TSTP Solution File: SWW360+1 by CSE---1.7
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%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWW360+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 : n007.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 18:08:22 EDT 2024
% Result : Theorem 199.17s 199.21s
% Output : CNFRefutation 199.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW360+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 05:53:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.51/0.57 start to proof:theBenchmark
% 198.73/199.05 %-------------------------------------------
% 198.73/199.05 % File :CSE---1.7
% 198.73/199.05 % Problem :theBenchmark
% 198.73/199.05 % Transform :cnf
% 198.73/199.05 % Format :tptp:raw
% 198.73/199.05 % Command :java -jar mcs_scs.jar %d %s
% 198.73/199.05
% 198.73/199.05 % Result :Theorem 184.590000s
% 198.73/199.05 % Output :CNFRefutation 184.590000s
% 198.73/199.05 %-------------------------------------------
% 198.84/199.06 %------------------------------------------------------------------------------
% 198.84/199.06 % File : SWW360+1 : TPTP v8.2.0. Released v5.2.0.
% 198.84/199.06 % Domain : Software Verification
% 198.84/199.06 % Problem : Hoare's Logic with Procedures 435423, 5000 axioms selected
% 198.84/199.06 % Version : Especial.
% 198.84/199.06 % English :
% 198.84/199.06
% 198.84/199.06 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 198.84/199.06 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 198.84/199.06 % Source : [Bla11]
% 198.84/199.06 % Names : hoare_435423.5000.p [Bla11]
% 198.84/199.06
% 198.84/199.06 % Status : ContradictoryAxioms
% 198.84/199.06 % Rating : 0.78 v8.2.0, 0.75 v8.1.0, 0.78 v7.5.0, 0.81 v7.4.0, 0.83 v7.3.0, 0.79 v7.1.0, 0.74 v7.0.0, 0.83 v6.4.0, 0.81 v6.3.0, 0.83 v6.2.0, 0.92 v6.1.0, 0.93 v6.0.0, 0.91 v5.5.0, 0.96 v5.4.0, 0.93 v5.3.0, 0.96 v5.2.0
% 198.84/199.06 % Syntax : Number of formulae : 5226 (1635 unt; 0 def)
% 198.84/199.06 % Number of atoms : 12830 (4424 equ)
% 198.84/199.06 % Maximal formula atoms : 13 ( 2 avg)
% 198.84/199.06 % Number of connectives : 8611 (1007 ~; 155 |; 740 &)
% 198.84/199.06 % ( 912 <=>;5797 =>; 0 <=; 0 <~>)
% 198.84/199.06 % Maximal formula depth : 22 ( 6 avg)
% 198.84/199.06 % Maximal term depth : 19 ( 2 avg)
% 198.84/199.06 % Number of predicates : 150 ( 149 usr; 0 prp; 1-6 aty)
% 198.84/199.06 % Number of functors : 376 ( 376 usr; 49 con; 0-7 aty)
% 198.84/199.07 % Number of variables : 16551 (16396 !; 155 ?)
% 198.84/199.07 % SPC : FOF_CAX_RFO_SEQ
% 198.84/199.07
% 198.84/199.07 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 198.84/199.07 % 2011-03-01 12:32:48
% 198.84/199.07 %------------------------------------------------------------------------------
% 198.84/199.07 %----Relevant facts (4983)
% 198.84/199.07 fof(fact_ext,axiom,
% 198.84/199.07 ! [V_g_2,V_f_2] :
% 198.84/199.07 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 198.84/199.07 => V_f_2 = V_g_2 ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_finite__imageI,axiom,
% 198.84/199.07 ! [V_h_2,T_c,V_F_2,T_b] :
% 198.84/199.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 198.84/199.07 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_finite_OinsertI,axiom,
% 198.84/199.07 ! [V_a_2,V_A_2,T_b] :
% 198.84/199.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.07 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_finite_OemptyI,axiom,
% 198.84/199.07 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_assms_I3_J,axiom,
% 198.84/199.07 ! [V_G_2,V_c_2] :
% 198.84/199.07 ( v_wt(V_c_2)
% 198.84/199.07 => ( ! [B_x] :
% 198.84/199.07 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),v_U))
% 198.84/199.07 => v_P(V_G_2,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,B_x)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) )
% 198.84/199.07 => v_P(V_G_2,hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(V_c_2)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_image__insert,axiom,
% 198.84/199.07 ! [V_B_2,V_a_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_assms_I1_J,axiom,
% 198.84/199.07 ! [V_G_2,V_ts_2] :
% 198.84/199.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),V_ts_2),V_G_2))
% 198.84/199.07 => v_P(V_G_2,V_ts_2) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_empty__is__image,axiom,
% 198.84/199.07 ! [V_A_2,V_f_2,T_c,T_b] :
% 198.84/199.07 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)
% 198.84/199.07 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_image__empty,axiom,
% 198.84/199.07 ! [V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_image__is__empty,axiom,
% 198.84/199.07 ! [V_A_2,V_f_2,T_b,T_c] :
% 198.84/199.07 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.07 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_finite__insert,axiom,
% 198.84/199.07 ! [V_A_2,V_a_2,T_b] :
% 198.84/199.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)))
% 198.84/199.07 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_empty__not__insert,axiom,
% 198.84/199.07 ! [V_A_2,V_a_2,T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_insert__not__empty,axiom,
% 198.84/199.07 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_equalityI,axiom,
% 198.84/199.07 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.84/199.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 198.84/199.07 => V_A_2 = V_B_2 ) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_empty__subsetI,axiom,
% 198.84/199.07 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_subset__refl,axiom,
% 198.84/199.07 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2)) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_set__eq__subset,axiom,
% 198.84/199.07 ! [T_b,V_B_2,V_A_2] :
% 198.84/199.07 ( V_A_2 = V_B_2
% 198.84/199.07 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.84/199.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_equalityD1,axiom,
% 198.84/199.07 ! [T_b,V_B_2,V_A_2] :
% 198.84/199.07 ( V_A_2 = V_B_2
% 198.84/199.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_equalityD2,axiom,
% 198.84/199.07 ! [T_b,V_B_2,V_A_2] :
% 198.84/199.07 ( V_A_2 = V_B_2
% 198.84/199.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_subset__trans,axiom,
% 198.84/199.07 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 198.84/199.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.84/199.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 198.84/199.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_equalityE,axiom,
% 198.84/199.07 ! [T_b,V_B_2,V_A_2] :
% 198.84/199.07 ( V_A_2 = V_B_2
% 198.84/199.07 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.84/199.07 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_subset__empty,axiom,
% 198.84/199.07 ! [V_A_2,T_b] :
% 198.84/199.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 198.84/199.07 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_finite__subset,axiom,
% 198.84/199.07 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.84/199.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.07 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_rev__finite__subset,axiom,
% 198.84/199.07 ! [V_A_2,V_B_2,T_b] :
% 198.84/199.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.84/199.07 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_insert__mono,axiom,
% 198.84/199.07 ! [V_a_2,V_D_2,V_C_2,T_b] :
% 198.84/199.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))
% 198.84/199.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_D_2))) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_subset__insertI2,axiom,
% 198.84/199.07 ! [V_b_2,V_B_2,V_A_2,T_b] :
% 198.84/199.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.84/199.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_subset__insertI,axiom,
% 198.84/199.07 ! [V_a_2,V_B_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_image__mono,axiom,
% 198.84/199.07 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 198.84/199.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.84/199.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_subset__image__iff,axiom,
% 198.84/199.07 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 198.84/199.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 198.84/199.07 <=> ? [B_AA] :
% 198.84/199.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2))
% 198.84/199.07 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_subset__singletonD,axiom,
% 198.84/199.07 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 198.84/199.07 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.07 | 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))) ) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_finite__surj,axiom,
% 198.84/199.07 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] :
% 198.84/199.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 198.84/199.07 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_finite__code,axiom,
% 198.84/199.07 ! [V_A_2,T_b] :
% 198.84/199.07 ( class_Finite__Set_Ofinite(T_b)
% 198.84/199.07 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_finite,axiom,
% 198.84/199.07 ! [V_A_2,T_b] :
% 198.84/199.07 ( class_Finite__Set_Ofinite(T_b)
% 198.84/199.07 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_insert__code,axiom,
% 198.84/199.07 ! [V_x_2,V_A_2,V_y_2,T_b] :
% 198.84/199.07 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2))
% 198.84/199.07 <=> ( V_y_2 = V_x_2
% 198.84/199.07 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_insert__commute,axiom,
% 198.84/199.07 ! [V_A_2,V_y_2,V_x_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_insert__absorb2,axiom,
% 198.84/199.07 ! [V_A_2,V_x_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_finite_Oequations_I1_J,axiom,
% 198.84/199.07 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_singleton__inject,axiom,
% 198.84/199.07 ! [V_b_2,V_a_2,T_b] :
% 198.84/199.07 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))
% 198.84/199.07 => V_a_2 = V_b_2 ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_doubleton__eq__iff,axiom,
% 198.84/199.07 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 198.84/199.07 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_d_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 198.84/199.07 <=> ( ( V_a_2 = V_c_2
% 198.84/199.07 & V_b_2 = V_d_2 )
% 198.84/199.07 | ( V_a_2 = V_d_2
% 198.84/199.07 & V_b_2 = V_c_2 ) ) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_assms_I2_J,axiom,
% 198.84/199.07 ! [V_G_2,V_pn_2] :
% 198.84/199.07 ( v_P(hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,V_pn_2)),V_G_2),hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(c_Option_Othe(tc_Com_Ocom,c_Com_Obody(V_pn_2)))),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))
% 198.84/199.07 => v_P(V_G_2,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,V_pn_2)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_the__elem__eq,axiom,
% 198.84/199.07 ! [V_x_2,T_b] : c_Set_Othe__elem(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ).
% 198.84/199.07
% 198.84/199.07 fof(fact_order__refl,axiom,
% 198.84/199.07 ! [V_x,T_a] :
% 198.84/199.07 ( class_Orderings_Opreorder(T_a)
% 198.84/199.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_bot__apply,axiom,
% 198.84/199.07 ! [V_x_2,T_c,T_b] :
% 198.84/199.07 ( class_Orderings_Obot(T_b)
% 198.84/199.07 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_le__fun__def,axiom,
% 198.84/199.07 ! [V_g_2,V_f_2,T_b,T_c] :
% 198.84/199.07 ( class_Orderings_Oord(T_c)
% 198.84/199.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 198.84/199.07 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_le__funD,axiom,
% 198.84/199.07 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 198.84/199.07 ( class_Orderings_Oord(T_c)
% 198.84/199.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 198.84/199.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_le__funE,axiom,
% 198.84/199.07 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 198.84/199.07 ( class_Orderings_Oord(T_c)
% 198.84/199.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 198.84/199.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_bot__least,axiom,
% 198.84/199.07 ! [V_x,T_a] :
% 198.84/199.07 ( class_Orderings_Obot(T_a)
% 198.84/199.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 198.84/199.07 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 198.84/199.07 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 198.84/199.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.07 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 198.84/199.07 => hAPP(hAPP(V_f_2,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 198.84/199.07 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 198.84/199.07 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 198.84/199.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.07 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.07 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 198.84/199.07 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 198.84/199.07 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 198.84/199.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 198.84/199.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 198.84/199.07 => hAPP(hAPP(V_f_2,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 198.84/199.07 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 198.84/199.07 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 198.84/199.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 198.84/199.07 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_folding__one__idem_Oidem,axiom,
% 198.84/199.07 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 198.84/199.07 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 198.84/199.07 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 198.84/199.07 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 198.84/199.07 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 198.84/199.07 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_linorder__le__cases,axiom,
% 198.84/199.07 ! [V_y,V_x,T_a] :
% 198.84/199.07 ( class_Orderings_Olinorder(T_a)
% 198.84/199.07 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 198.84/199.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 198.84/199.07
% 198.84/199.07 fof(fact_xt1_I6_J,axiom,
% 198.84/199.08 ! [V_z,V_x,V_y,T_a] :
% 198.84/199.08 ( class_Orderings_Oorder(T_a)
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_xt1_I5_J,axiom,
% 198.84/199.08 ! [V_x,V_y,T_a] :
% 198.84/199.08 ( class_Orderings_Oorder(T_a)
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 198.84/199.08 => V_x = V_y ) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_order__trans,axiom,
% 198.84/199.08 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.08 ( class_Orderings_Opreorder(T_a)
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_order__antisym,axiom,
% 198.84/199.08 ! [V_y,V_x,T_a] :
% 198.84/199.08 ( class_Orderings_Oorder(T_a)
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 198.84/199.08 => V_x = V_y ) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_xt1_I4_J,axiom,
% 198.84/199.08 ! [V_c,V_a,V_b,T_a] :
% 198.84/199.08 ( class_Orderings_Oorder(T_a)
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 198.84/199.08 => ( V_b = V_c
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_ord__le__eq__trans,axiom,
% 198.84/199.08 ! [V_c,V_b,V_a,T_a] :
% 198.84/199.08 ( class_Orderings_Oord(T_a)
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 198.84/199.08 => ( V_b = V_c
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_xt1_I3_J,axiom,
% 198.84/199.08 ! [V_c,V_b,V_a,T_a] :
% 198.84/199.08 ( class_Orderings_Oorder(T_a)
% 198.84/199.08 => ( V_a = V_b
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_ord__eq__le__trans,axiom,
% 198.84/199.08 ! [V_c,V_b,V_a,T_a] :
% 198.84/199.08 ( class_Orderings_Oord(T_a)
% 198.84/199.08 => ( V_a = V_b
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_order__antisym__conv,axiom,
% 198.84/199.08 ! [V_x_2,V_y_2,T_b] :
% 198.84/199.08 ( class_Orderings_Oorder(T_b)
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2))
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 198.84/199.08 <=> V_x_2 = V_y_2 ) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_order__eq__refl,axiom,
% 198.84/199.08 ! [V_y,V_x,T_a] :
% 198.84/199.08 ( class_Orderings_Opreorder(T_a)
% 198.84/199.08 => ( V_x = V_y
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_order__eq__iff,axiom,
% 198.84/199.08 ! [V_y_2,V_x_2,T_b] :
% 198.84/199.08 ( class_Orderings_Oorder(T_b)
% 198.84/199.08 => ( V_x_2 = V_y_2
% 198.84/199.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 198.84/199.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_linorder__linear,axiom,
% 198.84/199.08 ! [V_y,V_x,T_a] :
% 198.84/199.08 ( class_Orderings_Olinorder(T_a)
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 198.84/199.08 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_assms_I4_J,axiom,
% 198.84/199.08 ! [V_pn_2] :
% 198.84/199.08 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),V_pn_2),v_U))
% 198.84/199.08 => v_wt(c_Option_Othe(tc_Com_Ocom,c_Com_Obody(V_pn_2))) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 198.84/199.08 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] :
% 198.84/199.08 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 198.84/199.08 => ( ! [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))
% 198.84/199.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 198.84/199.08 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.08 => hAPP(V_h_2,hAPP(V_F_2,V_N_2)) = hAPP(V_F_2,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_finite__subset__image,axiom,
% 198.84/199.08 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 198.84/199.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 198.84/199.08 => ? [B_C] :
% 198.84/199.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_C),V_A_2))
% 198.84/199.08 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),B_C))
% 198.84/199.08 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_C) ) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_fold1Set__sing,axiom,
% 198.84/199.08 ! [V_b_2,V_a_2,V_f_2,T_b] :
% 198.84/199.08 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_b_2))
% 198.84/199.08 <=> V_a_2 = V_b_2 ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_folding__one_Osingleton,axiom,
% 198.84/199.08 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 198.84/199.08 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 198.84/199.08 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_finite_Osimps,axiom,
% 198.84/199.08 ! [V_a_2,T_b] :
% 198.84/199.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a_2))
% 198.84/199.08 <=> ( V_a_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.08 | ? [B_A] :
% 198.84/199.08 ( ? [B_a] : V_a_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 198.84/199.08 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A)) ) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 198.84/199.08 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 198.84/199.08 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 198.84/199.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.08 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.08 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.08 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 198.84/199.08 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] :
% 198.84/199.08 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 198.84/199.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.08 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_a_2),V_A_2) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_predicate1D,axiom,
% 198.84/199.08 ! [V_x_2,V_Q_2,V_Pa_2,T_b] :
% 198.84/199.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Q_2))
% 198.84/199.08 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 198.84/199.08 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_rev__predicate1D,axiom,
% 198.84/199.08 ! [V_Q_2,T_b,V_x_2,V_Pa_2] :
% 198.84/199.08 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Q_2))
% 198.84/199.08 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_Max__mono,axiom,
% 198.84/199.08 ! [V_N_2,V_M_2,T_b] :
% 198.84/199.08 ( class_Orderings_Olinorder(T_b)
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 198.84/199.08 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_M_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2))) ) ) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_Min__antimono,axiom,
% 198.84/199.08 ! [V_N_2,V_M_2,T_b] :
% 198.84/199.08 ( class_Orderings_Olinorder(T_b)
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 198.84/199.08 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_M_2))) ) ) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_equalityCE,axiom,
% 198.84/199.08 ! [V_c_2,T_b,V_B_2,V_A_2] :
% 198.84/199.08 ( V_A_2 = V_B_2
% 198.84/199.08 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 198.84/199.08 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) )
% 198.84/199.08 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_sup1E,axiom,
% 198.84/199.08 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 198.84/199.08 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 198.84/199.08 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 198.84/199.08 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_sup1CI,axiom,
% 198.84/199.08 ! [T_b,V_A_2,V_x_2,V_B_2] :
% 198.84/199.08 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 198.84/199.08 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 198.84/199.08 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_emptyE,axiom,
% 198.84/199.08 ! [V_a_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_insertCI,axiom,
% 198.84/199.08 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 198.84/199.08 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 198.84/199.08 => V_a_2 = V_b_2 )
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_insertE,axiom,
% 198.84/199.08 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 198.84/199.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 198.84/199.08 => ( V_a_2 != V_b_2
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_subsetD,axiom,
% 198.84/199.08 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 198.84/199.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_image__eqI,axiom,
% 198.84/199.08 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] :
% 198.84/199.08 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_UnCI,axiom,
% 198.84/199.08 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 198.84/199.08 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) )
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_UnE,axiom,
% 198.84/199.08 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 198.84/199.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 198.84/199.08 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_sup__le__fold__sup,axiom,
% 198.84/199.08 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 198.84/199.08 ( class_Lattices_Osemilattice__sup(T_b)
% 198.84/199.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),V_A_2))) ) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_Sup__fin_Oidem,axiom,
% 198.84/199.08 ! [V_x,T_a] :
% 198.84/199.08 ( class_Lattices_Olattice(T_a)
% 198.84/199.08 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_eq__mem,axiom,
% 198.84/199.08 ! [V_y_2,V_x_2,T_b] :
% 198.84/199.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2)))
% 198.84/199.08 <=> V_x_2 = V_y_2 ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_sup1I1,axiom,
% 198.84/199.08 ! [V_B_2,T_b,V_x_2,V_A_2] :
% 198.84/199.08 ( hBOOL(hAPP(V_A_2,V_x_2))
% 198.84/199.08 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_sup1I2,axiom,
% 198.84/199.08 ! [V_A_2,T_b,V_x_2,V_B_2] :
% 198.84/199.08 ( hBOOL(hAPP(V_B_2,V_x_2))
% 198.84/199.08 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_eq__mem__trans,axiom,
% 198.84/199.08 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 198.84/199.08 ( V_a_2 = V_b_2
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_eqelem__imp__iff,axiom,
% 198.84/199.08 ! [V_A_2,T_b,V_y_2,V_x_2] :
% 198.84/199.08 ( V_x_2 = V_y_2
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.08 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_eqset__imp__iff,axiom,
% 198.84/199.08 ! [V_x_2,T_b,V_B_2,V_A_2] :
% 198.84/199.08 ( V_A_2 = V_B_2
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.08 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_UnI2,axiom,
% 198.84/199.08 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 198.84/199.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_UnI1,axiom,
% 198.84/199.08 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 198.84/199.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_ball__Un,axiom,
% 198.84/199.08 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 198.84/199.08 ( ! [B_x] :
% 198.84/199.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 198.84/199.08 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 198.84/199.08 <=> ( ! [B_x] :
% 198.84/199.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.84/199.08 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 198.84/199.08 & ! [B_x] :
% 198.84/199.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 198.84/199.08 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_bex__Un,axiom,
% 198.84/199.08 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 198.84/199.08 ( ? [B_x] :
% 198.84/199.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 198.84/199.08 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 198.84/199.08 <=> ( ? [B_x] :
% 198.84/199.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.84/199.08 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 198.84/199.08 | ? [B_x] :
% 198.84/199.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 198.84/199.08 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_Un__assoc,axiom,
% 198.84/199.08 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_Un__iff,axiom,
% 198.84/199.08 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 198.84/199.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 198.84/199.08 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 198.84/199.08 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_Un__left__commute,axiom,
% 198.84/199.08 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_Un__left__absorb,axiom,
% 198.84/199.08 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_Un__commute,axiom,
% 198.84/199.08 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_mem__def,axiom,
% 198.84/199.08 ! [V_A_2,V_x_2,T_b] :
% 198.84/199.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.08 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_Un__absorb,axiom,
% 198.84/199.08 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 198.84/199.08
% 198.84/199.08 fof(fact_fold__sup__insert,axiom,
% 198.84/199.08 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 198.84/199.08 ( class_Lattices_Osemilattice__sup(T_b)
% 198.84/199.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.08 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),V_A_2)) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_Max__ge,axiom,
% 198.84/199.08 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.08 ( class_Orderings_Olinorder(T_b)
% 198.84/199.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2))) ) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_Min__le,axiom,
% 198.84/199.08 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.08 ( class_Orderings_Olinorder(T_b)
% 198.84/199.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_x_2)) ) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_folding__one_Oeq__fold_H,axiom,
% 198.84/199.08 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 198.84/199.08 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 198.84/199.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.08 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.08 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_x_2),V_A_2) ) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_Min__in,axiom,
% 198.84/199.08 ! [V_A_2,T_b] :
% 198.84/199.08 ( class_Orderings_Olinorder(T_b)
% 198.84/199.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.08 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_Max__in,axiom,
% 198.84/199.08 ! [V_A_2,T_b] :
% 198.84/199.08 ( class_Orderings_Olinorder(T_b)
% 198.84/199.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.08 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_union__fold__insert,axiom,
% 198.84/199.08 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.08 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)),V_B_2),V_A_2) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_fold__empty,axiom,
% 198.84/199.08 ! [V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ).
% 198.84/199.08
% 198.84/199.08 fof(fact_Un__empty,axiom,
% 198.84/199.08 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.08 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.08 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.08 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_Un__empty__right,axiom,
% 198.84/199.08 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ).
% 198.84/199.08
% 198.84/199.08 fof(fact_Un__empty__left,axiom,
% 198.84/199.08 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 198.84/199.08
% 198.84/199.08 fof(fact_finite__UnI,axiom,
% 198.84/199.08 ! [V_G_2,V_F_2,T_b] :
% 198.84/199.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 198.84/199.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2))
% 198.84/199.08 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_G_2))) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_finite__Un,axiom,
% 198.84/199.08 ! [V_G_2,V_F_2,T_b] :
% 198.84/199.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_G_2)))
% 198.84/199.08 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 198.84/199.08 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_Un__insert__left,axiom,
% 198.84/199.08 ! [V_C_2,V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_Un__insert__right,axiom,
% 198.84/199.08 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_Un__upper1,axiom,
% 198.84/199.08 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_Un__upper2,axiom,
% 198.84/199.08 ! [V_A_2,V_B_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_subset__Un__eq,axiom,
% 198.84/199.08 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.84/199.08 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_Un__absorb1,axiom,
% 198.84/199.08 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.84/199.08 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_Un__absorb2,axiom,
% 198.84/199.08 ! [V_A_2,V_B_2,T_b] :
% 198.84/199.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 198.84/199.08 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_Un__least,axiom,
% 198.84/199.08 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 198.84/199.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 198.84/199.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 198.84/199.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) ) ) ).
% 198.84/199.08
% 198.84/199.08 fof(fact_Un__mono,axiom,
% 198.84/199.09 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 198.84/199.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_image__Un,axiom,
% 198.84/199.09 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_equals0D,axiom,
% 198.84/199.09 ! [V_a_2,T_b,V_A_2] :
% 198.84/199.09 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.09 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_empty__iff,axiom,
% 198.84/199.09 ! [V_c_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_ex__in__conv,axiom,
% 198.84/199.09 ! [V_A_2,T_b] :
% 198.84/199.09 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.84/199.09 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_all__not__in__conv,axiom,
% 198.84/199.09 ! [V_A_2,T_b] :
% 198.84/199.09 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.84/199.09 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_insert__absorb,axiom,
% 198.84/199.09 ! [V_A_2,V_a_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.84/199.09 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_insertI2,axiom,
% 198.84/199.09 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 198.84/199.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_insert__ident,axiom,
% 198.84/199.09 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 198.84/199.09 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.09 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 198.84/199.09 => ( hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)
% 198.84/199.09 <=> V_A_2 = V_B_2 ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_insert__iff,axiom,
% 198.84/199.09 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 198.84/199.09 <=> ( V_a_2 = V_b_2
% 198.84/199.09 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_insertI1,axiom,
% 198.84/199.09 ! [V_B_2,V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_in__mono,axiom,
% 198.84/199.09 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_set__rev__mp,axiom,
% 198.84/199.09 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.84/199.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_set__mp,axiom,
% 198.84/199.09 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_rev__image__eqI,axiom,
% 198.84/199.09 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.09 => ( V_b_2 = hAPP(V_f_2,V_x_2)
% 198.84/199.09 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_imageI,axiom,
% 198.84/199.09 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.09 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_image__iff,axiom,
% 198.84/199.09 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 198.84/199.09 <=> ? [B_x] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 198.84/199.09 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Min_Osingleton,axiom,
% 198.84/199.09 ! [V_x_2,T_b] :
% 198.84/199.09 ( class_Orderings_Olinorder(T_b)
% 198.84/199.09 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Max_Osingleton,axiom,
% 198.84/199.09 ! [V_x_2,T_b] :
% 198.84/199.09 ( class_Orderings_Olinorder(T_b)
% 198.84/199.09 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_folding__one_Oinsert,axiom,
% 198.84/199.09 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 198.84/199.09 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.09 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.09 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_insert__is__Un,axiom,
% 198.84/199.09 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_A_2) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_fold1Set__nonempty,axiom,
% 198.84/199.09 ! [V_x_2,V_A_2,V_f_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2))
% 198.84/199.09 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_empty__fold1SetE,axiom,
% 198.84/199.09 ! [V_x_2,V_f_2,T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2)) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_singletonE,axiom,
% 198.84/199.09 ! [V_a_2,V_b_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 198.84/199.09 => V_b_2 = V_a_2 ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_singleton__iff,axiom,
% 198.84/199.09 ! [V_a_2,V_b_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 198.84/199.09 <=> V_b_2 = V_a_2 ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_insert__subset,axiom,
% 198.84/199.09 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2))
% 198.84/199.09 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 198.84/199.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_subset__insert,axiom,
% 198.84/199.09 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 198.84/199.09 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)))
% 198.84/199.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_insert__image,axiom,
% 198.84/199.09 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.09 => hAPP(hAPP(c_Set_Oinsert(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_folding__one__idem_Oin__idem,axiom,
% 198.84/199.09 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 198.84/199.09 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.09 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 198.84/199.09 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 198.84/199.09 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 198.84/199.09 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 198.84/199.09 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 198.84/199.09 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 198.84/199.09 => hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_sup__apply,axiom,
% 198.84/199.09 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 198.84/199.09 ( class_Lattices_Olattice(T_b)
% 198.84/199.09 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_sup__eq__bot__iff,axiom,
% 198.84/199.09 ! [V_y_2,V_x_2,T_b] :
% 198.84/199.09 ( class_Lattices_Obounded__lattice__bot(T_b)
% 198.84/199.09 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b)
% 198.84/199.09 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b)
% 198.84/199.09 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_sup__bot__right,axiom,
% 198.84/199.09 ! [V_x,T_a] :
% 198.84/199.09 ( class_Lattices_Obounded__lattice__bot(T_a)
% 198.84/199.09 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_sup__bot__left,axiom,
% 198.84/199.09 ! [V_x,T_a] :
% 198.84/199.09 ( class_Lattices_Obounded__lattice__bot(T_a)
% 198.84/199.09 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_inf__sup__ord_I3_J,axiom,
% 198.84/199.09 ! [V_y,V_x,T_a] :
% 198.84/199.09 ( class_Lattices_Olattice(T_a)
% 198.84/199.09 => 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))) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_sup__ge1,axiom,
% 198.84/199.09 ! [V_y,V_x,T_a] :
% 198.84/199.09 ( class_Lattices_Osemilattice__sup(T_a)
% 198.84/199.09 => 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))) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_inf__sup__ord_I4_J,axiom,
% 198.84/199.09 ! [V_x,V_y,T_a] :
% 198.84/199.09 ( class_Lattices_Olattice(T_a)
% 198.84/199.09 => 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))) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_sup__ge2,axiom,
% 198.84/199.09 ! [V_x,V_y,T_a] :
% 198.84/199.09 ( class_Lattices_Osemilattice__sup(T_a)
% 198.84/199.09 => 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))) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_le__iff__sup,axiom,
% 198.84/199.09 ! [V_y_2,V_x_2,T_b] :
% 198.84/199.09 ( class_Lattices_Osemilattice__sup(T_b)
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 198.84/199.09 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_le__sup__iff,axiom,
% 198.84/199.09 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 198.84/199.09 ( class_Lattices_Osemilattice__sup(T_b)
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2)),V_z_2))
% 198.84/199.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 198.84/199.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_le__supI1,axiom,
% 198.84/199.09 ! [V_b,V_a,V_x,T_a] :
% 198.84/199.09 ( class_Lattices_Osemilattice__sup(T_a)
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 198.84/199.09 => 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))) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_le__supI2,axiom,
% 198.84/199.09 ! [V_a,V_b,V_x,T_a] :
% 198.84/199.09 ( class_Lattices_Osemilattice__sup(T_a)
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 198.84/199.09 => 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))) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_sup__assoc,axiom,
% 198.84/199.09 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.09 ( class_Lattices_Osemilattice__sup(T_a)
% 198.84/199.09 => 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)) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_inf__sup__aci_I6_J,axiom,
% 198.84/199.09 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.09 ( class_Lattices_Olattice(T_a)
% 198.84/199.09 => 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)) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_sup_Oassoc,axiom,
% 198.84/199.09 ! [V_c,V_b,V_a,T_a] :
% 198.84/199.09 ( class_Lattices_Osemilattice__sup(T_a)
% 198.84/199.09 => 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)) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_sup__left__commute,axiom,
% 198.84/199.09 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.09 ( class_Lattices_Osemilattice__sup(T_a)
% 198.84/199.09 => 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)) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_inf__sup__aci_I7_J,axiom,
% 198.84/199.09 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.09 ( class_Lattices_Olattice(T_a)
% 198.84/199.09 => 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)) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_sup_Oleft__commute,axiom,
% 198.84/199.09 ! [V_c,V_a,V_b,T_a] :
% 198.84/199.09 ( class_Lattices_Osemilattice__sup(T_a)
% 198.84/199.09 => 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)) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_sup__left__idem,axiom,
% 198.84/199.09 ! [V_y,V_x,T_a] :
% 198.84/199.09 ( class_Lattices_Osemilattice__sup(T_a)
% 198.84/199.09 => 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) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_inf__sup__aci_I8_J,axiom,
% 198.84/199.09 ! [V_y,V_x,T_a] :
% 198.84/199.09 ( class_Lattices_Olattice(T_a)
% 198.84/199.09 => 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) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_sup_Oleft__idem,axiom,
% 198.84/199.09 ! [V_b,V_a,T_a] :
% 198.84/199.09 ( class_Lattices_Osemilattice__sup(T_a)
% 198.84/199.09 => 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) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_sup__commute,axiom,
% 198.84/199.09 ! [V_y,V_x,T_a] :
% 198.84/199.09 ( class_Lattices_Osemilattice__sup(T_a)
% 198.84/199.09 => 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) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_inf__sup__aci_I5_J,axiom,
% 198.84/199.09 ! [V_y,V_x,T_a] :
% 198.84/199.09 ( class_Lattices_Olattice(T_a)
% 198.84/199.09 => 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) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_sup_Ocommute,axiom,
% 198.84/199.09 ! [V_b,V_a,T_a] :
% 198.84/199.09 ( class_Lattices_Osemilattice__sup(T_a)
% 198.84/199.09 => 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) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_sup__idem,axiom,
% 198.84/199.09 ! [V_x,T_a] :
% 198.84/199.09 ( class_Lattices_Osemilattice__sup(T_a)
% 198.84/199.09 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_sup_Oidem,axiom,
% 198.84/199.09 ! [V_a,T_a] :
% 198.84/199.09 ( class_Lattices_Osemilattice__sup(T_a)
% 198.84/199.09 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_le__supE,axiom,
% 198.84/199.09 ! [V_x,V_b,V_a,T_a] :
% 198.84/199.09 ( class_Lattices_Osemilattice__sup(T_a)
% 198.84/199.09 => ( 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))
% 198.84/199.09 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 198.84/199.09 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_sup__mono,axiom,
% 198.84/199.09 ! [V_d,V_b,V_c,V_a,T_a] :
% 198.84/199.09 ( class_Lattices_Osemilattice__sup(T_a)
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 198.84/199.09 => 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))) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_sup__least,axiom,
% 198.84/199.09 ! [V_z,V_x,V_y,T_a] :
% 198.84/199.09 ( class_Lattices_Osemilattice__sup(T_a)
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 198.84/199.09 => 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)) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_le__supI,axiom,
% 198.84/199.09 ! [V_b,V_x,V_a,T_a] :
% 198.84/199.09 ( class_Lattices_Osemilattice__sup(T_a)
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 198.84/199.09 => 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)) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_sup__absorb1,axiom,
% 198.84/199.09 ! [V_x,V_y,T_a] :
% 198.84/199.09 ( class_Lattices_Osemilattice__sup(T_a)
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 198.84/199.09 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_sup__absorb2,axiom,
% 198.84/199.09 ! [V_y,V_x,T_a] :
% 198.84/199.09 ( class_Lattices_Osemilattice__sup(T_a)
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 198.84/199.09 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_folding__one_Oclosed,axiom,
% 198.84/199.09 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 198.84/199.09 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.09 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(V_f_2,B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 198.84/199.09 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 198.84/199.09 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 198.84/199.09 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.09 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 198.84/199.09 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 198.84/199.09 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.09 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_finite__subset__induct,axiom,
% 198.84/199.09 ! [V_Pa_2,V_A_2,V_F_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2))
% 198.84/199.09 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 198.84/199.09 => ( ! [B_a,B_F] :
% 198.84/199.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 198.84/199.09 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F))
% 198.84/199.09 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 198.84/199.09 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) )
% 198.84/199.09 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 198.84/199.09 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.09 ( class_Lattices_Olattice(T_b)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.09 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_x_2),V_A_2) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Sup__fold__sup,axiom,
% 198.84/199.09 ! [V_A_2,T_b] :
% 198.84/199.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),c_Orderings_Obot__class_Obot(T_b)),V_A_2) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Sup__fin_Oinsert,axiom,
% 198.84/199.09 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.09 ( class_Lattices_Olattice(T_b)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.09 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.09 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_folding__image__simple_Oinsert,axiom,
% 198.84/199.09 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 198.84/199.09 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 198.84/199.09 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 198.84/199.09 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 198.84/199.09 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 198.84/199.09 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 198.84/199.09 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 198.84/199.09 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_folding__one_Oremove,axiom,
% 198.84/199.09 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 198.84/199.09 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.09 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.09 => hAPP(V_F_2,V_A_2) = V_x_2 )
% 198.84/199.09 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.09 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_DiffE,axiom,
% 198.84/199.09 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 198.84/199.09 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 198.84/199.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_DiffI,axiom,
% 198.84/199.09 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 198.84/199.09 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 198.84/199.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_finite__Diff,axiom,
% 198.84/199.09 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_minus__apply,axiom,
% 198.84/199.09 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 198.84/199.09 ( class_Groups_Ominus(T_b)
% 198.84/199.09 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,T_b)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 198.84/199.09 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] :
% 198.84/199.09 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 198.84/199.09 => 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) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 198.84/199.09 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 198.84/199.09 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 198.84/199.09 => 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)) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Diff__idemp,axiom,
% 198.84/199.09 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_DiffD2,axiom,
% 198.84/199.09 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 198.84/199.09 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_DiffD1,axiom,
% 198.84/199.09 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 198.84/199.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Diff__iff,axiom,
% 198.84/199.09 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 198.84/199.09 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 198.84/199.09 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Diff__cancel,axiom,
% 198.84/199.09 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Diff__empty,axiom,
% 198.84/199.09 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ).
% 198.84/199.09
% 198.84/199.09 fof(fact_empty__Diff,axiom,
% 198.84/199.09 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_finite__Diff2,axiom,
% 198.84/199.09 ! [V_A_2,V_B_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 198.84/199.09 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_finite__UnionD,axiom,
% 198.84/199.09 ! [V_A_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))
% 198.84/199.09 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Diff__subset,axiom,
% 198.84/199.09 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Diff__mono,axiom,
% 198.84/199.09 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2))
% 198.84/199.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_double__diff,axiom,
% 198.84/199.09 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 198.84/199.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) = V_A_2 ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Un__Diff,axiom,
% 198.84/199.09 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Un__Diff__cancel2,axiom,
% 198.84/199.09 ! [V_A_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Un__Diff__cancel,axiom,
% 198.84/199.09 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Sup__fin__Sup,axiom,
% 198.84/199.09 ! [V_A_2,T_b] :
% 198.84/199.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.09 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 198.84/199.09 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 198.84/199.09 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 198.84/199.09 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_fun__left__comm__idem__insert,axiom,
% 198.84/199.09 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_fun__left__comm__idem__sup,axiom,
% 198.84/199.09 ! [T_b] :
% 198.84/199.09 ( class_Lattices_Osemilattice__sup(T_b)
% 198.84/199.09 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_insert__Diff__if,axiom,
% 198.84/199.09 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 198.84/199.09 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 198.84/199.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) )
% 198.84/199.09 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 198.84/199.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_insert__Diff1,axiom,
% 198.84/199.09 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 198.84/199.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 198.84/199.09 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.09 ( class_Lattices_Olattice(T_b)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.09 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 198.84/199.09 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.09 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_insert__Diff__single,axiom,
% 198.84/199.09 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Diff__insert2,axiom,
% 198.84/199.09 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Diff__insert,axiom,
% 198.84/199.09 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_finite__Diff__insert,axiom,
% 198.84/199.09 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))))
% 198.84/199.09 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_image__diff__subset,axiom,
% 198.84/199.09 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Diff__subset__conv,axiom,
% 198.84/199.09 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2))
% 198.84/199.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Diff__partition,axiom,
% 198.84/199.09 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.84/199.09 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = V_B_2 ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_folding__image__simple_Oempty,axiom,
% 198.84/199.09 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 198.84/199.09 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 198.84/199.09 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 198.84/199.09 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 198.84/199.09 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_folding__image__simple_Oremove,axiom,
% 198.84/199.09 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 198.84/199.09 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 198.84/199.09 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Sup__fin_Osingleton,axiom,
% 198.84/199.09 ! [V_x_2,T_b] :
% 198.84/199.09 ( class_Lattices_Olattice(T_b)
% 198.84/199.09 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Sup__fin_Oremove,axiom,
% 198.84/199.09 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.09 ( class_Lattices_Olattice(T_b)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.09 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.09 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 )
% 198.84/199.09 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.09 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 198.84/199.09 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 198.84/199.09 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.09 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_insert__Diff,axiom,
% 198.84/199.09 ! [V_A_2,V_a_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.84/199.09 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = V_A_2 ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Diff__insert__absorb,axiom,
% 198.84/199.09 ! [V_A_2,V_x_2,T_b] :
% 198.84/199.09 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 198.84/199.09 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 198.84/199.09 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Sup__fin_Oin__idem,axiom,
% 198.84/199.09 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.09 ( class_Lattices_Olattice(T_b)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.09 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_diff__single__insert,axiom,
% 198.84/199.09 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2))
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_subset__insert__iff,axiom,
% 198.84/199.09 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)))
% 198.84/199.09 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) )
% 198.84/199.09 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_folding__one_Oinsert__remove,axiom,
% 198.84/199.09 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 198.84/199.09 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.09 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 198.84/199.09 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.09 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_sup__Sup__fold__sup,axiom,
% 198.84/199.09 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_B_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_B_2),V_A_2) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 198.84/199.09 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.09 ( class_Lattices_Olattice(T_b)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.09 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Sup__fin_Osubset__idem,axiom,
% 198.84/199.09 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.09 ( class_Lattices_Olattice(T_b)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 198.84/199.09 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Sup__fin_Ounion__idem,axiom,
% 198.84/199.09 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.09 ( class_Lattices_Olattice(T_b)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.09 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.09 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 198.84/199.09 ! [V_a_2,V_A_2,T_b] :
% 198.84/199.09 ( class_Lattices_Olattice(T_b)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_a_2),V_A_2) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Sup__binary,axiom,
% 198.84/199.09 ! [V_b_2,V_a_2,T_b] :
% 198.84/199.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.84/199.09 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_b_2) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Sup__insert,axiom,
% 198.84/199.09 ! [V_A_2,V_a_2,T_b] :
% 198.84/199.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.84/199.09 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Sup__singleton,axiom,
% 198.84/199.09 ! [V_a_2,T_b] :
% 198.84/199.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.84/199.09 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Sup__empty,axiom,
% 198.84/199.09 ! [T_b] :
% 198.84/199.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.84/199.09 => c_Complete__Lattice_OSup__class_OSup(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Sup__upper,axiom,
% 198.84/199.09 ! [V_A_2,V_x_2,T_b] :
% 198.84/199.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2))) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_UnionI,axiom,
% 198.84/199.09 ! [V_A_2,V_C_2,V_X_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2))
% 198.84/199.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Sup__fin_Oclosed,axiom,
% 198.84/199.09 ! [V_A_2,T_b] :
% 198.84/199.09 ( class_Lattices_Olattice(T_b)
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.09 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 198.84/199.09 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Sup__le__iff,axiom,
% 198.84/199.09 ! [V_b_2,V_A_2,T_b] :
% 198.84/199.09 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)),V_b_2))
% 198.84/199.09 <=> ! [B_x] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.84/199.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_diff__eq__diff__less__eq,axiom,
% 198.84/199.09 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 198.84/199.09 ( class_Groups_Oordered__ab__group__add(T_b)
% 198.84/199.09 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2)
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 198.84/199.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Sup__fin_Ohom__commute,axiom,
% 198.84/199.09 ! [V_N_2,V_h_2,T_b] :
% 198.84/199.09 ( class_Lattices_Olattice(T_b)
% 198.84/199.09 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 198.84/199.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 198.84/199.09 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.09 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OSup__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_finite__empty__induct,axiom,
% 198.84/199.09 ! [V_Pa_2,V_A_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.09 => ( hBOOL(hAPP(V_Pa_2,V_A_2))
% 198.84/199.09 => ( ! [B_a,B_A] :
% 198.84/199.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A))
% 198.84/199.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A))
% 198.84/199.09 => ( hBOOL(hAPP(V_Pa_2,B_A))
% 198.84/199.09 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(hAPP(c_Set_Oinsert(T_b),B_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) )
% 198.84/199.09 => hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Union__empty,axiom,
% 198.84/199.09 ! [T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_diff__eq__diff__eq,axiom,
% 198.84/199.09 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 198.84/199.09 ( class_Groups_Oab__group__add(T_b)
% 198.84/199.09 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2)
% 198.84/199.09 => ( V_a_2 = V_b_2
% 198.84/199.09 <=> V_c_2 = V_d_2 ) ) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Union__upper,axiom,
% 198.84/199.09 ! [V_A_2,V_B_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 198.84/199.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Union__mono,axiom,
% 198.84/199.09 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))
% 198.84/199.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2))) ) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Union__insert,axiom,
% 198.84/199.09 ! [V_B_2,V_a_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 198.84/199.09
% 198.84/199.09 fof(fact_Union__Un__distrib,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Un__eq__Union,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_finite__Union,axiom,
% 198.84/199.10 ! [V_A_2,T_b] :
% 198.84/199.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2))
% 198.84/199.10 => ( ! [B_M] :
% 198.84/199.10 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2))
% 198.84/199.10 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) )
% 198.84/199.10 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Min_Oremove,axiom,
% 198.84/199.10 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.10 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 )
% 198.84/199.10 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Max_Oremove,axiom,
% 198.84/199.10 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.10 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 )
% 198.84/199.10 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_setsum__diff1,axiom,
% 198.84/199.10 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 198.84/199.10 ( class_Groups_Oab__group__add(T_c)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.84/199.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 198.84/199.10 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.84/199.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_setsum__diff1__ring,axiom,
% 198.84/199.10 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 198.84/199.10 ( class_Rings_Oring(T_c)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.84/199.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Lattices_Olattice(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => ( 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))
% 198.84/199.10 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Sup__fin_Ounion__inter,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Lattices_Olattice(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.10 => ( 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))
% 198.84/199.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Max__eqI,axiom,
% 198.84/199.10 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( ! [B_y] :
% 198.84/199.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 198.84/199.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) )
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.10 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Min__eqI,axiom,
% 198.84/199.10 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( ! [B_y] :
% 198.84/199.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 198.84/199.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) )
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.10 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_fold__sup__le__sup,axiom,
% 198.84/199.10 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Lattices_Osemilattice__sup(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( ! [B_x] :
% 198.84/199.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.84/199.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 198.84/199.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_c_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_b_2),V_c_2))) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_fold1Set_Ointros,axiom,
% 198.84/199.10 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] :
% 198.84/199.10 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2))
% 198.84/199.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.84/199.10 => hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),V_x_2)) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf1E,axiom,
% 198.84/199.10 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 198.84/199.10 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 198.84/199.10 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 198.84/199.10 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf1I,axiom,
% 198.84/199.10 ! [T_b,V_B_2,V_x_2,V_A_2] :
% 198.84/199.10 ( hBOOL(hAPP(V_A_2,V_x_2))
% 198.84/199.10 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 198.84/199.10 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_IntE,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 198.84/199.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 198.84/199.10 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 198.84/199.10 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_IntI,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 198.84/199.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 198.84/199.10 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_finite__Int,axiom,
% 198.84/199.10 ! [V_G_2,V_F_2,T_b] :
% 198.84/199.10 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 198.84/199.10 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) )
% 198.84/199.10 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_G_2))) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf__apply,axiom,
% 198.84/199.10 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 198.84/199.10 ( class_Lattices_Olattice(T_b)
% 198.84/199.10 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 198.84/199.10 ! [V_x,V_z,V_y,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 198.84/199.10 ! [V_x,V_z,V_y,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf__assoc,axiom,
% 198.84/199.10 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Osemilattice__inf(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf__sup__aci_I2_J,axiom,
% 198.84/199.10 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Olattice(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf_Oassoc,axiom,
% 198.84/199.10 ! [V_c,V_b,V_a,T_a] :
% 198.84/199.10 ( class_Lattices_Osemilattice__inf(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Oinf__assoc,axiom,
% 198.84/199.10 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Oinf_Oassoc,axiom,
% 198.84/199.10 ! [V_c,V_b,V_a,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Osup__assoc,axiom,
% 198.84/199.10 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Osup_Oassoc,axiom,
% 198.84/199.10 ! [V_c,V_b,V_a,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 198.84/199.10 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 198.84/199.10 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf__left__commute,axiom,
% 198.84/199.10 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Osemilattice__inf(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf__sup__aci_I3_J,axiom,
% 198.84/199.10 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Olattice(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf_Oleft__commute,axiom,
% 198.84/199.10 ! [V_c,V_a,V_b,T_a] :
% 198.84/199.10 ( class_Lattices_Osemilattice__inf(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Oinf__left__commute,axiom,
% 198.84/199.10 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 198.84/199.10 ! [V_c,V_a,V_b,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Osup__left__commute,axiom,
% 198.84/199.10 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 198.84/199.10 ! [V_c,V_a,V_b,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf__left__idem,axiom,
% 198.84/199.10 ! [V_y,V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Osemilattice__inf(T_a)
% 198.84/199.10 => 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) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf__sup__aci_I4_J,axiom,
% 198.84/199.10 ! [V_y,V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Olattice(T_a)
% 198.84/199.10 => 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) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf_Oleft__idem,axiom,
% 198.84/199.10 ! [V_b,V_a,T_a] :
% 198.84/199.10 ( class_Lattices_Osemilattice__inf(T_a)
% 198.84/199.10 => 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) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Oinf__left__idem,axiom,
% 198.84/199.10 ! [V_y,V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 198.84/199.10 ! [V_b,V_a,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Osup__left__idem,axiom,
% 198.84/199.10 ! [V_y,V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 198.84/199.10 ! [V_b,V_a,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 198.84/199.10 ! [V_y,V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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 ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Osup__inf__absorb,axiom,
% 198.84/199.10 ! [V_y,V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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 ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf__commute,axiom,
% 198.84/199.10 ! [V_y,V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Osemilattice__inf(T_a)
% 198.84/199.10 => 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) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf__sup__aci_I1_J,axiom,
% 198.84/199.10 ! [V_y,V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Olattice(T_a)
% 198.84/199.10 => 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) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf_Ocommute,axiom,
% 198.84/199.10 ! [V_b,V_a,T_a] :
% 198.84/199.10 ( class_Lattices_Osemilattice__inf(T_a)
% 198.84/199.10 => 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) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Oinf__commute,axiom,
% 198.84/199.10 ! [V_y,V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Oinf_Ocommute,axiom,
% 198.84/199.10 ! [V_b,V_a,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Osup__commute,axiom,
% 198.84/199.10 ! [V_y,V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Osup_Ocommute,axiom,
% 198.84/199.10 ! [V_b,V_a,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf__idem,axiom,
% 198.84/199.10 ! [V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Osemilattice__inf(T_a)
% 198.84/199.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf_Oidem,axiom,
% 198.84/199.10 ! [V_a,T_a] :
% 198.84/199.10 ( class_Lattices_Osemilattice__inf(T_a)
% 198.84/199.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Oinf_Oidem,axiom,
% 198.84/199.10 ! [V_a,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Osup_Oidem,axiom,
% 198.84/199.10 ! [V_a,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf__min,axiom,
% 198.84/199.10 ! [T_b] :
% 198.84/199.10 ( ( class_Lattices_Osemilattice__inf(T_b)
% 198.84/199.10 & class_Orderings_Olinorder(T_b) )
% 198.84/199.10 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Int__assoc,axiom,
% 198.84/199.10 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Int__left__commute,axiom,
% 198.84/199.10 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Int__left__absorb,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Int__commute,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Int__absorb,axiom,
% 198.84/199.10 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf1D2,axiom,
% 198.84/199.10 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 198.84/199.10 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 198.84/199.10 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf1D1,axiom,
% 198.84/199.10 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 198.84/199.10 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 198.84/199.10 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Inf__fin_Oidem,axiom,
% 198.84/199.10 ! [V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Olattice(T_a)
% 198.84/199.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Min_Oidem,axiom,
% 198.84/199.10 ! [V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Max_Oidem,axiom,
% 198.84/199.10 ! [V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Odistrib__inf__le,axiom,
% 198.84/199.10 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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)))) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Odistrib__sup__le,axiom,
% 198.84/199.10 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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)))) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Union__Int__subset,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)))) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf__sup__ord_I1_J,axiom,
% 198.84/199.10 ! [V_y,V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Olattice(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf__le1,axiom,
% 198.84/199.10 ! [V_y,V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Osemilattice__inf(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf__sup__ord_I2_J,axiom,
% 198.84/199.10 ! [V_y,V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Olattice(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf__le2,axiom,
% 198.84/199.10 ! [V_y,V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Osemilattice__inf(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_le__iff__inf,axiom,
% 198.84/199.10 ! [V_y_2,V_x_2,T_b] :
% 198.84/199.10 ( class_Lattices_Osemilattice__inf(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 198.84/199.10 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_le__inf__iff,axiom,
% 198.84/199.10 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 198.84/199.10 ( class_Lattices_Osemilattice__inf(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_y_2),V_z_2)))
% 198.84/199.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 198.84/199.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_le__infI1,axiom,
% 198.84/199.10 ! [V_b,V_x,V_a,T_a] :
% 198.84/199.10 ( class_Lattices_Osemilattice__inf(T_a)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 198.84/199.10 => 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)) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_le__infI2,axiom,
% 198.84/199.10 ! [V_a,V_x,V_b,T_a] :
% 198.84/199.10 ( class_Lattices_Osemilattice__inf(T_a)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 198.84/199.10 => 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)) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf__absorb1,axiom,
% 198.84/199.10 ! [V_y,V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Osemilattice__inf(T_a)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 198.84/199.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf__absorb2,axiom,
% 198.84/199.10 ! [V_x,V_y,T_a] :
% 198.84/199.10 ( class_Lattices_Osemilattice__inf(T_a)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 198.84/199.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_le__infI,axiom,
% 198.84/199.10 ! [V_b,V_a,V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Osemilattice__inf(T_a)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 198.84/199.10 => 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))) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf__greatest,axiom,
% 198.84/199.10 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Osemilattice__inf(T_a)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 198.84/199.10 => 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))) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf__mono,axiom,
% 198.84/199.10 ! [V_d,V_b,V_c,V_a,T_a] :
% 198.84/199.10 ( class_Lattices_Osemilattice__inf(T_a)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 198.84/199.10 => 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))) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_le__infE,axiom,
% 198.84/199.10 ! [V_b,V_a,V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Osemilattice__inf(T_a)
% 198.84/199.10 => ( 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)))
% 198.84/199.10 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 198.84/199.10 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_le__max__iff__disj,axiom,
% 198.84/199.10 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)))
% 198.84/199.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2))
% 198.84/199.10 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_le__maxI1,axiom,
% 198.84/199.10 ! [V_y,V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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))) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_le__maxI2,axiom,
% 198.84/199.10 ! [V_x,V_y,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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))) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Ole__iff__sup,axiom,
% 198.84/199.10 ! [V_y_2,V_x_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 198.84/199.10 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Ole__sup__iff,axiom,
% 198.84/199.10 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2))
% 198.84/199.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 198.84/199.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Ole__supI1,axiom,
% 198.84/199.10 ! [V_b,V_a,V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 198.84/199.10 => 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))) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Ole__supI2,axiom,
% 198.84/199.10 ! [V_a,V_b,V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 198.84/199.10 => 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))) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Osup__absorb2,axiom,
% 198.84/199.10 ! [V_y,V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 198.84/199.10 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Osup__absorb1,axiom,
% 198.84/199.10 ! [V_x,V_y,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 198.84/199.10 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Ole__supI,axiom,
% 198.84/199.10 ! [V_b,V_x,V_a,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 198.84/199.10 => 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)) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Osup__least,axiom,
% 198.84/199.10 ! [V_z,V_x,V_y,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 198.84/199.10 => 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)) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Osup__mono,axiom,
% 198.84/199.10 ! [V_d,V_b,V_c,V_a,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 198.84/199.10 => 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))) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Ole__supE,axiom,
% 198.84/199.10 ! [V_x,V_b,V_a,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => ( 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))
% 198.84/199.10 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 198.84/199.10 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__le__iff__disj,axiom,
% 198.84/199.10 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2))
% 198.84/199.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 198.84/199.10 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Oinf__le1,axiom,
% 198.84/199.10 ! [V_y,V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Oinf__le2,axiom,
% 198.84/199.10 ! [V_y,V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Ole__iff__inf,axiom,
% 198.84/199.10 ! [V_y_2,V_x_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 198.84/199.10 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Ole__inf__iff,axiom,
% 198.84/199.10 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_y_2),V_z_2)))
% 198.84/199.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 198.84/199.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Ole__infI1,axiom,
% 198.84/199.10 ! [V_b,V_x,V_a,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 198.84/199.10 => 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)) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Ole__infI2,axiom,
% 198.84/199.10 ! [V_a,V_x,V_b,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 198.84/199.10 => 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)) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Oinf__absorb1,axiom,
% 198.84/199.10 ! [V_y,V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 198.84/199.10 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Oinf__absorb2,axiom,
% 198.84/199.10 ! [V_x,V_y,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 198.84/199.10 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Ole__infI,axiom,
% 198.84/199.10 ! [V_b,V_a,V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 198.84/199.10 => 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))) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Oinf__greatest,axiom,
% 198.84/199.10 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 198.84/199.10 => 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))) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Oinf__mono,axiom,
% 198.84/199.10 ! [V_d,V_b,V_c,V_a,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 198.84/199.10 => 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))) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Ole__infE,axiom,
% 198.84/199.10 ! [V_b,V_a,V_x,T_a] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_a)
% 198.84/199.10 => ( 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)))
% 198.84/199.10 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 198.84/199.10 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf__bot__right,axiom,
% 198.84/199.10 ! [V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Obounded__lattice__bot(T_a)
% 198.84/199.10 => 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) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf__bot__left,axiom,
% 198.84/199.10 ! [V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Obounded__lattice__bot(T_a)
% 198.84/199.10 => 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) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf__sup__absorb,axiom,
% 198.84/199.10 ! [V_y,V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Olattice(T_a)
% 198.84/199.10 => 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 ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_sup__inf__absorb,axiom,
% 198.84/199.10 ! [V_y,V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Olattice(T_a)
% 198.84/199.10 => 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 ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf__sup__distrib1,axiom,
% 198.84/199.10 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Odistrib__lattice(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_sup__inf__distrib1,axiom,
% 198.84/199.10 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Odistrib__lattice(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf__sup__distrib2,axiom,
% 198.84/199.10 ! [V_x,V_z,V_y,T_a] :
% 198.84/199.10 ( class_Lattices_Odistrib__lattice(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_sup__inf__distrib2,axiom,
% 198.84/199.10 ! [V_x,V_z,V_y,T_a] :
% 198.84/199.10 ( class_Lattices_Odistrib__lattice(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_max__diff__distrib__left,axiom,
% 198.84/199.10 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.10 ( class_Groups_Oordered__ab__group__add(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__diff__distrib__left,axiom,
% 198.84/199.10 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.10 ( class_Groups_Oordered__ab__group__add(T_a)
% 198.84/199.10 => 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)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_sup__max,axiom,
% 198.84/199.10 ! [T_b] :
% 198.84/199.10 ( ( class_Lattices_Osemilattice__sup(T_b)
% 198.84/199.10 & class_Orderings_Olinorder(T_b) )
% 198.84/199.10 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_IntD2,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 198.84/199.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 198.84/199.10 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_IntD1,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 198.84/199.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 198.84/199.10 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Int__iff,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 198.84/199.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 198.84/199.10 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 198.84/199.10 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_disjoint__iff__not__equal,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.10 ( 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))
% 198.84/199.10 <=> ! [B_x] :
% 198.84/199.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.84/199.10 => ! [B_xa] :
% 198.84/199.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2))
% 198.84/199.10 => B_x != B_xa ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Int__empty__right,axiom,
% 198.84/199.10 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Int__empty__left,axiom,
% 198.84/199.10 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_insert__inter__insert,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Int__lower1,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Int__lower2,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2)) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Int__absorb2,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.84/199.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Int__absorb1,axiom,
% 198.84/199.10 ! [V_A_2,V_B_2,T_b] :
% 198.84/199.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 198.84/199.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Int__greatest,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,V_C_2,T_b] :
% 198.84/199.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2))
% 198.84/199.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Int__mono,axiom,
% 198.84/199.10 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 198.84/199.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 198.84/199.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Un__Int__crazy,axiom,
% 198.84/199.10 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Un__Int__distrib2,axiom,
% 198.84/199.10 ! [V_A_2,V_C_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Int__Un__distrib2,axiom,
% 198.84/199.10 ! [V_A_2,V_C_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Un__Int__distrib,axiom,
% 198.84/199.10 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Int__Un__distrib,axiom,
% 198.84/199.10 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Diff__Int2,axiom,
% 198.84/199.10 ! [V_B_2,V_C_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),V_B_2) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Diff__Int__distrib2,axiom,
% 198.84/199.10 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Int__Diff,axiom,
% 198.84/199.10 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Diff__Int__distrib,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,V_C_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_fun__left__comm__idem__inf,axiom,
% 198.84/199.10 ! [T_b] :
% 198.84/199.10 ( class_Lattices_Osemilattice__inf(T_b)
% 198.84/199.10 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_empty__fold__graphE,axiom,
% 198.84/199.10 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 198.84/199.10 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2))
% 198.84/199.10 => V_x_2 = V_z_2 ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_fold__graph_OemptyI,axiom,
% 198.84/199.10 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 198.84/199.10 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_fold__graph__imp__finite,axiom,
% 198.84/199.10 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 198.84/199.10 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 198.84/199.10 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 198.84/199.10 ! [T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 198.84/199.10 ! [T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 198.84/199.10 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 198.84/199.10 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 198.84/199.10 => V_y_2 = V_x_2 ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_distrib__sup__le,axiom,
% 198.84/199.10 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Olattice(T_a)
% 198.84/199.10 => 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)))) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_distrib__inf__le,axiom,
% 198.84/199.10 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.10 ( class_Lattices_Olattice(T_a)
% 198.84/199.10 => 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)))) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Max_Ounion__inter,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.10 => ( 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))
% 198.84/199.10 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Max_Ounion__disjoint,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => ( 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))
% 198.84/199.10 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Min_Ounion__inter,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.10 => ( 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))
% 198.84/199.10 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Min_Ounion__disjoint,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => ( 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))
% 198.84/199.10 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Int__insert__right,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 198.84/199.10 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.84/199.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 198.84/199.10 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.84/199.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Int__insert__left,axiom,
% 198.84/199.10 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 198.84/199.10 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 198.84/199.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) )
% 198.84/199.10 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 198.84/199.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Int__insert__right__if0,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 198.84/199.10 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.84/199.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Int__insert__left__if0,axiom,
% 198.84/199.10 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 198.84/199.10 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 198.84/199.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Int__insert__right__if1,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 198.84/199.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.84/199.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Int__insert__left__if1,axiom,
% 198.84/199.10 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 198.84/199.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 198.84/199.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_image__Int__subset,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)))) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Diff__disjoint,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Diff__triv,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.10 ( 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))
% 198.84/199.10 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Un__Int__assoc__eq,axiom,
% 198.84/199.10 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 198.84/199.10 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 198.84/199.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Un__Diff__Int,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = V_A_2 ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Diff__Un,axiom,
% 198.84/199.10 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Diff__Int,axiom,
% 198.84/199.10 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Union__disjoint,axiom,
% 198.84/199.10 ! [V_A_2,V_C_2,T_b] :
% 198.84/199.10 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 <=> ! [B_x] :
% 198.84/199.10 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2))
% 198.84/199.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_x),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_fold__graph_OinsertI,axiom,
% 198.84/199.10 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 198.84/199.10 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 198.84/199.10 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_setsum__diff__nat,axiom,
% 198.84/199.10 ! [V_f_2,V_A_2,V_B_2,T_b] :
% 198.84/199.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 198.84/199.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2)) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 198.84/199.10 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 198.84/199.10 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 198.84/199.10 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_fold__inf__insert,axiom,
% 198.84/199.10 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Lattices_Osemilattice__inf(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),V_A_2)) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_inf__Sup__absorb,axiom,
% 198.84/199.10 ! [V_a_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Lattices_Olattice(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.84/199.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = V_a_2 ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Ofold__sup__insert,axiom,
% 198.84/199.10 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),V_A_2)) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Ofold__inf__insert,axiom,
% 198.84/199.10 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Max_Oin__idem,axiom,
% 198.84/199.10 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.10 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Min_Oin__idem,axiom,
% 198.84/199.10 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.10 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 198.84/199.10 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 198.84/199.10 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_setsum__diff1__nat,axiom,
% 198.84/199.10 ! [V_f_2,V_A_2,V_a_2,T_b] :
% 198.84/199.10 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.84/199.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 198.84/199.10 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.84/199.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_setsum__diff,axiom,
% 198.84/199.10 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 198.84/199.10 ( class_Groups_Oab__group__add(T_c)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 198.84/199.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2)) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_fold__inf__le__inf,axiom,
% 198.84/199.10 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Lattices_Osemilattice__inf(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.84/199.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_b_2))) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 198.84/199.10 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.84/199.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),V_A_2))) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 198.84/199.10 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.84/199.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),V_b_2))) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Max__insert,axiom,
% 198.84/199.10 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Min__insert,axiom,
% 198.84/199.10 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Max_Osubset__idem,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 198.84/199.10 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Min_Osubset__idem,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 198.84/199.10 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Max__Un,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Min__Un,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 198.84/199.10 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 198.84/199.10 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2))) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 198.84/199.10 ! [V_a_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 198.84/199.10 ! [V_a_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 198.84/199.10 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 198.84/199.10 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 198.84/199.10 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_folding__one_Ounion__disjoint,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 198.84/199.10 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => ( 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))
% 198.84/199.10 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_folding__one_Ounion__inter,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 198.84/199.10 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.10 => ( 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))
% 198.84/199.10 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Diff1__fold__graph,axiom,
% 198.84/199.10 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 198.84/199.10 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_y_2))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.10 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Max_Oinsert,axiom,
% 198.84/199.10 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Min_Oinsert,axiom,
% 198.84/199.10 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Max_Oinsert__remove,axiom,
% 198.84/199.10 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 198.84/199.10 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Min_Oinsert__remove,axiom,
% 198.84/199.10 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 198.84/199.10 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Max_Oeq__fold_H,axiom,
% 198.84/199.10 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.10 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Min_Oeq__fold_H,axiom,
% 198.84/199.10 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.10 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_max__ord__max,axiom,
% 198.84/199.10 ! [T_b] :
% 198.84/199.10 ( class_Orderings_Oord(T_b)
% 198.84/199.10 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__ord__min,axiom,
% 198.84/199.10 ! [T_b] :
% 198.84/199.10 ( class_Orderings_Oord(T_b)
% 198.84/199.10 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 198.84/199.10 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 198.84/199.10 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.84/199.10 => ? [B_y_H] :
% 198.84/199.10 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H)
% 198.84/199.10 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),B_y_H)) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Max_Oclosed,axiom,
% 198.84/199.10 ! [V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 198.84/199.10 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Min_Oclosed,axiom,
% 198.84/199.10 ! [V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 198.84/199.10 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Inf__fin_Oremove,axiom,
% 198.84/199.10 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Lattices_Olattice(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.10 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 )
% 198.84/199.10 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_insert__partition,axiom,
% 198.84/199.10 ! [V_F_2,V_x_2,T_b] :
% 198.84/199.10 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))
% 198.84/199.10 => ( ! [B_x] :
% 198.84/199.10 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)))
% 198.84/199.10 => ! [B_xa] :
% 198.84/199.10 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_xa),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)))
% 198.84/199.10 => ( B_x != B_xa
% 198.84/199.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_x),B_xa) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 198.84/199.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_x_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_F_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Powp__mono,axiom,
% 198.84/199.10 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.84/199.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),c_Predicate_OPowp(T_b,V_A_2)),c_Predicate_OPowp(T_b,V_B_2))) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 198.84/199.10 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.10 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 )
% 198.84/199.10 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 198.84/199.10 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.10 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 )
% 198.84/199.10 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.10 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_Inf__fin_Osingleton,axiom,
% 198.84/199.10 ! [V_x_2,T_b] :
% 198.84/199.10 ( class_Lattices_Olattice(T_b)
% 198.84/199.10 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 198.84/199.10
% 198.84/199.10 fof(fact_min__max_OInf__le__Sup,axiom,
% 198.84/199.10 ! [V_A_2,T_b] :
% 198.84/199.10 ( class_Orderings_Olinorder(T_b)
% 198.84/199.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2))) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 198.84/199.11 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.11 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 198.84/199.11 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.11 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 198.84/199.11 ! [V_x_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 198.84/199.11 ! [V_x_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_sup__Inf__absorb,axiom,
% 198.84/199.11 ! [V_a_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Lattices_Olattice(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.84/199.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = V_a_2 ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_Inf__fin_Oin__idem,axiom,
% 198.84/199.11 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Lattices_Olattice(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 198.84/199.11 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 198.84/199.11 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 198.84/199.11 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 198.84/199.11 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 198.84/199.11 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 198.84/199.11 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 198.84/199.11 ! [V_a_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.84/199.11 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = V_a_2 ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 198.84/199.11 ! [V_a_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.84/199.11 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = V_a_2 ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 198.84/199.11 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.11 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 198.84/199.11 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.11 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 198.84/199.11 ! [V_a_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 198.84/199.11 ! [V_a_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 198.84/199.11 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Lattices_Olattice(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_Inf__fin_Osubset__idem,axiom,
% 198.84/199.11 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Lattices_Olattice(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 198.84/199.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_Inf__fin_Ounion__idem,axiom,
% 198.84/199.11 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Lattices_Olattice(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.11 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_Inf__le__Sup,axiom,
% 198.84/199.11 ! [V_A_2,T_b] :
% 198.84/199.11 ( class_Lattices_Olattice(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2))) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 198.84/199.11 ! [V_a_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Lattices_Olattice(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_a_2),V_A_2) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 198.84/199.11 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 198.84/199.11 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 198.84/199.11 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 198.84/199.11 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 198.84/199.11 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 198.84/199.11 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 198.84/199.11 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.11 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => ( 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))
% 198.84/199.11 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 198.84/199.11 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.11 => ( 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))
% 198.84/199.11 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 198.84/199.11 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.11 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => ( 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))
% 198.84/199.11 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 198.84/199.11 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.11 => ( 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))
% 198.84/199.11 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 198.84/199.11 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.11 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 198.84/199.11 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.11 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_Inf__fin_Oinsert,axiom,
% 198.84/199.11 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Lattices_Olattice(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 198.84/199.11 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Lattices_Olattice(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 198.84/199.11 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 198.84/199.11 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Lattices_Olattice(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.11 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => ( 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))
% 198.84/199.11 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_Inf__fin_Ounion__inter,axiom,
% 198.84/199.11 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Lattices_Olattice(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.11 => ( 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))
% 198.84/199.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 198.84/199.11 ! [V_x_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Lattices_Olattice(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.11 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_x_2),V_A_2) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 198.84/199.11 ! [V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 198.84/199.11 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),V_A_2)) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 198.84/199.11 ! [V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 198.84/199.11 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),V_A_2)) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_Inf__fin_Oclosed,axiom,
% 198.84/199.11 ! [V_A_2,T_b] :
% 198.84/199.11 ( class_Lattices_Olattice(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 198.84/199.11 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 198.84/199.11 ! [V_N_2,V_h_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 198.84/199.11 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => hAPP(V_h_2,c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_N_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 198.84/199.11 ! [V_N_2,V_h_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 198.84/199.11 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => hAPP(V_h_2,c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_N_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_Max_Ohom__commute,axiom,
% 198.84/199.11 ! [V_N_2,V_h_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 198.84/199.11 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_Min_Ohom__commute,axiom,
% 198.84/199.11 ! [V_N_2,V_h_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 198.84/199.11 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_Inf__fin_Ohom__commute,axiom,
% 198.84/199.11 ! [V_N_2,V_h_2,T_b] :
% 198.84/199.11 ( class_Lattices_Olattice(T_b)
% 198.84/199.11 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 198.84/199.11 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OInf__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_setsum__diff1_H,axiom,
% 198.84/199.11 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 198.84/199.11 ( class_Groups_Ocomm__monoid__add(T_c)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.84/199.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_setsum_Oremove,axiom,
% 198.84/199.11 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 198.84/199.11 ( class_Groups_Ocomm__monoid__add(T_c)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_add__right__imp__eq,axiom,
% 198.84/199.11 ! [V_c,V_a,V_b,T_a] :
% 198.84/199.11 ( class_Groups_Ocancel__semigroup__add(T_a)
% 198.84/199.11 => ( 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)
% 198.84/199.11 => V_b = V_c ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_add__imp__eq,axiom,
% 198.84/199.11 ! [V_c,V_b,V_a,T_a] :
% 198.84/199.11 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 198.84/199.11 => ( 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)
% 198.84/199.11 => V_b = V_c ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_add__left__imp__eq,axiom,
% 198.84/199.11 ! [V_c,V_b,V_a,T_a] :
% 198.84/199.11 ( class_Groups_Ocancel__semigroup__add(T_a)
% 198.84/199.11 => ( 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)
% 198.84/199.11 => V_b = V_c ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_add__right__cancel,axiom,
% 198.84/199.11 ! [V_c_2,V_a_2,V_b_2,T_b] :
% 198.84/199.11 ( class_Groups_Ocancel__semigroup__add(T_b)
% 198.84/199.11 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)
% 198.84/199.11 <=> V_b_2 = V_c_2 ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_add__left__cancel,axiom,
% 198.84/199.11 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 198.84/199.11 ( class_Groups_Ocancel__semigroup__add(T_b)
% 198.84/199.11 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)
% 198.84/199.11 <=> V_b_2 = V_c_2 ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 198.84/199.11 ! [V_c,V_b,V_a,T_a] :
% 198.84/199.11 ( class_Groups_Oab__semigroup__add(T_a)
% 198.84/199.11 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_add__le__cancel__right,axiom,
% 198.84/199.11 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 198.84/199.11 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_c_2)))
% 198.84/199.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_add__le__cancel__left,axiom,
% 198.84/199.11 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 198.84/199.11 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_b_2)))
% 198.84/199.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_add__right__mono,axiom,
% 198.84/199.11 ! [V_c,V_b,V_a,T_a] :
% 198.84/199.11 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 198.84/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 198.84/199.11 => 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))) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_add__left__mono,axiom,
% 198.84/199.11 ! [V_c,V_b,V_a,T_a] :
% 198.84/199.11 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 198.84/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 198.84/199.11 => 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))) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_add__mono,axiom,
% 198.84/199.11 ! [V_d,V_c,V_b,V_a,T_a] :
% 198.84/199.11 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 198.84/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 198.84/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 198.84/199.11 => 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))) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_add__le__imp__le__right,axiom,
% 198.84/199.11 ! [V_b,V_c,V_a,T_a] :
% 198.84/199.11 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 198.84/199.11 => ( 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)))
% 198.84/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_add__le__imp__le__left,axiom,
% 198.84/199.11 ! [V_b,V_a,V_c,T_a] :
% 198.84/199.11 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 198.84/199.11 => ( 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)))
% 198.84/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_diff__add__cancel,axiom,
% 198.84/199.11 ! [V_b,V_a,T_a] :
% 198.84/199.11 ( class_Groups_Ogroup__add(T_a)
% 198.84/199.11 => 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 ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_add__diff__cancel,axiom,
% 198.84/199.11 ! [V_b,V_a,T_a] :
% 198.84/199.11 ( class_Groups_Ogroup__add(T_a)
% 198.84/199.11 => 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 ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__add__distrib__left,axiom,
% 198.84/199.11 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.11 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 198.84/199.11 => 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)) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_max__add__distrib__left,axiom,
% 198.84/199.11 ! [V_z,V_y,V_x,T_a] :
% 198.84/199.11 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 198.84/199.11 => 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)) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_setsum__insert,axiom,
% 198.84/199.11 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] :
% 198.84/199.11 ( class_Groups_Ocomm__monoid__add(T_c)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 198.84/199.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2))
% 198.84/199.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_F_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_F_2)) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_setsum_Oinsert,axiom,
% 198.84/199.11 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 198.84/199.11 ( class_Groups_Ocomm__monoid__add(T_c)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_setsum__Un__Int,axiom,
% 198.84/199.11 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 198.84/199.11 ( class_Groups_Ocomm__monoid__add(T_c)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.11 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_setsum_Oinsert__remove,axiom,
% 198.84/199.11 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 198.84/199.11 ( class_Groups_Ocomm__monoid__add(T_c)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_setsum__Un__disjoint,axiom,
% 198.84/199.11 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 198.84/199.11 ( class_Groups_Ocomm__monoid__add(T_c)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.11 => ( 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))
% 198.84/199.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_setsum__Un,axiom,
% 198.84/199.11 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 198.84/199.11 ( class_Groups_Oab__group__add(T_c)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_setsum__Un__nat,axiom,
% 198.84/199.11 ! [V_f_2,V_B_2,V_A_2,T_b] :
% 198.84/199.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_insert__fold1SetE,axiom,
% 198.84/199.11 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] :
% 198.84/199.11 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2)),V_x_2))
% 198.84/199.11 => ~ ! [B_a,B_A] :
% 198.84/199.11 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2))
% 198.84/199.11 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_fold1Set_Oequations,axiom,
% 198.84/199.11 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] :
% 198.84/199.11 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2)),V_a3_2))
% 198.84/199.11 <=> ? [B_a,B_A] :
% 198.84/199.11 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 198.84/199.11 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2))
% 198.84/199.11 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_fold1__antimono,axiom,
% 198.84/199.11 ! [V_B_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.84/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.84/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_B_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2))) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 198.84/199.11 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 198.84/199.11 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 198.84/199.11 => ( ! [B_x] :
% 198.84/199.11 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 198.84/199.11 => hAPP(V_g_2,B_x) = V_z_2 )
% 198.84/199.11 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 198.84/199.11 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 198.84/199.11 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_v_2))
% 198.84/199.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.84/199.11 => ~ ! [B_y] :
% 198.84/199.11 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 198.84/199.11 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_fold__graph__permute__diff,axiom,
% 198.84/199.11 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] :
% 198.84/199.11 ( class_Groups_Oab__semigroup__mult(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_b_2,V_A_2),V_x_2))
% 198.84/199.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.84/199.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 198.84/199.11 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_a_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_x_2)) ) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 198.84/199.11 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( ! [B_x] :
% 198.84/199.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.84/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 198.84/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_c_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_b_2),V_c_2))) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 198.84/199.11 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Orderings_Olinorder(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( ! [B_x] :
% 198.84/199.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.84/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 198.84/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_c_2),V_A_2))) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_inf__le__fold__inf,axiom,
% 198.84/199.11 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 198.84/199.11 ( class_Lattices_Osemilattice__inf(T_b)
% 198.84/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.84/199.11 => ( ! [B_x] :
% 198.84/199.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.84/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 198.84/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_c_2),V_A_2))) ) ) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_times_Oidem,axiom,
% 198.84/199.11 ! [V_a,T_a] :
% 198.84/199.11 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 198.84/199.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_mult__idem,axiom,
% 198.84/199.11 ! [V_x,T_a] :
% 198.84/199.11 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 198.84/199.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_mult__left__idem,axiom,
% 198.84/199.11 ! [V_b,V_a,T_a] :
% 198.84/199.11 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 198.84/199.11 => 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) ) ).
% 198.84/199.11
% 198.84/199.11 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 198.98/199.11 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.11 ( class_Groups_Oab__semigroup__mult(T_a)
% 198.98/199.11 => 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)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_fun__left__comm,axiom,
% 198.98/199.11 ! [T_b] :
% 198.98/199.11 ( class_Groups_Oab__semigroup__mult(T_b)
% 198.98/199.11 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_fun__left__comm__idem,axiom,
% 198.98/199.11 ! [T_b] :
% 198.98/199.11 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 198.98/199.11 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_fold1__insert__idem,axiom,
% 198.98/199.11 ! [V_x_2,V_A_2,T_b] :
% 198.98/199.11 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 198.98/199.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_fold1__Un2,axiom,
% 198.98/199.11 ! [V_B_2,V_A_2,T_b] :
% 198.98/199.11 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.98/199.11 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.98/199.11 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_fold1__eq__fold__idem,axiom,
% 198.98/199.11 ! [V_a_2,V_A_2,T_b] :
% 198.98/199.11 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_fold1__insert,axiom,
% 198.98/199.11 ! [V_x_2,V_A_2,T_b] :
% 198.98/199.11 ( class_Groups_Oab__semigroup__mult(T_b)
% 198.98/199.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.98/199.11 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_fold1__Un,axiom,
% 198.98/199.11 ! [V_B_2,V_A_2,T_b] :
% 198.98/199.11 ( class_Groups_Oab__semigroup__mult(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.98/199.11 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.98/199.11 => ( 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))
% 198.98/199.11 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_fold1__eq__fold,axiom,
% 198.98/199.11 ! [V_a_2,V_A_2,T_b] :
% 198.98/199.11 ( class_Groups_Oab__semigroup__mult(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.98/199.11 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_fold1__singleton,axiom,
% 198.98/199.11 ! [V_a_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ).
% 198.98/199.11
% 198.98/199.11 fof(fact_fold1__singleton__def,axiom,
% 198.98/199.11 ! [V_a_2,V_f_2,T_b,V_g_2] :
% 198.98/199.11 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2)
% 198.98/199.11 => hAPP(V_g_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_folding__one_Oeq__fold,axiom,
% 198.98/199.11 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 198.98/199.11 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_fold__graph__insert__swap,axiom,
% 198.98/199.11 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] :
% 198.98/199.11 ( class_Groups_Oab__semigroup__mult(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_b_2,V_A_2),V_y_2))
% 198.98/199.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 198.98/199.11 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2),V_y_2))) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_Sup__fin_OF__eq,axiom,
% 198.98/199.11 ! [V_A_2,T_b] :
% 198.98/199.11 ( class_Lattices_Olattice(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_A_2) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_Inf__fin_OF__eq,axiom,
% 198.98/199.11 ! [V_A_2,T_b] :
% 198.98/199.11 ( class_Lattices_Olattice(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_Min_OF__eq,axiom,
% 198.98/199.11 ! [V_A_2,T_b] :
% 198.98/199.11 ( class_Orderings_Olinorder(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_Max_OF__eq,axiom,
% 198.98/199.11 ! [V_A_2,T_b] :
% 198.98/199.11 ( class_Orderings_Olinorder(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 198.98/199.11 ! [V_A_2,T_b] :
% 198.98/199.11 ( class_Orderings_Olinorder(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 198.98/199.11 ! [V_A_2,T_b] :
% 198.98/199.11 ( class_Orderings_Olinorder(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_fold1__belowI,axiom,
% 198.98/199.11 ! [V_a_2,V_A_2,T_b] :
% 198.98/199.11 ( class_Lattices_Osemilattice__inf(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2)),V_a_2)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_below__fold1__iff,axiom,
% 198.98/199.11 ! [V_x_2,V_A_2,T_b] :
% 198.98/199.11 ( class_Lattices_Osemilattice__inf(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2)))
% 198.98/199.11 <=> ! [B_x] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_min__max_Ofold1__belowI,axiom,
% 198.98/199.11 ! [V_a_2,V_A_2,T_b] :
% 198.98/199.11 ( class_Orderings_Olinorder(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_a_2)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 198.98/199.11 ! [V_x_2,V_A_2,T_b] :
% 198.98/199.11 ( class_Orderings_Olinorder(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)))
% 198.98/199.11 <=> ! [B_x] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_fold1__below__iff,axiom,
% 198.98/199.11 ! [V_x_2,V_A_2,T_b] :
% 198.98/199.11 ( class_Orderings_Olinorder(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2))
% 198.98/199.11 <=> ? [B_x] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.98/199.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_semilattice__big_OF__eq,axiom,
% 198.98/199.11 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 198.98/199.11 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_le__add__iff1,axiom,
% 198.98/199.11 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 198.98/199.11 ( class_Rings_Oordered__ring(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 198.98/199.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_le__add__iff2,axiom,
% 198.98/199.11 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 198.98/199.11 ( class_Rings_Oordered__ring(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 198.98/199.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_eq__add__iff2,axiom,
% 198.98/199.11 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 198.98/199.11 ( class_Rings_Oring(T_b)
% 198.98/199.11 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)
% 198.98/199.11 <=> V_c_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_eq__add__iff1,axiom,
% 198.98/199.11 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 198.98/199.11 ( class_Rings_Oring(T_b)
% 198.98/199.11 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)
% 198.98/199.11 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2) = V_d_2 ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_fold1__in,axiom,
% 198.98/199.11 ! [V_A_2,T_b] :
% 198.98/199.11 ( class_Groups_Oab__semigroup__mult(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.98/199.11 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),V_A_2)) ) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_nat__le__add__iff1,axiom,
% 198.98/199.11 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2)))
% 198.98/199.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)),V_na_2)) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_nat__diff__add__eq1,axiom,
% 198.98/199.11 ! [V_n,V_m,V_u,V_i,V_j] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 198.98/199.11 => 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) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_nat__eq__add__iff1,axiom,
% 198.98/199.11 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 198.98/199.11 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2)
% 198.98/199.11 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2) = V_na_2 ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_left__add__mult__distrib,axiom,
% 198.98/199.11 ! [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) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_comm__semiring__class_Odistrib,axiom,
% 198.98/199.11 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.11 ( class_Rings_Ocomm__semiring(T_a)
% 198.98/199.11 => 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)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_combine__common__factor,axiom,
% 198.98/199.11 ! [V_c,V_b,V_e,V_a,T_a] :
% 198.98/199.11 ( class_Rings_Osemiring(T_a)
% 198.98/199.11 => 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) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_nat__eq__add__iff2,axiom,
% 198.98/199.11 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 198.98/199.11 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2)
% 198.98/199.11 <=> V_m_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_na_2) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_nat__diff__add__eq2,axiom,
% 198.98/199.11 ! [V_n,V_m,V_u,V_j,V_i] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 198.98/199.11 => 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)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_nat__le__add__iff2,axiom,
% 198.98/199.11 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2)))
% 198.98/199.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_na_2))) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_diff__add__assoc2,axiom,
% 198.98/199.11 ! [V_i,V_j,V_k] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 198.98/199.11 => 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) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_add__diff__assoc2,axiom,
% 198.98/199.11 ! [V_i,V_j,V_k] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 198.98/199.11 => 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) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_diff__add__assoc,axiom,
% 198.98/199.11 ! [V_i,V_j,V_k] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 198.98/199.11 => 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)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_le__imp__diff__is__add,axiom,
% 198.98/199.11 ! [V_k_2,V_j_2,V_i_2] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 198.98/199.11 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 198.98/199.11 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_le__add__diff__inverse2,axiom,
% 198.98/199.11 ! [V_m,V_n] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 198.98/199.11 => 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 ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_le__diff__conv2,axiom,
% 198.98/199.11 ! [V_i_2,V_j_2,V_k_2] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 198.98/199.11 => ( 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)))
% 198.98/199.11 <=> 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)) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_add__diff__assoc,axiom,
% 198.98/199.11 ! [V_i,V_j,V_k] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 198.98/199.11 => 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) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_le__add__diff__inverse,axiom,
% 198.98/199.11 ! [V_m,V_n] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 198.98/199.11 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = V_m ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_le__add__diff,axiom,
% 198.98/199.11 ! [V_m,V_n,V_k] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 198.98/199.11 => 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))) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_nat__add__commute,axiom,
% 198.98/199.11 ! [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) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_nat__add__left__commute,axiom,
% 198.98/199.11 ! [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)) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_nat__add__assoc,axiom,
% 198.98/199.11 ! [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)) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_nat__add__left__cancel,axiom,
% 198.98/199.11 ! [V_na_2,V_m_2,V_k_2] :
% 198.98/199.11 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_na_2)
% 198.98/199.11 <=> V_m_2 = V_na_2 ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_nat__add__right__cancel,axiom,
% 198.98/199.11 ! [V_na_2,V_k_2,V_m_2] :
% 198.98/199.11 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_k_2)
% 198.98/199.11 <=> V_m_2 = V_na_2 ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_le__refl,axiom,
% 198.98/199.11 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_nat__le__linear,axiom,
% 198.98/199.11 ! [V_n,V_m] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 198.98/199.11 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_eq__imp__le,axiom,
% 198.98/199.11 ! [V_n,V_m] :
% 198.98/199.11 ( V_m = V_n
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_le__trans,axiom,
% 198.98/199.11 ! [V_k,V_j,V_i] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_le__antisym,axiom,
% 198.98/199.11 ! [V_n,V_m] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 198.98/199.11 => V_m = V_n ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_min__diff,axiom,
% 198.98/199.11 ! [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) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_diff__commute,axiom,
% 198.98/199.11 ! [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) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_nat__mult__commute,axiom,
% 198.98/199.11 ! [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) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_nat__mult__assoc,axiom,
% 198.98/199.11 ! [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)) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_add__leE,axiom,
% 198.98/199.11 ! [V_n,V_k,V_m] :
% 198.98/199.11 ( 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))
% 198.98/199.11 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 198.98/199.11 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_add__leD1,axiom,
% 198.98/199.11 ! [V_n,V_k,V_m] :
% 198.98/199.11 ( 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))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_add__leD2,axiom,
% 198.98/199.11 ! [V_n,V_k,V_m] :
% 198.98/199.11 ( 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))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_add__le__mono,axiom,
% 198.98/199.11 ! [V_l,V_k,V_j,V_i] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 198.98/199.11 => 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))) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_add__le__mono1,axiom,
% 198.98/199.11 ! [V_k,V_j,V_i] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 198.98/199.11 => 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))) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_trans__le__add2,axiom,
% 198.98/199.11 ! [V_m,V_j,V_i] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 198.98/199.11 => 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))) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_trans__le__add1,axiom,
% 198.98/199.11 ! [V_m,V_j,V_i] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 198.98/199.11 => 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))) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_nat__add__left__cancel__le,axiom,
% 198.98/199.11 ! [V_na_2,V_m_2,V_k_2] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_na_2)))
% 198.98/199.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_le__iff__add,axiom,
% 198.98/199.11 ! [V_na_2,V_m_2] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 198.98/199.11 <=> ? [B_k] : V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_le__add1,axiom,
% 198.98/199.11 ! [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))) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_le__add2,axiom,
% 198.98/199.11 ! [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))) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_nat__minus__add__max,axiom,
% 198.98/199.11 ! [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) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_diff__cancel2,axiom,
% 198.98/199.11 ! [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) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_diff__cancel,axiom,
% 198.98/199.11 ! [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) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_diff__diff__left,axiom,
% 198.98/199.11 ! [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)) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_diff__add__inverse,axiom,
% 198.98/199.11 ! [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 ).
% 198.98/199.11
% 198.98/199.11 fof(fact_diff__add__inverse2,axiom,
% 198.98/199.11 ! [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 ).
% 198.98/199.11
% 198.98/199.11 fof(fact_add__mult__distrib2,axiom,
% 198.98/199.11 ! [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)) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_add__mult__distrib,axiom,
% 198.98/199.11 ! [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)) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_diff__le__self,axiom,
% 198.98/199.11 ! [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)) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_diff__le__mono2,axiom,
% 198.98/199.11 ! [V_l,V_n,V_m] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 198.98/199.11 => 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))) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_diff__le__mono,axiom,
% 198.98/199.11 ! [V_l,V_n,V_m] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 198.98/199.11 => 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))) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_diff__diff__cancel,axiom,
% 198.98/199.11 ! [V_n,V_i] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 198.98/199.11 => 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 ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_eq__diff__iff,axiom,
% 198.98/199.11 ! [V_na_2,V_m_2,V_k_2] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2))
% 198.98/199.11 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),V_k_2)
% 198.98/199.11 <=> V_m_2 = V_na_2 ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_Nat_Odiff__diff__eq,axiom,
% 198.98/199.11 ! [V_n,V_m,V_k] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 198.98/199.11 => 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) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_le__diff__iff,axiom,
% 198.98/199.11 ! [V_na_2,V_m_2,V_k_2] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2))
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),V_k_2)))
% 198.98/199.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_mult__le__mono,axiom,
% 198.98/199.11 ! [V_l,V_k,V_j,V_i] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 198.98/199.11 => 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))) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_mult__le__mono2,axiom,
% 198.98/199.11 ! [V_k,V_j,V_i] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j))) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_mult__le__mono1,axiom,
% 198.98/199.11 ! [V_k,V_j,V_i] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 198.98/199.11 => 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))) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_le__cube,axiom,
% 198.98/199.11 ! [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)))) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_le__square,axiom,
% 198.98/199.11 ! [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))) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_diff__mult__distrib,axiom,
% 198.98/199.11 ! [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)) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_diff__mult__distrib2,axiom,
% 198.98/199.11 ! [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)) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_diff__diff__right,axiom,
% 198.98/199.11 ! [V_i,V_j,V_k] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 198.98/199.11 => 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) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_le__diff__conv,axiom,
% 198.98/199.11 ! [V_i_2,V_k_2,V_j_2] :
% 198.98/199.11 ( 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))
% 198.98/199.11 <=> 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))) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_termination__basic__simps_I4_J,axiom,
% 198.98/199.11 ! [V_y,V_z,V_x] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 198.98/199.11 => 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))) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_termination__basic__simps_I3_J,axiom,
% 198.98/199.11 ! [V_z,V_y,V_x] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 198.98/199.11 => 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))) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_crossproduct__eq,axiom,
% 198.98/199.11 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] :
% 198.98/199.11 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 198.98/199.11 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_y_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_z_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_y_2))
% 198.98/199.11 <=> ( V_w_2 = V_x_2
% 198.98/199.11 | V_y_2 = V_z_2 ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 198.98/199.11 ! [V_b,V_m,V_a,T_a] :
% 198.98/199.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.11 => 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) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 198.98/199.11 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.11 => 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)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_crossproduct__noteq,axiom,
% 198.98/199.11 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 198.98/199.11 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 198.98/199.11 => ( ( V_a_2 != V_b_2
% 198.98/199.11 & V_c_2 != V_d_2 )
% 198.98/199.11 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_d_2)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2)) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 198.98/199.11 ! [V_z,V_y,V_x,T_a] :
% 198.98/199.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.11 => 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)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_hom__fold1__commute,axiom,
% 198.98/199.11 ! [V_N_2,V_h_2,T_b] :
% 198.98/199.11 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 198.98/199.11 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_x),B_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 198.98/199.11 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.98/199.11 => hAPP(V_h_2,hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_N_2)) = hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_setprod_Oremove,axiom,
% 198.98/199.11 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 198.98/199.11 ( class_Groups_Ocomm__monoid__mult(T_c)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.98/199.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_sup__nat__def,axiom,
% 198.98/199.11 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_inf__nat__def,axiom,
% 198.98/199.11 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 198.98/199.11 ! [V_c,V_a,T_a] :
% 198.98/199.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.11 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 198.98/199.11 ! [V_d,V_c,V_a,T_a] :
% 198.98/199.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.11 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_d)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 198.98/199.11 ! [V_d,V_c,V_a,T_a] :
% 198.98/199.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.11 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),V_d) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 198.98/199.11 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.11 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 198.98/199.11 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.11 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),V_b) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 198.98/199.11 ! [V_d,V_c,V_b,V_a,T_a] :
% 198.98/199.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.11 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 198.98/199.11 ! [V_b,V_a,T_a] :
% 198.98/199.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 198.98/199.11 ! [V_ry,V_rx,V_lx,T_a] :
% 198.98/199.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ry)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 198.98/199.11 ! [V_ry,V_rx,V_lx,T_a] :
% 198.98/199.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 198.98/199.11 ! [V_rx,V_ly,V_lx,T_a] :
% 198.98/199.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_rx)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 198.98/199.11 ! [V_rx,V_ly,V_lx,T_a] :
% 198.98/199.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 198.98/199.11 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 198.98/199.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 198.98/199.11 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 198.98/199.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 198.98/199.11 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 198.98/199.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_ry)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_setprod_Oinsert,axiom,
% 198.98/199.11 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 198.98/199.11 ( class_Groups_Ocomm__monoid__mult(T_c)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.98/199.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_setprod__insert,axiom,
% 198.98/199.11 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 198.98/199.11 ( class_Groups_Ocomm__monoid__mult(T_c)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.98/199.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_setprod_Ounion__inter,axiom,
% 198.98/199.11 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 198.98/199.11 ( class_Groups_Ocomm__monoid__mult(T_c)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.98/199.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_setprod__Un__Int,axiom,
% 198.98/199.11 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 198.98/199.11 ( class_Groups_Ocomm__monoid__mult(T_c)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.98/199.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_setprod_Oinsert__remove,axiom,
% 198.98/199.11 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 198.98/199.11 ( class_Groups_Ocomm__monoid__mult(T_c)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_setprod__Un__disjoint,axiom,
% 198.98/199.11 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 198.98/199.11 ( class_Groups_Ocomm__monoid__mult(T_c)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.98/199.11 => ( 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))
% 198.98/199.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_setprod_Ounion__disjoint,axiom,
% 198.98/199.11 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 198.98/199.11 ( class_Groups_Ocomm__monoid__mult(T_c)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.98/199.11 => ( 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))
% 198.98/199.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_minus__Min__eq__Max,axiom,
% 198.98/199.11 ! [V_S_2,T_b] :
% 198.98/199.11 ( class_Groups_Olinordered__ab__group__add(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 198.98/199.11 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.98/199.11 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_minus__Max__eq__Min,axiom,
% 198.98/199.11 ! [V_S_2,T_b] :
% 198.98/199.11 ( class_Groups_Olinordered__ab__group__add(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 198.98/199.11 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.98/199.11 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_psubset__insert__iff,axiom,
% 198.98/199.11 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)))
% 198.98/199.11 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 198.98/199.11 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 198.98/199.11 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) )
% 198.98/199.11 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_UnionE,axiom,
% 198.98/199.11 ! [V_C_2,V_A_2,T_b] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 198.98/199.11 => ~ ! [B_X] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X))
% 198.98/199.11 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_finite__induct,axiom,
% 198.98/199.11 ! [V_Pa_2,V_F_2,T_b] :
% 198.98/199.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 198.98/199.11 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 198.98/199.11 => ( ! [B_x,B_F] :
% 198.98/199.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 198.98/199.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F))
% 198.98/199.11 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 198.98/199.11 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) )
% 198.98/199.11 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 198.98/199.11 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.98/199.11 => ( c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_y_2)
% 198.98/199.11 => c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,V_A_2,hAPP(hAPP(V_f_2,V_x_2),V_y_2)) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_card__Diff1__le,axiom,
% 198.98/199.11 ! [V_x_2,V_A_2,T_b] :
% 198.98/199.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_card__Un__disjoint,axiom,
% 198.98/199.11 ! [V_B_2,V_A_2,T_b] :
% 198.98/199.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.98/199.11 => ( 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))
% 198.98/199.11 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_Un__Pow__subset,axiom,
% 198.98/199.11 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2))),hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_ComplI,axiom,
% 198.98/199.11 ! [V_A_2,V_c_2,T_b] :
% 198.98/199.11 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_PowI,axiom,
% 198.98/199.11 ! [V_B_2,V_A_2,T_b] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_linorder__neqE__linordered__idom,axiom,
% 198.98/199.11 ! [V_y,V_x,T_a] :
% 198.98/199.11 ( class_Rings_Olinordered__idom(T_a)
% 198.98/199.11 => ( V_x != V_y
% 198.98/199.11 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_psubset__trans,axiom,
% 198.98/199.11 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_order__less__irrefl,axiom,
% 198.98/199.11 ! [V_x,T_a] :
% 198.98/199.11 ( class_Orderings_Opreorder(T_a)
% 198.98/199.11 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_linorder__neq__iff,axiom,
% 198.98/199.11 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.11 ( class_Orderings_Olinorder(T_b)
% 198.98/199.11 => ( V_x_2 != V_y_2
% 198.98/199.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 198.98/199.11 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_not__less__iff__gr__or__eq,axiom,
% 198.98/199.11 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.11 ( class_Orderings_Olinorder(T_b)
% 198.98/199.11 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 198.98/199.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 198.98/199.11 | V_x_2 = V_y_2 ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_linorder__less__linear,axiom,
% 198.98/199.11 ! [V_y,V_x,T_a] :
% 198.98/199.11 ( class_Orderings_Olinorder(T_a)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 198.98/199.11 | V_x = V_y
% 198.98/199.11 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_linorder__antisym__conv3,axiom,
% 198.98/199.11 ! [V_x_2,V_y_2,T_b] :
% 198.98/199.11 ( class_Orderings_Olinorder(T_b)
% 198.98/199.11 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 198.98/199.11 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 198.98/199.11 <=> V_x_2 = V_y_2 ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_linorder__neqE,axiom,
% 198.98/199.11 ! [V_y,V_x,T_a] :
% 198.98/199.11 ( class_Orderings_Olinorder(T_a)
% 198.98/199.11 => ( V_x != V_y
% 198.98/199.11 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_less__imp__neq,axiom,
% 198.98/199.11 ! [V_y,V_x,T_a] :
% 198.98/199.11 ( class_Orderings_Oorder(T_a)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 198.98/199.11 => V_x != V_y ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_order__less__not__sym,axiom,
% 198.98/199.11 ! [V_y,V_x,T_a] :
% 198.98/199.11 ( class_Orderings_Opreorder(T_a)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 198.98/199.11 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_order__less__imp__not__less,axiom,
% 198.98/199.11 ! [V_y,V_x,T_a] :
% 198.98/199.11 ( class_Orderings_Opreorder(T_a)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 198.98/199.11 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_order__less__imp__not__eq,axiom,
% 198.98/199.11 ! [V_y,V_x,T_a] :
% 198.98/199.11 ( class_Orderings_Oorder(T_a)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 198.98/199.11 => V_x != V_y ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_order__less__imp__not__eq2,axiom,
% 198.98/199.11 ! [V_y,V_x,T_a] :
% 198.98/199.11 ( class_Orderings_Oorder(T_a)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 198.98/199.11 => V_y != V_x ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_order__less__asym_H,axiom,
% 198.98/199.11 ! [V_b,V_a,T_a] :
% 198.98/199.11 ( class_Orderings_Opreorder(T_a)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 198.98/199.11 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_xt1_I9_J,axiom,
% 198.98/199.11 ! [V_a,V_b,T_a] :
% 198.98/199.11 ( class_Orderings_Oorder(T_a)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 198.98/199.11 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_ord__eq__less__trans,axiom,
% 198.98/199.11 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.11 ( class_Orderings_Oord(T_a)
% 198.98/199.11 => ( V_a = V_b
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_xt1_I1_J,axiom,
% 198.98/199.11 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.11 ( class_Orderings_Oorder(T_a)
% 198.98/199.11 => ( V_a = V_b
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_ord__less__eq__trans,axiom,
% 198.98/199.11 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.11 ( class_Orderings_Oord(T_a)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 198.98/199.11 => ( V_b = V_c
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_xt1_I2_J,axiom,
% 198.98/199.11 ! [V_c,V_a,V_b,T_a] :
% 198.98/199.11 ( class_Orderings_Oorder(T_a)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 198.98/199.11 => ( V_b = V_c
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_order__less__trans,axiom,
% 198.98/199.11 ! [V_z,V_y,V_x,T_a] :
% 198.98/199.11 ( class_Orderings_Opreorder(T_a)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_xt1_I10_J,axiom,
% 198.98/199.11 ! [V_z,V_x,V_y,T_a] :
% 198.98/199.11 ( class_Orderings_Oorder(T_a)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_order__less__asym,axiom,
% 198.98/199.11 ! [V_y,V_x,T_a] :
% 198.98/199.11 ( class_Orderings_Opreorder(T_a)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 198.98/199.11 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_linorder__cases,axiom,
% 198.98/199.11 ! [V_y,V_x,T_a] :
% 198.98/199.11 ( class_Orderings_Olinorder(T_a)
% 198.98/199.11 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 198.98/199.11 => ( V_x != V_y
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_double__compl,axiom,
% 198.98/199.11 ! [V_x,T_a] :
% 198.98/199.11 ( class_Lattices_Oboolean__algebra(T_a)
% 198.98/199.11 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_uminus__apply,axiom,
% 198.98/199.11 ! [V_x_2,V_A_2,T_c,T_b] :
% 198.98/199.11 ( class_Groups_Ouminus(T_b)
% 198.98/199.11 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_compl__eq__compl__iff,axiom,
% 198.98/199.11 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.11 ( class_Lattices_Oboolean__algebra(T_b)
% 198.98/199.11 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)
% 198.98/199.11 <=> V_x_2 = V_y_2 ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_minus__minus,axiom,
% 198.98/199.11 ! [V_a,T_a] :
% 198.98/199.11 ( class_Groups_Ogroup__add(T_a)
% 198.98/199.11 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_equation__minus__iff,axiom,
% 198.98/199.11 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.11 ( class_Groups_Ogroup__add(T_b)
% 198.98/199.11 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 198.98/199.11 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_less__minus__iff,axiom,
% 198.98/199.11 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.11 ( class_Groups_Oordered__ab__group__add(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 198.98/199.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_minus__equation__iff,axiom,
% 198.98/199.11 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.11 ( class_Groups_Ogroup__add(T_b)
% 198.98/199.11 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2
% 198.98/199.11 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_minus__less__iff,axiom,
% 198.98/199.11 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.11 ( class_Groups_Oordered__ab__group__add(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 198.98/199.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_neg__equal__iff__equal,axiom,
% 198.98/199.11 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.11 ( class_Groups_Ogroup__add(T_b)
% 198.98/199.11 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 198.98/199.11 <=> V_a_2 = V_b_2 ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_neg__less__iff__less,axiom,
% 198.98/199.11 ! [V_a_2,V_b_2,T_b] :
% 198.98/199.11 ( class_Groups_Oordered__ab__group__add(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 198.98/199.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_le__imp__neg__le,axiom,
% 198.98/199.11 ! [V_b,V_a,T_a] :
% 198.98/199.11 ( class_Groups_Oordered__ab__group__add(T_a)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 198.98/199.11 => 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))) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_neg__le__iff__le,axiom,
% 198.98/199.11 ! [V_a_2,V_b_2,T_b] :
% 198.98/199.11 ( class_Groups_Oordered__ab__group__add(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 198.98/199.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_minus__le__iff,axiom,
% 198.98/199.11 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.11 ( class_Groups_Oordered__ab__group__add(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 198.98/199.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_le__minus__iff,axiom,
% 198.98/199.11 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.11 ( class_Groups_Oordered__ab__group__add(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 198.98/199.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_compl__mono,axiom,
% 198.98/199.11 ! [V_y,V_x,T_a] :
% 198.98/199.11 ( class_Lattices_Oboolean__algebra(T_a)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 198.98/199.11 => 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))) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_compl__le__compl__iff,axiom,
% 198.98/199.11 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.11 ( class_Lattices_Oboolean__algebra(T_b)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)))
% 198.98/199.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_minus__add__distrib,axiom,
% 198.98/199.11 ! [V_b,V_a,T_a] :
% 198.98/199.11 ( class_Groups_Oab__group__add(T_a)
% 198.98/199.11 => 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)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_minus__add,axiom,
% 198.98/199.11 ! [V_b,V_a,T_a] :
% 198.98/199.11 ( class_Groups_Ogroup__add(T_a)
% 198.98/199.11 => 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)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_add__minus__cancel,axiom,
% 198.98/199.11 ! [V_b,V_a,T_a] :
% 198.98/199.11 ( class_Groups_Ogroup__add(T_a)
% 198.98/199.11 => 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 ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_minus__add__cancel,axiom,
% 198.98/199.11 ! [V_b,V_a,T_a] :
% 198.98/199.11 ( class_Groups_Ogroup__add(T_a)
% 198.98/199.11 => 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 ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_minus__mult__right,axiom,
% 198.98/199.11 ! [V_b,V_a,T_a] :
% 198.98/199.11 ( class_Rings_Oring(T_a)
% 198.98/199.11 => 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)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_minus__mult__left,axiom,
% 198.98/199.11 ! [V_b,V_a,T_a] :
% 198.98/199.11 ( class_Rings_Oring(T_a)
% 198.98/199.11 => 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) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_minus__mult__commute,axiom,
% 198.98/199.11 ! [V_b,V_a,T_a] :
% 198.98/199.11 ( class_Rings_Oring(T_a)
% 198.98/199.11 => 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)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_minus__mult__minus,axiom,
% 198.98/199.11 ! [V_b,V_a,T_a] :
% 198.98/199.11 ( class_Rings_Oring(T_a)
% 198.98/199.11 => 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) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_square__eq__iff,axiom,
% 198.98/199.11 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.11 ( class_Rings_Oidom(T_b)
% 198.98/199.11 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_b_2)
% 198.98/199.11 <=> ( V_a_2 = V_b_2
% 198.98/199.11 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_Compl__iff,axiom,
% 198.98/199.11 ! [V_A_2,V_c_2,T_b] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 198.98/199.11 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_ComplD,axiom,
% 198.98/199.11 ! [V_A_2,V_c_2,T_b] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 198.98/199.11 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_ComplE,axiom,
% 198.98/199.11 ! [V_A_2,V_c_2,T_b] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 198.98/199.11 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_minus__diff__eq,axiom,
% 198.98/199.11 ! [V_b,V_a,T_a] :
% 198.98/199.11 ( class_Groups_Oab__group__add(T_a)
% 198.98/199.11 => 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) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 198.98/199.11 ! [V_a2_2,V_a1_2,T_c,T_b] : c_Nitpick_Ofold__graph_H(T_b,T_c,V_a1_2,V_a2_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_a2_2) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 198.98/199.11 ! [V_z_2,V_f_2,T_c,T_b] : c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_z_2) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_less__fun__def,axiom,
% 198.98/199.11 ! [V_g_2,V_f_2,T_b,T_c] :
% 198.98/199.11 ( class_Orderings_Oord(T_c)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 198.98/199.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 198.98/199.11 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_Compl__anti__mono,axiom,
% 198.98/199.11 ! [V_B_2,V_A_2,T_b] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_Compl__subset__Compl__iff,axiom,
% 198.98/199.11 ! [V_B_2,V_A_2,T_b] :
% 198.98/199.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)))
% 198.98/199.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_xt1_I8_J,axiom,
% 198.98/199.11 ! [V_z,V_x,V_y,T_a] :
% 198.98/199.11 ( class_Orderings_Oorder(T_a)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_order__le__less__trans,axiom,
% 198.98/199.11 ! [V_z,V_y,V_x,T_a] :
% 198.98/199.11 ( class_Orderings_Opreorder(T_a)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_xt1_I7_J,axiom,
% 198.98/199.11 ! [V_z,V_x,V_y,T_a] :
% 198.98/199.11 ( class_Orderings_Oorder(T_a)
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 198.98/199.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 198.98/199.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 198.98/199.11
% 198.98/199.11 fof(fact_order__less__le__trans,axiom,
% 198.98/199.11 ! [V_z,V_y,V_x,T_a] :
% 198.98/199.12 ( class_Orderings_Opreorder(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_xt1_I11_J,axiom,
% 198.98/199.12 ! [V_a,V_b,T_a] :
% 198.98/199.12 ( class_Orderings_Oorder(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 198.98/199.12 => ( V_a != V_b
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_order__le__neq__trans,axiom,
% 198.98/199.12 ! [V_b,V_a,T_a] :
% 198.98/199.12 ( class_Orderings_Oorder(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 198.98/199.12 => ( V_a != V_b
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_order__le__imp__less__or__eq,axiom,
% 198.98/199.12 ! [V_y,V_x,T_a] :
% 198.98/199.12 ( class_Orderings_Oorder(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 198.98/199.12 | V_x = V_y ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_linorder__antisym__conv2,axiom,
% 198.98/199.12 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.12 ( class_Orderings_Olinorder(T_b)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 198.98/199.12 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 198.98/199.12 <=> V_x_2 = V_y_2 ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_order__less__imp__le,axiom,
% 198.98/199.12 ! [V_y,V_x,T_a] :
% 198.98/199.12 ( class_Orderings_Opreorder(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_leD,axiom,
% 198.98/199.12 ! [V_x,V_y,T_a] :
% 198.98/199.12 ( class_Orderings_Olinorder(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 198.98/199.12 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_xt1_I12_J,axiom,
% 198.98/199.12 ! [V_b,V_a,T_a] :
% 198.98/199.12 ( class_Orderings_Oorder(T_a)
% 198.98/199.12 => ( V_a != V_b
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_order__neq__le__trans,axiom,
% 198.98/199.12 ! [V_b,V_a,T_a] :
% 198.98/199.12 ( class_Orderings_Oorder(T_a)
% 198.98/199.12 => ( V_a != V_b
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_linorder__antisym__conv1,axiom,
% 198.98/199.12 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.12 ( class_Orderings_Olinorder(T_b)
% 198.98/199.12 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 198.98/199.12 <=> V_x_2 = V_y_2 ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_not__leE,axiom,
% 198.98/199.12 ! [V_x,V_y,T_a] :
% 198.98/199.12 ( class_Orderings_Olinorder(T_a)
% 198.98/199.12 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_leI,axiom,
% 198.98/199.12 ! [V_y,V_x,T_a] :
% 198.98/199.12 ( class_Orderings_Olinorder(T_a)
% 198.98/199.12 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_order__le__less,axiom,
% 198.98/199.12 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.12 ( class_Orderings_Oorder(T_b)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 198.98/199.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 198.98/199.12 | V_x_2 = V_y_2 ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__le__not__le,axiom,
% 198.98/199.12 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.12 ( class_Orderings_Opreorder(T_b)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 198.98/199.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 198.98/199.12 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_order__less__le,axiom,
% 198.98/199.12 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.12 ( class_Orderings_Oorder(T_b)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 198.98/199.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 198.98/199.12 & V_x_2 != V_y_2 ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_linorder__le__less__linear,axiom,
% 198.98/199.12 ! [V_y,V_x,T_a] :
% 198.98/199.12 ( class_Orderings_Olinorder(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 198.98/199.12 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_linorder__not__le,axiom,
% 198.98/199.12 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.12 ( class_Orderings_Olinorder(T_b)
% 198.98/199.12 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 198.98/199.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_linorder__not__less,axiom,
% 198.98/199.12 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.12 ( class_Orderings_Olinorder(T_b)
% 198.98/199.12 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 198.98/199.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_psubsetD,axiom,
% 198.98/199.12 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__less__cancel__right,axiom,
% 198.98/199.12 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 198.98/199.12 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_c_2)))
% 198.98/199.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__less__cancel__left,axiom,
% 198.98/199.12 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 198.98/199.12 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_b_2)))
% 198.98/199.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__strict__right__mono,axiom,
% 198.98/199.12 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.12 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__strict__left__mono,axiom,
% 198.98/199.12 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.12 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__strict__mono,axiom,
% 198.98/199.12 ! [V_d,V_c,V_b,V_a,T_a] :
% 198.98/199.12 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__less__imp__less__right,axiom,
% 198.98/199.12 ! [V_b,V_c,V_a,T_a] :
% 198.98/199.12 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__less__imp__less__left,axiom,
% 198.98/199.12 ! [V_b,V_a,V_c,T_a] :
% 198.98/199.12 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b)))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_not__psubset__empty,axiom,
% 198.98/199.12 ! [V_A_2,T_b] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_diff__eq__diff__less,axiom,
% 198.98/199.12 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 198.98/199.12 ( class_Groups_Oordered__ab__group__add(T_b)
% 198.98/199.12 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 198.98/199.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__supI2,axiom,
% 198.98/199.12 ! [V_a,V_b,V_x,T_a] :
% 198.98/199.12 ( class_Lattices_Osemilattice__sup(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 198.98/199.12 => 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))) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__supI1,axiom,
% 198.98/199.12 ! [V_b,V_a,V_x,T_a] :
% 198.98/199.12 ( class_Lattices_Osemilattice__sup(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 198.98/199.12 => 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))) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__infI1,axiom,
% 198.98/199.12 ! [V_b,V_x,V_a,T_a] :
% 198.98/199.12 ( class_Lattices_Osemilattice__inf(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 198.98/199.12 => 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)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__infI2,axiom,
% 198.98/199.12 ! [V_a,V_x,V_b,T_a] :
% 198.98/199.12 ( class_Lattices_Osemilattice__inf(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 198.98/199.12 => 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)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_subset__psubset__trans,axiom,
% 198.98/199.12 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_psubset__subset__trans,axiom,
% 198.98/199.12 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_psubset__imp__subset,axiom,
% 198.98/199.12 ! [V_B_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_subset__iff__psubset__eq,axiom,
% 198.98/199.12 ! [V_B_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.98/199.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.98/199.12 | V_A_2 = V_B_2 ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_psubset__eq,axiom,
% 198.98/199.12 ! [V_B_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.98/199.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.98/199.12 & V_A_2 != V_B_2 ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_min__less__iff__conj,axiom,
% 198.98/199.12 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 198.98/199.12 ( class_Orderings_Olinorder(T_b)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)))
% 198.98/199.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 198.98/199.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_min__less__iff__disj,axiom,
% 198.98/199.12 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 198.98/199.12 ( class_Orderings_Olinorder(T_b)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2))
% 198.98/199.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 198.98/199.12 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_min__max_Oless__infI1,axiom,
% 198.98/199.12 ! [V_b,V_x,V_a,T_a] :
% 198.98/199.12 ( class_Orderings_Olinorder(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 198.98/199.12 => 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)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_min__max_Oless__infI2,axiom,
% 198.98/199.12 ! [V_a,V_x,V_b,T_a] :
% 198.98/199.12 ( class_Orderings_Olinorder(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 198.98/199.12 => 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)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__max__iff__disj,axiom,
% 198.98/199.12 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 198.98/199.12 ( class_Orderings_Olinorder(T_b)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)))
% 198.98/199.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 198.98/199.12 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_max__less__iff__conj,axiom,
% 198.98/199.12 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 198.98/199.12 ( class_Orderings_Olinorder(T_b)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2))
% 198.98/199.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 198.98/199.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_min__max_Oless__supI1,axiom,
% 198.98/199.12 ! [V_b,V_a,V_x,T_a] :
% 198.98/199.12 ( class_Orderings_Olinorder(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 198.98/199.12 => 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))) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_min__max_Oless__supI2,axiom,
% 198.98/199.12 ! [V_a,V_b,V_x,T_a] :
% 198.98/199.12 ( class_Orderings_Olinorder(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 198.98/199.12 => 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))) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__Sup__iff,axiom,
% 198.98/199.12 ! [V_S_2,V_a_2,T_b] :
% 198.98/199.12 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.98/199.12 & class_Orderings_Olinorder(T_b) )
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2)))
% 198.98/199.12 <=> ? [B_x] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 198.98/199.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_image__Pow__surj,axiom,
% 198.98/199.12 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 198.98/199.12 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2
% 198.98/199.12 => hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2)) = hAPP(c_Set_OPow(T_b),V_B_2) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Pow__top,axiom,
% 198.98/199.12 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_A_2))) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Union__Pow__eq,axiom,
% 198.98/199.12 ! [V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OPow(T_b),V_A_2)) = V_A_2 ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Pow__not__empty,axiom,
% 198.98/199.12 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_diff__def,axiom,
% 198.98/199.12 ! [V_b,V_a,T_a] :
% 198.98/199.12 ( class_Groups_Ogroup__add(T_a)
% 198.98/199.12 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_ab__diff__minus,axiom,
% 198.98/199.12 ! [V_b,V_a,T_a] :
% 198.98/199.12 ( class_Groups_Oab__group__add(T_a)
% 198.98/199.12 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_diff__minus__eq__add,axiom,
% 198.98/199.12 ! [V_b,V_a,T_a] :
% 198.98/199.12 ( class_Groups_Ogroup__add(T_a)
% 198.98/199.12 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 198.98/199.12 ! [V_y,V_x,T_a] :
% 198.98/199.12 ( class_Rings_Ocomm__ring__1(T_a)
% 198.98/199.12 => 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)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_inf__compl__bot,axiom,
% 198.98/199.12 ! [V_x,T_a] :
% 198.98/199.12 ( class_Lattices_Oboolean__algebra(T_a)
% 198.98/199.12 => 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) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_compl__inf__bot,axiom,
% 198.98/199.12 ! [V_x,T_a] :
% 198.98/199.12 ( class_Lattices_Oboolean__algebra(T_a)
% 198.98/199.12 => 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) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_diff__eq,axiom,
% 198.98/199.12 ! [V_y,V_x,T_a] :
% 198.98/199.12 ( class_Lattices_Oboolean__algebra(T_a)
% 198.98/199.12 => 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)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_compl__sup,axiom,
% 198.98/199.12 ! [V_y,V_x,T_a] :
% 198.98/199.12 ( class_Lattices_Oboolean__algebra(T_a)
% 198.98/199.12 => 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)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_compl__inf,axiom,
% 198.98/199.12 ! [V_y,V_x,T_a] :
% 198.98/199.12 ( class_Lattices_Oboolean__algebra(T_a)
% 198.98/199.12 => 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)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_subset__Compl__self__eq,axiom,
% 198.98/199.12 ! [V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 198.98/199.12 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Compl__disjoint2,axiom,
% 198.98/199.12 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Compl__disjoint,axiom,
% 198.98/199.12 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__less__le__mono,axiom,
% 198.98/199.12 ! [V_d,V_c,V_b,V_a,T_a] :
% 198.98/199.12 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__le__less__mono,axiom,
% 198.98/199.12 ! [V_d,V_c,V_b,V_a,T_a] :
% 198.98/199.12 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Compl__Int,axiom,
% 198.98/199.12 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Compl__Un,axiom,
% 198.98/199.12 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_minus__max__eq__min,axiom,
% 198.98/199.12 ! [V_y,V_x,T_a] :
% 198.98/199.12 ( class_Groups_Olinordered__ab__group__add(T_a)
% 198.98/199.12 => 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)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_minus__min__eq__max,axiom,
% 198.98/199.12 ! [V_y,V_x,T_a] :
% 198.98/199.12 ( class_Groups_Olinordered__ab__group__add(T_a)
% 198.98/199.12 => 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)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Compl__Diff__eq,axiom,
% 198.98/199.12 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Diff__eq,axiom,
% 198.98/199.12 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Diff__Compl,axiom,
% 198.98/199.12 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Pow__bottom,axiom,
% 198.98/199.12 ! [V_B_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_Set_OPow(T_b),V_B_2))) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_PowD,axiom,
% 198.98/199.12 ! [V_B_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Pow__iff,axiom,
% 198.98/199.12 ! [V_B_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 198.98/199.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Pow__mono,axiom,
% 198.98/199.12 ! [V_B_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card__insert__le,axiom,
% 198.98/199.12 ! [V_x_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card__seteq,axiom,
% 198.98/199.12 ! [V_A_2,V_B_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 198.98/199.12 => V_A_2 = V_B_2 ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card__mono,axiom,
% 198.98/199.12 ! [V_A_2,V_B_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card__image__le,axiom,
% 198.98/199.12 ! [V_f_2,T_c,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_finite__Pow__iff,axiom,
% 198.98/199.12 ! [V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)))
% 198.98/199.12 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_disjoint__eq__subset__Compl,axiom,
% 198.98/199.12 ! [V_B_2,V_A_2,T_b] :
% 198.98/199.12 ( 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))
% 198.98/199.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_subset__Pow__Union,axiom,
% 198.98/199.12 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__add__iff2,axiom,
% 198.98/199.12 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 198.98/199.12 ( class_Rings_Oordered__ring(T_b)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 198.98/199.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__add__iff1,axiom,
% 198.98/199.12 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 198.98/199.12 ( class_Rings_Oordered__ring(T_b)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 198.98/199.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Pow__insert,axiom,
% 198.98/199.12 ! [V_A_2,V_a_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_Oimage(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oinsert(T_b),V_a_2)),hAPP(c_Set_OPow(T_b),V_A_2))) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Pow__Int__eq,axiom,
% 198.98/199.12 ! [V_B_2,V_A_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card__Un__Int,axiom,
% 198.98/199.12 ! [V_B_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.98/199.12 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card_Ounion__inter,axiom,
% 198.98/199.12 ! [V_B_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.98/199.12 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card__Diff__subset,axiom,
% 198.98/199.12 ! [V_A_2,V_B_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 198.98/199.12 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card__Diff__subset__Int,axiom,
% 198.98/199.12 ! [V_B_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 198.98/199.12 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_diff__card__le__card__Diff,axiom,
% 198.98/199.12 ! [V_A_2,V_B_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_image__Pow__mono,axiom,
% 198.98/199.12 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2))),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_strict__below__fold1__iff,axiom,
% 198.98/199.12 ! [V_x_2,V_A_2,T_b] :
% 198.98/199.12 ( class_Orderings_Olinorder(T_b)
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)))
% 198.98/199.12 <=> ! [B_x] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_fold1__strict__below__iff,axiom,
% 198.98/199.12 ! [V_x_2,V_A_2,T_b] :
% 198.98/199.12 ( class_Orderings_Olinorder(T_b)
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2))
% 198.98/199.12 <=> ? [B_x] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.98/199.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Pow__empty,axiom,
% 198.98/199.12 ! [T_b] : hAPP(c_Set_OPow(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card__Diff__singleton,axiom,
% 198.98/199.12 ! [V_x_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.98/199.12 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card__Diff__singleton__if,axiom,
% 198.98/199.12 ! [V_x_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.98/199.12 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 198.98/199.12 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.98/199.12 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card_Oremove,axiom,
% 198.98/199.12 ! [V_x_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.98/199.12 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 198.98/199.12 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] :
% 198.98/199.12 ( c_Nitpick_Ofold__graph_H(T_b,T_c,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))
% 198.98/199.12 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.98/199.12 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 198.98/199.12 | ? [B_x,B_y] :
% 198.98/199.12 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 198.98/199.12 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2))
% 198.98/199.12 & c_Nitpick_Ofold__graph_H(T_b,T_c,V_a3_2,V_a4_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_a2_2),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),B_y) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card_Oinsert__remove,axiom,
% 198.98/199.12 ! [V_x_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card__Diff__insert,axiom,
% 198.98/199.12 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.98/199.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 198.98/199.12 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card__Diff1__less,axiom,
% 198.98/199.12 ! [V_x_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card__Diff2__less,axiom,
% 198.98/199.12 ! [V_y_2,V_x_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_setsum__strict__mono,axiom,
% 198.98/199.12 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 198.98/199.12 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 198.98/199.12 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) )
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.98/199.12 => ( ! [B_x] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2))) ) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_double__complement,axiom,
% 198.98/199.12 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = V_A_2 ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Compl__eq__Compl__iff,axiom,
% 198.98/199.12 ! [V_B_2,V_A_2,T_b] :
% 198.98/199.12 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)
% 198.98/199.12 <=> V_A_2 = V_B_2 ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__not__refl,axiom,
% 198.98/199.12 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_nat__neq__iff,axiom,
% 198.98/199.12 ! [V_na_2,V_m_2] :
% 198.98/199.12 ( V_m_2 != V_na_2
% 198.98/199.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 198.98/199.12 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_linorder__neqE__nat,axiom,
% 198.98/199.12 ! [V_y,V_x] :
% 198.98/199.12 ( V_x != V_y
% 198.98/199.12 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__irrefl__nat,axiom,
% 198.98/199.12 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__not__refl2,axiom,
% 198.98/199.12 ! [V_m,V_n] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 198.98/199.12 => V_m != V_n ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__not__refl3,axiom,
% 198.98/199.12 ! [V_t,V_s] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 198.98/199.12 => V_s != V_t ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_nat__less__cases,axiom,
% 198.98/199.12 ! [V_Pa_2,V_na_2,V_m_2] :
% 198.98/199.12 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 198.98/199.12 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) )
% 198.98/199.12 => ( ( V_m_2 = V_na_2
% 198.98/199.12 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) )
% 198.98/199.12 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 198.98/199.12 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) )
% 198.98/199.12 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_one__reorient,axiom,
% 198.98/199.12 ! [V_x_2,T_b] :
% 198.98/199.12 ( class_Groups_Oone(T_b)
% 198.98/199.12 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2
% 198.98/199.12 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 198.98/199.12 ! [V_a,T_a] :
% 198.98/199.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.12 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 198.98/199.12 ! [V_a,T_a] :
% 198.98/199.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.12 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_mult_Ocomm__neutral,axiom,
% 198.98/199.12 ! [V_a,T_a] :
% 198.98/199.12 ( class_Groups_Ocomm__monoid__mult(T_a)
% 198.98/199.12 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_mult__1__right,axiom,
% 198.98/199.12 ! [V_a,T_a] :
% 198.98/199.12 ( class_Groups_Omonoid__mult(T_a)
% 198.98/199.12 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_mult__1,axiom,
% 198.98/199.12 ! [V_a,T_a] :
% 198.98/199.12 ( class_Groups_Ocomm__monoid__mult(T_a)
% 198.98/199.12 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_mult__1__left,axiom,
% 198.98/199.12 ! [V_a,T_a] :
% 198.98/199.12 ( class_Groups_Omonoid__mult(T_a)
% 198.98/199.12 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_setprod__eq__1__iff,axiom,
% 198.98/199.12 ! [V_f_2,V_F_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 198.98/199.12 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 198.98/199.12 <=> ! [B_x] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 198.98/199.12 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_termination__basic__simps_I2_J,axiom,
% 198.98/199.12 ! [V_y,V_z,V_x] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_termination__basic__simps_I1_J,axiom,
% 198.98/199.12 ! [V_z,V_y,V_x] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__lessD1,axiom,
% 198.98/199.12 ! [V_k,V_j,V_i] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__add__eq__less,axiom,
% 198.98/199.12 ! [V_n,V_m,V_l,V_k] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 198.98/199.12 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_l) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_n)
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__less__mono,axiom,
% 198.98/199.12 ! [V_l,V_k,V_j,V_i] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l))) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__less__mono1,axiom,
% 198.98/199.12 ! [V_k,V_j,V_i] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_trans__less__add2,axiom,
% 198.98/199.12 ! [V_m,V_j,V_i] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_j))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_trans__less__add1,axiom,
% 198.98/199.12 ! [V_m,V_j,V_i] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_m))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_nat__add__left__cancel__less,axiom,
% 198.98/199.12 ! [V_na_2,V_m_2,V_k_2] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_na_2)))
% 198.98/199.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_not__add__less2,axiom,
% 198.98/199.12 ! [V_i,V_j] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_i)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_not__add__less1,axiom,
% 198.98/199.12 ! [V_j,V_i] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_i)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_termination__basic__simps_I5_J,axiom,
% 198.98/199.12 ! [V_y,V_x] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__or__eq__imp__le,axiom,
% 198.98/199.12 ! [V_n,V_m] :
% 198.98/199.12 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 198.98/199.12 | V_m = V_n )
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_le__neq__implies__less,axiom,
% 198.98/199.12 ! [V_n,V_m] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 198.98/199.12 => ( V_m != V_n
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__imp__le__nat,axiom,
% 198.98/199.12 ! [V_n,V_m] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_le__eq__less__or__eq,axiom,
% 198.98/199.12 ! [V_na_2,V_m_2] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 198.98/199.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 198.98/199.12 | V_m_2 = V_na_2 ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_nat__less__le,axiom,
% 198.98/199.12 ! [V_na_2,V_m_2] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 198.98/199.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 198.98/199.12 & V_m_2 != V_na_2 ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__imp__diff__less,axiom,
% 198.98/199.12 ! [V_n,V_k,V_j] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_n)),V_k)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_diff__less__mono2,axiom,
% 198.98/199.12 ! [V_l,V_n,V_m] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_n)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_m))) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_nat__mult__eq__1__iff,axiom,
% 198.98/199.12 ! [V_na_2,V_m_2] :
% 198.98/199.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 198.98/199.12 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 198.98/199.12 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_nat__mult__1__right,axiom,
% 198.98/199.12 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 198.98/199.12
% 198.98/199.12 fof(fact_nat__1__eq__mult__iff,axiom,
% 198.98/199.12 ! [V_na_2,V_m_2] :
% 198.98/199.12 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2)
% 198.98/199.12 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 198.98/199.12 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_nat__mult__1,axiom,
% 198.98/199.12 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__add__one,axiom,
% 198.98/199.12 ! [V_a,T_a] :
% 198.98/199.12 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__1__mult,axiom,
% 198.98/199.12 ! [V_n,V_m,T_a] :
% 198.98/199.12 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 198.98/199.12 => 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))) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 198.98/199.12 ! [V_m,V_a,T_a] :
% 198.98/199.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.12 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 198.98/199.12 ! [V_a,V_m,T_a] :
% 198.98/199.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.12 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 198.98/199.12 ! [V_m,T_a] :
% 198.98/199.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.12 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_m),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_square__eq__1__iff,axiom,
% 198.98/199.12 ! [V_x_2,T_b] :
% 198.98/199.12 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 198.98/199.12 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 198.98/199.12 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b)
% 198.98/199.12 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 198.98/199.12 ! [V_x,T_a] :
% 198.98/199.12 ( class_Rings_Ocomm__ring__1(T_a)
% 198.98/199.12 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),V_x) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_setprod__empty,axiom,
% 198.98/199.12 ! [V_f_2,T_c,T_b] :
% 198.98/199.12 ( class_Groups_Ocomm__monoid__mult(T_b)
% 198.98/199.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_b) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_setprod_Oempty,axiom,
% 198.98/199.12 ! [V_g_2,T_c,T_b] :
% 198.98/199.12 ( class_Groups_Ocomm__monoid__mult(T_b)
% 198.98/199.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_b) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_setprod__infinite,axiom,
% 198.98/199.12 ! [V_f_2,V_A_2,T_b,T_c] :
% 198.98/199.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 198.98/199.12 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_setprod_Oinfinite,axiom,
% 198.98/199.12 ! [V_g_2,V_A_2,T_b,T_c] :
% 198.98/199.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 198.98/199.12 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__diff__inverse,axiom,
% 198.98/199.12 ! [V_n,V_m] :
% 198.98/199.12 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 198.98/199.12 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = V_m ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__diff__conv,axiom,
% 198.98/199.12 ! [V_k_2,V_j_2,V_i_2] :
% 198.98/199.12 ( 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)))
% 198.98/199.12 <=> 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)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__diff__iff,axiom,
% 198.98/199.12 ! [V_na_2,V_m_2,V_k_2] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),V_k_2)))
% 198.98/199.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_diff__less__mono,axiom,
% 198.98/199.12 ! [V_c,V_b,V_a] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a),V_c)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_b),V_c))) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_psubset__card__mono,axiom,
% 198.98/199.12 ! [V_A_2,V_B_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_nat__less__add__iff1,axiom,
% 198.98/199.12 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2)))
% 198.98/199.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)),V_na_2)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_nat__less__add__iff2,axiom,
% 198.98/199.12 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2)))
% 198.98/199.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_na_2))) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card__psubset,axiom,
% 198.98/199.12 ! [V_A_2,V_B_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card_Oinsert,axiom,
% 198.98/199.12 ! [V_x_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.98/199.12 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Cantors__paradox,axiom,
% 198.98/199.12 ! [V_A_2,T_b] :
% 198.98/199.12 ~ ? [B_f] : hAPP(c_Set_Oimage(T_b,tc_fun(T_b,tc_HOL_Obool),B_f),V_A_2) = hAPP(c_Set_OPow(T_b),V_A_2) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 198.98/199.12 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 198.98/199.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.98/199.12 => ( ! [B_x] :
% 198.98/199.12 ( 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)))
% 198.98/199.12 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 198.98/199.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_setprod__Un__one,axiom,
% 198.98/199.12 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 198.98/199.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 198.98/199.12 => ( ! [B_x] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 198.98/199.12 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 198.98/199.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_fold__Un__disjoint,axiom,
% 198.98/199.12 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 198.98/199.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.98/199.12 => ( 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))
% 198.98/199.12 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) ) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_setprod__mono__one__right,axiom,
% 198.98/199.12 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 198.98/199.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 198.98/199.12 => ( ! [B_x] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 198.98/199.12 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 198.98/199.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2) ) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_setprod__mono__one__left,axiom,
% 198.98/199.12 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 198.98/199.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 198.98/199.12 => ( ! [B_x] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 198.98/199.12 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 198.98/199.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2) ) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card__Suc__Diff1,axiom,
% 198.98/199.12 ! [V_x_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.98/199.12 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_compl__unique,axiom,
% 198.98/199.12 ! [V_y,V_x,T_a] :
% 198.98/199.12 ( class_Lattices_Oboolean__algebra(T_a)
% 198.98/199.12 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 198.98/199.12 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 198.98/199.12 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_UNIV__I,axiom,
% 198.98/199.12 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Suc__mono,axiom,
% 198.98/199.12 ! [V_n,V_m] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_lessI,axiom,
% 198.98/199.12 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Sup__UNIV,axiom,
% 198.98/199.12 ! [T_b] :
% 198.98/199.12 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.98/199.12 => c_Complete__Lattice_OSup__class_OSup(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Union__UNIV,axiom,
% 198.98/199.12 ! [T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_top__apply,axiom,
% 198.98/199.12 ! [V_x_2,T_c,T_b] :
% 198.98/199.12 ( class_Orderings_Otop(T_b)
% 198.98/199.12 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_finite__Prod__UNIV,axiom,
% 198.98/199.12 ! [T_c,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 198.98/199.12 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_finite__option__UNIV,axiom,
% 198.98/199.12 ! [T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool))))
% 198.98/199.12 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_finite__Plus__UNIV__iff,axiom,
% 198.98/199.12 ! [T_c,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool))))
% 198.98/199.12 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 198.98/199.12 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_n__not__Suc__n,axiom,
% 198.98/199.12 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Suc__n__not__n,axiom,
% 198.98/199.12 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 198.98/199.12
% 198.98/199.12 fof(fact_nat_Oinject,axiom,
% 198.98/199.12 ! [V_nat_H_2,V_nat_2] :
% 198.98/199.12 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 198.98/199.12 <=> V_nat_2 = V_nat_H_2 ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Suc__inject,axiom,
% 198.98/199.12 ! [V_y,V_x] :
% 198.98/199.12 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 198.98/199.12 => V_x = V_y ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Pow__UNIV,axiom,
% 198.98/199.12 ! [T_b] : hAPP(c_Set_OPow(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Suc__less__SucD,axiom,
% 198.98/199.12 ! [V_n,V_m] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Suc__lessD,axiom,
% 198.98/199.12 ! [V_n,V_m] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__SucE,axiom,
% 198.98/199.12 ! [V_n,V_m] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 198.98/199.12 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 198.98/199.12 => V_m = V_n ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__trans__Suc,axiom,
% 198.98/199.12 ! [V_k,V_j,V_i] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Suc__lessI,axiom,
% 198.98/199.12 ! [V_n,V_m] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 198.98/199.12 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__SucI,axiom,
% 198.98/199.12 ! [V_n,V_m] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__antisym,axiom,
% 198.98/199.12 ! [V_m,V_n] :
% 198.98/199.12 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 198.98/199.12 => V_m = V_n ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_not__less__less__Suc__eq,axiom,
% 198.98/199.12 ! [V_m_2,V_na_2] :
% 198.98/199.12 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2)))
% 198.98/199.12 <=> V_na_2 = V_m_2 ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Suc__less__eq,axiom,
% 198.98/199.12 ! [V_na_2,V_m_2] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_na_2)))
% 198.98/199.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__Suc__eq,axiom,
% 198.98/199.12 ! [V_na_2,V_m_2] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 198.98/199.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 198.98/199.12 | V_m_2 = V_na_2 ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_not__less__eq,axiom,
% 198.98/199.12 ! [V_na_2,V_m_2] :
% 198.98/199.12 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 198.98/199.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_finite__fun__UNIVD2,axiom,
% 198.98/199.12 ! [T_c,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))))
% 198.98/199.12 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__Suc__right,axiom,
% 198.98/199.12 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__Suc,axiom,
% 198.98/199.12 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__Suc__shift,axiom,
% 198.98/199.12 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Suc__n__not__le__n,axiom,
% 198.98/199.12 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_not__less__eq__eq,axiom,
% 198.98/199.12 ! [V_na_2,V_m_2] :
% 198.98/199.12 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 198.98/199.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_le__Suc__eq,axiom,
% 198.98/199.12 ! [V_na_2,V_m_2] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 198.98/199.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 198.98/199.12 | V_m_2 = hAPP(c_Nat_OSuc,V_na_2) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Suc__le__mono,axiom,
% 198.98/199.12 ! [V_m_2,V_na_2] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Nat_OSuc,V_m_2)))
% 198.98/199.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_le__SucI,axiom,
% 198.98/199.12 ! [V_n,V_m] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_le__SucE,axiom,
% 198.98/199.12 ! [V_n,V_m] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 198.98/199.12 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 198.98/199.12 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Suc__leD,axiom,
% 198.98/199.12 ! [V_n,V_m] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_UNIV__not__empty,axiom,
% 198.98/199.12 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_finite__UNIV,axiom,
% 198.98/199.12 ! [T_b] :
% 198.98/199.12 ( class_Finite__Set_Ofinite(T_b)
% 198.98/199.12 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Suc__diff__diff,axiom,
% 198.98/199.12 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)),hAPP(c_Nat_OSuc,V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_k) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_diff__Suc__Suc,axiom,
% 198.98/199.12 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Suc__mult__cancel1,axiom,
% 198.98/199.12 ! [V_na_2,V_m_2,V_k_2] :
% 198.98/199.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_na_2)
% 198.98/199.12 <=> V_m_2 = V_na_2 ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_subset__UNIV,axiom,
% 198.98/199.12 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Un__UNIV__left,axiom,
% 198.98/199.12 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Un__UNIV__right,axiom,
% 198.98/199.12 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Int__UNIV__left,axiom,
% 198.98/199.12 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Int__UNIV__right,axiom,
% 198.98/199.12 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ).
% 198.98/199.12
% 198.98/199.12 fof(fact_fold__image__empty,axiom,
% 198.98/199.12 ! [V_z_2,V_g_2,V_f_2,T_c,T_b] : hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card__UNIV__unit,axiom,
% 198.98/199.12 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) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_min__Suc__Suc,axiom,
% 198.98/199.12 ! [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)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_max__Suc__Suc,axiom,
% 198.98/199.12 ! [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)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_top__greatest,axiom,
% 198.98/199.12 ! [V_x,T_a] :
% 198.98/199.12 ( class_Orderings_Otop(T_a)
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_sup__top__right,axiom,
% 198.98/199.12 ! [V_x,T_a] :
% 198.98/199.12 ( class_Lattices_Obounded__lattice__top(T_a)
% 198.98/199.12 => 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) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_sup__top__left,axiom,
% 198.98/199.12 ! [V_x,T_a] :
% 198.98/199.12 ( class_Lattices_Obounded__lattice__top(T_a)
% 198.98/199.12 => 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) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_inf__top__left,axiom,
% 198.98/199.12 ! [V_x,T_a] :
% 198.98/199.12 ( class_Lattices_Obounded__lattice__top(T_a)
% 198.98/199.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_inf__top__right,axiom,
% 198.98/199.12 ! [V_x,T_a] :
% 198.98/199.12 ( class_Lattices_Obounded__lattice__top(T_a)
% 198.98/199.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_inf__eq__top__iff,axiom,
% 198.98/199.12 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.12 ( class_Lattices_Obounded__lattice__top(T_b)
% 198.98/199.12 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b)
% 198.98/199.12 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b)
% 198.98/199.12 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__iff__Suc__add,axiom,
% 198.98/199.12 ! [V_na_2,V_m_2] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 198.98/199.12 <=> ? [B_k] : V_na_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__add__Suc2,axiom,
% 198.98/199.12 ! [V_m,V_i] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_i)))) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__add__Suc1,axiom,
% 198.98/199.12 ! [V_m,V_i] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)))) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Suc__le__lessD,axiom,
% 198.98/199.12 ! [V_n,V_m] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_le__less__Suc__eq,axiom,
% 198.98/199.12 ! [V_na_2,V_m_2] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2)))
% 198.98/199.12 <=> V_na_2 = V_m_2 ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Suc__leI,axiom,
% 198.98/199.12 ! [V_n,V_m] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_le__imp__less__Suc,axiom,
% 198.98/199.12 ! [V_n,V_m] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Suc__le__eq,axiom,
% 198.98/199.12 ! [V_na_2,V_m_2] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2))
% 198.98/199.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__Suc__eq__le,axiom,
% 198.98/199.12 ! [V_na_2,V_m_2] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 198.98/199.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__eq__Suc__le,axiom,
% 198.98/199.12 ! [V_m_2,V_na_2] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 198.98/199.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_diff__less__Suc,axiom,
% 198.98/199.12 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),hAPP(c_Nat_OSuc,V_m))) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Suc__mult__less__cancel1,axiom,
% 198.98/199.12 ! [V_na_2,V_m_2,V_k_2] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_na_2)))
% 198.98/199.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_range__eqI,axiom,
% 198.98/199.12 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] :
% 198.98/199.12 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_rangeI,axiom,
% 198.98/199.12 ! [T_c,V_x_2,V_f_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_mult__Suc__right,axiom,
% 198.98/199.12 ! [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)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_mult__Suc,axiom,
% 198.98/199.12 ! [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)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Suc__diff__le,axiom,
% 198.98/199.12 ! [V_m,V_n] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 198.98/199.12 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Suc__mult__le__cancel1,axiom,
% 198.98/199.12 ! [V_na_2,V_m_2,V_k_2] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_na_2)))
% 198.98/199.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Diff__UNIV,axiom,
% 198.98/199.12 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_diff__Suc__1,axiom,
% 198.98/199.12 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 198.98/199.12 ! [V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 198.98/199.12 => ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 198.98/199.12 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_surj__Compl__image__subset,axiom,
% 198.98/199.12 ! [V_A_2,V_f_2,T_b,T_c] :
% 198.98/199.12 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Compl__empty__eq,axiom,
% 198.98/199.12 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Compl__UNIV__eq,axiom,
% 198.98/199.12 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_finite__compl,axiom,
% 198.98/199.12 ! [V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 198.98/199.12 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Compl__partition2,axiom,
% 198.98/199.12 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Compl__partition,axiom,
% 198.98/199.12 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 198.98/199.12 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_A_2) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 198.98/199.12 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 198.98/199.12 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 198.98/199.12 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_compl__bot__eq,axiom,
% 198.98/199.12 ! [T_a] :
% 198.98/199.12 ( class_Lattices_Oboolean__algebra(T_a)
% 198.98/199.12 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_compl__top__eq,axiom,
% 198.98/199.12 ! [T_a] :
% 198.98/199.12 ( class_Lattices_Oboolean__algebra(T_a)
% 198.98/199.12 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_compl__sup__top,axiom,
% 198.98/199.12 ! [V_x,T_a] :
% 198.98/199.12 ( class_Lattices_Oboolean__algebra(T_a)
% 198.98/199.12 => 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) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_sup__compl__top,axiom,
% 198.98/199.12 ! [V_x,T_a] :
% 198.98/199.12 ( class_Lattices_Oboolean__algebra(T_a)
% 198.98/199.12 => 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) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_diff__Suc__diff__eq2,axiom,
% 198.98/199.12 ! [V_m,V_j,V_k] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 198.98/199.12 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k))),V_m) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_j)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_m)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_diff__Suc__diff__eq1,axiom,
% 198.98/199.12 ! [V_m,V_j,V_k] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 198.98/199.12 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),hAPP(c_Nat_OSuc,V_j)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card__insert__if,axiom,
% 198.98/199.12 ! [V_x_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.98/199.12 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) )
% 198.98/199.12 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.98/199.12 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card__insert__disjoint,axiom,
% 198.98/199.12 ! [V_x_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.98/199.12 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_fold__image__insert,axiom,
% 198.98/199.12 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] :
% 198.98/199.12 ( class_Groups_Oab__semigroup__mult(T_c)
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.98/199.12 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_a_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),V_A_2)) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_setprod_OF__eq,axiom,
% 198.98/199.12 ! [V_g_2,V_A_2,T_b,T_c] :
% 198.98/199.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 198.98/199.12 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2) )
% 198.98/199.12 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_setprod_Oeq__fold,axiom,
% 198.98/199.12 ! [V_g_2,V_A_2,T_b,T_c] :
% 198.98/199.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card__insert,axiom,
% 198.98/199.12 ! [V_x_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_fold__image__Un__Int,axiom,
% 198.98/199.12 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 198.98/199.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.98/199.12 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 198.98/199.12 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Suc__eq__plus1,axiom,
% 198.98/199.12 ! [V_n] : hAPP(c_Nat_OSuc,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Suc__eq__plus1__left,axiom,
% 198.98/199.12 ! [V_n] : hAPP(c_Nat_OSuc,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_comm__monoid__big_OF__eq,axiom,
% 198.98/199.12 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 198.98/199.12 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 198.98/199.12 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 198.98/199.12 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) )
% 198.98/199.12 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 198.98/199.12 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_fold__image__Un__one,axiom,
% 198.98/199.12 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 198.98/199.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 198.98/199.12 => ( ! [B_x] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 198.98/199.12 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 198.98/199.12 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_T_2)) ) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_fun__upd__image,axiom,
% 198.98/199.12 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 198.98/199.12 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.98/199.12 => hAPP(c_Set_Oimage(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) )
% 198.98/199.12 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.98/199.12 => hAPP(c_Set_Oimage(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Inf__fold__inf,axiom,
% 198.98/199.12 ! [V_A_2,T_b] :
% 198.98/199.12 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),c_Orderings_Otop__class_Otop(T_b)),V_A_2) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_finite__Inter,axiom,
% 198.98/199.12 ! [V_M_2,T_b] :
% 198.98/199.12 ( ? [B_x] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2))
% 198.98/199.12 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 198.98/199.12 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_top1I,axiom,
% 198.98/199.12 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_fun__upd__triv,axiom,
% 198.98/199.12 ! [V_x_2,V_f_2,T_c,T_b] : c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,hAPP(V_f_2,V_x_2)) = V_f_2 ).
% 198.98/199.12
% 198.98/199.12 fof(fact_InterD,axiom,
% 198.98/199.12 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_InterE,axiom,
% 198.98/199.12 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_fun__upd__idem,axiom,
% 198.98/199.12 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] :
% 198.98/199.12 ( hAPP(V_f_2,V_x_2) = V_y_2
% 198.98/199.12 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_fun__upd__other,axiom,
% 198.98/199.12 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 198.98/199.12 ( V_z_2 != V_x_2
% 198.98/199.12 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_fun__upd__twist,axiom,
% 198.98/199.12 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] :
% 198.98/199.12 ( V_a_2 != V_c_2
% 198.98/199.12 => c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_a_2,V_b_2),V_c_2,V_d_2) = c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_c_2,V_d_2),V_a_2,V_b_2) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_fun__upd__apply,axiom,
% 198.98/199.12 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 198.98/199.12 ( ( V_z_2 = V_x_2
% 198.98/199.12 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
% 198.98/199.12 & ( V_z_2 != V_x_2
% 198.98/199.12 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_fun__upd__same,axiom,
% 198.98/199.12 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] : hAPP(c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2),V_x_2) = V_y_2 ).
% 198.98/199.12
% 198.98/199.12 fof(fact_fun__upd__upd,axiom,
% 198.98/199.12 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] : c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_x_2,V_z_2) = c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_z_2) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_fun__upd__idem__iff,axiom,
% 198.98/199.12 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 198.98/199.12 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2
% 198.98/199.12 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Inter__UNIV,axiom,
% 198.98/199.12 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Inter__empty,axiom,
% 198.98/199.12 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_le__Inf__iff,axiom,
% 198.98/199.12 ! [V_A_2,V_b_2,T_b] :
% 198.98/199.12 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)))
% 198.98/199.12 <=> ! [B_x] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Inf__less__iff,axiom,
% 198.98/199.12 ! [V_a_2,V_S_2,T_b] :
% 198.98/199.12 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.98/199.12 & class_Orderings_Olinorder(T_b) )
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2))
% 198.98/199.12 <=> ? [B_x] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 198.98/199.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Inf__UNIV,axiom,
% 198.98/199.12 ! [T_b] :
% 198.98/199.12 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.98/199.12 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Inter__lower,axiom,
% 198.98/199.12 ! [V_A_2,V_B_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Inter__anti__mono,axiom,
% 198.98/199.12 ! [V_A_2,V_B_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_B_2),V_A_2))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Inter__insert,axiom,
% 198.98/199.12 ! [V_B_2,V_a_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Inf__lower,axiom,
% 198.98/199.12 ! [V_A_2,V_x_2,T_b] :
% 198.98/199.12 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)),V_x_2)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Inter__Un__distrib,axiom,
% 198.98/199.12 ! [V_B_2,V_A_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Inf__singleton,axiom,
% 198.98/199.12 ! [V_a_2,T_b] :
% 198.98/199.12 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.98/199.12 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Inf__empty,axiom,
% 198.98/199.12 ! [T_b] :
% 198.98/199.12 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.98/199.12 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Inf__insert,axiom,
% 198.98/199.12 ! [V_A_2,V_a_2,T_b] :
% 198.98/199.12 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.98/199.12 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Int__eq__Inter,axiom,
% 198.98/199.12 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Inter__Un__subset,axiom,
% 198.98/199.12 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Inf__binary,axiom,
% 198.98/199.12 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.12 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.98/199.12 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_b_2) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_inf__Inf__fold__inf,axiom,
% 198.98/199.12 ! [V_B_2,V_A_2,T_b] :
% 198.98/199.12 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_B_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_B_2),V_A_2) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Inf__fin__Inf,axiom,
% 198.98/199.12 ! [V_A_2,T_b] :
% 198.98/199.12 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.98/199.12 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 198.98/199.12 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 198.98/199.12 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 198.98/199.12 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 198.98/199.12 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_iso__tuple__UNIV__I,axiom,
% 198.98/199.12 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_finite__fun__UNIVD1,axiom,
% 198.98/199.12 ! [T_c,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))))
% 198.98/199.12 => ( hAPP(c_Finite__Set_Ocard(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 198.98/199.12 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_convex__bound__lt,axiom,
% 198.98/199.12 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 198.98/199.12 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 198.98/199.12 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 198.98/199.12 => 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)) ) ) ) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card__partition,axiom,
% 198.98/199.12 ! [V_k_2,V_C_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2))
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 198.98/199.12 => ( ! [B_c] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2))
% 198.98/199.12 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 )
% 198.98/199.12 => ( ! [B_c1] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2))
% 198.98/199.12 => ! [B_c2] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2))
% 198.98/199.12 => ( B_c1 != B_c2
% 198.98/199.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_c1),B_c2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 198.98/199.12 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) = hAPP(c_Finite__Set_Ocard(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)) ) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_fold__image__1,axiom,
% 198.98/199.12 ! [V_f_2,V_S_2,T_b,T_c] :
% 198.98/199.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 198.98/199.12 => ( ! [B_x] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 198.98/199.12 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 198.98/199.12 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card__Plus,axiom,
% 198.98/199.12 ! [V_B_2,T_c,V_A_2,T_b] :
% 198.98/199.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 198.98/199.12 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_fold__image__cong,axiom,
% 198.98/199.12 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 198.98/199.12 ( class_Groups_Oab__semigroup__mult(T_c)
% 198.98/199.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 => ( ! [B_x] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.98/199.12 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 198.98/199.12 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),V_z_2),V_A_2) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__zeroE,axiom,
% 198.98/199.12 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_le0,axiom,
% 198.98/199.12 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_zero__less__Suc,axiom,
% 198.98/199.12 ! [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))) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_zero__reorient,axiom,
% 198.98/199.12 ! [V_x_2,T_b] :
% 198.98/199.12 ( class_Groups_Ozero(T_b)
% 198.98/199.12 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2
% 198.98/199.12 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_bot__nat__def,axiom,
% 198.98/199.12 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__0__left,axiom,
% 198.98/199.12 ! [V_a,T_a] :
% 198.98/199.12 ( class_Groups_Omonoid__add(T_a)
% 198.98/199.12 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__0,axiom,
% 198.98/199.12 ! [V_a,T_a] :
% 198.98/199.12 ( class_Groups_Ocomm__monoid__add(T_a)
% 198.98/199.12 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_double__zero__sym,axiom,
% 198.98/199.12 ! [V_a_2,T_b] :
% 198.98/199.12 ( class_Groups_Olinordered__ab__group__add(T_b)
% 198.98/199.12 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)
% 198.98/199.12 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__0__right,axiom,
% 198.98/199.12 ! [V_a,T_a] :
% 198.98/199.12 ( class_Groups_Omonoid__add(T_a)
% 198.98/199.12 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add_Ocomm__neutral,axiom,
% 198.98/199.12 ! [V_a,T_a] :
% 198.98/199.12 ( class_Groups_Ocomm__monoid__add(T_a)
% 198.98/199.12 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__0__iff,axiom,
% 198.98/199.12 ! [V_a_2,V_b_2,T_b] :
% 198.98/199.12 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 198.98/199.12 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2)
% 198.98/199.12 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 198.98/199.12 ! [V_a,T_a] :
% 198.98/199.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.12 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 198.98/199.12 ! [V_a,T_a] :
% 198.98/199.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.12 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_divisors__zero,axiom,
% 198.98/199.12 ! [V_b,V_a,T_a] :
% 198.98/199.12 ( class_Rings_Ono__zero__divisors(T_a)
% 198.98/199.12 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.12 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.12 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_no__zero__divisors,axiom,
% 198.98/199.12 ! [V_b,V_a,T_a] :
% 198.98/199.12 ( class_Rings_Ono__zero__divisors(T_a)
% 198.98/199.12 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.12 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.12 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_mult__eq__0__iff,axiom,
% 198.98/199.12 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.12 ( class_Rings_Oring__no__zero__divisors(T_b)
% 198.98/199.12 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.12 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.12 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_mult__zero__right,axiom,
% 198.98/199.12 ! [V_a,T_a] :
% 198.98/199.12 ( class_Rings_Omult__zero(T_a)
% 198.98/199.12 => 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) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_mult__zero__left,axiom,
% 198.98/199.12 ! [V_a,T_a] :
% 198.98/199.12 ( class_Rings_Omult__zero(T_a)
% 198.98/199.12 => 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) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 198.98/199.12 ! [V_a,T_a] :
% 198.98/199.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.12 => 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) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 198.98/199.12 ! [V_a,T_a] :
% 198.98/199.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.12 => 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) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_right__minus__eq,axiom,
% 198.98/199.12 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.12 ( class_Groups_Ogroup__add(T_b)
% 198.98/199.12 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.12 <=> V_a_2 = V_b_2 ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_eq__iff__diff__eq__0,axiom,
% 198.98/199.12 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.12 ( class_Groups_Oab__group__add(T_b)
% 198.98/199.12 => ( V_a_2 = V_b_2
% 198.98/199.12 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_diff__self,axiom,
% 198.98/199.12 ! [V_a,T_a] :
% 198.98/199.12 ( class_Groups_Ogroup__add(T_a)
% 198.98/199.12 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_diff__0__right,axiom,
% 198.98/199.12 ! [V_a,T_a] :
% 198.98/199.12 ( class_Groups_Ogroup__add(T_a)
% 198.98/199.12 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_one__neq__zero,axiom,
% 198.98/199.12 ! [T_a] :
% 198.98/199.12 ( class_Rings_Ozero__neq__one(T_a)
% 198.98/199.12 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_zero__neq__one,axiom,
% 198.98/199.12 ! [T_a] :
% 198.98/199.12 ( class_Rings_Ozero__neq__one(T_a)
% 198.98/199.12 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_minus__zero,axiom,
% 198.98/199.12 ! [T_a] :
% 198.98/199.12 ( class_Groups_Ogroup__add(T_a)
% 198.98/199.12 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_neg__0__equal__iff__equal,axiom,
% 198.98/199.12 ! [V_a_2,T_b] :
% 198.98/199.12 ( class_Groups_Ogroup__add(T_b)
% 198.98/199.12 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 198.98/199.12 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_equal__neg__zero,axiom,
% 198.98/199.12 ! [V_a_2,T_b] :
% 198.98/199.12 ( class_Groups_Olinordered__ab__group__add(T_b)
% 198.98/199.12 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 198.98/199.12 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_neg__equal__0__iff__equal,axiom,
% 198.98/199.12 ! [V_a_2,T_b] :
% 198.98/199.12 ( class_Groups_Ogroup__add(T_b)
% 198.98/199.12 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.12 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_neg__equal__zero,axiom,
% 198.98/199.12 ! [V_a_2,T_b] :
% 198.98/199.12 ( class_Groups_Olinordered__ab__group__add(T_b)
% 198.98/199.12 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2
% 198.98/199.12 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Zero__not__Suc,axiom,
% 198.98/199.12 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_nat_Osimps_I2_J,axiom,
% 198.98/199.12 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Suc__not__Zero,axiom,
% 198.98/199.12 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_nat_Osimps_I3_J,axiom,
% 198.98/199.12 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Zero__neq__Suc,axiom,
% 198.98/199.12 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Suc__neq__Zero,axiom,
% 198.98/199.12 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_gr0I,axiom,
% 198.98/199.12 ! [V_n] :
% 198.98/199.12 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_gr__implies__not0,axiom,
% 198.98/199.12 ! [V_n,V_m] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 198.98/199.12 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__nat__zero__code,axiom,
% 198.98/199.12 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_neq0__conv,axiom,
% 198.98/199.12 ! [V_na_2] :
% 198.98/199.12 ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_not__less0,axiom,
% 198.98/199.12 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_plus__nat_Oadd__0,axiom,
% 198.98/199.12 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 198.98/199.12
% 198.98/199.12 fof(fact_Nat_Oadd__0__right,axiom,
% 198.98/199.12 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__is__0,axiom,
% 198.98/199.12 ! [V_na_2,V_m_2] :
% 198.98/199.12 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.12 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.12 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__eq__self__zero,axiom,
% 198.98/199.12 ! [V_n,V_m] :
% 198.98/199.12 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 198.98/199.12 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 198.98/199.12 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_le__0__eq,axiom,
% 198.98/199.12 ! [V_na_2] :
% 198.98/199.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 198.98/199.12 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_diffs0__imp__equal,axiom,
% 198.98/199.12 ! [V_n,V_m] :
% 198.98/199.12 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.12 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.12 => V_m = V_n ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_diff__self__eq__0,axiom,
% 198.98/199.12 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_minus__nat_Odiff__0,axiom,
% 198.98/199.12 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 198.98/199.12
% 198.98/199.12 fof(fact_diff__0__eq__0,axiom,
% 198.98/199.12 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_mult__0,axiom,
% 198.98/199.12 ! [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) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_mult__0__right,axiom,
% 198.98/199.12 ! [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) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_mult__is__0,axiom,
% 198.98/199.12 ! [V_na_2,V_m_2] :
% 198.98/199.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.12 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.12 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_mult__cancel1,axiom,
% 198.98/199.12 ! [V_na_2,V_m_2,V_k_2] :
% 198.98/199.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2)
% 198.98/199.12 <=> ( V_m_2 = V_na_2
% 198.98/199.12 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_mult__cancel2,axiom,
% 198.98/199.12 ! [V_na_2,V_k_2,V_m_2] :
% 198.98/199.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),V_k_2)
% 198.98/199.12 <=> ( V_m_2 = V_na_2
% 198.98/199.12 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 198.98/199.12 ! [V_na_2,V_m_2,V_k_2] :
% 198.98/199.12 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2)
% 198.98/199.12 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.12 | V_m_2 = V_na_2 ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_min__0R,axiom,
% 198.98/199.12 ! [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) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_min__0L,axiom,
% 198.98/199.12 ! [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) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_max__0R,axiom,
% 198.98/199.12 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 198.98/199.12
% 198.98/199.12 fof(fact_max__0L,axiom,
% 198.98/199.12 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 198.98/199.12
% 198.98/199.12 fof(fact_card__Plus__conv__if,axiom,
% 198.98/199.12 ! [V_B_2,T_c,V_A_2,T_b] :
% 198.98/199.12 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 198.98/199.12 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) )
% 198.98/199.12 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.12 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 198.98/199.12 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 198.98/199.12 ! [V_a_2,T_b] :
% 198.98/199.12 ( class_Groups_Olinordered__ab__group__add(T_b)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)))
% 198.98/199.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 198.98/199.12 ! [V_a_2,T_b] :
% 198.98/199.12 ( class_Groups_Olinordered__ab__group__add(T_b)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__nonneg__nonneg,axiom,
% 198.98/199.12 ! [V_b,V_a,T_a] :
% 198.98/199.12 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__nonneg__eq__0__iff,axiom,
% 198.98/199.12 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.12 ( class_Groups_Oordered__comm__monoid__add(T_b)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2))
% 198.98/199.12 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.12 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.12 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__increasing,axiom,
% 198.98/199.12 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.12 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__increasing2,axiom,
% 198.98/199.12 ! [V_a,V_b,V_c,T_a] :
% 198.98/199.12 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_add__nonpos__nonpos,axiom,
% 198.98/199.12 ! [V_b,V_a,T_a] :
% 198.98/199.12 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_zero__le__square,axiom,
% 198.98/199.12 ! [V_a,T_a] :
% 198.98/199.12 ( class_Rings_Olinordered__ring(T_a)
% 198.98/199.12 => 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))) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_zero__le__mult__iff,axiom,
% 198.98/199.12 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.12 ( class_Rings_Olinordered__ring__strict(T_b)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)))
% 198.98/199.12 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 198.98/199.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 198.98/199.12 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_mult__le__0__iff,axiom,
% 198.98/199.12 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.12 ( class_Rings_Olinordered__ring__strict(T_b)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.12 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 198.98/199.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 198.98/199.12 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_mult__nonneg__nonneg,axiom,
% 198.98/199.12 ! [V_b,V_a,T_a] :
% 198.98/199.12 ( class_Rings_Oordered__cancel__semiring(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 198.98/199.12 => 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))) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_mult__nonneg__nonpos,axiom,
% 198.98/199.12 ! [V_b,V_a,T_a] :
% 198.98/199.12 ( class_Rings_Oordered__cancel__semiring(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.12 => 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))) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_mult__nonneg__nonpos2,axiom,
% 198.98/199.12 ! [V_b,V_a,T_a] :
% 198.98/199.12 ( class_Rings_Oordered__cancel__semiring(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.12 => 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))) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_mult__nonpos__nonneg,axiom,
% 198.98/199.12 ! [V_b,V_a,T_a] :
% 198.98/199.12 ( class_Rings_Oordered__cancel__semiring(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 198.98/199.12 => 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))) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_mult__nonpos__nonpos,axiom,
% 198.98/199.12 ! [V_b,V_a,T_a] :
% 198.98/199.12 ( class_Rings_Oordered__ring(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.12 => 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))) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_mult__right__mono,axiom,
% 198.98/199.12 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.12 ( class_Rings_Oordered__semiring(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 198.98/199.12 => 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))) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_mult__left__mono,axiom,
% 198.98/199.12 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.12 ( class_Rings_Oordered__semiring(T_a)
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 198.98/199.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 198.98/199.12 => 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))) ) ) ) ).
% 198.98/199.12
% 198.98/199.12 fof(fact_comm__mult__left__mono,axiom,
% 198.98/199.12 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.12 ( class_Rings_Oordered__comm__semiring(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__right__mono__neg,axiom,
% 198.98/199.13 ! [V_c,V_a,V_b,T_a] :
% 198.98/199.13 ( class_Rings_Oordered__ring(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__left__mono__neg,axiom,
% 198.98/199.13 ! [V_c,V_a,V_b,T_a] :
% 198.98/199.13 ( class_Rings_Oordered__ring(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__mono_H,axiom,
% 198.98/199.13 ! [V_d,V_c,V_b,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Oordered__semiring(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 198.98/199.13 => 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))) ) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__mono,axiom,
% 198.98/199.13 ! [V_d,V_c,V_b,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Oordered__semiring(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 198.98/199.13 => 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))) ) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_split__mult__pos__le,axiom,
% 198.98/199.13 ! [V_b,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Oordered__ring(T_a)
% 198.98/199.13 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 198.98/199.13 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 198.98/199.13 => 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))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_split__mult__neg__le,axiom,
% 198.98/199.13 ! [V_b,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Oordered__cancel__semiring(T_a)
% 198.98/199.13 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 198.98/199.13 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 198.98/199.13 => 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))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_pos__add__strict,axiom,
% 198.98/199.13 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 198.98/199.13 ! [V_a_2,T_b] :
% 198.98/199.13 ( class_Groups_Olinordered__ab__group__add(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 198.98/199.13 ! [V_a_2,T_b] :
% 198.98/199.13 ( class_Groups_Olinordered__ab__group__add(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_add__pos__pos,axiom,
% 198.98/199.13 ! [V_b,V_a,T_a] :
% 198.98/199.13 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_add__neg__neg,axiom,
% 198.98/199.13 ! [V_b,V_a,T_a] :
% 198.98/199.13 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__strict__left__mono__neg,axiom,
% 198.98/199.13 ! [V_c,V_a,V_b,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__ring__strict(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__strict__right__mono__neg,axiom,
% 198.98/199.13 ! [V_c,V_a,V_b,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__ring__strict(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_comm__mult__strict__left__mono,axiom,
% 198.98/199.13 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__strict__left__mono,axiom,
% 198.98/199.13 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semiring__strict(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__strict__right__mono,axiom,
% 198.98/199.13 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semiring__strict(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__neg__neg,axiom,
% 198.98/199.13 ! [V_b,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__ring__strict(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__neg__pos,axiom,
% 198.98/199.13 ! [V_b,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semiring__strict(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__less__cancel__left__neg,axiom,
% 198.98/199.13 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 198.98/199.13 ( class_Rings_Olinordered__ring__strict(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zero__less__mult__pos2,axiom,
% 198.98/199.13 ! [V_a,V_b,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semiring__strict(T_a)
% 198.98/199.13 => ( 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)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zero__less__mult__pos,axiom,
% 198.98/199.13 ! [V_b,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semiring__strict(T_a)
% 198.98/199.13 => ( 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)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__pos__neg2,axiom,
% 198.98/199.13 ! [V_b,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semiring__strict(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__pos__neg,axiom,
% 198.98/199.13 ! [V_b,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semiring__strict(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__pos__pos,axiom,
% 198.98/199.13 ! [V_b,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semiring__strict(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__less__cancel__left__pos,axiom,
% 198.98/199.13 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 198.98/199.13 ( class_Rings_Olinordered__ring__strict(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__less__cancel__left__disj,axiom,
% 198.98/199.13 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 198.98/199.13 ( class_Rings_Olinordered__ring__strict(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 198.98/199.13 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 198.98/199.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 198.98/199.13 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__less__cancel__right__disj,axiom,
% 198.98/199.13 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 198.98/199.13 ( class_Rings_Olinordered__ring__strict(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2)))
% 198.98/199.13 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 198.98/199.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 198.98/199.13 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_not__square__less__zero,axiom,
% 198.98/199.13 ! [V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__ring(T_a)
% 198.98/199.13 => ~ 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))) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_le__iff__diff__le__0,axiom,
% 198.98/199.13 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.13 ( class_Groups_Oordered__ab__group__add(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_less__iff__diff__less__0,axiom,
% 198.98/199.13 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.13 ( class_Groups_Oordered__ab__group__add(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_add__scale__eq__noteq,axiom,
% 198.98/199.13 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 198.98/199.13 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 198.98/199.13 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.13 => ( ( V_a = V_b
% 198.98/199.13 & V_c != V_d )
% 198.98/199.13 => 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)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_sum__squares__eq__zero__iff,axiom,
% 198.98/199.13 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.13 ( class_Rings_Olinordered__ring__strict(T_b)
% 198.98/199.13 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.13 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.13 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zero__le__one,axiom,
% 198.98/199.13 ! [T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => 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))) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_not__one__le__zero,axiom,
% 198.98/199.13 ! [T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => ~ 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))) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zero__less__one,axiom,
% 198.98/199.13 ! [T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_not__one__less__zero,axiom,
% 198.98/199.13 ! [T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_minus__le__self__iff,axiom,
% 198.98/199.13 ! [V_a_2,T_b] :
% 198.98/199.13 ( class_Groups_Olinordered__ab__group__add(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_neg__le__0__iff__le,axiom,
% 198.98/199.13 ! [V_a_2,T_b] :
% 198.98/199.13 ( class_Groups_Oordered__ab__group__add(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_le__minus__self__iff,axiom,
% 198.98/199.13 ! [V_a_2,T_b] :
% 198.98/199.13 ( class_Groups_Olinordered__ab__group__add(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_neg__0__le__iff__le,axiom,
% 198.98/199.13 ! [V_a_2,T_b] :
% 198.98/199.13 ( class_Groups_Oordered__ab__group__add(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_less__minus__self__iff,axiom,
% 198.98/199.13 ! [V_a_2,T_b] :
% 198.98/199.13 ( class_Rings_Olinordered__idom(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_neg__0__less__iff__less,axiom,
% 198.98/199.13 ! [V_a_2,T_b] :
% 198.98/199.13 ( class_Groups_Oordered__ab__group__add(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_neg__less__0__iff__less,axiom,
% 198.98/199.13 ! [V_a_2,T_b] :
% 198.98/199.13 ( class_Groups_Oordered__ab__group__add(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_neg__less__nonneg,axiom,
% 198.98/199.13 ! [V_a_2,T_b] :
% 198.98/199.13 ( class_Groups_Olinordered__ab__group__add(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_right__minus,axiom,
% 198.98/199.13 ! [V_a,T_a] :
% 198.98/199.13 ( class_Groups_Ogroup__add(T_a)
% 198.98/199.13 => 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) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 198.98/199.13 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.13 ( class_Groups_Ogroup__add(T_b)
% 198.98/199.13 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 198.98/199.13 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_left__minus,axiom,
% 198.98/199.13 ! [V_a,T_a] :
% 198.98/199.13 ( class_Groups_Ogroup__add(T_a)
% 198.98/199.13 => 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) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_ab__left__minus,axiom,
% 198.98/199.13 ! [V_a,T_a] :
% 198.98/199.13 ( class_Groups_Oab__group__add(T_a)
% 198.98/199.13 => 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) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_minus__unique,axiom,
% 198.98/199.13 ! [V_b,V_a,T_a] :
% 198.98/199.13 ( class_Groups_Ogroup__add(T_a)
% 198.98/199.13 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.13 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_diff__0,axiom,
% 198.98/199.13 ! [V_a,T_a] :
% 198.98/199.13 ( class_Groups_Ogroup__add(T_a)
% 198.98/199.13 => 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) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_setsum_Oempty,axiom,
% 198.98/199.13 ! [V_g_2,T_c,T_b] :
% 198.98/199.13 ( class_Groups_Ocomm__monoid__add(T_b)
% 198.98/199.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_setsum__empty,axiom,
% 198.98/199.13 ! [V_f_2,T_c,T_b] :
% 198.98/199.13 ( class_Groups_Ocomm__monoid__add(T_b)
% 198.98/199.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_setsum__infinite,axiom,
% 198.98/199.13 ! [V_f_2,V_A_2,T_b,T_c] :
% 198.98/199.13 ( class_Groups_Ocomm__monoid__add(T_c)
% 198.98/199.13 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_setsum_Oinfinite,axiom,
% 198.98/199.13 ! [V_g_2,V_A_2,T_b,T_c] :
% 198.98/199.13 ( class_Groups_Ocomm__monoid__add(T_c)
% 198.98/199.13 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_setprod__zero,axiom,
% 198.98/199.13 ! [V_f_2,V_A_2,T_b,T_c] :
% 198.98/199.13 ( class_Rings_Ocomm__semiring__1(T_c)
% 198.98/199.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.13 => ( ? [B_x] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.98/199.13 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 198.98/199.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_setprod__zero__iff,axiom,
% 198.98/199.13 ! [V_f_2,V_A_2,T_b,T_c] :
% 198.98/199.13 ( ( class_Rings_Ocomm__semiring__1(T_c)
% 198.98/199.13 & class_Rings_Ono__zero__divisors(T_c) )
% 198.98/199.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.13 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c)
% 198.98/199.13 <=> ? [B_x] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.98/199.13 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_gr0__conv__Suc,axiom,
% 198.98/199.13 ! [V_na_2] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 198.98/199.13 <=> ? [B_m] : V_na_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_less__Suc0,axiom,
% 198.98/199.13 ! [V_na_2] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 198.98/199.13 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_less__Suc__eq__0__disj,axiom,
% 198.98/199.13 ! [V_na_2,V_m_2] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 198.98/199.13 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.13 | ? [B_j] :
% 198.98/199.13 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 198.98/199.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_na_2)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_one__is__add,axiom,
% 198.98/199.13 ! [V_na_2,V_m_2] :
% 198.98/199.13 ( hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2)
% 198.98/199.13 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 198.98/199.13 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 198.98/199.13 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.13 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_add__is__1,axiom,
% 198.98/199.13 ! [V_na_2,V_m_2] :
% 198.98/199.13 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 198.98/199.13 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 198.98/199.13 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 198.98/199.13 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.13 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_add__gr__0,axiom,
% 198.98/199.13 ! [V_na_2,V_m_2] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2)))
% 198.98/199.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 198.98/199.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_card_Oempty,axiom,
% 198.98/199.13 ! [T_b] : hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_card__infinite,axiom,
% 198.98/199.13 ! [V_A_2,T_b] :
% 198.98/199.13 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.13 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__eq__1__iff,axiom,
% 198.98/199.13 ! [V_na_2,V_m_2] :
% 198.98/199.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 198.98/199.13 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 198.98/199.13 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zero__less__diff,axiom,
% 198.98/199.13 ! [V_m_2,V_na_2] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),V_m_2)))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_diff__less,axiom,
% 198.98/199.13 ! [V_m,V_n] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 198.98/199.13 => 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)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__less__mono2,axiom,
% 198.98/199.13 ! [V_k,V_j,V_i] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 198.98/199.13 => 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))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__less__mono1,axiom,
% 198.98/199.13 ! [V_k,V_j,V_i] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 198.98/199.13 => 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))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__less__cancel2,axiom,
% 198.98/199.13 ! [V_na_2,V_k_2,V_m_2] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),V_k_2)))
% 198.98/199.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 198.98/199.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__less__cancel1,axiom,
% 198.98/199.13 ! [V_na_2,V_m_2,V_k_2] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2)))
% 198.98/199.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 198.98/199.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_nat__0__less__mult__iff,axiom,
% 198.98/199.13 ! [V_na_2,V_m_2] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2)))
% 198.98/199.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 198.98/199.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_nat__mult__eq__cancel1,axiom,
% 198.98/199.13 ! [V_na_2,V_m_2,V_k_2] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 198.98/199.13 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2)
% 198.98/199.13 <=> V_m_2 = V_na_2 ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_nat__mult__less__cancel1,axiom,
% 198.98/199.13 ! [V_na_2,V_m_2,V_k_2] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2)))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_diff__add__0,axiom,
% 198.98/199.13 ! [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) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_diff__is__0__eq,axiom,
% 198.98/199.13 ! [V_na_2,V_m_2] :
% 198.98/199.13 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_diff__is__0__eq_H,axiom,
% 198.98/199.13 ! [V_n,V_m] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 198.98/199.13 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_One__nat__def,axiom,
% 198.98/199.13 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__eq__self__implies__10,axiom,
% 198.98/199.13 ! [V_n,V_m] :
% 198.98/199.13 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 198.98/199.13 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 198.98/199.13 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_setsum__eq__0__iff,axiom,
% 198.98/199.13 ! [V_f_2,V_F_2,T_b] :
% 198.98/199.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 198.98/199.13 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.13 <=> ! [B_x] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 198.98/199.13 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_add__nonpos__neg,axiom,
% 198.98/199.13 ! [V_b,V_a,T_a] :
% 198.98/199.13 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_add__neg__nonpos,axiom,
% 198.98/199.13 ! [V_b,V_a,T_a] :
% 198.98/199.13 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_add__strict__increasing2,axiom,
% 198.98/199.13 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.13 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_add__strict__increasing,axiom,
% 198.98/199.13 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.13 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_add__nonneg__pos,axiom,
% 198.98/199.13 ! [V_b,V_a,T_a] :
% 198.98/199.13 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_add__pos__nonneg,axiom,
% 198.98/199.13 ! [V_b,V_a,T_a] :
% 198.98/199.13 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__le__cancel__left__pos,axiom,
% 198.98/199.13 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 198.98/199.13 ( class_Rings_Olinordered__ring__strict(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__le__cancel__left__neg,axiom,
% 198.98/199.13 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 198.98/199.13 ( class_Rings_Olinordered__ring__strict(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__strict__mono,axiom,
% 198.98/199.13 ! [V_d,V_c,V_b,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semiring__strict(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 198.98/199.13 => 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))) ) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__strict__mono_H,axiom,
% 198.98/199.13 ! [V_d,V_c,V_b,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semiring__strict(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 198.98/199.13 => 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))) ) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__less__le__imp__less,axiom,
% 198.98/199.13 ! [V_d,V_c,V_b,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semiring__strict(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 198.98/199.13 => 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))) ) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__le__less__imp__less,axiom,
% 198.98/199.13 ! [V_d,V_c,V_b,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semiring__strict(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 198.98/199.13 => 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))) ) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__right__less__imp__less,axiom,
% 198.98/199.13 ! [V_b,V_c,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semiring(T_a)
% 198.98/199.13 => ( 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)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__less__imp__less__right,axiom,
% 198.98/199.13 ! [V_b,V_c,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semiring__strict(T_a)
% 198.98/199.13 => ( 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)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__left__less__imp__less,axiom,
% 198.98/199.13 ! [V_b,V_a,V_c,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semiring(T_a)
% 198.98/199.13 => ( 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)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__less__imp__less__left,axiom,
% 198.98/199.13 ! [V_b,V_a,V_c,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semiring__strict(T_a)
% 198.98/199.13 => ( 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)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__right__le__imp__le,axiom,
% 198.98/199.13 ! [V_b,V_c,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semiring__strict(T_a)
% 198.98/199.13 => ( 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)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__left__le__imp__le,axiom,
% 198.98/199.13 ! [V_b,V_a,V_c,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semiring__strict(T_a)
% 198.98/199.13 => ( 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)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_sum__squares__ge__zero,axiom,
% 198.98/199.13 ! [V_y,V_x,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__ring(T_a)
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y)))) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_sum__squares__le__zero__iff,axiom,
% 198.98/199.13 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.13 ( class_Rings_Olinordered__ring__strict(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2))),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.13 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_not__sum__squares__lt__zero,axiom,
% 198.98/199.13 ! [V_y,V_x,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__ring(T_a)
% 198.98/199.13 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_sum__squares__gt__zero__iff,axiom,
% 198.98/199.13 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.13 ( class_Rings_Olinordered__ring__strict(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2))))
% 198.98/199.13 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.13 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__right__le__one__le,axiom,
% 198.98/199.13 ! [V_y,V_x,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__idom(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 198.98/199.13 => 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)) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__left__le__one__le,axiom,
% 198.98/199.13 ! [V_y,V_x,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__idom(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 198.98/199.13 => 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)) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zero__less__two,axiom,
% 198.98/199.13 ! [T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)))) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_card__eq__0__iff,axiom,
% 198.98/199.13 ! [V_A_2,T_b] :
% 198.98/199.13 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.13 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.98/199.13 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_card__ge__0__finite,axiom,
% 198.98/199.13 ! [V_A_2,T_b] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 198.98/199.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_Suc__pred,axiom,
% 198.98/199.13 ! [V_n] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 198.98/199.13 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = V_n ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_diff__Suc__less,axiom,
% 198.98/199.13 ! [V_i,V_n] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_i))),V_n)) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_one__less__mult,axiom,
% 198.98/199.13 ! [V_m,V_n] :
% 198.98/199.13 ( 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))
% 198.98/199.13 => ( 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))
% 198.98/199.13 => 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))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_n__less__n__mult__m,axiom,
% 198.98/199.13 ! [V_m,V_n] :
% 198.98/199.13 ( 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))
% 198.98/199.13 => ( 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))
% 198.98/199.13 => 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))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_n__less__m__mult__n,axiom,
% 198.98/199.13 ! [V_m,V_n] :
% 198.98/199.13 ( 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))
% 198.98/199.13 => ( 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))
% 198.98/199.13 => 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))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_nat__diff__split,axiom,
% 198.98/199.13 ! [V_b_2,V_a_2,V_Pa_2] :
% 198.98/199.13 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 198.98/199.13 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 198.98/199.13 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 198.98/199.13 & ! [B_d] :
% 198.98/199.13 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 198.98/199.13 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_nat__diff__split__asm,axiom,
% 198.98/199.13 ! [V_b_2,V_a_2,V_Pa_2] :
% 198.98/199.13 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 198.98/199.13 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 198.98/199.13 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 198.98/199.13 | ? [B_d] :
% 198.98/199.13 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 198.98/199.13 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_one__le__mult__iff,axiom,
% 198.98/199.13 ! [V_na_2,V_m_2] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2)))
% 198.98/199.13 <=> ( 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))
% 198.98/199.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_na_2)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__le__cancel2,axiom,
% 198.98/199.13 ! [V_na_2,V_k_2,V_m_2] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),V_k_2)))
% 198.98/199.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__le__cancel1,axiom,
% 198.98/199.13 ! [V_na_2,V_m_2,V_k_2] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2)))
% 198.98/199.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_nat__mult__le__cancel1,axiom,
% 198.98/199.13 ! [V_na_2,V_m_2,V_k_2] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2)))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_setsum__eq__Suc0__iff,axiom,
% 198.98/199.13 ! [V_f_2,V_A_2,T_b] :
% 198.98/199.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.13 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 198.98/199.13 <=> ? [B_x] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.98/199.13 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 198.98/199.13 & ! [B_xa] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 198.98/199.13 => ( B_x != B_xa
% 198.98/199.13 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_setsum__eq__1__iff,axiom,
% 198.98/199.13 ! [V_f_2,V_A_2,T_b] :
% 198.98/199.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.13 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 198.98/199.13 <=> ? [B_x] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.98/199.13 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 198.98/199.13 & ! [B_xa] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 198.98/199.13 => ( B_x != B_xa
% 198.98/199.13 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_setprod__pos__nat__iff,axiom,
% 198.98/199.13 ! [V_f_2,V_S_2,T_b] :
% 198.98/199.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2)))
% 198.98/199.13 <=> ! [B_x] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_convex__bound__le,axiom,
% 198.98/199.13 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semiring__1(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 198.98/199.13 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y))),V_a)) ) ) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_finite__Plus__iff,axiom,
% 198.98/199.13 ! [V_B_2,V_A_2,T_c,T_b] :
% 198.98/199.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)))
% 198.98/199.13 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.13 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_finite__Plus,axiom,
% 198.98/199.13 ! [V_B_2,T_c,V_A_2,T_b] :
% 198.98/199.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 198.98/199.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_finite__PlusD_I1_J,axiom,
% 198.98/199.13 ! [V_B_2,V_A_2,T_c,T_b] :
% 198.98/199.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)))
% 198.98/199.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_finite__PlusD_I2_J,axiom,
% 198.98/199.13 ! [V_B_2,V_A_2,T_c,T_b] :
% 198.98/199.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)))
% 198.98/199.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_card__gt__0__iff,axiom,
% 198.98/199.13 ! [V_A_2,T_b] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 198.98/199.13 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.98/199.13 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_finite__UNIV__card__ge__0,axiom,
% 198.98/199.13 ! [T_b] :
% 198.98/199.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_setsum_OF__eq,axiom,
% 198.98/199.13 ! [V_g_2,V_A_2,T_b,T_c] :
% 198.98/199.13 ( class_Groups_Ocomm__monoid__add(T_c)
% 198.98/199.13 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) )
% 198.98/199.13 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_setsum_Oeq__fold,axiom,
% 198.98/199.13 ! [V_g_2,V_A_2,T_b,T_c] :
% 198.98/199.13 ( class_Groups_Ocomm__monoid__add(T_c)
% 198.98/199.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_Suc__diff__1,axiom,
% 198.98/199.13 ! [V_n] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 198.98/199.13 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = V_n ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_Suc__pred_H,axiom,
% 198.98/199.13 ! [V_n] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 198.98/199.13 => V_n = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_add__eq__if,axiom,
% 198.98/199.13 ! [V_n,V_m] :
% 198.98/199.13 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.13 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 198.98/199.13 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.13 => 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)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__eq__if,axiom,
% 198.98/199.13 ! [V_n,V_m] :
% 198.98/199.13 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.13 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 198.98/199.13 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.13 => 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)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_UNIV__Plus__UNIV,axiom,
% 198.98/199.13 ! [T_c,T_b] : c_Sum__Type_OPlus(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool)) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_even__less__0__iff,axiom,
% 198.98/199.13 ! [V_a_2,T_b] :
% 198.98/199.13 ( class_Rings_Olinordered__idom(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_card_Ounion__inter__neutral,axiom,
% 198.98/199.13 ! [V_B_2,V_A_2,T_b] :
% 198.98/199.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.98/199.13 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 198.98/199.13 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 198.98/199.13 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_setsum__mono2,axiom,
% 198.98/199.13 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 198.98/199.13 ( class_Groups_Oordered__comm__monoid__add(T_c)
% 198.98/199.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.98/199.13 => ( ! [B_b] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) )
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_Plus__eq__empty__conv,axiom,
% 198.98/199.13 ! [V_B_2,V_A_2,T_c,T_b] :
% 198.98/199.13 ( c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool))
% 198.98/199.13 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.98/199.13 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_setsum__Un__zero,axiom,
% 198.98/199.13 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 198.98/199.13 ( class_Groups_Ocomm__monoid__add(T_c)
% 198.98/199.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 198.98/199.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 198.98/199.13 => ( ! [B_x] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 198.98/199.13 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 198.98/199.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 198.98/199.13 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 198.98/199.13 ( class_Groups_Ocomm__monoid__add(T_c)
% 198.98/199.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.98/199.13 => ( ! [B_x] :
% 198.98/199.13 ( 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)))
% 198.98/199.13 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 198.98/199.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_double__eq__0__iff,axiom,
% 198.98/199.13 ! [V_a_2,T_b] :
% 198.98/199.13 ( class_Groups_Olinordered__ab__group__add(T_b)
% 198.98/199.13 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.13 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_card__Suc__eq,axiom,
% 198.98/199.13 ! [V_k_2,V_A_2,T_b] :
% 198.98/199.13 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 198.98/199.13 <=> ? [B_b,B_B] :
% 198.98/199.13 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B)
% 198.98/199.13 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B))
% 198.98/199.13 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2
% 198.98/199.13 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.13 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_setsum__mono3,axiom,
% 198.98/199.13 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 198.98/199.13 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 198.98/199.13 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 198.98/199.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.98/199.13 => ( ! [B_x] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_Ints__odd__less__0,axiom,
% 198.98/199.13 ! [V_a_2,T_b] :
% 198.98/199.13 ( class_Rings_Olinordered__idom(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_card__Pow,axiom,
% 198.98/199.13 ! [V_A_2,T_b] :
% 198.98/199.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.13 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_setprod__diff1,axiom,
% 198.98/199.13 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] :
% 198.98/199.13 ( class_Fields_Ofield(T_c)
% 198.98/199.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.13 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c)
% 198.98/199.13 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.98/199.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 198.98/199.13 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.98/199.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) ) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_ex__least__nat__less,axiom,
% 198.98/199.13 ! [V_na_2,V_Pa_2] :
% 198.98/199.13 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 198.98/199.13 => ( hBOOL(hAPP(V_Pa_2,V_na_2))
% 198.98/199.13 => ? [B_k] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_na_2))
% 198.98/199.13 & ! [B_i] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 198.98/199.13 => ~ hBOOL(hAPP(V_Pa_2,B_i)) )
% 198.98/199.13 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_k),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_setsum__mono__zero__right,axiom,
% 198.98/199.13 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 198.98/199.13 ( class_Groups_Ocomm__monoid__add(T_c)
% 198.98/199.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 198.98/199.13 => ( ! [B_x] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 198.98/199.13 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 198.98/199.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_Ints__power,axiom,
% 198.98/199.13 ! [V_na_2,V_a_2,T_b] :
% 198.98/199.13 ( class_Rings_Oring__1(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_na_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__zero__left,axiom,
% 198.98/199.13 ! [V_a,T_a] :
% 198.98/199.13 ( class_Rings_Odivision__ring(T_a)
% 198.98/199.13 => 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) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__zero,axiom,
% 198.98/199.13 ! [V_a,T_a] :
% 198.98/199.13 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 198.98/199.13 => 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) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_add__divide__distrib,axiom,
% 198.98/199.13 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Odivision__ring(T_a)
% 198.98/199.13 => 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)) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_times__divide__eq__right,axiom,
% 198.98/199.13 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Odivision__ring(T_a)
% 198.98/199.13 => 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) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_diff__divide__distrib,axiom,
% 198.98/199.13 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Odivision__ring(T_a)
% 198.98/199.13 => 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)) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 198.98/199.13 ! [V_q,V_y,V_x,T_a] :
% 198.98/199.13 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.13 => 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)) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__1,axiom,
% 198.98/199.13 ! [V_a,T_a] :
% 198.98/199.13 ( class_Rings_Odivision__ring(T_a)
% 198.98/199.13 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_minus__divide__left,axiom,
% 198.98/199.13 ! [V_b,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Odivision__ring(T_a)
% 198.98/199.13 => 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) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 198.98/199.13 ! [V_q,V_p,V_x,T_a] :
% 198.98/199.13 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.13 => 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)) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 198.98/199.13 ! [V_x,T_a] :
% 198.98/199.13 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.13 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_eq__divide__imp,axiom,
% 198.98/199.13 ! [V_b,V_a,V_c,T_a] :
% 198.98/199.13 ( class_Rings_Odivision__ring(T_a)
% 198.98/199.13 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.13 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 198.98/199.13 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__eq__imp,axiom,
% 198.98/199.13 ! [V_a,V_b,V_c,T_a] :
% 198.98/199.13 ( class_Rings_Odivision__ring(T_a)
% 198.98/199.13 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.13 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 198.98/199.13 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_nonzero__divide__eq__eq,axiom,
% 198.98/199.13 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 198.98/199.13 ( class_Rings_Odivision__ring(T_b)
% 198.98/199.13 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.13 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 198.98/199.13 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_nonzero__eq__divide__eq,axiom,
% 198.98/199.13 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 198.98/199.13 ( class_Rings_Odivision__ring(T_b)
% 198.98/199.13 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.13 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 198.98/199.13 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__self__if,axiom,
% 198.98/199.13 ! [V_a,T_a] :
% 198.98/199.13 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 198.98/199.13 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.13 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 198.98/199.13 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.13 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__self,axiom,
% 198.98/199.13 ! [V_a,T_a] :
% 198.98/199.13 ( class_Rings_Odivision__ring(T_a)
% 198.98/199.13 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.13 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_right__inverse__eq,axiom,
% 198.98/199.13 ! [V_a_2,V_b_2,T_b] :
% 198.98/199.13 ( class_Rings_Odivision__ring(T_b)
% 198.98/199.13 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.13 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b)
% 198.98/199.13 <=> V_a_2 = V_b_2 ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_nonzero__minus__divide__right,axiom,
% 198.98/199.13 ! [V_a,V_b,T_a] :
% 198.98/199.13 ( class_Rings_Odivision__ring(T_a)
% 198.98/199.13 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.13 => 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)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_nonzero__minus__divide__divide,axiom,
% 198.98/199.13 ! [V_a,V_b,T_a] :
% 198.98/199.13 ( class_Rings_Odivision__ring(T_a)
% 198.98/199.13 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.13 => 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) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 198.98/199.13 ! [V_q,V_x,T_a] :
% 198.98/199.13 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.13 => 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)) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 198.98/199.13 ! [V_q,V_x,T_a] :
% 198.98/199.13 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.13 => 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)) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 198.98/199.13 ! [V_q,V_x,T_a] :
% 198.98/199.13 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.13 => 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)) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 198.98/199.13 ! [V_x,T_a] :
% 198.98/199.13 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.13 => 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) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 198.98/199.13 ! [V_q,V_p,V_x,T_a] :
% 198.98/199.13 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.13 => 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)) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_Ints__0,axiom,
% 198.98/199.13 ! [T_b] :
% 198.98/199.13 ( class_Rings_Oring__1(T_b)
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_Ints__add,axiom,
% 198.98/199.13 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.13 ( class_Rings_Oring__1(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_Ints__mult,axiom,
% 198.98/199.13 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.13 ( class_Rings_Oring__1(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_Ints__diff,axiom,
% 198.98/199.13 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.13 ( class_Rings_Oring__1(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_Ints__1,axiom,
% 198.98/199.13 ! [T_b] :
% 198.98/199.13 ( class_Rings_Oring__1(T_b)
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_Ints__minus,axiom,
% 198.98/199.13 ! [V_a_2,T_b] :
% 198.98/199.13 ( class_Rings_Oring__1(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__eq__if,axiom,
% 198.98/199.13 ! [V_p,V_m] :
% 198.98/199.13 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.13 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 198.98/199.13 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.13 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_Ints__double__eq__0__iff,axiom,
% 198.98/199.13 ! [V_a_2,T_b] :
% 198.98/199.13 ( class_Int_Oring__char__0(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 198.98/199.13 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.13 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_Ints__odd__nonzero,axiom,
% 198.98/199.13 ! [V_a_2,T_b] :
% 198.98/199.13 ( class_Int_Oring__char__0(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 198.98/199.13 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)),V_a_2) != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__strict__mono,axiom,
% 198.98/199.13 ! [V_n,V_b,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 198.98/199.13 => 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))) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__diff,axiom,
% 198.98/199.13 ! [V_m,V_n,V_a,T_a] :
% 198.98/199.13 ( class_Fields_Ofield(T_a)
% 198.98/199.13 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 198.98/199.13 => 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)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_one__less__power,axiom,
% 198.98/199.13 ! [V_n,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__le__imp__le__exp,axiom,
% 198.98/199.13 ! [V_n,V_m,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 198.98/199.13 => ( 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)))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__increasing__iff,axiom,
% 198.98/199.13 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_y_2)))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__decreasing,axiom,
% 198.98/199.13 ! [V_a,V_N,V_n,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 198.98/199.13 => 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))) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__strict__decreasing,axiom,
% 198.98/199.13 ! [V_a,V_N,V_n,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 198.98/199.13 => 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))) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zpower__zadd__distrib,axiom,
% 198.98/199.13 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_z)) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zpower__zpower,axiom,
% 198.98/199.13 ! [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)) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_field__power__not__zero,axiom,
% 198.98/199.13 ! [V_n,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 198.98/199.13 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.13 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__commutes,axiom,
% 198.98/199.13 ! [V_n,V_a,T_a] :
% 198.98/199.13 ( class_Groups_Omonoid__mult(T_a)
% 198.98/199.13 => 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)) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__mult__distrib,axiom,
% 198.98/199.13 ! [V_n,V_b,V_a,T_a] :
% 198.98/199.13 ( class_Groups_Ocomm__monoid__mult(T_a)
% 198.98/199.13 => 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)) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__one,axiom,
% 198.98/199.13 ! [V_n,T_a] :
% 198.98/199.13 ( class_Groups_Omonoid__mult(T_a)
% 198.98/199.13 => 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) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__mult,axiom,
% 198.98/199.13 ! [V_n,V_m,V_a,T_a] :
% 198.98/199.13 ( class_Groups_Omonoid__mult(T_a)
% 198.98/199.13 => 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) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__divide,axiom,
% 198.98/199.13 ! [V_n,V_b,V_a,T_a] :
% 198.98/199.13 ( class_Fields_Ofield__inverse__zero(T_a)
% 198.98/199.13 => 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)) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__one__right,axiom,
% 198.98/199.13 ! [V_a,T_a] :
% 198.98/199.13 ( class_Groups_Omonoid__mult(T_a)
% 198.98/199.13 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zero__le__power,axiom,
% 198.98/199.13 ! [V_n,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 => 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))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__mono,axiom,
% 198.98/199.13 ! [V_n,V_b,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zero__less__power,axiom,
% 198.98/199.13 ! [V_n,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 => 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))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__eq__0__iff,axiom,
% 198.98/199.13 ! [V_na_2,V_a_2,T_b] :
% 198.98/199.13 ( ( class_Power_Opower(T_b)
% 198.98/199.13 & class_Rings_Omult__zero(T_b)
% 198.98/199.13 & class_Rings_Ono__zero__divisors(T_b)
% 198.98/199.13 & class_Rings_Ozero__neq__one(T_b) )
% 198.98/199.13 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_na_2) = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.13 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.13 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_one__le__power,axiom,
% 198.98/199.13 ! [V_n,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 198.98/199.13 => 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))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__0__Suc,axiom,
% 198.98/199.13 ! [V_n,T_a] :
% 198.98/199.13 ( ( class_Power_Opower(T_a)
% 198.98/199.13 & class_Rings_Osemiring__0(T_a) )
% 198.98/199.13 => 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) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__inject__exp,axiom,
% 198.98/199.13 ! [V_na_2,V_m_2,V_a_2,T_b] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2))
% 198.98/199.13 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_na_2)
% 198.98/199.13 <=> V_m_2 = V_na_2 ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__Suc,axiom,
% 198.98/199.13 ! [V_n,V_a,T_a] :
% 198.98/199.13 ( class_Power_Opower(T_a)
% 198.98/199.13 => 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)) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__Suc2,axiom,
% 198.98/199.13 ! [V_n,V_a,T_a] :
% 198.98/199.13 ( class_Groups_Omonoid__mult(T_a)
% 198.98/199.13 => 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) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__0,axiom,
% 198.98/199.13 ! [V_a,T_a] :
% 198.98/199.13 ( class_Power_Opower(T_a)
% 198.98/199.13 => 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) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__add,axiom,
% 198.98/199.13 ! [V_n,V_m,V_a,T_a] :
% 198.98/199.13 ( class_Groups_Omonoid__mult(T_a)
% 198.98/199.13 => 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)) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_nonzero__power__divide,axiom,
% 198.98/199.13 ! [V_n,V_a,V_b,T_a] :
% 198.98/199.13 ( class_Fields_Ofield(T_a)
% 198.98/199.13 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.13 => 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)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__one__over,axiom,
% 198.98/199.13 ! [V_n,V_a,T_a] :
% 198.98/199.13 ( class_Fields_Ofield__inverse__zero(T_a)
% 198.98/199.13 => 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) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 198.98/199.13 ! [V_m_2,V_x_2] :
% 198.98/199.13 ( 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))
% 198.98/199.13 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.13 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__Suc__0,axiom,
% 198.98/199.13 ! [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)) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_nat__zero__less__power__iff,axiom,
% 198.98/199.13 ! [V_na_2,V_x_2] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_na_2)))
% 198.98/199.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 198.98/199.13 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_nat__power__less__imp__less,axiom,
% 198.98/199.13 ! [V_n,V_m,V_i] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 198.98/199.13 => ( 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)))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__less__imp__less__base,axiom,
% 198.98/199.13 ! [V_b,V_n,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => ( 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)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__inject__base,axiom,
% 198.98/199.13 ! [V_b,V_n,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => ( 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))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 198.98/199.13 => V_a = V_b ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__le__imp__le__base,axiom,
% 198.98/199.13 ! [V_b,V_n,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => ( 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))))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__gt1__lemma,axiom,
% 198.98/199.13 ! [V_n,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 198.98/199.13 => 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)))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__less__power__Suc,axiom,
% 198.98/199.13 ! [V_n,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 198.98/199.13 => 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)))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__0__left,axiom,
% 198.98/199.13 ! [V_n,T_a] :
% 198.98/199.13 ( ( class_Power_Opower(T_a)
% 198.98/199.13 & class_Rings_Osemiring__0(T_a) )
% 198.98/199.13 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.13 => 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) )
% 198.98/199.13 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.13 => 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) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__gt1,axiom,
% 198.98/199.13 ! [V_n,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 198.98/199.13 => 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)))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__strict__increasing,axiom,
% 198.98/199.13 ! [V_a,V_N,V_n,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__less__imp__less__exp,axiom,
% 198.98/199.13 ! [V_n,V_m,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 198.98/199.13 => ( 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)))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__strict__increasing__iff,axiom,
% 198.98/199.13 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_y_2)))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__increasing,axiom,
% 198.98/199.13 ! [V_a,V_N,V_n,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__minus,axiom,
% 198.98/199.13 ! [V_n,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Oring__1(T_a)
% 198.98/199.13 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_nat__one__le__power,axiom,
% 198.98/199.13 ! [V_n,V_i] :
% 198.98/199.13 ( 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))
% 198.98/199.13 => 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))) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__Suc__less,axiom,
% 198.98/199.13 ! [V_n,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__eq__imp__eq__base,axiom,
% 198.98/199.13 ! [V_b,V_n,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => ( 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)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 198.98/199.13 => V_a = V_b ) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__Suc__less__one,axiom,
% 198.98/199.13 ! [V_n,V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__left__mono__neg,axiom,
% 198.98/199.13 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => ( 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)))
% 198.98/199.13 => 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))) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__left__mono,axiom,
% 198.98/199.13 ! [V_c,V_a,V_b,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 198.98/199.13 => ( 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)))
% 198.98/199.13 => 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))) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_neg__divide__le__eq,axiom,
% 198.98/199.13 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_neg__le__divide__eq,axiom,
% 198.98/199.13 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__imp__le__div__pos,axiom,
% 198.98/199.13 ! [V_x,V_z,V_y,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 198.98/199.13 => ( 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))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__imp__div__pos__le,axiom,
% 198.98/199.13 ! [V_z,V_x,V_y,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 198.98/199.13 => ( 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)))
% 198.98/199.13 => 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)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zmult__zless__mono2,axiom,
% 198.98/199.13 ! [V_k,V_j,V_i] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 198.98/199.13 => 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))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_pos__zmult__eq__1__iff,axiom,
% 198.98/199.13 ! [V_na_2,V_m_2] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 198.98/199.13 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 198.98/199.13 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 198.98/199.13 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zmult__1,axiom,
% 198.98/199.13 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zmult__1__right,axiom,
% 198.98/199.13 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zdiff__zmult__distrib,axiom,
% 198.98/199.13 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z1),V_z2)),V_w) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zdiff__zmult__distrib2,axiom,
% 198.98/199.13 ! [V_z2,V_z1,V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z1),V_z2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zmult__commute,axiom,
% 198.98/199.13 ! [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) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zmult__assoc,axiom,
% 198.98/199.13 ! [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)) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zadd__zmult__distrib,axiom,
% 198.98/199.13 ! [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)) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zadd__zmult__distrib2,axiom,
% 198.98/199.13 ! [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)) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zmult__zminus,axiom,
% 198.98/199.13 ! [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)) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_times__divide__times__eq,axiom,
% 198.98/199.13 ! [V_w,V_z,V_y,V_x,T_a] :
% 198.98/199.13 ( class_Fields_Ofield__inverse__zero(T_a)
% 198.98/199.13 => 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)) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_minus__divide__divide,axiom,
% 198.98/199.13 ! [V_b,V_a,T_a] :
% 198.98/199.13 ( class_Fields_Ofield__inverse__zero(T_a)
% 198.98/199.13 => 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) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_minus__divide__right,axiom,
% 198.98/199.13 ! [V_b,V_a,T_a] :
% 198.98/199.13 ( class_Fields_Ofield__inverse__zero(T_a)
% 198.98/199.13 => 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)) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__right__mono__neg,axiom,
% 198.98/199.13 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__right__mono,axiom,
% 198.98/199.13 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__le__0__iff,axiom,
% 198.98/199.13 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.13 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 198.98/199.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 198.98/199.13 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zero__le__divide__iff,axiom,
% 198.98/199.13 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.13 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)))
% 198.98/199.13 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 198.98/199.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 198.98/199.13 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__strict__right__mono__neg,axiom,
% 198.98/199.13 ! [V_c,V_a,V_b,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__strict__right__mono,axiom,
% 198.98/199.13 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__neg__neg,axiom,
% 198.98/199.13 ! [V_y,V_x,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__neg__pos,axiom,
% 198.98/199.13 ! [V_y,V_x,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__pos__neg,axiom,
% 198.98/199.13 ! [V_y,V_x,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__pos__pos,axiom,
% 198.98/199.13 ! [V_y,V_x,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__less__0__iff,axiom,
% 198.98/199.13 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.13 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 198.98/199.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 198.98/199.13 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zero__less__divide__iff,axiom,
% 198.98/199.13 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.13 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)))
% 198.98/199.13 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 198.98/199.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 198.98/199.13 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_frac__eq__eq,axiom,
% 198.98/199.13 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] :
% 198.98/199.13 ( class_Fields_Ofield(T_b)
% 198.98/199.13 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.13 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.13 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_x_2),V_y_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_w_2),V_z_2)
% 198.98/199.13 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_z_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_y_2) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__divide__mult__cancel__left,axiom,
% 198.98/199.13 ! [V_b,V_a,V_c,T_a] :
% 198.98/199.13 ( class_Fields_Ofield__inverse__zero(T_a)
% 198.98/199.13 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.13 => 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) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__divide__mult__cancel__right,axiom,
% 198.98/199.13 ! [V_b,V_a,V_c,T_a] :
% 198.98/199.13 ( class_Fields_Ofield__inverse__zero(T_a)
% 198.98/199.13 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.13 => 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) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__eq__eq,axiom,
% 198.98/199.13 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 198.98/199.13 ( class_Fields_Ofield__inverse__zero(T_b)
% 198.98/199.13 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 198.98/199.13 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.13 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) )
% 198.98/199.13 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.13 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_eq__divide__eq,axiom,
% 198.98/199.13 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 198.98/199.13 ( class_Fields_Ofield__inverse__zero(T_b)
% 198.98/199.13 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 198.98/199.13 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.13 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 )
% 198.98/199.13 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.13 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__nonneg__pos,axiom,
% 198.98/199.13 ! [V_y,V_x,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__nonneg__neg,axiom,
% 198.98/199.13 ! [V_y,V_x,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_frac__less2,axiom,
% 198.98/199.13 ! [V_z,V_w,V_y,V_x,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 198.98/199.13 => 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))) ) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_frac__less,axiom,
% 198.98/199.13 ! [V_z,V_w,V_y,V_x,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 198.98/199.13 => 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))) ) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_frac__le,axiom,
% 198.98/199.13 ! [V_z,V_w,V_y,V_x,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 198.98/199.13 => 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))) ) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__nonpos__pos,axiom,
% 198.98/199.13 ! [V_y,V_x,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__nonpos__neg,axiom,
% 198.98/199.13 ! [V_y,V_x,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_less__divide__eq,axiom,
% 198.98/199.13 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 198.98/199.13 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 198.98/199.13 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 198.98/199.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 198.98/199.13 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 198.98/199.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__less__eq,axiom,
% 198.98/199.13 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 198.98/199.13 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 198.98/199.13 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 198.98/199.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 198.98/199.13 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 198.98/199.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_pos__less__divide__eq,axiom,
% 198.98/199.13 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_pos__divide__less__eq,axiom,
% 198.98/199.13 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__imp__div__pos__less,axiom,
% 198.98/199.13 ! [V_z,V_x,V_y,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 198.98/199.13 => ( 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)))
% 198.98/199.13 => 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)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_mult__imp__less__div__pos,axiom,
% 198.98/199.13 ! [V_x,V_z,V_y,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 198.98/199.13 => ( 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))
% 198.98/199.13 => 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))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_neg__less__divide__eq,axiom,
% 198.98/199.13 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_neg__divide__less__eq,axiom,
% 198.98/199.13 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__strict__left__mono,axiom,
% 198.98/199.13 ! [V_c,V_a,V_b,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 198.98/199.13 => ( 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)))
% 198.98/199.13 => 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))) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__strict__left__mono__neg,axiom,
% 198.98/199.13 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => ( 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)))
% 198.98/199.13 => 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))) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_add__frac__eq,axiom,
% 198.98/199.13 ! [V_w,V_x,V_z,V_y,T_a] :
% 198.98/199.13 ( class_Fields_Ofield(T_a)
% 198.98/199.13 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.13 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.13 => 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)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__add__eq__iff,axiom,
% 198.98/199.13 ! [V_y,V_x,V_z,T_a] :
% 198.98/199.13 ( class_Fields_Ofield(T_a)
% 198.98/199.13 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.13 => 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) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_add__frac__num,axiom,
% 198.98/199.13 ! [V_z,V_x,V_y,T_a] :
% 198.98/199.13 ( class_Fields_Ofield__inverse__zero(T_a)
% 198.98/199.13 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.13 => 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) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_add__divide__eq__iff,axiom,
% 198.98/199.13 ! [V_y,V_x,V_z,T_a] :
% 198.98/199.13 ( class_Fields_Ofield(T_a)
% 198.98/199.13 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.13 => 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) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_add__num__frac,axiom,
% 198.98/199.13 ! [V_x,V_z,V_y,T_a] :
% 198.98/199.13 ( class_Fields_Ofield__inverse__zero(T_a)
% 198.98/199.13 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.13 => 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) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_diff__frac__eq,axiom,
% 198.98/199.13 ! [V_w,V_x,V_z,V_y,T_a] :
% 198.98/199.13 ( class_Fields_Ofield(T_a)
% 198.98/199.13 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.13 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.13 => 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)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__diff__eq__iff,axiom,
% 198.98/199.13 ! [V_y,V_x,V_z,T_a] :
% 198.98/199.13 ( class_Fields_Ofield(T_a)
% 198.98/199.13 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.13 => 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) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_diff__divide__eq__iff,axiom,
% 198.98/199.13 ! [V_y,V_x,V_z,T_a] :
% 198.98/199.13 ( class_Fields_Ofield(T_a)
% 198.98/199.13 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.13 => 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) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_gt__half__sum,axiom,
% 198.98/199.13 ! [V_b,V_a,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 198.98/199.13 => 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)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_less__half__sum,axiom,
% 198.98/199.13 ! [V_b,V_a,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 198.98/199.13 => 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))))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_le__divide__eq,axiom,
% 198.98/199.13 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 198.98/199.13 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 198.98/199.13 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 198.98/199.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 198.98/199.13 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 198.98/199.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_divide__le__eq,axiom,
% 198.98/199.13 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 198.98/199.13 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 198.98/199.13 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 198.98/199.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 198.98/199.13 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 198.98/199.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_pos__le__divide__eq,axiom,
% 198.98/199.13 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_pos__divide__le__eq,axiom,
% 198.98/199.13 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 198.98/199.13 ( class_Fields_Olinordered__field(T_b)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_setprod__Un,axiom,
% 198.98/199.13 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 198.98/199.13 ( class_Fields_Ofield(T_c)
% 198.98/199.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.98/199.13 => ( ! [B_x] :
% 198.98/199.13 ( 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)))
% 198.98/199.13 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) )
% 198.98/199.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_power__power__power,axiom,
% 198.98/199.13 ! [T_b] :
% 198.98/199.13 ( class_Power_Opower(T_b)
% 198.98/199.13 => c_Power_Opower__class_Opower(T_b) = c_Power_Opower_Opower(T_b,c_Groups_Oone__class_Oone(T_b),c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_setsum__mono__zero__left,axiom,
% 198.98/199.13 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 198.98/199.13 ( class_Groups_Ocomm__monoid__add(T_c)
% 198.98/199.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 198.98/199.13 => ( ! [B_x] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 198.98/199.13 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 198.98/199.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) ) ) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_field__le__mult__one__interval,axiom,
% 198.98/199.13 ! [V_y,V_x,T_a] :
% 198.98/199.13 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 198.98/199.13 => ( ! [B_z] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 198.98/199.13 => 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)) ) )
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_sgn__1__neg,axiom,
% 198.98/199.13 ! [V_a_2,T_b] :
% 198.98/199.13 ( class_Rings_Olinordered__idom(T_b)
% 198.98/199.13 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b))
% 198.98/199.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_sgn__neg,axiom,
% 198.98/199.13 ! [V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__idom(T_a)
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.13 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_sgn__sgn,axiom,
% 198.98/199.13 ! [V_a,T_a] :
% 198.98/199.13 ( class_Rings_Olinordered__idom(T_a)
% 198.98/199.13 => 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) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zadd__zless__mono,axiom,
% 198.98/199.13 ! [V_z,V_z_H,V_w,V_w_H] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 198.98/199.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 198.98/199.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_H),V_z_H)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z))) ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zless__le,axiom,
% 198.98/199.13 ! [V_w_2,V_z_2] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 198.98/199.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 198.98/199.13 & V_z_2 != V_w_2 ) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zless__linear,axiom,
% 198.98/199.13 ! [V_y,V_x] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 198.98/199.13 | V_x = V_y
% 198.98/199.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zminus__zminus,axiom,
% 198.98/199.13 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zadd__strict__right__mono,axiom,
% 198.98/199.13 ! [V_k,V_j,V_i] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 198.98/199.13 => 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))) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zminus__zadd__distrib,axiom,
% 198.98/199.13 ! [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)) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_diff__int__def,axiom,
% 198.98/199.13 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_diff__int__def__symmetric,axiom,
% 198.98/199.13 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_w) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zadd__left__mono,axiom,
% 198.98/199.13 ! [V_k,V_j,V_i] :
% 198.98/199.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 198.98/199.13 => 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))) ) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zadd__assoc,axiom,
% 198.98/199.13 ! [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)) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zadd__left__commute,axiom,
% 198.98/199.13 ! [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)) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zadd__commute,axiom,
% 198.98/199.13 ! [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) ).
% 198.98/199.13
% 198.98/199.13 fof(fact_zless__add1__eq,axiom,
% 198.98/199.14 ! [V_z_2,V_w_2] :
% 198.98/199.14 ( 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))))
% 198.98/199.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 198.98/199.14 | V_w_2 = V_z_2 ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zle__diff1__eq,axiom,
% 198.98/199.14 ! [V_z_2,V_w_2] :
% 198.98/199.14 ( 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))))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zle__add1__eq__le,axiom,
% 198.98/199.14 ! [V_z_2,V_w_2] :
% 198.98/199.14 ( 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))))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_add1__zle__eq,axiom,
% 198.98/199.14 ! [V_z_2,V_w_2] :
% 198.98/199.14 ( 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))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zless__imp__add1__zle,axiom,
% 198.98/199.14 ! [V_z,V_w] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 198.98/199.14 => 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)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_le__imp__0__less,axiom,
% 198.98/199.14 ! [V_z] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 198.98/199.14 => 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))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_int__one__le__iff__zero__less,axiom,
% 198.98/199.14 ! [V_z_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zsgn__def,axiom,
% 198.98/199.14 ! [V_i] :
% 198.98/199.14 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.98/199.14 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 198.98/199.14 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.98/199.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 198.98/199.14 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 198.98/199.14 => 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)) ) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_int__0__less__1,axiom,
% 198.98/199.14 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))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_odd__less__0,axiom,
% 198.98/199.14 ! [V_z_2] :
% 198.98/199.14 ( 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)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_odd__nonzero,axiom,
% 198.98/199.14 ! [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) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_int__0__neq__1,axiom,
% 198.98/199.14 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zadd__0,axiom,
% 198.98/199.14 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zadd__0__right,axiom,
% 198.98/199.14 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zadd__zminus__inverse2,axiom,
% 198.98/199.14 ! [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) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_less__bin__lemma,axiom,
% 198.98/199.14 ! [V_l_2,V_k_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 198.98/199.14 <=> 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))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zminus__0,axiom,
% 198.98/199.14 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) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_sgn0,axiom,
% 198.98/199.14 ! [T_a] :
% 198.98/199.14 ( class_Groups_Osgn__if(T_a)
% 198.98/199.14 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_sgn__0__0,axiom,
% 198.98/199.14 ! [V_a_2,T_b] :
% 198.98/199.14 ( class_Rings_Olinordered__idom(T_b)
% 198.98/199.14 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.14 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_sgn__times,axiom,
% 198.98/199.14 ! [V_b,V_a,T_a] :
% 198.98/199.14 ( class_Rings_Olinordered__idom(T_a)
% 198.98/199.14 => 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)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_sgn__less,axiom,
% 198.98/199.14 ! [V_a_2,T_b] :
% 198.98/199.14 ( class_Rings_Olinordered__idom(T_b)
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Osgn__class_Osgn(T_b,V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_sgn__greater,axiom,
% 198.98/199.14 ! [V_a_2,T_b] :
% 198.98/199.14 ( class_Rings_Olinordered__idom(T_b)
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Groups_Osgn__class_Osgn(T_b,V_a_2)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_power_Opower_Opower__0,axiom,
% 198.98/199.14 ! [V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ).
% 198.98/199.14
% 198.98/199.14 fof(fact_power_Opower_Opower__Suc,axiom,
% 198.98/199.14 ! [V_na_2,V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(V_times_2,V_a_2),hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),V_na_2)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_sgn__1__pos,axiom,
% 198.98/199.14 ! [V_a_2,T_b] :
% 198.98/199.14 ( class_Rings_Olinordered__idom(T_b)
% 198.98/199.14 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b)
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_sgn__pos,axiom,
% 198.98/199.14 ! [V_a,T_a] :
% 198.98/199.14 ( class_Rings_Olinordered__idom(T_a)
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.14 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_sgn__if,axiom,
% 198.98/199.14 ! [V_x,T_a] :
% 198.98/199.14 ( class_Groups_Osgn__if(T_a)
% 198.98/199.14 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.14 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 198.98/199.14 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 198.98/199.14 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 198.98/199.14 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_self__quotient__aux2,axiom,
% 198.98/199.14 ! [V_q,V_r,V_a] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 198.98/199.14 => ( 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))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_self__quotient__aux1,axiom,
% 198.98/199.14 ! [V_q,V_r,V_a] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 198.98/199.14 => ( 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))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 198.98/199.14 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 198.98/199.14 ( 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)
% 198.98/199.14 => ( 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)))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_unique__quotient__lemma__neg,axiom,
% 198.98/199.14 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 198.98/199.14 ( 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)))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zdiv__mono2__lemma,axiom,
% 198.98/199.14 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 198.98/199.14 ( 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)
% 198.98/199.14 => ( 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)))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_unique__quotient__lemma,axiom,
% 198.98/199.14 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 198.98/199.14 ( 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)))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zle__refl,axiom,
% 198.98/199.14 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zle__linear,axiom,
% 198.98/199.14 ! [V_w,V_z] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 198.98/199.14 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zle__trans,axiom,
% 198.98/199.14 ! [V_k,V_j,V_i] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zle__antisym,axiom,
% 198.98/199.14 ! [V_w,V_z] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 198.98/199.14 => V_z = V_w ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_q__pos__lemma,axiom,
% 198.98/199.14 ! [V_r_H,V_q_H,V_b_H] :
% 198.98/199.14 ( 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)))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_q__neg__lemma,axiom,
% 198.98/199.14 ! [V_r_H,V_q_H,V_b_H] :
% 198.98/199.14 ( 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)))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 198.98/199.14 ! [V_n,V_x] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 198.98/199.14 => 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))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 198.98/199.14 ! [V_y,V_x] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 198.98/199.14 => 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))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 198.98/199.14 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))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 198.98/199.14 ! [V_y,V_x] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 198.98/199.14 => 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))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 198.98/199.14 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))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_int__power__div__base,axiom,
% 198.98/199.14 ! [V_k,V_m] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 198.98/199.14 => 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)))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zdiv__zero,axiom,
% 198.98/199.14 ! [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) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zdiv__zminus__zminus,axiom,
% 198.98/199.14 ! [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) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zdiv__zminus2,axiom,
% 198.98/199.14 ! [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) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__0,axiom,
% 198.98/199.14 ! [V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__by__0,axiom,
% 198.98/199.14 ! [V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__by__1,axiom,
% 198.98/199.14 ! [V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 198.98/199.14 ! [V_y,V_x] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 198.98/199.14 => 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))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__neg__pos__less0,axiom,
% 198.98/199.14 ! [V_b,V_a] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 198.98/199.14 => 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))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 198.98/199.14 ! [V_a_2,V_b_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.14 => ( 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)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 198.98/199.14 ! [V_a_2,V_b_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 198.98/199.14 => ( 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)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zdiv__self,axiom,
% 198.98/199.14 ! [V_a] :
% 198.98/199.14 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.98/199.14 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__mult__mult1__if,axiom,
% 198.98/199.14 ! [V_b,V_a,V_c,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.14 => 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) )
% 198.98/199.14 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.14 => 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) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__mult__self2__is__id,axiom,
% 198.98/199.14 ! [V_a,V_b,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.14 => 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 ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__mult__self1__is__id,axiom,
% 198.98/199.14 ! [V_a,V_b,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.14 => 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 ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__mult__mult2,axiom,
% 198.98/199.14 ! [V_b,V_a,V_c,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.14 => 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) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__mult__mult1,axiom,
% 198.98/199.14 ! [V_b,V_a,V_c,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.14 => 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) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__self,axiom,
% 198.98/199.14 ! [V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.14 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zdiv__mono1__neg,axiom,
% 198.98/199.14 ! [V_b,V_a_H,V_a] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.14 => 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))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zdiv__mono1,axiom,
% 198.98/199.14 ! [V_b,V_a_H,V_a] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 198.98/199.14 => 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))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__neg__neg__trivial,axiom,
% 198.98/199.14 ! [V_b,V_a] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 198.98/199.14 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zdiv__mono2__neg,axiom,
% 198.98/199.14 ! [V_b,V_b_H,V_a] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 198.98/199.14 => 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))) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__nonpos__pos__le0,axiom,
% 198.98/199.14 ! [V_b,V_a] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 198.98/199.14 => 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))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 198.98/199.14 ! [V_a_2,V_b_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.14 => ( 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)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__pos__pos__trivial,axiom,
% 198.98/199.14 ! [V_b,V_a] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 198.98/199.14 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__nonneg__neg__le0,axiom,
% 198.98/199.14 ! [V_b,V_a] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.14 => 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))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zdiv__mono2,axiom,
% 198.98/199.14 ! [V_b,V_b_H,V_a] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 198.98/199.14 => 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))) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 198.98/199.14 ! [V_b_2,V_a_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))
% 198.98/199.14 => ( 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)))
% 198.98/199.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2))
% 198.98/199.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 198.98/199.14 ! [V_i_2,V_k_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 198.98/199.14 => ( 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)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 198.98/199.14 ! [V_a_2,V_b_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 198.98/199.14 => ( 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)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zdiv__eq__0__iff,axiom,
% 198.98/199.14 ! [V_k_2,V_i_2] :
% 198.98/199.14 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.98/199.14 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.98/199.14 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 198.98/199.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 198.98/199.14 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_int__div__less__self,axiom,
% 198.98/199.14 ! [V_k,V_x] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 198.98/199.14 => 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)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zdiv__zmult2__eq,axiom,
% 198.98/199.14 ! [V_b,V_a,V_c] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__mult__self2,axiom,
% 198.98/199.14 ! [V_c,V_a,V_b,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.14 => 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)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__mult__self1,axiom,
% 198.98/199.14 ! [V_c,V_a,V_b,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.14 => 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)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__add__self1,axiom,
% 198.98/199.14 ! [V_a,V_b,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.14 => 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)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__add__self2,axiom,
% 198.98/199.14 ! [V_a,V_b,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.14 => 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)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_split__zdiv,axiom,
% 198.98/199.14 ! [V_k_2,V_na_2,V_Pa_2] :
% 198.98/199.14 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_na_2),V_k_2)))
% 198.98/199.14 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.98/199.14 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 198.98/199.14 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 198.98/199.14 => ! [B_i] :
% 198.98/199.14 ( ? [B_j] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 198.98/199.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 198.98/199.14 & V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 198.98/199.14 => hBOOL(hAPP(V_Pa_2,B_i)) ) )
% 198.98/199.14 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.14 => ! [B_i] :
% 198.98/199.14 ( ? [B_j] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 198.98/199.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.14 & V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 198.98/199.14 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_divmod__int__rel__div__eq,axiom,
% 198.98/199.14 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 198.98/199.14 ( 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)
% 198.98/199.14 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 198.98/199.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 198.98/199.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 198.98/199.14 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.98/199.14 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_z3div__def,axiom,
% 198.98/199.14 ! [V_k,V_l] :
% 198.98/199.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 198.98/199.14 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 198.98/199.14 => 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))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_tsub__def,axiom,
% 198.98/199.14 ! [V_x,V_y] :
% 198.98/199.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 198.98/199.14 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 198.98/199.14 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_split__pos__lemma,axiom,
% 198.98/199.14 ! [V_na_2,V_Pa_2,V_k_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_na_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_na_2,V_k_2)))
% 198.98/199.14 <=> ! [B_i,B_j] :
% 198.98/199.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 198.98/199.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 198.98/199.14 & V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 198.98/199.14 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_split__neg__lemma,axiom,
% 198.98/199.14 ! [V_na_2,V_Pa_2,V_k_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_na_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_na_2,V_k_2)))
% 198.98/199.14 <=> ! [B_i,B_j] :
% 198.98/199.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 198.98/199.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.14 & V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 198.98/199.14 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Inter__subset,axiom,
% 198.98/199.14 ! [V_B_2,V_A_2,T_b] :
% 198.98/199.14 ( ! [B_X] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) )
% 198.98/199.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_setprod__pos__nat,axiom,
% 198.98/199.14 ! [V_f_2,V_S_2,T_b] :
% 198.98/199.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 198.98/199.14 => ( ! [B_x] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 198.98/199.14 => 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))) )
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__mod__trivial,axiom,
% 198.98/199.14 ! [V_b,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__self,axiom,
% 198.98/199.14 ! [V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__by__0,axiom,
% 198.98/199.14 ! [V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__0,axiom,
% 198.98/199.14 ! [V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__add__self2,axiom,
% 198.98/199.14 ! [V_b,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__add__self1,axiom,
% 198.98/199.14 ! [V_a,V_b,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__add__right__eq,axiom,
% 198.98/199.14 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__add__left__eq,axiom,
% 198.98/199.14 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__add__eq,axiom,
% 198.98/199.14 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmod__simps_I2_J,axiom,
% 198.98/199.14 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmod__simps_I1_J,axiom,
% 198.98/199.14 ! [V_b,V_c,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__add__cong,axiom,
% 198.98/199.14 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 198.98/199.14 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 198.98/199.14 => 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) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__mult__right__eq,axiom,
% 198.98/199.14 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__mult__left__eq,axiom,
% 198.98/199.14 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__mult__eq,axiom,
% 198.98/199.14 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__mult__mult1,axiom,
% 198.98/199.14 ! [V_b,V_a,V_c,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__mult__mult2,axiom,
% 198.98/199.14 ! [V_b,V_c,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmod__simps_I4_J,axiom,
% 198.98/199.14 ! [V_b,V_c,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__mult__cong,axiom,
% 198.98/199.14 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 198.98/199.14 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 198.98/199.14 => 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) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__diff__cong,axiom,
% 198.98/199.14 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Oring__div(T_a)
% 198.98/199.14 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 198.98/199.14 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 198.98/199.14 => 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) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__diff__eq,axiom,
% 198.98/199.14 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Oring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__diff__left__eq,axiom,
% 198.98/199.14 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Oring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__diff__right__eq,axiom,
% 198.98/199.14 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Oring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__minus__eq,axiom,
% 198.98/199.14 ! [V_b,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Oring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__minus__cong,axiom,
% 198.98/199.14 ! [V_a_H,V_b,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Oring__div(T_a)
% 198.98/199.14 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 198.98/199.14 => 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) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__le__mono,axiom,
% 198.98/199.14 ! [V_k,V_n,V_m] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 198.98/199.14 => 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))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__le__dividend,axiom,
% 198.98/199.14 ! [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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__mult2__eq,axiom,
% 198.98/199.14 ! [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) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmod__self,axiom,
% 198.98/199.14 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmod__zero,axiom,
% 198.98/199.14 ! [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) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmod__zmult1__eq,axiom,
% 198.98/199.14 ! [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) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmod__simps_I3_J,axiom,
% 198.98/199.14 ! [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) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zdiff__zmod__left,axiom,
% 198.98/199.14 ! [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) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zdiff__zmod__right,axiom,
% 198.98/199.14 ! [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) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmod__zminus2,axiom,
% 198.98/199.14 ! [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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmod__zminus__zminus,axiom,
% 198.98/199.14 ! [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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zminus__zmod,axiom,
% 198.98/199.14 ! [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) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zpower__zmod,axiom,
% 198.98/199.14 ! [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) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__mult__self1__is__0,axiom,
% 198.98/199.14 ! [V_a,V_b,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__mult__self2__is__0,axiom,
% 198.98/199.14 ! [V_b,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__mult__self2,axiom,
% 198.98/199.14 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__mult__self1,axiom,
% 198.98/199.14 ! [V_b,V_c,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__by__1,axiom,
% 198.98/199.14 ! [V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__div__trivial,axiom,
% 198.98/199.14 ! [V_b,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__1,axiom,
% 198.98/199.14 ! [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 ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__less,axiom,
% 198.98/199.14 ! [V_n,V_m] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 198.98/199.14 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_nat__mult__div__cancel__disj,axiom,
% 198.98/199.14 ! [V_n,V_m,V_k] :
% 198.98/199.14 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.14 => 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) )
% 198.98/199.14 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.14 => 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) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 198.98/199.14 ! [V_y,V_x] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 198.98/199.14 => 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))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmod__le__nonneg__dividend,axiom,
% 198.98/199.14 ! [V_k,V_m] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 198.98/199.14 => 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)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_pos__mod__bound,axiom,
% 198.98/199.14 ! [V_a,V_b] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 198.98/199.14 => 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)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_neg__mod__bound,axiom,
% 198.98/199.14 ! [V_a,V_b] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.14 => 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))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmod__eq__0__iff,axiom,
% 198.98/199.14 ! [V_d_2,V_m_2] :
% 198.98/199.14 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.98/199.14 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmod__zminus2__not__zero,axiom,
% 198.98/199.14 ! [V_l,V_k] :
% 198.98/199.14 ( 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)
% 198.98/199.14 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmod__zminus1__not__zero,axiom,
% 198.98/199.14 ! [V_l,V_k] :
% 198.98/199.14 ( 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)
% 198.98/199.14 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_DIVISION__BY__ZERO,axiom,
% 198.98/199.14 ! [V_a] :
% 198.98/199.14 ( 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)
% 198.98/199.14 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmod__zdiv__trivial,axiom,
% 198.98/199.14 ! [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) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zdiv__zadd1__eq,axiom,
% 198.98/199.14 ! [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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 198.98/199.14 ! [V_b,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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 ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__div__equality2,axiom,
% 198.98/199.14 ! [V_a,V_b,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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 ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__div__equality,axiom,
% 198.98/199.14 ! [V_b,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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 ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__mod__equality2,axiom,
% 198.98/199.14 ! [V_c,V_a,V_b,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__mod__equality,axiom,
% 198.98/199.14 ! [V_c,V_b,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__le__mono2,axiom,
% 198.98/199.14 ! [V_k,V_n,V_m] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 198.98/199.14 => 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))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__mult__self1__is__m,axiom,
% 198.98/199.14 ! [V_m,V_n] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 198.98/199.14 => 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 ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__mult__self__is__m,axiom,
% 198.98/199.14 ! [V_m,V_n] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 198.98/199.14 => 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 ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_nat__mult__div__cancel1,axiom,
% 198.98/199.14 ! [V_n,V_m,V_k] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__less__dividend,axiom,
% 198.98/199.14 ! [V_m,V_n] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 198.98/199.14 => 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)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_pos__mod__sign,axiom,
% 198.98/199.14 ! [V_a,V_b] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 198.98/199.14 => 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))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_pos__mod__conj,axiom,
% 198.98/199.14 ! [V_a,V_b] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 198.98/199.14 => ( 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)))
% 198.98/199.14 & 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)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__pos__pos__trivial,axiom,
% 198.98/199.14 ! [V_b,V_a] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 198.98/199.14 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_neg__mod__sign,axiom,
% 198.98/199.14 ! [V_a,V_b] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.14 => 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))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_neg__mod__conj,axiom,
% 198.98/199.14 ! [V_a,V_b] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.14 => ( 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)))
% 198.98/199.14 & 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))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__neg__neg__trivial,axiom,
% 198.98/199.14 ! [V_b,V_a] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 198.98/199.14 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmod__zminus1__eq__if,axiom,
% 198.98/199.14 ! [V_b,V_a] :
% 198.98/199.14 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.98/199.14 => 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) )
% 198.98/199.14 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.98/199.14 => 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)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmod__zminus2__eq__if,axiom,
% 198.98/199.14 ! [V_b,V_a] :
% 198.98/199.14 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.98/199.14 => 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) )
% 198.98/199.14 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.98/199.14 => 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) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zdiv__zmod__equality2,axiom,
% 198.98/199.14 ! [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) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zdiv__zmod__equality,axiom,
% 198.98/199.14 ! [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) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zdiv__zmult1__eq,axiom,
% 198.98/199.14 ! [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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmod__zdiv__equality,axiom,
% 198.98/199.14 ! [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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmod__zdiv__equality_H,axiom,
% 198.98/199.14 ! [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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmult__div__cancel,axiom,
% 198.98/199.14 ! [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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__if,axiom,
% 198.98/199.14 ! [V_m,V_n] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 198.98/199.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 198.98/199.14 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 198.98/199.14 => 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)) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__geq,axiom,
% 198.98/199.14 ! [V_m,V_n] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 198.98/199.14 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 198.98/199.14 => 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)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_split__div,axiom,
% 198.98/199.14 ! [V_k_2,V_na_2,V_Pa_2] :
% 198.98/199.14 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_na_2),V_k_2)))
% 198.98/199.14 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.14 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 198.98/199.14 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.14 => ! [B_i,B_j] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 198.98/199.14 => ( V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j)
% 198.98/199.14 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__pos__neg__trivial,axiom,
% 198.98/199.14 ! [V_b,V_a] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 198.98/199.14 => ( 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)))
% 198.98/199.14 => 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) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_le__div__geq,axiom,
% 198.98/199.14 ! [V_m,V_n] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 198.98/199.14 => 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)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_split__div__lemma,axiom,
% 198.98/199.14 ! [V_m_2,V_q_2,V_na_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 198.98/199.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),V_q_2)),V_m_2))
% 198.98/199.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_q_2)))) )
% 198.98/199.14 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_split__div_H,axiom,
% 198.98/199.14 ! [V_na_2,V_m_2,V_Pa_2] :
% 198.98/199.14 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2)))
% 198.98/199.14 <=> ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.14 & hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 198.98/199.14 | ? [B_q] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),B_q)),V_m_2))
% 198.98/199.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,B_q))))
% 198.98/199.14 & hBOOL(hAPP(V_Pa_2,B_q)) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 198.98/199.14 ! [V_y,V_x] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 198.98/199.14 => 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))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_divmod__int__rel__mod__eq,axiom,
% 198.98/199.14 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 198.98/199.14 ( 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)
% 198.98/199.14 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 198.98/199.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 198.98/199.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 198.98/199.14 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.98/199.14 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmult2__lemma__aux2,axiom,
% 198.98/199.14 ! [V_q,V_r,V_b,V_c] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.14 => 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))) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmult2__lemma__aux1,axiom,
% 198.98/199.14 ! [V_q,V_r,V_b,V_c] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.14 => 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))) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmult2__lemma__aux4,axiom,
% 198.98/199.14 ! [V_q,V_b,V_r,V_c] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 198.98/199.14 => 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))) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmult2__lemma__aux3,axiom,
% 198.98/199.14 ! [V_q,V_b,V_r,V_c] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 198.98/199.14 => 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))) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_split__zmod,axiom,
% 198.98/199.14 ! [V_k_2,V_na_2,V_Pa_2] :
% 198.98/199.14 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_na_2,V_k_2)))
% 198.98/199.14 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.98/199.14 => hBOOL(hAPP(V_Pa_2,V_na_2)) )
% 198.98/199.14 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 198.98/199.14 => ! [B_i,B_j] :
% 198.98/199.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 198.98/199.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 198.98/199.14 & V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 198.98/199.14 => hBOOL(hAPP(V_Pa_2,B_j)) ) )
% 198.98/199.14 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.14 => ! [B_i,B_j] :
% 198.98/199.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 198.98/199.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.14 & V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 198.98/199.14 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmod__zmult2__eq,axiom,
% 198.98/199.14 ! [V_b,V_a,V_c] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 198.98/199.14 => 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)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_tsub__eq,axiom,
% 198.98/199.14 ! [V_x,V_y] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 198.98/199.14 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zdiv__zminus2__eq__if,axiom,
% 198.98/199.14 ! [V_a,V_b] :
% 198.98/199.14 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.98/199.14 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.98/199.14 => 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)) )
% 198.98/199.14 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.98/199.14 => 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)) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zdiv__zminus1__eq__if,axiom,
% 198.98/199.14 ! [V_a,V_b] :
% 198.98/199.14 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.98/199.14 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.98/199.14 => 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)) )
% 198.98/199.14 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.98/199.14 => 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)) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_z3mod__def,axiom,
% 198.98/199.14 ! [V_k,V_l] :
% 198.98/199.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 198.98/199.14 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 198.98/199.14 => 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)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_setsum__SucD,axiom,
% 198.98/199.14 ! [V_na_2,V_A_2,V_f_2,T_b] :
% 198.98/199.14 ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,V_na_2)
% 198.98/199.14 => ? [B_x] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.98/199.14 & 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))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_card_Oneutral,axiom,
% 198.98/199.14 ! [V_A_2,T_b] :
% 198.98/199.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.98/199.14 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.98/199.14 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 198.98/199.14 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_InterI,axiom,
% 198.98/199.14 ! [V_A_2,V_C_2,T_b] :
% 198.98/199.14 ( ! [B_X] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) )
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_expand__Suc,axiom,
% 198.98/199.14 ! [V_v] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)))
% 198.98/199.14 => 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))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__div__decomp,axiom,
% 198.98/199.14 ! [V_b,V_a,T_a] :
% 198.98/199.14 ( class_Divides_Osemiring__div(T_a)
% 198.98/199.14 => 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)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_eq__number__of,axiom,
% 198.98/199.14 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.14 ( ( class_Int_Onumber__ring(T_b)
% 198.98/199.14 & class_Int_Oring__char__0(T_b) )
% 198.98/199.14 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 198.98/199.14 <=> V_x_2 = V_y_2 ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_number__of__reorient,axiom,
% 198.98/199.14 ! [V_x_2,V_w_2,T_b] :
% 198.98/199.14 ( class_Int_Onumber(T_b)
% 198.98/199.14 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2
% 198.98/199.14 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 198.98/199.14 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__less,axiom,
% 198.98/199.14 ! [V_n,V_m] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 198.98/199.14 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__add1__eq,axiom,
% 198.98/199.14 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_c)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_c)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_b,V_c))),V_c)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__less__eq__dividend,axiom,
% 198.98/199.14 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_m)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__mult__distrib,axiom,
% 198.98/199.14 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_k) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__mult__distrib2,axiom,
% 198.98/199.14 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_le__number__of__eq__not__less,axiom,
% 198.98/199.14 ! [V_w_2,V_v_2,T_b] :
% 198.98/199.14 ( ( class_Int_Onumber(T_b)
% 198.98/199.14 & class_Orderings_Olinorder(T_b) )
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 198.98/199.14 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_left__distrib__number__of,axiom,
% 198.98/199.14 ! [V_v,V_b,V_a,T_b] :
% 198.98/199.14 ( ( class_Int_Onumber(T_b)
% 198.98/199.14 & class_Rings_Osemiring(T_b) )
% 198.98/199.14 => 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))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_right__distrib__number__of,axiom,
% 198.98/199.14 ! [V_c,V_b,V_v,T_b] :
% 198.98/199.14 ( ( class_Int_Onumber(T_b)
% 198.98/199.14 & class_Rings_Osemiring(T_b) )
% 198.98/199.14 => 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)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_left__diff__distrib__number__of,axiom,
% 198.98/199.14 ! [V_v,V_b,V_a,T_b] :
% 198.98/199.14 ( ( class_Int_Onumber(T_b)
% 198.98/199.14 & class_Rings_Oring(T_b) )
% 198.98/199.14 => 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))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_right__diff__distrib__number__of,axiom,
% 198.98/199.14 ! [V_c,V_b,V_v,T_b] :
% 198.98/199.14 ( ( class_Int_Onumber(T_b)
% 198.98/199.14 & class_Rings_Oring(T_b) )
% 198.98/199.14 => 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)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__Suc,axiom,
% 198.98/199.14 ! [V_n,V_m] :
% 198.98/199.14 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 198.98/199.14 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 198.98/199.14 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 198.98/199.14 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__1,axiom,
% 198.98/199.14 ! [V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__less__divisor,axiom,
% 198.98/199.14 ! [V_m,V_n] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_le__number__of,axiom,
% 198.98/199.14 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.14 ( ( class_Int_Onumber__ring(T_b)
% 198.98/199.14 & class_Rings_Olinordered__idom(T_b) )
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_less__number__of,axiom,
% 198.98/199.14 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.14 ( ( class_Int_Onumber__ring(T_b)
% 198.98/199.14 & class_Rings_Olinordered__idom(T_b) )
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_min__number__of,axiom,
% 198.98/199.14 ! [V_v,V_u,T_b] :
% 198.98/199.14 ( ( class_Int_Onumber(T_b)
% 198.98/199.14 & class_Orderings_Oord(T_b) )
% 198.98/199.14 => ( ( 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)))
% 198.98/199.14 => 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) )
% 198.98/199.14 & ( ~ 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)))
% 198.98/199.14 => 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) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_max__number__of,axiom,
% 198.98/199.14 ! [V_v,V_u,T_b] :
% 198.98/199.14 ( ( class_Int_Onumber(T_b)
% 198.98/199.14 & class_Orderings_Oord(T_b) )
% 198.98/199.14 => ( ( 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)))
% 198.98/199.14 => 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) )
% 198.98/199.14 & ( ~ 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)))
% 198.98/199.14 => 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) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_number__of__add,axiom,
% 198.98/199.14 ! [V_w,V_v,T_a] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_a)
% 198.98/199.14 => 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)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_add__number__of__eq,axiom,
% 198.98/199.14 ! [V_w,V_v,T_a] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_a)
% 198.98/199.14 => 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)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_add__number__of__left,axiom,
% 198.98/199.14 ! [V_z,V_w,V_v,T_a] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__eq__0__iff,axiom,
% 198.98/199.14 ! [V_d_2,V_m_2] :
% 198.98/199.14 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.14 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__if,axiom,
% 198.98/199.14 ! [V_n,V_m] :
% 198.98/199.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 198.98/199.14 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 198.98/199.14 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__geq,axiom,
% 198.98/199.14 ! [V_n,V_m] :
% 198.98/199.14 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 198.98/199.14 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_number__of__mult,axiom,
% 198.98/199.14 ! [V_w,V_v,T_a] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_a)
% 198.98/199.14 => 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)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_arith__simps_I32_J,axiom,
% 198.98/199.14 ! [V_w,V_v,T_a] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_a)
% 198.98/199.14 => 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)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mult__number__of__left,axiom,
% 198.98/199.14 ! [V_z,V_w,V_v,T_a] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__mult__self3,axiom,
% 198.98/199.14 ! [V_m,V_n,V_k] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)),V_m),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__mult1__eq,axiom,
% 198.98/199.14 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_b,V_c))),V_c)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__mult2__eq,axiom,
% 198.98/199.14 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b),V_c))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_b)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_le__mod__geq,axiom,
% 198.98/199.14 ! [V_m,V_n] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 198.98/199.14 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__mod__equality_H,axiom,
% 198.98/199.14 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mult__div__cancel,axiom,
% 198.98/199.14 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Divides_Omod__div__equality_H,axiom,
% 198.98/199.14 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_n)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_number__of__diff,axiom,
% 198.98/199.14 ! [V_w,V_v,T_a] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_a)
% 198.98/199.14 => 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)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_arith__simps_I30_J,axiom,
% 198.98/199.14 ! [V_w,T_a] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_a)
% 198.98/199.14 => 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)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_number__of__minus,axiom,
% 198.98/199.14 ! [V_w,T_a] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_a)
% 198.98/199.14 => 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)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Ints__number__of,axiom,
% 198.98/199.14 ! [V_w_2,T_b] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_b)
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__le__divisor,axiom,
% 198.98/199.14 ! [V_m,V_n] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_divide__eq__eq__number__of1,axiom,
% 198.98/199.14 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 198.98/199.14 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 198.98/199.14 & class_Int_Onumber(T_b) )
% 198.98/199.14 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) = V_a_2
% 198.98/199.14 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.14 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) )
% 198.98/199.14 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.14 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_divide__eq__eq__number__of,axiom,
% 198.98/199.14 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 198.98/199.14 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 198.98/199.14 & class_Int_Onumber(T_b) )
% 198.98/199.14 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)
% 198.98/199.14 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.14 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2) )
% 198.98/199.14 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.14 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_eq__divide__eq__number__of,axiom,
% 198.98/199.14 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 198.98/199.14 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 198.98/199.14 & class_Int_Onumber(T_b) )
% 198.98/199.14 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 198.98/199.14 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2) = V_b_2 )
% 198.98/199.14 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.14 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_eq__divide__eq__number__of1,axiom,
% 198.98/199.14 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 198.98/199.14 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 198.98/199.14 & class_Int_Onumber(T_b) )
% 198.98/199.14 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))
% 198.98/199.14 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) = V_b_2 )
% 198.98/199.14 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.14 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_add__number__of__diff1,axiom,
% 198.98/199.14 ! [V_c,V_w,V_v,T_a] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__mult__self4,axiom,
% 198.98/199.14 ! [V_m,V_n,V_k] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)),V_m)),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_minus__number__of__mult,axiom,
% 198.98/199.14 ! [V_z,V_w,T_a] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_diff__number__of__eq,axiom,
% 198.98/199.14 ! [V_w,V_v,T_a] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_a)
% 198.98/199.14 => 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))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_less__divide__eq__number__of1,axiom,
% 198.98/199.14 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 198.98/199.14 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 198.98/199.14 & class_Int_Onumber(T_b) )
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))))
% 198.98/199.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 198.98/199.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_less__divide__eq__number__of,axiom,
% 198.98/199.14 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 198.98/199.14 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 198.98/199.14 & class_Int_Onumber(T_b) )
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 198.98/199.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 198.98/199.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_divide__less__eq__number__of,axiom,
% 198.98/199.14 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 198.98/199.14 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 198.98/199.14 & class_Int_Onumber(T_b) )
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 198.98/199.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 198.98/199.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) ) ) ) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_divide__less__eq__number__of1,axiom,
% 198.98/199.14 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 198.98/199.14 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 198.98/199.14 & class_Int_Onumber(T_b) )
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_a_2))
% 198.98/199.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 198.98/199.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_split__mod,axiom,
% 198.98/199.14 ! [V_k_2,V_na_2,V_Pa_2] :
% 198.98/199.14 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_na_2,V_k_2)))
% 198.98/199.14 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.14 => hBOOL(hAPP(V_Pa_2,V_na_2)) )
% 198.98/199.14 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.14 => ! [B_i,B_j] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 198.98/199.14 => ( V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j)
% 198.98/199.14 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__lemma,axiom,
% 198.98/199.14 ! [V_q,V_b,V_r,V_c] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_q,V_c))),V_r)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_add__number__of__diff2,axiom,
% 198.98/199.14 ! [V_w,V_c,V_v,T_a] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Suc__times__mod__eq,axiom,
% 198.98/199.14 ! [V_m,V_k] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 198.98/199.14 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),V_k) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_le__divide__eq__number__of1,axiom,
% 198.98/199.14 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 198.98/199.14 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 198.98/199.14 & class_Int_Onumber(T_b) )
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))))
% 198.98/199.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 198.98/199.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_le__divide__eq__number__of,axiom,
% 198.98/199.14 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 198.98/199.14 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 198.98/199.14 & class_Int_Onumber(T_b) )
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 198.98/199.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 198.98/199.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_divide__le__eq__number__of,axiom,
% 198.98/199.14 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 198.98/199.14 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 198.98/199.14 & class_Int_Onumber(T_b) )
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 198.98/199.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 198.98/199.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) ) ) ) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_divide__le__eq__number__of1,axiom,
% 198.98/199.14 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 198.98/199.14 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 198.98/199.14 & class_Int_Onumber(T_b) )
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_a_2))
% 198.98/199.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 198.98/199.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_eq__number__of__eq,axiom,
% 198.98/199.14 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_b)
% 198.98/199.14 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 198.98/199.14 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_nat__number__of__mult__left,axiom,
% 198.98/199.14 ! [V_k,V_v_H,V_v] :
% 198.98/199.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 198.98/199.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 198.98/199.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_v_H))),V_k) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mult__nat__number__of,axiom,
% 198.98/199.14 ! [V_v_H,V_v] :
% 198.98/199.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 198.98/199.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 198.98/199.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_v_H)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_of__nat__number__of__lemma,axiom,
% 198.98/199.14 ! [V_v,T_a] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_a)
% 198.98/199.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 198.98/199.14 => 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) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 198.98/199.14 => 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) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_number__of__pred,axiom,
% 198.98/199.14 ! [V_w,T_a] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_a)
% 198.98/199.14 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_Opred(V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_setprod__pos,axiom,
% 198.98/199.14 ! [V_f_2,V_A_2,T_b,T_c] :
% 198.98/199.14 ( class_Rings_Olinordered__semidom(T_c)
% 198.98/199.14 => ( ! [B_x] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_negative__zle,axiom,
% 198.98/199.14 ! [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))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_negative__zless,axiom,
% 198.98/199.14 ! [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))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_number__of__is__id,axiom,
% 198.98/199.14 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 198.98/199.14
% 198.98/199.14 fof(fact_iszero__Numeral0,axiom,
% 198.98/199.14 ! [T_a] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_a)
% 198.98/199.14 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zero__is__num__zero,axiom,
% 198.98/199.14 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_of__nat__eq__iff,axiom,
% 198.98/199.14 ! [V_na_2,V_m_2,T_b] :
% 198.98/199.14 ( class_Nat_Osemiring__char__0(T_b)
% 198.98/199.14 => ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)
% 198.98/199.14 <=> V_m_2 = V_na_2 ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_less__eq__number__of__int__code,axiom,
% 198.98/199.14 ! [V_l_2,V_k_2] :
% 198.98/199.14 ( 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)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_less__number__of__int__code,axiom,
% 198.98/199.14 ! [V_l_2,V_k_2] :
% 198.98/199.14 ( 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)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_plus__numeral__code_I9_J,axiom,
% 198.98/199.14 ! [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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 198.98/199.14 ! [V_y,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_y)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmod__int,axiom,
% 198.98/199.14 ! [V_b,V_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_b)) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_b)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Pls__def,axiom,
% 198.98/199.14 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_times__numeral__code_I5_J,axiom,
% 198.98/199.14 ! [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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_rel__simps_I19_J,axiom,
% 198.98/199.14 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_rel__simps_I2_J,axiom,
% 198.98/199.14 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_add__Pls,axiom,
% 198.98/199.14 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 198.98/199.14
% 198.98/199.14 fof(fact_add__Pls__right,axiom,
% 198.98/199.14 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 198.98/199.14
% 198.98/199.14 fof(fact_minus__numeral__code_I5_J,axiom,
% 198.98/199.14 ! [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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mult__Pls,axiom,
% 198.98/199.14 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 198.98/199.14
% 198.98/199.14 fof(fact_diff__bin__simps_I1_J,axiom,
% 198.98/199.14 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 198.98/199.14
% 198.98/199.14 fof(fact_minus__Pls,axiom,
% 198.98/199.14 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 198.98/199.14
% 198.98/199.14 fof(fact_iszero__def,axiom,
% 198.98/199.14 ! [V_z_2,T_b] :
% 198.98/199.14 ( class_Rings_Osemiring__1(T_b)
% 198.98/199.14 => ( c_Int_Oiszero(T_b,V_z_2)
% 198.98/199.14 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_iszero__0,axiom,
% 198.98/199.14 ! [T_a] :
% 198.98/199.14 ( class_Rings_Osemiring__1(T_a)
% 198.98/199.14 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_not__iszero__1,axiom,
% 198.98/199.14 ! [T_a] :
% 198.98/199.14 ( class_Rings_Osemiring__1(T_a)
% 198.98/199.14 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_int__0,axiom,
% 198.98/199.14 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) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_int__eq__0__conv,axiom,
% 198.98/199.14 ! [V_na_2] :
% 198.98/199.14 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.98/199.14 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 198.98/199.14 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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zero__zle__int,axiom,
% 198.98/199.14 ! [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))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 198.98/199.14 ! [V_Pa_2] :
% 198.98/199.14 ( ! [B_x] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 198.98/199.14 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 198.98/199.14 <=> ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 198.98/199.14 ! [V_Pa_2] :
% 198.98/199.14 ( ? [B_x] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 198.98/199.14 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 198.98/199.14 <=> ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 198.98/199.14 ! [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))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_int__less__0__conv,axiom,
% 198.98/199.14 ! [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))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zless__int,axiom,
% 198.98/199.14 ! [V_na_2,V_m_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 198.98/199.14 ! [V_y_2,V_x_2] :
% 198.98/199.14 ( 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)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zle__int,axiom,
% 198.98/199.14 ! [V_na_2,V_m_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 198.98/199.14 ! [V_y_2,V_x_2] :
% 198.98/199.14 ( 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)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zadd__int__left,axiom,
% 198.98/199.14 ! [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) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zadd__int,axiom,
% 198.98/199.14 ! [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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 198.98/199.14 ! [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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zle__iff__zadd,axiom,
% 198.98/199.14 ! [V_z_2,V_w_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 198.98/199.14 <=> ? [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)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zero__le__imp__of__nat,axiom,
% 198.98/199.14 ! [V_m,T_a] :
% 198.98/199.14 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.14 => 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))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_of__nat__0__le__iff,axiom,
% 198.98/199.14 ! [V_n,T_a] :
% 198.98/199.14 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.14 => 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))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_negative__eq__positive,axiom,
% 198.98/199.14 ! [V_m_2,V_na_2] :
% 198.98/199.14 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)
% 198.98/199.14 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.14 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_of__nat__less__0__iff,axiom,
% 198.98/199.14 ! [V_m,T_a] :
% 198.98/199.14 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.14 => ~ 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))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_semiring__norm_I112_J,axiom,
% 198.98/199.14 ! [T_a] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_a)
% 198.98/199.14 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_number__of__Pls,axiom,
% 198.98/199.14 ! [T_a] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_a)
% 198.98/199.14 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_not__int__zless__negative,axiom,
% 198.98/199.14 ! [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)))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmult__int,axiom,
% 198.98/199.14 ! [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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_int__mult,axiom,
% 198.98/199.14 ! [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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 198.98/199.14 ! [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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_add__numeral__0,axiom,
% 198.98/199.14 ! [V_a,T_a] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_a)
% 198.98/199.14 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)),V_a) = V_a ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_add__numeral__0__right,axiom,
% 198.98/199.14 ! [V_a,T_a] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_a)
% 198.98/199.14 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) = V_a ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_of__nat__0,axiom,
% 198.98/199.14 ! [T_a] :
% 198.98/199.14 ( class_Rings_Osemiring__1(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_of__nat__less__iff,axiom,
% 198.98/199.14 ! [V_na_2,V_m_2,T_b] :
% 198.98/199.14 ( class_Rings_Olinordered__semidom(T_b)
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_less__imp__of__nat__less,axiom,
% 198.98/199.14 ! [V_n,V_m,T_a] :
% 198.98/199.14 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 198.98/199.14 => 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))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_of__nat__less__imp__less,axiom,
% 198.98/199.14 ! [V_n,V_m,T_a] :
% 198.98/199.14 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.14 => ( 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)))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_int__1,axiom,
% 198.98/199.14 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) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 198.98/199.14 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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_of__nat__le__iff,axiom,
% 198.98/199.14 ! [V_na_2,V_m_2,T_b] :
% 198.98/199.14 ( class_Rings_Olinordered__semidom(T_b)
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_of__nat__add,axiom,
% 198.98/199.14 ! [V_n,V_m,T_a] :
% 198.98/199.14 ( class_Rings_Osemiring__1(T_a)
% 198.98/199.14 => 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)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_bin__less__0__simps_I1_J,axiom,
% 198.98/199.14 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_semiring__norm_I113_J,axiom,
% 198.98/199.14 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_nat__number__of__Pls,axiom,
% 198.98/199.14 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_of__nat__mult,axiom,
% 198.98/199.14 ! [V_n,V_m,T_a] :
% 198.98/199.14 ( class_Rings_Osemiring__1(T_a)
% 198.98/199.14 => 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)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 198.98/199.14 ! [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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zdiv__int,axiom,
% 198.98/199.14 ! [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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Suc__diff__number__of,axiom,
% 198.98/199.14 ! [V_m,V_v] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 198.98/199.14 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Opred(V_v))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_of__nat__1,axiom,
% 198.98/199.14 ! [T_a] :
% 198.98/199.14 ( class_Rings_Osemiring__1(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Ints__of__nat,axiom,
% 198.98/199.14 ! [V_na_2,T_b] :
% 198.98/199.14 ( class_Rings_Oring__1(T_b)
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_of__nat__power,axiom,
% 198.98/199.14 ! [V_n,V_m,T_a] :
% 198.98/199.14 ( class_Rings_Osemiring__1(T_a)
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zpower__int,axiom,
% 198.98/199.14 ! [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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_int__power,axiom,
% 198.98/199.14 ! [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) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 198.98/199.14 ! [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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_eq__special_I3_J,axiom,
% 198.98/199.14 ! [V_x_2,T_b] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_b)
% 198.98/199.14 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.14 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls)))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_eq__special_I1_J,axiom,
% 198.98/199.14 ! [V_y_2,T_b] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_b)
% 198.98/199.14 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 198.98/199.14 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 198.98/199.14 ! [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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_le__iff__pred__less,axiom,
% 198.98/199.14 ! [V_l_2,V_k_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_pred__def,axiom,
% 198.98/199.14 ! [V_k] : c_Int_Opred(V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_nat__number__of__diff__1,axiom,
% 198.98/199.14 ! [V_v] :
% 198.98/199.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 198.98/199.14 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 198.98/199.14 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Opred(V_v)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_int__le__0__conv,axiom,
% 198.98/199.14 ! [V_na_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.14 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_int__Suc0__eq__1,axiom,
% 198.98/199.14 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) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zless__iff__Suc__zadd,axiom,
% 198.98/199.14 ! [V_z_2,V_w_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 198.98/199.14 <=> ? [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))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_int__zle__neg,axiom,
% 198.98/199.14 ! [V_m_2,V_na_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))))
% 198.98/199.14 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.14 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_int__Suc,axiom,
% 198.98/199.14 ! [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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_negative__zle__0,axiom,
% 198.98/199.14 ! [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))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zdiff__int,axiom,
% 198.98/199.14 ! [V_m,V_n] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 198.98/199.14 => 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)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_of__nat__Suc,axiom,
% 198.98/199.14 ! [V_m,T_a] :
% 198.98/199.14 ( class_Rings_Osemiring__1(T_a)
% 198.98/199.14 => 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)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_divide__Numeral0,axiom,
% 198.98/199.14 ! [V_x,T_a] :
% 198.98/199.14 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 198.98/199.14 & class_Int_Onumber__ring(T_a) )
% 198.98/199.14 => 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_eq__number__of__0,axiom,
% 198.98/199.14 ! [V_v_2] :
% 198.98/199.14 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_eq__0__number__of,axiom,
% 198.98/199.14 ! [V_v_2] :
% 198.98/199.14 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_less__nat__number__of,axiom,
% 198.98/199.14 ! [V_v_H_2,V_v_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)))
% 198.98/199.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 198.98/199.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_of__nat__diff,axiom,
% 198.98/199.14 ! [V_m,V_n,T_a] :
% 198.98/199.14 ( class_Rings_Oring__1(T_a)
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 198.98/199.14 => 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)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_le__nat__number__of,axiom,
% 198.98/199.14 ! [V_v_H_2,V_v_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)))
% 198.98/199.14 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_minus__numeral__code_I6_J,axiom,
% 198.98/199.14 ! [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))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zero__less__int__conv,axiom,
% 198.98/199.14 ! [V_na_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zmult__zless__mono2__lemma,axiom,
% 198.98/199.14 ! [V_k,V_j,V_i] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 198.98/199.14 => 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))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_not__zle__0__negative,axiom,
% 198.98/199.14 ! [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))))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_negative__zless__0,axiom,
% 198.98/199.14 ! [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))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_le__special_I3_J,axiom,
% 198.98/199.14 ! [V_x_2,T_b] :
% 198.98/199.14 ( ( class_Int_Onumber__ring(T_b)
% 198.98/199.14 & class_Rings_Olinordered__idom(T_b) )
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_le__special_I1_J,axiom,
% 198.98/199.14 ! [V_y_2,T_b] :
% 198.98/199.14 ( ( class_Int_Onumber__ring(T_b)
% 198.98/199.14 & class_Rings_Olinordered__idom(T_b) )
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_less__special_I1_J,axiom,
% 198.98/199.14 ! [V_y_2,T_b] :
% 198.98/199.14 ( ( class_Int_Onumber__ring(T_b)
% 198.98/199.14 & class_Rings_Olinordered__idom(T_b) )
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_less__special_I3_J,axiom,
% 198.98/199.14 ! [V_x_2,T_b] :
% 198.98/199.14 ( ( class_Int_Onumber__ring(T_b)
% 198.98/199.14 & class_Rings_Olinordered__idom(T_b) )
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_of__nat__0__less__iff,axiom,
% 198.98/199.14 ! [V_na_2,T_b] :
% 198.98/199.14 ( class_Rings_Olinordered__semidom(T_b)
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_less__0__number__of,axiom,
% 198.98/199.14 ! [V_v_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_add__nat__number__of,axiom,
% 198.98/199.14 ! [V_v_H,V_v] :
% 198.98/199.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 198.98/199.14 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 198.98/199.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 198.98/199.14 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 198.98/199.14 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_v_H)) ) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zdiff__int__split,axiom,
% 198.98/199.14 ! [V_y_2,V_x_2,V_Pa_2] :
% 198.98/199.14 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2))))
% 198.98/199.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 198.98/199.14 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))) )
% 198.98/199.14 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 198.98/199.14 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_number__of2,axiom,
% 198.98/199.14 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_nat__number__of__add__1,axiom,
% 198.98/199.14 ! [V_v] :
% 198.98/199.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 198.98/199.14 => 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) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 198.98/199.14 => 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)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_nat__1__add__number__of,axiom,
% 198.98/199.14 ! [V_v] :
% 198.98/199.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 198.98/199.14 => 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) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 198.98/199.14 => 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)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_setsum__bounded,axiom,
% 198.98/199.14 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] :
% 198.98/199.14 ( ( class_Groups_Oordered__ab__semigroup__add(T_c)
% 198.98/199.14 & class_Rings_Osemiring__1(T_c) )
% 198.98/199.14 => ( ! [B_i] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) )
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))),V_K_2))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 198.98/199.14 ! [V_B_2,V_A_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.98/199.14 <=> 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))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 198.98/199.14 ! [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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 198.98/199.14 ! [V_A_2,V_x_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 198.98/199.14 <=> 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))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 198.98/199.14 ! [V_B_2,V_A_2] :
% 198.98/199.14 ( V_A_2 = V_B_2
% 198.98/199.14 <=> 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) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 198.98/199.14 ! [V_y_2,V_x_2] :
% 198.98/199.14 ( 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)
% 198.98/199.14 <=> V_x_2 = V_y_2 ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 198.98/199.14 ! [V_A_2] :
% 198.98/199.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 198.98/199.14 <=> 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))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 198.98/199.14 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))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 198.98/199.14 ! [V_B_2,V_A_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.98/199.14 <=> 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))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_int__int__eq,axiom,
% 198.98/199.14 ! [V_na_2,V_m_2] :
% 198.98/199.14 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)
% 198.98/199.14 <=> V_m_2 = V_na_2 ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_succ__pred,axiom,
% 198.98/199.14 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 198.98/199.14
% 198.98/199.14 fof(fact_succ__def,axiom,
% 198.98/199.14 ! [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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_number__of__succ,axiom,
% 198.98/199.14 ! [V_k,T_a] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_a)
% 198.98/199.14 => 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)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Suc__nat__number__of__add,axiom,
% 198.98/199.14 ! [V_n,V_v] :
% 198.98/199.14 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 198.98/199.14 => 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) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 198.98/199.14 => 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) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Nats__number__of,axiom,
% 198.98/199.14 ! [V_w_2,T_b] :
% 198.98/199.14 ( class_Int_Onumber__ring(T_b)
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_one__div__nat__number__of,axiom,
% 198.98/199.14 ! [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))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_decr__mult__lemma,axiom,
% 198.98/199.14 ! [V_k_2,V_Pa_2,V_d_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 198.98/199.14 => ( ! [B_x] :
% 198.98/199.14 ( hBOOL(hAPP(V_Pa_2,B_x))
% 198.98/199.14 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 198.98/199.14 => ! [B_x] :
% 198.98/199.14 ( hBOOL(hAPP(V_Pa_2,B_x))
% 198.98/199.14 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_negD,axiom,
% 198.98/199.14 ! [V_x] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.14 => ? [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))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 198.98/199.14 ! [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))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 198.98/199.14 ! [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))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 198.98/199.14 ! [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 ).
% 198.98/199.14
% 198.98/199.14 fof(fact_nat__int,axiom,
% 198.98/199.14 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 198.98/199.14
% 198.98/199.14 fof(fact_not__neg__nat,axiom,
% 198.98/199.14 ! [V_z] :
% 198.98/199.14 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 198.98/199.14 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 198.98/199.14 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))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_neg__nat,axiom,
% 198.98/199.14 ! [V_z] :
% 198.98/199.14 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 198.98/199.14 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_infinite__UNIV__int,axiom,
% 198.98/199.14 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_infinite__UNIV__nat,axiom,
% 198.98/199.14 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_not__neg__0,axiom,
% 198.98/199.14 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_not__neg__int,axiom,
% 198.98/199.14 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_not__neg__1,axiom,
% 198.98/199.14 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_nat__0,axiom,
% 198.98/199.14 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 198.98/199.14 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_eq__nat__nat__iff,axiom,
% 198.98/199.14 ! [V_z_H_2,V_z_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 198.98/199.14 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 198.98/199.14 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 198.98/199.14 ! [V_y_2,V_x_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 198.98/199.14 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 198.98/199.14 <=> V_x_2 = V_y_2 ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_all__nat,axiom,
% 198.98/199.14 ! [V_Pa_2] :
% 198.98/199.14 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 198.98/199.14 <=> ! [B_x] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 198.98/199.14 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_ex__nat,axiom,
% 198.98/199.14 ! [V_Pa_2] :
% 198.98/199.14 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 198.98/199.14 <=> ? [B_x] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 198.98/199.14 & hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_nat__number__of,axiom,
% 198.98/199.14 ! [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) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_nat__number__of__def,axiom,
% 198.98/199.14 ! [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)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 198.98/199.14 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_not__neg__eq__ge__0,axiom,
% 198.98/199.14 ! [V_x_2] :
% 198.98/199.14 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_neg__def,axiom,
% 198.98/199.14 ! [V_Z_2] :
% 198.98/199.14 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_not__neg__number__of__Pls,axiom,
% 198.98/199.14 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_mod__nat__number__of,axiom,
% 198.98/199.14 ! [V_v_H,V_v] :
% 198.98/199.14 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 198.98/199.14 => 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) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 198.98/199.14 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 198.98/199.14 => 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) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 198.98/199.14 => 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))) ) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_div__nat__number__of,axiom,
% 198.98/199.14 ! [V_v_H,V_v] :
% 198.98/199.14 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 198.98/199.14 => 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) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 198.98/199.14 => 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))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_power__nat__number__of__number__of,axiom,
% 198.98/199.14 ! [V_w,V_v] :
% 198.98/199.14 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 198.98/199.14 => 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)) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 198.98/199.14 => 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))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_power__nat__number__of,axiom,
% 198.98/199.14 ! [V_n,V_v] :
% 198.98/199.14 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 198.98/199.14 => 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) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 198.98/199.14 => 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)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_nat__0__iff,axiom,
% 198.98/199.14 ! [V_i_2] :
% 198.98/199.14 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_nat__le__0,axiom,
% 198.98/199.14 ! [V_z] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.14 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zless__nat__conj,axiom,
% 198.98/199.14 ! [V_z_2,V_w_2] :
% 198.98/199.14 ( 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)))
% 198.98/199.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 198.98/199.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_nat__mono__iff,axiom,
% 198.98/199.14 ! [V_w_2,V_z_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 198.98/199.14 => ( 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)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 198.98/199.14 ! [V_y_2,V_x_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 198.98/199.14 => ( 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)))
% 198.98/199.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_nat__1,axiom,
% 198.98/199.14 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_nat__0__le,axiom,
% 198.98/199.14 ! [V_z] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 198.98/199.14 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_int__eq__iff,axiom,
% 198.98/199.14 ! [V_z_2,V_m_2] :
% 198.98/199.14 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 198.98/199.14 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 198.98/199.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_int__nat__eq,axiom,
% 198.98/199.14 ! [V_z] :
% 198.98/199.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 198.98/199.14 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 198.98/199.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 198.98/199.14 => 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) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_zless__nat__eq__int__zless,axiom,
% 198.98/199.14 ! [V_z_2,V_m_2] :
% 198.98/199.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 198.98/199.14 <=> 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)) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_nat__zminus__int,axiom,
% 198.98/199.14 ! [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) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_neg__imp__number__of__eq__0,axiom,
% 198.98/199.14 ! [V_v] :
% 198.98/199.14 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 198.98/199.14 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Nats__0,axiom,
% 198.98/199.14 ! [T_b] :
% 198.98/199.14 ( class_Rings_Osemiring__1(T_b)
% 198.98/199.14 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_one__mod__nat__number__of,axiom,
% 198.98/199.14 ! [V_v_H] :
% 198.98/199.14 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 198.98/199.14 => 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)) )
% 198.98/199.14 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 198.98/199.14 => 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))) ) ) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_neg__zminus__int,axiom,
% 198.98/199.14 ! [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))))) ).
% 198.98/199.14
% 198.98/199.14 fof(fact_Nats__add,axiom,
% 198.98/199.14 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.14 ( class_Rings_Osemiring__1(T_b)
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 198.98/199.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 198.98/199.15 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nats__mult,axiom,
% 198.98/199.15 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.15 ( class_Rings_Osemiring__1(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 198.98/199.15 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nats__1,axiom,
% 198.98/199.15 ! [T_b] :
% 198.98/199.15 ( class_Rings_Osemiring__1(T_b)
% 198.98/199.15 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_of__nat__in__Nats,axiom,
% 198.98/199.15 ! [V_na_2,T_b] :
% 198.98/199.15 ( class_Rings_Osemiring__1(T_b)
% 198.98/199.15 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_zero__less__nat__eq,axiom,
% 198.98/199.15 ! [V_z_2] :
% 198.98/199.15 ( 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)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_nat__less__eq__zless,axiom,
% 198.98/199.15 ! [V_z_2,V_w_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 198.98/199.15 => ( 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)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 198.98/199.15 ! [V_y_2,V_x_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 198.98/199.15 => ( 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)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_nat__eq__iff2,axiom,
% 198.98/199.15 ! [V_w_2,V_m_2] :
% 198.98/199.15 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 198.98/199.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 198.98/199.15 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 198.98/199.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 198.98/199.15 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_nat__eq__iff,axiom,
% 198.98/199.15 ! [V_m_2,V_w_2] :
% 198.98/199.15 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 198.98/199.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 198.98/199.15 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 198.98/199.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 198.98/199.15 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_nat__le__eq__zle,axiom,
% 198.98/199.15 ! [V_z_2,V_w_2] :
% 198.98/199.15 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 198.98/199.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 198.98/199.15 => ( 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)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_split__nat,axiom,
% 198.98/199.15 ! [V_i_2,V_Pa_2] :
% 198.98/199.15 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,V_i_2)))
% 198.98/199.15 <=> ( ! [B_n] :
% 198.98/199.15 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 198.98/199.15 => hBOOL(hAPP(V_Pa_2,B_n)) )
% 198.98/199.15 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.15 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_nat__add__distrib,axiom,
% 198.98/199.15 ! [V_z_H,V_z] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 198.98/199.15 => 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)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 198.98/199.15 ! [V_y,V_x] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 198.98/199.15 => 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)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_int__eq__iff__number__of,axiom,
% 198.98/199.15 ! [V_v_2,V_m_2] :
% 198.98/199.15 ( 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)
% 198.98/199.15 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 198.98/199.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_nat__mult__distrib,axiom,
% 198.98/199.15 ! [V_z_H,V_z] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 198.98/199.15 => 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)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 198.98/199.15 ! [V_y,V_x] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 198.98/199.15 => 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)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_nat__diff__distrib,axiom,
% 198.98/199.15 ! [V_z,V_z_H] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 198.98/199.15 => 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)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_nat__mod__distrib,axiom,
% 198.98/199.15 ! [V_y,V_x] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 198.98/199.15 => 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)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 198.98/199.15 ! [V_y,V_x] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 198.98/199.15 => 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)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_nat__div__distrib,axiom,
% 198.98/199.15 ! [V_y,V_x] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 198.98/199.15 => 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)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 198.98/199.15 ! [V_y,V_x] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 198.98/199.15 => 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)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 198.98/199.15 ! [V_n,V_x] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 198.98/199.15 => 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)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_nat__power__eq,axiom,
% 198.98/199.15 ! [V_n,V_z] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 198.98/199.15 => 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) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 198.98/199.15 ! [V_y,V_x] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 198.98/199.15 => 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)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_eq__nat__number__of,axiom,
% 198.98/199.15 ! [V_v_H_2,V_v_2] :
% 198.98/199.15 ( 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)
% 198.98/199.15 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 198.98/199.15 => 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))) )
% 198.98/199.15 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 198.98/199.15 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 198.98/199.15 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 198.98/199.15 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 198.98/199.15 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_nat__number__of__add__left,axiom,
% 198.98/199.15 ! [V_k,V_v_H,V_v] :
% 198.98/199.15 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 198.98/199.15 => 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) )
% 198.98/199.15 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 198.98/199.15 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 198.98/199.15 => 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) )
% 198.98/199.15 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 198.98/199.15 => 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) ) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_int__nat__number__of,axiom,
% 198.98/199.15 ! [V_v] :
% 198.98/199.15 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 198.98/199.15 => 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) )
% 198.98/199.15 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 198.98/199.15 => 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) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_one__less__nat__eq,axiom,
% 198.98/199.15 ! [V_z_2] :
% 198.98/199.15 ( 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)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_nat__less__iff,axiom,
% 198.98/199.15 ! [V_m_2,V_w_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 198.98/199.15 <=> 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))) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 198.98/199.15 ! [V_z] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 198.98/199.15 => 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)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_nat__mult__distrib__neg,axiom,
% 198.98/199.15 ! [V_z_H,V_z] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.15 => 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))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_neg__number__of__pred__iff__0,axiom,
% 198.98/199.15 ! [V_v_2] :
% 198.98/199.15 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 198.98/199.15 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_of__nat__number__of__eq,axiom,
% 198.98/199.15 ! [V_v,T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 198.98/199.15 => 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) )
% 198.98/199.15 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 198.98/199.15 => 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) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Suc__nat__number__of,axiom,
% 198.98/199.15 ! [V_v] :
% 198.98/199.15 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 198.98/199.15 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 198.98/199.15 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 198.98/199.15 => 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)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_nat__aux__def,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_transfer__morphism__nat__int,axiom,
% 198.98/199.15 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))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 198.98/199.15 ! [V_N_2] :
% 198.98/199.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 198.98/199.15 <=> ? [B_m] :
% 198.98/199.15 ! [B_x] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 198.98/199.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_finite__nat__set__iff__bounded,axiom,
% 198.98/199.15 ! [V_N_2] :
% 198.98/199.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 198.98/199.15 <=> ? [B_m] :
% 198.98/199.15 ! [B_x] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 198.98/199.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_of__int__of__nat,axiom,
% 198.98/199.15 ! [V_k,T_a] :
% 198.98/199.15 ( class_Rings_Oring__1(T_a)
% 198.98/199.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.15 => 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)))) )
% 198.98/199.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.15 => 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)) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_of__int__eq__iff,axiom,
% 198.98/199.15 ! [V_z_2,V_w_2,T_b] :
% 198.98/199.15 ( class_Int_Oring__char__0(T_b)
% 198.98/199.15 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 198.98/199.15 <=> V_w_2 = V_z_2 ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_number__of__eq,axiom,
% 198.98/199.15 ! [V_k,T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_int__number__of__def,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_of__int__int__eq,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_of__int__eq__0__iff,axiom,
% 198.98/199.15 ! [V_z_2,T_b] :
% 198.98/199.15 ( class_Int_Oring__char__0(T_b)
% 198.98/199.15 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.15 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_of__int__0__eq__iff,axiom,
% 198.98/199.15 ! [V_z_2,T_b] :
% 198.98/199.15 ( class_Int_Oring__char__0(T_b)
% 198.98/199.15 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 198.98/199.15 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_of__int__0,axiom,
% 198.98/199.15 ! [T_a] :
% 198.98/199.15 ( class_Rings_Oring__1(T_a)
% 198.98/199.15 => 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) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_of__int__le__iff,axiom,
% 198.98/199.15 ! [V_z_2,V_w_2,T_b] :
% 198.98/199.15 ( class_Rings_Olinordered__idom(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_of__int__less__iff,axiom,
% 198.98/199.15 ! [V_z_2,V_w_2,T_b] :
% 198.98/199.15 ( class_Rings_Olinordered__idom(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_of__int__add,axiom,
% 198.98/199.15 ! [V_z,V_w,T_a] :
% 198.98/199.15 ( class_Rings_Oring__1(T_a)
% 198.98/199.15 => 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)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_of__int__number__of__eq,axiom,
% 198.98/199.15 ! [V_v,T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => 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) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_of__int__mult,axiom,
% 198.98/199.15 ! [V_z,V_w,T_a] :
% 198.98/199.15 ( class_Rings_Oring__1(T_a)
% 198.98/199.15 => 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)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_of__int__1,axiom,
% 198.98/199.15 ! [T_a] :
% 198.98/199.15 ( class_Rings_Oring__1(T_a)
% 198.98/199.15 => 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) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_of__int__diff,axiom,
% 198.98/199.15 ! [V_z,V_w,T_a] :
% 198.98/199.15 ( class_Rings_Oring__1(T_a)
% 198.98/199.15 => 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)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_of__int__of__nat__eq,axiom,
% 198.98/199.15 ! [V_n,T_a] :
% 198.98/199.15 ( class_Rings_Oring__1(T_a)
% 198.98/199.15 => 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) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_of__int__minus,axiom,
% 198.98/199.15 ! [V_z,T_a] :
% 198.98/199.15 ( class_Rings_Oring__1(T_a)
% 198.98/199.15 => 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)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Ints__of__int,axiom,
% 198.98/199.15 ! [V_z_2,T_b] :
% 198.98/199.15 ( class_Rings_Oring__1(T_b)
% 198.98/199.15 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_of__int__power,axiom,
% 198.98/199.15 ! [V_n,V_z,T_a] :
% 198.98/199.15 ( class_Rings_Oring__1(T_a)
% 198.98/199.15 => 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) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_of__int__0__le__iff,axiom,
% 198.98/199.15 ! [V_z_2,T_b] :
% 198.98/199.15 ( class_Rings_Olinordered__idom(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_of__int__le__0__iff,axiom,
% 198.98/199.15 ! [V_z_2,T_b] :
% 198.98/199.15 ( class_Rings_Olinordered__idom(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_of__int__0__less__iff,axiom,
% 198.98/199.15 ! [V_z_2,T_b] :
% 198.98/199.15 ( class_Rings_Olinordered__idom(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_of__int__less__0__iff,axiom,
% 198.98/199.15 ! [V_z_2,T_b] :
% 198.98/199.15 ( class_Rings_Olinordered__idom(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_of__nat__nat,axiom,
% 198.98/199.15 ! [V_z,T_a] :
% 198.98/199.15 ( class_Rings_Oring__1(T_a)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 198.98/199.15 => 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) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 198.98/199.15 ! [V_B_2,V_A_2] :
% 198.98/199.15 ( c_Nat__Transfer_Onat__set(V_A_2)
% 198.98/199.15 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 198.98/199.15 => 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))) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 198.98/199.15 ! [V_B_2,V_A_2] :
% 198.98/199.15 ( c_Nat__Transfer_Onat__set(V_A_2)
% 198.98/199.15 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 198.98/199.15 => 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))) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 198.98/199.15 ! [V_B_2,V_A_2] :
% 198.98/199.15 ( c_Nat__Transfer_Onat__set(V_A_2)
% 198.98/199.15 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.98/199.15 <=> 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))) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 198.98/199.15 ! [V_B_2,V_A_2] :
% 198.98/199.15 ( c_Nat__Transfer_Onat__set(V_A_2)
% 198.98/199.15 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.98/199.15 <=> 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))) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_card__greaterThanLessThan__int,axiom,
% 198.98/199.15 ! [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)))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_finite__greaterThanLessThan__int,axiom,
% 198.98/199.15 ! [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))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 198.98/199.15 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 198.98/199.15 ! [V_B_2,V_A_2] :
% 198.98/199.15 ( c_Nat__Transfer_Onat__set(V_A_2)
% 198.98/199.15 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 198.98/199.15 => 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)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 198.98/199.15 ! [V_B_2,V_A_2] :
% 198.98/199.15 ( c_Nat__Transfer_Onat__set(V_A_2)
% 198.98/199.15 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 198.98/199.15 => 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)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_nat__set__def,axiom,
% 198.98/199.15 ! [V_S_2] :
% 198.98/199.15 ( c_Nat__Transfer_Onat__set(V_S_2)
% 198.98/199.15 <=> ! [B_x] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 198.98/199.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_greaterThanLessThan__empty,axiom,
% 198.98/199.15 ! [V_k_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 198.98/199.15 => c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 198.98/199.15 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.15 ( class_Groups_Oordered__ab__group__add(T_b)
% 198.98/199.15 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 198.98/199.15 ! [V_B_2,V_A_2] :
% 198.98/199.15 ( c_Nat__Transfer_Onat__set(V_A_2)
% 198.98/199.15 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 198.98/199.15 => ( V_A_2 = V_B_2
% 198.98/199.15 <=> 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) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 198.98/199.15 ! [V_x_2,V_A_2] :
% 198.98/199.15 ( c_Nat__Transfer_Onat__set(V_A_2)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 198.98/199.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Int__greaterThanLessThan,axiom,
% 198.98/199.15 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 198.98/199.15 ! [V_A_2] :
% 198.98/199.15 ( c_Nat__Transfer_Onat__set(V_A_2)
% 198.98/199.15 => 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 ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 198.98/199.15 ! [V_A_2] :
% 198.98/199.15 ( c_Nat__Transfer_Onat__set(V_A_2)
% 198.98/199.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 198.98/199.15 <=> 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))) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 198.98/199.15 ! [V_A_2] :
% 198.98/199.15 ( c_Nat__Transfer_Onat__set(V_A_2)
% 198.98/199.15 => 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)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 198.98/199.15 ! [V_A_2,V_x_2] :
% 198.98/199.15 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 198.98/199.15 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 198.98/199.15 <=> 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))) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 198.98/199.15 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThanAtMost(T_b,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 198.98/199.15 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 198.98/199.15 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 198.98/199.15 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeastLessThan(T_b,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 198.98/199.15 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 198.98/199.15 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 198.98/199.15 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThanLessThan(T_b,V_less_2,V_l_2,V_u_2)))
% 198.98/199.15 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 198.98/199.15 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 198.98/199.15 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeastAtMost(T_b,V_less__eq_2,V_l_2,V_u_2)))
% 198.98/199.15 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 198.98/199.15 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_finite__greaterThanLessThan,axiom,
% 198.98/199.15 ! [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))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 198.98/199.15 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 198.98/199.15 ! [V_y,V_x] :
% 198.98/199.15 ( c_Nat__Transfer_Ois__nat(V_x)
% 198.98/199.15 => ( c_Nat__Transfer_Ois__nat(V_y)
% 198.98/199.15 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 198.98/199.15 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 198.98/199.15 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 198.98/199.15 ! [V_y,V_x] :
% 198.98/199.15 ( c_Nat__Transfer_Ois__nat(V_x)
% 198.98/199.15 => ( c_Nat__Transfer_Ois__nat(V_y)
% 198.98/199.15 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 198.98/199.15 ! [V_y,V_x] :
% 198.98/199.15 ( c_Nat__Transfer_Ois__nat(V_x)
% 198.98/199.15 => ( c_Nat__Transfer_Ois__nat(V_y)
% 198.98/199.15 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 198.98/199.15 ! [V_y,V_x] :
% 198.98/199.15 ( c_Nat__Transfer_Ois__nat(V_x)
% 198.98/199.15 => ( c_Nat__Transfer_Ois__nat(V_y)
% 198.98/199.15 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 198.98/199.15 ! [V_n,V_x] :
% 198.98/199.15 ( c_Nat__Transfer_Ois__nat(V_x)
% 198.98/199.15 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 198.98/199.15 ! [V_y,V_x] :
% 198.98/199.15 ( c_Nat__Transfer_Ois__nat(V_x)
% 198.98/199.15 => ( c_Nat__Transfer_Ois__nat(V_y)
% 198.98/199.15 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_is__nat__def,axiom,
% 198.98/199.15 ! [V_x_2] :
% 198.98/199.15 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 198.98/199.15 ! [V_x_2,V_A_2] :
% 198.98/199.15 ( c_Nat__Transfer_Onat__set(V_A_2)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 198.98/199.15 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_card__greaterThanLessThan,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ord_OatMost__iff,axiom,
% 198.98/199.15 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ord_OatLeast__iff,axiom,
% 198.98/199.15 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ord_OlessThan__iff,axiom,
% 198.98/199.15 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ord_OgreaterThan__iff,axiom,
% 198.98/199.15 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__un_I4_J,axiom,
% 198.98/199.15 ! [V_u_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_finite__greaterThanAtMost,axiom,
% 198.98/199.15 ! [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))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_finite__greaterThanAtMost__int,axiom,
% 198.98/199.15 ! [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))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_greaterThanAtMost__empty,axiom,
% 198.98/199.15 ! [V_k_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 198.98/199.15 => c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 198.98/199.15 ! [V_l_2,V_k_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2)
% 198.98/199.15 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 198.98/199.15 ! [V_l_2,V_k_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => ( c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.98/199.15 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__un_I20_J,axiom,
% 198.98/199.15 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__int_I14_J,axiom,
% 198.98/199.15 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_card__greaterThanAtMost,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Int__greaterThanAtMost,axiom,
% 198.98/199.15 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__int_I10_J,axiom,
% 198.98/199.15 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_card__greaterThanAtMost__int,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__un_I16_J,axiom,
% 198.98/199.15 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_incr__mult__lemma,axiom,
% 198.98/199.15 ! [V_k_2,V_Pa_2,V_d_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 198.98/199.15 => ( ! [B_x] :
% 198.98/199.15 ( hBOOL(hAPP(V_Pa_2,B_x))
% 198.98/199.15 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 198.98/199.15 => ! [B_x] :
% 198.98/199.15 ( hBOOL(hAPP(V_Pa_2,B_x))
% 198.98/199.15 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_zero__less__imp__eq__int,axiom,
% 198.98/199.15 ! [V_k] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 198.98/199.15 => ? [B_n] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 198.98/199.15 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_eq__special_I2_J,axiom,
% 198.98/199.15 ! [V_y_2,T_b] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_b)
% 198.98/199.15 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 198.98/199.15 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_eq__special_I4_J,axiom,
% 198.98/199.15 ! [V_x_2,T_b] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_b)
% 198.98/199.15 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 198.98/199.15 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls))))) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__un_I19_J,axiom,
% 198.98/199.15 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_finite__atLeastAtMost,axiom,
% 198.98/199.15 ! [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))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_finite__atLeastAtMost__int,axiom,
% 198.98/199.15 ! [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))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_less__eq__int__code_I16_J,axiom,
% 198.98/199.15 ! [V_k2_2,V_k1_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I34_J,axiom,
% 198.98/199.15 ! [V_l_2,V_k_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_less__int__code_I16_J,axiom,
% 198.98/199.15 ! [V_k2_2,V_k1_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I17_J,axiom,
% 198.98/199.15 ! [V_l_2,V_k_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I39_J,axiom,
% 198.98/199.15 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I46_J,axiom,
% 198.98/199.15 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I51_J,axiom,
% 198.98/199.15 ! [V_l_2,V_k_2] :
% 198.98/199.15 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 198.98/199.15 <=> V_k_2 = V_l_2 ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_image__Suc__atLeastAtMost,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 198.98/199.15 ! [V_na_2,V_m_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_bin__less__0__simps_I4_J,axiom,
% 198.98/199.15 ! [V_w_2] :
% 198.98/199.15 ( 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)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 198.98/199.15 ! [V_k_2,V_f_2] :
% 198.98/199.15 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.15 => 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)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I22_J,axiom,
% 198.98/199.15 ! [V_k_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I12_J,axiom,
% 198.98/199.15 ! [V_k_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 198.98/199.15 ! [V_na_2,V_m_2] :
% 198.98/199.15 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 198.98/199.15 => ( c_Nat__Transfer_Ois__nat(V_na_2)
% 198.98/199.15 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_m_2,V_na_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,V_m_2),hAPP(c_Int_Onat,V_na_2))) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastAtMostSuc__conv,axiom,
% 198.98/199.15 ! [V_na_2,V_m_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 198.98/199.15 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Bit1__def,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_neg__number__of__Bit1,axiom,
% 198.98/199.15 ! [V_w_2] :
% 198.98/199.15 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 198.98/199.15 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_minus__Bit1,axiom,
% 198.98/199.15 ! [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))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 198.98/199.15 ! [V_y_2,V_x_2] :
% 198.98/199.15 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 198.98/199.15 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_iszero__number__of__Bit1,axiom,
% 198.98/199.15 ! [V_w,T_a] :
% 198.98/199.15 ( ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 & class_Int_Oring__char__0(T_a) )
% 198.98/199.15 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_succ__Pls,axiom,
% 198.98/199.15 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastatMost__empty__iff2,axiom,
% 198.98/199.15 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)
% 198.98/199.15 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastatMost__empty__iff,axiom,
% 198.98/199.15 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.98/199.15 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastatMost__empty,axiom,
% 198.98/199.15 ! [V_a_2,V_b_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2))
% 198.98/199.15 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastatMost__subset__iff,axiom,
% 198.98/199.15 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)))
% 198.98/199.15 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 198.98/199.15 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 198.98/199.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastAtMost__singleton_H,axiom,
% 198.98/199.15 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => ( V_a_2 = V_b_2
% 198.98/199.15 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 198.98/199.15 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))
% 198.98/199.15 <=> ( V_a_2 = V_b_2
% 198.98/199.15 & V_b_2 = V_c_2 ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastAtMost__singleton,axiom,
% 198.98/199.15 ! [V_a_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_image__uminus__atLeastAtMost,axiom,
% 198.98/199.15 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.15 ( class_Groups_Oordered__ab__group__add(T_b)
% 198.98/199.15 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_number__of__Bit1,axiom,
% 198.98/199.15 ! [V_w,T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => 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)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_mult__numeral__1,axiom,
% 198.98/199.15 ! [V_a,T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => 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 ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_mult__numeral__1__right,axiom,
% 198.98/199.15 ! [V_a,T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => 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 ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_semiring__norm_I110_J,axiom,
% 198.98/199.15 ! [T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_numeral__1__eq__1,axiom,
% 198.98/199.15 ! [T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_setsum__head__Suc,axiom,
% 198.98/199.15 ! [V_f_2,V_na_2,V_m_2,T_b] :
% 198.98/199.15 ( class_Groups_Ocomm__monoid__add(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 198.98/199.15 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),V_na_2))) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I29_J,axiom,
% 198.98/199.15 ! [V_k_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I5_J,axiom,
% 198.98/199.15 ! [V_k_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_divide__Numeral1,axiom,
% 198.98/199.15 ! [V_x,T_a] :
% 198.98/199.15 ( ( class_Fields_Ofield(T_a)
% 198.98/199.15 & class_Int_Onumber__ring(T_a) )
% 198.98/199.15 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_x ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_divide__numeral__1,axiom,
% 198.98/199.15 ! [V_a,T_a] :
% 198.98/199.15 ( ( class_Fields_Ofield(T_a)
% 198.98/199.15 & class_Int_Onumber__ring(T_a) )
% 198.98/199.15 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_a ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 198.98/199.15 ! [V_y_2,V_x_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 198.98/199.15 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_one__is__num__one,axiom,
% 198.98/199.15 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_nat__numeral__1__eq__1,axiom,
% 198.98/199.15 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Numeral1__eq1__nat,axiom,
% 198.98/199.15 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 198.98/199.15 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_not__iszero__Numeral1,axiom,
% 198.98/199.15 ! [T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_card__atLeastAtMost,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Int__atLeastAtMost,axiom,
% 198.98/199.15 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastatMost__psubset__iff,axiom,
% 198.98/199.15 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)))
% 198.98/199.15 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 198.98/199.15 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 198.98/199.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2))
% 198.98/199.15 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2))
% 198.98/199.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) )
% 198.98/199.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__un_I22_J,axiom,
% 198.98/199.15 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__int_I16_J,axiom,
% 198.98/199.15 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__int_I12_J,axiom,
% 198.98/199.15 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__int_I13_J,axiom,
% 198.98/199.15 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_setsum__cl__ivl__Suc,axiom,
% 198.98/199.15 ! [V_f_2,V_m_2,V_na_2,T_b] :
% 198.98/199.15 ( class_Groups_Ocomm__monoid__add(T_b)
% 198.98/199.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2))
% 198.98/199.15 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_na_2))) = c_Groups_Ozero__class_Ozero(T_b) )
% 198.98/199.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2))
% 198.98/199.15 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_na_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_na_2))) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_numeral__1__eq__Suc__0,axiom,
% 198.98/199.15 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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_numeral__3__eq__3,axiom,
% 198.98/199.15 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)))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_power3__eq__cube,axiom,
% 198.98/199.15 ! [V_a,T_a] :
% 198.98/199.15 ( class_Groups_Omonoid__mult(T_a)
% 198.98/199.15 => 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) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 198.98/199.15 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Suc3__eq__add__3,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_setsum__ub__add__nat,axiom,
% 198.98/199.15 ! [V_p_2,V_f_2,V_na_2,V_m_2,T_b] :
% 198.98/199.15 ( class_Groups_Ocomm__monoid__add(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
% 198.98/199.15 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_p_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_p_2)))) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 198.98/199.15 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)))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 198.98/199.15 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)))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_simp__from__to,axiom,
% 198.98/199.15 ! [V_i_2,V_j_2] :
% 198.98/199.15 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 198.98/199.15 => 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)) )
% 198.98/199.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 198.98/199.15 => 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)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_le__special_I4_J,axiom,
% 198.98/199.15 ! [V_x_2,T_b] :
% 198.98/199.15 ( ( class_Int_Onumber__ring(T_b)
% 198.98/199.15 & class_Rings_Olinordered__idom(T_b) )
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Oone__class_Oone(T_b)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_le__special_I2_J,axiom,
% 198.98/199.15 ! [V_y_2,T_b] :
% 198.98/199.15 ( ( class_Int_Onumber__ring(T_b)
% 198.98/199.15 & class_Rings_Olinordered__idom(T_b) )
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Oone__class_Oone(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_less__special_I4_J,axiom,
% 198.98/199.15 ! [V_x_2,T_b] :
% 198.98/199.15 ( ( class_Int_Onumber__ring(T_b)
% 198.98/199.15 & class_Rings_Olinordered__idom(T_b) )
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Oone__class_Oone(T_b)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_less__special_I2_J,axiom,
% 198.98/199.15 ! [V_y_2,T_b] :
% 198.98/199.15 ( ( class_Int_Onumber__ring(T_b)
% 198.98/199.15 & class_Rings_Olinordered__idom(T_b) )
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_add__special_I2_J,axiom,
% 198.98/199.15 ! [V_w,T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => 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)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_add__special_I3_J,axiom,
% 198.98/199.15 ! [V_v,T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => 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))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 198.98/199.15 ! [V_m,V_n] :
% 198.98/199.15 ( 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))
% 198.98/199.15 => 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)))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Suc__div__eq__add3__div,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_div__Suc__eq__div__add3,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_card__atLeastAtMost__int,axiom,
% 198.98/199.15 ! [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))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_diff__special_I2_J,axiom,
% 198.98/199.15 ! [V_v,T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => 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)))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_diff__special_I1_J,axiom,
% 198.98/199.15 ! [V_w,T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => 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))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__un_I5_J,axiom,
% 198.98/199.15 ! [V_u_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_zmod__number__of__Bit1,axiom,
% 198.98/199.15 ! [V_v,V_w] :
% 198.98/199.15 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 198.98/199.15 => 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)) )
% 198.98/199.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 198.98/199.15 => 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)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_neg__zmod__mult__2,axiom,
% 198.98/199.15 ! [V_b,V_a] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.15 => 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)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_aset_I6_J,axiom,
% 198.98/199.15 ! [V_A_2,V_t_2,V_D_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 198.98/199.15 => ( 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))
% 198.98/199.15 => ! [B_x] :
% 198.98/199.15 ( ! [B_xa] :
% 198.98/199.15 ( 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)))
% 198.98/199.15 => ! [B_xb] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 198.98/199.15 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 198.98/199.15 => 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)) ) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_bset_I8_J,axiom,
% 198.98/199.15 ! [V_B_2,V_t_2,V_D_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 198.98/199.15 => ( 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))
% 198.98/199.15 => ! [B_x] :
% 198.98/199.15 ( ! [B_xa] :
% 198.98/199.15 ( 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)))
% 198.98/199.15 => ! [B_xb] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 198.98/199.15 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 198.98/199.15 => 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))) ) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_pos__zdiv__mult__2,axiom,
% 198.98/199.15 ! [V_b,V_a] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 198.98/199.15 => 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) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I50_J,axiom,
% 198.98/199.15 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I49_J,axiom,
% 198.98/199.15 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_mult__Bit0,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_diff__bin__simps_I7_J,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_minus__Bit0,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I44_J,axiom,
% 198.98/199.15 ! [V_k_2] :
% 198.98/199.15 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 198.98/199.15 <=> V_k_2 = c_Int_OPls ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I38_J,axiom,
% 198.98/199.15 ! [V_l_2] :
% 198.98/199.15 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 198.98/199.15 <=> c_Int_OPls = V_l_2 ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Bit0__Pls,axiom,
% 198.98/199.15 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 198.98/199.15
% 198.98/199.15 fof(fact_add__Bit0__Bit0,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Bit0__def,axiom,
% 198.98/199.15 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I48_J,axiom,
% 198.98/199.15 ! [V_l_2,V_k_2] :
% 198.98/199.15 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 198.98/199.15 <=> V_k_2 = V_l_2 ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I14_J,axiom,
% 198.98/199.15 ! [V_l_2,V_k_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_less__int__code_I13_J,axiom,
% 198.98/199.15 ! [V_k2_2,V_k1_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I31_J,axiom,
% 198.98/199.15 ! [V_l_2,V_k_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_less__eq__int__code_I13_J,axiom,
% 198.98/199.15 ! [V_k2_2,V_k1_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_bin__less__0__simps_I3_J,axiom,
% 198.98/199.15 ! [V_w_2] :
% 198.98/199.15 ( 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)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I27_J,axiom,
% 198.98/199.15 ! [V_k_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I21_J,axiom,
% 198.98/199.15 ! [V_k_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I32_J,axiom,
% 198.98/199.15 ! [V_l_2,V_k_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_less__eq__int__code_I14_J,axiom,
% 198.98/199.15 ! [V_k2_2,V_k1_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I10_J,axiom,
% 198.98/199.15 ! [V_k_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I4_J,axiom,
% 198.98/199.15 ! [V_k_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I16_J,axiom,
% 198.98/199.15 ! [V_l_2,V_k_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_less__int__code_I15_J,axiom,
% 198.98/199.15 ! [V_k2_2,V_k1_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_add__Bit1__Bit0,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_add__Bit0__Bit1,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_diff__bin__simps_I3_J,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_diff__bin__simps_I9_J,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_diff__bin__simps_I10_J,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_zdiv__number__of__Bit0,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_neg__number__of__Bit0,axiom,
% 198.98/199.15 ! [V_w_2] :
% 198.98/199.15 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 198.98/199.15 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_pred__Bit0,axiom,
% 198.98/199.15 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_pred__Bit1,axiom,
% 198.98/199.15 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_iszero__number__of__Bit0,axiom,
% 198.98/199.15 ! [V_w_2,T_b] :
% 198.98/199.15 ( ( class_Int_Onumber__ring(T_b)
% 198.98/199.15 & class_Int_Oring__char__0(T_b) )
% 198.98/199.15 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2)))
% 198.98/199.15 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_succ__Bit1,axiom,
% 198.98/199.15 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_succ__Bit0,axiom,
% 198.98/199.15 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_number__of__Bit0,axiom,
% 198.98/199.15 ! [V_w,T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => 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)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_less__eq__int__code_I15_J,axiom,
% 198.98/199.15 ! [V_k2_2,V_k1_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I33_J,axiom,
% 198.98/199.15 ! [V_l_2,V_k_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_less__int__code_I14_J,axiom,
% 198.98/199.15 ! [V_k2_2,V_k1_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I15_J,axiom,
% 198.98/199.15 ! [V_l_2,V_k_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_card__UNIV__bool,axiom,
% 198.98/199.15 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))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_mult__Bit1,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_diff__bin__simps_I8_J,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_add__Bit1__Bit1,axiom,
% 198.98/199.15 ! [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))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_double__number__of__Bit0,axiom,
% 198.98/199.15 ! [V_w,T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => 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)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_number__of1,axiom,
% 198.98/199.15 ! [V_n] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_n))))
% 198.98/199.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_n)))) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 198.98/199.15 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_mult__2__right,axiom,
% 198.98/199.15 ! [V_z,T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => 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) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_mult__2,axiom,
% 198.98/199.15 ! [V_z,T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => 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) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_one__add__one__is__two,axiom,
% 198.98/199.15 ! [T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => 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))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_zero__power2,axiom,
% 198.98/199.15 ! [T_a] :
% 198.98/199.15 ( class_Rings_Osemiring__1(T_a)
% 198.98/199.15 => 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) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_zero__eq__power2,axiom,
% 198.98/199.15 ! [V_a_2,T_b] :
% 198.98/199.15 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 198.98/199.15 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.15 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_semiring__norm_I115_J,axiom,
% 198.98/199.15 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))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_numeral__2__eq__2,axiom,
% 198.98/199.15 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))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_power2__eq__square,axiom,
% 198.98/199.15 ! [V_a,T_a] :
% 198.98/199.15 ( class_Groups_Omonoid__mult(T_a)
% 198.98/199.15 => 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) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 198.98/199.15 ! [V_x,T_a] :
% 198.98/199.15 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.15 => 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)))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 198.98/199.15 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_add__2__eq__Suc,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_add__2__eq__Suc_H,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_one__power2,axiom,
% 198.98/199.15 ! [T_a] :
% 198.98/199.15 ( class_Rings_Osemiring__1(T_a)
% 198.98/199.15 => 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) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_power2__minus,axiom,
% 198.98/199.15 ! [V_a,T_a] :
% 198.98/199.15 ( class_Rings_Oring__1(T_a)
% 198.98/199.15 => 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)))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_nat__mult__2__right,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_nat__mult__2,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_power__even__eq,axiom,
% 198.98/199.15 ! [V_n,V_a,T_a] :
% 198.98/199.15 ( class_Groups_Omonoid__mult(T_a)
% 198.98/199.15 => 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)))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 198.98/199.15 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)))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 198.98/199.15 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)))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_nat__1__add__1,axiom,
% 198.98/199.15 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))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_mod2__Suc__Suc,axiom,
% 198.98/199.15 ! [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)))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_div2__Suc__Suc,axiom,
% 198.98/199.15 ! [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))))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_zmod__number__of__Bit0,axiom,
% 198.98/199.15 ! [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))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_add__self__div__2,axiom,
% 198.98/199.15 ! [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 ).
% 198.98/199.15
% 198.98/199.15 fof(fact_half__gt__zero,axiom,
% 198.98/199.15 ! [V_r,T_a] :
% 198.98/199.15 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 198.98/199.15 & class_Int_Onumber__ring(T_a) )
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 198.98/199.15 => 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)))))) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_half__gt__zero__iff,axiom,
% 198.98/199.15 ! [V_r_2,T_b] :
% 198.98/199.15 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 198.98/199.15 & class_Int_Onumber__ring(T_b) )
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_r_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_zero__le__power2,axiom,
% 198.98/199.15 ! [V_a,T_a] :
% 198.98/199.15 ( class_Rings_Olinordered__idom(T_a)
% 198.98/199.15 => 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)))))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_power2__le__imp__le,axiom,
% 198.98/199.15 ! [V_y,V_x,T_a] :
% 198.98/199.15 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.15 => ( 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))))))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 198.98/199.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_power2__eq__imp__eq,axiom,
% 198.98/199.15 ! [V_y,V_x,T_a] :
% 198.98/199.15 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.15 => ( 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))))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 198.98/199.15 => V_x = V_y ) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_zero__less__power2,axiom,
% 198.98/199.15 ! [V_a_2,T_b] :
% 198.98/199.15 ( class_Rings_Olinordered__idom(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 198.98/199.15 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_power2__less__0,axiom,
% 198.98/199.15 ! [V_a,T_a] :
% 198.98/199.15 ( class_Rings_Olinordered__idom(T_a)
% 198.98/199.15 => ~ 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))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_sum__power2__eq__zero__iff,axiom,
% 198.98/199.15 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.15 ( class_Rings_Olinordered__idom(T_b)
% 198.98/199.15 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.15 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.15 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_power2__eq__square__number__of,axiom,
% 198.98/199.15 ! [V_w,T_b] :
% 198.98/199.15 ( ( class_Groups_Omonoid__mult(T_b)
% 198.98/199.15 & class_Int_Onumber(T_b) )
% 198.98/199.15 => 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)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_less__2__cases,axiom,
% 198.98/199.15 ! [V_n] :
% 198.98/199.15 ( 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)))))
% 198.98/199.15 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.98/199.15 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_nat__2,axiom,
% 198.98/199.15 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))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_power2__eq__1__iff,axiom,
% 198.98/199.15 ! [V_a_2,T_b] :
% 198.98/199.15 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 198.98/199.15 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_b)
% 198.98/199.15 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b)
% 198.98/199.15 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 198.98/199.15 ! [V_n,V_x,T_a] :
% 198.98/199.15 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.15 => 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)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_power__minus__even,axiom,
% 198.98/199.15 ! [V_n,V_a,T_a] :
% 198.98/199.15 ( class_Rings_Oring__1(T_a)
% 198.98/199.15 => 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)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_power2__less__imp__less,axiom,
% 198.98/199.15 ! [V_y,V_x,T_a] :
% 198.98/199.15 ( class_Rings_Olinordered__semidom(T_a)
% 198.98/199.15 => ( 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))))))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 198.98/199.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_sum__power2__ge__zero,axiom,
% 198.98/199.15 ! [V_y,V_x,T_a] :
% 198.98/199.15 ( class_Rings_Olinordered__idom(T_a)
% 198.98/199.15 => 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))))))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_sum__power2__le__zero__iff,axiom,
% 198.98/199.15 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.15 ( class_Rings_Olinordered__idom(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.15 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.15 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_sum__power2__gt__zero__iff,axiom,
% 198.98/199.15 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.15 ( class_Rings_Olinordered__idom(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))
% 198.98/199.15 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.15 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_not__sum__power2__lt__zero,axiom,
% 198.98/199.15 ! [V_y,V_x,T_a] :
% 198.98/199.15 ( class_Rings_Olinordered__idom(T_a)
% 198.98/199.15 => ~ 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))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_power2__sum,axiom,
% 198.98/199.15 ! [V_y,V_x,T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => 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)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_zero__le__even__power_H,axiom,
% 198.98/199.15 ! [V_n,V_a,T_a] :
% 198.98/199.15 ( class_Rings_Olinordered__idom(T_a)
% 198.98/199.15 => 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)))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_power__odd__eq,axiom,
% 198.98/199.15 ! [V_n,V_a,T_a] :
% 198.98/199.15 ( class_Groups_Omonoid__mult(T_a)
% 198.98/199.15 => 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))))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 198.98/199.15 ! [V_n,V_x,T_a] :
% 198.98/199.15 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.98/199.15 => 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))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_power__minus1__even,axiom,
% 198.98/199.15 ! [V_n,T_a] :
% 198.98/199.15 ( class_Rings_Oring__1(T_a)
% 198.98/199.15 => 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) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_zdiv__number__of__Bit1,axiom,
% 198.98/199.15 ! [V_v,V_w] :
% 198.98/199.15 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 198.98/199.15 => 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)) )
% 198.98/199.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 198.98/199.15 => 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)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_mod2__gr__0,axiom,
% 198.98/199.15 ! [V_m_2] :
% 198.98/199.15 ( 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))))))
% 198.98/199.15 <=> 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) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_div__2__gt__zero,axiom,
% 198.98/199.15 ! [V_n] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 198.98/199.15 => 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)))))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_power2__diff,axiom,
% 198.98/199.15 ! [V_y,V_x,T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => 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)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 198.98/199.15 ! [V_n,V_a,T_a] :
% 198.98/199.15 ( class_Rings_Olinordered__idom(T_a)
% 198.98/199.15 => ( 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)))))
% 198.98/199.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_odd__power__less__zero,axiom,
% 198.98/199.15 ! [V_n,V_a,T_a] :
% 198.98/199.15 ( class_Rings_Olinordered__idom(T_a)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.15 => 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))) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_power__minus1__odd,axiom,
% 198.98/199.15 ! [V_n,T_a] :
% 198.98/199.15 ( class_Rings_Oring__1(T_a)
% 198.98/199.15 => 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)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 198.98/199.15 ! [V_n] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 198.98/199.15 => 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)))))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_of__nat__double,axiom,
% 198.98/199.15 ! [V_x,T_a] :
% 198.98/199.15 ( class_Rings_Osemiring__1(T_a)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 198.98/199.15 => 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))) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_pos__zmod__mult__2,axiom,
% 198.98/199.15 ! [V_b,V_a] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 198.98/199.15 => 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))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_neg__zdiv__mult__2,axiom,
% 198.98/199.15 ! [V_b,V_a] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.15 => 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) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_all__nat__less,axiom,
% 198.98/199.15 ! [V_Pa_2,V_na_2] :
% 198.98/199.15 ( ! [B_m] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2))
% 198.98/199.15 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 198.98/199.15 <=> ! [B_x] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2)))
% 198.98/199.15 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ex__nat__less,axiom,
% 198.98/199.15 ! [V_Pa_2,V_na_2] :
% 198.98/199.15 ( ? [B_m] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2))
% 198.98/199.15 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 198.98/199.15 <=> ? [B_x] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2)))
% 198.98/199.15 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_int__of__code,axiom,
% 198.98/199.15 ! [V_k] :
% 198.98/199.15 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 198.98/199.15 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 198.98/199.15 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 198.98/199.15 => ( ( 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)
% 198.98/199.15 => 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)))))) )
% 198.98/199.15 & ( 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)
% 198.98/199.15 => 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)) ) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_aset_I4_J,axiom,
% 198.98/199.15 ! [V_A_2,V_t_2,V_D_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 198.98/199.15 => ! [B_x] :
% 198.98/199.15 ( ! [B_xa] :
% 198.98/199.15 ( 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)))
% 198.98/199.15 => ! [B_xb] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 198.98/199.15 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 198.98/199.15 => ( B_x != V_t_2
% 198.98/199.15 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_bset_I4_J,axiom,
% 198.98/199.15 ! [V_B_2,V_t_2,V_D_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 198.98/199.15 => ! [B_x] :
% 198.98/199.15 ( ! [B_xa] :
% 198.98/199.15 ( 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)))
% 198.98/199.15 => ! [B_xb] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 198.98/199.15 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 198.98/199.15 => ( B_x != V_t_2
% 198.98/199.15 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_code__numeral__zero__minus__one,axiom,
% 198.98/199.15 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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_zero__code__numeral__code,axiom,
% 198.98/199.15 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OPls) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_one__code__numeral__code,axiom,
% 198.98/199.15 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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_bset_I3_J,axiom,
% 198.98/199.15 ! [V_B_2,V_t_2,V_D_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 198.98/199.15 => ( 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))
% 198.98/199.15 => ( ! [B_x] :
% 198.98/199.15 ( 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)))
% 198.98/199.15 => ! [B_xa] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 198.98/199.15 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 198.98/199.15 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_aset_I3_J,axiom,
% 198.98/199.15 ! [V_A_2,V_t_2,V_D_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 198.98/199.15 => ( 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))
% 198.98/199.15 => ( ! [B_x] :
% 198.98/199.15 ( 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)))
% 198.98/199.15 => ! [B_xa] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 198.98/199.15 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 198.98/199.15 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_aset_I5_J,axiom,
% 198.98/199.15 ! [V_A_2,V_t_2,V_D_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 198.98/199.15 => ! [B_x] :
% 198.98/199.15 ( ! [B_xa] :
% 198.98/199.15 ( 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)))
% 198.98/199.15 => ! [B_xb] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 198.98/199.15 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 198.98/199.15 => 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)) ) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_bset_I7_J,axiom,
% 198.98/199.15 ! [V_B_2,V_t_2,V_D_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 198.98/199.15 => ! [B_x] :
% 198.98/199.15 ( ! [B_xa] :
% 198.98/199.15 ( 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)))
% 198.98/199.15 => ! [B_xb] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 198.98/199.15 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 198.98/199.15 => 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))) ) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_nat__of__aux__code,axiom,
% 198.98/199.15 ! [V_n,V_i] :
% 198.98/199.15 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 198.98/199.15 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 198.98/199.15 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 198.98/199.15 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),hAPP(c_Nat_OSuc,V_n)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_aset_I8_J,axiom,
% 198.98/199.15 ! [V_t_2,V_A_2,V_D_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 198.98/199.15 => ! [B_x] :
% 198.98/199.15 ( ! [B_xa] :
% 198.98/199.15 ( 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)))
% 198.98/199.15 => ! [B_xb] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 198.98/199.15 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 198.98/199.15 => 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))) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_bset_I6_J,axiom,
% 198.98/199.15 ! [V_t_2,V_B_2,V_D_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 198.98/199.15 => ! [B_x] :
% 198.98/199.15 ( ! [B_xa] :
% 198.98/199.15 ( 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)))
% 198.98/199.15 => ! [B_xb] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 198.98/199.15 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 198.98/199.15 => 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)) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_power__m1__odd,axiom,
% 198.98/199.15 ! [V_n,T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => 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) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I42_J,axiom,
% 198.98/199.15 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I45_J,axiom,
% 198.98/199.15 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I24_J,axiom,
% 198.98/199.15 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I7_J,axiom,
% 198.98/199.15 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I40_J,axiom,
% 198.98/199.15 c_Int_OMin != c_Int_OPls ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I37_J,axiom,
% 198.98/199.15 c_Int_OPls != c_Int_OMin ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Bit1__Min,axiom,
% 198.98/199.15 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I43_J,axiom,
% 198.98/199.15 ! [V_l_2] :
% 198.98/199.15 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 198.98/199.15 <=> c_Int_OMin = V_l_2 ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I47_J,axiom,
% 198.98/199.15 ! [V_k_2] :
% 198.98/199.15 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 198.98/199.15 <=> V_k_2 = c_Int_OMin ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_bin__less__0__simps_I2_J,axiom,
% 198.98/199.15 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I23_J,axiom,
% 198.98/199.15 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I20_J,axiom,
% 198.98/199.15 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I30_J,axiom,
% 198.98/199.15 ! [V_k_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I26_J,axiom,
% 198.98/199.15 ! [V_k_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I6_J,axiom,
% 198.98/199.15 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I3_J,axiom,
% 198.98/199.15 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I13_J,axiom,
% 198.98/199.15 ! [V_k_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I9_J,axiom,
% 198.98/199.15 ! [V_k_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I28_J,axiom,
% 198.98/199.15 ! [V_k_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I8_J,axiom,
% 198.98/199.15 ! [V_k_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_eq__number__of__Pls__Min,axiom,
% 198.98/199.15 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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Int_OMin__def,axiom,
% 198.98/199.15 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_mult__Min,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_neg__number__of__Min,axiom,
% 198.98/199.15 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_pred__Pls,axiom,
% 198.98/199.15 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 198.98/199.15
% 198.98/199.15 fof(fact_add__Min,axiom,
% 198.98/199.15 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_add__Min__right,axiom,
% 198.98/199.15 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_pred__Min,axiom,
% 198.98/199.15 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_nonzero__number__of__Min,axiom,
% 198.98/199.15 ! [T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_succ__Min,axiom,
% 198.98/199.15 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 198.98/199.15
% 198.98/199.15 fof(fact_diff__bin__simps_I2_J,axiom,
% 198.98/199.15 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_mult__minus1__right,axiom,
% 198.98/199.15 ! [V_z,T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => 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) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_mult__minus1,axiom,
% 198.98/199.15 ! [V_z,T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => 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) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_arith__simps_I31_J,axiom,
% 198.98/199.15 ! [T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => 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) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_number__of__Min,axiom,
% 198.98/199.15 ! [T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => 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)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_divide__minus1,axiom,
% 198.98/199.15 ! [V_x,T_a] :
% 198.98/199.15 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 198.98/199.15 & class_Int_Onumber__ring(T_a) )
% 198.98/199.15 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I25_J,axiom,
% 198.98/199.15 ! [V_k_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_rel__simps_I11_J,axiom,
% 198.98/199.15 ! [V_k_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_zmod__minus1__right,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_diff__bin__simps_I4_J,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_minus__Min,axiom,
% 198.98/199.15 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 198.98/199.15 ! [V_n,V_m] :
% 198.98/199.15 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 198.98/199.15 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 198.98/199.15 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_zmult__eq__1__iff,axiom,
% 198.98/199.15 ! [V_na_2,V_m_2] :
% 198.98/199.15 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 198.98/199.15 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 198.98/199.15 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 198.98/199.15 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 198.98/199.15 & V_na_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_diff__bin__simps_I5_J,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_diff__bin__simps_I6_J,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_of__int__m1,axiom,
% 198.98/199.15 ! [T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => 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) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_zdiv__minus1__right,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_minus1__divide,axiom,
% 198.98/199.15 ! [V_x,T_a] :
% 198.98/199.15 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 198.98/199.15 & class_Int_Onumber__ring(T_a) )
% 198.98/199.15 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),V_x)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_div__eq__minus1,axiom,
% 198.98/199.15 ! [V_b] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 198.98/199.15 => 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) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_div__pos__neg__trivial,axiom,
% 198.98/199.15 ! [V_b,V_a] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 198.98/199.15 => ( 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)))
% 198.98/199.15 => 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) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_zmod__minus1,axiom,
% 198.98/199.15 ! [V_b] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 198.98/199.15 => 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)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_power__m1__even,axiom,
% 198.98/199.15 ! [V_n,T_a] :
% 198.98/199.15 ( class_Int_Onumber__ring(T_a)
% 198.98/199.15 => 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) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_periodic__finite__ex,axiom,
% 198.98/199.15 ! [V_Pa_2,V_d_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 198.98/199.15 => ( ! [B_x,B_k] :
% 198.98/199.15 ( hBOOL(hAPP(V_Pa_2,B_x))
% 198.98/199.15 <=> hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B_k),V_d_2)))) )
% 198.98/199.15 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 198.98/199.15 <=> ? [B_x] :
% 198.98/199.15 ( 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)))
% 198.98/199.15 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_bset_I5_J,axiom,
% 198.98/199.15 ! [V_t_2,V_B_2,V_D_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 198.98/199.15 => ! [B_x] :
% 198.98/199.15 ( ! [B_xa] :
% 198.98/199.15 ( 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)))
% 198.98/199.15 => ! [B_xb] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 198.98/199.15 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 198.98/199.15 => 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)) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_aset_I7_J,axiom,
% 198.98/199.15 ! [V_t_2,V_A_2,V_D_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 198.98/199.15 => ! [B_x] :
% 198.98/199.15 ( ! [B_xa] :
% 198.98/199.15 ( 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)))
% 198.98/199.15 => ! [B_xb] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 198.98/199.15 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 198.98/199.15 => 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))) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_code__numeral_Osize_I1_J,axiom,
% 198.98/199.15 c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_code__numeral_Osize_I2_J,axiom,
% 198.98/199.15 ! [V_code__numeral] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(V_code__numeral)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(V_code__numeral)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 198.98/199.15 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_greaterThan__0,axiom,
% 198.98/199.15 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))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_code__numeral_Osize_I3_J,axiom,
% 198.98/199.15 hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_finite__atMost,axiom,
% 198.98/199.15 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Compl__atMost,axiom,
% 198.98/199.15 ! [V_k_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Compl__greaterThan,axiom,
% 198.98/199.15 ! [V_k_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_greaterThan__eq__iff,axiom,
% 198.98/199.15 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)
% 198.98/199.15 <=> V_x_2 = V_y_2 ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atMost__eq__iff,axiom,
% 198.98/199.15 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)
% 198.98/199.15 <=> V_x_2 = V_y_2 ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_code__numeral_Oinject,axiom,
% 198.98/199.15 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 198.98/199.15 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 198.98/199.15 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 198.98/199.15 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 198.98/199.15 ! [V_code__numeral_H_1] : c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_1) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeast0AtMost,axiom,
% 198.98/199.15 ! [V_na_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_card__atMost,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atMost__Suc,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atMost__iff,axiom,
% 198.98/199.15 ! [V_k_2,V_i_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oord(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atMost__subset__iff,axiom,
% 198.98/199.15 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_code__numeral_Osize_I4_J,axiom,
% 198.98/199.15 ! [V_code__numeral] : hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),c_Code__Numeral_OSuc__code__numeral(V_code__numeral)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),V_code__numeral)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_greaterThan__iff,axiom,
% 198.98/199.15 ! [V_k_2,V_i_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oord(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_greaterThan__subset__iff,axiom,
% 198.98/199.15 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atMost__0,axiom,
% 198.98/199.15 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))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Suc__code__numeral__minus__one,axiom,
% 198.98/199.15 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),c_Code__Numeral_OSuc__code__numeral(V_n)),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = V_n ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Int__atLeastAtMostL1,axiom,
% 198.98/199.15 ! [V_d_2,V_b_2,V_a_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Int__atLeastAtMostR1,axiom,
% 198.98/199.15 ! [V_d_2,V_c_2,V_b_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__un_I9_J,axiom,
% 198.98/199.15 ! [V_u_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__int_I3_J,axiom,
% 198.98/199.15 ! [V_u_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__int_I1_J,axiom,
% 198.98/199.15 ! [V_u_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__int_I7_J,axiom,
% 198.98/199.15 ! [V_u_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__un_I11_J,axiom,
% 198.98/199.15 ! [V_u_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__int_I5_J,axiom,
% 198.98/199.15 ! [V_u_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_greaterThan__Suc,axiom,
% 198.98/199.15 ! [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)))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__un_I12_J,axiom,
% 198.98/199.15 ! [V_u_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__un_I7_J,axiom,
% 198.98/199.15 ! [V_u_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__un_I13_J,axiom,
% 198.98/199.15 ! [V_u_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__un_I1_J,axiom,
% 198.98/199.15 ! [V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_finite__lessThan,axiom,
% 198.98/199.15 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeast__eq__iff,axiom,
% 198.98/199.15 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)
% 198.98/199.15 <=> V_x_2 = V_y_2 ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_lessThan__eq__iff,axiom,
% 198.98/199.15 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)
% 198.98/199.15 <=> V_x_2 = V_y_2 ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Compl__lessThan,axiom,
% 198.98/199.15 ! [V_k_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Compl__atLeast,axiom,
% 198.98/199.15 ! [V_k_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_card__lessThan,axiom,
% 198.98/199.15 ! [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 ).
% 198.98/199.15
% 198.98/199.15 fof(fact_lessThan__0,axiom,
% 198.98/199.15 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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_lessThan__Suc,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_lessThan__Suc__atMost,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeast__iff,axiom,
% 198.98/199.15 ! [V_k_2,V_i_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oord(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_lessThan__iff,axiom,
% 198.98/199.15 ! [V_k_2,V_i_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oord(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_lessThan__subset__iff,axiom,
% 198.98/199.15 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeast__subset__iff,axiom,
% 198.98/199.15 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeast__0,axiom,
% 198.98/199.15 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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_lessThan__strict__subset__iff,axiom,
% 198.98/199.15 ! [V_na_2,V_m_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_m_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_na_2)))
% 198.98/199.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_na_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeast__Suc__greaterThan,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_single__Diff__lessThan,axiom,
% 198.98/199.15 ! [V_k_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__int_I4_J,axiom,
% 198.98/199.15 ! [V_u_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Int__atLeastAtMostR2,axiom,
% 198.98/199.15 ! [V_d_2,V_c_2,V_a_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_a_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),V_d_2) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Int__atLeastAtMostL2,axiom,
% 198.98/199.15 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_c_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),V_b_2) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__int_I6_J,axiom,
% 198.98/199.15 ! [V_u_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_image__uminus__atMost,axiom,
% 198.98/199.15 ! [V_x_2,T_b] :
% 198.98/199.15 ( class_Groups_Oordered__ab__group__add(T_b)
% 198.98/199.15 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_image__uminus__atLeast,axiom,
% 198.98/199.15 ! [V_x_2,T_b] :
% 198.98/199.15 ( class_Groups_Oordered__ab__group__add(T_b)
% 198.98/199.15 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeast__Suc,axiom,
% 198.98/199.15 ! [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)))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_image__uminus__lessThan,axiom,
% 198.98/199.15 ! [V_x_2,T_b] :
% 198.98/199.15 ( class_Groups_Oordered__ab__group__add(T_b)
% 198.98/199.15 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_image__uminus__greaterThan,axiom,
% 198.98/199.15 ! [V_x_2,T_b] :
% 198.98/199.15 ( class_Groups_Oordered__ab__group__add(T_b)
% 198.98/199.15 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 198.98/199.15 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__un_I2_J,axiom,
% 198.98/199.15 ! [V_u_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atMost__Int__atLeast,axiom,
% 198.98/199.15 ! [V_na_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_na_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_na_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_na_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__un_I10_J,axiom,
% 198.98/199.15 ! [V_u_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__un_I18_J,axiom,
% 198.98/199.15 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__un_I3_J,axiom,
% 198.98/199.15 ! [V_u_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__un_I6_J,axiom,
% 198.98/199.15 ! [V_u_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 198.98/199.15 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_b,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(V_f2_2,V_code__numeral_2) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_finite__atLeastLessThan,axiom,
% 198.98/199.15 ! [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))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_finite__atLeastLessThan__int,axiom,
% 198.98/199.15 ! [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))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeast0LessThan,axiom,
% 198.98/199.15 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastLessThan__eq__iff,axiom,
% 198.98/199.15 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 198.98/199.15 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)
% 198.98/199.15 <=> ( V_a_2 = V_c_2
% 198.98/199.15 & V_b_2 = V_d_2 ) ) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 198.98/199.15 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 198.98/199.15 => V_a_2 = V_c_2 ) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 198.98/199.15 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 198.98/199.15 => V_b_2 = V_d_2 ) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_all__nat__less__eq,axiom,
% 198.98/199.15 ! [V_Pa_2,V_na_2] :
% 198.98/199.15 ( ! [B_m] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2))
% 198.98/199.15 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 198.98/199.15 <=> ! [B_x] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)))
% 198.98/199.15 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ex__nat__less__eq,axiom,
% 198.98/199.15 ! [V_Pa_2,V_na_2] :
% 198.98/199.15 ( ? [B_m] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2))
% 198.98/199.15 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 198.98/199.15 <=> ? [B_x] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)))
% 198.98/199.15 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastLessThan0,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_card__atLeastLessThan,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_image__Suc__atLeastLessThan,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastLessThan__empty,axiom,
% 198.98/199.15 ! [V_a_2,V_b_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 198.98/199.15 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastLessThan__empty__iff,axiom,
% 198.98/199.15 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.98/199.15 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 198.98/199.15 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)
% 198.98/199.15 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastLessThan__subset__iff,axiom,
% 198.98/199.15 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 198.98/199.15 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 198.98/199.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__un_I17_J,axiom,
% 198.98/199.15 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__diff,axiom,
% 198.98/199.15 ! [V_m_2,V_na_2,V_i_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_na_2))
% 198.98/199.15 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_na_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_na_2),V_m_2) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__int_I11_J,axiom,
% 198.98/199.15 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 198.98/199.15 ! [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))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_setsum__add__nat__ivl,axiom,
% 198.98/199.15 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] :
% 198.98/199.15 ( class_Groups_Ocomm__monoid__add(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2))
% 198.98/199.15 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_na_2),V_p_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2)) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_setsum__diff__nat__ivl,axiom,
% 198.98/199.15 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] :
% 198.98/199.15 ( class_Groups_Oab__group__add(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2))
% 198.98/199.15 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_na_2),V_p_2)) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastLessThan__singleton,axiom,
% 198.98/199.15 ! [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))) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__un_I21_J,axiom,
% 198.98/199.15 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastLessThan__add__Un,axiom,
% 198.98/199.15 ! [V_k_2,V_j_2,V_i_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 198.98/199.15 => 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))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__int_I15_J,axiom,
% 198.98/199.15 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_Int__atLeastLessThan,axiom,
% 198.98/199.15 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__un_I8_J,axiom,
% 198.98/199.15 ! [V_u_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_subset__card__intvl__is__intvl,axiom,
% 198.98/199.15 ! [V_k_2,V_A_2] :
% 198.98/199.15 ( 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)))))
% 198.98/199.15 => 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))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__int_I2_J,axiom,
% 198.98/199.15 ! [V_u_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__int_I9_J,axiom,
% 198.98/199.15 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__un_I14_J,axiom,
% 198.98/199.15 ! [V_u_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_image__uminus__atLeastLessThan,axiom,
% 198.98/199.15 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.15 ( class_Groups_Oordered__ab__group__add(T_b)
% 198.98/199.15 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_x_2),V_y_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 198.98/199.15 ! [V_y_2,V_x_2,T_b] :
% 198.98/199.15 ( class_Groups_Oordered__ab__group__add(T_b)
% 198.98/199.15 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_x_2,V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__int_I8_J,axiom,
% 198.98/199.15 ! [V_u_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Oorder(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 198.98/199.15 ! [V_k_2,V_f_2,T_b] :
% 198.98/199.15 ( class_Groups_Ocomm__monoid__add(T_b)
% 198.98/199.15 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.15 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_setsum__head__upt__Suc,axiom,
% 198.98/199.15 ! [V_f_2,V_na_2,V_m_2,T_b] :
% 198.98/199.15 ( class_Groups_Ocomm__monoid__add(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 198.98/199.15 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),V_na_2))) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_card__atLeastLessThan__int,axiom,
% 198.98/199.15 ! [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)) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 198.98/199.15 ! [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) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_atLeastLessThanSuc,axiom,
% 198.98/199.15 ! [V_na_2,V_m_2] :
% 198.98/199.15 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 198.98/199.15 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_na_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2)) )
% 198.98/199.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 198.98/199.15 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_setsum__op__ivl__Suc,axiom,
% 198.98/199.15 ! [V_f_2,V_m_2,V_na_2,T_b] :
% 198.98/199.15 ( class_Groups_Ocomm__monoid__add(T_b)
% 198.98/199.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 198.98/199.15 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_na_2))) = c_Groups_Ozero__class_Ozero(T_b) )
% 198.98/199.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 198.98/199.15 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_na_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2))),hAPP(V_f_2,V_na_2)) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_ivl__disj__un_I15_J,axiom,
% 198.98/199.15 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 198.98/199.15 ( class_Orderings_Olinorder(T_b)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 198.98/199.15 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 198.98/199.15 ! [V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ).
% 198.98/199.15
% 198.98/199.15 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 198.98/199.15 ! [V_u_2] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 198.98/199.15 => 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))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_decr__lemma,axiom,
% 198.98/199.15 ! [V_z,V_x,V_d] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 198.98/199.15 => 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)) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_incr__lemma,axiom,
% 198.98/199.15 ! [V_x,V_z,V_d] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 198.98/199.15 => 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)))) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_nat__mod__eq__lemma,axiom,
% 198.98/199.15 ! [V_y,V_n,V_x] :
% 198.98/199.15 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 198.98/199.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 198.98/199.15 => ? [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)) ) ) ).
% 198.98/199.15
% 198.98/199.15 fof(fact_mod__induct__0,axiom,
% 198.98/199.15 ! [V_i_2,V_Pa_2,V_p_2] :
% 198.98/199.15 ( ! [B_i] :
% 198.98/199.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 198.98/199.16 => ( hBOOL(hAPP(V_Pa_2,B_i))
% 198.98/199.16 => hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 198.98/199.16 => ( hBOOL(hAPP(V_Pa_2,V_i_2))
% 198.98/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 198.98/199.16 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__zero,axiom,
% 198.98/199.16 ! [T_a] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 198.98/199.16 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__eq__0,axiom,
% 198.98/199.16 ! [V_a_2,T_b] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 198.98/199.16 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 198.98/199.16 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__int__eq,axiom,
% 198.98/199.16 ! [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) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__of__nat,axiom,
% 198.98/199.16 ! [V_n,T_a] :
% 198.98/199.16 ( class_Rings_Olinordered__idom(T_a)
% 198.98/199.16 => 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) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__divide,axiom,
% 198.98/199.16 ! [V_b,V_a,T_a] :
% 198.98/199.16 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 198.98/199.16 => 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)) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__add__abs,axiom,
% 198.98/199.16 ! [V_b,V_a,T_a] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 198.98/199.16 => 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)) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__mult__self,axiom,
% 198.98/199.16 ! [V_a,T_a] :
% 198.98/199.16 ( class_Rings_Olinordered__idom(T_a)
% 198.98/199.16 => 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) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__mult,axiom,
% 198.98/199.16 ! [V_b,V_a,T_a] :
% 198.98/199.16 ( class_Rings_Olinordered__idom(T_a)
% 198.98/199.16 => 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)) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__idempotent,axiom,
% 198.98/199.16 ! [V_a,T_a] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 198.98/199.16 => 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) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_power__abs,axiom,
% 198.98/199.16 ! [V_n,V_a,T_a] :
% 198.98/199.16 ( class_Rings_Olinordered__idom(T_a)
% 198.98/199.16 => 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) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__minus__cancel,axiom,
% 198.98/199.16 ! [V_a,T_a] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 198.98/199.16 => 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) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__le__D1,axiom,
% 198.98/199.16 ! [V_b,V_a,T_a] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 198.98/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 198.98/199.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__ge__self,axiom,
% 198.98/199.16 ! [V_a,T_a] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 198.98/199.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__one,axiom,
% 198.98/199.16 ! [T_a] :
% 198.98/199.16 ( class_Rings_Olinordered__idom(T_a)
% 198.98/199.16 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__minus__commute,axiom,
% 198.98/199.16 ! [V_b,V_a,T_a] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 198.98/199.16 => 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)) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__ge__zero,axiom,
% 198.98/199.16 ! [V_a,T_a] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 198.98/199.16 => 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))) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__le__zero__iff,axiom,
% 198.98/199.16 ! [V_a_2,T_b] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 198.98/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 198.98/199.16 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__of__nonneg,axiom,
% 198.98/199.16 ! [V_a,T_a] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 198.98/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.16 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__not__less__zero,axiom,
% 198.98/199.16 ! [V_a,T_a] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 198.98/199.16 => ~ 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))) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_zero__less__abs__iff,axiom,
% 198.98/199.16 ! [V_a_2,T_b] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 198.98/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)))
% 198.98/199.16 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__of__pos,axiom,
% 198.98/199.16 ! [V_a,T_a] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 198.98/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.16 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__triangle__ineq,axiom,
% 198.98/199.16 ! [V_b,V_a,T_a] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 198.98/199.16 => 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)))) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__mult__less,axiom,
% 198.98/199.16 ! [V_d,V_b,V_c,V_a,T_a] :
% 198.98/199.16 ( class_Rings_Olinordered__idom(T_a)
% 198.98/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 198.98/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 198.98/199.16 => 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))) ) ) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__triangle__ineq2__sym,axiom,
% 198.98/199.16 ! [V_b,V_a,T_a] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 198.98/199.16 => 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)))) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__triangle__ineq2,axiom,
% 198.98/199.16 ! [V_b,V_a,T_a] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 198.98/199.16 => 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)))) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__triangle__ineq3,axiom,
% 198.98/199.16 ! [V_b,V_a,T_a] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 198.98/199.16 => 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)))) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__ge__minus__self,axiom,
% 198.98/199.16 ! [V_a,T_a] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 198.98/199.16 => 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))) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__le__iff,axiom,
% 198.98/199.16 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 198.98/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 198.98/199.16 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 198.98/199.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__leI,axiom,
% 198.98/199.16 ! [V_b,V_a,T_a] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 198.98/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 198.98/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 198.98/199.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__le__D2,axiom,
% 198.98/199.16 ! [V_b,V_a,T_a] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 198.98/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 198.98/199.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__less__iff,axiom,
% 198.98/199.16 ! [V_b_2,V_a_2,T_b] :
% 198.98/199.16 ( class_Rings_Olinordered__idom(T_b)
% 198.98/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 198.98/199.16 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 198.98/199.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_nonzero__abs__divide,axiom,
% 198.98/199.16 ! [V_a,V_b,T_a] :
% 198.98/199.16 ( class_Fields_Olinordered__field(T_a)
% 198.98/199.16 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 198.98/199.16 => 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)) ) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__power__minus,axiom,
% 198.98/199.16 ! [V_n,V_a,T_a] :
% 198.98/199.16 ( class_Rings_Olinordered__idom(T_a)
% 198.98/199.16 => 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)) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__zmult__eq__1,axiom,
% 198.98/199.16 ! [V_n,V_m] :
% 198.98/199.16 ( 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)
% 198.98/199.16 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__sgn,axiom,
% 198.98/199.16 ! [V_k,T_a] :
% 198.98/199.16 ( class_Rings_Olinordered__idom(T_a)
% 198.98/199.16 => 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)) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_mult__sgn__abs,axiom,
% 198.98/199.16 ! [V_x,T_a] :
% 198.98/199.16 ( class_Rings_Olinordered__idom(T_a)
% 198.98/199.16 => 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 ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__mult__pos,axiom,
% 198.98/199.16 ! [V_y,V_x,T_a] :
% 198.98/199.16 ( class_Rings_Olinordered__idom(T_a)
% 198.98/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 198.98/199.16 => 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)) ) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__eq__mult,axiom,
% 198.98/199.16 ! [V_b,V_a,T_a] :
% 198.98/199.16 ( class_Rings_Oordered__ring__abs(T_a)
% 198.98/199.16 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 198.98/199.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 198.98/199.16 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 198.98/199.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 198.98/199.16 => 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)) ) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__diff__triangle__ineq,axiom,
% 198.98/199.16 ! [V_d,V_c,V_b,V_a,T_a] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 198.98/199.16 => 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))))) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__triangle__ineq4,axiom,
% 198.98/199.16 ! [V_b,V_a,T_a] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 198.98/199.16 => 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)))) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__minus__le__zero,axiom,
% 198.98/199.16 ! [V_a,T_a] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 198.98/199.16 => 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))) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__of__nonpos,axiom,
% 198.98/199.16 ! [V_a,T_a] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 198.98/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.16 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__if,axiom,
% 198.98/199.16 ! [V_a,T_a] :
% 198.98/199.16 ( class_Groups_Oabs__if(T_a)
% 198.98/199.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.16 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 198.98/199.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.16 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__of__neg,axiom,
% 198.98/199.16 ! [V_a,T_a] :
% 198.98/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 198.98/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 198.98/199.16 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_zero__le__power__abs,axiom,
% 198.98/199.16 ! [V_n,V_a,T_a] :
% 198.98/199.16 ( class_Rings_Olinordered__idom(T_a)
% 198.98/199.16 => 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))) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__div__pos,axiom,
% 198.98/199.16 ! [V_x,V_y,T_a] :
% 198.98/199.16 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 198.98/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 198.98/199.16 => 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)) ) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__minus__one,axiom,
% 198.98/199.16 ! [T_a] :
% 198.98/199.16 ( ( class_Int_Onumber__ring(T_a)
% 198.98/199.16 & class_Rings_Olinordered__idom(T_a) )
% 198.98/199.16 => 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) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_zabs__less__one__iff,axiom,
% 198.98/199.16 ! [V_z_2] :
% 198.98/199.16 ( 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)))
% 198.98/199.16 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_zabs__def,axiom,
% 198.98/199.16 ! [V_i] :
% 198.98/199.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.16 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 198.98/199.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.98/199.16 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_nat__abs__mult__distrib,axiom,
% 198.98/199.16 ! [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))) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_zero__le__zpower__abs,axiom,
% 198.98/199.16 ! [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))) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__number__of,axiom,
% 198.98/199.16 ! [V_x,T_a] :
% 198.98/199.16 ( ( class_Int_Onumber__ring(T_a)
% 198.98/199.16 & class_Rings_Olinordered__idom(T_a) )
% 198.98/199.16 => ( ( 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)))
% 198.98/199.16 => 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)) )
% 198.98/199.16 & ( ~ 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)))
% 198.98/199.16 => 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) ) ) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_abs__power__minus__one,axiom,
% 198.98/199.16 ! [V_n,T_a] :
% 198.98/199.16 ( ( class_Int_Onumber__ring(T_a)
% 198.98/199.16 & class_Rings_Olinordered__idom(T_a) )
% 198.98/199.16 => 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) ) ).
% 198.98/199.16
% 198.98/199.16 fof(fact_zero__less__zpower__abs__iff,axiom,
% 198.98/199.16 ! [V_na_2,V_x_2] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x_2)),V_na_2)))
% 199.17/199.16 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_power2__abs,axiom,
% 199.17/199.16 ! [V_a,T_a] :
% 199.17/199.16 ( class_Rings_Olinordered__idom(T_a)
% 199.17/199.16 => 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)))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_abs__power2,axiom,
% 199.17/199.16 ! [V_a,T_a] :
% 199.17/199.16 ( class_Rings_Olinordered__idom(T_a)
% 199.17/199.16 => 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)))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 199.17/199.16 ! [V_y,V_x] : c_Nitpick_Oint__lcm(V_x,V_y) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nitpick_Onat__lcm(hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_y)))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_int__val__lemma,axiom,
% 199.17/199.16 ! [V_k_2,V_f_2,V_na_2] :
% 199.17/199.16 ( ! [B_i] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2))
% 199.17/199.16 => 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))) )
% 199.17/199.16 => ( 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))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2)))
% 199.17/199.16 => ? [B_i] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2))
% 199.17/199.16 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_nat0__intermed__int__val,axiom,
% 199.17/199.16 ! [V_k_2,V_f_2,V_na_2] :
% 199.17/199.16 ( ! [B_i] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2))
% 199.17/199.16 => 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))) )
% 199.17/199.16 => ( 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))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2)))
% 199.17/199.16 => ? [B_i] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2))
% 199.17/199.16 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__ivl__cong,axiom,
% 199.17/199.16 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] :
% 199.17/199.16 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 199.17/199.16 & class_Orderings_Oord(T_b) )
% 199.17/199.16 => ( V_a_2 = V_c_2
% 199.17/199.16 => ( V_b_2 = V_d_2
% 199.17/199.16 => ( ! [B_x] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2))
% 199.17/199.16 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)) ) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 199.17/199.16 ! [V_y,V_x] : c_Nitpick_Onat__lcm(V_x,V_y) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x),V_y)),c_Nitpick_Onat__gcd(V_x,V_y)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_nat__intermed__int__val,axiom,
% 199.17/199.16 ! [V_k_2,V_f_2,V_na_2,V_m_2] :
% 199.17/199.16 ( ! [B_i] :
% 199.17/199.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 199.17/199.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) )
% 199.17/199.16 => 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))) )
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2)))
% 199.17/199.16 => ? [B_i] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 199.17/199.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2))
% 199.17/199.16 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_log_Osimps,axiom,
% 199.17/199.16 ! [V_i,V_b] :
% 199.17/199.16 ( ( ( 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)))
% 199.17/199.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 199.17/199.16 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 199.17/199.16 & ( ~ ( 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)))
% 199.17/199.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 199.17/199.16 => 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))) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_nat__gcd_Osimps,axiom,
% 199.17/199.16 ! [V_x,V_y] :
% 199.17/199.16 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.16 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 199.17/199.16 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.16 => c_Nitpick_Onat__gcd(V_x,V_y) = c_Nitpick_Onat__gcd(V_y,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_y)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_minus__shift__def,axiom,
% 199.17/199.16 ! [V_r,V_l,V_k] :
% 199.17/199.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 199.17/199.16 => 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) )
% 199.17/199.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 199.17/199.16 => 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) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_inc__shift__def,axiom,
% 199.17/199.16 ! [V_k,V_v] :
% 199.17/199.16 ( ( V_v = V_k
% 199.17/199.16 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 199.17/199.16 & ( V_v != V_k
% 199.17/199.16 => 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)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 199.17/199.16 ! [V_y,V_x] : hAPP(hAPP(c_Nitpick_Oint__gcd,V_x),V_y) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nitpick_Onat__gcd(hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_y)))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setprod__nonneg,axiom,
% 199.17/199.16 ! [V_f_2,V_A_2,T_b,T_c] :
% 199.17/199.16 ( class_Rings_Olinordered__semidom(T_c)
% 199.17/199.16 => ( ! [B_x] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_field__le__epsilon,axiom,
% 199.17/199.16 ! [V_y,V_x,T_a] :
% 199.17/199.16 ( class_Fields_Olinordered__field(T_a)
% 199.17/199.16 => ( ! [B_e] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e))
% 199.17/199.16 => 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))) )
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_minus__code__numeral__code,axiom,
% 199.17/199.16 ! [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) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_subtract__code__numeral__def,axiom,
% 199.17/199.16 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_pair__box_Osize_I1_J,axiom,
% 199.17/199.16 ! [V_b_2,V_a_2,V_fb_2,V_fa_2,T_c,T_b] : c_Nitpick_Opair__box_Opair__box__size(T_b,T_c,V_fa_2,V_fb_2,c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(V_fb_2,V_b_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_pair__box_Oinject,axiom,
% 199.17/199.16 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 199.17/199.16 ( c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2) = c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_H_2,V_b_H_2)
% 199.17/199.16 <=> ( V_a_2 = V_a_H_2
% 199.17/199.16 & V_b_2 = V_b_H_2 ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_pair__box_Osize_I2_J,axiom,
% 199.17/199.16 ! [V_b,V_a,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(T_a,T_b)),c_Nitpick_Opair__box_OPairBox(T_a,T_b,V_a,V_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_pair__box_Orecs,axiom,
% 199.17/199.16 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__rec(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_pair__box_Osimps_I2_J,axiom,
% 199.17/199.16 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__case(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_arith__series__int,axiom,
% 199.17/199.16 ! [V_na_2,V_d_2,V_a_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__abs,axiom,
% 199.17/199.16 ! [V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__abs__ge__zero,axiom,
% 199.17/199.16 ! [V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 199.17/199.16 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] :
% 199.17/199.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 199.17/199.16 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] :
% 199.17/199.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum_Odistrib,axiom,
% 199.17/199.16 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 199.17/199.16 ( class_Groups_Ocomm__monoid__add(T_c)
% 199.17/199.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Oplus__class_Oplus(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),V_A_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_less__eq__Suc__le__raw,axiom,
% 199.17/199.16 ! [V_na_2] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_pred__subset__eq,axiom,
% 199.17/199.16 ! [V_S_2,V_R_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))
% 199.17/199.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__addf,axiom,
% 199.17/199.16 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 199.17/199.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_nat__number__of__Bit0,axiom,
% 199.17/199.16 ! [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))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 199.17/199.16 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 199.17/199.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_na_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_of__nat__setsum,axiom,
% 199.17/199.16 ! [V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.16 ( class_Rings_Osemiring__1(T_b)
% 199.17/199.16 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__subtractf,axiom,
% 199.17/199.16 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 199.17/199.16 ( class_Groups_Oab__group__add(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_fun__diff__def,axiom,
% 199.17/199.16 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 199.17/199.16 ( class_Groups_Ominus(T_b)
% 199.17/199.16 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,T_b)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setprod__dividef,axiom,
% 199.17/199.16 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 199.17/199.16 ( class_Fields_Ofield__inverse__zero(T_c)
% 199.17/199.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Rings_Oinverse__class_Odivide(T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setprod__1,axiom,
% 199.17/199.16 ! [V_A_2,T_c,T_b] :
% 199.17/199.16 ( class_Groups_Ocomm__monoid__mult(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Oone__class_Oone(T_b))),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_image__ident,axiom,
% 199.17/199.16 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 199.17/199.16
% 199.17/199.16 fof(fact_image__image,axiom,
% 199.17/199.16 ! [V_A_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_d,T_c,V_g_2),V_A_2)) = hAPP(c_Set_Oimage(T_d,T_b,hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_f_2),V_g_2)),V_A_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_int__setsum,axiom,
% 199.17/199.16 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__negf,axiom,
% 199.17/199.16 ! [V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.16 ( class_Groups_Oab__group__add(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__divide__distrib,axiom,
% 199.17/199.16 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.16 ( class_Fields_Ofield(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Rings_Oinverse__class_Odivide(T_b)),V_f_2)),V_r_2)),V_A_2) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__commute,axiom,
% 199.17/199.16 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 199.17/199.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_b),T_d),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))),V_A_2)),V_B_2) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__right__distrib,axiom,
% 199.17/199.16 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] :
% 199.17/199.16 ( class_Rings_Osemiring__0(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2)),V_f_2)),V_A_2) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__left__distrib,axiom,
% 199.17/199.16 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.16 ( class_Rings_Osemiring__0(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_r_2)),V_A_2) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__product,axiom,
% 199.17/199.16 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.16 ( class_Rings_Osemiring__0(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,T_b),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_b),tc_fun(tc_fun(T_d,T_b),tc_fun(T_d,T_b)),T_c),c_COMBB(T_b,T_b,T_d)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2))),V_g_2))),V_B_2)),V_A_2) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_of__int__setsum,axiom,
% 199.17/199.16 ! [V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.16 ( class_Rings_Oring__1(T_b)
% 199.17/199.16 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_of__int__setprod,axiom,
% 199.17/199.16 ! [V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.16 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 199.17/199.16 & class_Rings_Oring__1(T_b) )
% 199.17/199.16 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_bot__empty__eq,axiom,
% 199.17/199.16 ! [V_x_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2))
% 199.17/199.16 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_bot__fun__def,axiom,
% 199.17/199.16 ! [V_x_2,T_c,T_b] :
% 199.17/199.16 ( class_Orderings_Obot(T_b)
% 199.17/199.16 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_pred__equals__eq,axiom,
% 199.17/199.16 ! [V_S_2,V_R_2,T_b] :
% 199.17/199.16 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)
% 199.17/199.16 <=> V_R_2 = V_S_2 ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setprod__timesf,axiom,
% 199.17/199.16 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 199.17/199.16 ( class_Groups_Ocomm__monoid__mult(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),V_A_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 199.17/199.16 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 199.17/199.16 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 199.17/199.16 => c_Finite__Set_Ofun__left__comm(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 199.17/199.16 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 199.17/199.16 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 199.17/199.16 => c_Finite__Set_Ofun__left__comm__idem(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_fun__upd__def,axiom,
% 199.17/199.16 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] :
% 199.17/199.16 ( ( V_x_2 = V_a_2
% 199.17/199.16 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 )
% 199.17/199.16 & ( V_x_2 != V_a_2
% 199.17/199.16 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_fun__Compl__def,axiom,
% 199.17/199.16 ! [V_x_2,V_A_2,T_c,T_b] :
% 199.17/199.16 ( class_Groups_Ouminus(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_fold__image__def,axiom,
% 199.17/199.16 ! [V_g_2,V_f_2,T_c,T_b] : hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2) = c_Finite__Set_Ofold(T_c,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_int__setprod,axiom,
% 199.17/199.16 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_sup__fun__def,axiom,
% 199.17/199.16 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 199.17/199.16 ( class_Lattices_Olattice(T_b)
% 199.17/199.16 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_inf__fun__def,axiom,
% 199.17/199.16 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 199.17/199.16 ( class_Lattices_Olattice(T_b)
% 199.17/199.16 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_inf__Int__eq,axiom,
% 199.17/199.16 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)),V_x_2))
% 199.17/199.16 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_sup__Un__eq,axiom,
% 199.17/199.16 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)),V_x_2))
% 199.17/199.16 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setprod_Odistrib,axiom,
% 199.17/199.16 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 199.17/199.16 ( class_Groups_Ocomm__monoid__mult(T_c)
% 199.17/199.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_A_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_finite__range__imageI,axiom,
% 199.17/199.16 ! [V_f_2,T_d,V_g_2,T_c,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))))
% 199.17/199.16 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(c_Set_Oimage(T_c,T_d,hAPP(hAPP(c_COMBB(T_b,T_d,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_image__constant__conv,axiom,
% 199.17/199.16 ! [V_c_2,T_c,T_b,V_A_2] :
% 199.17/199.16 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 199.17/199.16 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__0,axiom,
% 199.17/199.16 ! [V_A_2,T_c,T_b] :
% 199.17/199.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_range__composition,axiom,
% 199.17/199.16 ! [V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBB(T_d,T_b,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 199.17/199.16 ! [V_A_2,V_f_2,T_b] :
% 199.17/199.16 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 199.17/199.16 & class_Groups_Ocomm__monoid__mult(T_b) )
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 199.17/199.16 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 199.17/199.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_na_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_card__eq__setsum,axiom,
% 199.17/199.16 ! [V_A_2,T_b] : hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_A_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 199.17/199.16 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_abs__setsum__abs,axiom,
% 199.17/199.16 ! [V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.16 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 199.17/199.16 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_abs__setprod,axiom,
% 199.17/199.16 ! [V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.16 ( class_Fields_Olinordered__field(T_b)
% 199.17/199.16 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_of__nat__setprod,axiom,
% 199.17/199.16 ! [V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.16 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 199.17/199.16 & class_Rings_Osemiring__1(T_b) )
% 199.17/199.16 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 199.17/199.16 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_image__add__atLeastLessThan,axiom,
% 199.17/199.16 ! [V_j_2,V_i_2,V_k_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_image__add__atLeastAtMost,axiom,
% 199.17/199.16 ! [V_j_2,V_i_2,V_k_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__delta_H,axiom,
% 199.17/199.16 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 199.17/199.16 ( class_Groups_Ocomm__monoid__add(T_c)
% 199.17/199.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 199.17/199.16 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 199.17/199.16 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__delta,axiom,
% 199.17/199.16 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 199.17/199.16 ( class_Groups_Ocomm__monoid__add(T_c)
% 199.17/199.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 199.17/199.16 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 199.17/199.16 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_image__constant,axiom,
% 199.17/199.16 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 199.17/199.16 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setprod__delta_H,axiom,
% 199.17/199.16 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 199.17/199.16 ( class_Groups_Ocomm__monoid__mult(T_c)
% 199.17/199.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 199.17/199.16 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 199.17/199.16 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setprod__delta,axiom,
% 199.17/199.16 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 199.17/199.16 ( class_Groups_Ocomm__monoid__mult(T_c)
% 199.17/199.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 199.17/199.16 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 199.17/199.16 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__constant,axiom,
% 199.17/199.16 ! [V_A_2,V_y_2,T_c,T_b] :
% 199.17/199.16 ( class_Rings_Osemiring__1(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_y_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Finite__Set_Ocard(T_c),V_A_2))),V_y_2) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_power__number__of__even,axiom,
% 199.17/199.16 ! [V_w_2,V_z_2,T_b] :
% 199.17/199.16 ( class_Int_Onumber__ring(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_fold__image__distrib,axiom,
% 199.17/199.16 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 199.17/199.16 ( class_Groups_Ocomm__monoid__mult(T_c)
% 199.17/199.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.16 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),c_Groups_Oone__class_Oone(T_c)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_dual__max,axiom,
% 199.17/199.16 ! [T_b] :
% 199.17/199.16 ( class_Orderings_Olinorder(T_b)
% 199.17/199.16 => c_Orderings_Oord_Omax(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_dual__min,axiom,
% 199.17/199.16 ! [T_b] :
% 199.17/199.16 ( class_Orderings_Olinorder(T_b)
% 199.17/199.16 => c_Orderings_Oord_Omin(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setprod__constant,axiom,
% 199.17/199.16 ! [V_y_2,V_A_2,T_b,T_c] :
% 199.17/199.16 ( class_Groups_Ocomm__monoid__mult(T_c)
% 199.17/199.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_COMBK(T_c,T_b),V_y_2)),V_A_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_y_2),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_zpower__number__of__even,axiom,
% 199.17/199.16 ! [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))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__lessThan__Suc,axiom,
% 199.17/199.16 ! [V_na_2,V_f_2,T_b] :
% 199.17/199.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))),hAPP(V_f_2,V_na_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__atMost__Suc,axiom,
% 199.17/199.16 ! [V_na_2,V_f_2,T_b] :
% 199.17/199.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_na_2))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 199.17/199.16 ! [V_A_2,V_f_2,T_b] :
% 199.17/199.16 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 199.17/199.16 & class_Groups_Ocomm__monoid__mult(T_b) )
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_image__add__int__atLeastLessThan,axiom,
% 199.17/199.16 ! [V_u_2,V_l_2] : hAPP(c_Set_Oimage(tc_Int_Oint,tc_Int_Oint,hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 199.17/199.16 ! [V_f_2,V_A_2,T_b] :
% 199.17/199.16 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 199.17/199.16 & class_Groups_Ocomm__monoid__mult(T_b) )
% 199.17/199.16 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_Powp__Pow__eq,axiom,
% 199.17/199.16 ! [V_x_2,V_A_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),V_x_2))
% 199.17/199.16 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__restrict__set,axiom,
% 199.17/199.16 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 199.17/199.16 ( class_Groups_Ocomm__monoid__add(T_c)
% 199.17/199.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_image__eq__fold__image,axiom,
% 199.17/199.16 ! [V_f_2,T_c,V_A_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.16 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(T_c,tc_HOL_Obool),T_b,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Set_Oinsert(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_A_2) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_power__number__of__even__number__of,axiom,
% 199.17/199.16 ! [V_w_2,V_v_2,T_b] :
% 199.17/199.16 ( class_Int_Onumber__ring(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_card_Oeq__fold__g,axiom,
% 199.17/199.16 ! [V_A_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.16 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_b,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_card__def,axiom,
% 199.17/199.16 ! [V_A_2,T_b] :
% 199.17/199.16 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.16 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_b,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) )
% 199.17/199.16 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.16 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_fun__left__comm__idem__remove,axiom,
% 199.17/199.16 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_diff__nat__eq__if,axiom,
% 199.17/199.16 ! [V_z_2,V_z_H_2] :
% 199.17/199.16 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 199.17/199.16 => 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) )
% 199.17/199.16 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 199.17/199.16 => 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)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 199.17/199.16 ! [V_f_2,V_A_2,T_b] :
% 199.17/199.16 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 199.17/199.16 & class_Groups_Ocomm__monoid__mult(T_b) )
% 199.17/199.16 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__head,axiom,
% 199.17/199.16 ! [V_Pa_2,V_na_2,V_m_2,T_b] :
% 199.17/199.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_Pa_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_Pa_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_Pa_2),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_m_2,V_na_2))) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_minus__fold__remove,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.16 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2),V_A_2) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_Suc__eq__number__of,axiom,
% 199.17/199.16 ! [V_v_2,V_na_2] :
% 199.17/199.16 ( hAPP(c_Nat_OSuc,V_na_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 199.17/199.16 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),V_na_2))))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_eq__number__of__Suc,axiom,
% 199.17/199.16 ! [V_na_2,V_v_2] :
% 199.17/199.16 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_na_2)
% 199.17/199.16 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),V_na_2))))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_nat__number__of__Bit1,axiom,
% 199.17/199.16 ! [V_w_2] :
% 199.17/199.16 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 199.17/199.16 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 199.17/199.16 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 199.17/199.16 => 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)))) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_geometric__sum,axiom,
% 199.17/199.16 ! [V_na_2,V_x_2,T_b] :
% 199.17/199.16 ( class_Fields_Ofield(T_b)
% 199.17/199.16 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_Power_Opower__class_Opower(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),V_na_2)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_x_2),c_Groups_Oone__class_Oone(T_b))) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_gauss__sum,axiom,
% 199.17/199.16 ! [V_na_2,T_b] :
% 199.17/199.16 ( class_Rings_Ocomm__semiring__1(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_na_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),c_Groups_Oone__class_Oone(T_b))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__natinterval__difff,axiom,
% 199.17/199.16 ! [V_f_2,V_na_2,V_m_2,T_b] :
% 199.17/199.16 ( class_Groups_Oab__group__add(T_b)
% 199.17/199.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )
% 199.17/199.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_less__Suc__number__of,axiom,
% 199.17/199.16 ! [V_v_2,V_na_2] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)))
% 199.17/199.16 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2)),c_Int_Onat))))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_less__number__of__Suc,axiom,
% 199.17/199.16 ! [V_na_2,V_v_2] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_na_2)))
% 199.17/199.16 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Int_Onat)),V_na_2)))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_le__Suc__number__of,axiom,
% 199.17/199.16 ! [V_v_2,V_na_2] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)))
% 199.17/199.16 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2)),c_Int_Onat))))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_le__number__of__Suc,axiom,
% 199.17/199.16 ! [V_na_2,V_v_2] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_na_2)))
% 199.17/199.16 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Int_Onat)),V_na_2)))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_max__Suc__number__of,axiom,
% 199.17/199.16 ! [V_na_2,V_v_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,V_na_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Int_Onat)),V_na_2)))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_max__number__of__Suc,axiom,
% 199.17/199.16 ! [V_v_2,V_na_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,V_na_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_na_2)),c_Int_Onat)))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_power__number__of__odd,axiom,
% 199.17/199.16 ! [V_z_2,V_w_2,T_b] :
% 199.17/199.16 ( class_Int_Onumber__ring(T_b)
% 199.17/199.16 => ( ( 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)))
% 199.17/199.16 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2))),c_COMBI(T_b))) )
% 199.17/199.16 & ( ~ 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)))
% 199.17/199.16 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setprod__gen__delta,axiom,
% 199.17/199.16 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 199.17/199.16 ( class_Groups_Ocomm__monoid__mult(T_c)
% 199.17/199.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 199.17/199.16 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_c_2)),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_b_2,V_a_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )
% 199.17/199.16 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_c_2)),V_S_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_c_2),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)) ) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 199.17/199.16 ! [V_x_2,V_y_2,V_c_2] :
% 199.17/199.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 199.17/199.16 => 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)) )
% 199.17/199.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 199.17/199.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 199.17/199.16 => 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))) )
% 199.17/199.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 199.17/199.16 => 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)) ) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_zpower__number__of__odd,axiom,
% 199.17/199.16 ! [V_z_2,V_w_2] :
% 199.17/199.16 ( ( 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)))
% 199.17/199.16 => 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))) )
% 199.17/199.16 & ( ~ 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)))
% 199.17/199.16 => 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) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_arith__series__general,axiom,
% 199.17/199.16 ! [V_na_2,V_d_2,V_a_2,T_b] :
% 199.17/199.16 ( class_Rings_Ocomm__semiring__1(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(T_b)),c_Nat_Osemiring__1__class_Oof__nat(T_b))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_min__Suc__number__of,axiom,
% 199.17/199.16 ! [V_na_2,V_v_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Orderings_Oord__class_Omin(tc_Nat_Onat)),c_Int_Onat)),V_na_2)))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_min__number__of__Suc,axiom,
% 199.17/199.16 ! [V_v_2,V_na_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_na_2)),c_Int_Onat)))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_arith__series__nat,axiom,
% 199.17/199.16 ! [V_na_2,V_d_2,V_a_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_d_2)))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_power__number__of__odd__number__of,axiom,
% 199.17/199.16 ! [V_v_2,V_w_2,T_b] :
% 199.17/199.16 ( class_Int_Onumber__ring(T_b)
% 199.17/199.16 => ( ( 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)))
% 199.17/199.16 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)))),c_COMBI(T_b))) )
% 199.17/199.16 & ( ~ 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)))
% 199.17/199.16 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_diff__nat__number__of,axiom,
% 199.17/199.16 ! [V_v_2,V_v_H_2] :
% 199.17/199.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 199.17/199.16 => 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) )
% 199.17/199.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 199.17/199.16 => 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)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_nat__case__add__eq__if,axiom,
% 199.17/199.16 ! [V_na_2,V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_na_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,V_na_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_na_2)))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_nat__case__number__of,axiom,
% 199.17/199.16 ! [V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_nat__rec__add__eq__if,axiom,
% 199.17/199.16 ! [V_na_2,V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_na_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),V_na_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_na_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_na_2))))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 199.17/199.16 ! [V_na_2,T_b] :
% 199.17/199.16 ( class_Rings_Osemiring__1(T_b)
% 199.17/199.16 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_Groups_Oone__class_Oone(T_b)),V_na_2,c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_nat__rec__0,axiom,
% 199.17/199.16 ! [V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 199.17/199.16
% 199.17/199.16 fof(fact_nat__rec__Suc,axiom,
% 199.17/199.16 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(hAPP(V_f2_2,V_nat_2),hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),V_nat_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_nat__case__0,axiom,
% 199.17/199.16 ! [V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 199.17/199.16
% 199.17/199.16 fof(fact_nat__case__Suc,axiom,
% 199.17/199.16 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(V_f2_2,V_nat_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 199.17/199.16 ! [V_i_2,V_inc_2,T_b] :
% 199.17/199.16 ( class_Rings_Osemiring__1(T_b)
% 199.17/199.16 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2) = V_i_2 ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 199.17/199.16 ! [V_i_2,V_na_2,V_inc_2,T_b] :
% 199.17/199.16 ( class_Rings_Osemiring__1(T_b)
% 199.17/199.16 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,hAPP(c_Nat_OSuc,V_na_2),V_i_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,V_na_2,hAPP(V_inc_2,V_i_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_max__Suc1,axiom,
% 199.17/199.16 ! [V_m_2,V_na_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_na_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_na_2)),V_m_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_max__Suc2,axiom,
% 199.17/199.16 ! [V_na_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_na_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),V_na_2)),V_m_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 199.17/199.16 ! [V_na_2,V_m_2] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2))
% 199.17/199.16 <=> hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_diff__Suc,axiom,
% 199.17/199.16 ! [V_na_2,V_m_2] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_COMBI(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_na_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_min__Suc1,axiom,
% 199.17/199.16 ! [V_m_2,V_na_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_na_2)),V_m_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_min__Suc2,axiom,
% 199.17/199.16 ! [V_na_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Oord__class_Omin(tc_Nat_Onat)),V_na_2)),V_m_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_nat__rec__number__of,axiom,
% 199.17/199.16 ! [V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),c_Int_Onat)))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 199.17/199.16 ! [V_f_2,V_A_2,T_b] :
% 199.17/199.16 ( ! [B_x] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.16 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 199.17/199.16 ! [V_f_2,V_A_2,T_b] :
% 199.17/199.16 ( ! [B_x] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.16 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 199.17/199.16 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_of__int__num,axiom,
% 199.17/199.16 ! [V_k_2,T_b] :
% 199.17/199.16 ( class_Rings_Oring__1(T_b)
% 199.17/199.16 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) )
% 199.17/199.16 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 199.17/199.16 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k_2))) )
% 199.17/199.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 199.17/199.16 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),T_b),tc_fun(tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),tc_Int_Oint),c_COMBB(tc_fun(T_b,T_b),T_b,tc_Int_Oint)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,T_b),T_b),tc_Int_Oint),c_HOL_OLet(T_b,T_b)),c_Int_Oring__1__class_Oof__int(T_b)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,T_b)),tc_Int_Oint),c_COMBS(T_b,T_b,T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),tc_Int_Oint),c_COMBB(T_b,tc_fun(T_b,T_b),T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b))))),hAPP(hAPP(c_COMBC(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Oplus__class_Oplus(T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b)))),c_Groups_Oone__class_Oone(T_b))))),c_Divides_Odivmod__int(V_k_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_adjust__eq,axiom,
% 199.17/199.16 ! [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))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_divmod__int__mod__div,axiom,
% 199.17/199.16 ! [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)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_inf__Int__eq2,axiom,
% 199.17/199.16 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2))
% 199.17/199.16 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_sup__Un__eq2,axiom,
% 199.17/199.16 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2))
% 199.17/199.16 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_pred__equals__eq2,axiom,
% 199.17/199.16 ! [V_S_2,V_R_2,T_c,T_b] :
% 199.17/199.16 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)
% 199.17/199.16 <=> V_R_2 = V_S_2 ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_bot__empty__eq2,axiom,
% 199.17/199.16 ! [V_y_2,V_x_2,T_c,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2))
% 199.17/199.16 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_pred__subset__eq2,axiom,
% 199.17/199.16 ! [V_S_2,V_R_2,T_c,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)))
% 199.17/199.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_adjust__def,axiom,
% 199.17/199.16 ! [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))))))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_Nitpick_OFrac__def,axiom,
% 199.17/199.16 c_Nitpick_OFrac = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),c_fequal)),c_Nitpick_Oint__gcd))),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_pair__imageI,axiom,
% 199.17/199.16 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_A_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_member(T_d),hAPP(hAPP(V_f_2,V_a_2),V_b_2)),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),V_A_2))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_norm__frac_Osimps,axiom,
% 199.17/199.16 ! [V_a_2,V_b_2] :
% 199.17/199.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 199.17/199.16 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b_2)) )
% 199.17/199.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 199.17/199.16 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 199.17/199.16 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 199.17/199.16 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 199.17/199.16 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Nitpick_Oint__gcd,V_a_2),V_b_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2))),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b_2))) ) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 199.17/199.16 ! [V_w] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => ( ( 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))))
% 199.17/199.16 => 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))) )
% 199.17/199.16 & ( ~ 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))))
% 199.17/199.16 => 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)))) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_sup2E,axiom,
% 199.17/199.16 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 199.17/199.16 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_sup2CI,axiom,
% 199.17/199.16 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] :
% 199.17/199.16 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 199.17/199.16 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_inf2I,axiom,
% 199.17/199.16 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_inf2E,axiom,
% 199.17/199.16 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 199.17/199.16 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 199.17/199.16 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_mem__splitI,axiom,
% 199.17/199.16 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2)))
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_splitI,axiom,
% 199.17/199.16 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_prod__caseI,axiom,
% 199.17/199.16 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_bot2E,axiom,
% 199.17/199.16 ! [V_y_2,V_x_2,T_c,T_b] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_splitD,axiom,
% 199.17/199.16 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 199.17/199.16 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_splitD_H,axiom,
% 199.17/199.16 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_R_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_c_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_sup2I1,axiom,
% 199.17/199.16 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_sup2I2,axiom,
% 199.17/199.16 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_inf2D1,axiom,
% 199.17/199.16 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_inf2D2,axiom,
% 199.17/199.16 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_rev__predicate2D,axiom,
% 199.17/199.16 ! [V_Q_2,T_c,T_b,V_y_2,V_x_2,V_Pa_2] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_Pa_2),V_Q_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_predicate2D,axiom,
% 199.17/199.16 ! [V_y_2,V_x_2,V_Q_2,V_Pa_2,T_c,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_Pa_2),V_Q_2))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_less__by__empty,axiom,
% 199.17/199.16 ! [V_B_2,T_b,V_A_2] :
% 199.17/199.16 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_Pair__inject,axiom,
% 199.17/199.16 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 199.17/199.16 ( 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)
% 199.17/199.16 => ~ ( V_a = V_a_H
% 199.17/199.16 => V_b != V_b_H ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_Pair__eq,axiom,
% 199.17/199.16 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 199.17/199.16 ( hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2)
% 199.17/199.16 <=> ( V_a_2 = V_a_H_2
% 199.17/199.16 & V_b_2 = V_b_H_2 ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_split__paired__All,axiom,
% 199.17/199.16 ! [T_c,T_b,V_Pa_2] :
% 199.17/199.16 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 199.17/199.16 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_split__weak__cong,axiom,
% 199.17/199.16 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] :
% 199.17/199.16 ( V_p_2 = V_q_2
% 199.17/199.16 => hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_c_2),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_c_2),V_q_2) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_split__twice,axiom,
% 199.17/199.16 ! [V_p_2,V_g_2,T_f,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,tc_prod(T_c,T_d)),V_g_2),V_p_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_f,tc_prod(T_c,T_d)),tc_fun(T_f,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_f),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2))),V_g_2)),V_p_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_prod_Osimps_I2_J,axiom,
% 199.17/199.16 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_split__conv,axiom,
% 199.17/199.16 ! [V_b_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f_2,V_a_2),V_b_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_negDivAlg__div__mod,axiom,
% 199.17/199.16 ! [V_l,V_k] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 199.17/199.16 => 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)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_negDivAlg__minus1,axiom,
% 199.17/199.16 ! [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))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_split__eta,axiom,
% 199.17/199.16 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,T_d),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),T_d,T_c),V_f_2)),c_Product__Type_OPair(T_b,T_c))) = V_f_2 ).
% 199.17/199.16
% 199.17/199.16 fof(fact_negDivAlg_Osimps,axiom,
% 199.17/199.16 ! [V_b,V_a] :
% 199.17/199.16 ( ( ( 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)))
% 199.17/199.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 199.17/199.16 => 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)) )
% 199.17/199.16 & ( ~ ( 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)))
% 199.17/199.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 199.17/199.16 => 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))) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_negDivAlg__eqn__number__of,axiom,
% 199.17/199.16 ! [V_w,V_v] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => ( ( 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))))
% 199.17/199.16 => 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))) )
% 199.17/199.16 & ( ~ 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))))
% 199.17/199.16 => 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)))) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_negDivAlg__eqn,axiom,
% 199.17/199.16 ! [V_a,V_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 199.17/199.16 => ( ( 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)))
% 199.17/199.16 => 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)) )
% 199.17/199.16 & ( ~ 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)))
% 199.17/199.16 => 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))) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_in__rel__def,axiom,
% 199.17/199.16 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2))
% 199.17/199.16 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_R_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_div__mod__code__numeral__def,axiom,
% 199.17/199.16 ! [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)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_Nitpick_Orefl_H__def,axiom,
% 199.17/199.16 ! [V_r_2,T_b] :
% 199.17/199.16 ( c_Nitpick_Orefl_H(T_b,V_r_2)
% 199.17/199.16 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 199.17/199.16 ! [V_w] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => ( ( 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)))
% 199.17/199.16 => 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)) )
% 199.17/199.16 & ( ~ 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)))
% 199.17/199.16 => 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)))) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_posDivAlg__0,axiom,
% 199.17/199.16 ! [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)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_posDivAlg__div__mod,axiom,
% 199.17/199.16 ! [V_l,V_k] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 199.17/199.16 => 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)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_posDivAlg__eqn__number__of,axiom,
% 199.17/199.16 ! [V_w,V_v] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => ( ( 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)))
% 199.17/199.16 => 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)) )
% 199.17/199.16 & ( ~ 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)))
% 199.17/199.16 => 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)))) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_posDivAlg__eqn,axiom,
% 199.17/199.16 ! [V_a,V_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 199.17/199.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 199.17/199.16 => 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) )
% 199.17/199.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 199.17/199.16 => 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))) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_posDivAlg_Osimps,axiom,
% 199.17/199.16 ! [V_b,V_a] :
% 199.17/199.16 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 199.17/199.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 199.17/199.16 => 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) )
% 199.17/199.16 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 199.17/199.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 199.17/199.16 => 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))) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_divmod__int__def,axiom,
% 199.17/199.16 ! [V_b,V_a] :
% 199.17/199.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 199.17/199.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 199.17/199.16 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 199.17/199.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 199.17/199.16 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => 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)) )
% 199.17/199.16 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => 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))) ) ) ) ) )
% 199.17/199.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 199.17/199.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 199.17/199.16 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 199.17/199.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 199.17/199.16 => 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))) ) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_divmod__nat__step,axiom,
% 199.17/199.16 ! [V_m,V_n] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 199.17/199.16 => 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)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_divmod__int__pdivmod,axiom,
% 199.17/199.16 ! [V_l_2,V_k_2] :
% 199.17/199.16 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => 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)) )
% 199.17/199.16 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => 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) )
% 199.17/199.16 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => 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)))) ) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_divmod__int__code,axiom,
% 199.17/199.16 ! [V_l_2,V_k_2] :
% 199.17/199.16 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => 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)) )
% 199.17/199.16 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => 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) )
% 199.17/199.16 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => 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)))) ) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_negateSnd__def,axiom,
% 199.17/199.16 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_apsnd__conv,axiom,
% 199.17/199.16 ! [V_y_2,V_x_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),hAPP(V_f_2,V_y_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_divmod__nat__zero,axiom,
% 199.17/199.16 ! [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) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_divmod__nat__base,axiom,
% 199.17/199.16 ! [V_n,V_m] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 199.17/199.16 => 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) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_negateSnd__eq,axiom,
% 199.17/199.16 ! [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)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_divmod__nat__div__mod,axiom,
% 199.17/199.16 ! [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)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_divmod__nat__if,axiom,
% 199.17/199.16 ! [V_m_2,V_na_2] :
% 199.17/199.16 ( ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) )
% 199.17/199.16 => c_Divides_Odivmod__nat(V_m_2,V_na_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2) )
% 199.17/199.16 & ( ~ ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) )
% 199.17/199.16 => c_Divides_Odivmod__nat(V_m_2,V_na_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat)),c_Nat_OSuc)),c_Divides_Odivmod__nat(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_na_2),V_na_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_pdivmod__def,axiom,
% 199.17/199.16 ! [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))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_pdivmod__posDivAlg,axiom,
% 199.17/199.16 ! [V_k,V_l] :
% 199.17/199.16 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => 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)) )
% 199.17/199.16 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => 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)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 199.17/199.16 ! [V_c,V_r,V_q,V_b,V_a] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 199.17/199.16 => 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)))) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 199.17/199.16 ! [V_a,V_r,V_q,V_c,V_b] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 199.17/199.16 => 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)))) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_negDivAlg_Opsimps,axiom,
% 199.17/199.16 ! [V_b_2,V_a_2] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => ( ( ( 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)))
% 199.17/199.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 199.17/199.16 => 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)) )
% 199.17/199.16 & ( ~ ( 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)))
% 199.17/199.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 199.17/199.16 => 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))) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_zmult2__lemma,axiom,
% 199.17/199.16 ! [V_c,V_r,V_q,V_b,V_a] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 199.17/199.16 => 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)))) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_divmod__nat__rel__unique,axiom,
% 199.17/199.16 ! [V_qr_H,V_qr,V_n,V_m] :
% 199.17/199.16 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 199.17/199.16 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 199.17/199.16 => V_qr = V_qr_H ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_divmod__nat__eq,axiom,
% 199.17/199.16 ! [V_qr,V_n,V_m] :
% 199.17/199.16 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 199.17/199.16 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 199.17/199.16 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_divmod__int__rel__0,axiom,
% 199.17/199.16 ! [V_b] :
% 199.17/199.16 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => 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)))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_self__remainder,axiom,
% 199.17/199.16 ! [V_r,V_q,V_a] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_unique__quotient,axiom,
% 199.17/199.16 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => ( 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)))
% 199.17/199.16 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => V_q = V_q_H ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_unique__remainder,axiom,
% 199.17/199.16 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => ( 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)))
% 199.17/199.16 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => V_r = V_r_H ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_divmod__int__rel__neg,axiom,
% 199.17/199.16 ! [V_qr,V_b,V_a] :
% 199.17/199.16 ( 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))
% 199.17/199.16 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_divmod__int__correct,axiom,
% 199.17/199.16 ! [V_a,V_b] :
% 199.17/199.16 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_mod__eq,axiom,
% 199.17/199.16 ! [V_r,V_q,V_n,V_m] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_div__eq,axiom,
% 199.17/199.16 ! [V_r,V_q,V_n,V_m] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_self__quotient,axiom,
% 199.17/199.16 ! [V_r,V_q,V_a] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_divmod__int__rel__mod,axiom,
% 199.17/199.16 ! [V_r,V_q,V_b,V_a] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_divmod__int__rel__div,axiom,
% 199.17/199.16 ! [V_r,V_q,V_b,V_a] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_negDivAlg__correct,axiom,
% 199.17/199.16 ! [V_b,V_a] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 199.17/199.16 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_divmod__nat__rel,axiom,
% 199.17/199.16 ! [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)))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_divmod__int__rel__div__mod,axiom,
% 199.17/199.16 ! [V_a,V_b] :
% 199.17/199.16 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => 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)))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_posDivAlg__correct,axiom,
% 199.17/199.16 ! [V_b,V_a] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 199.17/199.16 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_zadd1__lemma,axiom,
% 199.17/199.16 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => ( 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)))
% 199.17/199.16 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => 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)))) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_zminus1__lemma,axiom,
% 199.17/199.16 ! [V_r_2,V_q_2,V_b_2,V_a_2] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => 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))))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_divmod__int__relI,axiom,
% 199.17/199.16 ! [V_r,V_q,V_b,V_a] :
% 199.17/199.16 ( 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)
% 199.17/199.16 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 199.17/199.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 199.17/199.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 199.17/199.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 199.17/199.16 => 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))) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_zmult1__lemma,axiom,
% 199.17/199.16 ! [V_a,V_r,V_q,V_c,V_b] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 => 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)))) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_divmod__int__rel__def,axiom,
% 199.17/199.16 ! [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))))))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 199.17/199.16 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => ( 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)))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 199.17/199.16 => 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)))) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_posDivAlg_Opsimps,axiom,
% 199.17/199.16 ! [V_b_2,V_a_2] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 199.17/199.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 199.17/199.16 => 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) )
% 199.17/199.16 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 199.17/199.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 199.17/199.16 => 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))) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_norm__frac_Opsimps,axiom,
% 199.17/199.16 ! [V_b_2,V_a_2] :
% 199.17/199.16 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_b_2)))
% 199.17/199.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 199.17/199.16 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b_2)) )
% 199.17/199.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 199.17/199.16 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 199.17/199.16 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 199.17/199.16 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 199.17/199.16 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 199.17/199.16 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Nitpick_Oint__gcd,V_a_2),V_b_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2))),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b_2))) ) ) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_negDivAlg_Opinduct,axiom,
% 199.17/199.16 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => ( ! [B_a,B_b] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => ( ( ~ ( 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)))
% 199.17/199.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 199.17/199.16 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) )
% 199.17/199.16 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 199.17/199.16 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_accp__subset,axiom,
% 199.17/199.16 ! [V_R2_2,V_R1_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),V_R1_2),V_R2_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oaccp(T_b,V_R2_2)),c_Wellfounded_Oaccp(T_b,V_R1_2))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_accp__downward,axiom,
% 199.17/199.16 ! [V_a_2,V_b_2,V_r_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 199.17/199.16 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_accp_Oequations,axiom,
% 199.17/199.16 ! [V_a_2,V_r_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 199.17/199.16 <=> ! [B_x] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 199.17/199.16 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_accp_Osimps,axiom,
% 199.17/199.16 ! [V_a_2,V_r_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 199.17/199.16 <=> ! [B_x] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 199.17/199.16 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_posDivAlg_Opinduct,axiom,
% 199.17/199.16 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => ( ! [B_a,B_b] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 199.17/199.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 199.17/199.16 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) )
% 199.17/199.16 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 199.17/199.16 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_nat__gcd_Opsimps,axiom,
% 199.17/199.16 ! [V_y_2,V_x_2] :
% 199.17/199.16 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)))
% 199.17/199.16 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.16 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 199.17/199.16 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.16 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = c_Nitpick_Onat__gcd(V_y_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x_2,V_y_2)) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_nat_Osize_I2_J,axiom,
% 199.17/199.16 ! [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))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_mod__pos__neg__1__number__of,axiom,
% 199.17/199.16 ! [V_w] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => 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))))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_snd__conv,axiom,
% 199.17/199.16 ! [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 ).
% 199.17/199.16
% 199.17/199.16 fof(fact_snd__eqD,axiom,
% 199.17/199.16 ! [V_a,V_y,V_x,T_a,T_b] :
% 199.17/199.16 ( 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
% 199.17/199.16 => V_y = V_a ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_apsnd__eq__conv,axiom,
% 199.17/199.16 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] :
% 199.17/199.16 ( hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_g_2),V_x_2)
% 199.17/199.16 <=> hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_snd__apsnd,axiom,
% 199.17/199.16 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapsnd(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_snd__def,axiom,
% 199.17/199.16 ! [V_p_2,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_b),hAPP(c_COMBK(tc_fun(T_b,T_b),T_c),c_COMBI(T_b))),V_p_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_mod__int__def,axiom,
% 199.17/199.16 ! [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)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_nat_Osize_I1_J,axiom,
% 199.17/199.16 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_mod__neg__pos,axiom,
% 199.17/199.16 ! [V_b,V_a] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 199.17/199.16 => 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)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_mod__pos__pos,axiom,
% 199.17/199.16 ! [V_b,V_a] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 199.17/199.16 => 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)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_mod__pos__pos__1__number__of,axiom,
% 199.17/199.16 ! [V_w] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => 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))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_mod__pos__neg,axiom,
% 199.17/199.16 ! [V_b,V_a] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 199.17/199.16 => 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)))) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_mod__neg__neg,axiom,
% 199.17/199.16 ! [V_b,V_a] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 199.17/199.16 => 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)))) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_in__measure,axiom,
% 199.17/199.16 ! [V_f_2,V_y_2,V_x_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)))
% 199.17/199.16 <=> 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))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_norm__frac_Opinduct,axiom,
% 199.17/199.16 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 199.17/199.16 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 199.17/199.16 => ( ! [B_a,B_b] :
% 199.17/199.16 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b)))
% 199.17/199.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 199.17/199.16 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_b))) )
% 199.17/199.16 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 199.17/199.16 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_div__pos__neg__1__number__of,axiom,
% 199.17/199.16 ! [V_w] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => 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))))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_nat__gcd_Opinduct,axiom,
% 199.17/199.16 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 199.17/199.16 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a0_2),V_a1_2)))
% 199.17/199.16 => ( ! [B_x,B_y] :
% 199.17/199.16 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),B_x),B_y)))
% 199.17/199.16 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.16 => hBOOL(hAPP(hAPP(V_Pa_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 199.17/199.16 => hBOOL(hAPP(hAPP(V_Pa_2,B_x),B_y)) ) )
% 199.17/199.16 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_prod__eqI,axiom,
% 199.17/199.16 ! [V_q,V_p,T_b,T_a] :
% 199.17/199.16 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 199.17/199.16 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 199.17/199.16 => V_p = V_q ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_Pair__fst__snd__eq,axiom,
% 199.17/199.16 ! [T_c,T_b,V_t_2,V_s_2] :
% 199.17/199.16 ( V_s_2 = V_t_2
% 199.17/199.16 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2)
% 199.17/199.16 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_fst__apsnd,axiom,
% 199.17/199.16 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Ofst(T_b,T_d),V_x_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_fst__eqD,axiom,
% 199.17/199.16 ! [V_a,V_y,V_x,T_b,T_a] :
% 199.17/199.16 ( 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
% 199.17/199.16 => V_x = V_a ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_fst__conv,axiom,
% 199.17/199.16 ! [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 ).
% 199.17/199.16
% 199.17/199.16 fof(fact_fst__def,axiom,
% 199.17/199.16 ! [V_p_2,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_b),c_COMBK(T_b,T_c)),V_p_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_pair__collapse,axiom,
% 199.17/199.16 ! [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 ).
% 199.17/199.16
% 199.17/199.16 fof(fact_surjective__pairing,axiom,
% 199.17/199.16 ! [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)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_prod__case__beta,axiom,
% 199.17/199.16 ! [V_p_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),V_p_2) = hAPP(hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_div__int__def,axiom,
% 199.17/199.16 ! [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)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_mod__nat__def,axiom,
% 199.17/199.16 ! [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)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_split__comp__eq,axiom,
% 199.17/199.16 ! [V_g_2,V_f_2,T_e,T_d,T_c,T_b] : hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),tc_prod(T_b,T_c)),V_f_2),hAPP(hAPP(c_COMBB(T_b,T_e,tc_prod(T_b,T_c)),V_g_2),c_Product__Type_Ofst(T_b,T_c)))),c_Product__Type_Osnd(T_b,T_c)) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),T_b),V_f_2),V_g_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_split__beta,axiom,
% 199.17/199.16 ! [V_z_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_Pa_2),V_z_2) = hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_z_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_z_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_split__def,axiom,
% 199.17/199.16 ! [V_p_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_c_2),V_p_2) = hAPP(hAPP(V_c_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_div__neg__pos,axiom,
% 199.17/199.16 ! [V_b,V_a] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 199.17/199.16 => 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)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_div__pos__pos,axiom,
% 199.17/199.16 ! [V_b,V_a] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 199.17/199.16 => 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)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_div__pos__pos__1__number__of,axiom,
% 199.17/199.16 ! [V_w] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => 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))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_div__pos__neg,axiom,
% 199.17/199.16 ! [V_b,V_a] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 199.17/199.16 => 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)))) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_div__neg__neg,axiom,
% 199.17/199.16 ! [V_b,V_a] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 199.17/199.16 => 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)))) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_prod__size__simp,axiom,
% 199.17/199.16 ! [V_p_2,V_g_2,V_f_2,T_c,T_b] : c_Product__Type_Oprod_Oprod__size(T_b,T_c,V_f_2,V_g_2,V_p_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_conjI__realizer,axiom,
% 199.17/199.16 ! [T_c,T_b,V_q_2,V_Q_2,V_p_2,V_Pa_2] :
% 199.17/199.16 ( hBOOL(hAPP(V_Pa_2,V_p_2))
% 199.17/199.16 => ( hBOOL(hAPP(V_Q_2,V_q_2))
% 199.17/199.16 => ( hBOOL(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2))))
% 199.17/199.16 & hBOOL(hAPP(V_Q_2,hAPP(c_Product__Type_Osnd(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2)))) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_exI__realizer,axiom,
% 199.17/199.16 ! [T_b,T_c,V_x_2,V_y_2,V_Pa_2] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(V_Pa_2,V_y_2),V_x_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_div__nat__def,axiom,
% 199.17/199.16 ! [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)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_divmod__nat__rel__def,axiom,
% 199.17/199.16 ! [V_qr_2,V_na_2,V_m_2] :
% 199.17/199.16 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_na_2),V_qr_2))
% 199.17/199.16 <=> ( V_m_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),V_na_2)),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2))
% 199.17/199.16 & ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.16 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 199.17/199.16 & ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 199.17/199.16 => ( 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)))
% 199.17/199.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),V_na_2)) ) )
% 199.17/199.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)))
% 199.17/199.16 & 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))) ) ) ) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_range,axiom,
% 199.17/199.16 ! [V_s,V_k] :
% 199.17/199.16 ( 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))
% 199.17/199.16 => 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)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_mlex__leq,axiom,
% 199.17/199.16 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_mlex__less,axiom,
% 199.17/199.16 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 199.17/199.16 ( 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)))
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_nat_Osize_I4_J,axiom,
% 199.17/199.16 ! [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))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_prod_Orecs,axiom,
% 199.17/199.16 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Product__Type_Oprod_Oprod__rec(T_c,T_d,T_b,V_f1_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_in__lex__prod,axiom,
% 199.17/199.16 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2))),c_Wellfounded_Olex__prod(T_b,T_c,V_r_2,V_s_2)))
% 199.17/199.16 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_H_2)),V_r_2))
% 199.17/199.16 | ( V_a_2 = V_a_H_2
% 199.17/199.16 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_b_2),V_b_H_2)),V_s_2)) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_nat__size,axiom,
% 199.17/199.16 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 199.17/199.16
% 199.17/199.16 fof(fact_nat_Osize_I3_J,axiom,
% 199.17/199.16 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) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_same__fstI,axiom,
% 199.17/199.16 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_Pa_2] :
% 199.17/199.16 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y_H_2),V_y_2)),hAPP(V_R_2,V_x_2)))
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2))) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_in__finite__psubset,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Ofinite__psubset(T_b)))
% 199.17/199.16 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 199.17/199.16 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__nonneg__leq__bound,axiom,
% 199.17/199.16 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] :
% 199.17/199.16 ( class_Groups_Oordered__ab__group__add(T_c)
% 199.17/199.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 199.17/199.16 => ( ! [B_i] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 199.17/199.16 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_setsum__nonneg__0,axiom,
% 199.17/199.16 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] :
% 199.17/199.16 ( class_Groups_Oordered__ab__group__add(T_c)
% 199.17/199.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 199.17/199.16 => ( ! [B_i] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 199.17/199.16 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = c_Groups_Ozero__class_Ozero(T_c)
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 199.17/199.16 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_sum__diff__distrib,axiom,
% 199.17/199.16 ! [V_na_2,V_Pa_2,V_Q_2] :
% 199.17/199.16 ( ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_Q_2,B_x)),hAPP(V_Pa_2,B_x)))
% 199.17/199.16 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Pa_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Q_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_Pa_2)),V_Q_2)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_apfst__apsnd,axiom,
% 199.17/199.16 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_apfst__conv,axiom,
% 199.17/199.16 ! [V_y_2,V_x_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_x_2)),V_y_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_apfst__eq__conv,axiom,
% 199.17/199.16 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] :
% 199.17/199.16 ( hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_g_2),V_x_2)
% 199.17/199.16 <=> hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_fst__apfst,axiom,
% 199.17/199.16 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_snd__apfst,axiom,
% 199.17/199.16 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapfst(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Osnd(T_d,T_b),V_x_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_apsnd__apfst__commute,axiom,
% 199.17/199.16 ! [V_p_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_p_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,V_g_2),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_e,V_f_2),V_p_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_apsnd__apfst,axiom,
% 199.17/199.16 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_e,T_d),V_x_2))),hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_e,T_d),V_x_2))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_pair__lessI2,axiom,
% 199.17/199.16 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2))
% 199.17/199.16 => 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)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INFI__fold__inf,axiom,
% 199.17/199.16 ! [V_f_2,V_A_2,T_b,T_c] :
% 199.17/199.16 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 199.17/199.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.16 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),c_Orderings_Otop__class_Otop(T_c)),V_A_2) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_SUPR__fold__sup,axiom,
% 199.17/199.16 ! [V_f_2,V_A_2,T_b,T_c] :
% 199.17/199.16 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 199.17/199.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.16 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(T_c)),V_A_2) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__I,axiom,
% 199.17/199.16 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_SUP1__I,axiom,
% 199.17/199.16 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__D,axiom,
% 199.17/199.16 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__E,axiom,
% 199.17/199.16 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 199.17/199.16 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 199.17/199.16 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INF1__D,axiom,
% 199.17/199.16 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INF1__E,axiom,
% 199.17/199.16 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 199.17/199.16 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 199.17/199.16 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INF2__E,axiom,
% 199.17/199.16 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 199.17/199.16 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 199.17/199.16 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INF2__D,axiom,
% 199.17/199.16 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_SUP2__I,axiom,
% 199.17/199.16 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_finite__INT,axiom,
% 199.17/199.16 ! [V_A_2,T_c,V_I_2,T_b] :
% 199.17/199.16 ( ? [B_x] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 199.17/199.16 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 199.17/199.16 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__subset__iff,axiom,
% 199.17/199.16 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)))
% 199.17/199.16 <=> ! [B_x] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(V_A_2,B_x))) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__subset__iff,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),V_B_2))
% 199.17/199.16 <=> ! [B_x] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,B_x)),V_B_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__Pow__subset,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_c),c_Set_OPow(T_b)),V_B_2))),hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__extend__simps_I4_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 199.17/199.16 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 199.17/199.16 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__simps_I4_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 199.17/199.16 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 199.17/199.16 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UNION__empty__conv_I1_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_c,T_b] :
% 199.17/199.16 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)
% 199.17/199.16 <=> ! [B_x] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 199.17/199.16 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__empty2,axiom,
% 199.17/199.16 ! [V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__constant,axiom,
% 199.17/199.16 ! [V_c_2,T_c,T_b,V_A_2] :
% 199.17/199.16 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 199.17/199.16 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = V_c_2 ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UNION__empty__conv_I2_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_b,T_c] :
% 199.17/199.16 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 <=> ! [B_x] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 199.17/199.16 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_Int__UN__distrib2,axiom,
% 199.17/199.16 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__extend__simps_I4_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_Int__UN__distrib,axiom,
% 199.17/199.16 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__extend__simps_I5_J,axiom,
% 199.17/199.16 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__Int__distrib,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,V_I_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__simps_I4_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__simps_I5_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__simps_I7_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__simps_I6_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__Un__distrib,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,V_I_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__extend__simps_I7_J,axiom,
% 199.17/199.16 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_Un__INT__distrib,axiom,
% 199.17/199.16 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__Un,axiom,
% 199.17/199.16 ! [V_M_2,V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__extend__simps_I6_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_Un__INT__distrib2,axiom,
% 199.17/199.16 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__extend__simps_I10_J,axiom,
% 199.17/199.16 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__extend__simps_I10_J,axiom,
% 199.17/199.16 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_image__UN,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Oimage(T_c,T_b,V_f_2)),V_B_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__simps_I10_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__simps_I10_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_Inter__def,axiom,
% 199.17/199.16 ! [V_S_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_b,tc_HOL_Obool))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_c,T_b] :
% 199.17/199.16 ( c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)
% 199.17/199.16 <=> ! [B_x] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 199.17/199.16 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_b,T_c] :
% 199.17/199.16 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 <=> ! [B_x] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 199.17/199.16 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_Compl__UN,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_Compl__INT,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INF__commute,axiom,
% 199.17/199.16 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 199.17/199.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),T_b,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_b),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_b),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),T_b,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_SUP__commute,axiom,
% 199.17/199.16 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 199.17/199.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 199.17/199.16 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),T_b,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),T_b,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INFI__apply,axiom,
% 199.17/199.16 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 199.17/199.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 199.17/199.16 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,T_b)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_f_2),V_x_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_SUPR__apply,axiom,
% 199.17/199.16 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 199.17/199.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 199.17/199.16 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,T_b)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_f_2),V_x_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__simps_I8_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__simps_I8_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__extend__simps_I8_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__extend__simps_I8_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_Union__def,axiom,
% 199.17/199.16 ! [V_S_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_b,tc_HOL_Obool))) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_Pow__INT__eq,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_c),c_Set_OPow(T_b)),V_B_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__extend__simps_I5_J,axiom,
% 199.17/199.16 ! [V_B_2,V_C_2,T_c,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__simps_I5_J,axiom,
% 199.17/199.16 ! [V_B_2,V_a_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__extend__simps_I6_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__extend__simps_I7_J,axiom,
% 199.17/199.16 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__simps_I6_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__simps_I7_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_finite__UN,axiom,
% 199.17/199.16 ! [V_B_2,T_c,V_A_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 199.17/199.16 <=> ! [B_x] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.16 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__iff,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 199.17/199.16 <=> ! [B_x] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__iff,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 199.17/199.16 <=> ? [B_x] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 199.17/199.16 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INF__INT__eq2,axiom,
% 199.17/199.16 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_b),hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d))))),V_r_2)),V_x_2),V_y_2))
% 199.17/199.16 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_SUP__UN__eq2,axiom,
% 199.17/199.16 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_b),hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d))))),V_r_2)),V_x_2),V_y_2))
% 199.17/199.16 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_SUP__le__iff,axiom,
% 199.17/199.16 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] :
% 199.17/199.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_M_2)),V_u_2))
% 199.17/199.16 <=> ! [B_x] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_le__INF__iff,axiom,
% 199.17/199.16 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] :
% 199.17/199.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),V_M_2)))
% 199.17/199.16 <=> ! [B_x] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INF__less__iff,axiom,
% 199.17/199.16 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] :
% 199.17/199.16 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 199.17/199.16 & class_Orderings_Olinorder(T_b) )
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),V_f_2)),V_a_2))
% 199.17/199.16 <=> ? [B_x] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 199.17/199.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_less__SUP__iff,axiom,
% 199.17/199.16 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] :
% 199.17/199.16 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 199.17/199.16 & class_Orderings_Olinorder(T_b) )
% 199.17/199.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_f_2)))
% 199.17/199.16 <=> ? [B_x] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 199.17/199.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__insert__distrib,axiom,
% 199.17/199.16 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 199.17/199.16 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__lower,axiom,
% 199.17/199.16 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(V_B_2,V_a_2))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INF__INT__eq,axiom,
% 199.17/199.16 ! [V_x_2,V_r_2,T_c,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c))),V_r_2)),V_x_2))
% 199.17/199.16 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__absorb,axiom,
% 199.17/199.16 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 199.17/199.16 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_SUP__const,axiom,
% 199.17/199.16 ! [V_M_2,T_b,V_A_2,T_c] :
% 199.17/199.16 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 199.17/199.16 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INF__const,axiom,
% 199.17/199.16 ! [V_M_2,T_b,V_A_2,T_c] :
% 199.17/199.16 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 199.17/199.16 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__insert__distrib,axiom,
% 199.17/199.16 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 199.17/199.16 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__constant,axiom,
% 199.17/199.16 ! [V_c_2,T_c,T_b,V_A_2] :
% 199.17/199.16 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 199.17/199.16 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = V_c_2 ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__empty,axiom,
% 199.17/199.16 ! [V_B_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__extend__simps_I1_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 199.17/199.16 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 199.17/199.16 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__extend__simps_I2_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 199.17/199.16 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 199.17/199.16 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__upper,axiom,
% 199.17/199.16 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 199.17/199.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_SUP__UN__eq,axiom,
% 199.17/199.16 ! [V_x_2,V_r_2,T_c,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c))),V_r_2)),V_x_2))
% 199.17/199.16 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__absorb,axiom,
% 199.17/199.16 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 199.17/199.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 199.17/199.16 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__insert,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__extend__simps_I1_J,axiom,
% 199.17/199.16 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 199.17/199.16 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) )
% 199.17/199.16 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__singleton,axiom,
% 199.17/199.16 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__simps_I1_J,axiom,
% 199.17/199.16 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 199.17/199.16 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 199.17/199.16 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_INT__Un,axiom,
% 199.17/199.16 ! [V_M_2,V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__simps_I3_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 199.17/199.16 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 199.17/199.16 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__simps_I2_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 199.17/199.16 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 199.17/199.16 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__extend__simps_I3_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 199.17/199.16 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 199.17/199.16 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__extend__simps_I2_J,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 199.17/199.16 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 199.17/199.16 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.16 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UN__insert,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_image__Union,axiom,
% 199.17/199.16 ! [V_S_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Set_Oimage(T_c,T_b,V_f_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_Int__Union,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_Int__Union2,axiom,
% 199.17/199.16 ! [V_A_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_Un__Inter,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_UNION__eq__Union__image,axiom,
% 199.17/199.16 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_Union__image__eq,axiom,
% 199.17/199.16 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 199.17/199.16
% 199.17/199.16 fof(fact_Inter__image__eq,axiom,
% 199.17/199.17 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_INTER__eq__Inter__image,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_UN__lessThan__UNIV,axiom,
% 199.17/199.17 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)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_UN__atMost__UNIV,axiom,
% 199.17/199.17 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)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_UN__atLeast__UNIV,axiom,
% 199.17/199.17 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)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_SUP__subset,axiom,
% 199.17/199.17 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 199.17/199.17 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_B_2),V_f_2))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_INF__subset,axiom,
% 199.17/199.17 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 199.17/199.17 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_B_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_INT__simps_I2_J,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 199.17/199.17 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 199.17/199.17 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_INT__simps_I1_J,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 199.17/199.17 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 199.17/199.17 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_INT__extend__simps_I3_J,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 199.17/199.17 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),V_B_2) )
% 199.17/199.17 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_INT__simps_I3_J,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 199.17/199.17 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 199.17/199.17 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_image__eq__UN,axiom,
% 199.17/199.17 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Set_Oinsert(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_UN__UN__finite__eq,axiom,
% 199.17/199.17 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_Nat_Onat),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_le__SUPI,axiom,
% 199.17/199.17 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 199.17/199.17 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_M_2,V_i_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_M_2))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_INF__leI,axiom,
% 199.17/199.17 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 199.17/199.17 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_M_2)),hAPP(V_M_2,V_i_2))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Un__Union__image,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Int__Inter__image,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_UN__le__add__shift,axiom,
% 199.17/199.17 ! [V_k_2,V_M_2,V_na_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat),V_M_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_k_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_k_2))),V_M_2) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_INT__greaterThan__UNIV,axiom,
% 199.17/199.17 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)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_pair__lessI1,axiom,
% 199.17/199.17 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 199.17/199.17 => 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)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_sup__SUPR__fold__sup,axiom,
% 199.17/199.17 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 199.17/199.17 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inf__INFI__fold__inf,axiom,
% 199.17/199.17 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 199.17/199.17 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_UN__le__eq__Un0,axiom,
% 199.17/199.17 ! [V_M_2,V_na_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_na_2)),V_M_2)),hAPP(V_M_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_pair__leqI2,axiom,
% 199.17/199.17 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2))
% 199.17/199.17 => 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)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_smax__insertI,axiom,
% 199.17/199.17 ! [V_X_2,V_x_2,V_Y_2,V_y_2] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2))
% 199.17/199.17 => ( 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))
% 199.17/199.17 => ( 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))
% 199.17/199.17 => 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)) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_smin__insertI,axiom,
% 199.17/199.17 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 199.17/199.17 => ( 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))
% 199.17/199.17 => ( 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))
% 199.17/199.17 => 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)) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_INF1__iff,axiom,
% 199.17/199.17 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 199.17/199.17 <=> ! [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_SUP1__iff,axiom,
% 199.17/199.17 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 199.17/199.17 <=> ? [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.17 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_INF2__iff,axiom,
% 199.17/199.17 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 199.17/199.17 <=> ! [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_SUP2__iff,axiom,
% 199.17/199.17 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 199.17/199.17 <=> ? [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.17 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_INT__extend__simps_I9_J,axiom,
% 199.17/199.17 ! [V_C_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_UN__extend__simps_I9_J,axiom,
% 199.17/199.17 ! [V_C_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_INT__simps_I9_J,axiom,
% 199.17/199.17 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_UN__simps_I9_J,axiom,
% 199.17/199.17 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_UN__UN__flatten,axiom,
% 199.17/199.17 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_ball__UN,axiom,
% 199.17/199.17 ! [V_Pa_2,V_B_2,V_A_2,T_c,T_b] :
% 199.17/199.17 ( ! [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 199.17/199.17 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 199.17/199.17 <=> ! [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 199.17/199.17 => ! [B_xa] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x)))
% 199.17/199.17 => hBOOL(hAPP(V_Pa_2,B_xa)) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_smax__emptyI,axiom,
% 199.17/199.17 ! [V_Y_2] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2))
% 199.17/199.17 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 199.17/199.17 => 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)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_smin__emptyI,axiom,
% 199.17/199.17 ! [V_X_2] :
% 199.17/199.17 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 199.17/199.17 => 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)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_pair__leqI1,axiom,
% 199.17/199.17 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 199.17/199.17 => 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)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wmin__insertI,axiom,
% 199.17/199.17 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 199.17/199.17 => ( 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))
% 199.17/199.17 => ( 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))
% 199.17/199.17 => 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)) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wmax__insertI,axiom,
% 199.17/199.17 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 199.17/199.17 => ( 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))
% 199.17/199.17 => ( 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))
% 199.17/199.17 => 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)) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_nat__def,axiom,
% 199.17/199.17 ! [V_z_2] : hAPP(c_Int_Onat,V_z_2) = c_Set_Othe__elem(tc_Nat_Onat,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,V_z_2)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_Nat_Onat),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_Nat_Onat),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_Set_Oinsert(tc_Nat_Onat))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Rep__Integ__inject,axiom,
% 199.17/199.17 ! [V_y_2,V_x_2] :
% 199.17/199.17 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 199.17/199.17 <=> V_x_2 = V_y_2 ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wmin__emptyI,axiom,
% 199.17/199.17 ! [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)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wmax__emptyI,axiom,
% 199.17/199.17 ! [V_X_2] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 199.17/199.17 => 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)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_min__weak__def,axiom,
% 199.17/199.17 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)))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_max__weak__def,axiom,
% 199.17/199.17 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)))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_UN__finite2__subset,axiom,
% 199.17/199.17 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 199.17/199.17 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2)))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_max__strict__def,axiom,
% 199.17/199.17 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_max__ext__additive,axiom,
% 199.17/199.17 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_min__strict__def,axiom,
% 199.17/199.17 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_max__extp__max__ext__eq,axiom,
% 199.17/199.17 ! [V_xa_2,V_x_2,V_R_2,T_b] :
% 199.17/199.17 ( c_Wellfounded_Omax__extp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_R_2),V_x_2,V_xa_2)
% 199.17/199.17 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_xa_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_UN__finite2__eq,axiom,
% 199.17/199.17 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 199.17/199.17 ( ! [B_n] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2)
% 199.17/199.17 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_UN__finite__subset,axiom,
% 199.17/199.17 ! [V_C_2,V_A_2,T_b] :
% 199.17/199.17 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),V_C_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),V_C_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_min__rpair__set,axiom,
% 199.17/199.17 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)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_max__rpair__set,axiom,
% 199.17/199.17 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)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_less__than__iff,axiom,
% 199.17/199.17 ! [V_y_2,V_x_2] :
% 199.17/199.17 ( 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))
% 199.17/199.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_pair__less__def,axiom,
% 199.17/199.17 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_mlex__prod__def,axiom,
% 199.17/199.17 ! [V_R_2,V_f_2,T_b] : c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,T_b),T_b),c_Wellfounded_Olex__prod(tc_Nat_Onat,T_b,c_Wellfounded_Oless__than,V_R_2)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(tc_Nat_Onat,T_b)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_prod(tc_Nat_Onat,T_b)),T_b),c_Product__Type_OPair(tc_Nat_Onat,T_b)),V_f_2)),c_COMBI(T_b))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_intrel__iff,axiom,
% 199.17/199.17 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 199.17/199.17 ( 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))
% 199.17/199.17 <=> 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) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_rp__inv__image__rp,axiom,
% 199.17/199.17 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 199.17/199.17 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 199.17/199.17 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_Pa_2),V_f_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_rp__inv__image__def,axiom,
% 199.17/199.17 ! [T_c,T_b] : c_FunDef_Orp__inv__image(T_b,T_c) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBS(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(T_c,T_b)),c_Product__Type_OPair(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),c_Relation_Oinv__image(T_b,T_c))))),c_Relation_Oinv__image(T_b,T_c))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_in__inv__image,axiom,
% 199.17/199.17 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2)))
% 199.17/199.17 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))),V_r_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_equiv__intrel__iff,axiom,
% 199.17/199.17 ! [V_y_2,V_x_2] :
% 199.17/199.17 ( 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))))
% 199.17/199.17 <=> 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)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 199.17/199.17 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 199.17/199.17 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 199.17/199.17 & class_Groups_Ocomm__monoid__mult(T_b) )
% 199.17/199.17 => ( V_A_2 = V_B_2
% 199.17/199.17 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 199.17/199.17 => ( ! [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 199.17/199.17 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 199.17/199.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Image__UN,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_d,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Image__Int__subset,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Image__mono,axiom,
% 199.17/199.17 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,V_r_H_2),V_A_H_2)),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Image__INT__subset,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_d,V_r_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Image__Un,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Un__Image,axiom,
% 199.17/199.17 ! [V_A_2,V_S_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_R_2),V_S_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_S_2),V_A_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Image__empty,axiom,
% 199.17/199.17 ! [V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_rev__ImageI,axiom,
% 199.17/199.17 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Image__iff,axiom,
% 199.17/199.17 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 199.17/199.17 <=> ? [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 199.17/199.17 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Image__eq__UN,axiom,
% 199.17/199.17 ! [V_B_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Relation_OImage(T_c,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Set_Oinsert(T_c)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Image__singleton__iff,axiom,
% 199.17/199.17 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 199.17/199.17 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2),V_b_2)),V_r_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_measure__def,axiom,
% 199.17/199.17 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_of__int,axiom,
% 199.17/199.17 ! [V_j_2,V_i_2,T_b] :
% 199.17/199.17 ( class_Rings_Oring__1(T_b)
% 199.17/199.17 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_i_2),V_j_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_i_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_j_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_One__int__def,axiom,
% 199.17/199.17 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))))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_mult,axiom,
% 199.17/199.17 ! [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))))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Rep__Integ__inverse,axiom,
% 199.17/199.17 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 199.17/199.17
% 199.17/199.17 fof(fact_minus,axiom,
% 199.17/199.17 ! [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))))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Zero__int__def,axiom,
% 199.17/199.17 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))))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_int__def,axiom,
% 199.17/199.17 ! [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))))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_add,axiom,
% 199.17/199.17 ! [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))))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_nat,axiom,
% 199.17/199.17 ! [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) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_minus__int__def,axiom,
% 199.17/199.17 ! [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))))))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_less,axiom,
% 199.17/199.17 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 199.17/199.17 ( 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)))))))
% 199.17/199.17 <=> 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))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_le,axiom,
% 199.17/199.17 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 199.17/199.17 ( 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)))))))
% 199.17/199.17 <=> 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))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_irrefl__def,axiom,
% 199.17/199.17 ! [V_r_2,T_b] :
% 199.17/199.17 ( c_Relation_Oirrefl(T_b,V_r_2)
% 199.17/199.17 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_eq__Abs__Integ,axiom,
% 199.17/199.17 ! [V_z_2] :
% 199.17/199.17 ~ ! [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))))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Field__insert,axiom,
% 199.17/199.17 ! [V_r_2,V_b_2,V_a_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OField(T_b),V_r_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Field__Union,axiom,
% 199.17/199.17 ! [V_R_2,T_b] : hAPP(c_Relation_OField(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),V_R_2)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Relation_OField(T_b)),V_R_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Field__empty,axiom,
% 199.17/199.17 ! [T_b] : hAPP(c_Relation_OField(T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_mono__Field,axiom,
% 199.17/199.17 ! [V_s_2,V_r_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Field__Un,axiom,
% 199.17/199.17 ! [V_s_2,V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__Field,axiom,
% 199.17/199.17 ! [V_r_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 199.17/199.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Id__on__def,axiom,
% 199.17/199.17 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_quotient__def,axiom,
% 199.17/199.17 ! [V_r_2,V_A_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),c_Relation_OImage(T_b,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_ImageE,axiom,
% 199.17/199.17 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 199.17/199.17 => ~ ! [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2))
% 199.17/199.17 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_quotient__empty,axiom,
% 199.17/199.17 ! [V_r_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_quotient__is__empty2,axiom,
% 199.17/199.17 ! [V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)
% 199.17/199.17 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_quotient__is__empty,axiom,
% 199.17/199.17 ! [V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 199.17/199.17 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Id__on__def_H,axiom,
% 199.17/199.17 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),c_fequal))),V_A_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Id__on__empty,axiom,
% 199.17/199.17 ! [T_b] : c_Relation_OId__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Image__Id__on,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_quotientI,axiom,
% 199.17/199.17 ! [V_r_2,V_A_2,V_x_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Id__on__eqI,axiom,
% 199.17/199.17 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 199.17/199.17 ( V_a_2 = V_b_2
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Relation_OId__on(T_b,V_A_2))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Id__on__iff,axiom,
% 199.17/199.17 ! [V_A_2,V_y_2,V_x_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Relation_OId__on(T_b,V_A_2)))
% 199.17/199.17 <=> ( V_x_2 = V_y_2
% 199.17/199.17 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_singleton__quotient,axiom,
% 199.17/199.17 ! [V_r_2,V_x_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_equiv__class__nondisjoint,axiom,
% 199.17/199.17 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_subset__equiv__class,axiom,
% 199.17/199.17 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_quotientE,axiom,
% 199.17/199.17 ! [V_r_2,V_A_2,V_X_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 199.17/199.17 => ~ ! [B_x] :
% 199.17/199.17 ( V_X_2 = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 199.17/199.17 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_equiv__intrel,axiom,
% 199.17/199.17 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) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Union__quotient,axiom,
% 199.17/199.17 ! [V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 199.17/199.17 => c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = V_A_2 ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_equiv__class__self,axiom,
% 199.17/199.17 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_quotient__disj,axiom,
% 199.17/199.17 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 199.17/199.17 => ( V_X_2 = V_Y_2
% 199.17/199.17 | hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_equiv__class__eq,axiom,
% 199.17/199.17 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 199.17/199.17 => hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_quotient__eq__iff,axiom,
% 199.17/199.17 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 199.17/199.17 => ( V_X_2 = V_Y_2
% 199.17/199.17 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_quotient__eqI,axiom,
% 199.17/199.17 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 199.17/199.17 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_eq__equiv__class__iff,axiom,
% 199.17/199.17 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 199.17/199.17 => ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 199.17/199.17 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_eq__equiv__class,axiom,
% 199.17/199.17 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] :
% 199.17/199.17 ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 199.17/199.17 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_equiv__class__eq__iff,axiom,
% 199.17/199.17 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 199.17/199.17 <=> ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 199.17/199.17 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 199.17/199.17 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_equiv__class__subset,axiom,
% 199.17/199.17 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_eq__equiv__class__iff2,axiom,
% 199.17/199.17 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 199.17/199.17 => ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2)
% 199.17/199.17 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_UN__equiv__class,axiom,
% 199.17/199.17 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 199.17/199.17 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 199.17/199.17 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_f_2) = hAPP(V_f_2,V_a_2) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_UN__equiv__class2,axiom,
% 199.17/199.17 ! [V_a2_2,V_a1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 199.17/199.17 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 199.17/199.17 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2))
% 199.17/199.17 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r1_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a2_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) = hAPP(hAPP(V_f_2,V_a1_2),V_a2_2) ) ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_equivp__equiv,axiom,
% 199.17/199.17 ! [V_A_2,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 199.17/199.17 <=> c_Equiv__Relations_Oequivp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_A_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_identity__equivp,axiom,
% 199.17/199.17 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_equivp__def,axiom,
% 199.17/199.17 ! [V_R_2,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 199.17/199.17 <=> ! [B_x,B_y] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 199.17/199.17 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_equivp__reflp,axiom,
% 199.17/199.17 ! [V_x_2,V_R_2,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 199.17/199.17 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_equivp__symp,axiom,
% 199.17/199.17 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_equivp__transp,axiom,
% 199.17/199.17 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_congruent2__implies__congruent,axiom,
% 199.17/199.17 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2)
% 199.17/199.17 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 199.17/199.17 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_congruent2D,axiom,
% 199.17/199.17 ! [V_z2_2,V_y2_2,V_z1_2,V_y1_2,V_f_2,V_r2_2,V_r1_2,T_d,T_c,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y1_2),V_z1_2)),V_r1_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y2_2),V_z2_2)),V_r2_2))
% 199.17/199.17 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_congruentD,axiom,
% 199.17/199.17 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_r_2))
% 199.17/199.17 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_congruent2__implies__congruent__UN,axiom,
% 199.17/199.17 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 199.17/199.17 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 199.17/199.17 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2))
% 199.17/199.17 => c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_d,tc_HOL_Obool),V_r1_2,hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_UN__equiv__class__inject,axiom,
% 199.17/199.17 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 199.17/199.17 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 199.17/199.17 => ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_Y_2),V_f_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 199.17/199.17 => ( ! [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.17 => ! [B_y] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 199.17/199.17 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) ) ) )
% 199.17/199.17 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_UN__equiv__class__type2,axiom,
% 199.17/199.17 ! [V_B_2,V_X2_2,V_X1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 199.17/199.17 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 199.17/199.17 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A1_2),V_r1_2)))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_X2_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A2_2),V_r2_2)))
% 199.17/199.17 => ( ! [B_x1] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2))
% 199.17/199.17 => ! [B_x2] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_X2_2)),V_f_2))),V_B_2)) ) ) ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_UN__equiv__class__type,axiom,
% 199.17/199.17 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 199.17/199.17 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 199.17/199.17 => ( ! [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2)),V_B_2)) ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Integ__def,axiom,
% 199.17/199.17 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) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Id__onE,axiom,
% 199.17/199.17 ! [V_A_2,V_c_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2)))
% 199.17/199.17 => ~ ! [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.17 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_card__quotient__disjoint,axiom,
% 199.17/199.17 ! [V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2)
% 199.17/199.17 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__on__empty,axiom,
% 199.17/199.17 ! [V_f_2,T_c,T_b] : c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__uminus,axiom,
% 199.17/199.17 ! [V_A_2,T_b] :
% 199.17/199.17 ( class_Groups_Oordered__ab__group__add(T_b)
% 199.17/199.17 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__onD,axiom,
% 199.17/199.17 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.17 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 199.17/199.17 => V_x_2 = V_y_2 ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__on__iff,axiom,
% 199.17/199.17 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 199.17/199.17 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 199.17/199.17 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__on__contraD,axiom,
% 199.17/199.17 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.17 => ( V_x_2 != V_y_2
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 199.17/199.17 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__on__id2,axiom,
% 199.17/199.17 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__on__def,axiom,
% 199.17/199.17 ! [V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.17 <=> ! [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.17 => ! [B_xa] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 199.17/199.17 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 199.17/199.17 => B_x = B_xa ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__on__diff,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.17 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_subset__inj__on,axiom,
% 199.17/199.17 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 199.17/199.17 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__on__Int,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.17 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 199.17/199.17 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__eq,axiom,
% 199.17/199.17 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.17 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 199.17/199.17 <=> V_x_2 = V_y_2 ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_injD,axiom,
% 199.17/199.17 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.17 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 199.17/199.17 => V_x_2 = V_y_2 ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__fun,axiom,
% 199.17/199.17 ! [T_d,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.17 => c_Fun_Oinj__on(T_b,tc_fun(T_d,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,T_c),T_b),c_COMBK(T_c,T_d)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__imageD,axiom,
% 199.17/199.17 ! [V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 199.17/199.17 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2)
% 199.17/199.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__image__eq__iff,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.17 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)
% 199.17/199.17 <=> V_A_2 = V_B_2 ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 199.17/199.17 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)
% 199.17/199.17 <=> V_A_2 = V_B_2 ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_card__image,axiom,
% 199.17/199.17 ! [V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.17 => hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__on__strict__subset,axiom,
% 199.17/199.17 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__image__mem__iff,axiom,
% 199.17/199.17 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 199.17/199.17 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_range__ex1__eq,axiom,
% 199.17/199.17 ! [V_b_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 199.17/199.17 <=> ? [B_x] :
% 199.17/199.17 ( V_b_2 = hAPP(V_f_2,B_x)
% 199.17/199.17 & ! [B_y] :
% 199.17/199.17 ( V_b_2 = hAPP(V_f_2,B_y)
% 199.17/199.17 => B_y = B_x ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__on__iff__surj,axiom,
% 199.17/199.17 ! [V_A_H_2,T_c,T_b,V_A_2] :
% 199.17/199.17 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => ( ? [B_f] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 199.17/199.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_A_H_2)) )
% 199.17/199.17 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__surj__inj,axiom,
% 199.17/199.17 ! [V_f_2,V_A_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2)))
% 199.17/199.17 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_endo__inj__surj,axiom,
% 199.17/199.17 ! [V_f_2,V_A_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2)),V_A_2))
% 199.17/199.17 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2)
% 199.17/199.17 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__UNIV__inj__surj,axiom,
% 199.17/199.17 ! [V_f_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 199.17/199.17 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.17 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__UNIV__surj__inj,axiom,
% 199.17/199.17 ! [V_f_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 199.17/199.17 => ( hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__image__subset__iff,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)))
% 199.17/199.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__on__image__Int,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 199.17/199.17 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_image__Int,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.17 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__on__iff__eq__card,axiom,
% 199.17/199.17 ! [V_f_2,T_c,V_A_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.17 <=> hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_eq__card__imp__inj__on,axiom,
% 199.17/199.17 ! [V_f_2,T_c,V_A_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => ( hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2)
% 199.17/199.17 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__on__image__set__diff,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 199.17/199.17 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_image__set__diff,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.17 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_pigeonhole,axiom,
% 199.17/199.17 ! [V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_c),V_A_2)))
% 199.17/199.17 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__on__fun__updI,axiom,
% 199.17/199.17 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 199.17/199.17 => c_Fun_Oinj__on(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_A_2) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__singleton,axiom,
% 199.17/199.17 ! [T_b] : c_Fun_Oinj__on(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Rep__Integ,axiom,
% 199.17/199.17 ! [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)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_card__bij__eq,axiom,
% 199.17/199.17 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2))
% 199.17/199.17 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_B_2)),V_A_2))
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 199.17/199.17 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__image__Compl__subset,axiom,
% 199.17/199.17 ! [V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__on__insert,axiom,
% 199.17/199.17 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))
% 199.17/199.17 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.17 & ~ hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__on__Un,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 199.17/199.17 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.17 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 199.17/199.17 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_card__inj__on__le,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2))
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2))) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__on__iff__card__le,axiom,
% 199.17/199.17 ! [V_B_2,T_c,V_A_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 199.17/199.17 => ( ? [B_f] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 199.17/199.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_B_2)) )
% 199.17/199.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2))) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_quotient__diff1,axiom,
% 199.17/199.17 ! [V_a_2,V_A_2,V_r_2,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 199.17/199.17 => hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_image__INT,axiom,
% 199.17/199.17 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 199.17/199.17 => ( ! [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,B_x)),V_C_2)) )
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2))
% 199.17/199.17 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Set_Oimage(T_b,T_c,V_f_2)),V_B_2)) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_type__definition__Integ,axiom,
% 199.17/199.17 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) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_the__inv__into__into,axiom,
% 199.17/199.17 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_x_2)),V_B_2)) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__on__add__nat,axiom,
% 199.17/199.17 ! [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) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__Suc,axiom,
% 199.17/199.17 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__of__nat,axiom,
% 199.17/199.17 ! [T_b] :
% 199.17/199.17 ( class_Nat_Osemiring__char__0(T_b)
% 199.17/199.17 => c_Fun_Oinj__on(tc_Nat_Onat,T_b,c_Nat_Osemiring__1__class_Oof__nat(T_b),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__int,axiom,
% 199.17/199.17 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))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_swap__inj__on,axiom,
% 199.17/199.17 ! [V_A_2,T_c,T_b] : c_Fun_Oinj__on(tc_prod(T_b,T_c),tc_prod(T_c,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_c,T_b)),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))),V_A_2) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_the__inv__into__f__f,axiom,
% 199.17/199.17 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 199.17/199.17 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_the__inv__into__f__eq,axiom,
% 199.17/199.17 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.17 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 199.17/199.17 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_the__inv__f__f,axiom,
% 199.17/199.17 ! [V_x_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.17 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_the__inv__into__onto,axiom,
% 199.17/199.17 ! [V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.17 => hAPP(c_Set_Oimage(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__on__the__inv__into,axiom,
% 199.17/199.17 ! [V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.17 => c_Fun_Oinj__on(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_f__the__inv__into__f,axiom,
% 199.17/199.17 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 199.17/199.17 => hAPP(V_f_2,hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_type__definition_ORep__range,axiom,
% 199.17/199.17 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 199.17/199.17 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 199.17/199.17 => hAPP(c_Set_Oimage(T_b,T_c,V_Rep_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_type__definition_OAbs__image,axiom,
% 199.17/199.17 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 199.17/199.17 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 199.17/199.17 => hAPP(c_Set_Oimage(T_c,T_b,V_Abs_2),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_type__definition_OAbs__inject,axiom,
% 199.17/199.17 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 199.17/199.17 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 199.17/199.17 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 199.17/199.17 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_type__definition_ORep__inject,axiom,
% 199.17/199.17 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 199.17/199.17 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 199.17/199.17 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 199.17/199.17 <=> V_x_2 = V_y_2 ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_type__definition_ORep__inverse,axiom,
% 199.17/199.17 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 199.17/199.17 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 199.17/199.17 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_type__definition_ORep,axiom,
% 199.17/199.17 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 199.17/199.17 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_type__definition_OAbs__inverse,axiom,
% 199.17/199.17 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 199.17/199.17 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 199.17/199.17 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 199.17/199.17 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 199.17/199.17 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 199.17/199.17 & class_Groups_Ocomm__monoid__mult(T_b) )
% 199.17/199.17 => ( V_A_2 = V_B_2
% 199.17/199.17 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 199.17/199.17 => ( ! [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 199.17/199.17 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 199.17/199.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_accp__acc__eq,axiom,
% 199.17/199.17 ! [V_x_2,V_r_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),V_x_2))
% 199.17/199.17 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_max__extp_Oequations,axiom,
% 199.17/199.17 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 199.17/199.17 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 199.17/199.17 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 199.17/199.17 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 199.17/199.17 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 & ! [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 199.17/199.17 => ? [B_xa] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 199.17/199.17 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_acc__subset,axiom,
% 199.17/199.17 ! [V_R2_2,V_R1_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R1_2),V_R2_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oacc(T_b,V_R2_2)),c_Wellfounded_Oacc(T_b,V_R1_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_acc_Osimps,axiom,
% 199.17/199.17 ! [V_r_2,V_a_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 199.17/199.17 <=> ! [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_a_2)),V_r_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_acc__downward,axiom,
% 199.17/199.17 ! [V_a_2,V_r_2,V_b_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_max__ext_Ointros,axiom,
% 199.17/199.17 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 199.17/199.17 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => ( ! [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 199.17/199.17 => ? [B_xa] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 199.17/199.17 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) )
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 199.17/199.17 ! [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))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__on__Inter,axiom,
% 199.17/199.17 ! [V_f_2,T_c,T_b,V_S_2] :
% 199.17/199.17 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 199.17/199.17 => ( ! [B_A] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2))
% 199.17/199.17 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) )
% 199.17/199.17 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_S_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Nitpick_Oone__frac__def,axiom,
% 199.17/199.17 ! [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))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 199.17/199.17 ! [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))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Nitpick_Ofrac__def,axiom,
% 199.17/199.17 ! [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)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_the__elem__def,axiom,
% 199.17/199.17 ! [V_X_2,T_b] : c_Set_Othe__elem(T_b,V_X_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),hAPP(c_fequal,V_X_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Rep__Integ__cases,axiom,
% 199.17/199.17 ! [V_y_2] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 199.17/199.17 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Rep__Integ__induct,axiom,
% 199.17/199.17 ! [V_Pa_2,V_y_2] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 199.17/199.17 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Int_ORep__Integ,B_x)))
% 199.17/199.17 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_The__split__eq,axiom,
% 199.17/199.17 ! [V_y_2,V_x_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_split__paired__The,axiom,
% 199.17/199.17 ! [V_Pa_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),V_Pa_2) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c)))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_the__inv__into__def,axiom,
% 199.17/199.17 ! [V_x_2,V_f_2,V_A_2,T_c,T_b] : hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_x_2))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_fold__def,axiom,
% 199.17/199.17 ! [V_A_2,V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold__graph(T_c,T_b,V_f_2,V_z_2,V_A_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_divmod__nat__def,axiom,
% 199.17/199.17 ! [V_na_2,V_m_2] : c_Divides_Odivmod__nat(V_m_2,V_na_2) = c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(V_m_2,V_na_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_fold1__def,axiom,
% 199.17/199.17 ! [V_A_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_The__split,axiom,
% 199.17/199.17 ! [V_Pa_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2)) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_Pa_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_flat__lub__def,axiom,
% 199.17/199.17 ! [V_b_2,V_A_2,T_b] :
% 199.17/199.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 199.17/199.17 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 )
% 199.17/199.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 199.17/199.17 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__vimage__singleton,axiom,
% 199.17/199.17 ! [V_a_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_b),c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_a_2))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__on__INTER,axiom,
% 199.17/199.17 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] :
% 199.17/199.17 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => ( ! [B_i] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2))
% 199.17/199.17 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) )
% 199.17/199.17 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimageI,axiom,
% 199.17/199.17 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] :
% 199.17/199.17 ( hAPP(V_f_2,V_a_2) = V_b_2
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimage__UNIV,axiom,
% 199.17/199.17 ! [V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimage__Int,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimage__mono,axiom,
% 199.17/199.17 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimage__Compl,axiom,
% 199.17/199.17 ! [V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimage__code,axiom,
% 199.17/199.17 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2))
% 199.17/199.17 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimage__ident,axiom,
% 199.17/199.17 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimage__INT,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Ovimage(T_b,T_c,V_f_2)),V_B_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimage__Un,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimage__empty,axiom,
% 199.17/199.17 ! [V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimage__UN,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Ovimage(T_b,T_c,V_f_2)),V_B_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimageI2,axiom,
% 199.17/199.17 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimageD,axiom,
% 199.17/199.17 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimage__eq,axiom,
% 199.17/199.17 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)))
% 199.17/199.17 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimage__Diff,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_image__vimage__subset,axiom,
% 199.17/199.17 ! [V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))),V_A_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_surj__image__vimage__eq,axiom,
% 199.17/199.17 ! [V_A_2,V_f_2,T_b,T_c] :
% 199.17/199.17 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)) = V_A_2 ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimage__Union,axiom,
% 199.17/199.17 ! [V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Set_Ovimage(T_b,T_c,V_f_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimage__singleton__eq,axiom,
% 199.17/199.17 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 199.17/199.17 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimage__insert,axiom,
% 199.17/199.17 ! [V_B_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__vimageD,axiom,
% 199.17/199.17 ! [V_F_2,V_h_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 199.17/199.17 => ( hAPP(c_Set_Oimage(T_b,T_c,V_h_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 199.17/199.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimage__subsetD,axiom,
% 199.17/199.17 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] :
% 199.17/199.17 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2)),V_A_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_image__vimage__eq,axiom,
% 199.17/199.17 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__vimageI,axiom,
% 199.17/199.17 ! [V_h_2,T_c,V_F_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 199.17/199.17 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 199.17/199.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__vimage__image__eq,axiom,
% 199.17/199.17 ! [V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.17 => hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimage__const,axiom,
% 199.17/199.17 ! [T_c,V_A_2,V_c_2,T_b] :
% 199.17/199.17 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 199.17/199.17 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 199.17/199.17 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 199.17/199.17 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimage__eq__UN,axiom,
% 199.17/199.17 ! [V_B_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_Ovimage(T_b,T_c,V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Set_Oinsert(T_c)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimage__subsetI,axiom,
% 199.17/199.17 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)),V_A_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimage__if,axiom,
% 199.17/199.17 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] :
% 199.17/199.17 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 199.17/199.17 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 199.17/199.17 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 199.17/199.17 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 199.17/199.17 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = V_B_2 ) ) )
% 199.17/199.17 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 199.17/199.17 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 199.17/199.17 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_B_2) )
% 199.17/199.17 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 199.17/199.17 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_image__split__eq__Sigma,axiom,
% 199.17/199.17 ! [V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Set_Oimage(T_d,tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_Oimage(T_d,T_b,V_f_2),V_A_2)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_Oimage(T_d,T_c,V_g_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_b),c_Set_Ovimage(T_d,T_b,V_f_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_A_2))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_card__less__Suc,axiom,
% 199.17/199.17 ! [V_i_2,V_M_2] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 199.17/199.17 => 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))))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_card__less,axiom,
% 199.17/199.17 ! [V_i_2,V_M_2] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 199.17/199.17 => 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) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_CollectI,axiom,
% 199.17/199.17 ! [T_b,V_a_2,V_Pa_2] :
% 199.17/199.17 ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__Collect__conjI,axiom,
% 199.17/199.17 ! [V_Q_2,V_Pa_2,T_b] :
% 199.17/199.17 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 199.17/199.17 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) )
% 199.17/199.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2)),V_Q_2)))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__Collect__less__nat,axiom,
% 199.17/199.17 ! [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)))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__Collect__le__nat,axiom,
% 199.17/199.17 ! [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)))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_SigmaI,axiom,
% 199.17/199.17 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimage__Collect__eq,axiom,
% 199.17/199.17 ! [V_Pa_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),V_Pa_2),V_f_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Sigma__Diff__distrib1,axiom,
% 199.17/199.17 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Times__Diff__distrib1,axiom,
% 199.17/199.17 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Sigma__Diff__distrib2,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Collect__mem__eq,axiom,
% 199.17/199.17 ! [V_A_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)) = V_A_2 ).
% 199.17/199.17
% 199.17/199.17 fof(fact_mem__Collect__eq,axiom,
% 199.17/199.17 ! [V_Pa_2,V_a_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 199.17/199.17 <=> hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_CollectD,axiom,
% 199.17/199.17 ! [V_Pa_2,V_a_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 199.17/199.17 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_CollectE,axiom,
% 199.17/199.17 ! [V_Pa_2,V_a_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 199.17/199.17 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Times__eq__cancel2,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 199.17/199.17 => ( hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))
% 199.17/199.17 <=> V_A_2 = V_B_2 ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_insert__Collect,axiom,
% 199.17/199.17 ! [V_Pa_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)))),V_Pa_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Collect__split,axiom,
% 199.17/199.17 ! [V_Q_2,V_Pa_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_OCollect(T_c),V_Q_2))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_SetCompr__Sigma__eq,axiom,
% 199.17/199.17 ! [V_Q_2,V_Pa_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),V_Q_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_empty__def,axiom,
% 199.17/199.17 ! [T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fFalse)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Collect__empty__eq,axiom,
% 199.17/199.17 ! [V_Pa_2,T_b] :
% 199.17/199.17 ( hAPP(c_Set_OCollect(T_b),V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_empty__Collect__eq,axiom,
% 199.17/199.17 ! [V_Pa_2,T_b] :
% 199.17/199.17 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_Pa_2)
% 199.17/199.17 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Collect__disj__eq,axiom,
% 199.17/199.17 ! [V_Q_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_Pa_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_Set_OCollect(T_b),V_Q_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Collect__conj__eq,axiom,
% 199.17/199.17 ! [V_Q_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_Set_OCollect(T_b),V_Q_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Collect__neg__eq,axiom,
% 199.17/199.17 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Collect__def,axiom,
% 199.17/199.17 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),V_Pa_2) = V_Pa_2 ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__Collect__disjI,axiom,
% 199.17/199.17 ! [V_Q_2,V_Pa_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_Pa_2)),V_Q_2))))
% 199.17/199.17 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 199.17/199.17 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Sigma__Union,axiom,
% 199.17/199.17 ! [V_B_2,V_X_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_X_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Product__Type_OSigma(T_b,T_c)),V_B_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_UNIV__def,axiom,
% 199.17/199.17 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fTrue)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Sigma__empty1,axiom,
% 199.17/199.17 ! [V_B_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_card__cartesian__product,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_setsum__cartesian__product,axiom,
% 199.17/199.17 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 199.17/199.17 ( class_Groups_Ocomm__monoid__add(T_b)
% 199.17/199.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_c,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Times__empty,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_c,T_b] :
% 199.17/199.17 ( hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))
% 199.17/199.17 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Sigma__empty2,axiom,
% 199.17/199.17 ! [V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Compl__Times__UNIV2,axiom,
% 199.17/199.17 ! [V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Compl__Times__UNIV1,axiom,
% 199.17/199.17 ! [V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_setprod__cartesian__product,axiom,
% 199.17/199.17 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 199.17/199.17 ( class_Groups_Ocomm__monoid__mult(T_b)
% 199.17/199.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_c,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_insert__compr__raw,axiom,
% 199.17/199.17 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_insert__compr,axiom,
% 199.17/199.17 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Un__def,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Int__Collect,axiom,
% 199.17/199.17 ! [V_Pa_2,V_A_2,V_x_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))))
% 199.17/199.17 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 199.17/199.17 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Int__def,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Sigma__Un__distrib1,axiom,
% 199.17/199.17 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Times__Un__distrib1,axiom,
% 199.17/199.17 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Sigma__Un__distrib2,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Collect__conv__if,axiom,
% 199.17/199.17 ! [T_b,V_a_2,V_Pa_2] :
% 199.17/199.17 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 199.17/199.17 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 199.17/199.17 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 199.17/199.17 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Collect__conv__if2,axiom,
% 199.17/199.17 ! [T_b,V_a_2,V_Pa_2] :
% 199.17/199.17 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 199.17/199.17 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 199.17/199.17 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 199.17/199.17 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_singleton__conv,axiom,
% 199.17/199.17 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_singleton__conv2,axiom,
% 199.17/199.17 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_set__diff__eq,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__Collect__not,axiom,
% 199.17/199.17 ! [V_Pa_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2))))
% 199.17/199.17 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_insert__def,axiom,
% 199.17/199.17 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_B_2) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_swap__product,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_prod(T_b,T_c)),hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__cartesian__product,axiom,
% 199.17/199.17 ! [V_B_2,T_c,V_A_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 199.17/199.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Compl__eq,axiom,
% 199.17/199.17 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimage__def,axiom,
% 199.17/199.17 ! [V_B_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(T_c)),V_f_2)),V_B_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_equiv__type,axiom,
% 199.17/199.17 ! [V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Sigma__Int__distrib2,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Times__Int__distrib1,axiom,
% 199.17/199.17 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Sigma__Int__distrib1,axiom,
% 199.17/199.17 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Collect__imp__eq,axiom,
% 199.17/199.17 ! [V_Q_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),V_Pa_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2))),hAPP(c_Set_OCollect(T_b),V_Q_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Id__on__subset__Times,axiom,
% 199.17/199.17 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId__on(T_b,V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__M__bounded__by__nat,axiom,
% 199.17/199.17 ! [V_i_2,V_Pa_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),V_Pa_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_UNIV__Times__UNIV,axiom,
% 199.17/199.17 ! [T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_mem__Sigma__iff,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 199.17/199.17 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 199.17/199.17 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_SigmaD1,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_SigmaD2,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_SigmaE2,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 199.17/199.17 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 199.17/199.17 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_card__cartesian__product__singleton,axiom,
% 199.17/199.17 ! [V_A_2,V_x_2,T_c,T_b] : hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2))) = hAPP(c_Finite__Set_Ocard(T_c),V_A_2) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Times__subset__cancel2,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))))
% 199.17/199.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Image__subset,axiom,
% 199.17/199.17 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_C_2)),V_B_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_setsum__setsum__restrict,axiom,
% 199.17/199.17 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] :
% 199.17/199.17 ( class_Groups_Ocomm__monoid__add(T_d)
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 199.17/199.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d)),V_f_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_d),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_d),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d)),hAPP(c_COMBC(T_b,T_c,T_d),V_f_2))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2))))),V_T_2) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__cartesian__productD2,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 199.17/199.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__cartesian__productD1,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 199.17/199.17 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 199.17/199.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_if__image__distrib,axiom,
% 199.17/199.17 ! [V_S_2,V_g_2,V_f_2,V_Pa_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),V_Pa_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)))),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),V_Pa_2))))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_fst__image__times,axiom,
% 199.17/199.17 ! [V_A_2,T_c,T_b,V_B_2] :
% 199.17/199.17 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 199.17/199.17 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = V_A_2 ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_snd__image__times,axiom,
% 199.17/199.17 ! [V_B_2,T_c,T_b,V_A_2] :
% 199.17/199.17 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 199.17/199.17 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = V_B_2 ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_nat__seg__image__imp__finite,axiom,
% 199.17/199.17 ! [V_na_2,V_f_2,T_b,V_A_2] :
% 199.17/199.17 ( V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,V_f_2),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_na_2)))
% 199.17/199.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_setsum__restrict__set_H,axiom,
% 199.17/199.17 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 199.17/199.17 ( class_Groups_Ocomm__monoid__add(T_c)
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_insert__times__insert,axiom,
% 199.17/199.17 ! [V_B_2,V_b_2,V_A_2,V_a_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_B_2))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_B_2)))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_setsum__image__gen,axiom,
% 199.17/199.17 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] :
% 199.17/199.17 ( class_Groups_Ocomm__monoid__add(T_c)
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 199.17/199.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),T_c,T_d),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,tc_HOL_Obool),T_b),c_fequal),V_f_2)))))),hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_S_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__equiv__class,axiom,
% 199.17/199.17 ! [V_X_2,V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 199.17/199.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_UN__Times__distrib,axiom,
% 199.17/199.17 ! [V_F_2,V_E_2,V_B_2,V_A_2,T_c,T_b,T_e,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(T_d,T_e),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_d,T_e),V_A_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_d),V_B_2))),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),tc_fun(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_e,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),tc_fun(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_e)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_d),c_Product__Type_OSigma(T_b,T_c)),V_E_2))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),T_e),c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b)),V_F_2)))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_E_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_F_2))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Sigma__def,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),V_B_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_c),c_Set_Oinsert(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__quotient,axiom,
% 199.17/199.17 ! [V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 199.17/199.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Image__singleton,axiom,
% 199.17/199.17 ! [V_a_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_b))),hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2))),V_r_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_setsum__cases,axiom,
% 199.17/199.17 ! [V_g_2,V_f_2,V_Pa_2,V_A_2,T_b,T_c] :
% 199.17/199.17 ( class_Groups_Ocomm__monoid__add(T_c)
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),V_Pa_2)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2))))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_card__less__Suc2,axiom,
% 199.17/199.17 ! [V_i_2,V_M_2] :
% 199.17/199.17 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 199.17/199.17 => 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))))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 199.17/199.17 ! [V_A_2,V_I_2,T_c,T_b] :
% 199.17/199.17 ? [B_f] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,tc_prod(T_c,T_b),B_f,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))
% 199.17/199.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,tc_prod(T_c,T_b),B_f),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_I_2),V_A_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_fold__image__Sigma,axiom,
% 199.17/199.17 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 199.17/199.17 ( class_Groups_Ocomm__monoid__mult(T_d)
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => ( ! [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 199.17/199.17 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBC(T_b,T_d,tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(T_d,tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d)),T_b),c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d))),V_g_2)),c_Groups_Oone__class_Oone(T_d))),V_B_2)),c_Groups_Oone__class_Oone(T_d)),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,tc_prod(T_b,T_c),c_Groups_Otimes__class_Otimes(T_d)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_g_2)),c_Groups_Oone__class_Oone(T_d)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_setsum__multicount,axiom,
% 199.17/199.17 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 199.17/199.17 => ( ! [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2))
% 199.17/199.17 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = V_k_2 )
% 199.17/199.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_c),V_T_2)) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__Collect__subsets,axiom,
% 199.17/199.17 ! [V_A_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Pow__def,axiom,
% 199.17/199.17 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__graph,axiom,
% 199.17/199.17 ! [T_c,T_b] : c_Fun_Oinj__on(tc_fun(T_b,T_c),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,T_c)),c_Set_OCollect(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,T_c)),c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool)),hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal)))),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 199.17/199.17 ! [V_Pa_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__psubset__def,axiom,
% 199.17/199.17 ! [T_b] : c_Wellfounded_Ofinite__psubset(T_b) = hAPP(c_Set_OCollect(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool))))),c_Finite__Set_Ofinite(T_b)))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inv__image__def,axiom,
% 199.17/199.17 ! [V_f_2,V_r_2,T_b,T_c] : hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_c,T_c)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_c),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_c)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_c)),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),T_b),c_COMBB(T_c,tc_prod(T_c,T_c),T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_prod(T_c,T_c)),T_b),c_Product__Type_OPair(T_c,T_c)),V_f_2))),V_f_2)))),V_r_2))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 199.17/199.17 ! [V_Pa_2] : hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Nat_Onat),V_Pa_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 199.17/199.17 ! [V_Pa_2] : hAPP(c_Set_OCollect(tc_Nat_Onat),V_Pa_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),V_Pa_2),c_Int_Onat)))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Nitpick_Oprod__def,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_c,T_b] : c_Nitpick_Oprod(T_b,T_c,V_A_2,V_B_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2)))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_int__ge__less__than__def,axiom,
% 199.17/199.17 ! [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)))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_int__ge__less__than2__def,axiom,
% 199.17/199.17 ! [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)))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_setprod__Sigma,axiom,
% 199.17/199.17 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 199.17/199.17 ( class_Groups_Ocomm__monoid__mult(T_d)
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => ( ! [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 199.17/199.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_b,T_c),T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_setsum__Sigma,axiom,
% 199.17/199.17 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 199.17/199.17 ( class_Groups_Ocomm__monoid__add(T_d)
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => ( ! [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 199.17/199.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_b,T_c),T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_card__SigmaI,axiom,
% 199.17/199.17 ! [V_B_2,T_c,V_A_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => ( ! [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 199.17/199.17 => hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),V_B_2)),V_A_2) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 199.17/199.17 ! [V_x_2,V_A_2,T_b] :
% 199.17/199.17 ( class_Orderings_Olinorder(T_b)
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 199.17/199.17 ! [V_x_2,V_A_2,T_b] :
% 199.17/199.17 ( class_Orderings_Olinorder(T_b)
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_b] :
% 199.17/199.17 ( class_Orderings_Olinorder(T_b)
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 199.17/199.17 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omax(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__image__set,axiom,
% 199.17/199.17 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 199.17/199.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_b)),c_fequal)),V_f_2)))),V_Pa_2))))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__Collect__bounded__ex,axiom,
% 199.17/199.17 ! [V_Q_2,T_c,V_Pa_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Q_2)))))
% 199.17/199.17 <=> ! [B_y] :
% 199.17/199.17 ( hBOOL(hAPP(V_Pa_2,B_y))
% 199.17/199.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Q_2),B_y)))) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Pow__Compl,axiom,
% 199.17/199.17 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool))),c_fequal)),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),c_Set_OPow(T_b))))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_add__Max__commute,axiom,
% 199.17/199.17 ! [V_k_2,V_N_2,T_b] :
% 199.17/199.17 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 199.17/199.17 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_add__Min__commute,axiom,
% 199.17/199.17 ! [V_k_2,V_N_2,T_b] :
% 199.17/199.17 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 199.17/199.17 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_sup__Inf1__distrib,axiom,
% 199.17/199.17 ! [V_x_2,V_A_2,T_b] :
% 199.17/199.17 ( class_Lattices_Odistrib__lattice(T_b)
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_sup__Inf2__distrib,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_b] :
% 199.17/199.17 ( class_Lattices_Odistrib__lattice(T_b)
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 199.17/199.17 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__sup__class_Osup(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inf__Sup1__distrib,axiom,
% 199.17/199.17 ! [V_x_2,V_A_2,T_b] :
% 199.17/199.17 ( class_Lattices_Odistrib__lattice(T_b)
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inf__Sup2__distrib,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_b] :
% 199.17/199.17 ( class_Lattices_Odistrib__lattice(T_b)
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 199.17/199.17 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__inf__class_Oinf(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_b] :
% 199.17/199.17 ( class_Orderings_Olinorder(T_b)
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 199.17/199.17 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omin(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] :
% 199.17/199.17 ( class_Rings_Osemiring__0(T_d)
% 199.17/199.17 => ( c_Fun_Oinj__on(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_d),tc_fun(T_c,T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_d),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,T_d)),T_b),c_COMBB(T_d,T_d,T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_b),c_Groups_Otimes__class_Otimes(T_d)),V_f_2))),V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))
% 199.17/199.17 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_d),c_Fun_Oid(T_d)),hAPP(c_Set_OCollect(T_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_d),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c))),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj))),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_b,tc_fun(T_c,T_d)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_c,T_d)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool)),T_d),c_COMBB(T_d,tc_HOL_Obool,T_c)),c_fequal))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_d),tc_fun(T_c,T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_d),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,T_d)),T_b),c_COMBB(T_d,T_d,T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_b),c_Groups_Otimes__class_Otimes(T_d)),V_f_2))),V_g_2)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))))))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__SigmaI,axiom,
% 199.17/199.17 ! [V_B_2,T_c,V_A_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 => ( ! [B_a] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 199.17/199.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 199.17/199.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_setsum__multicount__gen,axiom,
% 199.17/199.17 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 199.17/199.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2))
% 199.17/199.17 => ( ! [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2))
% 199.17/199.17 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_s_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = hAPP(V_k_2,B_x) )
% 199.17/199.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_t_2)))),V_R_2)))),V_s_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_k_2),V_t_2) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_inj__on__id,axiom,
% 199.17/199.17 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_id__apply,axiom,
% 199.17/199.17 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 199.17/199.17
% 199.17/199.17 fof(fact_apsnd__id,axiom,
% 199.17/199.17 ! [T_b,T_c] : c_Product__Type_Oapsnd(T_c,T_c,T_b,c_Fun_Oid(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_id__def,axiom,
% 199.17/199.17 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 199.17/199.17
% 199.17/199.17 fof(fact_apfst__id,axiom,
% 199.17/199.17 ! [T_c,T_b] : c_Product__Type_Oapfst(T_b,T_b,T_c,c_Fun_Oid(T_b)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_vimage__id,axiom,
% 199.17/199.17 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ).
% 199.17/199.17
% 199.17/199.17 fof(fact_image__id,axiom,
% 199.17/199.17 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ).
% 199.17/199.17
% 199.17/199.17 fof(fact_of__int__eq__id,axiom,
% 199.17/199.17 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_surj__id,axiom,
% 199.17/199.17 ! [T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_split__Pair,axiom,
% 199.17/199.17 ! [T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_setsum__reindex__id,axiom,
% 199.17/199.17 ! [V_B_2,V_f_2,T_b,T_c] :
% 199.17/199.17 ( class_Groups_Ocomm__monoid__add(T_c)
% 199.17/199.17 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 199.17/199.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_setprod__reindex__id,axiom,
% 199.17/199.17 ! [V_B_2,V_f_2,T_b,T_c] :
% 199.17/199.17 ( class_Groups_Ocomm__monoid__mult(T_c)
% 199.17/199.17 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 199.17/199.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_SigmaE,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_c_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 199.17/199.17 => ~ ! [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.17 => ! [B_y] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x)))
% 199.17/199.17 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_map__pair__surj,axiom,
% 199.17/199.17 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] :
% 199.17/199.17 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_e,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))
% 199.17/199.17 => hAPP(c_Set_Oimage(tc_prod(T_c,T_e),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_c,T_b,T_e,T_d,V_f_2,V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_c,T_e),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__conv__nat__seg__image,axiom,
% 199.17/199.17 ! [V_A_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.17 <=> ? [B_n,B_f] : V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,B_f),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),B_n))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_map__pair__imageI,axiom,
% 199.17/199.17 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_R_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2))),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),tc_prod(T_d,T_e),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)),V_R_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_map__pair_Oid,axiom,
% 199.17/199.17 ! [T_c,T_b] : c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_Fun_Oid(T_b),c_Fun_Oid(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_map__pair_Oidentity,axiom,
% 199.17/199.17 ! [T_c,T_b] : c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_COMBI(T_b),c_COMBI(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_map__pair__simp,axiom,
% 199.17/199.17 ! [V_b_2,V_a_2,V_g_2,V_f_2,T_c,T_e,T_b,T_d] : hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),V_a_2),V_b_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_snd__prod__fun,axiom,
% 199.17/199.17 ! [V_x_2,V_g_2,V_f_2,T_e,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Omap__pair(T_d,T_c,T_e,T_b,V_f_2,V_g_2),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_map__pair__ident,axiom,
% 199.17/199.17 ! [V_z_2,T_c,T_b] : hAPP(c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_COMBI(T_b),c_COMBI(T_c)),V_z_2) = V_z_2 ).
% 199.17/199.17
% 199.17/199.17 fof(fact_fst__map__pair,axiom,
% 199.17/199.17 ! [V_x_2,V_g_2,V_f_2,T_e,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_apfst__def,axiom,
% 199.17/199.17 ! [V_f_2,T_c,T_d,T_b] : c_Product__Type_Oapfst(T_b,T_d,T_c,V_f_2) = c_Product__Type_Omap__pair(T_b,T_d,T_c,T_c,V_f_2,c_Fun_Oid(T_c)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_apsnd__def,axiom,
% 199.17/199.17 ! [V_f_2,T_b,T_d,T_c] : c_Product__Type_Oapsnd(T_c,T_d,T_b,V_f_2) = c_Product__Type_Omap__pair(T_b,T_b,T_c,T_d,c_Fun_Oid(T_b),V_f_2) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_map__pair__def,axiom,
% 199.17/199.17 ! [V_g_2,V_f_2,T_e,T_c,T_d,T_b] : c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_d,T_e)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_e),tc_fun(T_c,tc_prod(T_d,T_e))),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_d,T_e)),tc_fun(tc_fun(T_c,T_e),tc_fun(T_c,tc_prod(T_d,T_e))),T_b),c_COMBB(T_e,tc_prod(T_d,T_e),T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_e,tc_prod(T_d,T_e)),T_b),c_Product__Type_OPair(T_d,T_e)),V_f_2))),V_g_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_map__pair__surj__on,axiom,
% 199.17/199.17 ! [V_B_H_2,V_B_2,V_g_2,T_d,T_e,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 199.17/199.17 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 199.17/199.17 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2
% 199.17/199.17 => hAPP(c_Set_Oimage(tc_prod(T_c,T_e),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_c,T_b,T_e,T_d,V_f_2,V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_e),V_A_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_H_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_H_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_map__pair__inj__on,axiom,
% 199.17/199.17 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.17 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2)
% 199.17/199.17 => c_Fun_Oinj__on(tc_prod(T_b,T_d),tc_prod(T_c,T_e),c_Product__Type_Omap__pair(T_b,T_c,T_d,T_e,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_2))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_prod__fun__imageE,axiom,
% 199.17/199.17 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_c_2),hAPP(c_Set_Oimage(tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2)),V_R_2)))
% 199.17/199.17 => ~ ! [B_x,B_y] :
% 199.17/199.17 ( V_c_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y))
% 199.17/199.17 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),B_x),B_y)),V_R_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_rel__comp__def,axiom,
% 199.17/199.17 ! [V_s_2,V_r_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_r_2),V_s_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_d))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBS(T_d,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_d),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBC(T_d,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_b,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_d),tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_b,T_d)))),c_Product__Type_OPair(T_b,T_d)))),V_r_2))))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_d,T_c)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_d,T_c),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_d,T_c)))),hAPP(c_COMBC(T_d,T_c,tc_prod(T_d,T_c)),c_Product__Type_OPair(T_d,T_c))))),V_s_2))))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Range__Collect__split,axiom,
% 199.17/199.17 ! [V_Pa_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Pa_2))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_rel__compI,axiom,
% 199.17/199.17 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_b_2),V_c_2)),V_s_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_a_2),V_c_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_RangeI,axiom,
% 199.17/199.17 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Range__Id__on,axiom,
% 199.17/199.17 ! [V_A_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = V_A_2 ).
% 199.17/199.17
% 199.17/199.17 fof(fact_rel__comp__empty2,axiom,
% 199.17/199.17 ! [V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_rel__comp__empty1,axiom,
% 199.17/199.17 ! [V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool))),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_rel__comp__distrib,axiom,
% 199.17/199.17 ! [V_T_2,V_S_2,V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),V_S_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),V_T_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_rel__comp__distrib2,axiom,
% 199.17/199.17 ! [V_R_2,V_T_2,V_S_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),V_S_2),V_T_2)),V_R_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_S_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_T_2),V_R_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_O__assoc,axiom,
% 199.17/199.17 ! [V_T_2,V_S_2,V_R_2,T_e,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_e,T_d),V_R_2),V_S_2)),V_T_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_e,T_c),V_R_2),hAPP(hAPP(c_Relation_Orel__comp(T_e,T_d,T_c),V_S_2),V_T_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_rel__comp__mono,axiom,
% 199.17/199.17 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_s_H_2),V_s_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_H_2),V_s_H_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_rel__comp__UNION__distrib,axiom,
% 199.17/199.17 ! [V_r_2,V_I_2,T_e,V_s_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_s_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_I_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_e),hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_s_2)),V_r_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_rel__comp__UNION__distrib2,axiom,
% 199.17/199.17 ! [V_s_2,V_r_2,V_I_2,T_e,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),V_I_2),V_r_2)),V_s_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBC(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_e),c_Relation_Orel__comp(T_b,T_d,T_c)),V_r_2)),V_s_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_union__comp__emptyR,axiom,
% 199.17/199.17 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 199.17/199.17 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 199.17/199.17 => ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 199.17/199.17 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_B_2),V_C_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_union__comp__emptyL,axiom,
% 199.17/199.17 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 199.17/199.17 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 199.17/199.17 => ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_B_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 199.17/199.17 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Range__Union,axiom,
% 199.17/199.17 ! [V_S_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Relation_ORange(T_c,T_b)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Range__empty__iff,axiom,
% 199.17/199.17 ! [V_r_2,T_b,T_c] :
% 199.17/199.17 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Range__empty,axiom,
% 199.17/199.17 ! [T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_rel__comp__subset__Sigma,axiom,
% 199.17/199.17 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_s_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_B_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_C_2))))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_C_2)))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Range__Un__eq,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__Range,axiom,
% 199.17/199.17 ! [V_r_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 199.17/199.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_snd__eq__Range,axiom,
% 199.17/199.17 ! [V_R_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_b,c_Product__Type_Osnd(T_c,T_b)),V_R_2) = hAPP(c_Relation_ORange(T_c,T_b),V_R_2) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Range__iff,axiom,
% 199.17/199.17 ! [V_r_2,T_c,V_a_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 199.17/199.17 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_y),V_a_2)),V_r_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Range__insert,axiom,
% 199.17/199.17 ! [V_r_2,V_b_2,V_a_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Range__Int__subset,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2)))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Range__Diff__subset,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2))),hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_max__ext__compat,axiom,
% 199.17/199.17 ! [V_S_2,V_R_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_b,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_b,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_min__ext__compat,axiom,
% 199.17/199.17 ! [V_S_2,V_R_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_b,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_b,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omin__ext(T_b,V_R_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_RangeP__Range__eq,axiom,
% 199.17/199.17 ! [V_x_2,V_r_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2))
% 199.17/199.17 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_RangeE,axiom,
% 199.17/199.17 ! [V_r_2,T_c,V_b_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 199.17/199.17 => ~ ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_pred__comp__rel__comp__eq,axiom,
% 199.17/199.17 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d)))),V_s_2)),V_x_2),V_y_2))
% 199.17/199.17 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_pred__comp_Ointros,axiom,
% 199.17/199.17 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2),V_a_2),V_c_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_RangeP_Ointros,axiom,
% 199.17/199.17 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 199.17/199.17 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_RangeP_Oequations,axiom,
% 199.17/199.17 ! [V_a2_2,V_r_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2))
% 199.17/199.17 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_pred__comp_Oequations,axiom,
% 199.17/199.17 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2),V_a1_2),V_a3_2))
% 199.17/199.17 <=> ? [B_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 199.17/199.17 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_reduction__pairI,axiom,
% 199.17/199.17 ! [V_S_2,V_R_2,T_b] :
% 199.17/199.17 ( c_Wellfounded_Owf(T_b,V_R_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 199.17/199.17 => c_FunDef_Oreduction__pair(T_b,hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_refl__on__def,axiom,
% 199.17/199.17 ! [V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 199.17/199.17 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 199.17/199.17 & ! [B_x] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Domain__Collect__split,axiom,
% 199.17/199.17 ! [V_Pa_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),V_Pa_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf__less__than,axiom,
% 199.17/199.17 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf__empty,axiom,
% 199.17/199.17 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf__inv__image,axiom,
% 199.17/199.17 ! [V_f_2,T_c,V_r_2,T_b] :
% 199.17/199.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 199.17/199.17 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf__lex__prod,axiom,
% 199.17/199.17 ! [V_rb_2,T_c,V_ra_2,T_b] :
% 199.17/199.17 ( c_Wellfounded_Owf(T_b,V_ra_2)
% 199.17/199.17 => ( c_Wellfounded_Owf(T_c,V_rb_2)
% 199.17/199.17 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf__measure,axiom,
% 199.17/199.17 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_DomainI,axiom,
% 199.17/199.17 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf__comp__self,axiom,
% 199.17/199.17 ! [V_R_2,T_b] :
% 199.17/199.17 ( c_Wellfounded_Owf(T_b,V_R_2)
% 199.17/199.17 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_min__ext__wf,axiom,
% 199.17/199.17 ! [V_r_2,T_b] :
% 199.17/199.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 199.17/199.17 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf__subset,axiom,
% 199.17/199.17 ! [V_p_2,V_r_2,T_b] :
% 199.17/199.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_p_2),V_r_2))
% 199.17/199.17 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf__less,axiom,
% 199.17/199.17 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)))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_refl__on__Id__on,axiom,
% 199.17/199.17 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Domain__Id__on,axiom,
% 199.17/199.17 ! [V_A_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = V_A_2 ).
% 199.17/199.17
% 199.17/199.17 fof(fact_max__ext__wf,axiom,
% 199.17/199.17 ! [V_r_2,T_b] :
% 199.17/199.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 199.17/199.17 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf__pair__less,axiom,
% 199.17/199.17 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf__Int1,axiom,
% 199.17/199.17 ! [V_r_H_2,V_r_2,T_b] :
% 199.17/199.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 199.17/199.17 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf__Int2,axiom,
% 199.17/199.17 ! [V_r_H_2,V_r_2,T_b] :
% 199.17/199.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 199.17/199.17 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_H_2),V_r_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf__finite__psubset,axiom,
% 199.17/199.17 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf__mlex,axiom,
% 199.17/199.17 ! [V_f_2,V_R_2,T_b] :
% 199.17/199.17 ( c_Wellfounded_Owf(T_b,V_R_2)
% 199.17/199.17 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf__not__refl,axiom,
% 199.17/199.17 ! [V_a_2,V_r_2,T_b] :
% 199.17/199.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 199.17/199.17 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf__not__sym,axiom,
% 199.17/199.17 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 199.17/199.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2))
% 199.17/199.17 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf__asym,axiom,
% 199.17/199.17 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 199.17/199.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2))
% 199.17/199.17 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf__irrefl,axiom,
% 199.17/199.17 ! [V_a_2,V_r_2,T_b] :
% 199.17/199.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 199.17/199.17 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf__int__ge__less__than2,axiom,
% 199.17/199.17 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf__int__ge__less__than,axiom,
% 199.17/199.17 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf__Un,axiom,
% 199.17/199.17 ! [V_s_2,V_r_2,T_b] :
% 199.17/199.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 199.17/199.17 => ( c_Wellfounded_Owf(T_b,V_s_2)
% 199.17/199.17 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_b),V_r_2)),hAPP(c_Relation_ORange(T_b,T_b),V_s_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_acc__wfD,axiom,
% 199.17/199.17 ! [V_x_2,V_r_2,T_b] :
% 199.17/199.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf__acc__iff,axiom,
% 199.17/199.17 ! [V_r_2,T_b] :
% 199.17/199.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 199.17/199.17 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf__no__loop,axiom,
% 199.17/199.17 ! [V_R_2,T_b] :
% 199.17/199.17 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 199.17/199.17 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf__union__merge,axiom,
% 199.17/199.17 ! [V_S_2,V_R_2,T_b] :
% 199.17/199.17 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2))
% 199.17/199.17 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_S_2),V_R_2))),V_S_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Domain__empty__iff,axiom,
% 199.17/199.17 ! [V_r_2,T_c,T_b] :
% 199.17/199.17 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.17 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Domain__empty,axiom,
% 199.17/199.17 ! [T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Domain__mono,axiom,
% 199.17/199.17 ! [V_s_2,V_r_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_s_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Domain__Un__eq,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_finite__Domain,axiom,
% 199.17/199.17 ! [V_r_2,T_c,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 199.17/199.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_refl__on__empty,axiom,
% 199.17/199.17 ! [T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_refl__on__Un,axiom,
% 199.17/199.17 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 199.17/199.17 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 199.17/199.17 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_fst__eq__Domain,axiom,
% 199.17/199.17 ! [V_R_2,T_c,T_b] : hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_b,c_Product__Type_Ofst(T_b,T_c)),V_R_2) = hAPP(c_Relation_ODomain(T_b,T_c),V_R_2) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_refl__on__Int,axiom,
% 199.17/199.17 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 199.17/199.17 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 199.17/199.17 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 199.17/199.17 ! [V_r_2,T_b] :
% 199.17/199.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 199.17/199.17 <=> ~ ? [B_f] :
% 199.17/199.17 ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(B_f,hAPP(c_Nat_OSuc,B_i))),hAPP(B_f,B_i))),V_r_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wfE__pf,axiom,
% 199.17/199.17 ! [V_A_2,V_R_2,T_b] :
% 199.17/199.17 ( c_Wellfounded_Owf(T_b,V_R_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),V_A_2)))
% 199.17/199.17 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf__union__compatible,axiom,
% 199.17/199.17 ! [V_S_2,V_R_2,T_b] :
% 199.17/199.17 ( c_Wellfounded_Owf(T_b,V_R_2)
% 199.17/199.17 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 199.17/199.17 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Domain__iff,axiom,
% 199.17/199.17 ! [V_r_2,T_c,V_a_2,T_b] :
% 199.17/199.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 199.17/199.17 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),B_y)),V_r_2)) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_wf,axiom,
% 199.17/199.17 ! [T_b] :
% 199.17/199.17 ( class_Orderings_Owellorder(T_b)
% 199.17/199.17 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless(T_b)))) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Domain__insert,axiom,
% 199.17/199.17 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_reduction__pair__def,axiom,
% 199.17/199.17 ! [V_Pa_2,T_b] :
% 199.17/199.17 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 199.17/199.17 <=> ( c_Wellfounded_Owf(T_b,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))
% 199.17/199.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_refl__onD2,axiom,
% 199.17/199.17 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_refl__onD1,axiom,
% 199.17/199.17 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_refl__onD,axiom,
% 199.17/199.17 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 199.17/199.17 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 199.17/199.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_reduction__pair__lemma,axiom,
% 199.17/199.17 ! [V_S_2,V_R_2,V_Pa_2,T_b] :
% 199.17/199.17 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)))
% 199.17/199.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)))
% 199.17/199.17 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 199.17/199.17 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ) ).
% 199.17/199.17
% 199.17/199.17 fof(fact_Domain__Int__subset,axiom,
% 199.17/199.17 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2)))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Domain__Diff__subset,axiom,
% 199.17/199.18 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2))),hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Field__def,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_b),V_r_2)),hAPP(c_Relation_ORange(T_b,T_b),V_r_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_wf__map__pair__image,axiom,
% 199.17/199.18 ! [V_f_2,T_c,V_r_2,T_b] :
% 199.17/199.18 ( c_Wellfounded_Owf(T_b,V_r_2)
% 199.17/199.18 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.18 => c_Wellfounded_Owf(T_c,hAPP(c_Set_Oimage(tc_prod(T_b,T_b),tc_prod(T_c,T_c),c_Product__Type_Omap__pair(T_b,T_c,T_b,T_c,V_f_2,V_f_2)),V_r_2)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Domain__Union,axiom,
% 199.17/199.18 ! [V_S_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Relation_ODomain(T_b,T_c)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_reflp__def,axiom,
% 199.17/199.18 ! [V_r_2,T_b] :
% 199.17/199.18 ( c_Predicate_Oreflp(T_b,V_r_2)
% 199.17/199.18 <=> c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_DomainP__Domain__eq,axiom,
% 199.17/199.18 ! [V_x_2,V_r_2,T_c,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2))
% 199.17/199.18 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_wf__lenlex,axiom,
% 199.17/199.18 ! [V_r_2,T_b] :
% 199.17/199.18 ( c_Wellfounded_Owf(T_b,V_r_2)
% 199.17/199.18 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_DomainP_Ointros,axiom,
% 199.17/199.18 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 199.17/199.18 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_reflpE,axiom,
% 199.17/199.18 ! [V_x_2,V_r_2,T_b] :
% 199.17/199.18 ( c_Predicate_Oreflp(T_b,V_r_2)
% 199.17/199.18 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_DomainP_Oequations,axiom,
% 199.17/199.18 ! [V_a1_2,V_r_2,T_c,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2))
% 199.17/199.18 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_pred__nat__def,axiom,
% 199.17/199.18 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))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_wf__lex,axiom,
% 199.17/199.18 ! [V_r_2,T_b] :
% 199.17/199.18 ( c_Wellfounded_Owf(T_b,V_r_2)
% 199.17/199.18 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_refl__onI,axiom,
% 199.17/199.18 ! [V_A_2,V_r_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 199.17/199.18 => ( ! [B_x] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) )
% 199.17/199.18 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_wf__pred__nat,axiom,
% 199.17/199.18 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_lex__def,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : c_List_Olex(T_b,V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_List_Olexn(T_b,V_r_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_wf__lexn,axiom,
% 199.17/199.18 ! [V_na_2,V_r_2,T_b] :
% 199.17/199.18 ( c_Wellfounded_Owf(T_b,V_r_2)
% 199.17/199.18 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_na_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_DomainE,axiom,
% 199.17/199.18 ! [V_r_2,T_c,V_a_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 199.17/199.18 => ~ ! [B_y] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),B_y)),V_r_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_lexn_Osimps_I1_J,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_wf__same__fst,axiom,
% 199.17/199.18 ! [T_b,V_R_2,T_c,V_Pa_2] :
% 199.17/199.18 ( ! [B_x] :
% 199.17/199.18 ( hBOOL(hAPP(V_Pa_2,B_x))
% 199.17/199.18 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) )
% 199.17/199.18 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_wf__if__measure,axiom,
% 199.17/199.18 ! [T_b,V_g_2,V_f_2,V_Pa_2] :
% 199.17/199.18 ( ! [B_x] :
% 199.17/199.18 ( hBOOL(hAPP(V_Pa_2,B_x))
% 199.17/199.18 => 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))) )
% 199.17/199.18 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),V_g_2))))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_wfP__def,axiom,
% 199.17/199.18 ! [V_r_2,T_b] :
% 199.17/199.18 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 199.17/199.18 <=> c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_wfP__empty,axiom,
% 199.17/199.18 ! [T_b] : c_Wellfounded_OwfP(T_b,hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fFalse))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_wfP__accp__iff,axiom,
% 199.17/199.18 ! [V_r_2,T_b] :
% 199.17/199.18 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 199.17/199.18 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_accp__wfPD,axiom,
% 199.17/199.18 ! [V_x_2,V_r_2,T_b] :
% 199.17/199.18 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 199.17/199.18 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_wfP__subset,axiom,
% 199.17/199.18 ! [V_p_2,V_r_2,T_b] :
% 199.17/199.18 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),V_p_2),V_r_2))
% 199.17/199.18 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_wf__in__rel,axiom,
% 199.17/199.18 ! [V_R_2,T_b] :
% 199.17/199.18 ( c_Wellfounded_Owf(T_b,V_R_2)
% 199.17/199.18 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_wfP__wf__eq,axiom,
% 199.17/199.18 ! [V_r_2,T_b] :
% 199.17/199.18 ( c_Wellfounded_OwfP(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2))
% 199.17/199.18 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_wfP__acyclicP,axiom,
% 199.17/199.18 ! [V_r_2,T_b] :
% 199.17/199.18 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 199.17/199.18 => c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_the__sym__eq__trivial,axiom,
% 199.17/199.18 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 199.17/199.18
% 199.17/199.18 fof(fact_the__eq__trivial,axiom,
% 199.17/199.18 ! [V_a_2,T_b] : c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = V_a_2 ).
% 199.17/199.18
% 199.17/199.18 fof(fact_acyclic__subset,axiom,
% 199.17/199.18 ! [V_r_2,V_s_2,T_b] :
% 199.17/199.18 ( c_Wellfounded_Oacyclic(T_b,V_s_2)
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 199.17/199.18 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_wf__acyclic,axiom,
% 199.17/199.18 ! [V_r_2,T_b] :
% 199.17/199.18 ( c_Wellfounded_Owf(T_b,V_r_2)
% 199.17/199.18 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_finite__acyclic__wf,axiom,
% 199.17/199.18 ! [V_r_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 199.17/199.18 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 199.17/199.18 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 199.17/199.18 ! [V_r_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 199.17/199.18 => ( c_Wellfounded_Owf(T_b,V_r_2)
% 199.17/199.18 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Nitpick_Owf_H__def,axiom,
% 199.17/199.18 ! [V_r_2,T_b] :
% 199.17/199.18 ( c_Nitpick_Owf_H(T_b,V_r_2)
% 199.17/199.18 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 199.17/199.18 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 199.17/199.18 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_pigeonhole__infinite,axiom,
% 199.17/199.18 ! [V_f_2,T_c,V_A_2,T_b] :
% 199.17/199.18 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 199.17/199.18 => ? [B_x] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.18 & ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),hAPP(V_f_2,B_x)))))) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_refl__on__def_H,axiom,
% 199.17/199.18 ! [V_r_2,V_A_2,T_b] :
% 199.17/199.18 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 199.17/199.18 <=> ( ! [B_x] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),B_x)) )
% 199.17/199.18 & ! [B_x] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Powp__def,axiom,
% 199.17/199.18 ! [V_B_2,V_A_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2))
% 199.17/199.18 <=> ! [B_x] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 199.17/199.18 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_INFI__bool__eq,axiom,
% 199.17/199.18 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_ball__empty,axiom,
% 199.17/199.18 ! [V_Pa_2,T_b,B_x] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 199.17/199.18 => hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Collect__ball__eq,axiom,
% 199.17/199.18 ! [V_Pa_2,V_A_2,T_c,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),V_Pa_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_Pa_2))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_congruent__def,axiom,
% 199.17/199.18 ! [V_f_2,V_r_2,T_c,T_b] :
% 199.17/199.18 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 199.17/199.18 <=> ! [B_x] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2))),V_f_2)),B_x)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_INTER__def,axiom,
% 199.17/199.18 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_member(T_b))),V_B_2)))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Inf__Sup,axiom,
% 199.17/199.18 ! [V_A_2,T_b] :
% 199.17/199.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 199.17/199.18 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),c_Orderings_Oord__class_Oless__eq(T_b))))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Sup__Inf,axiom,
% 199.17/199.18 ! [V_A_2,T_b] :
% 199.17/199.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 199.17/199.18 => c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b)))))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Abs__Integ__induct,axiom,
% 199.17/199.18 ! [V_x_2,V_Pa_2] :
% 199.17/199.18 ( ! [B_y] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 199.17/199.18 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 199.17/199.18 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Abs__Integ__cases,axiom,
% 199.17/199.18 ! [V_x_2] :
% 199.17/199.18 ~ ! [B_y] :
% 199.17/199.18 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 199.17/199.18 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_finite__UN__I,axiom,
% 199.17/199.18 ! [V_B_2,T_c,V_A_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.18 => ( ! [B_a] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 199.17/199.18 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 199.17/199.18 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Inter__eq,axiom,
% 199.17/199.18 ! [V_A_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fimplies),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))),c_member(T_b)))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_inj__on__diff__nat,axiom,
% 199.17/199.18 ! [V_k_2,V_N_2] :
% 199.17/199.18 ( ! [B_x] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 199.17/199.18 => 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) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_wfP__SUP,axiom,
% 199.17/199.18 ! [T_b,V_r_2,T_c] :
% 199.17/199.18 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i))
% 199.17/199.18 => ( ! [B_i,B_j] :
% 199.17/199.18 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 199.17/199.18 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_Predicate_ODomainP(T_c,T_c,hAPP(V_r_2,B_i))),c_Predicate_ORangeP(T_c,T_c,hAPP(V_r_2,B_j))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 199.17/199.18 => c_Wellfounded_OwfP(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_mem__splitI2,axiom,
% 199.17/199.18 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] :
% 199.17/199.18 ( ! [B_a,B_b] :
% 199.17/199.18 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) )
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_c_2),V_p_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_mem__splitE,axiom,
% 199.17/199.18 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_c_2),V_p_2)))
% 199.17/199.18 => ~ ! [B_x,B_y] :
% 199.17/199.18 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)
% 199.17/199.18 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_vimage__Times,axiom,
% 199.17/199.18 ! [V_B_2,V_A_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,tc_prod(T_c,T_d),V_f_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_c,T_b,c_Product__Type_Ofst(T_c,T_d)),V_f_2)),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_d,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_d,T_b,c_Product__Type_Osnd(T_c,T_d)),V_f_2)),V_B_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Eps__split,axiom,
% 199.17/199.18 ! [V_Pa_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2)) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_Pa_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_exE__some,axiom,
% 199.17/199.18 ! [T_b,V_c_2,V_Pa_2] :
% 199.17/199.18 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 199.17/199.18 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_Pa_2)
% 199.17/199.18 => hBOOL(hAPP(V_Pa_2,V_c_2)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_inj__on__imageI2,axiom,
% 199.17/199.18 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] :
% 199.17/199.18 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_H_2),V_f_2),V_A_2)
% 199.17/199.18 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_inj__comp,axiom,
% 199.17/199.18 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.18 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 199.17/199.18 => c_Fun_Oinj__on(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_inj__on__imageI,axiom,
% 199.17/199.18 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] :
% 199.17/199.18 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2),V_A_2)
% 199.17/199.18 => c_Fun_Oinj__on(T_d,T_c,V_g_2,hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_A_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_comp__inj__on,axiom,
% 199.17/199.18 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.18 => ( c_Fun_Oinj__on(T_c,T_d,V_g_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))
% 199.17/199.18 => c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),V_A_2) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_comp__inj__on__iff,axiom,
% 199.17/199.18 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.18 => ( c_Fun_Oinj__on(T_c,T_d,V_f_H_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))
% 199.17/199.18 <=> c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_f_H_2),V_f_2),V_A_2) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_image__compose,axiom,
% 199.17/199.18 ! [V_r_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_b,T_c,V_f_2),V_g_2)),V_r_2) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),V_r_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_comp__surj,axiom,
% 199.17/199.18 ! [V_g_2,T_d,V_f_2,T_b,T_c] :
% 199.17/199.18 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.18 => ( hAPP(c_Set_Oimage(T_b,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))
% 199.17/199.18 => hAPP(c_Set_Oimage(T_c,T_d,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_vimage__compose,axiom,
% 199.17/199.18 ! [V_x_2,V_f_2,V_g_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2)),V_x_2) = hAPP(c_Set_Ovimage(T_b,T_d,V_f_2),hAPP(c_Set_Ovimage(T_d,T_c,V_g_2),V_x_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_apfst__compose,axiom,
% 199.17/199.18 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_d,T_c,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_e,V_f_2),V_g_2)),V_x_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_o__def,axiom,
% 199.17/199.18 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_some__sym__eq__trivial,axiom,
% 199.17/199.18 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 199.17/199.18
% 199.17/199.18 fof(fact_some__eq__trivial,axiom,
% 199.17/199.18 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)) = V_x_2 ).
% 199.17/199.18
% 199.17/199.18 fof(fact_some__eq__ex,axiom,
% 199.17/199.18 ! [T_b,V_Pa_2] :
% 199.17/199.18 ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2)))
% 199.17/199.18 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_K__record__comp,axiom,
% 199.17/199.18 ! [V_x_2,V_f_2,V_c_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_f_2),V_x_2) = V_c_2 ).
% 199.17/199.18
% 199.17/199.18 fof(fact_someI__ex,axiom,
% 199.17/199.18 ! [T_b,V_Pa_2] :
% 199.17/199.18 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 199.17/199.18 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_apsnd__compose,axiom,
% 199.17/199.18 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_d,T_b,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_x_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 199.17/199.18 ! [V_x_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 199.17/199.18 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_comp__cong,axiom,
% 199.17/199.18 ! [T_f,T_e,T_d,T_b,T_c,V_x_H_2,V_g_H_2,V_f_H_2,V_x_2,V_g_2,V_f_2] :
% 199.17/199.18 ( 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))
% 199.17/199.18 => hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_e,T_b,T_f,V_f_H_2),V_g_H_2),V_x_H_2) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_o__assoc,axiom,
% 199.17/199.18 ! [V_h_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),hAPP(c_Fun_Ocomp(T_e,T_d,T_b,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_h_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_o__apply,axiom,
% 199.17/199.18 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_o__eq__dest,axiom,
% 199.17/199.18 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 199.17/199.18 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_c_2),V_d_2)
% 199.17/199.18 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_o__eq__elim,axiom,
% 199.17/199.18 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 199.17/199.18 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_c_2),V_d_2)
% 199.17/199.18 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_tfl__some,axiom,
% 199.17/199.18 ! [T_b,B_P] :
% 199.17/199.18 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 199.17/199.18 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_someI,axiom,
% 199.17/199.18 ! [T_b,V_x_2,V_Pa_2] :
% 199.17/199.18 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 199.17/199.18 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_o__eq__dest__lhs,axiom,
% 199.17/199.18 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 199.17/199.18 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2
% 199.17/199.18 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_fun__upd__comp,axiom,
% 199.17/199.18 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),c_Fun_Ofun__upd(T_b,T_d,V_g_2,V_x_2,V_y_2)) = c_Fun_Ofun__upd(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2),V_x_2,hAPP(V_f_2,V_y_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 199.17/199.18 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 199.17/199.18 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_map__pair_Ocompositionality,axiom,
% 199.17/199.18 ! [V_prod_2,V_i_2,V_h_2,T_g,T_f,V_g_2,V_f_2,T_c,T_e,T_b,T_d] : hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),hAPP(c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_h_2,V_i_2),V_prod_2)) = hAPP(c_Product__Type_Omap__pair(T_f,T_b,T_g,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_f,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_e,T_c,T_g,V_g_2),V_i_2)),V_prod_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_map__pair__compose,axiom,
% 199.17/199.18 ! [V_g2_2,V_g1_2,T_g,V_f2_2,V_f1_2,T_f,T_e,T_c,T_d,T_b] : c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f1_2),V_f2_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g1_2),V_g2_2)) = hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f1_2,V_g1_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_f2_2,V_g2_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_map__pair_Ocomp,axiom,
% 199.17/199.18 ! [V_i_2,V_h_2,V_g_2,V_f_2,T_c,T_b,T_e,T_d,T_g,T_f] : hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f_2,V_g_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_h_2,V_i_2)) = c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g_2),V_i_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_id__o,axiom,
% 199.17/199.18 ! [V_g_2,T_b,T_c] : hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_g_2) = V_g_2 ).
% 199.17/199.18
% 199.17/199.18 fof(fact_o__id,axiom,
% 199.17/199.18 ! [V_f_2,T_c,T_b] : hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_f_2),c_Fun_Oid(T_b)) = V_f_2 ).
% 199.17/199.18
% 199.17/199.18 fof(fact_o__eq__id__dest,axiom,
% 199.17/199.18 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 199.17/199.18 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_c_2)
% 199.17/199.18 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_setsum__reindex,axiom,
% 199.17/199.18 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 199.17/199.18 ( class_Groups_Ocomm__monoid__add(T_d)
% 199.17/199.18 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 199.17/199.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_B_2) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_setprod__reindex,axiom,
% 199.17/199.18 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 199.17/199.18 ( class_Groups_Ocomm__monoid__mult(T_d)
% 199.17/199.18 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 199.17/199.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_B_2) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_setprod__reindex__cong,axiom,
% 199.17/199.18 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 199.17/199.18 ( class_Groups_Ocomm__monoid__mult(T_d)
% 199.17/199.18 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.18 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 199.17/199.18 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)
% 199.17/199.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_split__paired__Eps,axiom,
% 199.17/199.18 ! [V_Pa_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),V_Pa_2) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c)))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Eps__split__eq,axiom,
% 199.17/199.18 ! [V_y_2,V_x_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_setsum_Oreindex,axiom,
% 199.17/199.18 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 199.17/199.18 ( class_Groups_Ocomm__monoid__add(T_c)
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.18 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 199.17/199.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_setprod_Oreindex,axiom,
% 199.17/199.18 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 199.17/199.18 ( class_Groups_Ocomm__monoid__mult(T_c)
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.18 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 199.17/199.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_the__inv__into__comp,axiom,
% 199.17/199.18 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))
% 199.17/199.18 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))))
% 199.17/199.18 => hAPP(c_Fun_Othe__inv__into(T_d,T_c,V_A_2,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Fun_Othe__inv__into(T_d,T_b,V_A_2,V_g_2)),c_Fun_Othe__inv__into(T_b,T_c,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_fold__image__reindex,axiom,
% 199.17/199.18 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] :
% 199.17/199.18 ( class_Groups_Oab__semigroup__mult(T_d)
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.18 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2)
% 199.17/199.18 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),V_z_2),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_h_2)),V_z_2),V_A_2) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_folding_Oremove,axiom,
% 199.17/199.18 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 199.17/199.18 => hAPP(V_F_2,V_A_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_folding__image_Oreindex,axiom,
% 199.17/199.18 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 199.17/199.18 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2)
% 199.17/199.18 => hAPP(hAPP(V_F_2,V_g_2),hAPP(c_Set_Oimage(T_c,T_c,V_h_2),V_A_2)) = hAPP(hAPP(V_F_2,hAPP(c_Fun_Ocomp(T_c,T_b,T_c,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_folding_Ounion,axiom,
% 199.17/199.18 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 199.17/199.18 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.18 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 199.17/199.18 ! [V_h_2,V_g_2,T_g,V_f_2,T_d,T_e,T_f,V_F_2,V_fa_2,T_c,T_b] :
% 199.17/199.18 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2)
% 199.17/199.18 => hAPP(c_Fun_Ocomp(T_f,T_e,T_d,V_f_2),hAPP(c_Fun_Ocomp(T_g,T_f,T_d,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_g,T_e,T_d,hAPP(c_Fun_Ocomp(T_f,T_e,T_g,V_f_2),V_g_2)),V_h_2) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_folding_Ocommute__comp,axiom,
% 199.17/199.18 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 199.17/199.18 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_folding_Ocommute__left__comp,axiom,
% 199.17/199.18 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 199.17/199.18 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),V_g_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_UN__o,axiom,
% 199.17/199.18 ! [V_f_2,V_g_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Fun_Ocomp(T_d,tc_fun(T_b,tc_HOL_Obool),T_c,V_g_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_g_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_fst__comp__map__pair,axiom,
% 199.17/199.18 ! [V_g_2,V_f_2,T_c,T_b,T_e,T_d] : hAPP(c_Fun_Ocomp(tc_prod(T_d,T_e),T_d,tc_prod(T_b,T_c),c_Product__Type_Ofst(T_d,T_e)),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_d,tc_prod(T_b,T_c),V_f_2),c_Product__Type_Ofst(T_b,T_c)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_snd__comp__map__pair,axiom,
% 199.17/199.18 ! [V_g_2,V_f_2,T_c,T_b,T_d,T_e] : hAPP(c_Fun_Ocomp(tc_prod(T_e,T_d),T_d,tc_prod(T_b,T_c),c_Product__Type_Osnd(T_e,T_d)),c_Product__Type_Omap__pair(T_b,T_e,T_c,T_d,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_d,tc_prod(T_b,T_c),V_g_2),c_Product__Type_Osnd(T_b,T_c)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_folding__image_Odistrib,axiom,
% 199.17/199.18 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 199.17/199.18 => hAPP(hAPP(V_F_2,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(V_f_2,hAPP(hAPP(V_F_2,V_g_2),V_A_2)),hAPP(hAPP(V_F_2,V_h_2),V_A_2)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_split__comp,axiom,
% 199.17/199.18 ! [V_x_2,V_g_2,V_f_2,T_e,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),hAPP(c_Fun_Ocomp(T_e,tc_fun(T_d,T_b),T_c,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2))),hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_folding_Ocommute__comp_H,axiom,
% 199.17/199.18 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.18 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 199.17/199.18 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.18 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 199.17/199.18 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 199.17/199.18 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 199.17/199.18 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 199.17/199.18 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),V_g_2)) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_folding_Oempty,axiom,
% 199.17/199.18 ! [V_F_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 199.17/199.18 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_folding_Oeq__fold,axiom,
% 199.17/199.18 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.18 => hAPP(hAPP(V_F_2,V_A_2),V_s_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_s_2),V_A_2) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_folding__image_Oeq__fold,axiom,
% 199.17/199.18 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 199.17/199.18 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_folding_Oinsert,axiom,
% 199.17/199.18 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 199.17/199.18 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_folding_Ounion__inter,axiom,
% 199.17/199.18 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 199.17/199.18 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_folding_Oinsert__remove,axiom,
% 199.17/199.18 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.18 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_setsum__reindex__nonzero,axiom,
% 199.17/199.18 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] :
% 199.17/199.18 ( class_Groups_Ocomm__monoid__add(T_d)
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 199.17/199.18 => ( ! [B_x] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 199.17/199.18 => ! [B_y] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2))
% 199.17/199.18 => ( B_x != B_y
% 199.17/199.18 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 199.17/199.18 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) )
% 199.17/199.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_S_2) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_folding__idem_Ounion__idem,axiom,
% 199.17/199.18 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 199.17/199.18 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 199.17/199.18 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 199.17/199.18 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_folding__idem_Oidem__comp,axiom,
% 199.17/199.18 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 199.17/199.18 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 199.17/199.18 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 199.17/199.18 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 199.17/199.18 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 199.17/199.18 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_folding__idem_Oinsert__idem,axiom,
% 199.17/199.18 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 199.17/199.18 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.18 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_strong__setprod__reindex__cong,axiom,
% 199.17/199.18 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 199.17/199.18 ( class_Groups_Ocomm__monoid__mult(T_d)
% 199.17/199.18 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.18 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 199.17/199.18 => ( ! [B_x] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.18 => hAPP(V_g_2,B_x) = hAPP(hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2),B_x) )
% 199.17/199.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_wfI__pf,axiom,
% 199.17/199.18 ! [V_R_2,T_b] :
% 199.17/199.18 ( ! [B_A] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),B_A)))
% 199.17/199.18 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 199.17/199.18 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Sigma__mono,axiom,
% 199.17/199.18 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 199.17/199.18 => ( ! [B_x] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,B_x)),hAPP(V_D_2,B_x))) )
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_C_2),V_D_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_acc_OaccI,axiom,
% 199.17/199.18 ! [V_r_2,V_x_2,T_b] :
% 199.17/199.18 ( ! [B_y] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_x_2)),V_r_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) )
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_not__acc__down,axiom,
% 199.17/199.18 ! [V_R_2,V_x_2,T_b] :
% 199.17/199.18 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2)))
% 199.17/199.18 => ~ ! [B_z] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_x_2)),V_R_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_max__ext_Osimps,axiom,
% 199.17/199.18 ! [V_R_2,V_a2_2,V_a1_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_a1_2),V_a2_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 199.17/199.18 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 199.17/199.18 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 199.17/199.18 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.18 & ! [B_x] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 199.17/199.18 => ? [B_xa] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 199.17/199.18 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_wf__no__infinite__down__chainE,axiom,
% 199.17/199.18 ! [V_f_2,V_r_2,T_b] :
% 199.17/199.18 ( c_Wellfounded_Owf(T_b,V_r_2)
% 199.17/199.18 => ~ ! [B_k] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_k))),hAPP(V_f_2,B_k))),V_r_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_iterate_Osimps,axiom,
% 199.17/199.18 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 199.17/199.18 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 199.17/199.18 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2) )
% 199.17/199.18 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 199.17/199.18 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_b,tc_prod(T_c,T_b)),hAPP(V_f_2,V_x_2)),c_Random_Oiterate(T_c,T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_f_2)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_setsum__reindex__cong,axiom,
% 199.17/199.18 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 199.17/199.18 ( class_Groups_Ocomm__monoid__add(T_d)
% 199.17/199.18 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.18 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 199.17/199.18 => ( ! [B_a] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 199.17/199.18 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 199.17/199.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_scomp__apply,axiom,
% 199.17/199.18 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_scomp__scomp,axiom,
% 199.17/199.18 ! [V_h_2,V_g_2,V_f_2,T_g,T_f,T_c,T_e,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_e,T_c),hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,tc_prod(T_d,T_e)),V_f_2),V_g_2)),V_h_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,T_c),V_f_2),hAPP(hAPP(c_COMBC(T_f,tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_g,tc_prod(T_d,T_e)),tc_fun(tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),T_f),c_Product__Type_Oscomp(T_g,T_d,T_e,T_c)),V_g_2)),V_h_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_scomp__Pair,axiom,
% 199.17/199.18 ! [V_x_2,T_d,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,tc_prod(T_c,T_d)),V_x_2),c_Product__Type_OPair(T_c,T_d)) = V_x_2 ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Pair__scomp,axiom,
% 199.17/199.18 ! [V_f_2,V_x_2,T_c,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_b,T_c),hAPP(c_Product__Type_OPair(T_d,T_b),V_x_2)),V_f_2) = hAPP(V_f_2,V_x_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_scomp__def,axiom,
% 199.17/199.18 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_scomp__unfold,axiom,
% 199.17/199.18 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_e),hAPP(V_f_2,V_x_2))),hAPP(c_Product__Type_Osnd(T_d,T_e),hAPP(V_f_2,V_x_2))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_less__eq,axiom,
% 199.17/199.18 ! [V_na_2,V_m_2] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),V_na_2)),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)))
% 199.17/199.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_wf__eq__minimal,axiom,
% 199.17/199.18 ! [V_r_2,T_b] :
% 199.17/199.18 ( c_Wellfounded_Owf(T_b,V_r_2)
% 199.17/199.18 <=> ! [B_Q] :
% 199.17/199.18 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 199.17/199.18 => ? [B_x] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 199.17/199.18 & ! [B_y] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2))
% 199.17/199.18 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_transfer__nat__int__set__cong,axiom,
% 199.17/199.18 ! [V_P_H_2,V_Pa_2] :
% 199.17/199.18 ( ! [B_x] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 199.17/199.18 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 199.17/199.18 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) )
% 199.17/199.18 => hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2)) = hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_H_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_wf__trancl,axiom,
% 199.17/199.18 ! [V_r_2,T_b] :
% 199.17/199.18 ( c_Wellfounded_Owf(T_b,V_r_2)
% 199.17/199.18 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_less__than__def,axiom,
% 199.17/199.18 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_acyclic__def,axiom,
% 199.17/199.18 ! [V_r_2,T_b] :
% 199.17/199.18 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 199.17/199.18 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_trancl_Or__into__trancl,axiom,
% 199.17/199.18 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_trancl__subset__Field2,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_Relation_OField(T_b),V_r_2))))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_trancl__Int__subset,axiom,
% 199.17/199.18 ! [V_s_2,V_r_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_r__into__trancl_H,axiom,
% 199.17/199.18 ! [V_r_2,V_p_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_trancl__empty,axiom,
% 199.17/199.18 ! [T_b] : c_Transitive__Closure_Otrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_trancl__domain,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_trancl__range,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ORange(T_b,T_b),V_r_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_finite__trancl,axiom,
% 199.17/199.18 ! [V_r_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 199.17/199.18 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_r__r__into__trancl,axiom,
% 199.17/199.18 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_R_2))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_R_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_trancl__into__trancl2,axiom,
% 199.17/199.18 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 199.17/199.18 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_trancl__trans,axiom,
% 199.17/199.18 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_trancl__mono,axiom,
% 199.17/199.18 ! [V_s_2,V_r_2,V_p_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_trancl__unfold,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_r_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_trancl__subset__Sigma,axiom,
% 199.17/199.18 ! [V_A_2,V_r_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_trancl__insert,axiom,
% 199.17/199.18 ! [V_r_2,V_x_2,V_y_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBC(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),V_y_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_reflcl__set__eq,axiom,
% 199.17/199.18 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),c_fequal),V_x_2),V_y_2))
% 199.17/199.18 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_acyclicI,axiom,
% 199.17/199.18 ! [V_r_2,T_b] :
% 199.17/199.18 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 199.17/199.18 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_r__into__rtrancl,axiom,
% 199.17/199.18 ! [V_r_2,V_p_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 199.17/199.18 ! [V_r_2,V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_IdI,axiom,
% 199.17/199.18 ! [V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),c_Relation_OId(T_b))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_trancl__into__rtrancl,axiom,
% 199.17/199.18 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_trancl__rtrancl__absorb,axiom,
% 199.17/199.18 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Otrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__trancl__absorb,axiom,
% 199.17/199.18 ! [V_R_2,T_b] : c_Transitive__Closure_Otrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_reflcl__trancl,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_trancl__reflcl,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_trancl__unfold__right,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_trancl__unfold__left,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__Int__subset,axiom,
% 199.17/199.18 ! [V_r_2,V_s_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),V_s_2))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_r__comp__rtrancl__eq,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__idemp__self__comp,axiom,
% 199.17/199.18 ! [V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__unfold,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_in__rtrancl__UnI,axiom,
% 199.17/199.18 ! [V_S_2,V_R_2,V_x_2,T_b] :
% 199.17/199.18 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 199.17/199.18 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) )
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__reflcl,axiom,
% 199.17/199.18 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__Un__rtrancl,axiom,
% 199.17/199.18 ! [V_S_2,V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) = c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__reflcl__absorb,axiom,
% 199.17/199.18 ! [V_R_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__Un__subset,axiom,
% 199.17/199.18 ! [V_S_2,V_R_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__subset__rtrancl,axiom,
% 199.17/199.18 ! [V_s_2,V_r_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_s_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__subset,axiom,
% 199.17/199.18 ! [V_S_2,V_R_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 199.17/199.18 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__mono,axiom,
% 199.17/199.18 ! [V_s_2,V_r_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Image__closed__trancl,axiom,
% 199.17/199.18 ! [V_X_2,V_r_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),V_X_2)),V_X_2))
% 199.17/199.18 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__idemp,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 199.17/199.18 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 199.17/199.18 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__trans,axiom,
% 199.17/199.18 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__r__diff__Id,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Range__rtrancl,axiom,
% 199.17/199.18 ! [V_R_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_refl__rtrancl,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Domain__rtrancl,axiom,
% 199.17/199.18 ! [V_R_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__empty,axiom,
% 199.17/199.18 ! [T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Relation_OId(T_b) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Image__Id,axiom,
% 199.17/199.18 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Id__O__R,axiom,
% 199.17/199.18 ! [V_R_2,T_c,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_c),c_Relation_OId(T_b)),V_R_2) = V_R_2 ).
% 199.17/199.18
% 199.17/199.18 fof(fact_R__O__Id,axiom,
% 199.17/199.18 ! [V_R_2,T_c,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_c),V_R_2),c_Relation_OId(T_c)) = V_R_2 ).
% 199.17/199.18
% 199.17/199.18 fof(fact_pair__in__Id__conv,axiom,
% 199.17/199.18 ! [V_b_2,V_a_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Relation_OId(T_b)))
% 199.17/199.18 <=> V_a_2 = V_b_2 ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__eq__or__trancl,axiom,
% 199.17/199.18 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 199.17/199.18 <=> ( V_x_2 = V_y_2
% 199.17/199.18 | ( V_x_2 != V_y_2
% 199.17/199.18 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__into__trancl2,axiom,
% 199.17/199.18 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtranclD,axiom,
% 199.17/199.18 ! [V_R_2,V_b_2,V_a_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 199.17/199.18 => ( V_a_2 = V_b_2
% 199.17/199.18 | ( V_a_2 != V_b_2
% 199.17/199.18 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__into__trancl1,axiom,
% 199.17/199.18 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_trancl__rtrancl__trancl,axiom,
% 199.17/199.18 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__trancl__trancl,axiom,
% 199.17/199.18 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Domain__Id,axiom,
% 199.17/199.18 ! [T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Relation_OId(T_b)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Range__Id,axiom,
% 199.17/199.18 ! [T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Relation_OId(T_b)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_refl__Id,axiom,
% 199.17/199.18 ! [T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Relation_OId(T_b)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_pair__leq__def,axiom,
% 199.17/199.18 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))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Not__Domain__rtrancl,axiom,
% 199.17/199.18 ! [V_y_2,V_R_2,V_x_2,T_b] :
% 199.17/199.18 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2)))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 199.17/199.18 <=> V_x_2 = V_y_2 ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_acc__downwards,axiom,
% 199.17/199.18 ! [V_b_2,V_r_2,V_a_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_acc__downwards__aux,axiom,
% 199.17/199.18 ! [V_r_2,V_a_2,V_b_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_wf__insert,axiom,
% 199.17/199.18 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 199.17/199.18 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2))
% 199.17/199.18 <=> ( c_Wellfounded_Owf(T_b,V_r_2)
% 199.17/199.18 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_acyclic__insert,axiom,
% 199.17/199.18 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 199.17/199.18 ( c_Wellfounded_Oacyclic(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2))
% 199.17/199.18 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 199.17/199.18 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_refl__reflcl,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Id__def,axiom,
% 199.17/199.18 ! [T_b] : c_Relation_OId(T_b) = hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_b),tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_HOL_Obool)),tc_prod(T_b,T_b)),c_COMBB(tc_prod(T_b,T_b),tc_HOL_Obool,T_b)),c_fequal)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_irrefl__diff__Id,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : c_Relation_Oirrefl(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_pred__nat__trancl__eq__le,axiom,
% 199.17/199.18 ! [V_na_2,V_m_2] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),V_na_2)),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)))
% 199.17/199.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_trancl__subset__Sigma__aux,axiom,
% 199.17/199.18 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 199.17/199.18 => ( V_a_2 = V_b_2
% 199.17/199.18 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_irrefl__tranclI,axiom,
% 199.17/199.18 ! [V_x_2,V_r_2,T_b] :
% 199.17/199.18 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 199.17/199.18 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_sequence__trans,axiom,
% 199.17/199.18 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] :
% 199.17/199.18 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2))),hAPP(V_f_2,V_i_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_total__on__diff__Id,axiom,
% 199.17/199.18 ! [V_r_2,V_A_2,T_b] :
% 199.17/199.18 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))
% 199.17/199.18 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__converse,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_converse__Id,axiom,
% 199.17/199.18 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_converse__INTER,axiom,
% 199.17/199.18 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_converseD,axiom,
% 199.17/199.18 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),V_r_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_converseI,axiom,
% 199.17/199.18 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_converse__iff,axiom,
% 199.17/199.18 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 199.17/199.18 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),V_r_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_acyclic__converse,axiom,
% 199.17/199.18 ! [V_r_2,T_b] :
% 199.17/199.18 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 199.17/199.18 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_converse__UNION,axiom,
% 199.17/199.18 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_converse__rel__comp,axiom,
% 199.17/199.18 ! [V_s_2,V_r_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_d,T_b),V_r_2),V_s_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(c_Relation_Oconverse(T_d,T_b),V_s_2)),hAPP(c_Relation_Oconverse(T_c,T_d),V_r_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_converse__Un,axiom,
% 199.17/199.18 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_converse__Id__on,axiom,
% 199.17/199.18 ! [V_A_2,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = c_Relation_OId__on(T_b,V_A_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_converse__inv__image,axiom,
% 199.17/199.18 ! [V_f_2,V_R_2,T_c,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_R_2),V_f_2)) = hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),hAPP(c_Relation_Oconverse(T_c,T_c),V_R_2)),V_f_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_total__on__converse,axiom,
% 199.17/199.18 ! [V_r_2,V_A_2,T_b] :
% 199.17/199.18 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 199.17/199.18 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_converse__converse,axiom,
% 199.17/199.18 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = V_r_2 ).
% 199.17/199.18
% 199.17/199.18 fof(fact_converse__Int,axiom,
% 199.17/199.18 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_finite__converse,axiom,
% 199.17/199.18 ! [V_r_2,T_c,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 199.17/199.18 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Field__converse,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_OField(T_b),V_r_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_refl__on__converse,axiom,
% 199.17/199.18 ! [V_r_2,V_A_2,T_b] :
% 199.17/199.18 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 199.17/199.18 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_trancl__converse,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_wf__converse__trancl,axiom,
% 199.17/199.18 ! [V_r_2,T_b] :
% 199.17/199.18 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 199.17/199.18 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_equiv__comp__eq,axiom,
% 199.17/199.18 ! [V_r_2,V_A_2,T_b] :
% 199.17/199.18 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 199.17/199.18 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2 ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Range__converse,axiom,
% 199.17/199.18 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Domain__converse,axiom,
% 199.17/199.18 ! [V_r_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) = hAPP(c_Relation_ORange(T_c,T_b),V_r_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Range__def,axiom,
% 199.17/199.18 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_total__on__empty,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : c_Relation_Ototal__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_r_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__converseD,axiom,
% 199.17/199.18 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__converseI,axiom,
% 199.17/199.18 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_trancl__converseD,axiom,
% 199.17/199.18 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_trancl__converseI,axiom,
% 199.17/199.18 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Image__subset__eq,axiom,
% 199.17/199.18 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)),V_B_2))
% 199.17/199.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_refl__on__comp__subset,axiom,
% 199.17/199.18 ! [V_r_2,V_A_2,T_b] :
% 199.17/199.18 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_comp__equivI,axiom,
% 199.17/199.18 ! [V_A_2,V_r_2,T_b] :
% 199.17/199.18 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2
% 199.17/199.18 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2
% 199.17/199.18 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_finite__acyclic__wf__converse,axiom,
% 199.17/199.18 ! [V_r_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 199.17/199.18 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 199.17/199.18 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_total__on__def,axiom,
% 199.17/199.18 ! [V_r_2,V_A_2,T_b] :
% 199.17/199.18 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2)
% 199.17/199.18 <=> ! [B_x] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.18 => ! [B_xa] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 199.17/199.18 => ( B_x != B_xa
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_r_2))
% 199.17/199.18 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_xa),B_x)),V_r_2)) ) ) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_converse__def,axiom,
% 199.17/199.18 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_b)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_c,T_b)))),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))))),V_r_2))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Image__INT__eq,axiom,
% 199.17/199.18 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] :
% 199.17/199.18 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))
% 199.17/199.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))
% 199.17/199.18 => hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 199.17/199.18 ! [V_R_2,V_p_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_single__valued__Id,axiom,
% 199.17/199.18 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rel__pow__commute,axiom,
% 199.17/199.18 ! [V_na_2,V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)),V_R_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rel__pow__1,axiom,
% 199.17/199.18 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_R_2) = V_R_2 ).
% 199.17/199.18
% 199.17/199.18 fof(fact_single__valued__rel__pow,axiom,
% 199.17/199.18 ! [V_na_2,V_R_2,T_b] :
% 199.17/199.18 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2)
% 199.17/199.18 => c_Relation_Osingle__valued(T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_funpow__swap1,axiom,
% 199.17/199.18 ! [V_x_2,V_na_2,T_b,V_f_2] : hAPP(V_f_2,hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_2),V_f_2),V_x_2)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_2),V_f_2),hAPP(V_f_2,V_x_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_funpow__mult,axiom,
% 199.17/199.18 ! [V_f_2,V_m_2,V_na_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)) = hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2)),V_f_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_single__valued__subset,axiom,
% 199.17/199.18 ! [V_s_2,V_r_2,T_c,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 199.17/199.18 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2)
% 199.17/199.18 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_wf__exp,axiom,
% 199.17/199.18 ! [V_R_2,V_na_2,T_b] :
% 199.17/199.18 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))
% 199.17/199.18 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_single__valued__rel__comp,axiom,
% 199.17/199.18 ! [V_s_2,T_d,V_r_2,T_c,T_b] :
% 199.17/199.18 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 199.17/199.18 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2)
% 199.17/199.18 => c_Relation_Osingle__valued(T_b,T_d,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_comp__funpow,axiom,
% 199.17/199.18 ! [V_f_2,V_na_2,T_c,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),V_na_2),c_Fun_Ocomp(T_c,T_c,T_b,V_f_2)) = c_Fun_Ocomp(T_c,T_c,T_b,hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),V_na_2),V_f_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__power,axiom,
% 199.17/199.18 ! [V_R_2,V_p_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 199.17/199.18 <=> ? [B_n] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rel__pow__imp__rtrancl,axiom,
% 199.17/199.18 ! [V_R_2,V_na_2,V_p_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_single__valued__Id__on,axiom,
% 199.17/199.18 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_relpow_Osimps_I2_J,axiom,
% 199.17/199.18 ! [V_R_2,V_na_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)),V_R_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rel__pow__add,axiom,
% 199.17/199.18 ! [V_R_2,V_na_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_m_2),V_R_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_relpow_Osimps_I1_J,axiom,
% 199.17/199.18 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2) = c_Relation_OId(T_b) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rel__pow__0__E,axiom,
% 199.17/199.18 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2)))
% 199.17/199.18 => V_x_2 = V_y_2 ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rel__pow__0__I,axiom,
% 199.17/199.18 ! [V_R_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rel__pow__Suc__I,axiom,
% 199.17/199.18 ! [V_z_2,V_R_2,V_na_2,V_y_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_R_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_2)),V_R_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rel__pow__Suc__I2,axiom,
% 199.17/199.18 ! [V_na_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_2)),V_R_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_funpow_Osimps_I2_J,axiom,
% 199.17/199.18 ! [V_f_2,V_na_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(c_Nat_OSuc,V_na_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,V_f_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_2),V_f_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_funpow__add,axiom,
% 199.17/199.18 ! [V_f_2,V_na_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_2),V_f_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_single__valued__def,axiom,
% 199.17/199.18 ! [V_r_2,T_c,T_b] :
% 199.17/199.18 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 199.17/199.18 <=> ! [B_x,B_y] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y)),V_r_2))
% 199.17/199.18 => ! [B_z] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)),V_r_2))
% 199.17/199.18 => B_y = B_z ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_single__valuedD,axiom,
% 199.17/199.18 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 199.17/199.18 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_r_2))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_z_2)),V_r_2))
% 199.17/199.18 => V_y_2 = V_z_2 ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_funpow_Osimps_I1_J,axiom,
% 199.17/199.18 ! [V_f_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_f_2) = c_Fun_Oid(T_b) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_trancl__power,axiom,
% 199.17/199.18 ! [V_R_2,V_p_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 199.17/199.18 <=> ? [B_n] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 199.17/199.18 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 199.17/199.18 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_R_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_single__valued__confluent,axiom,
% 199.17/199.18 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 199.17/199.18 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2)
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 199.17/199.18 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_z_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Image__Int__eq,axiom,
% 199.17/199.18 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] :
% 199.17/199.18 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2))
% 199.17/199.18 => hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_funpow__code__def,axiom,
% 199.17/199.18 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rel__pow__E2,axiom,
% 199.17/199.18 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)))
% 199.17/199.18 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.18 => V_x_2 != V_z_2 )
% 199.17/199.18 => ~ ! [B_y,B_m] :
% 199.17/199.18 ( V_na_2 = hAPP(c_Nat_OSuc,B_m)
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 199.17/199.18 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2))) ) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rel__pow__E,axiom,
% 199.17/199.18 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)))
% 199.17/199.18 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.18 => V_x_2 != V_z_2 )
% 199.17/199.18 => ~ ! [B_y,B_m] :
% 199.17/199.18 ( V_na_2 = hAPP(c_Nat_OSuc,B_m)
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2)))
% 199.17/199.18 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__Un__separatorE,axiom,
% 199.17/199.18 ! [V_Q_2,V_Pa_2,V_b_2,V_a_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2),V_Q_2))))
% 199.17/199.18 => ( ! [B_x] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2)))
% 199.17/199.18 => ! [B_y] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_Q_2))
% 199.17/199.18 => B_x = B_y ) )
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 199.17/199.18 ! [V_Q_2,V_Pa_2,V_b_2,V_a_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2),V_Q_2))))
% 199.17/199.18 => ( ! [B_x] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2)))
% 199.17/199.18 => ! [B_y] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_Q_2))
% 199.17/199.18 => B_y = B_x ) )
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rel__pow__Suc__E,axiom,
% 199.17/199.18 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_2)),V_R_2)))
% 199.17/199.18 => ~ ! [B_y] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)))
% 199.17/199.18 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rel__pow__Suc__D2,axiom,
% 199.17/199.18 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_2)),V_R_2)))
% 199.17/199.18 => ? [B_y] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 199.17/199.18 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rel__pow__Suc__E2,axiom,
% 199.17/199.18 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_2)),V_R_2)))
% 199.17/199.18 => ~ ! [B_y] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 199.17/199.18 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_tranclD2,axiom,
% 199.17/199.18 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 199.17/199.18 => ? [B_z] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 199.17/199.18 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),V_R_2)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_tranclD,axiom,
% 199.17/199.18 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 199.17/199.18 => ? [B_z] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),V_R_2))
% 199.17/199.18 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_IdE,axiom,
% 199.17/199.18 ! [V_p_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b)))
% 199.17/199.18 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Int__Collect__mono,axiom,
% 199.17/199.18 ! [V_Q_2,V_Pa_2,V_B_2,V_A_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 199.17/199.18 => ( ! [B_x] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.18 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 199.17/199.18 => hBOOL(hAPP(V_Q_2,B_x)) ) )
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_OCollect(T_b),V_Q_2)))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rel__compE,axiom,
% 199.17/199.18 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_xz_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_r_2),V_s_2)))
% 199.17/199.18 => ~ ! [B_x,B_y,B_z] :
% 199.17/199.18 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),B_x),B_y)),V_r_2))
% 199.17/199.18 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),B_y),B_z)),V_s_2)) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_converseE,axiom,
% 199.17/199.18 ! [V_r_2,V_yx_2,T_c,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_yx_2),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 199.17/199.18 => ~ ! [B_x,B_y] :
% 199.17/199.18 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x)
% 199.17/199.18 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),B_y)),V_r_2)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 199.17/199.18 ! [V_r_2,V_q_2,T_b] : c_Nitpick_Oplus__frac(T_b,V_q_2,V_r_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(T_b),V_q_2),hAPP(c_Nitpick_Odenom(T_b),V_r_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,T_b),tc_Int_Oint),c_Nitpick_Ofrac(T_b)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_q_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_q_2))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_r_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_r_2)))))),c_COMBI(tc_Int_Oint))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_internal__split__def,axiom,
% 199.17/199.18 ! [T_d,T_c,T_b] : c_Product__Type_Ointernal__split(T_b,T_c,T_d) = c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_internal__split__conv,axiom,
% 199.17/199.18 ! [V_b_2,V_a_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ointernal__split(T_c,T_d,T_b),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_c_2,V_a_2),V_b_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 199.17/199.18 ! [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))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Nitpick_Oof__frac__def,axiom,
% 199.17/199.18 ! [V_q,T_a,T_b] :
% 199.17/199.18 ( ( class_Rings_Oinverse(T_b)
% 199.17/199.18 & class_Rings_Oring__1(T_b) )
% 199.17/199.18 => 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))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 199.17/199.18 ! [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)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 199.17/199.18 ! [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))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Nitpick_Oless__frac__def,axiom,
% 199.17/199.18 ! [V_r_2,V_q_2,T_b] :
% 199.17/199.18 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2)
% 199.17/199.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 199.17/199.18 ! [V_r_2,V_q_2,T_b] :
% 199.17/199.18 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2)
% 199.17/199.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Nitpick_Onum__def,axiom,
% 199.17/199.18 ! [T_b] : c_Nitpick_Onum(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Nitpick_Odenom__def,axiom,
% 199.17/199.18 ! [T_b] : c_Nitpick_Odenom(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_bool_Osize_I2_J,axiom,
% 199.17/199.18 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_bool_Osize_I1_J,axiom,
% 199.17/199.18 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_finite__less__ub,axiom,
% 199.17/199.18 ! [V_u_2,V_f_2] :
% 199.17/199.18 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n)))
% 199.17/199.18 => 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)))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_lenlex__def,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_List_Olist(T_b),c_Wellfounded_Oless__than,c_List_Olex(T_b,V_r_2))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_Nat_Onat,tc_List_Olist(T_b))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_COMBI(tc_List_Olist(T_b)))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_neq__if__length__neq,axiom,
% 199.17/199.18 ! [V_ys,V_xs,T_a] :
% 199.17/199.18 ( 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)
% 199.17/199.18 => V_xs != V_ys ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_lexn__length,axiom,
% 199.17/199.18 ! [V_na_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),hAPP(c_List_Olexn(T_b,V_r_2),V_na_2)))
% 199.17/199.18 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_na_2
% 199.17/199.18 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_na_2 ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_lenlex__conv,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fdisj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_List_Olex(T_b,V_r_2)))))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_length__sublist,axiom,
% 199.17/199.18 ! [V_I_2,V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2)))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_lexn_Osimps_I2_J,axiom,
% 199.17/199.18 ! [V_na_2,V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_prod(tc_prod(T_b,tc_List_Olist(T_b)),tc_prod(T_b,tc_List_Olist(T_b))),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_Product__Type_Omap__pair(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),c_Wellfounded_Olex__prod(T_b,tc_List_Olist(T_b),V_r_2,hAPP(c_List_Olexn(T_b,V_r_2),V_na_2)))),hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_na_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_na_2)))))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_impossible__Cons,axiom,
% 199.17/199.18 ! [V_x,V_ys,V_xs,T_a] :
% 199.17/199.18 ( 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)))
% 199.17/199.18 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list_Oinject,axiom,
% 199.17/199.18 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] :
% 199.17/199.18 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_H_2),V_list_H_2)
% 199.17/199.18 <=> ( V_a_2 = V_a_H_2
% 199.17/199.18 & V_list_2 = V_list_H_2 ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_not__Cons__self2,axiom,
% 199.17/199.18 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 199.17/199.18
% 199.17/199.18 fof(fact_not__Cons__self,axiom,
% 199.17/199.18 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list_Osize_I4_J,axiom,
% 199.17/199.18 ! [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))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Cons__in__lex,axiom,
% 199.17/199.18 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olex(T_b,V_r_2)))
% 199.17/199.18 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 199.17/199.18 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) )
% 199.17/199.18 | ( V_x_2 = V_y_2
% 199.17/199.18 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olex(T_b,V_r_2))) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_set__Cons__def,axiom,
% 199.17/199.18 ! [V_XS_2,V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,V_XS_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_List_Olist(T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBS(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_HOL_Obool,tc_List_Olist(T_b))),c_fequal))),c_List_Olist_OCons(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),V_XS_2)))))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_pick_Osimps,axiom,
% 199.17/199.18 ! [V_xs,V_x,T_a,V_i] :
% 199.17/199.18 ( ( 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)))
% 199.17/199.18 => 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) )
% 199.17/199.18 & ( ~ 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)))
% 199.17/199.18 => 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))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_select__weight__cons__zero,axiom,
% 199.17/199.18 ! [V_xs_2,V_x_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_x_2)),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_lexord__cons__cons,axiom,
% 199.17/199.18 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_y_2))),c_List_Olexord(T_b,V_r_2)))
% 199.17/199.18 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 199.17/199.18 | ( V_a_2 = V_b_2
% 199.17/199.18 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_lexord__lex,axiom,
% 199.17/199.18 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olex(T_b,V_r_2)))
% 199.17/199.18 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 199.17/199.18 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 199.17/199.18 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list_Osize_I2_J,axiom,
% 199.17/199.18 ! [V_list_2,V_a_2,V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),c_List_Olist_Olist__size(T_b,V_fa_2,V_list_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Cons__acc__listrel1I,axiom,
% 199.17/199.18 ! [V_xs_2,V_r_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel1__converse,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel1__mono,axiom,
% 199.17/199.18 ! [V_s_2,V_r_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel1(T_b,V_s_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel1I2,axiom,
% 199.17/199.18 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 199.17/199.18 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel1__eq__len,axiom,
% 199.17/199.18 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 199.17/199.18 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 199.17/199.18 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 199.17/199.18 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_in__listrel1__converse,axiom,
% 199.17/199.18 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 199.17/199.18 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel1I1,axiom,
% 199.17/199.18 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_xs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Cons__listrel1__Cons,axiom,
% 199.17/199.18 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2)))
% 199.17/199.18 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 199.17/199.18 & V_xs_2 = V_ys_2 )
% 199.17/199.18 | ( V_x_2 = V_y_2
% 199.17/199.18 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel__Cons,axiom,
% 199.17/199.18 ! [V_xs_2,V_x_2,V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = c_List_Oset__Cons(T_b,hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),V_xs_2),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_lexord__irreflexive,axiom,
% 199.17/199.18 ! [V_y_2,V_r_2,T_b] :
% 199.17/199.18 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2))
% 199.17/199.18 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel__rtrancl__refl,axiom,
% 199.17/199.18 ! [V_r_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_xs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel__mono,axiom,
% 199.17/199.18 ! [V_s_2,V_r_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_List_Olistrel(T_b,V_s_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel__eq__len,axiom,
% 199.17/199.18 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 199.17/199.18 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel__rtrancl__trans,axiom,
% 199.17/199.18 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 199.17/199.18 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel1__subset__listrel,axiom,
% 199.17/199.18 ! [V_r_H_2,V_r_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2))
% 199.17/199.18 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2)
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel(T_b,V_r_H_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 199.17/199.18 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel_OCons,axiom,
% 199.17/199.18 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrelp__listrel__eq,axiom,
% 199.17/199.18 ! [V_xa_2,V_x_2,V_r_2,T_b] :
% 199.17/199.18 ( c_List_Olistrelp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2),V_x_2,V_xa_2)
% 199.17/199.18 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_xa_2)),c_List_Olistrel(T_b,V_r_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel__Cons2,axiom,
% 199.17/199.18 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2)))
% 199.17/199.18 => ~ ! [B_x,B_xs] :
% 199.17/199.18 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_y_2)),V_r_2))
% 199.17/199.18 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),B_xs),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrelp_Oequations_I2_J,axiom,
% 199.17/199.18 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] :
% 199.17/199.18 ( c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a3_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a4_2))
% 199.17/199.18 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 199.17/199.18 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrelp_OCons,axiom,
% 199.17/199.18 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 199.17/199.18 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2)
% 199.17/199.18 => c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel__Cons1,axiom,
% 199.17/199.18 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)),V_xs_2)),c_List_Olistrel(T_b,V_r_2)))
% 199.17/199.18 => ~ ! [B_y,B_ys] :
% 199.17/199.18 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys)
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),B_y)),V_r_2))
% 199.17/199.18 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),B_ys)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel__subset,axiom,
% 199.17/199.18 ! [V_A_2,V_r_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2))))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_lists__UNIV,axiom,
% 199.17/199.18 ! [T_b] : c_List_Olists(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_lists__mono,axiom,
% 199.17/199.18 ! [V_B_2,V_A_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olists(T_b,V_A_2)),c_List_Olists(T_b,V_B_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_equiv__listrel,axiom,
% 199.17/199.18 ! [V_r_2,V_A_2,T_b] :
% 199.17/199.18 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 199.17/199.18 => c_Equiv__Relations_Oequiv(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel__refl__on,axiom,
% 199.17/199.18 ! [V_r_2,V_A_2,T_b] :
% 199.17/199.18 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 199.17/199.18 => c_Relation_Orefl__on(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Cons__in__lists__iff,axiom,
% 199.17/199.18 ! [V_A_2,V_xs_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_List_Olists(T_b,V_A_2)))
% 199.17/199.18 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 199.17/199.18 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_lists__accD,axiom,
% 199.17/199.18 ! [V_r_2,V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2))))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_lists__accI,axiom,
% 199.17/199.18 ! [V_r_2,V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2)))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel__iff__nth,axiom,
% 199.17/199.18 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 199.17/199.18 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 199.17/199.18 & ! [B_n] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_n))),V_r_2)) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_lexord__linear,axiom,
% 199.17/199.18 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 199.17/199.18 ( ! [B_a,B_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_b)),V_r_2))
% 199.17/199.18 | B_a = B_b
% 199.17/199.18 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_b),B_a)),V_r_2)) )
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 199.17/199.18 | V_x_2 = V_y_2
% 199.17/199.18 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_x_2)),c_List_Olexord(T_b,V_r_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_infinite__UNIV__listI,axiom,
% 199.17/199.18 ! [T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list__eq__iff__nth__eq,axiom,
% 199.17/199.18 ! [T_b,V_ys_2,V_xs_2] :
% 199.17/199.18 ( V_xs_2 = V_ys_2
% 199.17/199.18 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 199.17/199.18 & ! [B_i] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.18 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_nth__Cons__Suc,axiom,
% 199.17/199.18 ! [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) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_nth__Cons__0,axiom,
% 199.17/199.18 ! [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 ).
% 199.17/199.18
% 199.17/199.18 fof(fact_nth_Osimps,axiom,
% 199.17/199.18 ! [V_na_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_na_2) = c_Nat_Onat_Onat__case(T_b,V_x_2,hAPP(c_List_Onth(T_b),V_xs_2),V_na_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_nth__Cons_H,axiom,
% 199.17/199.18 ! [V_xs,V_x,T_a,V_n] :
% 199.17/199.18 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.18 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 199.17/199.18 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.18 => 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))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_nth__Cons__number__of,axiom,
% 199.17/199.18 ! [V_xs,V_x,T_a,V_v] :
% 199.17/199.18 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.18 => 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 )
% 199.17/199.18 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.18 => 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))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_lexord__take__index__conv,axiom,
% 199.17/199.18 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 199.17/199.18 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2)))
% 199.17/199.18 & hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),V_y_2) = V_x_2 )
% 199.17/199.18 | ? [B_i] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2))))
% 199.17/199.18 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2)
% 199.17/199.18 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_x_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_y_2),B_i))),V_r_2)) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_set__sublist,axiom,
% 199.17/199.18 ! [V_I_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2))))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_finite__set,axiom,
% 199.17/199.18 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_set__subset__Cons,axiom,
% 199.17/199.18 ! [V_x_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_take__all,axiom,
% 199.17/199.18 ! [V_n,V_xs,T_a] :
% 199.17/199.18 ( 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))
% 199.17/199.18 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_set__take__subset,axiom,
% 199.17/199.18 ! [V_xs_2,V_na_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_set__take__subset__set__take,axiom,
% 199.17/199.18 ! [V_xs_2,T_b,V_na_2,V_m_2] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2)))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_set__sublist__subset,axiom,
% 199.17/199.18 ! [V_I_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_nth__take,axiom,
% 199.17/199.18 ! [V_xs,T_a,V_n,V_i] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 199.17/199.18 => 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) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_take__Suc__Cons,axiom,
% 199.17/199.18 ! [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)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_set__ConsD,axiom,
% 199.17/199.18 ! [V_xs_2,V_x_2,V_y_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))))
% 199.17/199.18 => ( V_y_2 = V_x_2
% 199.17/199.18 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_in__set__sublistD,axiom,
% 199.17/199.18 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_in__set__takeD,axiom,
% 199.17/199.18 ! [V_xs_2,V_na_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2))))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_notin__set__sublistI,axiom,
% 199.17/199.18 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 199.17/199.18 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.18 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_length__take,axiom,
% 199.17/199.18 ! [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) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_take__take,axiom,
% 199.17/199.18 ! [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) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 199.17/199.18 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_sublist__upt__eq__take,axiom,
% 199.17/199.18 ! [V_na_2,V_l_2,T_b] : c_List_Osublist(T_b,V_l_2,hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2)) = hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_l_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_card__length,axiom,
% 199.17/199.18 ! [V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_all__set__conv__all__nth,axiom,
% 199.17/199.18 ! [V_Pa_2,V_xs_2,T_b] :
% 199.17/199.18 ( ! [B_x] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.18 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 199.17/199.18 <=> ! [B_i] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.18 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list__size__estimation,axiom,
% 199.17/199.18 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list__size__estimation_H,axiom,
% 199.17/199.18 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_in__lists__conv__set,axiom,
% 199.17/199.18 ! [V_A_2,V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 199.17/199.18 <=> ! [B_x] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_length__pos__if__in__set,axiom,
% 199.17/199.18 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_in__set__conv__nth,axiom,
% 199.17/199.18 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.18 <=> ? [B_i] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.18 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_nth__mem,axiom,
% 199.17/199.18 ! [V_xs_2,T_b,V_na_2] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_lists__eq__set,axiom,
% 199.17/199.18 ! [V_A_2,T_b] : c_List_Olists(T_b,V_A_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_set__conv__nth,axiom,
% 199.17/199.18 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_finite__lists__length__eq,axiom,
% 199.17/199.18 ! [V_na_2,V_A_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.18 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_na_2))))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_finite__lists__length__le,axiom,
% 199.17/199.18 ! [V_na_2,V_A_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.18 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_na_2))))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel__iff__zip,axiom,
% 199.17/199.18 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 199.17/199.18 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 199.17/199.18 & ! [B_x] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2))))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),B_x)) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_set__zip,axiom,
% 199.17/199.18 ! [V_ys_2,V_xs_2,T_c,T_b] : hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_c)),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_prod(T_b,T_c)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),tc_Nat_Onat),c_Product__Type_OPair(T_b,T_c)),hAPP(c_List_Onth(T_b),V_xs_2))),hAPP(c_List_Onth(T_c),V_ys_2)))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_take__zip,axiom,
% 199.17/199.18 ! [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)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_length__zip,axiom,
% 199.17/199.18 ! [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)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_zip__Cons__Cons,axiom,
% 199.17/199.18 ! [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)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list__eq__iff__zip__eq,axiom,
% 199.17/199.18 ! [T_b,V_ys_2,V_xs_2] :
% 199.17/199.18 ( V_xs_2 = V_ys_2
% 199.17/199.18 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 199.17/199.18 & ! [B_x] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2))))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_zip__same,axiom,
% 199.17/199.18 ! [V_xs_2,V_b_2,V_a_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2))))
% 199.17/199.18 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.18 & V_a_2 = V_b_2 ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_set__zip__leftD,axiom,
% 199.17/199.18 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_set__zip__rightD,axiom,
% 199.17/199.18 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_in__set__zipE,axiom,
% 199.17/199.18 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 199.17/199.18 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.18 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_nth__zip,axiom,
% 199.17/199.18 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 199.17/199.18 ( 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)))
% 199.17/199.18 => ( 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)))
% 199.17/199.18 => 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)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_greaterThanLessThan__upto,axiom,
% 199.17/199.18 ! [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)))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listsum__setsum__nth,axiom,
% 199.17/199.18 ! [V_xs_2,T_b] :
% 199.17/199.18 ( class_Groups_Ocomm__monoid__add(T_b)
% 199.17/199.18 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 199.17/199.18 ! [V_ns_2] :
% 199.17/199.18 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.18 <=> ! [B_x] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 199.17/199.18 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_atLeastAtMost__upto,axiom,
% 199.17/199.18 ! [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)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_set__upto,axiom,
% 199.17/199.18 ! [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) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listsum__simps_I2_J,axiom,
% 199.17/199.18 ! [V_xs,V_x,T_a] :
% 199.17/199.18 ( class_Groups_Omonoid__add(T_a)
% 199.17/199.18 => 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)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_elem__le__listsum__nat,axiom,
% 199.17/199.18 ! [V_ns,V_k] :
% 199.17/199.18 ( 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)))
% 199.17/199.18 => 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))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_atLeastLessThan__upto,axiom,
% 199.17/199.18 ! [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)))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_greaterThanAtMost__upto,axiom,
% 199.17/199.18 ! [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)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_nat__list__def,axiom,
% 199.17/199.18 ! [V_l_2] :
% 199.17/199.18 ( c_List_Onat__list(V_l_2)
% 199.17/199.18 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list__size__pointwise,axiom,
% 199.17/199.18 ! [V_g_2,V_f_2,V_xs_2,T_b] :
% 199.17/199.18 ( ! [B_x] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2)),c_List_Olist_Olist__size(T_b,V_g_2,V_xs_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listsum__update__nat,axiom,
% 199.17/199.18 ! [V_n,V_ns,V_k] :
% 199.17/199.18 ( 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)))
% 199.17/199.18 => 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)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_butlast__take,axiom,
% 199.17/199.18 ! [V_xs,T_a,V_n] :
% 199.17/199.18 ( 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)))
% 199.17/199.18 => 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) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list__update__beyond,axiom,
% 199.17/199.18 ! [V_x,V_i,V_xs,T_a] :
% 199.17/199.18 ( 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))
% 199.17/199.18 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list__update__id,axiom,
% 199.17/199.18 ! [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 ).
% 199.17/199.18
% 199.17/199.18 fof(fact_nth__list__update__neq,axiom,
% 199.17/199.18 ! [V_x,V_xs,T_a,V_j,V_i] :
% 199.17/199.18 ( V_i != V_j
% 199.17/199.18 => 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) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_butlast__list__update,axiom,
% 199.17/199.18 ! [V_x,V_xs,T_a,V_k] :
% 199.17/199.18 ( ( 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))
% 199.17/199.18 => 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) )
% 199.17/199.18 & ( 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))
% 199.17/199.18 => 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) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_length__list__update,axiom,
% 199.17/199.18 ! [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) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_zip__update,axiom,
% 199.17/199.18 ! [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)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_update__zip,axiom,
% 199.17/199.18 ! [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))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list__update__swap,axiom,
% 199.17/199.18 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 199.17/199.18 ( V_i != V_i_H
% 199.17/199.18 => 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) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list__update__overwrite,axiom,
% 199.17/199.18 ! [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) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list__update_Osimps_I2_J,axiom,
% 199.17/199.18 ! [V_v_2,V_i_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_i_2),V_v_2) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_v_2),V_xs_2),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,tc_List_Olist(T_b)),c_List_Olist__update(T_b,V_xs_2)),V_v_2)),V_i_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list__update__code_I3_J,axiom,
% 199.17/199.18 ! [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)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list__update__code_I2_J,axiom,
% 199.17/199.18 ! [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) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_in__set__butlastD,axiom,
% 199.17/199.18 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_set__update__subsetI,axiom,
% 199.17/199.18 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),V_A_2))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),V_A_2)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_set__update__subset__insert,axiom,
% 199.17/199.18 ! [V_x_2,V_i_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_nth__list__update__eq,axiom,
% 199.17/199.18 ! [V_x,V_xs,T_a,V_i] :
% 199.17/199.18 ( 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)))
% 199.17/199.18 => 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 ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list__update__same__conv,axiom,
% 199.17/199.18 ! [V_x_2,V_xs_2,T_b,V_i_2] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.18 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 199.17/199.18 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_nth__list__update,axiom,
% 199.17/199.18 ! [V_x,V_j,V_xs,T_a,V_i] :
% 199.17/199.18 ( 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)))
% 199.17/199.18 => ( ( V_i = V_j
% 199.17/199.18 => 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 )
% 199.17/199.18 & ( V_i != V_j
% 199.17/199.18 => 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) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_take__butlast,axiom,
% 199.17/199.18 ! [V_xs,T_a,V_n] :
% 199.17/199.18 ( 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)))
% 199.17/199.18 => 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) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_length__butlast,axiom,
% 199.17/199.18 ! [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)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_set__update__memI,axiom,
% 199.17/199.18 ! [V_x_2,V_xs_2,T_b,V_na_2] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_na_2),V_x_2)))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_butlast__conv__take,axiom,
% 199.17/199.18 ! [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) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel1__iff__update,axiom,
% 199.17/199.18 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 199.17/199.18 <=> ? [B_y,B_n] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),B_y)),V_r_2))
% 199.17/199.18 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.18 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_distinct__list__update,axiom,
% 199.17/199.18 ! [V_i_2,V_a_2,V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 199.17/199.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 199.17/199.18 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_distinct__upto,axiom,
% 199.17/199.18 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_distinct__take,axiom,
% 199.17/199.18 ! [V_i,V_xs,T_a] :
% 199.17/199.18 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 199.17/199.18 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_distinct__sublistI,axiom,
% 199.17/199.18 ! [V_I_2,V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 199.17/199.18 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_distinct__zipI2,axiom,
% 199.17/199.18 ! [V_xs,T_b,V_ys,T_a] :
% 199.17/199.18 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 199.17/199.18 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_distinct__zipI1,axiom,
% 199.17/199.18 ! [V_ys,T_b,V_xs,T_a] :
% 199.17/199.18 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 199.17/199.18 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_distinct_Osimps_I2_J,axiom,
% 199.17/199.18 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))
% 199.17/199.18 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.18 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_card__distinct,axiom,
% 199.17/199.18 ! [V_xs_2,T_b] :
% 199.17/199.18 ( hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 199.17/199.18 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_distinct__card,axiom,
% 199.17/199.18 ! [V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 199.17/199.18 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_nth__eq__iff__index__eq,axiom,
% 199.17/199.18 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.18 => ( hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2)
% 199.17/199.18 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_distinct__conv__nth,axiom,
% 199.17/199.18 ! [V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 199.17/199.18 <=> ! [B_i] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.18 => ! [B_j] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.18 => ( B_i != B_j
% 199.17/199.18 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 199.17/199.18 ! [V_xs_2,T_b] :
% 199.17/199.18 ( class_Groups_Ocomm__monoid__add(T_b)
% 199.17/199.18 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 199.17/199.18 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_b),c_COMBI(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Nitpick_Ocard_H__def,axiom,
% 199.17/199.18 ! [V_A_2,T_b] :
% 199.17/199.18 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.18 => c_Nitpick_Ocard_H(T_b,V_A_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b)))) )
% 199.17/199.18 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.18 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_nth__take__lemma,axiom,
% 199.17/199.18 ! [V_ys,V_xs,T_a,V_k] :
% 199.17/199.18 ( 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)))
% 199.17/199.18 => ( 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)))
% 199.17/199.18 => ( ! [B_i] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 199.17/199.18 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 199.17/199.18 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_set__remove1__eq,axiom,
% 199.17/199.18 ! [V_x_2,V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 199.17/199.18 => hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_take__Cons__number__of,axiom,
% 199.17/199.18 ! [V_xs,V_x,T_a,V_v] :
% 199.17/199.18 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.18 => 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) )
% 199.17/199.18 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.18 => 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)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_lists_ONil,axiom,
% 199.17/199.18 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olists(T_b,V_A_2))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel__Nil1,axiom,
% 199.17/199.18 ! [V_r_2,V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel(T_b,V_r_2)))
% 199.17/199.18 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel__Nil2,axiom,
% 199.17/199.18 ! [V_r_2,V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2)))
% 199.17/199.18 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_distinct__butlast,axiom,
% 199.17/199.18 ! [T_a,V_xs] :
% 199.17/199.18 ( V_xs != c_List_Olist_ONil(T_a)
% 199.17/199.18 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 199.17/199.18 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_distinct_Osimps_I1_J,axiom,
% 199.17/199.18 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_distinct__remove1,axiom,
% 199.17/199.18 ! [V_x,V_xs,T_a] :
% 199.17/199.18 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 199.17/199.18 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_butlast_Osimps_I1_J,axiom,
% 199.17/199.18 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_butlast_Osimps_I2_J,axiom,
% 199.17/199.18 ! [V_x,T_a,V_xs] :
% 199.17/199.18 ( ( V_xs = c_List_Olist_ONil(T_a)
% 199.17/199.18 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 199.17/199.18 & ( V_xs != c_List_Olist_ONil(T_a)
% 199.17/199.18 => 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)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_remove1_Osimps_I2_J,axiom,
% 199.17/199.18 ! [V_xs,T_a,V_y,V_x] :
% 199.17/199.18 ( ( V_x = V_y
% 199.17/199.18 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 199.17/199.18 & ( V_x != V_y
% 199.17/199.18 => 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)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list_Osimps_I3_J,axiom,
% 199.17/199.18 ! [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) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list_Osimps_I2_J,axiom,
% 199.17/199.18 ! [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) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_upto__empty,axiom,
% 199.17/199.18 ! [V_i,V_j] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 199.17/199.18 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_take__Nil,axiom,
% 199.17/199.18 ! [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) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_take__0,axiom,
% 199.17/199.18 ! [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) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_take__eq__Nil,axiom,
% 199.17/199.18 ! [V_xs_2,V_na_2,T_b] :
% 199.17/199.18 ( hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 199.17/199.18 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.18 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_sublist__nil,axiom,
% 199.17/199.18 ! [V_A_2,T_b] : c_List_Osublist(T_b,c_List_Olist_ONil(T_b),V_A_2) = c_List_Olist_ONil(T_b) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_remove1_Osimps_I1_J,axiom,
% 199.17/199.18 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_remove1__commute,axiom,
% 199.17/199.18 ! [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)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrelp_ONil,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrelp_Oequations_I1_J,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_zip_Osimps_I1_J,axiom,
% 199.17/199.18 ! [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)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_zip__Nil,axiom,
% 199.17/199.18 ! [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)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listsum__simps_I1_J,axiom,
% 199.17/199.18 ! [T_a] :
% 199.17/199.18 ( class_Groups_Omonoid__add(T_a)
% 199.17/199.18 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list_Osize_I3_J,axiom,
% 199.17/199.18 ! [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) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_length__0__conv,axiom,
% 199.17/199.18 ! [V_xs_2,T_b] :
% 199.17/199.18 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.18 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_set__empty,axiom,
% 199.17/199.18 ! [V_xs_2,T_b] :
% 199.17/199.18 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.18 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_set__empty2,axiom,
% 199.17/199.18 ! [V_xs_2,T_b] :
% 199.17/199.18 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2)
% 199.17/199.18 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 199.17/199.18 ! [T_b] : hAPP(c_List_Oset(T_b),c_List_Olist_ONil(T_b)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list__update__nonempty,axiom,
% 199.17/199.18 ! [V_x_2,V_k_2,V_xs_2,T_b] :
% 199.17/199.18 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b)
% 199.17/199.18 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list__update_Osimps_I1_J,axiom,
% 199.17/199.18 ! [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) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list__update__code_I1_J,axiom,
% 199.17/199.18 ! [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) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list_Osize_I1_J,axiom,
% 199.17/199.18 ! [V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,c_List_Olist_ONil(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_in__set__remove1,axiom,
% 199.17/199.18 ! [V_xs_2,T_b,V_b_2,V_a_2] :
% 199.17/199.18 ( V_a_2 != V_b_2
% 199.17/199.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_b_2,V_xs_2))))
% 199.17/199.18 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_notin__set__remove1,axiom,
% 199.17/199.18 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 199.17/199.18 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.18 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_y_2,V_xs_2)))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_remove1__idem,axiom,
% 199.17/199.18 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.18 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.18 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_sublist__empty,axiom,
% 199.17/199.18 ! [V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_set__remove1__subset,axiom,
% 199.17/199.18 ! [V_xs_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_length__greater__0__conv,axiom,
% 199.17/199.18 ! [V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.18 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_take__1__Cons,axiom,
% 199.17/199.18 ! [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)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_not__Nil__listrel1,axiom,
% 199.17/199.18 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel1(T_b,V_r_2))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_not__listrel1__Nil,axiom,
% 199.17/199.18 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel1(T_b,V_r_2))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel_ONil,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_lexord__Nil__right,axiom,
% 199.17/199.18 ! [V_r_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olexord(T_b,V_r_2))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Nil__notin__lex,axiom,
% 199.17/199.18 ! [V_r_2,V_ys_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_ys_2)),c_List_Olex(T_b,V_r_2))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Nil2__notin__lex,axiom,
% 199.17/199.18 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olex(T_b,V_r_2))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_take__Cons,axiom,
% 199.17/199.18 ! [V_xs_2,V_x_2,V_na_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_na_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otake(T_b)),V_xs_2)),V_na_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_upto_Osimps,axiom,
% 199.17/199.18 ! [V_j,V_i] :
% 199.17/199.18 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 199.17/199.18 => 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)) )
% 199.17/199.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 199.17/199.18 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_sublist__singleton,axiom,
% 199.17/199.18 ! [V_x_2,T_b,V_A_2] :
% 199.17/199.18 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 199.17/199.18 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) )
% 199.17/199.18 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 199.17/199.18 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = c_List_Olist_ONil(T_b) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_lists__empty,axiom,
% 199.17/199.18 ! [T_b] : c_List_Olists(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_take__Cons_H,axiom,
% 199.17/199.18 ! [V_xs,V_x,T_a,V_n] :
% 199.17/199.18 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.18 => 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) )
% 199.17/199.18 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.18 => 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)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_upto__rec__number__of,axiom,
% 199.17/199.18 ! [V_n,V_m] :
% 199.17/199.18 ( ( 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)))
% 199.17/199.18 => 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))) )
% 199.17/199.18 & ( ~ 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)))
% 199.17/199.18 => 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) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listrel__Nil,axiom,
% 199.17/199.18 ! [V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_set__Cons__sing__Nil,axiom,
% 199.17/199.18 ! [V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(c_Set_Oimage(T_b,tc_List_Olist(T_b),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))),V_A_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_length__remove1,axiom,
% 199.17/199.18 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.18 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.18 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 199.17/199.18 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.18 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_upto_Opsimps,axiom,
% 199.17/199.18 ! [V_j_2,V_i_2] :
% 199.17/199.18 ( 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)))
% 199.17/199.18 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 199.17/199.18 => 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)) )
% 199.17/199.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 199.17/199.18 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_select,axiom,
% 199.17/199.18 ! [V_s_2,T_b,V_xs_2] :
% 199.17/199.18 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 199.17/199.18 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listset_Osimps_I1_J,axiom,
% 199.17/199.18 ! [T_b] : c_List_Olistset(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_zip__Cons,axiom,
% 199.17/199.18 ! [V_ys_2,V_y_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_b,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),T_b),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_b),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)),V_y_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),c_List_Ozip(T_b,T_c)),V_ys_2))),V_xs_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list_Osimps_I5_J,axiom,
% 199.17/199.18 ! [V_list_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_a_2),V_list_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_list_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list_Osimps_I4_J,axiom,
% 199.17/199.18 ! [V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),c_List_Olist_ONil(T_c)) = V_f1_2 ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listset_Osimps_I2_J,axiom,
% 199.17/199.18 ! [V_As_2,V_A_2,T_b] : c_List_Olistset(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_As_2)) = c_List_Oset__Cons(T_b,V_A_2,c_List_Olistset(T_b,V_As_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_zip__Cons1,axiom,
% 199.17/199.18 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_ys_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_c,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),T_c),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_c))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_c),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)))),hAPP(c_List_Ozip(T_b,T_c),V_xs_2))),V_ys_2) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_sorted__list__of__set__remove,axiom,
% 199.17/199.18 ! [V_x_2,V_A_2,T_b] :
% 199.17/199.18 ( class_Orderings_Olinorder(T_b)
% 199.17/199.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.18 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = c_List_Oremove1(T_b,V_x_2,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_upto_Opinduct,axiom,
% 199.17/199.18 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 199.17/199.18 ( 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)))
% 199.17/199.18 => ( ! [B_i,B_j] :
% 199.17/199.18 ( 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)))
% 199.17/199.18 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 199.17/199.18 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint))),B_j)) )
% 199.17/199.18 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) )
% 199.17/199.18 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_sorted__list__of__set__empty,axiom,
% 199.17/199.18 ! [T_b] :
% 199.17/199.18 ( class_Orderings_Olinorder(T_b)
% 199.17/199.18 => c_List_Olinorder__class_Osorted__list__of__set(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_anamorph_Osimps,axiom,
% 199.17/199.18 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 199.17/199.18 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 199.17/199.18 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),V_k_2),V_x_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2) )
% 199.17/199.18 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 199.17/199.18 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),V_k_2),V_x_2) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(tc_List_Olist(T_b),T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),c_COMBB(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c),T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),T_b),c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),T_c))),c_List_Olist_OCons(T_b))))),hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))),hAPP(V_f_2,V_x_2)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_sublist__Cons,axiom,
% 199.17/199.18 ! [V_A_2,V_l_2,V_x_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(hAPP(c_If(tc_List_Olist(T_b)),hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olist_ONil(T_b))),c_List_Osublist(T_b,V_l_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_A_2)))) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_append1__eq__conv,axiom,
% 199.17/199.18 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 199.17/199.18 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b)))
% 199.17/199.18 <=> ( V_xs_2 = V_ys_2
% 199.17/199.18 & V_x_2 = V_y_2 ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Cons__eq__append__conv,axiom,
% 199.17/199.18 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] :
% 199.17/199.18 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2)
% 199.17/199.18 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 199.17/199.18 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 )
% 199.17/199.18 | ? [B_ys_H] :
% 199.17/199.18 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2
% 199.17/199.18 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_append__eq__Cons__conv,axiom,
% 199.17/199.18 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] :
% 199.17/199.18 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)
% 199.17/199.18 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 199.17/199.18 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) )
% 199.17/199.18 | ? [B_ys_H] :
% 199.17/199.18 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H)
% 199.17/199.18 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Cons__eq__appendI,axiom,
% 199.17/199.18 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 199.17/199.18 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 199.17/199.18 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 199.17/199.18 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_append__Cons,axiom,
% 199.17/199.18 ! [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)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_append__in__lists__conv,axiom,
% 199.17/199.18 ! [V_A_2,V_ys_2,V_xs_2,T_b] :
% 199.17/199.18 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)),c_List_Olists(T_b,V_A_2)))
% 199.17/199.18 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 199.17/199.18 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_append__assoc,axiom,
% 199.17/199.18 ! [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)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_append__eq__append__conv2,axiom,
% 199.17/199.18 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] :
% 199.17/199.18 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_ts_2)
% 199.17/199.18 <=> ? [B_us] :
% 199.17/199.18 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us)
% 199.17/199.18 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 )
% 199.17/199.18 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2
% 199.17/199.18 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_same__append__eq,axiom,
% 199.17/199.18 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 199.17/199.18 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_zs_2)
% 199.17/199.18 <=> V_ys_2 = V_zs_2 ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_append__same__eq,axiom,
% 199.17/199.18 ! [V_zs_2,V_xs_2,V_ys_2,T_b] :
% 199.17/199.18 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_xs_2)
% 199.17/199.18 <=> V_ys_2 = V_zs_2 ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_append__eq__appendI,axiom,
% 199.17/199.18 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 199.17/199.18 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 199.17/199.18 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 199.17/199.18 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_listsum__append,axiom,
% 199.17/199.18 ! [V_ys,V_xs,T_a] :
% 199.17/199.18 ( class_Groups_Omonoid__add(T_a)
% 199.17/199.18 => 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)) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_length__append,axiom,
% 199.17/199.18 ! [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)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_zip__append,axiom,
% 199.17/199.18 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 199.17/199.18 ( 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)
% 199.17/199.18 => ( 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)
% 199.17/199.18 => 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)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_set__append,axiom,
% 199.17/199.18 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_eq__Nil__appendI,axiom,
% 199.17/199.18 ! [T_a,V_ys,V_xs] :
% 199.17/199.18 ( V_xs = V_ys
% 199.17/199.18 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_append__self__conv2,axiom,
% 199.17/199.18 ! [V_ys_2,V_xs_2,T_b] :
% 199.17/199.18 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2
% 199.17/199.18 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_append__self__conv,axiom,
% 199.17/199.18 ! [V_ys_2,V_xs_2,T_b] :
% 199.17/199.18 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2
% 199.17/199.18 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_append__is__Nil__conv,axiom,
% 199.17/199.18 ! [V_ys_2,V_xs_2,T_b] :
% 199.17/199.18 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b)
% 199.17/199.18 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 199.17/199.18 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_self__append__conv2,axiom,
% 199.17/199.18 ! [V_xs_2,T_b,V_ys_2] :
% 199.17/199.18 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 199.17/199.18 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_self__append__conv,axiom,
% 199.17/199.18 ! [V_ys_2,T_b,V_xs_2] :
% 199.17/199.18 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 199.17/199.18 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_append__Nil2,axiom,
% 199.17/199.18 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 199.17/199.18
% 199.17/199.18 fof(fact_Nil__is__append__conv,axiom,
% 199.17/199.18 ! [V_ys_2,V_xs_2,T_b] :
% 199.17/199.18 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 199.17/199.18 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 199.17/199.18 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_append__Nil,axiom,
% 199.17/199.18 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 199.17/199.18
% 199.17/199.18 fof(fact_butlast__append,axiom,
% 199.17/199.18 ! [V_xs,T_a,V_ys] :
% 199.17/199.18 ( ( V_ys = c_List_Olist_ONil(T_a)
% 199.17/199.18 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 199.17/199.18 & ( V_ys != c_List_Olist_ONil(T_a)
% 199.17/199.18 => 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)) ) ) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_nth__append__length,axiom,
% 199.17/199.18 ! [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 ).
% 199.17/199.18
% 199.17/199.18 fof(fact_nth__append__length__plus,axiom,
% 199.17/199.18 ! [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) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_take__append,axiom,
% 199.17/199.18 ! [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)) ).
% 199.17/199.18
% 199.17/199.18 fof(fact_list__update__append1,axiom,
% 199.17/199.18 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 199.17/199.18 ( 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)))
% 199.17/199.18 => 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) ) ).
% 199.17/199.18
% 199.17/199.19 fof(fact_list__update__length,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_remove1__append,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2)),V_ys_2) )
% 199.17/199.19 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oremove1(T_b,V_x_2,V_ys_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_in__set__butlast__appendI,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 199.17/199.19 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) )
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_butlast__snoc,axiom,
% 199.17/199.19 ! [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 ).
% 199.17/199.19
% 199.17/199.19 fof(fact_append__listrel1I,axiom,
% 199.17/199.19 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 199.17/199.19 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 199.17/199.19 & V_us_2 = V_vs_2 )
% 199.17/199.19 | ( V_xs_2 = V_ys_2
% 199.17/199.19 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_us_2),V_vs_2)),c_List_Olistrel1(T_b,V_r_2))) ) )
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2)),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_vs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_lexord__append__leftI,axiom,
% 199.17/199.19 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2)))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_distinct__append,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 199.17/199.19 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 199.17/199.19 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 199.17/199.19 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_nth__append,axiom,
% 199.17/199.19 ! [V_ys,V_xs,T_a,V_n] :
% 199.17/199.19 ( ( 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)))
% 199.17/199.19 => 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) )
% 199.17/199.19 & ( ~ 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)))
% 199.17/199.19 => 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))) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__update__append,axiom,
% 199.17/199.19 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 199.17/199.19 ( ( 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)))
% 199.17/199.19 => 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) )
% 199.17/199.19 & ( ~ 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)))
% 199.17/199.19 => 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)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sublist__append,axiom,
% 199.17/199.19 ! [V_A_2,V_l_H_2,V_l_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_l_2),V_l_H_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Osublist(T_b,V_l_2,V_A_2)),c_List_Osublist(T_b,V_l_H_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_l_2)))),V_A_2)))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_listrel1I,axiom,
% 199.17/199.19 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 199.17/199.19 => ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_vs_2))
% 199.17/199.19 => ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_vs_2))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_lexord__append__left__rightI,axiom,
% 199.17/199.19 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2))),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_y_2)))),c_List_Olexord(T_b,V_r_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_take__Suc__conv__app__nth,axiom,
% 199.17/199.19 ! [V_xs,T_a,V_i] :
% 199.17/199.19 ( 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)))
% 199.17/199.19 => 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))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 199.17/199.19 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)))),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))))),c_List_Olistrel1(T_b,V_r_2)))
% 199.17/199.19 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 199.17/199.19 & V_x_2 = V_y_2 )
% 199.17/199.19 | ( V_xs_2 = V_ys_2
% 199.17/199.19 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_listrel1E,axiom,
% 199.17/199.19 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 199.17/199.19 => ~ ! [B_x,B_y] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 199.17/199.19 => ! [B_us,B_vs] :
% 199.17/199.19 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs))
% 199.17/199.19 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_lexord__append__leftD,axiom,
% 199.17/199.19 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2)))
% 199.17/199.19 => ( ! [B_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_a)),V_r_2))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2))) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rotate1__def,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] : hAPP(c_List_Orotate1(T_b),V_xs_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)))),V_xs_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_upd__conv__take__nth__drop,axiom,
% 199.17/199.19 ! [V_a,V_xs,T_a,V_i] :
% 199.17/199.19 ( 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)))
% 199.17/199.19 => 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))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_append__take__drop__id,axiom,
% 199.17/199.19 ! [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 ).
% 199.17/199.19
% 199.17/199.19 fof(fact_drop__1__Cons,axiom,
% 199.17/199.19 ! [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 ).
% 199.17/199.19
% 199.17/199.19 fof(fact_drop__Suc__Cons,axiom,
% 199.17/199.19 ! [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) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_nth__via__drop,axiom,
% 199.17/199.19 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 199.17/199.19 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 199.17/199.19 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_distinct1__rotate,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)))
% 199.17/199.19 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_distinct__drop,axiom,
% 199.17/199.19 ! [V_i,V_xs,T_a] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 199.17/199.19 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_drop__butlast,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_butlast__drop,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_drop__take,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_take__drop,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_drop__0,axiom,
% 199.17/199.19 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 199.17/199.19
% 199.17/199.19 fof(fact_drop__drop,axiom,
% 199.17/199.19 ! [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) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_drop__zip,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__rotate1,axiom,
% 199.17/199.19 ! [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) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__drop,axiom,
% 199.17/199.19 ! [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) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_set__rotate1,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_in__set__dropD,axiom,
% 199.17/199.19 ! [V_xs_2,V_na_2,V_x_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2))))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_set__drop__subset,axiom,
% 199.17/199.19 ! [V_xs_2,V_na_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rotate1__is__Nil__conv,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] :
% 199.17/199.19 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 199.17/199.19 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_drop__Nil,axiom,
% 199.17/199.19 ! [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) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_set__drop__subset__set__drop,axiom,
% 199.17/199.19 ! [V_xs_2,T_b,V_m_2,V_na_2] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2)))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_drop__all,axiom,
% 199.17/199.19 ! [V_n,V_xs,T_a] :
% 199.17/199.19 ( 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))
% 199.17/199.19 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_drop__eq__Nil,axiom,
% 199.17/199.19 ! [V_xs_2,V_na_2,T_b] :
% 199.17/199.19 ( hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 199.17/199.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_na_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_drop__append,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_append__eq__conv__conj,axiom,
% 199.17/199.19 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 199.17/199.19 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2
% 199.17/199.19 <=> ( V_xs_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2)
% 199.17/199.19 & V_ys_2 = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_drop__Cons,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,V_na_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_na_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Odrop(T_b)),V_xs_2),V_na_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_drop__Cons_H,axiom,
% 199.17/199.19 ! [V_xs,V_x,T_a,V_n] :
% 199.17/199.19 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.19 => 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) )
% 199.17/199.19 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.19 => 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) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_nth__drop,axiom,
% 199.17/199.19 ! [V_xs,T_a,V_i,V_n] :
% 199.17/199.19 ( 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)))
% 199.17/199.19 => 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)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_append__eq__append__conv__if,axiom,
% 199.17/199.19 ! [V_ys_092_060_094isub_0622_2,V_ys_092_060_094isub_0621_2,V_xs_092_060_094isub_0622_2,V_xs_092_060_094isub_0621_2,T_b] :
% 199.17/199.19 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_092_060_094isub_0621_2),V_xs_092_060_094isub_0622_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_092_060_094isub_0621_2),V_ys_092_060_094isub_0622_2)
% 199.17/199.19 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)))
% 199.17/199.19 => ( V_xs_092_060_094isub_0621_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)
% 199.17/199.19 & V_xs_092_060_094isub_0622_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)),V_ys_092_060_094isub_0622_2) ) )
% 199.17/199.19 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)))
% 199.17/199.19 => ( hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2) = V_ys_092_060_094isub_0621_2
% 199.17/199.19 & hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2)),V_xs_092_060_094isub_0622_2) = V_ys_092_060_094isub_0622_2 ) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_nth__drop_H,axiom,
% 199.17/199.19 ! [V_xs,T_a,V_i] :
% 199.17/199.19 ( 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)))
% 199.17/199.19 => 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) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rotate__simps,axiom,
% 199.17/199.19 ! [V_xs,V_x,T_b,T_a] :
% 199.17/199.19 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 199.17/199.19 & 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))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_drop__Cons__number__of,axiom,
% 199.17/199.19 ! [V_xs,V_x,T_a,V_v] :
% 199.17/199.19 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.19 => 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) )
% 199.17/199.19 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.19 => 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) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_take__add,axiom,
% 199.17/199.19 ! [V_xs,T_a,V_j,V_i] :
% 199.17/199.19 ( 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)))
% 199.17/199.19 => 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))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rotate1__length01,axiom,
% 199.17/199.19 ! [V_xs,T_a] :
% 199.17/199.19 ( 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)))
% 199.17/199.19 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_zip__append2,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_zip__append1,axiom,
% 199.17/199.19 ! [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))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_id__take__nth__drop,axiom,
% 199.17/199.19 ! [V_xs,T_a,V_i] :
% 199.17/199.19 ( 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)))
% 199.17/199.19 => 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))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_take__hd__drop,axiom,
% 199.17/199.19 ! [V_xs,T_a,V_n] :
% 199.17/199.19 ( 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)))
% 199.17/199.19 => 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) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_hd__drop__conv__nth,axiom,
% 199.17/199.19 ! [V_n,T_a,V_xs] :
% 199.17/199.19 ( V_xs != c_List_Olist_ONil(T_a)
% 199.17/199.19 => ( 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)))
% 199.17/199.19 => 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) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_hd_Osimps,axiom,
% 199.17/199.19 ! [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 ).
% 199.17/199.19
% 199.17/199.19 fof(fact_hd__append,axiom,
% 199.17/199.19 ! [V_ys,T_a,V_xs] :
% 199.17/199.19 ( ( V_xs = c_List_Olist_ONil(T_a)
% 199.17/199.19 => 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) )
% 199.17/199.19 & ( V_xs != c_List_Olist_ONil(T_a)
% 199.17/199.19 => 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) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_hd__append2,axiom,
% 199.17/199.19 ! [V_ys,T_a,V_xs] :
% 199.17/199.19 ( V_xs != c_List_Olist_ONil(T_a)
% 199.17/199.19 => 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) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_hd__in__set,axiom,
% 199.17/199.19 ! [T_b,V_xs_2] :
% 199.17/199.19 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_hd__conv__nth,axiom,
% 199.17/199.19 ! [T_a,V_xs] :
% 199.17/199.19 ( V_xs != c_List_Olist_ONil(T_a)
% 199.17/199.19 => 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)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rotate1__hd__tl,axiom,
% 199.17/199.19 ! [T_a,V_xs] :
% 199.17/199.19 ( V_xs != c_List_Olist_ONil(T_a)
% 199.17/199.19 => 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))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_hd__rotate__conv__nth,axiom,
% 199.17/199.19 ! [V_n,T_a,V_xs] :
% 199.17/199.19 ( V_xs != c_List_Olist_ONil(T_a)
% 199.17/199.19 => 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))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_tl__drop,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_drop__tl,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_tl_Osimps_I2_J,axiom,
% 199.17/199.19 ! [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 ).
% 199.17/199.19
% 199.17/199.19 fof(fact_distinct__rotate,axiom,
% 199.17/199.19 ! [V_xs_2,V_na_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2)))
% 199.17/199.19 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_distinct__tl,axiom,
% 199.17/199.19 ! [V_xs,T_a] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 199.17/199.19 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rotate__rotate,axiom,
% 199.17/199.19 ! [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) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rotate0,axiom,
% 199.17/199.19 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rotate__add,axiom,
% 199.17/199.19 ! [V_na_2,V_m_2,T_b] : c_List_Orotate(T_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2)) = hAPP(c_Fun_Ocomp(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orotate(T_b,V_m_2)),c_List_Orotate(T_b,V_na_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__rotate,axiom,
% 199.17/199.19 ! [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) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_set__rotate,axiom,
% 199.17/199.19 ! [V_xs_2,V_na_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rotate__is__Nil__conv,axiom,
% 199.17/199.19 ! [V_xs_2,V_na_2,T_b] :
% 199.17/199.19 ( hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 199.17/199.19 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_tl_Osimps_I1_J,axiom,
% 199.17/199.19 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rotate1__rotate__swap,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rotate__def,axiom,
% 199.17/199.19 ! [V_na_2,T_b] : c_List_Orotate(T_b,V_na_2) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_na_2),c_List_Orotate1(T_b)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_tl__append2,axiom,
% 199.17/199.19 ! [V_ys,T_a,V_xs] :
% 199.17/199.19 ( V_xs != c_List_Olist_ONil(T_a)
% 199.17/199.19 => 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) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_take__tl,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rotate__conv__mod,axiom,
% 199.17/199.19 ! [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) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_drop__Suc,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rotate__Suc,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_tl__append,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,hAPP(c_List_Otl(T_b),V_ys_2),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b)),V_ys_2))),V_xs_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rotate__id,axiom,
% 199.17/199.19 ! [V_xs,T_a,V_n] :
% 199.17/199.19 ( 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)
% 199.17/199.19 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rotate__length01,axiom,
% 199.17/199.19 ! [V_n,V_xs,T_a] :
% 199.17/199.19 ( 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)))
% 199.17/199.19 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__tl,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_tl__take,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_take__Suc,axiom,
% 199.17/199.19 ! [V_n,T_a,V_xs] :
% 199.17/199.19 ( V_xs != c_List_Olist_ONil(T_a)
% 199.17/199.19 => 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))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rotate__drop__take,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_fold1__set,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] :
% 199.17/199.19 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 199.17/199.19 => ( V_xs_2 != c_List_Olist_ONil(T_b)
% 199.17/199.19 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Otl(T_b),V_xs_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_lexord__append__rightI,axiom,
% 199.17/199.19 ! [V_r_2,V_x_2,T_b,V_y_2] :
% 199.17/199.19 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z)
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_y_2))),c_List_Olexord(T_b,V_r_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_foldl__Nil,axiom,
% 199.17/199.19 ! [V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),c_List_Olist_ONil(T_c)) = V_a_2 ).
% 199.17/199.19
% 199.17/199.19 fof(fact_start__le__sum,axiom,
% 199.17/199.19 ! [V_ns_2,V_na_2,V_m_2] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_ns_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_foldl__absorb0,axiom,
% 199.17/199.19 ! [V_zs_2,V_x_2,T_b] :
% 199.17/199.19 ( class_Groups_Omonoid__add(T_b)
% 199.17/199.19 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_zs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_zs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_foldl__assoc,axiom,
% 199.17/199.19 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 199.17/199.19 ( class_Groups_Osemigroup__add(T_b)
% 199.17/199.19 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2)),V_zs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_y_2),V_zs_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_foldl__Cons,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(hAPP(V_f_2,V_a_2),V_x_2)),V_xs_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_foldl__append,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2)),V_ys_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_listsum__foldl,axiom,
% 199.17/199.19 ! [T_b] :
% 199.17/199.19 ( class_Groups_Omonoid__add(T_b)
% 199.17/199.19 => c_List_Omonoid__add__class_Olistsum(T_b) = c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sum__eq__0__conv,axiom,
% 199.17/199.19 ! [V_ns_2,V_m_2] :
% 199.17/199.19 ( 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)
% 199.17/199.19 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.19 & ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 199.17/199.19 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 199.17/199.19 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 199.17/199.19 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 199.17/199.19 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),V_xs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_Sup__set__fold,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] :
% 199.17/199.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 199.17/199.19 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_Inf__set__fold,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] :
% 199.17/199.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 199.17/199.19 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_Sup__fin__set__fold,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( class_Lattices_Olattice(T_b)
% 199.17/199.19 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_xs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_Inf__fin__set__fold,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( class_Lattices_Olattice(T_b)
% 199.17/199.19 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_xs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_Min__fin__set__fold,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_Max__fin__set__fold,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_SUPR__set__fold,axiom,
% 199.17/199.19 ! [V_f_2,V_xs_2,T_c,T_b] :
% 199.17/199.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 199.17/199.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_INFI__set__fold,axiom,
% 199.17/199.19 ! [V_f_2,V_xs_2,T_c,T_b] :
% 199.17/199.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 199.17/199.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_elem__le__sum,axiom,
% 199.17/199.19 ! [V_ns_2,V_na_2] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_na_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_ns_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__list__of__set__insert,axiom,
% 199.17/199.19 ! [V_x_2,V_A_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.19 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_lexord__Nil__left,axiom,
% 199.17/199.19 ! [V_r_2,V_y_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 199.17/199.19 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_insort__key_Osimps_I1_J,axiom,
% 199.17/199.19 ! [V_x_2,V_f_2,T_b,T_c] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_c)
% 199.17/199.19 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_insort__key_Osimps_I2_J,axiom,
% 199.17/199.19 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 199.17/199.19 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) )
% 199.17/199.19 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 199.17/199.19 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_ys_2)) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_set__insort,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_c)
% 199.17/199.19 => hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__insort,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_c)
% 199.17/199.19 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_insort__left__comm,axiom,
% 199.17/199.19 ! [V_xs_2,V_y_2,V_x_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_fun__left__comm__insort,axiom,
% 199.17/199.19 ! [T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => c_Finite__Set_Ofun__left__comm(T_b,tc_List_Olist(T_b),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_insort__key__left__comm,axiom,
% 199.17/199.19 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 199.17/199.19 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),V_xs_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_remove1__insort,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) = V_xs_2 ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_insort__not__Nil,axiom,
% 199.17/199.19 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_c)
% 199.17/199.19 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),V_xs_2) != c_List_Olist_ONil(T_b) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_distinct__insort,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_c)
% 199.17/199.19 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)))
% 199.17/199.19 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_insort__insert__insort__key,axiom,
% 199.17/199.19 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2))))
% 199.17/199.19 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_insort__insert__insort,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_distinct__insort__insert,axiom,
% 199.17/199.19 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_c)
% 199.17/199.19 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 199.17/199.19 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_c,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_insort__insert__triv,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_set__insort__insert,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_insort__insert__key__triv,axiom,
% 199.17/199.19 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2))))
% 199.17/199.19 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_last__list__update,axiom,
% 199.17/199.19 ! [V_x,V_k,T_a,V_xs] :
% 199.17/199.19 ( V_xs != c_List_Olist_ONil(T_a)
% 199.17/199.19 => ( ( 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))
% 199.17/199.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 199.17/199.19 & ( 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))
% 199.17/199.19 => 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) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_last__conv__nth,axiom,
% 199.17/199.19 ! [T_a,V_xs] :
% 199.17/199.19 ( V_xs != c_List_Olist_ONil(T_a)
% 199.17/199.19 => 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))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_last__ConsL,axiom,
% 199.17/199.19 ! [V_x,T_a,V_xs] :
% 199.17/199.19 ( V_xs = c_List_Olist_ONil(T_a)
% 199.17/199.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_last__ConsR,axiom,
% 199.17/199.19 ! [V_x,T_a,V_xs] :
% 199.17/199.19 ( V_xs != c_List_Olist_ONil(T_a)
% 199.17/199.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_last_Osimps,axiom,
% 199.17/199.19 ! [V_x,T_a,V_xs] :
% 199.17/199.19 ( ( V_xs = c_List_Olist_ONil(T_a)
% 199.17/199.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 199.17/199.19 & ( V_xs != c_List_Olist_ONil(T_a)
% 199.17/199.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_last__appendL,axiom,
% 199.17/199.19 ! [V_xs,T_a,V_ys] :
% 199.17/199.19 ( V_ys = c_List_Olist_ONil(T_a)
% 199.17/199.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_last__appendR,axiom,
% 199.17/199.19 ! [V_xs,T_a,V_ys] :
% 199.17/199.19 ( V_ys != c_List_Olist_ONil(T_a)
% 199.17/199.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_last__append,axiom,
% 199.17/199.19 ! [V_xs,T_a,V_ys] :
% 199.17/199.19 ( ( V_ys = c_List_Olist_ONil(T_a)
% 199.17/199.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 199.17/199.19 & ( V_ys != c_List_Olist_ONil(T_a)
% 199.17/199.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_last__in__set,axiom,
% 199.17/199.19 ! [T_b,V_as_2] :
% 199.17/199.19 ( V_as_2 != c_List_Olist_ONil(T_b)
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_last__snoc,axiom,
% 199.17/199.19 ! [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 ).
% 199.17/199.19
% 199.17/199.19 fof(fact_last__drop,axiom,
% 199.17/199.19 ! [V_xs,T_a,V_n] :
% 199.17/199.19 ( 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)))
% 199.17/199.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_snoc__eq__iff__butlast,axiom,
% 199.17/199.19 ! [V_ys_2,V_x_2,V_xs_2,T_b] :
% 199.17/199.19 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = V_ys_2
% 199.17/199.19 <=> ( V_ys_2 != c_List_Olist_ONil(T_b)
% 199.17/199.19 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2
% 199.17/199.19 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_append__butlast__last__id,axiom,
% 199.17/199.19 ! [T_a,V_xs] :
% 199.17/199.19 ( V_xs != c_List_Olist_ONil(T_a)
% 199.17/199.19 => 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 ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_lists_Osimps,axiom,
% 199.17/199.19 ! [V_A_2,V_a_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2)))
% 199.17/199.19 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 199.17/199.19 | ? [B_a,B_l] :
% 199.17/199.19 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l)
% 199.17/199.19 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 199.17/199.19 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_select__weigth__select,axiom,
% 199.17/199.19 ! [T_b,V_xs_2] :
% 199.17/199.19 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 199.17/199.19 => c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)) = c_Random_Oselect(T_b,V_xs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_inj__mapI,axiom,
% 199.17/199.19 ! [V_f_2,T_c,T_b] :
% 199.17/199.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.19 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_last__map,axiom,
% 199.17/199.19 ! [V_f_2,T_c,T_b,V_xs_2] :
% 199.17/199.19 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 199.17/199.19 => c_List_Olast(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,c_List_Olast(T_b,V_xs_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_foldl__map,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_d,V_a_2,V_g_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_g_2,V_a_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,T_b)),T_b),c_COMBB(T_c,T_b,T_d)),V_g_2)),V_f_2),V_a_2),V_xs_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_map__tl,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Otl(T_c),V_xs_2)) = hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rotate__map,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_c,V_na_2,T_b] : hAPP(c_List_Orotate(T_b,V_na_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orotate(T_c,V_na_2),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_zip__same__conv__map,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))),V_xs_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_zip__map__map,axiom,
% 199.17/199.19 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_e),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),T_d),c_COMBB(T_c,tc_prod(T_b,T_c),T_e)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),V_g_2))),hAPP(hAPP(c_List_Ozip(T_d,T_e),V_xs_2),V_ys_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_zip__map1,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),V_ys_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_c),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),hAPP(hAPP(c_List_Ozip(T_d,T_c),V_xs_2),V_ys_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_map__zip__map,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,V_g_2,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_xs_2)),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_e,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_d,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_d),V_f_2)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_prod(T_c,T_d)),T_e),c_Product__Type_OPair(T_c,T_d)),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_e,T_d),V_xs_2),V_ys_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_map__zip__map2,axiom,
% 199.17/199.19 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),hAPP(hAPP(c_List_Omap(T_e,T_d),V_g_2),V_ys_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_e),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_e,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_c,T_d)),tc_fun(T_e,T_b),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_e),V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),T_c),c_COMBB(T_d,tc_prod(T_c,T_d),T_e)),c_Product__Type_OPair(T_c,T_d))),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_c,T_e),V_xs_2),V_ys_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_zip__map2,axiom,
% 199.17/199.19 ! [V_ys_2,V_f_2,T_d,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_d),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_d,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),T_b),c_COMBB(T_c,tc_prod(T_b,T_c),T_d)),c_Product__Type_OPair(T_b,T_c))),V_f_2))),hAPP(hAPP(c_List_Ozip(T_b,T_d),V_xs_2),V_ys_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_Nil__is__map__conv,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_c,T_b] :
% 199.17/199.19 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)
% 199.17/199.19 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_map_Osimps_I1_J,axiom,
% 199.17/199.19 ! [V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_map__is__Nil__conv,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_b,T_c] :
% 199.17/199.19 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 199.17/199.19 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_map__update,axiom,
% 199.17/199.19 ! [V_y_2,V_k_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist__update(T_c,V_xs_2),V_k_2),V_y_2)) = hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),V_k_2),hAPP(V_f_2,V_y_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_map__eq__conv,axiom,
% 199.17/199.19 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] :
% 199.17/199.19 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)
% 199.17/199.19 <=> ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 199.17/199.19 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_map__eq__imp__length__eq,axiom,
% 199.17/199.19 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] :
% 199.17/199.19 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_ys_2)
% 199.17/199.19 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),V_ys_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__map,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_listsum__addf,axiom,
% 199.17/199.19 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 199.17/199.19 ( class_Groups_Ocomm__monoid__add(T_b)
% 199.17/199.19 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_listsum__0,axiom,
% 199.17/199.19 ! [V_xs_2,T_c,T_b] :
% 199.17/199.19 ( class_Groups_Omonoid__add(T_b)
% 199.17/199.19 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_xs_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_listsum__const__mult,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] :
% 199.17/199.19 ( class_Rings_Osemiring__0(T_b)
% 199.17/199.19 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2)),V_f_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_listsum__mult__const,axiom,
% 199.17/199.19 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] :
% 199.17/199.19 ( class_Rings_Osemiring__0(T_b)
% 199.17/199.19 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_c_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),V_c_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_listsum__subtractf,axiom,
% 199.17/199.19 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 199.17/199.19 ( class_Groups_Oab__group__add(T_b)
% 199.17/199.19 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_map__injective,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 199.17/199.19 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)
% 199.17/199.19 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 199.17/199.19 => V_xs_2 = V_ys_2 ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_inj__map__eq__map,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 199.17/199.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.19 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)
% 199.17/199.19 <=> V_xs_2 = V_ys_2 ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_map__ident,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ).
% 199.17/199.19
% 199.17/199.19 fof(fact_take__map,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_c,V_na_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_na_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Otake(T_c),V_na_2),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_map__butlast,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Obutlast(T_c,V_xs_2)) = c_List_Obutlast(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_set__map,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_map_Osimps_I2_J,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_map__append,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_hd__map,axiom,
% 199.17/199.19 ! [V_f_2,T_c,T_b,V_xs_2] :
% 199.17/199.19 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 199.17/199.19 => hAPP(c_List_Ohd(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,hAPP(c_List_Ohd(T_b),V_xs_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_drop__map,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_c,V_na_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_na_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Odrop(T_c),V_na_2),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_List_Omap_Oidentity,axiom,
% 199.17/199.19 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_map__map,axiom,
% 199.17/199.19 ! [V_xs_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_xs_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_List_Omap_Ocompositionality,axiom,
% 199.17/199.19 ! [V_list_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_list_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_list_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_map__comp__map,axiom,
% 199.17/199.19 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_List_Omap_Ocomp,axiom,
% 199.17/199.19 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__size__map,axiom,
% 199.17/199.19 ! [V_xs_2,V_g_2,T_c,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)) = c_List_Olist_Olist__size(T_c,hAPP(c_Fun_Ocomp(T_b,tc_Nat_Onat,T_c,V_f_2),V_g_2),V_xs_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_List_Omap_Oid,axiom,
% 199.17/199.19 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_inj__on__map__eq__map,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 199.17/199.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)))
% 199.17/199.19 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)
% 199.17/199.19 <=> V_xs_2 = V_ys_2 ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_map__inj__on,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 199.17/199.19 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)
% 199.17/199.19 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),V_xs_2)),hAPP(c_List_Oset(T_c),V_ys_2)))
% 199.17/199.19 => V_xs_2 = V_ys_2 ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_nth__map,axiom,
% 199.17/199.19 ! [V_f_2,T_c,V_xs_2,T_b,V_na_2] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.19 => hAPP(hAPP(c_List_Onth(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)),V_na_2) = hAPP(V_f_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_map__fun__upd,axiom,
% 199.17/199.19 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] :
% 199.17/199.19 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => hAPP(hAPP(c_List_Omap(T_b,T_c),c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_y_2,V_v_2)),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_distinct__map,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_c,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 199.17/199.19 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 199.17/199.19 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_listsum__abs,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] :
% 199.17/199.19 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_b,T_b),c_Groups_Oabs__class_Oabs(T_b)),V_xs_2)))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_uminus__listsum__map,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_c,T_b] :
% 199.17/199.19 ( class_Groups_Oab__group__add(T_b)
% 199.17/199.19 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_xs_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_inj__on__mapI,axiom,
% 199.17/199.19 ! [V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),V_A_2)))
% 199.17/199.19 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),V_A_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_inj__map,axiom,
% 199.17/199.19 ! [V_f_2,T_c,T_b] :
% 199.17/199.19 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))
% 199.17/199.19 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_inj__mapD,axiom,
% 199.17/199.19 ! [V_f_2,T_c,T_b] :
% 199.17/199.19 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))
% 199.17/199.19 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 199.17/199.19 ! [V_f_2,V_xs_2,T_b,T_c] :
% 199.17/199.19 ( class_Groups_Ocomm__monoid__add(T_c)
% 199.17/199.19 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 199.17/199.19 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_listsum__triv,axiom,
% 199.17/199.19 ! [V_xs_2,V_r_2,T_c,T_b] :
% 199.17/199.19 ( class_Rings_Osemiring__1(T_b)
% 199.17/199.19 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_r_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2))),V_r_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_listsum__map__remove1,axiom,
% 199.17/199.19 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] :
% 199.17/199.19 ( class_Groups_Ocomm__monoid__add(T_c)
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)))) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 199.17/199.19 ! [V_f_2,V_A_2,T_b,T_c] :
% 199.17/199.19 ( class_Groups_Ocomm__monoid__add(T_c)
% 199.17/199.19 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.19 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b))))) )
% 199.17/199.19 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.19 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_pick__same,axiom,
% 199.17/199.19 ! [V_xs_2,T_b,V_l_2] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_l_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.19 => hAPP(c_Random_Opick(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)),hAPP(c_Code__Numeral_Oof__nat,V_l_2)) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_l_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 199.17/199.19 ! [V_m_2,V_na_2] :
% 199.17/199.19 ( hAPP(c_Code__Numeral_Oof__nat,V_na_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 199.17/199.19 <=> V_na_2 = V_m_2 ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 199.17/199.19 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_times__code__numeral__code,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_zero__code__numeral__def,axiom,
% 199.17/199.19 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_one__code__numeral__def,axiom,
% 199.17/199.19 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_less__code__numeral__code,axiom,
% 199.17/199.19 ! [V_m_2,V_na_2] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_na_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2)))
% 199.17/199.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 199.17/199.19 ! [V_y_2,V_x_2] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 199.17/199.19 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 199.17/199.19 <=> V_x_2 = V_y_2 ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_map__fst__zip,axiom,
% 199.17/199.19 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 199.17/199.19 ( 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)
% 199.17/199.19 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_xs_2 ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_map__snd__zip,axiom,
% 199.17/199.19 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 199.17/199.19 ( 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)
% 199.17/199.19 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_ys_2 ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_number__of__code__numeral__def,axiom,
% 199.17/199.19 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) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_zip__map__fst__snd,axiom,
% 199.17/199.19 ! [V_zs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2)),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2)) = V_zs_2 ).
% 199.17/199.19
% 199.17/199.19 fof(fact_plus__code__numeral__code,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_less__eq__code__numeral__code,axiom,
% 199.17/199.19 ! [V_m_2,V_na_2] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_na_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2)))
% 199.17/199.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_subtract__code__numeral__code,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_pick__member,axiom,
% 199.17/199.19 ! [V_xs_2,T_b,V_i_2] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i_2),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2))))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Random_Opick(T_b,V_xs_2),V_i_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_zip__eq__conv,axiom,
% 199.17/199.19 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] :
% 199.17/199.19 ( 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)
% 199.17/199.19 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2
% 199.17/199.19 <=> ( hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2) = V_xs_2
% 199.17/199.19 & hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2) = V_ys_2 ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__size__conv__listsum,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(T_b,tc_Nat_Onat),V_f_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_code__numeral__not__eq__zero,axiom,
% 199.17/199.19 ! [V_i_2] :
% 199.17/199.19 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 199.17/199.19 <=> 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)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 199.17/199.19 ! [V_l_2,V_k_2,V_f_2,T_b] :
% 199.17/199.19 ( class_Groups_Ocomm__monoid__add(T_b)
% 199.17/199.19 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_k_2,V_l_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_k_2,V_l_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 199.17/199.19 ! [V_j_2,V_i_2,V_f_2,T_b] :
% 199.17/199.19 ( class_Groups_Ocomm__monoid__add(T_b)
% 199.17/199.19 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_i_2,V_j_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_select__weight__member,axiom,
% 199.17/199.19 ! [V_s_2,V_xs_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2))))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect__weight(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_select__weight__def,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Opick(T_b,V_xs_2))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_select__def,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] : c_Random_Oselect(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Code__Numeral_Ocode__numeral),hAPP(c_List_Onth(T_b),V_xs_2)),c_Code__Numeral_Onat__of))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_listsum__mono,axiom,
% 199.17/199.19 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] :
% 199.17/199.19 ( ( class_Groups_Omonoid__add(T_c)
% 199.17/199.19 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 199.17/199.19 => ( ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_g_2),V_xs_2)))) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_nat__of__of__nat,axiom,
% 199.17/199.19 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 199.17/199.19
% 199.17/199.19 fof(fact_of__nat__nat__of,axiom,
% 199.17/199.19 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 199.17/199.19
% 199.17/199.19 fof(fact_nat__of__inverse,axiom,
% 199.17/199.19 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 199.17/199.19
% 199.17/199.19 fof(fact_code__numeral_Onat__of__inject,axiom,
% 199.17/199.19 ! [V_y_2,V_x_2] :
% 199.17/199.19 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 199.17/199.19 <=> V_x_2 = V_y_2 ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 199.17/199.19 ! [V_l_2,V_k_2] :
% 199.17/199.19 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 199.17/199.19 <=> V_k_2 = V_l_2 ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_times__code__numeral__def,axiom,
% 199.17/199.19 ! [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))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_type__definition__code__numeral,axiom,
% 199.17/199.19 c_Typedef_Otype__definition(tc_Code__Numeral_Ocode__numeral,tc_Nat_Onat,c_Code__Numeral_Onat__of,c_Code__Numeral_Oof__nat,c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_less__code__numeral__def,axiom,
% 199.17/199.19 ! [V_m_2,V_na_2] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2))
% 199.17/199.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_na_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_nat__of,axiom,
% 199.17/199.19 ! [V_x_2] : hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_x_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_nat__of__number,axiom,
% 199.17/199.19 ! [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) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_int__of__def,axiom,
% 199.17/199.19 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) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_less__eq__code__numeral__def,axiom,
% 199.17/199.19 ! [V_m_2,V_na_2] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2))
% 199.17/199.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_na_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_nat__of__code,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_nat__of__aux__def,axiom,
% 199.17/199.19 ! [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) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_Suc__code__numeral__def,axiom,
% 199.17/199.19 ! [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))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_minus__code__numeral__def,axiom,
% 199.17/199.19 ! [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))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_of__nat__inverse,axiom,
% 199.17/199.19 ! [V_y_2] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 199.17/199.19 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_plus__code__numeral__def,axiom,
% 199.17/199.19 ! [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))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_div__code__numeral__def,axiom,
% 199.17/199.19 ! [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))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_mod__code__numeral__def,axiom,
% 199.17/199.19 ! [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))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_code__numeral__decr,axiom,
% 199.17/199.19 ! [V_k] :
% 199.17/199.19 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 199.17/199.19 => 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))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 199.17/199.19 ! [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))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_partition__set,axiom,
% 199.17/199.19 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 199.17/199.19 ( c_List_Opartition(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2)
% 199.17/199.19 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_yes_2)),hAPP(c_List_Oset(T_b),V_no_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_partition__P,axiom,
% 199.17/199.19 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 199.17/199.19 ( c_List_Opartition(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2)
% 199.17/199.19 => ( ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2)))
% 199.17/199.19 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 199.17/199.19 & ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2)))
% 199.17/199.19 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_partition_Osimps_I1_J,axiom,
% 199.17/199.19 ! [V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_partition_Osimps_I2_J,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),hAPP(c_If(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(V_Pa_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_List_Olist_OCons(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_List_Olist(T_b))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_lists__Int__eq,axiom,
% 199.17/199.19 ! [V_B_2,V_A_2,T_b] : c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),c_List_Olists(T_b,V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),c_List_Olists(T_b,V_B_2))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_lists__IntI,axiom,
% 199.17/199.19 ! [V_B_2,V_A_2,V_l_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2)))
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2)))
% 199.17/199.19 => hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_l_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_listsp_ONil,axiom,
% 199.17/199.19 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_listsp_Oequations_I1_J,axiom,
% 199.17/199.19 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_in__listsp__conv__set,axiom,
% 199.17/199.19 ! [V_xs_2,V_A_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 199.17/199.19 <=> ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_listsp__conj__eq,axiom,
% 199.17/199.19 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_A_2)),V_B_2)),V_x_2))
% 199.17/199.19 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2))
% 199.17/199.19 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_listsp__inf__eq,axiom,
% 199.17/199.19 ! [V_B_2,V_A_2,T_b] : c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olistsp(T_b,V_A_2)),c_List_Olistsp(T_b,V_B_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_listsp__infI,axiom,
% 199.17/199.19 ! [V_B_2,V_l_2,V_A_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2))
% 199.17/199.19 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2))
% 199.17/199.19 => hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_l_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_listsp_Oequations_I2_J,axiom,
% 199.17/199.19 ! [V_a2_2,V_a1_2,V_A_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2)))
% 199.17/199.19 <=> ( hBOOL(hAPP(V_A_2,V_a1_2))
% 199.17/199.19 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_append__in__listsp__conv,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,V_A_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 199.17/199.19 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 199.17/199.19 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_listsp__mono,axiom,
% 199.17/199.19 ! [V_B_2,V_A_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olistsp(T_b,V_A_2)),c_List_Olistsp(T_b,V_B_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_listsp__lists__eq,axiom,
% 199.17/199.19 ! [V_x_2,V_A_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),V_x_2))
% 199.17/199.19 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_product_Osimps_I2_J,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : c_Enum_Oproduct(T_b,T_c,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Omap(T_c,tc_prod(T_b,T_c)),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)),V_ys_2)),c_Enum_Oproduct(T_b,T_c,V_xs_2,V_ys_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__all2__def,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 199.17/199.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 199.17/199.19 <=> ( 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)
% 199.17/199.19 & ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__all2__map1,axiom,
% 199.17/199.19 ! [V_bs_2,V_as_2,V_f_2,T_d,V_Pa_2,T_c,T_b] :
% 199.17/199.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_as_2),V_bs_2)
% 199.17/199.19 <=> c_List_Olist__all2(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),V_Pa_2),V_f_2),V_as_2,V_bs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__all2__map2,axiom,
% 199.17/199.19 ! [V_bs_2,V_f_2,T_d,V_as_2,V_Pa_2,T_c,T_b] :
% 199.17/199.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_bs_2))
% 199.17/199.19 <=> c_List_Olist__all2(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_d)),V_Pa_2)),V_f_2),V_as_2,V_bs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__all2__dropI,axiom,
% 199.17/199.19 ! [V_na_2,V_bs_2,V_as_2,V_Pa_2,T_c,T_b] :
% 199.17/199.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,V_bs_2)
% 199.17/199.19 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_as_2),hAPP(hAPP(c_List_Odrop(T_c),V_na_2),V_bs_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__all2__appendI,axiom,
% 199.17/199.19 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_Pa_2,T_c,T_b] :
% 199.17/199.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2)
% 199.17/199.19 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_c_2,V_d_2)
% 199.17/199.19 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_a_2),V_c_2),hAPP(hAPP(c_List_Oappend(T_c),V_b_2),V_d_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__all2__append,axiom,
% 199.17/199.19 ! [V_vs_2,V_us_2,V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 199.17/199.19 ( 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)
% 199.17/199.19 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2),hAPP(hAPP(c_List_Oappend(T_c),V_ys_2),V_vs_2))
% 199.17/199.19 <=> ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 199.17/199.19 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_us_2,V_vs_2) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__all2__Cons,axiom,
% 199.17/199.19 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_Pa_2,T_c,T_b] :
% 199.17/199.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2))
% 199.17/199.19 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 199.17/199.19 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__all2__takeI,axiom,
% 199.17/199.19 ! [V_na_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 199.17/199.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 199.17/199.19 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2),hAPP(hAPP(c_List_Otake(T_c),V_na_2),V_ys_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__all2__eq,axiom,
% 199.17/199.19 ! [T_b,V_ys_2,V_xs_2] :
% 199.17/199.19 ( V_xs_2 = V_ys_2
% 199.17/199.19 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__all2__lengthD,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 199.17/199.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 199.17/199.19 => 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) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__all2__Nil2,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_c,T_b] :
% 199.17/199.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,c_List_Olist_ONil(T_c))
% 199.17/199.19 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__all2__Nil,axiom,
% 199.17/199.19 ! [V_ys_2,V_Pa_2,T_c,T_b] :
% 199.17/199.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,c_List_Olist_ONil(T_b),V_ys_2)
% 199.17/199.19 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_product_Osimps_I1_J,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__all2__nthD2,axiom,
% 199.17/199.19 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 199.17/199.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))
% 199.17/199.19 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__all2__nthD,axiom,
% 199.17/199.19 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 199.17/199.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.19 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__all2__conv__all__nth,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 199.17/199.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 199.17/199.19 <=> ( 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)
% 199.17/199.19 & ! [B_i] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.19 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),B_i))) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__all2__update__cong2,axiom,
% 199.17/199.19 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 199.17/199.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))
% 199.17/199.19 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__all2__update__cong,axiom,
% 199.17/199.19 ! [V_y_2,V_x_2,V_ys_2,V_Pa_2,T_c,V_xs_2,T_b,V_i_2] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.19 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 199.17/199.19 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_distinct__product,axiom,
% 199.17/199.19 ! [V_ys,T_b,V_xs,T_a] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 199.17/199.19 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys))
% 199.17/199.19 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_product__list__set,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,T_c,T_b] : hAPP(c_List_Oset(tc_prod(T_b,T_c)),c_Enum_Oproduct(T_b,T_c,V_xs_2,V_ys_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_List_Oset(T_c),V_ys_2))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sublists__powset,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] : hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_Osublists(T_b,V_xs_2))) = hAPP(c_Set_OPow(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__sublists,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sublists_Osimps_I1_J,axiom,
% 199.17/199.19 ! [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))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sublists_Osimps_I2_J,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,T_b] : c_Enum_Osublists(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_Enum_Osublists(T_b,V_xs_2)),hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(T_b)),tc_fun(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(tc_List_Olist(T_b))),c_List_Oappend(tc_List_Olist(T_b))),hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_COMBI(tc_List_Olist(tc_List_Olist(T_b))))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_distinct__set__sublists,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 199.17/199.19 => hBOOL(hAPP(c_List_Odistinct(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),c_List_Oset(T_b)),c_Enum_Osublists(T_b,V_xs_2)))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_set__n__lists,axiom,
% 199.17/199.19 ! [V_xs_2,V_na_2,T_b] : hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_na_2,V_xs_2)) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_na_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),hAPP(c_List_Oset(T_b),V_xs_2)))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_enum__the__def,axiom,
% 199.17/199.19 ! [V_Pa_2,T_b] : c_Enum_Oenum__the(T_b,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_distinct__n__lists,axiom,
% 199.17/199.19 ! [V_n,V_xs,T_a] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 199.17/199.19 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_n__lists__Nil,axiom,
% 199.17/199.19 ! [T_a,V_n] :
% 199.17/199.19 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.19 => 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))) )
% 199.17/199.19 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.19 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_n__lists_Osimps_I1_J,axiom,
% 199.17/199.19 ! [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))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__n__lists,axiom,
% 199.17/199.19 ! [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) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__n__lists__elem,axiom,
% 199.17/199.19 ! [V_xs_2,V_na_2,V_ys_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_na_2,V_xs_2))))
% 199.17/199.19 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_na_2 ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__all2I,axiom,
% 199.17/199.19 ! [V_Pa_2,V_b_2,V_a_2,T_c,T_b] :
% 199.17/199.19 ( ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_a_2),V_b_2))))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) )
% 199.17/199.19 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_b_2)
% 199.17/199.19 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_all__nth__imp__all__set,axiom,
% 199.17/199.19 ! [V_x_2,V_Pa_2,V_xs_2,T_b] :
% 199.17/199.19 ( ! [B_i] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.19 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_fun__left__comm_Ofold__set__remdups,axiom,
% 199.17/199.19 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 199.17/199.19 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 199.17/199.19 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),c_List_Oremdups(T_b,V_xs_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_map__removeAll__inj__on,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 199.17/199.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_c,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_distinct__remdups,axiom,
% 199.17/199.19 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__remdups__leq,axiom,
% 199.17/199.19 ! [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))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_remdups__id__iff__distinct,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] :
% 199.17/199.19 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2
% 199.17/199.19 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_distinct__removeAll,axiom,
% 199.17/199.19 ! [V_x,V_xs,T_a] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 199.17/199.19 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_distinct__remdups__id,axiom,
% 199.17/199.19 ! [V_xs,T_a] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 199.17/199.19 => c_List_Oremdups(T_a,V_xs) = V_xs ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_set__remdups,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__remdups__eq,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] :
% 199.17/199.19 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 199.17/199.19 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_remdups__remdups,axiom,
% 199.17/199.19 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_remdups_Osimps_I1_J,axiom,
% 199.17/199.19 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_remdups__eq__nil__right__iff,axiom,
% 199.17/199.19 ! [V_x_2,T_b] :
% 199.17/199.19 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2)
% 199.17/199.19 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_removeAll_Osimps_I1_J,axiom,
% 199.17/199.19 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_remdups__eq__nil__iff,axiom,
% 199.17/199.19 ! [V_x_2,T_b] :
% 199.17/199.19 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b)
% 199.17/199.19 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_removeAll_Osimps_I2_J,axiom,
% 199.17/199.19 ! [V_xs,T_a,V_y,V_x] :
% 199.17/199.19 ( ( V_x = V_y
% 199.17/199.19 => 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) )
% 199.17/199.19 & ( V_x != V_y
% 199.17/199.19 => 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)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_removeAll__append,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_remdups__map__remdups,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremdups(T_c,V_xs_2))) = c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_remove1__remdups,axiom,
% 199.17/199.19 ! [V_x,V_xs,T_a] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 199.17/199.19 => 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)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_removeAll__id,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_distinct__remove1__removeAll,axiom,
% 199.17/199.19 ! [V_x,V_xs,T_a] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 199.17/199.19 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_remdups_Osimps_I2_J,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Oremdups(T_b,V_xs_2) )
% 199.17/199.19 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oremdups(T_b,V_xs_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__remdups__card__conv,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_map__removeAll__inj,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 199.17/199.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.19 => hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_c,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_set__removeAll,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__remdups__concat,axiom,
% 199.17/199.19 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,c_List_Oconcat(T_b,V_xss_2))) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)),c_List_Oset(T_b))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__list__of__set__sort__remdups,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),c_List_Oremdups(T_b,V_xs_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sort__key__simps_I1_J,axiom,
% 199.17/199.19 ! [V_f_2,T_b,T_c] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_c)
% 199.17/199.19 => c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_foldl__conv__concat,axiom,
% 199.17/199.19 ! [V_xss_2,V_xs_2,T_b] : hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),V_xs_2),V_xss_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oconcat(T_b,V_xss_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_concat__conv__foldl,axiom,
% 199.17/199.19 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,V_xss_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),c_List_Olist_ONil(T_b)),V_xss_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__sort,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_b,T_c] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_c)
% 199.17/199.19 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_set__sort,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_b,T_c] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_c)
% 199.17/199.19 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_distinct__sort,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_b,T_c] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_c)
% 199.17/199.19 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)))
% 199.17/199.19 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_concat_Osimps_I1_J,axiom,
% 199.17/199.19 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_concat_Osimps_I2_J,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_Nil__eq__concat__conv,axiom,
% 199.17/199.19 ! [V_xss_2,T_b] :
% 199.17/199.19 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2)
% 199.17/199.19 <=> ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 199.17/199.19 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_concat__eq__Nil__conv,axiom,
% 199.17/199.19 ! [V_xss_2,T_b] :
% 199.17/199.19 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b)
% 199.17/199.19 <=> ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 199.17/199.19 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_map__concat,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oconcat(T_c,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__concat,axiom,
% 199.17/199.19 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oconcat(T_b,V_xss_2)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xss_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_set__concat,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oconcat(T_b,V_xs_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)),c_List_Oset(T_b)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sort__key__simps_I2_J,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_c)
% 199.17/199.19 => c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_concat__append,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sort__foldl__insort,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))),c_List_Olist_ONil(T_b)),V_xs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_concat__eq__concat__iff,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,T_b] :
% 199.17/199.19 ( ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2))))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) )
% 199.17/199.19 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2)
% 199.17/199.19 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 199.17/199.19 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_concat__injective,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,T_b] :
% 199.17/199.19 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 199.17/199.19 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2)
% 199.17/199.19 => ( ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2))))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) )
% 199.17/199.19 => V_xs_2 = V_ys_2 ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_concat__map__singleton,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_c),c_List_Olist_OCons(T_b)),V_f_2)),c_List_Olist_ONil(T_b))),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_n__lists_Osimps_I2_J,axiom,
% 199.17/199.19 ! [V_xs_2,V_na_2,T_b] : c_Enum_On__lists(T_b,hAPP(c_Nat_OSuc,V_na_2),V_xs_2) = c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_List_Omap(T_b,tc_List_Olist(T_b))),hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),V_xs_2)),c_Enum_On__lists(T_b,V_na_2,V_xs_2))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_transpose_Osimps_I3_J,axiom,
% 199.17/199.19 ! [V_xss_2,V_xs_2,V_x_2,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_transpose__aux__filter__head,axiom,
% 199.17/199.19 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),c_List_Ohd(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_filter__concat,axiom,
% 199.17/199.19 ! [V_xs_2,V_p_2,T_b] : hAPP(c_List_Ofilter(T_b,V_p_2),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Ofilter(T_b,V_p_2)),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_filter__sort,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,V_Pa_2,T_b,T_c] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_c)
% 199.17/199.19 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_distinct__filter,axiom,
% 199.17/199.19 ! [V_Pa_2,V_xs_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 199.17/199.19 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sum__length__filter__compl,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_filter__is__subset,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_filter__id__conv,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b] :
% 199.17/199.19 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = V_xs_2
% 199.17/199.19 <=> ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__filter__le,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_filter__filter,axiom,
% 199.17/199.19 ! [V_xs_2,V_Q_2,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(c_List_Ofilter(T_b,V_Q_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Q_2)),V_Pa_2)),V_xs_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_remove1__filter__not,axiom,
% 199.17/199.19 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 199.17/199.19 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 199.17/199.19 => c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_filter__remove1,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,V_Q_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Q_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Q_2),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_filter__insort__triv,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_b,V_x_2,V_Pa_2,T_c] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_c)
% 199.17/199.19 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 199.17/199.19 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_partition__filter1,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_partition__filter2,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_Pa_2)),V_xs_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_partition__filter__conv,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_b] : c_List_Opartition(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_f_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_f_2)),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_filter__map,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2)),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_transpose_Osimps_I1_J,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_filter_Osimps_I1_J,axiom,
% 199.17/199.19 ! [V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_filter_Osimps_I2_J,axiom,
% 199.17/199.19 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 199.17/199.19 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 199.17/199.19 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) )
% 199.17/199.19 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 199.17/199.19 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_filter__append,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_filter__empty__conv,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b] :
% 199.17/199.19 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 199.17/199.19 <=> ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__filter__map,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2)),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_removeAll__filter__not,axiom,
% 199.17/199.19 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 199.17/199.19 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 199.17/199.19 => hAPP(c_List_OremoveAll(T_b,V_x_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_remdups__filter,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b] : c_List_Oremdups(T_b,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oremdups(T_b,V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_removeAll__filter__not__eq,axiom,
% 199.17/199.19 ! [V_x_2,T_b] : c_List_OremoveAll(T_b,V_x_2) = c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(c_fequal,V_x_2))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_transpose_Osimps_I2_J,axiom,
% 199.17/199.19 ! [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) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_nth__transpose,axiom,
% 199.17/199.19 ! [V_xs_2,T_b,V_i_2] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2))))
% 199.17/199.19 => hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_transpose__map__map,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),c_List_Otranspose(T_c,V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_set__filter,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)))),V_Pa_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__filter__less,axiom,
% 199.17/199.19 ! [V_Pa_2,V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_set__minus__filter__out,axiom,
% 199.17/199.19 ! [V_y_2,V_xs_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_y_2))),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_filter__in__sublist,axiom,
% 199.17/199.19 ! [V_s_2,V_xs_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 199.17/199.19 => hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_s_2)))),V_xs_2) = c_List_Osublist(T_b,V_xs_2,V_s_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_transpose__empty,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] :
% 199.17/199.19 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b))
% 199.17/199.19 <=> ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.19 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__filter__conv__card,axiom,
% 199.17/199.19 ! [V_xs_2,V_p_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_p_2),V_xs_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat),V_p_2),hAPP(c_List_Onth(T_b),V_xs_2))))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_transpose__aux__filter__tail,axiom,
% 199.17/199.19 ! [V_xss_2,T_b] : c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otl(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_transpose_Opsimps_I3_J,axiom,
% 199.17/199.19 ! [V_xss_2,V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)))
% 199.17/199.19 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_transpose_Opsimps_I2_J,axiom,
% 199.17/199.19 ! [V_xss_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2)))
% 199.17/199.19 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2)) = c_List_Otranspose(T_b,V_xss_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sublist__shift__lemma__Suc,axiom,
% 199.17/199.19 ! [V_is_2,V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_Pa_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_b,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_b,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_Pa_2),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_select__weigth__drop__zero,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_pick__drop__zero,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] : c_Random_Opick(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Opick(T_b,V_xs_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_transpose_Opsimps_I1_J,axiom,
% 199.17/199.19 ! [T_b] :
% 199.17/199.19 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),c_List_Olist_ONil(tc_List_Olist(T_b))))
% 199.17/199.19 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_transpose__max__length,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] : c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_transpose__aux__max,axiom,
% 199.17/199.19 ! [V_xss_2,T_c,V_xs_2,T_b] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c))),V_xss_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_List_Ofilter(tc_List_Olist(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_c)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_c)))),V_xss_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_foldr_Osimps_I1_J,axiom,
% 199.17/199.19 ! [V_a_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c),V_a_2) = V_a_2 ).
% 199.17/199.19
% 199.17/199.19 fof(fact_foldr_Osimps_I2_J,axiom,
% 199.17/199.19 ! [V_a_2,V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2),V_a_2) = hAPP(hAPP(V_f_2,V_x_2),c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_foldr__append,axiom,
% 199.17/199.19 ! [V_a_2,V_ys_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2),V_a_2) = c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,c_List_Ofoldr(T_c,T_b,V_f_2,V_ys_2,V_a_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_foldr__conv__foldl,axiom,
% 199.17/199.19 ! [V_a_2,V_xs_2,T_b] :
% 199.17/199.19 ( class_Groups_Oab__semigroup__add(T_b)
% 199.17/199.19 => c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_foldr__map,axiom,
% 199.17/199.19 ! [V_a_2,V_xs_2,V_f_2,T_d,V_g_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_g_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2),V_a_2) = c_List_Ofoldr(T_d,T_b,hAPP(c_Fun_Ocomp(T_c,tc_fun(T_b,T_b),T_d,V_g_2),V_f_2),V_xs_2,V_a_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_foldl__foldr1__lemma,axiom,
% 199.17/199.19 ! [V_xs_2,V_a_2,T_b] :
% 199.17/199.19 ( class_Groups_Omonoid__add(T_b)
% 199.17/199.19 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_foldl__foldr1,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] :
% 199.17/199.19 ( class_Groups_Omonoid__add(T_b)
% 199.17/199.19 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_xs_2) = c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__transpose,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sublist__def,axiom,
% 199.17/199.19 ! [V_A_2,V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,V_A_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sublist__shift__lemma,axiom,
% 199.17/199.19 ! [V_i_2,V_xs_2,V_A_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(V_i_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_prod(T_b,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_i_2))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_atLeastLessThan__upt,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_set__upt,axiom,
% 199.17/199.19 ! [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) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_upt__Suc__append,axiom,
% 199.17/199.19 ! [V_j,V_i] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 199.17/199.19 => 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))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_upt__Suc,axiom,
% 199.17/199.19 ! [V_j,V_i] :
% 199.17/199.19 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 199.17/199.19 => 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))) )
% 199.17/199.19 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 199.17/199.19 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_upt__add__eq__append,axiom,
% 199.17/199.19 ! [V_k,V_j,V_i] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 199.17/199.19 => 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))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_upt__rec,axiom,
% 199.17/199.19 ! [V_j,V_i] :
% 199.17/199.19 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 199.17/199.19 => 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)) )
% 199.17/199.19 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 199.17/199.19 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_upt__conv__Cons,axiom,
% 199.17/199.19 ! [V_j,V_i] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 199.17/199.19 => 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)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_upt__conv__Nil,axiom,
% 199.17/199.19 ! [V_i,V_j] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 199.17/199.19 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_upt__eq__Nil__conv,axiom,
% 199.17/199.19 ! [V_j_2,V_i_2] :
% 199.17/199.19 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 199.17/199.19 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.19 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_upt__0,axiom,
% 199.17/199.19 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_take__upt,axiom,
% 199.17/199.19 ! [V_n,V_m,V_i] :
% 199.17/199.19 ( 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))
% 199.17/199.19 => 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)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__list__of__set__range,axiom,
% 199.17/199.19 ! [V_na_2,V_m_2] : c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2)) = c_List_Oupt(V_m_2,V_na_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_hd__upt,axiom,
% 199.17/199.19 ! [V_j,V_i] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 199.17/199.19 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_drop__upt,axiom,
% 199.17/199.19 ! [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) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_distinct__upt,axiom,
% 199.17/199.19 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__upt,axiom,
% 199.17/199.19 ! [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) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_upt__rec__number__of,axiom,
% 199.17/199.19 ! [V_n,V_m] :
% 199.17/199.19 ( ( 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)))
% 199.17/199.19 => 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))) )
% 199.17/199.19 & ( ~ 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)))
% 199.17/199.19 => 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) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_upt__eq__Cons__conv,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 199.17/199.19 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 199.17/199.19 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 199.17/199.19 & V_i_2 = V_x_2
% 199.17/199.19 & 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 ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_last__upt,axiom,
% 199.17/199.19 ! [V_j,V_i] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 199.17/199.19 => 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)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_map__Suc__upt,axiom,
% 199.17/199.19 ! [V_na_2,V_m_2] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),c_List_Oupt(V_m_2,V_na_2)) = c_List_Oupt(hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_na_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_atLeastAtMost__upt,axiom,
% 199.17/199.19 ! [V_m_2,V_na_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_na_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_na_2,hAPP(c_Nat_OSuc,V_m_2))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_atLeast__upt,axiom,
% 199.17/199.19 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_nth__upt,axiom,
% 199.17/199.19 ! [V_j,V_k,V_i] :
% 199.17/199.19 ( 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))
% 199.17/199.19 => 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) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_greaterThanAtMost__upt,axiom,
% 199.17/199.19 ! [V_m_2,V_na_2] : c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_na_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_na_2),hAPP(c_Nat_OSuc,V_m_2))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_greaterThanLessThan__upt,axiom,
% 199.17/199.19 ! [V_m_2,V_na_2] : c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_na_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_na_2),V_m_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_atMost__upto,axiom,
% 199.17/199.19 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_map__nth,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) = V_xs_2 ).
% 199.17/199.19
% 199.17/199.19 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 199.17/199.19 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 199.17/199.19 ( class_Groups_Ocomm__monoid__add(T_b)
% 199.17/199.19 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_na_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_na_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 199.17/199.19 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 199.17/199.19 ( class_Groups_Ocomm__monoid__add(T_b)
% 199.17/199.19 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_na_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_na_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_nth__map__upt,axiom,
% 199.17/199.19 ! [V_f_2,T_b,V_m_2,V_na_2,V_i_2] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),V_m_2)))
% 199.17/199.19 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_na_2))),V_i_2) = hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_i_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_transpose__rectangle,axiom,
% 199.17/199.19 ! [V_na_2,T_b,V_xs_2] :
% 199.17/199.19 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 199.17/199.19 => V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 199.17/199.19 => ( ! [B_i] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 199.17/199.19 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),B_i)) = V_na_2 )
% 199.17/199.19 => c_List_Otranspose(T_b,V_xs_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),tc_Nat_Onat),c_List_Omap(tc_Nat_Onat,T_b)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_Nat_Onat,T_b),tc_Nat_Onat),c_List_Onth(T_b)),hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2))))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_insort__key__remove1,axiom,
% 199.17/199.19 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_c)
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 199.17/199.19 => ( hAPP(c_List_Ohd(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),hAPP(c_fequal,hAPP(V_f_2,V_a_2))),V_f_2)),V_xs_2)) = V_a_2
% 199.17/199.19 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted_ONil,axiom,
% 199.17/199.19 ! [T_a] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_a)
% 199.17/199.19 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__single,axiom,
% 199.17/199.19 ! [V_x,T_a] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_a)
% 199.17/199.19 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__upt,axiom,
% 199.17/199.19 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__sort,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__insort__insert,axiom,
% 199.17/199.19 ! [V_x_2,V_xs_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 199.17/199.19 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__drop,axiom,
% 199.17/199.19 ! [V_n,V_xs,T_a] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_a)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 199.17/199.19 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__upto,axiom,
% 199.17/199.19 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__take,axiom,
% 199.17/199.19 ! [V_n,V_xs,T_a] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_a)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 199.17/199.19 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__remove1,axiom,
% 199.17/199.19 ! [V_a,V_xs,T_a] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_a)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 199.17/199.19 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__tl,axiom,
% 199.17/199.19 ! [V_xs,T_a] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_a)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 199.17/199.19 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__insort,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2))
% 199.17/199.19 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__butlast,axiom,
% 199.17/199.19 ! [V_xs,T_a] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_a)
% 199.17/199.19 => ( V_xs != c_List_Olist_ONil(T_a)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 199.17/199.19 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted_Oequations_I1_J,axiom,
% 199.17/199.19 ! [T_a] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_a)
% 199.17/199.19 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__many,axiom,
% 199.17/199.19 ! [V_zs,V_y,V_x,T_a] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_a)
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 199.17/199.19 => 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))) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__many__eq,axiom,
% 199.17/199.19 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)))
% 199.17/199.19 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 199.17/199.19 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__remdups,axiom,
% 199.17/199.19 ! [V_l,T_a] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_a)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_a,V_l)
% 199.17/199.19 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__distinct__set__unique,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 199.17/199.19 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 199.17/199.19 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 199.17/199.19 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 199.17/199.19 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__sort__key,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_c,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Osort__key(T_c,T_b,V_f_2,V_xs_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__insort__insert__key,axiom,
% 199.17/199.19 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 199.17/199.19 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__map__remove1,axiom,
% 199.17/199.19 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 199.17/199.19 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremove1(T_c,V_x_2,V_xs_2))) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__insort__key,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)))
% 199.17/199.19 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__filter,axiom,
% 199.17/199.19 ! [V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 199.17/199.19 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2))) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__map__same,axiom,
% 199.17/199.19 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_c),c_fequal),V_f_2)),hAPP(V_g_2,V_xs_2))),V_xs_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__same,axiom,
% 199.17/199.19 ! [V_xs_2,V_g_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),hAPP(V_g_2,V_xs_2))),V_xs_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__Cons,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 199.17/199.19 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 199.17/199.19 & ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__append,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 199.17/199.19 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 199.17/199.19 & c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 199.17/199.19 & ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => ! [B_xa] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2)))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_filter__insort,axiom,
% 199.17/199.19 ! [V_x_2,V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 199.17/199.19 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 199.17/199.19 => hAPP(c_List_Ofilter(T_c,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2)) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted_Oequations_I2_J,axiom,
% 199.17/199.19 ! [V_a1_2,V_a2_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2))
% 199.17/199.19 <=> ( ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2)))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) )
% 199.17/199.19 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__list__of__set,axiom,
% 199.17/199.19 ! [V_A_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.19 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2
% 199.17/199.19 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))
% 199.17/199.19 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_insort__remove1,axiom,
% 199.17/199.19 ! [V_xs_2,V_a_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 199.17/199.19 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__nth__mono,axiom,
% 199.17/199.19 ! [V_j,V_i,V_xs,T_a] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_a)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 199.17/199.19 => ( 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)))
% 199.17/199.19 => 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))) ) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__equals__nth__mono,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 199.17/199.19 <=> ! [B_j] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.19 => ! [B_i] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j))) ) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_map__sorted__distinct__set__unique,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_c)
% 199.17/199.19 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)))
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 199.17/199.19 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)))
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))
% 199.17/199.19 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)))
% 199.17/199.19 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 199.17/199.19 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_transpose__column,axiom,
% 199.17/199.19 ! [V_i_2,V_xs_2,T_b] :
% 199.17/199.19 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 199.17/199.19 => hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_nth__nth__transpose__sorted,axiom,
% 199.17/199.19 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 199.17/199.19 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2))))
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2))))
% 199.17/199.19 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_j_2)),V_i_2) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_inj__on__rev,axiom,
% 199.17/199.19 ! [V_A_2,T_b] : c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orev(T_b),V_A_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_distinct__rev,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2)))
% 199.17/199.19 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rev_Osimps_I1_J,axiom,
% 199.17/199.19 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_Nil__is__rev__conv,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] :
% 199.17/199.19 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2)
% 199.17/199.19 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rev__is__Nil__conv,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] :
% 199.17/199.19 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 199.17/199.19 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rev__singleton__conv,axiom,
% 199.17/199.19 ! [V_x_2,V_xs_2,T_b] :
% 199.17/199.19 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))
% 199.17/199.19 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_singleton__rev__conv,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(c_List_Orev(T_b),V_xs_2)
% 199.17/199.19 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rev__append,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rev__concat,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Orev(T_b)),hAPP(c_List_Orev(tc_List_Olist(T_b)),V_xs_2))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rev__map,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rev__filter,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Orev(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(c_List_Orev(T_b),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_zip__rev,axiom,
% 199.17/199.19 ! [V_ys,T_b,V_xs,T_a] :
% 199.17/199.19 ( 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)
% 199.17/199.19 => 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)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_set__rev,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__all2__rev1,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 199.17/199.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2)
% 199.17/199.19 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__all2__rev,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 199.17/199.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),hAPP(c_List_Orev(T_c),V_ys_2))
% 199.17/199.19 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rev__is__rev__conv,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,T_b] :
% 199.17/199.19 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2)
% 199.17/199.19 <=> V_xs_2 = V_ys_2 ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rev__swap,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,T_b] :
% 199.17/199.19 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2
% 199.17/199.19 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rev__rev__ident,axiom,
% 199.17/199.19 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 199.17/199.19
% 199.17/199.19 fof(fact_listsum__rev,axiom,
% 199.17/199.19 ! [V_xs,T_a] :
% 199.17/199.19 ( class_Groups_Ocomm__monoid__add(T_a)
% 199.17/199.19 => 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) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__rev,axiom,
% 199.17/199.19 ! [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) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_foldl__foldr,axiom,
% 199.17/199.19 ! [V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2) = c_List_Ofoldr(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2),V_a_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_foldr__foldl,axiom,
% 199.17/199.19 ! [V_a_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),V_f_2),V_a_2),hAPP(c_List_Orev(T_c),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rev_Osimps_I2_J,axiom,
% 199.17/199.19 ! [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))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rev__eq__Cons__iff,axiom,
% 199.17/199.19 ! [V_ys_2,V_y_2,V_xs_2,T_b] :
% 199.17/199.19 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 199.17/199.19 <=> V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Orev(T_b),V_ys_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_last__rev,axiom,
% 199.17/199.19 ! [T_a,V_xs] :
% 199.17/199.19 ( V_xs != c_List_Olist_ONil(T_a)
% 199.17/199.19 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_hd__rev,axiom,
% 199.17/199.19 ! [T_a,V_xs] :
% 199.17/199.19 ( V_xs != c_List_Olist_ONil(T_a)
% 199.17/199.19 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__transpose,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rev__foldl__cons,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)),V_xs_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rev__drop,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rev__take,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rotate__rev,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rev__nth,axiom,
% 199.17/199.19 ! [V_xs,T_a,V_n] :
% 199.17/199.19 ( 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)))
% 199.17/199.19 => 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))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_rev__update,axiom,
% 199.17/199.19 ! [V_y,V_xs,T_a,V_k] :
% 199.17/199.19 ( 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)))
% 199.17/199.19 => 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) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__rev__nth__mono,axiom,
% 199.17/199.19 ! [V_j,V_i,V_xs,T_a] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_a)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 199.17/199.19 => ( 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)))
% 199.17/199.19 => 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))) ) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_foldr__max__sorted,axiom,
% 199.17/199.19 ! [V_y_2,V_xs_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2))
% 199.17/199.19 => ( ( V_xs_2 = c_List_Olist_ONil(T_b)
% 199.17/199.19 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 )
% 199.17/199.19 & ( V_xs_2 != c_List_Olist_ONil(T_b)
% 199.17/199.19 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_y_2) ) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__transpose__sorted,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] :
% 199.17/199.19 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 199.17/199.19 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 199.17/199.19 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 199.17/199.19 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b))
% 199.17/199.19 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_transpose__column__length,axiom,
% 199.17/199.19 ! [V_i_2,V_xs_2,T_b] :
% 199.17/199.19 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 199.17/199.19 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_transpose__transpose,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] :
% 199.17/199.19 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 199.17/199.19 => c_List_Otranspose(T_b,c_List_Otranspose(T_b,V_xs_2)) = c_List_OtakeWhile(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b))),V_xs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 199.17/199.19 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__takeWhile,axiom,
% 199.17/199.19 ! [V_Pa_2,V_xs_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 199.17/199.19 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__takeWhile__le,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_takeWhile__eq__all__conv,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b] :
% 199.17/199.19 ( c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = V_xs_2
% 199.17/199.19 <=> ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_set__takeWhileD,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,V_x_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))))
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_zip__takeWhile__snd,axiom,
% 199.17/199.19 ! [V_ys_2,V_Pa_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),c_List_OtakeWhile(T_c,V_Pa_2,V_ys_2)) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_c,tc_HOL_Obool,tc_prod(T_b,T_c),V_Pa_2),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_zip__takeWhile__fst,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),V_ys_2) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,tc_prod(T_b,T_c),V_Pa_2),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_takeWhile__map,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OtakeWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_takeWhile__tail,axiom,
% 199.17/199.19 ! [V_l_2,V_xs_2,T_b,V_x_2,V_Pa_2] :
% 199.17/199.19 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 199.17/199.19 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2))) = c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 199.17/199.19 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 199.17/199.19 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 199.17/199.19 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) )
% 199.17/199.19 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 199.17/199.19 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_b) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 199.17/199.19 ! [V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_takeWhile__eq__take,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),V_xs_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_distinct__takeWhile,axiom,
% 199.17/199.19 ! [V_Pa_2,V_xs_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 199.17/199.19 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_return__list__def,axiom,
% 199.17/199.19 ! [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) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_takeWhile__append1,axiom,
% 199.17/199.19 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 199.17/199.19 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_nth__length__takeWhile,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.19 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_takeWhile__nth,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))))
% 199.17/199.19 => hAPP(hAPP(c_List_Onth(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_takeWhile__not__last,axiom,
% 199.17/199.19 ! [T_b,V_xs_2] :
% 199.17/199.19 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 199.17/199.19 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 199.17/199.19 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),c_List_Olast(T_b,V_xs_2))),V_xs_2) = c_List_Obutlast(T_b,V_xs_2) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 199.17/199.19 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 199.17/199.19 => hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2)),V_xs_2) = c_List_OtakeWhile(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2),V_xs_2) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 199.17/199.19 ! [V_l] :
% 199.17/199.19 ( c_List_Onat__list(V_l)
% 199.17/199.19 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_transfer__nat__int__list__functions_I1_J,axiom,
% 199.17/199.19 ! [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))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_embed__list__def,axiom,
% 199.17/199.19 ! [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) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_takeWhile__neq__rev,axiom,
% 199.17/199.19 ! [V_x_2,V_xs_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Orev(T_b),hAPP(c_List_Otl(T_b),c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_dropWhile__neq__rev,axiom,
% 199.17/199.19 ! [V_x_2,V_xs_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Orev(T_b),c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_takeWhile__dropWhile__id,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) = V_xs_2 ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__dropWhile,axiom,
% 199.17/199.19 ! [V_Pa_2,V_xs_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 199.17/199.19 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__dropWhile__le,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_dropWhile__eq__Nil__conv,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b] :
% 199.17/199.19 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = c_List_Olist_ONil(T_b)
% 199.17/199.19 <=> ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_dropWhile_Osimps_I2_J,axiom,
% 199.17/199.19 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 199.17/199.19 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 199.17/199.19 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) )
% 199.17/199.19 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 199.17/199.19 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_dropWhile_Osimps_I1_J,axiom,
% 199.17/199.19 ! [V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_distinct__dropWhile,axiom,
% 199.17/199.19 ! [V_Pa_2,V_xs_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 199.17/199.19 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_hd__dropWhile,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b] :
% 199.17/199.19 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) != c_List_Olist_ONil(T_b)
% 199.17/199.19 => ~ hBOOL(hAPP(V_Pa_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_dropWhile__map,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OdropWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_dropWhile__append1,axiom,
% 199.17/199.19 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 199.17/199.19 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)),V_ys_2) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_dropWhile__eq__Cons__conv,axiom,
% 199.17/199.19 ! [V_ys_2,V_y_2,V_xs_2,V_Pa_2,T_b] :
% 199.17/199.19 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 199.17/199.19 <=> ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))
% 199.17/199.19 & ~ hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_dropWhile__eq__drop,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),V_xs_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_dropWhile__nth,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))))
% 199.17/199.19 => hAPP(hAPP(c_List_Onth(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_listsum__map__filter,axiom,
% 199.17/199.19 ! [V_f_2,V_Pa_2,V_xs_2,T_b,T_c] :
% 199.17/199.19 ( class_Groups_Omonoid__add(T_c)
% 199.17/199.19 => ( ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => ( ~ hBOOL(hAPP(V_Pa_2,B_x))
% 199.17/199.19 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) )
% 199.17/199.19 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted__nth__monoI,axiom,
% 199.17/199.19 ! [V_xs,T_a] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_a)
% 199.17/199.19 => ( ! [B_i,B_j] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 199.17/199.19 => ( 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)))
% 199.17/199.19 => 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))) ) )
% 199.17/199.19 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_takeWhile__eq__filter,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b] :
% 199.17/199.19 ( ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))))
% 199.17/199.19 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 199.17/199.19 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_takeWhile__eq__take__P__nth,axiom,
% 199.17/199.19 ! [V_Pa_2,V_xs_2,T_b,V_na_2] :
% 199.17/199.19 ( ! [B_i] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2))
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.19 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) )
% 199.17/199.19 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.19 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2))) )
% 199.17/199.19 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_length__takeWhile__less__P__nth,axiom,
% 199.17/199.19 ! [V_xs_2,T_b,V_Pa_2,V_j_2] :
% 199.17/199.19 ( ! [B_i] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 199.17/199.19 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted_Osimps,axiom,
% 199.17/199.19 ! [V_a_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2)
% 199.17/199.19 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 199.17/199.19 | ? [B_xs,B_x] :
% 199.17/199.19 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 199.17/199.19 & ! [B_xa] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs)))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) )
% 199.17/199.19 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_not__in__set__insert,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_List_Oinsert__def,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 )
% 199.17/199.19 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_insert__remdups,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_distinct__insert,axiom,
% 199.17/199.19 ! [V_x,V_xs,T_a] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 199.17/199.19 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_in__set__insert,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_List_Oset__insert,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oinsert(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_insert__Nil,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_concat__map__maps,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),V_f_2),V_xs_2)) = c_List_Omaps(T_c,T_b,V_f_2,V_xs_2) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_maps__def,axiom,
% 199.17/199.19 ! [V_xs_2,V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,V_xs_2) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),V_f_2),V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_maps__simps_I2_J,axiom,
% 199.17/199.19 ! [V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_maps__simps_I1_J,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(V_f_2,V_x_2)),c_List_Omaps(T_c,T_b,V_f_2,V_xs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_distinct__concat,axiom,
% 199.17/199.19 ! [V_xs_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2))
% 199.17/199.19 => ( ! [B_ys] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.19 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) )
% 199.17/199.19 => ( ! [B_ys] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.19 => ! [B_zs] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.19 => ( B_ys != B_zs
% 199.17/199.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),B_ys)),hAPP(c_List_Oset(T_b),B_zs)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 199.17/199.19 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_measures__lesseq,axiom,
% 199.17/199.19 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 199.17/199.19 ( 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)))
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2)))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_wf__measures,axiom,
% 199.17/199.19 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_in__measures_I1_J,axiom,
% 199.17/199.19 ! [V_y_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_Nat_Onat))))) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_measures__def,axiom,
% 199.17/199.19 ! [V_fs_2,T_b] : c_List_Omeasures(T_b,V_fs_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat),T_b),c_List_Olex(tc_Nat_Onat,c_Wellfounded_Oless__than)),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(tc_fun(T_b,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_Nat_Onat),tc_Nat_Onat),tc_fun(tc_List_Olist(tc_fun(T_b,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),T_b),c_List_Omap(tc_fun(T_b,tc_Nat_Onat),tc_Nat_Onat)),hAPP(c_COMBC(tc_fun(T_b,tc_Nat_Onat),T_b,tc_Nat_Onat),c_COMBI(tc_fun(T_b,tc_Nat_Onat))))),V_fs_2)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_in__measures_I2_J,axiom,
% 199.17/199.19 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2))))
% 199.17/199.19 <=> ( 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)))
% 199.17/199.19 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 199.17/199.19 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2))) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_measures__less,axiom,
% 199.17/199.19 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 199.17/199.19 ( 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)))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_foldl__apply,axiom,
% 199.17/199.19 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] :
% 199.17/199.19 ( ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => hAPP(c_Fun_Ocomp(T_d,T_d,T_c,hAPP(V_f_2,B_x)),V_h_2) = hAPP(c_Fun_Ocomp(T_c,T_d,T_c,V_h_2),hAPP(V_g_2,B_x)) )
% 199.17/199.19 => hAPP(c_List_Ofoldl(T_d,T_b,hAPP(c_COMBC(T_b,T_d,T_d),V_f_2),hAPP(V_h_2,V_s_2)),V_xs_2) = hAPP(V_h_2,hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_g_2),V_s_2),V_xs_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_order__fun_I2_J,axiom,
% 199.17/199.19 ! [V_g_2,V_f_2,T_b,T_c] :
% 199.17/199.19 ( ( class_Orderings_Oorder(T_c)
% 199.17/199.19 & class_Enum_Oenum(T_b) )
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 199.17/199.19 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 199.17/199.19 & hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBS(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_g_2)))) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_enum__ex__prod__def,axiom,
% 199.17/199.19 ! [V_Pa_2,T_b,T_c] :
% 199.17/199.19 ( ( class_Enum_Oenum(T_c)
% 199.17/199.19 & class_Enum_Oenum(T_b) )
% 199.17/199.19 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_Pa_2))
% 199.17/199.19 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__ex(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_exists__code,axiom,
% 199.17/199.19 ! [V_Pa_2,T_b] :
% 199.17/199.19 ( class_Enum_Oenum(T_b)
% 199.17/199.19 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 199.17/199.19 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_enum__ex,axiom,
% 199.17/199.19 ! [V_Pa_2,T_b] :
% 199.17/199.19 ( class_Enum_Oenum(T_b)
% 199.17/199.19 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2))
% 199.17/199.19 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_zip__obtain__same__length,axiom,
% 199.17/199.19 ! [V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 199.17/199.19 ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2))
% 199.17/199.19 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2)))) )
% 199.17/199.19 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_pos__not__random__dseq__def,axiom,
% 199.17/199.19 ! [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)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_dropWhile__append2,axiom,
% 199.17/199.19 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 199.17/199.19 ( ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 199.17/199.19 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OdropWhile(T_b,V_Pa_2,V_ys_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__all2__all__nthI,axiom,
% 199.17/199.19 ! [V_Pa_2,V_b_2,T_c,V_a_2,T_b] :
% 199.17/199.19 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_b_2)
% 199.17/199.19 => ( ! [B_n] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2)))
% 199.17/199.19 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_a_2),B_n)),hAPP(hAPP(c_List_Onth(T_c),V_b_2),B_n))) )
% 199.17/199.19 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_finite__sorted__distinct__unique,axiom,
% 199.17/199.19 ! [V_A_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.19 => ? [B_x] :
% 199.17/199.19 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2
% 199.17/199.19 & c_List_Olinorder__class_Osorted(T_b,B_x)
% 199.17/199.19 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x))
% 199.17/199.19 & ! [B_y] :
% 199.17/199.19 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2
% 199.17/199.19 & c_List_Olinorder__class_Osorted(T_b,B_y)
% 199.17/199.19 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) )
% 199.17/199.19 => B_y = B_x ) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_takeWhile__append2,axiom,
% 199.17/199.19 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 199.17/199.19 ( ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 199.17/199.19 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_OtakeWhile(T_b,V_Pa_2,V_ys_2)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_insort__is__Cons,axiom,
% 199.17/199.19 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_c)
% 199.17/199.19 => ( ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) )
% 199.17/199.19 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_xs_2) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_filter__eq__Cons__iff,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,V_ys_2,V_Pa_2,T_b] :
% 199.17/199.19 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)
% 199.17/199.19 <=> ? [B_us,B_vs] :
% 199.17/199.19 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_vs))
% 199.17/199.19 & ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 199.17/199.19 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 199.17/199.19 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 199.17/199.19 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_Cons__eq__filter__iff,axiom,
% 199.17/199.19 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2)
% 199.17/199.19 <=> ? [B_us,B_vs] :
% 199.17/199.19 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_vs))
% 199.17/199.19 & ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 199.17/199.19 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 199.17/199.19 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 199.17/199.19 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_order__fun_I1_J,axiom,
% 199.17/199.19 ! [V_g_2,V_f_2,T_b,T_c] :
% 199.17/199.19 ( ( class_Orderings_Oorder(T_c)
% 199.17/199.19 & class_Enum_Oenum(T_b) )
% 199.17/199.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 199.17/199.19 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBS(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Oord__class_Oless__eq(T_c)),V_f_2)),V_g_2))) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_enum__all,axiom,
% 199.17/199.19 ! [V_Pa_2,T_b] :
% 199.17/199.19 ( class_Enum_Oenum(T_b)
% 199.17/199.19 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2))
% 199.17/199.19 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_all__code,axiom,
% 199.17/199.19 ! [V_Pa_2,T_b] :
% 199.17/199.19 ( class_Enum_Oenum(T_b)
% 199.17/199.19 => ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 199.17/199.19 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_enum__all__prod__def,axiom,
% 199.17/199.19 ! [V_Pa_2,T_b,T_c] :
% 199.17/199.19 ( ( class_Enum_Oenum(T_c)
% 199.17/199.19 & class_Enum_Oenum(T_b) )
% 199.17/199.19 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_Pa_2))
% 199.17/199.19 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__all(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__ball__nth,axiom,
% 199.17/199.19 ! [V_Pa_2,V_xs_2,T_b,V_na_2] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.19 => ( ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 199.17/199.19 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2))) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_sorted_OCons,axiom,
% 199.17/199.19 ! [V_x_2,V_xs_2,T_b] :
% 199.17/199.19 ( class_Orderings_Olinorder(T_b)
% 199.17/199.19 => ( ! [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) )
% 199.17/199.19 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 199.17/199.19 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__ex__length,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b] :
% 199.17/199.19 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 199.17/199.19 <=> ? [B_n] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.19 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_in__set__conv__decomp__first,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 <=> ? [B_ys] :
% 199.17/199.19 ( ? [B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs))
% 199.17/199.19 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__ex__simps_I2_J,axiom,
% 199.17/199.19 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__ex__append,axiom,
% 199.17/199.19 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 199.17/199.19 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 199.17/199.19 <=> ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 199.17/199.19 | c_List_Olist__ex(T_b,V_Pa_2,V_ys_2) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__ex__iff,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b] :
% 199.17/199.19 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 199.17/199.19 <=> ? [B_x] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__ex__rev,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b] :
% 199.17/199.19 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 199.17/199.19 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__ex__simps_I1_J,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 199.17/199.19 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 199.17/199.19 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 199.17/199.19 | c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_in__set__conv__decomp,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 <=> ? [B_ys,B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs)) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_in__set__conv__decomp__last,axiom,
% 199.17/199.19 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.19 <=> ? [B_ys,B_zs] :
% 199.17/199.19 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs))
% 199.17/199.19 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_list__all__length,axiom,
% 199.17/199.19 ! [V_xs_2,V_Pa_2,T_b] :
% 199.17/199.19 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 199.17/199.19 <=> ! [B_n] :
% 199.17/199.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 199.17/199.19 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 199.17/199.19
% 199.17/199.19 fof(fact_measure__function__int,axiom,
% 199.17/199.19 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))) ).
% 199.17/199.19
% 199.17/199.20 fof(fact_list__all__simps_I2_J,axiom,
% 199.17/199.20 ! [V_Pa_2,T_b] : c_List_Olist__all(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_list__all__append,axiom,
% 199.17/199.20 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 199.17/199.20 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 199.17/199.20 <=> ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 199.17/199.20 & c_List_Olist__all(T_b,V_Pa_2,V_ys_2) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_measure__size,axiom,
% 199.17/199.20 ! [T_b] :
% 199.17/199.20 ( class_Nat_Osize(T_b)
% 199.17/199.20 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_is__measure_Ointros,axiom,
% 199.17/199.20 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_is__measure_Oequations,axiom,
% 199.17/199.20 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_is__measure_Osimps,axiom,
% 199.17/199.20 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_list__all__iff,axiom,
% 199.17/199.20 ! [V_xs_2,V_Pa_2,T_b] :
% 199.17/199.20 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 199.17/199.20 <=> ! [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.20 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_measure__fst,axiom,
% 199.17/199.20 ! [T_c,V_f_2,T_b] :
% 199.17/199.20 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 199.17/199.20 => c_FunDef_Ois__measure(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBB(T_b,tc_Nat_Onat,tc_prod(T_b,T_c)),V_f_2),c_Product__Type_Ofst(T_b,T_c))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_measure__snd,axiom,
% 199.17/199.20 ! [T_c,V_f_2,T_b] :
% 199.17/199.20 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 199.17/199.20 => c_FunDef_Ois__measure(tc_prod(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,tc_Nat_Onat,tc_prod(T_c,T_b)),V_f_2),c_Product__Type_Osnd(T_c,T_b))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_list__all__rev,axiom,
% 199.17/199.20 ! [V_xs_2,V_Pa_2,T_b] :
% 199.17/199.20 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 199.17/199.20 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_list__all__simps_I1_J,axiom,
% 199.17/199.20 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 199.17/199.20 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 199.17/199.20 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 199.17/199.20 & c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_Ball__set__list__all,axiom,
% 199.17/199.20 ! [V_Pa_2,V_xs_2,T_b] :
% 199.17/199.20 ( ! [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.20 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 199.17/199.20 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_list__all__iff__raw,axiom,
% 199.17/199.20 ! [V_xs_2,V_Pa_2,T_b] :
% 199.17/199.20 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 199.17/199.20 <=> ! [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.20 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_list__ex1__simps_I2_J,axiom,
% 199.17/199.20 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 199.17/199.20 ( c_List_Olist__ex1(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 199.17/199.20 <=> ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 199.17/199.20 => c_List_Olist__all(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2))),hAPP(c_fequal,V_x_2)),V_xs_2) )
% 199.17/199.20 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 199.17/199.20 => c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_transfer__morphism__int__nat,axiom,
% 199.17/199.20 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)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_list__ex1__simps_I1_J,axiom,
% 199.17/199.20 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex1(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bool_Osize_I3_J,axiom,
% 199.17/199.20 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bool_Osize_I4_J,axiom,
% 199.17/199.20 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_list__ex1__iff,axiom,
% 199.17/199.20 ! [V_xs_2,V_Pa_2,T_b] :
% 199.17/199.20 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 199.17/199.20 <=> ? [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.20 & hBOOL(hAPP(V_Pa_2,B_x))
% 199.17/199.20 & ! [B_y] :
% 199.17/199.20 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.20 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 199.17/199.20 => B_y = B_x ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 199.17/199.20 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 199.17/199.20 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 199.17/199.20 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohit__bound(T_b) )
% 199.17/199.20 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 199.17/199.20 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 199.17/199.20 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 199.17/199.20 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 199.17/199.20 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Oempty(T_b) )
% 199.17/199.20 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 199.17/199.20 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 199.17/199.20 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Oneg__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Oneg__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 199.17/199.20 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Opos__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 199.17/199.20 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Oneg__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,V_i_2),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 199.17/199.20 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_pos__empty__def,axiom,
% 199.17/199.20 ! [V_seed_2,V_size_2,V_nrandom_2,T_b] : c_New__Random__Sequence_Opos__empty(T_b,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__empty(T_b) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_neg__bind__def,axiom,
% 199.17/199.20 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 199.17/199.20 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Opos__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,V_i_2)),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_neg__map__def,axiom,
% 199.17/199.20 ! [V_Pa_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Oneg__map(T_c,T_b,V_f_2,V_Pa_2) = c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),T_c,c_New__Random__Sequence_Oneg__single(T_b)),V_f_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_neg__single__def,axiom,
% 199.17/199.20 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__single(T_b,V_x_2) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_pos__bind__def,axiom,
% 199.17/199.20 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 199.17/199.20 ! [V_i_1,V_x,T_a] : hAPP(c_New__DSequence_Oneg__single(T_a,V_x),V_i_1) = c_Lazy__Sequence_Ohb__single(T_a,V_x) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_pos__map__def,axiom,
% 199.17/199.20 ! [V_Pa_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Opos__map(T_c,T_b,V_f_2,V_Pa_2) = c_New__Random__Sequence_Opos__bind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),T_c,c_New__Random__Sequence_Opos__single(T_b)),V_f_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_pos__single__def,axiom,
% 199.17/199.20 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__single(T_b,V_x_2) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_length__splice,axiom,
% 199.17/199.20 ! [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)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_splice_Osimps_I3_J,axiom,
% 199.17/199.20 ! [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))) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_splice__Nil2,axiom,
% 199.17/199.20 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ).
% 199.17/199.20
% 199.17/199.20 fof(fact_splice_Osimps_I1_J,axiom,
% 199.17/199.20 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ).
% 199.17/199.20
% 199.17/199.20 fof(fact_splice_Osimps_I2_J,axiom,
% 199.17/199.20 ! [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) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_New__DSequence_Opos__single__def,axiom,
% 199.17/199.20 ! [V_i_1,V_x,T_a] : hAPP(c_New__DSequence_Opos__single(T_a,V_x),V_i_1) = hAPP(c_Lazy__Sequence_Osingle(T_a),V_x) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_acyclicP__converse,axiom,
% 199.17/199.20 ! [V_r_2,T_b] :
% 199.17/199.20 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_Predicate_Oconversep(T_b,T_b,V_r_2))))
% 199.17/199.20 <=> c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_converse__meet,axiom,
% 199.17/199.20 ! [V_s_2,V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Predicate_Oconversep(T_c,T_b,V_r_2)),c_Predicate_Oconversep(T_c,T_b,V_s_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_converse__join,axiom,
% 199.17/199.20 ! [V_s_2,V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Predicate_Oconversep(T_c,T_b,V_r_2)),c_Predicate_Oconversep(T_c,T_b,V_s_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_conversep__noteq,axiom,
% 199.17/199.20 ! [V_y_2,V_x_2,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_b,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot)),c_fequal)),V_x_2),V_y_2))
% 199.17/199.20 <=> V_x_2 != V_y_2 ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_conversep__eq,axiom,
% 199.17/199.20 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ).
% 199.17/199.20
% 199.17/199.20 fof(fact_conversep__conversep,axiom,
% 199.17/199.20 ! [V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,c_Predicate_Oconversep(T_b,T_c,V_r_2)) = V_r_2 ).
% 199.17/199.20
% 199.17/199.20 fof(fact_conversep__iff,axiom,
% 199.17/199.20 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 199.17/199.20 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_conversep_Oequations,axiom,
% 199.17/199.20 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2))
% 199.17/199.20 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_conversep_Ointros,axiom,
% 199.17/199.20 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_conversepD,axiom,
% 199.17/199.20 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 199.17/199.20 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_converse__pred__comp,axiom,
% 199.17/199.20 ! [V_s_2,V_r_2,T_d,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,c_Predicate_Opred__comp(T_c,T_d,T_b,V_r_2,V_s_2)) = c_Predicate_Opred__comp(T_b,T_d,T_c,c_Predicate_Oconversep(T_d,T_b,V_s_2),c_Predicate_Oconversep(T_c,T_d,V_r_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_conversep__converse__eq,axiom,
% 199.17/199.20 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2),V_y_2))
% 199.17/199.20 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_,axiom,
% 199.17/199.20 ! [V_s2_2,V_s1_2,T_c,T_b] : c_Lazy__Sequence_Oproduct(T_b,T_c,V_s1_2,V_s2_2) = hAPP(c_Lazy__Sequence_Obind(T_b,tc_prod(T_b,T_c),V_s1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c))),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c)),T_b),c_Lazy__Sequence_Obind(T_c,tc_prod(T_b,T_c),V_s2_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c)),T_c),c_Lazy__Sequence_Osingle(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_tl__replicate,axiom,
% 199.17/199.20 ! [V_x,T_a,V_n] :
% 199.17/199.20 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.20 => 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) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_replicate__length__filter,axiom,
% 199.17/199.20 ! [V_xs_2,V_x_2,T_b] : c_List_Oreplicate(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(c_fequal,V_x_2)),V_xs_2)),V_x_2) = hAPP(c_List_Ofilter(T_b,hAPP(c_fequal,V_x_2)),V_xs_2) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_length__replicate,axiom,
% 199.17/199.20 ! [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 ).
% 199.17/199.20
% 199.17/199.20 fof(fact_map__replicate__const,axiom,
% 199.17/199.20 ! [V_lst_2,V_k_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_k_2)),V_lst_2) = c_List_Oreplicate(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_lst_2),V_k_2) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_replicate__app__Cons__same,axiom,
% 199.17/199.20 ! [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)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_replicate__Suc,axiom,
% 199.17/199.20 ! [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)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_rev__replicate,axiom,
% 199.17/199.20 ! [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) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_drop__replicate,axiom,
% 199.17/199.20 ! [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) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_hd__replicate,axiom,
% 199.17/199.20 ! [V_x,T_a,V_n] :
% 199.17/199.20 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.20 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_last__replicate,axiom,
% 199.17/199.20 ! [V_x,T_a,V_n] :
% 199.17/199.20 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.20 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_take__replicate,axiom,
% 199.17/199.20 ! [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) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_zip__replicate,axiom,
% 199.17/199.20 ! [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)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_Ball__set__replicate,axiom,
% 199.17/199.20 ! [V_Pa_2,V_a_2,V_na_2,T_b] :
% 199.17/199.20 ( ! [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_na_2,V_a_2))))
% 199.17/199.20 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 199.17/199.20 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 199.17/199.20 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_Bex__set__replicate,axiom,
% 199.17/199.20 ! [V_Pa_2,V_a_2,V_na_2,T_b] :
% 199.17/199.20 ( ? [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_na_2,V_a_2))))
% 199.17/199.20 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 199.17/199.20 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 199.17/199.20 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_replicate__eq__replicate,axiom,
% 199.17/199.20 ! [V_y_2,V_na_2,V_x_2,V_m_2,T_b] :
% 199.17/199.20 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_na_2,V_y_2)
% 199.17/199.20 <=> ( V_m_2 = V_na_2
% 199.17/199.20 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.20 => V_x_2 = V_y_2 ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_nth__replicate,axiom,
% 199.17/199.20 ! [V_x,T_a,V_n,V_i] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 199.17/199.20 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_append__replicate__commute,axiom,
% 199.17/199.20 ! [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)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_replicate__add,axiom,
% 199.17/199.20 ! [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)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_filter__replicate,axiom,
% 199.17/199.20 ! [V_na_2,T_b,V_x_2,V_Pa_2] :
% 199.17/199.20 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 199.17/199.20 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oreplicate(T_b,V_na_2,V_x_2)) = c_List_Oreplicate(T_b,V_na_2,V_x_2) )
% 199.17/199.20 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 199.17/199.20 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oreplicate(T_b,V_na_2,V_x_2)) = c_List_Olist_ONil(T_b) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_concat__replicate__trivial,axiom,
% 199.17/199.20 ! [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) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_replicate__empty,axiom,
% 199.17/199.20 ! [V_x_2,V_na_2,T_b] :
% 199.17/199.20 ( c_List_Oreplicate(T_b,V_na_2,V_x_2) = c_List_Olist_ONil(T_b)
% 199.17/199.20 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_empty__replicate,axiom,
% 199.17/199.20 ! [V_x_2,V_na_2,T_b] :
% 199.17/199.20 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_na_2,V_x_2)
% 199.17/199.20 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_replicate__0,axiom,
% 199.17/199.20 ! [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) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_map__replicate,axiom,
% 199.17/199.20 ! [V_x_2,V_na_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oreplicate(T_c,V_na_2,V_x_2)) = c_List_Oreplicate(T_b,V_na_2,hAPP(V_f_2,V_x_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_in__set__replicate,axiom,
% 199.17/199.20 ! [V_y_2,V_na_2,V_x_2,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_na_2,V_y_2))))
% 199.17/199.20 <=> ( V_x_2 = V_y_2
% 199.17/199.20 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_replicate__append__same,axiom,
% 199.17/199.20 ! [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)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_map__replicate__trivial,axiom,
% 199.17/199.20 ! [V_i_2,V_x_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_COMBK(T_b,tc_Nat_Onat),V_x_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2)) = c_List_Oreplicate(T_b,V_i_2,V_x_2) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_set__replicate,axiom,
% 199.17/199.20 ! [V_x_2,T_b,V_na_2] :
% 199.17/199.20 ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.20 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_na_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_set__replicate__conv__if,axiom,
% 199.17/199.20 ! [V_x_2,T_b,V_na_2] :
% 199.17/199.20 ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.20 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_na_2,V_x_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 199.17/199.20 & ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.20 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_na_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_set__replicate__Suc,axiom,
% 199.17/199.20 ! [V_x_2,V_na_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,hAPP(c_Nat_OSuc,V_na_2),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_small__lazy__list_Osimps,axiom,
% 199.17/199.20 ! [V_d_2,T_b] :
% 199.17/199.20 ( class_Lazy__Sequence_Osmall__lazy(T_b)
% 199.17/199.20 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_b),V_d_2) = c_Lazy__Sequence_Oappend(tc_List_Olist(T_b),hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)),hAPP(c_Lazy__Sequence_Obind(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),c_Lazy__Sequence_Oproduct(T_b,tc_List_Olist(T_b),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Lazy__Sequence_Osingle(tc_List_Olist(T_b)))),c_List_Olist_OCons(T_b))))),c_Lazy__Sequence_Oempty(tc_List_Olist(T_b)))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_eq__comp__r,axiom,
% 199.17/199.20 ! [V_R_2,T_b] : c_Predicate_Opred__comp(T_b,T_b,T_b,c_fequal,c_Predicate_Opred__comp(T_b,T_b,T_b,V_R_2,c_fequal)) = V_R_2 ).
% 199.17/199.20
% 199.17/199.20 fof(fact_small__lazy__prod__def,axiom,
% 199.17/199.20 ! [V_d,T_b,T_a] :
% 199.17/199.20 ( ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 199.17/199.20 & class_Lazy__Sequence_Osmall__lazy(T_b) )
% 199.17/199.20 => 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)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_New__DSequence_Opos__union__def,axiom,
% 199.17/199.20 ! [V_i_2,V_yq_2,V_xq_2,T_b] : hAPP(c_New__DSequence_Opos__union(T_b,V_xq_2,V_yq_2),V_i_2) = c_Lazy__Sequence_Oappend(T_b,hAPP(V_xq_2,V_i_2),hAPP(V_yq_2,V_i_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_lazy__sequence_Osize_I4_J,axiom,
% 199.17/199.20 ! [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))) ).
% 199.17/199.20
% 199.17/199.20 fof(fact__01,axiom,
% 199.17/199.20 ! [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)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_lazy__sequence_Oinject,axiom,
% 199.17/199.20 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] :
% 199.17/199.20 ( c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_H_2,V_lazy__sequence_H_2)
% 199.17/199.20 <=> ( V_a_2 = V_a_H_2
% 199.17/199.20 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_pos__union__def,axiom,
% 199.17/199.20 ! [V_seed_2,V_size_2,V_nrandom_2,V_R2_2,V_R1_2,T_b] : c_New__Random__Sequence_Opos__union(T_b,V_R1_2,V_R2_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__union(T_b,hAPP(hAPP(hAPP(V_R1_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(hAPP(V_R2_2,V_nrandom_2),V_size_2),V_seed_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_lazy__sequence_Osize_I2_J,axiom,
% 199.17/199.20 ! [V_lazy__sequence_2,V_a_2,V_fa_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),V_lazy__sequence_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_small__lazy_H_Osimps,axiom,
% 199.17/199.20 ! [V_i,V_d] :
% 199.17/199.20 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 199.17/199.20 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 199.17/199.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 199.17/199.20 => 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)))) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_small__lazy_H_Opsimps,axiom,
% 199.17/199.20 ! [V_i_2,V_d_2] :
% 199.17/199.20 ( 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)))
% 199.17/199.20 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 199.17/199.20 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 199.17/199.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 199.17/199.20 => 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)))) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_small__lazy__int__def,axiom,
% 199.17/199.20 ! [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)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_small__lazy_H_Opinduct,axiom,
% 199.17/199.20 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 199.17/199.20 ( 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)))
% 199.17/199.20 => ( ! [B_d,B_i] :
% 199.17/199.20 ( 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)))
% 199.17/199.20 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 199.17/199.20 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) )
% 199.17/199.20 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),B_i)) ) )
% 199.17/199.20 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_size__code,axiom,
% 199.17/199.20 ! [V_xq_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_b)),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),T_b),hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_b)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_lazy__sequence__size__code,axiom,
% 199.17/199.20 ! [V_xq_2,V_s_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_s_2),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),hAPP(hAPP(c_COMBC(T_b,tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),T_b),c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),T_b),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),T_b),c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),T_b),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_s_2))),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_s_2))))),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_seq__case,axiom,
% 199.17/199.20 ! [V_xq_2,V_g_2,V_f_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f_2,V_g_2,V_xq_2) = c_Option_Ooption_Ooption__case(T_b,tc_prod(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c)),V_f_2,hAPP(c_Product__Type_Oprod_Oprod__case(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c),T_b),V_g_2),hAPP(c_Lazy__Sequence_Oyield(T_c),V_xq_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_yieldn__def,axiom,
% 199.17/199.20 ! [T_b] : c_Lazy__Sequence_Oyieldn(T_b) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(T_b),T_b,c_Lazy__Sequence_Oyield(T_b)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_lazy__sequence_Osimps_I5_J,axiom,
% 199.17/199.20 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_refl__on__INTER,axiom,
% 199.17/199.20 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 199.17/199.20 ( ! [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 199.17/199.20 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 199.17/199.20 => c_Relation_Orefl__on(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_S_2),V_r_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_in__set__member,axiom,
% 199.17/199.20 ! [V_xs_2,V_x_2,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.20 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_member__rec_I2_J,axiom,
% 199.17/199.20 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_member__set,axiom,
% 199.17/199.20 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_member__rec_I1_J,axiom,
% 199.17/199.20 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_y_2))
% 199.17/199.20 <=> ( V_x_2 = V_y_2
% 199.17/199.20 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_List_Omember__def,axiom,
% 199.17/199.20 ! [V_x_2,V_xs_2,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2))
% 199.17/199.20 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_list__ex1__iff__raw,axiom,
% 199.17/199.20 ! [V_xs_2,V_Pa_2,T_b] :
% 199.17/199.20 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 199.17/199.20 <=> ? [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.20 & hBOOL(hAPP(V_Pa_2,B_x))
% 199.17/199.20 & ! [B_y] :
% 199.17/199.20 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.20 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 199.17/199.20 => B_y = B_x ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_setsum__UNION__zero,axiom,
% 199.17/199.20 ! [V_f_2,V_S_2,T_b,T_c] :
% 199.17/199.20 ( class_Groups_Ocomm__monoid__add(T_c)
% 199.17/199.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2))
% 199.17/199.20 => ( ! [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2))
% 199.17/199.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 199.17/199.20 => ( ! [B_T1] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2))
% 199.17/199.20 => ! [B_T2] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2))
% 199.17/199.20 => ( B_T1 != B_T2
% 199.17/199.20 => ! [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2))
% 199.17/199.20 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) )
% 199.17/199.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2)),V_S_2) ) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_THE__default__def,axiom,
% 199.17/199.20 ! [V_d_2,T_b,V_Pa_2] :
% 199.17/199.20 ( ( ? [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(V_Pa_2,B_x))
% 199.17/199.20 & ! [B_y] :
% 199.17/199.20 ( hBOOL(hAPP(V_Pa_2,B_y))
% 199.17/199.20 => B_y = B_x ) )
% 199.17/199.20 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) )
% 199.17/199.20 & ( ~ ? [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(V_Pa_2,B_x))
% 199.17/199.20 & ! [B_y] :
% 199.17/199.20 ( hBOOL(hAPP(V_Pa_2,B_y))
% 199.17/199.20 => B_y = B_x ) )
% 199.17/199.20 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = V_d_2 ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_SUP2__E,axiom,
% 199.17/199.20 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 199.17/199.20 => ~ ! [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.20 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_INF2__I,axiom,
% 199.17/199.20 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,T_b] :
% 199.17/199.20 ( ! [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.20 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) )
% 199.17/199.20 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_finite__maxlen,axiom,
% 199.17/199.20 ! [V_M_2,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2))
% 199.17/199.20 => ? [B_n] :
% 199.17/199.20 ! [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),B_x)),B_n)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_lazy__sequence_Osize_I3_J,axiom,
% 199.17/199.20 ! [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) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_lazy__sequence_Osize_I1_J,axiom,
% 199.17/199.20 ! [V_fa_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OEmpty(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(fact__02,axiom,
% 199.17/199.20 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ).
% 199.17/199.20
% 199.17/199.20 fof(fact_lazy__sequence_Osimps_I3_J,axiom,
% 199.17/199.20 ! [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) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_lazy__sequence_Osimps_I2_J,axiom,
% 199.17/199.20 ! [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) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_lazy__sequence_Osimps_I4_J,axiom,
% 199.17/199.20 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = V_f1_2 ).
% 199.17/199.20
% 199.17/199.20 fof(fact_list__all__iff__all__interval__int,axiom,
% 199.17/199.20 ! [V_j_2,V_i_2,V_Pa_2] :
% 199.17/199.20 ( c_List_Olist__all(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 199.17/199.20 <=> c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_list__ex__iff__not__all__inverval__int,axiom,
% 199.17/199.20 ! [V_j_2,V_i_2,V_Pa_2] :
% 199.17/199.20 ( c_List_Olist__ex(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 199.17/199.20 <=> ~ c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint,c_fNot),V_Pa_2),V_i_2,V_j_2) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_all__interval__int__def,axiom,
% 199.17/199.20 ! [V_j_2,V_i_2,V_Pa_2] :
% 199.17/199.20 ( c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2)
% 199.17/199.20 <=> ! [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2)))
% 199.17/199.20 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_code__numeral_Orecs_I2_J,axiom,
% 199.17/199.20 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(hAPP(V_f2_2,V_code__numeral_2),c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,V_code__numeral_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_Random_Osimps,axiom,
% 199.17/199.20 ! [V_size_2,V_g_2,T_b,V_nrandom_2] :
% 199.17/199.20 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)))
% 199.17/199.20 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) )
% 199.17/199.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)))
% 199.17/199.20 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm)),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(V_g_2,V_size_2)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random__Sequence_ORandom(T_b,V_g_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_size_2))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Ounion(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Osingle(T_b)),c_Product__Type_Ofst(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))))))) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_code__numeral_Orecs_I1_J,axiom,
% 199.17/199.20 ! [V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ).
% 199.17/199.20
% 199.17/199.20 fof(fact_Random__Sequence_Oempty__def,axiom,
% 199.17/199.20 ! [V_size_2,V_nrandom_2,T_b] : c_Random__Sequence_Oempty(T_b,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_Random__Sequence_Osingle__def,axiom,
% 199.17/199.20 ! [V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(T_b),V_x_2),V_nrandom_2),V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_DSequence_Osingle(T_b),V_x_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_Random__Sequence_Omap__def,axiom,
% 199.17/199.20 ! [V_Pa_2,V_f_2,T_b,T_c] : c_Random__Sequence_Omap(T_c,T_b,V_f_2,V_Pa_2) = c_Random__Sequence_Obind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))))),T_c,c_Random__Sequence_Osingle(T_b)),V_f_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_exE__realizer,axiom,
% 199.17/199.20 ! [T_d,V_f_2,V_Q_2,V_p_2,T_b,T_c,V_Pa_2] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2)),hAPP(c_Product__Type_Ofst(T_c,T_b),V_p_2)))
% 199.17/199.20 => ( ! [B_x,B_y] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(V_Pa_2,B_y),B_x))
% 199.17/199.20 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(V_f_2,B_x),B_y))) )
% 199.17/199.20 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_d),V_f_2),V_p_2))) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_Image__Collect__split,axiom,
% 199.17/199.20 ! [V_A_2,V_Pa_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_Pa_2))),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Pa_2)))) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_lexord__trans,axiom,
% 199.17/199.20 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_z_2)),c_List_Olexord(T_b,V_r_2)))
% 199.17/199.20 => ( c_Relation_Otrans(T_b,V_r_2)
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_z_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_trans__less__than,axiom,
% 199.17/199.20 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_trans__lex__prod,axiom,
% 199.17/199.20 ! [V_R2_2,T_c,V_R1_2,T_b] :
% 199.17/199.20 ( c_Relation_Otrans(T_b,V_R1_2)
% 199.17/199.20 => ( c_Relation_Otrans(T_c,V_R2_2)
% 199.17/199.20 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_transD,axiom,
% 199.17/199.20 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Otrans(T_b,V_r_2)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),V_r_2)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_trans__def,axiom,
% 199.17/199.20 ! [V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Otrans(T_b,V_r_2)
% 199.17/199.20 <=> ! [B_x,B_y] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 199.17/199.20 => ! [B_z] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_z)),V_r_2))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_z)),V_r_2)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_trans__rtrancl,axiom,
% 199.17/199.20 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_trans__Id__on,axiom,
% 199.17/199.20 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_trans__trancl,axiom,
% 199.17/199.20 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_trancl__id,axiom,
% 199.17/199.20 ! [V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Otrans(T_b,V_r_2)
% 199.17/199.20 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_trans__Id,axiom,
% 199.17/199.20 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_trans__finite__psubset,axiom,
% 199.17/199.20 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_lexord__transI,axiom,
% 199.17/199.20 ! [V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Otrans(T_b,V_r_2)
% 199.17/199.20 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_trans__converse,axiom,
% 199.17/199.20 ! [V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 199.17/199.20 <=> c_Relation_Otrans(T_b,V_r_2) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bex__empty,axiom,
% 199.17/199.20 ! [V_Pa_2,T_b] :
% 199.17/199.20 ~ ? [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 199.17/199.20 & hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_listrel__trans,axiom,
% 199.17/199.20 ! [V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Otrans(T_b,V_r_2)
% 199.17/199.20 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_finite__Collect__bex,axiom,
% 199.17/199.20 ! [V_Q_2,T_c,V_A_2,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),V_Q_2)))))
% 199.17/199.20 <=> ! [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Q_2),B_x)))) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bex__UNIV,axiom,
% 199.17/199.20 ! [V_Pa_2,T_b] :
% 199.17/199.20 ( ? [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 199.17/199.20 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 199.17/199.20 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_trans__Int,axiom,
% 199.17/199.20 ! [V_s_2,V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Otrans(T_b,V_r_2)
% 199.17/199.20 => ( c_Relation_Otrans(T_b,V_s_2)
% 199.17/199.20 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_SUPR__bool__eq,axiom,
% 199.17/199.20 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_trans__O__subset,axiom,
% 199.17/199.20 ! [V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Otrans(T_b,V_r_2)
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),V_r_2)),V_r_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_trans__inv__image,axiom,
% 199.17/199.20 ! [V_f_2,T_c,V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Otrans(T_b,V_r_2)
% 199.17/199.20 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_trans__reflclI,axiom,
% 199.17/199.20 ! [V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Otrans(T_b,V_r_2)
% 199.17/199.20 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_Union__eq,axiom,
% 199.17/199.20 ! [V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))),c_member(T_b)))) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_Bex__set__list__ex,axiom,
% 199.17/199.20 ! [V_Pa_2,V_xs_2,T_b] :
% 199.17/199.20 ( ? [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.20 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 199.17/199.20 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_list__ex__iff__raw,axiom,
% 199.17/199.20 ! [V_xs_2,V_Pa_2,T_b] :
% 199.17/199.20 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 199.17/199.20 <=> ? [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 199.17/199.20 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_UN__eq,axiom,
% 199.17/199.20 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_fequal)),V_B_2))))) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_INT__eq,axiom,
% 199.17/199.20 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_fequal)),V_B_2))))) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_Sup__apply,axiom,
% 199.17/199.20 ! [V_x_2,V_A_2,T_c,T_b] :
% 199.17/199.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 199.17/199.20 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_Sup__fun__def,axiom,
% 199.17/199.20 ! [V_x_2,V_A_2,T_c,T_b] :
% 199.17/199.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 199.17/199.20 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_Inf__apply,axiom,
% 199.17/199.20 ! [V_x_2,V_A_2,T_c,T_b] :
% 199.17/199.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 199.17/199.20 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_Inf__fun__def,axiom,
% 199.17/199.20 ! [V_x_2,V_A_2,T_c,T_b] :
% 199.17/199.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 199.17/199.20 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_max__extp_Ointros,axiom,
% 199.17/199.20 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 199.17/199.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 199.17/199.20 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.20 => ( ! [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 199.17/199.20 => ? [B_xa] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 199.17/199.20 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) )
% 199.17/199.20 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_transp__def,axiom,
% 199.17/199.20 ! [V_r_2,T_b] :
% 199.17/199.20 ( c_Predicate_Otransp(T_b,V_r_2)
% 199.17/199.20 <=> c_Relation_Otrans(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_transpE,axiom,
% 199.17/199.20 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 199.17/199.20 ( c_Predicate_Otransp(T_b,V_r_2)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2))
% 199.17/199.20 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_equivp__reflp__symp__transp,axiom,
% 199.17/199.20 ! [V_R_2,T_b] :
% 199.17/199.20 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 199.17/199.20 <=> ( c_Predicate_Oreflp(T_b,V_R_2)
% 199.17/199.20 & c_Predicate_Osymp(T_b,V_R_2)
% 199.17/199.20 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_equivpI,axiom,
% 199.17/199.20 ! [V_R_2,T_b] :
% 199.17/199.20 ( c_Predicate_Oreflp(T_b,V_R_2)
% 199.17/199.20 => ( c_Predicate_Osymp(T_b,V_R_2)
% 199.17/199.20 => ( c_Predicate_Otransp(T_b,V_R_2)
% 199.17/199.20 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_sympE,axiom,
% 199.17/199.20 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 199.17/199.20 ( c_Predicate_Osymp(T_b,V_r_2)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 199.17/199.20 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_equivpE,axiom,
% 199.17/199.20 ! [V_R_2,T_b] :
% 199.17/199.20 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 199.17/199.20 => ~ ( c_Predicate_Oreflp(T_b,V_R_2)
% 199.17/199.20 => ( c_Predicate_Osymp(T_b,V_R_2)
% 199.17/199.20 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_max__extp_Osimps,axiom,
% 199.17/199.20 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 199.17/199.20 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 199.17/199.20 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 199.17/199.20 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 199.17/199.20 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.20 & ! [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 199.17/199.20 => ? [B_xa] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 199.17/199.20 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_trans__diff__Id,axiom,
% 199.17/199.20 ! [V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Otrans(T_b,V_r_2)
% 199.17/199.20 => ( c_Relation_Oantisym(T_b,V_r_2)
% 199.17/199.20 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_antisym__Id__on,axiom,
% 199.17/199.20 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_antisym__empty,axiom,
% 199.17/199.20 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_antisym__converse,axiom,
% 199.17/199.20 ! [V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 199.17/199.20 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_antisym__Id,axiom,
% 199.17/199.20 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_antisym__subset,axiom,
% 199.17/199.20 ! [V_s_2,V_r_2,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 199.17/199.20 => ( c_Relation_Oantisym(T_b,V_s_2)
% 199.17/199.20 => c_Relation_Oantisym(T_b,V_r_2) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_antisym__def,axiom,
% 199.17/199.20 ! [V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Oantisym(T_b,V_r_2)
% 199.17/199.20 <=> ! [B_x,B_y] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2))
% 199.17/199.20 => B_x = B_y ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_antisymD,axiom,
% 199.17/199.20 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Oantisym(T_b,V_r_2)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),V_r_2))
% 199.17/199.20 => V_a_2 = V_b_2 ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_antisym__reflcl,axiom,
% 199.17/199.20 ! [V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Oantisym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))
% 199.17/199.20 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_acyclic__impl__antisym__rtrancl,axiom,
% 199.17/199.20 ! [V_r_2,T_b] :
% 199.17/199.20 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 199.17/199.20 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_fun__lub__def,axiom,
% 199.17/199.20 ! [V_x_2,V_A_2,V_L_2,T_d,T_b,T_c] : c_Partial__Function_Ofun__lub(T_c,T_b,T_d,V_L_2,V_A_2,V_x_2) = hAPP(V_L_2,hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(tc_fun(T_d,T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),T_c),hAPP(c_COMBS(tc_fun(T_d,T_c),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_d,T_c)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_d,T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_d,T_c))),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_fun(T_d,T_c),T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_d,T_c),T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,tc_fun(T_d,T_c))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_d,T_c),T_d,T_c),c_COMBI(tc_fun(T_d,T_c))),V_x_2)))))) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_sym__trans__comp__subset,axiom,
% 199.17/199.20 ! [V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Osym(T_b,V_r_2)
% 199.17/199.20 => ( c_Relation_Otrans(T_b,V_r_2)
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2)),V_r_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_symD,axiom,
% 199.17/199.20 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Osym(T_b,V_r_2)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),V_r_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_sym__def,axiom,
% 199.17/199.20 ! [V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Osym(T_b,V_r_2)
% 199.17/199.20 <=> ! [B_x,B_y] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_sym__Int__converse,axiom,
% 199.17/199.20 ! [V_r_2,T_b] : c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_sym__rtrancl,axiom,
% 199.17/199.20 ! [V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Osym(T_b,V_r_2)
% 199.17/199.20 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_sym__Id__on,axiom,
% 199.17/199.20 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_sym__trancl,axiom,
% 199.17/199.20 ! [V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Osym(T_b,V_r_2)
% 199.17/199.20 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_sym__Un,axiom,
% 199.17/199.20 ! [V_s_2,V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Osym(T_b,V_r_2)
% 199.17/199.20 => ( c_Relation_Osym(T_b,V_s_2)
% 199.17/199.20 => c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_sym__Id,axiom,
% 199.17/199.20 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_sym__converse,axiom,
% 199.17/199.20 ! [V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 199.17/199.20 <=> c_Relation_Osym(T_b,V_r_2) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_sym__conv__converse__eq,axiom,
% 199.17/199.20 ! [V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Osym(T_b,V_r_2)
% 199.17/199.20 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_listrel__sym,axiom,
% 199.17/199.20 ! [V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Osym(T_b,V_r_2)
% 199.17/199.20 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_sym__Int,axiom,
% 199.17/199.20 ! [V_s_2,V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Osym(T_b,V_r_2)
% 199.17/199.20 => ( c_Relation_Osym(T_b,V_s_2)
% 199.17/199.20 => c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_sym__Un__converse,axiom,
% 199.17/199.20 ! [V_r_2,T_b] : c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_sym__inv__image,axiom,
% 199.17/199.20 ! [V_f_2,T_c,V_r_2,T_b] :
% 199.17/199.20 ( c_Relation_Osym(T_b,V_r_2)
% 199.17/199.20 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_equivE,axiom,
% 199.17/199.20 ! [V_r_2,V_A_2,T_b] :
% 199.17/199.20 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 199.17/199.20 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 199.17/199.20 => ( c_Relation_Osym(T_b,V_r_2)
% 199.17/199.20 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_equivI,axiom,
% 199.17/199.20 ! [V_r_2,V_A_2,T_b] :
% 199.17/199.20 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 199.17/199.20 => ( c_Relation_Osym(T_b,V_r_2)
% 199.17/199.20 => ( c_Relation_Otrans(T_b,V_r_2)
% 199.17/199.20 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_equiv__def,axiom,
% 199.17/199.20 ! [V_r_2,V_A_2,T_b] :
% 199.17/199.20 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 199.17/199.20 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 199.17/199.20 & c_Relation_Osym(T_b,V_r_2)
% 199.17/199.20 & c_Relation_Otrans(T_b,V_r_2) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_symp__def,axiom,
% 199.17/199.20 ! [V_r_2,T_b] :
% 199.17/199.20 ( c_Predicate_Osymp(T_b,V_r_2)
% 199.17/199.20 <=> c_Relation_Osym(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_part__equivp__refl__symp__transp,axiom,
% 199.17/199.20 ! [V_R_2,T_b] :
% 199.17/199.20 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 199.17/199.20 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 199.17/199.20 & c_Predicate_Osymp(T_b,V_R_2)
% 199.17/199.20 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_part__equivpI,axiom,
% 199.17/199.20 ! [T_b,V_R_2] :
% 199.17/199.20 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 199.17/199.20 => ( c_Predicate_Osymp(T_b,V_R_2)
% 199.17/199.20 => ( c_Predicate_Otransp(T_b,V_R_2)
% 199.17/199.20 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_part__equivp__def,axiom,
% 199.17/199.20 ! [V_R_2,T_b] :
% 199.17/199.20 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 199.17/199.20 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 199.17/199.20 & ! [B_x,B_y] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 199.17/199.20 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 199.17/199.20 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y))
% 199.17/199.20 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_part__equivp__symp,axiom,
% 199.17/199.20 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 199.17/199.20 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 199.17/199.20 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_part__equivp__transp,axiom,
% 199.17/199.20 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 199.17/199.20 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 199.17/199.20 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_equivp__implies__part__equivp,axiom,
% 199.17/199.20 ! [V_R_2,T_b] :
% 199.17/199.20 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 199.17/199.20 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_part__equivpE,axiom,
% 199.17/199.20 ! [V_R_2,T_b] :
% 199.17/199.20 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 199.17/199.20 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 199.17/199.20 => ( c_Predicate_Osymp(T_b,V_R_2)
% 199.17/199.20 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_part__equivp__typedef,axiom,
% 199.17/199.20 ! [V_R_2,T_b] :
% 199.17/199.20 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 199.17/199.20 => ? [B_d] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBS(T_b,T_b,tc_HOL_Obool),V_R_2),c_COMBI(T_b))))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b)),c_fequal)),V_R_2))))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_inv__o__cancel,axiom,
% 199.17/199.20 ! [V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.20 => hAPP(c_Fun_Ocomp(T_c,T_b,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_b) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_inj__iff,axiom,
% 199.17/199.20 ! [V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.20 <=> hAPP(c_Fun_Ocomp(T_c,T_b,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_b) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_surj__imp__inj__inv,axiom,
% 199.17/199.20 ! [V_f_2,T_b,T_c] :
% 199.17/199.20 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.20 => c_Fun_Oinj__on(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_inv__image__comp,axiom,
% 199.17/199.20 ! [V_X_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.20 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_X_2)) = V_X_2 ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_image__inv__f__f,axiom,
% 199.17/199.20 ! [V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.20 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_inj__imp__surj__inv,axiom,
% 199.17/199.20 ! [V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.20 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_inv__def,axiom,
% 199.17/199.20 ! [V_y_2,V_f_2,T_c,T_b] : hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),V_y_2) = c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_y_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_inv__into__def,axiom,
% 199.17/199.20 ! [V_x_2,V_f_2,V_A_2,T_c,T_b] : hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_x_2))) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_inv__id,axiom,
% 199.17/199.20 ! [T_b] : c_Hilbert__Choice_Oinv__into(T_b,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Fun_Oid(T_b)) = c_Fun_Oid(T_b) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_inv__f__f,axiom,
% 199.17/199.20 ! [V_x_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.20 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_inv__f__eq,axiom,
% 199.17/199.20 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.20 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 199.17/199.20 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),V_y_2) = V_x_2 ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_inv__into__f__eq,axiom,
% 199.17/199.20 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 199.17/199.20 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 199.17/199.20 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_inv__into__f__f,axiom,
% 199.17/199.20 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 199.17/199.20 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_inv__into__injective,axiom,
% 199.17/199.20 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] :
% 199.17/199.20 ( hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 199.17/199.20 => V_x_2 = V_y_2 ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_inv__into__into,axiom,
% 199.17/199.20 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_x_2)),V_A_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_f__inv__into__f,axiom,
% 199.17/199.20 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 199.17/199.20 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_image__surj__f__inv__f,axiom,
% 199.17/199.20 ! [V_A_2,V_f_2,T_b,T_c] :
% 199.17/199.20 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.20 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)),V_A_2)) = V_A_2 ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_surj__f__inv__f,axiom,
% 199.17/199.20 ! [V_y_2,V_f_2,T_b,T_c] :
% 199.17/199.20 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.20 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),V_y_2)) = V_y_2 ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_surj__iff__all,axiom,
% 199.17/199.20 ! [V_f_2,T_b,T_c] :
% 199.17/199.20 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.20 <=> ! [B_x] : hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),B_x)) = B_x ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_image__inv__into__cancel,axiom,
% 199.17/199.20 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 199.17/199.20 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2))
% 199.17/199.20 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2)),V_B_H_2)) = V_B_H_2 ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_inv__into__image__cancel,axiom,
% 199.17/199.20 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2))
% 199.17/199.20 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = V_S_2 ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_inj__on__inv__into,axiom,
% 199.17/199.20 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 199.17/199.20 => c_Fun_Oinj__on(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_B_2) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_o__inv__o__cancel,axiom,
% 199.17/199.20 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.20 => hAPP(c_Fun_Ocomp(T_c,T_d,T_b,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))),V_f_2) = V_g_2 ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_inv__into__comp,axiom,
% 199.17/199.20 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))
% 199.17/199.20 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))))
% 199.17/199.20 => hAPP(c_Hilbert__Choice_Oinv__into(T_d,T_c,V_A_2,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Hilbert__Choice_Oinv__into(T_d,T_b,V_A_2,V_g_2)),c_Hilbert__Choice_Oinv__into(T_b,T_c,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_surj__iff,axiom,
% 199.17/199.20 ! [V_f_2,T_b,T_c] :
% 199.17/199.20 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.20 <=> hAPP(c_Fun_Ocomp(T_c,T_b,T_b,V_f_2),c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)) = c_Fun_Oid(T_b) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_inj__transfer,axiom,
% 199.17/199.20 ! [V_x_2,V_Pa_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.20 => ( ! [B_y] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 199.17/199.20 => hBOOL(hAPP(V_Pa_2,hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),B_y))) )
% 199.17/199.20 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_fold__image__UN__disjoint,axiom,
% 199.17/199.20 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] :
% 199.17/199.20 ( class_Groups_Ocomm__monoid__mult(T_d)
% 199.17/199.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2))
% 199.17/199.20 => ( ! [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 199.17/199.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 199.17/199.20 => ( ! [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 199.17/199.20 => ! [B_xa] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2))
% 199.17/199.20 => ( B_x != B_xa
% 199.17/199.20 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,B_x)),hAPP(V_A_2,B_xa)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) )
% 199.17/199.20 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),c_Groups_Oone__class_Oone(T_d)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),T_d,T_b),hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),c_Groups_Oone__class_Oone(T_d))),V_A_2)),c_Groups_Oone__class_Oone(T_d)),V_I_2) ) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_nat__of__induct,axiom,
% 199.17/199.20 ! [V_Pa_2,V_y_2] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 199.17/199.20 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Onat__of,B_x)))
% 199.17/199.20 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_nat__of__cases,axiom,
% 199.17/199.20 ! [V_y_2] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 199.17/199.20 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_of__nat__induct,axiom,
% 199.17/199.20 ! [V_x_2,V_Pa_2] :
% 199.17/199.20 ( ! [B_y] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 199.17/199.20 => hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) )
% 199.17/199.20 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_of__nat__cases,axiom,
% 199.17/199.20 ! [V_x_2] :
% 199.17/199.20 ~ ! [B_y] :
% 199.17/199.20 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y)
% 199.17/199.20 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_lazy__sequence_Orecs_I1_J,axiom,
% 199.17/199.20 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = V_f1_2 ).
% 199.17/199.20
% 199.17/199.20 fof(fact_beyond__def,axiom,
% 199.17/199.20 ! [V_l,V_k] :
% 199.17/199.20 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 199.17/199.20 => c_Quickcheck_Obeyond(V_k,V_l) = V_l )
% 199.17/199.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 199.17/199.20 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_beyond__zero,axiom,
% 199.17/199.20 ! [V_k] : c_Quickcheck_Obeyond(V_k,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_lazy__sequence_Orecs_I2_J,axiom,
% 199.17/199.20 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,V_lazy__sequence_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__image__Collect__eq,axiom,
% 199.17/199.20 ! [V_Pa_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 199.17/199.20 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)) = hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),V_Pa_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_curry__def,axiom,
% 199.17/199.20 ! [V_y_2,V_x_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_c_2),V_x_2),V_y_2) = hAPP(V_c_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_curryI,axiom,
% 199.17/199.20 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] :
% 199.17/199.20 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__betw__id,axiom,
% 199.17/199.20 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__betw__inv__into,axiom,
% 199.17/199.20 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 199.17/199.20 => c_Fun_Obij__betw(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_B_2,V_A_2) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_inv__into__inv__into__eq,axiom,
% 199.17/199.20 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 199.17/199.20 => hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_H_2,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2)),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_inv__inv__eq,axiom,
% 199.17/199.20 ! [V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 199.17/199.20 => c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)) = V_f_2 ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__imp__bij__inv,axiom,
% 199.17/199.20 ! [V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 199.17/199.20 => c_Fun_Obij__betw(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_o__inv__distrib,axiom,
% 199.17/199.20 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 199.17/199.20 => ( c_Fun_Obij__betw(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.20 => c_Hilbert__Choice_Oinv__into(T_d,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Hilbert__Choice_Oinv__into(T_d,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),V_g_2)),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__betw__comp__iff,axiom,
% 199.17/199.20 ! [V_A_H_H_2,V_f_H_2,T_d,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 199.17/199.20 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 199.17/199.20 <=> c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__betw__trans,axiom,
% 199.17/199.20 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 199.17/199.20 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2)
% 199.17/199.20 => c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),V_A_2,V_C_2) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__comp,axiom,
% 199.17/199.20 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 199.17/199.20 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 199.17/199.20 => c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__betw__comp__iff2,axiom,
% 199.17/199.20 ! [V_A_2,V_f_2,T_d,V_A_H_H_2,V_A_H_2,V_f_H_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_b,V_f_2),V_A_2)),V_A_H_2))
% 199.17/199.20 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2)
% 199.17/199.20 <=> c_Fun_Obij__betw(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_curry__conv,axiom,
% 199.17/199.20 ! [V_b_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_f_2),V_a_2),V_b_2) = hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_curryD,axiom,
% 199.17/199.20 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 199.17/199.20 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_curryE,axiom,
% 199.17/199.20 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 199.17/199.20 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bijI,axiom,
% 199.17/199.20 ! [V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.20 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 199.17/199.20 => c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__def,axiom,
% 199.17/199.20 ! [V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 199.17/199.20 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 199.17/199.20 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__betw__subset,axiom,
% 199.17/199.20 ! [V_B_H_2,V_B_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 199.17/199.20 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) = V_B_H_2
% 199.17/199.20 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__betw__imp__surj,axiom,
% 199.17/199.20 ! [V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 199.17/199.20 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__is__surj,axiom,
% 199.17/199.20 ! [V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 199.17/199.20 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_inj__on__imp__bij__betw,axiom,
% 199.17/199.20 ! [V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.20 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__betw__def,axiom,
% 199.17/199.20 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 199.17/199.20 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.20 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = V_B_2 ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__betw__imp__inj__on,axiom,
% 199.17/199.20 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 199.17/199.20 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__is__inj,axiom,
% 199.17/199.20 ! [V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 199.17/199.20 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__betw__the__inv__into,axiom,
% 199.17/199.20 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 199.17/199.20 => c_Fun_Obij__betw(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_B_2,V_A_2) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__betw__same__card,axiom,
% 199.17/199.20 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 199.17/199.20 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__betw__empty1,axiom,
% 199.17/199.20 ! [V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 199.17/199.20 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__betw__empty2,axiom,
% 199.17/199.20 ! [V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))
% 199.17/199.20 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__betw__finite,axiom,
% 199.17/199.20 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 199.17/199.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.20 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_BIJ,axiom,
% 199.17/199.20 ! [V_B_2,T_c,V_A_2,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 199.17/199.20 => ( ? [B_f] : c_Fun_Obij__betw(T_b,T_c,B_f,V_A_2,V_B_2)
% 199.17/199.20 <=> hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__betw__id__iff,axiom,
% 199.17/199.20 ! [V_B_2,V_A_2,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_B_2)
% 199.17/199.20 <=> V_A_2 = V_B_2 ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__id,axiom,
% 199.17/199.20 ! [T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__betw__combine,axiom,
% 199.17/199.20 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 199.17/199.20 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_C_2,V_D_2)
% 199.17/199.20 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 199.17/199.20 => c_Fun_Obij__betw(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__betw__Disj__Un,axiom,
% 199.17/199.20 ! [V_f_2,V_B_H_2,V_A_H_2,T_c,V_B_2,V_A_2,T_b] :
% 199.17/199.20 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 199.17/199.20 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_H_2),V_B_H_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 199.17/199.20 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 199.17/199.20 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2)
% 199.17/199.20 => c_Fun_Obij__betw(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_H_2),V_B_H_2)) ) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_finite__vimage__iff,axiom,
% 199.17/199.20 ! [V_F_2,V_h_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 199.17/199.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 199.17/199.20 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__image__Compl__eq,axiom,
% 199.17/199.20 ! [V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 199.17/199.20 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_split__curry,axiom,
% 199.17/199.20 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),c_Product__Type_Ocurry(T_b,T_c,T_d,V_f_2)) = V_f_2 ).
% 199.17/199.20
% 199.17/199.20 fof(fact_curry__split,axiom,
% 199.17/199.20 ! [V_f_2,T_d,T_c,T_b] : c_Product__Type_Ocurry(T_b,T_c,T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)) = V_f_2 ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__image__INT,axiom,
% 199.17/199.20 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 199.17/199.20 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Set_Oimage(T_b,T_c,V_f_2)),V_B_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_vimage__subset__eq,axiom,
% 199.17/199.20 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)),V_A_2))
% 199.17/199.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bij__vimage__eq__inv__image,axiom,
% 199.17/199.20 ! [V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 199.17/199.20 => hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_A_2) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_ex__bij__betw__nat__finite__1,axiom,
% 199.17/199.20 ! [V_M_2,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 199.17/199.20 => ? [B_h] : c_Fun_Obij__betw(tc_Nat_Onat,T_b,B_h,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_M_2)),V_M_2) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_Cantor__Bernstein,axiom,
% 199.17/199.20 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2))
% 199.17/199.20 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_B_2)),V_A_2))
% 199.17/199.20 => ? [B_h] : c_Fun_Obij__betw(T_b,T_c,B_h,V_A_2,V_B_2) ) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_ex__bij__betw__nat__finite,axiom,
% 199.17/199.20 ! [V_M_2,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 199.17/199.20 => ? [B_h] : c_Fun_Obij__betw(tc_Nat_Onat,T_b,B_h,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_M_2)),V_M_2) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_ex__bij__betw__finite__nat,axiom,
% 199.17/199.20 ! [V_M_2,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 199.17/199.20 => ? [B_h] : c_Fun_Obij__betw(T_b,tc_Nat_Onat,B_h,V_M_2,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_M_2))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_refl__on__UNION,axiom,
% 199.17/199.20 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 199.17/199.20 ( ! [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 199.17/199.20 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 199.17/199.20 => c_Relation_Orefl__on(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_S_2),V_r_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bex__reg__eqv,axiom,
% 199.17/199.20 ! [V_Pa_2,V_R_2,T_b] :
% 199.17/199.20 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 199.17/199.20 => ( ? [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 199.17/199.20 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 199.17/199.20 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_in__respects,axiom,
% 199.17/199.20 ! [V_R_2,V_x_2,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Quotient_ORespects(T_b,V_R_2)))
% 199.17/199.20 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_Respects__def,axiom,
% 199.17/199.20 ! [V_x_2,V_R_2,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(c_Quotient_ORespects(T_b,V_R_2),V_x_2))
% 199.17/199.20 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_bex__reg__right,axiom,
% 199.17/199.20 ! [V_Pa_2,V_Q_2,V_R_2,T_b] :
% 199.17/199.20 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 199.17/199.20 => ( ! [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(V_Q_2,B_x))
% 199.17/199.20 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 199.17/199.20 => ( ? [B_x1] : hBOOL(hAPP(V_Q_2,B_x1))
% 199.17/199.20 => ? [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 199.17/199.20 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_babs__reg__eqv,axiom,
% 199.17/199.20 ! [V_Pa_2,T_c,V_R_2,T_b] :
% 199.17/199.20 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 199.17/199.20 => c_Quotient_OBabs(T_b,T_c,c_Quotient_ORespects(T_b,V_R_2),V_Pa_2) = V_Pa_2 ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_Babs__def,axiom,
% 199.17/199.20 ! [V_m_2,T_c,V_p_2,V_x_2,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_p_2))
% 199.17/199.20 => hAPP(c_Quotient_OBabs(T_b,T_c,V_p_2,V_m_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_wf__weak__decr__stable,axiom,
% 199.17/199.20 ! [V_r_2,V_f_2,T_b] :
% 199.17/199.20 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 199.17/199.20 => ( c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2))
% 199.17/199.20 => ? [B_i] :
% 199.17/199.20 ! [B_k] : hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),B_k)) = hAPP(V_f_2,B_i) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_INT__anti__mono,axiom,
% 199.17/199.20 ! [V_g_2,V_f_2,T_c,V_A_2,V_B_2,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 199.17/199.20 => ( ! [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_g_2))) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_INT__greatest,axiom,
% 199.17/199.20 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] :
% 199.17/199.20 ( ! [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(V_B_2,B_x))) )
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_rtrancl__induct2,axiom,
% 199.17/199.20 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2))
% 199.17/199.20 => ( ! [B_a,B_b] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 199.17/199.20 => ! [B_aa,B_ba] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba))),V_r_2))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b))
% 199.17/199.20 => hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)) ) ) )
% 199.17/199.20 => hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_converse__rtranclE2,axiom,
% 199.17/199.20 ! [V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_c,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 199.17/199.20 => ( hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2) != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2)
% 199.17/199.20 => ~ ! [B_a,B_b] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))),V_r_2))
% 199.17/199.20 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2))) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_converse__rtrancl__induct2,axiom,
% 199.17/199.20 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2))
% 199.17/199.20 => ( ! [B_a,B_b,B_aa,B_ba] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba))),V_r_2))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba))
% 199.17/199.20 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) )
% 199.17/199.20 => hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_congruentI,axiom,
% 199.17/199.20 ! [T_c,V_f_2,V_r_2,T_b] :
% 199.17/199.20 ( ! [B_y,B_z] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_z)),V_r_2))
% 199.17/199.20 => hAPP(V_f_2,B_y) = hAPP(V_f_2,B_z) )
% 199.17/199.20 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_congruent2I_H,axiom,
% 199.17/199.20 ! [T_d,V_f_2,V_r2_2,T_c,V_r1_2,T_b] :
% 199.17/199.20 ( ! [B_y1,B_z1] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y1),B_z1)),V_r1_2))
% 199.17/199.20 => ! [B_y2,B_z2] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_y2),B_z2)),V_r2_2))
% 199.17/199.20 => hAPP(hAPP(V_f_2,B_y1),B_y2) = hAPP(hAPP(V_f_2,B_z1),B_z2) ) )
% 199.17/199.20 => c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact__03,axiom,
% 199.17/199.20 ! [V_xqq,V_xq,T_a] : c_Lazy__Sequence_Oflat(T_a,c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Lazy__Sequence_Olazy__sequence(T_a),V_xq,V_xqq)) = c_Lazy__Sequence_Oappend(T_a,V_xq,c_Lazy__Sequence_Oflat(T_a,V_xqq)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_all__interval__nat__def,axiom,
% 199.17/199.20 ! [V_j_2,V_i_2,V_Pa_2] :
% 199.17/199.20 ( c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2)
% 199.17/199.20 <=> ! [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)))
% 199.17/199.20 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact__04,axiom,
% 199.17/199.20 ! [T_a] : c_Lazy__Sequence_Oflat(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Lazy__Sequence_Olazy__sequence(T_a))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_list__all__iff__all__interval__nat,axiom,
% 199.17/199.20 ! [V_j_2,V_i_2,V_Pa_2] :
% 199.17/199.20 ( c_List_Olist__all(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2))
% 199.17/199.20 <=> c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_list__ex__iff__not__all__inverval__nat,axiom,
% 199.17/199.20 ! [V_j_2,V_i_2,V_Pa_2] :
% 199.17/199.20 ( c_List_Olist__ex(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2))
% 199.17/199.20 <=> ~ c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat,c_fNot),V_Pa_2),V_i_2,V_j_2) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact__05,axiom,
% 199.17/199.20 ! [V_f_2,V_xq_2,T_b,T_c] : hAPP(c_Lazy__Sequence_Obind(T_c,T_b,V_xq_2),V_f_2) = c_Lazy__Sequence_Oflat(T_b,c_Lazy__Sequence_Omap(T_c,tc_Lazy__Sequence_Olazy__sequence(T_b),V_f_2,V_xq_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_folding__image_Ocong,axiom,
% 199.17/199.20 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 199.17/199.20 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 199.17/199.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 199.17/199.20 => ( ! [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 199.17/199.20 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 199.17/199.20 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(V_F_2,V_h_2),V_A_2) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact__06,axiom,
% 199.17/199.20 ! [V_xq_2,V_x_2,V_f_2,T_b,T_c] : c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_x_2,V_xq_2)) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,hAPP(V_f_2,V_x_2),c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,V_xq_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact__07,axiom,
% 199.17/199.20 ! [V_f_2,T_b,T_c] : c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = c_Lazy__Sequence_Olazy__sequence_OEmpty(T_b) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_New__DSequence_Opos__map__def,axiom,
% 199.17/199.20 ! [V_i_2,V_xq_2,V_f_2,T_b,T_c] : c_New__DSequence_Opos__map(T_c,T_b,V_f_2,V_xq_2,V_i_2) = c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,hAPP(V_xq_2,V_i_2)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_power__dvd__imp__le,axiom,
% 199.17/199.20 ! [V_n,V_m,V_i] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n)))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Oorder__refl,axiom,
% 199.17/199.20 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__0__right,axiom,
% 199.17/199.20 ! [V_a,T_a] :
% 199.17/199.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__1__left,axiom,
% 199.17/199.20 ! [V_k] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k)) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__setprod,axiom,
% 199.17/199.20 ! [V_f_2,V_i_2,V_A_2,T_b,T_c] :
% 199.17/199.20 ( class_Rings_Ocomm__semiring__1(T_c)
% 199.17/199.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(V_f_2,V_i_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_unity__coeff__ex,axiom,
% 199.17/199.20 ! [V_l_2,V_Pa_2,T_b] :
% 199.17/199.20 ( ( class_Rings_Odvd(T_b)
% 199.17/199.20 & class_Rings_Osemiring__0(T_b) )
% 199.17/199.20 => ( ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_l_2),B_x)))
% 199.17/199.20 <=> ? [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_l_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),c_Groups_Ozero__class_Ozero(T_b))))
% 199.17/199.20 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_nat__mult__dvd__cancel__disj,axiom,
% 199.17/199.20 ! [V_na_2,V_m_2,V_k_2] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2)))
% 199.17/199.20 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 199.17/199.20 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__mult__cancel__left,axiom,
% 199.17/199.20 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 199.17/199.20 ( class_Rings_Oidom(T_b)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 199.17/199.20 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 199.17/199.20 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__mult__cancel__right,axiom,
% 199.17/199.20 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 199.17/199.20 ( class_Rings_Oidom(T_b)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2)))
% 199.17/199.20 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 199.17/199.20 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__triv__left,axiom,
% 199.17/199.20 ! [V_b,V_a,T_a] :
% 199.17/199.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__triv__right,axiom,
% 199.17/199.20 ! [V_b,V_a,T_a] :
% 199.17/199.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__mult2,axiom,
% 199.17/199.20 ! [V_c,V_b,V_a,T_a] :
% 199.17/199.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__mult,axiom,
% 199.17/199.20 ! [V_b,V_c,V_a,T_a] :
% 199.17/199.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_mult__dvd__mono,axiom,
% 199.17/199.20 ! [V_d,V_c,V_b,V_a,T_a] :
% 199.17/199.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_d))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvdI,axiom,
% 199.17/199.20 ! [V_k,V_b,V_a,T_a] :
% 199.17/199.20 ( class_Rings_Odvd(T_a)
% 199.17/199.20 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k)
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_a)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__mult__left,axiom,
% 199.17/199.20 ! [V_c,V_b,V_a,T_a] :
% 199.17/199.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__mult__right,axiom,
% 199.17/199.20 ! [V_c,V_b,V_a,T_a] :
% 199.17/199.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_div__mult__div__if__dvd,axiom,
% 199.17/199.20 ! [V_w,V_z,V_x,V_y,T_a] :
% 199.17/199.20 ( class_Divides_Osemiring__div(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_w))
% 199.17/199.20 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_w),V_z)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__div__mult,axiom,
% 199.17/199.20 ! [V_c,V_b,V_a,T_a] :
% 199.17/199.20 ( class_Divides_Osemiring__div(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 199.17/199.20 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)),V_c) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_a) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__div__mult__self,axiom,
% 199.17/199.20 ! [V_b,V_a,T_a] :
% 199.17/199.20 ( class_Divides_Osemiring__div(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 199.17/199.20 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)),V_a) = V_b ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_div__mult__swap,axiom,
% 199.17/199.20 ! [V_a,V_b,V_c,T_a] :
% 199.17/199.20 ( class_Divides_Osemiring__div(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 199.17/199.20 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__mult__div__cancel,axiom,
% 199.17/199.20 ! [V_b,V_a,T_a] :
% 199.17/199.20 ( class_Divides_Osemiring__div(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 199.17/199.20 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)) = V_b ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_inf__period_I3_J,axiom,
% 199.17/199.20 ! [V_t_2,V_D_2,V_d_2,T_b] :
% 199.17/199.20 ( ( class_Rings_Ocomm__ring(T_b)
% 199.17/199.20 & class_Rings_Odvd(T_b) )
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 199.17/199.20 => ! [B_x,B_k] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_t_2)))
% 199.17/199.20 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_t_2))) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_inf__period_I4_J,axiom,
% 199.17/199.20 ! [V_t_2,V_D_2,V_d_2,T_b] :
% 199.17/199.20 ( ( class_Rings_Ocomm__ring(T_b)
% 199.17/199.20 & class_Rings_Odvd(T_b) )
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 199.17/199.20 => ! [B_x,B_k] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_t_2)))
% 199.17/199.20 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_t_2))) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_OatLeastAtMost__singleton__iff,axiom,
% 199.17/199.20 ! [V_c_2,V_b_2,V_a_2] :
% 199.17/199.20 ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))
% 199.17/199.20 <=> ( V_a_2 = V_b_2
% 199.17/199.20 & V_b_2 = V_c_2 ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_OatLeastAtMost__singleton,axiom,
% 199.17/199.20 ! [V_a_2] : c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_OatLeastAtMost__singleton_H,axiom,
% 199.17/199.20 ! [V_b_2,V_a_2] :
% 199.17/199.20 ( V_a_2 = V_b_2
% 199.17/199.20 => c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_OatLeastatMost__empty__iff2,axiom,
% 199.17/199.20 ! [V_b_2,V_a_2] :
% 199.17/199.20 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2)
% 199.17/199.20 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_OatLeastatMost__empty__iff,axiom,
% 199.17/199.20 ! [V_b_2,V_a_2] :
% 199.17/199.20 ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))
% 199.17/199.20 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_OatLeastatMost__empty,axiom,
% 199.17/199.20 ! [V_a_2,V_b_2] :
% 199.17/199.20 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) )
% 199.17/199.20 => c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_OatLeastLessThan__empty__iff2,axiom,
% 199.17/199.20 ! [V_b_2,V_a_2] :
% 199.17/199.20 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2)
% 199.17/199.20 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_OgreaterThanAtMost__empty__iff2,axiom,
% 199.17/199.20 ! [V_l_2,V_k_2] :
% 199.17/199.20 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2)
% 199.17/199.20 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_OatLeastLessThan__empty__iff,axiom,
% 199.17/199.20 ! [V_b_2,V_a_2] :
% 199.17/199.20 ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))
% 199.17/199.20 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_OgreaterThanAtMost__empty__iff,axiom,
% 199.17/199.20 ! [V_l_2,V_k_2] :
% 199.17/199.20 ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))
% 199.17/199.20 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_OgreaterThanLessThan__empty,axiom,
% 199.17/199.20 ! [V_k_2,V_l_2] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 199.17/199.20 => c_SetInterval_Oord_OgreaterThanLessThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_OatLeastLessThan__empty,axiom,
% 199.17/199.20 ! [V_a_2,V_b_2] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 199.17/199.20 => c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_OgreaterThanAtMost__empty,axiom,
% 199.17/199.20 ! [V_k_2,V_l_2] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 199.17/199.20 => c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__1__iff__1,axiom,
% 199.17/199.20 ! [V_m_2] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 199.17/199.20 <=> V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__minus__iff,axiom,
% 199.17/199.20 ! [V_y_2,V_x_2,T_b] :
% 199.17/199.20 ( class_Rings_Ocomm__ring__1(T_b)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)))
% 199.17/199.20 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_minus__dvd__iff,axiom,
% 199.17/199.20 ! [V_y_2,V_x_2,T_b] :
% 199.17/199.20 ( class_Rings_Ocomm__ring__1(T_b)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),V_y_2))
% 199.17/199.20 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__diff__nat,axiom,
% 199.17/199.20 ! [V_n,V_m,V_k] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__diff,axiom,
% 199.17/199.20 ! [V_z,V_y,V_x,T_a] :
% 199.17/199.20 ( class_Rings_Ocomm__ring__1(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_z))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z))) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_div__add,axiom,
% 199.17/199.20 ! [V_y,V_x,V_z,T_a] :
% 199.17/199.20 ( class_Divides_Osemiring__div(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_x))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_y))
% 199.17/199.20 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_z)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_y),V_z)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__div__neg,axiom,
% 199.17/199.20 ! [V_x,V_y,T_a] :
% 199.17/199.20 ( class_Divides_Oring__div(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 199.17/199.20 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__neg__div,axiom,
% 199.17/199.20 ! [V_x,V_y,T_a] :
% 199.17/199.20 ( class_Divides_Oring__div(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 199.17/199.20 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_y) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__abs__iff,axiom,
% 199.17/199.20 ! [V_k_2,V_m_2,T_b] :
% 199.17/199.20 ( class_Rings_Olinordered__idom(T_b)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_k_2)))
% 199.17/199.20 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_abs__dvd__iff,axiom,
% 199.17/199.20 ! [V_k_2,V_m_2,T_b] :
% 199.17/199.20 ( class_Rings_Olinordered__idom(T_b)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_m_2)),V_k_2))
% 199.17/199.20 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__if__abs__eq,axiom,
% 199.17/199.20 ! [V_k,V_l,T_a] :
% 199.17/199.20 ( class_Rings_Olinordered__idom(T_a)
% 199.17/199.20 => ( hAPP(c_Groups_Oabs__class_Oabs(T_a),V_l) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k)
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_l),V_k)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__mod__iff,axiom,
% 199.17/199.20 ! [V_m_2,V_na_2,V_k_2,T_b] :
% 199.17/199.20 ( class_Divides_Osemiring__div(T_b)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_na_2))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),c_Divides_Odiv__class_Omod(T_b,V_m_2,V_na_2)))
% 199.17/199.20 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_m_2)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_mod__mod__cancel,axiom,
% 199.17/199.20 ! [V_a,V_b,V_c,T_a] :
% 199.17/199.20 ( class_Divides_Osemiring__div(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 199.17/199.20 => c_Divides_Odiv__class_Omod(T_a,c_Divides_Odiv__class_Omod(T_a,V_a,V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,V_a,V_c) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__mod,axiom,
% 199.17/199.20 ! [V_n,V_m,V_k,T_a] :
% 199.17/199.20 ( class_Divides_Osemiring__div(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n))) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__mod__imp__dvd,axiom,
% 199.17/199.20 ! [V_n,V_m,V_k,T_a] :
% 199.17/199.20 ( class_Divides_Osemiring__div(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n)))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__0__left,axiom,
% 199.17/199.20 ! [V_a,T_a] :
% 199.17/199.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 199.17/199.20 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_div__dvd__div,axiom,
% 199.17/199.20 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 199.17/199.20 ( class_Divides_Osemiring__div(T_b)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_c_2))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_c_2),V_a_2)))
% 199.17/199.20 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_b_2),V_c_2)) ) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__refl,axiom,
% 199.17/199.20 ! [V_a,T_a] :
% 199.17/199.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_a)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__trans,axiom,
% 199.17/199.20 ! [V_c,V_b,V_a,T_a] :
% 199.17/199.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Oeq__iff,axiom,
% 199.17/199.20 ! [V_y_2,V_x_2] :
% 199.17/199.20 ( V_x_2 = V_y_2
% 199.17/199.20 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 199.17/199.20 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Ole__less,axiom,
% 199.17/199.20 ! [V_y_2,V_x_2] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 199.17/199.20 <=> ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 199.17/199.20 | V_x_2 = V_y_2 ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Oless__le,axiom,
% 199.17/199.20 ! [V_y_2,V_x_2] :
% 199.17/199.20 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 199.17/199.20 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 199.17/199.20 & V_x_2 != V_y_2 ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Oneq__le__trans,axiom,
% 199.17/199.20 ! [V_b,V_a] :
% 199.17/199.20 ( V_a != V_b
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Oeq__refl,axiom,
% 199.17/199.20 ! [V_y,V_x] :
% 199.17/199.20 ( V_x = V_y
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Oantisym__conv,axiom,
% 199.17/199.20 ! [V_x_2,V_y_2] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 199.17/199.20 <=> V_x_2 = V_y_2 ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Ole__imp__less__or__eq,axiom,
% 199.17/199.20 ! [V_y,V_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 199.17/199.20 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 199.17/199.20 | V_x = V_y ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Ole__neq__trans,axiom,
% 199.17/199.20 ! [V_b,V_a] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 199.17/199.20 => ( V_a != V_b
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Oord__eq__le__trans,axiom,
% 199.17/199.20 ! [V_c,V_b,V_a] :
% 199.17/199.20 ( V_a = V_b
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Oord__le__eq__trans,axiom,
% 199.17/199.20 ! [V_c,V_b,V_a] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 199.17/199.20 => ( V_b = V_c
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__antisym,axiom,
% 199.17/199.20 ! [V_n,V_m] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m))
% 199.17/199.20 => V_m = V_n ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Oantisym,axiom,
% 199.17/199.20 ! [V_y,V_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 199.17/199.20 => V_x = V_y ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Oorder__trans,axiom,
% 199.17/199.20 ! [V_z,V_y,V_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Oord__eq__less__trans,axiom,
% 199.17/199.20 ! [V_c,V_b,V_a] :
% 199.17/199.20 ( V_a = V_b
% 199.17/199.20 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_b)) )
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Ole__less__trans,axiom,
% 199.17/199.20 ! [V_z,V_y,V_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 199.17/199.20 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Oless__imp__neq,axiom,
% 199.17/199.20 ! [V_y,V_x] :
% 199.17/199.20 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 199.17/199.20 => V_x != V_y ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Oless__not__sym,axiom,
% 199.17/199.20 ! [V_y,V_x] :
% 199.17/199.20 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 199.17/199.20 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Oless__imp__le,axiom,
% 199.17/199.20 ! [V_y,V_x] :
% 199.17/199.20 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Oless__imp__not__less,axiom,
% 199.17/199.20 ! [V_y,V_x] :
% 199.17/199.20 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 199.17/199.20 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Oless__imp__not__eq,axiom,
% 199.17/199.20 ! [V_y,V_x] :
% 199.17/199.20 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 199.17/199.20 => V_x != V_y ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Oless__imp__not__eq2,axiom,
% 199.17/199.20 ! [V_y,V_x] :
% 199.17/199.20 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 199.17/199.20 => V_y != V_x ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Oord__less__eq__trans,axiom,
% 199.17/199.20 ! [V_c,V_b,V_a] :
% 199.17/199.20 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 199.17/199.20 => ( V_b = V_c
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Oless__le__trans,axiom,
% 199.17/199.20 ! [V_z,V_y,V_x] :
% 199.17/199.20 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Oless__asym_H,axiom,
% 199.17/199.20 ! [V_b,V_a] :
% 199.17/199.20 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 199.17/199.20 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Oless__trans,axiom,
% 199.17/199.20 ! [V_z,V_y,V_x] :
% 199.17/199.20 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 199.17/199.20 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Oless__asym,axiom,
% 199.17/199.20 ! [V_y,V_x] :
% 199.17/199.20 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 199.17/199.20 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__power__same,axiom,
% 199.17/199.20 ! [V_n,V_y,V_x,T_a] :
% 199.17/199.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_n))) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_nat__dvd__1__iff__1,axiom,
% 199.17/199.20 ! [V_m_2] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 199.17/199.20 <=> V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_one__dvd,axiom,
% 199.17/199.20 ! [V_a,T_a] :
% 199.17/199.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__reduce,axiom,
% 199.17/199.20 ! [V_na_2,V_k_2] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_k_2)))
% 199.17/199.20 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_na_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__add,axiom,
% 199.17/199.20 ! [V_c,V_b,V_a,T_a] :
% 199.17/199.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_OatLeastatMost__psubset__iff,axiom,
% 199.17/199.20 ! [V_d_2,V_c_2,V_b_2,V_a_2] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2,V_d_2)))
% 199.17/199.20 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 199.17/199.20 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 199.17/199.20 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 199.17/199.20 & ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_c_2)) )
% 199.17/199.20 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_d_2),V_b_2)) ) ) ) )
% 199.17/199.20 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_d_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__imp__mod__0,axiom,
% 199.17/199.20 ! [V_b,V_a,T_a] :
% 199.17/199.20 ( class_Divides_Osemiring__div(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 199.17/199.20 => c_Divides_Odiv__class_Omod(T_a,V_b,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__eq__mod__eq__0,axiom,
% 199.17/199.20 ! [V_b_2,V_a_2,T_b] :
% 199.17/199.20 ( class_Divides_Osemiring__div(T_b)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 199.17/199.20 <=> c_Divides_Odiv__class_Omod(T_b,V_b_2,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_div__power,axiom,
% 199.17/199.20 ! [V_n,V_x,V_y,T_a] :
% 199.17/199.20 ( class_Divides_Osemiring__div(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 199.17/199.20 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)),V_n) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_n)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_nat__dvd__not__less,axiom,
% 199.17/199.20 ! [V_n,V_m] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 199.17/199.20 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_OatLeast__iff,axiom,
% 199.17/199.20 ! [V_k_2,V_i_2] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OatLeast(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2)))
% 199.17/199.20 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_OatMost__iff,axiom,
% 199.17/199.20 ! [V_k_2,V_i_2] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OatMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2)))
% 199.17/199.20 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_OgreaterThan__iff,axiom,
% 199.17/199.20 ! [V_k_2,V_i_2] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OgreaterThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2)))
% 199.17/199.20 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_OlessThan__iff,axiom,
% 199.17/199.20 ! [V_k_2,V_i_2] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OlessThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2)))
% 199.17/199.20 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__diffD,axiom,
% 199.17/199.20 ! [V_n,V_m,V_k] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__diffD1,axiom,
% 199.17/199.20 ! [V_n,V_m,V_k] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_OatLeastatMost__subset__iff,axiom,
% 199.17/199.20 ! [V_d_2,V_c_2,V_b_2,V_a_2] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2,V_d_2)))
% 199.17/199.20 <=> ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 199.17/199.20 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 199.17/199.20 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_power__le__dvd,axiom,
% 199.17/199.20 ! [V_m,V_b,V_n,V_a,T_a] :
% 199.17/199.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_b))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_b)) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__power__le,axiom,
% 199.17/199.20 ! [V_m,V_n,V_y,V_x,T_a] :
% 199.17/199.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_m))) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_le__imp__power__dvd,axiom,
% 199.17/199.20 ! [V_a,V_n,V_m,T_a] :
% 199.17/199.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__div__div__eq__mult,axiom,
% 199.17/199.20 ! [V_d_2,V_b_2,V_c_2,V_a_2,T_b] :
% 199.17/199.20 ( class_Divides_Osemiring__div(T_b)
% 199.17/199.20 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 199.17/199.20 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_c_2),V_d_2))
% 199.17/199.20 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_d_2),V_c_2)
% 199.17/199.20 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2) ) ) ) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__div__eq__mult,axiom,
% 199.17/199.20 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 199.17/199.20 ( class_Divides_Osemiring__div(T_b)
% 199.17/199.20 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 199.17/199.20 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = V_c_2
% 199.17/199.20 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2) ) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__eq__mod__eq__0__number__of,axiom,
% 199.17/199.20 ! [V_y_2,V_x_2,T_b] :
% 199.17/199.20 ( ( class_Divides_Osemiring__div(T_b)
% 199.17/199.20 & class_Int_Onumber(T_b) )
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 199.17/199.20 <=> c_Divides_Odiv__class_Omod(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_setprod__dvd__setprod__subset,axiom,
% 199.17/199.20 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 199.17/199.20 ( ( class_Groups_Ocomm__monoid__mult(T_c)
% 199.17/199.20 & class_Rings_Odvd(T_c) )
% 199.17/199.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2))) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_nat__mult__dvd__cancel1,axiom,
% 199.17/199.20 ! [V_na_2,V_m_2,V_k_2] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2)))
% 199.17/199.20 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__mult__cancel,axiom,
% 199.17/199.20 ! [V_n,V_m,V_k] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__imp__le,axiom,
% 199.17/199.20 ! [V_n,V_k] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__power,axiom,
% 199.17/199.20 ! [V_x,V_n,T_a] :
% 199.17/199.20 ( class_Rings_Ocomm__semiring__1(T_a)
% 199.17/199.20 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 199.17/199.20 | V_x = c_Groups_Oone__class_Oone(T_a) )
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__mult__cancel2,axiom,
% 199.17/199.20 ! [V_na_2,V_m_2] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),V_m_2)),V_m_2))
% 199.17/199.20 <=> V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd__mult__cancel1,axiom,
% 199.17/199.20 ! [V_na_2,V_m_2] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 199.17/199.20 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2)),V_m_2))
% 199.17/199.20 <=> V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_dvd_Ostrict__monoD,axiom,
% 199.17/199.20 ! [V_y_2,V_x_2,V_f_2,T_b] :
% 199.17/199.20 ( class_Orderings_Oorder(T_b)
% 199.17/199.20 => ( c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat,T_b,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_f_2)
% 199.17/199.20 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 199.17/199.20 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 fof(fact_equiv__imp__dvd__card,axiom,
% 199.17/199.20 ! [V_k_2,V_r_2,V_A_2,T_b] :
% 199.17/199.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 199.17/199.20 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 199.17/199.20 => ( ! [B_x] :
% 199.17/199.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_b),B_x))) )
% 199.17/199.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ) ).
% 199.17/199.20
% 199.17/199.20 %----Arity declarations (220)
% 199.17/199.20 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 199.17/199.20 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 199.17/199.20 ! [T_2,T_1] :
% 199.17/199.20 ( class_Lattices_Obounded__lattice(T_1)
% 199.17/199.20 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 199.17/199.20 ! [T_2,T_1] :
% 199.17/199.20 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 199.17/199.20 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 199.17/199.20 ! [T_2,T_1] :
% 199.17/199.20 ( class_Lattices_Obounded__lattice(T_1)
% 199.17/199.20 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 199.17/199.20 ! [T_2,T_1] :
% 199.17/199.20 ( class_Lattices_Obounded__lattice(T_1)
% 199.17/199.20 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 199.17/199.20 ! [T_2,T_1] :
% 199.17/199.20 ( class_Lattices_Olattice(T_1)
% 199.17/199.20 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 199.17/199.20 ! [T_2,T_1] :
% 199.17/199.20 ( class_Lattices_Olattice(T_1)
% 199.17/199.20 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 199.17/199.20 ! [T_2,T_1] :
% 199.17/199.20 ( class_Lattices_Odistrib__lattice(T_1)
% 199.17/199.20 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 199.17/199.20 ! [T_2,T_1] :
% 199.17/199.20 ( class_Lattices_Oboolean__algebra(T_1)
% 199.17/199.20 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_fun__Orderings_Opreorder,axiom,
% 199.17/199.20 ! [T_2,T_1] :
% 199.17/199.20 ( class_Orderings_Opreorder(T_1)
% 199.17/199.20 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 199.17/199.20 ! [T_1,T_2] :
% 199.17/199.20 ( ( class_Finite__Set_Ofinite(T_2)
% 199.17/199.20 & class_Finite__Set_Ofinite(T_1) )
% 199.17/199.20 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_fun__Lattices_Olattice,axiom,
% 199.17/199.20 ! [T_2,T_1] :
% 199.17/199.20 ( class_Lattices_Olattice(T_1)
% 199.17/199.20 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_fun__Orderings_Oorder,axiom,
% 199.17/199.20 ! [T_2,T_1] :
% 199.17/199.20 ( class_Orderings_Oorder(T_1)
% 199.17/199.20 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_fun__Orderings_Otop,axiom,
% 199.17/199.20 ! [T_2,T_1] :
% 199.17/199.20 ( class_Orderings_Otop(T_1)
% 199.17/199.20 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_fun__Orderings_Oord,axiom,
% 199.17/199.20 ! [T_2,T_1] :
% 199.17/199.20 ( class_Orderings_Oord(T_1)
% 199.17/199.20 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_fun__Orderings_Obot,axiom,
% 199.17/199.20 ! [T_2,T_1] :
% 199.17/199.20 ( class_Orderings_Obot(T_1)
% 199.17/199.20 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_fun__Groups_Ouminus,axiom,
% 199.17/199.20 ! [T_2,T_1] :
% 199.17/199.20 ( class_Groups_Ouminus(T_1)
% 199.17/199.20 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_fun__Groups_Ominus,axiom,
% 199.17/199.20 ! [T_2,T_1] :
% 199.17/199.20 ( class_Groups_Ominus(T_1)
% 199.17/199.20 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_fun__Enum_Oenum,axiom,
% 199.17/199.20 ! [T_1,T_2] :
% 199.17/199.20 ( ( class_Enum_Oenum(T_2)
% 199.17/199.20 & class_Enum_Oenum(T_1) )
% 199.17/199.20 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Com__Ocom__Nat_Osize,axiom,
% 199.17/199.20 class_Nat_Osize(tc_Com_Ocom) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 199.17/199.20 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 199.17/199.20 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 199.17/199.20 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 199.17/199.20 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 199.17/199.20 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 199.17/199.20 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 199.17/199.20 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 199.17/199.20 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 199.17/199.20 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 199.17/199.20 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 199.17/199.20 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 199.17/199.20 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 199.17/199.20 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 199.17/199.20 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 199.17/199.20 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 199.17/199.20 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 199.17/199.20 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 199.17/199.20 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 199.17/199.20 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 199.17/199.20 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 199.17/199.20 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 199.17/199.20 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom,
% 199.17/199.20 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 199.17/199.20 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 199.17/199.20 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 199.17/199.20 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 199.17/199.20 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 199.17/199.20 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 199.17/199.20 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 199.17/199.20 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 199.17/199.20 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 199.17/199.20 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 199.17/199.20 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 199.17/199.20 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 199.17/199.20 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 199.17/199.20 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 199.17/199.20 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 199.17/199.20 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 199.17/199.20 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 199.17/199.20 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 199.17/199.20 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 199.17/199.20 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 199.17/199.20 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 199.17/199.20 class_Orderings_Opreorder(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 199.17/199.20 class_Orderings_Olinorder(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 199.17/199.20 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 199.17/199.20 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 199.17/199.20 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 199.17/199.20 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 199.17/199.20 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 199.17/199.20 class_Lattices_Olattice(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 199.17/199.20 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 199.17/199.20 class_Divides_Oring__div(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 199.17/199.20 class_Rings_Omult__zero(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom,
% 199.17/199.20 class_Rings_Ocomm__ring(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 199.17/199.20 class_Orderings_Oorder(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 199.17/199.20 class_Int_Oring__char__0(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 199.17/199.20 class_Int_Onumber__ring(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 199.17/199.20 class_Rings_Osemiring(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 199.17/199.20 class_Orderings_Oord(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 199.17/199.20 class_Groups_Ouminus(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 199.17/199.20 class_Groups_Osgn__if(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 199.17/199.20 class_Groups_Oabs__if(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 199.17/199.20 class_Rings_Oring__1(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 199.17/199.20 class_Groups_Ominus(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Power_Opower,axiom,
% 199.17/199.20 class_Power_Opower(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 199.17/199.20 class_Groups_Ozero(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Oring,axiom,
% 199.17/199.20 class_Rings_Oring(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 199.17/199.20 class_Rings_Oidom(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Int_Onumber,axiom,
% 199.17/199.20 class_Int_Onumber(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Groups_Oone,axiom,
% 199.17/199.20 class_Groups_Oone(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Int__Oint__Rings_Odvd,axiom,
% 199.17/199.20 class_Rings_Odvd(tc_Int_Oint) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 199.17/199.20 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 199.17/199.20 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 199.17/199.20 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 199.17/199.20 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 199.17/199.20 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 199.17/199.20 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 199.17/199.20 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 199.17/199.20 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 199.17/199.20 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 199.17/199.20 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 199.17/199.20 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 199.17/199.20 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 199.17/199.20 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 199.17/199.20 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 199.17/199.20 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 199.17/199.20 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 199.17/199.20 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 199.17/199.20 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 199.17/199.20 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 199.17/199.20 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 199.17/199.20 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 199.17/199.20 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 199.17/199.20 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 199.17/199.20 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 199.17/199.20 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 199.17/199.20 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 199.17/199.20 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 199.17/199.20 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 199.17/199.20 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 199.17/199.20 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 199.17/199.20 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 199.17/199.20 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 199.17/199.20 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 199.17/199.20 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 199.17/199.20 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 199.17/199.20 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 199.17/199.20 class_Lattices_Olattice(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 199.17/199.20 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 199.17/199.20 class_Orderings_Oorder(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 199.17/199.20 class_Rings_Osemiring(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 199.17/199.20 class_Orderings_Oord(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 199.17/199.20 class_Orderings_Obot(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 199.17/199.20 class_Groups_Ominus(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Power_Opower,axiom,
% 199.17/199.20 class_Power_Opower(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 199.17/199.20 class_Groups_Ozero(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 199.17/199.20 class_Int_Onumber(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 199.17/199.20 class_Groups_Oone(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Rings_Odvd,axiom,
% 199.17/199.20 class_Rings_Odvd(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_Nat__Onat__Nat_Osize,axiom,
% 199.17/199.20 class_Nat_Osize(tc_Nat_Onat) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 199.17/199.20 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 199.17/199.20 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 199.17/199.20 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 199.17/199.20 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 199.17/199.20 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 199.17/199.20 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 199.17/199.20 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 199.17/199.20 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 199.17/199.20 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 199.17/199.20 class_Lattices_Olattice(tc_HOL_Obool) ).
% 199.17/199.20
% 199.17/199.20 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 199.17/199.21 class_Orderings_Oorder(tc_HOL_Obool) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 199.17/199.21 class_Orderings_Otop(tc_HOL_Obool) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 199.17/199.21 class_Orderings_Oord(tc_HOL_Obool) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 199.17/199.21 class_Orderings_Obot(tc_HOL_Obool) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 199.17/199.21 class_Groups_Ouminus(tc_HOL_Obool) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 199.17/199.21 class_Groups_Ominus(tc_HOL_Obool) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_HOL__Obool__Enum_Oenum,axiom,
% 199.17/199.21 class_Enum_Oenum(tc_HOL_Obool) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_HOL__Obool__Nat_Osize,axiom,
% 199.17/199.21 class_Nat_Osize(tc_HOL_Obool) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom,
% 199.17/199.21 ! [T_1] :
% 199.17/199.21 ( class_Lazy__Sequence_Osmall__lazy(T_1)
% 199.17/199.21 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_List__Olist__Nat_Osize,axiom,
% 199.17/199.21 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 199.17/199.21 ! [T_1,T_2] :
% 199.17/199.21 ( ( class_Finite__Set_Ofinite(T_2)
% 199.17/199.21 & class_Finite__Set_Ofinite(T_1) )
% 199.17/199.21 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_sum__Enum_Oenum,axiom,
% 199.17/199.21 ! [T_1,T_2] :
% 199.17/199.21 ( ( class_Enum_Oenum(T_2)
% 199.17/199.21 & class_Enum_Oenum(T_1) )
% 199.17/199.21 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_sum__Nat_Osize,axiom,
% 199.17/199.21 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 199.17/199.21 ! [T_1] :
% 199.17/199.21 ( class_Finite__Set_Ofinite(T_1)
% 199.17/199.21 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Option__Ooption__Enum_Oenum,axiom,
% 199.17/199.21 ! [T_1] :
% 199.17/199.21 ( class_Enum_Oenum(T_1)
% 199.17/199.21 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Option__Ooption__Nat_Osize,axiom,
% 199.17/199.21 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom,
% 199.17/199.21 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom,
% 199.17/199.21 ! [T_1,T_2] :
% 199.17/199.21 ( ( class_Lazy__Sequence_Osmall__lazy(T_2)
% 199.17/199.21 & class_Lazy__Sequence_Osmall__lazy(T_1) )
% 199.17/199.21 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 199.17/199.21 ! [T_1,T_2] :
% 199.17/199.21 ( ( class_Finite__Set_Ofinite(T_2)
% 199.17/199.21 & class_Finite__Set_Ofinite(T_1) )
% 199.17/199.21 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_prod__Enum_Oenum,axiom,
% 199.17/199.21 ! [T_1,T_2] :
% 199.17/199.21 ( ( class_Enum_Oenum(T_2)
% 199.17/199.21 & class_Enum_Oenum(T_1) )
% 199.17/199.21 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_prod__Nat_Osize,axiom,
% 199.17/199.21 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom,
% 199.17/199.21 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 199.17/199.21 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom,
% 199.17/199.21 class_Enum_Oenum(tc_Product__Type_Ounit) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Product____Type__Ounit__Nat_Osize,axiom,
% 199.17/199.21 class_Nat_Osize(tc_Product__Type_Ounit) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom,
% 199.17/199.21 class_Nat_Osize(tc_Code__Evaluation_Oterm) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 199.17/199.21 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 199.17/199.21 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 199.17/199.21 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 199.17/199.21 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 199.17/199.21 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 199.17/199.21 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 199.17/199.21 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 199.17/199.21 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 199.17/199.21 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 199.17/199.21 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 199.17/199.21 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 199.17/199.21 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 199.17/199.21 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 199.17/199.21 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 199.17/199.21 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 199.17/199.21 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 199.17/199.21 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 199.17/199.21 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 199.17/199.21 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 199.17/199.21 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 199.17/199.21 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 199.17/199.21 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 199.17/199.21 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 199.17/199.21 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 199.17/199.21 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 199.17/199.21 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 199.17/199.21 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 199.17/199.21 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 199.17/199.21 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 199.17/199.21 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 199.17/199.21 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 199.17/199.21 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 199.17/199.21 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 199.17/199.21 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 199.17/199.21 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 199.17/199.21 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 199.17/199.21 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 199.17/199.21 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 199.17/199.21 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 199.17/199.21 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Rings_Odvd,axiom,
% 199.17/199.21 class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom,
% 199.17/199.21 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ).
% 199.17/199.21
% 199.17/199.21 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom,
% 199.17/199.21 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 199.17/199.21
% 199.17/199.21 %----Helper facts (20)
% 199.17/199.21 fof(help_c__COMBI__1,axiom,
% 199.17/199.21 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 199.17/199.21
% 199.17/199.21 fof(help_c__COMBK__1,axiom,
% 199.17/199.21 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 199.17/199.21
% 199.17/199.21 fof(help_c__COMBB__1,axiom,
% 199.17/199.21 ! [V_R_2,V_Q_2,V_Pa_2,T_d,T_b,T_c] : hAPP(hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_Pa_2),V_Q_2),V_R_2) = hAPP(V_Pa_2,hAPP(V_Q_2,V_R_2)) ).
% 199.17/199.21
% 199.17/199.21 fof(help_c__COMBC__1,axiom,
% 199.17/199.21 ! [V_R_2,V_Q_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_Pa_2),V_Q_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),V_Q_2) ).
% 199.17/199.21
% 199.17/199.21 fof(help_c__COMBS__1,axiom,
% 199.17/199.21 ! [V_R_2,V_Q_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_Pa_2),V_Q_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),hAPP(V_Q_2,V_R_2)) ).
% 199.17/199.21
% 199.17/199.21 fof(help_c__fequal__1,axiom,
% 199.17/199.21 ! [V_y_2,V_x_2] :
% 199.17/199.21 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 199.17/199.21 | V_x_2 = V_y_2 ) ).
% 199.17/199.21
% 199.17/199.21 fof(help_c__fequal__2,axiom,
% 199.17/199.21 ! [V_y_2,V_x_2] :
% 199.17/199.21 ( V_x_2 != V_y_2
% 199.17/199.21 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 199.17/199.21
% 199.17/199.21 fof(help_c__fFalse__1,axiom,
% 199.17/199.21 ~ hBOOL(c_fFalse) ).
% 199.17/199.21
% 199.17/199.21 fof(help_c__fTrue__1,axiom,
% 199.17/199.21 hBOOL(c_fTrue) ).
% 199.17/199.21
% 199.17/199.21 fof(help_c__fNot__1,axiom,
% 199.17/199.21 ! [V_Pa_2] :
% 199.17/199.21 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2))
% 199.17/199.21 | ~ hBOOL(V_Pa_2) ) ).
% 199.17/199.21
% 199.17/199.21 fof(help_c__fNot__2,axiom,
% 199.17/199.21 ! [V_Pa_2] :
% 199.17/199.21 ( ~ ~ hBOOL(V_Pa_2)
% 199.17/199.21 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ).
% 199.17/199.21
% 199.17/199.21 fof(help_c__fconj__1,axiom,
% 199.17/199.21 ! [V_Q_2,V_Pa_2] :
% 199.17/199.21 ( ~ hBOOL(V_Pa_2)
% 199.17/199.21 | ~ hBOOL(V_Q_2)
% 199.17/199.21 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2)) ) ).
% 199.17/199.21
% 199.17/199.21 fof(help_c__fconj__2,axiom,
% 199.17/199.21 ! [V_Q_2,V_Pa_2] :
% 199.17/199.21 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2))
% 199.17/199.21 | hBOOL(V_Pa_2) ) ).
% 199.17/199.21
% 199.17/199.21 fof(help_c__fconj__3,axiom,
% 199.17/199.21 ! [V_Q_2,V_Pa_2] :
% 199.17/199.21 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2))
% 199.17/199.21 | hBOOL(V_Q_2) ) ).
% 199.17/199.21
% 199.17/199.21 fof(help_c__fdisj__1,axiom,
% 199.17/199.21 ! [V_Q_2,V_Pa_2] :
% 199.17/199.21 ( ~ hBOOL(V_Pa_2)
% 199.17/199.21 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) ) ).
% 199.17/199.21
% 199.17/199.21 fof(help_c__fdisj__2,axiom,
% 199.17/199.21 ! [V_Pa_2,V_Q_2] :
% 199.17/199.21 ( ~ hBOOL(V_Q_2)
% 199.17/199.21 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) ) ).
% 199.17/199.21
% 199.17/199.21 fof(help_c__fdisj__3,axiom,
% 199.17/199.21 ! [V_Q_2,V_Pa_2] :
% 199.17/199.21 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2))
% 199.17/199.21 | hBOOL(V_Pa_2)
% 199.17/199.21 | hBOOL(V_Q_2) ) ).
% 199.17/199.21
% 199.17/199.21 fof(help_c__fimplies__1,axiom,
% 199.17/199.21 ! [V_Q_2,V_Pa_2] :
% 199.17/199.21 ( hBOOL(V_Pa_2)
% 199.17/199.21 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) ) ).
% 199.17/199.21
% 199.17/199.21 fof(help_c__fimplies__2,axiom,
% 199.17/199.21 ! [V_Pa_2,V_Q_2] :
% 199.17/199.21 ( ~ hBOOL(V_Q_2)
% 199.17/199.21 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) ) ).
% 199.17/199.21
% 199.17/199.21 fof(help_c__fimplies__3,axiom,
% 199.17/199.21 ! [V_Q_2,V_Pa_2] :
% 199.17/199.21 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2))
% 199.17/199.21 | ~ hBOOL(V_Pa_2)
% 199.17/199.21 | hBOOL(V_Q_2) ) ).
% 199.17/199.21
% 199.17/199.21 %----Conjectures (3)
% 199.17/199.21 fof(conj_0,hypothesis,
% 199.17/199.21 hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),v_U)) ).
% 199.17/199.21
% 199.17/199.21 fof(conj_1,hypothesis,
% 199.17/199.21 v_G = hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U) ).
% 199.17/199.21
% 199.17/199.21 fof(conj_2,conjecture,
% 199.17/199.21 ! [B_x] :
% 199.17/199.21 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),v_U))
% 199.17/199.21 => v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,B_x)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ) ).
% 199.17/199.21
% 199.17/199.21 %------------------------------------------------------------------------------
% 199.17/199.21 %-------------------------------------------
% 199.17/199.21 % Proof found
% 199.17/199.21 % SZS status Theorem for theBenchmark
% 199.17/199.21 % SZS output start Proof
% 199.17/199.21 %ClaNum:10404(EqnAxiom:3041)
% 199.17/199.21 %VarNum:70827(SingletonVarNum:20421)
% 199.17/199.21 %MaxLitNum:8
% 199.17/199.21 %MaxfuncDepth:15
% 199.17/199.21 %SharedTerms:1013
% 199.17/199.21 %goalClause: 3414 4633
% 199.17/199.21 %singleGoalClaCount:2
% 199.17/199.21 [3045]P1(a177)
% 199.17/199.21 [3046]P2(a897)
% 199.17/199.21 [3047]P2(a900)
% 199.17/199.21 [3048]P65(a897)
% 199.17/199.21 [3049]P65(a901)
% 199.17/199.21 [3050]P65(a1)
% 199.17/199.21 [3051]P65(a89)
% 199.17/199.21 [3052]P66(a897)
% 199.17/199.21 [3053]P66(a901)
% 199.17/199.21 [3054]P107(a897)
% 199.17/199.21 [3055]P107(a901)
% 199.17/199.21 [3056]P107(a1)
% 199.17/199.21 [3057]P107(a89)
% 199.17/199.21 [3058]P108(a901)
% 199.17/199.21 [3059]P108(a1)
% 199.17/199.21 [3060]P108(a89)
% 199.17/199.21 [3061]P109(a897)
% 199.17/199.21 [3062]P109(a901)
% 199.17/199.21 [3063]P109(a1)
% 199.17/199.21 [3064]P109(a89)
% 199.17/199.21 [3065]P67(a897)
% 199.17/199.21 [3066]P67(a901)
% 199.17/199.21 [3067]P67(a1)
% 199.17/199.21 [3068]P68(a897)
% 199.17/199.21 [3069]P68(a901)
% 199.17/199.21 [3070]P68(a1)
% 199.17/199.21 [3071]P69(a897)
% 199.17/199.21 [3072]P3(a897)
% 199.17/199.21 [3073]P70(a897)
% 199.17/199.21 [3074]P70(a901)
% 199.17/199.21 [3075]P70(a1)
% 199.17/199.21 [3076]P70(a89)
% 199.17/199.21 [3077]P82(a1)
% 199.17/199.21 [3078]P71(a1)
% 199.17/199.21 [3079]P110(a1)
% 199.17/199.21 [3080]P103(a897)
% 199.17/199.21 [3081]P103(a901)
% 199.17/199.21 [3082]P103(a1)
% 199.17/199.21 [3083]P101(a897)
% 199.17/199.21 [3084]P101(a901)
% 199.17/199.21 [3085]P101(a1)
% 199.17/199.21 [3086]P72(a901)
% 199.17/199.21 [3087]P72(a1)
% 199.17/199.21 [3088]P72(a89)
% 199.17/199.21 [3089]P73(a901)
% 199.17/199.21 [3090]P73(a1)
% 199.17/199.21 [3091]P73(a89)
% 199.17/199.21 [3092]P74(a901)
% 199.17/199.21 [3093]P74(a1)
% 199.17/199.21 [3094]P74(a89)
% 199.17/199.21 [3095]P75(a901)
% 199.17/199.21 [3096]P75(a1)
% 199.17/199.21 [3097]P75(a89)
% 199.17/199.21 [3098]P86(a901)
% 199.17/199.21 [3099]P86(a1)
% 199.17/199.21 [3100]P86(a89)
% 199.17/199.21 [3101]P87(a901)
% 199.17/199.21 [3102]P87(a1)
% 199.17/199.21 [3103]P87(a89)
% 199.17/199.21 [3104]P78(a1)
% 199.17/199.21 [3105]P76(a901)
% 199.17/199.21 [3106]P76(a1)
% 199.17/199.21 [3107]P76(a89)
% 199.17/199.21 [3108]P111(a1)
% 199.17/199.21 [3109]P112(a901)
% 199.17/199.21 [3110]P112(a1)
% 199.17/199.21 [3111]P112(a89)
% 199.17/199.21 [3112]P139(a901)
% 199.17/199.21 [3113]P139(a1)
% 199.17/199.21 [3114]P139(a89)
% 199.17/199.21 [3115]P143(a901)
% 199.17/199.21 [3116]P143(a1)
% 199.17/199.21 [3117]P118(a901)
% 199.17/199.21 [3118]P118(a1)
% 199.17/199.21 [3119]P118(a89)
% 199.17/199.21 [3120]P79(a901)
% 199.17/199.21 [3121]P79(a1)
% 199.17/199.21 [3122]P79(a89)
% 199.17/199.21 [3123]P80(a1)
% 199.17/199.21 [3124]P119(a1)
% 199.17/199.21 [3125]P89(a897)
% 199.17/199.21 [3126]P90(a897)
% 199.17/199.21 [3127]P90(a1)
% 199.17/199.21 [3128]P120(a1)
% 199.17/199.21 [3129]P91(a901)
% 199.17/199.21 [3130]P91(a1)
% 199.17/199.21 [3131]P91(a89)
% 199.17/199.21 [3132]P113(a1)
% 199.17/199.21 [3133]P83(a901)
% 199.17/199.21 [3134]P83(a1)
% 199.17/199.21 [3135]P83(a89)
% 199.17/199.21 [3136]P84(a901)
% 199.17/199.21 [3137]P84(a1)
% 199.17/199.21 [3138]P84(a89)
% 199.17/199.21 [3139]P126(a901)
% 199.17/199.21 [3140]P126(a1)
% 199.17/199.21 [3141]P126(a89)
% 199.17/199.21 [3142]P140(a1)
% 199.17/199.21 [3143]P114(a897)
% 199.17/199.21 [3144]P102(a897)
% 199.17/199.21 [3145]P129(a1)
% 199.17/199.21 [3146]P95(a901)
% 199.17/199.21 [3147]P95(a1)
% 199.17/199.21 [3148]P95(a89)
% 199.17/199.21 [3149]P85(a901)
% 199.17/199.21 [3150]P85(a1)
% 199.17/199.21 [3151]P85(a89)
% 199.17/199.21 [3152]P132(a901)
% 199.17/199.21 [3153]P132(a1)
% 199.17/199.21 [3154]P132(a89)
% 199.17/199.21 [3155]P142(a1)
% 199.17/199.21 [3156]P133(a901)
% 199.17/199.21 [3157]P133(a1)
% 199.17/199.21 [3158]P133(a89)
% 199.17/199.21 [3159]P144(a901)
% 199.17/199.21 [3160]P144(a1)
% 199.17/199.21 [3161]P144(a89)
% 199.17/199.21 [3162]P92(a901)
% 199.17/199.21 [3163]P92(a1)
% 199.17/199.21 [3164]P92(a89)
% 199.17/199.21 [3165]P127(a1)
% 199.17/199.21 [3166]P128(a1)
% 199.17/199.21 [3167]P135(a901)
% 199.17/199.21 [3168]P135(a1)
% 199.17/199.21 [3169]P135(a89)
% 199.17/199.21 [3170]P137(a901)
% 199.17/199.21 [3171]P137(a1)
% 199.17/199.21 [3172]P137(a89)
% 199.17/199.21 [3173]P136(a901)
% 199.17/199.21 [3174]P136(a1)
% 199.17/199.21 [3175]P136(a89)
% 199.17/199.21 [3176]P124(a901)
% 199.17/199.21 [3177]P124(a1)
% 199.17/199.21 [3178]P124(a89)
% 199.17/199.21 [3179]P134(a901)
% 199.17/199.21 [3180]P134(a1)
% 199.17/199.21 [3181]P134(a89)
% 199.17/199.21 [3182]P130(a901)
% 199.17/199.21 [3183]P130(a1)
% 199.17/199.21 [3184]P130(a89)
% 199.17/199.21 [3185]P131(a1)
% 199.17/199.21 [3186]P141(a1)
% 199.17/199.21 [3187]P96(a1)
% 199.17/199.21 [3188]P115(a901)
% 199.17/199.21 [3189]P115(a1)
% 199.17/199.21 [3190]P115(a89)
% 199.17/199.21 [3191]P145(a901)
% 199.17/199.21 [3192]P145(a1)
% 199.17/199.21 [3193]P145(a89)
% 199.17/199.21 [3194]P93(a1)
% 199.17/199.21 [3195]P58(a901)
% 199.17/199.21 [3196]P58(a1)
% 199.17/199.21 [3197]P58(a89)
% 199.17/199.21 [3198]P59(a1)
% 199.17/199.21 [3199]P97(a1)
% 199.17/199.21 [3200]P98(a901)
% 199.17/199.21 [3201]P98(a1)
% 199.17/199.21 [3202]P98(a89)
% 199.17/199.21 [3203]P104(a901)
% 199.17/199.21 [3204]P104(a1)
% 199.17/199.21 [3205]P104(a89)
% 199.17/199.21 [3206]P146(a901)
% 199.17/199.21 [3207]P146(a1)
% 199.17/199.21 [3208]P146(a89)
% 199.17/199.21 [3209]P88(a1)
% 199.17/199.21 [3210]P138(a1)
% 199.17/199.21 [3211]P77(a1)
% 199.17/199.21 [3212]P81(a901)
% 199.17/199.21 [3213]P81(a1)
% 199.17/199.21 [3214]P81(a89)
% 199.17/199.21 [3215]P116(a901)
% 199.17/199.21 [3216]P94(a901)
% 199.17/199.21 [3217]P94(a1)
% 199.17/199.21 [3218]P94(a89)
% 199.17/199.21 [3219]P60(a897)
% 199.17/199.21 [3220]P60(a900)
% 199.17/199.21 [3221]P106(a897)
% 199.17/199.21 [3222]P106(a898)
% 199.17/199.21 [3223]P106(a901)
% 199.17/199.21 [3224]P106(a900)
% 199.17/199.21 [3225]P106(a89)
% 199.17/199.21 [3226]P106(a313)
% 199.17/199.21 [3227]P105(a900)
% 199.17/199.21 [3228]P105(a1)
% 199.17/199.21 [3229]P121(a901)
% 199.17/199.21 [3230]P121(a1)
% 199.17/199.21 [3231]P121(a89)
% 199.17/199.21 [3232]P117(a1)
% 199.17/199.21 [3233]P100(a897)
% 199.17/199.21 [3247]P34(a901,a230)
% 199.17/199.21 [3248]P34(a901,a307)
% 199.17/199.21 [3249]P35(a901,a230)
% 199.17/199.21 [4575]~E(a87,a77)
% 199.17/199.21 [4576]~P1(a229)
% 199.17/199.21 [3042]E(f2(a1),a77)
% 199.17/199.21 [3043]E(f3(a89),a4)
% 199.17/199.21 [3044]E(f90(a89),a5)
% 199.17/199.21 [3234]E(f91(a901),f178(a901))
% 199.17/199.21 [3235]E(f228(a901),f92(a901))
% 199.17/199.21 [3236]E(f179(a901),f2(a901))
% 199.17/199.21 [3237]E(f93(a1),f25(a1))
% 199.17/199.21 [3238]E(f78(a229),f2(a901))
% 199.17/199.21 [3239]E(f78(a177),f2(a901))
% 199.17/199.21 [3240]P4(f72(a1))
% 199.17/199.21 [3241]P4(f2(a1))
% 199.17/199.21 [3295]P34(f906(a901,a901),a26)
% 199.17/199.21 [3635]E(f309(a901,a901,a230,a230),a26)
% 199.17/199.21 [4577]~E(f72(a1),f2(a1))
% 199.17/199.21 [3242]E(f6(f2(a89)),f2(a901))
% 199.17/199.21 [3243]E(f101(f2(a901)),f2(a901))
% 199.17/199.21 [3251]E(f317(f73(a1),a77),a77)
% 199.17/199.21 [3254]E(f317(a102,f2(a901)),f72(a901))
% 199.17/199.21 [3255]E(f317(a95,f72(a1)),f72(a901))
% 199.17/199.21 [3256]E(f317(a5,f72(a901)),f72(a89))
% 199.17/199.21 [3258]E(f317(a5,f2(a901)),f2(a89))
% 199.17/199.21 [3260]E(f317(f94(a1),a77),f2(a1))
% 199.17/199.21 [3261]E(f317(f94(a89),a77),f2(a89))
% 199.17/199.21 [3262]E(f317(a95,f2(a1)),f2(a901))
% 199.17/199.21 [3263]E(f317(f94(a901),a77),f2(a901))
% 199.17/199.21 [3264]E(f317(f180(a897),a229),f2(a901))
% 199.17/199.21 [3265]E(f317(f180(a897),a177),f2(a901))
% 199.17/199.21 [3271]E(f317(f73(a1),f72(a1)),a87)
% 199.17/199.21 [3278]E(f317(f73(a1),f2(a1)),f2(a1))
% 199.17/199.21 [3279]E(f317(f90(a1),f72(a901)),f72(a1))
% 199.17/199.21 [3280]E(f317(f90(a1),f2(a901)),f2(a1))
% 199.17/199.21 [3282]E(f317(f180(a89),f2(a89)),f2(a901))
% 199.17/199.21 [3292]E(f317(a95,f72(a1)),f317(a102,f2(a901)))
% 199.17/199.21 [3293]E(f308(f906(a901,a901),a26),a27)
% 199.17/199.21 [3294]E(f310(f906(a901,a901),a26),a63)
% 199.17/199.21 [3296]P1(f317(f28(a899),a909))
% 199.17/199.21 [3321]E(f317(f272(a901),f2(a901)),f232(f907(a901,a897)))
% 199.17/199.21 [3322]E(f317(f290(a901),f2(a901)),f179(f907(a901,a897)))
% 199.17/199.21 [3330]P37(f179(f907(a1,a897)))
% 199.17/199.21 [3364]E(f317(f317(f3(a89),f2(a89)),f72(a89)),f2(a89))
% 199.17/199.21 [3440]P1(f317(f317(f225(a1),a87),f2(a1)))
% 199.17/199.21 [3460]E(f317(f300(a899,a896,a911),a909),a910)
% 199.17/199.21 [3465]P1(f317(f317(f224(a1),f2(a1)),f72(a1)))
% 199.17/199.21 [3467]P1(f317(f317(f225(a1),f2(a1)),f72(a1)))
% 199.17/199.21 [3665]E(f317(f317(f278(a901,a901,a901),a307),f297(a901,a307)),a230)
% 199.17/199.21 [3703]P38(a1,a901,a95,f317(f224(a1),f2(a1)))
% 199.17/199.21 [3707]E(f317(f317(f34(a901,f907(a901,a897)),f232(f907(a901,a897))),f291(a901)),f179(f907(a901,a897)))
% 199.17/199.21 [3708]E(f317(f317(f35(a901,f907(a901,a897)),f232(f907(a901,a897))),f292(a901)),f232(f907(a901,a897)))
% 199.17/199.21 [3709]E(f317(f317(f35(a901,f907(a901,a897)),f232(f907(a901,a897))),f272(a901)),f232(f907(a901,a897)))
% 199.17/199.21 [3710]E(f317(f317(f35(a901,f907(a901,a897)),f232(f907(a901,a897))),f290(a901)),f232(f907(a901,a897)))
% 199.17/199.21 [3726]P22(a901,a1,f90(a1),f232(f907(a901,a897)))
% 199.17/199.21 [3740]P38(a901,a1,f90(a1),f317(f18(a897,a901),a177))
% 199.17/199.21 [3868]E(f317(f67(a901,a89,a1,a5),a95),f94(a89))
% 199.17/199.21 [4088]P54(a89,a901,a22,a5,f232(f907(a901,a897)))
% 199.17/199.21 [4091]P54(a1,f907(f906(a901,a901),a897),a97,a83,a88)
% 199.17/199.21 [4341]E(f248(a1,a1,a1,a1,f25(a1),f73(a1)),a46)
% 199.17/199.21 [4586]~E(f317(f94(a1),a87),f317(f94(a1),a77))
% 199.17/199.21 [4587]~P1(f317(a184,f72(a1)))
% 199.17/199.21 [4588]~P1(f317(a184,f2(a1)))
% 199.17/199.21 [4611]~P1(f317(f317(f225(a1),a77),f2(a1)))
% 199.17/199.21 [3314]E(f317(f317(f3(a1),a87),a87),a77)
% 199.17/199.21 [3328]E(f317(f90(a1),f317(a102,f2(a901))),f72(a1))
% 199.17/199.21 [3393]E(f317(f29(a900),f232(f907(a900,a897))),f72(a901))
% 199.17/199.21 [3413]P1(f317(a184,f317(f94(a1),a87)))
% 199.17/199.21 [3414]P1(f317(f317(f319(a899),a800),a909))
% 199.17/199.21 [3416]P1(f317(f317(f224(a1),a87),a77))
% 199.17/199.21 [3418]P1(f317(f317(f225(a1),a87),a77))
% 199.17/199.21 [3475]E(f317(f317(f299(a901),f2(a901)),f179(f907(a901,a897))),f317(f292(a901),f2(a901)))
% 199.17/199.21 [3528]P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),a77)))
% 199.17/199.21 [3540]E(f317(f300(a901,a901,a102),f232(f907(a901,a897))),f317(f291(a901),f2(a901)))
% 199.17/199.21 [3575]P6(f906(a901,a901),f232(f907(f906(a901,a901),a897)),a99)
% 199.17/199.21 [3875]E(f317(f67(a901,a1,a89,f90(a1)),a22),a24)
% 199.17/199.21 [3938]P34(a901,f317(f252(f906(a901,a901)),f317(f247(a901,a901,a897),f225(a901))))
% 199.17/199.21 [4602]~P1(f317(a184,f317(f94(a1),a77)))
% 199.17/199.21 [4603]~P1(f317(f317(f224(a1),a77),a87))
% 199.17/199.21 [4604]~P1(f317(f317(f225(a1),a77),a77))
% 199.17/199.21 [4605]~P1(f317(f317(f225(a1),a77),a87))
% 199.17/199.21 [4606]~P1(f317(f317(f225(a1),a87),a87))
% 199.17/199.21 [4615]~P1(f317(f28(a901),f232(f907(a901,a897))))
% 199.17/199.21 [4616]~P1(f317(f28(a1),f232(f907(a1,a897))))
% 199.17/199.21 [4633]~P149(f317(f300(a899,a896,a911),a909),f317(f317(f299(a896),f317(a911,a800)),f179(f907(a896,a897))))
% 199.17/199.21 [4516]E(f317(f247(a1,a1,a897),f317(f317(f10(f907(a1,a897),f907(a1,a897),a1),f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a315),f317(f225(a1),f2(a1))))),f317(f317(f9(a1,a1,f907(a1,a897)),f317(f317(f10(f907(a1,f907(a1,a897)),f907(a1,f907(a1,a897)),a1),f9(a1,a1,a897)),f317(f317(f10(f907(a1,a1),f907(a1,f907(a1,a897)),a1),f317(f10(a1,f907(a1,a897),a1),a314)),a208))),f72(a1)))),a204)
% 199.17/199.21 [3637]E(f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a87)),a87),a87)
% 199.17/199.21 [3675]E(f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77),f317(f73(a1),a87))
% 199.17/199.21 [3712]E(f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77),f317(f317(f3(a1),a77),a87))
% 199.17/199.21 [3809]E(f317(f317(f55(f906(a901,a901)),f232(f907(f906(a901,a901),a897))),a99),a88)
% 199.17/199.21 [3877]E(f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)),f72(a1))
% 199.17/199.21 [3878]E(f317(f94(a89),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)),f72(a89))
% 199.17/199.21 [3879]E(f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)),f72(a901))
% 199.17/199.21 [3886]E(f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)),f317(a102,f2(a901)))
% 199.17/199.21 [4209]E(f317(f317(f91(f907(f906(f906(a901,a901),f906(a901,a901)),a897)),a26),f297(f906(a901,a901),f179(f907(f906(f906(a901,a901),f906(a901,a901)),a897)))),a65)
% 199.17/199.21 [4269]E(f317(a83,f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),f317(f317(f242(a901,a901),f72(a901)),f2(a901))),f179(f907(f906(a901,a901),a897))))),f72(a1))
% 199.17/199.21 [4270]E(f317(a83,f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),f317(f317(f242(a901,a901),f2(a901)),f2(a901))),f179(f907(f906(a901,a901),a897))))),f2(a1))
% 199.17/199.21 [4283]E(f317(f252(f906(a901,a901)),f317(f247(a901,a901,a897),f317(f317(f10(a901,f907(a901,a897),a901),f317(f9(a901,a901,a897),a314)),a102))),a307)
% 199.17/199.21 [4038]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)),a87),a77)
% 199.17/199.21 [4334]E(f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(a102,f317(a102,f317(a102,f2(a901)))))
% 199.17/199.21 [4399]P24(f907(f906(a901,a901),a897),f317(f317(f242(f907(f906(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897)),a897),f907(f906(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897)),a897)),a27),a64))
% 199.17/199.21 [4400]P24(f907(f906(a901,a901),a897),f317(f317(f242(f907(f906(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897)),a897),f907(f906(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897)),a897)),a63),a66))
% 199.17/199.21 [4410]P4(f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))))
% 199.17/199.21 [4437]E(f317(f317(f91(f907(f906(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897)),a897)),f310(f906(a901,a901),a65)),f317(f317(f299(f906(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897))),f317(f317(f242(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897)),f179(f907(f906(a901,a901),a897))),f179(f907(f906(a901,a901),a897)))),f179(f907(f906(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897)),a897)))),a66)
% 199.17/199.21 [4438]E(f317(f317(f91(f907(f906(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897)),a897)),f308(f906(a901,a901),a65)),f317(f317(f299(f906(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897))),f317(f317(f242(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897)),f179(f907(f906(a901,a901),a897))),f179(f907(f906(a901,a901),a897)))),f179(f907(f906(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897)),a897)))),a64)
% 199.17/199.21 [4444]E(f317(f90(a1),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)))),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))))
% 199.17/199.21 [4457]P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)))))
% 199.17/199.21 [4454]E(f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)),f317(a102,f317(a102,f2(a901))))
% 199.17/199.21 [4455]E(f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)),f317(f317(f74(a901),f72(a901)),f72(a901)))
% 199.17/199.21 [4456]E(f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)),f317(f29(a897),f232(f907(a897,a897))))
% 199.17/199.21 [4496]P4(f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))
% 199.17/199.21 [4497]E(f317(a95,f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f317(a102,f317(a102,f2(a901))))
% 199.17/199.21 [4518]E(f317(f90(a1),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))
% 199.17/199.21 [4531]P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))))
% 199.17/199.21 [3250]P5(x32501,a314)
% 199.17/199.21 [3636]P22(a901,a901,a102,x36361)
% 199.17/199.21 [3244]P106(f904(x32441))
% 199.17/199.21 [3245]P106(f902(x32451))
% 199.17/199.21 [3246]P106(f903(x32461))
% 199.17/199.21 [3266]P34(a1,f96(x32661))
% 199.17/199.21 [3267]P34(a1,f98(x32671))
% 199.17/199.21 [3317]P34(f907(x33171,a897),f304(x33171))
% 199.17/199.21 [3318]P35(f907(x33181,a897),f304(x33181))
% 199.17/199.21 [3342]E(f233(x33421,x33421,a314),a314)
% 199.17/199.21 [3357]E(f40(a1,x33571,x33571),f2(a1))
% 199.17/199.21 [3410]P12(x34101,f907(x34101,a897),f299(x34101))
% 199.17/199.21 [4579]~E(f317(a102,x45791),x45791)
% 199.17/199.21 [4585]~E(f317(a102,x45851),f2(a901))
% 199.17/199.21 [3252]E(f317(f94(a1),x32521),x32521)
% 199.17/199.21 [3253]E(f317(f180(a901),x32531),x32531)
% 199.17/199.21 [3268]E(f317(a83,f318(x32681)),x32681)
% 199.17/199.21 [3269]E(f317(a5,f565(x32691)),x32691)
% 199.17/199.21 [3270]E(f231(x32701,f2(a89)),f2(a89))
% 199.17/199.21 [3283]E(f104(x32831,f103(x32831)),f103(x32831))
% 199.17/199.21 [3284]E(f142(x32841,f103(x32841)),f103(x32841))
% 199.17/199.21 [3289]E(f317(f157(x32891),f103(x32891)),f103(x32891))
% 199.17/199.21 [3290]E(f317(f161(x32901),f103(x32901)),f103(x32901))
% 199.17/199.21 [3291]E(f317(f158(x32911),f103(x32911)),f103(x32911))
% 199.17/199.21 [3297]E(f317(f94(a1),x32971),f317(f93(a1),x32971))
% 199.17/199.21 [3298]E(f317(a83,f317(a97,x32981)),x32981)
% 199.17/199.21 [3300]E(f317(a5,f317(a22,x33001)),x33001)
% 199.17/199.21 [3301]E(f317(a22,f317(a5,x33011)),x33011)
% 199.17/199.21 [3303]P4(f317(f90(a1),x33031))
% 199.17/199.21 [3312]E(f317(f180(f902(x33121)),f103(x33121)),f2(a901))
% 199.17/199.21 [3313]E(f317(f180(f903(x33131)),f109(x33131)),f2(a901))
% 199.17/199.21 [3333]E(f317(f317(f3(a901),x33331),f2(a901)),x33331)
% 199.17/199.21 [3334]E(f317(f317(f178(a901),x33341),f2(a901)),x33341)
% 199.17/199.21 [3335]E(f317(f317(f74(a901),x33351),f2(a901)),x33351)
% 199.17/199.21 [3336]E(f317(f317(f74(a1),x33361),f2(a1)),x33361)
% 199.17/199.21 [3337]E(f317(f317(f75(a901),x33371),f72(a901)),x33371)
% 199.17/199.21 [3338]E(f317(f317(f75(a1),x33381),f72(a1)),x33381)
% 199.17/199.21 [3339]E(f317(f317(f228(a901),x33391),f2(a901)),f2(a901))
% 199.17/199.21 [3340]E(f317(f317(f75(a901),x33401),f2(a901)),f2(a901))
% 199.17/199.21 [3341]E(f317(f317(f30(a1),x33411),f2(a1)),f2(a1))
% 199.17/199.21 [3348]E(f317(f162(x33481),f103(x33481)),f179(f907(x33481,a897)))
% 199.17/199.21 [3352]P1(f317(f127(x33521),f103(x33521)))
% 199.17/199.21 [3358]E(f317(f144(x33581,x33581),f7(x33581)),f25(f902(x33581)))
% 199.17/199.21 [3359]E(f317(f144(x33591,x33591),f25(x33591)),f25(f902(x33591)))
% 199.17/199.21 [3360]E(f40(a1,x33601,f2(a1)),x33601)
% 199.17/199.21 [3361]E(f317(f224(a901),f317(a102,x33611)),f317(f225(a901),x33611))
% 199.17/199.21 [3362]E(f317(f272(a901),f317(a102,x33621)),f317(f291(a901),x33621))
% 199.17/199.21 [3363]E(f317(f290(a901),f317(a102,x33631)),f317(f292(a901),x33631))
% 199.17/199.21 [3365]E(f40(a1,f2(a1),x33651),f2(a1))
% 199.17/199.21 [3378]E(f317(f317(f74(a901),x33781),f72(a901)),f317(a102,x33781))
% 199.17/199.21 [3387]E(f317(f293(a901,x33871),f2(a901)),f179(f907(a901,a897)))
% 199.17/199.21 [3399]E(f294(a901,f2(a901),x33991),f317(f292(a901),x33991))
% 199.17/199.21 [3443]E(f317(f317(f3(a901),f317(a102,x34431)),f72(a901)),x34431)
% 199.17/199.21 [3455]E(f42(f2(a1),x34551),f317(f317(f242(a1,a1),f2(a1)),f2(a1)))
% 199.17/199.21 [3503]P1(f317(f317(f225(a901),x35031),f317(a102,x35031)))
% 199.17/199.21 [3515]P1(f317(f317(f225(a901),f2(a901)),f317(a102,x35151)))
% 199.17/199.21 [3739]E(f85(x37391,x37391,f232(f907(x37391,a897)),f25(x37391)),f25(x37391))
% 199.17/199.21 [3796]E(f317(f317(f3(a89),f317(a5,f317(a102,f317(a22,x37961)))),f72(a89)),x37961)
% 199.17/199.21 [3859]P1(f317(f317(f224(a1),f317(f73(a1),f317(f90(a1),x38591))),f2(a1)))
% 199.17/199.21 [4001]P1(f317(f317(f225(a1),f317(f73(a1),f317(f90(a1),f317(a102,x40011)))),f2(a1)))
% 199.17/199.21 [4591]~E(f232(f907(x45911,a897)),f179(f907(x45911,a897)))
% 199.17/199.21 [4614]~P1(f317(f317(f225(a901),x46141),f2(a901)))
% 199.17/199.21 [4623]~P1(f317(f317(f225(a1),f317(f90(a1),x46231)),f2(a1)))
% 199.17/199.21 [3302]E(f110(x33021,f109(f903(x33021))),f109(x33021))
% 199.17/199.21 [3316]E(f169(x33161,f103(f902(x33161))),f103(f902(x33161)))
% 199.17/199.21 [3319]E(f317(f317(f75(a1),a77),x33191),a77)
% 199.17/199.21 [3320]E(f317(f317(f74(a1),a77),x33201),x33201)
% 199.17/199.21 [3323]E(f317(a95,f317(f90(a1),x33231)),x33231)
% 199.17/199.21 [3324]E(f317(f317(f3(a1),x33241),a77),x33241)
% 199.17/199.21 [3325]E(f317(f317(f74(a1),x33251),a77),x33251)
% 199.17/199.21 [3327]E(f317(f317(f3(a901),x33271),x33271),f2(a901))
% 199.17/199.21 [3331]E(f317(f73(a1),f317(f73(a1),x33311)),x33311)
% 199.17/199.21 [3332]E(f317(f29(a901),f317(f290(a901),x33321)),x33321)
% 199.17/199.21 [3343]E(f317(f317(f178(a901),f2(a901)),x33431),x33431)
% 199.17/199.21 [3344]E(f317(f317(f74(a901),f2(a901)),x33441),x33441)
% 199.17/199.21 [3345]E(f317(f317(f74(a1),f2(a1)),x33451),x33451)
% 199.17/199.21 [3346]E(f317(f317(f75(a901),f72(a901)),x33461),x33461)
% 199.17/199.21 [3347]E(f317(f317(f75(a1),f72(a1)),x33471),x33471)
% 199.17/199.21 [3353]E(f317(f317(f3(a901),f2(a901)),x33531),f2(a901))
% 199.17/199.21 [3354]E(f317(f317(f228(a901),f2(a901)),x33541),f2(a901))
% 199.17/199.21 [3355]E(f317(f317(f75(a901),f2(a901)),x33551),f2(a901))
% 199.17/199.21 [3356]E(f317(f317(f30(a1),f2(a1)),x33561),f2(a1))
% 199.17/199.21 [3366]E(f118(x33661,f317(f73(a1),x33661)),f122(a1,x33661))
% 199.17/199.21 [3371]E(f317(f293(a901,f2(a901)),x33711),f317(f290(a901),x33711))
% 199.17/199.21 [3372]E(f317(f317(f75(a1),a87),x33721),f317(f73(a1),x33721))
% 199.17/199.21 [3380]E(f317(a95,f317(f94(a1),x33801)),f317(f94(a901),x33801))
% 199.17/199.21 [3381]E(f317(a22,f317(f94(a89),x33811)),f317(f94(a901),x33811))
% 199.17/199.21 [3382]E(f317(f29(a901),f317(f292(a901),x33821)),f317(a102,x33821))
% 199.17/199.21 [3391]E(f317(f317(f74(a901),f72(a901)),x33911),f317(a102,x33911))
% 199.17/199.21 [3395]E(f317(f93(a1),f317(f90(a1),x33951)),f317(f90(a1),x33951))
% 199.17/199.21 [3396]E(f317(f70(a1),f317(f90(a1),x33961)),f317(f90(a1),x33961))
% 199.17/199.21 [3400]E(f317(f29(x34001),f179(f907(x34001,a897))),f2(a901))
% 199.17/199.21 [3402]E(f317(f317(f30(a901),x34021),f317(a102,f2(a901))),x34021)
% 199.17/199.21 [3411]E(f40(a901,x34111,f317(a102,f2(a901))),f2(a901))
% 199.17/199.21 [3412]E(f40(a1,x34121,f317(f94(a1),a87)),f2(a1))
% 199.17/199.21 [3427]E(f317(f317(f30(a1),x34271),f317(f94(a1),a87)),f317(f73(a1),x34271))
% 199.17/199.21 [3431]E(f129(a901,f317(f293(a901,x34311),f2(a901))),f103(a901))
% 199.17/199.21 [3432]E(f317(f317(f74(a1),x34321),f72(a1)),f317(f317(f3(a1),x34321),a87))
% 199.17/199.21 [3433]E(f317(f317(f3(a1),x34331),f72(a1)),f317(f317(f74(a1),x34331),a87))
% 199.17/199.21 [3437]P1(f317(f317(f224(a901),x34371),x34371))
% 199.17/199.21 [3438]P1(f317(f317(f224(a1),x34381),x34381))
% 199.17/199.21 [3439]P1(f317(f317(f276(a901),x34391),x34391))
% 199.17/199.21 [3444]E(f317(f73(a1),f317(f94(a1),x34441)),f317(f94(a1),f317(f73(a1),x34441)))
% 199.17/199.21 [3445]P1(f317(f28(a901),f317(f292(a901),x34451)))
% 199.17/199.21 [3446]P1(f317(f28(a901),f317(f290(a901),x34461)))
% 199.17/199.21 [3453]E(f151(x34531,f232(f907(x34531,a897))),f232(f907(f902(x34531),a897)))
% 199.17/199.21 [3458]P1(f317(f317(f224(a901),f2(a901)),x34581))
% 199.17/199.21 [3469]E(f317(f317(f74(a901),f101(x34691)),f317(a102,f2(a901))),f101(f317(a102,x34691)))
% 199.17/199.21 [3470]E(f317(f252(x34701),f317(f18(a897,x34701),a229)),f179(f907(x34701,a897)))
% 199.17/199.21 [3471]E(f317(f252(x34711),f317(f18(a897,x34711),a177)),f232(f907(x34711,a897)))
% 199.17/199.21 [3474]E(f317(f317(f299(a901),x34741),f317(f290(a901),x34741)),f317(f290(a901),f317(a102,x34741)))
% 199.17/199.21 [3486]E(f317(f317(f74(a1),f72(a1)),f317(f90(a1),x34861)),f317(f90(a1),f317(a102,x34861)))
% 199.17/199.21 [3488]E(f317(f317(f141(f902(x34881)),f103(x34881)),f103(f902(x34881))),f49(x34881,f103(x34881)))
% 199.17/199.21 [3506]E(f179(f907(f906(x35061,x35061),a897)),f253(x35061,f179(f907(x35061,a897))))
% 199.17/199.21 [3507]E(f317(f298(x35071),f232(f907(x35071,a897))),f232(f907(f907(x35071,a897),a897)))
% 199.17/199.21 [3508]E(f317(f73(f907(x35081,a897)),f179(f907(x35081,a897))),f232(f907(x35081,a897)))
% 199.17/199.21 [3509]E(f317(f73(f907(x35091,a897)),f232(f907(x35091,a897))),f179(f907(x35091,a897)))
% 199.17/199.21 [3511]P1(f317(f28(x35111),f179(f907(x35111,a897))))
% 199.17/199.21 [3513]E(f317(f293(a901,x35131),f317(a102,x35131)),f317(f317(f299(a901),x35131),f179(f907(a901,a897))))
% 199.17/199.21 [3514]E(f79(f906(a901,a901),f43(x35141,f2(a901))),f317(f317(f242(a901,a901),f2(a901)),x35141))
% 199.17/199.21 [3527]E(f317(f317(f299(a901),f317(a102,x35271)),f317(f292(a901),x35271)),f317(f292(a901),f317(a102,x35271)))
% 199.17/199.21 [3531]P34(x35311,f179(f907(f906(x35311,x35311),a897)))
% 199.17/199.21 [3532]P36(x35321,f179(f907(f906(x35321,x35321),a897)))
% 199.17/199.21 [3535]P1(f317(f317(f224(a1),f2(a1)),f317(f90(a1),x35351)))
% 199.17/199.21 [3542]E(f317(f317(f74(a901),f317(f180(a901),x35421)),f317(a102,f2(a901))),f317(f180(a901),f317(a102,x35421)))
% 199.17/199.21 [3644]P37(f317(f300(a901,a1,f90(a1)),x36441))
% 199.17/199.21 [3681]P50(x36811,f179(f907(x36811,a897)),f179(f907(f906(x36811,x36811),a897)))
% 199.17/199.21 [3699]E(f317(f317(f242(a1,a1),f317(f94(a1),a87)),f317(f317(f3(a1),x36991),f72(a1))),f45(f317(f94(a1),a87),x36991))
% 199.17/199.21 [3752]P57(x37521,f317(f18(f907(x37521,a897),x37521),f317(f18(a897,x37521),a229)))
% 199.17/199.21 [3764]E(f279(a901,f276(a901),x37641,x37641),f317(f317(f299(a901),x37641),f179(f907(a901,a897))))
% 199.17/199.21 [3950]P1(f317(f317(f319(f907(f906(a901,a901),a897)),f318(x39501)),a88))
% 199.17/199.21 [3973]P1(f317(f317(f319(f907(f906(a901,a901),a897)),f317(a97,x39731)),a88))
% 199.17/199.21 [4100]P22(x41001,f907(x41001,a897),f317(f317(f9(x41001,f907(x41001,a897),f907(x41001,a897)),f299(x41001)),f179(f907(x41001,a897))),f232(f907(x41001,a897)))
% 199.17/199.21 [4601]~E(f317(a5,f317(a102,f317(a22,x46011))),f2(a89))
% 199.17/199.21 [4607]~P1(f317(a184,f317(f90(a1),x46071)))
% 199.17/199.21 [4610]~P1(f317(f317(f225(a901),x46101),x46101))
% 199.17/199.21 [4618]~P1(f317(f317(f224(a901),f317(a102,x46181)),x46181))
% 199.17/199.21 [3461]E(f317(a95,f317(f73(a1),f317(f90(a1),x34611))),f2(a901))
% 199.17/199.21 [3464]E(f317(f317(f74(a1),f317(f73(a1),x34641)),x34641),f2(a1))
% 199.17/199.21 [3468]E(f317(f29(a1),f317(f293(a1,f2(a1)),x34681)),f317(a95,x34681))
% 199.17/199.21 [3479]E(f317(f317(f234(a901),f317(a102,f2(a901))),x34791),f317(a102,f2(a901)))
% 199.17/199.21 [3572]E(f317(f271(x35721),f179(f907(f906(x35721,x35721),a897))),f179(f907(x35721,a897)))
% 199.17/199.21 [3579]E(f31(f907(x35791,a897),f179(f907(f907(x35791,a897),a897))),f179(f907(x35791,a897)))
% 199.17/199.21 [3580]E(f31(f907(x35801,a897),f232(f907(f907(x35801,a897),a897))),f232(f907(x35801,a897)))
% 199.17/199.21 [3581]E(f32(f907(x35811,a897),f179(f907(f907(x35811,a897),a897))),f232(f907(x35811,a897)))
% 199.17/199.21 [3582]E(f32(f907(x35821,a897),f232(f907(f907(x35821,a897),a897))),f179(f907(x35821,a897)))
% 199.17/199.21 [3586]P1(f317(f317(f276(a901),f317(a102,f2(a901))),x35861))
% 199.17/199.21 [3626]E(f317(f317(f299(f902(x36261)),f103(x36261)),f179(f907(f902(x36261),a897))),f151(x36261,f179(f907(x36261,a897))))
% 199.17/199.21 [3627]E(f317(f317(f299(f902(x36271)),f103(x36271)),f179(f907(f902(x36271),a897))),f152(x36271,f103(f907(x36271,a897))))
% 199.17/199.21 [3664]E(f317(f317(f74(a901),f6(x36641)),f317(a102,f2(a901))),f6(f317(a5,f317(a102,f317(a22,x36641)))))
% 199.17/199.21 [3690]E(f317(f29(a1),f317(f300(a901,a1,f90(a1)),x36901)),f317(f29(a901),x36901))
% 199.17/199.21 [3693]P1(f317(f317(f224(a901),x36931),f317(f317(f75(a901),x36931),x36931)))
% 199.17/199.21 [3730]E(f317(f300(a1,a901,a95),f294(a1,f2(a1),f317(f90(a1),x37301))),f317(f292(a901),x37301))
% 199.17/199.21 [3747]E(f317(f317(f30(a901),f317(a102,f2(a901))),f317(f94(a901),x37471)),f317(a95,f317(f317(f30(a1),f72(a1)),f317(f94(a1),x37471))))
% 199.17/199.21 [3749]E(f317(f162(a901),f129(a901,f317(f293(a901,f2(a901)),f317(a102,x37491)))),f317(f292(a901),x37491))
% 199.17/199.21 [3750]E(f317(f317(f74(a901),f317(f180(a89),x37501)),f317(a102,f2(a901))),f317(f180(a89),f317(a5,f317(a102,f317(a22,x37501)))))
% 199.17/199.21 [3770]P36(x37701,f297(x37701,f179(f907(f906(x37701,x37701),a897))))
% 199.17/199.21 [3771]P49(x37711,f297(x37711,f179(f907(f906(x37711,x37711),a897))))
% 199.17/199.21 [3772]E(f317(f300(a1,a901,a95),f317(f300(a901,a1,f90(a1)),x37721)),x37721)
% 199.17/199.21 [3802]E(f317(f317(f299(a901),f2(a901)),f317(f300(a901,a901,a102),f317(f290(a901),x38021))),f317(f290(a901),f317(a102,x38021)))
% 199.17/199.21 [3808]P52(x38081,x38081,f297(x38081,f179(f907(f906(x38081,x38081),a897))))
% 199.17/199.21 [3814]P1(f317(a184,f317(f73(a1),f317(f90(a1),f317(a102,x38141)))))
% 199.17/199.21 [3824]E(f317(f317(f3(f907(a901,a897)),f317(f272(a901),x38241)),f317(f317(f299(a901),x38241),f179(f907(a901,a897)))),f317(f272(a901),f317(a102,x38241)))
% 199.17/199.21 [3849]E(f317(f317(f299(f907(x38491,a897)),f179(f907(x38491,a897))),f179(f907(f907(x38491,a897),a897))),f317(f298(x38491),f179(f907(x38491,a897))))
% 199.17/199.21 [3880]E(f317(f317(f3(f907(a901,a897)),f317(f291(a901),x38801)),f317(f317(f299(a901),f317(a102,x38801)),f179(f907(a901,a897)))),f317(f291(a901),f317(a102,x38801)))
% 199.17/199.21 [4349]P12(x43491,f907(x43491,a897),f317(f317(f10(f907(x43491,a897),f907(f907(x43491,a897),f907(x43491,a897)),x43491),f317(f9(f907(x43491,a897),f907(x43491,a897),f907(x43491,a897)),f3(f907(x43491,a897)))),f317(f317(f9(x43491,f907(x43491,a897),f907(x43491,a897)),f299(x43491)),f179(f907(x43491,a897)))))
% 199.17/199.21 [4436]E(f317(f252(f906(a1,a1)),f317(f247(a1,a1,a897),f317(f317(f10(f907(a1,a897),f907(a1,a897),a1),f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a315),f317(f224(a1),x44361)))),f225(a1)))),f98(x44361))
% 199.17/199.21 [4475]E(f317(f252(f906(a1,a1)),f317(f247(a1,a1,a897),f317(f317(f20(a1,f907(a1,a897),f907(a1,a897)),f317(f317(f10(f907(a897,a897),f907(f907(a1,a897),f907(a1,a897)),a1),f10(a897,a897,a1)),f317(f317(f10(a897,f907(a897,a897),a1),a315),f317(f224(a1),x44751)))),f225(a1)))),f96(x44751))
% 199.17/199.21 [4538]E(f317(f252(f906(f907(x45381,a897),f907(x45381,a897))),f317(f247(f907(x45381,a897),f907(x45381,a897),a897),f317(f317(f9(f907(x45381,a897),f907(f907(x45381,a897),a897),f907(f907(x45381,a897),a897)),f317(f317(f10(f907(f907(x45381,a897),f907(a897,a897)),f907(f907(f907(x45381,a897),a897),f907(f907(x45381,a897),a897)),f907(x45381,a897)),f20(f907(x45381,a897),a897,a897)),f317(f317(f10(f907(f907(x45381,a897),a897),f907(f907(x45381,a897),f907(a897,a897)),f907(x45381,a897)),f317(f10(a897,f907(a897,a897),f907(x45381,a897)),a315)),f225(f907(x45381,a897))))),f28(x45381)))),f304(x45381))
% 199.17/199.21 [4622]~P1(f317(f28(f902(x46221)),f232(f907(f902(x46221),a897))))
% 199.17/199.21 [4632]~P1(f317(f317(f224(a1),f2(a1)),f317(f73(a1),f317(f90(a1),f317(a102,x46321)))))
% 199.17/199.21 [3606]E(f317(f317(f3(a1),f317(f317(f74(a1),x36061),a87)),a87),x36061)
% 199.17/199.21 [3619]E(f317(f162(a901),f129(a901,f317(f293(a901,f2(a901)),x36191))),f317(f290(a901),x36191))
% 199.17/199.21 [3907]E(f317(f275(x39071,x39071),f297(x39071,f179(f907(f906(x39071,x39071),a897)))),f297(x39071,f179(f907(f906(x39071,x39071),a897))))
% 199.17/199.21 [3951]P1(f317(f317(f224(a901),x39511),f317(f317(f75(a901),x39511),f317(f317(f75(a901),x39511),x39511))))
% 199.17/199.21 [4213]P1(f317(f28(a901),f317(f252(a901),f317(f317(f9(a901,a901,a897),f224(a901)),x42131))))
% 199.17/199.21 [4214]P1(f317(f28(a901),f317(f252(a901),f317(f317(f9(a901,a901,a897),f225(a901)),x42141))))
% 199.17/199.21 [4489]E(f317(f252(f906(x44891,x44891)),f317(f317(f10(f907(x44891,a897),a897,f906(x44891,x44891)),f80(x44891)),f317(f317(f9(f906(x44891,x44891),f907(x44891,f906(x44891,x44891)),f907(x44891,a897)),f317(f317(f10(f907(f906(x44891,x44891),a897),f907(f907(x44891,f906(x44891,x44891)),f907(x44891,a897)),f906(x44891,x44891)),f10(f906(x44891,x44891),a897,x44891)),a314)),f317(f317(f20(x44891,x44891,f906(x44891,x44891)),f242(x44891,x44891)),f7(x44891))))),f297(x44891,f179(f907(f906(x44891,x44891),a897))))
% 199.17/199.21 [4625]~E(f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x46251)),x46251),a77)
% 199.17/199.21 [4626]~E(f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x46261)),x46261),f2(a1))
% 199.17/199.21 [4080]E(f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f3(a1),a87),x40801))),f317(f317(f3(a1),a87),x40801)),f317(f317(f3(a1),a77),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x40801)),x40801)))
% 199.17/199.21 [4194]E(f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f73(a1),x41941)),a87))),f317(f317(f74(a1),f317(f73(a1),x41941)),a87)),f317(f73(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x41941)),x41941)))
% 199.17/199.21 [4264]E(f317(a83,f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),f317(f317(f242(a901,a901),x42641),f2(a901))),f179(f907(f906(a901,a901),a897))))),f317(f90(a1),x42641))
% 199.17/199.21 [4275]E(f317(a83,f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),f317(f317(f242(a901,a901),f322(x42751)),f492(x42751))),f179(f907(f906(a901,a901),a897))))),x42751)
% 199.17/199.21 [4281]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f3(a1),a87),x42811))),f317(f317(f3(a1),a87),x42811))),a87),f317(f317(f3(a1),a87),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x42811)),x42811)))
% 199.17/199.21 [4313]E(f317(f252(a1),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a315),f317(f224(a1),f2(a1)))),x43131)),f317(f300(a901,a1,f90(a1)),f317(f252(a901),f317(f317(f10(a1,a897,a901),x43131),f90(a1)))))
% 199.17/199.21 [4357]P37(f317(f252(a1),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a315),f317(f224(a1),f2(a1)))),x43571)))
% 199.17/199.21 [4378]P1(f317(f317(f319(f906(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897))),f317(f317(f242(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897)),x43781),f179(f907(f906(a901,a901),a897)))),a66))
% 199.17/199.21 [4383]E(f317(f300(a1,a901,a95),f317(f252(a1),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a315),f317(f224(a1),f2(a1)))),f317(f317(f10(a901,a897,a1),x43831),a95)))),f317(f252(a901),x43831))
% 199.17/199.21 [4552]E(f302(a901,f317(f317(f35(f906(a901,a901),f907(a901,a897)),f317(a97,x45521)),f317(f247(a901,a901,f907(a901,a897)),f317(f317(f9(a901,f907(a901,a897),f907(a901,f907(a901,a897))),f317(f317(f10(f907(a901,f907(f907(a901,a897),f907(a901,a897))),f907(f907(a901,a897),f907(a901,f907(a901,a897))),a901),f9(a901,f907(a901,a897),f907(a901,a897))),f317(f317(f10(f907(a901,a901),f907(a901,f907(f907(a901,a897),f907(a901,a897))),a901),f317(f10(a901,f907(f907(a901,a897),f907(a901,a897)),a901),f299(a901))),f3(a901)))),f179(f907(a901,a897)))))),f317(a95,x45521))
% 199.17/199.21 [4053]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x40531)),x40531)),a87),f317(f317(f74(a1),x40531),x40531))
% 199.17/199.21 [4298]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f3(a1),x42981),a87))),f317(f317(f3(a1),x42981),a87))),a87),f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x42981)),x42981)),a87))
% 199.17/199.21 [4636]~E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x46361)),x46361)),a87),a87)
% 199.17/199.21 [4260]E(f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x42601)),x42601)),a87)),f317(f317(f82(a901,a901),f317(f94(a901),x42601)),f317(f317(f20(a901,a901,a901),f74(a901)),f7(a901))))
% 199.17/199.21 [4266]E(f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f3(a1),a87),x42661))),f317(f317(f3(a1),a87),x42661)),f317(f317(f3(a1),a87),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x42661)),x42661)),a87)))
% 199.17/199.21 [4296]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f73(a1),x42961))),f317(f73(a1),x42961))),a87),f317(f73(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x42961)),x42961)),a87)))
% 199.17/199.21 [4322]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f3(a1),a77),x43221))),f317(f317(f3(a1),a77),x43221))),a87),f317(f317(f3(a1),a77),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x43221)),x43221)),a87)))
% 199.17/199.21 [4566]E(f317(a83,f317(f317(f35(f906(a901,a901),f907(f906(a901,a901),a897)),f317(a97,x45661)),f317(f247(a901,a901,f907(f906(a901,a901),a897)),f317(f317(f10(f907(a901,f907(f906(a901,a901),a897)),f907(a901,f907(f906(a901,a901),a897)),a901),f317(f10(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897),a901),f274(f906(a901,a901),f906(a901,a901),a99))),f317(f317(f9(a901,f907(f906(a901,a901),a897),f907(a901,f907(f906(a901,a901),a897))),f317(f317(f10(f907(a901,f907(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897))),f907(f907(f906(a901,a901),a897),f907(a901,f907(f906(a901,a901),a897))),a901),f9(a901,f907(f906(a901,a901),a897),f907(f906(a901,a901),a897))),f317(f317(f10(f907(a901,f906(a901,a901)),f907(a901,f907(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897))),a901),f317(f10(f906(a901,a901),f907(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897)),a901),f299(f906(a901,a901)))),f317(f9(a901,a901,f906(a901,a901)),f242(a901,a901))))),f179(f907(f906(a901,a901),a897))))))),f317(f73(a1),x45661))
% 199.17/199.21 [4325]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x43251)),x43251)),a87)),a87),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),x43251),a87))),f317(f317(f74(a1),x43251),a87)))
% 199.17/199.21 [4458]E(f317(f317(f74(a901),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)))),x44581),f317(a102,f317(a102,f317(a102,x44581))))
% 199.17/199.21 [4498]E(f317(f317(f74(a901),x44981),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f317(a102,f317(a102,x44981)))
% 199.17/199.21 [4499]E(f317(f317(f75(a901),x44991),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f317(f317(f74(a901),x44991),x44991))
% 199.17/199.21 [4500]E(f317(f317(f30(a901),f317(f317(f74(a901),x45001),x45001)),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x45001)
% 199.17/199.21 [4532]E(f40(a901,f317(a102,f317(a102,x45321)),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f40(a901,x45321,f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))))
% 199.17/199.21 [4529]E(f317(f317(f74(a901),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x45291),f317(a102,f317(a102,x45291)))
% 199.17/199.21 [4530]E(f317(f317(f75(a901),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x45301),f317(f317(f74(a901),x45301),x45301))
% 199.17/199.21 [4542]E(f317(f317(f30(a901),f317(a102,f317(a102,x45421))),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f317(a102,f317(f317(f30(a901),x45421),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))))
% 199.17/199.21 [4573]E(f317(f247(a1,a1,f906(a1,a1)),f317(f317(f20(a1,f907(a1,f906(a1,a1)),f907(a1,f906(a1,a1))),f317(f317(f10(f907(a1,f907(f906(a1,a1),f906(a1,a1))),f907(f907(a1,f906(a1,a1)),f907(a1,f906(a1,a1))),a1),f20(a1,f906(a1,a1),f906(a1,a1))),f317(f317(f10(f907(a1,f906(a1,a1)),f907(a1,f907(f906(a1,a1),f906(a1,a1))),a1),f317(f20(a1,f906(a1,a1),f907(f906(a1,a1),f906(a1,a1))),f317(f317(f10(a897,f907(f906(a1,a1),f907(f906(a1,a1),f906(a1,a1))),a1),f86(f906(a1,a1))),f317(f317(f10(a1,a897,a1),f317(f224(a1),f2(a1))),f317(f317(f9(a1,a1,a1),f3(a1)),x45731))))),f317(f317(f9(a1,f907(a1,a1),f907(a1,f906(a1,a1))),f317(f317(f10(f907(a1,f906(a1,a1)),f907(f907(a1,a1),f907(a1,f906(a1,a1))),a1),f10(a1,f906(a1,a1),a1)),f317(f317(f10(a1,f907(a1,f906(a1,a1)),a1),f242(a1,a1)),f317(f317(f9(a1,a1,a1),f317(f317(f10(a1,f907(a1,a1),a1),f74(a1)),f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))))),f72(a1))))),f317(f317(f9(a1,a1,a1),f3(a1)),x45731))))),f317(f317(f10(a1,f907(a1,f906(a1,a1)),a1),f242(a1,a1)),f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))))),f38(x45731))
% 199.17/199.21 [3286]P106(f906(x32861,x32862))
% 199.17/199.21 [3287]P106(f908(x32871,x32872))
% 199.17/199.21 [3288]P106(f905(x32881,x32882))
% 199.17/199.21 [3306]P11(a1,f168(x33061,x33062))
% 199.17/199.21 [3307]P34(x33071,f143(x33071,x33072))
% 199.17/199.21 [3308]P35(x33081,f253(x33081,x33082))
% 199.17/199.21 [3309]P35(x33091,f297(x33091,x33092))
% 199.17/199.21 [3310]P36(x33101,f253(x33101,x33102))
% 199.17/199.21 [3311]P49(x33111,f253(x33111,x33112))
% 199.17/199.21 [3373]P28(x33731,x33732,f103(x33731))
% 199.17/199.21 [3406]P50(x34061,x34062,f253(x34061,x34062))
% 199.17/199.21 [3407]P52(x34071,x34071,f253(x34071,x34072))
% 199.17/199.21 [3667]P22(x36671,x36671,f7(x36671),x36672)
% 199.17/199.21 [3668]P22(x36681,x36681,f25(x36681),x36682)
% 199.17/199.21 [3677]P29(x36771,x36772,f103(x36771),f103(x36771))
% 199.17/199.21 [3684]P22(f902(x36841),f902(x36841),f158(x36841),x36842)
% 199.17/199.21 [4078]P23(x40781,x40781,f25(x40781),x40782,x40782)
% 199.17/199.21 [4596]~P30(x45961,x45962,f103(x45961))
% 199.17/199.21 [4597]~P32(x45971,x45972,f103(x45971))
% 199.17/199.21 [3272]E(f317(f7(x32721),x32722),x32722)
% 199.17/199.21 [3273]E(f317(f252(x32731),x32732),x32732)
% 199.17/199.21 [3275]E(f317(f25(x32751),x32752),x32752)
% 199.17/199.21 [3285]E(f317(f182(x32851),x32852),f105(x32851))
% 199.17/199.21 [3304]E(f79(x33041,f317(a314,x33042)),x33042)
% 199.17/199.21 [3305]E(f84(x33051,f317(a314,x33052)),x33052)
% 199.17/199.21 [3326]E(f317(f115(x33261,x33262),f109(x33261)),f2(a901))
% 199.17/199.21 [3329]E(f317(f126(x33291,x33292),f103(x33291)),f103(x33291))
% 199.17/199.21 [3349]E(f297(x33491,f297(x33491,x33492)),f297(x33491,x33492))
% 199.17/199.21 [3350]E(f142(x33501,f142(x33501,x33502)),f142(x33501,x33502))
% 199.17/199.21 [3368]E(f317(f317(f124(x33681),x33682),f103(x33681)),x33682)
% 199.17/199.21 [3374]E(f163(x33741,x33742,f103(x33741)),x33742)
% 199.17/199.21 [3375]E(f163(x33751,f103(x33751),x33752),x33752)
% 199.17/199.21 [3376]E(f106(x33761,f109(x33761),x33762),x33762)
% 199.17/199.21 [3377]E(f159(x33771,f2(a901),x33772),f103(x33771))
% 199.17/199.21 [3383]E(f317(f317(f165(x33831),x33832),f103(x33831)),f103(x33831))
% 199.17/199.21 [3384]E(f317(f317(f128(x33841),x33842),f103(x33841)),f103(x33841))
% 199.17/199.21 [3386]E(f145(x33861,x33862,f103(x33861)),f2(a901))
% 199.17/199.21 [3388]E(f160(x33881,x33882,f103(x33881)),f103(x33881))
% 199.17/199.21 [3389]E(f167(x33891,x33892,f103(x33891)),f103(x33891))
% 199.17/199.21 [3390]E(f166(x33901,f103(x33901),x33902),f103(x33901))
% 199.17/199.21 [3394]E(f317(f162(x33941),f142(x33941,x33942)),f317(f162(x33941),x33942))
% 199.17/199.21 [3397]E(f317(f273(x33971,x33971),f253(x33971,x33972)),x33972)
% 199.17/199.21 [3398]E(f317(f254(x33981,x33981),f253(x33981,x33982)),x33982)
% 199.17/199.21 [3405]E(f317(f275(x34051,x34051),f253(x34051,x34052)),f253(x34051,x34052))
% 199.17/199.21 [3419]E(f297(f902(x34191),f147(x34191,x34192)),f148(x34191,f297(x34191,x34192)))
% 199.17/199.21 [3421]P1(f317(f127(a1),f168(x34211,x34212)))
% 199.17/199.21 [3429]E(f317(f273(x34291,x34291),f297(x34291,x34292)),f232(f907(x34291,a897)))
% 199.17/199.21 [3430]E(f317(f254(x34301,x34301),f297(x34301,x34302)),f232(f907(x34301,a897)))
% 199.17/199.21 [3434]P1(f317(f127(x34341),f142(x34341,x34342)))
% 199.17/199.21 [3436]P1(f317(f150(x34361,x34362),f103(x34361)))
% 199.17/199.21 [3442]E(f317(f162(a1),f168(x34421,x34422)),f294(a1,x34421,x34422))
% 199.17/199.21 [3456]P53(x34561,f179(f907(x34561,a897)),x34562)
% 199.17/199.21 [3462]E(f317(f246(a1,a1),f41(x34621,x34622)),f40(a1,x34621,x34622))
% 199.17/199.21 [3463]E(f317(f293(a901,x34631),f317(a102,x34632)),f294(a901,x34631,x34632))
% 199.17/199.21 [3478]E(f317(f317(f141(x34781),x34782),f103(x34781)),f130(x34781,x34782,f103(x34781)))
% 199.17/199.21 [3490]E(f294(a901,f317(a102,x34901),x34902),f295(a901,x34901,x34902))
% 199.17/199.21 [3491]P50(x34911,f232(f907(x34911,a897)),f297(x34911,x34912))
% 199.17/199.21 [3553]E(f317(f317(f3(a901),x35531),f317(a102,x35532)),f317(f29(a901),f296(a901,x35532,x35531)))
% 199.17/199.21 [3607]E(f156(x36071,x36072,f103(x36071)),f317(f317(f242(f902(x36071),f902(x36071)),f103(x36071)),f103(x36071)))
% 199.17/199.21 [3624]E(f317(f247(x36241,x36242,f906(x36241,x36242)),f242(x36241,x36242)),f25(f906(x36241,x36242)))
% 199.17/199.21 [3628]P1(f317(f317(f319(f902(x36281)),f103(x36281)),f151(x36281,x36282)))
% 199.17/199.21 [3629]E(f317(f180(f902(x36291)),f104(x36291,x36292)),f317(f317(f3(a901),f317(f180(f902(x36291)),x36292)),f72(a901)))
% 199.17/199.21 [3638]P1(f317(f28(a901),f296(a901,x36381,x36382)))
% 199.17/199.21 [3639]P1(f317(f28(a901),f295(a901,x36391,x36392)))
% 199.17/199.21 [3640]P1(f317(f28(a901),f294(a901,x36401,x36402)))
% 199.17/199.21 [3641]P1(f317(f28(a1),f296(a1,x36411,x36412)))
% 199.17/199.21 [3642]P1(f317(f28(a1),f295(a1,x36421,x36422)))
% 199.17/199.21 [3643]P1(f317(f28(a1),f294(a1,x36431,x36432)))
% 199.17/199.21 [3746]E(f317(f300(a901,a901,a102),f294(a901,x37461,x37462)),f294(a901,f317(a102,x37461),f317(a102,x37462)))
% 199.17/199.21 [3766]E(f317(f317(f278(x37661,x37661,x37661),f297(x37661,x37662)),f297(x37661,x37662)),f297(x37661,x37662))
% 199.17/199.21 [3800]E(f317(f317(f242(a1,a1),f317(f317(f30(a1),x38001),x38002)),f40(a1,x38001,x38002)),f41(x38001,x38002))
% 199.17/199.21 [3801]E(f317(f317(f242(a89,a89),f317(f317(f30(a89),x38011),x38012)),f40(a89,x38011,x38012)),f23(x38011,x38012))
% 199.17/199.21 [3828]E(f317(f317(f242(a901,a901),f317(f317(f30(a901),x38281),x38282)),f40(a901,x38281,x38282)),f79(f906(a901,a901),f43(x38281,x38282)))
% 199.17/199.21 [3872]P1(f317(f317(f225(a901),f317(f317(f3(a901),x38721),x38722)),f317(a102,x38721)))
% 199.17/199.21 [3924]P35(x39241,f317(f317(f278(x39241,x39241,x39241),x39242),f297(x39241,x39242)))
% 199.17/199.21 [3972]E(f317(f317(f74(a1),f317(f317(f75(a1),x39721),f317(f317(f30(a1),x39722),x39721))),f40(a1,x39722,x39721)),x39722)
% 199.17/199.21 [3976]E(f317(f317(f35(a901,f907(f906(f902(x39761),f902(x39761)),a897)),f232(f907(a901,a897))),f133(x39761,x39762)),f135(x39761,x39762))
% 199.17/199.21 [4190]P1(f317(f317(f319(f906(f902(x41901),f902(x41901))),f317(f317(f242(f902(x41901),f902(x41901)),f103(x41901)),f103(x41901))),f148(x41901,x41902)))
% 199.17/199.21 [4293]E(f243(x42931,x42931,x42931,a314,f243(x42931,x42931,x42931,x42932,a314)),x42932)
% 199.17/199.21 [4343]E(f248(x43431,x43431,x43432,x43432,f7(x43431),f7(x43432)),f25(f906(x43431,x43432)))
% 199.17/199.21 [4345]E(f248(x43451,x43451,x43452,x43452,f25(x43451),f25(x43452)),f25(f906(x43451,x43452)))
% 199.17/199.21 [3367]E(f317(f158(x33671),f317(f158(x33671),x33672)),x33672)
% 199.17/199.21 [3369]E(f317(f317(f128(x33691),f2(a901)),x33692),x33692)
% 199.17/199.21 [3385]E(f317(f317(f165(x33851),f2(a901)),x33852),f103(x33851))
% 199.17/199.21 [3392]E(f317(f317(f124(x33921),f103(x33921)),x33922),x33922)
% 199.17/199.21 [3401]E(f31(f907(x34011,a897),f317(f298(x34011),x34012)),x34012)
% 199.17/199.21 [3403]E(f317(f162(x34031),f317(f157(x34031),x34032)),f317(f162(x34031),x34032))
% 199.17/199.21 [3404]E(f317(f162(x34041),f317(f158(x34041),x34042)),f317(f162(x34041),x34042))
% 199.17/199.21 [3409]E(f317(f317(f3(a89),x34091),x34092),f317(f317(a4,x34091),x34092))
% 199.17/199.21 [3423]E(f317(f317(f74(a901),x34231),x34232),f317(f317(f74(a901),x34232),x34231))
% 199.17/199.21 [3424]E(f317(f317(f74(a1),x34241),x34242),f317(f317(f74(a1),x34242),x34241))
% 199.17/199.21 [3425]E(f317(f317(f75(a901),x34251),x34252),f317(f317(f75(a901),x34252),x34251))
% 199.17/199.21 [3426]E(f317(f317(f75(a1),x34261),x34262),f317(f317(f75(a1),x34262),x34261))
% 199.17/199.21 [3448]E(f317(f317(f173(x34481,x34481),f2(a901)),x34482),f25(x34481))
% 199.17/199.21 [3449]E(f317(f180(f902(x34491)),f317(f157(x34491),x34492)),f317(f180(f902(x34491)),x34492))
% 199.17/199.21 [3450]E(f317(f180(f902(x34501)),f317(f158(x34501),x34502)),f317(f180(f902(x34501)),x34502))
% 199.17/199.21 [3451]E(f166(x34511,x34512,f179(f907(a901,a897))),f103(x34511))
% 199.17/199.21 [3452]E(f317(f317(f144(x34521,x34521),f7(x34521)),x34522),x34522)
% 199.17/199.21 [3454]E(f317(f241(a1,a1),f41(x34541,x34542)),f317(f317(f30(a1),x34541),x34542))
% 199.17/199.21 [3472]E(f317(f180(f902(x34721)),f142(x34721,x34722)),f317(f29(x34721),f317(f162(x34721),x34722)))
% 199.17/199.21 [3473]E(f317(f271(x34731),f317(f275(x34731,x34731),x34732)),f317(f271(x34731),x34732))
% 199.17/199.21 [3477]P1(f317(f28(x34771),f317(f162(x34771),x34772)))
% 199.17/199.21 [3485]E(f317(f317(f74(a1),x34851),f317(f73(a1),x34852)),f317(f317(f3(a1),x34851),x34852))
% 199.17/199.21 [3492]E(f317(f300(x34921,x34921,f7(x34921)),x34922),x34922)
% 199.17/199.21 [3493]E(f317(f300(x34931,x34931,f25(x34931)),x34932),x34932)
% 199.17/199.21 [3494]E(f317(f301(x34941,x34941,f7(x34941)),x34942),x34942)
% 199.17/199.21 [3495]E(f317(f301(x34951,x34951,f25(x34951)),x34952),x34952)
% 199.17/199.21 [3496]P1(f317(f232(f907(x34961,a897)),x34962))
% 199.17/199.21 [3498]E(f317(f29(a901),f317(f293(a901,x34981),x34982)),f317(f317(f3(a901),x34982),x34981))
% 199.17/199.21 [3499]E(f317(f293(a901,f317(a102,x34991)),x34992),f296(a901,x34991,x34992))
% 199.17/199.21 [3512]E(f317(f317(f299(x35121),x35122),f179(f907(x35121,a897))),f317(f252(x35121),f317(a314,x35122)))
% 199.17/199.21 [3517]E(f297(x35171,f317(f275(x35171,x35171),x35172)),f317(f275(x35171,x35171),f297(x35171,x35172)))
% 199.17/199.21 [3522]E(f317(f317(f74(a901),f317(a102,x35221)),x35222),f317(f317(f74(a901),x35221),f317(a102,x35222)))
% 199.17/199.21 [3523]E(f317(f317(f3(a901),f317(a102,x35231)),f317(a102,x35232)),f317(f317(f3(a901),x35231),x35232))
% 199.17/199.21 [3529]E(f50(x35291,f2(a901),x35292),f317(f317(f141(f902(x35291)),f103(x35291)),f103(f902(x35291))))
% 199.17/199.21 [3530]E(f317(f29(a901),f295(a901,x35301,x35302)),f317(f317(f3(a901),x35302),x35301))
% 199.17/199.21 [3539]P34(x35391,f317(f317(f277(a901,x35391),a230),x35392))
% 199.17/199.21 [3541]P11(a901,f129(a901,f317(f293(a901,x35411),x35412)))
% 199.17/199.21 [3543]P1(f317(f28(a901),f317(f293(a901,x35431),x35432)))
% 199.17/199.21 [3544]P1(f317(f28(a1),f317(f293(a1,x35441),x35442)))
% 199.17/199.21 [3547]E(f317(f275(f902(x35471),f902(x35471)),f147(x35471,x35472)),f147(x35471,f317(f275(x35471,x35471),x35472)))
% 199.17/199.21 [3549]E(f317(f293(a1,x35491),f317(f317(f74(a1),x35492),f72(a1))),f294(a1,x35491,x35492))
% 199.17/199.21 [3552]E(f317(f317(f30(a1),f317(f73(a1),x35521)),f317(f73(a1),x35522)),f317(f317(f30(a1),x35521),x35522))
% 199.17/199.21 [3560]E(f317(f317(f173(f906(x35601,x35601),a897),f72(a901)),x35602),x35602)
% 199.17/199.21 [3562]E(f317(f317(f91(f907(x35621,a897)),x35622),f179(f907(x35621,a897))),x35622)
% 199.17/199.21 [3563]E(f317(f317(f3(f907(x35631,a897)),x35632),f179(f907(x35631,a897))),x35632)
% 199.17/199.21 [3564]E(f317(f317(f92(f907(x35641,a897)),x35642),f232(f907(x35641,a897))),x35642)
% 199.17/199.21 [3565]E(f317(f241(a901,a901),f79(f906(a901,a901),f43(x35651,x35652))),f317(f317(f30(a901),x35651),x35652))
% 199.17/199.21 [3571]E(f294(a1,f317(f317(f74(a1),x35711),f72(a1)),x35712),f295(a1,x35711,x35712))
% 199.17/199.21 [3576]E(f317(f246(a901,a901),f79(f906(a901,a901),f43(x35761,x35762))),f40(a901,x35761,x35762))
% 199.17/199.21 [3585]P1(f317(f317(f319(x35851),x35852),f232(f907(x35851,a897))))
% 199.17/199.21 [3590]E(f317(f317(f3(a901),f317(a102,x35901)),x35902),f317(f29(a901),f294(a901,x35902,x35901)))
% 199.17/199.21 [3615]E(f317(f317(f91(f907(x36151,a897)),x36152),f232(f907(x36151,a897))),f232(f907(x36151,a897)))
% 199.17/199.21 [3616]E(f317(f317(f3(f907(x36161,a897)),x36162),f232(f907(x36161,a897))),f179(f907(x36161,a897)))
% 199.17/199.21 [3617]E(f317(f317(f92(f907(x36171,a897)),x36172),f179(f907(x36171,a897))),f179(f907(x36171,a897)))
% 199.17/199.21 [3632]E(f40(a1,f317(f73(a1),x36321),f317(f73(a1),x36322)),f317(f73(a1),f40(a1,x36321,x36322)))
% 199.17/199.21 [3633]E(f40(a1,f317(f90(a1),x36331),f317(f90(a1),x36332)),f317(f90(a1),f40(a901,x36331,x36332)))
% 199.17/199.21 [3645]E(f317(f180(f902(x36451)),f317(f161(x36451),x36452)),f317(f317(f3(a901),f317(f180(f902(x36451)),x36452)),f72(a901)))
% 199.17/199.21 [3669]E(f317(f317(f30(a1),f40(a1,x36691,x36692)),x36692),f2(a1))
% 199.17/199.21 [3679]E(f317(a5,f40(a901,f317(a22,x36791),f317(a22,x36792))),f40(a89,x36791,x36792))
% 199.17/199.21 [3713]E(f317(a5,f317(f317(f3(a901),f317(a22,x37131)),f317(a22,x37132))),f317(f317(f3(a89),x37131),x37132))
% 199.17/199.21 [3714]E(f317(a5,f317(f317(f74(a901),f317(a22,x37141)),f317(a22,x37142))),f317(f317(f74(a89),x37141),x37142))
% 199.17/199.21 [3715]E(f317(a5,f317(f317(f75(a901),f317(a22,x37151)),f317(a22,x37152))),f317(f317(f75(a89),x37151),x37152))
% 199.17/199.21 [3716]E(f317(a5,f317(f317(f30(a901),f317(a22,x37161)),f317(a22,x37162))),f317(f317(f30(a89),x37161),x37162))
% 199.17/199.21 [3724]E(f317(f300(a901,a901,a102),f317(f293(a901,x37241),x37242)),f317(f293(a901,f317(a102,x37241)),f317(a102,x37242)))
% 199.17/199.21 [3751]P1(f317(f43(x37511,x37512),f79(f906(a901,a901),f43(x37511,x37512))))
% 199.17/199.21 [3775]E(f40(a901,f317(a102,f40(a901,x37751,x37752)),x37752),f40(a901,f317(a102,x37751),x37752))
% 199.17/199.21 [3787]E(f317(f317(f35(f907(x37871,a897),f907(x37871,a897)),x37872),f7(f907(x37871,a897))),f31(f907(x37871,a897),x37872))
% 199.17/199.21 [3788]E(f317(f317(f34(f907(x37881,a897),f907(x37881,a897)),x37882),f7(f907(x37881,a897))),f32(f907(x37881,a897),x37882))
% 199.17/199.21 [3789]E(f317(f300(f902(x37891),f907(x37891,a897),f162(x37891)),f317(f162(f902(x37891)),f49(x37891,x37892))),f317(f298(x37891),f317(f162(x37891),x37892)))
% 199.17/199.21 [3793]P1(f317(f317(f319(f907(x37931,a897)),x37932),f317(f298(x37931),x37932)))
% 199.17/199.21 [3799]E(f40(a1,f317(f73(a1),f40(a1,x37991,x37992)),x37992),f40(a1,f317(f73(a1),x37991),x37992))
% 199.17/199.21 [3810]P1(f317(f317(f224(f907(x38101,a897)),x38102),f232(f907(x38101,a897))))
% 199.17/199.21 [3812]E(f317(f317(f278(x38121,x38121,x38121),f297(x38121,x38122)),f297(x38121,f297(x38121,x38122))),f297(x38121,x38122))
% 199.17/199.21 [3813]E(f317(f317(f91(f907(x38131,a897)),f317(f254(x38131,x38131),x38132)),f317(f273(x38131,x38131),x38132)),f317(f271(x38131),x38132))
% 199.17/199.21 [3834]E(f303(x38341,x38342,f232(f907(x38341,a897)),f232(f907(x38342,a897))),f232(f907(f908(x38341,x38342),a897)))
% 199.17/199.21 [3881]P1(f317(f317(f224(a901),f40(a901,x38811,x38812)),x38811))
% 199.17/199.21 [3905]P1(f317(f317(f224(a1),f317(f73(a1),f317(f90(a1),x39051))),f317(f90(a1),x39052)))
% 199.17/199.21 [3929]P1(f317(f317(f319(f907(x39291,a897)),f179(f907(x39291,a897))),f317(f298(x39291),x39292)))
% 199.17/199.21 [3934]E(f297(x39341,f317(f317(f278(x39341,x39341,x39341),x39342),f297(x39341,x39342))),f297(x39341,x39342))
% 199.17/199.21 [3937]E(f317(f317(f278(x39371,x39371,x39371),f297(x39371,x39372)),x39372),f317(f317(f278(x39371,x39371,x39371),x39372),f297(x39371,x39372)))
% 199.17/199.21 [3939]E(f317(a95,f317(f317(f74(a1),f317(f317(f3(a1),x39391),x39392)),f72(a1))),f317(f29(a1),f294(a1,x39392,x39391)))
% 199.17/199.21 [3952]E(f317(f273(x39521,x39521),f317(f317(f278(x39521,x39521,x39521),x39522),f297(x39521,x39522))),f317(f273(x39521,x39521),x39522))
% 199.17/199.21 [3953]E(f317(f254(x39531,x39531),f317(f317(f278(x39531,x39531,x39531),x39532),f297(x39531,x39532))),f317(f254(x39531,x39531),x39532))
% 199.17/199.21 [3971]E(f317(f132(f902(x39711),f902(x39711),f124(x39711),f103(x39711)),f159(f902(x39711),x39712,f103(x39711))),f103(x39711))
% 199.17/199.21 [3980]P22(a901,a901,f317(f317(f9(a901,a901,a901),f74(a901)),x39801),x39802)
% 199.17/199.21 [3982]P11(a901,f317(f158(a901),f317(f317(f144(f902(x39821),a901),f180(f902(x39821))),f169(x39821,x39822))))
% 199.17/199.21 [4009]P49(x40091,f317(f317(f91(f907(f906(x40091,x40091),a897)),x40092),f317(f275(x40091,x40091),x40092)))
% 199.17/199.21 [4010]P49(x40101,f317(f317(f92(f907(f906(x40101,x40101),a897)),x40102),f317(f275(x40101,x40101),x40102)))
% 199.17/199.21 [4021]P1(f317(f317(f225(a1),f317(f73(a1),f317(f90(a1),f317(a102,x40211)))),f317(f90(a1),x40212)))
% 199.17/199.21 [4067]E(f317(f132(f902(x40671),x40671,f317(f9(x40671,f902(x40671),f902(x40671)),f141(x40671)),f103(x40671)),x40672),f317(f158(x40671),x40672))
% 199.17/199.21 [4114]P1(f317(f317(f224(f907(f906(f902(x41141),f902(x41141)),a897)),f148(x41141,x41142)),f297(f902(x41141),f147(x41141,x41142))))
% 199.17/199.21 [4142]P1(f317(f43(x41421,x41422),f317(f317(f242(a901,a901),f317(f317(f30(a901),x41421),x41422)),f40(a901,x41421,x41422))))
% 199.17/199.21 [4154]P1(f317(f317(f224(f907(f906(f902(x41541),f902(x41541)),a897)),f147(x41541,f297(x41541,x41542))),f297(f902(x41541),f147(x41541,x41542))))
% 199.17/199.21 [4369]E(f317(f317(f249(f906(a89,a89),a89,f906(a89,a89),f906(x43691,f906(a89,a89))),f257(f317(f155(a89),f317(f317(f144(f906(a89,x43691),a89),f241(a89,x43691)),x43692)))),f317(f317(f10(x43691,f907(f906(a89,a89),f906(x43691,f906(a89,a89))),a89),f242(x43691,f906(a89,a89))),f258(x43691,x43692))),f256(x43691,x43692))
% 199.17/199.21 [4445]E(f214(a901,f906(x44451,f903(x44451)),f2(a901),f317(f247(x44451,f903(x44451),a901),f317(f18(f907(f903(x44451),a901),x44451),f317(f317(f9(f903(x44451),a901,a901),f317(f317(f10(a901,f907(a901,a901),f903(x44451)),f74(a901)),f180(f903(x44451)))),f72(a901)))),f317(f125(x44451),x44452)),f317(f180(f903(x44451)),x44452))
% 199.17/199.21 [4565]E(f317(f247(f907(f906(x45651,x45651),a897),f907(f906(x45651,x45651),a897),f907(f907(x45652,x45651),f906(f907(f906(x45652,x45652),a897),f907(f906(x45652,x45652),a897)))),f317(f317(f9(f907(f906(x45651,x45651),a897),f907(f907(f906(x45651,x45651),a897),f907(f907(x45652,x45651),f907(f906(x45652,x45652),a897))),f907(f907(f906(x45651,x45651),a897),f907(f907(x45652,x45651),f906(f907(f906(x45652,x45652),a897),f907(f906(x45652,x45652),a897))))),f317(f317(f10(f907(f907(f907(x45652,x45651),f907(f906(x45652,x45652),a897)),f907(f907(x45652,x45651),f906(f907(f906(x45652,x45652),a897),f907(f906(x45652,x45652),a897)))),f907(f907(f907(f906(x45651,x45651),a897),f907(f907(x45652,x45651),f907(f906(x45652,x45652),a897))),f907(f907(f906(x45651,x45651),a897),f907(f907(x45652,x45651),f906(f907(f906(x45652,x45652),a897),f907(f906(x45652,x45652),a897))))),f907(f906(x45651,x45651),a897)),f10(f907(f907(x45652,x45651),f907(f906(x45652,x45652),a897)),f907(f907(x45652,x45651),f906(f907(f906(x45652,x45652),a897),f907(f906(x45652,x45652),a897))),f907(f906(x45651,x45651),a897))),f317(f317(f10(f907(f907(x45652,x45651),f907(f907(f906(x45652,x45652),a897),f906(f907(f906(x45652,x45652),a897),f907(f906(x45652,x45652),a897)))),f907(f907(f907(x45652,x45651),f907(f906(x45652,x45652),a897)),f907(f907(x45652,x45651),f906(f907(f906(x45652,x45652),a897),f907(f906(x45652,x45652),a897)))),f907(f906(x45651,x45651),a897)),f20(f907(x45652,x45651),f907(f906(x45652,x45652),a897),f906(f907(f906(x45652,x45652),a897),f907(f906(x45652,x45652),a897)))),f317(f317(f10(f907(f907(x45652,x45651),f907(f906(x45652,x45652),a897)),f907(f907(x45652,x45651),f907(f907(f906(x45652,x45652),a897),f906(f907(f906(x45652,x45652),a897),f907(f906(x45652,x45652),a897)))),f907(f906(x45651,x45651),a897)),f317(f10(f907(f906(x45652,x45652),a897),f907(f907(f906(x45652,x45652),a897),f906(f907(f906(x45652,x45652),a897),f907(f906(x45652,x45652),a897))),f907(x45652,x45651)),f242(f907(f906(x45652,x45652),a897),f907(f906(x45652,x45652),a897)))),f277(x45651,x45652))))),f277(x45651,x45652))),f68(x45651,x45652))
% 199.17/199.21 [4608]~E(f317(f298(x46081),x46082),f179(f907(f907(x46081,a897),a897)))
% 199.17/199.21 [4617]~P1(f317(f317(f162(x46171),f103(x46171)),x46172))
% 199.17/199.21 [4621]~P1(f317(f317(f319(x46211),x46212),f179(f907(x46211,a897))))
% 199.17/199.21 [4627]~P1(f317(f317(f225(f907(x46271,a897)),x46272),f179(f907(x46271,a897))))
% 199.17/199.21 [3501]E(f317(f317(f3(a901),x35011),f317(f317(f74(a901),x35011),x35012)),f2(a901))
% 199.17/199.21 [3504]E(f317(f317(f91(f907(x35041,a897)),x35042),x35042),x35042)
% 199.17/199.21 [3505]E(f317(f317(f92(f907(x35051,a897)),x35052),x35052),x35052)
% 199.17/199.21 [3533]E(f317(f317(f3(f907(x35331,a897)),x35332),x35332),f179(f907(x35331,a897)))
% 199.17/199.21 [3536]E(f317(f133(x35361,x35362),f2(a901)),f179(f907(f906(f902(x35361),f902(x35361)),a897)))
% 199.17/199.21 [3537]E(f317(f317(f74(a901),x35371),f317(a102,x35372)),f317(a102,f317(f317(f74(a901),x35371),x35372)))
% 199.17/199.21 [3548]E(f185(f317(f90(a1),x35481),f317(f90(a1),x35482)),f317(f90(a1),f317(f317(f3(a901),x35481),x35482)))
% 199.17/199.21 [3551]E(f317(f317(f30(a1),f317(f73(a1),x35511)),x35512),f317(f317(f30(a1),x35511),f317(f73(a1),x35512)))
% 199.17/199.21 [3555]E(f317(f29(a1),f317(f293(a1,x35551),x35552)),f317(a95,f317(f317(f3(a1),x35552),x35551)))
% 199.17/199.21 [3558]E(f317(f317(f74(a901),f317(a102,x35581)),x35582),f317(a102,f317(f317(f74(a901),x35581),x35582)))
% 199.17/199.21 [3561]E(f317(f73(f907(x35611,a897)),f317(f73(f907(x35611,a897)),x35612)),x35612)
% 199.17/199.21 [3573]E(f169(x35731,f317(f317(f141(f902(x35731)),f103(x35731)),x35732)),f169(x35731,x35732))
% 199.17/199.21 [3577]E(f317(f317(f74(a901),x35771),f317(f317(f75(a901),x35771),x35772)),f317(f317(f75(a901),x35771),f317(a102,x35772)))
% 199.17/199.21 [3583]E(f317(f317(a4,f317(a5,x35831)),f317(a5,x35832)),f317(a5,f317(f317(f3(a901),x35831),x35832)))
% 199.17/199.21 [3598]E(f317(f317(f75(a1),f317(f73(a1),x35981)),x35982),f317(f73(a1),f317(f317(f75(a1),x35981),x35982)))
% 199.17/199.21 [3600]E(f317(f317(f234(a1),f317(f90(a1),x36001)),x36002),f317(f90(a1),f317(f317(f234(a901),x36001),x36002)))
% 199.17/199.21 [3601]E(f317(f317(f228(a901),f317(a102,x36011)),f317(a102,x36012)),f317(a102,f317(f317(f228(a901),x36011),x36012)))
% 199.17/199.21 [3602]E(f317(f317(f178(a901),f317(a102,x36021)),f317(a102,x36022)),f317(a102,f317(f317(f178(a901),x36021),x36022)))
% 199.17/199.21 [3603]E(f317(f317(f74(a89),f317(a5,x36031)),f317(a5,x36032)),f317(a5,f317(f317(f74(a901),x36031),x36032)))
% 199.17/199.21 [3604]E(f317(f317(f75(a89),f317(a5,x36041)),f317(a5,x36042)),f317(a5,f317(f317(f75(a901),x36041),x36042)))
% 199.17/199.21 [3609]E(f317(f162(a901),f129(a901,f317(f293(a901,x36091),x36092))),f317(f293(a901,x36091),x36092))
% 199.17/199.21 [3610]E(f302(x36101,f317(f317(f299(x36101),x36102),f179(f907(x36101,a897)))),x36102)
% 199.17/199.21 [3613]E(f317(f273(x36131,x36132),f179(f907(f906(x36131,x36132),a897))),f179(f907(x36132,a897)))
% 199.17/199.21 [3614]E(f317(f254(x36141,x36142),f179(f907(f906(x36141,x36142),a897))),f179(f907(x36141,a897)))
% 199.17/199.21 [3618]E(f317(a95,f317(f317(f3(a1),x36181),x36182)),f317(f29(a1),f295(a1,x36182,x36181)))
% 199.17/199.21 [3623]E(f317(f317(f74(a901),x36231),f317(f317(f75(a901),x36232),x36231)),f317(f317(f75(a901),f317(a102,x36232)),x36231))
% 199.17/199.21 [3625]E(f317(f317(f55(x36251),f179(f907(x36251,a897))),x36252),f179(f907(f907(x36251,a897),a897)))
% 199.17/199.21 [3634]E(f317(f180(f902(a901)),f129(a901,f317(f293(a901,x36341),x36342))),f317(f317(f3(a901),x36342),x36341))
% 199.17/199.21 [3649]E(f317(f317(f91(f907(x36491,a897)),f179(f907(x36491,a897))),x36492),x36492)
% 199.17/199.21 [3650]E(f317(f317(f92(f907(x36501,a897)),f232(f907(x36501,a897))),x36502),x36502)
% 199.17/199.21 [3651]E(f317(f317(f74(a1),f317(f73(a1),x36511)),f317(f73(a1),x36512)),f317(f73(a1),f317(f317(f74(a1),x36511),x36512)))
% 199.17/199.21 [3654]E(f317(f317(f74(a1),f317(f94(a1),x36541)),f317(f94(a1),x36542)),f317(f94(a1),f317(f317(f74(a1),x36541),x36542)))
% 199.17/199.21 [3656]E(f317(f317(f74(a1),f317(f90(a1),x36561)),f317(f90(a1),x36562)),f317(f90(a1),f317(f317(f74(a901),x36561),x36562)))
% 199.17/199.21 [3657]E(f317(f317(f75(a1),f317(f94(a1),x36571)),f317(f94(a1),x36572)),f317(f94(a1),f317(f317(f75(a1),x36571),x36572)))
% 199.17/199.21 [3659]E(f317(f317(f75(a1),f317(f90(a1),x36591)),f317(f90(a1),x36592)),f317(f90(a1),f317(f317(f75(a901),x36591),x36592)))
% 199.17/199.21 [3660]E(f317(f317(f30(a1),f317(f90(a1),x36601)),f317(f90(a1),x36602)),f317(f90(a1),f317(f317(f30(a901),x36601),x36602)))
% 199.17/199.21 [3680]E(f317(f317(f8(x36801,a901),f317(f18(a901,x36801),f72(a901))),x36802),f317(f29(x36801),x36802))
% 199.17/199.21 [3685]E(f317(f73(a1),f40(a1,f317(f73(a1),x36851),x36852)),f40(a1,x36851,f317(f73(a1),x36852)))
% 199.17/199.21 [3687]E(f317(f162(a1),f168(x36871,f317(f317(f3(a1),x36872),f72(a1)))),f317(f293(a1,x36871),x36872))
% 199.17/199.21 [3691]P1(f317(f317(f224(a901),x36911),f317(f317(f74(a901),x36912),x36911)))
% 199.17/199.21 [3692]P1(f317(f317(f224(a901),x36921),f317(f317(f74(a901),x36921),x36922)))
% 199.17/199.21 [3695]E(f317(f317(f91(f907(x36951,a897)),f232(f907(x36951,a897))),x36952),f232(f907(x36951,a897)))
% 199.17/199.21 [3696]E(f317(f317(f3(f907(x36961,a897)),f179(f907(x36961,a897))),x36962),f179(f907(x36961,a897)))
% 199.17/199.21 [3697]E(f317(f317(f92(f907(x36971,a897)),f179(f907(x36971,a897))),x36972),f179(f907(x36971,a897)))
% 199.17/199.21 [3704]E(f317(f317(f242(a1,a1),x37041),f317(f73(a1),x37042)),f317(a46,f317(f317(f242(a1,a1),x37041),x37042)))
% 199.17/199.21 [3705]E(f317(f293(a1,f317(f317(f74(a1),x37051),f72(a1))),x37052),f296(a1,x37051,x37052))
% 199.17/199.21 [3717]E(f317(f317(f75(a901),x37171),f317(f317(f30(a901),x37172),x37171)),f317(f317(f3(a901),x37172),f40(a901,x37172,x37171)))
% 199.17/199.21 [3718]E(f317(f317(f75(a1),x37181),f317(f317(f30(a1),x37182),x37181)),f317(f317(f3(a1),x37182),f40(a1,x37182,x37181)))
% 199.17/199.21 [3721]E(f317(f162(a1),f168(f317(f317(f74(a1),x37211),f72(a1)),x37212)),f295(a1,x37211,x37212))
% 199.17/199.21 [3725]P1(f317(f317(f224(f907(x37251,a897)),x37252),x37252))
% 199.17/199.21 [3728]E(f317(f317(f91(f907(x37281,a897)),x37282),f317(f73(f907(x37281,a897)),x37282)),f232(f907(x37281,a897)))
% 199.17/199.21 [3729]E(f317(f317(f92(f907(x37291,a897)),x37292),f317(f73(f907(x37291,a897)),x37292)),f179(f907(x37291,a897)))
% 199.17/199.21 [3737]E(f317(f317(f3(a901),f317(f317(f3(a901),x37371),f72(a901))),x37372),f317(f317(f3(a901),x37371),f317(a102,x37372)))
% 199.17/199.21 [3743]E(f317(f317(f3(f907(x37431,a897)),f232(f907(x37431,a897))),x37432),f317(f73(f907(x37431,a897)),x37432))
% 199.17/199.21 [3744]E(f317(f317(f3(a1),f317(f94(a1),x37441)),f317(f94(a1),x37442)),f317(f94(a1),f317(f317(f74(a1),x37441),f317(f73(a1),x37442))))
% 199.17/199.21 [3757]E(f317(f162(a901),f129(a901,f317(f293(a901,x37571),f317(a102,x37572)))),f294(a901,x37571,x37572))
% 199.17/199.21 [3773]E(f317(f180(f902(f902(x37731))),f49(x37731,x37732)),f317(f317(f234(a901),f317(a102,f317(a102,f2(a901)))),f317(f180(f902(x37731)),x37732)))
% 199.17/199.21 [3791]E(f317(f317(f173(f906(x37911,x37911),a897),f2(a901)),x37912),f297(x37911,f179(f907(f906(x37911,x37911),a897))))
% 199.17/199.21 [3795]P1(f317(f127(a901),f129(a901,f317(f293(a901,x37951),x37952))))
% 199.17/199.21 [3811]E(f317(f300(a1,a901,a95),f294(a1,f317(f90(a1),x38111),f317(f90(a1),x38112))),f294(a901,x38111,x38112))
% 199.17/199.21 [3820]E(f175(a901,f2(a901),f7(a901),f317(f317(f3(a901),x38201),x38202)),f317(f317(f3(a901),x38201),f317(a102,x38202)))
% 199.17/199.21 [3821]E(f317(a95,f317(f317(f3(a1),x38211),f317(f317(f74(a1),x38212),f72(a1)))),f317(f29(a1),f296(a1,x38212,x38211)))
% 199.17/199.21 [3850]E(f317(f317(f144(a901,a901),a102),f129(a901,f317(f293(a901,x38501),x38502))),f129(a901,f317(f293(a901,f317(a102,x38501)),f317(a102,x38502))))
% 199.17/199.21 [3857]E(f317(f162(a1),f168(f317(f317(f74(a1),x38571),f72(a1)),f317(f317(f3(a1),x38572),f72(a1)))),f296(a1,x38571,x38572))
% 199.17/199.21 [3869]P1(f317(f317(f224(f907(x38691,a897)),f179(f907(x38691,a897))),x38692))
% 199.17/199.21 [3873]E(f79(x38731,f317(f317(f9(x38731,x38731,a897),a314),x38732)),x38732)
% 199.17/199.21 [3874]E(f84(x38741,f317(f317(f9(x38741,x38741,a897),a314),x38742)),x38742)
% 199.17/199.21 [3882]E(f317(f162(a901),f129(a901,f317(f293(a901,f317(a102,x38821)),f317(a102,x38822)))),f295(a901,x38821,x38822))
% 199.17/199.21 [3908]E(f317(f317(f244(x39081,x39082),f232(f907(x39081,a897))),f317(f18(f907(x39082,a897),x39081),f232(f907(x39082,a897)))),f232(f907(f906(x39081,x39082),a897)))
% 199.17/199.21 [3941]E(f317(f252(x39411),f317(f317(f10(a897,a897,x39411),a312),x39412)),f317(f73(f907(x39411,a897)),f317(f252(x39411),x39412)))
% 199.17/199.21 [3944]E(f317(f252(x39441),f317(f317(f9(x39441,x39441,a897),a314),x39442)),f317(f317(f299(x39441),x39442),f179(f907(x39441,a897))))
% 199.17/199.21 [3966]P1(f317(f317(f224(a901),f317(f29(x39661),f317(f162(x39661),x39662))),f317(f180(f902(x39661)),x39662)))
% 199.17/199.21 [3967]P1(f317(f317(f224(a901),f317(f180(f902(x39671)),f142(x39671,x39672))),f317(f180(f902(x39671)),x39672)))
% 199.17/199.21 [3977]E(f317(f252(x39771),f317(f317(f9(x39771,f907(x39771,a897),a897),f319(x39771)),x39772)),x39772)
% 199.17/199.21 [3990]E(f317(f317(f165(x39901),f317(f317(f3(a901),f317(f180(f902(x39901)),x39902)),f72(a901))),x39902),f104(x39901,x39902))
% 199.17/199.21 [4008]E(f175(a901,f2(a901),f317(f317(f10(a901,a901,a901),a102),f317(f228(a901),x40081)),x40082),f317(f317(f228(a901),f317(a102,x40081)),x40082))
% 199.17/199.21 [4013]E(f31(f907(x40131,a897),f317(f300(f907(f906(x40131,x40131),a897),f907(x40131,a897),f271(x40131)),x40132)),f317(f271(x40131),f31(f907(f906(x40131,x40131),a897),x40132)))
% 199.17/199.21 [4014]E(f175(a901,f317(a102,x40141),f317(f317(f10(a901,a901,a901),a102),f317(f178(a901),x40141)),x40142),f317(f317(f178(a901),f317(a102,x40141)),x40142))
% 199.17/199.21 [4016]E(f317(f317(f242(a1,a1),f317(f317(f30(a1),f317(f70(a1),x40161)),f317(f70(a1),x40162))),f40(a1,f317(f70(a1),x40161),f317(f70(a1),x40162))),f48(x40161,x40162))
% 199.17/199.21 [4039]P1(f317(f317(f224(f907(f907(x40391,a897),a897)),x40392),f317(f298(x40391),f31(f907(x40391,a897),x40392))))
% 199.17/199.21 [4072]E(f317(f317(f35(x40721,f907(x40721,a897)),x40722),f317(f317(f9(x40721,f907(x40721,a897),f907(x40721,a897)),f299(x40721)),f179(f907(x40721,a897)))),x40722)
% 199.17/199.21 [4073]E(f317(f317(f278(x40731,x40731,x40731),f317(f275(x40731,x40731),x40732)),f297(x40731,f317(f275(x40731,x40731),x40732))),f317(f275(x40731,x40731),f317(f317(f278(x40731,x40731,x40731),x40732),f297(x40731,x40732))))
% 199.17/199.21 [4135]E(f317(f162(x41351),f317(f132(f902(x41351),f902(x41351),f124(x41351),f103(x41351)),x41352)),f317(f317(f35(f902(x41351),f907(x41351,a897)),f317(f162(f902(x41351)),x41352)),f162(x41351)))
% 199.17/199.21 [4165]E(f317(f317(f91(f907(f906(x41651,x41651),a897)),f297(x41651,f179(f907(f906(x41651,x41651),a897)))),f317(f317(f278(x41651,x41651,x41651),f297(x41651,x41652)),x41652)),f297(x41651,x41652))
% 199.17/199.21 [4200]E(f317(f317(f171(x42001,x42001),x42002),x42002),f317(f317(f144(x42001,f906(x42001,x42001)),f317(f317(f20(x42001,x42001,f906(x42001,x42001)),f242(x42001,x42001)),f7(x42001))),x42002))
% 199.17/199.21 [4308]E(f317(f132(a901,f902(x43081),f317(f9(f902(x43081),a901,a901),f317(f317(f10(a901,f907(a901,a901),f902(x43081)),f178(a901)),f180(f902(x43081)))),f2(a901)),f317(f158(f902(x43081)),x43082)),f317(f180(f902(f902(x43081))),f169(x43081,x43082)))
% 199.17/199.21 [4382]E(f317(f317(f277(f906(a901,f902(x43821)),f902(x43821)),f309(a901,f902(x43821),a230,f135(x43821,x43822))),f317(f317(f20(f902(x43821),f902(x43821),f906(a901,f902(x43821))),f317(f317(f10(a901,f907(f902(x43821),f906(a901,f902(x43821))),f902(x43821)),f242(a901,f902(x43821))),f180(f902(x43821)))),f7(f902(x43821)))),f136(x43821,x43822))
% 199.17/199.21 [4520]E(f317(f252(x45201),f317(f317(f10(f907(f907(x45201,a897),a897),a897,x45201),f80(f907(x45201,a897))),f317(f317(f10(f907(f907(x45201,a897),a897),f907(f907(x45201,a897),a897),x45201),f317(f20(f907(x45201,a897),a897,a897),f317(f317(f10(a897,f907(a897,a897),f907(x45201,a897)),a315),f317(f317(f9(f907(x45201,a897),f907(f907(x45201,a897),a897),a897),f319(f907(x45201,a897))),x45202)))),f319(x45201)))),f31(f907(x45201,a897),x45202))
% 199.17/199.21 [4521]E(f317(f252(x45211),f317(f317(f10(f907(f907(x45211,a897),a897),a897,x45211),f81(f907(x45211,a897))),f317(f317(f10(f907(f907(x45211,a897),a897),f907(f907(x45211,a897),a897),x45211),f317(f20(f907(x45211,a897),a897,a897),f317(f317(f10(a897,f907(a897,a897),f907(x45211,a897)),a320),f317(f317(f9(f907(x45211,a897),f907(f907(x45211,a897),a897),a897),f319(f907(x45211,a897))),x45212)))),f319(x45211)))),f32(f907(x45211,a897),x45212))
% 199.17/199.21 [4628]~P1(f317(f317(f225(a1),f317(f90(a1),x46281)),f317(f73(a1),f317(f90(a1),x46282))))
% 199.17/199.21 [3621]E(f317(f317(f3(a901),f317(f317(f74(a901),x36211),x36212)),x36212),x36211)
% 199.17/199.21 [3622]E(f317(f317(f3(a901),f317(f317(f74(a901),x36221),x36222)),x36221),x36222)
% 199.17/199.21 [3686]E(f317(f317(f74(a901),f317(f317(f3(a901),x36861),x36862)),x36862),f317(f317(f178(a901),x36861),x36862))
% 199.17/199.21 [3798]E(f317(f317(f75(a901),f317(f317(f30(a901),x37981),x37982)),x37982),f317(f317(f3(a901),x37981),f40(a901,x37981,x37982)))
% 199.17/199.21 [3825]E(f317(f162(a901),f129(a901,f317(f293(a901,f317(a102,x38251)),x38252))),f296(a901,x38251,x38252))
% 199.17/199.21 [3833]E(f317(f90(a1),f207(f317(a95,f317(f70(a1),x38331)),f317(a95,f317(f70(a1),x38332)))),f317(f317(a208,x38331),x38332))
% 199.17/199.21 [3835]E(f317(f317(f91(f907(x38351,a897)),f317(f73(f907(x38351,a897)),x38352)),x38352),f232(f907(x38351,a897)))
% 199.17/199.21 [3836]E(f317(f317(f92(f907(x38361,a897)),f317(f73(f907(x38361,a897)),x38362)),x38362),f179(f907(x38361,a897)))
% 199.17/199.21 [3846]P1(f317(f317(f224(a901),f317(f317(f3(a901),x38461),x38462)),x38461))
% 199.17/199.21 [3847]P1(f317(f317(f224(a901),f317(f317(f30(a901),x38471),x38472)),x38471))
% 199.17/199.21 [3870]P1(f317(f317(f225(a901),x38701),f317(a102,f317(f317(f74(a901),x38702),x38701))))
% 199.17/199.21 [3871]P1(f317(f317(f225(a901),x38711),f317(a102,f317(f317(f74(a901),x38711),x38712))))
% 199.17/199.21 [3893]E(f317(f317(f75(a901),f317(a95,f317(f70(a1),x38931))),f317(a95,f317(f70(a1),x38932))),f317(a95,f317(f70(a1),f317(f317(f75(a1),x38931),x38932))))
% 199.17/199.21 [3904]P1(f317(f317(f224(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x39041)),x39042)))
% 199.17/199.21 [3970]E(f317(f274(f902(x39701),f902(x39701),f148(x39701,x39702)),f317(f317(f299(f902(x39701)),f103(x39701)),f179(f907(f902(x39701),a897)))),f317(f317(f299(f902(x39701)),f103(x39701)),f179(f907(f902(x39701),a897))))
% 199.17/199.21 [3988]E(f317(f317(f91(f907(f906(x39881,x39881),a897)),f297(x39881,x39882)),f297(x39881,f179(f907(f906(x39881,x39881),a897)))),f297(x39881,x39882))
% 199.17/199.21 [4068]E(f317(f252(f907(x40681,a897)),f317(f317(f9(f907(x40681,a897),f907(x40681,a897),a897),f224(f907(x40681,a897))),x40682)),f317(f298(x40681),x40682))
% 199.17/199.21 [4085]E(f317(f317(f144(a1,a901),a95),f317(f317(f124(a1),f317(f317(f144(a901,a1),f90(a1)),x40851)),f317(f317(f144(a901,a1),f90(a1)),x40852))),f317(f317(f124(a901),x40851),x40852))
% 199.17/199.21 [4113]E(f317(f300(a1,a1,f317(f317(f9(a1,a1,a1),f74(a1)),x41131)),f317(f293(a1,f2(a1)),f317(f317(f3(a1),x41132),x41131))),f317(f293(a1,x41131),x41132))
% 199.17/199.21 [4115]P51(x41151,f317(f317(f3(f907(f906(x41151,x41151),a897)),x41152),f297(x41151,f179(f907(f906(x41151,x41151),a897)))))
% 199.17/199.21 [4133]E(f317(f180(f902(x41331)),f317(f132(f902(x41331),f902(x41331),f124(x41331),f103(x41331)),x41332)),f317(f155(a901),f317(f317(f144(f902(x41331),a901),f180(f902(x41331))),x41332)))
% 199.17/199.21 [4137]P50(x41371,f232(f907(x41371,a897)),f317(f317(f91(f907(f906(x41371,x41371),a897)),x41372),f297(x41371,f179(f907(f906(x41371,x41371),a897)))))
% 199.17/199.21 [4179]E(f175(a901,f2(a901),f317(f317(f10(a901,a901,a901),a102),f317(f317(f9(a901,a901,a901),f228(a901)),x41791)),x41792),f317(f317(f228(a901),x41792),f317(a102,x41791)))
% 199.17/199.21 [4182]E(f175(a901,f317(a102,x41821),f317(f317(f10(a901,a901,a901),a102),f317(f317(f9(a901,a901,a901),f178(a901)),x41821)),x41822),f317(f317(f178(a901),x41822),f317(a102,x41821)))
% 199.17/199.21 [4185]E(f317(f300(x41851,f902(x41851),f317(f317(f9(x41851,f902(x41851),f902(x41851)),f141(x41851)),f103(x41851))),x41852),f164(x41851,x41852,f317(f317(f299(f902(x41851)),f103(x41851)),f179(f907(f902(x41851),a897)))))
% 199.17/199.21 [4187]E(f317(f317(f91(f907(f906(x41871,x41871),a897)),f317(f317(f278(x41871,x41871,x41871),x41872),f297(x41871,x41872))),f297(x41871,f179(f907(f906(x41871,x41871),a897)))),f297(x41871,x41872))
% 199.17/199.21 [4195]P1(f317(f317(f224(f907(f906(x41951,x41951),a897)),f253(x41951,x41952)),f317(f317(f244(x41951,x41951),x41952),f317(f18(f907(x41951,a897),x41951),x41952))))
% 199.17/199.21 [4198]E(f317(f300(a1,a901,a95),f317(f317(f91(f907(a1,a897)),f317(f300(a901,a1,f90(a1)),x41981)),f317(f300(a901,a1,f90(a1)),x41982))),f317(f317(f91(f907(a901,a897)),x41981),x41982))
% 199.17/199.21 [4199]E(f317(f300(a1,a901,a95),f317(f317(f92(f907(a1,a897)),f317(f300(a901,a1,f90(a1)),x41991)),f317(f300(a901,a1,f90(a1)),x41992))),f317(f317(f92(f907(a901,a897)),x41991),x41992))
% 199.17/199.21 [4202]E(f317(f252(x42021),f317(f317(f10(a897,a897,x42021),a312),f317(f317(f9(x42021,f907(x42021,a897),a897),f319(x42021)),x42022))),f317(f73(f907(x42021,a897)),x42022))
% 199.17/199.21 [4228]E(f317(f132(f902(x42281),f902(x42281),f124(x42281),f103(x42281)),f317(f317(f144(f902(x42281),f902(x42281)),f158(x42281)),f317(f158(f902(x42281)),x42282))),f317(f158(x42281),f317(f132(f902(x42281),f902(x42281),f124(x42281),f103(x42281)),x42282)))
% 199.17/199.21 [4250]E(f317(f317(f35(a901,f907(f906(x42501,x42501),a897)),f232(f907(a901,a897))),f317(f317(f9(a901,f907(f906(x42501,x42501),a897),f907(f906(x42501,x42501),a897)),f173(f906(x42501,x42501),a897)),x42502)),f297(x42501,x42502))
% 199.17/199.21 [4265]E(f79(x42651,f317(f317(f10(f907(x42651,a897),a897,x42651),f317(a314,x42652)),f317(f317(f9(x42651,f907(x42651,a897),f907(x42651,a897)),f299(x42651)),f179(f907(x42651,a897))))),f302(x42651,x42652))
% 199.17/199.21 [4274]E(f317(f180(f902(x42741)),f142(x42741,f317(f132(f902(x42741),f902(x42741),f124(x42741),f103(x42741)),x42742))),f317(f29(x42741),f317(f317(f35(f902(x42741),f907(x42741,a897)),f317(f162(f902(x42741)),x42742)),f162(x42741))))
% 199.17/199.21 [4288]E(f317(f317(f91(f907(f906(x42881,x42881),a897)),x42882),f317(f317(f278(x42881,x42881,x42881),f317(f317(f278(x42881,x42881,x42881),x42882),f297(x42881,x42882))),x42882)),f317(f317(f278(x42881,x42881,x42881),x42882),f297(x42881,x42882)))
% 199.17/199.21 [4318]P1(f317(f317(f224(f907(f906(x43181,x43181),a897)),f317(f317(f278(x43181,x43181,x43181),x43182),f297(x43181,x43182))),f317(f317(f244(x43181,x43181),f317(f271(x43181),x43182)),f317(f18(f907(x43181,a897),x43181),f317(f271(x43181),x43182)))))
% 199.17/199.21 [4358]E(f317(f252(f902(x43581)),f317(f317(f9(f902(x43581),f907(x43581,a897),a897),f317(f317(f10(f907(x43581,a897),f907(f907(x43581,a897),a897),f902(x43581)),f224(f907(x43581,a897))),f162(x43581))),x43582)),f151(x43581,x43582))
% 199.17/199.21 [4371]E(f317(f146(f902(x43711),x43711,f103(x43711),f317(f317(f10(f902(x43711),f907(f902(x43711),f902(x43711)),x43711),f317(f9(f902(x43711),f902(x43711),f902(x43711)),f124(x43711))),f317(f317(f9(x43711,f902(x43711),f902(x43711)),f141(x43711)),f103(x43711)))),x43712),f317(f157(x43711),x43712))
% 199.17/199.21 [4408]P22(f907(x44081,x44082),f907(f906(x44081,x44082),a897),f317(f317(f10(f907(f906(x44081,x44082),a897),f907(f906(x44081,x44082),a897),f907(x44081,x44082)),f252(f906(x44081,x44082))),f317(f317(f10(f907(x44081,f907(x44082,a897)),f907(f906(x44081,x44082),a897),f907(x44081,x44082)),f247(x44081,x44082,a897)),f317(f10(x44082,f907(x44082,a897),x44081),f317(f9(x44082,x44082,a897),a314)))),f232(f907(f907(x44081,x44082),a897)))
% 199.17/199.21 [4464]E(f317(f317(f35(x44641,f907(f906(x44641,x44641),a897)),x44642),f317(f317(f9(x44641,f907(f906(x44641,x44641),a897),f907(f906(x44641,x44641),a897)),f317(f317(f10(f906(x44641,x44641),f907(f907(f906(x44641,x44641),a897),f907(f906(x44641,x44641),a897)),x44641),f299(f906(x44641,x44641))),f317(f317(f20(x44641,x44641,f906(x44641,x44641)),f242(x44641,x44641)),f7(x44641)))),f179(f907(f906(x44641,x44641),a897)))),f253(x44641,x44642))
% 199.17/199.21 [4472]E(f193(x44721,f317(f317(f242(a1,a1),f317(f73(a1),f317(f317(f67(f906(a1,a1),a1,x44721,f241(a1,a1)),f203(x44721)),x44722))),f317(f317(f67(f906(a1,a1),a1,x44721,f246(a1,a1)),f203(x44721)),x44722))),f218(x44721,x44722))
% 199.17/199.21 [4562]E(f317(f252(f907(x45621,a897)),f317(f317(f10(f907(f907(x45621,a897),a897),a897,f907(x45621,a897)),f80(f907(x45621,a897))),f317(f317(f9(f907(x45621,a897),f907(f907(x45621,a897),a897),f907(f907(x45621,a897),a897)),f317(f317(f10(f907(f907(x45621,a897),f907(a897,a897)),f907(f907(f907(x45621,a897),a897),f907(f907(x45621,a897),a897)),f907(x45621,a897)),f20(f907(x45621,a897),a897,a897)),f317(f317(f10(f907(f907(x45621,a897),a897),f907(f907(x45621,a897),f907(a897,a897)),f907(x45621,a897)),f317(f10(a897,f907(a897,a897),f907(x45621,a897)),a315)),f317(f317(f9(f907(x45621,a897),f907(f907(x45621,a897),f907(x45621,a897)),f907(f907(x45621,a897),a897)),f317(f317(f10(f907(f907(x45621,a897),a897),f907(f907(f907(x45621,a897),f907(x45621,a897)),f907(f907(x45621,a897),a897)),f907(x45621,a897)),f10(f907(x45621,a897),a897,f907(x45621,a897))),a314)),f73(f907(x45621,a897)))))),f317(f317(f10(f907(f907(x45621,a897),a897),a897,f907(x45621,a897)),f317(f319(f907(x45621,a897)),x45622)),f298(x45621))))),f317(f298(x45621),f317(f73(f907(x45621,a897)),x45622)))
% 199.17/199.21 [4630]~P1(f317(f317(f225(a901),f317(f317(f74(a901),x46301),x46302)),x46302))
% 199.17/199.21 [4631]~P1(f317(f317(f225(a901),f317(f317(f74(a901),x46311),x46312)),x46311))
% 199.17/199.21 [3909]E(f317(f317(f3(a901),x39091),f317(f317(f75(a901),f317(f317(f30(a901),x39091),x39092)),x39092)),f40(a901,x39091,x39092))
% 199.17/199.21 [3910]E(f317(f317(f3(a1),x39101),f317(f317(f75(a1),f317(f317(f30(a1),x39101),x39102)),x39102)),f40(a1,x39101,x39102))
% 199.17/199.21 [3942]E(f317(f317(f144(a901,x39421),f317(f154(x39421),x39422)),f129(a901,f317(f293(a901,f2(a901)),f317(f180(f902(x39421)),x39422)))),x39422)
% 199.17/199.21 [3995]E(f317(f274(x39951,x39951,f297(x39951,f179(f907(f906(x39951,x39951),a897)))),x39952),x39952)
% 199.17/199.21 [4118]E(f297(x41181,f317(f317(f91(f907(f906(x41181,x41181),a897)),x41182),f297(x41181,f179(f907(f906(x41181,x41181),a897))))),f297(x41181,x41182))
% 199.17/199.21 [4119]E(f297(x41191,f317(f317(f3(f907(f906(x41191,x41191),a897)),x41192),f297(x41191,f179(f907(f906(x41191,x41191),a897))))),f297(x41191,x41192))
% 199.17/199.21 [4285]E(f317(f90(a1),f317(f317(f30(a901),f317(f317(f75(a901),f317(a95,f317(f70(a1),x42851))),f317(a95,f317(f70(a1),x42852)))),f207(f317(a95,f317(f70(a1),x42851)),f317(a95,f317(f70(a1),x42852))))),f209(x42851,x42852))
% 199.17/199.21 [4310]E(f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x43101)),x43101)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x43102)),x43102)),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f3(a1),x43101),x43102))),f317(f317(f3(a1),x43101),x43102))),a87))
% 199.17/199.21 [4333]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x43331)),x43331)),a87)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x43332)),x43332)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),x43331),x43332))),f317(f317(f74(a1),x43331),x43332)))
% 199.17/199.21 [4336]E(f317(f317(f249(f906(a89,a89),a89,f906(a89,a89),f906(x43361,f906(a89,a89))),f257(f317(a5,f317(f180(f902(x43361)),x43362)))),f317(f317(f10(x43361,f907(f906(a89,a89),f906(x43361,f906(a89,a89))),a89),f242(x43361,f906(a89,a89))),f317(f317(f10(a901,x43361,a89),f317(f154(x43361),x43362)),a22))),f265(x43361,x43362))
% 199.17/199.21 [4364]E(f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x43641)),x43641)),a87)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x43642)),x43642)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f3(a1),f317(f317(f74(a1),x43641),a87)),x43642))),f317(f317(f3(a1),f317(f317(f74(a1),x43641),a87)),x43642)))
% 199.17/199.21 [4413]E(f317(f132(a901,f902(x44131),f317(f9(f902(x44131),a901,a901),f317(f317(f10(a901,f907(a901,a901),f902(x44131)),f178(a901)),f180(f902(x44131)))),f2(a901)),f317(f158(f902(x44131)),f169(x44131,x44132))),f317(f180(f902(f902(x44131))),f317(f126(f902(x44131),f317(f317(f10(a897,a897,f902(x44131)),a312),f317(f317(f9(f902(x44131),f902(x44131),a897),a314),f103(x44131)))),x44132)))
% 199.17/199.21 [4419]E(f317(f317(f35(a901,f907(x44191,a897)),f232(f907(a901,a897))),f317(f317(f9(a901,f907(a901,f907(x44191,a897)),f907(x44191,a897)),f317(f317(f10(f907(a901,a897),f907(f907(a901,f907(x44191,a897)),f907(x44191,a897)),a901),f35(a901,f907(x44191,a897))),f293(a901,f2(a901)))),x44192)),f317(f317(f35(a901,f907(x44191,a897)),f232(f907(a901,a897))),x44192))
% 199.17/199.21 [4442]P1(f317(f28(a901),f317(f252(a901),f317(f317(f20(a901,a897,a897),f317(f317(f10(a897,f907(a897,a897),a901),a315),x44421)),f317(f317(f9(a901,a901,a897),f225(a901)),x44422)))))
% 199.17/199.21 [4569]E(f317(f252(f906(f902(x45691),f902(x45691))),f317(f247(f902(x45691),f902(x45691),a897),f317(f317(f20(f902(x45691),f907(f902(x45691),a897),f907(f902(x45691),a897)),f317(f317(f10(f907(f902(x45691),f907(a897,a897)),f907(f907(f902(x45691),a897),f907(f902(x45691),a897)),f902(x45691)),f20(f902(x45691),a897,a897)),f317(f317(f10(f907(f902(x45691),a897),f907(f902(x45691),f907(a897,a897)),f902(x45691)),f317(f10(a897,f907(a897,a897),f902(x45691)),a316)),f317(f317(f9(f902(x45691),f907(f902(x45691),a901),f907(f902(x45691),a897)),f317(f317(f10(f907(a901,a897),f907(f907(f902(x45691),a901),f907(f902(x45691),a897)),f902(x45691)),f10(a901,a897,f902(x45691))),f317(f317(f10(a901,f907(a901,a897),f902(x45691)),f225(a901)),f180(f902(x45691))))),f180(f902(x45691)))))),f317(f317(f20(f902(x45691),f907(f902(x45691),a897),f907(f902(x45691),a897)),f317(f317(f10(f907(f902(x45691),f907(a897,a897)),f907(f907(f902(x45691),a897),f907(f902(x45691),a897)),f902(x45691)),f20(f902(x45691),a897,a897)),f317(f317(f10(f907(f902(x45691),a897),f907(f902(x45691),f907(a897,a897)),f902(x45691)),f317(f10(a897,f907(a897,a897),f902(x45691)),a315)),f317(f317(f9(f902(x45691),f907(f902(x45691),a901),f907(f902(x45691),a897)),f317(f317(f10(f907(a901,a897),f907(f907(f902(x45691),a901),f907(f902(x45691),a897)),f902(x45691)),f10(a901,a897,f902(x45691))),f317(f317(f10(a901,f907(a901,a897),f902(x45691)),a314),f180(f902(x45691))))),f180(f902(x45691)))))),f317(f317(f9(f902(x45691),f907(f906(f902(x45691),f902(x45691)),a897),f907(f902(x45691),a897)),f317(f317(f10(f907(f902(x45691),f907(f907(f906(f902(x45691),f902(x45691)),a897),a897)),f907(f907(f906(f902(x45691),f902(x45691)),a897),f907(f902(x45691),a897)),f902(x45691)),f9(f902(x45691),f907(f906(f902(x45691),f902(x45691)),a897),a897)),f317(f317(f10(f907(f902(x45691),f906(f902(x45691),f902(x45691))),f907(f902(x45691),f907(f907(f906(f902(x45691),f902(x45691)),a897),a897)),f902(x45691)),f317(f10(f906(f902(x45691),f902(x45691)),f907(f907(f906(f902(x45691),f902(x45691)),a897),a897),f902(x45691)),f319(f906(f902(x45691),f902(x45691))))),f242(f902(x45691),f902(x45691))))),f135(x45691,x45692)))))),f136(x45691,x45692))
% 199.17/199.21 [4335]E(f317(a95,f317(a83,f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),f317(f317(f242(a901,a901),x43351),x43352)),f179(f907(f906(a901,a901),a897)))))),f317(f317(f3(a901),x43351),x43352))
% 199.17/199.21 [4339]E(f317(f317(f278(x43391,x43391,x43391),f317(f317(f91(f907(f906(x43391,x43391),a897)),x43392),f297(x43391,f179(f907(f906(x43391,x43391),a897))))),f297(x43391,f317(f317(f91(f907(f906(x43391,x43391),a897)),x43392),f297(x43391,f179(f907(f906(x43391,x43391),a897)))))),f297(x43391,x43392))
% 199.17/199.21 [4375]E(f258(x43751,f317(f126(f906(a89,x43751),f317(f247(a89,x43751,a897),f317(f317(f10(a897,f907(x43751,a897),a89),f18(a897,x43751)),f317(f225(a89),f2(a89))))),x43752)),f258(x43751,x43752))
% 199.17/199.21 [4376]E(f256(x43761,f317(f126(f906(a89,x43761),f317(f247(a89,x43761,a897),f317(f317(f10(a897,f907(x43761,a897),a89),f18(a897,x43761)),f317(f225(a89),f2(a89))))),x43762)),f256(x43761,x43762))
% 199.17/199.21 [4377]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),x43771),f317(f317(f3(a1),x43772),a87)))),f317(f317(f74(a1),x43771),f317(f317(f3(a1),x43772),a87)))),a87),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x43771)),x43771)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x43772)),x43772)))
% 199.17/199.21 [4379]E(f317(f73(a1),f317(a83,f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),f317(f317(f242(a901,a901),x43791),x43792)),f179(f907(f906(a901,a901),a897)))))),f317(a83,f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),f317(f317(f242(a901,a901),x43792),x43791)),f179(f907(f906(a901,a901),a897))))))
% 199.17/199.21 [4434]E(f317(f317(f277(f902(a901),x44341),f135(a901,a230)),f317(f317(f9(x44341,f902(f907(x44341,a901)),f902(a901)),f317(f317(f10(f907(f907(x44341,a901),a901),f907(f902(f907(x44341,a901)),f902(a901)),x44341),f144(f907(x44341,a901),a901)),f317(f9(f907(x44341,a901),x44341,a901),f7(f907(x44341,a901))))),x44342)),f143(x44341,x44342))
% 199.17/199.21 [4461]E(f317(f317(f82(a1,a901),f317(f94(a1),f317(f317(f74(a1),x44611),a87))),f317(f317(f20(a1,a901,a901),f317(f317(f9(a1,a901,f907(a901,a901)),f317(f317(f10(a897,f907(a901,f907(a901,a901)),a1),f86(a901)),a184)),f2(a901))),f317(f317(f10(a901,a901,a1),a102),f317(f317(f10(a901,a901,a1),f317(f228(a901),x44612)),a95)))),f317(f317(f228(a901),f317(a102,x44612)),f317(f94(a901),x44611)))
% 199.17/199.21 [4462]E(f317(f317(f82(a1,a901),f317(f94(a1),f317(f317(f74(a1),x44621),a87))),f317(f317(f20(a1,a901,a901),f317(f317(f9(a1,a901,f907(a901,a901)),f317(f317(f10(a897,f907(a901,f907(a901,a901)),a1),f86(a901)),a184)),f317(a102,x44622))),f317(f317(f10(a901,a901,a1),a102),f317(f317(f10(a901,a901,a1),f317(f178(a901),x44622)),a95)))),f317(f317(f178(a901),f317(a102,x44622)),f317(f94(a901),x44621)))
% 199.17/199.21 [4482]E(f317(f132(f902(x44821),f902(x44821),f124(x44821),f103(x44821)),f317(f317(f144(f902(x44821),f902(x44821)),f146(f902(x44821),x44821,f103(x44821),f317(f317(f10(f902(x44821),f907(f902(x44821),f902(x44821)),x44821),f18(f902(x44821),f902(x44821))),f317(f317(f9(x44821,f902(x44821),f902(x44821)),f141(x44821)),f103(x44821))))),x44822)),f317(f317(f144(f902(x44821),x44821),f131(x44821)),f317(f126(f902(x44821),f317(f317(f10(a897,a897,f902(x44821)),a312),f317(f317(f9(f902(x44821),f902(x44821),a897),a314),f103(x44821)))),x44822)))
% 199.17/199.21 [4553]E(f317(f247(a1,a1,a897),f317(f317(f9(a1,f907(a1,a897),f907(a1,a897)),f317(f317(f10(f907(a1,f907(a897,a897)),f907(f907(a1,a897),f907(a1,a897)),a1),f20(a1,a897,a897)),f317(f317(f10(f907(a1,a897),f907(a1,f907(a897,a897)),a1),f317(f10(a897,f907(a897,a897),a1),a315)),f317(f317(f10(f907(a1,a1),f907(a1,a897),a1),f317(f10(a1,a897,a1),f317(a314,x45531))),f317(f317(f10(a1,f907(a1,a1),a1),f74(a1)),f317(f75(a1),x45532)))))),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a315),f317(f317(f10(a897,a897,a1),f317(a320,f317(f317(f225(a1),f2(a1)),x45532))),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a315),f317(f224(a1),f2(a1)))),f317(f317(f9(a1,a1,a897),f225(a1)),x45532))))),f317(f317(f10(a897,a897,a1),f317(a320,f317(a312,f317(f317(f225(a1),f2(a1)),x45532)))),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a315),f317(f225(a1),x45532))),f317(f317(f9(a1,a1,a897),f224(a1)),f2(a1))))))),f44(x45531,x45532))
% 199.17/199.21 [4556]E(f317(f252(x45561),f317(f317(f10(f907(a901,a897),a897,x45561),f80(a901)),f317(f317(f9(x45561,f907(a901,a897),f907(a901,a897)),f317(f317(f10(f907(a901,f907(a897,a897)),f907(f907(a901,a897),f907(a901,a897)),x45561),f20(a901,a897,a897)),f317(f317(f10(f907(a901,a897),f907(a901,f907(a897,a897)),x45561),f317(f10(a897,f907(a897,a897),a901),a315)),f317(f317(f9(x45561,f907(a901,x45561),f907(a901,a897)),f317(f317(f10(f907(x45561,a897),f907(f907(a901,x45561),f907(a901,a897)),x45561),f10(x45561,a897,a901)),a314)),f317(f154(x45561),x45562))))),f317(f317(f9(a901,a901,a897),f225(a901)),f317(f180(f902(x45561)),x45562))))),f317(f162(x45561),x45562))
% 199.17/199.21 [4638]~E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x46381)),x46381)),a87),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x46382)),x46382))
% 199.17/199.21 [4299]E(f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x42991)),x42991)),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x42992)),x42992)),a87)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f3(a1),x42991),x42992))),f317(f317(f3(a1),x42991),x42992)))
% 199.17/199.21 [4300]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x43001)),x43001)),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x43002)),x43002)),a87)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),x43001),x43002))),f317(f317(f74(a1),x43001),x43002)))
% 199.17/199.21 [4387]E(f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x43871)),x43871)),a87)),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x43872)),x43872)),a87)),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f3(a1),x43871),x43872))),f317(f317(f3(a1),x43871),x43872))),a87))
% 199.17/199.21 [4388]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x43881)),x43881)),a87)),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x43882)),x43882)),a87)),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),x43881),x43882))),f317(f317(f74(a1),x43881),x43882))),a87))
% 199.17/199.21 [4420]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),x44201),x44202))),f317(f317(f75(a1),x44201),x44202))),a87)),x44202),f317(f317(f75(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x44201)),x44201)),x44202))
% 199.17/199.21 [4477]E(f317(f132(f902(f902(x44771)),f902(f902(x44771)),f124(f902(x44771)),f103(f902(x44771))),f317(f317(f144(f902(x44771),f902(f902(x44771))),f146(f902(f902(x44771)),x44771,f103(f902(x44771)),f317(f18(f907(f902(x44771),f902(f902(x44771))),x44771),f317(f317(f9(f902(x44771),f902(f902(x44771)),f902(f902(x44771))),f141(f902(x44771))),f103(f902(x44771)))))),x44772)),f317(f317(f144(f902(x44771),f902(x44771)),f161(x44771)),f317(f126(f902(x44771),f317(f317(f10(a897,a897,f902(x44771)),a312),f317(f317(f9(f902(x44771),f902(x44771),a897),a314),f103(x44771)))),x44772)))
% 199.17/199.21 [4485]E(f317(f317(f82(a1,a901),f317(f94(a1),f317(f317(f74(a1),x44851),a87))),f317(f317(f20(a1,a901,a901),f317(f317(f9(a1,a901,f907(a901,a901)),f317(f317(f10(a897,f907(a901,f907(a901,a901)),a1),f86(a901)),a184)),f2(a901))),f317(f317(f10(a901,a901,a1),a102),f317(f317(f9(a1,a901,a901),f317(f317(f10(a901,f907(a901,a901),a1),f228(a901)),a95)),x44852)))),f317(f317(f228(a901),f317(f94(a901),x44851)),f317(a102,x44852)))
% 199.17/199.21 [4486]E(f317(f317(f82(a1,a901),f317(f94(a1),f317(f317(f74(a1),x44861),a87))),f317(f317(f20(a1,a901,a901),f317(f317(f9(a1,a901,f907(a901,a901)),f317(f317(f10(a897,f907(a901,f907(a901,a901)),a1),f86(a901)),a184)),f317(a102,x44862))),f317(f317(f10(a901,a901,a1),a102),f317(f317(f9(a1,a901,a901),f317(f317(f10(a901,f907(a901,a901),a1),f178(a901)),a95)),x44862)))),f317(f317(f178(a901),f317(f94(a901),x44861)),f317(a102,x44862)))
% 199.17/199.21 [4328]E(f317(f317(f234(a1),x43281),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x43282)),x43282)),a87))),f317(f317(f82(a1,a1),f317(f317(f234(a1),x43281),f317(f94(a901),x43282))),f317(f317(f20(a1,a1,a1),f75(a1)),f7(a1))))
% 199.17/199.21 [4363]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),x43631),x43632))),f317(f317(f75(a1),x43631),x43632))),a87),f317(f317(f75(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x43631)),x43631)),a87)),x43632))
% 199.17/199.21 [4422]E(f317(f317(f30(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x44221)),x44221)),a87))),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x44222)),x44222)),a87))),f317(f317(f30(a1),f317(f94(a1),x44221)),f317(f94(a1),x44222)))
% 199.17/199.21 [4476]E(f317(f247(x44761,x44761,a897),f317(f317(f20(x44761,a897,f907(x44761,a897)),f317(f317(f10(f907(x44761,f907(a897,a897)),f907(a897,f907(x44761,a897)),x44761),f9(x44761,a897,a897)),f317(f317(f10(f907(x44761,a897),f907(x44761,f907(a897,a897)),x44761),f317(f10(a897,f907(a897,a897),x44761),a315)),a314))),x44762)),f253(x44761,x44762))
% 199.17/199.21 [4535]E(f40(a1,f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x45351)),x45351)),a87)),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x45352)),x45352)),a87))),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f40(a1,f317(f94(a1),x45351),f317(f94(a1),x45352))))
% 199.17/199.21 [4501]E(f317(f317(f30(a901),x45011),f317(f317(f74(a901),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)))),x45012)),f317(f317(f30(a901),x45011),f317(a102,f317(a102,f317(a102,x45012)))))
% 199.17/199.21 [4502]E(f40(a901,x45021,f317(f317(f74(a901),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)))),x45022)),f40(a901,x45021,f317(a102,f317(a102,f317(a102,x45022)))))
% 199.17/199.21 [4503]E(f40(a901,f317(f317(f74(a901),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)))),x45031),x45032),f40(a901,f317(a102,f317(a102,f317(a102,x45031))),x45032))
% 199.17/199.21 [4528]E(f113(f317(x45281,f317(f317(f75(a89),f317(f94(a89),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)))),x45282))),f317(f191(x45281),x45282))
% 199.17/199.21 [4533]E(f317(f317(f30(a901),f317(f317(f74(a901),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)))),x45331)),x45332),f317(f317(f30(a901),f317(a102,f317(a102,f317(a102,x45331)))),x45332))
% 199.17/199.21 [4595]~E(f116(x45951,x45952,x45953),f109(x45951))
% 199.17/199.21 [3351]E(f317(f183(x33511,x33512),x33513),f111(x33511,x33512))
% 199.17/199.21 [3370]E(f317(f190(x33701,x33702),x33703),f317(f119(x33701),x33702))
% 199.17/199.21 [3447]E(f317(f317(f144(x34471,x34472),x34473),f103(x34471)),f103(x34472))
% 199.17/199.21 [3487]E(f317(f174(x34871,x34872,x34873),f2(a901)),x34872)
% 199.17/199.21 [3489]E(f317(f317(f171(x34891,x34892),x34893),f103(x34892)),f103(f906(x34891,x34892)))
% 199.17/199.21 [3502]E(f317(f180(f902(x35021)),f159(x35021,x35022,x35023)),x35022)
% 199.17/199.21 [3521]E(f79(x35211,f56(x35211,x35212,x35213)),f317(f57(x35211,x35212),x35213))
% 199.17/199.21 [3525]E(f233(x35251,x35252,f233(x35252,x35251,x35253)),x35253)
% 199.17/199.21 [3545]E(f317(f158(x35451),f159(x35451,x35452,x35453)),f159(x35451,x35452,x35453))
% 199.17/199.21 [3570]E(f130(x35701,x35702,f142(x35701,x35703)),f142(x35701,f130(x35701,x35702,x35703)))
% 199.17/199.21 [3588]E(f317(f241(f902(x35881),f902(x35881)),f156(x35881,x35882,x35883)),f317(f126(x35881,x35882),x35883))
% 199.17/199.21 [3630]E(f317(f317(f141(x36301),x36302),f159(x36301,x36303,x36302)),f159(x36301,f317(a102,x36303),x36302))
% 199.17/199.21 [3661]E(f19(x36611,x36612,x36613,f2(a89)),x36612)
% 199.17/199.21 [3662]E(f175(x36621,x36622,x36623,f2(a901)),x36622)
% 199.17/199.21 [3663]E(f21(x36631,x36632,x36633,f2(a89)),x36632)
% 199.17/199.21 [3670]E(f153(x36701,x36702,x36703,f103(x36701)),f103(x36702))
% 199.17/199.21 [3671]E(f120(x36711,x36712,x36713,f109(x36711)),f109(x36712))
% 199.17/199.21 [3678]E(f317(f317(f154(x36781),f317(f317(f141(x36781),x36782),x36783)),f2(a901)),x36782)
% 199.17/199.21 [3706]E(f54(x37061,x37062,f103(x37061),x37063),f103(f906(x37061,x37062)))
% 199.17/199.21 [3727]P22(x37271,x37272,x37273,f179(f907(x37271,a897)))
% 199.17/199.21 [3829]E(f255(x38291,x38292,x38293),f317(f242(f907(a89,f907(a897,f904(f903(x38291)))),f906(a89,a89)),f36(x38291)))
% 199.17/199.21 [3883]E(f317(f67(x38831,x38832,x38831,x38833),f25(x38831)),x38833)
% 199.17/199.21 [4055]P1(f317(f317(f319(f906(x40551,x40551)),f317(f317(f242(x40551,x40551),x40552),x40552)),f297(x40551,x40553)))
% 199.17/199.21 [4640]~P1(f317(f317(f319(f906(f902(x46401),f902(x46401))),f317(f317(f242(f902(x46401),f902(x46401)),x46402),f103(x46401))),f135(x46401,x46403)))
% 199.17/199.21 [4641]~P1(f317(f317(f319(f906(f902(x46411),f902(x46411))),f317(f317(f242(f902(x46411),f902(x46411)),x46412),f103(x46411))),f137(x46411,x46413)))
% 199.17/199.21 [4642]~P1(f317(f317(f319(f906(f902(x46421),f902(x46421))),f317(f317(f242(f902(x46421),f902(x46421)),x46422),f103(x46421))),f147(x46421,x46423)))
% 199.17/199.21 [4643]~P1(f317(f317(f319(f906(f902(x46431),f902(x46431))),f317(f317(f242(f902(x46431),f902(x46431)),f103(x46431)),x46432)),f135(x46431,x46433)))
% 199.17/199.21 [4644]~P1(f317(f317(f319(f906(f902(x46441),f902(x46441))),f317(f317(f242(f902(x46441),f902(x46441)),f103(x46441)),x46442)),f147(x46441,x46443)))
% 199.17/199.21 [3422]E(f317(f317(f192(x34221),x34222),x34223),f193(x34221,f206(x34222,x34223)))
% 199.17/199.21 [3476]E(f317(f275(x34761,x34762),f317(f275(x34762,x34761),x34763)),x34763)
% 199.17/199.21 [3497]E(f317(f317(f171(x34971,x34972),f103(x34971)),x34973),f103(f906(x34971,x34972)))
% 199.17/199.21 [3500]E(f166(x35001,x35002,f317(f290(a901),x35003)),f317(f317(f165(x35001),x35003),x35002))
% 199.17/199.21 [3518]E(f142(x35181,f317(f126(x35181,x35182),x35183)),f317(f126(x35181,x35182),f142(x35181,x35183)))
% 199.17/199.21 [3519]E(f317(f273(x35191,x35192),f317(f275(x35192,x35191),x35193)),f317(f254(x35192,x35191),x35193))
% 199.17/199.21 [3520]E(f317(f254(x35201,x35202),f317(f275(x35202,x35201),x35203)),f317(f273(x35202,x35201),x35203))
% 199.17/199.21 [3538]E(f317(f126(x35381,x35382),f317(f158(x35381),x35383)),f317(f158(x35381),f317(f126(x35381,x35382),x35383)))
% 199.17/199.21 [3550]E(f317(f317(f128(x35501),x35502),f317(f161(x35501),x35503)),f317(f317(f128(x35501),f317(a102,x35502)),x35503))
% 199.17/199.21 [3566]E(f317(f300(x35661,x35662,x35663),f179(f907(x35661,a897))),f179(f907(x35662,a897)))
% 199.17/199.21 [3567]E(f317(f274(x35671,x35672,x35673),f179(f907(x35671,a897))),f179(f907(x35672,a897)))
% 199.17/199.21 [3568]E(f317(f301(x35681,x35682,x35683),f179(f907(x35682,a897))),f179(f907(x35681,a897)))
% 199.17/199.21 [3569]E(f317(f301(x35691,x35692,x35693),f232(f907(x35692,a897))),f232(f907(x35691,a897)))
% 199.17/199.21 [3594]E(f110(x35941,f116(f903(x35941),x35942,x35943)),f106(x35941,x35942,f110(x35941,x35943)))
% 199.17/199.21 [3596]E(f317(f317(f299(x35961),x35962),f317(f162(x35961),x35963)),f317(f162(x35961),f130(x35961,x35962,x35963)))
% 199.17/199.21 [3682]E(f317(f300(f906(x36821,x36822),x36822,f246(x36821,x36822)),x36823),f317(f273(x36821,x36822),x36823))
% 199.17/199.21 [3683]E(f317(f300(f906(x36831,x36832),x36831,f241(x36831,x36832)),x36833),f317(f254(x36831,x36832),x36833))
% 199.17/199.21 [3698]E(f317(f162(x36981),f159(x36981,f317(a102,x36982),x36983)),f317(f317(f299(x36981),x36983),f179(f907(x36981,a897))))
% 199.17/199.21 [3756]E(f317(f317(f242(x37561,x37562),f317(f241(x37561,x37562),x37563)),f317(f246(x37561,x37562),x37563)),x37563)
% 199.17/199.21 [3763]E(f317(f180(f903(x37631)),f116(x37631,x37632,x37633)),f317(f317(f74(a901),f317(f180(f903(x37631)),x37633)),f317(a102,f2(a901))))
% 199.17/199.21 [3765]E(f317(f317(f247(x37651,x37652,x37651),f18(x37651,x37652)),x37653),f317(f241(x37651,x37652),x37653))
% 199.17/199.21 [3889]E(f317(f67(x38891,x38891,x38892,f25(x38891)),x38893),x38893)
% 199.17/199.21 [3896]E(f317(f317(f124(x38961),f159(x38961,x38962,x38963)),f317(f317(f141(x38961),x38963),f103(x38961))),f317(f317(f141(x38961),x38963),f159(x38961,x38962,x38963)))
% 199.17/199.21 [4063]P1(f317(f317(f224(f907(x40631,a897)),f317(f162(x40631),f317(f126(x40631,x40632),x40633))),f317(f162(x40631),x40633)))
% 199.17/199.21 [4105]P1(f317(f317(f224(f907(x41051,a897)),f317(f162(x41051),f317(f317(f165(x41051),x41052),x41053))),f317(f162(x41051),x41053)))
% 199.17/199.21 [4106]P1(f317(f317(f224(f907(x41061,a897)),f317(f162(x41061),f317(f317(f128(x41061),x41062),x41063))),f317(f162(x41061),x41063)))
% 199.17/199.21 [4109]P1(f317(f317(f224(f907(x41091,a897)),f317(f162(x41091),f166(x41091,x41092,x41093))),f317(f162(x41091),x41092)))
% 199.17/199.21 [4110]P1(f317(f317(f224(f907(x41101,a897)),f317(f162(x41101),f160(x41101,x41102,x41103))),f317(f162(x41101),x41103)))
% 199.17/199.21 [4131]P22(f906(x41311,x41312),f906(x41312,x41311),f317(f247(x41311,x41312,f906(x41312,x41311)),f317(f9(x41312,x41311,f906(x41312,x41311)),f242(x41312,x41311))),x41313)
% 199.17/199.21 [4141]E(f317(f317(f317(f173(f902(x41411),f902(x41411)),f40(a901,x41412,f317(f180(f902(x41411)),x41413))),f157(x41411)),x41413),f317(f317(f317(f173(f902(x41411),f902(x41411)),x41412),f157(x41411)),x41413))
% 199.17/199.21 [4183]P1(f317(f317(f319(f906(f902(x41831),f902(x41831))),f317(f317(f242(f902(x41831),f902(x41831)),x41832),x41832)),f148(x41831,f297(x41831,x41833))))
% 199.17/199.21 [4323]E(f79(f906(x43231,x43232),f317(f317(f20(f906(x43231,x43232),x43232,a897),f317(f317(f10(x43231,f907(x43232,a897),f906(x43231,x43232)),x43233),f241(x43231,x43232))),f246(x43231,x43232))),f79(f906(x43231,x43232),f317(f247(x43231,x43232,a897),x43233)))
% 199.17/199.21 [4324]E(f84(f906(x43241,x43242),f317(f317(f20(f906(x43241,x43242),x43242,a897),f317(f317(f10(x43241,f907(x43242,a897),f906(x43241,x43242)),x43243),f241(x43241,x43242))),f246(x43241,x43242))),f84(f906(x43241,x43242),f317(f247(x43241,x43242,a897),x43243)))
% 199.17/199.21 [4355]E(f317(f317(f277(f906(a901,x43551),x43551),f309(a901,x43551,a230,x43552)),f317(f317(f20(x43551,x43551,f906(a901,x43551)),f317(f317(f10(a901,f907(x43551,f906(a901,x43551)),x43551),f242(a901,x43551)),x43553)),f7(x43551))),f311(x43551,x43553,x43552))
% 199.17/199.21 [4415]E(f317(f248(x44151,x44151,x44152,x44152,f7(x44151),f7(x44152)),x44153),x44153)
% 199.17/199.21 [4494]E(f317(f132(f902(f902(x44941)),f902(f902(x44941)),f124(f902(x44941)),f103(f902(x44941))),f317(f317(f144(f902(x44941),f902(f902(x44941))),f317(f317(f9(f902(x44941),f902(x44941),f902(f902(x44941))),f317(f317(f10(f907(x44941,f902(x44941)),f907(f902(x44941),f902(f902(x44941))),f902(x44941)),f144(x44941,f902(x44941))),f317(f9(x44941,f902(x44941),f902(x44941)),f141(x44941)))),x44942)),f50(x44941,x44943,x44942))),f50(x44941,f317(a102,x44943),x44942))
% 199.17/199.21 [4561]E(f214(a901,f906(x45611,f903(x45611)),f2(a901),f317(f247(x45611,f903(x45611),a901),f317(f317(f9(x45611,a901,f907(f903(x45611),a901)),f317(f317(f10(f907(f903(x45611),f907(a901,a901)),f907(a901,f907(f903(x45611),a901)),x45611),f9(f903(x45611),a901,a901)),f317(f317(f10(f907(f903(x45611),a901),f907(f903(x45611),f907(a901,a901)),x45611),f317(f10(a901,f907(a901,a901),f903(x45611)),f74(a901))),f317(f317(f9(x45611,f907(f903(x45611),a901),f907(f903(x45611),a901)),f317(f317(f10(f907(a901,a901),f907(f907(f903(x45611),a901),f907(f903(x45611),a901)),x45611),f10(a901,a901,f903(x45611))),f317(f317(f10(a901,f907(a901,a901),x45611),f74(a901)),x45612))),f115(x45611,x45612))))),f72(a901))),f317(f125(x45611),x45613)),f317(f115(x45611,x45612),x45613))
% 199.17/199.21 [4568]E(f317(f317(f82(a1,x45681),f209(f317(f317(f67(f906(a1,a1),a1,x45681,f246(a1,a1)),f203(x45681)),x45682),f317(f317(f67(f906(a1,a1),a1,x45681,f246(a1,a1)),f203(x45681)),x45683))),f317(f317(f20(a1,a1,x45681),f317(f317(f10(a1,f907(a1,x45681),a1),f192(x45681)),f317(f317(f20(a1,a1,a1),f317(f317(f10(a1,f907(a1,a1),a1),f74(a1)),f317(f317(f10(a1,a1,a1),f317(f75(a1),f317(f317(f67(f906(a1,a1),a1,x45681,f241(a1,a1)),f203(x45681)),x45682))),f317(f317(f9(a1,a1,a1),f30(a1)),f317(f317(f67(f906(a1,a1),a1,x45681,f246(a1,a1)),f203(x45681)),x45682))))),f317(f317(f10(a1,a1,a1),f317(f75(a1),f317(f317(f67(f906(a1,a1),a1,x45681,f241(a1,a1)),f203(x45681)),x45683))),f317(f317(f9(a1,a1,a1),f30(a1)),f317(f317(f67(f906(a1,a1),a1,x45681,f246(a1,a1)),f203(x45681)),x45683)))))),f7(a1))),f221(x45681,x45682,x45683))
% 199.17/199.21 [4590]~E(f317(f317(f141(x45901),x45902),x45903),x45903)
% 199.17/199.21 [4593]~E(f317(f317(f141(x45931),x45932),x45933),f103(x45931))
% 199.17/199.21 [4599]~E(f317(f317(f299(x45991),x45992),x45993),f179(f907(x45991,a897)))
% 199.17/199.21 [4619]~E(f317(f300(x46191,f907(x46191,a897),x46192),x46193),f317(f298(x46191),x46193))
% 199.17/199.21 [3481]E(f317(f317(f149(x34811,f103(x34811)),x34812),x34813),f103(x34811))
% 199.17/199.21 [3482]E(f317(f131(x34821),f317(f317(f141(x34821),x34822),x34823)),x34822)
% 199.17/199.21 [3483]E(f317(f161(x34831),f317(f317(f141(x34831),x34832),x34833)),x34833)
% 199.17/199.21 [3524]E(f317(f317(f128(x35241),f72(a901)),f317(f317(f141(x35241),x35242),x35243)),x35243)
% 199.17/199.21 [3557]E(f104(x35571,f317(f317(f128(x35571),x35572),x35573)),f317(f317(f128(x35571),x35572),f104(x35571,x35573)))
% 199.17/199.21 [3559]E(f317(f317(f149(x35591,x35592),x35593),f317(f317(f154(x35591),x35592),x35593)),x35592)
% 199.17/199.21 [3578]E(f317(f317(f299(x35781),x35782),f317(f317(f299(x35781),x35782),x35783)),f317(f317(f299(x35781),x35782),x35783))
% 199.17/199.21 [3591]E(f317(f317(f299(x35911),x35912),f317(f162(x35911),x35913)),f317(f162(x35911),f317(f317(f141(x35911),x35912),x35913)))
% 199.17/199.21 [3593]E(f317(f317(f128(x35931),x35932),f317(f161(x35931),x35933)),f317(f161(x35931),f317(f317(f128(x35931),x35932),x35933)))
% 199.17/199.21 [3605]E(f317(f317(f165(x36051),f72(a901)),f317(f317(f141(x36051),x36052),x36053)),f317(f317(f141(x36051),x36052),f103(x36051)))
% 199.17/199.21 [3648]E(f317(f57(x36481,x36482),f317(f317(f299(x36481),x36483),f179(f907(x36481,a897)))),x36483)
% 199.17/199.21 [3688]E(f317(f317(f74(a901),x36881),f317(f317(f74(a901),x36882),x36883)),f317(f317(f74(a901),x36882),f317(f317(f74(a901),x36881),x36883)))
% 199.17/199.21 [3689]E(f317(f317(f74(a1),x36891),f317(f317(f74(a1),x36892),x36893)),f317(f317(f74(a1),x36892),f317(f317(f74(a1),x36891),x36893)))
% 199.17/199.21 [3694]E(f317(f317(f244(x36941,x36942),f179(f907(x36941,a897))),x36943),f179(f907(f906(x36941,x36942),a897)))
% 199.17/199.21 [3719]E(f317(f317(f91(f907(x37191,a897)),x37192),x37193),f317(f317(f91(f907(x37191,a897)),x37193),x37192))
% 199.17/199.21 [3720]E(f317(f317(f92(f907(x37201,a897)),x37202),x37203),f317(f317(f92(f907(x37201,a897)),x37203),x37202))
% 199.17/199.21 [3722]E(f317(f317(f124(x37221),x37222),f317(f317(f141(x37221),x37223),f103(x37221))),f317(f157(x37221),f317(f317(f141(x37221),x37223),x37222)))
% 199.17/199.21 [3723]E(f317(f317(f124(x37231),f317(f158(x37231),x37232)),f317(f158(x37231),x37233)),f317(f158(x37231),f317(f317(f124(x37231),x37233),x37232)))
% 199.17/199.21 [3733]E(f317(f161(x37331),f317(f317(f165(x37331),f317(a102,x37332)),x37333)),f317(f317(f165(x37331),x37332),f317(f161(x37331),x37333)))
% 199.17/199.21 [3741]P1(f317(f317(f319(x37411),x37412),f317(f317(f299(x37411),x37412),x37413)))
% 199.17/199.21 [3745]E(f317(f317(f34(x37451,f907(x37452,a897)),f179(f907(x37451,a897))),x37453),f232(f907(x37452,a897)))
% 199.17/199.21 [3748]E(f317(f274(x37481,x37481,f253(x37481,x37482)),x37483),f317(f317(f92(f907(x37481,a897)),x37482),x37483))
% 199.17/199.21 [3762]E(f317(f180(f902(x37621)),f317(f317(f141(x37621),x37622),x37623)),f317(f317(f74(a901),f317(f180(f902(x37621)),x37623)),f317(a102,f2(a901))))
% 199.17/199.21 [3767]E(f104(x37671,f317(f317(f124(x37671),x37672),f317(f317(f141(x37671),x37673),f103(x37671)))),x37672)
% 199.17/199.21 [3768]E(f134(x37681,f317(f317(f124(x37681),x37682),f317(f317(f141(x37681),x37683),f103(x37681)))),x37683)
% 199.17/199.21 [3776]E(f317(f317(f124(x37761),f317(f317(f165(x37761),x37762),x37763)),f317(f317(f128(x37761),x37762),x37763)),x37763)
% 199.17/199.21 [3785]E(f317(f317(f3(a901),f317(f317(f74(a901),x37851),x37852)),f317(f317(f74(a901),x37853),x37852)),f317(f317(f3(a901),x37851),x37853))
% 199.17/199.21 [3786]E(f317(f317(f3(a901),f317(f317(f74(a901),x37861),x37862)),f317(f317(f74(a901),x37861),x37863)),f317(f317(f3(a901),x37862),x37863))
% 199.17/199.21 [3792]E(f317(f317(f124(x37921),f317(f158(x37921),x37922)),f317(f317(f141(x37921),x37923),f103(x37921))),f317(f158(x37921),f317(f317(f141(x37921),x37923),x37922)))
% 199.17/199.21 [3794]E(f317(f317(f74(a901),f317(f180(f902(x37941)),x37942)),f317(f180(f902(x37941)),x37943)),f317(f180(f902(x37941)),f317(f317(f124(x37941),x37942),x37943)))
% 199.17/199.21 [3797]E(f317(f317(f74(a901),f317(f180(f902(x37971)),x37972)),f317(f180(f902(x37971)),x37973)),f317(f180(f902(x37971)),f163(x37971,x37972,x37973)))
% 199.17/199.21 [3804]E(f317(f317(f91(f907(x38041,a897)),f317(f162(x38041),x38042)),f317(f162(x38041),x38043)),f317(f162(x38041),f317(f317(f124(x38041),x38042),x38043)))
% 199.17/199.21 [3805]E(f40(a901,f317(f317(f75(a901),x38051),x38052),f317(f317(f75(a901),x38051),x38053)),f317(f317(f75(a901),x38051),f40(a901,x38052,x38053)))
% 199.17/199.21 [3817]E(f317(f317(f165(x38171),f317(f317(f3(a901),x38172),f72(a901))),f317(f161(x38171),x38173)),f317(f161(x38171),f317(f317(f165(x38171),x38172),x38173)))
% 199.17/199.21 [3822]E(f317(f317(f92(f907(x38221,a897)),x38222),f317(f73(f907(x38221,a897)),x38223)),f317(f317(f3(f907(x38221,a897)),x38222),x38223))
% 199.17/199.21 [3823]E(f317(f317(f3(f907(x38231,a897)),x38232),f317(f73(f907(x38231,a897)),x38233)),f317(f317(f92(f907(x38231,a897)),x38232),x38233))
% 199.17/199.21 [3839]E(f317(f317(f244(x38391,x38392),x38393),f317(f18(f907(x38392,a897),x38391),f179(f907(x38392,a897)))),f179(f907(f906(x38391,x38392),a897)))
% 199.17/199.21 [3841]E(f317(f317(f3(a901),f317(f317(f75(a901),x38411),x38412)),f317(f317(f75(a901),x38411),x38413)),f317(f317(f75(a901),x38411),f317(f317(f3(a901),x38412),x38413)))
% 199.17/199.21 [3842]E(f317(f317(f74(a901),f317(f317(f75(a901),x38421),x38422)),f317(f317(f75(a901),x38421),x38423)),f317(f317(f75(a901),x38421),f317(f317(f74(a901),x38422),x38423)))
% 199.17/199.21 [3843]E(f317(f317(f3(a1),f317(f317(f75(a1),x38431),x38432)),f317(f317(f75(a1),x38431),x38433)),f317(f317(f75(a1),x38431),f317(f317(f3(a1),x38432),x38433)))
% 199.17/199.21 [3844]E(f317(f317(f74(a1),f317(f317(f75(a1),x38441),x38442)),f317(f317(f75(a1),x38441),x38443)),f317(f317(f75(a1),x38441),f317(f317(f74(a1),x38442),x38443)))
% 199.17/199.21 [3845]E(f317(f317(f75(a1),f317(f317(f234(a1),x38451),x38452)),f317(f317(f234(a1),x38451),x38453)),f317(f317(f234(a1),x38451),f317(f317(f74(a901),x38452),x38453)))
% 199.17/199.21 [3858]E(f317(f317(f35(x38581,f907(x38582,a897)),x38583),f317(f18(f907(x38582,a897),x38581),f179(f907(x38582,a897)))),f179(f907(x38582,a897)))
% 199.17/199.21 [3860]E(f40(a901,f317(f317(f75(a901),x38601),x38602),f317(f317(f75(a901),x38603),x38602)),f317(f317(f75(a901),f40(a901,x38601,x38603)),x38602))
% 199.17/199.21 [3865]E(f40(a1,f317(f317(f3(a1),x38651),f40(a1,x38652,x38653)),x38653),f40(a1,f317(f317(f3(a1),x38651),x38652),x38653))
% 199.17/199.21 [3866]E(f40(a1,f317(f317(f75(a1),x38661),f40(a1,x38662,x38663)),x38663),f40(a1,f317(f317(f75(a1),x38661),x38662),x38663))
% 199.17/199.21 [3867]P1(f317(f317(f224(f907(x38671,a897)),x38672),f317(f317(f299(x38671),x38673),x38672)))
% 199.17/199.21 [3946]E(f317(f317(f34(f907(x39461,a897),f907(x39461,a897)),x39462),f317(f91(f907(x39461,a897)),x39463)),f317(f317(f91(f907(x39461,a897)),x39463),f32(f907(x39461,a897),x39462)))
% 199.17/199.21 [3947]E(f317(f317(f35(f907(x39471,a897),f907(x39471,a897)),x39472),f317(f92(f907(x39471,a897)),x39473)),f317(f317(f92(f907(x39471,a897)),x39473),f31(f907(x39471,a897),x39472)))
% 199.17/199.21 [3957]E(f317(f162(x39571),f317(f317(f317(f173(f902(x39571),f902(x39571)),x39572),f157(x39571)),x39573)),f317(f162(x39571),x39573))
% 199.17/199.21 [3961]E(f317(f317(f165(x39611),f317(f180(f902(x39611)),f167(x39611,x39612,x39613))),x39613),f167(x39611,x39612,x39613))
% 199.17/199.21 [3965]E(f317(f180(f902(x39651)),f317(f317(f317(f173(f902(x39651),f902(x39651)),x39652),f157(x39651)),x39653)),f317(f180(f902(x39651)),x39653))
% 199.17/199.21 [3968]E(f317(f317(f247(x39681,x39682,x39682),f317(f18(f907(x39682,x39682),x39681),f7(x39682))),x39683),f317(f246(x39681,x39682),x39683))
% 199.17/199.21 [3974]E(f40(a1,f317(f317(f3(a1),f40(a1,x39741,x39742)),x39743),x39742),f40(a1,f317(f317(f3(a1),x39741),x39743),x39742))
% 199.17/199.21 [3975]E(f40(a1,f317(f317(f234(a1),f40(a1,x39751,x39752)),x39753),x39752),f40(a1,f317(f317(f234(a1),x39751),x39753),x39752))
% 199.17/199.21 [3978]E(f317(f317(f35(f907(f906(x39781,x39782),a897),f907(x39782,a897)),x39783),f273(x39781,x39782)),f317(f273(x39781,x39782),f31(f907(f906(x39781,x39782),a897),x39783)))
% 199.17/199.21 [3979]E(f317(f317(f35(f907(f906(x39791,x39792),a897),f907(x39791,a897)),x39793),f254(x39791,x39792)),f317(f254(x39791,x39792),f31(f907(f906(x39791,x39792),a897),x39793)))
% 199.17/199.21 [3999]E(f317(f67(x39991,x39991,x39991,x39992),f317(f317(f173(x39991,x39991),x39993),x39992)),f317(f317(f173(x39991,x39991),f317(a102,x39993)),x39992))
% 199.17/199.21 [4017]E(f317(f317(f128(x40171),f317(f317(f3(a901),f317(f180(f902(x40171)),x40172)),x40173)),f317(f158(x40171),x40172)),f317(f158(x40171),f317(f317(f165(x40171),x40173),x40172)))
% 199.17/199.21 [4018]E(f317(f317(f165(x40181),f317(f317(f3(a901),f317(f180(f902(x40181)),x40182)),x40183)),f317(f158(x40181),x40182)),f317(f158(x40181),f317(f317(f128(x40181),x40183),x40182)))
% 199.17/199.21 [4020]E(f317(f317(f74(a901),f317(f155(a901),f317(f317(f144(x40201,a901),x40202),x40203))),f317(f180(f902(x40201)),x40203)),f145(x40201,x40202,x40203))
% 199.17/199.21 [4040]E(f317(f157(x40401),f317(f317(f317(f173(f902(x40401),f902(x40401)),x40402),f157(x40401)),x40403)),f317(f317(f317(f173(f902(x40401),f902(x40401)),f317(a102,x40402)),f157(x40401)),x40403))
% 199.17/199.21 [4056]P1(f317(f317(f224(a901),f317(f180(f902(x40561)),f317(f126(x40561,x40562),x40563))),f317(f180(f902(x40561)),x40563)))
% 199.17/199.21 [4071]E(f317(f317(f91(f907(f907(x40711,a897),a897)),f317(f298(x40711),x40712)),f317(f300(f907(x40711,a897),f907(x40711,a897),f317(f299(x40711),x40713)),f317(f298(x40711),x40712))),f317(f298(x40711),f317(f317(f299(x40711),x40713),x40712)))
% 199.17/199.21 [4102]P1(f317(f317(f224(a901),f317(f180(f902(x41021)),f167(x41021,x41022,x41023))),f317(f180(f902(x41021)),x41023)))
% 199.17/199.21 [4108]E(f317(f254(x41081,x41082),f317(f252(f906(x41081,x41082)),f317(f247(x41081,x41082,a897),x41083))),f317(f252(x41081),f317(f317(f10(f907(x41082,a897),a897,x41081),f80(x41082)),x41083)))
% 199.17/199.21 [4120]E(f317(f300(a901,a901,f317(f317(f9(a901,a901,a901),f74(a901)),x41201)),f294(a901,x41202,x41203)),f294(a901,f317(f317(f74(a901),x41202),x41201),f317(f317(f74(a901),x41203),x41201)))
% 199.17/199.21 [4134]E(f317(f300(a901,a901,f317(f317(f9(a901,a901,a901),f74(a901)),x41341)),f317(f293(a901,x41342),x41343)),f317(f293(a901,f317(f317(f74(a901),x41342),x41341)),f317(f317(f74(a901),x41343),x41341)))
% 199.17/199.21 [4151]E(f317(f317(f171(x41511,x41512),f317(f317(f144(f906(x41511,x41512),x41511),f241(x41511,x41512)),x41513)),f317(f317(f144(f906(x41511,x41512),x41512),f246(x41511,x41512)),x41513)),x41513)
% 199.17/199.21 [4156]E(f317(f317(f74(a901),f317(f317(f75(a901),x41561),f40(a901,f317(f317(f30(a901),x41562),x41561),x41563))),f40(a901,x41562,x41561)),f40(a901,x41562,f317(f317(f75(a901),x41561),x41563)))
% 199.17/199.21 [4168]E(f317(f317(f124(x41681),x41682),f317(f132(f902(x41681),f902(x41681),f124(x41681),f103(x41681)),x41683)),f317(f132(f902(x41681),f902(x41681),f124(x41681),x41682),x41683))
% 199.17/199.21 [4188]P1(f317(f317(f319(f906(x41881,x41881)),f317(f317(f242(x41881,x41881),x41882),x41882)),f317(f317(f173(f906(x41881,x41881),a897),f2(a901)),x41883)))
% 199.17/199.21 [4193]E(f317(f252(x41931),f317(f317(f10(f907(x41932,a897),a897,x41931),f80(x41932)),f317(f9(x41932,x41931,a897),x41933))),f317(f273(x41932,x41931),f317(f252(f906(x41932,x41931)),f317(f247(x41932,x41931,a897),x41933))))
% 199.17/199.21 [4210]E(f317(f317(f91(f907(x42101,a897)),f317(f317(f35(a901,f907(x42101,a897)),f294(a901,f72(a901),x42102)),x42103)),f317(x42103,f2(a901))),f317(f317(f35(a901,f907(x42101,a897)),f317(f292(a901),x42102)),x42103))
% 199.17/199.21 [4225]E(f317(f132(f902(x42251),f902(x42251),f124(x42251),f103(x42251)),f317(f317(f144(f902(x42251),f902(x42251)),f126(x42251,x42252)),x42253)),f317(f126(x42251,x42252),f317(f132(f902(x42251),f902(x42251),f124(x42251),f103(x42251)),x42253)))
% 199.17/199.21 [4229]E(f317(f246(f902(x42291),f902(x42291)),f156(x42291,x42292,x42293)),f317(f126(x42291,f317(f67(a897,a897,x42291,a312),x42292)),x42293))
% 199.17/199.21 [4268]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f75(a1),x42681),f317(f317(f30(a1),x42682),x42681))),f40(a1,x42682,x42681))),x42683),f317(f317(f74(a1),x42682),x42683))
% 199.17/199.21 [4309]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f75(a1),f317(f317(f30(a1),x43091),x43092)),x43092)),f40(a1,x43091,x43092))),x43093),f317(f317(f74(a1),x43091),x43093))
% 199.17/199.21 [4337]E(f79(f906(x43371,x43372),f317(f247(x43371,x43372,a897),f317(f317(f10(f907(x43372,f906(x43371,x43372)),f907(x43372,a897),x43371),f317(f10(f906(x43371,x43372),a897,x43372),x43373)),f242(x43371,x43372)))),f79(f906(x43371,x43372),x43373))
% 199.17/199.21 [4338]E(f84(f906(x43381,x43382),f317(f247(x43381,x43382,a897),f317(f317(f10(f907(x43382,f906(x43381,x43382)),f907(x43382,a897),x43381),f317(f10(f906(x43381,x43382),a897,x43382),x43383)),f242(x43381,x43382)))),f84(f906(x43381,x43382),x43383))
% 199.17/199.21 [4366]P1(f317(f317(f224(f907(x43661,a897)),f31(f907(x43661,a897),f317(f317(f92(f907(f907(x43661,a897),a897)),x43662),x43663))),f317(f317(f92(f907(x43661,a897)),f31(f907(x43661,a897),x43662)),f31(f907(x43661,a897),x43663))))
% 199.17/199.21 [4367]E(f317(f158(x43671),f317(f317(f317(f173(f902(x43671),f902(x43671)),f317(f317(f3(a901),f317(f180(f902(x43671)),x43672)),f40(a901,x43673,f317(f180(f902(x43671)),x43672)))),f157(x43671)),x43672)),f317(f317(f317(f173(f902(x43671),f902(x43671)),x43673),f157(x43671)),f317(f158(x43671),x43672)))
% 199.17/199.21 [4405]P1(f317(f317(f224(a901),f317(f180(f902(x44051)),f317(f317(f128(x44051),f317(f180(f902(x44051)),f167(x44051,x44052,x44053))),x44053))),f317(f180(f902(x44051)),x44053)))
% 199.17/199.21 [4629]~P1(f317(f56(x46291,x46292,f179(f907(x46291,a897))),x46293))
% 199.17/199.21 [4639]~P1(f317(f317(f319(f906(x46391,x46391)),f317(f317(f242(x46391,x46391),x46392),x46393)),f143(x46391,f103(f907(x46391,a901)))))
% 199.17/199.21 [3734]E(f317(f180(f902(x37341)),f317(f317(f165(x37341),x37342),x37343)),f317(f317(f228(a901),f317(f180(f902(x37341)),x37343)),x37342))
% 199.17/199.21 [3735]E(f317(f180(f902(x37351)),f317(f317(f128(x37351),x37352),x37353)),f317(f317(f3(a901),f317(f180(f902(x37351)),x37353)),x37352))
% 199.17/199.21 [3761]E(f317(f180(f902(f902(x37611))),f50(x37611,x37612,x37613)),f317(f317(f234(a901),f317(f180(f902(x37611)),x37613)),x37612))
% 199.17/199.21 [3778]E(f317(f317(f30(a901),f317(f317(f30(a901),x37781),x37782)),x37783),f317(f317(f30(a901),x37781),f317(f317(f75(a901),x37782),x37783)))
% 199.17/199.21 [3779]E(f317(f317(f3(a901),f317(f317(f3(a901),x37791),x37792)),x37793),f317(f317(f3(a901),x37791),f317(f317(f74(a901),x37792),x37793)))
% 199.17/199.21 [3780]E(f317(f317(f74(a901),f317(f317(f74(a901),x37801),x37802)),x37803),f317(f317(f74(a901),x37801),f317(f317(f74(a901),x37802),x37803)))
% 199.17/199.21 [3781]E(f317(f317(f74(a1),f317(f317(f74(a1),x37811),x37812)),x37813),f317(f317(f74(a1),x37811),f317(f317(f74(a1),x37812),x37813)))
% 199.17/199.21 [3782]E(f317(f317(f75(a901),f317(f317(f75(a901),x37821),x37822)),x37823),f317(f317(f75(a901),x37821),f317(f317(f75(a901),x37822),x37823)))
% 199.17/199.21 [3783]E(f317(f317(f75(a1),f317(f317(f75(a1),x37831),x37832)),x37833),f317(f317(f75(a1),x37831),f317(f317(f75(a1),x37832),x37833)))
% 199.17/199.21 [3784]E(f317(f317(f234(a1),f317(f317(f234(a1),x37841),x37842)),x37843),f317(f317(f234(a1),x37841),f317(f317(f75(a901),x37842),x37843)))
% 199.17/199.21 [3803]E(f152(x38031,f317(f317(f141(f907(x38031,a897)),x38032),x38033)),f164(x38031,x38032,f152(x38031,x38033)))
% 199.17/199.21 [3840]E(f317(f317(f3(a901),f317(f317(f3(a901),x38401),x38402)),x38403),f317(f317(f3(a901),f317(f317(f3(a901),x38401),x38403)),x38402))
% 199.17/199.21 [3848]E(f317(f317(f92(f907(x38481,a897)),x38482),f317(f317(f3(f907(x38481,a897)),x38483),x38482)),f179(f907(x38481,a897)))
% 199.17/199.21 [3852]E(f317(f317(f144(a901,x38521),f317(f18(x38521,a901),x38522)),f129(a901,f317(f293(a901,f2(a901)),x38523))),f159(x38521,x38523,x38522))
% 199.17/199.21 [3894]E(f31(f907(x38941,a897),f317(f317(f299(f907(x38941,a897)),x38942),x38943)),f317(f317(f91(f907(x38941,a897)),x38942),f31(f907(x38941,a897),x38943)))
% 199.17/199.21 [3895]E(f32(f907(x38951,a897),f317(f317(f299(f907(x38951,a897)),x38952),x38953)),f317(f317(f92(f907(x38951,a897)),x38952),f32(f907(x38951,a897),x38953)))
% 199.17/199.21 [3897]E(f159(x38971,f317(f180(f902(x38971)),f317(f126(x38971,f317(a314,x38972)),x38973)),x38972),f317(f126(x38971,f317(a314,x38972)),x38973))
% 199.17/199.21 [3899]E(f317(f317(f3(a901),f317(f317(f75(a901),x38991),x38992)),f317(f317(f75(a901),x38993),x38992)),f317(f317(f75(a901),f317(f317(f3(a901),x38991),x38993)),x38992))
% 199.17/199.21 [3900]E(f317(f317(f74(a901),f317(f317(f75(a901),x39001),x39002)),f317(f317(f75(a901),x39003),x39002)),f317(f317(f75(a901),f317(f317(f74(a901),x39001),x39003)),x39002))
% 199.17/199.21 [3901]E(f317(f317(f3(a1),f317(f317(f75(a1),x39011),x39012)),f317(f317(f75(a1),x39013),x39012)),f317(f317(f75(a1),f317(f317(f3(a1),x39011),x39013)),x39012))
% 199.17/199.21 [3902]E(f317(f317(f74(a1),f317(f317(f75(a1),x39021),x39022)),f317(f317(f75(a1),x39023),x39022)),f317(f317(f75(a1),f317(f317(f74(a1),x39021),x39023)),x39022))
% 199.17/199.21 [3903]E(f317(f317(f228(a901),f317(f317(f3(a901),x39031),x39032)),f317(f317(f3(a901),x39033),x39032)),f317(f317(f3(a901),f317(f317(f228(a901),x39031),x39033)),x39032))
% 199.17/199.21 [3923]E(f317(f317(f92(f907(f902(x39231),a897)),f150(x39231,x39232)),f150(x39231,x39233)),f150(x39231,f317(f317(f92(f907(x39231,a897)),x39232),x39233)))
% 199.17/199.21 [3926]E(f317(f317(f91(f907(x39261,a897)),x39262),f317(f317(f91(f907(x39261,a897)),x39262),x39263)),f317(f317(f91(f907(x39261,a897)),x39262),x39263))
% 199.17/199.21 [3927]E(f317(f317(f91(f907(x39271,a897)),x39272),f317(f317(f3(f907(x39271,a897)),x39273),x39272)),f317(f317(f91(f907(x39271,a897)),x39272),x39273))
% 199.17/199.21 [3928]E(f317(f317(f92(f907(x39281,a897)),x39282),f317(f317(f92(f907(x39281,a897)),x39282),x39283)),f317(f317(f92(f907(x39281,a897)),x39282),x39283))
% 199.17/199.21 [3940]E(f317(f317(f278(x39401,x39402,x39402),x39403),f297(x39402,f179(f907(f906(x39402,x39402),a897)))),x39403)
% 199.17/199.21 [3943]E(f317(f317(f91(f907(x39431,a897)),f317(f317(f299(x39431),x39432),f179(f907(x39431,a897)))),x39433),f317(f317(f299(x39431),x39432),x39433))
% 199.17/199.21 [3960]E(f317(f317(f3(a901),f317(f317(f3(a901),f317(a102,x39601)),x39602)),f317(a102,x39603)),f317(f317(f3(a901),f317(f317(f3(a901),x39601),x39602)),x39603))
% 199.17/199.21 [3986]E(f317(f317(f92(f907(f907(x39861,a897),a897)),f317(f298(x39861),x39862)),f317(f298(x39861),x39863)),f317(f298(x39861),f317(f317(f92(f907(x39861,a897)),x39862),x39863)))
% 199.17/199.21 [3989]E(f317(f317(f91(f907(x39891,a897)),f317(f73(f907(x39891,a897)),x39892)),x39893),f317(f73(f907(x39891,a897)),f317(f317(f3(f907(x39891,a897)),x39892),x39893)))
% 199.17/199.21 [3997]E(f317(f317(f299(x39971),x39972),f317(f317(f3(f907(x39971,a897)),x39973),f317(f317(f299(x39971),x39972),f179(f907(x39971,a897))))),f317(f317(f299(x39971),x39972),x39973))
% 199.17/199.21 [4006]P1(f317(f317(f224(f907(x40061,a897)),x40062),f317(f317(f91(f907(x40061,a897)),x40063),x40062)))
% 199.17/199.21 [4007]P1(f317(f317(f224(f907(x40071,a897)),x40072),f317(f317(f91(f907(x40071,a897)),x40072),x40073)))
% 199.17/199.21 [4011]E(f317(f317(f92(f907(x40111,a897)),f317(f73(f907(x40111,a897)),x40112)),f317(f73(f907(x40111,a897)),x40113)),f317(f73(f907(x40111,a897)),f317(f317(f91(f907(x40111,a897)),x40112),x40113)))
% 199.17/199.21 [4012]E(f317(f317(f91(f907(x40121,a897)),f317(f73(f907(x40121,a897)),x40122)),f317(f73(f907(x40121,a897)),x40123)),f317(f73(f907(x40121,a897)),f317(f317(f92(f907(x40121,a897)),x40122),x40123)))
% 199.17/199.21 [4026]P1(f317(f317(f224(f907(x40261,a897)),f317(f162(x40261),x40262)),f317(f162(x40261),f317(f317(f141(x40261),x40263),x40262))))
% 199.17/199.21 [4037]E(f317(f317(f91(f907(x40371,a897)),f317(f317(f3(f907(x40371,a897)),x40372),x40373)),f317(f317(f92(f907(x40371,a897)),x40372),x40373)),x40372)
% 199.17/199.21 [4089]E(f317(f317(f8(x40891,a1),f317(f317(f10(a901,a1,x40891),f90(a1)),x40892)),x40893),f317(f90(a1),f317(f317(f8(x40891,a901),x40892),x40893)))
% 199.17/199.21 [4090]E(f317(f317(f11(x40901,a1),f317(f317(f10(a901,a1,x40901),f90(a1)),x40902)),x40903),f317(f90(a1),f317(f317(f11(x40901,a901),x40902),x40903)))
% 199.17/199.21 [4136]E(f317(f317(f124(x41361),f167(x41361,x41362,x41363)),f317(f317(f128(x41361),f317(f180(f902(x41361)),f167(x41361,x41362,x41363))),x41363)),x41363)
% 199.17/199.21 [4139]E(f317(f73(f907(f906(x41391,x41392),a897)),f317(f317(f244(x41391,x41392),x41393),f317(f18(f907(x41392,a897),x41391),f232(f907(x41392,a897))))),f317(f317(f244(x41391,x41392),f317(f73(f907(x41391,a897)),x41393)),f317(f18(f907(x41392,a897),x41391),f232(f907(x41392,a897)))))
% 199.17/199.21 [4140]E(f317(f73(f907(f906(x41401,x41402),a897)),f317(f317(f244(x41401,x41402),f232(f907(x41401,a897))),f317(f18(f907(x41402,a897),x41401),x41403))),f317(f317(f244(x41401,x41402),f232(f907(x41401,a897))),f317(f18(f907(x41402,a897),x41401),f317(f73(f907(x41402,a897)),x41403))))
% 199.17/199.21 [4189]E(f317(f317(f35(f907(x41891,a897),f907(x41891,a897)),x41892),f317(f317(f9(f907(x41891,a897),f907(x41891,a897),f907(x41891,a897)),f92(f907(x41891,a897))),x41893)),f317(f317(f92(f907(x41891,a897)),f31(f907(x41891,a897),x41892)),x41893))
% 199.17/199.21 [4196]E(f317(f132(f902(x41961),f902(x41961),f124(x41961),f103(x41961)),f317(f317(f141(f902(x41961)),x41962),x41963)),f317(f317(f124(x41961),x41962),f317(f132(f902(x41961),f902(x41961),f124(x41961),f103(x41961)),x41963)))
% 199.17/199.21 [4216]E(f317(f317(f299(f907(x42161,a897)),f317(f274(x42161,x42161,x42162),f317(f317(f299(x42161),x42163),f179(f907(x42161,a897))))),f179(f907(f907(x42161,a897),a897))),f317(f317(f55(x42161),f317(f317(f299(x42161),x42163),f179(f907(x42161,a897)))),x42162))
% 199.17/199.21 [4226]E(f317(f317(f74(a901),f317(f317(f75(a901),x42261),f317(f317(f30(a901),x42262),x42263))),f317(f317(f30(a901),f317(f317(f75(a901),x42261),f40(a901,x42262,x42263))),x42263)),f317(f317(f30(a901),f317(f317(f75(a901),x42261),x42262)),x42263))
% 199.17/199.21 [4227]E(f317(f317(f74(a1),f317(f317(f75(a1),x42271),f317(f317(f30(a1),x42272),x42273))),f317(f317(f30(a1),f317(f317(f75(a1),x42271),f40(a1,x42272,x42273))),x42273)),f317(f317(f30(a1),f317(f317(f75(a1),x42271),x42272)),x42273))
% 199.17/199.21 [4255]E(f317(f317(f3(f907(x42551,a897)),f317(f162(x42551),x42552)),f317(f317(f299(x42551),x42553),f179(f907(x42551,a897)))),f317(f162(x42551),f317(f126(x42551,f317(f317(f10(a897,a897,x42551),a312),f317(a314,x42553))),x42552)))
% 199.17/199.21 [4307]E(f317(f317(f124(x43071),f317(f132(f902(x43071),f902(x43071),f124(x43071),f103(x43071)),x43072)),f317(f132(f902(x43071),f902(x43071),f124(x43071),f103(x43071)),x43073)),f317(f132(f902(x43071),f902(x43071),f124(x43071),f103(x43071)),f317(f317(f124(f902(x43071)),x43072),x43073)))
% 199.17/199.21 [4311]E(f317(f317(f242(f902(x43111),f902(x43111)),f317(f126(x43111,x43112),x43113)),f317(f126(x43111,f317(f67(a897,a897,x43111,a312),x43112)),x43113)),f156(x43111,x43112,x43113))
% 199.17/199.21 [4315]E(f317(f317(f74(a901),f317(f317(f74(a901),f317(f317(f30(a901),x43151),x43152)),f317(f317(f30(a901),x43153),x43152))),f317(f317(f30(a901),f317(f317(f74(a901),f40(a901,x43151,x43152)),f40(a901,x43153,x43152))),x43152)),f317(f317(f30(a901),f317(f317(f74(a901),x43151),x43153)),x43152))
% 199.17/199.21 [4316]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f30(a1),x43161),x43162)),f317(f317(f30(a1),x43163),x43162))),f317(f317(f30(a1),f317(f317(f74(a1),f40(a1,x43161,x43162)),f40(a1,x43163,x43162))),x43162)),f317(f317(f30(a1),f317(f317(f74(a1),x43161),x43163)),x43162))
% 199.17/199.21 [4370]E(f317(f317(f92(f907(f902(x43701),a897)),f317(f317(f9(f902(x43701),f907(f902(x43701),a897),a897),f319(f902(x43701))),f151(x43701,x43702))),f317(f317(f9(f902(x43701),f907(f902(x43701),a897),a897),f319(f902(x43701))),f151(x43701,x43703))),f150(x43701,f317(f317(f92(f907(x43701,a897)),f317(f317(f9(x43701,f907(x43701,a897),a897),f319(x43701)),x43702)),f317(f317(f9(x43701,f907(x43701,a897),a897),f319(x43701)),x43703))))
% 199.17/199.21 [4381]E(f317(f252(x43811),f317(f317(f20(x43811,a897,a897),f317(f317(f10(a897,f907(a897,a897),x43811),a316),f317(f317(f9(x43811,x43811,a897),a314),x43812))),f317(f317(f9(x43811,f907(x43811,a897),a897),f319(x43811)),x43813))),f317(f317(f299(x43811),x43812),x43813))
% 199.17/199.21 [4403]E(f317(f317(f82(f902(f902(x44031)),f902(f902(x44031))),f49(x44031,x44032)),f317(f317(f20(f902(f902(x44031)),f902(f902(x44031)),f902(f902(x44031))),f317(f317(f10(f902(f902(x44031)),f907(f902(f902(x44031)),f902(f902(x44031))),f902(f902(x44031))),f124(f902(x44031))),f317(f144(f902(x44031),f902(x44031)),f317(f141(x44031),x44033)))),f7(f902(f902(x44031))))),f49(x44031,f317(f317(f141(x44031),x44033),x44032)))
% 199.17/199.21 [4406]E(f317(f252(x44061),f317(f317(f20(x44061,a897,a897),f317(f317(f10(a897,f907(a897,a897),x44061),a316),f317(f317(f9(x44061,f907(x44061,a897),a897),f319(x44061)),x44062))),f317(f317(f9(x44061,f907(x44061,a897),a897),f319(x44061)),x44063))),f317(f317(f91(f907(x44061,a897)),x44062),x44063))
% 199.17/199.21 [4407]E(f317(f252(x44071),f317(f317(f20(x44071,a897,a897),f317(f317(f10(a897,f907(a897,a897),x44071),a315),f317(f317(f9(x44071,f907(x44071,a897),a897),f319(x44071)),x44072))),f317(f317(f9(x44071,f907(x44071,a897),a897),f319(x44071)),x44073))),f317(f317(f92(f907(x44071,a897)),x44072),x44073))
% 199.17/199.22 [4495]E(f317(f317(f35(x44951,f907(f907(x44951,a897),a897)),x44952),f317(f317(f9(x44951,f907(f907(x44951,a897),a897),f907(f907(x44951,a897),a897)),f317(f317(f10(f907(x44951,a897),f907(f907(f907(x44951,a897),a897),f907(f907(x44951,a897),a897)),x44951),f299(f907(x44951,a897))),f317(f317(f10(f907(x44951,a897),f907(x44951,a897),x44951),f274(x44951,x44951,x44953)),f317(f317(f9(x44951,f907(x44951,a897),f907(x44951,a897)),f299(x44951)),f179(f907(x44951,a897)))))),f179(f907(f907(x44951,a897),a897)))),f317(f317(f55(x44951),x44952),x44953))
% 199.17/199.22 [4504]E(f317(f317(f192(x45041),f317(f317(f75(a1),f317(f317(f67(f906(a1,a1),a1,x45041,f241(a1,a1)),f203(x45041)),x45042)),f317(f317(f67(f906(a1,a1),a1,x45041,f241(a1,a1)),f203(x45041)),x45043))),f317(f317(f75(a1),f317(f317(f67(f906(a1,a1),a1,x45041,f246(a1,a1)),f203(x45041)),x45042)),f317(f317(f67(f906(a1,a1),a1,x45041,f246(a1,a1)),f203(x45041)),x45043))),f219(x45041,x45042,x45043))
% 199.17/199.22 [4508]E(f317(f252(f902(x45081)),f317(f317(f20(f902(x45081),a897,a897),f317(f317(f10(a897,f907(a897,a897),f902(x45081)),a315),f317(f317(f9(f902(x45081),a901,a897),f317(f317(f10(a901,f907(a901,a897),f902(x45081)),a314),f180(f902(x45081)))),x45082))),f317(f317(f9(f902(x45081),f907(x45081,a897),a897),f317(f317(f10(f907(x45081,a897),f907(f907(x45081,a897),a897),f902(x45081)),f224(f907(x45081,a897))),f162(x45081))),f317(f162(x45081),x45083)))),f317(f162(f902(x45081)),f50(x45081,x45082,x45083)))
% 199.17/199.22 [3916]E(f40(a901,f317(f317(f74(a901),f317(f317(f75(a901),x39161),x39162)),x39163),x39162),f40(a901,x39163,x39162))
% 199.17/199.22 [3959]E(f129(a901,f317(f293(a901,f317(f317(f74(a901),x39591),x39592)),x39593)),f317(f317(f128(a901),x39592),f129(a901,f317(f293(a901,x39591),x39593))))
% 199.17/199.22 [3996]E(f317(f317(f74(a1),f317(f90(a1),x39961)),f317(f317(f74(a1),f317(f90(a1),x39962)),x39963)),f317(f317(f74(a1),f317(f90(a1),f317(f317(f74(a901),x39961),x39962))),x39963))
% 199.17/199.22 [4002]E(f317(f317(f91(f907(x40021,a897)),f317(f317(f3(f907(x40021,a897)),x40022),x40023)),x40023),f317(f317(f91(f907(x40021,a897)),x40022),x40023))
% 199.17/199.22 [4003]E(f317(f317(f3(f907(x40031,a897)),f317(f317(f3(f907(x40031,a897)),x40032),x40033)),x40033),f317(f317(f3(f907(x40031,a897)),x40032),x40033))
% 199.17/199.22 [4027]E(f317(f317(f278(x40271,x40271,x40272),f297(x40271,f179(f907(f906(x40271,x40271),a897)))),x40273),x40273)
% 199.17/199.22 [4035]E(f317(f317(f91(f907(x40351,a897)),f317(f271(x40351),x40352)),f317(f271(x40351),x40353)),f317(f271(x40351),f317(f317(f91(f907(f906(x40351,x40351),a897)),x40352),x40353)))
% 199.17/199.22 [4045]E(f256(x40451,f317(f317(f141(f906(a89,x40451)),f317(f317(f242(a89,x40451),f2(a89)),x40452)),x40453)),f256(x40451,x40453))
% 199.17/199.22 [4047]E(f317(f317(f91(f907(x40471,a897)),f31(f907(x40471,a897),x40472)),f31(f907(x40471,a897),x40473)),f31(f907(x40471,a897),f317(f317(f91(f907(f907(x40471,a897),a897)),x40472),x40473)))
% 199.17/199.22 [4048]E(f317(f317(f92(f907(x40481,a897)),f32(f907(x40481,a897),x40482)),f32(f907(x40481,a897),x40483)),f32(f907(x40481,a897),f317(f317(f91(f907(f907(x40481,a897),a897)),x40482),x40483)))
% 199.17/199.22 [4087]E(f317(f317(f278(x40871,x40871,x40871),f317(f317(f173(f906(x40871,x40871),a897),x40872),x40873)),x40873),f317(f317(f173(f906(x40871,x40871),a897),f317(a102,x40872)),x40873))
% 199.17/199.22 [4128]P1(f317(f317(f224(f907(x41281,a897)),f317(f317(f3(f907(x41281,a897)),x41282),x41283)),x41282))
% 199.17/199.22 [4129]P1(f317(f317(f224(f907(x41291,a897)),f317(f317(f92(f907(x41291,a897)),x41292),x41293)),x41293))
% 199.17/199.22 [4130]P1(f317(f317(f224(f907(x41301,a897)),f317(f317(f92(f907(x41301,a897)),x41302),x41303)),x41302))
% 199.17/199.22 [4153]E(f297(x41531,f317(f317(f91(f907(f906(x41531,x41531),a897)),f297(x41531,x41532)),f297(x41531,x41533))),f297(x41531,f317(f317(f91(f907(f906(x41531,x41531),a897)),x41532),x41533)))
% 199.17/199.22 [4157]E(f31(f907(x41571,a897),f317(f317(f299(f907(x41571,a897)),x41572),f317(f317(f299(f907(x41571,a897)),x41573),f179(f907(f907(x41571,a897),a897))))),f317(f317(f91(f907(x41571,a897)),x41572),x41573))
% 199.17/199.22 [4158]E(f32(f907(x41581,a897),f317(f317(f299(f907(x41581,a897)),x41582),f317(f317(f299(f907(x41581,a897)),x41583),f179(f907(f907(x41581,a897),a897))))),f317(f317(f92(f907(x41581,a897)),x41582),x41583))
% 199.17/199.22 [4163]E(f317(f317(f278(x41631,x41631,x41631),f317(f317(f173(f906(x41631,x41631),a897),x41632),x41633)),x41633),f317(f317(f278(x41631,x41631,x41631),x41633),f317(f317(f173(f906(x41631,x41631),a897),x41632),x41633)))
% 199.17/199.22 [4230]E(f317(f317(f91(f907(x42301,a897)),f317(f252(x42301),f317(f317(f9(x42301,x42301,a897),a314),x42302))),x42303),f317(f317(f299(x42301),x42302),x42303))
% 199.17/199.22 [4231]E(f317(a95,f317(f317(f8(x42311,a1),f317(f317(f10(a901,a1,x42311),f90(a1)),x42312)),x42313)),f317(f317(f8(x42311,a901),x42312),x42313))
% 199.17/199.22 [4232]E(f317(a95,f317(f317(f11(x42321,a1),f317(f317(f10(a901,a1,x42321),f90(a1)),x42322)),x42323)),f317(f317(f11(x42321,a901),x42322),x42323))
% 199.17/199.22 [4304]E(f317(f146(f902(x43041),x43041,f317(f161(x43041),x43042),f317(f18(f907(f902(x43041),f902(x43041)),x43041),f317(f317(f9(f902(x43041),f902(x43041),f902(x43041)),f124(x43041)),x43042))),x43043),f317(f161(x43041),f317(f317(f124(x43041),x43043),x43042)))
% 199.17/199.22 [4332]P1(f317(f317(f224(f907(f907(x43321,a897),a897)),f317(f317(f91(f907(f907(x43321,a897),a897)),f317(f298(x43321),x43322)),f317(f298(x43321),x43323))),f317(f298(x43321),f317(f317(f91(f907(x43321,a897)),x43322),x43323))))
% 199.17/199.22 [4421]E(f317(f252(x44211),f317(f317(f20(x44211,a897,a897),f317(f317(f10(a897,f907(a897,a897),x44211),a315),f317(f317(f9(x44211,f907(x44211,a897),a897),f319(x44211)),x44212))),f317(f317(f10(a897,a897,x44211),a312),f317(f317(f9(x44211,f907(x44211,a897),a897),f319(x44211)),x44213)))),f317(f317(f3(f907(x44211,a897)),x44212),x44213))
% 199.17/199.22 [4447]E(f317(f29(a901),f317(f252(a901),f317(f317(f20(a901,a897,a897),f317(f317(f10(a897,f907(a897,a897),a901),a315),f317(f317(f9(a901,a901,a897),f225(a901)),f317(f180(f902(x44471)),x44472)))),f317(f317(f10(x44471,a897,a901),x44473),f317(f154(x44471),x44472))))),f317(f180(f902(x44471)),f317(f126(x44471,x44473),x44472)))
% 199.17/199.22 [4449]E(f317(f180(f902(x44491)),f166(x44491,x44492,x44493)),f317(f29(a901),f317(f252(a901),f317(f317(f20(a901,a897,a897),f317(f317(f10(a897,f907(a897,a897),a901),a315),f317(f317(f9(a901,a901,a897),f225(a901)),f317(f180(f902(x44491)),x44492)))),f317(f317(f9(a901,f907(a901,a897),a897),f319(a901)),x44493)))))
% 199.17/199.22 [4559]E(f317(f317(f92(f907(f906(f902(x45591),f902(x45591)),a897)),f317(f300(f906(f906(x45591,f902(x45591)),f906(x45591,f902(x45591))),f906(f902(x45591),f902(x45591)),f248(f906(x45591,f902(x45591)),f902(x45591),f906(x45591,f902(x45591)),f902(x45591),f317(f247(x45591,f902(x45591),f902(x45591)),f141(x45591)),f317(f247(x45591,f902(x45591),f902(x45591)),f141(x45591)))),f309(x45591,f902(x45591),x45592,f317(f133(x45591,x45592),x45593)))),f317(f252(f906(f902(x45591),f902(x45591))),f317(f247(f902(x45591),f902(x45591),a897),f317(f317(f9(f902(x45591),f907(f902(x45591),a897),f907(f902(x45591),a897)),f317(f317(f10(f907(a897,a897),f907(f907(f902(x45591),a897),f907(f902(x45591),a897)),f902(x45591)),f10(a897,a897,f902(x45591))),f317(f317(f10(a897,f907(a897,a897),f902(x45591)),a315),f317(f317(f9(f902(x45591),a901,a897),f317(f317(f10(a901,f907(a901,a897),f902(x45591)),a314),f180(f902(x45591)))),f317(a102,x45593))))),f317(f317(f9(f902(x45591),a901,a897),f317(f317(f10(a901,f907(a901,a897),f902(x45591)),a314),f180(f902(x45591)))),f317(a102,x45593)))))),f317(f133(x45591,x45592),f317(a102,x45593)))
% 199.17/199.22 [4049]E(f40(a901,f317(a102,f317(f317(f74(a901),f317(f317(f75(a901),x40491),x40492)),x40493)),x40492),f40(a901,f317(a102,x40493),x40492))
% 199.17/199.22 [4286]E(f317(f252(x42861),f317(f317(f20(x42861,a897,a897),f317(f317(f10(a897,f907(a897,a897),x42861),a315),x42862)),x42863)),f317(f317(f92(f907(x42861,a897)),f317(f252(x42861),x42862)),f317(f252(x42861),x42863)))
% 199.17/199.22 [4287]E(f317(f252(x42871),f317(f317(f20(x42871,a897,a897),f317(f317(f10(a897,f907(a897,a897),x42871),a316),x42872)),x42873)),f317(f317(f91(f907(x42871,a897)),f317(f252(x42871),x42872)),f317(f252(x42871),x42873)))
% 199.17/199.22 [4289]E(f317(f317(f124(x42891),f317(f317(f128(x42891),f40(a901,x42892,f317(f180(f902(x42891)),x42893))),x42893)),f317(f317(f165(x42891),f40(a901,x42892,f317(f180(f902(x42891)),x42893))),x42893)),f317(f317(f317(f173(f902(x42891),f902(x42891)),x42892),f157(x42891)),x42893))
% 199.17/199.22 [4295]E(f317(f252(x42951),f317(f317(f20(x42951,a897,a897),f317(f317(f10(a897,f907(a897,a897),x42951),a320),x42952)),x42953)),f317(f317(f91(f907(x42951,a897)),f317(f73(f907(x42951,a897)),f317(f252(x42951),x42952))),f317(f252(x42951),x42953)))
% 199.17/199.22 [4317]E(f317(f317(f74(a901),f317(f180(f902(x43171)),f317(f126(x43171,x43172),x43173))),f317(f180(f902(x43171)),f317(f126(x43171,f317(f317(f10(a897,a897,x43171),a312),x43172)),x43173))),f317(f180(f902(x43171)),x43173))
% 199.17/199.22 [4340]P1(f317(f317(f224(f907(x43401,a897)),f317(f317(f91(f907(x43401,a897)),f32(f907(x43401,a897),x43402)),f32(f907(x43401,a897),x43403))),f32(f907(x43401,a897),f317(f317(f92(f907(f907(x43401,a897),a897)),x43402),x43403))))
% 199.17/199.22 [4353]E(f317(f162(x43531),f317(f126(x43531,f317(f317(f10(a897,a897,x43531),a312),f317(f317(f9(x43531,x43531,a897),a314),x43532))),x43533)),f317(f317(f3(f907(x43531,a897)),f317(f162(x43531),x43533)),f317(f317(f299(x43531),x43532),f179(f907(x43531,a897)))))
% 199.17/199.22 [4362]P1(f317(f317(f224(f907(f906(x43621,x43621),a897)),f317(f317(f91(f907(f906(x43621,x43621),a897)),f297(x43621,x43622)),f297(x43621,x43623))),f297(x43621,f317(f317(f91(f907(f906(x43621,x43621),a897)),x43622),x43623))))
% 199.17/199.22 [4386]E(f317(f317(f75(a901),f317(a102,f317(a102,f2(a901)))),f317(f317(f8(a901,a901),f317(f317(f10(a901,a901,a901),f317(f74(a901),x43861)),f317(f317(f9(a901,a901,a901),f75(a901)),x43862))),f317(f290(a901),x43863))),f317(f317(f75(a901),x43863),f317(f317(f74(a901),x43861),f317(f317(f74(a901),x43861),f317(f317(f75(a901),f317(f317(f3(a901),x43863),f72(a901))),x43862)))))
% 199.17/199.22 [4398]E(f317(f252(x43981),f317(f317(f20(x43981,a897,a897),f317(f317(f10(a897,f907(a897,a897),x43981),a315),f317(f317(f9(x43981,f907(x43981,a897),a897),f319(x43981)),f317(f162(x43981),x43982)))),x43983)),f317(f162(x43981),f317(f126(x43981,x43983),x43982)))
% 199.17/199.22 [4558]E(f317(f252(x45581),f317(f317(f10(f907(a901,a897),a897,x45581),f80(a901)),f317(f317(f9(x45581,f907(a901,a897),f907(a901,a897)),f317(f317(f10(f907(a901,f907(a897,a897)),f907(f907(a901,a897),f907(a901,a897)),x45581),f20(a901,a897,a897)),f317(f317(f10(f907(a901,a897),f907(a901,f907(a897,a897)),x45581),f317(f10(a897,f907(a897,a897),a901),a315)),f317(f317(f9(x45581,f907(a901,x45581),f907(a901,a897)),f317(f317(f10(f907(x45581,a897),f907(f907(a901,x45581),f907(a901,a897)),x45581),f10(x45581,a897,a901)),a314)),f317(f154(x45581),x45582))))),f317(f317(f20(a901,a897,a897),f317(f317(f10(a897,f907(a897,a897),a901),a315),f317(f317(f9(a901,a901,a897),f225(a901)),f317(f180(f902(x45581)),x45582)))),f317(f317(f9(a901,f907(a901,a897),a897),f319(a901)),x45583))))),f317(f162(x45581),f166(x45581,x45582,x45583)))
% 199.17/199.22 [4435]E(f317(f252(x44351),f317(f317(f20(x44351,a897,a897),f317(f317(f10(a897,f907(a897,a897),x44351),a320),f317(f317(f10(a897,a897,x44351),a312),f317(f317(f9(x44351,x44351,a897),a314),x44352)))),x44353)),f317(f317(f299(x44351),x44352),f317(f252(x44351),x44353)))
% 199.17/199.22 [4473]E(f317(f317(f144(f906(x44731,a901),x44731),f241(x44731,a901)),f317(f126(f906(x44731,a901),f317(f317(f9(f906(x44731,a901),f907(a901,a897),a897),f317(f317(f10(a901,f907(f907(a901,a897),a897),f906(x44731,a901)),f319(a901)),f246(x44731,a901))),x44732)),f317(f317(f171(x44731,a901),x44733),f129(a901,f317(f293(a901,f2(a901)),f317(f180(f902(x44731)),x44733)))))),f166(x44731,x44733,x44732))
% 199.17/199.22 [4541]E(f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f317(f317(f8(a901,a1),f317(f317(f10(a1,a1,a901),f317(f74(a1),x45411)),f317(f317(f9(a901,a1,a1),f317(f317(f10(a1,f907(a1,a1),a901),f75(a1)),f90(a1))),x45412))),f317(f290(a901),x45413))),f317(f317(f75(a1),f317(f90(a1),x45413)),f317(f317(f74(a1),x45411),f317(f317(f74(a1),x45411),f317(f317(f75(a1),f317(f90(a1),f317(f317(f3(a901),x45413),f72(a901)))),x45412)))))
% 199.17/199.22 [4551]E(f317(f252(f906(x45511,x45512)),f317(f247(x45511,x45512,a897),f317(f317(f9(x45511,f907(f906(x45512,x45511),a897),f907(x45512,a897)),f317(f317(f10(f907(x45512,f907(f907(f906(x45512,x45511),a897),a897)),f907(f907(f906(x45512,x45511),a897),f907(x45512,a897)),x45511),f9(x45512,f907(f906(x45512,x45511),a897),a897)),f317(f317(f10(f907(x45512,f906(x45512,x45511)),f907(x45512,f907(f907(f906(x45512,x45511),a897),a897)),x45511),f317(f10(f906(x45512,x45511),f907(f907(f906(x45512,x45511),a897),a897),x45512),f319(f906(x45512,x45511)))),f317(f9(x45512,x45511,f906(x45512,x45511)),f242(x45512,x45511))))),x45513))),f317(f275(x45512,x45511),x45513))
% 199.17/199.22 [4570]E(f317(f252(f902(x45701)),f317(f317(f10(f907(x45701,a897),a897,f902(x45701)),f80(x45701)),f317(f317(f10(f907(x45701,f907(f902(x45701),a897)),f907(x45701,a897),f902(x45701)),f317(f10(f907(f902(x45701),a897),a897,x45701),f80(f902(x45701)))),f317(f317(f9(f902(x45701),f907(x45701,f907(f902(x45701),a897)),f907(x45701,f907(f902(x45701),a897))),f317(f317(f10(f907(x45701,f907(f907(f902(x45701),a897),f907(f902(x45701),a897))),f907(f907(x45701,f907(f902(x45701),a897)),f907(x45701,f907(f902(x45701),a897))),f902(x45701)),f20(x45701,f907(f902(x45701),a897),f907(f902(x45701),a897))),f317(f317(f10(f907(x45701,f907(f902(x45701),f907(a897,a897))),f907(x45701,f907(f907(f902(x45701),a897),f907(f902(x45701),a897))),f902(x45701)),f317(f10(f907(f902(x45701),f907(a897,a897)),f907(f907(f902(x45701),a897),f907(f902(x45701),a897)),x45701),f20(f902(x45701),a897,a897))),f317(f317(f10(f907(x45701,f907(f902(x45701),a897)),f907(x45701,f907(f902(x45701),f907(a897,a897))),f902(x45701)),f317(f10(f907(f902(x45701),a897),f907(f902(x45701),f907(a897,a897)),x45701),f317(f10(a897,f907(a897,a897),f902(x45701)),a315))),f317(f317(f9(f902(x45701),f907(x45701,f907(f902(x45701),f902(x45701))),f907(x45701,f907(f902(x45701),a897))),f317(f317(f10(f907(f907(f902(x45701),f902(x45701)),f907(f902(x45701),a897)),f907(f907(x45701,f907(f902(x45701),f902(x45701))),f907(x45701,f907(f902(x45701),a897))),f902(x45701)),f10(f907(f902(x45701),f902(x45701)),f907(f902(x45701),a897),x45701)),f317(f317(f10(f907(f902(x45701),a897),f907(f907(f902(x45701),f902(x45701)),f907(f902(x45701),a897)),f902(x45701)),f10(f902(x45701),a897,f902(x45701))),a314))),f141(x45701)))))),f317(f317(f9(x45701,f907(f902(x45701),a897),f907(f902(x45701),a897)),f317(f317(f10(f907(a897,a897),f907(f907(f902(x45701),a897),f907(f902(x45701),a897)),x45701),f10(a897,a897,f902(x45701))),f317(f317(f10(a897,f907(a897,a897),x45701),a315),f317(f317(f9(x45701,f907(x45701,a897),a897),f319(x45701)),x45702)))),f317(f317(f9(f902(x45701),f907(f902(x45701),a897),a897),f319(f902(x45701))),x45703)))))),f164(x45701,x45702,x45703))
% 199.17/199.22 [4571]E(f317(f317(f82(a1,f906(a1,a1)),f317(f317(f3(a1),x45711),x45712)),f317(f317(f9(a1,f906(a1,a1),f906(a1,a1)),f317(f317(f20(a1,f906(a1,a1),f907(f906(a1,a1),f906(a1,a1))),f317(f317(f10(a897,f907(f906(a1,a1),f907(f906(a1,a1),f906(a1,a1))),a1),f86(f906(a1,a1))),f317(f224(a1),f2(a1)))),f317(f242(a1,a1),f317(f317(f74(a1),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x45713)),f72(a1))))),f317(f317(f242(a1,a1),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x45713)),x45711))),f317(f38(x45712),f317(f317(f242(a1,a1),x45713),x45711)))
% 199.17/199.22 [3620]E(f106(x36201,f317(x36202,x36203),f317(x36204,x36203)),f317(f194(x36201,x36202,x36204),x36203))
% 199.17/199.22 [3672]E(f317(f317(f235(x36721,x36722,x36723),x36724),f2(a901)),x36722)
% 199.17/199.22 [3711]E(f175(x37111,x37112,x37113,f317(a102,x37114)),f317(x37113,x37114))
% 199.17/199.22 [3753]E(f160(x37531,x37532,f160(x37531,x37533,x37534)),f160(x37531,x37533,f160(x37531,x37532,x37534)))
% 199.17/199.22 [3754]E(f116(x37541,x37542,f106(x37541,x37543,x37544)),f106(x37541,f116(x37541,x37542,x37543),x37544))
% 199.17/199.22 [3884]E(f317(f146(x38841,x38842,x38843,x38844),f103(x38842)),x38843)
% 199.17/199.22 [3885]E(f317(f132(x38851,x38852,x38853,x38854),f103(x38852)),x38854)
% 199.17/199.22 [3922]E(f317(f180(f905(x39221,x39222)),f211(x39221,x39222,x39223,x39224)),f2(a901))
% 199.17/199.22 [3945]E(f317(f247(x39451,x39452,x39453),f245(x39451,x39452,x39453,x39454)),x39454)
% 199.17/199.22 [3985]E(f317(f317(f124(x39851),f159(x39851,x39852,x39853)),f159(x39851,x39854,x39853)),f317(f317(f124(x39851),f159(x39851,x39854,x39853)),f159(x39851,x39852,x39853)))
% 199.17/199.22 [4069]E(f317(f317(f249(x40691,x40692,x40693,f906(x40692,x40693)),x40694),f242(x40692,x40693)),x40694)
% 199.17/199.22 [4079]E(f117(x40791,x40792,x40793,x40794,f109(x40792)),x40793)
% 199.17/199.22 [4086]E(f69(x40861,x40862,x40863,x40864,f317(x40863,x40864)),x40863)
% 199.17/199.22 [4347]P39(x43471,x43472,x43473,x43474,f179(f907(x43471,a897)),x43474)
% 199.17/199.22 [3428]E(f317(f317(f18(x34281,x34282),x34283),x34284),x34283)
% 199.17/199.22 [3701]E(f160(x37011,x37012,f317(f126(x37011,x37013),x37014)),f317(f126(x37011,x37013),f160(x37011,x37012,x37014)))
% 199.17/199.22 [3736]E(f317(f317(f58(x37361,x37362,x37363),x37364),f179(f907(x37361,a897))),x37364)
% 199.17/199.22 [3760]E(f317(f317(f154(x37601),f317(f317(f141(x37601),x37602),x37603)),f317(a102,x37604)),f317(f317(f154(x37601),x37603),x37604))
% 199.17/199.22 [3827]E(f317(f317(x38271,x38272),f317(f174(x38273,x38274,x38271),x38272)),f317(f174(x38273,x38274,x38271),f317(a102,x38272)))
% 199.17/199.22 [3861]E(f245(x38611,x38612,x38613,f317(f247(x38611,x38612,x38613),x38614)),x38614)
% 199.17/199.22 [3920]E(f317(f317(f149(x39201,f317(f317(f141(x39201),x39202),x39203)),f2(a901)),x39204),f317(f317(f141(x39201),x39204),x39203))
% 199.17/199.22 [3930]E(f317(f317(f35(f907(x39301,a897),f907(x39302,a897)),x39303),f300(x39301,x39302,x39304)),f317(f300(x39301,x39302,x39304),f31(f907(x39301,a897),x39303)))
% 199.17/199.22 [3931]E(f317(f317(f35(f907(x39311,a897),f907(x39312,a897)),x39313),f301(x39312,x39311,x39314)),f317(f301(x39312,x39311,x39314),f31(f907(x39311,a897),x39313)))
% 199.17/199.22 [3954]E(f110(x39541,f120(x39542,f903(x39541),x39543,x39544)),f317(f108(x39542,x39541,x39544),x39543))
% 199.17/199.22 [4023]E(f317(f115(x40231,x40232),f116(x40231,x40233,x40234)),f317(f317(f74(a901),f317(f317(f74(a901),f317(x40232,x40233)),f317(f115(x40231,x40232),x40234))),f317(a102,f2(a901))))
% 199.17/199.22 [4044]E(f317(f132(x40441,x40442,f317(f9(x40442,x40441,x40441),x40443),x40444),f317(f158(x40442),f103(x40442))),x40444)
% 199.17/199.22 [4147]E(f214(x41471,f906(x41472,f903(x41472)),x41473,f317(f247(x41472,f903(x41472),x41471),x41474),f317(f125(x41472),f109(x41472))),x41473)
% 199.17/199.22 [4271]E(f317(f247(x42711,x42712,x42713),f317(f317(f10(f907(x42712,f906(x42711,x42712)),f907(x42712,x42713),x42711),f317(f10(f906(x42711,x42712),x42713,x42712),x42714)),f242(x42711,x42712))),x42714)
% 199.17/199.22 [3611]E(f317(f246(x36111,x36112),f317(f317(f242(x36111,x36112),x36113),x36114)),x36114)
% 199.17/199.22 [3612]E(f317(f241(x36121,x36122),f317(f317(f242(x36121,x36122),x36123),x36124)),x36123)
% 199.17/199.22 [3646]E(f317(f180(f902(x36461)),f317(f317(f149(x36461,x36462),x36463),x36464)),f317(f180(f902(x36461)),x36462))
% 199.17/199.22 [3647]E(f317(f180(f902(x36471)),f317(f317(f144(x36472,x36471),x36473),x36474)),f317(f180(f902(x36472)),x36474))
% 199.17/199.22 [3666]E(f317(f317(f128(x36661),f317(a102,x36662)),f317(f317(f141(x36661),x36663),x36664)),f317(f317(f128(x36661),x36662),x36664))
% 199.17/199.22 [3731]E(f317(f317(f165(x37311),x37312),f159(x37311,x37313,x37314)),f159(x37311,f317(f317(f228(a901),x37312),x37313),x37314))
% 199.17/199.22 [3732]E(f317(f317(f128(x37321),x37322),f159(x37321,x37323,x37324)),f159(x37321,f317(f317(f3(a901),x37323),x37322),x37324))
% 199.17/199.22 [3738]E(f317(f317(f299(x37381),x37382),f317(f317(f299(x37381),x37383),x37384)),f317(f317(f299(x37381),x37383),f317(f317(f299(x37381),x37382),x37384)))
% 199.17/199.22 [3742]E(f317(f317(f144(x37421,x37422),x37423),f104(x37421,x37424)),f104(x37422,f317(f317(f144(x37421,x37422),x37423),x37424)))
% 199.17/199.22 [3758]E(f317(f158(x37581),f317(f317(f144(x37582,x37581),x37583),x37584)),f317(f317(f144(x37582,x37581),x37583),f317(f158(x37582),x37584)))
% 199.17/199.22 [3759]E(f317(f317(f144(x37591,x37592),x37593),f317(f161(x37591),x37594)),f317(f161(x37592),f317(f317(f144(x37591,x37592),x37593),x37594)))
% 199.17/199.22 [3774]E(f317(f317(f165(x37741),f317(a102,x37742)),f317(f317(f141(x37741),x37743),x37744)),f317(f317(f141(x37741),x37743),f317(f317(f165(x37741),x37742),x37744)))
% 199.17/199.22 [3777]E(f317(f162(x37771),f317(f317(f144(x37772,x37771),x37773),x37774)),f317(f300(x37772,x37771,x37773),f317(f162(x37772),x37774)))
% 199.17/199.22 [3790]E(f317(f317(f144(x37901,x37902),f317(f18(x37902,x37901),x37903)),x37904),f159(x37902,f317(f180(f902(x37901)),x37904),x37903))
% 199.17/199.22 [3826]E(f19(x38261,x38262,x38263,f317(a5,f317(a102,f317(a22,x38264)))),f317(x38263,x38264))
% 199.17/199.22 [3830]E(f317(f317(f124(x38301),f317(f126(x38301,x38302),x38303)),f317(f126(x38301,x38302),x38304)),f317(f126(x38301,x38302),f317(f317(f124(x38301),x38303),x38304)))
% 199.17/199.22 [3837]E(f142(x38371,f317(f317(f144(x38372,x38371),x38373),f142(x38372,x38374))),f142(x38371,f317(f317(f144(x38372,x38371),x38373),x38374)))
% 199.17/199.22 [3851]E(f317(f275(x38511,x38511),f317(f317(f277(x38512,x38511),x38513),x38514)),f317(f317(f277(x38512,x38511),f317(f275(x38512,x38512),x38513)),x38514))
% 199.17/199.22 [3862]E(f317(f317(f278(x38621,x38622,x38623),x38624),f179(f907(f906(x38622,x38623),a897))),f179(f907(f906(x38621,x38623),a897)))
% 199.17/199.22 [3863]E(f317(f317(f165(x38631),f317(f317(f3(a901),x38632),x38633)),f317(f317(f128(x38631),x38633),x38634)),f317(f317(f128(x38631),x38633),f317(f317(f165(x38631),x38632),x38634)))
% 199.17/199.22 [3887]E(f317(f317(f124(x38871),f159(x38871,x38872,x38873)),f159(x38871,x38874,x38873)),f159(x38871,f317(f317(f74(a901),x38872),x38874),x38873))
% 199.17/199.22 [3888]E(f317(f317(f317(f268(x38881),x38882),x38883),x38884),f317(f242(f907(a89,f907(a897,f904(f903(x38881)))),f906(a89,a89)),f317(f37(x38881),x38882)))
% 199.17/199.22 [3913]E(f31(f907(x39131,a897),f317(f300(x39132,f907(x39131,a897),x39133),x39134)),f317(f317(f35(x39132,f907(x39131,a897)),x39134),x39133))
% 199.17/199.22 [3914]E(f32(f907(x39141,a897),f317(f300(x39142,f907(x39141,a897),x39143),x39144)),f317(f317(f34(x39142,f907(x39141,a897)),x39144),x39143))
% 199.17/199.22 [3915]E(f317(f180(f902(f906(x39151,x39152))),f317(f317(f171(x39151,x39152),x39153),x39154)),f317(f317(f228(a901),f317(f180(f902(x39151)),x39153)),f317(f180(f902(x39152)),x39154)))
% 199.17/199.22 [3917]E(f317(f301(x39171,x39172,x39173),f317(f73(f907(x39172,a897)),x39174)),f317(f73(f907(x39171,a897)),f317(f301(x39171,x39172,x39173),x39174)))
% 199.17/199.22 [3964]E(f317(f301(x39641,x39642,x39643),f317(f252(x39642),x39644)),f317(f252(x39641),f317(f317(f10(x39642,a897,x39641),x39644),x39643)))
% 199.17/199.22 [3981]E(f317(f317(f154(x39811),f317(f317(f124(x39811),x39812),f317(f317(f141(x39811),x39813),x39814))),f317(f180(f902(x39811)),x39812)),x39813)
% 199.17/199.22 [4000]E(f317(f300(x40001,x40002,x40003),f317(f301(x40001,x40002,x40003),x40004)),f317(f317(f92(f907(x40002,a897)),x40004),f317(f300(x40001,x40002,x40003),f232(f907(x40001,a897)))))
% 199.17/199.22 [4019]P1(f317(f317(f319(x40191),f317(x40192,x40193)),f317(f300(x40194,x40191,x40192),f232(f907(x40194,a897)))))
% 199.17/199.22 [4028]E(f21(x40281,x40282,x40283,f317(a5,f317(a102,f317(a22,x40284)))),f317(f317(x40283,x40284),f21(x40281,x40282,x40283,x40284)))
% 199.17/199.22 [4032]E(f317(f317(f124(x40321),f159(x40321,x40322,x40323)),f317(f317(f141(x40321),x40323),x40324)),f317(f317(f141(x40321),x40323),f317(f317(f124(x40321),f159(x40321,x40322,x40323)),x40324)))
% 199.17/199.22 [4034]E(f317(f317(f244(x40341,x40342),f317(f162(x40341),x40343)),f317(f18(f907(x40342,a897),x40341),f317(f162(x40342),x40344))),f317(f162(f906(x40341,x40342)),f54(x40341,x40342,x40343,x40344)))
% 199.17/199.22 [4046]E(f145(x40461,x40462,f317(f317(f141(x40461),x40463),x40464)),f317(f317(f74(a901),f317(f317(f74(a901),f317(x40462,x40463)),f145(x40461,x40462,x40464))),f317(a102,f2(a901))))
% 199.17/199.22 [4061]E(f175(f902(x40611),f317(f317(f141(x40611),x40612),x40613),f317(f317(f9(a901,f902(x40611),f902(x40611)),f128(x40611)),x40613),x40614),f317(f317(f128(x40611),x40614),f317(f317(f141(x40611),x40612),x40613)))
% 199.17/199.22 [4062]P22(x40621,f906(x40622,x40621),f321(x40623,x40624,x40622,x40621),f317(f317(f35(x40622,f907(x40621,a897)),x40624),x40623))
% 199.17/199.22 [4070]E(f317(f317(f3(f907(x40701,a897)),f317(f317(f3(f907(x40701,a897)),x40702),x40703)),f317(f317(f299(x40701),x40704),f179(f907(x40701,a897)))),f317(f317(f3(f907(x40701,a897)),x40702),f317(f317(f299(x40701),x40704),x40703)))
% 199.17/199.22 [4084]E(f317(f317(f173(f907(x40841,x40842),f907(x40841,x40842)),x40843),f67(x40842,x40842,x40841,x40844)),f67(x40842,x40842,x40841,f317(f317(f173(x40842,x40842),x40843),x40844)))
% 199.17/199.22 [4152]E(f317(f317(f317(f173(f902(x41521),f902(x41521)),x41522),f157(x41521)),f317(f317(f317(f173(f902(x41521),f902(x41521)),x41523),f157(x41521)),x41524)),f317(f317(f317(f173(f902(x41521),f902(x41521)),f317(f317(f74(a901),x41522),x41523)),f157(x41521)),x41524))
% 199.17/199.22 [4233]P1(f317(f317(f224(f907(x42331,a897)),f317(f162(x42331),f317(f317(f149(x42331,x42332),x42333),x42334))),f317(f317(f299(x42331),x42334),f317(f162(x42331),x42332))))
% 199.17/199.22 [4259]E(f317(f317(f35(f907(x42591,a897),f907(f906(x42591,x42592),a897)),x42593),f317(f317(f9(f907(x42591,a897),f907(x42591,f907(x42592,a897)),f907(f906(x42591,x42592),a897)),f244(x42591,x42592)),x42594)),f317(f317(f244(x42591,x42592),f31(f907(x42591,a897),x42593)),x42594))
% 199.17/199.22 [4303]E(f200(x43031,x43032,x43033,f317(f67(x43032,f907(a89,f907(a89,f907(f906(a89,a89),f907(a89,f903(x43032))))),x43031,f199(x43032)),x43034)),f201(x43031,x43032,x43034,x43033))
% 199.17/199.22 [4320]E(f196(x43201,x43202,x43203,f317(f67(x43202,f907(a89,f907(a89,f907(f906(a89,a89),f907(a89,f903(f904(x43202)))))),x43201,f195(x43202)),x43204)),f197(x43201,x43202,x43204,x43203))
% 199.17/199.22 [4327]P1(f317(f60(x43271,x43272,x43273,x43274,f179(f907(x43271,a897))),x43274))
% 199.17/199.22 [4365]E(f317(f317(f35(x43651,f907(x43652,a897)),x43653),f317(f317(f9(x43651,f907(x43652,a897),f907(x43652,a897)),f317(f317(f10(x43652,f907(f907(x43652,a897),f907(x43652,a897)),x43651),f299(x43652)),x43654)),f179(f907(x43652,a897)))),f317(f300(x43651,x43652,x43654),x43653))
% 199.17/199.22 [4372]P1(f317(f317(f224(f907(x43721,a897)),f317(f273(x43722,x43721),f317(f317(f92(f907(f906(x43722,x43721),a897)),x43723),x43724))),f317(f317(f92(f907(x43721,a897)),f317(f273(x43722,x43721),x43723)),f317(f273(x43722,x43721),x43724))))
% 199.17/199.22 [4373]P1(f317(f317(f224(f907(x43731,a897)),f317(f254(x43731,x43732),f317(f317(f92(f907(f906(x43731,x43732),a897)),x43733),x43734))),f317(f317(f92(f907(x43731,a897)),f317(f254(x43731,x43732),x43733)),f317(f254(x43731,x43732),x43734))))
% 199.17/199.22 [4431]P1(f317(f317(f224(f907(f906(x44311,x44312),a897)),f317(f300(x44312,f906(x44311,x44312),f321(x44313,x44314,x44311,x44312)),f317(f317(f35(x44311,f907(x44312,a897)),x44314),x44313))),f317(f317(f244(x44311,x44312),x44314),x44313)))
% 199.17/199.22 [4432]E(f317(f108(x44321,f906(x44321,x44322),x44323),f317(f317(f10(f907(x44322,f903(f906(x44321,x44322))),f903(f906(x44321,x44322)),x44321),f108(x44322,f906(x44321,x44322),x44324)),f317(f317(f10(f907(x44322,f906(x44321,x44322)),f907(x44322,f903(f906(x44321,x44322))),x44321),f317(f10(f906(x44321,x44322),f903(f906(x44321,x44322)),x44322),f119(f906(x44321,x44322)))),f242(x44321,x44322)))),f121(x44321,x44322,x44323,x44324))
% 199.17/199.22 [4433]E(f266(x44331,x44332,x44333,f317(f67(x44332,f907(a89,f907(a89,f907(f906(a89,a89),f906(f907(a89,f907(a897,f904(f903(x44332)))),f906(a89,a89))))),x44331,f268(x44332)),x44334)),f269(x44331,x44332,x44334,x44333))
% 199.17/199.22 [4479]E(f79(f906(x44791,x44792),f317(f247(x44791,x44792,a897),f317(f317(f9(x44791,f907(x44792,a897),f907(x44792,a897)),f317(f317(f10(f907(a897,a897),f907(f907(x44792,a897),f907(x44792,a897)),x44791),f10(a897,a897,x44792)),f317(f317(f10(a897,f907(a897,a897),x44791),a315),f317(a314,x44793)))),f317(a314,x44794)))),f317(f317(f242(x44791,x44792),x44793),x44794))
% 199.17/199.22 [4480]E(f84(f906(x44801,x44802),f317(f247(x44801,x44802,a897),f317(f317(f9(x44801,f907(x44802,a897),f907(x44802,a897)),f317(f317(f10(f907(a897,a897),f907(f907(x44802,a897),f907(x44802,a897)),x44801),f10(a897,a897,x44802)),f317(f317(f10(a897,f907(a897,a897),x44801),a315),f317(a314,x44803)))),f317(a314,x44804)))),f317(f317(f242(x44801,x44802),x44803),x44804))
% 199.17/199.22 [4560]E(f317(f317(f247(f902(x45601),f902(x45601),f906(f902(x45601),f902(x45601))),f317(f317(f20(f902(x45601),f907(f902(x45601),f906(f902(x45601),f902(x45601))),f907(f902(x45601),f906(f902(x45601),f902(x45601)))),f317(f317(f10(f907(f902(x45601),f907(f906(f902(x45601),f902(x45601)),f906(f902(x45601),f902(x45601)))),f907(f907(f902(x45601),f906(f902(x45601),f902(x45601))),f907(f902(x45601),f906(f902(x45601),f902(x45601)))),f902(x45601)),f20(f902(x45601),f906(f902(x45601),f902(x45601)),f906(f902(x45601),f902(x45601)))),f317(f317(f10(f907(f902(x45601),f906(f902(x45601),f902(x45601))),f907(f902(x45601),f907(f906(f902(x45601),f902(x45601)),f906(f902(x45601),f902(x45601)))),f902(x45601)),f317(f10(f906(f902(x45601),f902(x45601)),f907(f906(f902(x45601),f902(x45601)),f906(f902(x45601),f902(x45601))),f902(x45601)),f317(f86(f906(f902(x45601),f902(x45601))),f317(x45602,x45603)))),f317(f317(f10(f902(x45601),f907(f902(x45601),f906(f902(x45601),f902(x45601))),f902(x45601)),f242(f902(x45601),f902(x45601))),f317(f141(x45601),x45603))))),f317(f317(f9(f902(x45601),f907(f902(x45601),f902(x45601)),f907(f902(x45601),f906(f902(x45601),f902(x45601)))),f317(f317(f10(f907(f902(x45601),f906(f902(x45601),f902(x45601))),f907(f907(f902(x45601),f902(x45601)),f907(f902(x45601),f906(f902(x45601),f902(x45601)))),f902(x45601)),f10(f902(x45601),f906(f902(x45601),f902(x45601)),f902(x45601))),f242(f902(x45601),f902(x45601)))),f317(f141(x45601),x45603)))),f156(x45601,x45602,x45604)),f156(x45601,x45602,f317(f317(f141(x45601),x45603),x45604)))
% 199.17/199.22 [3806]E(f317(f317(f165(x38061),x38062),f317(f317(f165(x38061),x38063),x38064)),f317(f317(f165(x38061),f317(f317(f228(a901),x38062),x38063)),x38064))
% 199.17/199.22 [3807]E(f317(f317(f128(x38071),x38072),f317(f317(f128(x38071),x38073),x38074)),f317(f317(f128(x38071),f317(f317(f74(a901),x38072),x38073)),x38074))
% 199.17/199.22 [3818]E(f317(f317(f124(x38181),f317(f317(f141(x38181),x38182),x38183)),x38184),f317(f317(f141(x38181),x38182),f317(f317(f124(x38181),x38183),x38184)))
% 199.17/199.22 [3819]E(f317(f317(f124(x38191),f317(f317(f124(x38191),x38192),x38193)),x38194),f317(f317(f124(x38191),x38192),f317(f317(f124(x38191),x38193),x38194)))
% 199.17/199.22 [3898]E(f317(f317(f154(x38981),f317(f317(f141(x38981),x38982),x38983)),x38984),f175(x38981,x38982,f317(f154(x38981),x38983),x38984))
% 199.17/199.22 [3906]E(f317(f317(f173(x39061,x39061),x39062),f317(f317(f173(x39061,x39061),x39063),x39064)),f317(f317(f173(x39061,x39061),f317(f317(f75(a901),x39063),x39062)),x39064))
% 199.17/199.22 [3933]E(f317(f317(f91(f907(x39331,a897)),x39332),f317(f317(f299(x39331),x39333),x39334)),f317(f317(f299(x39331),x39333),f317(f317(f91(f907(x39331,a897)),x39332),x39334)))
% 199.17/199.22 [3948]E(f317(f317(f317(f173(x39481,x39481),x39482),x39483),f317(x39483,x39484)),f317(x39483,f317(f317(f317(f173(x39481,x39481),x39482),x39483),x39484)))
% 199.17/199.22 [3955]E(f317(f317(f278(x39551,x39552,x39553),f179(f907(f906(x39551,x39552),a897))),x39554),f179(f907(f906(x39551,x39553),a897)))
% 199.17/199.22 [3969]E(f317(f317(f91(f907(x39691,a897)),f317(f317(f299(x39691),x39692),x39693)),x39694),f317(f317(f299(x39691),x39692),f317(f317(f91(f907(x39691,a897)),x39693),x39694)))
% 199.17/199.22 [3987]E(f317(f29(f906(x39871,x39872)),f317(f317(f244(x39871,x39872),x39873),f317(f18(f907(x39872,a897),x39871),x39874))),f317(f317(f75(a901),f317(f29(x39871),x39873)),f317(f29(x39872),x39874)))
% 199.17/199.22 [3993]E(f317(f317(f92(f907(x39931,a897)),f317(f317(f299(x39931),x39932),x39933)),f317(f317(f299(x39931),x39932),x39934)),f317(f317(f299(x39931),x39932),f317(f317(f92(f907(x39931,a897)),x39933),x39934)))
% 199.17/199.22 [4004]E(f317(f317(f91(f907(x40041,a897)),x40042),f317(f317(f91(f907(x40041,a897)),x40043),x40044)),f317(f317(f91(f907(x40041,a897)),x40043),f317(f317(f91(f907(x40041,a897)),x40042),x40044)))
% 199.17/199.22 [4005]E(f317(f317(f92(f907(x40051,a897)),x40052),f317(f317(f92(f907(x40051,a897)),x40053),x40054)),f317(f317(f92(f907(x40051,a897)),x40053),f317(f317(f92(f907(x40051,a897)),x40052),x40054)))
% 199.17/199.22 [4015]E(f58(x40151,x40152,f317(f317(f10(x40152,f907(x40152,x40152),x40151),x40153),x40154)),f317(f59(x40152,x40151,x40153),x40154))
% 199.17/199.22 [4024]E(f169(x40241,f317(f317(f144(f902(x40242),f902(x40241)),f317(f144(x40242,x40241),x40243)),x40244)),f317(f317(f144(f902(x40242),f902(x40241)),f317(f144(x40242,x40241),x40243)),f169(x40242,x40244)))
% 199.17/199.22 [4043]E(f317(f132(f902(x40431),f902(x40431),f124(x40431),f103(x40431)),f317(f317(f144(x40432,f902(x40431)),x40433),x40434)),f153(x40432,x40431,x40433,x40434))
% 199.17/199.22 [4101]E(f317(f67(x41011,x41011,x41011,f317(f317(f173(x41011,x41011),x41012),x41013)),f317(f317(f173(x41011,x41011),x41014),x41013)),f317(f317(f173(x41011,x41011),f317(f317(f74(a901),x41012),x41014)),x41013))
% 199.17/199.22 [4123]E(f317(f317(f92(f907(x41231,a897)),f317(f317(f91(f907(x41231,a897)),x41232),x41233)),f317(f317(f91(f907(x41231,a897)),x41232),x41234)),f317(f317(f91(f907(x41231,a897)),x41232),f317(f317(f92(f907(x41231,a897)),x41233),x41234)))
% 199.17/199.22 [4124]E(f317(f317(f92(f907(x41241,a897)),f317(f317(f3(f907(x41241,a897)),x41242),x41243)),f317(f317(f3(f907(x41241,a897)),x41242),x41244)),f317(f317(f3(f907(x41241,a897)),x41242),f317(f317(f91(f907(x41241,a897)),x41243),x41244)))
% 199.17/199.22 [4125]E(f317(f317(f91(f907(x41251,a897)),f317(f317(f3(f907(x41251,a897)),x41252),x41253)),f317(f317(f3(f907(x41251,a897)),x41252),x41254)),f317(f317(f3(f907(x41251,a897)),x41252),f317(f317(f92(f907(x41251,a897)),x41253),x41254)))
% 199.17/199.22 [4126]E(f317(f317(f91(f907(x41261,a897)),f317(f317(f92(f907(x41261,a897)),x41262),x41263)),f317(f317(f92(f907(x41261,a897)),x41262),x41264)),f317(f317(f92(f907(x41261,a897)),x41262),f317(f317(f91(f907(x41261,a897)),x41263),x41264)))
% 199.17/199.22 [4127]E(f317(f317(f3(f907(x41271,a897)),f317(f317(f92(f907(x41271,a897)),x41272),x41273)),f317(f317(f92(f907(x41271,a897)),x41272),x41274)),f317(f317(f92(f907(x41271,a897)),x41272),f317(f317(f3(f907(x41271,a897)),x41273),x41274)))
% 199.17/199.22 [4132]E(f317(f29(f906(x41321,x41322)),f317(f317(f244(x41321,x41322),f317(f317(f299(x41321),x41323),f179(f907(x41321,a897)))),f317(f18(f907(x41322,a897),x41321),x41324))),f317(f29(x41322),x41324))
% 199.17/199.22 [4166]E(f317(f317(f35(x41661,f907(x41662,a897)),x41663),f317(f317(f10(f907(x41662,a897),f907(x41662,a897),x41661),f73(f907(x41662,a897))),x41664)),f317(f73(f907(x41662,a897)),f317(f317(f34(x41661,f907(x41662,a897)),x41663),x41664)))
% 199.17/199.22 [4167]E(f317(f317(f34(x41671,f907(x41672,a897)),x41673),f317(f317(f10(f907(x41672,a897),f907(x41672,a897),x41671),f73(f907(x41672,a897))),x41674)),f317(f73(f907(x41672,a897)),f317(f317(f35(x41671,f907(x41672,a897)),x41673),x41674)))
% 199.17/199.22 [4181]E(f317(f317(f278(x41811,x41811,x41811),f317(f317(f173(f906(x41811,x41811),a897),x41812),x41813)),f317(f317(f173(f906(x41811,x41811),a897),x41814),x41813)),f317(f317(f173(f906(x41811,x41811),a897),f317(f317(f74(a901),x41812),x41814)),x41813))
% 199.17/199.22 [4211]E(f317(f317(f34(x42111,f907(f907(x42112,a897),a897)),x42113),f317(f317(f10(f907(x42112,a897),f907(f907(x42112,a897),a897),x42111),f298(x42112)),x42114)),f317(f298(x42112),f317(f317(f34(x42111,f907(x42112,a897)),x42113),x42114)))
% 199.17/199.22 [4238]E(f317(f317(f34(f907(x42381,a897),f907(x42382,a897)),x42383),f317(f317(f9(f907(x42381,a897),f907(x42381,f907(x42382,a897)),f907(x42382,a897)),f34(x42381,f907(x42382,a897))),x42384)),f317(f317(f34(x42381,f907(x42382,a897)),f31(f907(x42381,a897),x42383)),x42384))
% 199.17/199.22 [4239]E(f317(f317(f35(f907(x42391,a897),f907(x42392,a897)),x42393),f317(f317(f9(f907(x42391,a897),f907(x42391,f907(x42392,a897)),f907(x42392,a897)),f35(x42391,f907(x42392,a897))),x42394)),f317(f317(f35(x42391,f907(x42392,a897)),f31(f907(x42391,a897),x42393)),x42394))
% 199.17/199.22 [4242]E(f317(f317(f144(x42421,x42422),x42423),f317(f132(f902(x42421),f902(x42421),f124(x42421),f103(x42421)),x42424)),f317(f132(f902(x42422),f902(x42422),f124(x42422),f103(x42422)),f317(f317(f144(f902(x42421),f902(x42422)),f317(f144(x42421,x42422),x42423)),x42424)))
% 199.17/199.22 [4244]E(f175(f902(x42441),f103(x42441),f317(f317(f10(f902(x42441),f902(x42441),a901),f317(f141(x42441),x42442)),f317(f317(f9(a901,f902(x42441),f902(x42441)),f165(x42441)),x42443)),x42444),f317(f317(f165(x42441),x42444),f317(f317(f141(x42441),x42442),x42443)))
% 199.17/199.22 [4280]P1(f317(f317(f224(f907(x42801,a897)),f317(f300(x42802,x42801,x42803),f317(f301(x42802,x42801,x42803),x42804))),x42804))
% 199.17/199.22 [4282]E(f317(f300(f906(x42821,x42822),f906(x42822,x42821),f317(f247(x42821,x42822,f906(x42822,x42821)),f317(f9(x42822,x42821,f906(x42822,x42821)),f242(x42822,x42821)))),f317(f317(f244(x42821,x42822),x42823),f317(f18(f907(x42822,a897),x42821),x42824))),f317(f317(f244(x42822,x42821),x42824),f317(f18(f907(x42821,a897),x42822),x42823)))
% 199.17/199.22 [4291]E(f317(f317(f35(x42911,f907(x42912,a897)),x42913),f317(f317(f10(f907(x42911,a897),f907(x42912,a897),x42911),f274(x42911,x42912,x42914)),f317(f317(f9(x42911,f907(x42911,a897),f907(x42911,a897)),f299(x42911)),f179(f907(x42911,a897))))),f317(f274(x42911,x42912,x42914),x42913))
% 199.17/199.22 [4292]E(f317(f317(f35(x42921,f907(x42922,a897)),x42923),f317(f317(f10(f907(x42921,a897),f907(x42922,a897),x42921),f301(x42922,x42921,x42924)),f317(f317(f9(x42921,f907(x42921,a897),f907(x42921,a897)),f299(x42921)),f179(f907(x42921,a897))))),f317(f301(x42922,x42921,x42924),x42923))
% 199.17/199.22 [4385]E(f317(f317(f92(f907(x43851,a897)),f317(f317(f92(f907(x43851,a897)),f317(f317(f91(f907(x43851,a897)),x43852),x43853)),f317(f317(f91(f907(x43851,a897)),x43853),x43854))),f317(f317(f91(f907(x43851,a897)),x43854),x43852)),f317(f317(f91(f907(x43851,a897)),f317(f317(f91(f907(x43851,a897)),f317(f317(f92(f907(x43851,a897)),x43852),x43853)),f317(f317(f92(f907(x43851,a897)),x43853),x43854))),f317(f317(f92(f907(x43851,a897)),x43854),x43852)))
% 199.17/199.22 [4448]E(f317(f132(f902(x44481),f902(x44481),f124(x44481),f103(x44481)),f317(f317(f144(x44482,f902(x44481)),f317(f317(f9(x44482,f902(x44481),f902(x44481)),f317(f317(f10(x44481,f907(f902(x44481),f902(x44481)),x44482),f141(x44481)),x44483)),f103(x44481))),x44484)),f317(f317(f144(x44482,x44481),x44483),x44484))
% 199.17/199.22 [4463]E(f317(f317(f82(a1,x44631),f317(f94(a1),f317(f317(f74(a1),x44632),a87))),f317(f317(f20(a1,x44631,x44631),f317(f317(f9(a1,x44631,f907(x44631,x44631)),f317(f317(f10(a897,f907(x44631,f907(x44631,x44631)),a1),f86(x44631)),a184)),x44633)),f317(f317(f10(a901,x44631,a1),x44634),a95))),f175(x44631,x44633,x44634,f317(f94(a901),x44632)))
% 199.17/199.22 [4492]E(f317(f252(x44921),f317(f317(f10(f907(x44922,a897),a897,x44921),f80(x44922)),f317(f317(f10(f907(x44922,a897),f907(x44922,a897),x44921),f317(f20(x44922,a897,a897),f317(f317(f10(a897,f907(a897,a897),x44922),a315),f317(f317(f9(x44922,f907(x44922,a897),a897),f319(x44922)),x44923)))),f317(f9(x44922,x44921,a897),x44924)))),f317(f274(x44922,x44921,f317(f252(f906(x44922,x44921)),f317(f247(x44922,x44921,a897),x44924))),x44923))
% 199.17/199.22 [4634]~P1(f317(f317(f179(f907(x46341,f907(x46342,a897))),x46343),x46344))
% 199.17/199.22 [3958]E(f317(f317(f154(x39581),f317(f317(f124(x39581),x39582),x39583)),f317(f317(f74(a901),f317(f180(f902(x39581)),x39582)),x39584)),f317(f317(f154(x39581),x39583),x39584))
% 199.17/199.22 [3963]E(f317(f317(f128(x39631),x39632),f317(f317(f165(x39631),f317(f317(f74(a901),x39633),x39632)),x39634)),f317(f317(f165(x39631),x39633),f317(f317(f128(x39631),x39632),x39634)))
% 199.17/199.22 [4059]E(f317(f317(f91(f907(x40591,a897)),f317(f273(x40592,x40591),x40593)),f317(f273(x40592,x40591),x40594)),f317(f273(x40592,x40591),f317(f317(f91(f907(f906(x40592,x40591),a897)),x40593),x40594)))
% 199.17/199.22 [4060]E(f317(f317(f91(f907(x40601,a897)),f317(f254(x40601,x40602),x40603)),f317(f254(x40601,x40602),x40604)),f317(f254(x40601,x40602),f317(f317(f91(f907(f906(x40601,x40602),a897)),x40603),x40604)))
% 199.17/199.22 [4064]E(f317(f317(f91(f907(x40641,a897)),f317(f317(f91(f907(x40641,a897)),x40642),x40643)),x40644),f317(f317(f91(f907(x40641,a897)),x40642),f317(f317(f91(f907(x40641,a897)),x40643),x40644)))
% 199.17/199.22 [4065]E(f317(f317(f3(f907(x40651,a897)),f317(f317(f92(f907(x40651,a897)),x40652),x40653)),x40654),f317(f317(f92(f907(x40651,a897)),x40652),f317(f317(f3(f907(x40651,a897)),x40653),x40654)))
% 199.17/199.22 [4066]E(f317(f317(f92(f907(x40661,a897)),f317(f317(f92(f907(x40661,a897)),x40662),x40663)),x40664),f317(f317(f92(f907(x40661,a897)),x40662),f317(f317(f92(f907(x40661,a897)),x40663),x40664)))
% 199.17/199.22 [4103]E(f317(f317(f91(f907(f906(x41031,x41032),a897)),f317(f275(x41032,x41031),x41033)),f317(f275(x41032,x41031),x41034)),f317(f275(x41032,x41031),f317(f317(f91(f907(f906(x41032,x41031),a897)),x41033),x41034)))
% 199.17/199.22 [4104]E(f317(f317(f92(f907(f906(x41041,x41042),a897)),f317(f275(x41042,x41041),x41043)),f317(f275(x41042,x41041),x41044)),f317(f275(x41042,x41041),f317(f317(f92(f907(f906(x41042,x41041),a897)),x41043),x41044)))
% 199.17/199.22 [4116]E(f317(f317(f91(f907(x41161,f907(x41162,a897))),f233(x41162,x41161,x41163)),f233(x41162,x41161,x41164)),f233(x41162,x41161,f317(f317(f91(f907(x41162,f907(x41161,a897))),x41163),x41164)))
% 199.17/199.22 [4117]E(f317(f317(f92(f907(x41171,f907(x41172,a897))),f233(x41172,x41171,x41173)),f233(x41172,x41171,x41174)),f233(x41172,x41171,f317(f317(f92(f907(x41172,f907(x41171,a897))),x41173),x41174)))
% 199.17/199.22 [4169]E(f317(f317(f92(f907(x41691,a897)),f317(f317(f91(f907(x41691,a897)),x41692),x41693)),f317(f317(f91(f907(x41691,a897)),x41694),x41693)),f317(f317(f91(f907(x41691,a897)),f317(f317(f92(f907(x41691,a897)),x41692),x41694)),x41693))
% 199.17/199.22 [4170]E(f317(f317(f91(f907(x41701,a897)),f317(f317(f3(f907(x41701,a897)),x41702),x41703)),f317(f317(f3(f907(x41701,a897)),x41704),x41703)),f317(f317(f3(f907(x41701,a897)),f317(f317(f91(f907(x41701,a897)),x41702),x41704)),x41703))
% 199.17/199.22 [4171]E(f317(f317(f91(f907(x41711,a897)),f317(f317(f92(f907(x41711,a897)),x41712),x41713)),f317(f317(f92(f907(x41711,a897)),x41714),x41713)),f317(f317(f92(f907(x41711,a897)),f317(f317(f91(f907(x41711,a897)),x41712),x41714)),x41713))
% 199.17/199.22 [4172]E(f317(f317(f3(f907(x41721,a897)),f317(f317(f92(f907(x41721,a897)),x41722),x41723)),f317(f317(f92(f907(x41721,a897)),x41724),x41723)),f317(f317(f92(f907(x41721,a897)),f317(f317(f3(f907(x41721,a897)),x41722),x41724)),x41723))
% 199.17/199.22 [4173]E(f317(f317(f3(f907(x41731,a897)),f317(f317(f92(f907(x41731,a897)),x41732),x41733)),f317(f317(f92(f907(x41731,a897)),x41734),x41733)),f317(f317(f3(f907(x41731,a897)),f317(f317(f92(f907(x41731,a897)),x41732),x41733)),x41734))
% 199.17/199.22 [4184]E(f317(f317(f3(f907(x41841,a897)),f317(f317(f3(f907(x41841,a897)),x41842),f317(f317(f299(x41841),x41843),f179(f907(x41841,a897))))),x41844),f317(f317(f3(f907(x41841,a897)),x41842),f317(f317(f299(x41841),x41843),x41844)))
% 199.17/199.22 [4235]E(f317(f317(f91(f907(x42351,a897)),f317(f317(f299(x42351),x42352),f317(f317(f299(x42351),x42353),f179(f907(x42351,a897))))),f317(f271(x42351),x42354)),f317(f271(x42351),f317(f317(f299(f906(x42351,x42351)),f317(f317(f242(x42351,x42351),x42352),x42353)),x42354)))
% 199.17/199.22 [4256]E(f317(f317(f35(a901,f907(x42561,a897)),f317(f292(a901),x42562)),f317(f317(f10(a901,f907(x42561,a897),a901),x42563),f317(f317(f9(a901,a901,a901),f74(a901)),x42564))),f317(f317(f35(a901,f907(x42561,a897)),f294(a901,x42564,f317(f317(f74(a901),x42562),x42564))),x42563))
% 199.17/199.22 [4257]E(f164(x42571,f317(f274(x42571,x42571,x42572),f317(f317(f299(x42571),x42573),f179(f907(x42571,a897)))),f317(f274(f902(x42571),f902(x42571),f148(x42571,x42572)),f317(f317(f299(f902(x42571)),x42574),f179(f907(f902(x42571),a897))))),f317(f274(f902(x42571),f902(x42571),f148(x42571,x42572)),f317(f317(f299(f902(x42571)),f317(f317(f141(x42571),x42573),x42574)),f179(f907(f902(x42571),a897)))))
% 199.17/199.22 [4330]E(f317(f252(x43301),f317(f317(f9(x43301,f907(x43302,a897),a897),f317(f317(f10(x43302,f907(f907(x43302,a897),a897),x43301),f319(x43302)),x43303)),x43304)),f317(f301(x43301,x43302,x43303),x43304))
% 199.17/199.22 [4414]E(f317(f252(x44141),f317(f317(f9(x44141,f907(f906(x44142,x44141),a897),a897),f317(f317(f10(f906(x44142,x44141),f907(f907(f906(x44142,x44141),a897),a897),x44141),f319(f906(x44142,x44141))),f317(f242(x44142,x44141),x44143))),x44144)),f317(f274(x44142,x44141,x44144),f317(f317(f299(x44142),x44143),f179(f907(x44142,a897)))))
% 199.17/199.22 [4430]E(f317(f317(f144(f906(x44301,a901),x44301),f241(x44301,a901)),f317(f126(f906(x44301,a901),f317(f317(f10(a901,a897,f906(x44301,a901)),x44302),f317(f317(f10(a901,a901,f906(x44301,a901)),a102),f246(x44301,a901)))),f317(f317(f171(x44301,a901),x44303),x44304))),f317(f317(f144(f906(x44301,a901),x44301),f241(x44301,a901)),f317(f126(f906(x44301,a901),f317(f317(f10(a901,a897,f906(x44301,a901)),x44302),f246(x44301,a901))),f317(f317(f171(x44301,a901),x44303),f317(f317(f144(a901,a901),a102),x44304)))))
% 199.17/199.22 [4439]P1(f317(f317(f224(f907(f907(x44391,a897),a897)),f317(f317(f35(x44392,f907(f907(x44391,a897),a897)),x44393),f317(f317(f10(f907(x44391,a897),f907(f907(x44391,a897),a897),x44392),f298(x44391)),x44394))),f317(f298(x44391),f317(f317(f35(x44392,f907(x44391,a897)),x44393),x44394))))
% 199.17/199.22 [4484]E(f317(f317(f82(a1,x44841),f317(f94(a1),f317(f317(f74(a1),x44842),a87))),f317(f317(f20(a1,x44841,x44841),f317(f317(f9(a1,x44841,f907(x44841,x44841)),f317(f317(f10(a897,f907(x44841,f907(x44841,x44841)),a1),f86(x44841)),a184)),x44843)),f317(f317(f20(a1,x44841,x44841),f317(f317(f10(a901,f907(x44841,x44841),a1),x44844),a95)),f317(f317(f10(a901,x44841,a1),f174(x44841,x44843,x44844)),a95)))),f317(f174(x44841,x44843,x44844),f317(f94(a901),x44842)))
% 199.17/199.22 [4514]E(f317(f252(f906(x45141,x45142)),f317(f247(x45141,x45142,a897),f317(f317(f9(x45141,f907(x45142,a897),f907(x45142,a897)),f317(f317(f10(f907(a897,a897),f907(f907(x45142,a897),f907(x45142,a897)),x45141),f10(a897,a897,x45142)),f317(f317(f10(a897,f907(a897,a897),x45141),a315),f317(f317(f9(x45141,f907(x45141,a897),a897),f319(x45141)),x45143)))),f317(f317(f9(x45142,f907(x45142,a897),a897),f319(x45142)),x45144)))),f220(x45141,x45142,x45143,x45144))
% 199.17/199.22 [4555]E(f317(f317(f35(x45551,f907(f906(x45551,x45552),a897)),x45553),f317(f317(f20(x45551,f907(x45552,f907(f906(x45551,x45552),a897)),f907(f906(x45551,x45552),a897)),f317(f317(f10(f907(x45552,a897),f907(f907(x45552,f907(f906(x45551,x45552),a897)),f907(f906(x45551,x45552),a897)),x45551),f35(x45552,f907(f906(x45551,x45552),a897))),x45554)),f317(f317(f9(x45551,f907(f906(x45551,x45552),a897),f907(x45552,f907(f906(x45551,x45552),a897))),f317(f317(f10(f907(x45552,f907(f907(f906(x45551,x45552),a897),f907(f906(x45551,x45552),a897))),f907(f907(f906(x45551,x45552),a897),f907(x45552,f907(f906(x45551,x45552),a897))),x45551),f9(x45552,f907(f906(x45551,x45552),a897),f907(f906(x45551,x45552),a897))),f317(f317(f10(f907(x45552,f906(x45551,x45552)),f907(x45552,f907(f907(f906(x45551,x45552),a897),f907(f906(x45551,x45552),a897))),x45551),f317(f10(f906(x45551,x45552),f907(f907(f906(x45551,x45552),a897),f907(f906(x45551,x45552),a897)),x45552),f299(f906(x45551,x45552)))),f242(x45551,x45552)))),f179(f907(f906(x45551,x45552),a897))))),f317(f317(f244(x45551,x45552),x45553),x45554))
% 199.17/199.22 [4111]E(f317(f317(f124(x41111),f317(f317(f165(x41111),x41112),x41113)),f317(f317(f165(x41111),f317(f317(f3(a901),x41112),f317(f180(f902(x41111)),x41113))),x41114)),f317(f317(f165(x41111),x41112),f317(f317(f124(x41111),x41113),x41114)))
% 199.17/199.22 [4112]E(f317(f317(f124(x41121),f317(f317(f128(x41121),x41122),x41123)),f317(f317(f128(x41121),f317(f317(f3(a901),x41122),f317(f180(f902(x41121)),x41123))),x41124)),f317(f317(f128(x41121),x41122),f317(f317(f124(x41121),x41123),x41124)))
% 199.17/199.22 [4160]E(f317(f317(f74(a901),f317(f317(f75(a901),x41601),x41602)),f317(f317(f74(a901),f317(f317(f75(a901),x41603),x41602)),x41604)),f317(f317(f74(a901),f317(f317(f75(a901),f317(f317(f74(a901),x41601),x41603)),x41602)),x41604))
% 199.17/199.22 [4301]E(f84(x43011,f317(f317(f9(x43011,x43012,a897),f317(f317(f10(x43012,f907(x43012,a897),x43011),a314),x43013)),x43014)),f317(f85(x43011,x43012,f232(f907(x43011,a897)),x43013),x43014))
% 199.17/199.22 [4350]P1(f317(f317(f224(f907(x43501,a897)),f317(f317(f3(f907(x43501,a897)),f317(f273(x43502,x43501),x43503)),f317(f273(x43502,x43501),x43504))),f317(f273(x43502,x43501),f317(f317(f3(f907(f906(x43502,x43501),a897)),x43503),x43504))))
% 199.17/199.22 [4351]P1(f317(f317(f224(f907(x43511,a897)),f317(f317(f3(f907(x43511,a897)),f317(f254(x43511,x43512),x43513)),f317(f254(x43511,x43512),x43514))),f317(f254(x43511,x43512),f317(f317(f3(f907(f906(x43511,x43512),a897)),x43513),x43514))))
% 199.17/199.22 [4465]E(f317(f317(f74(a1),f317(a83,f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),f317(f317(f242(a901,a901),x44651),x44652)),f179(f907(f906(a901,a901),a897)))))),f317(a83,f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),f317(f317(f242(a901,a901),x44653),x44654)),f179(f907(f906(a901,a901),a897)))))),f317(a83,f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),f317(f317(f242(a901,a901),f317(f317(f74(a901),x44651),x44653)),f317(f317(f74(a901),x44652),x44654))),f179(f907(f906(a901,a901),a897))))))
% 199.17/199.22 [4509]E(f317(f317(f75(a1),f317(a83,f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),f317(f317(f242(a901,a901),x45091),x45092)),f179(f907(f906(a901,a901),a897)))))),f317(a83,f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),f317(f317(f242(a901,a901),x45093),x45094)),f179(f907(f906(a901,a901),a897)))))),f317(a83,f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),f317(f317(f242(a901,a901),f317(f317(f74(a901),f317(f317(f75(a901),x45091),x45093)),f317(f317(f75(a901),x45092),x45094))),f317(f317(f74(a901),f317(f317(f75(a901),x45091),x45094)),f317(f317(f75(a901),x45092),x45093)))),f179(f907(f906(a901,a901),a897))))))
% 199.17/199.22 [4536]E(f317(f252(x45361),f317(f317(f10(f907(x45362,a897),a897,x45361),f81(x45362)),f317(f317(f10(f907(x45362,a897),f907(x45362,a897),x45361),f317(f20(x45362,a897,a897),f317(f317(f10(a897,f907(a897,a897),x45362),a320),f317(f317(f9(x45362,f907(x45362,a897),a897),f319(x45362)),x45363)))),f317(f317(f9(x45361,f907(x45362,f907(x45361,a897)),f907(x45362,a897)),f317(f317(f10(f907(f907(x45361,a897),a897),f907(f907(x45362,f907(x45361,a897)),f907(x45362,a897)),x45361),f10(f907(x45361,a897),a897,x45362)),f319(x45361))),x45364)))),f317(f317(f34(x45362,f907(x45361,a897)),x45363),x45364))
% 199.17/199.22 [4567]E(f317(f317(f278(x45671,x45671,x45671),f317(f317(f299(f906(x45671,x45671)),f317(f317(f242(x45671,x45671),x45672),x45673)),x45674)),f297(x45671,f317(f317(f299(f906(x45671,x45671)),f317(f317(f242(x45671,x45671),x45672),x45673)),x45674))),f317(f317(f91(f907(f906(x45671,x45671),a897)),f317(f317(f278(x45671,x45671,x45671),x45674),f297(x45671,x45674))),f317(f252(f906(x45671,x45671)),f317(f247(x45671,x45671,a897),f317(f317(f9(x45671,f907(x45671,a897),f907(x45671,a897)),f317(f317(f10(f907(a897,a897),f907(f907(x45671,a897),f907(x45671,a897)),x45671),f10(a897,a897,x45671)),f317(f317(f10(a897,f907(a897,a897),x45671),a315),f317(f317(f9(x45671,f907(f906(x45671,x45671),a897),a897),f317(f317(f10(f906(x45671,x45671),f907(f907(f906(x45671,x45671),a897),a897),x45671),f319(f906(x45671,x45671))),f317(f317(f9(x45671,x45671,f906(x45671,x45671)),f242(x45671,x45671)),x45672))),f297(x45671,x45674))))),f317(f317(f9(x45671,f907(f906(x45671,x45671),a897),a897),f317(f317(f10(f906(x45671,x45671),f907(f907(f906(x45671,x45671),a897),a897),x45671),f319(f906(x45671,x45671))),f317(f242(x45671,x45671),x45673))),f297(x45671,x45674)))))))
% 199.17/199.22 [4352]E(f317(f126(x43521,f317(f317(f20(x43521,a897,a897),f317(f317(f10(a897,f907(a897,a897),x43521),a315),x43522)),x43523)),x43524),f317(f126(x43521,x43523),f317(f126(x43521,x43522),x43524)))
% 199.17/199.22 [4459]E(f317(f317(f124(x44591),f317(f317(f317(f86(f902(x44591)),f317(f317(f319(a901),f2(a901)),x44592)),f317(f317(f141(x44591),x44593),f103(x44591))),f103(x44591))),f166(x44591,x44594,f317(f252(a901),f317(f317(f9(a901,f907(a901,a897),a897),f317(f317(f10(a901,f907(f907(a901,a897),a897),a901),f319(a901)),a102)),x44592)))),f166(x44591,f317(f317(f141(x44591),x44593),x44594),x44592))
% 199.17/199.22 [4563]E(f317(f252(f906(x45631,x45632)),f317(f317(f10(f907(a901,a897),a897,f906(x45631,x45632)),f80(a901)),f317(f317(f9(f906(x45631,x45632),f907(a901,a897),f907(a901,a897)),f317(f317(f10(f907(a901,f907(a897,a897)),f907(f907(a901,a897),f907(a901,a897)),f906(x45631,x45632)),f20(a901,a897,a897)),f317(f317(f10(f907(a901,a897),f907(a901,f907(a897,a897)),f906(x45631,x45632)),f317(f10(a897,f907(a897,a897),a901),a315)),f317(f317(f9(f906(x45631,x45632),f907(a901,f906(x45631,x45632)),f907(a901,a897)),f317(f317(f10(f907(f906(x45631,x45632),a897),f907(f907(a901,f906(x45631,x45632)),f907(a901,a897)),f906(x45631,x45632)),f10(f906(x45631,x45632),a897,a901)),a314)),f317(f317(f20(a901,x45632,f906(x45631,x45632)),f317(f317(f10(x45631,f907(x45632,f906(x45631,x45632)),a901),f242(x45631,x45632)),f317(f154(x45631),x45633))),f317(f154(x45632),x45634)))))),f317(f317(f9(a901,a901,a897),f225(a901)),f317(f317(f228(a901),f317(f180(f902(x45631)),x45633)),f317(f180(f902(x45632)),x45634)))))),f317(f162(f906(x45631,x45632)),f317(f317(f171(x45631,x45632),x45633),x45634)))
% 199.17/199.22 [4478]E(f317(f252(f906(x44781,x44782)),f317(f247(x44781,x44782,a897),f317(f317(f9(x44781,f907(x44782,a897),f907(x44782,a897)),f317(f317(f10(f907(a897,a897),f907(f907(x44782,a897),f907(x44782,a897)),x44781),f10(a897,a897,x44782)),f317(f317(f10(a897,f907(a897,a897),x44781),a315),x44783))),x44784))),f317(f317(f244(x44781,x44782),f317(f252(x44781),x44783)),f317(f18(f907(x44782,a897),x44781),f317(f252(x44782),x44784))))
% 199.17/199.22 [4481]E(f317(f252(f906(x44811,x44812)),f317(f247(x44811,x44812,a897),f317(f317(f20(x44811,f907(x44812,a897),f907(x44812,a897)),f317(f317(f10(f907(a897,a897),f907(f907(x44812,a897),f907(x44812,a897)),x44811),f10(a897,a897,x44812)),f317(f317(f10(a897,f907(a897,a897),x44811),a315),x44813))),x44814))),f317(f317(f244(x44811,x44812),f317(f252(x44811),x44813)),f317(f317(f10(f907(x44812,a897),f907(x44812,a897),x44811),f252(x44812)),x44814)))
% 199.17/199.22 [4491]E(f317(f252(x44911),f317(f317(f10(f907(x44912,a897),a897,x44911),f81(x44912)),f317(f317(f10(f907(x44912,a897),f907(x44912,a897),x44911),f317(f20(x44912,a897,a897),f317(f317(f10(a897,f907(a897,a897),x44912),a320),f317(f317(f9(x44912,f907(x44912,a897),a897),f319(x44912)),x44913)))),x44914))),f317(f317(f34(x44912,f907(x44911,a897)),x44913),f317(f317(f10(f907(x44911,a897),f907(x44911,a897),x44912),f252(x44911)),f317(f9(x44911,x44912,a897),x44914))))
% 199.17/199.22 [4547]E(f317(f317(f144(f906(x45471,a901),x45471),f241(x45471,a901)),f317(f126(f906(x45471,a901),f317(f317(f9(f906(x45471,a901),f907(a901,a897),a897),f317(f317(f10(a901,f907(f907(a901,a897),a897),f906(x45471,a901)),f319(a901)),f246(x45471,a901))),x45472)),f317(f317(f171(x45471,a901),x45473),f129(a901,f317(f293(a901,x45474),f317(f317(f74(a901),x45474),f317(f180(f902(x45471)),x45473))))))),f317(f317(f144(f906(x45471,a901),x45471),f241(x45471,a901)),f317(f126(f906(x45471,a901),f317(f317(f9(f906(x45471,a901),f907(a901,a897),a897),f317(f317(f10(a901,f907(f907(a901,a897),a897),f906(x45471,a901)),f319(a901)),f317(f317(f9(f906(x45471,a901),a901,a901),f317(f317(f10(a901,f907(a901,a901),f906(x45471,a901)),f74(a901)),f246(x45471,a901))),x45474))),x45472)),f317(f317(f171(x45471,a901),x45473),f129(a901,f317(f293(a901,f2(a901)),f317(f180(f902(x45471)),x45473)))))))
% 199.17/199.22 [4548]E(f317(a102,f317(f317(f178(a901),f317(f180(f902(x45481)),x45482)),f317(f132(a901,f902(x45483),f317(f9(f902(x45483),a901,a901),f317(f317(f10(a901,f907(a901,a901),f902(x45483)),f178(a901)),f317(f317(f9(f902(x45483),a901,a901),f317(f317(f10(a901,f907(a901,a901),f902(x45483)),f3(a901)),f180(f902(x45483)))),f317(a102,f2(a901))))),f2(a901)),f317(f158(f902(x45483)),f317(f126(f902(x45483),f317(f317(f10(a897,a897,f902(x45483)),a312),f317(f317(f9(f902(x45483),f902(x45483),a897),a314),f103(x45483)))),x45484))))),f317(f317(f178(a901),f317(a102,f317(f180(f902(x45481)),x45482))),f317(f132(a901,f902(x45483),f317(f9(f902(x45483),a901,a901),f317(f317(f10(a901,f907(a901,a901),f902(x45483)),f178(a901)),f180(f902(x45483)))),f2(a901)),f317(f158(f902(x45483)),x45484))))
% 199.17/199.22 [4490]E(f317(f317(f124(x44901),f166(x44901,x44902,x44903)),f166(x44901,x44904,f317(f252(a901),f317(f317(f9(a901,f907(a901,a897),a897),f317(f317(f10(a901,f907(f907(a901,a897),a897),a901),f319(a901)),f317(f317(f9(a901,a901,a901),f74(a901)),f317(f180(f902(x44901)),x44902)))),x44903)))),f166(x44901,f317(f317(f124(x44901),x44902),x44904),x44903))
% 199.17/199.22 [4549]E(f32(f907(x45491,a897),f317(f252(f907(x45491,a897)),f317(f317(f10(f907(x45492,a897),a897,f907(x45491,a897)),f80(x45492)),f317(f317(f10(f907(x45492,a897),f907(x45492,a897),f907(x45491,a897)),f317(f20(x45492,a897,a897),f317(f317(f10(a897,f907(a897,a897),x45492),a315),f317(f317(f9(x45492,f907(x45492,a897),a897),f319(x45492)),x45493)))),f317(f317(f9(f907(x45491,a897),f907(x45492,f907(x45491,a897)),f907(x45492,a897)),f317(f317(f10(f907(f907(x45491,a897),a897),f907(f907(x45492,f907(x45491,a897)),f907(x45492,a897)),f907(x45491,a897)),f10(f907(x45491,a897),a897,x45492)),a314)),x45494))))),f317(f317(f34(x45492,f907(x45491,a897)),x45493),x45494))
% 199.17/199.22 [4550]E(f31(f907(x45501,a897),f317(f252(f907(x45501,a897)),f317(f317(f10(f907(x45502,a897),a897,f907(x45501,a897)),f80(x45502)),f317(f317(f10(f907(x45502,a897),f907(x45502,a897),f907(x45501,a897)),f317(f20(x45502,a897,a897),f317(f317(f10(a897,f907(a897,a897),x45502),a315),f317(f317(f9(x45502,f907(x45502,a897),a897),f319(x45502)),x45503)))),f317(f317(f9(f907(x45501,a897),f907(x45502,f907(x45501,a897)),f907(x45502,a897)),f317(f317(f10(f907(f907(x45501,a897),a897),f907(f907(x45502,f907(x45501,a897)),f907(x45502,a897)),f907(x45501,a897)),f10(f907(x45501,a897),a897,x45502)),a314)),x45504))))),f317(f317(f35(x45502,f907(x45501,a897)),x45503),x45504))
% 199.17/199.22 [4557]E(f317(f317(f141(f902(x45571)),f317(f317(f141(x45571),x45572),f317(f132(f902(x45571),f902(x45571),f124(x45571),f103(x45571)),f317(f317(f144(f902(x45571),f902(x45571)),f146(f902(x45571),x45571,f103(x45571),f317(f317(f10(f902(x45571),f907(f902(x45571),f902(x45571)),x45571),f18(f902(x45571),f902(x45571))),f317(f317(f9(x45571,f902(x45571),f902(x45571)),f141(x45571)),f103(x45571))))),x45573)))),f169(x45571,f317(f317(f141(f902(x45571)),x45574),f317(f132(f902(f902(x45571)),f902(f902(x45571)),f124(f902(x45571)),f103(f902(x45571))),f317(f317(f144(f902(x45571),f902(f902(x45571))),f146(f902(f902(x45571)),x45571,f103(f902(x45571)),f317(f18(f907(f902(x45571),f902(f902(x45571))),x45571),f317(f317(f9(f902(x45571),f902(f902(x45571)),f902(f902(x45571))),f141(f902(x45571))),f103(f902(x45571)))))),x45573))))),f169(x45571,f317(f317(f141(f902(x45571)),f317(f317(f141(x45571),x45572),x45574)),x45573)))
% 199.17/199.22 [4564]E(f317(f252(f906(x45641,x45641)),f317(f247(x45641,x45641,a897),f317(f317(f9(x45641,f907(f906(x45642,x45642),a897),f907(x45641,a897)),f317(f317(f10(f907(x45641,f907(f907(f906(x45642,x45642),a897),a897)),f907(f907(f906(x45642,x45642),a897),f907(x45641,a897)),x45641),f9(x45641,f907(f906(x45642,x45642),a897),a897)),f317(f317(f10(f907(x45641,f906(x45642,x45642)),f907(x45641,f907(f907(f906(x45642,x45642),a897),a897)),x45641),f317(f10(f906(x45642,x45642),f907(f907(f906(x45642,x45642),a897),a897),x45641),f319(f906(x45642,x45642)))),f317(f317(f9(x45641,f907(x45641,x45642),f907(x45641,f906(x45642,x45642))),f317(f317(f10(f907(x45642,f906(x45642,x45642)),f907(f907(x45641,x45642),f907(x45641,f906(x45642,x45642))),x45641),f10(x45642,f906(x45642,x45642),x45641)),f317(f317(f10(x45642,f907(x45642,f906(x45642,x45642)),x45641),f242(x45642,x45642)),x45643))),x45643)))),x45644))),f317(f317(f277(x45642,x45641),x45644),x45643))
% 199.17/199.22 [3702]E(f317(f317(f144(x37021,x37022),x37023),f159(x37021,x37024,x37025)),f159(x37022,x37024,f317(x37023,x37025)))
% 199.17/199.22 [4025]E(f120(x40251,x40252,x40253,f116(x40251,x40254,x40255)),f116(x40252,f317(x40253,x40254),f120(x40251,x40252,x40253,x40255)))
% 199.17/199.22 [4248]E(f317(f69(x42481,x42482,x42483,x42484,x42485),x42484),x42485)
% 199.17/199.22 [4302]E(f243(x43021,x43022,x43023,f233(x43022,x43021,x43024),f233(x43023,x43022,x43025)),f233(x43023,x43021,f243(x43023,x43022,x43021,x43025,x43024)))
% 199.17/199.22 [3892]E(f317(f317(f247(x38921,x38922,x38923),x38924),x38925),f317(f317(x38924,f317(f241(x38921,x38922),x38925)),f317(f246(x38921,x38922),x38925)))
% 199.17/199.22 [3925]E(f317(f317(f317(f59(x39251,x39252,x39253),x39254),x39255),f179(f907(x39252,a897))),x39255)
% 199.17/199.22 [4192]E(f317(f67(f902(x41921),f902(x41922),f902(x41923),f317(f144(x41921,x41922),x41924)),f317(f144(x41923,x41921),x41925)),f317(f144(x41923,x41922),f317(f67(x41921,x41922,x41923,x41924),x41925)))
% 199.17/199.22 [4258]E(f79(x42581,f60(x42582,x42581,x42583,x42584,x42585)),f317(f317(f58(x42582,x42581,x42583),x42584),x42585))
% 199.17/199.22 [4294]E(f317(f317(f74(a901),f317(f317(f74(a901),f317(x42941,f317(f241(x42942,x42943),x42944))),f317(x42945,f317(f246(x42942,x42943),x42944)))),f317(a102,f2(a901))),f251(x42942,x42943,x42941,x42945,x42944))
% 199.17/199.22 [3831]E(f317(f317(f165(x38311),x38312),f317(f317(f144(x38313,x38311),x38314),x38315)),f317(f317(f144(x38313,x38311),x38314),f317(f317(f165(x38313),x38312),x38315)))
% 199.17/199.22 [3832]E(f317(f317(f128(x38321),x38322),f317(f317(f144(x38323,x38321),x38324),x38325)),f317(f317(f144(x38323,x38321),x38324),f317(f317(f128(x38323),x38322),x38325)))
% 199.17/199.22 [3856]E(f317(f317(f144(x38561,x38562),x38563),f317(f317(f141(x38561),x38564),x38565)),f317(f317(f141(x38562),f317(x38563,x38564)),f317(f317(f144(x38561,x38562),x38563),x38565)))
% 199.17/199.22 [3921]E(f317(f300(x39211,x39212,x39213),f317(f317(f299(x39211),x39214),x39215)),f317(f317(f299(x39212),f317(x39213,x39214)),f317(f300(x39211,x39212,x39213),x39215)))
% 199.17/199.22 [3949]E(f163(x39491,f317(f317(f141(x39491),x39492),x39493),f317(f317(f141(x39491),x39494),x39495)),f317(f317(f141(x39491),x39492),f317(f317(f141(x39491),x39494),f163(x39491,x39493,x39495))))
% 199.17/199.22 [3983]E(f317(f317(f171(x39831,x39832),f317(f317(f165(x39831),x39833),x39834)),f317(f317(f165(x39832),x39833),x39835)),f317(f317(f165(f906(x39831,x39832)),x39833),f317(f317(f171(x39831,x39832),x39834),x39835)))
% 199.17/199.22 [3984]E(f317(f317(f171(x39841,x39842),f317(f317(f128(x39841),x39843),x39844)),f317(f317(f128(x39842),x39843),x39845)),f317(f317(f128(f906(x39841,x39842)),x39843),f317(f317(f171(x39841,x39842),x39844),x39845)))
% 199.17/199.22 [3992]E(f317(f317(f149(x39921,f317(f317(f141(x39921),x39922),x39923)),f317(a102,x39924)),x39925),f317(f317(f141(x39921),x39922),f317(f317(f149(x39921,x39923),x39924),x39925)))
% 199.17/199.22 [3994]E(f317(f317(f124(x39941),f317(f317(f144(x39942,x39941),x39943),x39944)),f317(f317(f144(x39942,x39941),x39943),x39945)),f317(f317(f144(x39942,x39941),x39943),f317(f317(f124(x39942),x39944),x39945)))
% 199.17/199.22 [3998]E(f317(f317(x39981,x39982),f317(f317(f235(x39983,x39984,x39981),x39982),x39985)),f317(f317(f235(x39983,x39984,x39981),x39982),f317(a102,x39985)))
% 199.17/199.22 [4029]E(f153(x40291,x40292,x40293,f317(f317(f141(x40291),x40294),x40295)),f317(f317(f124(x40292),f317(x40293,x40294)),f153(x40291,x40292,x40293,x40295)))
% 199.17/199.22 [4041]E(f317(f317(f278(x40411,x40412,x40413),f317(f275(x40412,x40411),x40414)),f317(f275(x40413,x40412),x40415)),f317(f275(x40413,x40411),f317(f317(f278(x40413,x40412,x40411),x40415),x40414)))
% 199.17/199.22 [4074]E(f317(f317(f317(f173(f902(x40741),f902(x40741)),x40742),f157(x40741)),f317(f317(f144(x40743,x40741),x40744),x40745)),f317(f317(f144(x40743,x40741),x40744),f317(f317(f317(f173(f902(x40743),f902(x40743)),x40742),f157(x40743)),x40745)))
% 199.17/199.22 [4075]E(f317(f317(f249(x40751,x40752,x40751,x40753),f317(f242(x40752,x40751),x40754)),x40755),f317(x40755,x40754))
% 199.17/199.22 [4098]E(f145(x40981,x40982,f317(f317(f144(x40983,x40981),x40984),x40985)),f145(x40983,f317(f67(x40981,a901,x40983,x40982),x40984),x40985))
% 199.17/199.22 [4159]E(f167(f906(x41591,x41592),f317(f67(x41592,a897,f906(x41591,x41592),x41593),f246(x41591,x41592)),f317(f317(f171(x41591,x41592),x41594),x41595)),f317(f317(f171(x41591,x41592),x41594),f167(x41592,x41593,x41595)))
% 199.17/199.22 [4164]E(f317(f300(x41641,x41642,f317(f317(f10(x41643,x41642,x41641),x41644),x41645)),f232(f907(x41641,a897))),f317(f300(x41643,x41642,x41644),f317(f300(x41641,x41643,x41645),f232(f907(x41641,a897)))))
% 199.17/199.22 [4175]E(f167(f906(x41751,x41752),f317(f67(x41751,a897,f906(x41751,x41752),x41753),f241(x41751,x41752)),f317(f317(f171(x41751,x41752),x41754),x41755)),f317(f317(f171(x41751,x41752),f167(x41751,x41753,x41754)),x41755))
% 199.17/199.22 [4197]E(f317(f317(f91(f907(x41971,a897)),f317(f301(x41971,x41972,x41973),f317(f317(f299(x41972),x41974),f179(f907(x41972,a897))))),f317(f301(x41971,x41972,x41973),x41975)),f317(f301(x41971,x41972,x41973),f317(f317(f299(x41972),x41974),x41975)))
% 199.17/199.22 [4247]E(f317(f317(f124(f906(x42471,x42472)),f317(f317(f144(x42472,f906(x42471,x42472)),f317(f242(x42471,x42472),x42473)),x42474)),f54(x42471,x42472,x42475,x42474)),f54(x42471,x42472,f317(f317(f141(x42471),x42473),x42475),x42474))
% 199.17/199.22 [4249]E(f317(f317(f144(x42491,x42492),x42493),f167(x42491,f317(f67(x42492,a897,x42491,x42494),x42493),x42495)),f167(x42492,x42494,f317(f317(f144(x42491,x42492),x42493),x42495)))
% 199.17/199.22 [4254]E(f317(f132(x42541,x42542,f317(f9(x42542,x42541,x42541),f317(f9(x42541,x42542,x42541),x42543)),x42544),f317(f158(x42542),f317(f158(x42542),x42545))),f317(f132(x42541,x42542,x42543,x42544),x42545))
% 199.17/199.22 [4360]P1(f317(f317(f224(f907(x43601,a897)),f317(f300(x43602,x43601,x43603),f317(f317(f92(f907(x43602,a897)),x43604),x43605))),f317(f317(f92(f907(x43601,a897)),f317(f300(x43602,x43601,x43603),x43604)),f317(f300(x43602,x43601,x43603),x43605))))
% 199.17/199.22 [4361]P1(f317(f317(f224(f907(x43611,a897)),f317(f274(x43612,x43611,x43613),f317(f317(f92(f907(x43612,a897)),x43614),x43615))),f317(f317(f92(f907(x43611,a897)),f317(f274(x43612,x43611,x43613),x43614)),f317(f274(x43612,x43611,x43613),x43615))))
% 199.17/199.22 [4466]E(f317(f246(x44661,x44662),f317(f248(x44663,x44661,x44662,x44662,x44664,f25(x44662)),x44665)),f317(f246(x44663,x44662),x44665))
% 199.17/199.22 [4467]E(f317(f241(x44671,x44672),f317(f248(x44671,x44671,x44673,x44672,f25(x44671),x44674),x44675)),f317(f241(x44671,x44673),x44675))
% 199.17/199.22 [3673]E(f317(f317(f317(f317(f195(x36731),x36732),x36733),x36734),x36735),f183(x36731,x36732))
% 199.17/199.22 [3674]E(f317(f317(f317(f317(f199(x36741),x36742),x36743),x36744),x36745),f190(x36741,x36742))
% 199.17/199.22 [4030]E(f317(f317(f34(x40301,f907(x40302,a897)),f317(f317(f299(x40301),x40303),x40304)),x40305),f317(f317(f92(f907(x40302,a897)),f317(x40305,x40303)),f317(f317(f34(x40301,f907(x40302,a897)),x40304),x40305)))
% 199.17/199.22 [4031]E(f317(f317(f35(x40311,f907(x40312,a897)),f317(f317(f299(x40311),x40313),x40314)),x40315),f317(f317(f91(f907(x40312,a897)),f317(x40315,x40313)),f317(f317(f35(x40311,f907(x40312,a897)),x40314),x40315)))
% 199.17/199.22 [4083]E(f317(f108(x40831,x40832,f317(x40833,x40834)),f317(f317(f9(x40831,a89,f903(x40832)),x40835),x40834)),f317(f188(x40831,x40832,x40833,x40835),x40834))
% 199.17/199.22 [4092]E(f317(f317(f91(f907(x40921,a897)),f317(f300(x40922,x40921,x40923),x40924)),f317(f300(x40922,x40921,x40923),x40925)),f317(f300(x40922,x40921,x40923),f317(f317(f91(f907(x40922,a897)),x40924),x40925)))
% 199.17/199.22 [4093]E(f317(f317(f91(f907(x40931,a897)),f317(f274(x40932,x40931,x40933),x40934)),f317(f274(x40932,x40931,x40933),x40935)),f317(f274(x40932,x40931,x40933),f317(f317(f91(f907(x40932,a897)),x40934),x40935)))
% 199.17/199.22 [4094]E(f317(f317(f91(f907(x40941,a897)),f317(f301(x40941,x40942,x40943),x40944)),f317(f301(x40941,x40942,x40943),x40945)),f317(f301(x40941,x40942,x40943),f317(f317(f91(f907(x40942,a897)),x40944),x40945)))
% 199.17/199.22 [4095]E(f317(f317(f3(f907(x40951,a897)),f317(f301(x40951,x40952,x40953),x40954)),f317(f301(x40951,x40952,x40953),x40955)),f317(f301(x40951,x40952,x40953),f317(f317(f3(f907(x40952,a897)),x40954),x40955)))
% 199.17/199.22 [4096]E(f317(f317(f92(f907(x40961,a897)),f317(f301(x40961,x40962,x40963),x40964)),f317(f301(x40961,x40962,x40963),x40965)),f317(f301(x40961,x40962,x40963),f317(f317(f92(f907(x40962,a897)),x40964),x40965)))
% 199.17/199.22 [4155]E(f317(f317(f149(x41551,f317(f317(f124(x41551),x41552),f317(f317(f141(x41551),x41553),x41554))),f317(f180(f902(x41551)),x41552)),x41555),f317(f317(f124(x41551),x41552),f317(f317(f141(x41551),x41555),x41554)))
% 199.17/199.22 [4162]E(f317(f317(f34(x41621,f907(x41622,a897)),x41623),f317(f317(f10(f907(x41622,a897),f907(x41622,a897),x41621),f317(f299(x41622),x41624)),x41625)),f317(f317(f299(x41622),x41624),f317(f317(f34(x41621,f907(x41622,a897)),x41623),x41625)))
% 199.17/199.22 [4312]E(f317(f317(f144(x43121,x43122),x43123),f317(f126(x43121,f317(f67(x43122,a897,x43121,x43124),x43123)),x43125)),f317(f126(x43122,x43124),f317(f317(f144(x43121,x43122),x43123),x43125)))
% 199.17/199.22 [4319]E(f317(f180(f902(x43191)),f317(f126(x43191,x43192),f317(f317(f144(x43193,x43191),x43194),x43195))),f317(f180(f902(x43193)),f317(f126(x43193,f317(f67(x43191,a897,x43193,x43192),x43194)),x43195)))
% 199.17/199.22 [4543]E(f317(f146(f902(f906(x45431,x45432)),x45432,f103(f906(x45431,x45432)),f317(f317(f9(x45432,f907(f902(x45432),f902(f906(x45431,x45432))),f907(f902(x45432),f902(f906(x45431,x45432)))),f317(f317(f10(f907(f902(f906(x45431,x45432)),f902(f906(x45431,x45432))),f907(f907(f902(x45432),f902(f906(x45431,x45432))),f907(f902(x45432),f902(f906(x45431,x45432)))),x45432),f10(f902(f906(x45431,x45432)),f902(f906(x45431,x45432)),f902(x45432))),f317(f317(f10(f906(x45431,x45432),f907(f902(f906(x45431,x45432)),f902(f906(x45431,x45432))),x45432),f141(f906(x45431,x45432))),f317(f242(x45431,x45432),x45433)))),f317(f171(x45431,x45432),x45434))),x45435),f317(f317(f171(x45431,x45432),f317(f317(f141(x45431),x45433),x45434)),x45435))
% 199.17/199.22 [4022]E(f317(f317(f149(x40221,f317(f317(f149(x40221,x40222),x40223),x40224)),x40223),x40225),f317(f317(f149(x40221,x40222),x40223),x40225))
% 199.17/199.22 [4076]E(f317(f273(x40761,x40762),f317(f317(f299(f906(x40761,x40762)),f317(f317(f242(x40761,x40762),x40763),x40764)),x40765)),f317(f317(f299(x40762),x40764),f317(f273(x40761,x40762),x40765)))
% 199.17/199.22 [4077]E(f317(f254(x40771,x40772),f317(f317(f299(f906(x40771,x40772)),f317(f317(f242(x40771,x40772),x40773),x40774)),x40775)),f317(f317(f299(x40771),x40773),f317(f254(x40771,x40772),x40775)))
% 199.17/199.22 [4121]E(f112(x41211,x41212,f317(x41213,x41214),f317(f317(f9(x41211,a89,f903(f904(x41212))),x41215),x41214)),f317(f186(x41211,x41212,x41213,x41215),x41214))
% 199.17/199.22 [4148]E(f317(f317(f91(f907(f906(x41481,x41482),a897)),f317(f317(f244(x41481,x41482),x41483),x41484)),f317(f317(f244(x41481,x41482),x41485),x41484)),f317(f317(f244(x41481,x41482),f317(f317(f91(f907(x41481,a897)),x41483),x41485)),x41484))
% 199.17/199.22 [4149]E(f317(f317(f3(f907(f906(x41491,x41492),a897)),f317(f317(f244(x41491,x41492),x41493),x41494)),f317(f317(f244(x41491,x41492),x41495),x41494)),f317(f317(f244(x41491,x41492),f317(f317(f3(f907(x41491,a897)),x41493),x41495)),x41494))
% 199.17/199.22 [4150]E(f317(f317(f92(f907(f906(x41501,x41502),a897)),f317(f317(f244(x41501,x41502),x41503),x41504)),f317(f317(f244(x41501,x41502),x41505),x41504)),f317(f317(f244(x41501,x41502),f317(f317(f92(f907(x41501,a897)),x41503),x41505)),x41504))
% 199.17/199.22 [4207]E(f317(f317(f92(f907(x42071,a897)),f317(f317(f34(x42072,f907(x42071,a897)),x42073),x42074)),f317(f317(f34(x42072,f907(x42071,a897)),x42075),x42074)),f317(f317(f34(x42072,f907(x42071,a897)),f317(f317(f91(f907(x42072,a897)),x42073),x42075)),x42074))
% 199.17/199.22 [4208]E(f317(f317(f91(f907(x42081,a897)),f317(f317(f35(x42082,f907(x42081,a897)),x42083),x42084)),f317(f317(f35(x42082,f907(x42081,a897)),x42085),x42084)),f317(f317(f35(x42082,f907(x42081,a897)),f317(f317(f91(f907(x42082,a897)),x42083),x42085)),x42084))
% 199.17/199.22 [4222]E(f317(f317(f34(x42221,f907(x42222,a897)),x42223),f317(f317(f10(f907(x42222,a897),f907(x42222,a897),x42221),f317(f91(f907(x42222,a897)),x42224)),x42225)),f317(f317(f91(f907(x42222,a897)),x42224),f317(f317(f34(x42221,f907(x42222,a897)),x42223),x42225)))
% 199.17/199.22 [4223]E(f317(f317(f35(x42231,f907(x42232,a897)),x42233),f317(f317(f10(f907(x42232,a897),f907(x42232,a897),x42231),f317(f3(f907(x42232,a897)),x42234)),x42235)),f317(f317(f3(f907(x42232,a897)),x42234),f317(f317(f34(x42231,f907(x42232,a897)),x42233),x42235)))
% 199.17/199.22 [4224]E(f317(f317(f35(x42241,f907(x42242,a897)),x42243),f317(f317(f10(f907(x42242,a897),f907(x42242,a897),x42241),f317(f92(f907(x42242,a897)),x42244)),x42245)),f317(f317(f92(f907(x42242,a897)),x42244),f317(f317(f35(x42241,f907(x42242,a897)),x42243),x42245)))
% 199.17/199.22 [4272]E(f175(f902(x42721),f317(f317(f141(x42721),x42722),x42723),f317(f317(f10(f902(x42721),f902(x42721),a901),f317(f141(x42721),x42724)),f317(f317(f9(a901,x42721,f902(x42721)),f149(x42721,x42723)),x42722)),x42725),f317(f317(f149(x42721,f317(f317(f141(x42721),x42724),x42723)),x42725),x42722))
% 199.17/199.22 [4276]E(f317(f317(f34(x42761,f907(f906(x42762,x42763),a897)),x42764),f317(f317(f10(f907(f906(x42763,x42762),a897),f907(f906(x42762,x42763),a897),x42761),f275(x42763,x42762)),x42765)),f317(f275(x42763,x42762),f317(f317(f34(x42761,f907(f906(x42763,x42762),a897)),x42764),x42765)))
% 199.17/199.22 [4277]E(f317(f317(f35(x42771,f907(f906(x42772,x42773),a897)),x42774),f317(f317(f10(f907(f906(x42773,x42772),a897),f907(f906(x42772,x42773),a897),x42771),f275(x42773,x42772)),x42775)),f317(f275(x42773,x42772),f317(f317(f35(x42771,f907(f906(x42773,x42772),a897)),x42774),x42775)))
% 199.17/199.22 [4384]P1(f317(f317(f224(f907(x43841,a897)),f317(f317(f3(f907(x43841,a897)),f317(f300(x43842,x43841,x43843),x43844)),f317(f300(x43842,x43841,x43843),x43845))),f317(f300(x43842,x43841,x43843),f317(f317(f3(f907(x43842,a897)),x43844),x43845))))
% 199.17/199.22 [4546]E(f317(f146(f902(f906(x45461,x45462)),x45461,f103(f906(x45461,x45462)),f317(f317(f9(x45461,f907(f902(x45461),f902(f906(x45461,x45462))),f907(f902(x45461),f902(f906(x45461,x45462)))),f317(f317(f10(f907(f902(f906(x45461,x45462)),f902(f906(x45461,x45462))),f907(f907(f902(x45461),f902(f906(x45461,x45462))),f907(f902(x45461),f902(f906(x45461,x45462)))),x45461),f10(f902(f906(x45461,x45462)),f902(f906(x45461,x45462)),f902(x45461))),f317(f317(f10(f906(x45461,x45462),f907(f902(f906(x45461,x45462)),f902(f906(x45461,x45462))),x45461),f141(f906(x45461,x45462))),f317(f317(f9(x45461,x45462,f906(x45461,x45462)),f242(x45461,x45462)),x45463)))),f317(f317(f9(f902(x45461),f902(x45462),f902(f906(x45461,x45462))),f171(x45461,x45462)),x45464))),x45465),f317(f317(f171(x45461,x45462),x45465),f317(f317(f141(x45462),x45463),x45464)))
% 199.17/199.22 [4243]E(f317(f317(f91(f907(x42431,a897)),f317(f274(x42432,x42431,x42433),x42434)),f317(f274(x42432,x42431,x42435),x42434)),f317(f274(x42432,x42431,f317(f317(f91(f907(f906(x42432,x42431),a897)),x42433),x42435)),x42434))
% 199.17/199.22 [4278]E(f317(f317(f124(f906(x42781,x42782)),f317(f317(f171(x42781,x42782),x42783),f317(f317(f165(x42782),f317(f180(f902(x42781)),x42783)),x42784))),f317(f317(f171(x42781,x42782),x42785),f317(f317(f128(x42782),f317(f180(f902(x42781)),x42783)),x42784))),f317(f317(f171(x42781,x42782),f317(f317(f124(x42781),x42783),x42785)),x42784))
% 199.17/199.22 [4389]E(f317(f317(f244(x43891,x43892),x43893),f317(f317(f20(x43891,f907(x43892,a897),f907(x43892,a897)),f317(f317(f10(f907(x43892,a897),f907(f907(x43892,a897),f907(x43892,a897)),x43891),f91(f907(x43892,a897))),x43894)),x43895)),f317(f317(f91(f907(f906(x43891,x43892),a897)),f317(f317(f244(x43891,x43892),x43893),x43894)),f317(f317(f244(x43891,x43892),x43893),x43895)))
% 199.17/199.22 [4390]E(f317(f317(f244(x43901,x43902),x43903),f317(f317(f20(x43901,f907(x43902,a897),f907(x43902,a897)),f317(f317(f10(f907(x43902,a897),f907(f907(x43902,a897),f907(x43902,a897)),x43901),f3(f907(x43902,a897))),x43904)),x43905)),f317(f317(f3(f907(f906(x43901,x43902),a897)),f317(f317(f244(x43901,x43902),x43903),x43904)),f317(f317(f244(x43901,x43902),x43903),x43905)))
% 199.17/199.22 [4391]E(f317(f317(f244(x43911,x43912),x43913),f317(f317(f20(x43911,f907(x43912,a897),f907(x43912,a897)),f317(f317(f10(f907(x43912,a897),f907(f907(x43912,a897),f907(x43912,a897)),x43911),f92(f907(x43912,a897))),x43914)),x43915)),f317(f317(f92(f907(f906(x43911,x43912),a897)),f317(f317(f244(x43911,x43912),x43913),x43914)),f317(f317(f244(x43911,x43912),x43913),x43915)))
% 199.17/199.22 [4395]E(f317(f317(f34(x43951,f907(x43952,a897)),x43953),f317(f317(f9(x43951,f907(x43952,a897),f907(x43952,a897)),f317(f317(f10(f907(x43952,a897),f907(f907(x43952,a897),f907(x43952,a897)),x43951),f91(f907(x43952,a897))),x43954)),x43955)),f317(f317(f91(f907(x43952,a897)),f317(f317(f34(x43951,f907(x43952,a897)),x43953),x43954)),x43955))
% 199.17/199.22 [4396]E(f317(f317(f35(x43961,f907(x43962,a897)),x43963),f317(f317(f9(x43961,f907(x43962,a897),f907(x43962,a897)),f317(f317(f10(f907(x43962,a897),f907(f907(x43962,a897),f907(x43962,a897)),x43961),f3(f907(x43962,a897))),x43964)),x43965)),f317(f317(f3(f907(x43962,a897)),f317(f317(f35(x43961,f907(x43962,a897)),x43963),x43964)),x43965))
% 199.17/199.22 [4397]E(f317(f317(f35(x43971,f907(x43972,a897)),x43973),f317(f317(f9(x43971,f907(x43972,a897),f907(x43972,a897)),f317(f317(f10(f907(x43972,a897),f907(f907(x43972,a897),f907(x43972,a897)),x43971),f92(f907(x43972,a897))),x43974)),x43975)),f317(f317(f92(f907(x43972,a897)),f317(f317(f35(x43971,f907(x43972,a897)),x43973),x43974)),x43975))
% 199.17/199.22 [4401]E(f317(f317(f34(x44011,f907(x44012,a897)),x44013),f317(f317(f20(x44011,f907(x44012,a897),f907(x44012,a897)),f317(f317(f10(f907(x44012,a897),f907(f907(x44012,a897),f907(x44012,a897)),x44011),f92(f907(x44012,a897))),x44014)),x44015)),f317(f317(f92(f907(x44012,a897)),f317(f317(f34(x44011,f907(x44012,a897)),x44013),x44014)),f317(f317(f34(x44011,f907(x44012,a897)),x44013),x44015)))
% 199.17/199.22 [4402]E(f317(f317(f35(x44021,f907(x44022,a897)),x44023),f317(f317(f20(x44021,f907(x44022,a897),f907(x44022,a897)),f317(f317(f10(f907(x44022,a897),f907(f907(x44022,a897),f907(x44022,a897)),x44021),f91(f907(x44022,a897))),x44024)),x44025)),f317(f317(f91(f907(x44022,a897)),f317(f317(f35(x44021,f907(x44022,a897)),x44023),x44024)),f317(f317(f35(x44021,f907(x44022,a897)),x44023),x44025)))
% 199.17/199.22 [4411]E(f317(f317(f34(x44111,f907(x44112,a897)),x44113),f317(f317(f20(x44111,f907(x44112,a897),f907(x44112,a897)),f317(f317(f10(f907(x44112,a897),f907(f907(x44112,a897),f907(x44112,a897)),x44111),f92(f907(x44112,a897))),x44114)),x44115)),f317(f317(f92(f907(x44112,a897)),f32(f907(x44112,a897),f317(f300(x44111,f907(x44112,a897),x44114),x44113))),f32(f907(x44112,a897),f317(f300(x44111,f907(x44112,a897),x44115),x44113))))
% 199.17/199.22 [4412]E(f317(f317(f35(x44121,f907(x44122,a897)),x44123),f317(f317(f20(x44121,f907(x44122,a897),f907(x44122,a897)),f317(f317(f10(f907(x44122,a897),f907(f907(x44122,a897),f907(x44122,a897)),x44121),f91(f907(x44122,a897))),x44124)),x44125)),f317(f317(f91(f907(x44122,a897)),f31(f907(x44122,a897),f317(f300(x44121,f907(x44122,a897),x44124),x44123))),f31(f907(x44122,a897),f317(f300(x44121,f907(x44122,a897),x44125),x44123))))
% 199.17/199.22 [4450]E(f317(f317(f128(x44501),f317(f180(f902(x44501)),f167(x44501,x44502,f317(f317(f144(x44503,x44501),x44504),x44505)))),f317(f317(f144(x44503,x44501),x44504),x44505)),f317(f317(f144(x44503,x44501),x44504),f317(f317(f128(x44503),f317(f180(f902(x44503)),f167(x44503,f317(f67(x44501,a897,x44503,x44502),x44504),x44505))),x44505)))
% 199.17/199.22 [4329]E(f317(f317(f124(f906(x43291,x43292)),f317(f317(f171(x43291,x43292),f317(f317(f165(x43291),f317(f180(f902(x43292)),x43293)),x43294)),x43293)),f317(f317(f171(x43291,x43292),f317(f317(f128(x43291),f317(f180(f902(x43292)),x43293)),x43294)),x43295)),f317(f317(f171(x43291,x43292),x43294),f317(f317(f124(x43292),x43293),x43295)))
% 199.17/199.22 [4440]E(f79(x44401,f317(f317(f20(x44401,a897,a897),f317(f317(f10(a897,f907(a897,a897),x44401),a315),f317(f317(f9(x44401,f907(x44401,a897),a897),f319(x44401)),x44402))),f317(f317(f9(x44401,x44403,a897),f317(f317(f10(x44403,f907(x44403,a897),x44401),a314),x44404)),x44405))),f317(f71(x44401,x44403,x44402,x44404),x44405))
% 199.17/199.22 [4441]E(f84(x44411,f317(f317(f20(x44411,a897,a897),f317(f317(f10(a897,f907(a897,a897),x44411),a315),f317(f317(f9(x44411,f907(x44411,a897),a897),f319(x44411)),x44412))),f317(f317(f9(x44411,x44413,a897),f317(f317(f10(x44413,f907(x44413,a897),x44411),a314),x44414)),x44415))),f317(f85(x44411,x44413,x44412,x44414),x44415))
% 199.17/199.22 [4493]E(f317(f317(f82(a1,x44931),f317(f94(a1),f317(f317(f74(a1),x44932),a87))),f317(f317(f20(a1,x44931,x44931),f317(f317(f9(a1,x44931,f907(x44931,x44931)),f317(f317(f10(a897,f907(x44931,f907(x44931,x44931)),a1),f86(x44931)),a184)),f175(x44931,x44933,x44934,x44935))),f317(f317(f10(a901,x44931,a1),x44934),f317(f317(f9(a1,a901,a901),f317(f317(f10(a901,f907(a901,a901),a1),f74(a901)),a95)),x44935)))),f175(x44931,x44933,x44934,f317(f317(f74(a901),f317(f94(a901),x44932)),x44935)))
% 199.17/199.22 [4540]E(f317(f317(f82(a1,x45401),f317(f94(a1),f317(f317(f74(a1),x45402),a87))),f317(f317(f20(a1,x45401,x45401),f317(f317(f9(a1,x45401,f907(x45401,x45401)),f317(f317(f10(a897,f907(x45401,f907(x45401,x45401)),a1),f86(x45401)),a184)),f317(f174(x45401,x45403,x45404),x45405))),f317(f317(f20(a1,x45401,x45401),f317(f317(f10(a901,f907(x45401,x45401),a1),x45404),f317(f317(f9(a1,a901,a901),f317(f317(f10(a901,f907(a901,a901),a1),f74(a901)),a95)),x45405))),f317(f317(f10(a901,x45401,a1),f174(x45401,x45403,x45404)),f317(f317(f9(a1,a901,a901),f317(f317(f10(a901,f907(a901,a901),a1),f74(a901)),a95)),x45405))))),f317(f174(x45401,x45403,x45404),f317(f317(f74(a901),f317(f94(a901),x45402)),x45405)))
% 199.17/199.22 [4572]E(f317(f252(f906(x45721,x45722)),f317(f247(x45721,x45722,a897),f317(f317(f10(f907(x45722,f907(x45723,a897)),f907(x45722,a897),x45721),f317(f10(f907(x45723,a897),a897,x45722),f80(x45723))),f317(f317(f9(x45721,f907(x45722,f907(x45723,a897)),f907(x45722,f907(x45723,a897))),f317(f317(f10(f907(f907(x45723,a897),f907(x45723,a897)),f907(f907(x45722,f907(x45723,a897)),f907(x45722,f907(x45723,a897))),x45721),f10(f907(x45723,a897),f907(x45723,a897),x45722)),f317(f317(f10(f907(x45723,f907(a897,a897)),f907(f907(x45723,a897),f907(x45723,a897)),x45721),f20(x45723,a897,a897)),f317(f317(f10(f907(x45723,a897),f907(x45723,f907(a897,a897)),x45721),f317(f10(a897,f907(a897,a897),x45723),a315)),f317(f317(f9(x45721,f907(f906(x45721,x45723),a897),f907(x45723,a897)),f317(f317(f10(f907(x45723,f907(f907(f906(x45721,x45723),a897),a897)),f907(f907(f906(x45721,x45723),a897),f907(x45723,a897)),x45721),f9(x45723,f907(f906(x45721,x45723),a897),a897)),f317(f317(f10(f907(x45723,f906(x45721,x45723)),f907(x45723,f907(f907(f906(x45721,x45723),a897),a897)),x45721),f317(f10(f906(x45721,x45723),f907(f907(f906(x45721,x45723),a897),a897),x45723),f319(f906(x45721,x45723)))),f242(x45721,x45723)))),x45724))))),f317(f317(f9(x45722,f907(f906(x45723,x45722),a897),f907(x45723,a897)),f317(f317(f10(f907(x45723,f907(f907(f906(x45723,x45722),a897),a897)),f907(f907(f906(x45723,x45722),a897),f907(x45723,a897)),x45722),f9(x45723,f907(f906(x45723,x45722),a897),a897)),f317(f317(f10(f907(x45723,f906(x45723,x45722)),f907(x45723,f907(f907(f906(x45723,x45722),a897),a897)),x45722),f317(f10(f906(x45723,x45722),f907(f907(f906(x45723,x45722),a897),a897),x45723),f319(f906(x45723,x45722)))),f317(f9(x45723,x45722,f906(x45723,x45722)),f242(x45723,x45722))))),x45725))))),f317(f317(f278(x45721,x45723,x45722),x45724),x45725))
% 199.17/199.22 [4176]E(f215(x41761,x41762,x41763,x41764,f211(x41761,x41762,x41765,x41766)),f317(f317(x41764,x41765),x41766))
% 199.17/199.22 [4177]E(f216(x41771,x41772,x41773,x41774,f211(x41771,x41772,x41775,x41776)),f317(f317(x41774,x41775),x41776))
% 199.17/199.22 [4297]E(f117(x42971,x42972,x42973,x42974,f116(x42972,x42975,x42976)),f317(f317(f317(x42974,x42975),x42976),f117(x42971,x42972,x42973,x42974,x42976)))
% 199.17/199.22 [4321]E(f69(x43211,x43212,f69(x43211,x43212,x43213,x43214,x43215),x43214,x43216),f69(x43211,x43212,x43213,x43214,x43216))
% 199.17/199.22 [4428]E(f317(f67(f906(x44281,x44282),x44282,f906(x44283,x44284),f246(x44281,x44282)),f248(x44283,x44281,x44284,x44282,x44285,x44286)),f317(f67(x44284,x44282,f906(x44283,x44284),x44286),f246(x44283,x44284)))
% 199.17/199.22 [4429]E(f317(f67(f906(x44291,x44292),x44291,f906(x44293,x44294),f241(x44291,x44292)),f248(x44293,x44291,x44294,x44292,x44295,x44296)),f317(f67(x44293,x44291,f906(x44293,x44294),x44295),f241(x44293,x44294)))
% 199.17/199.22 [4052]E(f317(f317(f67(x40521,x40522,x40523,x40524),x40525),x40526),f317(x40524,f317(x40525,x40526)))
% 199.17/199.22 [4186]E(f214(x41861,f906(x41862,f903(x41862)),x41863,f317(f247(x41862,f903(x41862),x41861),x41864),f317(f125(x41862),f116(x41862,x41865,x41866))),f317(f317(x41864,x41865),x41866))
% 199.17/199.22 [4234]E(f217(x42341,x42342,x42343,x42344,f211(x42341,x42342,x42345,x42346)),f317(f317(f74(a901),f317(f317(f74(a901),f317(x42343,x42345)),f317(x42344,x42346))),f317(a102,f2(a901))))
% 199.17/199.22 [3855]E(f317(f317(f247(x38551,x38552,x38553),x38554),f317(f317(f242(x38551,x38552),x38555),x38556)),f317(f317(x38554,x38555),x38556))
% 199.17/199.22 [3918]E(f317(f317(f317(f10(x39181,x39182,x39183),x39184),x39185),x39186),f317(x39184,f317(x39185,x39186)))
% 199.17/199.22 [3919]E(f317(f317(f317(f9(x39191,x39192,x39193),x39194),x39195),x39196),f317(f317(x39194,x39196),x39195))
% 199.17/199.22 [3935]E(f317(f317(f317(f20(x39351,x39352,x39353),x39354),x39355),x39356),f317(f317(x39354,x39356),f317(x39355,x39356)))
% 199.17/199.22 [3956]E(f317(f146(x39561,x39562,x39563,x39564),f317(f317(f141(x39562),x39565),x39566)),f317(f317(x39564,x39565),x39566))
% 199.17/199.22 [3991]E(f159(f906(x39911,x39912),f317(f317(f228(a901),x39913),x39914),f317(f317(f242(x39911,x39912),x39915),x39916)),f317(f317(f171(x39911,x39912),f159(x39911,x39913,x39915)),f159(x39912,x39914,x39916)))
% 199.17/199.22 [4057]E(f317(f317(f141(f906(x40571,x40572)),f317(f317(f242(x40571,x40572),x40573),x40574)),f317(f317(f171(x40571,x40572),x40575),x40576)),f317(f317(f171(x40571,x40572),f317(f317(f141(x40571),x40573),x40575)),f317(f317(f141(x40572),x40574),x40576)))
% 199.17/199.22 [4058]E(f317(f317(f144(x40581,x40582),x40583),f317(f317(f149(x40581,x40584),x40585),x40586)),f317(f317(f149(x40582,f317(f317(f144(x40581,x40582),x40583),x40584)),x40585),f317(x40583,x40586)))
% 199.17/199.22 [4082]E(f317(f317(f245(x40821,x40822,x40823,x40824),x40825),x40826),f317(x40824,f317(f317(f242(x40821,x40822),x40825),x40826)))
% 199.17/199.22 [4097]E(f317(f132(x40971,x40972,x40973,x40974),f317(f317(f141(x40972),x40975),x40976)),f317(f132(x40971,x40972,x40973,f317(f317(x40973,x40974),x40975)),x40976))
% 199.17/199.22 [4122]E(f250(x41221,x41222,x41223,x41224,f317(f317(f242(x41221,x41222),x41225),x41226)),f317(f317(x41224,x41225),x41226))
% 199.17/199.22 [4201]E(f317(f317(f35(x42011,f907(x42012,a897)),x42013),f317(f67(x42014,f907(x42012,a897),x42011,x42015),x42016)),f317(f317(f35(x42014,f907(x42012,a897)),f317(f300(x42011,x42014,x42016),x42013)),x42015))
% 199.17/199.22 [4246]E(f317(f317(f144(x42461,x42462),x42463),f317(f317(f144(x42464,x42461),x42465),x42466)),f317(f317(f144(x42464,x42462),f317(f67(x42461,x42462,x42464,x42463),x42465)),x42466))
% 199.17/199.22 [4252]E(f317(f300(x42521,x42522,f317(f67(x42523,x42522,x42521,x42524),x42525)),x42526),f317(f300(x42523,x42522,x42524),f317(f300(x42521,x42523,x42525),x42526)))
% 199.17/199.22 [4253]E(f317(f301(x42531,x42532,f317(f67(x42533,x42532,x42531,x42534),x42535)),x42536),f317(f301(x42531,x42533,x42535),f317(f301(x42533,x42532,x42534),x42536)))
% 199.17/199.22 [4279]E(f317(f132(x42791,x42792,x42793,f317(f132(x42791,x42792,x42793,x42794),x42795)),x42796),f317(f132(x42791,x42792,x42793,x42794),f317(f317(f124(x42792),x42795),x42796)))
% 199.17/199.22 [4416]E(f317(f248(x44161,x44161,x44162,x44163,f25(x44161),x44164),f317(f317(f242(x44161,x44162),x44165),x44166)),f317(f317(f242(x44161,x44163),x44165),f317(x44164,x44166)))
% 199.17/199.22 [4417]E(f317(f248(x44171,x44172,x44173,x44173,x44174,f25(x44173)),f317(f317(f242(x44171,x44173),x44175),x44176)),f317(f317(f242(x44172,x44173),f317(x44174,x44175)),x44176))
% 199.17/199.22 [4519]E(f317(f317(f144(f906(x45191,x45192),f906(x45191,x45193)),f317(f247(x45191,x45192,f906(x45191,x45193)),f317(f317(f9(x45191,f907(x45192,x45193),f907(x45192,f906(x45191,x45193))),f317(f317(f10(f907(x45193,f906(x45191,x45193)),f907(f907(x45192,x45193),f907(x45192,f906(x45191,x45193))),x45191),f10(x45193,f906(x45191,x45193),x45192)),f242(x45191,x45193))),x45194))),f317(f317(f171(x45191,x45192),x45195),x45196)),f317(f317(f171(x45191,x45193),x45195),f317(f317(f144(x45192,x45193),x45194),x45196)))
% 199.17/199.22 [4107]E(f317(f317(f67(x41071,x41072,x41073,f317(f18(x41072,x41071),x41074)),x41075),x41076),x41074)
% 199.17/199.22 [4138]E(f317(f300(x41381,x41382,x41383),f317(f300(x41384,x41381,x41385),x41386)),f317(f300(x41384,x41382,f317(f317(f10(x41381,x41382,x41384),x41383),x41385)),x41386))
% 199.17/199.22 [4143]E(f317(f317(f34(x41431,f907(x41432,a897)),f317(f300(x41433,x41431,x41434),x41435)),x41436),f317(f317(f34(x41433,f907(x41432,a897)),x41435),f317(f317(f10(x41431,f907(x41432,a897),x41433),x41436),x41434)))
% 199.17/199.22 [4144]E(f317(f317(f35(x41441,f907(x41442,a897)),f317(f300(x41443,x41441,x41444),x41445)),x41446),f317(f317(f35(x41443,f907(x41442,a897)),x41445),f317(f317(f10(x41441,f907(x41442,a897),x41443),x41446),x41444)))
% 199.17/199.22 [4145]E(f317(f317(f34(x41451,f907(x41452,a897)),x41453),f317(f317(f10(x41454,f907(x41452,a897),x41451),x41455),x41456)),f317(f317(f34(x41454,f907(x41452,a897)),f317(f300(x41451,x41454,x41456),x41453)),x41455))
% 199.17/199.22 [4146]E(f317(f317(f35(x41461,f907(x41462,a897)),x41463),f317(f317(f10(x41464,f907(x41462,a897),x41461),x41465),x41466)),f317(f317(f35(x41464,f907(x41462,a897)),f317(f300(x41461,x41464,x41466),x41463)),x41465))
% 199.17/199.22 [4203]E(f317(f317(f35(x42031,f907(x42032,a897)),x42033),f317(f317(f10(f907(x42034,a897),f907(x42032,a897),x42031),f300(x42034,x42032,x42035)),x42036)),f317(f300(x42034,x42032,x42035),f317(f317(f35(x42031,f907(x42034,a897)),x42033),x42036)))
% 199.17/199.22 [4204]E(f317(f317(f35(x42041,f907(x42042,a897)),x42043),f317(f317(f10(f907(x42044,a897),f907(x42042,a897),x42041),f274(x42044,x42042,x42045)),x42046)),f317(f274(x42044,x42042,x42045),f317(f317(f35(x42041,f907(x42044,a897)),x42043),x42046)))
% 199.17/199.22 [4205]E(f317(f317(f34(x42051,f907(x42052,a897)),x42053),f317(f317(f10(f907(x42054,a897),f907(x42052,a897),x42051),f301(x42052,x42054,x42055)),x42056)),f317(f301(x42052,x42054,x42055),f317(f317(f34(x42051,f907(x42054,a897)),x42053),x42056)))
% 199.17/199.22 [4206]E(f317(f317(f35(x42061,f907(x42062,a897)),x42063),f317(f317(f10(f907(x42064,a897),f907(x42062,a897),x42061),f301(x42062,x42064,x42065)),x42066)),f317(f301(x42062,x42064,x42065),f317(f317(f35(x42061,f907(x42064,a897)),x42063),x42066)))
% 199.17/199.22 [4284]E(f317(f132(x42841,x42842,f317(f9(x42842,x42841,x42841),x42843),x42844),f317(f158(x42842),f317(f317(f141(x42842),x42845),x42846))),f317(f317(x42843,x42845),f317(f132(x42841,x42842,f317(f9(x42842,x42841,x42841),x42843),x42844),f317(f158(x42842),x42846))))
% 199.17/199.22 [4348]E(f317(f317(f20(f906(x43481,x43482),x43482,x43483),f317(f317(f10(x43484,f907(x43482,x43483),f906(x43481,x43482)),x43485),f317(f317(f10(x43481,x43484,f906(x43481,x43482)),x43486),f241(x43481,x43482)))),f246(x43481,x43482)),f317(f247(x43481,x43482,x43483),f317(f317(f10(x43484,f907(x43482,x43483),x43481),x43485),x43486)))
% 199.17/199.22 [4354]E(f317(f132(x43541,x43542,f317(f9(x43542,x43541,x43541),x43543),f317(f132(x43541,x43542,f317(f9(x43542,x43541,x43541),x43543),x43544),f317(f158(x43542),x43545))),f317(f158(x43542),x43546)),f317(f132(x43541,x43542,f317(f9(x43542,x43541,x43541),x43543),x43544),f317(f158(x43542),f317(f317(f124(x43542),x43546),x43545))))
% 199.17/199.22 [4356]E(f317(f317(f144(f906(x43561,x43562),f906(x43563,x43562)),f317(f247(x43561,x43562,f906(x43563,x43562)),f317(f317(f10(x43563,f907(x43562,f906(x43563,x43562)),x43561),f242(x43563,x43562)),x43564))),f317(f317(f171(x43561,x43562),x43565),x43566)),f317(f317(f171(x43563,x43562),f317(f317(f144(x43561,x43563),x43564),x43565)),x43566))
% 199.17/199.22 [4404]P1(f317(f317(f224(f907(x44041,a897)),f317(f274(x44042,x44041,x44043),f317(f317(f34(x44044,f907(x44042,a897)),x44045),x44046))),f317(f317(f34(x44044,f907(x44041,a897)),x44045),f317(f317(f10(f907(x44042,a897),f907(x44041,a897),x44044),f274(x44042,x44041,x44043)),x44046))))
% 199.17/199.22 [4215]E(f317(f317(f171(x42151,x42152),f317(f317(f149(x42151,x42153),x42154),f317(f241(x42151,x42152),x42155))),f317(f317(f149(x42152,x42156),x42154),f317(f246(x42151,x42152),x42155))),f317(f317(f149(f906(x42151,x42152),f317(f317(f171(x42151,x42152),x42153),x42156)),x42154),x42155))
% 199.17/199.22 [4267]E(f317(f317(f91(f907(f906(x42671,x42672),a897)),f317(f317(f278(x42671,x42673,x42672),x42674),x42675)),f317(f317(f278(x42671,x42673,x42672),x42674),x42676)),f317(f317(f278(x42671,x42673,x42672),x42674),f317(f317(f91(f907(f906(x42673,x42672),a897)),x42675),x42676)))
% 199.17/199.22 [4368]E(f317(f317(f299(f906(x43681,x43682)),f317(f317(f242(x43681,x43682),x43683),x43684)),f317(f317(f91(f907(f906(x43681,x43682),a897)),f317(f317(f244(x43681,x43682),x43685),f317(f18(f907(x43682,a897),x43681),f317(f317(f299(x43682),x43684),x43686)))),f317(f317(f244(x43681,x43682),f317(f317(f299(x43681),x43683),x43685)),f317(f18(f907(x43682,a897),x43681),x43686)))),f317(f317(f244(x43681,x43682),f317(f317(f299(x43681),x43683),x43685)),f317(f18(f907(x43682,a897),x43681),f317(f317(f299(x43682),x43684),x43686))))
% 199.17/199.22 [4446]E(f317(f317(f92(f907(x44461,a897)),f317(f301(x44461,x44462,f317(f67(f906(x44462,x44463),x44462,x44461,f241(x44462,x44463)),x44464)),x44465)),f317(f301(x44461,x44463,f317(f67(f906(x44462,x44463),x44463,x44461,f246(x44462,x44463)),x44464)),x44466)),f317(f301(x44461,f906(x44462,x44463),x44464),f317(f317(f244(x44462,x44463),x44465),f317(f18(f907(x44463,a897),x44462),x44466))))
% 199.17/199.22 [4290]E(f317(f317(f91(f907(f906(x42901,x42902),a897)),f317(f317(f278(x42901,x42903,x42902),x42904),x42905)),f317(f317(f278(x42901,x42903,x42902),x42906),x42905)),f317(f317(f278(x42901,x42903,x42902),f317(f317(f91(f907(f906(x42901,x42903),a897)),x42904),x42906)),x42905))
% 199.17/199.22 [4426]E(f317(f317(f34(x44261,f907(x44262,a897)),x44263),f317(f317(f9(x44261,f907(x44264,f907(x44262,a897)),f907(x44262,a897)),f317(f317(f10(f907(x44264,a897),f907(f907(x44264,f907(x44262,a897)),f907(x44262,a897)),x44261),f34(x44264,f907(x44262,a897))),x44265)),x44266)),f317(f317(f34(x44264,f907(x44262,a897)),f317(f317(f35(x44261,f907(x44264,a897)),x44263),x44265)),x44266))
% 199.17/199.22 [4427]E(f317(f317(f35(x44271,f907(x44272,a897)),x44273),f317(f317(f9(x44271,f907(x44274,f907(x44272,a897)),f907(x44272,a897)),f317(f317(f10(f907(x44274,a897),f907(f907(x44274,f907(x44272,a897)),f907(x44272,a897)),x44271),f35(x44274,f907(x44272,a897))),x44275)),x44276)),f317(f317(f35(x44274,f907(x44272,a897)),f317(f317(f35(x44271,f907(x44274,a897)),x44273),x44275)),x44276))
% 199.17/199.22 [4483]E(f317(f247(x44831,x44832,f906(x44833,x44834)),f317(f317(f9(x44831,f907(x44832,x44834),f907(x44832,f906(x44833,x44834))),f317(f317(f10(f907(x44834,f906(x44833,x44834)),f907(f907(x44832,x44834),f907(x44832,f906(x44833,x44834))),x44831),f10(x44834,f906(x44833,x44834),x44832)),f317(f317(f10(x44833,f907(x44834,f906(x44833,x44834)),x44831),f242(x44833,x44834)),x44835))),x44836)),f248(x44831,x44833,x44832,x44834,x44835,x44836))
% 199.17/199.22 [4512]E(f317(f300(x45121,x45122,f317(f317(f20(x45121,x45122,x45122),f317(f317(f20(x45121,x45122,f907(x45122,x45122)),f317(f317(f10(a897,f907(x45122,f907(x45122,x45122)),x45121),f86(x45122)),x45123)),x45124)),x45125)),x45126),f317(f317(f91(f907(x45122,a897)),f317(f300(x45121,x45122,x45124),f317(f317(f92(f907(x45121,a897)),x45126),f317(f252(x45121),x45123)))),f317(f300(x45121,x45122,x45125),f317(f317(f92(f907(x45121,a897)),x45126),f317(f252(x45121),f317(f317(f10(a897,a897,x45121),a312),x45123))))))
% 199.17/199.22 [4526]E(f317(f300(x45261,f906(x45262,x45263),f317(f317(f20(x45261,x45263,f906(x45262,x45263)),f317(f317(f10(x45262,f907(x45263,f906(x45262,x45263)),x45261),f242(x45262,x45263)),x45264)),x45265)),x45266),f317(f317(f244(x45262,x45263),f317(f300(x45261,x45262,x45264),x45266)),f317(f317(f10(f907(x45261,a897),f907(x45263,a897),x45262),f300(x45261,x45263,x45265)),f317(f317(f9(x45262,f907(x45261,a897),f907(x45261,a897)),f317(f317(f10(f907(x45261,a897),f907(f907(x45261,a897),f907(x45261,a897)),x45262),f92(f907(x45261,a897))),f317(f317(f10(f907(x45262,a897),f907(x45261,a897),x45262),f301(x45261,x45262,x45264)),f317(f317(f9(x45262,f907(x45262,a897),f907(x45262,a897)),f299(x45262)),f179(f907(x45262,a897)))))),x45266))))
% 199.17/199.22 [4554]E(f236(x45541,x45542,x45543,x45544,x45545,x45546),f317(x45544,f317(f252(x45541),f317(f317(f10(f907(f907(x45543,x45541),a897),a897,x45541),f80(f907(x45543,x45541))),f317(f317(f10(f907(f907(x45543,x45541),a897),f907(f907(x45543,x45541),a897),x45541),f317(f20(f907(x45543,x45541),a897,a897),f317(f317(f10(a897,f907(a897,a897),f907(x45543,x45541)),a315),f317(f317(f9(f907(x45543,x45541),f907(f907(x45543,x45541),a897),a897),f319(f907(x45543,x45541))),x45545)))),f317(f317(f9(x45541,f907(f907(x45543,x45541),x45541),f907(f907(x45543,x45541),a897)),f317(f317(f10(f907(x45541,a897),f907(f907(f907(x45543,x45541),x45541),f907(f907(x45543,x45541),a897)),x45541),f10(x45541,a897,f907(x45543,x45541))),a314)),f317(f317(f9(f907(x45543,x45541),x45543,x45541),f7(f907(x45543,x45541))),x45546)))))))
% 199.17/199.22 [4331]E(f317(f67(x43311,x43312,x43313,x43314),f69(x43313,x43311,x43315,x43316,x43317)),f69(x43313,x43312,f317(f67(x43311,x43312,x43313,x43314),x43315),x43316,f317(x43314,x43317)))
% 199.17/199.22 [4468]E(f317(f246(x44681,x44682),f317(f248(x44683,x44681,x44684,x44682,x44685,x44686),x44687)),f317(x44686,f317(f246(x44683,x44684),x44687)))
% 199.17/199.22 [4469]E(f317(f241(x44691,x44692),f317(f248(x44693,x44691,x44694,x44692,x44695,x44696),x44697)),f317(x44695,f317(f241(x44693,x44694),x44697)))
% 199.17/199.22 [4178]E(f317(f317(f171(x41781,x41782),f317(f317(f149(x41781,x41783),x41784),x41785)),f317(f317(f149(x41782,x41786),x41784),x41787)),f317(f317(f149(f906(x41781,x41782),f317(f317(f171(x41781,x41782),x41783),x41786)),x41784),f317(f317(f242(x41781,x41782),x41785),x41787)))
% 199.17/199.22 [4241]E(f317(f317(f317(f249(x42411,x42412,x42413,x42414),x42415),x42416),x42417),f317(f317(f247(x42412,x42413,x42414),x42416),f317(x42415,x42417)))
% 199.17/199.22 [4251]E(f317(f317(f317(f249(x42511,x42512,x42513,x42514),x42515),x42516),x42517),f317(f317(x42516,f317(f241(x42512,x42513),f317(x42515,x42517))),f317(f246(x42512,x42513),f317(x42515,x42517))))
% 199.17/199.22 [4305]E(f317(f67(x43051,x43052,x43053,x43054),f317(f67(x43055,x43051,x43053,x43056),x43057)),f317(f67(x43055,x43052,x43053,f317(f67(x43051,x43052,x43055,x43054),x43056)),x43057))
% 199.17/199.22 [4487]E(f317(f248(x44871,x44872,x44873,x44873,x44874,f25(x44873)),f317(f248(x44871,x44871,x44875,x44873,f25(x44871),x44876),x44877)),f317(f317(f242(x44872,x44873),f317(x44874,f317(f241(x44871,x44875),x44877))),f317(x44876,f317(f246(x44871,x44875),x44877))))
% 199.17/199.22 [4488]E(f317(f248(x44881,x44881,x44882,x44883,f25(x44881),x44884),f317(f248(x44885,x44881,x44882,x44882,x44886,f25(x44882)),x44887)),f317(f317(f242(x44881,x44883),f317(x44886,f317(f241(x44885,x44882),x44887))),f317(x44884,f317(f246(x44885,x44882),x44887))))
% 199.17/199.22 [4510]E(f317(f248(x45101,x45102,x45103,x45103,x45104,f25(x45103)),f317(f248(x45105,x45101,x45103,x45103,x45106,f25(x45103)),x45107)),f317(f248(x45105,x45102,x45103,x45103,f317(f67(x45101,x45102,x45105,x45104),x45106),f25(x45103)),x45107))
% 199.17/199.22 [4511]E(f317(f248(x45111,x45111,x45112,x45113,f25(x45111),x45114),f317(f248(x45111,x45111,x45115,x45112,f25(x45111),x45116),x45117)),f317(f248(x45111,x45111,x45115,x45113,f25(x45111),f317(f67(x45112,x45113,x45115,x45114),x45116)),x45117))
% 199.17/199.22 [4523]E(f317(f248(x45231,x45232,x45233,x45233,x45234,f25(x45233)),f317(f248(x45231,x45231,x45235,x45233,f25(x45231),x45236),x45237)),f317(f248(x45232,x45232,x45235,x45233,f25(x45232),x45236),f317(f248(x45231,x45232,x45235,x45235,x45234,f25(x45235)),x45237)))
% 199.17/199.22 [4212]E(f317(f317(f278(x42121,x42122,x42123),f317(f317(f278(x42121,x42124,x42122),x42125),x42126)),x42127),f317(f317(f278(x42121,x42124,x42123),x42125),f317(f317(f278(x42124,x42122,x42123),x42126),x42127)))
% 199.17/199.22 [4273]E(f317(f317(f247(x42731,x42732,x42733),f317(f67(x42734,f907(x42732,x42733),x42731,x42735),x42736)),x42737),f317(f317(x42735,f317(x42736,f317(f241(x42731,x42732),x42737))),f317(f246(x42731,x42732),x42737)))
% 199.17/199.22 [4359]E(f317(f132(x43591,x43592,f317(f9(x43592,x43591,x43591),x43593),x43594),f317(f158(x43592),f317(f317(f144(x43595,x43592),x43596),x43597))),f317(f132(x43591,x43595,f317(f9(x43595,x43591,x43591),f317(f67(x43592,f907(x43591,x43591),x43595,x43593),x43596)),x43594),f317(f158(x43595),x43597)))
% 199.17/199.22 [4306]E(f317(f317(f35(x43061,f907(f906(x43062,x43063),a897)),x43064),f317(f317(f10(f907(f906(x43065,x43063),a897),f907(f906(x43062,x43063),a897),x43061),f317(f278(x43062,x43065,x43063),x43066)),x43067)),f317(f317(f278(x43062,x43065,x43063),x43066),f317(f317(f35(x43061,f907(f906(x43065,x43063),a897)),x43064),x43067)))
% 199.17/199.22 [4451]E(f317(f317(f35(x44511,f907(f906(x44512,x44513),a897)),x44514),f317(f317(f9(x44511,f907(f906(x44515,x44513),a897),f907(f906(x44512,x44513),a897)),f317(f317(f10(f907(f906(x44512,x44515),a897),f907(f907(f906(x44515,x44513),a897),f907(f906(x44512,x44513),a897)),x44511),f278(x44512,x44515,x44513)),x44516)),x44517)),f317(f317(f278(x44512,x44515,x44513),f317(f317(f35(x44511,f907(f906(x44512,x44515),a897)),x44514),x44516)),x44517))
% 199.17/199.22 [4452]E(f317(f132(x44521,x44522,f317(f317(f9(x44521,f907(x44522,x44523),f907(x44522,x44521)),f317(f317(f10(f907(x44523,x44521),f907(f907(x44522,x44523),f907(x44522,x44521)),x44521),f10(x44523,x44521,x44522)),x44524)),x44525),x44526),x44527),f317(f132(x44521,x44523,x44524,x44526),f317(f317(f144(x44522,x44523),x44525),x44527)))
% 199.17/199.22 [4524]E(f317(f317(f34(x45241,f907(x45242,a897)),x45243),f317(f317(f10(f907(x45244,f907(x45242,a897)),f907(x45242,a897),x45241),f317(f34(x45244,f907(x45242,a897)),x45245)),f317(f317(f9(x45241,f907(x45244,f907(x45242,a897)),f907(x45244,f907(x45242,a897))),f317(f317(f10(f907(f907(x45242,a897),f907(x45242,a897)),f907(f907(x45244,f907(x45242,a897)),f907(x45244,f907(x45242,a897))),x45241),f10(f907(x45242,a897),f907(x45242,a897),x45244)),f317(f317(f10(f907(x45242,a897),f907(f907(x45242,a897),f907(x45242,a897)),x45241),f91(f907(x45242,a897))),x45246))),x45247))),f317(f317(f91(f907(x45242,a897)),f317(f317(f34(x45241,f907(x45242,a897)),x45243),x45246)),f317(f317(f34(x45244,f907(x45242,a897)),x45245),x45247)))
% 199.17/199.22 [4525]E(f317(f317(f35(x45251,f907(x45252,a897)),x45253),f317(f317(f10(f907(x45254,f907(x45252,a897)),f907(x45252,a897),x45251),f317(f35(x45254,f907(x45252,a897)),x45255)),f317(f317(f9(x45251,f907(x45254,f907(x45252,a897)),f907(x45254,f907(x45252,a897))),f317(f317(f10(f907(f907(x45252,a897),f907(x45252,a897)),f907(f907(x45254,f907(x45252,a897)),f907(x45254,f907(x45252,a897))),x45251),f10(f907(x45252,a897),f907(x45252,a897),x45254)),f317(f317(f10(f907(x45252,a897),f907(f907(x45252,a897),f907(x45252,a897)),x45251),f92(f907(x45252,a897))),x45256))),x45257))),f317(f317(f92(f907(x45252,a897)),f317(f317(f35(x45251,f907(x45252,a897)),x45253),x45256)),f317(f317(f35(x45254,f907(x45252,a897)),x45255),x45257)))
% 199.17/199.22 [4515]E(f188(x45151,x45152,f317(f317(f317(x45153,x45154),x45155),x45156),f317(f317(f9(x45151,f906(a89,a89),f907(a89,f903(x45152))),f317(f317(f9(x45151,a89,f907(f906(a89,a89),f907(a89,f903(x45152)))),f317(f317(f9(x45151,a89,f907(a89,f907(f906(a89,a89),f907(a89,f903(x45152))))),x45157),x45154)),x45155)),x45156)),f317(f317(f317(f200(x45151,x45152,x45153,x45157),x45154),x45155),x45156))
% 199.17/199.22 [4527]E(f189(x45271,x45272,f317(f317(f317(x45273,x45274),x45275),x45276),f317(f317(f9(x45271,f906(a89,a89),f907(a89,f903(x45272))),f317(f317(f9(x45271,a89,f907(f906(a89,a89),f907(a89,f903(x45272)))),f317(f317(f9(x45271,a89,f907(a89,f907(f906(a89,a89),f907(a89,f903(x45272))))),x45277),x45274)),x45275)),x45276)),f202(x45271,x45272,x45273,x45277,x45274,x45275,x45276))
% 199.17/199.22 [4522]E(f186(x45221,x45222,f317(f317(f317(x45223,x45224),x45225),x45226),f317(f317(f9(x45221,f906(a89,a89),f907(a89,f903(f904(x45222)))),f317(f317(f9(x45221,a89,f907(f906(a89,a89),f907(a89,f903(f904(x45222))))),f317(f317(f9(x45221,a89,f907(a89,f907(f906(a89,a89),f907(a89,f903(f904(x45222)))))),x45227),x45224)),x45225)),x45226)),f317(f317(f317(f196(x45221,x45222,x45223,x45227),x45224),x45225),x45226))
% 199.17/199.22 [4537]E(f187(x45371,x45372,f317(f317(f317(x45373,x45374),x45375),x45376),f317(f317(f9(x45371,f906(a89,a89),f907(a89,f903(f904(x45372)))),f317(f317(f9(x45371,a89,f907(f906(a89,a89),f907(a89,f903(f904(x45372))))),f317(f317(f9(x45371,a89,f907(a89,f907(f906(a89,a89),f907(a89,f903(f904(x45372)))))),x45377),x45374)),x45375)),x45376)),f198(x45371,x45372,x45373,x45377,x45374,x45375,x45376))
% 199.17/199.22 [4418]E(f317(f248(x44181,x44182,x44183,x44184,x44185,x44186),f317(f317(f242(x44181,x44183),x44187),x44188)),f317(f317(f242(x44182,x44184),f317(x44185,x44187)),f317(x44186,x44188)))
% 199.17/199.22 [4539]E(f317(f317(f144(f906(x45391,x45392),f906(x45393,x45394)),f317(f247(x45391,x45392,f906(x45393,x45394)),f317(f317(f9(x45391,f907(x45392,x45394),f907(x45392,f906(x45393,x45394))),f317(f317(f10(f907(x45394,f906(x45393,x45394)),f907(f907(x45392,x45394),f907(x45392,f906(x45393,x45394))),x45391),f10(x45394,f906(x45393,x45394),x45392)),f317(f317(f10(x45393,f907(x45394,f906(x45393,x45394)),x45391),f242(x45393,x45394)),x45395))),x45396))),f317(f317(f171(x45391,x45392),x45397),x45398)),f317(f317(f171(x45393,x45394),f317(f317(f144(x45391,x45393),x45395),x45397)),f317(f317(f144(x45392,x45394),x45396),x45398)))
% 199.17/199.22 [4544]E(f317(f317(f144(f906(x45441,x45442),x45443),f317(f247(x45441,x45442,x45443),f317(f317(f10(f907(x45442,f906(x45441,x45444)),f907(x45442,x45443),x45441),f317(f10(f906(x45441,x45444),x45443,x45442),x45445)),f317(f317(f9(x45441,f907(x45442,x45444),f907(x45442,f906(x45441,x45444))),f317(f317(f10(f907(x45444,f906(x45441,x45444)),f907(f907(x45442,x45444),f907(x45442,f906(x45441,x45444))),x45441),f10(x45444,f906(x45441,x45444),x45442)),f242(x45441,x45444))),x45446)))),f317(f317(f171(x45441,x45442),x45447),x45448)),f317(f317(f144(f906(x45441,x45444),x45443),x45445),f317(f317(f171(x45441,x45444),x45447),f317(f317(f144(x45442,x45444),x45446),x45448))))
% 199.17/199.22 [4460]E(f317(f317(f144(f906(x44601,x44602),x44603),f317(f247(x44601,x44602,x44603),f317(f317(f10(f907(x44602,f906(x44604,x44602)),f907(x44602,x44603),x44601),f317(f10(f906(x44604,x44602),x44603,x44602),x44605)),f317(f317(f10(x44604,f907(x44602,f906(x44604,x44602)),x44601),f242(x44604,x44602)),x44606)))),f317(f317(f171(x44601,x44602),x44607),x44608)),f317(f317(f144(f906(x44604,x44602),x44603),x44605),f317(f317(f171(x44604,x44602),f317(f317(f144(x44601,x44604),x44606),x44607)),x44608)))
% 199.17/199.22 [4409]E(f317(f317(f247(x44091,x44092,x44093),f317(f317(f10(f907(x44092,f906(x44094,x44095)),f907(x44092,x44093),x44091),f317(f10(f906(x44094,x44095),x44093,x44092),f317(f247(x44094,x44095,x44093),x44096))),x44097)),x44098),f317(f317(f247(x44094,x44095,x44093),x44096),f317(f317(f247(x44091,x44092,f906(x44094,x44095)),x44097),x44098)))
% 199.17/199.22 [4545]E(f317(f317(f35(f906(x45451,x45452),f907(f906(x45453,x45454),a897)),f317(f317(f244(x45451,x45452),x45455),f317(f18(f907(x45452,a897),x45451),x45456))),f317(f247(x45451,x45452,f907(f906(x45453,x45454),a897)),f317(f317(f9(x45451,f907(x45452,f907(x45453,f907(x45454,a897))),f907(x45452,f907(f906(x45453,x45454),a897))),f317(f317(f10(f907(f907(x45453,f907(x45454,a897)),f907(f906(x45453,x45454),a897)),f907(f907(x45452,f907(x45453,f907(x45454,a897))),f907(x45452,f907(f906(x45453,x45454),a897))),x45451),f10(f907(x45453,f907(x45454,a897)),f907(f906(x45453,x45454),a897),x45452)),f317(f317(f10(f907(x45453,a897),f907(f907(x45453,f907(x45454,a897)),f907(f906(x45453,x45454),a897)),x45451),f244(x45453,x45454)),x45457))),f317(f317(f10(f907(x45454,a897),f907(x45453,f907(x45454,a897)),x45452),f18(f907(x45454,a897),x45453)),x45458)))),f317(f317(f244(x45453,x45454),f317(f317(f35(x45451,f907(x45453,a897)),x45455),x45457)),f317(f18(f907(x45454,a897),x45453),f317(f317(f35(x45452,f907(x45454,a897)),x45456),x45458))))
% 199.17/199.22 [4474]E(f317(f317(f249(x44741,x44742,x44743,x44744),f317(f317(f249(x44741,x44745,x44746,f906(x44742,x44743)),x44747),x44748)),x44749),f317(f317(f249(x44741,x44745,x44746,x44744),x44747),f317(f317(f9(x44745,f907(x44742,f907(x44743,x44744)),f907(x44746,x44744)),f317(f317(f10(f907(x44746,f906(x44742,x44743)),f907(f907(x44742,f907(x44743,x44744)),f907(x44746,x44744)),x44745),f249(x44746,x44742,x44743,x44744)),x44748)),x44749)))
% 199.17/199.22 [4507]E(f317(f67(f906(x45071,x45072),f906(x45073,x45074),f906(x45075,x45076),f248(x45071,x45073,x45072,x45074,x45077,x45078)),f248(x45075,x45071,x45076,x45072,x45079,x450710)),f248(x45075,x45073,x45076,x45074,f317(f67(x45071,x45073,x45075,x45077),x45079),f317(f67(x45072,x45074,x45076,x45078),x450710)))
% 199.17/199.22 [4513]E(f317(f248(x45131,x45132,x45133,x45134,x45135,x45136),f317(f248(x45137,x45131,x45138,x45133,x45139,x451310),x451311)),f317(f248(x45137,x45132,x45138,x45134,f317(f67(x45131,x45132,x45137,x45135),x45139),f317(f67(x45133,x45134,x45138,x45136),x451310)),x451311))
% 199.17/199.22 [4645]~P2(x46451)+P2(f904(x46451))
% 199.17/199.22 [4646]~P60(x46461)+P60(f904(x46461))
% 199.17/199.22 [4647]~P105(x46471)+P105(f902(x46471))
% 199.17/199.22 [4650]~P144(x46501)+~E(f72(x46501),f2(x46501))
% 199.17/199.22 [4652]~E(x46521,f2(a89))+E(f317(a24,x46521),f2(a1))
% 199.17/199.22 [4653]~E(x46531,f2(a1))+E(f76(a1,x46531),f2(a1))
% 199.17/199.22 [4659]~P146(x46591)+P25(x46591,f2(x46591))
% 199.17/199.22 [4661]~P108(x46611)+P11(x46611,f103(x46611))
% 199.17/199.22 [4670]P1(x46701)+P1(f317(a312,x46701))
% 199.17/199.22 [4724]~P146(x47241)+~P25(x47241,f72(x47241))
% 199.17/199.22 [4759]~P1(x47591)+~P1(f317(a312,x47591))
% 199.17/199.22 [4780]E(f317(a95,x47801),f2(a901))+~P1(f317(a184,x47801))
% 199.17/199.22 [4846]~P76(x48461)+P14(x48461,x48461,f75(x48461))
% 199.17/199.22 [4847]~P67(x48471)+P12(x48471,x48471,f91(x48471))
% 199.17/199.22 [4848]~P108(x48481)+P12(x48481,x48481,f228(x48481))
% 199.17/199.22 [4849]~P108(x48491)+P12(x48491,x48491,f178(x48491))
% 199.17/199.22 [4850]~P103(x48501)+P12(x48501,x48501,f92(x48501))
% 199.17/199.22 [4851]~P99(x48511)+P12(x48511,x48511,f75(x48511))
% 199.17/199.22 [4656]~E(x46561,f2(a901))+E(f317(f90(a1),x46561),f2(a1))
% 199.17/199.22 [4663]~P97(x46631)+E(f317(f94(x46631),a77),f2(x46631))
% 199.17/199.22 [4666]~E(f566(x46661),f2(a901))+E(f317(f155(a901),x46661),f2(a901))
% 199.17/199.22 [4667]~P107(x46671)+E(f226(x46671,f224(x46671)),f228(x46671))
% 199.17/199.22 [4668]~P107(x46681)+E(f227(x46681,f224(x46681)),f178(x46681))
% 199.17/199.22 [4669]~P93(x46691)+E(f76(x46691,f2(x46691)),f2(x46691))
% 199.17/199.22 [4678]~P146(x46781)+E(f317(f90(x46781),f72(a901)),f72(x46781))
% 199.17/199.22 [4679]~P146(x46791)+E(f317(f90(x46791),f2(a901)),f2(x46791))
% 199.17/199.22 [4680]~P141(x46801)+E(f317(f93(x46801),f72(a1)),f72(x46801))
% 199.17/199.22 [4681]~P141(x46811)+E(f317(f93(x46811),f2(a1)),f2(x46811))
% 199.17/199.22 [4682]E(x46821,f2(a901))+~E(f317(f90(a1),x46821),f2(a1))
% 199.17/199.22 [4718]~P89(x47181)+E(f317(f73(x47181),f179(x47181)),f232(x47181))
% 199.17/199.22 [4719]~P89(x47191)+E(f317(f73(x47191),f232(x47191)),f179(x47191))
% 199.17/199.22 [4720]~P78(x47201)+E(f317(f73(x47201),f2(x47201)),f2(x47201))
% 199.17/199.22 [4721]~P119(x47211)+E(f317(f70(x47211),f72(x47211)),f72(x47211))
% 199.17/199.22 [4722]~P88(x47221)+E(f317(f70(x47221),f2(x47221)),f2(x47221))
% 199.17/199.22 [4723]~P85(x47231)+E(f317(f155(x47231),f103(x47231)),f2(x47231))
% 199.17/199.22 [4741]~P33(x47411)+P37(f317(f162(a1),x47411))
% 199.17/199.22 [4764]~P97(x47641)+E(f317(f73(x47641),f72(x47641)),f317(f94(x47641),a87))
% 199.17/199.22 [4779]~P97(x47791)+P25(x47791,f317(f94(x47791),a77))
% 199.17/199.22 [4805]P33(x48051)+~P37(f317(f162(a1),x48051))
% 199.17/199.22 [4852]E(f317(f90(a1),f317(a95,x48521)),x48521)+P1(f317(a184,x48521))
% 199.17/199.22 [4920]~P115(x49201)+E(f235(x49201,f72(x49201),f75(x49201)),f234(x49201))
% 199.17/199.22 [4953]~P97(x49531)+~P25(x49531,f317(f94(x49531),a87))
% 199.17/199.22 [5107]E(f317(f70(a1),x51071),x51071)+P1(f317(f317(f225(a1),x51071),f2(a1)))
% 199.17/199.22 [5125]~E(f317(a95,x51251),f2(a901))+P1(f317(f317(f224(a1),x51251),f2(a1)))
% 199.17/199.22 [5191]~P1(f317(a184,x51911))+P1(f317(f317(f225(a1),x51911),f2(a1)))
% 199.17/199.22 [5230]~P141(x52301)+P1(f317(f317(f319(x52301),f72(x52301)),f100(x52301)))
% 199.17/199.22 [5231]~P146(x52311)+P1(f317(f317(f319(x52311),f72(x52311)),f176(x52311)))
% 199.17/199.22 [5232]~P141(x52321)+P1(f317(f317(f319(x52321),f2(x52321)),f100(x52321)))
% 199.17/199.22 [5233]~P146(x52331)+P1(f317(f317(f319(x52331),f2(x52331)),f176(x52331)))
% 199.17/199.22 [5234]~P126(x52341)+P1(f317(f317(f224(x52341),f2(x52341)),f72(x52341)))
% 199.17/199.22 [5235]~P126(x52351)+P1(f317(f317(f225(x52351),f2(x52351)),f72(x52351)))
% 199.17/199.22 [5287]E(x52871,f72(a901))+~P1(f317(f317(f276(a901),x52871),f72(a901)))
% 199.17/199.22 [5288]E(x52881,f2(a901))+~P1(f317(f317(f224(a901),x52881),f2(a901)))
% 199.17/199.22 [5330]E(f317(a95,x53301),f2(a901))+~P1(f317(f317(f224(a1),x53301),f2(a1)))
% 199.17/199.22 [5388]P1(f317(a184,x53881))+~P1(f317(f317(f225(a1),x53881),f2(a1)))
% 199.17/199.22 [5395]~P108(x53951)+P14(x53951,f902(x53951),f138(x53951,x53951,f7(x53951)))
% 199.17/199.22 [5414]P37(x54141)+~P1(f317(f317(f224(a1),f2(a1)),f323(x54141)))
% 199.17/199.22 [5419]E(f317(f70(a1),x54191),f317(f73(a1),x54191))+~P1(f317(f317(f225(a1),x54191),f2(a1)))
% 199.17/199.22 [5591]~P126(x55911)+~P1(f317(f317(f224(x55911),f72(x55911)),f2(x55911)))
% 199.17/199.22 [5592]~P126(x55921)+~P1(f317(f317(f225(x55921),f72(x55921)),f2(x55921)))
% 199.17/199.22 [5608]~E(x56081,f2(a901))+P1(f317(f317(f224(a1),f317(f90(a1),x56081)),f2(a1)))
% 199.17/199.22 [5609]~E(x56091,f2(a1))+P1(f317(f317(f225(a1),f317(f70(a1),x56091)),f72(a1)))
% 199.17/199.22 [5733]~P85(x57331)+E(f132(x57331,x57331,f74(x57331),f2(x57331)),f155(x57331))
% 199.17/199.22 [5916]~P104(x59161)+P22(a901,x59161,f90(x59161),f232(f907(a901,a897)))
% 199.17/199.22 [6120]E(x61201,f2(a901))+~P1(f317(f317(f224(a1),f317(f90(a1),x61201)),f2(a1)))
% 199.17/199.22 [6121]E(x61211,f2(a1))+~P1(f317(f317(f225(a1),f317(f70(a1),x61211)),f72(a1)))
% 199.17/199.22 [8027]E(x80271,f317(a5,f2(a901)))+P1(f317(f317(f225(a901),f317(f317(f3(a901),f317(a22,x80271)),f317(a102,f2(a901)))),f317(a22,x80271)))
% 199.17/199.22 [8876]~P1(f317(f317(f225(a1),x88761),f2(a1)))+P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x88761)),x88761)),f2(a1)))
% 199.17/199.22 [9254]P1(f317(f317(f225(a1),x92541),f2(a1)))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x92541)),x92541)),f2(a1)))
% 199.17/199.22 [9731]~P1(f317(f317(f225(a1),x97311),f2(a1)))+P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x97311)),x97311)),a87)),f2(a1)))
% 199.17/199.22 [9899]P1(f317(f317(f225(a1),x98991),f2(a1)))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x98991)),x98991)),a87)),f2(a1)))
% 199.17/199.22 [4765]E(x47651,f2(a1))+E(f317(f317(f30(a1),x47651),x47651),f72(a1))
% 199.17/199.22 [4910]~P3(x49101)+E(f31(x49101,f179(f907(x49101,a897))),f179(x49101))
% 199.17/199.22 [4911]~P3(x49111)+E(f31(x49111,f232(f907(x49111,a897))),f232(x49111))
% 199.17/199.22 [4912]~P3(x49121)+E(f32(x49121,f179(f907(x49121,a897))),f232(x49121))
% 199.17/199.22 [4913]~P3(x49131)+E(f32(x49131,f232(f907(x49131,a897))),f179(x49131))
% 199.17/199.22 [4914]~P108(x49141)+E(f129(x49141,f179(f907(x49141,a897))),f103(x49141))
% 199.17/199.22 [5062]E(x50621,f2(a901))+P1(f317(f317(f225(a901),f2(a901)),x50621))
% 199.17/199.22 [5082]~P4(x50821)+P1(f317(f317(f224(a1),f2(a1)),x50821))
% 199.17/199.22 [5116]~E(f317(f94(a901),x51161),f2(a901))+P1(f317(f317(f224(a1),x51161),a77))
% 199.17/199.22 [5121]P37(x51211)+P1(f317(f317(f319(a1),f323(x51211)),x51211))
% 199.17/199.22 [5122]E(x51221,f317(a5,f2(a901)))+P1(f317(f317(f224(a89),f72(a89)),x51221))
% 199.17/199.22 [5163]P1(f317(a184,x51631))+P1(f317(f317(f224(a1),f2(a1)),x51631))
% 199.17/199.22 [5212]E(f317(f90(a1),f317(a95,x52121)),f2(a1))+P1(f317(f317(f224(a1),f2(a1)),x52121))
% 199.17/199.22 [5269]E(f317(f90(a1),f317(f94(a901),x52691)),f317(f94(a1),x52691))+P1(f317(a184,f317(f94(a1),x52691)))
% 199.17/199.22 [5294]E(f317(f94(a901),x52941),f2(a901))+~P1(f317(a184,f317(f94(a1),x52941)))
% 199.17/199.22 [5295]E(f317(f94(a901),x52951),f2(a901))+~P1(f317(f317(f224(a1),x52951),a77))
% 199.17/199.22 [5327]P4(x53271)+~P1(f317(f317(f224(a1),f2(a1)),x53271))
% 199.17/199.22 [5383]P150(f223(a898,f33(x53831)))+~P1(f317(f317(f319(a899),x53831),a909))
% 199.17/199.22 [5398]E(f317(a102,f325(x53981)),x53981)+~P1(f317(f317(f225(a901),f2(a901)),x53981))
% 199.17/199.22 [5408]E(f317(a102,f317(f94(a901),x54081)),f72(a901))+~P1(f317(a184,f317(f94(a1),x54081)))
% 199.17/199.22 [5415]E(f317(f90(a1),f388(x54151)),x54151)+~P1(f317(f317(f225(a1),f2(a1)),x54151))
% 199.17/199.22 [5423]~E(x54231,f317(a5,f2(a901)))+~P1(f317(f317(f224(a89),f72(a89)),x54231))
% 199.17/199.22 [5430]E(f317(f90(a1),f317(f94(a901),x54301)),f2(a1))+~P1(f317(a184,f317(f94(a1),x54301)))
% 199.17/199.22 [5456]E(f317(f155(a901),x54561),f2(a901))+P1(f317(f317(f319(a901),f566(x54561)),f317(f162(a901),x54561)))
% 199.17/199.22 [5477]E(f317(f90(a1),f317(a95,x54771)),x54771)+~P1(f317(f317(f224(a1),f2(a1)),x54771))
% 199.17/199.22 [5485]~P1(f317(a184,x54851))+~P1(f317(f317(f224(a1),f2(a1)),x54851))
% 199.17/199.22 [5584]E(f317(f317(f74(a901),f72(a901)),f317(f94(a901),x55841)),f72(a901))+~P1(f317(f317(f225(a1),x55841),a77))
% 199.17/199.22 [5650]E(x56501,f2(a901))+~P1(f317(f317(f225(a901),x56501),f317(a102,f2(a901))))
% 199.17/199.22 [5674]E(x56741,f317(a102,f2(a901)))+~P1(f317(f317(f276(a901),x56741),f317(a102,f2(a901))))
% 199.17/199.22 [5692]E(f317(f317(f3(a901),f317(f94(a901),x56921)),f72(a901)),f2(a901))+~P1(f317(f317(f224(a1),x56921),a77))
% 199.17/199.22 [5693]E(f317(f317(f74(a901),f317(f94(a901),x56931)),f72(a901)),f72(a901))+~P1(f317(f317(f225(a1),x56931),a77))
% 199.17/199.22 [5705]~P37(x57051)+E(f317(f29(a901),f317(f300(a1,a901,a95),x57051)),f317(f29(a1),x57051))
% 199.17/199.22 [5734]~P108(x57341)+E(f227(x57341,f317(f9(x57341,x57341,a897),f224(x57341))),f228(x57341))
% 199.17/199.22 [5735]~P108(x57351)+E(f226(x57351,f317(f9(x57351,x57351,a897),f224(x57351))),f178(x57351))
% 199.17/199.22 [5745]E(f40(a901,f317(a102,f2(a901)),f317(f94(a901),x57451)),f317(a102,f2(a901)))+~P1(f317(a184,f317(f94(a1),x57451)))
% 199.17/199.22 [5754]~P1(f317(f317(f225(a1),f2(a1)),x57541))+P1(f317(f317(f224(a1),f72(a1)),x57541))
% 199.17/199.22 [5755]P1(f317(f317(f225(a1),f2(a1)),x57551))+~P1(f317(f317(f224(a1),f72(a1)),x57551))
% 199.17/199.22 [5766]E(f317(a102,f317(f317(f3(a901),x57661),f72(a901))),x57661)+~P1(f317(f317(f225(a901),f2(a901)),x57661))
% 199.17/199.22 [5822]P1(f317(f317(f225(a901),f2(a901)),f388(x58221)))+~P1(f317(f317(f225(a1),f2(a1)),x58221))
% 199.17/199.22 [5883]E(f40(a1,f317(f94(a1),a87),x58831),f317(f317(f3(a1),x58831),f72(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x58831))
% 199.17/199.22 [5929]~P1(f317(f317(f225(a1),a77),x59291))+P1(f317(f317(f225(a901),f2(a901)),f317(f94(a901),x59291)))
% 199.17/199.22 [5934]E(f317(a22,f790(x59341)),x59341)+~P1(f317(f317(f319(a901),x59341),f232(f907(a901,a897))))
% 199.17/199.22 [5987]P1(f317(f317(f225(a901),f2(a901)),f317(a95,x59871)))+~P1(f317(f317(f225(a1),f2(a1)),x59871))
% 199.17/199.22 [6037]~P1(f317(f317(f225(a901),f2(a901)),x60371))+P1(f317(f317(f225(a1),f2(a1)),f317(f90(a1),x60371)))
% 199.17/199.22 [6073]~P1(f317(f317(f225(a901),f2(a901)),f317(a95,x60731)))+P1(f317(f317(f225(a1),f2(a1)),x60731))
% 199.17/199.22 [6088]~P37(x60881)+E(f317(f300(a901,a1,f90(a1)),f317(f300(a1,a901,a95),x60881)),x60881)
% 199.17/199.22 [6099]P1(f317(f317(f225(a1),a77),x60991))+~P1(f317(f317(f225(a901),f2(a901)),f317(f94(a901),x60991)))
% 199.17/199.22 [6158]P1(f317(f317(f225(a901),f2(a901)),x61581))+~P1(f317(f317(f225(a1),f2(a1)),f317(f90(a1),x61581)))
% 199.17/199.22 [6274]E(f317(f300(a901,a1,f90(a1)),f317(f290(a901),f317(a95,x62741))),f317(f293(a1,f2(a1)),x62741))+~P1(f317(f317(f224(a1),f2(a1)),x62741))
% 199.17/199.22 [6291]~P126(x62911)+P1(f317(f317(f225(x62911),f2(x62911)),f317(f317(f74(x62911),f72(x62911)),f72(x62911))))
% 199.17/199.22 [6342]P1(f317(f317(f225(a901),f317(a102,f2(a901))),f317(a95,x63421)))+~P1(f317(f317(f225(a1),f72(a1)),x63421))
% 199.17/199.22 [6441]E(x64411,f2(a1))+P1(f317(f44(f2(a1),x64411),f317(f317(f242(a1,a1),f2(a1)),f2(a1))))
% 199.17/199.22 [6614]~P1(f317(f317(f225(a901),f317(a102,f2(a901))),f317(a95,x66141)))+P1(f317(f317(f225(a1),f72(a1)),x66141))
% 199.17/199.22 [7044]~P116(x70441)+P34(x70441,f317(f252(f906(x70441,x70441)),f317(f247(x70441,x70441,a897),f225(x70441))))
% 199.17/199.22 [5637]E(f317(f94(a901),f317(f317(f3(a1),x56371),a87)),f317(a102,f317(f94(a901),x56371)))+P1(f317(a184,f317(f94(a1),x56371)))
% 199.17/199.22 [5653]~P33(x56531)+E(f317(f317(f144(a901,a1),f90(a1)),f317(f317(f144(a1,a901),a95),x56531)),x56531)
% 199.17/199.22 [5772]E(f317(f73(a1),f317(f90(a1),f317(a102,f374(x57721)))),x57721)+~P1(f317(f317(f225(a1),x57721),f2(a1)))
% 199.17/199.22 [5782]E(f317(f317(f74(a901),f72(a901)),f317(f94(a901),x57821)),f317(f94(a901),f317(f317(f3(a1),x57821),a87)))+P1(f317(f317(f225(a1),x57821),a77))
% 199.17/199.22 [5824]E(f317(f317(f30(a1),f317(f94(a1),a87)),x58241),f317(f94(a1),a87))+~P1(f317(f317(f225(a1),f2(a1)),x58241))
% 199.17/199.22 [5925]E(f317(f317(f3(a901),f317(f94(a901),x59251)),f72(a901)),f317(f94(a901),f317(f317(f74(a1),x59251),a87)))+P1(f317(f317(f224(a1),x59251),a77))
% 199.17/199.22 [5926]E(f317(f317(f74(a901),f317(f94(a901),x59261)),f72(a901)),f317(f94(a901),f317(f317(f3(a1),x59261),a87)))+P1(f317(f317(f225(a1),x59261),a77))
% 199.17/199.22 [5972]E(f317(a95,f317(f317(f74(a1),f72(a1)),x59721)),f317(a102,f317(a95,x59721)))+~P1(f317(f317(f224(a1),f2(a1)),x59721))
% 199.17/199.22 [6009]E(f317(a102,f317(f317(f3(a901),x60091),f317(a102,f2(a901)))),x60091)+~P1(f317(f317(f225(a901),f2(a901)),x60091))
% 199.17/199.22 [6225]E(f40(a901,f317(a102,f2(a901)),f317(f94(a901),x62251)),f317(a95,f40(a1,f72(a1),f317(f94(a1),x62251))))+P1(f317(a184,f317(f94(a1),x62251)))
% 199.17/199.22 [6455]~P1(f317(f28(x64551),f232(f907(x64551,a897))))+P1(f317(f28(f904(x64551)),f232(f907(f904(x64551),a897))))
% 199.17/199.22 [6542]~P1(f317(f317(f224(a1),f2(a1)),x65421))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f74(a1),f72(a1)),x65421)))
% 199.17/199.22 [6549]E(f317(f241(a1,a1),f42(f72(a1),f317(f94(a1),x65491))),f317(f317(f30(a1),f72(a1)),f317(f94(a1),x65491)))+~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x65491)))
% 199.17/199.22 [6573]E(f317(f246(a1,a1),f42(f72(a1),f317(f94(a1),x65731))),f40(a1,f72(a1),f317(f94(a1),x65731)))+~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x65731)))
% 199.17/199.22 [6585]P1(f317(f28(x65851),f232(f907(x65851,a897))))+~P1(f317(f28(f904(x65851)),f232(f907(f904(x65851),a897))))
% 199.17/199.22 [6931]~P1(f317(f28(x69311),f232(f907(x69311,a897))))+P1(f317(f317(f225(a901),f2(a901)),f317(f29(x69311),f232(f907(x69311,a897)))))
% 199.17/199.22 [7517]P1(f317(f28(a901),x75171))+~P1(f317(f28(a1),f317(f300(a901,a1,f90(a1)),x75171)))
% 199.17/199.22 [5667]~E(a87,x56671)+E(f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x56671)),x56671),a87)
% 199.17/199.22 [5668]~E(x56681,a87)+E(f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x56681)),x56681),a87)
% 199.17/199.22 [6236]E(x62361,a87)+~E(f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x62361)),x62361),a87)
% 199.17/199.22 [6237]E(a87,x62371)+~E(f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x62371)),x62371),a87)
% 199.17/199.22 [6511]~E(f317(f94(a901),x65111),f2(a901))+P1(f317(a184,f317(f94(a1),f317(f317(f74(a1),x65111),a87))))
% 199.17/199.22 [7190]E(f317(f94(a901),x71901),f2(a901))+~P1(f317(a184,f317(f94(a1),f317(f317(f74(a1),x71901),a87))))
% 199.17/199.22 [7796]E(f317(a97,f512(x77961)),x77961)+~P1(f317(f317(f319(f907(f906(a901,a901),a897)),x77961),a88))
% 199.17/199.22 [6628]~P97(x66281)+E(f317(f94(x66281),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)),f72(x66281))
% 199.17/199.22 [7062]~P1(f317(a184,f317(f94(a1),x70621)))+E(f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x70621)),x70621)),f2(a901))
% 199.17/199.22 [7976]~P1(f317(f317(f225(a1),f317(f94(a1),x79761)),f2(a1)))+E(f317(f241(a1,a1),f317(a46,f45(f317(f73(a1),f72(a1)),f317(f73(a1),f317(f94(a1),x79761))))),f317(f317(f30(a1),f72(a1)),f317(f94(a1),x79761)))
% 199.17/199.22 [7985]~P1(f317(f317(f225(a1),f317(f94(a1),x79851)),f2(a1)))+E(f317(f246(a1,a1),f317(a46,f45(f317(f73(a1),f72(a1)),f317(f73(a1),f317(f94(a1),x79851))))),f40(a1,f72(a1),f317(f94(a1),x79851)))
% 199.17/199.22 [8162]~P1(f317(f317(f224(a1),a77),x81621))+P1(f317(f317(f224(a1),a77),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x81621)),x81621)))
% 199.17/199.22 [8163]~P1(f317(f317(f224(a1),a87),x81631))+P1(f317(f317(f224(a1),a87),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x81631)),x81631)))
% 199.17/199.22 [8164]~P1(f317(f317(f224(a1),a77),x81641))+P1(f317(f317(f225(a1),a77),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x81641)),x81641)))
% 199.17/199.22 [8165]~P1(f317(f317(f225(a1),a87),x81651))+P1(f317(f317(f225(a1),a87),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x81651)),x81651)))
% 199.17/199.22 [8501]~P97(x85011)+~P25(x85011,f317(f94(x85011),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)))
% 199.17/199.22 [8618]P1(f317(f317(f224(a1),a77),x86181))+~P1(f317(f317(f224(a1),a77),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x86181)),x86181)))
% 199.17/199.22 [8619]P1(f317(f317(f224(a1),a77),x86191))+~P1(f317(f317(f225(a1),a77),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x86191)),x86191)))
% 199.17/199.22 [8620]P1(f317(f317(f224(a1),a87),x86201))+~P1(f317(f317(f224(a1),a87),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x86201)),x86201)))
% 199.17/199.22 [8621]P1(f317(f317(f225(a1),a87),x86211))+~P1(f317(f317(f225(a1),a87),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x86211)),x86211)))
% 199.17/199.22 [8847]E(f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x88471)),x88471)),f317(f317(f82(a901,a901),f317(f94(a901),x88471)),f317(f317(f10(a901,a901,a901),a102),f317(f317(f20(a901,a901,a901),f74(a901)),f7(a901)))))+P1(f317(a184,f317(f94(a1),x88471)))
% 199.17/199.22 [9704]E(x97041,f179(f907(f906(a901,a901),a897)))+P1(f317(f317(f319(f906(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897))),f317(f317(f242(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897)),x97041),f179(f907(f906(a901,a901),a897)))),a63))
% 199.17/199.22 [7885]~E(a77,x78851)+E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x78851)),x78851)),a87),a77)
% 199.17/199.22 [7886]~E(x78861,a77)+E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x78861)),x78861)),a87),a77)
% 199.17/199.22 [8516]E(x85161,a77)+~E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x85161)),x85161)),a87),a77)
% 199.17/199.22 [8517]E(a77,x85171)+~E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x85171)),x85171)),a87),a77)
% 199.17/199.22 [8862]~P1(f317(a184,f317(f94(a1),x88621)))+P1(f317(a184,f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x88621)),x88621))))
% 199.17/199.22 [8863]~P1(f317(f317(f225(a1),x88631),a77))+P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x88631)),x88631)),a77))
% 199.17/199.22 [8864]~P1(f317(f317(f224(a1),x88641),a87))+P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x88641)),x88641)),a87))
% 199.17/199.22 [8865]~P1(f317(f317(f225(a1),x88651),a77))+P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x88651)),x88651)),a77))
% 199.17/199.22 [8866]~P1(f317(f317(f225(a1),x88661),a87))+P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x88661)),x88661)),a87))
% 199.17/199.22 [8947]~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x89471)))+P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x89471)),x89471))))
% 199.17/199.22 [9246]P1(f317(a184,f317(f94(a1),x92461)))+~P1(f317(a184,f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x92461)),x92461))))
% 199.17/199.22 [9247]P1(f317(f317(f224(a1),x92471),a87))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x92471)),x92471)),a87))
% 199.17/199.22 [9248]P1(f317(f317(f225(a1),x92481),a77))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x92481)),x92481)),a77))
% 199.17/199.22 [9249]P1(f317(f317(f225(a1),x92491),a77))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x92491)),x92491)),a77))
% 199.17/199.22 [9250]P1(f317(f317(f225(a1),x92501),a87))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x92501)),x92501)),a87))
% 199.17/199.22 [9754]~P1(f317(f28(f906(a901,a901)),x97541))+P1(f317(f317(f319(f906(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897))),f317(f317(f242(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897)),f179(f907(f906(a901,a901),a897))),x97541)),a64))
% 199.17/199.22 [9414]~P1(f317(f317(f224(a1),a77),x94141))+P1(f317(f317(f224(a1),a77),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x94141)),x94141)),a87)))
% 199.17/199.22 [9415]~P1(f317(f317(f225(a1),a87),x94151))+P1(f317(f317(f224(a1),a87),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x94151)),x94151)),a87)))
% 199.17/199.22 [9416]~P1(f317(f317(f225(a1),a77),x94161))+P1(f317(f317(f225(a1),a77),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x94161)),x94161)),a87)))
% 199.17/199.22 [9417]~P1(f317(f317(f225(a1),a87),x94171))+P1(f317(f317(f225(a1),a87),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x94171)),x94171)),a87)))
% 199.17/199.22 [9645]P1(f317(f317(f224(a1),a77),x96451))+~P1(f317(f317(f224(a1),a77),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x96451)),x96451)),a87)))
% 199.17/199.22 [9646]P1(f317(f317(f225(a1),a77),x96461))+~P1(f317(f317(f225(a1),a77),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x96461)),x96461)),a87)))
% 199.17/199.22 [9647]P1(f317(f317(f225(a1),a87),x96471))+~P1(f317(f317(f224(a1),a87),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x96471)),x96471)),a87)))
% 199.17/199.22 [9648]P1(f317(f317(f225(a1),a87),x96481))+~P1(f317(f317(f225(a1),a87),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x96481)),x96481)),a87)))
% 199.17/199.22 [9726]~P1(f317(a184,f317(f94(a1),x97261)))+P1(f317(a184,f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x97261)),x97261)),a87))))
% 199.17/199.22 [9727]~P1(f317(f317(f224(a1),x97271),a77))+P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x97271)),x97271)),a87)),a77))
% 199.17/199.22 [9728]~P1(f317(f317(f224(a1),x97281),a87))+P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x97281)),x97281)),a87)),a87))
% 199.17/199.22 [9729]~P1(f317(f317(f225(a1),x97291),a77))+P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x97291)),x97291)),a87)),a77))
% 199.17/199.22 [9730]~P1(f317(f317(f224(a1),x97301),a87))+P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x97301)),x97301)),a87)),a87))
% 199.17/199.22 [9733]~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x97331)))+P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x97331)),x97331)),a87))))
% 199.17/199.22 [9894]P1(f317(a184,f317(f94(a1),x98941)))+~P1(f317(a184,f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x98941)),x98941)),a87))))
% 199.17/199.22 [9895]P1(f317(f317(f224(a1),x98951),a77))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x98951)),x98951)),a87)),a77))
% 199.17/199.22 [9896]P1(f317(f317(f224(a1),x98961),a87))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x98961)),x98961)),a87)),a87))
% 199.17/199.22 [9897]P1(f317(f317(f224(a1),x98971),a87))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x98971)),x98971)),a87)),a87))
% 199.17/199.22 [9898]P1(f317(f317(f225(a1),x98981),a77))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x98981)),x98981)),a87)),a77))
% 199.17/199.22 [9996]~P97(x99961)+E(f317(f317(f74(x99961),f72(x99961)),f72(x99961)),f317(f94(x99961),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))
% 199.17/199.22 [10076]~P146(x100761)+E(f317(f317(f234(x100761),f72(x100761)),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f72(x100761))
% 199.17/199.22 [10077]~P146(x100771)+E(f317(f317(f234(x100771),f2(x100771)),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f2(x100771))
% 199.17/199.22 [10220]~P1(f317(f317(f225(a901),f72(a901)),x102201))+P1(f317(f317(f225(a901),f2(a901)),f317(f317(f30(a901),x102201),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))))
% 199.17/199.22 [10224]~P1(f317(f317(f225(a901),f2(a901)),x102241))+P1(f317(f317(f225(a901),f2(a901)),f317(f317(f30(a901),f317(f317(f74(a901),x102241),f72(a901))),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))))
% 199.17/199.22 [10252]~E(f40(a901,x102521,f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f72(a901))+P1(f317(f317(f225(a901),f2(a901)),f40(a901,x102521,f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))))
% 199.17/199.22 [10280]E(f40(a901,x102801,f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f72(a901))+~P1(f317(f317(f225(a901),f2(a901)),f40(a901,x102801,f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))))
% 199.17/199.22 [4687]~P5(x46871,x46872)+P40(x46871,x46872)
% 199.17/199.22 [4688]~P34(x46881,x46882)+P55(x46881,x46882)
% 199.17/199.22 [4689]~P41(x46891,x46892)+P55(x46891,x46892)
% 199.17/199.22 [4691]~P5(x46911,x46912)+P47(x46911,x46912)
% 199.17/199.22 [4693]~P13(x46931,x46932)+P47(x46931,x46932)
% 199.17/199.22 [4695]~P5(x46951,x46952)+P48(x46951,x46952)
% 199.17/199.22 [4697]~P13(x46971,x46972)+P48(x46971,x46972)
% 199.17/199.22 [4698]~P5(x46981,x46982)+P13(x46981,x46982)
% 199.17/199.22 [4648]~E(x46481,x46482)+E(f259(x46481,x46482),f72(a89))
% 199.17/199.22 [4651]E(f207(x46511,x46512),x46511)+~E(x46512,f2(a901))
% 199.17/199.22 [4658]~E(x46582,f103(x46581))+E(f142(x46581,x46582),f103(x46581))
% 199.17/199.22 [4677]~E(f142(x46772,x46771),f103(x46772))+E(x46771,f103(x46772))
% 199.17/199.22 [4702]~P65(x47022)+P65(f907(x47021,x47022))
% 199.17/199.22 [4703]~P66(x47032)+P66(f907(x47031,x47032))
% 199.17/199.22 [4704]~P107(x47042)+P107(f907(x47041,x47042))
% 199.17/199.22 [4705]~P109(x47052)+P109(f907(x47051,x47052))
% 199.17/199.22 [4706]~P68(x47062)+P67(f907(x47061,x47062))
% 199.17/199.22 [4707]~P68(x47072)+P68(f907(x47071,x47072))
% 199.17/199.22 [4708]~P100(x47082)+P69(f907(x47081,x47082))
% 199.17/199.22 [4709]~P3(x47092)+P3(f907(x47091,x47092))
% 199.17/199.22 [4710]~P70(x47102)+P70(f907(x47101,x47102))
% 199.17/199.22 [4711]~P68(x47112)+P103(f907(x47111,x47112))
% 199.17/199.22 [4712]~P101(x47122)+P101(f907(x47121,x47122))
% 199.17/199.22 [4713]~P89(x47132)+P89(f907(x47131,x47132))
% 199.17/199.22 [4714]~P90(x47142)+P90(f907(x47141,x47142))
% 199.17/199.22 [4715]~P114(x47152)+P114(f907(x47151,x47152))
% 199.17/199.22 [4716]~P100(x47162)+P102(f907(x47161,x47162))
% 199.17/199.22 [4717]~P100(x47172)+P100(f907(x47171,x47172))
% 199.17/199.22 [4730]E(x47301,x47302)+~E(f317(a102,x47301),f317(a102,x47302))
% 199.17/199.22 [4731]E(x47311,x47312)+~E(f317(a97,x47311),f317(a97,x47312))
% 199.17/199.22 [4732]E(x47321,x47322)+~E(f317(a5,x47321),f317(a5,x47322))
% 199.17/199.22 [4734]E(x47341,x47342)+~E(f317(a22,x47341),f317(a22,x47342))
% 199.17/199.22 [4781]P36(x47811,x47812)+~E(f688(x47812,x47811),f689(x47812,x47811))
% 199.17/199.22 [4811]~P55(x48111,x48112)+P36(x48111,f297(x48111,x48112))
% 199.17/199.22 [4812]~P49(x48121,x48122)+P49(x48121,f297(x48121,x48122))
% 199.17/199.22 [4825]~P58(x48251)+E(f40(x48251,x48252,x48252),f2(x48251))
% 199.17/199.22 [4859]~P34(x48591,x48592)+P34(f902(x48591),f136(x48591,x48592))
% 199.17/199.22 [4860]~P34(x48601,x48602)+P34(f902(x48601),f135(x48601,x48602))
% 199.17/199.22 [4861]~P35(x48611,x48612)+P35(f902(x48611),f137(x48611,x48612))
% 199.17/199.22 [4862]~P35(x48621,x48622)+P35(f902(x48621),f148(x48621,x48622))
% 199.17/199.22 [4863]~P49(x48631,x48632)+P49(f902(x48631),f148(x48631,x48632))
% 199.17/199.22 [4958]~P34(x49581,x49582)+P34(f907(x49581,a897),f310(x49581,x49582))
% 199.17/199.22 [4959]~P34(x49591,x49592)+P34(f907(x49591,a897),f308(x49591,x49592))
% 199.17/199.22 [5091]~P4(x50911)+P37(f294(a1,x50911,x50912))
% 199.17/199.22 [5194]~P34(x51941,x51942)+P57(x51941,f61(x51941,x51941,x51942))
% 199.17/199.22 [5699]~P82(x56991)+P22(x56991,x56991,f73(x56991),x56992)
% 199.17/199.22 [4672]~E(x46722,f103(x46721))+E(f317(f157(x46721),x46722),f103(x46721))
% 199.17/199.22 [4673]~E(x46732,f103(x46731))+E(f317(f158(x46731),x46732),f103(x46731))
% 199.17/199.22 [4736]E(x47361,f317(a95,x47362))+~E(f317(f90(a1),x47361),x47362)
% 199.17/199.22 [4739]E(x47391,f103(x47392))+~E(f317(f157(x47392),x47391),f103(x47392))
% 199.17/199.22 [4740]E(x47401,f103(x47402))+~E(f317(f158(x47402),x47401),f103(x47402))
% 199.17/199.22 [4752]~P97(x47521)+E(f317(f94(x47521),x47522),f317(f93(x47521),x47522))
% 199.17/199.22 [4758]~P2(x47581)+P1(f317(f28(x47581),x47582))
% 199.17/199.22 [4766]~E(f647(x47662,x47661),f103(x47661))+E(f169(x47661,x47662),f103(f902(x47661)))
% 199.17/199.22 [4775]~E(x47752,f103(x47751))+E(f317(f162(x47751),x47752),f179(f907(x47751,a897)))
% 199.17/199.22 [4776]~E(x47762,f103(x47761))+E(f179(f907(x47761,a897)),f317(f162(x47761),x47762))
% 199.17/199.22 [4778]E(x47781,x47782)+~E(f317(f90(a1),x47781),f317(f90(a1),x47782))
% 199.17/199.22 [4782]E(f205(x47821,x47822),f2(a901))+P1(f317(f28(x47821),x47822))
% 199.17/199.22 [4800]~P119(x48001)+E(f76(x48001,f76(x48001,x48002)),f76(x48001,x48002))
% 199.17/199.22 [4814]~P118(x48141)+E(f317(f317(f234(x48141),x48142),f72(a901)),x48142)
% 199.17/199.22 [4815]~P84(x48151)+E(f317(f317(f234(x48151),x48152),f72(a901)),x48152)
% 199.17/199.22 [4816]~P49(x48161,x48162)+E(f317(f275(x48161,x48161),x48162),x48162)
% 199.17/199.22 [4820]E(x48201,x48202)+E(f259(x48201,x48202),f317(f317(f74(a89),x48202),f72(a89)))
% 199.17/199.22 [4823]E(f317(f29(x48231),x48232),f2(a901))+P1(f317(f28(x48231),x48232))
% 199.17/199.22 [4826]~E(f142(x48261,x48262),x48262)+P1(f317(f127(x48261),x48262))
% 199.17/199.22 [4829]~P69(x48291)+E(f317(f317(f91(x48291),x48292),f179(x48291)),x48292)
% 199.17/199.22 [4830]~P78(x48301)+E(f317(f317(f3(x48301),x48302),f2(x48301)),x48302)
% 199.17/199.22 [4831]~P102(x48311)+E(f317(f317(f92(x48311),x48312),f232(x48311)),x48312)
% 199.17/199.22 [4832]~P72(x48321)+E(f317(f317(f74(x48321),x48322),f2(x48321)),x48322)
% 199.17/199.22 [4833]~P118(x48331)+E(f317(f317(f74(x48331),x48332),f2(x48331)),x48332)
% 199.17/199.22 [4834]~P85(x48341)+E(f317(f317(f74(x48341),x48342),f2(x48341)),x48342)
% 199.17/199.22 [4835]~P118(x48351)+E(f317(f317(f75(x48351),x48352),f72(x48351)),x48352)
% 199.17/199.22 [4836]~P79(x48361)+E(f317(f317(f75(x48361),x48362),f72(x48361)),x48362)
% 199.17/199.22 [4837]~P84(x48371)+E(f317(f317(f75(x48371),x48372),f72(x48371)),x48372)
% 199.17/199.22 [4838]~P122(x48381)+E(f317(f317(f280(x48381),x48382),f72(x48381)),x48382)
% 199.17/199.22 [4839]~P58(x48391)+E(f317(f317(f30(x48391),x48392),f72(x48391)),x48392)
% 199.17/199.22 [4840]~P118(x48401)+E(f317(f317(f234(x48401),x48402),f2(a901)),f72(x48401))
% 199.17/199.22 [4841]~P115(x48411)+E(f317(f317(f234(x48411),x48412),f2(a901)),f72(x48411))
% 199.17/199.22 [4842]~E(x48422,f179(f907(x48421,a897)))+E(f317(f29(x48421),x48422),f2(a901))
% 199.17/199.22 [4853]~P58(x48531)+E(f40(x48531,x48532,f2(x48531)),x48532)
% 199.17/199.22 [4864]~P102(x48641)+E(f317(f317(f91(x48641),x48642),f232(x48641)),f232(x48641))
% 199.17/199.22 [4865]~P69(x48651)+E(f317(f317(f92(x48651),x48652),f179(x48651)),f179(x48651))
% 199.17/199.22 [4866]~P118(x48661)+E(f317(f317(f75(x48661),x48662),f2(x48661)),f2(x48661))
% 199.17/199.22 [4867]~P133(x48671)+E(f317(f317(f75(x48671),x48672),f2(x48671)),f2(x48671))
% 199.17/199.22 [4868]~P123(x48681)+E(f317(f317(f280(x48681),x48682),f2(x48681)),f2(x48681))
% 199.17/199.22 [4869]~P58(x48691)+E(f317(f317(f30(x48691),x48692),f2(x48691)),f2(x48691))
% 199.17/199.22 [4871]~P58(x48711)+E(f40(x48711,x48712,f72(x48711)),f2(x48711))
% 199.17/199.22 [4872]~P58(x48721)+E(f40(x48721,f2(x48721),x48722),f2(x48721))
% 199.17/199.22 [4899]E(x48991,f2(a901))+E(f50(x48992,x48991,f103(x48992)),f103(f902(x48992)))
% 199.17/199.22 [4922]P49(x49221,x49222)+~E(f317(f275(x49221,x49221),x49222),x49222)
% 199.17/199.22 [4923]P34(x49231,x49232)+~E(f567(x49232,x49231),f179(f907(x49231,a897)))
% 199.17/199.22 [4924]E(x49241,f103(x49242))+~E(f317(f162(x49242),x49241),f179(f907(x49242,a897)))
% 199.17/199.22 [4925]E(x49251,f103(x49252))+~E(f179(f907(x49252,a897)),f317(f162(x49252),x49251))
% 199.17/199.22 [4928]~E(x49281,x49282)+P1(f317(f317(a314,x49281),x49282))
% 199.17/199.22 [4938]P1(x49381)+P1(f317(f317(a320,x49381),x49382))
% 199.17/199.22 [4939]E(x49391,f103(x49392))+E(f317(f317(f154(x49392),x49391),f2(a901)),f317(f131(x49392),x49391))
% 199.17/199.22 [4942]E(f142(x49421,x49422),x49422)+~P1(f317(f127(x49421),x49422))
% 199.17/199.22 [4949]~P1(x49492)+P1(f317(f317(a320,x49491),x49492))
% 199.17/199.22 [4950]~P1(x49502)+P1(f317(f317(a316,x49501),x49502))
% 199.17/199.22 [4951]~P1(x49511)+P1(f317(f317(a316,x49511),x49512))
% 199.17/199.22 [4961]~E(x49612,f179(f907(x49611,a897)))+P1(f317(f28(x49611),x49612))
% 199.17/199.22 [4962]~E(f648(x49622,x49621),f652(x49622,x49621))+P1(f317(f127(x49621),x49622))
% 199.17/199.22 [4969]E(f317(f252(x49691),x49692),f179(f907(x49691,a897)))+P1(f317(x49692,f493(x49692)))
% 199.17/199.22 [4970]E(f179(f907(x49701,a897)),f317(f252(x49701),x49702))+P1(f317(x49702,f524(x49702)))
% 199.17/199.22 [5043]~P119(x50431)+E(f317(f317(f75(x50431),x50432),f76(x50431,x50432)),f317(f70(x50431),x50432))
% 199.17/199.22 [5055]~E(x50551,f2(a1))+E(f41(x50551,x50552),f317(f317(f242(a1,a1),f2(a1)),f2(a1)))
% 199.17/199.22 [5087]~P55(x50871,x50872)+P55(x50871,f317(f275(x50871,x50871),x50872))
% 199.17/199.22 [5088]~P35(x50881,x50882)+P35(x50881,f317(f275(x50881,x50881),x50882))
% 199.17/199.22 [5089]~P36(x50891,x50892)+P36(x50891,f317(f275(x50891,x50891),x50892))
% 199.17/199.22 [5090]~P49(x50901,x50902)+P49(x50901,f317(f275(x50901,x50901),x50902))
% 199.17/199.22 [5112]E(x51121,x51122)+~P1(f317(f317(a314,x51121),x51122))
% 199.17/199.22 [5123]P1(x51231)+~P1(f317(f317(a315,x51232),x51231))
% 199.17/199.22 [5124]P1(x51241)+~P1(f317(f317(a315,x51241),x51242))
% 199.17/199.22 [5129]~P114(x51291)+P1(f317(f317(f224(x51291),x51292),f232(x51291)))
% 199.17/199.22 [5130]~P118(x51301)+P1(f317(f317(f276(x51301),x51302),f2(x51301)))
% 199.17/199.22 [5134]E(x51341,x51342)+~E(f317(x51341,f387(x51342,x51341)),f317(x51342,f387(x51342,x51341)))
% 199.17/199.22 [5165]E(x51651,f2(a901))+E(f207(x51651,f40(a901,x51652,x51651)),f207(x51652,x51651))
% 199.17/199.22 [5170]~P108(x51701)+P11(x51701,f317(f317(f141(x51701),x51702),f103(x51701)))
% 199.17/199.22 [5172]E(x51721,f2(a1))+P1(f317(f44(x51722,x51721),f41(x51722,x51721)))
% 199.17/199.22 [5189]~P13(x51892,x51891)+P1(f317(f317(x51891,f782(x51891)),f782(x51891)))
% 199.17/199.22 [5192]~E(x51921,x51922)+P1(f317(f317(f225(a901),x51921),f317(a102,x51922)))
% 199.17/199.22 [5202]~E(x52021,f2(a901))+P1(f317(f317(f225(a901),x52021),f317(a102,x52022)))
% 199.17/199.22 [5211]P1(f317(x52111,x52112))+P1(f317(f317(f224(a1),f2(a1)),f343(x52111)))
% 199.17/199.22 [5274]P55(x52741,x52742)+~P55(x52741,f317(f275(x52741,x52741),x52742))
% 199.17/199.22 [5275]P35(x52751,x52752)+~P35(x52751,f317(f275(x52751,x52751),x52752))
% 199.17/199.22 [5276]P36(x52761,x52762)+~P36(x52761,f317(f275(x52761,x52761),x52762))
% 199.17/199.22 [5277]P49(x52771,x52772)+~P49(x52771,f317(f275(x52771,x52771),x52772))
% 199.17/199.22 [5280]~E(f40(a901,x52802,x52801),f2(a901))+E(f317(f317(f75(a901),x52801),f344(x52801,x52802)),x52802)
% 199.17/199.22 [5281]~E(f40(a1,x52812,x52811),f2(a1))+E(f317(f317(f75(a1),x52811),f345(x52811,x52812)),x52812)
% 199.17/199.22 [5308]~P1(f317(x53081,x53082))+P1(f317(f317(f224(a1),f2(a1)),f342(x53081)))
% 199.17/199.22 [5319]E(f317(f317(f3(a901),f317(a95,x53191)),f317(a95,x53192)),f317(a95,x53191))+~P1(f317(a184,x53192))
% 199.17/199.22 [5342]E(f262(x53421,x53422),f72(a89))+~P1(f317(f317(f224(a89),x53421),f72(a89)))
% 199.17/199.22 [5442]E(f317(f317(f154(x54421),x54422),f648(x54422,x54421)),f317(f317(f154(x54421),x54422),f652(x54422,x54421)))+P1(f317(f127(x54421),x54422))
% 199.17/199.22 [5486]~P1(f317(x54861,f84(x54862,x54861)))+P1(f317(x54861,f568(x54862,x54861)))
% 199.17/199.22 [5551]P57(x55511,x55512)+~P1(f317(f305(x55511,x55512),f525(x55512,x55511)))
% 199.17/199.22 [5696]~P13(x56962,x56961)+P1(f317(f317(x56961,f783(x56961,x56962)),f783(x56961,x56962)))
% 199.17/199.22 [5697]~P13(x56972,x56971)+P1(f317(f317(x56971,f786(x56971,x56972)),f786(x56971,x56972)))
% 199.17/199.22 [5706]~E(f317(a102,f40(a901,x57061,x57062)),x57062)+E(f40(a901,f317(a102,x57061),x57062),f2(a901))
% 199.17/199.22 [5761]P34(x57611,x57612)+P1(f317(f317(f319(x57611),f584(x57612,x57611)),f585(x57612,x57611)))
% 199.17/199.22 [5768]~P97(x57681)+P1(f317(f317(f319(x57681),f317(f94(x57681),x57682)),f100(x57681)))
% 199.17/199.22 [5769]~P141(x57691)+P1(f317(f317(f319(x57691),f317(f90(x57691),x57692)),f100(x57691)))
% 199.17/199.22 [5770]~P146(x57701)+P1(f317(f317(f319(x57701),f317(f90(x57701),x57702)),f176(x57701)))
% 199.17/199.22 [5771]~P141(x57711)+P1(f317(f317(f319(x57711),f317(f93(x57711),x57712)),f100(x57711)))
% 199.17/199.22 [5914]~P35(x59141,x59142)+E(f317(f317(f278(x59141,x59141,x59141),x59142),f297(x59141,x59142)),x59142)
% 199.17/199.22 [5928]E(f317(a102,f40(a901,x59281,x59282)),x59282)+E(f40(a901,f317(a102,x59281),x59282),f317(a102,f40(a901,x59281,x59282)))
% 199.17/199.22 [6355]P34(x63551,x63552)+~P1(f317(f317(f319(x63551),f544(x63552,x63551)),f306(x63551,x63552)))
% 199.17/199.22 [6393]~P126(x63931)+~P1(f317(f317(f225(x63931),f317(f90(x63931),x63932)),f2(x63931)))
% 199.17/199.22 [6394]~P88(x63941)+~P1(f317(f317(f225(x63941),f317(f70(x63941),x63942)),f2(x63941)))
% 199.17/199.22 [6482]P1(f317(f317(f225(a1),x64821),f40(a1,x64822,x64821)))+~P1(f317(f317(f225(a1),x64821),f2(a1)))
% 199.17/199.22 [6587]E(f317(f317(f299(a901),f317(a102,x65871)),f294(a901,x65872,x65871)),f294(a901,x65872,f317(a102,x65871)))+~P1(f317(f317(f224(a901),x65872),f317(a102,x65871)))
% 199.17/199.22 [6677]~P108(x66771)+P11(x66771,f140(x66771,x66771,f7(x66771),x66772))
% 199.17/199.22 [6809]E(f317(f157(x68091),x68092),x68092)+~P1(f317(f317(f224(a901),f317(f180(f902(x68091)),x68092)),f72(a901)))
% 199.17/199.22 [6831]~P88(x68311)+P1(f317(f317(f224(x68311),f317(f73(x68311),f317(f70(x68311),x68312))),f2(x68311)))
% 199.17/199.22 [6865]~P34(x68651,x68652)+P34(x68651,f317(f317(f278(x68651,x68651,x68651),x68652),f297(x68651,x68652)))
% 199.17/199.22 [6866]~P49(x68661,x68662)+P49(x68661,f317(f317(f278(x68661,x68661,x68661),x68662),f297(x68661,x68662)))
% 199.17/199.22 [7085]~P1(f317(f317(f225(a1),x70852),f2(a1)))+P1(f317(f317(f224(a1),f40(a1,x70851,x70852)),f2(a1)))
% 199.17/199.22 [7475]~P146(x74751)+E(f181(x74751,f317(f317(f9(x74751,x74751,x74751),f74(x74751)),f72(x74751)),x74752,f2(x74751)),f317(f90(x74751),x74752))
% 199.17/199.22 [7503]~P127(x75031)+~P1(f317(f317(f225(x75031),f317(f317(f75(x75031),x75032),x75032)),f2(x75031)))
% 199.17/199.22 [10316]~P119(x103161)+~P1(f317(f317(f225(x103161),f317(f317(f234(x103161),x103162),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))),f2(x103161)))
% 199.17/199.22 [4737]~E(x47372,f103(x47371))+E(f317(f180(f902(x47371)),x47372),f2(a901))
% 199.17/199.22 [4767]~E(x47671,f2(a901))+E(f317(f317(f74(a901),x47671),x47672),x47672)
% 199.17/199.22 [4768]~E(x47682,f2(a901))+E(f317(f317(f75(a901),x47681),x47682),f2(a901))
% 199.17/199.22 [4770]~E(x47701,f2(a901))+E(f317(f317(f75(a901),x47701),x47702),f2(a901))
% 199.17/199.22 [4771]~E(x47712,f2(a901))+E(f317(f317(f234(a901),x47711),x47712),f72(a901))
% 199.17/199.22 [4772]~E(x47722,f2(a1))+E(f317(f317(f30(a1),x47721),x47722),f2(a1))
% 199.17/199.22 [4783]E(x47831,f103(x47832))+~E(f317(f180(f902(x47832)),x47831),f2(a901))
% 199.17/199.22 [4785]~P67(x47851)+E(f317(f317(f91(x47851),x47852),x47852),x47852)
% 199.17/199.22 [4786]~P68(x47861)+E(f317(f317(f91(x47861),x47862),x47862),x47862)
% 199.17/199.22 [4788]~P108(x47881)+E(f317(f317(f228(x47881),x47882),x47882),x47882)
% 199.17/199.22 [4790]~P108(x47901)+E(f317(f317(f178(x47901),x47902),x47902),x47902)
% 199.17/199.22 [4791]~P68(x47911)+E(f317(f317(f92(x47911),x47912),x47912),x47912)
% 199.17/199.22 [4793]~P103(x47931)+E(f317(f317(f92(x47931),x47932),x47932),x47932)
% 199.17/199.22 [4795]~P99(x47951)+E(f317(f317(f75(x47951),x47952),x47952),x47952)
% 199.17/199.22 [4813]~P78(x48131)+E(f317(f317(f3(x48131),x48132),x48132),f2(x48131))
% 199.17/199.22 [4827]~P78(x48271)+E(f317(f73(x48271),f317(f73(x48271),x48272)),x48272)
% 199.17/199.22 [4828]~P89(x48281)+E(f317(f73(x48281),f317(f73(x48281),x48282)),x48282)
% 199.17/199.22 [4845]~E(x48452,f2(a901))+E(f317(f317(f234(a901),x48451),x48452),f317(a102,f2(a901)))
% 199.17/199.22 [4880]~P69(x48801)+E(f317(f317(f91(x48801),f179(x48801)),x48802),x48802)
% 199.17/199.22 [4881]~P102(x48811)+E(f317(f317(f92(x48811),f232(x48811)),x48812),x48812)
% 199.17/199.22 [4882]~P72(x48821)+E(f317(f317(f74(x48821),f2(x48821)),x48822),x48822)
% 199.17/199.22 [4883]~P118(x48831)+E(f317(f317(f74(x48831),f2(x48831)),x48832),x48832)
% 199.17/199.22 [4884]~P85(x48841)+E(f317(f317(f74(x48841),f2(x48841)),x48842),x48842)
% 199.17/199.22 [4885]~P118(x48851)+E(f317(f317(f75(x48851),f72(x48851)),x48852),x48852)
% 199.17/199.22 [4886]~P79(x48861)+E(f317(f317(f75(x48861),f72(x48861)),x48862),x48862)
% 199.17/199.22 [4887]~P84(x48871)+E(f317(f317(f75(x48871),f72(x48871)),x48872),x48872)
% 199.17/199.22 [4903]~P102(x49031)+E(f317(f317(f91(x49031),f232(x49031)),x49032),f232(x49031))
% 199.17/199.22 [4904]~P69(x49041)+E(f317(f317(f92(x49041),f179(x49041)),x49042),f179(x49041))
% 199.17/199.22 [4905]~P118(x49051)+E(f317(f317(f75(x49051),f2(x49051)),x49052),f2(x49051))
% 199.17/199.22 [4906]~P133(x49061)+E(f317(f317(f75(x49061),f2(x49061)),x49062),f2(x49061))
% 199.17/199.22 [4907]~P84(x49071)+E(f317(f317(f234(x49071),f72(x49071)),x49072),f72(x49071))
% 199.17/199.22 [4908]~P122(x49081)+E(f317(f317(f280(x49081),f2(x49081)),x49082),f2(x49081))
% 199.17/199.22 [4909]~P58(x49091)+E(f317(f317(f30(x49091),f2(x49091)),x49092),f2(x49091))
% 199.17/199.22 [4917]E(x49171,f103(x49172))+E(f134(x49172,f317(f158(x49172),x49171)),f317(f131(x49172),x49171))
% 199.17/199.22 [4918]E(x49181,f103(x49182))+E(f317(f131(x49182),f317(f158(x49182),x49181)),f134(x49182,x49181))
% 199.17/199.22 [4919]E(x49191,f2(a901))+~E(f317(f317(f74(a901),x49192),x49191),x49192)
% 199.17/199.22 [4926]~P97(x49261)+E(f317(f93(x49261),f317(f94(a1),x49262)),f317(f94(x49261),x49262))
% 199.17/199.22 [4927]~P141(x49271)+E(f317(f93(x49271),f317(f90(a1),x49272)),f317(f90(x49271),x49272))
% 199.17/199.22 [4934]E(x49341,f72(a901))+~E(f317(f317(f75(a901),x49342),x49341),f72(a901))
% 199.17/199.22 [4935]E(x49351,f72(a901))+~E(f317(f317(f75(a901),x49351),x49352),f72(a901))
% 199.17/199.22 [4936]E(x49361,f2(a901))+~E(f317(f317(f74(a901),x49362),x49361),f2(a901))
% 199.17/199.22 [4937]E(x49371,f2(a901))+~E(f317(f317(f74(a901),x49371),x49372),f2(a901))
% 199.17/199.22 [4954]~P88(x49541)+E(f317(f70(x49541),f317(f73(x49541),x49542)),f317(f70(x49541),x49542))
% 199.17/199.22 [4955]~P119(x49551)+E(f317(f70(x49551),f317(f90(x49551),x49552)),f317(f90(x49551),x49552))
% 199.17/199.22 [4956]~P88(x49561)+E(f317(f70(x49561),f317(f70(x49561),x49562)),f317(f70(x49561),x49562))
% 199.17/199.22 [4957]~P72(x49571)+E(f317(f155(x49571),f317(f158(x49571),x49572)),f317(f155(x49571),x49572))
% 199.17/199.22 [4963]~E(x49631,f317(a102,f2(a901)))+E(f317(f317(f234(a901),x49631),x49632),f317(a102,f2(a901)))
% 199.17/199.22 [4972]~P78(x49721)+E(f317(f317(f3(x49721),f2(x49721)),x49722),f317(f73(x49721),x49722))
% 199.17/199.22 [4973]~E(x49732,f2(a901))+E(f129(a901,f317(f293(a901,x49731),x49732)),f103(a901))
% 199.17/199.22 [4982]~P97(x49821)+E(f317(f317(f74(x49821),x49822),f317(f94(x49821),a77)),x49822)
% 199.17/199.22 [4983]E(x49831,f2(a1))+E(f42(f317(f70(a1),x49832),f317(f70(a1),x49831)),f48(x49832,x49831))
% 199.17/199.22 [4999]~E(x49991,x49992)+P1(f317(f317(f224(a901),x49991),x49992))
% 199.17/199.22 [5003]~E(x50031,x50032)+P1(f317(f317(f276(a901),x50031),x50032))
% 199.17/199.22 [5010]~E(x50101,f2(a89))+E(f317(f317(f74(a901),f317(a22,x50101)),x50102),x50102)
% 199.17/199.22 [5024]~P4(x50241)+P4(f317(f317(f234(a1),x50241),x50242))
% 199.17/199.22 [5025]~P89(x50251)+E(f317(f317(f91(x50251),x50252),f317(f73(x50251),x50252)),f232(x50251))
% 199.17/199.22 [5026]~P89(x50261)+E(f317(f317(f92(x50261),x50262),f317(f73(x50261),x50262)),f179(x50261))
% 199.17/199.22 [5027]~P78(x50271)+E(f317(f317(f74(x50271),x50272),f317(f73(x50271),x50272)),f2(x50271))
% 199.17/199.22 [5052]E(x50521,f2(a901))+~E(f317(f73(a1),f317(f90(a1),x50522)),f317(f90(a1),x50521))
% 199.17/199.22 [5053]E(x50531,f2(a901))+~E(f317(f73(a1),f317(f90(a1),x50531)),f317(f90(a1),x50532))
% 199.17/199.22 [5063]E(f185(x50631,x50632),f2(a1))+P1(f317(f317(f224(a1),x50632),x50631))
% 199.17/199.22 [5064]E(f168(x50641,x50642),f103(a1))+P1(f317(f317(f224(a1),x50641),x50642))
% 199.17/199.22 [5065]E(f231(x50651,x50652),f2(a89))+P1(f317(f317(f225(a89),x50651),x50652))
% 199.17/199.22 [5078]E(x50781,f317(a102,f2(a901)))+~E(f317(f317(f75(a901),x50782),x50781),f317(a102,f2(a901)))
% 199.17/199.22 [5079]E(x50791,f317(a102,f2(a901)))+~E(f317(f317(f75(a901),x50791),x50792),f317(a102,f2(a901)))
% 199.17/199.22 [5080]~P65(x50801)+P1(f317(f317(f224(x50801),x50802),x50802))
% 199.17/199.22 [5081]~P118(x50811)+P1(f317(f317(f276(x50811),x50812),x50812))
% 199.17/199.22 [5084]~P97(x50841)+E(f317(f317(f75(x50841),x50842),f317(f94(x50841),a87)),f317(f73(x50841),x50842))
% 199.17/199.22 [5104]~P97(x51041)+E(f317(f73(x51041),f317(f94(x51041),x51042)),f317(f94(x51041),f317(f73(a1),x51042)))
% 199.17/199.22 [5105]~P141(x51051)+E(f317(f73(x51051),f317(f93(x51051),x51052)),f317(f93(x51051),f317(f73(a1),x51052)))
% 199.17/199.22 [5135]~E(x51351,f317(a102,x51352))+P1(f317(f317(f225(a901),f2(a901)),x51351))
% 199.17/199.22 [5153]~P108(x51531)+E(f317(f73(f907(x51531,a897)),f317(f292(x51531),x51532)),f317(f291(x51531),x51532))
% 199.17/199.22 [5154]~P108(x51541)+E(f317(f73(f907(x51541,a897)),f317(f291(x51541),x51542)),f317(f292(x51541),x51542))
% 199.17/199.22 [5155]~P108(x51551)+E(f317(f73(f907(x51551,a897)),f317(f272(x51551),x51552)),f317(f290(x51551),x51552))
% 199.17/199.22 [5156]~P108(x51561)+E(f317(f73(f907(x51561,a897)),f317(f290(x51561),x51562)),f317(f272(x51561),x51562))
% 199.17/199.22 [5164]~E(f317(f90(a1),x51642),x51641)+P1(f317(f317(f224(a1),f2(a1)),x51641))
% 199.17/199.22 [5171]~E(x51712,f2(a1))+E(f48(x51711,x51712),f317(f317(f242(a1,a1),f2(a1)),f317(f70(a1),x51711)))
% 199.17/199.22 [5173]~P66(x51731)+P1(f317(f317(f224(x51731),f179(x51731)),x51732))
% 199.17/199.22 [5174]~P118(x51741)+P1(f317(f317(f276(x51741),f72(x51741)),x51742))
% 199.17/199.22 [5210]~P1(f317(x52101,x52102))+P1(f317(x52101,f317(a95,f342(x52101))))
% 199.17/199.22 [5236]~P119(x52361)+E(f317(f317(f75(x52361),f76(x52361,x52362)),f317(f70(x52361),x52362)),x52362)
% 199.17/199.22 [5243]~E(x52432,f2(a901))+E(f79(f906(a901,a901),f43(x52431,x52432)),f317(f317(f242(a901,a901),f2(a901)),x52431))
% 199.17/199.22 [5248]~E(x52481,x52482)+~P1(f317(f317(f225(a901),x52481),x52482))
% 199.17/199.22 [5249]~E(x52491,x52492)+~P1(f317(f317(f225(a1),x52491),x52492))
% 199.17/199.22 [5252]~P146(x52521)+E(f317(f317(f74(x52521),f72(x52521)),f317(f90(x52521),x52522)),f317(f90(x52521),f317(a102,x52522)))
% 199.17/199.22 [5256]~E(x52561,f2(a901))+~P1(f317(f317(f225(a901),x52562),x52561))
% 199.17/199.22 [5270]E(f142(x52701,x52702),x52702)+~E(f317(f180(f902(x52701)),f142(x52701,x52702)),f317(f180(f902(x52701)),x52702))
% 199.17/199.22 [5271]E(f317(f29(x52711),f317(f162(x52711),x52712)),f317(f180(f902(x52711)),x52712))+~P1(f317(f127(x52711),x52712))
% 199.17/199.22 [5285]~P1(f317(x52851,f366(x52851)))+P1(f317(x52851,f317(f90(a1),x52852)))
% 199.17/199.22 [5296]E(f231(x52961,x52962),x52962)+~P1(f317(f317(f225(a89),x52961),x52962))
% 199.17/199.22 [5298]E(f262(x52981,x52982),f72(a89))+~P1(f317(f317(f225(a89),x52982),x52981))
% 199.17/199.22 [5299]E(f168(x52991,x52992),f103(a1))+~P1(f317(f317(f225(a1),x52992),x52991))
% 199.17/199.22 [5300]E(f118(x53001,x53002),f105(a1))+~P1(f317(f317(f225(a1),x53001),x53002))
% 199.17/199.22 [5302]~P109(x53021)+E(f294(x53021,x53022,x53022),f317(f317(f299(x53021),x53022),f179(f907(x53021,a897))))
% 199.17/199.22 [5322]~E(f317(f317(f3(a901),x53221),x53222),f2(a901))+P1(f317(f317(f224(a901),x53221),x53222))
% 199.17/199.22 [5339]~E(x53392,f2(a901))+E(f50(x53391,x53392,f103(x53391)),f317(f317(f141(f902(x53391)),f103(x53391)),f103(f902(x53391))))
% 199.17/199.22 [5343]~P65(x53431)+~P1(f317(f317(f225(x53431),x53432),x53432))
% 199.17/199.22 [5345]~E(f40(a1,x53451,x53452),f2(a1))+E(f40(a1,x53451,f317(f73(a1),x53452)),f2(a1))
% 199.17/199.22 [5347]~E(f40(a1,x53471,x53472),f2(a1))+E(f40(a1,f317(f73(a1),x53471),x53472),f2(a1))
% 199.17/199.22 [5355]E(f317(f293(a901,x53551),f317(a102,x53552)),f179(f907(a901,a897)))+P1(f317(f317(f224(a901),x53551),x53552))
% 199.17/199.22 [5379]E(f129(a901,f317(f293(a901,x53791),x53792)),f103(a901))+P1(f317(f317(f225(a901),x53791),x53792))
% 199.17/199.22 [5385]~E(f317(f29(x53851),f317(f162(x53851),x53852)),f317(f180(f902(x53851)),x53852))+P1(f317(f127(x53851),x53852))
% 199.17/199.22 [5389]~P1(f317(f127(x53891),x53892))+P1(f317(f127(x53891),f317(f157(x53891),x53892)))
% 199.17/199.22 [5390]~P1(f317(f127(x53901),x53902))+P1(f317(f127(x53901),f317(f161(x53901),x53902)))
% 199.17/199.22 [5391]~P1(f317(f127(x53911),x53912))+P1(f317(f127(x53911),f317(f158(x53911),x53912)))
% 199.17/199.22 [5399]P1(f317(x53991,x53992))+~P1(f317(x53991,f317(a95,f343(x53991))))
% 199.17/199.22 [5400]P1(f317(f317(f224(a901),x54002),x54001))+P1(f317(f317(f224(a901),x54001),x54002))
% 199.17/199.22 [5401]P1(f317(f317(f224(a1),x54012),x54011))+P1(f317(f317(f224(a1),x54011),x54012))
% 199.17/199.22 [5406]~P88(x54061)+P1(f317(f317(f224(x54061),x54062),f317(f70(x54061),x54062)))
% 199.17/199.22 [5409]P1(f317(x54091,f371(x54091)))+~P1(f317(x54091,f317(f90(a1),x54092)))
% 199.17/199.22 [5434]E(f317(f317(f3(a901),x54341),x54342),f2(a901))+~P1(f317(f317(f224(a901),x54341),x54342))
% 199.17/199.22 [5435]E(f317(f317(f30(a901),x54351),x54352),f2(a901))+~P1(f317(f317(f225(a901),x54351),x54352))
% 199.17/199.22 [5454]E(f40(a901,x54541,x54542),x54541)+~P1(f317(f317(f225(a901),x54541),x54542))
% 199.17/199.22 [5462]E(f40(a1,x54621,f317(f73(a1),x54622)),f281(x54621,x54622))+P1(f317(f317(f224(a1),f2(a1)),x54622))
% 199.17/199.22 [5475]E(f317(f317(f3(a1),x54751),x54752),f185(x54751,x54752))+~P1(f317(f317(f224(a1),x54752),x54751))
% 199.17/199.22 [5495]P1(f317(f317(f224(a1),f2(a1)),f366(x54951)))+P1(f317(x54951,f317(f90(a1),x54952)))
% 199.17/199.22 [5508]~P126(x55081)+P1(f317(f317(f224(x55081),f2(x55081)),f317(f90(x55081),x55082)))
% 199.17/199.22 [5509]~P88(x55091)+P1(f317(f317(f224(x55091),f2(x55091)),f317(f70(x55091),x55092)))
% 199.17/199.22 [5537]E(f317(f317(f74(a901),x55371),f840(x55372,x55371)),x55372)+~P1(f317(f317(f224(a901),x55371),x55372))
% 199.17/199.22 [5552]E(f294(a1,x55521,x55522),f179(f907(a1,a897)))+~P1(f317(f317(f225(a1),x55522),x55521))
% 199.17/199.22 [5555]~P119(x55551)+E(f317(f317(f75(x55551),f317(f70(x55551),x55552)),f317(f70(x55551),x55552)),f317(f317(f75(x55551),x55552),x55552))
% 199.17/199.22 [5561]E(f129(a901,f317(f293(a901,x55611),f317(a102,x55612))),f103(a901))+P1(f317(f317(f224(a901),x55611),x55612))
% 199.17/199.22 [5562]E(f317(f317(f30(a1),x55621),x55622),f282(x55621,x55622))+~P1(f317(f317(f224(a1),f2(a1)),x55622))
% 199.17/199.22 [5582]P1(f317(f127(x55821),x55822))+~P1(f317(f127(x55821),f317(f157(x55821),x55822)))
% 199.17/199.22 [5583]P1(f317(f127(x55831),x55832))+~P1(f317(f127(x55831),f317(f158(x55831),x55832)))
% 199.17/199.22 [5610]P1(f317(f28(a901),x56101))+P1(f317(f317(f319(a901),f383(x56101,x56102)),x56101))
% 199.17/199.22 [5611]P1(f317(f28(a901),x56111))+P1(f317(f317(f319(a901),f385(x56111,x56112)),x56111))
% 199.17/199.22 [5614]P1(f317(f317(f225(a901),x56142),f317(a102,x56141)))+P1(f317(f317(f225(a901),x56141),x56142))
% 199.17/199.22 [5615]E(f40(a1,x56151,x56152),f281(x56151,x56152))+~P1(f317(f317(f224(a1),f2(a1)),x56152))
% 199.17/199.22 [5618]E(f129(a901,f317(f293(a901,x56181),x56182)),f103(a901))+~P1(f317(f317(f224(a901),x56182),x56181))
% 199.17/199.22 [5619]~P82(x56191)+E(f317(f300(x56191,x56191,f73(x56191)),f317(f292(x56191),x56192)),f317(f272(x56191),f317(f73(x56191),x56192)))
% 199.17/199.22 [5620]~P82(x56201)+E(f317(f300(x56201,x56201,f73(x56201)),f317(f291(x56201),x56202)),f317(f290(x56201),f317(f73(x56201),x56202)))
% 199.17/199.22 [5621]~P82(x56211)+E(f317(f300(x56211,x56211,f73(x56211)),f317(f272(x56211),x56212)),f317(f292(x56211),f317(f73(x56211),x56212)))
% 199.17/199.22 [5622]~P82(x56221)+E(f317(f300(x56221,x56221,f73(x56221)),f317(f290(x56221),x56222)),f317(f291(x56221),f317(f73(x56221),x56222)))
% 199.17/199.22 [5633]E(x56331,f179(f907(x56332,a897)))+P1(f317(f317(f319(x56332),f391(x56331,x56332)),x56331))
% 199.17/199.22 [5634]E(x56341,f179(f907(x56342,a897)))+P1(f317(f317(f319(x56342),f392(x56341,x56342)),x56341))
% 199.17/199.22 [5645]~P1(f317(f317(f225(a901),x56451),x56452))+P1(f317(f317(f224(a901),x56451),x56452))
% 199.17/199.22 [5646]~P1(f317(f317(f225(a1),x56461),x56462))+P1(f317(f317(f224(a1),x56461),x56462))
% 199.17/199.22 [5662]E(f42(x56621,x56622),f317(f317(f242(a1,a1),f2(a1)),x56621))+~P1(f317(f317(f225(a1),x56621),x56622))
% 199.17/199.22 [5664]E(f206(f317(f73(a1),x56641),f317(f73(a1),x56642)),f206(x56641,x56642))+~P1(f317(f317(f225(a1),x56642),f2(a1)))
% 199.17/199.22 [5678]E(x56781,x56782)+~E(f317(a5,f317(a102,f317(a22,x56781))),f317(a5,f317(a102,f317(a22,x56782))))
% 199.17/199.22 [5683]E(f42(x56831,x56832),f317(f317(f242(a1,a1),f2(a1)),x56831))+~P1(f317(f317(f224(a1),x56832),f2(a1)))
% 199.17/199.22 [5712]E(f40(a901,f317(f94(a901),x57121),f317(f94(a901),x57122)),f2(a901))+~P1(f317(a184,f317(f94(a1),x57121)))
% 199.17/199.22 [5726]P1(f317(f317(f224(a1),f2(a1)),f371(x57261)))+~P1(f317(x57261,f317(f90(a1),x57262)))
% 199.17/199.22 [5759]P37(f294(a1,x57591,x57592))+~P1(f317(f317(f224(a1),f2(a1)),x57591))
% 199.17/199.22 [5764]~P1(f317(f28(x57641),x57642))+P1(f317(f28(f907(x57641,a897)),f317(f298(x57641),x57642)))
% 199.17/199.22 [5777]E(f317(f317(f74(a1),x57771),f317(f90(a1),f375(x57772,x57771))),x57772)+~P1(f317(f317(f224(a1),x57771),x57772))
% 199.17/199.22 [5785]P1(f317(f317(f224(a901),x57851),x57852))+P1(f317(f317(f224(a901),f317(a102,x57852)),x57851))
% 199.17/199.22 [5829]E(f317(f317(f30(a901),f317(f94(a901),x58291)),f317(f94(a901),x58292)),f2(a901))+~P1(f317(a184,f317(f94(a1),x58291)))
% 199.17/199.22 [5830]E(f317(f317(f75(a901),f317(f94(a901),x58301)),f317(f94(a901),x58302)),f2(a901))+~P1(f317(f317(f225(a1),x58301),a77))
% 199.17/199.22 [5832]P1(f317(f317(f224(a901),x58321),f317(a102,x58322)))+~P1(f317(f317(f224(a901),x58321),x58322))
% 199.17/199.22 [5834]P1(f317(f317(f225(a901),x58341),f317(a102,x58342)))+~P1(f317(f317(f224(a901),x58341),x58342))
% 199.17/199.22 [5836]P1(f317(f317(f225(a901),x58361),f317(a102,x58362)))+~P1(f317(f317(f225(a901),x58361),x58362))
% 199.17/199.22 [5839]~E(x58391,x58392)+P1(f317(f317(f225(a1),x58391),f317(f317(f74(a1),x58392),f72(a1))))
% 199.17/199.22 [5842]E(f40(a1,x58421,x58422),f2(a1))+E(f317(f317(f3(a1),x58422),f40(a1,x58421,x58422)),f40(a1,f317(f73(a1),x58421),x58422))
% 199.17/199.22 [5851]E(x58511,f103(x58512))+P1(f317(f317(f319(x58512),f134(x58512,x58511)),f317(f162(x58512),x58511)))
% 199.17/199.22 [5863]E(f79(f906(a901,a901),f43(x58631,x58632)),f317(f317(f242(a901,a901),f2(a901)),x58631))+~P1(f317(f317(f225(a901),x58631),x58632))
% 199.17/199.22 [5907]E(f317(f317(f3(a901),f317(f94(a901),x59071)),f317(f94(a901),x59072)),f317(f94(a901),x59071))+~P1(f317(f317(f225(a1),x59072),a77))
% 199.17/199.22 [5908]E(f317(f317(f74(a901),f317(f94(a901),x59081)),f317(f94(a901),x59082)),f317(f94(a901),x59082))+~P1(f317(f317(f225(a1),x59081),a77))
% 199.17/199.22 [5915]E(f317(a102,f317(f317(f74(a901),x59151),f886(x59152,x59151))),x59152)+~P1(f317(f317(f225(a901),x59151),x59152))
% 199.17/199.22 [5939]P1(f317(x59391,x59392))+~P1(f317(x59391,f317(a83,f558(x59392,x59391))))
% 199.17/199.22 [5940]P1(f317(x59401,x59402))+~P1(f317(x59401,f317(a5,f799(x59402,x59401))))
% 199.17/199.22 [5949]~P1(f317(f317(f225(a901),x59491),f317(a102,x59492)))+P1(f317(f317(f224(a901),x59491),x59492))
% 199.17/199.22 [5999]E(f317(f317(f299(a901),x59991),f317(f293(a901,x59992),x59991)),f317(f293(a901,x59992),f317(a102,x59991)))+~P1(f317(f317(f224(a901),x59992),x59991))
% 199.17/199.22 [6002]E(x60021,f103(x60022))+E(f317(f317(f124(x60022),f104(x60022,x60021)),f317(f317(f141(x60022),f134(x60022,x60021)),f103(x60022))),x60021)
% 199.17/199.22 [6018]P1(f317(f28(x60181),x60182))+~P1(f317(f317(f225(a901),f2(a901)),f317(f29(x60181),x60182)))
% 199.17/199.22 [6022]~E(x60221,f179(f907(x60222,a897)))+~P1(f317(f317(f225(a901),f2(a901)),f317(f29(x60222),x60221)))
% 199.17/199.22 [6034]~P1(f317(f317(f225(a901),x60341),x60342))+P1(f317(f317(f224(a901),f317(a102,x60341)),x60342))
% 199.17/199.22 [6038]~P108(x60381)+E(f140(x60381,x60381,f7(x60381),f142(x60381,x60382)),f129(x60381,f317(f162(x60381),x60382)))
% 199.17/199.22 [6041]E(x60411,f103(x60412))+P1(f317(f317(f319(x60412),f317(f131(x60412),x60411)),f317(f162(x60412),x60411)))
% 199.17/199.22 [6047]~P126(x60471)+P1(f317(f317(f225(x60471),x60472),f317(f317(f74(x60471),x60472),f72(x60471))))
% 199.17/199.22 [6049]~P88(x60491)+P1(f317(f317(f224(x60491),f317(f73(x60491),x60492)),f317(f70(x60491),x60492)))
% 199.17/199.22 [6063]~E(x60631,x60632)+E(f279(a901,f276(a901),x60631,x60632),f317(f317(f299(a901),x60631),f179(f907(a901,a897))))
% 199.17/199.22 [6081]P1(f317(f28(a901),x60811))+~P1(f317(f317(f224(a901),f383(x60811,x60812)),x60812))
% 199.17/199.22 [6082]P1(f317(f28(a901),x60821))+~P1(f317(f317(f225(a901),f385(x60821,x60822)),x60822))
% 199.17/199.22 [6085]~P1(f317(f28(f906(x60851,x60851)),x60852))+P1(f317(f28(x60851),f317(f271(x60851),x60852)))
% 199.17/199.22 [6139]E(f279(a901,f276(a901),x61391,x61392),f179(f907(a901,a897)))+P1(f317(f317(f276(a901),x61391),x61392))
% 199.17/199.22 [6142]~P1(f317(f317(f225(a901),x61422),f317(a102,x61421)))+~P1(f317(f317(f225(a901),x61421),x61422))
% 199.17/199.22 [6143]~P109(x61431)+E(f317(f317(f92(f907(x61431,a897)),f317(f292(x61431),x61432)),f317(f272(x61431),x61432)),f317(f317(f299(x61431),x61432),f179(f907(x61431,a897))))
% 199.17/199.22 [6155]P1(f317(f28(x61551),x61552))+~P1(f317(f28(f907(x61551,a897)),f317(f298(x61551),x61552)))
% 199.17/199.22 [6177]P1(f317(f317(f224(a901),f317(a102,x61771)),f317(a102,x61772)))+~P1(f317(f317(f224(a901),x61771),x61772))
% 199.17/199.22 [6178]P1(f317(f317(f224(a901),f317(a22,x61781)),f317(a22,x61782)))+~P1(f317(f317(f224(a89),x61781),x61782))
% 199.17/199.22 [6179]P1(f317(f317(f224(a89),f317(a5,x61791)),f317(a5,x61792)))+~P1(f317(f317(f224(a901),x61791),x61792))
% 199.17/199.22 [6181]P1(f317(f317(f225(a901),f317(a102,x61811)),f317(a102,x61812)))+~P1(f317(f317(f225(a901),x61811),x61812))
% 199.17/199.22 [6182]P1(f317(f317(f225(a901),f317(a22,x61821)),f317(a22,x61822)))+~P1(f317(f317(f225(a89),x61821),x61822))
% 199.17/199.22 [6183]P1(f317(f317(f225(a89),f317(a5,x61831)),f317(a5,x61832)))+~P1(f317(f317(f225(a901),x61831),x61832))
% 199.17/199.22 [6188]E(x61881,x61882)+~E(f317(f300(a901,a1,f90(a1)),x61881),f317(f300(a901,a1,f90(a1)),x61882))
% 199.17/199.22 [6204]P1(f317(f317(f224(a901),x62041),x62042))+~P1(f317(f317(f224(a901),f317(a102,x62041)),x62042))
% 199.17/199.22 [6207]P1(f317(f317(f225(a901),x62071),x62072))+~P1(f317(f317(f224(a901),f317(a102,x62071)),x62072))
% 199.17/199.22 [6208]P1(f317(f317(f225(a901),x62081),x62082))+~P1(f317(f317(f225(a901),f317(a102,x62081)),x62082))
% 199.17/199.22 [6228]E(f40(a1,x62281,x62282),f2(a1))+E(f317(f317(f3(a1),f40(a1,x62281,x62282)),x62282),f40(a1,x62281,f317(f73(a1),x62282)))
% 199.17/199.22 [6294]E(f317(f29(f907(x62941,a897)),f317(f298(x62941),x62942)),f317(f317(f234(a901),f317(a102,f317(a102,f2(a901)))),f317(f29(x62941),x62942)))+~P1(f317(f28(x62941),x62942))
% 199.17/199.22 [6297]E(x62971,f103(x62972))+E(f317(f317(f154(x62972),x62971),f317(f317(f3(a901),f317(f180(f902(x62972)),x62971)),f72(a901))),f134(x62972,x62971))
% 199.17/199.22 [6319]E(x63191,f103(x63192))+E(f317(f317(f124(x63192),f317(f161(x63192),x63191)),f317(f317(f141(x63192),f317(f131(x63192),x63191)),f103(x63192))),f317(f157(x63192),x63191))
% 199.17/199.22 [6352]~P1(f317(f28(x63521),f31(f907(x63521,a897),x63522)))+P1(f317(f28(f907(x63521,a897)),x63522))
% 199.17/199.22 [6374]P1(f317(f317(f224(a901),f317(f94(a901),x63741)),f317(f94(a901),x63742)))+~P1(f317(f317(f224(a1),x63741),a77))
% 199.17/199.22 [6397]~P1(f317(f317(f225(a1),x63971),x63972))+P1(f317(f317(f224(a1),x63971),f317(f317(f3(a1),x63972),f72(a1))))
% 199.17/199.22 [6398]~P1(f317(f317(f224(a1),x63981),x63982))+P1(f317(f317(f225(a1),x63981),f317(f317(f74(a1),x63982),f72(a1))))
% 199.17/199.22 [6399]~P1(f317(f317(f225(a1),x63991),x63992))+P1(f317(f317(f225(a1),x63991),f317(f317(f74(a1),x63992),f72(a1))))
% 199.17/199.22 [6401]~P1(f317(f317(f224(a1),x64011),x64012))+P1(f317(f317(f224(a901),f317(f94(a901),x64011)),f317(f94(a901),x64012)))
% 199.17/199.22 [6402]~P1(f317(f317(f224(a1),x64021),x64022))+P1(f317(f317(f224(a1),f317(f94(a1),x64021)),f317(f94(a1),x64022)))
% 199.17/199.22 [6404]~P1(f317(f317(f224(a901),x64041),x64042))+P1(f317(f317(f224(a1),f317(f90(a1),x64041)),f317(f90(a1),x64042)))
% 199.17/199.22 [6405]~P1(f317(f317(f225(a1),x64051),x64052))+P1(f317(f317(f225(a1),f317(f94(a1),x64051)),f317(f94(a1),x64052)))
% 199.17/199.22 [6407]~P1(f317(f317(f225(a901),x64071),x64072))+P1(f317(f317(f225(a1),f317(f90(a1),x64071)),f317(f90(a1),x64072)))
% 199.17/199.22 [6427]~P1(f317(f317(f224(a901),x64271),x64272))+~P1(f317(f317(f224(a901),f317(a102,x64272)),x64271))
% 199.17/199.22 [6468]~P1(f317(f317(f224(a901),f317(a102,x64681)),f317(a102,x64682)))+P1(f317(f317(f224(a901),x64681),x64682))
% 199.17/199.22 [6469]~P1(f317(f317(f224(a89),f317(a5,x64691)),f317(a5,x64692)))+P1(f317(f317(f224(a901),x64691),x64692))
% 199.17/199.22 [6470]~P1(f317(f317(f224(a901),f317(a22,x64701)),f317(a22,x64702)))+P1(f317(f317(f224(a89),x64701),x64702))
% 199.17/199.22 [6472]~P1(f317(f317(f225(a901),f317(a102,x64721)),f317(a102,x64722)))+P1(f317(f317(f225(a901),x64721),x64722))
% 199.17/199.22 [6473]~P1(f317(f317(f225(a89),f317(a5,x64731)),f317(a5,x64732)))+P1(f317(f317(f225(a901),x64731),x64732))
% 199.17/199.22 [6474]~P1(f317(f317(f225(a901),f317(a95,x64741)),f317(a95,x64742)))+P1(f317(f317(f225(a1),x64741),x64742))
% 199.17/199.22 [6475]~P1(f317(f317(f225(a901),f317(a22,x64751)),f317(a22,x64752)))+P1(f317(f317(f225(a89),x64751),x64752))
% 199.17/199.22 [6517]~P1(f317(f317(f225(a901),f317(a95,x65172)),f317(a95,x65171)))+P1(f317(f317(f225(a1),f2(a1)),x65171))
% 199.17/199.22 [6548]P1(f317(f317(f224(a1),f2(a1)),f40(a1,x65481,x65482)))+~P1(f317(f317(f225(a1),f2(a1)),x65482))
% 199.17/199.22 [6711]P34(x67111,x67112)+~E(f317(f317(f278(x67111,x67111,x67111),x67112),x67112),f179(f907(f906(x67111,x67111),a897)))
% 199.17/199.22 [6727]~P34(x67271,x67272)+P34(x67271,f317(f317(f278(x67271,x67271,x67271),x67272),x67272))
% 199.17/199.22 [6738]P1(f317(f317(f224(a1),x67381),x67382))+~P1(f317(f317(f225(a1),x67381),f317(f317(f74(a1),x67382),f72(a1))))
% 199.17/199.22 [6739]P1(f317(f317(f225(a1),x67391),x67392))+~P1(f317(f317(f224(a1),x67391),f317(f317(f3(a1),x67392),f72(a1))))
% 199.17/199.22 [6742]P1(f317(f317(f224(a901),x67421),x67422))+~P1(f317(f317(f224(a1),f317(f90(a1),x67421)),f317(f90(a1),x67422)))
% 199.17/199.22 [6743]P1(f317(f317(f224(a1),x67431),x67432))+~P1(f317(f317(f224(a1),f317(f94(a1),x67431)),f317(f94(a1),x67432)))
% 199.17/199.22 [6745]P1(f317(f317(f225(a901),x67451),x67452))+~P1(f317(f317(f225(a1),f317(f90(a1),x67451)),f317(f90(a1),x67452)))
% 199.17/199.22 [6746]P1(f317(f317(f225(a1),x67461),x67462))+~P1(f317(f317(f225(a901),f317(f94(a901),x67461)),f317(f94(a901),x67462)))
% 199.17/199.22 [6747]P1(f317(f317(f225(a1),x67471),x67472))+~P1(f317(f317(f225(a1),f317(f94(a1),x67471)),f317(f94(a1),x67472)))
% 199.17/199.22 [6820]~E(f279(a901,f276(a901),x68201,x68202),f179(f907(a901,a897)))+~P1(f317(f317(f276(a901),x68201),x68202))
% 199.17/199.22 [6847]~E(f678(x68472,x68471),f103(x68471))+E(f317(f132(f902(x68471),f902(x68471),f124(x68471),f103(x68471)),x68472),f103(x68471))
% 199.17/199.22 [6848]~E(f684(x68482,x68481),f103(x68481))+E(f317(f132(f902(x68481),f902(x68481),f124(x68481),f103(x68481)),x68482),f103(x68481))
% 199.17/199.22 [6852]~P3(x68521)+E(f317(f132(x68521,x68521,f91(x68521),f179(x68521)),x68522),f31(x68521,f317(f162(x68521),x68522)))
% 199.17/199.22 [6853]~P3(x68531)+E(f317(f132(x68531,x68531,f92(x68531),f232(x68531)),x68532),f32(x68531,f317(f162(x68531),x68532)))
% 199.17/199.22 [6867]E(x68671,f2(a89))+E(f317(f317(f74(a901),f317(a22,f317(f317(f3(a89),x68671),f72(a89)))),f317(a102,x68672)),f317(f317(f74(a901),f317(a22,x68671)),x68672))
% 199.17/199.22 [6911]P1(f317(f317(f225(a1),f317(f317(f3(a1),x69111),x69112)),f2(a1)))+~P1(f317(f317(f225(a1),x69111),x69112))
% 199.17/199.22 [6933]~P108(x69331)+E(f317(f317(f91(f907(x69331,a897)),f317(f317(f299(x69331),x69332),f179(f907(x69331,a897)))),f317(f291(x69331),x69332)),f317(f272(x69331),x69332))
% 199.17/199.22 [7012]~P57(x70121,x70122)+P34(x70121,f317(f252(f906(x70121,x70121)),f317(f247(x70121,x70121,a897),x70122)))
% 199.17/199.22 [7013]~P57(x70131,x70132)+P55(x70131,f317(f252(f906(x70131,x70131)),f317(f247(x70131,x70131,a897),x70132)))
% 199.17/199.22 [7014]~P47(x70141,x70142)+P35(x70141,f317(f252(f906(x70141,x70141)),f317(f247(x70141,x70141,a897),x70142)))
% 199.17/199.22 [7015]~P48(x70151,x70152)+P49(x70151,f317(f252(f906(x70151,x70151)),f317(f247(x70151,x70151,a897),x70152)))
% 199.17/199.22 [7016]E(x70161,f179(f907(x70162,a897)))+~P1(f317(f317(f224(f907(x70162,a897)),x70161),f179(f907(x70162,a897))))
% 199.17/199.22 [7101]~P1(f317(f317(f225(a901),f2(a901)),x71012))+P1(f317(f317(f224(a901),f40(a901,x71011,x71012)),x71012))
% 199.17/199.22 [7102]~P1(f317(f317(f224(a1),f2(a1)),x71021))+P1(f317(f317(f224(a1),f40(a1,x71021,x71022)),x71021))
% 199.17/199.22 [7103]~P1(f317(f317(f225(a901),f2(a901)),x71032))+P1(f317(f317(f225(a901),f40(a901,x71031,x71032)),x71032))
% 199.17/199.22 [7105]~P1(f317(f317(f225(a1),f2(a1)),x71052))+P1(f317(f317(f225(a1),f40(a1,x71051,x71052)),x71052))
% 199.17/199.22 [7181]~P109(x71811)+E(f317(f317(f3(f907(x71811,a897)),f317(f317(f299(x71811),x71812),f179(f907(x71811,a897)))),f317(f290(x71811),x71812)),f317(f317(f299(x71811),x71812),f179(f907(x71811,a897))))
% 199.17/199.22 [7255]~P40(x72551,x72552)+P50(x72551,f232(f907(x72551,a897)),f317(f252(f906(x72551,x72551)),f317(f247(x72551,x72551,a897),x72552)))
% 199.17/199.22 [7256]P1(f317(x72561,x72562))+P1(f317(f317(f319(f907(f906(a901,a901),a897)),f558(x72562,x72561)),a88))
% 199.17/199.22 [7299]E(f317(f317(f124(a901),f129(a901,f317(f293(a901,x72991),x72992))),f317(f317(f141(a901),x72992),f103(a901))),f129(a901,f317(f293(a901,x72991),f317(a102,x72992))))+~P1(f317(f317(f224(a901),x72991),x72992))
% 199.17/199.22 [7442]E(x74421,f2(a901))+~E(f317(f132(a901,a901,f74(a901),x74421),x74422),f2(a901))
% 199.17/199.22 [7467]~P1(f317(f317(f225(a1),f317(f317(f3(a1),x74671),x74672)),f2(a1)))+P1(f317(f317(f225(a1),x74671),x74672))
% 199.17/199.22 [7495]P34(x74951,x74952)+~P34(x74951,f317(f317(f278(x74951,x74951,x74951),x74952),x74952))
% 199.17/199.22 [7520]~P1(f317(f317(f224(a901),f317(a102,x75201)),x75202))+P1(f175(a897,a229,f317(f224(a901),x75201),x75202))
% 199.17/199.22 [7674]P22(a901,a901,f317(f317(f9(a901,a901,a901),f3(a901)),x76741),x76742)+P1(f317(f317(f319(a901),f570(x76741,x76742)),x76742))
% 199.17/199.22 [7730]E(f317(f317(f317(f59(a901,x77301,f74(a901)),f317(f18(a901,x77301),f72(a901))),f2(a901)),x77302),f317(f29(x77301),x77302))+~P1(f317(f28(x77301),x77302))
% 199.17/199.22 [7772]P22(a901,a901,f317(f317(f9(a901,a901,a901),f3(a901)),x77721),x77722)+~P1(f317(f317(f224(a901),x77721),f570(x77721,x77722)))
% 199.17/199.22 [7827]P34(x78271,x78272)+P1(f317(f317(f224(f907(x78271,a897)),f567(x78272,x78271)),f317(f274(x78271,x78271,x78272),f567(x78272,x78271))))
% 199.17/199.22 [7832]P57(x78321,x78322)+~P34(x78321,f317(f252(f906(x78321,x78321)),f317(f247(x78321,x78321,a897),x78322)))
% 199.17/199.22 [7833]P47(x78331,x78332)+~P35(x78331,f317(f252(f906(x78331,x78331)),f317(f247(x78331,x78331,a897),x78332)))
% 199.17/199.22 [7834]P48(x78341,x78342)+~P49(x78341,f317(f252(f906(x78341,x78341)),f317(f247(x78341,x78341,a897),x78342)))
% 199.17/199.22 [7905]P1(f317(f317(f224(a901),f317(a102,x79051)),x79052))+~P1(f175(a897,a229,f317(f224(a901),x79051),x79052))
% 199.17/199.22 [7964]P1(f317(f317(f319(f906(a901,a901)),f317(f317(f242(a901,a901),x79641),x79642)),f297(a901,a307)))+~P1(f317(f317(f224(a901),x79641),x79642))
% 199.17/199.22 [8052]P40(x80521,x80522)+~P50(x80521,f232(f907(x80521,a897)),f317(f252(f906(x80521,x80521)),f317(f247(x80521,x80521,a897),x80522)))
% 199.17/199.22 [8105]~P1(f317(f127(x81051),x81052))+P1(f317(f127(f907(x81051,a897)),f317(f317(f144(f902(x81051),f907(x81051,a897)),f162(x81051)),f49(x81051,x81052))))
% 199.17/199.22 [8312]~P34(x83121,f317(f275(x83121,x83121),x83122))+P34(x83121,f317(f275(x83121,x83121),f317(f317(f278(x83121,x83121,x83121),x83122),f297(x83121,x83122))))
% 199.17/199.22 [8322]P149(x83221,f317(f317(f299(a896),f317(a911,x83222)),f179(f907(a896,a897))))+~P149(f317(f317(f299(a896),f317(a911,x83222)),x83221),f317(f317(f299(a896),f912(f223(a898,f33(x83222)))),f179(f907(a896,a897))))
% 199.17/199.22 [8408]P23(x84081,a901,f803(x84082,x84081),x84082,f317(f293(a901,f2(a901)),f317(f29(x84081),x84082)))+~P1(f317(f28(x84081),x84082))
% 199.17/199.22 [8409]P23(a901,x84091,f804(x84092,x84091),f317(f293(a901,f2(a901)),f317(f29(x84091),x84092)),x84092)+~P1(f317(f28(x84091),x84092))
% 199.17/199.22 [8426]P23(a901,x84261,f805(x84262,x84261),f294(a901,f72(a901),f317(f29(x84261),x84262)),x84262)+~P1(f317(f28(x84261),x84262))
% 199.17/199.22 [8436]P1(f317(f28(f906(x84361,x84361)),f317(f317(f278(x84361,x84361,x84361),x84362),f297(x84361,x84362))))+~P1(f317(f28(f906(x84361,x84361)),x84362))
% 199.17/199.22 [8460]E(x84601,f2(a1))+P1(f317(f44(x84602,x84601),f317(f317(f242(a1,a1),f317(f317(f30(a1),x84602),x84601)),f40(a1,x84602,x84601))))
% 199.17/199.22 [8473]~P1(f317(f317(f319(f906(a901,a901)),f317(f317(f242(a901,a901),x84731),x84732)),f297(a901,a307)))+P1(f317(f317(f224(a901),x84731),x84732))
% 199.17/199.22 [8490]~P85(x84901)+E(f317(f132(x84901,x84901,f317(f9(x84901,x84901,x84901),f74(x84901)),f2(x84901)),f317(f158(x84901),x84902)),f317(f132(x84901,x84901,f74(x84901),f2(x84901)),x84902))
% 199.17/199.22 [8661]~P108(x86611)+E(f317(f132(f902(x86611),x86611,f317(f9(x86611,f902(x86611),f902(x86611)),f138(x86611,x86611,f7(x86611))),f103(x86611)),x86612),f140(x86611,x86611,f7(x86611),x86612))
% 199.17/199.22 [8766]~P55(x87661,f317(f252(f906(x87661,x87661)),f317(f247(x87661,x87661,a897),x87662)))+P55(x87661,f317(f252(f906(x87661,x87661)),f317(f247(x87661,x87661,a897),f233(x87661,x87661,x87662))))
% 199.17/199.22 [8780]P1(f317(f317(f319(f906(a901,a901)),f317(f317(f242(a901,a901),x87801),x87802)),f317(f317(f278(a901,a901,a901),a307),f297(a901,a307))))+~P1(f317(f317(f225(a901),x87801),x87802))
% 199.17/199.22 [8824]~P1(f317(f28(f906(x88241,x88241)),f317(f317(f278(x88241,x88241,x88241),x88242),f297(x88241,x88242))))+P1(f317(f28(f906(x88241,x88241)),x88242))
% 199.17/199.22 [8881]~P55(x88811,f317(f252(f906(x88811,x88811)),f317(f247(x88811,x88811,a897),f233(x88811,x88811,x88812))))+P55(x88811,f317(f252(f906(x88811,x88811)),f317(f247(x88811,x88811,a897),x88812)))
% 199.17/199.22 [9083]P55(x90831,x90832)+P1(f317(f317(f319(f906(x90831,x90831)),f317(f317(f242(x90831,x90831),f597(x90832,x90831)),f597(x90832,x90831))),f317(f317(f278(x90831,x90831,x90831),x90832),f297(x90831,x90832))))
% 199.17/199.22 [9084]P55(x90841,x90842)+P1(f317(f317(f319(f906(x90841,x90841)),f317(f317(f242(x90841,x90841),f599(x90842,x90841)),f599(x90842,x90841))),f317(f317(f278(x90841,x90841,x90841),x90842),f297(x90841,x90842))))
% 199.17/199.22 [9188]~P1(f317(f317(f319(f906(a901,a901)),f317(f317(f242(a901,a901),x91881),x91882)),f317(f317(f278(a901,a901,a901),a307),f297(a901,a307))))+P1(f317(f317(f225(a901),x91881),x91882))
% 199.17/199.22 [5149]~P97(x51491)+E(f317(f317(f74(x51491),f317(f94(x51491),a77)),x51492),x51492)
% 199.17/199.22 [5179]~P89(x51791)+E(f317(f317(f91(x51791),f317(f73(x51791),x51792)),x51792),f232(x51791))
% 199.17/199.22 [5180]~P89(x51801)+E(f317(f317(f92(x51801),f317(f73(x51801),x51802)),x51802),f179(x51801))
% 199.17/199.22 [5181]~P71(x51811)+E(f317(f317(f74(x51811),f317(f73(x51811),x51812)),x51812),f2(x51811))
% 199.17/199.22 [5182]~P78(x51821)+E(f317(f317(f74(x51821),f317(f73(x51821),x51822)),x51822),f2(x51821))
% 199.17/199.22 [5214]~P97(x52141)+E(f317(f317(f75(x52141),f317(f94(x52141),a87)),x52142),f317(f73(x52141),x52142))
% 199.17/199.22 [5371]~P113(x53711)+E(f317(f317(f75(x53711),f317(f73(x53711),f72(x53711))),x53712),f317(f73(x53711),x53712))
% 199.17/199.22 [5418]E(f317(f70(a1),x54181),f72(a1))+~E(f317(f70(a1),f317(f317(f75(a1),x54181),x54182)),f72(a1))
% 199.17/199.22 [5511]~P97(x55111)+E(f317(f317(f74(x55111),f72(x55111)),f317(f94(x55111),x55112)),f317(f94(x55111),f317(f317(f3(a1),x55112),a87)))
% 199.17/199.22 [5563]~P108(x55631)+E(f16(x55631,f317(f317(f299(x55631),x55632),f179(f907(x55631,a897)))),x55632)
% 199.17/199.22 [5564]~P108(x55641)+E(f17(x55641,f317(f317(f299(x55641),x55642),f179(f907(x55641,a897)))),x55642)
% 199.17/199.22 [5565]~P68(x55651)+E(f12(x55651,f317(f317(f299(x55651),x55652),f179(f907(x55651,a897)))),x55652)
% 199.17/199.22 [5566]~P3(x55661)+E(f31(x55661,f317(f317(f299(x55661),x55662),f179(f907(x55661,a897)))),x55662)
% 199.17/199.22 [5567]~P68(x55671)+E(f13(x55671,f317(f317(f299(x55671),x55672),f179(f907(x55671,a897)))),x55672)
% 199.17/199.22 [5568]~P3(x55681)+E(f32(x55681,f317(f317(f299(x55681),x55682),f179(f907(x55681,a897)))),x55682)
% 199.17/199.22 [5590]E(f317(f317(f74(a901),x55901),f317(f317(f3(a901),x55902),x55901)),x55902)+P1(f317(f317(f225(a901),x55902),x55901))
% 199.17/199.22 [5628]E(x56281,f103(x56282))+P1(f317(f317(f225(a901),f2(a901)),f317(f180(f902(x56282)),x56281)))
% 199.17/199.22 [5756]~P108(x57561)+E(f14(x57561,f178(x57561),f317(f317(f299(x57561),x57562),f179(f907(x57561,a897)))),x57562)
% 199.17/199.22 [5757]~P108(x57571)+E(f15(x57571,f228(x57571),f317(f317(f299(x57571),x57572),f179(f907(x57571,a897)))),x57572)
% 199.17/199.22 [5818]E(f317(f317(f3(a901),x58181),f317(f317(f3(a901),x58181),x58182)),x58182)+~P1(f317(f317(f224(a901),x58182),x58181))
% 199.17/199.22 [5819]E(f317(f317(f74(a901),x58191),f317(f317(f3(a901),x58192),x58191)),x58192)+~P1(f317(f317(f224(a901),x58191),x58192))
% 199.17/199.22 [5841]E(f40(a901,f317(f317(f3(a901),x58411),x58412),x58412),f40(a901,x58411,x58412))+P1(f317(f317(f225(a901),x58411),x58412))
% 199.17/199.22 [5852]E(f317(f73(a1),f317(f317(f30(a1),x58521),f317(f73(a1),x58522))),f282(x58521,x58522))+P1(f317(f317(f224(a1),f2(a1)),x58522))
% 199.17/199.22 [5854]~E(x58542,f2(a901))+P1(f317(f317(f225(a901),f2(a901)),f317(f317(f234(a901),x58541),x58542)))
% 199.17/199.22 [5917]~P97(x59171)+E(f317(f317(f74(x59171),f317(f73(x59171),f72(x59171))),f317(f94(x59171),x59172)),f317(f94(x59171),f317(f317(f74(a1),x59172),a87)))
% 199.17/199.22 [5919]E(f317(f317(f234(a901),f317(f94(a901),x59191)),x59192),f317(f317(f234(a901),f2(a901)),x59192))+~P1(f317(a184,f317(f94(a1),x59191)))
% 199.17/199.22 [6026]E(f317(f131(a901),f129(a901,f317(f293(a901,x60261),x60262))),x60261)+~P1(f317(f317(f225(a901),x60261),x60262))
% 199.17/199.22 [6042]E(f317(f317(f75(a901),f317(f94(a901),x60421)),f317(f94(a901),x60422)),f317(f94(a901),f317(f317(f75(a1),x60421),x60422)))+P1(f317(f317(f225(a1),x60421),a77))
% 199.17/199.22 [6048]~P127(x60481)+P1(f317(f317(f224(x60481),f2(x60481)),f317(f317(f75(x60481),x60482),x60482)))
% 199.17/199.22 [6060]E(f317(f317(f3(a901),f317(a102,x60601)),x60602),f317(a102,f317(f317(f3(a901),x60601),x60602)))+~P1(f317(f317(f224(a901),x60602),x60601))
% 199.17/199.22 [6064]E(f40(a901,f317(f317(f3(a901),x60641),x60642),x60642),f40(a901,x60641,x60642))+~P1(f317(f317(f224(a901),x60642),x60641))
% 199.17/199.22 [6116]E(f317(f317(f234(a901),f317(a95,x61161)),x61162),f317(a95,f317(f317(f234(a1),x61161),x61162)))+~P1(f317(f317(f224(a1),f2(a1)),x61161))
% 199.17/199.22 [6134]P1(f317(f127(x61341),x61342))+P1(f317(f317(f225(a901),f648(x61342,x61341)),f317(f180(f902(x61341)),x61342)))
% 199.17/199.22 [6135]P1(f317(f127(x61351),x61352))+P1(f317(f317(f225(a901),f652(x61352,x61351)),f317(f180(f902(x61351)),x61352)))
% 199.17/199.22 [6149]~E(x61491,f103(x61492))+~P1(f317(f317(f225(a901),f2(a901)),f317(f180(f902(x61492)),x61491)))
% 199.17/199.22 [6160]E(f134(a901,f129(a901,f317(f293(a901,x61601),x61602))),f317(f317(f3(a901),x61602),f72(a901)))+~P1(f317(f317(f225(a901),x61601),x61602))
% 199.17/199.22 [6163]E(f317(f317(f74(a1),x61631),f317(f90(a1),f317(a102,f376(x61632,x61631)))),x61632)+~P1(f317(f317(f225(a1),x61631),x61632))
% 199.17/199.22 [6170]E(x61701,f2(a901))+E(f317(f317(f75(a901),x61702),f317(f317(f234(a901),x61702),f317(f317(f3(a901),x61701),f72(a901)))),f317(f317(f234(a901),x61702),x61701))
% 199.17/199.22 [6198]E(f317(f317(f75(a901),f317(a95,x61981)),f317(a95,x61982)),f317(a95,f317(f317(f75(a1),x61981),x61982)))+~P1(f317(f317(f224(a1),f2(a1)),x61981))
% 199.17/199.22 [6199]E(f317(f317(f30(a901),f317(a95,x61991)),f317(a95,x61992)),f317(a95,f317(f317(f30(a1),x61991),x61992)))+~P1(f317(f317(f224(a1),f2(a1)),x61991))
% 199.17/199.22 [6214]~P118(x62141)+E(f317(f317(f74(x62141),x62142),x62142),f317(f317(f75(x62141),f317(f317(f74(x62141),f72(x62141)),f72(x62141))),x62142))
% 199.17/199.22 [6239]E(f317(f317(f3(a1),f317(f90(a1),x62391)),f317(f90(a1),x62392)),f317(f90(a1),f317(f317(f3(a901),x62391),x62392)))+~P1(f317(f317(f224(a901),x62392),x62391))
% 199.17/199.22 [6241]E(f317(f317(f242(a1,a1),f317(f94(a1),a87)),f317(f317(f74(a1),x62411),x62412)),f45(x62411,x62412))+~P1(f317(f317(f224(a1),x62412),f2(a1)))
% 199.17/199.22 [6271]E(f169(x62711,x62712),f103(f902(x62711)))+P1(f317(f317(f319(f902(x62711)),f647(x62712,x62711)),f317(f162(f902(x62711)),x62712)))
% 199.17/199.22 [6281]E(f106(a1,f317(f119(a1),x62811),f118(x62812,f317(f317(f74(a1),x62811),f72(a1)))),f118(x62812,x62811))+P1(f317(f317(f225(a1),x62812),x62811))
% 199.17/199.22 [6336]~P1(f317(f317(f276(a901),x63361),x63362))+P1(f317(f317(f276(a901),x63361),f317(f317(f74(a901),x63362),x63361)))
% 199.17/199.22 [6358]E(f317(f317(f141(a1),x63581),f168(f317(f317(f74(a1),x63581),f72(a1)),x63582)),f168(x63581,x63582))+~P1(f317(f317(f224(a1),x63581),x63582))
% 199.17/199.22 [6380]P149(x63801,x63802)+~P1(f317(f317(f224(f907(a896,a897)),x63802),x63801))
% 199.17/199.22 [6400]~P1(f317(f317(f225(a901),x64002),x64001))+P1(f317(f317(f225(a901),f2(a901)),f317(f317(f3(a901),x64001),x64002)))
% 199.17/199.22 [6430]~P1(f317(f317(f225(a901),x64301),f317(a95,x64302)))+P1(f317(f317(f225(a1),f317(f90(a1),x64301)),x64302))
% 199.17/199.22 [6459]~P108(x64591)+E(f317(f317(f91(f907(x64591,a897)),f317(f290(x64591),x64592)),f317(f317(f299(x64591),x64592),f179(f907(x64591,a897)))),f317(f292(x64591),x64592))
% 199.17/199.22 [6460]~P1(f317(f317(f224(a1),f2(a1)),x64601))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f234(a1),x64601),x64602)))
% 199.17/199.22 [6463]~P1(f317(f317(f225(a901),f2(a901)),x64631))+P1(f317(f317(f225(a901),f2(a901)),f317(f317(f234(a901),x64631),x64632)))
% 199.17/199.22 [6490]~E(f317(x64901,f2(a901)),f2(a901))+E(f317(f317(f8(a901,a901),x64901),f294(a901,f317(a102,f2(a901)),x64902)),f317(f317(f8(a901,a901),x64901),f294(a901,f2(a901),x64902)))
% 199.17/199.22 [6575]E(f317(f317(f299(a1),x65751),f294(a1,f317(f317(f74(a1),x65751),f72(a1)),x65752)),f294(a1,x65751,x65752))+P1(f317(f317(f225(a1),x65752),x65751))
% 199.17/199.22 [6576]P1(f317(f317(f225(a901),x65761),f317(a95,x65762)))+~P1(f317(f317(f225(a1),f317(f90(a1),x65761)),x65762))
% 199.17/199.22 [6674]P1(f317(f317(f276(a901),x66741),x66742))+~P1(f317(f317(f276(a901),x66741),f317(f317(f74(a901),x66742),x66741)))
% 199.17/199.22 [6680]E(f317(a95,f317(f317(f30(a1),f317(f94(a1),x66801)),f317(f94(a1),x66802))),f317(f317(f30(a901),f317(f94(a901),x66801)),f317(f94(a901),x66802)))+P1(f317(a184,f317(f94(a1),x66801)))
% 199.17/199.22 [6740]P1(f317(f317(f225(a901),x67401),x67402))+~P1(f317(f317(f225(a901),f2(a901)),f317(f317(f3(a901),x67402),x67401)))
% 199.17/199.22 [6783]P1(f317(f317(f225(a901),f2(a901)),x67831))+~P1(f317(f317(f225(a901),f2(a901)),f317(f317(f75(a901),x67832),x67831)))
% 199.17/199.22 [6784]P1(f317(f317(f225(a901),f2(a901)),x67841))+~P1(f317(f317(f225(a901),f2(a901)),f317(f317(f75(a901),x67841),x67842)))
% 199.17/199.22 [6803]~P1(f317(f317(f224(a1),x68031),f2(a1)))+E(f317(f317(f75(a901),f317(a95,f317(f73(a1),x68031))),f317(a95,f317(f73(a1),x68032))),f317(a95,f317(f317(f75(a1),x68031),x68032)))
% 199.17/199.22 [6864]~E(x68642,f179(f907(x68641,a897)))+P1(f317(f317(f224(f907(x68641,a897)),x68642),f317(f73(f907(x68641,a897)),x68642)))
% 199.17/199.22 [6974]~P1(f317(f317(f225(a1),x69741),x69742))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x69741),f72(a1))),x69742))
% 199.17/199.22 [7045]E(x70451,f2(a901))+~P1(f317(f317(f224(a1),f317(f90(a1),x70452)),f317(f73(a1),f317(f90(a1),x70451))))
% 199.17/199.22 [7046]E(x70461,f2(a901))+~P1(f317(f317(f224(a1),f317(f90(a1),x70461)),f317(f73(a1),f317(f90(a1),x70462))))
% 199.17/199.22 [7149]E(f317(f317(f242(a1,a1),f317(f94(a1),a87)),f317(f317(f74(a1),x71491),x71492)),f45(x71491,x71492))+~P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),x71491),x71492)))
% 199.17/199.22 [7192]~P24(x71921,x71922)+P34(x71921,f317(f241(f907(f906(x71921,x71921),a897),f907(f906(x71921,x71921),a897)),x71922))
% 199.17/199.22 [7211]~P1(f317(f317(f224(a901),f317(a102,f2(a901))),x72111))+P1(f317(f317(f224(a901),f317(a102,f2(a901))),f317(f317(f234(a901),x72111),x72112)))
% 199.17/199.22 [7443]~P1(f317(f317(f225(a901),f2(a901)),x74431))+P1(f317(f317(f225(a901),f317(f317(f3(a901),x74431),f317(a102,x74432))),x74431))
% 199.17/199.22 [7478]P1(f317(f317(f224(a901),f317(a102,f2(a901))),x74781))+~P1(f317(f317(f224(a901),f317(a102,f2(a901))),f317(f317(f75(a901),x74782),x74781)))
% 199.17/199.22 [7479]P1(f317(f317(f224(a901),f317(a102,f2(a901))),x74791))+~P1(f317(f317(f224(a901),f317(a102,f2(a901))),f317(f317(f75(a901),x74791),x74792)))
% 199.17/199.22 [7482]P1(f317(f317(f224(a901),f317(f317(f154(a901),x74821),x74822)),f317(f155(a901),x74821)))+~P1(f317(f317(f225(a901),x74822),f317(f180(f902(a901)),x74821)))
% 199.17/199.22 [7519]P1(f317(f317(f225(a1),x75191),x75192))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x75191),f72(a1))),x75192))
% 199.17/199.22 [7560]P1(f317(f28(x75601),f232(f907(x75601,a897))))+~P1(f317(f28(f907(x75602,x75601)),f232(f907(f907(x75602,x75601),a897))))
% 199.17/199.22 [7561]P1(f317(f28(x75611),f232(f907(x75611,a897))))+~P1(f317(f28(f908(x75612,x75611)),f232(f907(f908(x75612,x75611),a897))))
% 199.17/199.22 [7562]P1(f317(f28(x75621),f232(f907(x75621,a897))))+~P1(f317(f28(f908(x75621,x75622)),f232(f907(f908(x75621,x75622),a897))))
% 199.17/199.22 [7602]E(x76021,f179(f907(x76022,a897)))+~P1(f317(f317(f224(f907(x76022,a897)),x76021),f317(f73(f907(x76022,a897)),x76021)))
% 199.17/199.22 [7740]E(f317(f132(f902(x77401),f902(x77401),f124(x77401),f103(x77401)),x77402),f103(x77401))+P1(f317(f317(f319(f902(x77401)),f678(x77402,x77401)),f317(f162(f902(x77401)),x77402)))
% 199.17/199.22 [7741]E(f317(f132(f902(x77411),f902(x77411),f124(x77411),f103(x77411)),x77412),f103(x77411))+P1(f317(f317(f319(f902(x77411)),f684(x77412,x77411)),f317(f162(f902(x77411)),x77412)))
% 199.17/199.22 [8071]~P118(x80711)+E(f317(f317(f75(x80711),f317(f317(f74(x80711),f72(x80711)),f72(x80711))),f317(f317(f8(a901,x80711),f90(x80711)),f294(a901,f72(a901),x80712))),f317(f317(f75(x80711),f317(f90(x80711),x80712)),f317(f317(f74(x80711),f317(f90(x80711),x80712)),f72(x80711))))
% 199.17/199.22 [8119]P1(f317(f317(f319(a901),x81191),x81192))+~P1(f317(f317(f319(a1),f317(f90(a1),x81191)),f317(f300(a901,a1,f90(a1)),x81192)))
% 199.17/199.22 [8283]~P1(f317(f28(x82831),x82832))+E(f317(f300(a901,x82831,f534(x82832,x82831)),f317(f252(a901),f317(f317(f9(a901,a901,a897),f225(a901)),f535(x82832,x82831)))),x82832)
% 199.17/199.22 [8557]P51(x85571,x85572)+P1(f317(f317(f319(f906(x85571,x85571)),f317(f317(f242(x85571,x85571),f470(x85572,x85571)),f470(x85572,x85571))),x85572))
% 199.17/199.22 [8558]P35(x85581,x85582)+P1(f317(f317(f319(f906(x85581,x85581)),f317(f317(f242(x85581,x85581),f770(x85582,x85581)),f773(x85582,x85581))),x85582))
% 199.17/199.22 [8559]P35(x85591,x85592)+P1(f317(f317(f319(f906(x85591,x85591)),f317(f317(f242(x85591,x85591),f773(x85592,x85591)),f774(x85592,x85591))),x85592))
% 199.17/199.22 [8560]P36(x85601,x85602)+P1(f317(f317(f319(f906(x85601,x85601)),f317(f317(f242(x85601,x85601),f689(x85602,x85601)),f688(x85602,x85601))),x85602))
% 199.17/199.22 [8561]P36(x85611,x85612)+P1(f317(f317(f319(f906(x85611,x85611)),f317(f317(f242(x85611,x85611),f688(x85612,x85611)),f689(x85612,x85611))),x85612))
% 199.17/199.22 [8562]P49(x85621,x85622)+P1(f317(f317(f319(f906(x85621,x85621)),f317(f317(f242(x85621,x85621),f784(x85622,x85621)),f785(x85622,x85621))),x85622))
% 199.17/199.22 [8821]~P1(f317(f317(f225(f907(a901,a897)),x88211),x88212))+P1(f317(f317(f225(f907(a1,a897)),f317(f300(a901,a1,f90(a1)),x88211)),f317(f300(a901,a1,f90(a1)),x88212)))
% 199.17/199.22 [8855]~P97(x88551)+E(f317(f317(f3(x88551),f72(x88551)),f317(f94(x88551),x88552)),f317(f94(x88551),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)),f317(f73(a1),x88552))))
% 199.17/199.22 [8931]~P1(f317(f317(f319(a901),x89311),f317(f162(a901),x89312)))+P1(f317(f317(f224(a901),x89311),f317(f132(a901,a901,f74(a901),f2(a901)),x89312)))
% 199.17/199.22 [9023]P43(x90231,x90232)+~P1(f317(f317(f319(f906(x90231,x90231)),f317(f317(f242(x90231,x90231),f448(x90232,x90231)),f448(x90232,x90231))),x90232))
% 199.17/199.22 [9024]P35(x90241,x90242)+~P1(f317(f317(f319(f906(x90241,x90241)),f317(f317(f242(x90241,x90241),f770(x90242,x90241)),f774(x90242,x90241))),x90242))
% 199.17/199.22 [9025]P49(x90251,x90252)+~P1(f317(f317(f319(f906(x90251,x90251)),f317(f317(f242(x90251,x90251),f785(x90252,x90251)),f784(x90252,x90251))),x90252))
% 199.17/199.22 [9159]~P1(f317(f317(f224(f907(a1,a897)),f317(f300(a901,a1,f90(a1)),x91591)),f317(f300(a901,a1,f90(a1)),x91592)))+P1(f317(f317(f224(f907(a901,a897)),x91591),x91592))
% 199.17/199.22 [9160]~P1(f317(f317(f225(f907(a1,a897)),f317(f300(a901,a1,f90(a1)),x91601)),f317(f300(a901,a1,f90(a1)),x91602)))+P1(f317(f317(f225(f907(a901,a897)),x91601),x91602))
% 199.17/199.22 [10155]~P105(x101551)+E(f106(f902(x101551),f317(f119(f902(x101551)),f103(x101551)),f317(f317(f317(f86(f903(f902(x101551))),f317(f317(f225(a1),f2(a1)),x101552)),f317(f108(f906(x101551,f902(x101551)),f902(x101551),f121(x101551,f902(x101551),f122(x101551,f317(f317(f3(a1),x101552),f72(a1))),f122(f902(x101551),f317(f317(f3(a1),x101552),f72(a1))))),f317(f247(x101551,f902(x101551),f903(f902(x101551))),f317(f317(f10(f907(f902(x101551),f902(x101551)),f907(f902(x101551),f903(f902(x101551))),x101551),f317(f10(f902(x101551),f903(f902(x101551)),f902(x101551)),f119(f902(x101551)))),f141(x101551))))),f105(f902(x101551)))),f122(f902(x101551),x101552))
% 199.17/199.22 [10176]~P1(f317(f28(x101761),x101762))+E(f317(f180(f902(x101761)),f84(f902(x101761),f317(f317(f20(f902(x101761),a897,a897),f317(f317(f10(a897,f907(a897,a897),f902(x101761)),a315),f317(f317(f9(f902(x101761),f907(x101761,a897),a897),f317(f317(f10(f907(x101761,a897),f907(f907(x101761,a897),a897),f902(x101761)),a314),f162(x101761))),x101762))),f127(x101761)))),f205(x101761,x101762))
% 199.17/199.22 [6159]E(f317(f317(f74(a901),f317(f317(f3(a901),x61591),x61592)),x61592),x61591)+~P1(f317(f317(f224(a901),x61592),x61591))
% 199.17/199.22 [6233]E(f317(f317(f30(a901),f317(f317(f75(a901),x62331),x62332)),x62332),x62331)+~P1(f317(f317(f225(a901),f2(a901)),x62332))
% 199.17/199.22 [6234]E(f317(f317(f30(a901),f317(f317(f75(a901),x62341),x62342)),x62341),x62342)+~P1(f317(f317(f225(a901),f2(a901)),x62341))
% 199.17/199.22 [6240]~P72(x62401)+E(f317(f317(f8(a901,x62401),f317(f154(x62401),x62402)),f317(f293(a901,f2(a901)),f317(f180(f902(x62401)),x62402))),f317(f155(x62401),x62402))
% 199.17/199.22 [6350]E(f40(a901,f317(a102,f317(f317(f75(a901),x63501),x63502)),x63501),f72(a901))+~P1(f317(f317(f225(a901),f72(a901)),x63501))
% 199.17/199.22 [6356]E(f317(a102,f317(f317(f74(a901),f317(f94(a901),x63561)),x63562)),f317(f317(f74(a901),f72(a901)),x63562))+~P1(f317(a184,f317(f94(a1),x63561)))
% 199.17/199.22 [6386]E(f317(a95,f317(f317(f234(a1),f317(f94(a1),x63861)),x63862)),f317(f317(f234(a901),f317(f94(a901),x63861)),x63862))+P1(f317(a184,f317(f94(a1),x63861)))
% 199.17/199.22 [6626]E(f317(f317(f3(a901),x66261),f317(f94(a901),f317(f317(f74(a1),x66262),a87))),f317(f317(f3(a901),f317(a102,x66261)),f317(f94(a901),x66262)))+~P1(f317(f317(f225(a1),a77),x66262))
% 199.17/199.22 [6710]E(x67101,f2(a901))+E(f317(a102,f317(f317(f74(a901),f317(f317(f3(a901),x67101),f72(a901))),x67102)),f317(f317(f74(a901),x67101),x67102))
% 199.17/199.22 [6753]E(x67531,f2(a1))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x67531)),x67532)))
% 199.17/199.22 [6768]~E(x67682,f2(a901))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x67681)),x67682)))
% 199.17/199.22 [6806]E(x68061,f2(a901))+E(f317(f317(f74(a901),x68062),f317(f317(f75(a901),f317(f317(f3(a901),x68061),f72(a901))),x68062)),f317(f317(f75(a901),x68061),x68062))
% 199.17/199.22 [6857]~P1(f317(f317(f224(a1),x68571),x68572))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x68571),a87)),x68572))
% 199.17/199.22 [6978]E(f317(f317(f141(a901),x69781),f129(a901,f317(f293(a901,f317(a102,x69781)),x69782))),f129(a901,f317(f293(a901,x69781),x69782)))+~P1(f317(f317(f225(a901),x69781),x69782))
% 199.17/199.22 [7186]E(x71861,f103(x71862))+E(f256(x71862,f317(f317(f144(x71862,f906(a89,x71862)),f317(f242(a89,x71862),f72(a89))),x71861)),f265(x71862,x71861))
% 199.17/199.22 [7418]P1(f317(f317(f224(a1),x74181),x74182))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x74181),a87)),x74182))
% 199.17/199.22 [7419]E(x74191,x74192)+~E(f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x74191)),x74191),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x74192)),x74192))
% 199.17/199.22 [7882]~P1(f317(f317(f225(a901),x78821),x78822))+P1(f317(f317(f319(f906(a901,a901)),f317(f317(f242(a901,a901),x78821),x78822)),a230))
% 199.17/199.22 [8096]~P1(f317(f317(f225(a89),f2(a89)),x80961))+P1(f317(f317(f225(a89),f317(f241(a89,f906(a89,a89)),f317(f257(x80961),x80962))),x80961))
% 199.17/199.22 [8363]~P35(x83631,x83632)+P35(x83631,f317(f317(f91(f907(f906(x83631,x83631),a897)),x83632),f297(x83631,f179(f907(f906(x83631,x83631),a897)))))
% 199.17/199.22 [8364]~P36(x83641,x83642)+P36(x83641,f317(f317(f91(f907(f906(x83641,x83641),a897)),x83642),f297(x83641,f179(f907(f906(x83641,x83641),a897)))))
% 199.17/199.22 [8412]~P88(x84121)+P1(f317(f317(f224(x84121),f317(f70(x84121),f317(f155(x84121),x84122))),f317(f155(x84121),f317(f317(f144(x84121,x84121),f70(x84121)),x84122))))
% 199.17/199.22 [8438]P1(f317(f317(f225(a901),x84381),x84382))+~P1(f317(f317(f319(f906(a901,a901)),f317(f317(f242(a901,a901),x84381),x84382)),a230))
% 199.17/199.22 [8581]E(f317(f317(f242(x85811,x85811),f623(x85812,x85811)),f623(x85812,x85811)),x85812)+~P1(f317(f317(f319(f906(x85811,x85811)),x85812),f297(x85811,f179(f907(f906(x85811,x85811),a897)))))
% 199.17/199.22 [8626]E(f317(f293(a901,x86261),f317(f317(f74(a901),x86261),f317(f29(a901),x86262))),x86262)+~P1(f317(f317(f224(f907(a901,a897)),x86262),f317(f293(a901,x86261),f317(f317(f74(a901),x86261),f317(f29(a901),x86262)))))
% 199.17/199.22 [8849]P36(x88491,x88492)+~P36(x88491,f317(f317(f91(f907(f906(x88491,x88491),a897)),x88492),f297(x88491,f179(f907(f906(x88491,x88491),a897)))))
% 199.17/199.22 [9067]~P35(x90671,x90672)+P1(f317(f317(f224(f907(f906(x90671,x90671),a897)),f317(f317(f278(x90671,x90671,x90671),x90672),x90672)),x90672))
% 199.17/199.22 [9094]E(f167(f902(x90941),f317(f317(f10(a897,a897,f902(x90941)),a312),f317(f317(f9(f902(x90941),f902(x90941),a897),a314),f103(x90941))),x90942),f169(x90941,f169(x90941,x90942)))+~P11(a901,f317(f158(a901),f317(f317(f144(f902(x90941),a901),f180(f902(x90941))),x90942)))
% 199.17/199.22 [9976]P1(f317(a184,x99762))+E(f317(f317(f82(a1,a901),f317(f317(f3(a1),x99761),x99762)),f317(f317(f20(a1,a901,a901),f317(f317(f9(a1,a901,f907(a901,a901)),f317(f317(f10(a897,f907(a901,f907(a901,a901)),a1),f86(a901)),a184)),f2(a901))),a95)),f317(f317(f3(a901),f317(a95,x99761)),f317(a95,x99762)))
% 199.17/199.22 [9988]E(f317(f317(f82(a1,a901),f317(f94(a1),f317(f317(f74(a1),x99881),f317(f73(a1),x99882)))),f317(f317(f20(a1,a901,a901),f317(f317(f9(a1,a901,f907(a901,a901)),f317(f317(f10(a897,f907(a901,f907(a901,a901)),a1),f86(a901)),a184)),f2(a901))),a95)),f317(f317(f3(a901),f317(f94(a901),x99881)),f317(f94(a901),x99882)))+P1(f317(f317(f225(a1),x99882),a77))
% 199.17/199.22 [9989]~P24(x99891,x99892)+P1(f317(f317(f224(f907(f906(x99891,x99891),a897)),f317(f317(f278(x99891,x99891,x99891),f317(f241(f907(f906(x99891,x99891),a897),f907(f906(x99891,x99891),a897)),x99892)),f317(f246(f907(f906(x99891,x99891),a897),f907(f906(x99891,x99891),a897)),x99892))),f317(f241(f907(f906(x99891,x99891),a897),f907(f906(x99891,x99891),a897)),x99892)))
% 199.17/199.22 [10033]~E(f317(f29(a901),f317(f252(a901),f317(f317(f20(a901,a897,a897),f317(f317(f10(a897,f907(a897,a897),a901),a315),f317(f317(f9(a901,f907(a901,a897),a897),f319(a901)),x100331))),f317(f317(f9(a901,a901,a897),f225(a901)),f317(a102,x100332))))),f2(a901))+~P1(f317(f317(f319(a901),f2(a901)),x100331))
% 199.17/199.22 [10041]E(f288(a901,f317(f317(f20(a901,f907(a901,a897),f907(a901,a897)),f317(f317(f10(f907(a901,f907(a897,a897)),f907(f907(a901,a897),f907(a901,a897)),a901),f20(a901,a897,a897)),f317(f317(f10(f907(a901,a897),f907(a901,f907(a897,a897)),a901),f317(f10(a897,f907(a897,a897),a901),a315)),f276(a901)))),f317(f317(f10(f907(a901,a897),f907(a901,a897),a901),f317(f10(a897,a897,a901),a312)),f317(f9(a901,a901,a897),f276(a901)))),x100411,x100412),f179(f907(a901,a897)))+~P1(f317(f317(f276(a901),x100412),x100411))
% 199.17/199.22 [10046]E(f289(a901,f276(a901),f317(f317(f20(a901,f907(a901,a897),f907(a901,a897)),f317(f317(f10(f907(a901,f907(a897,a897)),f907(f907(a901,a897),f907(a901,a897)),a901),f20(a901,a897,a897)),f317(f317(f10(f907(a901,a897),f907(a901,f907(a897,a897)),a901),f317(f10(a897,f907(a897,a897),a901),a315)),f276(a901)))),f317(f317(f10(f907(a901,a897),f907(a901,a897),a901),f317(f10(a897,a897,a901),a312)),f317(f9(a901,a901,a897),f276(a901)))),x100461,x100462),f179(f907(a901,a897)))+P1(f317(f317(f276(a901),x100461),x100462))
% 199.17/199.22 [10047]E(f286(a901,f276(a901),f317(f317(f20(a901,f907(a901,a897),f907(a901,a897)),f317(f317(f10(f907(a901,f907(a897,a897)),f907(f907(a901,a897),f907(a901,a897)),a901),f20(a901,a897,a897)),f317(f317(f10(f907(a901,a897),f907(a901,f907(a897,a897)),a901),f317(f10(a897,f907(a897,a897),a901),a315)),f276(a901)))),f317(f317(f10(f907(a901,a897),f907(a901,a897),a901),f317(f10(a897,a897,a901),a312)),f317(f9(a901,a901,a897),f276(a901)))),x100471,x100472),f179(f907(a901,a897)))+P1(f317(f317(f276(a901),x100471),x100472))
% 199.17/199.22 [10051]E(f289(a901,f276(a901),f317(f317(f20(a901,f907(a901,a897),f907(a901,a897)),f317(f317(f10(f907(a901,f907(a897,a897)),f907(f907(a901,a897),f907(a901,a897)),a901),f20(a901,a897,a897)),f317(f317(f10(f907(a901,a897),f907(a901,f907(a897,a897)),a901),f317(f10(a897,f907(a897,a897),a901),a315)),f276(a901)))),f317(f317(f10(f907(a901,a897),f907(a901,a897),a901),f317(f10(a897,a897,a901),a312)),f317(f9(a901,a901,a897),f276(a901)))),x100511,x100512),f179(f907(a901,a897)))+~P1(f317(f317(f276(a901),x100512),x100511))
% 199.17/199.22 [10053]E(f286(a901,f276(a901),f317(f317(f20(a901,f907(a901,a897),f907(a901,a897)),f317(f317(f10(f907(a901,f907(a897,a897)),f907(f907(a901,a897),f907(a901,a897)),a901),f20(a901,a897,a897)),f317(f317(f10(f907(a901,a897),f907(a901,f907(a897,a897)),a901),f317(f10(a897,f907(a897,a897),a901),a315)),f276(a901)))),f317(f317(f10(f907(a901,a897),f907(a901,a897),a901),f317(f10(a897,a897,a901),a312)),f317(f9(a901,a901,a897),f276(a901)))),x100531,x100532),f179(f907(a901,a897)))+~P1(f317(f317(f276(a901),x100532),x100531))
% 199.17/199.22 [10146]~P3(x101461)+E(f31(x101461,f317(f252(x101461),f317(f317(f10(f907(x101461,a897),a897,x101461),f81(x101461)),f317(f317(f10(f907(x101461,a897),f907(x101461,a897),x101461),f317(f20(x101461,a897,a897),f317(f317(f10(a897,f907(a897,a897),x101461),a320),f317(f317(f9(x101461,f907(x101461,a897),a897),f319(x101461)),x101462)))),f224(x101461))))),f32(x101461,x101462))
% 199.17/199.22 [10171]~P34(x101711,x101712)+P57(x101711,f317(f317(f9(x101711,f907(f906(x101711,x101711),a897),f907(x101711,a897)),f317(f317(f10(f907(x101711,f907(f907(f906(x101711,x101711),a897),a897)),f907(f907(f906(x101711,x101711),a897),f907(x101711,a897)),x101711),f9(x101711,f907(f906(x101711,x101711),a897),a897)),f317(f317(f10(f907(x101711,f906(x101711,x101711)),f907(x101711,f907(f907(f906(x101711,x101711),a897),a897)),x101711),f317(f10(f906(x101711,x101711),f907(f907(f906(x101711,x101711),a897),a897),x101711),f319(f906(x101711,x101711)))),f242(x101711,x101711)))),x101712))
% 199.17/199.22 [10172]~P6(x101721,f232(f907(x101721,a897)),x101722)+P5(x101721,f317(f317(f9(x101721,f907(f906(x101721,x101721),a897),f907(x101721,a897)),f317(f317(f10(f907(x101721,f907(f907(f906(x101721,x101721),a897),a897)),f907(f907(f906(x101721,x101721),a897),f907(x101721,a897)),x101721),f9(x101721,f907(f906(x101721,x101721),a897),a897)),f317(f317(f10(f907(x101721,f906(x101721,x101721)),f907(x101721,f907(f907(f906(x101721,x101721),a897),a897)),x101721),f317(f10(f906(x101721,x101721),f907(f907(f906(x101721,x101721),a897),a897),x101721),f319(f906(x101721,x101721)))),f242(x101721,x101721)))),x101722))
% 199.17/199.22 [10209]P34(x102091,x102092)+~P57(x102091,f317(f317(f9(x102091,f907(f906(x102091,x102091),a897),f907(x102091,a897)),f317(f317(f10(f907(x102091,f907(f907(f906(x102091,x102091),a897),a897)),f907(f907(f906(x102091,x102091),a897),f907(x102091,a897)),x102091),f9(x102091,f907(f906(x102091,x102091),a897),a897)),f317(f317(f10(f907(x102091,f906(x102091,x102091)),f907(x102091,f907(f907(f906(x102091,x102091),a897),a897)),x102091),f317(f10(f906(x102091,x102091),f907(f907(f906(x102091,x102091),a897),a897),x102091),f319(f906(x102091,x102091)))),f242(x102091,x102091)))),x102092))
% 199.17/199.22 [10210]P6(x102101,f232(f907(x102101,a897)),x102102)+~P5(x102101,f317(f317(f9(x102101,f907(f906(x102101,x102101),a897),f907(x102101,a897)),f317(f317(f10(f907(x102101,f907(f907(f906(x102101,x102101),a897),a897)),f907(f907(f906(x102101,x102101),a897),f907(x102101,a897)),x102101),f9(x102101,f907(f906(x102101,x102101),a897),a897)),f317(f317(f10(f907(x102101,f906(x102101,x102101)),f907(x102101,f907(f907(f906(x102101,x102101),a897),a897)),x102101),f317(f10(f906(x102101,x102101),f907(f907(f906(x102101,x102101),a897),a897),x102101),f319(f906(x102101,x102101)))),f242(x102101,x102101)))),x102102))
% 199.17/199.22 [7369]E(f317(f317(f74(a901),f317(f94(a901),f317(f317(f3(a1),x73691),a87))),x73692),f317(a102,f317(f317(f74(a901),f317(f94(a901),x73691)),x73692)))+P1(f317(a184,f317(f94(a1),x73691)))
% 199.17/199.22 [7863]~P97(x78631)+E(f317(f317(f74(x78631),f317(f317(f74(x78631),f72(x78631)),f317(f94(x78631),x78632))),f317(f94(x78631),x78632)),f317(f94(x78631),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x78632)),x78632)))
% 199.17/199.22 [9215]~P1(f317(f317(f224(a1),x92151),x92152))+P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x92151)),x92151)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x92152)),x92152)))
% 199.17/199.22 [9217]~P1(f317(f317(f225(a1),x92171),x92172))+P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x92171)),x92171)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x92172)),x92172)))
% 199.17/199.22 [9460]~P1(f317(f28(x94601),x94602))+P1(f317(f28(f907(x94601,a897)),f317(f252(f907(x94601,a897)),f317(f317(f9(f907(x94601,a897),f907(x94601,a897),a897),f224(f907(x94601,a897))),x94602))))
% 199.17/199.22 [9487]P1(f317(f317(f224(a1),x94871),x94872))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x94871)),x94871)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x94872)),x94872)))
% 199.17/199.22 [9489]P1(f317(f317(f225(a1),x94891),x94892))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x94891)),x94891)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x94892)),x94892)))
% 199.17/199.22 [9516]~E(f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),x95161),f179(f907(f906(a901,a901),a897)))),f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),x95162),f179(f907(f906(a901,a901),a897)))))+P1(f317(f317(f319(f906(f906(a901,a901),f906(a901,a901))),f317(f317(f242(f906(a901,a901),f906(a901,a901)),x95161),x95162)),a99))
% 199.17/199.22 [9601]E(f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),x96011),f179(f907(f906(a901,a901),a897)))),f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),x96012),f179(f907(f906(a901,a901),a897)))))+~P1(f317(f317(f319(f906(f906(a901,a901),f906(a901,a901))),f317(f317(f242(f906(a901,a901),f906(a901,a901)),x96011),x96012)),a99))
% 199.17/199.22 [9650]P1(f317(f317(f224(a1),f2(a1)),f598(x96501,x96502)))+E(f317(f252(a1),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a315),f317(f224(a1),f2(a1)))),x96501)),f317(f252(a1),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a315),f317(f224(a1),f2(a1)))),x96502)))
% 199.17/199.22 [9765]~P1(f317(f317(f224(a1),x97651),x97652))+P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x97651)),x97651)),a87)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x97652)),x97652)))
% 199.17/199.22 [9767]~P1(f317(f317(f224(a1),x97671),x97672))+P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x97671)),x97671)),a87)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x97672)),x97672)))
% 199.17/199.22 [9919]P1(f317(f317(f224(a1),x99191),x99192))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x99191)),x99191)),a87)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x99192)),x99192)))
% 199.17/199.22 [9921]P1(f317(f317(f224(a1),x99211),x99212))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x99211)),x99211)),a87)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x99212)),x99212)))
% 199.17/199.22 [10154]~P3(x101541)+E(f32(x101541,f317(f252(x101541),f317(f317(f10(f907(x101541,a897),a897,x101541),f81(x101541)),f317(f317(f10(f907(x101541,a897),f907(x101541,a897),x101541),f317(f20(x101541,a897,a897),f317(f317(f10(a897,f907(a897,a897),x101541),a320),f317(f317(f9(x101541,f907(x101541,a897),a897),f319(x101541)),x101542)))),f317(f9(x101541,x101541,a897),f224(x101541)))))),f31(x101541,x101542))
% 199.17/199.22 [10175]P1(f317(f317(f319(a901),f2(a901)),x101751))+E(f317(f29(a901),f317(f252(a901),f317(f317(f20(a901,a897,a897),f317(f317(f10(a897,f907(a897,a897),a901),a315),f317(f317(f9(a901,f907(a901,a897),a897),f317(f317(f10(a901,f907(f907(a901,a897),a897),a901),f319(a901)),a102)),x101751))),f317(f317(f9(a901,a901,a897),f225(a901)),x101752)))),f317(f29(a901),f317(f252(a901),f317(f317(f20(a901,a897,a897),f317(f317(f10(a897,f907(a897,a897),a901),a315),f317(f317(f9(a901,f907(a901,a897),a897),f319(a901)),x101751))),f317(f317(f9(a901,a901,a897),f225(a901)),f317(a102,x101752))))))
% 199.17/199.22 [10237]P1(f317(f317(f276(a901),x102371),x102372))+~P1(f317(f317(f319(a901),x102372),f284(a901,f317(f317(f20(a901,f907(a901,a897),f907(a901,a897)),f317(f317(f10(f907(a901,f907(a897,a897)),f907(f907(a901,a897),f907(a901,a897)),a901),f20(a901,a897,a897)),f317(f317(f10(f907(a901,a897),f907(a901,f907(a897,a897)),a901),f317(f10(a897,f907(a897,a897),a901),a315)),f276(a901)))),f317(f317(f10(f907(a901,a897),f907(a901,a897),a901),f317(f10(a897,a897,a901),a312)),f317(f9(a901,a901,a897),f276(a901)))),x102371)))
% 199.17/199.22 [10238]P1(f317(f317(f276(a901),x102381),x102382))+~P1(f317(f317(f319(a901),x102381),f287(a901,f317(f317(f20(a901,f907(a901,a897),f907(a901,a897)),f317(f317(f10(f907(a901,f907(a897,a897)),f907(f907(a901,a897),f907(a901,a897)),a901),f20(a901,a897,a897)),f317(f317(f10(f907(a901,a897),f907(a901,f907(a897,a897)),a901),f317(f10(a897,f907(a897,a897),a901),a315)),f276(a901)))),f317(f317(f10(f907(a901,a897),f907(a901,a897),a901),f317(f10(a897,a897,a901),a312)),f317(f9(a901,a901,a897),f276(a901)))),x102382)))
% 199.17/199.22 [10239]~P1(f317(f317(f276(a901),x102391),x102392))+~P1(f317(f317(f319(a901),x102392),f287(a901,f317(f317(f20(a901,f907(a901,a897),f907(a901,a897)),f317(f317(f10(f907(a901,f907(a897,a897)),f907(f907(a901,a897),f907(a901,a897)),a901),f20(a901,a897,a897)),f317(f317(f10(f907(a901,a897),f907(a901,f907(a897,a897)),a901),f317(f10(a897,f907(a897,a897),a901),a315)),f276(a901)))),f317(f317(f10(f907(a901,a897),f907(a901,a897),a901),f317(f10(a897,a897,a901),a312)),f317(f9(a901,a901,a897),f276(a901)))),x102391)))
% 199.17/199.22 [10240]~P1(f317(f317(f276(a901),x102401),x102402))+~P1(f317(f317(f319(a901),x102401),f284(a901,f317(f317(f20(a901,f907(a901,a897),f907(a901,a897)),f317(f317(f10(f907(a901,f907(a897,a897)),f907(f907(a901,a897),f907(a901,a897)),a901),f20(a901,a897,a897)),f317(f317(f10(f907(a901,a897),f907(a901,f907(a897,a897)),a901),f317(f10(a897,f907(a897,a897),a901),a315)),f276(a901)))),f317(f317(f10(f907(a901,a897),f907(a901,a897),a901),f317(f10(a897,a897,a901),a312)),f317(f9(a901,a901,a897),f276(a901)))),x102402)))
% 199.17/199.22 [7928]~P97(x79281)+E(f317(f317(f75(x79281),x79282),f317(f94(x79281),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),x79282)
% 199.17/199.22 [8154]~P97(x81541)+E(f317(f317(f74(x81541),f317(f94(x81541),x81542)),f72(x81541)),f317(f94(x81541),f317(f317(f74(a1),x81542),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))))
% 199.17/199.22 [8197]P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x81972)))+E(f317(f317(f234(a1),x81971),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x81972)),x81972))),f72(a1))
% 199.17/199.22 [9222]E(x92221,x92222)+~E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x92221)),x92221)),a87),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x92222)),x92222)),a87))
% 199.17/199.22 [9498]~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x94982)))+E(f317(f317(f234(a1),x94981),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x94982)),x94982))),f317(f317(f82(a1,a1),f317(f317(f234(a1),x94981),f317(f94(a901),x94982))),f317(f317(f20(a1,a1,a1),f317(f317(f10(a1,f907(a1,a1),a1),f75(a1)),f317(f75(a1),x94981))),f7(a1))))
% 199.17/199.22 [9888]~P1(f317(f317(f224(a901),f632(x98882,x98881)),f317(x98881,f632(x98882,x98881))))+P1(f317(f28(a901),f317(f252(a901),f317(f317(f9(a901,a901,a897),f317(f317(f10(a901,f907(a901,a897),a901),f224(a901)),x98881)),x98882))))
% 199.17/199.22 [10024]~P1(f317(f317(f224(a901),f317(f94(a901),x100241)),f317(a102,x100242)))+P1(f317(f317(f82(a1,a897),f317(f94(a1),f317(f317(f74(a1),x100241),a87))),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a320),f317(f317(f10(a897,a897,a1),a312),a184))),f317(f317(f9(a1,a901,a897),f317(f317(f10(a901,f907(a901,a897),a1),f224(a901)),a95)),x100242))))
% 199.17/199.22 [10025]~P1(f317(f317(f225(a901),f317(f94(a901),x100251)),f317(a102,x100252)))+P1(f317(f317(f82(a1,a897),f317(f94(a1),f317(f317(f74(a1),x100251),a87))),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a320),f317(f317(f10(a897,a897,a1),a312),a184))),f317(f317(f9(a1,a901,a897),f317(f317(f10(a901,f907(a901,a897),a1),f225(a901)),a95)),x100252))))
% 199.17/199.22 [10069]P1(f317(f317(f224(a901),f317(f94(a901),x100691)),f317(a102,x100692)))+~P1(f317(f317(f82(a1,a897),f317(f94(a1),f317(f317(f74(a1),x100691),a87))),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a320),f317(f317(f10(a897,a897,a1),a312),a184))),f317(f317(f9(a1,a901,a897),f317(f317(f10(a901,f907(a901,a897),a1),f224(a901)),a95)),x100692))))
% 199.17/199.22 [10070]P1(f317(f317(f225(a901),f317(f94(a901),x100701)),f317(a102,x100702)))+~P1(f317(f317(f82(a1,a897),f317(f94(a1),f317(f317(f74(a1),x100701),a87))),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a320),f317(f317(f10(a897,a897,a1),a312),a184))),f317(f317(f9(a1,a901,a897),f317(f317(f10(a901,f907(a901,a897),a1),f225(a901)),a95)),x100702))))
% 199.17/199.22 [10099]~P1(f317(f317(f224(a901),f317(a102,x100992)),f317(f94(a901),x100991)))+P1(f317(f317(f82(a1,a897),f317(f94(a1),f317(f317(f74(a1),x100991),a87))),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a315),f317(f317(f10(a897,a897,a1),a312),a184))),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a320),f317(f317(f10(a897,a897,a1),a312),a184))),f317(f317(f10(a901,a897,a1),f317(f224(a901),x100992)),a95)))))
% 199.17/199.22 [10100]~P1(f317(f317(f225(a901),f317(a102,x101002)),f317(f94(a901),x101001)))+P1(f317(f317(f82(a1,a897),f317(f94(a1),f317(f317(f74(a1),x101001),a87))),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a315),f317(f317(f10(a897,a897,a1),a312),a184))),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a320),f317(f317(f10(a897,a897,a1),a312),a184))),f317(f317(f10(a901,a897,a1),f317(f225(a901),x101002)),a95)))))
% 199.17/199.22 [10144]P1(f317(f317(f224(a901),f317(a102,x101441)),f317(f94(a901),x101442)))+~P1(f317(f317(f82(a1,a897),f317(f94(a1),f317(f317(f74(a1),x101442),a87))),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a315),f317(f317(f10(a897,a897,a1),a312),a184))),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a320),f317(f317(f10(a897,a897,a1),a312),a184))),f317(f317(f10(a901,a897,a1),f317(f224(a901),x101441)),a95)))))
% 199.17/199.22 [10145]P1(f317(f317(f225(a901),f317(a102,x101451)),f317(f94(a901),x101452)))+~P1(f317(f317(f82(a1,a897),f317(f94(a1),f317(f317(f74(a1),x101452),a87))),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a315),f317(f317(f10(a897,a897,a1),a312),a184))),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a320),f317(f317(f10(a897,a897,a1),a312),a184))),f317(f317(f10(a901,a897,a1),f317(f225(a901),x101451)),a95)))))
% 199.17/199.22 [10228]~P1(f317(f317(f319(a901),f2(a901)),x102281))+E(f317(a102,f317(f29(a901),f317(f252(a901),f317(f317(f20(a901,a897,a897),f317(f317(f10(a897,f907(a897,a897),a901),a315),f317(f317(f9(a901,f907(a901,a897),a897),f317(f317(f10(a901,f907(f907(a901,a897),a897),a901),f319(a901)),a102)),x102281))),f317(f317(f9(a901,a901,a897),f225(a901)),x102282))))),f317(f29(a901),f317(f252(a901),f317(f317(f20(a901,a897,a897),f317(f317(f10(a897,f907(a897,a897),a901),a315),f317(f317(f9(a901,f907(a901,a897),a897),f319(a901)),x102281))),f317(f317(f9(a901,a901,a897),f225(a901)),f317(a102,x102282))))))
% 199.17/199.22 [8786]~P97(x87861)+E(f317(f317(f75(x87861),f317(f94(x87861),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),x87862),x87862)
% 199.17/199.22 [8830]~P97(x88301)+E(f317(f317(f74(x88301),f72(x88301)),f317(f94(x88301),x88302)),f317(f94(x88301),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)),x88302)))
% 199.17/199.22 [8870]~P97(x88701)+E(f317(f317(f3(x88701),f317(f94(x88701),x88702)),f72(x88701)),f317(f94(x88701),f317(f317(f74(a1),x88702),f317(f73(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)))))
% 199.17/199.22 [8962]~P97(x89621)+E(f317(f317(f75(x89621),f317(f317(f74(x89621),f72(x89621)),f72(x89621))),f317(f94(x89621),x89622)),f317(f94(x89621),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x89622)),x89622)),a87)))
% 199.17/199.22 [8991]~P1(f317(f317(f225(a901),f317(f94(a901),a77)),x89912))+E(f317(f317(f3(a901),x89911),f317(f317(f3(a901),x89912),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)))),f317(f317(f3(a901),f317(a102,x89911)),x89912))
% 199.17/199.22 [9012]~P97(x90121)+E(f317(f94(x90121),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x90122)),x90122)),a87)),f317(f317(f74(x90121),f317(f317(f74(x90121),f2(x90121)),f317(f94(x90121),x90122))),f317(f94(x90121),x90122)))
% 199.17/199.22 [9617]~P1(f317(f317(f225(a1),x96171),x96172))+P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x96171)),x96171)),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x96172)),x96172)),a87)))
% 199.17/199.22 [9619]~P1(f317(f317(f225(a1),x96191),x96192))+P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x96191)),x96191)),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x96192)),x96192)),a87)))
% 199.17/199.22 [9779]P1(f317(f317(f225(a1),x97791),x97792))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x97791)),x97791)),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x97792)),x97792)),a87)))
% 199.17/199.22 [9781]P1(f317(f317(f225(a1),x97811),x97812))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x97811)),x97811)),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x97812)),x97812)),a87)))
% 199.17/199.22 [9834]~P84(x98341)+E(f317(f317(f234(x98341),x98342),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)))),f317(f317(f75(x98341),f317(f317(f75(x98341),x98342),x98342)),x98342))
% 199.17/199.22 [9883]~P1(f317(f317(f224(a1),x98831),x98832))+P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x98831)),x98831)),a87)),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x98832)),x98832)),a87)))
% 199.17/199.22 [9885]~P1(f317(f317(f225(a1),x98851),x98852))+P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x98851)),x98851)),a87)),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x98852)),x98852)),a87)))
% 199.17/199.22 [9985]P1(f317(f317(f224(a1),x99851),x99852))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x99851)),x99851)),a87)),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x99852)),x99852)),a87)))
% 199.17/199.22 [9987]P1(f317(f317(f225(a1),x99871),x99872))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x99871)),x99871)),a87)),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x99872)),x99872)),a87)))
% 199.17/199.22 [9634]~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x96342)))+E(f317(f317(f30(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x96341)),x96341))),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x96342)),x96342)),a87))),f317(f317(f30(a1),f317(f94(a1),x96341)),f317(f94(a1),x96342)))
% 199.17/199.22 [9657]P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x96572)))+E(f317(f317(f30(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x96571)),x96571))),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x96572)),x96572)),a87))),f317(f317(f30(a1),f317(f317(f74(a1),f317(f94(a1),x96571)),f72(a1))),f317(f94(a1),x96572)))
% 199.17/199.22 [10134]~E(f317(a102,x101342),f317(f94(a901),x101341))+P1(f317(f317(f82(a1,a897),f317(f94(a1),f317(f317(f74(a1),x101341),a87))),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a315),f317(f317(f10(a897,a897,a1),a312),a184))),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a320),f317(f317(f10(a897,a897,a1),a312),a184))),f317(f317(f9(a1,a901,a897),f317(f317(f10(a901,f907(a901,a897),a1),a314),a95)),x101342)))))
% 199.17/199.22 [10135]~E(f317(f94(a901),x101351),f317(a102,x101352))+P1(f317(f317(f82(a1,a897),f317(f94(a1),f317(f317(f74(a1),x101351),a87))),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a315),f317(f317(f10(a897,a897,a1),a312),a184))),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a320),f317(f317(f10(a897,a897,a1),a312),a184))),f317(f317(f9(a1,a901,a897),f317(f317(f10(a901,f907(a901,a897),a1),a314),a95)),x101352)))))
% 199.17/199.22 [10178]E(f317(a102,x101781),f317(f94(a901),x101782))+~P1(f317(f317(f82(a1,a897),f317(f94(a1),f317(f317(f74(a1),x101782),a87))),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a315),f317(f317(f10(a897,a897,a1),a312),a184))),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a320),f317(f317(f10(a897,a897,a1),a312),a184))),f317(f317(f9(a1,a901,a897),f317(f317(f10(a901,f907(a901,a897),a1),a314),a95)),x101781)))))
% 199.17/199.22 [10179]E(f317(f94(a901),x101791),f317(a102,x101792))+~P1(f317(f317(f82(a1,a897),f317(f94(a1),f317(f317(f74(a1),x101791),a87))),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a315),f317(f317(f10(a897,a897,a1),a312),a184))),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a320),f317(f317(f10(a897,a897,a1),a312),a184))),f317(f317(f9(a1,a901,a897),f317(f317(f10(a901,f907(a901,a897),a1),a314),a95)),x101792)))))
% 199.17/199.22 [10229]~P13(x102291,x102292)+P1(f317(f317(f319(f907(x102291,a897)),f793(x102292,x102291)),f317(f317(f10(f907(x102291,a897),a897,f907(x102291,a897)),f80(x102291)),f317(f317(f10(f907(x102291,a897),f907(x102291,a897),f907(x102291,a897)),f317(f20(x102291,a897,a897),f317(f317(f10(a897,f907(a897,a897),x102291),a315),f317(f317(f20(x102291,x102291,a897),x102292),f7(x102291))))),f317(f317(f9(f907(x102291,a897),f907(x102291,f907(x102291,a897)),f907(x102291,a897)),f317(f317(f10(f907(f907(x102291,a897),a897),f907(f907(x102291,f907(x102291,a897)),f907(x102291,a897)),f907(x102291,a897)),f10(f907(x102291,a897),a897,x102291)),a314)),x102292)))))
% 199.17/199.22 [10302]~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x103022)))+E(f40(a1,f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x103021)),x103021)),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x103022)),x103022)),a87))),f317(f317(f74(a1),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f40(a1,f317(f94(a1),x103021),f317(f94(a1),x103022)))),f72(a1)))
% 199.17/199.22 [10304]P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x103042)))+E(f40(a1,f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x103041)),x103041)),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x103042)),x103042)),a87))),f317(f317(f3(a1),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f40(a1,f317(f317(f74(a1),f317(f94(a1),x103041)),f72(a1)),f317(f94(a1),x103042)))),f72(a1)))
% 199.17/199.22 [10079]~P118(x100791)+E(f317(f317(f75(x100791),x100792),x100792),f317(f317(f234(x100791),x100792),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))))
% 199.17/199.22 [10080]~P84(x100801)+E(f317(f317(f234(x100801),x100802),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f317(f317(f75(x100801),x100802),x100802))
% 199.17/199.22 [10081]~P97(x100811)+E(f317(f317(f75(x100811),x100812),f317(f94(x100811),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f317(f317(f74(x100811),x100812),x100812))
% 199.17/199.22 [10159]~P141(x101591)+E(f317(f317(f234(x101591),f317(f73(x101591),x101592)),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f317(f317(f234(x101591),x101592),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))))
% 199.17/199.22 [10160]~P119(x101601)+E(f317(f317(f234(x101601),f317(f70(x101601),x101602)),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f317(f317(f234(x101601),x101602),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))))
% 199.17/199.22 [10158]~P97(x101581)+E(f317(f317(f75(x101581),f317(f94(x101581),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x101582),f317(f317(f74(x101581),x101582),x101582))
% 199.17/199.22 [10197]~P119(x101971)+E(f317(f70(x101971),f317(f317(f234(x101971),x101972),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))),f317(f317(f234(x101971),x101972),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))))
% 199.17/199.22 [10218]~P119(x102181)+P1(f317(f317(f224(x102181),f2(x102181)),f317(f317(f234(x102181),x102182),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))))
% 199.17/199.22 [10216]~P97(x102161)+E(f317(f317(f234(x102161),f317(f94(x102161),a87)),f317(f317(f75(a901),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x102162)),f72(x102161))
% 199.17/199.22 [10217]~P141(x102171)+E(f317(f317(f234(x102171),f317(f73(x102171),f72(x102171))),f317(f317(f75(a901),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x102172)),f72(x102171))
% 199.17/199.22 [10326]~P1(f317(f317(f224(a1),f2(a1)),x103262))+E(f40(a1,f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x103261)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x103262)),f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f40(a1,x103261,x103262))))
% 199.17/199.22 [10339]~P1(f317(f317(f224(a1),f2(a1)),x103392))+E(f317(f317(f30(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x103391))),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x103392)),f317(f317(f30(a1),x103391),x103392))
% 199.17/199.22 [10340]~P1(f317(f317(f224(a1),x103402),f2(a1)))+E(f317(f317(f30(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x103401))),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x103402)),f317(f317(f30(a1),f317(f317(f74(a1),x103401),f72(a1))),x103402))
% 199.17/199.22 [10341]~P1(f317(f317(f224(a1),x103412),f2(a1)))+E(f40(a1,f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x103411)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x103412)),f317(f317(f3(a1),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f40(a1,f317(f317(f74(a1),x103411),f72(a1)),x103412))),f72(a1)))
% 199.17/199.22 [10285]~P97(x102851)+E(f317(f317(f234(x102851),f317(f94(x102851),a87)),f317(a102,f317(f317(f75(a901),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x102852))),f317(f94(x102851),a87))
% 199.17/199.22 [10287]~P141(x102871)+E(f317(f317(f234(x102871),f317(f73(x102871),f72(x102871))),f317(a102,f317(f317(f75(a901),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x102872))),f317(f73(x102871),f72(x102871)))
% 199.17/199.22 [5013]P35(x50131,x50132)+~P6(x50131,x50133,x50132)
% 199.17/199.22 [5015]P49(x50151,x50152)+~P6(x50151,x50153,x50152)
% 199.17/199.22 [5188]~P6(x51881,x51882,x51883)+P50(x51881,x51882,x51883)
% 199.17/199.22 [8134]~E(x81342,x81343)+P31(x81341,x81341,a314,x81342,x81343)
% 199.17/199.22 [8682]E(x86821,x86822)+~P31(x86823,x86823,a314,x86821,x86822)
% 199.17/199.22 [4818]E(f159(x48181,x48182,x48183),f103(x48181))+~E(x48182,f2(a901))
% 199.17/199.22 [4985]~E(f159(x49852,x49851,x49853),f103(x49852))+E(x49851,f2(a901))
% 199.17/199.22 [5193]~P34(x51931,x51933)+P34(x51931,f311(x51931,x51932,x51933))
% 199.17/199.22 [5301]~P26(x53011,x53012,x53013)+P28(a1,x53011,f168(x53012,x53013))
% 199.17/199.22 [5369]P26(x53691,x53692,x53693)+~P28(a1,x53691,f168(x53692,x53693))
% 199.17/199.22 [5443]~P6(x54431,x54432,x54433)+P6(f902(x54431),f151(x54431,x54432),f148(x54431,x54433))
% 199.17/199.22 [5444]~P50(x54441,x54442,x54443)+P50(f902(x54441),f151(x54441,x54442),f148(x54441,x54443))
% 199.17/199.22 [5557]P53(x55571,x55572,x55573)+~E(f582(x55573,x55572,x55571),f583(x55573,x55572,x55571))
% 199.17/199.22 [5558]P52(x55581,x55582,x55583)+~E(f601(x55583,x55582,x55581),f602(x55583,x55582,x55581))
% 199.17/199.22 [8140]~E(x81402,x81403)+P23(x81401,x81401,f25(x81401),x81402,x81403)
% 199.17/199.22 [8690]E(x86901,x86902)+~P23(x86903,x86903,f25(x86903),x86901,x86902)
% 199.17/199.22 [4773]~E(f317(f158(x47732),x47731),x47733)+E(x47731,f317(f158(x47732),x47733))
% 199.17/199.22 [4774]~E(x47742,f317(f158(x47741),x47743))+E(f317(f158(x47741),x47742),x47743)
% 199.17/199.22 [4824]E(x48241,x48242)+~E(f317(f158(x48243),x48241),f317(f158(x48243),x48242))
% 199.17/199.22 [5039]~P5(x50393,x50391)+P1(f317(f317(x50391,x50392),x50392))
% 199.17/199.22 [5040]~P40(x50403,x50401)+P1(f317(f317(x50401,x50402),x50402))
% 199.17/199.22 [5042]~P57(x50421,x50422)+P1(f317(f305(x50421,x50422),x50423))
% 199.17/199.22 [5108]~P34(x51081,x51082)+P34(f902(x51081),f317(f133(x51081,x51082),x51083))
% 199.17/199.22 [5113]~P1(f317(x51132,x51133))+~E(f317(f252(x51131),x51132),f179(f907(x51131,a897)))
% 199.17/199.22 [5114]~P1(f317(x51142,x51143))+~E(f179(f907(x51141,a897)),f317(f252(x51141),x51142))
% 199.17/199.22 [5126]E(x51261,f2(a901))+E(f134(x51262,f159(x51262,x51261,x51263)),x51263)
% 199.17/199.22 [5145]~P1(f317(x51451,x51453))+P1(f317(x51451,f84(x51452,x51451)))
% 199.17/199.22 [5146]~P1(f317(x51461,x51463))+P1(f317(x51461,f719(x51461,x51462)))
% 199.17/199.22 [5158]E(x51581,f2(a901))+E(f317(f131(x51582),f159(x51582,x51581,x51583)),x51583)
% 199.17/199.22 [5263]~E(x52632,x52633)+P1(f317(f317(f319(x52631),x52632),f317(a314,x52633)))
% 199.17/199.22 [5278]~E(x52782,f2(a901))+E(f317(f162(x52781),f159(x52781,x52782,x52783)),f179(f907(x52781,a897)))
% 199.17/199.22 [5323]E(f317(f158(x53231),x53232),f317(f317(f141(x53231),x53233),f103(x53231)))+~E(x53232,f317(f317(f141(x53231),x53233),f103(x53231)))
% 199.17/199.22 [5324]~E(x53243,f317(f317(f141(x53241),x53242),f103(x53241)))+E(f317(f317(f141(x53241),x53242),f103(x53241)),f317(f158(x53241),x53243))
% 199.17/199.22 [5365]~P30(x53651,x53652,x53653)+P30(x53651,x53652,f317(f158(x53651),x53653))
% 199.17/199.22 [5366]~P28(x53661,x53662,x53663)+P28(x53661,x53662,f317(f158(x53661),x53663))
% 199.17/199.22 [5370]E(f317(f29(x53701),f324(x53702,x53703,x53701)),x53702)+~E(f317(f29(x53701),x53703),f317(a102,x53702))
% 199.17/199.22 [5377]~P34(x53771,x53773)+P1(f317(f317(f319(x53771),x53772),f306(x53771,x53773)))
% 199.17/199.22 [5381]~E(f317(f158(x53812),x53811),f317(f317(f141(x53812),x53813),f103(x53812)))+E(x53811,f317(f317(f141(x53812),x53813),f103(x53812)))
% 199.17/199.22 [5382]~E(f317(f317(f141(x53822),x53823),f103(x53822)),f317(f158(x53822),x53821))+E(x53821,f317(f317(f141(x53822),x53823),f103(x53822)))
% 199.17/199.22 [5407]E(f79(f906(a901,a901),f43(x54071,x54072)),x54073)+~P1(f317(f43(x54071,x54072),x54073))
% 199.17/199.22 [5447]P30(x54471,x54472,x54473)+~P30(x54471,x54472,f317(f158(x54471),x54473))
% 199.17/199.22 [5448]P28(x54481,x54482,x54483)+~P28(x54481,x54482,f317(f158(x54481),x54483))
% 199.17/199.22 [5487]P1(f317(f317(x54871,x54872),x54872))+~P1(f317(f260(x54873,x54871),x54872))
% 199.17/199.22 [5488]~P1(f317(f317(x54882,x54883),x54883))+P1(f317(f260(x54881,x54882),x54883))
% 199.17/199.22 [5510]~E(x55102,f103(x55101))+P1(f317(f317(f319(f902(x55101)),x55102),f151(x55101,x55103)))
% 199.17/199.22 [5520]~P50(x55201,x55202,x55203)+P50(x55201,x55202,f317(f275(x55201,x55201),x55203))
% 199.17/199.22 [5521]~P53(x55211,x55212,x55213)+P53(x55211,x55212,f317(f275(x55211,x55211),x55213))
% 199.17/199.22 [5538]~P58(x55381)+E(f40(x55381,f40(x55381,x55382,x55383),x55383),f40(x55381,x55382,x55383))
% 199.17/199.22 [5639]E(x56391,x56392)+~P1(f317(f317(f319(x56393),x56391),f317(a314,x56392)))
% 199.17/199.22 [5688]~P146(x56881)+E(f181(x56881,x56882,f2(a901),x56883),x56883)
% 199.17/199.22 [5710]P50(x57101,x57102,x57103)+~P50(x57101,x57102,f317(f275(x57101,x57101),x57103))
% 199.17/199.22 [5711]P53(x57111,x57112,x57113)+~P53(x57111,x57112,f317(f275(x57111,x57111),x57113))
% 199.17/199.22 [5715]~P108(x57152)+E(f140(x57151,x57152,x57153,f103(x57151)),f103(x57151))
% 199.17/199.22 [5727]E(f160(x57271,x57272,f142(x57271,x57273)),f142(x57271,f160(x57271,x57272,x57273)))+~P1(f317(f127(x57271),x57273))
% 199.17/199.22 [5826]~P1(f317(f317(x58263,x58262),x58262))+P1(f317(f317(f319(x58261),x58262),f260(x58261,x58263)))
% 199.17/199.22 [5828]E(f317(f126(x58281,x58282),x58283),f103(x58281))+P1(f317(x58282,f653(x58283,x58282,x58281)))
% 199.17/199.22 [5896]E(f62(x58961,x58962,x58963),x58962)+P1(f317(x58963,f720(x58962,x58961,x58963)))
% 199.17/199.22 [5992]~P1(f317(f127(x59921),x59922))+P1(f317(f127(x59921),f166(x59921,x59922,x59923)))
% 199.17/199.22 [5993]~P1(f317(f127(x59931),x59933))+P1(f317(f127(x59931),f160(x59931,x59932,x59933)))
% 199.17/199.22 [5994]~P1(f317(f127(x59941),x59943))+P1(f317(f127(x59941),f167(x59941,x59942,x59943)))
% 199.17/199.22 [5995]~P1(f317(f127(x59951),x59953))+P1(f317(f127(x59951),f130(x59951,x59952,x59953)))
% 199.17/199.22 [5996]~P147(x59961,x59962,x59963)+P1(f317(x59961,f40(a1,x59962,x59963)))
% 199.17/199.22 [6012]~P30(x60123,x60121,x60122)+P1(f317(x60121,f732(x60122,x60121,x60123)))
% 199.17/199.22 [6013]~P32(x60133,x60131,x60132)+P1(f317(x60131,f739(x60132,x60131,x60133)))
% 199.17/199.22 [6014]~P32(x60143,x60141,x60142)+P1(f317(x60141,f749(x60142,x60141,x60143)))
% 199.17/199.22 [6015]~P30(x60153,x60151,x60152)+P1(f317(x60151,f776(x60151,x60152,x60153)))
% 199.17/199.22 [6016]~P30(x60163,x60161,x60162)+P1(f317(x60161,f777(x60162,x60161,x60163)))
% 199.17/199.22 [6021]P1(f317(f317(x60211,x60212),x60212))+~P1(f317(f317(f319(x60213),x60212),f260(x60213,x60211)))
% 199.17/199.22 [6036]E(f317(f126(x60361,x60362),x60363),f167(x60361,x60362,x60363))+P1(f317(x60362,f704(x60363,x60362,x60361)))
% 199.17/199.22 [6076]~P1(f317(f127(x60761),x60763))+P1(f317(f127(f902(x60761)),f50(x60761,x60762,x60763)))
% 199.17/199.22 [6110]~P109(x61101)+E(f317(f317(f92(f907(x61101,a897)),f317(f292(x61101),x61102)),f296(x61101,x61102,x61103)),f179(f907(x61101,a897)))
% 199.17/199.22 [6111]~P109(x61111)+E(f317(f317(f92(f907(x61111,a897)),f317(f292(x61111),x61112)),f295(x61111,x61112,x61113)),f179(f907(x61111,a897)))
% 199.17/199.22 [6112]~P109(x61121)+E(f317(f317(f92(f907(x61121,a897)),f317(f290(x61121),x61122)),f294(x61121,x61122,x61123)),f179(f907(x61121,a897)))
% 199.17/199.22 [6345]E(f317(f126(x63451,x63452),x63453),x63453)+~P1(f317(x63452,f654(x63453,x63452,x63451)))
% 199.17/199.22 [6347]E(f317(f317(f299(x63471),f334(x63472,x63473,x63471)),f324(x63472,x63473,x63471)),x63473)+~E(f317(f29(x63471),x63473),f317(a102,x63472))
% 199.17/199.22 [6363]P147(x63631,x63632,x63633)+~P1(f317(x63631,f40(a1,x63632,x63633)))
% 199.17/199.22 [6415]P28(x64151,x64152,x64153)+~P1(f317(x64152,f740(x64153,x64152,x64151)))
% 199.17/199.22 [6416]P28(x64161,x64162,x64163)+~P1(f317(x64162,f746(x64162,x64163,x64161)))
% 199.17/199.22 [6417]P28(x64171,x64172,x64173)+~P1(f317(x64172,f748(x64173,x64172,x64171)))
% 199.17/199.22 [6418]P26(x64181,x64182,x64183)+~P1(f317(x64181,f764(x64183,x64182,x64181)))
% 199.17/199.22 [6419]P27(x64191,x64192,x64193)+~P1(f317(x64191,f810(x64193,x64192,x64191)))
% 199.17/199.22 [6421]E(f167(x64211,x64212,x64213),x64213)+~P1(f317(x64212,f699(x64213,x64212,x64211)))
% 199.17/199.22 [6500]~P1(f317(x65002,f559(x65003,x65002,x65001)))+P1(f317(f238(x65001,x65002),x65003))
% 199.17/199.22 [6501]~P1(f317(x65012,f655(x65013,x65012,x65011)))+P1(f317(f150(x65011,x65012),x65013))
% 199.17/199.22 [6754]~P1(f317(f305(x67541,x67542),f442(x67543,x67542,x67541)))+P1(f317(f305(x67541,x67542),x67543))
% 199.17/199.22 [6755]~P1(f317(f305(x67551,x67552),f452(x67553,x67552,x67551)))+P1(f317(f305(x67551,x67552),x67553))
% 199.17/199.22 [7370]~P58(x73701)+E(f317(f317(f74(x73701),f317(f317(f75(x73701),x73702),f317(f317(f30(x73701),x73703),x73702))),f40(x73701,x73703,x73702)),x73703)
% 199.17/199.22 [7396]P26(x73961,x73962,x73963)+P1(f317(f317(f319(a1),f764(x73963,x73962,x73961)),f294(a1,x73962,x73963)))
% 199.17/199.22 [7819]E(f317(f317(f242(x78191,x78191),f501(x78192,x78193,x78191)),f501(x78192,x78193,x78191)),x78193)+~P1(f317(f317(f319(f906(x78191,x78191)),x78193),f253(x78191,x78192)))
% 199.17/199.22 [7942]~P1(f317(f317(f319(x79421),f513(x79423,x79422,x79421)),f306(x79421,x79423)))+P1(f317(f317(f319(x79421),x79422),f306(x79421,x79423)))
% 199.17/199.22 [7943]~P1(f317(f317(f319(x79431),f587(x79433,x79432,x79431)),f306(x79431,x79433)))+P1(f317(f317(f319(x79431),x79432),f306(x79431,x79433)))
% 199.17/199.22 [7944]~P1(f317(f317(f319(x79441),f589(x79443,x79442,x79441)),f306(x79441,x79443)))+P1(f317(f317(f319(x79441),x79442),f306(x79441,x79443)))
% 199.17/199.22 [8033]P30(a1,x80331,f168(x80332,x80333))+P26(f317(f67(a897,a897,a1,a312),x80331),x80332,x80333)
% 199.17/199.22 [8115]~P58(x81151)+E(f317(f317(f74(x81151),f317(f317(f75(x81151),f317(f317(f30(x81151),x81152),x81153)),x81153)),f40(x81151,x81152,x81153)),x81152)
% 199.17/199.22 [8166]~E(f317(f29(x81661),x81662),f317(a102,x81663))+~P1(f317(f317(f319(x81661),f334(x81663,x81662,x81661)),f324(x81663,x81662,x81661)))
% 199.17/199.22 [8598]~P30(a1,x85981,f168(x85982,x85983))+~P26(f317(f67(a897,a897,a1,a312),x85981),x85982,x85983)
% 199.17/199.22 [8781]P1(f317(f317(f224(f907(f906(x87811,x87811),a897)),f297(x87811,x87812)),f297(x87811,x87813)))+~P1(f317(f317(f224(f907(f906(x87811,x87811),a897)),x87812),f297(x87811,x87813)))
% 199.17/199.22 [9063]E(x90631,f103(x90632))+~P1(f317(f317(f319(f906(f902(x90632),f902(x90632))),f317(f317(f242(f902(x90632),f902(x90632)),x90631),f103(x90632))),f148(x90632,x90633)))
% 199.17/199.22 [9088]E(x90881,f103(x90882))+~P1(f317(f317(f319(f906(f902(x90882),f902(x90882))),f317(f317(f242(f902(x90882),f902(x90882)),f103(x90882)),x90881)),f148(x90882,x90883)))
% 199.17/199.22 [9200]E(f317(f317(f141(x92001),f673(x92002,x92003,x92001)),f674(x92002,x92003,x92001)),x92003)+~P1(f317(f317(f319(f906(f902(x92001),f902(x92001))),f317(f317(f242(f902(x92001),f902(x92001)),f103(x92001)),x92003)),f137(x92001,x92002)))
% 199.17/199.22 [9453]~P127(x94531)+~P1(f317(f317(f225(x94531),f317(f317(f74(x94531),f317(f317(f75(x94531),x94532),x94532)),f317(f317(f75(x94531),x94533),x94533))),f2(x94531)))
% 199.17/199.22 [9508]P1(f317(f28(x95081),x95082))+~P1(f317(f317(f319(f906(f907(x95081,a897),f907(x95081,a897))),f317(f317(f242(f907(x95081,a897),f907(x95081,a897)),x95083),x95082)),f304(x95081)))
% 199.17/199.22 [9826]~P44(x98261,x98262,x98263)+P1(f317(f317(f224(a1),f317(f317(f67(f906(a1,a1),a1,x98261,f241(a1,a1)),f203(x98261)),f221(x98261,x98262,f218(x98261,x98263)))),f2(a1)))
% 199.17/199.22 [9827]~P45(x98271,x98272,x98273)+P1(f317(f317(f225(a1),f317(f317(f67(f906(a1,a1),a1,x98271,f241(a1,a1)),f203(x98271)),f221(x98271,x98272,f218(x98271,x98273)))),f2(a1)))
% 199.17/199.22 [9958]P45(x99581,x99582,x99583)+~P1(f317(f317(f225(a1),f317(f317(f67(f906(a1,a1),a1,x99581,f241(a1,a1)),f203(x99581)),f221(x99581,x99582,f218(x99581,x99583)))),f2(a1)))
% 199.17/199.22 [9959]P44(x99591,x99592,x99593)+~P1(f317(f317(f224(a1),f317(f317(f67(f906(a1,a1),a1,x99591,f241(a1,a1)),f203(x99591)),f221(x99591,x99592,f218(x99591,x99593)))),f2(a1)))
% 199.17/199.22 [10383]~P119(x103831)+~P1(f317(f317(f225(x103831),f317(f317(f74(x103831),f317(f317(f234(x103831),x103832),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))),f317(f317(f234(x103831),x103833),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))))),f2(x103831)))
% 199.17/199.22 [4803]~E(x48033,f103(x48031))+E(f317(f317(f124(x48031),x48032),x48033),x48032)
% 199.17/199.22 [4804]~E(x48042,f103(x48041))+E(f317(f317(f124(x48041),x48042),x48043),x48043)
% 199.17/199.22 [4810]~E(x48102,f2(a901))+E(f317(f317(f165(x48101),x48102),x48103),f103(x48101))
% 199.17/199.22 [4819]~E(x48193,f103(x48191))+E(f317(f317(f165(x48191),x48192),x48193),f103(x48191))
% 199.17/199.22 [4858]~E(x48581,x48583)+E(x48581,f317(f317(f124(x48582),f103(x48582)),x48583))
% 199.17/199.22 [4947]~P66(x49472)+E(f317(f179(f907(x49471,x49472)),x49473),f179(x49472))
% 199.17/199.22 [4948]~P114(x49482)+E(f317(f232(f907(x49481,x49482)),x49483),f232(x49482))
% 199.17/199.22 [4967]E(x49671,f103(x49672))+~E(f317(f317(f124(x49672),x49673),x49671),x49673)
% 199.17/199.22 [4968]E(x49681,f103(x49682))+~E(f317(f317(f124(x49682),x49681),x49683),x49683)
% 199.17/199.22 [4976]E(x49761,f103(x49762))+~E(f317(f317(f124(x49762),x49763),x49761),f103(x49762))
% 199.17/199.22 [4977]E(x49771,f103(x49772))+~E(f317(f317(f124(x49772),x49771),x49773),f103(x49772))
% 199.17/199.22 [5006]~E(x50062,f2(a901))+E(f317(f317(f75(a901),x50061),x50062),f317(f317(f75(a901),x50063),x50062))
% 199.17/199.22 [5008]~E(x50081,f2(a901))+E(f317(f317(f75(a901),x50081),x50082),f317(f317(f75(a901),x50081),x50083))
% 199.17/199.22 [5067]~P67(x50671)+E(f317(f317(f91(x50671),x50672),x50673),f317(f317(f91(x50671),x50673),x50672))
% 199.17/199.22 [5068]~P68(x50681)+E(f317(f317(f91(x50681),x50682),x50683),f317(f317(f91(x50681),x50683),x50682))
% 199.17/199.22 [5070]~P108(x50701)+E(f317(f317(f228(x50701),x50702),x50703),f317(f317(f228(x50701),x50703),x50702))
% 199.17/199.22 [5072]~P108(x50721)+E(f317(f317(f178(x50721),x50722),x50723),f317(f317(f178(x50721),x50723),x50722))
% 199.17/199.22 [5073]~P68(x50731)+E(f317(f317(f92(x50731),x50732),x50733),f317(f317(f92(x50731),x50733),x50732))
% 199.17/199.22 [5075]~P103(x50751)+E(f317(f317(f92(x50751),x50752),x50753),f317(f317(f92(x50751),x50753),x50752))
% 199.17/199.22 [5076]~P118(x50761)+E(f317(f317(f74(x50761),x50762),x50763),f317(f317(f74(x50761),x50763),x50762))
% 199.17/199.22 [5077]~P118(x50771)+E(f317(f317(f75(x50771),x50772),x50773),f317(f317(f75(x50771),x50773),x50772))
% 199.17/199.22 [5140]E(f40(a901,x51401,x51402),f2(a901))+~E(x51401,f317(f317(f75(a901),x51402),x51403))
% 199.17/199.22 [5141]E(f40(a1,x51411,x51412),f2(a1))+~E(x51411,f317(f317(f75(a1),x51412),x51413))
% 199.17/199.22 [5205]E(x52051,x52052)+~E(f317(f317(f74(a901),x52053),x52051),f317(f317(f74(a901),x52053),x52052))
% 199.17/199.22 [5206]E(x52061,x52062)+~E(f317(f317(f74(a901),x52061),x52063),f317(f317(f74(a901),x52062),x52063))
% 199.17/199.22 [5215]~P89(x52151)+E(f317(f317(f92(x52151),x52152),f317(f73(x52151),x52153)),f317(f317(f3(x52151),x52152),x52153))
% 199.17/199.22 [5216]~P71(x52161)+E(f317(f317(f74(x52161),x52162),f317(f73(x52161),x52163)),f317(f317(f3(x52161),x52162),x52163))
% 199.17/199.22 [5217]~P78(x52171)+E(f317(f317(f74(x52171),x52172),f317(f73(x52171),x52173)),f317(f317(f3(x52171),x52172),x52173))
% 199.17/199.22 [5218]~P113(x52181)+E(f317(f317(f74(x52181),x52182),f317(f73(x52181),x52183)),f317(f317(f3(x52181),x52182),x52183))
% 199.17/199.22 [5219]~P78(x52191)+E(f317(f317(f3(x52191),x52192),f317(f73(x52191),x52193)),f317(f317(f74(x52191),x52192),x52193))
% 199.17/199.22 [5257]~P1(f317(x52573,x52572))+P1(f317(f317(f319(x52571),x52572),x52573))
% 199.17/199.22 [5259]~P72(x52592)+E(f317(f317(f8(x52591,x52592),x52593),f179(f907(x52591,a897))),f2(x52592))
% 199.17/199.22 [5261]~P79(x52612)+E(f317(f317(f11(x52611,x52612),x52613),f179(f907(x52611,a897))),f72(x52612))
% 199.17/199.22 [5313]~E(x53132,f317(f317(f74(a901),x53131),x53133))+P1(f317(f317(f224(a901),x53131),x53132))
% 199.17/199.22 [5316]~E(x53162,f179(f907(x53161,a897)))+E(f317(f317(f55(x53161),x53162),x53163),f179(f907(f907(x53161,a897),a897)))
% 199.17/199.22 [5317]~E(x53172,f179(f907(x53171,a897)))+E(f179(f907(f907(x53171,a897),a897)),f317(f317(f55(x53171),x53172),x53173))
% 199.17/199.22 [5386]~E(f317(f273(x53862,x53863),x53861),f179(f907(x53863,a897)))+E(x53861,f179(f907(f906(x53862,x53863),a897)))
% 199.17/199.22 [5387]~E(f317(f254(x53872,x53873),x53871),f179(f907(x53872,a897)))+E(x53871,f179(f907(f906(x53872,x53873),a897)))
% 199.17/199.22 [5420]E(f317(f273(x54201,x54202),x54203),f179(f907(x54202,a897)))+~E(x54203,f179(f907(f906(x54201,x54202),a897)))
% 199.17/199.22 [5421]E(f317(f254(x54211,x54212),x54213),f179(f907(x54211,a897)))+~E(x54213,f179(f907(f906(x54211,x54212),a897)))
% 199.17/199.22 [5425]E(f264(x54251,x54252,x54253),f317(f317(f3(a89),x54252),x54253))+P1(f317(f317(f225(a89),x54252),x54253))
% 199.17/199.22 [5441]P1(f317(x54411,x54412))+~P1(f317(f317(f319(x54413),x54412),x54411))
% 199.17/199.22 [5480]E(x54801,x54802)+~E(f317(f73(f907(x54803,a897)),x54801),f317(f73(f907(x54803,a897)),x54802))
% 199.17/199.22 [5491]~E(x54911,f179(f907(x54912,a897)))+~P1(f317(f317(f319(x54912),x54913),x54911))
% 199.17/199.22 [5522]~E(x55222,f317(f317(f74(a1),x55221),f317(f90(a1),x55223)))+P1(f317(f317(f224(a1),x55221),x55222))
% 199.17/199.22 [5536]E(f317(f317(f299(x55361),x55362),x55363),x55363)+~P1(f317(f317(f319(x55361),x55362),x55363))
% 199.17/199.22 [5547]E(x55471,f179(f907(x55472,a897)))+~E(f317(f317(f55(x55472),x55471),x55473),f179(f907(f907(x55472,a897),a897)))
% 199.17/199.22 [5548]E(x55481,f179(f907(x55482,a897)))+~E(f179(f907(f907(x55482,a897),a897)),f317(f317(f55(x55482),x55481),x55483))
% 199.17/199.22 [5554]~P110(x55541)+E(f317(f317(f75(x55541),f317(f73(x55541),x55542)),f317(f73(x55541),x55543)),f317(f317(f75(x55541),x55542),x55543))
% 199.17/199.22 [5556]~P61(x55561)+E(f317(f317(f280(x55561),f317(f73(x55561),x55562)),f317(f73(x55561),x55563)),f317(f317(f280(x55561),x55562),x55563))
% 199.17/199.22 [5586]~P1(f317(x55863,x55862))+P1(f317(f317(f319(x55861),x55862),f317(f252(x55861),x55863)))
% 199.17/199.22 [5613]E(x56131,f2(a901))+E(f317(f162(x56132),f159(x56132,x56131,x56133)),f317(f317(f299(x56132),x56133),f179(f907(x56132,a897))))
% 199.17/199.22 [5632]E(f160(x56321,x56322,x56323),x56323)+P1(f317(f317(f319(x56321),x56322),f317(f162(x56321),x56323)))
% 199.17/199.22 [5719]~P1(f317(f127(x57191),x57193))+P1(f317(f127(x57191),f317(f126(x57191,x57192),x57193)))
% 199.17/199.22 [5762]~P58(x57621)+E(f317(f317(f30(x57621),f40(x57621,x57622,x57623)),x57623),f2(x57621))
% 199.17/199.22 [5781]E(f166(x57811,f317(f317(f141(x57811),x57812),f103(x57811)),x57813),f103(x57811))+P1(f317(f317(f319(a901),f2(a901)),x57813))
% 199.17/199.22 [5787]E(x57871,f2(a901))+E(f317(f161(x57872),f159(x57872,x57871,x57873)),f159(x57872,f317(f317(f3(a901),x57871),f72(a901)),x57873))
% 199.17/199.22 [5838]E(f317(f317(f141(x58381),x58382),x58383),f130(x58381,x58382,x58383))+P1(f317(f317(f319(x58381),x58382),f317(f162(x58381),x58383)))
% 199.17/199.22 [5847]E(x58471,x58472)+~E(f317(f317(f75(a901),f317(a102,x58473)),x58471),f317(f317(f75(a901),f317(a102,x58473)),x58472))
% 199.17/199.22 [5848]~E(x58482,f317(f317(f74(a1),x58481),f317(f90(a1),f317(a102,x58483))))+P1(f317(f317(f225(a1),x58481),x58482))
% 199.17/199.22 [5918]~P27(x59181,x59182,x59183)+P28(a901,x59181,f129(a901,f317(f293(a901,x59182),x59183)))
% 199.17/199.22 [5971]~E(x59713,f103(x59711))+E(f317(f317(f317(f173(f902(x59711),f902(x59711)),x59712),f157(x59711)),x59713),f103(x59711))
% 199.17/199.22 [5975]P1(f317(x59751,x59752))+~P1(f317(f317(f319(x59753),x59752),f317(f252(x59753),x59751)))
% 199.17/199.22 [6008]E(x60081,x60082)+~E(f317(f317(f299(x60083),x60081),f179(f907(x60083,a897))),f317(f317(f299(x60083),x60082),f179(f907(x60083,a897))))
% 199.17/199.22 [6023]~P109(x60231)+E(f317(f317(f92(f907(x60231,a897)),f317(f290(x60231),x60232)),f317(f293(x60231,x60232),x60233)),f179(f907(x60231,a897)))
% 199.17/199.22 [6062]E(f130(x60621,x60622,x60623),x60623)+~P1(f317(f317(f319(x60621),x60622),f317(f162(x60621),x60623)))
% 199.17/199.22 [6084]~P82(x60841)+E(f317(f300(x60841,x60841,f73(x60841)),f317(f293(x60841,x60842),x60843)),f295(x60841,f317(f73(x60841),x60843),f317(f73(x60841),x60842)))
% 199.17/199.22 [6095]E(f317(f180(f902(x60951)),f160(x60951,x60952,x60953)),f317(f180(f902(x60951)),x60953))+P1(f317(f317(f319(x60951),x60952),f317(f162(x60951),x60953)))
% 199.17/199.22 [6148]~P109(x61481)+E(f317(f317(f92(f907(x61481,a897)),f317(f293(x61481,x61482),x61483)),f317(f272(x61481),x61483)),f179(f907(x61481,a897)))
% 199.17/199.22 [6168]~P82(x61681)+E(f317(f300(x61681,x61681,f73(x61681)),f296(x61681,x61682,x61683)),f296(x61681,f317(f73(x61681),x61683),f317(f73(x61681),x61682)))
% 199.17/199.22 [6169]~P82(x61691)+E(f317(f300(x61691,x61691,f73(x61691)),f294(x61691,x61692,x61693)),f294(x61691,f317(f73(x61691),x61693),f317(f73(x61691),x61692)))
% 199.17/199.22 [6235]E(f166(x62351,f317(f317(f141(x62351),x62352),f103(x62351)),x62353),f317(f317(f141(x62351),x62352),f103(x62351)))+~P1(f317(f317(f319(a901),f2(a901)),x62353))
% 199.17/199.22 [6242]P27(x62421,x62422,x62423)+~P28(a901,x62421,f129(a901,f317(f293(a901,x62422),x62423)))
% 199.17/199.22 [6245]~P82(x62451)+E(f317(f300(x62451,x62451,f73(x62451)),f295(x62451,x62452,x62453)),f317(f293(x62451,f317(f73(x62451),x62453)),f317(f73(x62451),x62452)))
% 199.17/199.22 [6267]~P59(x62671)+E(f40(x62671,f317(f73(x62671),f40(x62671,x62672,x62673)),x62673),f40(x62671,f317(f73(x62671),x62672),x62673))
% 199.17/199.22 [6361]~P1(f317(f28(f906(x63612,x63611)),x63613))+P1(f317(f28(x63611),f317(f273(x63612,x63611),x63613)))
% 199.17/199.22 [6362]~P1(f317(f28(f906(x63621,x63622)),x63623))+P1(f317(f28(x63621),f317(f254(x63621,x63622),x63623)))
% 199.17/199.22 [6367]~P109(x63671)+E(f317(f317(f92(f907(x63671,a897)),f296(x63671,x63672,x63673)),f317(f272(x63671),x63673)),f179(f907(x63671,a897)))
% 199.17/199.22 [6368]~P109(x63681)+E(f317(f317(f92(f907(x63681,a897)),f295(x63681,x63682,x63683)),f317(f291(x63681),x63683)),f179(f907(x63681,a897)))
% 199.17/199.22 [6369]~P109(x63691)+E(f317(f317(f92(f907(x63691,a897)),f294(x63691,x63692,x63693)),f317(f291(x63691),x63693)),f179(f907(x63691,a897)))
% 199.17/199.22 [6439]E(f317(f317(f154(x64391),x64392),f610(x64392,x64393,x64391)),x64393)+~P1(f317(f317(f319(x64391),x64393),f317(f162(x64391),x64392)))
% 199.17/199.22 [6586]E(x65861,f103(x65862))+~E(f317(f317(f317(f173(f902(x65862),f902(x65862)),x65863),f157(x65862)),x65861),f103(x65862))
% 199.17/199.22 [6690]~P1(f317(f28(f906(x66902,x66901)),x66903))+P1(f317(f28(f906(x66901,x66902)),f317(f275(x66902,x66901),x66903)))
% 199.17/199.22 [6713]E(x67131,x67132)+~E(f279(a901,f276(a901),x67133,x67131),f317(f317(f299(a901),x67132),f179(f907(a901,a897))))
% 199.17/199.22 [6714]E(x67141,x67142)+~E(f279(a901,f276(a901),x67141,x67142),f317(f317(f299(a901),x67143),f179(f907(a901,a897))))
% 199.17/199.22 [6849]P53(x68491,x68492,x68493)+P1(f317(f317(f319(x68491),f583(x68493,x68492,x68491)),x68492))
% 199.17/199.22 [6850]P53(x68501,x68502,x68503)+P1(f317(f317(f319(x68501),f582(x68503,x68502,x68501)),x68502))
% 199.17/199.22 [6860]P1(f317(f305(x68601,x68602),x68603))+P1(f317(f317(x68602,f442(x68603,x68602,x68601)),x68603))
% 199.17/199.22 [6861]P1(f317(f305(x68611,x68612),x68613))+P1(f317(f317(x68612,f452(x68613,x68612,x68611)),x68613))
% 199.17/199.22 [6887]E(f317(f180(f902(x68871)),f160(x68871,x68872,x68873)),f317(f317(f3(a901),f317(f180(f902(x68871)),x68873)),f72(a901)))+~P1(f317(f317(f319(x68871),x68872),f317(f162(x68871),x68873)))
% 199.17/199.22 [6924]P1(f317(f238(x69241,x69242),x69243))+P1(f317(f317(f319(x69241),f559(x69243,x69242,x69241)),x69243))
% 199.17/199.22 [6932]~P1(f317(f28(f906(x69322,x69321)),f317(f275(x69321,x69322),x69323)))+P1(f317(f28(f906(x69321,x69322)),x69323))
% 199.17/199.22 [6992]~P1(f317(f317(f319(x69921),x69922),f317(f162(x69921),f104(x69921,x69923))))+P1(f317(f317(f319(x69921),x69922),f317(f162(x69921),x69923)))
% 199.17/199.22 [7027]E(f317(f126(x70271,x70272),x70273),x70273)+P1(f317(f317(f319(x70271),f654(x70273,x70272,x70271)),f317(f162(x70271),x70273)))
% 199.17/199.22 [7043]E(f317(f126(x70431,x70432),x70433),f103(x70431))+P1(f317(f317(f319(x70431),f653(x70433,x70432,x70431)),f317(f162(x70431),x70433)))
% 199.17/199.22 [7069]P28(x70691,x70692,x70693)+P1(f317(f317(f319(x70691),f740(x70693,x70692,x70691)),f317(f162(x70691),x70693)))
% 199.17/199.22 [7070]P28(x70701,x70702,x70703)+P1(f317(f317(f319(x70701),f748(x70703,x70702,x70701)),f317(f162(x70701),x70703)))
% 199.17/199.22 [7071]P28(x70711,x70712,x70713)+P1(f317(f317(f319(x70711),f746(x70712,x70713,x70711)),f317(f162(x70711),x70713)))
% 199.17/199.22 [7074]E(f167(x70741,x70742,x70743),x70743)+P1(f317(f317(f319(x70741),f699(x70743,x70742,x70741)),f317(f162(x70741),x70743)))
% 199.17/199.22 [7150]P1(f317(f150(x71501,x71502),x71503))+P1(f317(f317(f319(x71501),f655(x71503,x71502,x71501)),f317(f162(x71501),x71503)))
% 199.17/199.22 [7159]~P30(x71591,x71593,x71592)+P1(f317(f317(f319(x71591),f732(x71592,x71593,x71591)),f317(f162(x71591),x71592)))
% 199.17/199.22 [7160]~P32(x71601,x71603,x71602)+P1(f317(f317(f319(x71601),f739(x71602,x71603,x71601)),f317(f162(x71601),x71602)))
% 199.17/199.22 [7161]~P32(x71611,x71613,x71612)+P1(f317(f317(f319(x71611),f749(x71612,x71613,x71611)),f317(f162(x71611),x71612)))
% 199.17/199.22 [7162]~P30(x71621,x71622,x71623)+P1(f317(f317(f319(x71621),f776(x71622,x71623,x71621)),f317(f162(x71621),x71623)))
% 199.17/199.22 [7163]~P30(x71631,x71633,x71632)+P1(f317(f317(f319(x71631),f777(x71632,x71633,x71631)),f317(f162(x71631),x71632)))
% 199.17/199.22 [7196]P1(f317(f317(f319(x71961),x71962),f871(x71963,x71962,x71961)))+~P1(f317(f317(f319(x71961),x71962),f31(f907(x71961,a897),x71963)))
% 199.17/199.22 [7197]~P72(x71971)+E(f317(f317(f74(x71971),f317(f317(f8(a901,x71971),x71972),f317(f290(a901),x71973))),f317(x71972,x71973)),f317(f317(f8(a901,x71971),x71972),f317(f290(a901),f317(a102,x71973))))
% 199.17/199.22 [7209]P27(x72091,x72092,x72093)+P1(f317(f317(f319(a901),f810(x72093,x72092,x72091)),f317(f293(a901,x72092),x72093)))
% 199.17/199.22 [7289]~P30(x72892,x72891,x72893)+P1(f317(x72891,f317(f317(f154(x72892),x72893),f735(x72893,x72891,x72892))))
% 199.17/199.22 [7300]~P1(f317(f317(f319(x73001),x73002),f365(x73002,x73003,x73001)))+P1(f317(f317(f319(x73001),x73002),f32(f907(x73001,a897),x73003)))
% 199.17/199.22 [7333]~P72(x73331)+E(f317(f317(f74(x73331),f317(f317(f8(a901,x73331),x73332),f317(f292(a901),x73333))),f317(x73332,f317(a102,x73333))),f317(f317(f8(a901,x73331),x73332),f317(f292(a901),f317(a102,x73333))))
% 199.17/199.22 [7465]P1(f317(f317(f319(f902(x74651)),x74652),f151(x74651,x74653)))+P1(f317(f317(f319(x74651),f640(x74653,x74652,x74651)),f317(f162(x74651),x74652)))
% 199.17/199.22 [7480]~P1(f317(f317(f319(f902(x74801)),x74802),f151(x74801,f306(x74801,x74803))))+P1(f317(f317(f319(f902(x74801)),x74802),f306(f902(x74801),f147(x74801,x74803))))
% 199.17/199.22 [7504]~P1(f317(f317(f319(f902(x75041)),x75042),f306(f902(x75041),f147(x75041,x75043))))+P1(f317(f317(f319(f902(x75041)),x75042),f151(x75041,f306(x75041,x75043))))
% 199.17/199.22 [7536]E(f317(f317(f317(f173(f902(x75361),f902(x75361)),x75362),f157(x75361)),x75363),x75363)+~P1(f317(f317(f224(a901),f317(f180(f902(x75361)),x75363)),f72(a901)))
% 199.17/199.22 [7569]E(f317(f317(f124(x75691),f742(x75692,x75693,x75691)),f317(f317(f141(x75691),x75693),f743(x75692,x75693,x75691))),x75692)+~P1(f317(f317(f319(x75691),x75693),f317(f162(x75691),x75692)))
% 199.17/199.22 [7570]E(f317(f317(f124(x75701),f737(x75702,x75703,x75701)),f317(f317(f141(x75701),x75703),f738(x75702,x75703,x75701))),x75702)+~P1(f317(f317(f319(x75701),x75703),f317(f162(x75701),x75702)))
% 199.17/199.22 [7571]E(f317(f317(f124(x75711),f744(x75712,x75713,x75711)),f317(f317(f141(x75711),x75713),f745(x75712,x75713,x75711))),x75712)+~P1(f317(f317(f319(x75711),x75713),f317(f162(x75711),x75712)))
% 199.17/199.22 [7592]~P22(x75921,x75922,x75923,f232(f907(x75921,a897)))+P22(f902(x75921),f902(x75922),f317(f144(x75921,x75922),x75923),f232(f907(f902(x75921),a897)))
% 199.17/199.22 [7742]E(x77421,f317(f317(f74(a901),f317(f317(f75(a901),f317(f241(a901,a901),x77422)),x77423)),f317(f246(a901,a901),x77422)))+~P1(f317(f43(x77421,x77423),x77422))
% 199.17/199.22 [7750]P22(x77501,x77502,x77503,f232(f907(x77501,a897)))+~P22(f902(x77501),f902(x77502),f317(f144(x77501,x77502),x77503),f232(f907(f902(x77501),a897)))
% 199.17/199.22 [7795]P1(f317(f317(f319(f907(x77951,a897)),f365(x77952,x77953,x77951)),x77953))+P1(f317(f317(f319(x77951),x77952),f32(f907(x77951,a897),x77953)))
% 199.17/199.22 [7888]P1(f317(f317(f319(f902(x78881)),x78882),f151(x78881,x78883)))+~P1(f317(f317(f319(x78881),f640(x78883,x78882,x78881)),x78883))
% 199.17/199.22 [7987]P28(x79871,x79872,x79873)+~P1(f317(x79872,f317(f317(f154(x79871),x79873),f741(x79873,x79872,x79871))))
% 199.17/199.22 [8012]E(x80121,x80122)+~E(f317(f317(f9(x80123,f907(x80123,a897),a897),f319(x80123)),x80121),f317(f317(f9(x80123,f907(x80123,a897),a897),f319(x80123)),x80122))
% 199.17/199.22 [8020]~P1(f317(f317(f319(f906(x80201,x80201)),x80203),f253(x80201,x80202)))+P1(f317(f317(f319(x80201),f501(x80202,x80203,x80201)),x80202))
% 199.17/199.22 [8022]~P1(f317(f317(f319(x80221),x80223),f31(f907(x80221,a897),x80222)))+P1(f317(f317(f319(f907(x80221,a897)),f871(x80222,x80223,x80221)),x80222))
% 199.17/199.22 [8135]P22(x81351,x81352,f85(x81352,x81351,f232(f907(x81352,a897)),x81353),f232(f907(x81351,a897)))+~E(f317(f300(x81352,x81351,x81353),f232(f907(x81352,a897))),f232(f907(x81351,a897)))
% 199.17/199.22 [8192]~P1(f317(f317(f319(x81921),x81922),f317(f162(x81921),f737(x81923,x81922,x81921))))+~P1(f317(f317(f319(x81921),x81922),f317(f162(x81921),x81923)))
% 199.17/199.22 [8193]~P1(f317(f317(f319(x81931),x81932),f317(f162(x81931),f745(x81933,x81932,x81931))))+~P1(f317(f317(f319(x81931),x81932),f317(f162(x81931),x81933)))
% 199.17/199.22 [8223]P27(f317(f67(a897,a897,a901,a312),x82231),x82232,x82233)+P30(a901,x82231,f129(a901,f317(f293(a901,x82232),x82233)))
% 199.17/199.22 [8383]E(x83831,f103(x83832))+P1(f317(f317(f319(x83832),f317(f241(x83832,f906(a89,a89)),f317(f265(x83832,x83831),x83833))),f317(f162(x83832),x83831)))
% 199.17/199.22 [8479]~P75(x84791)+E(f317(f132(x84791,x84791,f317(f9(x84791,x84791,x84791),f74(x84791)),x84792),f317(f158(x84791),x84793)),f317(f132(x84791,x84791,f74(x84791),x84792),x84793))
% 199.17/199.22 [8670]~P22(x86702,x86701,x86703,f232(f907(x86702,a897)))+E(f317(f300(x86701,x86702,f85(x86702,x86701,f232(f907(x86702,a897)),x86703)),f232(f907(x86701,a897))),f232(f907(x86702,a897)))
% 199.17/199.22 [8740]~P27(f317(f67(a897,a897,a901,a312),x87401),x87402,x87403)+~P30(a901,x87401,f129(a901,f317(f293(a901,x87402),x87403)))
% 199.17/199.22 [8982]~P108(x89821)+E(f317(f162(x89821),f139(x89821,x89821,f7(x89821),x89822,x89823)),f317(f317(f299(x89821),x89822),f317(f162(x89821),x89823)))
% 199.17/199.22 [8992]~E(f317(x89923,f317(f85(x89921,x89922,f232(f907(x89921,a897)),x89923),f792(x89923,x89922,x89921))),f792(x89923,x89922,x89921))+E(f317(f300(x89921,x89922,x89923),f232(f907(x89921,a897))),f232(f907(x89922,a897)))
% 199.17/199.22 [8994]P1(f317(f317(f225(a901),f2(a901)),f606(x89941,x89942,x89943)))+~P1(f317(f317(f319(f906(x89943,x89943)),x89942),f317(f317(f278(x89943,x89943,x89943),x89941),f297(x89943,x89941))))
% 199.17/199.22 [9265]~P55(x92651,x92652)+~P1(f317(f317(f319(f906(x92651,x92651)),f317(f317(f242(x92651,x92651),x92653),x92653)),f317(f317(f278(x92651,x92651,x92651),x92652),f297(x92651,x92652))))
% 199.17/199.22 [9408]~E(f317(f317(f92(f907(f906(x94081,x94081),a897)),f317(f275(x94081,x94081),x94082)),f297(x94081,x94082)),f179(f907(f906(x94081,x94081),a897)))+~P1(f317(f317(f319(f906(x94081,x94081)),f317(f317(f242(x94081,x94081),x94083),x94083)),f317(f317(f278(x94081,x94081,x94081),x94082),f297(x94081,x94082))))
% 199.17/199.22 [9594]~P1(f317(f28(x95941),x95942))+P1(f317(f317(f224(a901),f317(f29(x95941),f317(f317(f3(f907(x95941,a897)),x95942),f317(f317(f299(x95941),x95943),f179(f907(x95941,a897)))))),f317(f29(x95941),x95942)))
% 199.17/199.22 [5128]~E(x51283,f103(x51281))+E(f134(x51281,f317(f317(f141(x51281),x51282),x51283)),x51282)
% 199.17/199.22 [5137]~E(x51373,f103(x51371))+E(f104(x51371,f317(f317(f141(x51371),x51372),x51373)),f103(x51371))
% 199.17/199.22 [5167]E(x51671,f103(x51672))+E(f134(x51672,f317(f317(f141(x51672),x51673),x51671)),f134(x51672,x51671))
% 199.17/199.22 [5169]E(x51691,f103(x51692))+E(f134(x51692,f317(f317(f124(x51692),x51693),x51691)),f134(x51692,x51691))
% 199.17/199.22 [5175]~E(x51753,f103(x51751))+E(f104(x51751,f317(f317(f124(x51751),x51752),x51753)),f104(x51751,x51752))
% 199.17/199.22 [5177]~E(x51773,f103(x51771))+E(f134(x51771,f317(f317(f124(x51771),x51772),x51773)),f134(x51771,x51772))
% 199.17/199.22 [5209]E(x52091,f103(x52092))+E(f317(f131(x52092),f317(f317(f124(x52092),x52091),x52093)),f317(f131(x52092),x52091))
% 199.17/199.22 [5237]~E(x52372,f103(x52371))+E(f317(f131(x52371),f317(f317(f124(x52371),x52372),x52373)),f317(f131(x52371),x52373))
% 199.17/199.22 [5289]~P68(x52891)+E(f317(f317(f91(x52891),x52892),f317(f317(f92(x52891),x52892),x52893)),x52892)
% 199.17/199.22 [5290]~P108(x52901)+E(f317(f317(f228(x52901),x52902),f317(f317(f178(x52901),x52902),x52903)),x52902)
% 199.17/199.22 [5291]~P108(x52911)+E(f317(f317(f178(x52911),x52912),f317(f317(f228(x52911),x52912),x52913)),x52912)
% 199.17/199.22 [5292]~P68(x52921)+E(f317(f317(f92(x52921),x52922),f317(f317(f91(x52921),x52922),x52923)),x52922)
% 199.17/199.22 [5311]~P58(x53111)+E(f40(x53111,f317(f317(f75(x53111),x53112),x53113),x53113),f2(x53111))
% 199.17/199.22 [5312]~P58(x53121)+E(f40(x53121,f317(f317(f75(x53121),x53122),x53123),x53122),f2(x53121))
% 199.17/199.22 [5380]~P71(x53801)+E(f317(f73(x53801),f317(f317(f3(x53801),x53802),x53803)),f317(f317(f3(x53801),x53803),x53802))
% 199.17/199.22 [5445]E(x54451,f103(x54452))+E(f104(x54452,f317(f317(f141(x54452),x54453),x54451)),f317(f317(f141(x54452),x54453),f104(x54452,x54451)))
% 199.17/199.22 [5446]E(x54461,f103(x54462))+E(f104(x54462,f317(f317(f124(x54462),x54463),x54461)),f317(f317(f124(x54462),x54463),f104(x54462,x54461)))
% 199.17/199.22 [5449]~P3(x54491)+E(f31(x54491,f317(f317(f299(x54491),x54492),x54493)),f317(f317(f91(x54491),x54492),f31(x54491,x54493)))
% 199.17/199.22 [5450]~P3(x54501)+E(f32(x54501,f317(f317(f299(x54501),x54502),x54503)),f317(f317(f92(x54501),x54502),f32(x54501,x54503)))
% 199.17/199.22 [5497]~P67(x54971)+E(f317(f317(f91(x54971),x54972),f317(f317(f91(x54971),x54972),x54973)),f317(f317(f91(x54971),x54972),x54973))
% 199.17/199.22 [5498]~P68(x54981)+E(f317(f317(f91(x54981),x54982),f317(f317(f91(x54981),x54982),x54983)),f317(f317(f91(x54981),x54982),x54983))
% 199.17/199.22 [5500]~P108(x55001)+E(f317(f317(f228(x55001),x55002),f317(f317(f228(x55001),x55002),x55003)),f317(f317(f228(x55001),x55002),x55003))
% 199.17/199.22 [5502]~P108(x55021)+E(f317(f317(f178(x55021),x55022),f317(f317(f178(x55021),x55022),x55023)),f317(f317(f178(x55021),x55022),x55023))
% 199.17/199.22 [5503]~P68(x55031)+E(f317(f317(f92(x55031),x55032),f317(f317(f92(x55031),x55032),x55033)),f317(f317(f92(x55031),x55032),x55033))
% 199.17/199.22 [5505]~P103(x55051)+E(f317(f317(f92(x55051),x55052),f317(f317(f92(x55051),x55052),x55053)),f317(f317(f92(x55051),x55052),x55053))
% 199.17/199.22 [5506]~P99(x55061)+E(f317(f317(f75(x55061),x55062),f317(f317(f75(x55061),x55062),x55063)),f317(f317(f75(x55061),x55062),x55063))
% 199.17/199.22 [5513]~P58(x55131)+E(f40(x55131,f317(f317(f74(x55131),x55132),x55133),x55133),f40(x55131,x55132,x55133))
% 199.17/199.22 [5514]~P58(x55141)+E(f40(x55141,f317(f317(f74(x55141),x55142),x55143),x55142),f40(x55141,x55143,x55142))
% 199.17/199.22 [5523]~P110(x55231)+E(f317(f317(f75(x55231),x55232),f317(f73(x55231),x55233)),f317(f73(x55231),f317(f317(f75(x55231),x55232),x55233)))
% 199.17/199.22 [5524]~P61(x55241)+E(f317(f317(f280(x55241),x55242),f317(f73(x55241),x55243)),f317(f73(x55241),f317(f317(f280(x55241),x55242),x55243)))
% 199.17/199.22 [5525]~P85(x55251)+E(f317(f317(f74(x55251),x55252),f317(f155(x55251),x55253)),f317(f155(x55251),f317(f317(f141(x55251),x55252),x55253)))
% 199.17/199.22 [5553]~P110(x55531)+E(f317(f317(f75(x55531),f317(f73(x55531),x55532)),x55533),f317(f317(f75(x55531),x55532),f317(f73(x55531),x55533)))
% 199.17/199.22 [5560]~P6(x55601,x55602,x55603)+E(f31(f907(x55601,a897),f317(f317(f55(x55601),x55602),x55603)),x55602)
% 199.17/199.22 [5624]~P115(x56241)+E(f317(f317(f75(x56241),x56242),f317(f317(f234(x56241),x56242),x56243)),f317(f317(f234(x56241),x56242),f317(a102,x56243)))
% 199.17/199.22 [5625]~P118(x56251)+E(f317(f317(f75(x56251),x56252),f317(f317(f234(x56251),x56252),x56253)),f317(f317(f234(x56251),x56252),f317(a102,x56253)))
% 199.17/199.22 [5635]~P78(x56351)+E(f317(f317(f74(x56351),f317(f73(x56351),x56352)),f317(f317(f74(x56351),x56352),x56353)),x56353)
% 199.17/199.22 [5658]~P146(x56581)+E(f317(f317(f234(x56581),f317(f90(x56581),x56582)),x56583),f317(f90(x56581),f317(f317(f234(a901),x56582),x56583)))
% 199.17/199.22 [5659]~P141(x56591)+E(f317(f317(f234(x56591),f317(f93(x56591),x56592)),x56593),f317(f93(x56591),f317(f317(f234(a1),x56592),x56593)))
% 199.17/199.22 [5665]~P88(x56651)+E(f317(f70(x56651),f317(f317(f3(x56651),x56652),x56653)),f317(f70(x56651),f317(f317(f3(x56651),x56653),x56652)))
% 199.17/199.22 [5669]~P119(x56691)+E(f317(f317(f75(x56691),f76(x56691,x56692)),f76(x56691,x56693)),f76(x56691,f317(f317(f75(x56691),x56692),x56693)))
% 199.17/199.22 [5673]E(x56731,f103(x56732))+E(f317(f317(f124(x56732),f317(f161(x56732),x56731)),x56733),f317(f161(x56732),f317(f317(f124(x56732),x56731),x56733)))
% 199.17/199.22 [5679]~E(x56792,f317(a102,f317(f317(f74(a901),x56791),x56793)))+P1(f317(f317(f225(a901),x56791),x56792))
% 199.17/199.22 [5680]~P110(x56801)+E(f317(f317(f75(x56801),f317(f73(x56801),x56802)),x56803),f317(f73(x56801),f317(f317(f75(x56801),x56802),x56803)))
% 199.17/199.22 [5681]~P122(x56811)+E(f317(f317(f280(x56811),f317(f73(x56811),x56812)),x56813),f317(f73(x56811),f317(f317(f280(x56811),x56812),x56813)))
% 199.17/199.22 [5682]~P119(x56821)+E(f317(f317(f234(x56821),f317(f70(x56821),x56822)),x56823),f317(f70(x56821),f317(f317(f234(x56821),x56822),x56823)))
% 199.17/199.22 [5780]E(f595(x57801,x57802,x57803),f605(x57801,x57802,x57803))+E(f317(f317(f92(f907(x57803,a897)),x57802),x57801),f179(f907(x57803,a897)))
% 199.17/199.22 [5795]~P72(x57952)+E(f317(f317(f8(x57951,x57952),f317(f18(x57952,x57951),f2(x57952))),x57953),f2(x57952))
% 199.17/199.22 [5796]~P79(x57962)+E(f317(f317(f11(x57961,x57962),f317(f18(x57962,x57961),f72(x57962))),x57963),f72(x57962))
% 199.17/199.22 [5798]~P97(x57981)+E(f317(f317(f3(x57981),f317(f94(x57981),x57982)),f317(f94(x57981),x57983)),f317(f94(x57981),f317(f317(f3(a1),x57982),x57983)))
% 199.17/199.22 [5801]~P146(x58011)+E(f317(f317(f74(x58011),f317(f90(x58011),x58012)),f317(f90(x58011),x58013)),f317(f90(x58011),f317(f317(f74(a901),x58012),x58013)))
% 199.17/199.22 [5802]~P146(x58021)+E(f317(f317(f75(x58021),f317(f90(x58021),x58022)),f317(f90(x58021),x58023)),f317(f90(x58021),f317(f317(f75(a901),x58022),x58023)))
% 199.17/199.22 [5803]~P141(x58031)+E(f317(f317(f3(x58031),f317(f93(x58031),x58032)),f317(f93(x58031),x58033)),f317(f93(x58031),f317(f317(f3(a1),x58032),x58033)))
% 199.17/199.22 [5804]~P141(x58041)+E(f317(f317(f74(x58041),f317(f93(x58041),x58042)),f317(f93(x58041),x58043)),f317(f93(x58041),f317(f317(f74(a1),x58042),x58043)))
% 199.17/199.22 [5805]~P141(x58051)+E(f317(f317(f75(x58051),f317(f93(x58051),x58052)),f317(f93(x58051),x58053)),f317(f93(x58051),f317(f317(f75(a1),x58052),x58053)))
% 199.17/199.22 [5806]~P97(x58061)+E(f317(f317(f74(x58061),f317(f94(x58061),x58062)),f317(f94(x58061),x58063)),f317(f94(x58061),f317(f317(f74(a1),x58062),x58063)))
% 199.17/199.22 [5807]~P97(x58071)+E(f317(f317(f75(x58071),f317(f94(x58071),x58072)),f317(f94(x58071),x58073)),f317(f94(x58071),f317(f317(f75(a1),x58072),x58073)))
% 199.17/199.22 [5855]~E(x58553,x58552)+P1(f317(f317(f224(f907(x58551,a897)),x58552),x58553))
% 199.17/199.22 [5861]~E(x58612,x58613)+P1(f317(f317(f224(f907(x58611,a897)),x58612),x58613))
% 199.17/199.22 [5866]~P89(x58661)+E(f317(f317(f92(x58661),f317(f73(x58661),x58662)),f317(f73(x58661),x58663)),f317(f73(x58661),f317(f317(f91(x58661),x58662),x58663)))
% 199.17/199.22 [5867]~P80(x58671)+E(f317(f317(f178(x58671),f317(f73(x58671),x58672)),f317(f73(x58671),x58673)),f317(f73(x58671),f317(f317(f228(x58671),x58672),x58673)))
% 199.17/199.22 [5868]~P80(x58681)+E(f317(f317(f228(x58681),f317(f73(x58681),x58682)),f317(f73(x58681),x58683)),f317(f73(x58681),f317(f317(f178(x58681),x58682),x58683)))
% 199.17/199.22 [5869]~P89(x58691)+E(f317(f317(f91(x58691),f317(f73(x58691),x58692)),f317(f73(x58691),x58693)),f317(f73(x58691),f317(f317(f92(x58691),x58692),x58693)))
% 199.17/199.22 [5870]~P78(x58701)+E(f317(f317(f74(x58701),f317(f73(x58701),x58702)),f317(f73(x58701),x58703)),f317(f73(x58701),f317(f317(f74(x58701),x58703),x58702)))
% 199.17/199.22 [5871]~P71(x58711)+E(f317(f317(f74(x58711),f317(f73(x58711),x58712)),f317(f73(x58711),x58713)),f317(f73(x58711),f317(f317(f74(x58711),x58712),x58713)))
% 199.17/199.22 [5872]~P119(x58721)+E(f317(f317(f75(x58721),f317(f70(x58721),x58722)),f317(f70(x58721),x58723)),f317(f70(x58721),f317(f317(f75(x58721),x58722),x58723)))
% 199.17/199.22 [5873]~P63(x58731)+E(f317(f317(f280(x58731),f317(f70(x58731),x58732)),f317(f70(x58731),x58733)),f317(f70(x58731),f317(f317(f280(x58731),x58732),x58733)))
% 199.17/199.22 [5874]~P85(x58741)+E(f317(f317(f74(x58741),f317(f155(x58741),x58742)),f317(f155(x58741),x58743)),f317(f155(x58741),f317(f317(f124(x58741),x58742),x58743)))
% 199.17/199.22 [5875]E(x58751,f179(f907(x58752,a897)))+~E(f317(f317(f91(f907(x58752,a897)),x58753),x58751),f179(f907(x58752,a897)))
% 199.17/199.22 [5876]E(x58761,f179(f907(x58762,a897)))+~E(f317(f317(f91(f907(x58762,a897)),x58761),x58763),f179(f907(x58762,a897)))
% 199.17/199.22 [5877]~P148(x58771,x58772,x58773)+P1(f317(x58771,f317(f317(f30(a1),x58772),x58773)))
% 199.17/199.22 [5942]~P1(f317(f28(x59421),x59423))+P1(f317(f28(x59421),f317(f317(f299(x59421),x59422),x59423)))
% 199.17/199.22 [5943]~P1(f317(f127(x59431),x59433))+P1(f317(f127(x59431),f317(f317(f165(x59431),x59432),x59433)))
% 199.17/199.22 [5944]~P1(f317(f127(x59441),x59443))+P1(f317(f127(x59441),f317(f317(f128(x59441),x59442),x59443)))
% 199.17/199.22 [5976]~P67(x59761)+P1(f317(f317(f224(x59761),x59762),f317(f317(f91(x59761),x59763),x59762)))
% 199.17/199.22 [5977]~P68(x59771)+P1(f317(f317(f224(x59771),x59772),f317(f317(f91(x59771),x59773),x59772)))
% 199.17/199.22 [5978]~P67(x59781)+P1(f317(f317(f224(x59781),x59782),f317(f317(f91(x59781),x59782),x59783)))
% 199.17/199.22 [5979]~P68(x59791)+P1(f317(f317(f224(x59791),x59792),f317(f317(f91(x59791),x59792),x59793)))
% 199.17/199.22 [5980]~P108(x59801)+P1(f317(f317(f224(x59801),x59802),f317(f317(f178(x59801),x59803),x59802)))
% 199.17/199.22 [5981]~P108(x59811)+P1(f317(f317(f224(x59811),x59812),f317(f317(f178(x59811),x59812),x59813)))
% 199.17/199.22 [5982]~P118(x59821)+P1(f317(f317(f276(x59821),x59822),f317(f317(f75(x59821),x59823),x59822)))
% 199.17/199.22 [5983]~P118(x59831)+P1(f317(f317(f276(x59831),x59832),f317(f317(f75(x59831),x59832),x59833)))
% 199.17/199.22 [5997]~E(x59971,f2(a901))+E(f317(f317(f30(a901),f317(f317(f75(a901),x59971),x59972)),f317(f317(f75(a901),x59971),x59973)),f2(a901))
% 199.17/199.22 [6078]~P97(x60781)+E(f317(f317(f3(x60781),f317(f94(x60781),x60782)),f317(f94(x60781),x60783)),f317(f94(x60781),f317(f317(f74(a1),x60782),f317(f73(a1),x60783))))
% 199.17/199.22 [6136]E(x61361,f2(a901))+E(f317(f317(f30(a901),f317(f317(f75(a901),x61361),x61362)),f317(f317(f75(a901),x61361),x61363)),f317(f317(f30(a901),x61362),x61363))
% 199.17/199.22 [6166]E(f142(x61661,f317(f317(f141(x61661),x61662),x61663)),f317(f317(f141(x61661),x61662),f142(x61661,x61663)))+P1(f317(f317(f319(x61661),x61662),f317(f162(x61661),x61663)))
% 199.17/199.22 [6202]P148(x62021,x62022,x62023)+~P1(f317(x62021,f317(f317(f30(a1),x62022),x62023)))
% 199.17/199.22 [6276]E(x62761,f103(x62762))+E(f317(f317(f141(x62762),f317(f131(x62762),x62761)),f317(f317(f165(x62762),x62763),f317(f161(x62762),x62761))),f317(f317(f165(x62762),f317(a102,x62763)),x62761))
% 199.17/199.22 [6284]E(f317(f317(f3(f907(x62841,a897)),x62842),x62843),x62842)+~E(f317(f317(f92(f907(x62841,a897)),x62842),x62843),f179(f907(x62841,a897)))
% 199.17/199.22 [6298]E(f142(x62981,f317(f317(f141(x62981),x62982),x62983)),f142(x62981,x62983))+~P1(f317(f317(f319(x62981),x62982),f317(f162(x62981),x62983)))
% 199.17/199.22 [6329]~P1(f317(f317(f224(a901),x63291),x63293))+P1(f317(f317(f224(a901),x63291),f317(f317(f74(a901),x63292),x63293)))
% 199.17/199.22 [6331]~P1(f317(f317(f224(a901),x63311),x63312))+P1(f317(f317(f224(a901),x63311),f317(f317(f74(a901),x63312),x63313)))
% 199.17/199.22 [6333]~P1(f317(f317(f225(a901),x63331),x63333))+P1(f317(f317(f225(a901),x63331),f317(f317(f74(a901),x63332),x63333)))
% 199.17/199.22 [6335]~P1(f317(f317(f225(a901),x63351),x63352))+P1(f317(f317(f225(a901),x63351),f317(f317(f74(a901),x63352),x63353)))
% 199.17/199.22 [6375]P1(f317(f28(x63751),x63752))+~P1(f317(f28(x63751),f317(f317(f299(x63751),x63753),x63752)))
% 199.17/199.22 [6376]P1(f317(f127(x63761),x63762))+~P1(f317(f127(x63761),f317(f317(f141(x63761),x63763),x63762)))
% 199.17/199.22 [6377]P1(f317(f127(x63771),x63772))+~P1(f317(f127(x63771),f317(f317(f124(x63771),x63773),x63772)))
% 199.17/199.22 [6378]P1(f317(f127(x63781),x63782))+~P1(f317(f127(x63781),f317(f317(f124(x63781),x63782),x63783)))
% 199.17/199.22 [6429]~P118(x64291)+E(f317(f317(f74(x64291),x64292),f317(f317(f75(x64291),x64293),x64292)),f317(f317(f75(x64291),f317(f317(f74(x64291),x64293),f72(x64291))),x64292))
% 199.17/199.22 [6476]~E(x64761,x64762)+~P1(f317(f317(f225(f907(x64763,a897)),x64761),x64762))
% 199.17/199.22 [6522]P1(f317(f317(f319(x65221),x65222),x65223))+P1(f317(f317(f319(x65221),x65222),f317(f73(f907(x65221,a897)),x65223)))
% 199.17/199.22 [6528]E(f134(x65281,f317(f317(f128(x65281),x65282),x65283)),f134(x65281,x65283))+~P1(f317(f317(f225(a901),x65282),f317(f180(f902(x65281)),x65283)))
% 199.17/199.22 [6529]E(f317(f317(f165(x65291),x65292),f104(x65291,x65293)),f317(f317(f165(x65291),x65292),x65293))+~P1(f317(f317(f225(a901),x65292),f317(f180(f902(x65291)),x65293)))
% 199.17/199.22 [6588]E(f317(f317(f317(f173(f902(x65881),f902(x65881)),x65882),f157(x65881)),x65883),x65883)+~E(f40(a901,x65882,f317(f180(f902(x65881)),x65883)),f2(a901))
% 199.17/199.22 [6595]~P6(x65951,x65953,x65952)+E(f317(f317(f278(x65951,x65951,x65951),f317(f275(x65951,x65951),x65952)),x65952),x65952)
% 199.17/199.22 [6636]~E(f317(f317(f91(f907(x66361,a897)),x66362),x66363),x66363)+P1(f317(f317(f224(f907(x66361,a897)),x66362),x66363))
% 199.17/199.22 [6641]~P52(x66411,x66411,x66413)+P52(x66411,x66411,f317(f317(f173(f906(x66411,x66411),a897),x66412),x66413))
% 199.17/199.22 [6644]~P1(f317(f317(f319(x66441),x66443),f317(f162(x66441),x66442)))+P1(f317(f317(f225(a901),f2(a901)),f317(f180(f902(x66441)),x66442)))
% 199.17/199.22 [6672]~P88(x66721)+E(f317(f70(x66721),f317(f317(f74(x66721),f317(f70(x66721),x66722)),f317(f70(x66721),x66723))),f317(f317(f74(x66721),f317(f70(x66721),x66722)),f317(f70(x66721),x66723)))
% 199.17/199.22 [6683]E(f317(f317(f30(a901),f317(f317(f75(a901),x66831),x66832)),f317(f317(f75(a901),x66831),x66833)),f317(f317(f30(a901),x66832),x66833))+~P1(f317(f317(f225(a901),f2(a901)),x66831))
% 199.17/199.22 [6826]~P1(f317(f28(x68261),x68263))+E(f317(f317(f58(x68261,f907(x68261,a897),f299(x68261)),x68262),x68263),f317(f317(f91(f907(x68261,a897)),x68263),x68262))
% 199.17/199.22 [6880]E(f317(f317(f91(f907(x68801,a897)),x68802),x68803),x68802)+~P1(f317(f317(f224(f907(x68801,a897)),x68803),x68802))
% 199.17/199.22 [6882]E(f317(f317(f91(f907(x68821,a897)),x68822),x68823),x68823)+~P1(f317(f317(f224(f907(x68821,a897)),x68822),x68823))
% 199.17/199.22 [6883]E(f317(f317(f92(f907(x68831,a897)),x68832),x68833),x68833)+~P1(f317(f317(f224(f907(x68831,a897)),x68833),x68832))
% 199.17/199.22 [6884]E(f317(f317(f92(f907(x68841,a897)),x68842),x68843),x68842)+~P1(f317(f317(f224(f907(x68841,a897)),x68842),x68843))
% 199.17/199.22 [6930]~P1(f317(f127(x69301),x69302))+E(f317(f317(f3(f907(x69301,a897)),f317(f162(x69301),x69302)),f317(f317(f299(x69301),x69303),f179(f907(x69301,a897)))),f317(f162(x69301),f160(x69301,x69303,x69302)))
% 199.17/199.22 [6987]P34(x69871,x69872)+~P34(x69871,f317(f317(f173(f906(x69871,x69871),a897),x69873),x69872))
% 199.17/199.22 [7004]~E(x70041,f2(a901))+P1(f317(f317(f276(a901),f317(f317(f75(a901),x70041),x70042)),f317(f317(f75(a901),x70041),x70043)))
% 199.17/199.22 [7055]P1(f317(f44(x70551,x70552),f317(a46,x70553)))+~P1(f317(f44(f317(f73(a1),x70551),f317(f73(a1),x70552)),x70553))
% 199.17/199.22 [7060]E(f317(f317(f3(f907(x70601,a897)),f317(f317(f299(x70601),x70602),x70603)),f317(f317(f299(x70601),x70602),f179(f907(x70601,a897)))),x70603)+P1(f317(f317(f319(x70601),x70602),x70603))
% 199.17/199.22 [7083]E(f317(f317(f92(f907(x70831,a897)),f317(f162(x70831),x70832)),f317(f162(x70831),x70833)),f179(f907(x70831,a897)))+~P1(f317(f127(x70831),f317(f317(f124(x70831),x70832),x70833)))
% 199.17/199.22 [7098]~P1(f317(f317(f319(x70981),x70982),f317(f162(x70981),x70983)))+~P1(f317(f127(x70981),f317(f317(f141(x70981),x70982),x70983)))
% 199.17/199.22 [7169]P28(x71691,x71692,x71693)+P1(f317(f317(f225(a901),f741(x71693,x71692,x71691)),f317(f180(f902(x71691)),x71693)))
% 199.17/199.22 [7179]E(f317(f317(f92(f907(x71791,a897)),x71792),x71793),f179(f907(x71791,a897)))+P1(f317(f317(f319(x71791),f595(x71793,x71792,x71791)),x71792))
% 199.17/199.22 [7180]E(f317(f317(f92(f907(x71801,a897)),x71802),x71803),f179(f907(x71801,a897)))+P1(f317(f317(f319(x71801),f605(x71803,x71802,x71801)),x71803))
% 199.17/199.22 [7183]E(f104(x71831,f317(f317(f165(x71831),x71832),x71833)),f317(f317(f165(x71831),f317(f317(f3(a901),x71832),f72(a901))),x71833))+~P1(f317(f317(f224(a901),x71832),f317(f180(f902(x71831)),x71833)))
% 199.17/199.22 [7242]~P30(x72423,x72422,x72421)+P1(f317(f317(f225(a901),f735(x72421,x72422,x72423)),f317(f180(f902(x72423)),x72421)))
% 199.17/199.22 [7262]P1(f317(f317(f225(a901),f2(a901)),x72621))+P1(f317(f317(f224(a901),f317(f317(f75(a901),x72622),x72621)),f317(f317(f75(a901),x72623),x72621)))
% 199.17/199.22 [7263]P1(f317(f317(f225(a901),f2(a901)),x72631))+P1(f317(f317(f224(a901),f317(f317(f75(a901),x72631),x72632)),f317(f317(f75(a901),x72631),x72633)))
% 199.17/199.22 [7266]~P1(f317(f317(f319(x72661),x72662),x72663))+~P1(f317(f317(f319(x72661),x72662),f317(f73(f907(x72661,a897)),x72663)))
% 199.17/199.22 [7272]~P1(f317(f317(f225(f907(x72721,a897)),x72722),x72723))+P1(f317(f317(f224(f907(x72721,a897)),x72722),x72723))
% 199.17/199.22 [7378]~P1(f317(f317(f224(a901),x73783),x73782))+P1(f317(f317(f224(a901),f317(f317(f3(a901),x73781),x73782)),f317(f317(f3(a901),x73781),x73783)))
% 199.17/199.22 [7379]~P1(f317(f317(f224(a901),x73791),x73793))+P1(f317(f317(f224(a901),f317(f317(f3(a901),x73791),x73792)),f317(f317(f3(a901),x73793),x73792)))
% 199.17/199.22 [7380]~P1(f317(f317(f224(a901),x73802),x73803))+P1(f317(f317(f224(a901),f317(f317(f74(a901),x73801),x73802)),f317(f317(f74(a901),x73801),x73803)))
% 199.17/199.22 [7381]~P1(f317(f317(f224(a901),x73811),x73813))+P1(f317(f317(f224(a901),f317(f317(f74(a901),x73811),x73812)),f317(f317(f74(a901),x73813),x73812)))
% 199.17/199.22 [7383]~P1(f317(f317(f224(a901),x73832),x73833))+P1(f317(f317(f224(a901),f317(f317(f75(a901),x73831),x73832)),f317(f317(f75(a901),x73831),x73833)))
% 199.17/199.22 [7385]~P1(f317(f317(f224(a901),x73851),x73853))+P1(f317(f317(f224(a901),f317(f317(f75(a901),x73851),x73852)),f317(f317(f75(a901),x73853),x73852)))
% 199.17/199.22 [7386]~P1(f317(f317(f224(a901),x73861),x73863))+P1(f317(f317(f224(a901),f317(f317(f30(a901),x73861),x73862)),f317(f317(f30(a901),x73863),x73862)))
% 199.17/199.22 [7387]~P1(f317(f317(f224(a1),x73872),x73873))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x73871),x73872)),f317(f317(f74(a1),x73871),x73873)))
% 199.17/199.22 [7388]~P1(f317(f317(f225(a901),x73882),x73883))+P1(f317(f317(f225(a901),f317(f317(f74(a901),x73881),x73882)),f317(f317(f74(a901),x73881),x73883)))
% 199.17/199.22 [7389]~P1(f317(f317(f225(a901),x73891),x73893))+P1(f317(f317(f225(a901),f317(f317(f74(a901),x73891),x73892)),f317(f317(f74(a901),x73893),x73892)))
% 199.17/199.22 [7390]~P1(f317(f317(f225(a1),x73901),x73903))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x73901),x73902)),f317(f317(f74(a1),x73903),x73902)))
% 199.17/199.22 [7391]~P1(f317(f317(f276(a901),x73912),x73913))+P1(f317(f317(f276(a901),f317(f317(f75(a901),x73911),x73912)),f317(f317(f75(a901),x73911),x73913)))
% 199.17/199.22 [7464]E(x74641,x74642)+~P1(f317(f317(f319(x74643),x74641),f317(f317(f299(x74643),x74642),f179(f907(x74643,a897)))))
% 199.17/199.22 [7466]~E(f317(f317(f92(f907(x74661,a897)),x74662),x74663),f179(f907(x74661,a897)))+P1(f317(f317(f224(f907(x74661,a897)),x74662),f317(f73(f907(x74661,a897)),x74663)))
% 199.17/199.22 [7471]P1(f317(f317(f319(f907(x74711,a897)),x74712),f317(f298(x74711),x74713)))+~P1(f317(f317(f224(f907(x74711,a897)),x74712),x74713))
% 199.17/199.22 [7521]E(f317(f317(f141(x75211),f317(f317(f154(x75211),x75212),x75213)),f317(f317(f128(x75211),f317(a102,x75213)),x75212)),f317(f317(f128(x75211),x75213),x75212))+~P1(f317(f317(f225(a901),x75213),f317(f180(f902(x75211)),x75212)))
% 199.17/199.22 [7546]P1(f317(f317(f319(f906(x75461,x75461)),x75462),f297(x75461,x75463)))+~P1(f317(f317(f319(f906(x75461,x75461)),x75462),x75463))
% 199.17/199.22 [7555]~P1(f317(f317(f319(f907(x75551,a897)),x75552),f317(f298(x75551),x75553)))+P1(f317(f317(f224(f907(x75551,a897)),x75552),x75553))
% 199.17/199.22 [7600]P1(f317(f317(f224(f907(x76001,a897)),x76002),f31(f907(x76001,a897),x76003)))+~P1(f317(f317(f319(f907(x76001,a897)),x76002),x76003))
% 199.17/199.22 [7625]~P141(x76251)+E(f317(f317(f75(x76251),f317(f317(f234(x76251),f317(f73(x76251),f72(x76251))),x76252)),f317(f317(f234(x76251),x76253),x76252)),f317(f317(f234(x76251),f317(f73(x76251),x76253)),x76252))
% 199.17/199.22 [7647]E(f317(f317(f154(x76471),x76472),f317(f317(f3(a901),f317(f180(f902(x76471)),x76472)),f317(a102,x76473))),f317(f317(f154(x76471),f317(f158(x76471),x76472)),x76473))+~P1(f317(f317(f225(a901),x76473),f317(f180(f902(x76471)),x76472)))
% 199.17/199.22 [7664]~E(f317(f317(f92(f907(x76641,a897)),f612(x76643,x76642,x76641)),x76643),f179(f907(x76641,a897)))+E(f317(f317(f92(f907(x76641,a897)),f31(f907(x76641,a897),x76642)),x76643),f179(f907(x76641,a897)))
% 199.17/199.22 [7725]~P1(f317(f317(f319(x77253),x77252),f317(f162(x77253),x77251)))+P1(f317(f317(f225(a901),f610(x77251,x77252,x77253)),f317(f180(f902(x77253)),x77251)))
% 199.17/199.22 [7733]P1(f317(f317(f319(x77331),f317(f317(f154(x77331),x77332),x77333)),f317(f162(x77331),x77332)))+~P1(f317(f317(f225(a901),x77333),f317(f180(f902(x77331)),x77332)))
% 199.17/199.22 [7830]~P1(f317(x78302,f701(x78303,x78302,x78301)))+E(f317(f317(f128(x78301),f317(f180(f902(x78301)),f167(x78301,x78302,x78303))),x78303),f103(x78301))
% 199.17/199.22 [7843]P1(f317(f317(f224(f907(f902(x78431),a897)),f151(x78431,x78432)),f151(x78431,x78433)))+~P1(f317(f317(f224(f907(x78431,a897)),x78432),x78433))
% 199.17/199.22 [7844]P1(f317(f317(f224(f907(f902(x78441),a897)),f150(x78441,x78442)),f150(x78441,x78443)))+~P1(f317(f317(f224(f907(x78441,a897)),x78442),x78443))
% 199.17/199.22 [7872]E(f317(f317(f92(f907(x78721,a897)),f31(f907(x78721,a897),x78722)),x78723),f179(f907(x78721,a897)))+P1(f317(f317(f319(f907(x78721,a897)),f612(x78723,x78722,x78721)),x78722))
% 199.17/199.22 [7874]~P1(f317(f317(f319(f907(x78741,a897)),x78743),x78742))+P1(f317(f317(f224(f907(x78741,a897)),f32(f907(x78741,a897),x78742)),x78743))
% 199.17/199.22 [7876]E(f317(f317(f92(f907(x78761,a897)),x78762),x78763),f179(f907(x78761,a897)))+~P1(f317(f317(f224(f907(x78761,a897)),x78762),f317(f73(f907(x78761,a897)),x78763)))
% 199.17/199.22 [7927]E(f317(f317(f3(a901),f317(f317(f74(a901),f317(f155(a901),x79271)),x79272)),f317(f317(f154(a901),x79271),x79273)),f317(f155(a901),f317(f317(f149(a901,x79271),x79273),x79272)))+~P1(f317(f317(f225(a901),x79273),f317(f180(f902(a901)),x79271)))
% 199.17/199.22 [7980]P1(f317(f317(f224(a901),x79801),x79802))+~P1(f317(f317(f224(a901),f317(f317(f74(a901),x79803),x79801)),f317(f317(f74(a901),x79803),x79802)))
% 199.17/199.22 [7981]P1(f317(f317(f225(a901),x79811),x79812))+~P1(f317(f317(f225(a901),f317(f317(f74(a901),x79813),x79811)),f317(f317(f74(a901),x79813),x79812)))
% 199.17/199.22 [7982]P1(f317(f317(f225(a901),x79821),x79822))+~P1(f317(f317(f225(a901),f317(f317(f75(a901),x79823),x79821)),f317(f317(f75(a901),x79823),x79822)))
% 199.17/199.22 [7983]P1(f317(f317(f225(a901),x79831),x79832))+~P1(f317(f317(f225(a901),f317(f317(f75(a901),x79831),x79833)),f317(f317(f75(a901),x79832),x79833)))
% 199.17/199.22 [8010]P1(f317(f317(f225(a901),f2(a901)),x80101))+~P1(f317(f317(f225(a901),f317(f317(f75(a901),x80102),x80101)),f317(f317(f75(a901),x80103),x80101)))
% 199.17/199.22 [8011]P1(f317(f317(f225(a901),f2(a901)),x80111))+~P1(f317(f317(f225(a901),f317(f317(f75(a901),x80111),x80112)),f317(f317(f75(a901),x80111),x80113)))
% 199.17/199.22 [8079]E(f237(x80791,x80792,x80793),x80792)+~P1(f317(f317(f224(f907(x80791,a897)),x80793),f317(f317(f299(x80791),x80792),f179(f907(x80791,a897)))))
% 199.17/199.22 [8128]~P1(f317(f127(x81281),x81283))+E(f317(f126(x81281,f317(f317(f10(a897,a897,x81281),a312),f317(a314,x81282))),x81283),f160(x81281,x81282,x81283))
% 199.17/199.22 [8153]E(f317(f317(f128(x81531),f317(f180(f902(x81531)),f167(x81531,x81532,x81533))),x81533),f103(x81531))+P1(f317(f317(f319(x81531),f701(x81533,x81532,x81531)),f317(f162(x81531),x81533)))
% 199.17/199.22 [8158]E(f317(f317(f124(x81581),f317(f317(f165(x81581),x81582),x81583)),f317(f317(f141(x81581),f317(f317(f154(x81581),x81583),x81582)),f103(x81581))),f317(f317(f165(x81581),f317(a102,x81582)),x81583))+~P1(f317(f317(f225(a901),x81582),f317(f180(f902(x81581)),x81583)))
% 199.17/199.22 [8229]E(f317(f126(x82291,f317(f317(f10(a897,a897,x82291),a312),f317(a314,x82292))),x82293),x82293)+P1(f317(f317(f319(x82291),x82292),f317(f162(x82291),x82293)))
% 199.17/199.22 [8235]P1(f317(f317(f224(f907(f907(x82351,a897),a897)),f238(x82351,x82352)),f238(x82351,x82353)))+~P1(f317(f317(f224(f907(x82351,a897)),x82352),x82353))
% 199.17/199.22 [8274]~P1(f317(f127(x82741),x82743))+P1(f317(f127(x82741),f317(f317(f317(f173(f902(x82741),f902(x82741)),x82742),f157(x82741)),x82743)))
% 199.17/199.22 [8280]~P1(f317(f317(f225(a901),x82802),x82803))+P1(f317(f317(f225(a901),f317(f317(f75(a901),f317(a102,x82801)),x82802)),f317(f317(f75(a901),f317(a102,x82801)),x82803)))
% 199.17/199.22 [8300]P1(f317(f317(f224(f907(f907(x83001,a897),a897)),f317(f298(x83001),x83002)),f317(f298(x83001),x83003)))+~P1(f317(f317(f224(f907(x83001,a897)),x83002),x83003))
% 199.17/199.22 [8368]~E(f317(f300(x83681,x83682,x83683),f232(f907(x83681,a897))),f232(f907(x83682,a897)))+E(f317(f67(x83681,x83682,x83682,x83683),f85(x83681,x83682,f232(f907(x83681,a897)),x83683)),f25(x83682))
% 199.17/199.22 [8459]~P1(f317(f317(f224(f907(x84591,a897)),x84593),x84592))+P1(f317(f317(f224(f907(x84591,a897)),f317(f73(f907(x84591,a897)),x84592)),f317(f73(f907(x84591,a897)),x84593)))
% 199.17/199.22 [8493]E(f317(f300(a901,a901,f317(f317(f9(a901,a901,a901),f3(a901)),x84931)),f317(f293(a901,x84932),x84933)),f317(f293(a901,f317(f317(f3(a901),x84932),x84931)),f317(f317(f3(a901),x84933),x84931)))+~P1(f317(f317(f225(a901),x84931),x84933))
% 199.17/199.22 [8515]~P85(x85151)+E(f317(f317(f74(x85151),x85152),f317(f132(x85151,x85151,f74(x85151),f2(x85151)),x85153)),f317(f132(x85151,x85151,f74(x85151),x85152),x85153))
% 199.17/199.22 [8592]~P88(x85921)+P1(f317(f317(f224(x85921),f317(f70(x85921),f317(f317(f3(x85921),x85922),x85923))),f317(f317(f74(x85921),f317(f70(x85921),x85922)),f317(f70(x85921),x85923))))
% 199.17/199.22 [8593]~P88(x85931)+P1(f317(f317(f224(x85931),f317(f70(x85931),f317(f317(f74(x85931),x85932),x85933))),f317(f317(f74(x85931),f317(f70(x85931),x85932)),f317(f70(x85931),x85933))))
% 199.17/199.22 [8604]E(f317(f317(f74(a1),f317(f317(f75(a1),x86041),f40(a1,f317(f317(f30(a1),x86042),x86041),x86043))),f40(a1,x86042,x86041)),f40(a1,x86042,f317(f317(f75(a1),x86041),x86043)))+~P1(f317(f317(f225(a1),f2(a1)),x86043))
% 199.17/199.22 [8609]E(f317(f317(f124(x86091),f317(f317(f165(x86091),x86092),x86093)),f317(f317(f141(x86091),f317(f131(x86091),f317(f317(f128(x86091),x86092),x86093))),f103(x86091))),f317(f317(f165(x86091),f317(a102,x86092)),x86093))+~P1(f317(f317(f225(a901),x86092),f317(f180(f902(x86091)),x86093)))
% 199.17/199.22 [8633]E(f317(f258(x86331,f317(f317(f144(x86331,f906(a89,x86331)),f317(f242(a89,x86331),f72(a89))),x86332)),f317(a5,x86333)),f317(f317(f154(x86331),x86332),x86333))+~P1(f317(f317(f225(a901),x86333),f317(f180(f902(x86331)),x86332)))
% 199.17/199.22 [8700]P1(f317(f317(f319(f906(x87001,x87001)),x87002),f317(f317(f278(x87001,x87001,x87001),x87003),f297(x87001,x87003))))+~P1(f317(f317(f319(f906(x87001,x87001)),x87002),x87003))
% 199.17/199.22 [8710]E(f317(f300(x87101,x87102,x87103),f232(f907(x87101,a897))),f232(f907(x87102,a897)))+~E(f317(f67(x87101,x87102,x87102,x87103),f85(x87101,x87102,f232(f907(x87101,a897)),x87103)),f25(x87102))
% 199.17/199.22 [8721]P1(f317(f317(f224(a901),x87211),x87212))+~P1(f317(f317(f224(a901),f317(f317(f75(a901),f317(a102,x87213)),x87211)),f317(f317(f75(a901),f317(a102,x87213)),x87212)))
% 199.17/199.22 [8736]P1(f317(f317(f224(f907(x87361,a897)),x87362),x87363))+~P1(f317(f317(f224(f907(x87361,a897)),f317(f73(f907(x87361,a897)),x87363)),f317(f73(f907(x87361,a897)),x87362)))
% 199.17/199.22 [8759]P1(f317(f127(x87591),x87592))+~P1(f317(f127(x87591),f317(f317(f317(f173(f902(x87591),f902(x87591)),x87593),f157(x87591)),x87592)))
% 199.17/199.22 [8825]E(f317(f274(x88251,x88251,f297(x88251,x88252)),x88253),x88253)+~P1(f317(f317(f224(f907(x88251,a897)),f317(f274(x88251,x88251,x88252),x88253)),x88253))
% 199.17/199.22 [8872]~P108(x88721)+P11(x88721,f317(f126(x88721,f317(f317(f9(x88721,x88721,a897),a314),f317(x88722,x88723))),x88723))
% 199.17/199.22 [8879]~P1(f317(f317(f224(a901),x88791),x88792))+P1(f317(f317(f224(a901),x88791),f317(f132(a901,a901,f74(a901),x88792),x88793)))
% 199.17/199.22 [8969]~P1(f317(f317(f319(f906(x89691,x89691)),x89692),f297(x89691,x89693)))+P1(f317(f317(f319(f906(x89691,x89691)),x89692),f317(f317(f173(f906(x89691,x89691),a897),f603(x89693,x89692,x89691)),x89693)))
% 199.17/199.22 [9050]~P85(x90501)+E(f317(f317(f74(x90501),x90502),f317(f132(x90501,x90501,f317(f9(x90501,x90501,x90501),f74(x90501)),f2(x90501)),f317(f158(x90501),x90503))),f317(f132(x90501,x90501,f74(x90501),x90502),x90503))
% 199.17/199.22 [9161]~P23(x91612,x91611,x91613,f232(f907(x91612,a897)),f232(f907(x91611,a897)))+E(f85(x91611,x91612,f232(f907(x91611,a897)),f85(x91612,x91611,f232(f907(x91612,a897)),x91613)),x91613)
% 199.17/199.22 [9319]P52(x93191,x93192,x93193)+P1(f317(f317(f319(f906(x93191,x93192)),f317(f317(f242(x93191,x93192),f604(x93193,x93192,x93191)),f602(x93193,x93192,x93191))),x93193))
% 199.17/199.22 [9320]P52(x93201,x93202,x93203)+P1(f317(f317(f319(f906(x93201,x93202)),f317(f317(f242(x93201,x93202),f604(x93203,x93202,x93201)),f601(x93203,x93202,x93201))),x93203))
% 199.17/199.22 [9390]~P1(f317(f317(f319(f906(x93901,x93901)),x93902),f317(f317(f278(x93901,x93901,x93901),x93903),f297(x93901,x93903))))+P1(f317(f317(f319(f906(x93901,x93901)),x93902),f317(f317(f173(f906(x93901,x93901),a897),f606(x93903,x93902,x93901)),x93903)))
% 199.17/199.22 [9391]~P1(f317(x93911,f317(f317(f154(x93912),x93913),f317(f180(f902(x93912)),f167(x93912,x93911,x93913)))))+~P1(f317(f317(f225(a901),f317(f180(f902(x93912)),f167(x93912,x93911,x93913))),f317(f180(f902(x93912)),x93913)))
% 199.17/199.22 [9485]~P1(f317(f317(f224(f907(x94851,a897)),x94852),x94853))+P1(f317(f317(f224(f907(x94851,a897)),f317(f317(f9(x94851,f907(x94851,a897),a897),f319(x94851)),x94852)),f317(f317(f9(x94851,f907(x94851,a897),a897),f319(x94851)),x94853)))
% 199.17/199.22 [9544]~P1(f317(f317(f319(f906(f907(x95441,a897),f907(x95441,a897))),f317(f317(f242(f907(x95441,a897),f907(x95441,a897)),x95442),x95443)),f304(x95441)))+P1(f317(f317(f225(f907(x95441,a897)),x95442),x95443))
% 199.17/199.22 [9572]P53(x95721,x95722,x95723)+~P1(f317(f317(f319(f906(x95721,x95721)),f317(f317(f242(x95721,x95721),f583(x95723,x95722,x95721)),f582(x95723,x95722,x95721))),x95723))
% 199.17/199.22 [9573]P53(x95731,x95732,x95733)+~P1(f317(f317(f319(f906(x95731,x95731)),f317(f317(f242(x95731,x95731),f582(x95733,x95732,x95731)),f583(x95733,x95732,x95731))),x95733))
% 199.17/199.22 [9609]~P1(f317(f317(f319(f906(f902(x96091),f902(x96091))),f317(f317(f242(f902(x96091),f902(x96091)),x96092),x96092)),f137(x96091,x96093)))+P1(f317(f317(f319(f906(x96091,x96091)),f317(f317(f242(x96091,x96091),f631(x96092,x96093,x96091)),f631(x96092,x96093,x96091))),x96093))
% 199.17/199.22 [9672]P1(f317(f317(f224(f907(x96721,a897)),x96722),x96723))+~P1(f317(f317(f224(f907(x96721,a897)),f317(f317(f9(x96721,f907(x96721,a897),a897),f319(x96721)),x96722)),f317(f317(f9(x96721,f907(x96721,a897),a897),f319(x96721)),x96723)))
% 199.17/199.22 [9758]E(f317(f317(f3(a901),f317(f317(f8(a901,a901),x97581),f317(f290(a901),x97582))),f317(f317(f8(a901,a901),x97583),f317(f290(a901),x97582))),f317(f317(f8(a901,a901),f317(f317(f20(a901,a901,a901),f317(f317(f10(a901,f907(a901,a901),a901),f3(a901)),x97581)),x97583)),f317(f290(a901),x97582)))+~P1(f317(f317(f224(a901),f317(x97583,f461(x97582,x97581,x97583))),f317(x97581,f461(x97582,x97581,x97583))))
% 199.17/199.22 [5716]~P78(x57161)+E(f317(f317(f3(x57161),f317(f317(f74(x57161),x57162),x57163)),x57163),x57162)
% 199.17/199.22 [5717]~P78(x57171)+E(f317(f317(f74(x57171),f317(f317(f3(x57171),x57172),x57173)),x57173),x57172)
% 199.17/199.22 [5951]~P78(x59511)+E(f317(f317(f74(x59511),x59512),f317(f317(f74(x59511),f317(f73(x59511),x59512)),x59513)),x59513)
% 199.17/199.22 [6039]~P84(x60391)+E(f317(f317(f75(x60391),f317(f317(f234(x60391),x60392),x60393)),x60392),f317(f317(f234(x60391),x60392),f317(a102,x60393)))
% 199.17/199.22 [6040]~P118(x60401)+E(f317(f317(f75(x60401),f317(f317(f234(x60401),x60402),x60403)),x60402),f317(f317(f234(x60401),x60402),f317(a102,x60403)))
% 199.17/199.22 [6264]~P119(x62641)+E(f317(f70(x62641),f317(f317(f234(x62641),f317(f73(x62641),x62642)),x62643)),f317(f70(x62641),f317(f317(f234(x62641),x62642),x62643)))
% 199.17/199.22 [6316]~P84(x63161)+E(f317(f317(f75(x63161),f317(f317(f234(x63161),x63162),x63163)),x63162),f317(f317(f75(x63161),x63162),f317(f317(f234(x63161),x63162),x63163)))
% 199.17/199.22 [6366]E(f317(f317(f3(a89),f317(f317(f74(a89),x63661),x63662)),x63663),f264(x63661,x63662,x63663))+~P1(f317(f317(f225(a89),x63662),x63663))
% 199.17/199.22 [6390]~E(f317(f317(f128(x63901),x63903),x63902),f103(x63901))+P1(f317(f317(f224(a901),f317(f180(f902(x63901)),x63902)),x63903))
% 199.17/199.22 [6527]E(f317(f317(f75(a901),f317(f94(a901),x65271)),f317(f317(f75(a901),f317(f94(a901),x65272)),x65273)),f2(a901))+~P1(f317(f317(f225(a1),x65271),a77))
% 199.17/199.22 [6543]~P61(x65431)+E(f317(f317(f234(x65431),f317(f317(f280(x65431),f72(x65431)),x65432)),x65433),f317(f317(f280(x65431),f72(x65431)),f317(f317(f234(x65431),x65432),x65433)))
% 199.17/199.22 [6620]E(f317(f317(f3(a901),f317(f317(f74(a901),x66201),x66202)),x66203),f317(f317(f3(a901),x66201),f317(f317(f3(a901),x66203),x66202)))+~P1(f317(f317(f224(a901),x66202),x66203))
% 199.17/199.22 [6622]E(f317(f317(f3(a901),f317(f317(f74(a901),x66221),x66222)),x66223),f317(f317(f74(a901),x66221),f317(f317(f3(a901),x66222),x66223)))+~P1(f317(f317(f224(a901),x66223),x66222))
% 199.17/199.22 [6663]~P108(x66631)+P1(f317(f317(f224(x66631),f317(f317(f228(x66631),x66632),x66633)),x66633))
% 199.17/199.22 [6664]~P108(x66641)+P1(f317(f317(f224(x66641),f317(f317(f228(x66641),x66642),x66643)),x66642))
% 199.17/199.22 [6665]~P68(x66651)+P1(f317(f317(f224(x66651),f317(f317(f92(x66651),x66652),x66653)),x66653))
% 199.17/199.22 [6666]~P103(x66661)+P1(f317(f317(f224(x66661),f317(f317(f92(x66661),x66662),x66663)),x66663))
% 199.17/199.22 [6667]~P68(x66671)+P1(f317(f317(f224(x66671),f317(f317(f92(x66671),x66672),x66673)),x66672))
% 199.17/199.22 [6668]~P103(x66681)+P1(f317(f317(f224(x66681),f317(f317(f92(x66681),x66682),x66683)),x66682))
% 199.17/199.22 [6682]E(f317(f317(f30(a1),f317(f317(f30(a1),x66821),x66822)),x66823),f317(f317(f30(a1),x66821),f317(f317(f75(a1),x66822),x66823)))+~P1(f317(f317(f225(a1),f2(a1)),x66823))
% 199.17/199.22 [6736]~P118(x67361)+E(f317(f317(f74(x67361),f317(f317(f75(x67361),x67362),x67363)),x67363),f317(f317(f75(x67361),f317(f317(f74(x67361),x67362),f72(x67361))),x67363))
% 199.17/199.22 [6737]~P97(x67371)+E(f317(f317(f75(x67371),f317(f73(x67371),f317(f94(x67371),x67372))),x67373),f317(f317(f75(x67371),f317(f94(x67371),f317(f73(a1),x67372))),x67373))
% 199.17/199.22 [6810]~P85(x68101)+E(f317(f155(x68101),f317(f317(f144(x68102,x68101),f317(f18(x68101,x68102),f2(x68101))),x68103)),f2(x68101))
% 199.17/199.22 [6828]E(f317(f317(f74(a901),f317(f94(a901),x68281)),f317(f317(f74(a901),f317(f94(a901),x68282)),x68283)),f317(f317(f74(a901),f317(f94(a901),x68282)),x68283))+~P1(f317(a184,f317(f94(a1),x68281)))
% 199.17/199.22 [6843]~P3(x68431)+E(f31(x68431,f317(f317(f299(x68431),x68432),f317(f317(f299(x68431),x68433),f179(f907(x68431,a897))))),f317(f317(f91(x68431),x68432),x68433))
% 199.17/199.22 [6844]~P3(x68441)+E(f32(x68441,f317(f317(f299(x68441),x68442),f317(f317(f299(x68441),x68443),f179(f907(x68441,a897))))),f317(f317(f92(x68441),x68442),x68443))
% 199.17/199.22 [6868]E(f317(f317(f165(x68681),x68682),x68683),x68683)+~P1(f317(f317(f224(a901),f317(f180(f902(x68681)),x68683)),x68682))
% 199.17/199.22 [6875]E(f317(f317(f128(x68751),x68752),x68753),f103(x68751))+~P1(f317(f317(f224(a901),f317(f180(f902(x68751)),x68753)),x68752))
% 199.17/199.22 [6886]E(f317(f317(f74(a901),f317(f317(f3(a901),x68861),x68862)),x68863),f317(f317(f3(a901),f317(f317(f74(a901),x68861),x68863)),x68862))+~P1(f317(f317(f224(a901),x68862),x68861))
% 199.17/199.22 [6900]~P1(f317(f317(f225(a901),x69001),x69003))+P1(f317(f317(f225(a901),f317(f317(f3(a901),x69001),x69002)),x69003))
% 199.17/199.22 [6925]~P108(x69251)+E(f160(x69251,x69252,f317(f317(f138(x69251,x69251,f7(x69251)),x69252),x69253)),x69253)
% 199.17/199.22 [7017]E(f317(f317(f3(a901),f317(f317(f74(a901),x70171),x70172)),f317(a102,x70173)),f317(f317(f3(a901),x70171),f317(a102,f317(f317(f3(a901),x70173),x70172))))+~P1(f317(f317(f224(a901),x70172),x70173))
% 199.17/199.22 [7018]~P119(x70181)+P1(f317(f317(f224(x70181),f2(x70181)),f317(f317(f234(x70181),f317(f70(x70181),x70182)),x70183)))
% 199.17/199.22 [7110]~P1(f317(f28(x71101),x71102))+P1(f317(f28(x71101),f317(f317(f3(f907(x71101,a897)),x71102),x71103)))
% 199.17/199.22 [7111]~P1(f317(f28(x71111),x71113))+P1(f317(f28(x71111),f317(f317(f92(f907(x71111,a897)),x71112),x71113)))
% 199.17/199.22 [7112]~P1(f317(f28(x71121),x71122))+P1(f317(f28(x71121),f317(f317(f92(f907(x71121,a897)),x71122),x71123)))
% 199.17/199.22 [7252]~P34(x72521,x72523)+P34(x72521,f317(f317(f92(f907(f906(x72521,x72521),a897)),x72522),x72523))
% 199.17/199.22 [7253]~P34(x72531,x72532)+P34(x72531,f317(f317(f92(f907(f906(x72531,x72531),a897)),x72532),x72533))
% 199.17/199.22 [7374]~P108(x73741)+E(f16(x73741,f317(f162(x73741),f317(f317(f141(x73741),x73742),x73743))),f317(f132(x73741,x73741,f178(x73741),x73742),x73743))
% 199.17/199.22 [7375]~P108(x73751)+E(f17(x73751,f317(f162(x73751),f317(f317(f141(x73751),x73752),x73753))),f317(f132(x73751,x73751,f228(x73751),x73752),x73753))
% 199.17/199.22 [7376]~P68(x73761)+E(f12(x73761,f317(f162(x73761),f317(f317(f141(x73761),x73762),x73763))),f317(f132(x73761,x73761,f91(x73761),x73762),x73763))
% 199.17/199.22 [7377]~P68(x73771)+E(f13(x73771,f317(f162(x73771),f317(f317(f141(x73771),x73772),x73773))),f317(f132(x73771,x73771,f92(x73771),x73772),x73773))
% 199.17/199.22 [7438]~P1(f317(f28(x74381),x74382))+P1(f317(f317(f224(a901),f317(f29(x74381),x74382)),f317(f29(x74381),f317(f317(f299(x74381),x74383),x74382))))
% 199.17/199.22 [7439]E(f317(f317(f91(f907(a901,a897)),f317(f293(a901,x74391),x74392)),f317(f293(a901,x74392),f317(f317(f74(a901),x74392),x74393))),f317(f293(a901,x74391),f317(f317(f74(a901),x74392),x74393)))+~P1(f317(f317(f224(a901),x74391),x74392))
% 199.17/199.22 [7448]P1(f317(f317(f224(a901),x74481),x74482))+~P1(f317(f317(f224(a901),f317(f317(f74(a901),x74483),x74481)),x74482))
% 199.17/199.22 [7449]P1(f317(f317(f224(a901),x74491),x74492))+~P1(f317(f317(f224(a901),f317(f317(f74(a901),x74491),x74493)),x74492))
% 199.17/199.22 [7450]P1(f317(f317(f225(a901),x74501),x74502))+~P1(f317(f317(f225(a901),f317(f317(f74(a901),x74501),x74503)),x74502))
% 199.17/199.22 [7489]~P108(x74891)+E(f14(x74891,f178(x74891),f317(f162(x74891),f317(f317(f141(x74891),x74892),x74893))),f317(f132(x74891,x74891,f178(x74891),x74892),x74893))
% 199.17/199.22 [7490]~P108(x74901)+E(f15(x74901,f228(x74901),f317(f162(x74901),f317(f317(f141(x74901),x74902),x74903))),f317(f132(x74901,x74901,f228(x74901),x74902),x74903))
% 199.17/199.22 [7494]~E(x74942,f179(f907(f906(x74941,x74941),a897)))+P1(f317(f317(f224(f907(f906(x74941,x74941),a897)),x74942),x74943))
% 199.17/199.22 [7593]E(f317(f317(f91(f907(x75931,a897)),x75932),f317(f317(f3(f907(x75931,a897)),x75933),x75932)),x75933)+~P1(f317(f317(f224(f907(x75931,a897)),x75932),x75933))
% 199.17/199.22 [7596]~P1(f317(f317(f224(a901),x75961),f317(f317(f74(a901),x75963),x75962)))+P1(f317(f317(f224(a901),f317(f317(f3(a901),x75961),x75962)),x75963))
% 199.17/199.22 [7597]~P1(f317(f317(f225(a901),x75971),f317(f317(f3(a901),x75973),x75972)))+P1(f317(f317(f225(a901),f317(f317(f74(a901),x75971),x75972)),x75973))
% 199.17/199.22 [7654]E(x76541,f103(x76542))+E(f317(f131(x76542),f317(f317(f317(f173(f902(x76542),f902(x76542)),x76543),f157(x76542)),x76541)),f317(f317(f154(x76542),x76541),f40(a901,x76543,f317(f180(f902(x76542)),x76541))))
% 199.17/199.22 [7663]E(f317(f317(f299(x76631),x76632),f317(f317(f3(f907(x76631,a897)),x76633),f317(f317(f299(x76631),x76632),f179(f907(x76631,a897))))),x76633)+~P1(f317(f317(f319(x76631),x76632),x76633))
% 199.17/199.22 [7821]P1(f317(f317(f224(a901),x78211),f317(f317(f74(a901),x78212),x78213)))+~P1(f317(f317(f224(a901),f317(f317(f3(a901),x78211),x78213)),x78212))
% 199.17/199.22 [7822]P1(f317(f317(f225(a901),x78221),f317(f317(f3(a901),x78222),x78223)))+~P1(f317(f317(f225(a901),f317(f317(f74(a901),x78221),x78223)),x78222))
% 199.17/199.22 [7848]P1(f317(f28(x78481),x78482))+~P1(f317(f28(x78481),f317(f317(f91(f907(x78481,a897)),x78483),x78482)))
% 199.17/199.22 [7849]P1(f317(f28(x78491),x78492))+~P1(f317(f28(x78491),f317(f317(f91(f907(x78491,a897)),x78492),x78493)))
% 199.17/199.22 [7926]~P43(x79261,x79263)+P1(f317(f317(f319(f906(x79261,x79261)),f317(f317(f242(x79261,x79261),x79262),x79262)),x79263))
% 199.17/199.22 [8053]E(f317(f317(f154(a901),f129(a901,f317(f293(a901,x80531),x80532))),x80533),f317(f317(f74(a901),x80531),x80533))+~P1(f317(f317(f225(a901),f317(f317(f74(a901),x80531),x80533)),x80532))
% 199.17/199.22 [8117]E(f317(f317(f165(a901),x81171),f129(a901,f317(f293(a901,x81172),x81173))),f129(a901,f317(f293(a901,x81172),f317(f317(f74(a901),x81172),x81171))))+~P1(f317(f317(f224(a901),f317(f317(f74(a901),x81172),x81171)),x81173))
% 199.17/199.22 [8439]E(f317(f317(f124(x84391),f317(f317(f165(x84391),x84392),x84393)),f317(f317(f141(x84391),f317(f317(f154(x84391),x84393),x84392)),f317(f317(f128(x84391),f317(a102,x84392)),x84393))),x84393)+~P1(f317(f317(f225(a901),x84392),f317(f180(f902(x84391)),x84393)))
% 199.17/199.22 [8447]P1(f317(f317(f224(f907(x84471,a897)),f305(x84471,x84472)),f305(x84471,x84473)))+~P1(f317(f317(f224(f907(x84471,f907(x84471,a897))),x84473),x84472))
% 199.17/199.22 [8448]~P53(x84481,x84482,x84483)+P53(x84481,x84482,f317(f317(f3(f907(f906(x84481,x84481),a897)),x84483),f297(x84481,f179(f907(f906(x84481,x84481),a897)))))
% 199.17/199.22 [8467]P1(f317(f317(f224(f907(x84671,a897)),f306(x84671,x84672)),f306(x84671,x84673)))+~P1(f317(f317(f224(f907(f906(x84671,x84671),a897)),x84673),x84672))
% 199.17/199.22 [8474]~P127(x84741)+P1(f317(f317(f224(x84741),f2(x84741)),f317(f317(f74(x84741),f317(f317(f75(x84741),x84742),x84742)),f317(f317(f75(x84741),x84743),x84743))))
% 199.17/199.22 [8508]P1(f317(f317(f224(f907(x85081,a897)),f317(f271(x85081),x85082)),f317(f271(x85081),x85083)))+~P1(f317(f317(f224(f907(f906(x85081,x85081),a897)),x85082),x85083))
% 199.17/199.22 [8535]~P51(x85351,x85352)+~P1(f317(f317(f319(f906(x85351,x85351)),f317(f317(f242(x85351,x85351),x85353),x85353)),x85352))
% 199.17/199.22 [8537]~P34(x85371,x85372)+~P1(f317(f317(f319(f906(x85371,x85371)),f317(f317(f242(x85371,x85371),x85373),x85373)),x85372))
% 199.17/199.22 [8594]P1(f317(f317(f224(f907(x85941,a897)),f31(f907(x85941,a897),x85942)),f31(f907(x85941,a897),x85943)))+~P1(f317(f317(f224(f907(f907(x85941,a897),a897)),x85942),x85943))
% 199.17/199.22 [8595]P1(f317(f317(f224(f907(x85951,a897)),f32(f907(x85951,a897),x85952)),f32(f907(x85951,a897),x85953)))+~P1(f317(f317(f224(f907(f907(x85951,a897),a897)),x85953),x85952))
% 199.17/199.22 [8652]~P6(x86521,x86523,x86522)+P1(f317(f317(f224(f907(f906(x86521,x86521),a897)),x86522),f317(f317(f244(x86521,x86521),x86523),f317(f18(f907(x86521,a897),x86521),x86523))))
% 199.17/199.22 [8653]~P50(x86531,x86533,x86532)+P1(f317(f317(f224(f907(f906(x86531,x86531),a897)),x86532),f317(f317(f244(x86531,x86531),x86533),f317(f18(f907(x86531,a897),x86531),x86533))))
% 199.17/199.22 [8701]~P88(x87011)+P1(f317(f317(f224(x87011),f317(f317(f3(x87011),f317(f70(x87011),x87012)),f317(f70(x87011),x87013))),f317(f70(x87011),f317(f317(f3(x87011),x87013),x87012))))
% 199.17/199.22 [8702]~P88(x87021)+P1(f317(f317(f224(x87021),f317(f317(f3(x87021),f317(f70(x87021),x87022)),f317(f70(x87021),x87023))),f317(f70(x87021),f317(f317(f3(x87021),x87022),x87023))))
% 199.17/199.22 [8734]P1(f317(f317(f224(f907(f906(x87341,x87341),a897)),f297(x87341,x87342)),f297(x87341,x87343)))+~P1(f317(f317(f224(f907(f906(x87341,x87341),a897)),x87342),x87343))
% 199.17/199.22 [8838]~P22(x88382,x88381,x88383,f232(f907(x88382,a897)))+E(f317(f67(x88381,x88382,x88382,f85(x88382,x88381,f232(f907(x88382,a897)),x88383)),x88383),f25(x88382))
% 199.17/199.22 [8897]P53(x88971,x88972,x88973)+~P53(x88971,x88972,f317(f317(f3(f907(f906(x88971,x88971),a897)),x88973),f297(x88971,f179(f907(f906(x88971,x88971),a897)))))
% 199.17/199.22 [8917]P1(f317(f317(f224(f907(f906(f902(x89171),f902(x89171)),a897)),f147(x89171,x89172)),f147(x89171,x89173)))+~P1(f317(f317(f224(f907(f906(x89171,x89171),a897)),x89172),x89173))
% 199.17/199.22 [8918]P1(f317(f317(f224(f907(f906(f902(x89181),f902(x89181)),a897)),f148(x89181,x89182)),f148(x89181,x89183)))+~P1(f317(f317(f224(f907(f906(x89181,x89181),a897)),x89182),x89183))
% 199.17/199.22 [8941]~P50(x89411,x89413,x89412)+P1(f317(f317(f224(f907(f906(x89411,x89411),a897)),x89412),f317(f317(f278(x89411,x89411,x89411),f317(f275(x89411,x89411),x89412)),x89412)))
% 199.17/199.22 [8995]~P1(f317(f127(x89951),x89952))+E(f317(f126(x89951,f317(f317(f9(x89951,f907(x89951,a897),a897),f319(x89951)),f317(f162(x89951),f166(x89951,x89952,x89953)))),x89952),f166(x89951,x89952,x89953))
% 199.17/199.22 [9048]E(x90481,x90482)+~P1(f317(f317(f319(f906(x90483,x90483)),f317(f317(f242(x90483,x90483),x90481),x90482)),f297(x90483,f179(f907(f906(x90483,x90483),a897)))))
% 199.17/199.22 [9130]P1(f317(f317(f319(x91301),x91302),f306(x91301,x91303)))+P1(f317(f317(f319(f906(x91301,x91301)),f317(f317(f242(x91301,x91301),f513(x91303,x91302,x91301)),x91302)),x91303))
% 199.17/199.22 [9131]P1(f317(f317(f319(x91311),x91312),f306(x91311,x91313)))+P1(f317(f317(f319(f906(x91311,x91311)),f317(f317(f242(x91311,x91311),f587(x91313,x91312,x91311)),x91312)),x91313))
% 199.17/199.22 [9132]P1(f317(f317(f319(x91321),x91322),f306(x91321,x91323)))+P1(f317(f317(f319(f906(x91321,x91321)),f317(f317(f242(x91321,x91321),f589(x91323,x91322,x91321)),x91322)),x91323))
% 199.17/199.22 [9162]P22(x91621,x91622,x91623,f232(f907(x91621,a897)))+~E(f317(f67(x91622,x91621,x91621,f85(x91621,x91622,f232(f907(x91621,a897)),x91623)),x91623),f25(x91621))
% 199.17/199.22 [9209]~P1(f317(f317(f319(f902(x92091)),x92093),f151(x92091,x92092)))+P1(f317(f150(x92091,f317(f317(f9(x92091,f907(x92091,a897),a897),f319(x92091)),x92092)),x92093))
% 199.17/199.22 [9237]P1(f317(x92373,x92372))+E(f317(f252(x92371),f317(f317(f20(x92371,a897,a897),f317(f317(f10(a897,f907(a897,a897),x92371),a315),f317(a314,x92372))),x92373)),f179(f907(x92371,a897)))
% 199.17/199.22 [9256]~P88(x92561)+P1(f317(f317(f224(x92561),f317(f70(x92561),f317(f317(f3(x92561),f317(f70(x92561),x92562)),f317(f70(x92561),x92563)))),f317(f70(x92561),f317(f317(f3(x92561),x92562),x92563))))
% 199.17/199.22 [9272]~P1(f317(x92723,x92722))+E(f317(f252(x92721),f317(f317(f20(x92721,a897,a897),f317(f317(f10(a897,f907(a897,a897),x92721),a315),f317(a314,x92722))),x92723)),f317(f317(f299(x92721),x92722),f179(f907(x92721,a897))))
% 199.17/199.22 [9281]~P1(f317(f317(f319(f907(x92811,a897)),x92813),f317(f298(x92811),x92812)))+P1(f317(f238(x92811,f317(f317(f9(x92811,f907(x92811,a897),a897),f319(x92811)),x92812)),x92813))
% 199.17/199.22 [9318]P34(x93181,x93182)+P1(f317(f317(f319(f906(x93181,x93181)),f317(f317(f242(x93181,x93181),f317(f550(x93182,x93181),f317(a102,x93183))),f317(f550(x93182,x93181),x93183))),x93182))
% 199.17/199.22 [9462]P1(f317(f317(f319(f902(x94621)),x94622),f151(x94621,x94623)))+~P1(f317(f150(x94621,f317(f317(f9(x94621,f907(x94621,a897),a897),f319(x94621)),x94623)),x94622))
% 199.17/199.22 [9477]P1(f317(f317(f319(f907(x94771,a897)),x94772),f317(f298(x94771),x94773)))+~P1(f317(f238(x94771,f317(f317(f9(x94771,f907(x94771,a897),a897),f319(x94771)),x94773)),x94772))
% 199.17/199.22 [9539]P1(f317(f317(f319(x95391),f317(f258(x95391,x95392),x95393)),f317(f162(x95391),f317(f317(f144(f906(a89,x95391),x95391),f246(a89,x95391)),x95392))))+~P1(f317(f317(f225(a89),x95393),f317(f155(a89),f317(f317(f144(f906(a89,x95391),a89),f241(a89,x95391)),x95392))))
% 199.17/199.22 [9587]P1(f317(f317(f224(f907(f906(f902(x95871),f902(x95871)),a897)),f148(x95871,x95872)),f317(f317(f244(f902(x95871),f902(x95871)),f151(x95871,x95873)),f317(f18(f907(f902(x95871),a897),f902(x95871)),f151(x95871,x95873)))))+~P1(f317(f317(f224(f907(f906(x95871,x95871),a897)),x95872),f317(f317(f244(x95871,x95871),x95873),f317(f18(f907(x95871,a897),x95871),x95873))))
% 199.17/199.22 [9612]P1(f317(f317(f319(x96121),f317(f241(x96121,f906(a89,a89)),f317(f256(x96121,x96122),x96123))),f317(f162(x96121),f317(f317(f144(f906(a89,x96121),x96121),f246(a89,x96121)),x96122))))+~P1(f317(f317(f225(a89),f2(a89)),f317(f155(a89),f317(f317(f144(f906(a89,x96121),a89),f241(a89,x96121)),x96122))))
% 199.17/199.22 [9635]~P1(f317(f317(f224(f907(f906(x96351,x96351),a897)),x96352),f317(f317(f244(x96351,x96351),x96353),f317(f18(f907(x96351,a897),x96351),x96353))))+P1(f317(f317(f224(f907(f906(x96351,x96351),a897)),f317(f317(f278(x96351,x96351,x96351),x96352),f297(x96351,x96352))),f317(f317(f244(x96351,x96351),x96353),f317(f18(f907(x96351,a897),x96351),x96353))))
% 199.17/199.22 [9961]~P34(x99611,x99612)+~P1(f317(f317(f319(f906(x99611,x99611)),f317(f317(f242(x99611,x99611),f317(x99613,f317(a102,f551(x99612,x99611,x99613)))),f317(x99613,f551(x99612,x99611,x99613)))),x99612))
% 199.17/199.22 [9962]~P34(x99621,x99622)+~P1(f317(f317(f319(f906(x99621,x99621)),f317(f317(f242(x99621,x99621),f317(x99623,f317(a102,f593(x99623,x99622,x99621)))),f317(x99623,f593(x99623,x99622,x99621)))),x99622))
% 199.17/199.22 [10189]P1(f317(f317(f224(f907(f906(f907(x101891,a897),f907(x101891,a897)),a897)),f317(f317(f278(f907(x101891,a897),f907(x101891,a897),f907(x101891,a897)),f310(x101891,x101892)),f317(f317(f91(f907(f906(f907(x101891,a897),f907(x101891,a897)),a897)),f310(x101891,x101893)),f317(f317(f299(f906(f907(x101891,a897),f907(x101891,a897))),f317(f317(f242(f907(x101891,a897),f907(x101891,a897)),f179(f907(x101891,a897))),f179(f907(x101891,a897)))),f179(f907(f906(f907(x101891,a897),f907(x101891,a897)),a897)))))),f310(x101891,x101892)))+~P1(f317(f317(f224(f907(f906(x101891,x101891),a897)),f317(f317(f278(x101891,x101891,x101891),x101892),x101893)),x101892))
% 199.17/199.22 [10190]P1(f317(f317(f224(f907(f906(f907(x101901,a897),f907(x101901,a897)),a897)),f317(f317(f278(f907(x101901,a897),f907(x101901,a897),f907(x101901,a897)),f308(x101901,x101902)),f317(f317(f91(f907(f906(f907(x101901,a897),f907(x101901,a897)),a897)),f308(x101901,x101903)),f317(f317(f299(f906(f907(x101901,a897),f907(x101901,a897))),f317(f317(f242(f907(x101901,a897),f907(x101901,a897)),f179(f907(x101901,a897))),f179(f907(x101901,a897)))),f179(f907(f906(f907(x101901,a897),f907(x101901,a897)),a897)))))),f308(x101901,x101902)))+~P1(f317(f317(f224(f907(f906(x101901,x101901),a897)),f317(f317(f278(x101901,x101901,x101901),x101902),x101903)),x101902))
% 199.17/199.22 [7373]~P1(f317(f317(f224(a901),x73732),x73731))+E(f317(f317(f3(a901),f317(a102,f317(f317(f3(a901),x73731),x73732))),x73733),f317(f317(f3(a901),f317(a102,x73731)),f317(f317(f74(a901),x73732),x73733)))
% 199.17/199.22 [7409]~P58(x74091)+E(f317(f317(f74(x74091),f40(x74091,x74092,x74093)),f317(f317(f75(x74091),f317(f317(f30(x74091),x74092),x74093)),x74093)),x74092)
% 199.17/199.22 [7601]E(f317(f317(f75(a901),f317(f94(a901),x76011)),f317(f317(f75(a901),f317(f94(a901),x76012)),x76013)),f317(f317(f75(a901),f317(f94(a901),f317(f317(f75(a1),x76011),x76012))),x76013))+P1(f317(f317(f225(a1),x76011),a77))
% 199.17/199.22 [8062]~P1(f317(f317(f224(a901),x80623),x80622))+P1(f317(f317(f224(a901),x80621),f317(f317(f3(a901),f317(f317(f74(a901),x80622),x80621)),x80623)))
% 199.17/199.22 [8265]~P1(f317(f317(f224(a901),x82651),x82652))+E(f317(f317(f124(a901),f129(a901,f317(f293(a901,x82651),x82652))),f129(a901,f317(f293(a901,x82652),f317(f317(f74(a901),x82652),x82653)))),f129(a901,f317(f293(a901,x82651),f317(f317(f74(a901),x82652),x82653))))
% 199.17/199.22 [8512]~P1(f317(f28(x85121),x85122))+E(f317(a102,f317(f29(x85121),f317(f317(f3(f907(x85121,a897)),x85122),f317(f317(f299(x85121),x85123),f179(f907(x85121,a897)))))),f317(f29(x85121),f317(f317(f299(x85121),x85123),x85122)))
% 199.17/199.22 [8554]~P1(f317(f28(x85541),x85542))+E(f317(f317(f74(a901),f72(a901)),f317(f29(x85541),f317(f317(f3(f907(x85541,a897)),x85542),f317(f317(f299(x85541),x85543),f179(f907(x85541,a897)))))),f317(f29(x85541),f317(f317(f299(x85541),x85543),x85542)))
% 199.17/199.22 [8743]E(f317(f317(f3(a901),f317(f29(x87431),x87432)),f317(f29(x87431),f317(f317(f92(f907(x87431,a897)),x87432),x87433))),f317(f29(x87431),f317(f317(f3(f907(x87431,a897)),x87432),x87433)))+~P1(f317(f28(x87431),f317(f317(f92(f907(x87431,a897)),x87432),x87433)))
% 199.17/199.22 [8989]~P4(f317(x89892,f444(x89892,x89893,x89891)))+E(f317(f90(a1),f317(f317(f8(x89891,a901),f317(f317(f10(a1,a901,x89891),a95),x89892)),x89893)),f317(f317(f8(x89891,a1),x89892),x89893))
% 199.17/199.22 [8990]~P4(f317(x89902,f445(x89902,x89903,x89901)))+E(f317(f90(a1),f317(f317(f11(x89901,a901),f317(f317(f10(a1,a901,x89901),a95),x89902)),x89903)),f317(f317(f11(x89901,a1),x89902),x89903))
% 199.17/199.22 [9031]~P1(f317(f28(x90311),x90313))+P1(f317(f317(f224(a901),f317(f317(f3(a901),f317(f29(x90311),x90312)),f317(f29(x90311),x90313))),f317(f29(x90311),f317(f317(f3(f907(x90311,a897)),x90312),x90313))))
% 199.17/199.22 [9058]P1(f317(f317(f319(x90581),f444(x90582,x90583,x90581)),x90583))+E(f317(f90(a1),f317(f317(f8(x90581,a901),f317(f317(f10(a1,a901,x90581),a95),x90582)),x90583)),f317(f317(f8(x90581,a1),x90582),x90583))
% 199.17/199.22 [9059]P1(f317(f317(f319(x90591),f445(x90592,x90593,x90591)),x90593))+E(f317(f90(a1),f317(f317(f11(x90591,a901),f317(f317(f10(a1,a901,x90591),a95),x90592)),x90593)),f317(f317(f11(x90591,a1),x90592),x90593))
% 199.17/199.22 [9122]E(f79(x91221,f317(f317(f9(x91221,f907(x91221,a897),a897),f319(x91221)),f317(f317(f3(f907(x91221,a897)),x91222),f317(f317(f299(x91221),x91223),f179(f907(x91221,a897)))))),f237(x91221,x91223,x91222))+P1(f317(f317(f224(f907(x91221,a897)),x91222),f317(f317(f299(x91221),x91223),f179(f907(x91221,a897)))))
% 199.17/199.22 [9478]E(f317(f317(f144(f902(x94781),x94781),f317(f317(f9(f902(x94781),a901,x94781),f154(x94781)),x94782)),f317(f126(f902(x94781),f317(f317(f10(a901,a897,f902(x94781)),f317(f225(a901),x94782)),f180(f902(x94781)))),x94783)),f317(f317(f154(f902(x94781)),f169(x94781,x94783)),x94782))+~P1(f317(f317(f225(a901),x94782),f317(f180(f902(f902(x94781))),f169(x94781,x94783))))
% 199.17/199.22 [9560]E(f317(f126(x95601,x95602),x95603),f167(x95601,x95602,x95603))+P1(f317(f317(f319(x95601),f704(x95603,x95602,x95601)),f317(f162(x95601),f317(f317(f128(x95601),f317(f180(f902(x95601)),f167(x95601,x95602,x95603))),x95603))))
% 199.17/199.22 [9711]E(f317(f317(f128(x97111),f317(f180(f902(x97111)),f167(x97111,x97112,x97113))),x97113),f103(x97111))+~P1(f317(x97112,f317(f131(x97111),f317(f317(f128(x97111),f317(f180(f902(x97111)),f167(x97111,x97112,x97113))),x97113))))
% 199.17/199.22 [9815]~P1(f317(f317(f319(f906(x98151,x98151)),x98152),f297(x98151,x98153)))+P1(f317(f317(f319(f906(x98151,x98151)),x98152),f317(f317(f35(a901,f907(f906(x98151,x98151),a897)),f232(f907(a901,a897))),f317(f317(f9(a901,f907(f906(x98151,x98151),a897),f907(f906(x98151,x98151),a897)),f173(f906(x98151,x98151),a897)),x98153))))
% 199.17/199.22 [9877]~P1(f317(f317(f224(f907(x98771,a897)),f317(f317(f35(a901,f907(x98771,a897)),f317(f293(a901,f2(a901)),f487(x98773,x98772,x98771))),x98772)),x98773))+P1(f317(f317(f224(f907(x98771,a897)),f317(f317(f35(a901,f907(x98771,a897)),f232(f907(a901,a897))),x98772)),x98773))
% 199.17/199.22 [9936]~P1(f317(f317(f225(a1),f2(a1)),x99363))+P1(f317(f317(f225(a1),x99361),f317(f317(f74(a1),x99362),f317(f317(f75(a1),f317(f317(f74(a1),f317(f70(a1),f317(f317(f3(a1),x99362),x99361))),f72(a1))),x99363))))
% 199.17/199.22 [9948]~P34(x99481,f317(f317(f91(f907(f906(x99481,x99481),a897)),x99482),x99483))+P34(x99481,f317(f317(f91(f907(f906(x99481,x99481),a897)),f317(f317(f91(f907(f906(x99481,x99481),a897)),f317(f317(f278(x99481,x99481,x99481),x99482),x99482)),f317(f317(f278(x99481,x99481,x99481),x99483),x99482))),x99483))
% 199.17/199.22 [10018]P34(x100181,f317(f317(f91(f907(f906(x100181,x100181),a897)),x100182),x100183))+~P34(x100181,f317(f317(f91(f907(f906(x100181,x100181),a897)),f317(f317(f91(f907(f906(x100181,x100181),a897)),f317(f317(f278(x100181,x100181,x100181),x100182),x100182)),f317(f317(f278(x100181,x100181,x100181),x100183),x100182))),x100183))
% 199.17/199.22 [9566]~P141(x95661)+E(f317(f93(x95661),f317(a83,f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),f317(f317(f242(a901,a901),x95662),x95663)),f179(f907(f906(a901,a901),a897)))))),f317(f317(f3(x95661),f317(f90(x95661),x95662)),f317(f90(x95661),x95663)))
% 199.17/199.22 [9660]P1(f317(x96603,x96602))+E(f317(f252(x96601),f317(f317(f20(x96601,a897,a897),f317(f317(f10(a897,f907(a897,a897),x96601),a315),f317(f317(f9(x96601,x96601,a897),a314),x96602))),x96603)),f179(f907(x96601,a897)))
% 199.17/199.22 [9662]~P1(f317(x96623,x96622))+E(f317(f252(x96621),f317(f317(f20(x96621,a897,a897),f317(f317(f10(a897,f907(a897,a897),x96621),a315),f317(f317(f9(x96621,x96621,a897),a314),x96622))),x96623)),f317(f317(f299(x96621),x96622),f179(f907(x96621,a897))))
% 199.17/199.22 [9913]E(x99131,x99132)+P1(f317(f317(f233(x99133,x99133,f317(f317(f10(f907(x99133,a897),f907(x99133,a897),x99133),f317(f10(a897,a897,x99133),a312)),a314)),x99131),x99132))
% 199.17/199.22 [9998]~E(x99981,x99982)+~P1(f317(f317(f233(x99983,x99983,f317(f317(f10(f907(x99983,a897),f907(x99983,a897),x99983),f317(f10(a897,a897,x99983),a312)),a314)),x99981),x99982))
% 199.17/199.22 [10010]~P1(f317(f28(x100101),x100103))+E(f317(f317(f58(x100101,f907(x100101,a897),f317(f317(f10(f907(x100101,a897),f907(f907(x100101,a897),f907(x100101,a897)),x100101),f317(f9(f907(x100101,a897),f907(x100101,a897),f907(x100101,a897)),f3(f907(x100101,a897)))),f317(f317(f9(x100101,f907(x100101,a897),f907(x100101,a897)),f299(x100101)),f179(f907(x100101,a897))))),x100102),x100103),f317(f317(f3(f907(x100101,a897)),x100102),x100103))
% 199.17/199.22 [10037]~P1(f317(f317(f225(a1),f2(a1)),x100373))+P1(f317(f317(f225(a1),f317(f317(f3(a1),x100371),f317(f317(f75(a1),f317(f317(f74(a1),f317(f70(a1),f317(f317(f3(a1),x100371),x100372))),f72(a1))),x100373))),x100372))
% 199.17/199.22 [10307]~P1(f317(f317(f319(x103071),x103073),f306(x103071,x103072)))+P1(f317(f305(x103071,f317(f317(f9(x103071,f907(f906(x103071,x103071),a897),f907(x103071,a897)),f317(f317(f10(f907(x103071,f907(f907(f906(x103071,x103071),a897),a897)),f907(f907(f906(x103071,x103071),a897),f907(x103071,a897)),x103071),f9(x103071,f907(f906(x103071,x103071),a897),a897)),f317(f317(f10(f907(x103071,f906(x103071,x103071)),f907(x103071,f907(f907(f906(x103071,x103071),a897),a897)),x103071),f317(f10(f906(x103071,x103071),f907(f907(f906(x103071,x103071),a897),a897),x103071),f319(f906(x103071,x103071)))),f242(x103071,x103071)))),x103072)),x103073))
% 199.17/199.23 [10321]P1(f317(f317(f319(x103211),x103212),f306(x103211,x103213)))+~P1(f317(f305(x103211,f317(f317(f9(x103211,f907(f906(x103211,x103211),a897),f907(x103211,a897)),f317(f317(f10(f907(x103211,f907(f907(f906(x103211,x103211),a897),a897)),f907(f907(f906(x103211,x103211),a897),f907(x103211,a897)),x103211),f9(x103211,f907(f906(x103211,x103211),a897),a897)),f317(f317(f10(f907(x103211,f906(x103211,x103211)),f907(x103211,f907(f907(f906(x103211,x103211),a897),a897)),x103211),f317(f10(f906(x103211,x103211),f907(f907(f906(x103211,x103211),a897),a897),x103211),f319(f906(x103211,x103211)))),f242(x103211,x103211)))),x103213)),x103212))
% 199.17/199.23 [9875]~P1(f317(f28(x98751),f317(f252(x98751),x98753)))+P1(f317(f28(x98751),f317(f252(x98751),f317(f317(f20(x98751,a897,a897),f317(f317(f10(a897,f907(a897,a897),x98751),a315),x98752)),x98753))))
% 199.17/199.23 [9876]~P1(f317(f28(x98761),f317(f252(x98761),x98762)))+P1(f317(f28(x98761),f317(f252(x98761),f317(f317(f20(x98761,a897,a897),f317(f317(f10(a897,f907(a897,a897),x98761),a315),x98762)),x98763))))
% 199.17/199.23 [9982]P1(f317(f28(x99821),f317(f252(x99821),x99822)))+~P1(f317(f28(x99821),f317(f252(x99821),f317(f317(f20(x99821,a897,a897),f317(f317(f10(a897,f907(a897,a897),x99821),a316),x99823)),x99822))))
% 199.17/199.23 [9983]P1(f317(f28(x99831),f317(f252(x99831),x99832)))+~P1(f317(f28(x99831),f317(f252(x99831),f317(f317(f20(x99831,a897,a897),f317(f317(f10(a897,f907(a897,a897),x99831),a316),x99832)),x99833))))
% 199.17/199.23 [10264]~P1(f317(f28(x102641),x102642))+P1(f317(f28(f902(x102641)),f317(f252(f902(x102641)),f317(f317(f20(f902(x102641),a897,a897),f317(f317(f10(a897,f907(a897,a897),f902(x102641)),a315),f317(f317(f9(f902(x102641),f907(x102641,a897),a897),f317(f317(f10(f907(x102641,a897),f907(f907(x102641,a897),a897),f902(x102641)),f224(f907(x102641,a897))),f162(x102641))),x102642))),f317(f317(f9(f902(x102641),a901,a897),f317(f317(f10(a901,f907(a901,a897),f902(x102641)),a314),f180(f902(x102641)))),x102643)))))
% 199.17/199.23 [10265]~P1(f317(f28(x102651),x102652))+P1(f317(f28(f902(x102651)),f317(f252(f902(x102651)),f317(f317(f20(f902(x102651),a897,a897),f317(f317(f10(a897,f907(a897,a897),f902(x102651)),a315),f317(f317(f9(f902(x102651),f907(x102651,a897),a897),f317(f317(f10(f907(x102651,a897),f907(f907(x102651,a897),a897),f902(x102651)),f224(f907(x102651,a897))),f162(x102651))),x102652))),f317(f317(f9(f902(x102651),a901,a897),f317(f317(f10(a901,f907(a901,a897),f902(x102651)),f224(a901)),f180(f902(x102651)))),x102653)))))
% 199.17/199.23 [9520]~P97(x95201)+E(f317(f317(f234(x95201),x95202),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x95203)),x95203)),a87))),f317(f317(f82(x95201,x95201),f317(f317(f234(x95201),x95202),f317(f94(a901),x95203))),f317(f317(f20(x95201,x95201,x95201),f75(x95201)),f7(x95201))))
% 199.17/199.23 [10221]~P118(x102211)+E(f317(f317(f234(x102211),x102212),f317(f317(f75(a901),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x102213)),f317(f317(f75(x102211),f317(f317(f234(x102211),x102212),x102213)),f317(f317(f234(x102211),x102212),x102213)))
% 199.17/199.23 [10241]~P84(x102411)+E(f317(f317(f234(x102411),f317(f317(f234(x102411),x102412),x102413)),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f317(f317(f234(x102411),x102412),f317(f317(f75(a901),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x102413)))
% 199.17/199.23 [10286]~P141(x102861)+E(f317(f317(f234(x102861),f317(f73(x102861),x102862)),f317(f317(f75(a901),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x102863)),f317(f317(f234(x102861),x102862),f317(f317(f75(a901),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x102863)))
% 199.17/199.23 [10345]~P119(x103451)+P1(f317(f317(f224(x103451),f2(x103451)),f317(f317(f74(x103451),f317(f317(f234(x103451),x103452),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))),f317(f317(f234(x103451),x103453),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))))))
% 199.17/199.23 [10294]~P118(x102941)+E(f317(f317(f234(x102941),x102942),f317(a102,f317(f317(f75(a901),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x102943))),f317(f317(f75(x102941),x102942),f317(f317(f75(x102941),f317(f317(f234(x102941),x102942),x102943)),f317(f317(f234(x102941),x102942),x102943))))
% 199.17/199.23 [10313]~P84(x103131)+E(f317(f317(f75(x103131),x103132),f317(f317(f234(x103131),f317(f317(f234(x103131),x103132),x103133)),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))),f317(f317(f234(x103131),x103132),f317(a102,f317(f317(f75(a901),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x103133))))
% 199.17/199.23 [10325]~P119(x103251)+P1(f317(f317(f224(x103251),f2(x103251)),f317(f317(f234(x103251),x103252),f317(f317(f75(a901),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x103253))))
% 199.17/199.23 [10364]~P97(x103641)+E(f317(f317(f3(x103641),f317(f317(f74(x103641),f317(f317(f234(x103641),x103642),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))),f317(f317(f234(x103641),x103643),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))))),f317(f317(f75(x103641),f317(f317(f75(x103641),f317(f94(x103641),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x103642)),x103643)),f317(f317(f234(x103641),f317(f317(f3(x103641),x103642),x103643)),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))))
% 199.17/199.23 [10365]~P97(x103651)+E(f317(f317(f74(x103651),f317(f317(f74(x103651),f317(f317(f234(x103651),x103652),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))),f317(f317(f234(x103651),x103653),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))))),f317(f317(f75(x103651),f317(f317(f75(x103651),f317(f94(x103651),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x103652)),x103653)),f317(f317(f234(x103651),f317(f317(f74(x103651),x103652),x103653)),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))))
% 199.17/199.23 [7866]P22(x78661,x78662,x78663,x78664)+~E(f506(x78664,x78663,x78662,x78661),f507(x78664,x78663,x78662,x78661))
% 199.17/199.23 [8151]P31(x81511,x81512,x81513,x81514,f103(x81512))+~E(x81514,f103(x81511))
% 199.17/199.23 [8152]P31(x81521,x81522,x81523,f103(x81521),x81524)+~E(x81524,f103(x81522))
% 199.17/199.23 [8691]~P31(x86912,x86913,x86914,x86911,f103(x86913))+E(x86911,f103(x86912))
% 199.17/199.23 [8692]~P31(x86923,x86922,x86924,f103(x86923),x86921)+E(x86921,f103(x86922))
% 199.17/199.23 [5133]~P15(x51333,x51331,x51334)+E(f317(f317(x51331,x51332),x51332),x51332)
% 199.17/199.23 [5378]P1(f317(x53782,x53784))+E(f317(f126(x53781,x53782),f159(x53781,x53783,x53784)),f103(x53781))
% 199.17/199.23 [5417]~E(x54174,f179(f907(x54171,a897)))+E(f317(f300(x54171,x54172,x54173),x54174),f179(f907(x54172,a897)))
% 199.17/199.23 [5663]~P1(f317(x56632,x56634))+E(f317(f126(x56631,x56632),f159(x56631,x56633,x56634)),f159(x56631,x56633,x56634))
% 199.17/199.23 [5695]~E(f317(f300(x56952,x56953,x56954),x56951),f179(f907(x56953,a897)))+E(x56951,f179(f907(x56952,a897)))
% 199.17/199.23 [5882]~P5(x58821,x58823)+E(f261(x58821,x58822,f260(x58821,x58823),x58824),x58824)
% 199.17/199.23 [5998]~P108(x59982)+E(f317(f317(f138(x59981,x59982,x59983),x59984),f103(x59981)),f317(f317(f141(x59981),x59984),f103(x59981)))
% 199.17/199.23 [6360]~E(x63601,f179(f907(x63602,a897)))+~P1(f317(f56(x63602,x63603,x63601),x63604))
% 199.17/199.23 [6383]~P56(x63831,x63833,x63834,x63832)+P1(f317(f28(x63831),x63832))
% 199.17/199.23 [6385]~P56(x63851,x63853,x63852,x63854)+P1(f317(f28(x63851),x63852))
% 199.17/199.23 [6392]~P56(x63922,x63923,x63924,x63921)+~E(x63921,f179(f907(x63922,a897)))
% 199.17/199.23 [6426]~P109(x64261)+E(f317(f317(f92(f907(x64261,a897)),f317(f293(x64261,x64262),x64263)),f294(x64261,x64263,x64264)),f179(f907(x64261,a897)))
% 199.17/199.23 [6451]~P1(f317(f317(x64513,x64514),x64512))+P1(f317(f317(f319(x64511),x64512),f283(x64511,x64513,x64514)))
% 199.17/199.23 [6452]~P1(f317(f317(x64523,x64524),x64522))+P1(f317(f317(f319(x64521),x64522),f284(x64521,x64523,x64524)))
% 199.17/199.23 [6453]~P1(f317(f317(x64533,x64532),x64534))+P1(f317(f317(f319(x64531),x64532),f285(x64531,x64533,x64534)))
% 199.17/199.23 [6454]~P1(f317(f317(x64543,x64542),x64544))+P1(f317(f317(f319(x64541),x64542),f287(x64541,x64543,x64544)))
% 199.17/199.23 [6599]~P109(x65991)+E(f317(f317(f92(f907(x65991,a897)),f296(x65991,x65992,x65993)),f294(x65991,x65993,x65994)),f179(f907(x65991,a897)))
% 199.17/199.23 [6600]~P109(x66001)+E(f317(f317(f92(f907(x66001,a897)),f295(x66001,x66002,x66003)),f296(x66001,x66003,x66004)),f179(f907(x66001,a897)))
% 199.17/199.23 [6601]~P109(x66011)+E(f317(f317(f92(f907(x66011,a897)),f295(x66011,x66012,x66013)),f295(x66011,x66013,x66014)),f179(f907(x66011,a897)))
% 199.17/199.23 [6602]~P109(x66021)+E(f317(f317(f92(f907(x66021,a897)),f294(x66021,x66022,x66023)),f296(x66021,x66023,x66024)),f179(f907(x66021,a897)))
% 199.17/199.23 [6603]~P109(x66031)+E(f317(f317(f92(f907(x66031,a897)),f294(x66031,x66032,x66033)),f295(x66031,x66033,x66034)),f179(f907(x66031,a897)))
% 199.17/199.23 [6639]P1(f317(f317(x66391,x66392),f549(x66392,x66391)))+~P1(f317(f239(x66393,x66394,x66391),x66392))
% 199.17/199.23 [6721]~P108(x67212)+E(f317(f162(x67211),f140(x67211,x67212,x67213,x67214)),f317(f162(x67211),x67214))
% 199.17/199.23 [6773]~P146(x67731)+E(f181(x67731,x67732,f317(a102,x67733),x67734),f181(x67731,x67732,x67733,f317(x67732,x67734)))
% 199.17/199.23 [6837]~P1(f317(f317(f319(x68374),x68373),f283(x68374,x68371,x68372)))+P1(f317(f317(x68371,x68372),x68373))
% 199.17/199.23 [6838]~P1(f317(f317(f319(x68384),x68383),f284(x68384,x68381,x68382)))+P1(f317(f317(x68381,x68382),x68383))
% 199.17/199.23 [6839]~P1(f317(f317(f319(x68394),x68392),f285(x68394,x68391,x68393)))+P1(f317(f317(x68391,x68392),x68393))
% 199.17/199.23 [6840]~P1(f317(f317(f319(x68404),x68402),f287(x68404,x68401,x68403)))+P1(f317(f317(x68401,x68402),x68403))
% 199.17/199.23 [6912]E(f317(f29(f908(x69121,x69122)),f303(x69121,x69122,x69123,x69124)),f2(a901))+P1(f317(f28(x69122),x69124))
% 199.17/199.23 [6913]E(f317(f29(f908(x69131,x69132)),f303(x69131,x69132,x69133,x69134)),f2(a901))+P1(f317(f28(x69131),x69133))
% 199.17/199.23 [7118]~P12(x71184,x71181,x71182)+E(f317(f67(x71181,x71181,x71181,f317(x71182,x71183)),f317(x71182,x71183)),f317(x71182,x71183))
% 199.17/199.23 [7358]E(f267(x73581,x73582,x73583,x73584),f317(f242(f907(a89,f907(a897,f904(f903(x73581)))),f906(a89,a89)),f36(x73581)))+~P1(f317(f317(f224(a89),x73583),f2(a89)))
% 199.17/199.23 [7989]~E(x79892,x79893)+P1(f317(f317(f319(f906(x79891,x79891)),f317(f317(f242(x79891,x79891),x79892),x79893)),f297(x79891,x79894)))
% 199.17/199.23 [8018]~P22(x80181,x80182,x80183,f232(f907(x80181,a897)))+E(f317(f71(x80181,x80182,f232(f907(x80181,a897)),x80183),f317(x80183,x80184)),x80184)
% 199.17/199.23 [8019]~P22(x80191,x80192,x80193,f232(f907(x80191,a897)))+E(f317(f85(x80191,x80192,f232(f907(x80191,a897)),x80193),f317(x80193,x80194)),x80194)
% 199.17/199.23 [8100]~P1(f317(f317(f319(f902(x81001)),f317(f317(f141(x81001),x81004),x81002)),f151(x81001,x81003)))+P1(f317(f317(f319(f902(x81001)),x81002),f151(x81001,x81003)))
% 199.17/199.23 [8101]~P1(f317(f317(f319(f902(x81011)),f317(f317(f124(x81011),x81014),x81012)),f151(x81011,x81013)))+P1(f317(f317(f319(f902(x81011)),x81012),f151(x81011,x81013)))
% 199.17/199.23 [8102]~P1(f317(f317(f319(f902(x81021)),f317(f317(f124(x81021),x81022),x81024)),f151(x81021,x81023)))+P1(f317(f317(f319(f902(x81021)),x81022),f151(x81021,x81023)))
% 199.17/199.23 [8113]~P108(x81131)+P11(x81131,f317(f317(f144(x81132,x81131),x81133),f140(x81132,x81131,x81133,x81134)))
% 199.17/199.23 [8222]P22(x82224,x82223,x82221,x82222)+E(f317(x82221,f506(x82222,x82221,x82223,x82224)),f317(x82221,f507(x82222,x82221,x82223,x82224)))
% 199.17/199.23 [8329]~P22(x83292,x83291,x83294,x83293)+P22(x83291,x83292,f71(x83292,x83291,x83293,x83294),f317(f300(x83292,x83291,x83294),x83293))
% 199.17/199.23 [8465]P34(f906(x84652,x84654),f270(x84652,x84654,x84651,x84653))+P1(f317(x84651,f555(x84652,x84653,x84654,x84651)))
% 199.17/199.23 [8579]E(x85791,x85792)+~P1(f317(f317(f319(f906(x85793,x85793)),f317(f317(f242(x85793,x85793),x85791),x85792)),f253(x85793,x85794)))
% 199.17/199.23 [8644]~P1(f317(f28(f908(x86443,x86441)),f303(x86443,x86441,x86444,x86442)))+P1(f317(f28(x86441),x86442))
% 199.17/199.23 [8645]~P1(f317(f28(f908(x86451,x86453)),f303(x86451,x86453,x86452,x86454)))+P1(f317(f28(x86451),x86452))
% 199.17/199.23 [8654]~P22(x86541,x86542,x86543,x86544)+P23(x86541,x86542,x86543,x86544,f317(f300(x86541,x86542,x86543),x86544))
% 199.17/199.23 [8655]P9(x86551,x86552,x86553,x86554)+~E(f317(x86554,f811(x86552,x86554,x86553,x86551)),f317(x86554,f812(x86552,x86554,x86553,x86551)))
% 199.17/199.23 [8744]~P23(x87442,x87443,x87444,x87441,f179(f907(x87443,a897)))+E(x87441,f179(f907(x87442,a897)))
% 199.17/199.23 [8745]~P23(x87453,x87452,x87454,f179(f907(x87453,a897)),x87451)+E(x87451,f179(f907(x87452,a897)))
% 199.17/199.23 [8829]P34(f906(x88291,x88292),f270(x88291,x88292,x88293,x88294))+~P34(x88292,f317(x88294,f555(x88291,x88294,x88292,x88293)))
% 199.17/199.23 [9395]E(f317(f317(f149(x93951,x93952),f650(x93953,x93954,x93952,x93951)),f651(x93953,x93954,x93952,x93951)),x93954)+~P1(f317(f317(f319(f906(f902(x93951),f902(x93951))),f317(f317(f242(f902(x93951),f902(x93951)),x93952),x93954)),f147(x93951,x93953)))
% 199.17/199.23 [9403]~P1(f317(f317(f319(f906(f902(x94031),f902(x94031))),f317(f317(f242(f902(x94031),f902(x94031)),x94032),x94033)),f135(x94031,x94034)))+P1(f317(f317(f319(f906(f902(x94031),f902(x94031))),f317(f317(f242(f902(x94031),f902(x94031)),x94032),x94033)),f137(x94031,x94034)))
% 199.17/199.23 [9517]P1(f317(f28(x95171),x95172))+~P1(f317(f317(f319(f906(f907(x95171,a897),f907(x95171,a897))),f317(f317(f242(f907(x95171,a897),f907(x95171,a897)),x95173),x95172)),f308(x95171,x95174)))
% 199.17/199.23 [9518]P1(f317(f28(x95181),x95182))+~P1(f317(f317(f319(f906(f907(x95181,a897),f907(x95181,a897))),f317(f317(f242(f907(x95181,a897),f907(x95181,a897)),x95182),x95183)),f308(x95181,x95184)))
% 199.17/199.23 [9519]~E(x95191,f179(f907(x95192,a897)))+~P1(f317(f317(f319(f906(f907(x95192,a897),f907(x95192,a897))),f317(f317(f242(f907(x95192,a897),f907(x95192,a897)),x95193),x95191)),f308(x95192,x95194)))
% 199.17/199.23 [10170]P9(x101701,x101702,x101703,x101704)+~P1(f317(f317(f247(x101701,x101701,a897),f317(f317(f9(x101701,f907(x101701,x101702),f907(x101701,a897)),f317(f317(f10(f907(x101702,a897),f907(f907(x101701,x101702),f907(x101701,a897)),x101701),f10(x101702,a897,x101701)),f317(f317(f10(x101702,f907(x101702,a897),x101701),a314),x101704))),x101704)),f563(x101704,x101703,x101702,x101701)))
% 199.17/199.23 [5031]~E(x50312,f103(x50311))+E(f317(f317(f149(x50311,x50312),x50313),x50314),f103(x50311))
% 199.17/199.23 [5032]~E(x50324,f103(x50321))+E(f317(f317(f144(x50321,x50322),x50323),x50324),f103(x50322))
% 199.17/199.23 [5265]E(x52651,f103(x52652))+~E(f317(f317(f144(x52652,x52653),x52654),x52651),f103(x52653))
% 199.17/199.23 [5266]E(x52661,f103(x52662))+~E(f317(f317(f149(x52662,x52661),x52663),x52664),f103(x52662))
% 199.17/199.23 [5303]E(x53031,x53032)+~E(f317(f317(f124(x53033),x53034),x53031),f317(f317(f124(x53033),x53034),x53032))
% 199.17/199.23 [5304]E(x53041,x53042)+~E(f317(f317(f124(x53043),x53041),x53044),f317(f317(f124(x53043),x53042),x53044))
% 199.17/199.23 [5455]P1(f317(x54553,x54552))+E(f160(x54551,x54552,f317(f126(x54551,x54553),x54554)),f317(f126(x54551,x54553),x54554))
% 199.17/199.23 [5457]~P1(f317(x54572,x54573))+P30(x54571,x54572,f317(f317(f141(x54571),x54573),x54574))
% 199.17/199.23 [5467]E(x54671,x54672)+~E(f129(a901,f317(f293(a901,x54671),x54673)),f317(f317(f141(a901),x54672),x54674))
% 199.17/199.23 [5516]~P24(x55162,x55163)+P24(x55161,f317(f317(f68(x55162,x55161),x55163),x55164))
% 199.17/199.23 [5517]~P34(x55172,x55173)+P34(x55171,f317(f317(f277(x55172,x55171),x55173),x55174))
% 199.17/199.23 [5518]~P35(x55182,x55183)+P35(x55181,f317(f317(f277(x55182,x55181),x55183),x55184))
% 199.17/199.23 [5519]~P49(x55192,x55193)+P49(x55191,f317(f317(f277(x55192,x55191),x55193),x55194))
% 199.17/199.23 [5647]~P30(x56471,x56472,x56474)+P30(x56471,x56472,f317(f317(f141(x56471),x56473),x56474))
% 199.17/199.23 [5648]~P30(x56481,x56482,x56484)+P30(x56481,x56482,f317(f317(f124(x56481),x56483),x56484))
% 199.17/199.23 [5649]~P30(x56491,x56492,x56493)+P30(x56491,x56492,f317(f317(f124(x56491),x56493),x56494))
% 199.17/199.23 [5738]~E(x57381,f103(x57382))+~E(f317(f317(f124(x57382),x57383),f317(f317(f141(x57382),x57384),f103(x57382))),x57381)
% 199.17/199.23 [5763]~P28(x57633,x57631,f317(f317(f141(x57633),x57632),x57634))+P1(f317(x57631,x57632))
% 199.17/199.23 [5773]E(f104(x57731,x57732),x57733)+~E(f317(f317(f124(x57731),x57733),f317(f317(f141(x57731),x57734),f103(x57731))),x57732)
% 199.17/199.23 [5774]E(f134(x57741,x57742),x57743)+~E(f317(f317(f124(x57741),x57744),f317(f317(f141(x57741),x57743),f103(x57741))),x57742)
% 199.17/199.23 [5884]~E(f129(a901,f317(f293(a901,x58841),x58842)),f317(f317(f141(a901),x58843),x58844))+P1(f317(f317(f225(a901),x58841),x58842))
% 199.17/199.23 [5902]P28(x59021,x59022,x59023)+~P28(x59021,x59022,f317(f317(f141(x59021),x59024),x59023))
% 199.17/199.23 [5903]P28(x59031,x59032,x59033)+~P28(x59031,x59032,f317(f317(f124(x59031),x59034),x59033))
% 199.17/199.23 [5904]P28(x59041,x59042,x59043)+~P28(x59041,x59042,f317(f317(f124(x59041),x59043),x59044))
% 199.17/199.23 [6100]E(x61001,f317(f317(f124(x61002),f317(f158(x61002),x61003)),f317(f317(f141(x61002),x61004),f103(x61002))))+~E(f317(f158(x61002),x61001),f317(f317(f141(x61002),x61004),x61003))
% 199.17/199.23 [6279]~P109(x62791)+E(f317(f317(f92(f907(x62791,a897)),f317(f293(x62791,x62792),x62793)),f317(f293(x62791,x62793),x62794)),f179(f907(x62791,a897)))
% 199.17/199.23 [6290]E(f317(f317(f154(x62901),f159(x62901,x62902,x62903)),x62904),x62903)+~P1(f317(f317(f225(a901),x62904),x62902))
% 199.17/199.23 [6317]~P72(x63171)+E(f317(f155(x63171),f317(f317(f144(a1,x63171),x63172),f168(x63173,x63174))),f317(f317(f8(a1,x63171),x63172),f317(f162(a1),f168(x63173,x63174))))
% 199.17/199.23 [6318]~P72(x63181)+E(f317(f317(f8(a1,x63181),x63182),f317(f162(a1),f168(x63183,x63184))),f317(f155(x63181),f317(f317(f144(a1,x63181),x63182),f168(x63183,x63184))))
% 199.17/199.23 [6464]~E(x64642,f317(f317(f124(x64641),f317(f158(x64641),x64644)),f317(f317(f141(x64641),x64643),f103(x64641))))+E(f317(f158(x64641),x64642),f317(f317(f141(x64641),x64643),x64644))
% 199.17/199.23 [6480]~P17(x64802,x64803,x64804,x64801)+E(f317(x64801,f179(f907(x64802,a897))),f25(x64803))
% 199.17/199.23 [6508]~P109(x65081)+E(f317(f317(f92(f907(x65081,a897)),f296(x65081,x65082,x65083)),f317(f293(x65081,x65083),x65084)),f179(f907(x65081,a897)))
% 199.17/199.23 [6724]E(x67241,f179(f907(x67242,a897)))+~E(f303(x67243,x67242,x67244,x67241),f179(f907(f908(x67243,x67242),a897)))
% 199.17/199.23 [6725]E(x67251,f179(f907(x67252,a897)))+~E(f303(x67252,x67253,x67251,x67254),f179(f907(f908(x67252,x67253),a897)))
% 199.17/199.23 [6794]~P108(x67942)+E(f317(f180(f902(x67941)),f140(x67941,x67942,x67943,x67944)),f317(f180(f902(x67941)),x67944))
% 199.17/199.23 [6805]~P1(f317(f240(x68053,x68054,x68051),x68052))+P1(f317(f317(x68051,f545(x68052,x68051)),x68052))
% 199.17/199.23 [6851]~P1(f317(f28(x68512),x68514))+P1(f317(f28(x68511),f317(f300(x68512,x68511,x68513),x68514)))
% 199.17/199.23 [7079]~P22(x70792,x70791,x70793,x70794)+E(f317(f29(x70791),f317(f300(x70792,x70791,x70793),x70794)),f317(f29(x70792),x70794))
% 199.17/199.23 [7097]E(f317(f300(x70971,x70972,x70973),f317(f301(x70971,x70972,x70973),x70974)),x70974)+~E(f317(f300(x70971,x70972,x70973),f232(f907(x70971,a897))),f232(f907(x70972,a897)))
% 199.17/199.23 [7502]~P22(x75021,x75022,x75023,f232(f907(x75021,a897)))+E(f317(f301(x75021,x75022,x75023),f317(f300(x75021,x75022,x75023),x75024)),x75024)
% 199.17/199.23 [7783]E(x77831,x77832)+~P1(f317(f317(f319(x77833),x77831),f317(f162(x77833),f159(x77833,x77834,x77832))))
% 199.17/199.23 [7792]~E(x77921,f2(a901))+~P1(f317(f317(f319(x77922),x77923),f317(f162(x77922),f159(x77922,x77921,x77924))))
% 199.17/199.23 [7824]P1(f317(x78241,x78242))+~P1(f317(f317(f319(x78243),x78242),f317(f162(x78243),f167(x78243,x78241,x78244))))
% 199.17/199.23 [7939]~P1(f317(f317(f319(f902(x79391)),f317(f317(f141(x79391),x79392),x79394)),f151(x79391,x79393)))+P1(f317(f317(f319(x79391),x79392),x79393))
% 199.17/199.23 [8059]~P1(f317(f317(f319(x80591),x80592),f317(f162(x80591),f166(x80591,x80593,x80594))))+P1(f317(f317(f319(x80591),x80592),f317(f162(x80591),x80593)))
% 199.17/199.23 [8060]~P1(f317(f317(f319(x80601),x80602),f317(f162(x80601),f160(x80601,x80604,x80603))))+P1(f317(f317(f319(x80601),x80602),f317(f162(x80601),x80603)))
% 199.17/199.23 [8061]~P1(f317(f317(f319(x80611),x80612),f317(f162(x80611),f167(x80611,x80614,x80613))))+P1(f317(f317(f319(x80611),x80612),f317(f162(x80611),x80613)))
% 199.17/199.23 [8070]E(f317(f180(f902(x80701)),x80702),x80703)+~P1(f317(f317(f319(f902(x80701)),x80702),f317(f162(f902(x80701)),f50(x80701,x80703,x80704))))
% 199.17/199.23 [8169]P1(f317(x81693,x81692))+E(f317(f126(x81691,f317(f317(f10(a897,a897,x81691),a312),f317(a314,x81692))),f317(f126(x81691,x81693),x81694)),f317(f126(x81691,x81693),x81694))
% 199.17/199.23 [8281]E(f317(f317(f154(x82811),f167(x82811,x82812,x82813)),x82814),f317(f317(f154(x82811),x82813),x82814))+~P1(f317(f317(f225(a901),x82814),f317(f180(f902(x82811)),f167(x82811,x82812,x82813))))
% 199.17/199.23 [8366]~P72(x83661)+E(f317(f317(f8(a901,x83661),f317(f317(f10(a901,x83661,a901),x83662),a102)),f317(f293(a901,x83663),x83664)),f317(f317(f8(a901,x83661),x83662),f317(f293(a901,f317(a102,x83663)),f317(a102,x83664))))
% 199.17/199.23 [8375]~P72(x83751)+E(f317(f317(f8(a901,x83751),f317(f317(f10(a901,x83751,a901),x83752),a102)),f294(a901,x83753,x83754)),f317(f317(f8(a901,x83751),x83752),f294(a901,f317(a102,x83753),f317(a102,x83754))))
% 199.17/199.23 [8502]~P22(x85021,x85023,x85024,f232(f907(x85021,a897)))+P22(x85021,f907(x85022,x85023),f317(f317(f10(x85023,f907(x85022,x85023),x85021),f18(x85023,x85022)),x85024),f232(f907(x85021,a897)))
% 199.17/199.23 [8583]~P22(x85832,x85831,x85834,x85833)+E(f317(f300(x85831,x85832,f71(x85832,x85831,x85833,x85834)),f317(f300(x85832,x85831,x85834),x85833)),x85833)
% 199.17/199.23 [8646]~P1(f317(f317(f319(f906(x86461,x86461)),f317(f317(f242(x86461,x86461),x86462),x86464)),f253(x86461,x86463)))+P1(f317(f317(f319(x86461),x86462),x86463))
% 199.17/199.23 [8763]~P22(x87632,x87631,x87633,f232(f907(x87632,a897)))+E(f317(f300(x87631,x87632,f85(x87632,x87631,f232(f907(x87632,a897)),x87633)),f317(f300(x87632,x87631,x87633),x87634)),x87634)
% 199.17/199.23 [8836]~P23(x88361,x88362,x88363,x88364,f232(f907(x88362,a897)))+E(f317(f300(x88361,x88362,x88363),f232(f907(x88361,a897))),f232(f907(x88362,a897)))
% 199.17/199.23 [8867]~E(f317(f317(f8(x88671,a901),x88674),x88673),f317(a102,x88672))+P1(f317(f317(f319(x88671),f364(x88672,x88673,x88674,x88671)),x88673))
% 199.17/199.23 [8889]~E(f317(f317(f8(x88894,a901),x88891),x88893),f317(a102,x88892))+P1(f317(f317(f225(a901),f2(a901)),f317(x88891,f364(x88892,x88893,x88891,x88894))))
% 199.17/199.23 [8900]~P1(f317(f28(x89002),x89004))+P1(f317(f317(f224(a901),f317(f29(x89001),f317(f300(x89002,x89001,x89003),x89004))),f317(f29(x89002),x89004)))
% 199.17/199.23 [8901]E(f317(f317(f242(x89011,x89012),f624(x89013,x89014,x89012,x89011)),f625(x89013,x89014,x89012,x89011)),x89014)+~P1(f317(f317(f319(f906(x89011,x89012)),x89014),f317(f275(x89012,x89011),x89013)))
% 199.17/199.23 [8909]P22(x89091,x89092,x89093,x89094)+P1(f317(f317(f319(x89091),f506(x89094,x89093,x89092,x89091)),x89094))
% 199.17/199.23 [8910]P22(x89101,x89102,x89103,x89104)+P1(f317(f317(f319(x89101),f507(x89104,x89103,x89102,x89101)),x89104))
% 199.17/199.23 [8981]P9(x89811,x89812,x89813,x89814)+P1(f317(f317(f319(f906(x89811,x89811)),f563(x89814,x89813,x89812,x89811)),x89813))
% 199.17/199.23 [9036]P1(f317(x90361,x90362))+~P1(f317(x90361,f317(f317(f242(x90363,x90364),f449(x90364,x90363,x90361)),f450(x90364,x90363,x90361))))
% 199.17/199.23 [9053]E(f317(f180(f902(x90531)),x90532),f317(f180(f902(x90531)),x90533))+~P1(f317(f317(f319(f906(f902(x90531),f902(x90531))),f317(f317(f242(f902(x90531),f902(x90531)),x90532),x90533)),f135(x90531,x90534)))
% 199.17/199.23 [9054]E(f317(f180(f902(x90541)),x90542),f317(f180(f902(x90541)),x90543))+~P1(f317(f317(f319(f906(f902(x90541),f902(x90541))),f317(f317(f242(f902(x90541),f902(x90541)),x90542),x90543)),f147(x90541,x90544)))
% 199.17/199.23 [9057]E(f317(f180(f902(x90571)),x90572),f317(f180(f902(x90571)),x90573))+~P1(f317(f317(f319(f906(f902(x90571),f902(x90571))),f317(f317(f242(f902(x90571),f902(x90571)),x90572),x90573)),f148(x90571,x90574)))
% 199.17/199.23 [9126]P1(f317(f317(f224(a901),f145(x91261,x91262,x91263)),f145(x91261,x91264,x91263)))+P1(f317(f317(f319(x91261),f649(x91264,x91262,x91263,x91261)),f317(f162(x91261),x91263)))
% 199.17/199.23 [9129]E(f317(f180(f902(x91291)),x91292),f317(f180(f902(x91291)),x91293))+~P1(f317(f317(f319(f906(f902(x91291),f902(x91291))),f317(f317(f242(f902(x91291),f902(x91291)),x91292),x91293)),f297(f902(x91291),f147(x91291,x91294))))
% 199.17/199.23 [9240]P1(f317(f317(f276(a901),x92401),x92402))+P1(f317(f317(f224(f907(a901,a897)),f279(a901,f276(a901),x92401,x92402)),f279(a901,f276(a901),x92403,x92404)))
% 199.17/199.23 [9366]~P22(x93661,x93662,x93663,x93664)+~P1(f317(f317(f225(a901),f317(f29(x93662),f317(f300(x93661,x93662,x93663),x93664))),f317(f29(x93661),x93664)))
% 199.17/199.23 [9420]~P1(f317(f317(f319(f906(f902(x94201),f902(x94201))),f317(f317(f242(f902(x94201),f902(x94201)),x94202),x94203)),f147(x94201,x94204)))+P1(f317(f317(f319(f906(f902(x94201),f902(x94201))),f317(f317(f242(f902(x94201),f902(x94201)),x94202),x94203)),f148(x94201,f297(x94201,x94204))))
% 199.17/199.23 [9424]~P1(f317(f317(f319(f906(f902(x94241),f902(x94241))),f317(f317(f242(f902(x94241),f902(x94241)),x94242),x94243)),f148(x94241,x94244)))+P1(f317(f317(f319(f906(f902(x94241),f902(x94241))),f317(f317(f242(f902(x94241),f902(x94241)),x94242),x94243)),f297(f902(x94241),f147(x94241,x94244))))
% 199.17/199.23 [9436]P1(f317(f317(f319(f906(x94361,x94361)),f317(f317(f242(x94361,x94361),x94362),x94363)),f297(x94361,x94364)))+~P1(f317(f317(f319(f906(x94361,x94361)),f317(f317(f242(x94361,x94361),x94362),x94363)),f317(f317(f278(x94361,x94361,x94361),x94364),f297(x94361,x94364))))
% 199.17/199.23 [9514]P1(f317(f317(f276(a901),x95141),x95142))+~P1(f317(f317(f225(f907(a901,a897)),f279(a901,f276(a901),x95143,x95144)),f279(a901,f276(a901),x95141,x95142)))
% 199.17/199.23 [9636]E(f317(f317(f124(x96361),f667(x96362,x96363,x96364,x96361)),f317(f317(f141(x96361),f668(x96362,x96363,x96364,x96361)),f670(x96362,x96363,x96364,x96361))),x96364)+~P1(f317(f317(f319(f906(f902(x96361),f902(x96361))),f317(f317(f242(f902(x96361),f902(x96361)),x96364),x96363)),f147(x96361,x96362)))
% 199.17/199.23 [9637]E(f317(f317(f124(x96371),f667(x96372,x96373,x96374,x96371)),f317(f317(f141(x96371),f669(x96372,x96373,x96374,x96371)),f670(x96372,x96373,x96374,x96371))),x96373)+~P1(f317(f317(f319(f906(f902(x96371),f902(x96371))),f317(f317(f242(f902(x96371),f902(x96371)),x96374),x96373)),f147(x96371,x96372)))
% 199.17/199.23 [9718]P1(f317(f317(f319(f906(x97181,x97181)),f317(f317(f242(x97181,x97181),x97182),f615(x97183,x97184,x97182,x97181))),f297(x97181,x97183)))+~P1(f317(f317(f319(f906(x97181,x97181)),f317(f317(f242(x97181,x97181),x97182),x97184)),f317(f317(f278(x97181,x97181,x97181),x97183),f297(x97181,x97183))))
% 199.17/199.23 [9800]P1(f317(f317(f224(a901),f145(x98001,x98002,x98003)),f145(x98001,x98004,x98003)))+~P1(f317(f317(f225(a901),f317(x98002,f649(x98004,x98002,x98003,x98001))),f317(x98004,f649(x98004,x98002,x98003,x98001))))
% 199.17/199.23 [9871]P1(f317(f317(f319(f906(x98711,x98711)),f317(f317(f242(x98711,x98711),f614(x98712,x98713,x98714,x98711)),x98713)),f297(x98711,x98712)))+~P1(f317(f317(f319(f906(x98711,x98711)),f317(f317(f242(x98711,x98711),x98714),x98713)),f317(f317(f278(x98711,x98711,x98711),x98712),f297(x98711,x98712))))
% 199.17/199.23 [5284]~E(x52842,x52843)+E(f160(x52841,x52842,f317(f317(f141(x52841),x52843),x52844)),x52844)
% 199.17/199.23 [5410]P1(f317(x54102,x54103))+E(f167(x54101,x54102,f317(f317(f141(x54101),x54103),x54104)),f103(x54101))
% 199.17/199.23 [5479]~P90(x54792)+E(f317(f317(f73(f907(x54791,x54792)),x54793),x54794),f317(f73(x54792),f317(x54793,x54794)))
% 199.17/199.23 [5492]~E(x54922,f2(a901))+E(f317(f317(f128(x54921),x54922),f317(f317(f141(x54921),x54923),x54924)),f317(f317(f141(x54921),x54923),x54924))
% 199.17/199.23 [5493]P1(f317(x54932,x54933))+E(f317(f126(x54931,x54932),f317(f317(f141(x54931),x54933),x54934)),f317(f126(x54931,x54932),x54934))
% 199.17/199.23 [5630]~E(x56302,x56304)+P1(f317(f317(f317(f299(x56301),x56302),x56303),x56304))
% 199.17/199.23 [5638]E(x56381,f103(x56382))+E(f134(x56383,f317(f317(f144(x56382,x56383),x56384),x56381)),f317(x56384,f134(x56382,x56381)))
% 199.17/199.23 [5652]~E(x56521,f57(x56522,x56524))+E(f317(x56521,f317(f317(f299(x56522),x56523),f179(f907(x56522,a897)))),x56523)
% 199.17/199.23 [5690]E(x56901,f103(x56902))+E(f317(f131(x56903),f317(f317(f144(x56902,x56903),x56904),x56901)),f317(x56904,f317(f131(x56902),x56901)))
% 199.17/199.23 [5793]~P1(f317(x57933,x57934))+P1(f317(f317(f317(f299(x57931),x57932),x57933),x57934))
% 199.17/199.23 [5921]~P16(x59212,x59214,x59211)+E(f317(x59211,f317(f317(f299(x59212),x59213),f179(f907(x59212,a897)))),x59213)
% 199.17/199.23 [5947]~E(x59472,x59473)+P1(f317(f317(f319(x59471),x59472),f317(f317(f299(x59471),x59473),x59474)))
% 199.17/199.23 [5953]~P67(x59531)+E(f317(f317(f91(x59531),x59532),f317(f317(f91(x59531),x59533),x59534)),f317(f317(f91(x59531),x59533),f317(f317(f91(x59531),x59532),x59534)))
% 199.17/199.23 [5954]~P68(x59541)+E(f317(f317(f91(x59541),x59542),f317(f317(f91(x59541),x59543),x59544)),f317(f317(f91(x59541),x59543),f317(f317(f91(x59541),x59542),x59544)))
% 199.17/199.23 [5956]~P108(x59561)+E(f317(f317(f228(x59561),x59562),f317(f317(f228(x59561),x59563),x59564)),f317(f317(f228(x59561),x59563),f317(f317(f228(x59561),x59562),x59564)))
% 199.17/199.23 [5958]~P108(x59581)+E(f317(f317(f178(x59581),x59582),f317(f317(f178(x59581),x59583),x59584)),f317(f317(f178(x59581),x59583),f317(f317(f178(x59581),x59582),x59584)))
% 199.17/199.23 [5959]~P68(x59591)+E(f317(f317(f92(x59591),x59592),f317(f317(f92(x59591),x59593),x59594)),f317(f317(f92(x59591),x59593),f317(f317(f92(x59591),x59592),x59594)))
% 199.17/199.23 [5961]~P103(x59611)+E(f317(f317(f92(x59611),x59612),f317(f317(f92(x59611),x59613),x59614)),f317(f317(f92(x59611),x59613),f317(f317(f92(x59611),x59612),x59614)))
% 199.17/199.23 [5962]~P118(x59621)+E(f317(f317(f74(x59621),x59622),f317(f317(f74(x59621),x59623),x59624)),f317(f317(f74(x59621),x59623),f317(f317(f74(x59621),x59622),x59624)))
% 199.17/199.23 [5963]~P118(x59631)+E(f317(f317(f75(x59631),x59632),f317(f317(f75(x59631),x59633),x59634)),f317(f317(f75(x59631),x59633),f317(f317(f75(x59631),x59632),x59634)))
% 199.17/199.23 [5970]E(x59701,x59702)+E(f160(x59703,x59701,f317(f317(f141(x59703),x59702),x59704)),f317(f317(f141(x59703),x59702),f160(x59703,x59701,x59704)))
% 199.17/199.23 [5985]~P1(f317(x59852,x59853))+E(f317(f126(x59851,x59852),f317(f317(f141(x59851),x59853),x59854)),f317(f317(f141(x59851),x59853),f317(f126(x59851,x59852),x59854)))
% 199.17/199.23 [6122]~P1(f317(x61222,x61223))+E(f167(x61221,x61222,f317(f317(f141(x61221),x61223),x61224)),f317(f317(f141(x61221),x61223),f167(x61221,x61222,x61224)))
% 199.17/199.23 [6186]E(x61861,f179(f907(x61862,a897)))+E(f317(f317(f34(x61862,f907(x61863,a897)),x61861),f317(f18(f907(x61863,a897),x61862),x61864)),x61864)
% 199.17/199.23 [6187]E(x61871,f179(f907(x61872,a897)))+E(f317(f317(f35(x61872,f907(x61873,a897)),x61871),f317(f18(f907(x61873,a897),x61872),x61874)),x61874)
% 199.17/199.23 [6196]~E(x61964,f179(f907(x61962,a897)))+E(f317(f317(f244(x61961,x61962),x61963),f317(f18(f907(x61962,a897),x61961),x61964)),f179(f907(f906(x61961,x61962),a897)))
% 199.17/199.23 [6197]~E(x61973,f179(f907(x61971,a897)))+E(f317(f317(f244(x61971,x61972),x61973),f317(f18(f907(x61972,a897),x61971),x61974)),f179(f907(f906(x61971,x61972),a897)))
% 199.17/199.23 [6255]E(x62551,f2(a901))+E(f317(f317(f128(x62552),x62551),f317(f317(f141(x62552),x62553),x62554)),f317(f317(f128(x62552),f317(f317(f3(a901),x62551),f72(a901))),x62554))
% 199.17/199.23 [6272]E(x62721,f179(f907(x62722,a897)))+E(f317(f300(x62722,x62723,f317(f18(x62723,x62722),x62724)),x62721),f317(f317(f299(x62723),x62724),f179(f907(x62723,a897))))
% 199.17/199.23 [6275]E(f317(f301(x62751,x62752,f317(f18(x62752,x62751),x62753)),x62754),f179(f907(x62751,a897)))+P1(f317(f317(f319(x62752),x62753),x62754))
% 199.17/199.23 [6343]~E(x63433,f179(f907(x63431,a897)))+E(f317(f317(f34(x63431,f907(x63432,a897)),x63433),f317(f18(f907(x63432,a897),x63431),x63434)),f232(f907(x63432,a897)))
% 199.17/199.23 [6344]~E(x63443,f179(f907(x63441,a897)))+E(f317(f317(f35(x63441,f907(x63442,a897)),x63443),f317(f18(f907(x63442,a897),x63441),x63444)),f179(f907(x63442,a897)))
% 199.17/199.23 [6346]~P58(x63461)+E(f40(x63461,f317(f317(f75(x63461),x63462),x63463),f317(f317(f75(x63461),x63462),x63464)),f317(f317(f75(x63461),x63462),f40(x63461,x63463,x63464)))
% 199.17/199.23 [6518]E(f317(f301(x65181,x65182,f317(f18(x65182,x65181),x65183)),x65184),f232(f907(x65181,a897)))+~P1(f317(f317(f319(x65182),x65183),x65184))
% 199.17/199.23 [6541]~P1(f317(f317(f319(x65411),x65412),x65414))+P1(f317(f317(f319(x65411),x65412),f317(f317(f299(x65411),x65413),x65414)))
% 199.17/199.23 [6546]P1(f317(x65461,x65462))+~P1(f317(f150(x65463,x65461),f317(f317(f141(x65463),x65462),x65464)))
% 199.17/199.23 [6555]~E(x65553,f317(f317(f3(a901),f317(f180(f902(x65551)),x65552)),f72(a901)))+E(f104(x65551,f317(f317(f149(x65551,x65552),x65553),x65554)),f104(x65551,x65552))
% 199.17/199.23 [6577]~P108(x65771)+E(f317(f317(f92(f907(x65771,a897)),f317(f292(x65771),x65772)),f294(x65771,x65773,x65774)),f294(x65771,x65773,f317(f317(f228(x65771),x65772),x65774)))
% 199.17/199.23 [6578]~P108(x65781)+E(f317(f317(f92(f907(x65781,a897)),f317(f272(x65781),x65782)),f294(x65781,x65783,x65784)),f294(x65781,f317(f317(f178(x65781),x65782),x65783),x65784))
% 199.17/199.23 [6594]E(f317(f317(f92(f907(x65941,a897)),x65942),f317(f317(f299(x65941),x65943),x65944)),f317(f317(f92(f907(x65941,a897)),x65942),x65944))+P1(f317(f317(f319(x65941),x65943),x65942))
% 199.17/199.23 [6606]E(f160(x66061,x66062,f317(f317(f124(x66061),x66063),x66064)),f317(f317(f124(x66061),x66063),f160(x66061,x66062,x66064)))+P1(f317(f317(f319(x66061),x66062),f317(f162(x66061),x66063)))
% 199.17/199.23 [6611]~P84(x66111)+E(f317(f317(f75(x66111),f317(f317(f234(x66111),x66112),x66113)),f317(f317(f234(x66111),x66112),x66114)),f317(f317(f234(x66111),x66112),f317(f317(f74(a901),x66113),x66114)))
% 199.17/199.23 [6612]~P118(x66121)+E(f317(f317(f75(x66121),f317(f317(f234(x66121),x66122),x66123)),f317(f317(f234(x66121),x66122),x66124)),f317(f317(f234(x66121),x66122),f317(f317(f74(a901),x66123),x66124)))
% 199.17/199.23 [6647]~P101(x66471)+E(f317(f317(f92(x66471),f317(f317(f91(x66471),x66472),x66473)),f317(f317(f91(x66471),x66472),x66474)),f317(f317(f91(x66471),x66472),f317(f317(f92(x66471),x66473),x66474)))
% 199.17/199.23 [6648]~P108(x66481)+E(f317(f317(f178(x66481),f317(f317(f228(x66481),x66482),x66483)),f317(f317(f228(x66481),x66482),x66484)),f317(f317(f228(x66481),x66482),f317(f317(f178(x66481),x66483),x66484)))
% 199.17/199.23 [6649]~P108(x66491)+E(f317(f317(f228(x66491),f317(f317(f178(x66491),x66492),x66493)),f317(f317(f178(x66491),x66492),x66494)),f317(f317(f178(x66491),x66492),f317(f317(f228(x66491),x66493),x66494)))
% 199.17/199.23 [6650]~P101(x66501)+E(f317(f317(f91(x66501),f317(f317(f92(x66501),x66502),x66503)),f317(f317(f92(x66501),x66502),x66504)),f317(f317(f92(x66501),x66502),f317(f317(f91(x66501),x66503),x66504)))
% 199.17/199.23 [6651]~P118(x66511)+E(f317(f317(f74(x66511),f317(f317(f75(x66511),x66512),x66513)),f317(f317(f75(x66511),x66512),x66514)),f317(f317(f75(x66511),x66512),f317(f317(f74(x66511),x66513),x66514)))
% 199.17/199.23 [6685]~P58(x66851)+E(f40(x66851,f317(f317(f75(x66851),x66852),x66853),f317(f317(f75(x66851),x66854),x66853)),f317(f317(f75(x66851),f40(x66851,x66852,x66854)),x66853))
% 199.17/199.23 [6688]~E(f317(f180(f902(x66881)),x66883),f317(f180(f902(x66882)),x66884))+E(f317(f317(f144(f906(x66881,x66882),x66882),f246(x66881,x66882)),f317(f317(f171(x66881,x66882),x66883),x66884)),x66884)
% 199.17/199.23 [6689]~E(f317(f180(f902(x66891)),x66893),f317(f180(f902(x66892)),x66894))+E(f317(f317(f144(f906(x66891,x66892),x66891),f241(x66891,x66892)),f317(f317(f171(x66891,x66892),x66893),x66894)),x66893)
% 199.17/199.23 [6694]P1(f317(f150(x66941,x66942),x66943))+~P1(f317(f150(x66941,x66942),f317(f317(f141(x66941),x66944),x66943)))
% 199.17/199.23 [6695]P1(f317(f150(x66951,x66952),x66953))+~P1(f317(f150(x66951,x66952),f317(f317(f124(x66951),x66954),x66953)))
% 199.17/199.23 [6696]P1(f317(f150(x66961,x66962),x66963))+~P1(f317(f150(x66961,x66962),f317(f317(f124(x66961),x66963),x66964)))
% 199.17/199.23 [6701]~P59(x67011)+E(f40(x67011,f317(f317(f3(x67011),x67012),f40(x67011,x67013,x67014)),x67014),f40(x67011,f317(f317(f3(x67011),x67012),x67013),x67014))
% 199.17/199.23 [6703]~P58(x67031)+E(f40(x67031,f317(f317(f75(x67031),x67032),f40(x67031,x67033,x67034)),x67034),f40(x67031,f317(f317(f75(x67031),x67032),x67033),x67034))
% 199.17/199.23 [6704]~P58(x67041)+E(f40(x67041,f317(f317(f74(x67041),x67042),f40(x67041,x67043,x67044)),x67044),f40(x67041,f317(f317(f74(x67041),x67042),x67043),x67044))
% 199.17/199.23 [6786]~P108(x67861)+E(f317(f317(f92(f907(x67861,a897)),f294(x67861,x67862,x67863)),f317(f292(x67861),x67864)),f294(x67861,x67862,f317(f317(f228(x67861),x67863),x67864)))
% 199.17/199.23 [6787]~P108(x67871)+E(f317(f317(f92(f907(x67871,a897)),f294(x67871,x67872,x67873)),f317(f272(x67871),x67874)),f294(x67871,f317(f317(f178(x67871),x67872),x67874),x67873))
% 199.17/199.23 [6790]~E(f317(f180(f902(x67901)),x67903),f317(f180(f902(x67902)),x67904))+E(f317(f317(f171(x67901,x67902),f317(f158(x67901),x67903)),f317(f158(x67902),x67904)),f317(f158(f906(x67901,x67902)),f317(f317(f171(x67901,x67902),x67903),x67904)))
% 199.17/199.23 [6802]E(x68021,f317(f317(f3(a901),f317(f180(f902(x68022)),x68023)),f72(a901)))+E(f104(x68022,f317(f317(f149(x68022,x68023),x68021),x68024)),f317(f317(f149(x68022,f104(x68022,x68023)),x68021),x68024))
% 199.17/199.23 [6817]~P1(f317(f127(x68172),x68174))+P1(f317(f127(f906(x68171,x68172)),f317(f317(f171(x68171,x68172),x68173),x68174)))
% 199.17/199.23 [6818]~P1(f317(f127(x68181),x68183))+P1(f317(f127(f906(x68181,x68182)),f317(f317(f171(x68181,x68182),x68183),x68184)))
% 199.17/199.23 [7082]E(f317(f317(f30(a901),x70821),x70822),x70823)+~P1(f317(f43(x70821,x70822),f317(f317(f242(a901,a901),x70823),x70824)))
% 199.17/199.23 [7106]E(f40(a901,x71061,x71062),x71063)+~P1(f317(f43(x71061,x71062),f317(f317(f242(a901,a901),x71064),x71063)))
% 199.17/199.23 [7109]P1(f317(f127(x71091),x71092))+~P1(f317(f127(x71093),f317(f317(f144(x71091,x71093),x71094),x71092)))
% 199.17/199.23 [7191]E(f160(x71911,x71912,f317(f317(f124(x71911),x71913),x71914)),f317(f317(f124(x71911),f160(x71911,x71912,x71913)),x71914))+~P1(f317(f317(f319(x71911),x71912),f317(f162(x71911),x71913)))
% 199.17/199.23 [7284]~P59(x72841)+E(f40(x72841,f317(f317(f3(x72841),f40(x72841,x72842,x72843)),x72844),x72843),f40(x72841,f317(f317(f3(x72841),x72842),x72844),x72843))
% 199.17/199.23 [7287]~P58(x72871)+E(f40(x72871,f317(f317(f74(x72871),f40(x72871,x72872,x72873)),x72874),x72873),f40(x72871,f317(f317(f74(x72871),x72872),x72874),x72873))
% 199.17/199.23 [7288]~P58(x72881)+E(f40(x72881,f317(f317(f75(x72881),f40(x72881,x72882,x72883)),x72884),x72883),f40(x72881,f317(f317(f75(x72881),x72882),x72884),x72883))
% 199.17/199.23 [7473]~E(x74731,f317(f317(f141(x74732),x74733),x74734))+~P1(f317(f317(f224(a901),f317(f180(f902(x74732)),x74731)),f317(f180(f902(x74732)),x74734)))
% 199.17/199.23 [7675]P22(x76751,x76752,x76753,f317(f162(x76751),x76754))+~P1(f317(f127(x76752),f317(f317(f144(x76751,x76752),x76753),x76754)))
% 199.17/199.23 [7748]~P1(f317(f317(f224(f907(x77481,a897)),x77482),x77484))+P1(f317(f317(f224(f907(x77481,a897)),x77482),f317(f317(f299(x77481),x77483),x77484)))
% 199.17/199.23 [7784]~P59(x77841)+E(f40(x77841,f317(f317(f3(x77841),f40(x77841,x77842,x77843)),f40(x77841,x77844,x77843)),x77843),f40(x77841,f317(f317(f3(x77841),x77842),x77844),x77843))
% 199.17/199.23 [7785]~P58(x77851)+E(f40(x77851,f317(f317(f74(x77851),f40(x77851,x77852,x77853)),f40(x77851,x77854,x77853)),x77853),f40(x77851,f317(f317(f74(x77851),x77852),x77854),x77853))
% 199.17/199.23 [7786]~P58(x77861)+E(f40(x77861,f317(f317(f75(x77861),f40(x77861,x77862,x77863)),f40(x77861,x77864,x77863)),x77863),f40(x77861,f317(f317(f75(x77861),x77862),x77864),x77863))
% 199.17/199.23 [7892]~E(f317(x78924,f453(x78924,x78923,x78921,x78922)),f179(f907(x78922,a897)))+E(f317(f317(f35(x78921,f907(x78922,a897)),x78923),x78924),f179(f907(x78922,a897)))
% 199.17/199.23 [7893]~E(f317(x78934,f466(x78934,x78933,x78931,x78932)),f232(f907(x78932,a897)))+E(f317(f317(f34(x78931,f907(x78932,a897)),x78933),x78934),f232(f907(x78932,a897)))
% 199.17/199.23 [7894]~E(f317(x78944,f469(x78944,x78943,x78942,x78941)),f232(f907(x78942,a897)))+E(f317(f317(f34(x78941,f907(x78942,a897)),x78943),x78944),f232(f907(x78942,a897)))
% 199.17/199.23 [7895]~E(f317(x78954,f467(x78954,x78953,x78952,x78951)),f179(f907(x78952,a897)))+E(f317(f317(f35(x78951,f907(x78952,a897)),x78953),x78954),f179(f907(x78952,a897)))
% 199.17/199.23 [8282]P1(f317(x82821,x82822))+~P1(f317(f317(f319(x82823),x82822),f317(f317(f92(f907(x82823,a897)),x82824),f317(f252(x82823),x82821))))
% 199.17/199.23 [8318]~P1(f317(f317(f224(f907(x83181,a897)),x83183),x83184))+P1(f317(f317(f224(f907(x83181,a897)),f317(f317(f299(x83181),x83182),x83183)),f317(f317(f299(x83181),x83182),x83184)))
% 199.17/199.23 [8494]P1(f317(x84942,x84943))+E(f317(f317(f128(x84941),f317(f180(f902(x84941)),f167(x84941,x84942,f317(f317(f141(x84941),x84943),x84944)))),f317(f317(f141(x84941),x84943),x84944)),f317(f317(f141(x84941),x84943),x84944))
% 199.17/199.23 [8597]~P1(f317(f317(f225(a901),f317(x85974,x85972)),f317(x85974,x85973)))+P1(f317(f317(f319(f906(x85971,x85971)),f317(f317(f242(x85971,x85971),x85972),x85973)),f317(f317(f277(a901,x85971),a230),x85974)))
% 199.17/199.23 [8695]~P1(f317(x86952,f722(x86954,x86952,x86953,x86951)))+E(f167(x86951,x86952,f317(f317(f124(x86951),x86953),x86954)),f317(f317(f124(x86951),x86953),f167(x86951,x86952,x86954)))
% 199.17/199.23 [8767]P22(f902(x87671),f902(x87672),f317(f144(x87671,x87672),x87673),x87674)+~P22(x87671,x87672,x87673,f31(f907(x87671,a897),f317(f300(f902(x87671),f907(x87671,a897),f162(x87671)),x87674)))
% 199.17/199.23 [8840]~P1(f317(x88402,x88403))+E(f317(f317(f128(x88401),f317(f180(f902(x88401)),f167(x88401,x88402,f317(f317(f141(x88401),x88403),x88404)))),f317(f317(f141(x88401),x88403),x88404)),f317(f317(f128(x88401),f317(f180(f902(x88401)),f167(x88401,x88402,x88404))),x88404))
% 199.17/199.23 [8880]~E(x88802,x88803)+E(f317(f126(x88801,f317(f317(f10(a897,a897,x88801),a312),f317(a314,x88802))),f317(f317(f141(x88801),x88803),x88804)),f317(f126(x88801,f317(f317(f10(a897,a897,x88801),a312),f317(a314,x88802))),x88804))
% 199.17/199.23 [8890]E(f317(f317(f35(x88901,f907(x88902,a897)),x88903),x88904),f179(f907(x88902,a897)))+P1(f317(f317(f319(x88901),f453(x88904,x88903,x88901,x88902)),x88903))
% 199.17/199.23 [8891]E(f317(f317(f34(x88911,f907(x88912,a897)),x88913),x88914),f232(f907(x88912,a897)))+P1(f317(f317(f319(x88911),f466(x88914,x88913,x88911,x88912)),x88913))
% 199.17/199.23 [8892]E(f317(f317(f34(x88921,f907(x88922,a897)),x88923),x88924),f232(f907(x88922,a897)))+P1(f317(f317(f319(x88921),f469(x88924,x88923,x88922,x88921)),x88923))
% 199.17/199.23 [8893]E(f317(f317(f35(x88931,f907(x88932,a897)),x88933),x88934),f179(f907(x88932,a897)))+P1(f317(f317(f319(x88931),f467(x88934,x88933,x88932,x88931)),x88933))
% 199.17/199.23 [8933]P1(f317(f317(f225(a901),f317(x89331,x89332)),f317(x89331,x89333)))+~P1(f317(f317(f319(f906(x89334,x89334)),f317(f317(f242(x89334,x89334),x89332),x89333)),f317(f317(f277(a901,x89334),a230),x89331)))
% 199.17/199.23 [8960]E(f167(x89601,x89602,f317(f317(f124(x89601),x89603),x89604)),f317(f317(f124(x89601),x89603),f167(x89601,x89602,x89604)))+P1(f317(f317(f319(x89601),f722(x89604,x89602,x89603,x89601)),f317(f162(x89601),x89603)))
% 199.17/199.23 [9013]~P23(x90131,x90132,x90133,f232(f907(x90131,a897)),f232(f907(x90132,a897)))+E(f317(f300(x90131,x90132,x90133),f317(f73(f907(x90131,a897)),x90134)),f317(f73(f907(x90132,a897)),f317(f300(x90131,x90132,x90133),x90134)))
% 199.17/199.23 [9115]P1(f317(f317(f319(x91151),f495(x91152,x91153,x91154,x91151)),x91153))+~P1(f317(f317(f319(f907(x91151,a897)),x91154),f317(f317(f55(x91151),x91153),x91152)))
% 199.17/199.23 [9118]E(x91181,x91182)+~P1(f317(f317(f319(f906(x91183,x91183)),f317(f317(f242(x91183,x91183),x91181),x91182)),f317(f317(f173(f906(x91183,x91183),a897),f2(a901)),x91184)))
% 199.17/199.23 [9187]E(f317(f274(x91871,x91871,x91872),f317(f317(f299(x91871),f495(x91872,x91873,x91874,x91871)),f179(f907(x91871,a897)))),x91874)+~P1(f317(f317(f319(f907(x91871,a897)),x91874),f317(f317(f55(x91871),x91873),x91872)))
% 199.17/199.23 [9192]~P1(f317(f317(f319(f906(x91921,x91921)),f317(f317(f242(x91921,x91921),x91923),x91922)),f297(x91921,x91924)))+P1(f317(f317(f319(f906(x91921,x91921)),f317(f317(f242(x91921,x91921),x91922),x91923)),f297(x91921,f317(f275(x91921,x91921),x91924))))
% 199.17/199.23 [9205]~P58(x92051)+E(f317(f317(f74(x92051),f317(f317(f74(x92051),f317(f317(f75(x92051),x92052),f317(f317(f30(x92051),x92053),x92052))),f40(x92051,x92053,x92052))),x92054),f317(f317(f74(x92051),x92053),x92054))
% 199.17/199.23 [9220]~P1(f317(f317(f319(x92201),x92203),x92204))+P1(f317(f317(f319(f907(x92201,a897)),f317(f274(x92201,x92201,x92202),f317(f317(f299(x92201),x92203),f179(f907(x92201,a897))))),f317(f317(f55(x92201),x92204),x92202)))
% 199.17/199.23 [9233]P1(f317(f317(f319(f906(x92331,x92331)),f317(f317(f242(x92331,x92331),x92332),x92333)),f297(x92331,x92334)))+~P1(f317(f317(f319(f906(x92331,x92331)),f317(f317(f242(x92331,x92331),x92333),x92332)),f297(x92331,f317(f275(x92331,x92331),x92334))))
% 199.17/199.23 [9324]E(f317(f317(f149(x93241,f317(f158(x93241),x93242)),f317(f317(f3(a901),f317(f317(f3(a901),f317(f180(f902(x93241)),x93242)),x93243)),f72(a901))),x93244),f317(f158(x93241),f317(f317(f149(x93241,x93242),x93243),x93244)))+~P1(f317(f317(f225(a901),x93243),f317(f180(f902(x93241)),x93242)))
% 199.17/199.23 [9327]~P1(f317(x93272,f717(x93274,x93272,x93273,x93271)))+E(f317(f317(f128(x93271),f317(f180(f902(x93271)),f167(x93271,x93272,f317(f317(f124(x93271),x93273),x93274)))),f317(f317(f124(x93271),x93273),x93274)),f317(f317(f128(x93271),f317(f180(f902(x93271)),f167(x93271,x93272,x93274))),x93274))
% 199.17/199.23 [9374]~P22(x93742,x93741,x93743,f232(f907(x93742,a897)))+P1(f317(f317(f224(f907(x93741,a897)),f317(f300(x93742,x93741,x93743),f317(f73(f907(x93742,a897)),x93744))),f317(f73(f907(x93741,a897)),f317(f300(x93742,x93741,x93743),x93744))))
% 199.17/199.23 [9386]~P3(x93861)+E(f317(f132(x93861,x93862,f317(f9(x93862,x93861,x93861),f317(f317(f10(x93861,f907(x93861,x93861),x93862),f92(x93861)),x93863)),f232(x93861)),x93864),f317(f317(f34(x93862,x93861),f317(f162(x93862),x93864)),x93863))
% 199.17/199.23 [9387]~P3(x93871)+E(f317(f132(x93871,x93872,f317(f9(x93872,x93871,x93871),f317(f317(f10(x93871,f907(x93871,x93871),x93872),f91(x93871)),x93873)),f179(x93871)),x93874),f317(f317(f35(x93872,x93871),f317(f162(x93872),x93874)),x93873))
% 199.17/199.23 [9399]E(f317(f317(f128(x93991),f317(f180(f902(x93991)),f167(x93991,x93992,f317(f317(f124(x93991),x93993),x93994)))),f317(f317(f124(x93991),x93993),x93994)),f317(f317(f128(x93991),f317(f180(f902(x93991)),f167(x93991,x93992,x93994))),x93994))+P1(f317(f317(f319(x93991),f717(x93994,x93992,x93993,x93991)),f317(f162(x93991),x93993)))
% 199.17/199.23 [9470]~P1(f317(f317(f319(f906(f902(x94704),f902(x94704))),f317(f317(f242(f902(x94704),f902(x94704)),x94703),x94702)),f147(x94704,x94701)))+P1(f317(f317(f225(a901),f650(x94701,x94702,x94703,x94704)),f317(f180(f902(x94704)),x94703)))
% 199.17/199.23 [9471]~P58(x94711)+E(f317(f317(f74(x94711),f317(f317(f74(x94711),f317(f317(f75(x94711),f317(f317(f30(x94711),x94712),x94713)),x94713)),f40(x94711,x94712,x94713))),x94714),f317(f317(f74(x94711),x94712),x94714))
% 199.17/199.23 [9504]~P1(f317(f317(f319(f906(f902(x95041),f902(x95041))),f317(f317(f242(f902(x95041),f902(x95041)),x95042),x95043)),f317(f275(f902(x95041),f902(x95041)),f147(x95041,x95044))))+P1(f317(f317(f319(f906(f902(x95041),f902(x95041))),f317(f317(f242(f902(x95041),f902(x95041)),x95042),x95043)),f147(x95041,f317(f275(x95041,x95041),x95044))))
% 199.17/199.23 [9505]P1(f317(f317(f319(f906(f902(x95051),f902(x95051))),f317(f317(f242(f902(x95051),f902(x95051)),x95052),x95053)),f317(f275(f902(x95051),f902(x95051)),f147(x95051,x95054))))+~P1(f317(f317(f319(f906(f902(x95051),f902(x95051))),f317(f317(f242(f902(x95051),f902(x95051)),x95052),x95053)),f147(x95051,f317(f275(x95051,x95051),x95054))))
% 199.17/199.23 [9542]~P1(f317(f317(f319(x95421),x95423),f317(f254(x95421,x95422),x95424)))+P1(f317(f317(f319(f906(x95421,x95422)),f317(f317(f242(x95421,x95422),x95423),f552(x95424,x95422,x95423,x95421))),x95424))
% 199.17/199.23 [9543]~P1(f317(f317(f319(x95431),x95433),f317(f254(x95431,x95432),x95434)))+P1(f317(f317(f319(f906(x95431,x95432)),f317(f317(f242(x95431,x95432),x95433),f556(x95434,x95432,x95433,x95431))),x95434))
% 199.17/199.23 [9713]~P1(f317(f317(f319(f906(x97131,x97131)),f317(f317(f242(x97131,x97131),x97132),x97134)),f317(f317(f278(x97131,x97131,x97131),x97133),f297(x97131,x97133))))+P1(f317(f317(f319(f906(x97131,x97131)),f317(f317(f242(x97131,x97131),x97132),f614(x97133,x97134,x97132,x97131))),x97133))
% 199.17/199.23 [9889]P9(x98891,x98892,x98893,x98894)+P1(f317(f317(f319(f906(x98891,x98891)),f317(f317(f242(x98891,x98891),f812(x98892,x98894,x98893,x98891)),f811(x98892,x98894,x98893,x98891))),x98893))
% 199.17/199.23 [9902]~P1(f317(f317(f319(f906(x99022,x99021)),x99024),f317(f275(x99021,x99022),x99023)))+P1(f317(f317(f319(f906(x99021,x99022)),f317(f317(f242(x99021,x99022),f625(x99023,x99024,x99021,x99022)),f624(x99023,x99024,x99021,x99022))),x99023))
% 199.17/199.23 [9930]~P1(f317(f317(f319(f906(f902(x99301),f902(x99301))),f317(f317(f242(f902(x99301),f902(x99301)),x99304),x99303)),f147(x99301,x99302)))+P1(f317(f317(f319(f906(x99301,x99301)),f317(f317(f242(x99301,x99301),f668(x99302,x99303,x99304,x99301)),f669(x99302,x99303,x99304,x99301))),x99302))
% 199.17/199.23 [10012]~P1(f317(f317(f319(f906(f902(x100121),f902(x100121))),f317(f317(f242(f902(x100121),f902(x100121)),x100122),x100124)),f147(x100121,x100123)))+P1(f317(f317(f319(f906(x100121,x100121)),f317(f317(f242(x100121,x100121),f317(f317(f154(x100121),x100122),f650(x100123,x100124,x100122,x100121))),f651(x100123,x100124,x100122,x100121))),x100123))
% 199.17/199.23 [10031]~P1(f317(f28(x100312),x100314))+E(f317(f317(f317(f59(f907(x100311,a897),x100312,f91(f907(x100311,a897))),f317(f317(f9(x100312,f907(x100311,a897),f907(x100311,a897)),f317(f317(f10(x100311,f907(f907(x100311,a897),f907(x100311,a897)),x100312),f299(x100311)),x100313)),f179(f907(x100311,a897)))),f179(f907(x100311,a897))),x100314),f317(f300(x100312,x100311,x100313),x100314))
% 199.17/199.23 [10123]~P22(x101231,x101232,x101233,f232(f907(x101231,a897)))+P1(f317(f317(f224(f907(x101231,a897)),f317(f301(x101231,x101232,x101233),f317(f317(f299(x101232),x101234),f179(f907(x101232,a897))))),f317(f317(f299(x101231),f79(x101231,f317(f317(f9(x101231,x101232,a897),f317(f317(f10(x101232,f907(x101232,a897),x101231),a314),x101233)),x101234))),f179(f907(x101231,a897)))))
% 199.17/199.23 [5701]~E(f317(f317(f124(x57011),x57012),x57014),x57013)+E(f317(f317(f165(x57011),f317(f180(f902(x57011)),x57012)),x57013),x57012)
% 199.17/199.23 [5702]~E(f317(f317(f124(x57022),x57023),x57021),x57024)+E(x57021,f317(f317(f128(x57022),f317(f180(f902(x57022)),x57023)),x57024))
% 199.17/199.23 [5713]~E(x57134,f2(a901))+E(f317(f317(f154(x57131),f317(f317(f141(x57131),x57132),x57133)),x57134),x57132)
% 199.17/199.23 [6268]~P118(x62681)+E(f317(f317(f234(x62681),f317(f317(f234(x62681),x62682),x62683)),x62684),f317(f317(f234(x62681),x62682),f317(f317(f75(a901),x62683),x62684)))
% 199.17/199.23 [6269]~P84(x62691)+E(f317(f317(f234(x62691),f317(f317(f234(x62691),x62692),x62693)),x62694),f317(f317(f234(x62691),x62692),f317(f317(f75(a901),x62693),x62694)))
% 199.17/199.23 [6273]E(x62731,f2(a901))+E(f317(f317(f154(x62732),f317(f317(f141(x62732),x62733),x62734)),x62731),f317(f317(f154(x62732),x62734),f317(f317(f3(a901),x62731),f72(a901))))
% 199.17/199.23 [6301]~P122(x63011)+E(f317(f317(f280(x63011),f317(f317(f75(x63011),x63012),x63013)),x63014),f317(f317(f75(x63011),x63012),f317(f317(f280(x63011),x63013),x63014)))
% 199.17/199.23 [6303]~P67(x63031)+E(f317(f317(f91(x63031),f317(f317(f91(x63031),x63032),x63033)),x63034),f317(f317(f91(x63031),x63032),f317(f317(f91(x63031),x63033),x63034)))
% 199.17/199.23 [6304]~P68(x63041)+E(f317(f317(f91(x63041),f317(f317(f91(x63041),x63042),x63043)),x63044),f317(f317(f91(x63041),x63042),f317(f317(f91(x63041),x63043),x63044)))
% 199.17/199.23 [6306]~P108(x63061)+E(f317(f317(f228(x63061),f317(f317(f228(x63061),x63062),x63063)),x63064),f317(f317(f228(x63061),x63062),f317(f317(f228(x63061),x63063),x63064)))
% 199.17/199.23 [6308]~P108(x63081)+E(f317(f317(f178(x63081),f317(f317(f178(x63081),x63082),x63083)),x63084),f317(f317(f178(x63081),x63082),f317(f317(f178(x63081),x63083),x63084)))
% 199.17/199.23 [6309]~P68(x63091)+E(f317(f317(f92(x63091),f317(f317(f92(x63091),x63092),x63093)),x63094),f317(f317(f92(x63091),x63092),f317(f317(f92(x63091),x63093),x63094)))
% 199.17/199.23 [6311]~P103(x63111)+E(f317(f317(f92(x63111),f317(f317(f92(x63111),x63112),x63113)),x63114),f317(f317(f92(x63111),x63112),f317(f317(f92(x63111),x63113),x63114)))
% 199.17/199.23 [6312]~P75(x63121)+E(f317(f317(f74(x63121),f317(f317(f74(x63121),x63122),x63123)),x63124),f317(f317(f74(x63121),x63122),f317(f317(f74(x63121),x63123),x63124)))
% 199.17/199.23 [6313]~P118(x63131)+E(f317(f317(f74(x63131),f317(f317(f74(x63131),x63132),x63133)),x63134),f317(f317(f74(x63131),x63132),f317(f317(f74(x63131),x63133),x63134)))
% 199.17/199.23 [6314]~P76(x63141)+E(f317(f317(f75(x63141),f317(f317(f75(x63141),x63142),x63143)),x63144),f317(f317(f75(x63141),x63142),f317(f317(f75(x63141),x63143),x63144)))
% 199.17/199.23 [6315]~P118(x63151)+E(f317(f317(f75(x63151),f317(f317(f75(x63151),x63152),x63153)),x63154),f317(f317(f75(x63151),x63152),f317(f317(f75(x63151),x63153),x63154)))
% 199.17/199.23 [6325]~P58(x63251)+E(f40(x63251,f317(f317(f74(x63251),x63252),f317(f317(f75(x63251),x63253),x63254)),x63254),f40(x63251,x63252,x63254))
% 199.17/199.23 [6326]~P58(x63261)+E(f40(x63261,f317(f317(f74(x63261),x63262),f317(f317(f75(x63261),x63263),x63264)),x63263),f40(x63261,x63262,x63263))
% 199.17/199.23 [6465]E(f317(f317(f154(x64651),f317(f317(f165(x64651),x64652),x64653)),x64654),f317(f317(f154(x64651),x64653),x64654))+~P1(f317(f317(f225(a901),x64654),x64652))
% 199.17/199.23 [6643]~E(x66432,x66434)+P1(f317(f317(f162(x66431),f317(f317(f141(x66431),x66432),x66433)),x66434))
% 199.17/199.23 [6645]~P118(x66451)+E(f317(f317(f74(x66451),f317(f317(f74(x66451),x66452),x66453)),x66454),f317(f317(f74(x66451),f317(f317(f74(x66451),x66452),x66454)),x66453))
% 199.17/199.23 [6646]~P118(x66461)+E(f317(f317(f75(x66461),f317(f317(f75(x66461),x66462),x66463)),x66464),f317(f317(f75(x66461),f317(f317(f75(x66461),x66462),x66464)),x66463))
% 199.17/199.23 [6707]~P146(x67072)+E(f317(f317(f8(x67071,x67072),f317(f18(x67072,x67071),x67073)),x67074),f317(f317(f75(x67072),f317(f90(x67072),f317(f29(x67071),x67074))),x67073))
% 199.17/199.23 [6878]E(f317(f317(f92(f907(x68781,a897)),f317(f317(f299(x68781),x68782),x68783)),x68784),f317(f317(f92(f907(x68781,a897)),x68783),x68784))+P1(f317(f317(f319(x68781),x68782),x68784))
% 199.17/199.23 [6944]~P101(x69441)+E(f317(f317(f92(x69441),f317(f317(f91(x69441),x69442),x69443)),f317(f317(f91(x69441),x69444),x69443)),f317(f317(f91(x69441),f317(f317(f92(x69441),x69442),x69444)),x69443))
% 199.17/199.23 [6945]~P82(x69451)+E(f317(f317(f228(x69451),f317(f317(f3(x69451),x69452),x69453)),f317(f317(f3(x69451),x69454),x69453)),f317(f317(f3(x69451),f317(f317(f228(x69451),x69452),x69454)),x69453))
% 199.17/199.23 [6946]~P82(x69461)+E(f317(f317(f178(x69461),f317(f317(f3(x69461),x69462),x69463)),f317(f317(f3(x69461),x69464),x69463)),f317(f317(f3(x69461),f317(f317(f178(x69461),x69462),x69464)),x69463))
% 199.17/199.23 [6947]~P108(x69471)+E(f317(f317(f178(x69471),f317(f317(f228(x69471),x69472),x69473)),f317(f317(f228(x69471),x69474),x69473)),f317(f317(f228(x69471),f317(f317(f178(x69471),x69472),x69474)),x69473))
% 199.17/199.23 [6948]~P108(x69481)+E(f317(f317(f228(x69481),f317(f317(f178(x69481),x69482),x69483)),f317(f317(f178(x69481),x69484),x69483)),f317(f317(f178(x69481),f317(f317(f228(x69481),x69482),x69484)),x69483))
% 199.17/199.23 [6949]~P101(x69491)+E(f317(f317(f91(x69491),f317(f317(f92(x69491),x69492),x69493)),f317(f317(f92(x69491),x69494),x69493)),f317(f317(f92(x69491),f317(f317(f91(x69491),x69492),x69494)),x69493))
% 199.17/199.23 [6950]~P86(x69501)+E(f317(f317(f228(x69501),f317(f317(f74(x69501),x69502),x69503)),f317(f317(f74(x69501),x69504),x69503)),f317(f317(f74(x69501),f317(f317(f228(x69501),x69502),x69504)),x69503))
% 199.17/199.23 [6951]~P86(x69511)+E(f317(f317(f178(x69511),f317(f317(f74(x69511),x69512),x69513)),f317(f317(f74(x69511),x69514),x69513)),f317(f317(f74(x69511),f317(f317(f178(x69511),x69512),x69514)),x69513))
% 199.17/199.23 [6952]~P112(x69521)+E(f317(f317(f74(x69521),f317(f317(f75(x69521),x69522),x69523)),f317(f317(f75(x69521),x69524),x69523)),f317(f317(f75(x69521),f317(f317(f74(x69521),x69522),x69524)),x69523))
% 199.17/199.23 [6954]~P118(x69541)+E(f317(f317(f75(x69541),f317(f317(f234(x69541),x69542),x69543)),f317(f317(f234(x69541),x69544),x69543)),f317(f317(f234(x69541),f317(f317(f75(x69541),x69542),x69544)),x69543))
% 199.17/199.23 [6955]~P79(x69551)+E(f317(f317(f75(x69551),f317(f317(f234(x69551),x69552),x69553)),f317(f317(f234(x69551),x69554),x69553)),f317(f317(f234(x69551),f317(f317(f75(x69551),x69552),x69554)),x69553))
% 199.17/199.23 [6956]~P61(x69561)+E(f317(f317(f280(x69561),f317(f317(f234(x69561),x69562),x69563)),f317(f317(f234(x69561),x69564),x69563)),f317(f317(f234(x69561),f317(f317(f280(x69561),x69562),x69564)),x69563))
% 199.17/199.23 [6957]~P122(x69571)+E(f317(f317(f3(x69571),f317(f317(f280(x69571),x69572),x69573)),f317(f317(f280(x69571),x69574),x69573)),f317(f317(f280(x69571),f317(f317(f3(x69571),x69572),x69574)),x69573))
% 199.17/199.23 [6958]~P122(x69581)+E(f317(f317(f74(x69581),f317(f317(f280(x69581),x69582),x69583)),f317(f317(f280(x69581),x69584),x69583)),f317(f317(f280(x69581),f317(f317(f74(x69581),x69582),x69584)),x69583))
% 199.17/199.23 [6959]~P118(x69591)+E(f317(f317(f74(x69591),f317(f317(f75(x69591),x69592),x69593)),f317(f317(f75(x69591),x69594),x69593)),f317(f317(f75(x69591),f317(f317(f74(x69591),x69592),x69594)),x69593))
% 199.17/199.23 [6993]E(f317(f317(f149(x69931,x69932),x69933),x69934),x69932)+~P1(f317(f317(f224(a901),f317(f180(f902(x69931)),x69932)),x69933))
% 199.17/199.23 [7020]~P1(f317(x70203,x70204))+P1(f317(f317(f317(f91(f907(x70201,a897)),x70202),x70203),x70204))
% 199.17/199.23 [7022]~P1(f317(x70222,x70224))+P1(f317(f317(f317(f91(f907(x70221,a897)),x70222),x70223),x70224))
% 199.17/199.23 [7042]E(f317(f317(f154(x70421),f317(f317(f124(x70421),x70422),x70423)),x70424),f317(f317(f154(x70421),x70422),x70424))+~P1(f317(f317(f225(a901),x70424),f317(f180(f902(x70421)),x70422)))
% 199.17/199.23 [7053]E(f317(f317(f3(f907(x70531,a897)),f317(f317(f299(x70531),x70532),x70533)),x70534),f317(f317(f3(f907(x70531,a897)),x70533),x70534))+~P1(f317(f317(f319(x70531),x70532),x70534))
% 199.17/199.23 [7095]~E(f129(a901,f317(f293(a901,x70951),x70952)),f317(f317(f141(a901),x70954),x70953))+E(f129(a901,f317(f293(a901,f317(f317(f74(a901),x70951),f72(a901))),x70952)),x70953)
% 199.17/199.23 [7117]~P1(f317(f317(f162(x71171),x71173),x71174))+P1(f317(f317(f162(x71171),f317(f317(f141(x71171),x71172),x71173)),x71174))
% 199.17/199.23 [7167]E(x71671,f2(a901))+E(f317(f317(f141(x71672),x71673),f317(f317(f165(x71672),f317(f317(f3(a901),x71671),f72(a901))),x71674)),f317(f317(f165(x71672),x71671),f317(f317(f141(x71672),x71673),x71674)))
% 199.17/199.23 [7268]E(f317(f317(f154(x72681),x72682),f317(f317(f3(a901),x72683),f317(f180(f902(x72681)),x72684))),f317(f317(f154(x72681),f317(f317(f124(x72681),x72684),x72682)),x72683))+P1(f317(f317(f225(a901),x72683),f317(f180(f902(x72681)),x72684)))
% 199.17/199.23 [7296]E(f317(f317(f92(f907(x72961,a897)),x72962),f317(f317(f299(x72961),x72963),x72964)),f317(f317(f299(x72961),x72963),f317(f317(f92(f907(x72961,a897)),x72962),x72964)))+~P1(f317(f317(f319(x72961),x72963),x72962))
% 199.17/199.23 [7334]E(f317(f317(f154(x73341),f317(f317(f149(x73341,x73342),x73343),x73344)),x73343),x73344)+~P1(f317(f317(f225(a901),x73343),f317(f180(f902(x73341)),x73342)))
% 199.17/199.23 [7356]E(x73561,f179(f907(x73562,a897)))+E(f317(f300(f906(x73563,x73562),x73563,f241(x73563,x73562)),f317(f317(f244(x73563,x73562),x73564),f317(f18(f907(x73562,a897),x73563),x73561))),x73564)
% 199.17/199.23 [7357]E(x73571,f179(f907(x73572,a897)))+E(f317(f300(f906(x73572,x73573),x73573,f246(x73572,x73573)),f317(f317(f244(x73572,x73573),x73571),f317(f18(f907(x73573,a897),x73572),x73574))),x73574)
% 199.17/199.23 [7429]E(f317(f317(f3(f907(x74291,a897)),f317(f317(f299(x74291),x74292),x74293)),x74294),f317(f317(f299(x74291),x74292),f317(f317(f3(f907(x74291,a897)),x74293),x74294)))+P1(f317(f317(f319(x74291),x74292),x74294))
% 199.17/199.23 [7459]~E(x74594,f179(f907(x74592,a897)))+E(f317(f300(f906(x74591,x74592),x74591,f241(x74591,x74592)),f317(f317(f244(x74591,x74592),x74593),f317(f18(f907(x74592,a897),x74591),x74594))),f179(f907(x74591,a897)))
% 199.17/199.23 [7460]~E(x74603,f179(f907(x74601,a897)))+E(f317(f300(f906(x74601,x74602),x74602,f246(x74601,x74602)),f317(f317(f244(x74601,x74602),x74603),f317(f18(f907(x74602,a897),x74601),x74604))),f179(f907(x74602,a897)))
% 199.17/199.23 [7511]~P1(f317(f317(f319(x75111),x75112),x75114))+P1(f317(f317(f319(x75111),x75112),f317(f317(f91(f907(x75111,a897)),x75113),x75114)))
% 199.17/199.23 [7514]~P1(f317(f317(f319(x75141),x75142),x75143))+P1(f317(f317(f319(x75141),x75142),f317(f317(f91(f907(x75141,a897)),x75143),x75144)))
% 199.17/199.23 [7532]E(f317(f317(f92(f907(x75321,a897)),f317(f317(f299(x75321),x75322),x75323)),x75324),f317(f317(f299(x75321),x75322),f317(f317(f92(f907(x75321,a897)),x75323),x75324)))+~P1(f317(f317(f319(x75321),x75322),x75324))
% 199.17/199.23 [7805]P1(f317(x78051,x78052))+~P1(f317(f317(f317(f92(f907(x78053,a897)),x78054),x78051),x78052))
% 199.17/199.23 [7806]P1(f317(x78061,x78062))+~P1(f317(f317(f317(f92(f907(x78063,a897)),x78061),x78064),x78062))
% 199.17/199.23 [7807]E(f317(f317(f8(x78071,a901),x78072),f317(f317(f3(f907(x78071,a897)),x78073),f317(f317(f299(x78071),x78074),f179(f907(x78071,a897))))),f317(f317(f8(x78071,a901),x78072),x78073))+P1(f317(f317(f319(x78071),x78074),x78073))
% 199.17/199.23 [7812]~P72(x78121)+E(f317(f155(x78121),f317(f317(f144(a901,x78121),x78122),f129(a901,f317(f293(a901,x78123),x78124)))),f317(f317(f8(a901,x78121),x78122),f317(f162(a901),f129(a901,f317(f293(a901,x78123),x78124)))))
% 199.17/199.23 [7813]~P72(x78131)+E(f317(f317(f8(a901,x78131),x78132),f317(f162(a901),f129(a901,f317(f293(a901,x78133),x78134)))),f317(f155(x78131),f317(f317(f144(a901,x78131),x78132),f129(a901,f317(f293(a901,x78133),x78134)))))
% 199.17/199.23 [7931]~E(x79313,x79314)+P1(f317(f56(x79311,x79312,f317(f317(f299(x79311),x79313),f179(f907(x79311,a897)))),x79314))
% 199.17/199.23 [8025]P1(f317(f317(f319(x80251),x80252),f317(f162(x80251),x80253)))+~P1(f317(f317(f319(x80251),x80252),f317(f162(x80251),f317(f317(f165(x80251),x80254),x80253))))
% 199.17/199.23 [8026]P1(f317(f317(f319(x80261),x80262),f317(f162(x80261),x80263)))+~P1(f317(f317(f319(x80261),x80262),f317(f162(x80261),f317(f317(f128(x80261),x80264),x80263))))
% 199.17/199.23 [8090]P1(f317(f317(f319(x80901),x80902),x80903))+~P1(f317(f317(f319(x80901),x80902),f317(f317(f3(f907(x80901,a897)),x80903),x80904)))
% 199.17/199.23 [8092]P1(f317(f317(f319(x80921),x80922),x80923))+~P1(f317(f317(f319(x80921),x80922),f317(f317(f92(f907(x80921,a897)),x80924),x80923)))
% 199.17/199.23 [8095]P1(f317(f317(f319(x80951),x80952),x80953))+~P1(f317(f317(f319(x80951),x80952),f317(f317(f92(f907(x80951,a897)),x80953),x80954)))
% 199.17/199.23 [8110]E(f317(f317(f124(x81101),f317(f317(f165(x81101),x81102),x81103)),f317(f317(f141(x81101),x81104),f317(f317(f128(x81101),f317(a102,x81102)),x81103))),f317(f317(f149(x81101,x81103),x81102),x81104))+~P1(f317(f317(f225(a901),x81102),f317(f180(f902(x81101)),x81103)))
% 199.17/199.23 [8133]P1(f317(f317(f319(x81331),x81332),x81333))+~P1(f317(f317(f224(f907(x81331,a897)),f317(f317(f299(x81331),x81332),x81334)),x81333))
% 199.17/199.23 [8175]~P1(f317(f317(f319(x81751),x81752),x81753))+~P1(f317(f317(f319(x81751),x81752),f317(f317(f3(f907(x81751,a897)),x81754),x81753)))
% 199.17/199.23 [8207]~P1(f317(f317(f225(a901),x82074),f317(f180(f902(x82071)),x82073)))+P1(f317(f317(f319(x82071),x82072),f317(f162(x82071),f317(f317(f149(x82071,x82073),x82074),x82072))))
% 199.17/199.23 [8261]E(f317(f317(f154(x82611),f317(f317(f128(x82611),x82612),x82613)),x82614),f317(f317(f154(x82611),x82613),f317(f317(f74(a901),x82612),x82614)))+~P1(f317(f317(f224(a901),f317(f317(f74(a901),x82612),x82614)),f317(f180(f902(x82611)),x82613)))
% 199.17/199.23 [8270]~P146(x82702)+E(f317(f317(f8(x82701,x82702),f317(f317(f10(a901,x82702,x82701),f90(x82702)),x82703)),x82704),f317(f90(x82702),f317(f317(f8(x82701,a901),x82703),x82704)))
% 199.17/199.23 [8271]~P141(x82712)+E(f317(f317(f8(x82711,x82712),f317(f317(f10(a1,x82712,x82711),f93(x82712)),x82713)),x82714),f317(f93(x82712),f317(f317(f8(x82711,a1),x82713),x82714)))
% 199.17/199.23 [8320]~P64(x83202)+E(f317(f317(f11(x83201,x83202),f317(f317(f10(x83202,x83202,x83201),f70(x83202)),x83203)),x83204),f317(f70(x83202),f317(f317(f11(x83201,x83202),x83203),x83204)))
% 199.17/199.23 [8321]~P71(x83212)+E(f317(f317(f8(x83211,x83212),f317(f317(f10(x83212,x83212,x83211),f73(x83212)),x83213)),x83214),f317(f73(x83212),f317(f317(f8(x83211,x83212),x83213),x83214)))
% 199.17/199.23 [8324]E(f317(f317(f8(x83241,a901),x83242),f317(f317(f3(f907(x83241,a897)),x83243),f317(f317(f299(x83241),x83244),f179(f907(x83241,a897))))),f317(f317(f3(a901),f317(f317(f8(x83241,a901),x83242),x83243)),f317(x83242,x83244)))+~P1(f317(f317(f319(x83241),x83244),x83243))
% 199.17/199.23 [8342]P1(f317(f317(f224(f907(x83421,a897)),x83422),x83423))+~P1(f317(f317(f224(f907(x83421,a897)),f317(f317(f299(x83421),x83424),x83422)),x83423))
% 199.17/199.23 [8463]~E(f317(f300(x84632,x84633,x84631),f232(f907(x84632,a897))),f232(f907(x84633,a897)))+E(f317(x84631,f317(f85(x84632,x84633,f232(f907(x84632,a897)),x84631),x84634)),x84634)
% 199.17/199.23 [8545]P34(x85451,x85452)+~P34(x85451,f317(f317(f299(f906(x85451,x85451)),f317(f317(f242(x85451,x85451),x85453),x85454)),x85452))
% 199.17/199.23 [8546]P55(x85461,x85462)+~P55(x85461,f317(f317(f299(f906(x85461,x85461)),f317(f317(f242(x85461,x85461),x85463),x85464)),x85462))
% 199.17/199.23 [8551]~P108(x85511)+E(f317(f317(f138(x85511,x85511,f7(x85511)),x85512),f317(f317(f138(x85511,x85511,f7(x85511)),x85513),x85514)),f317(f317(f138(x85511,x85511,f7(x85511)),x85513),f317(f317(f138(x85511,x85511,f7(x85511)),x85512),x85514)))
% 199.17/199.23 [8566]E(x85661,x85662)+~P1(f317(f56(x85663,x85664,f317(f317(f299(x85663),x85661),f179(f907(x85663,a897)))),x85662))
% 199.17/199.23 [8575]E(f317(f317(f124(x85751),f317(f317(f165(x85751),x85752),x85753)),f317(f317(f165(x85751),x85754),f317(f317(f128(x85751),x85752),x85753))),f317(f317(f165(x85751),f317(f317(f74(a901),x85752),x85754)),x85753))+~P1(f317(f317(f224(a901),f317(f317(f74(a901),x85752),x85754)),f317(f180(f902(x85751)),x85753)))
% 199.17/199.23 [8612]P1(f317(f28(x86121),x86122))+~E(x86122,f317(f300(a901,x86121,x86123),f317(f252(a901),f317(f317(f9(a901,a901,a897),f225(a901)),x86124))))
% 199.17/199.23 [8636]~P94(x86361)+E(f317(f132(x86361,x86361,f74(x86361),f317(f317(f74(x86361),x86362),x86363)),x86364),f317(f317(f74(x86361),x86362),f317(f132(x86361,x86361,f74(x86361),x86363),x86364)))
% 199.17/199.23 [8671]P1(f317(f317(f224(f907(x86711,a897)),f317(f254(x86711,x86712),x86713)),f317(f254(x86711,x86712),x86714)))+~P1(f317(f317(f224(f907(f906(x86711,x86712),a897)),x86713),x86714))
% 199.17/199.23 [8683]~P1(f317(f317(f224(a901),x86832),x86834))+P1(f317(f317(f224(f907(x86831,a897)),f317(f162(x86831),f317(f317(f165(x86831),x86832),x86833))),f317(f162(x86831),f317(f317(f165(x86831),x86834),x86833))))
% 199.17/199.23 [8684]~P1(f317(f317(f224(a901),x86844),x86842))+P1(f317(f317(f224(f907(x86841,a897)),f317(f162(x86841),f317(f317(f128(x86841),x86842),x86843))),f317(f162(x86841),f317(f317(f128(x86841),x86844),x86843))))
% 199.17/199.23 [8741]~P1(f317(f28(x87411),f317(f317(f3(f907(x87411,a897)),x87412),x87414)))+P1(f317(f28(x87411),f317(f317(f3(f907(x87411,a897)),x87412),f317(f317(f299(x87411),x87413),x87414))))
% 199.17/199.23 [8778]P1(f317(f317(f319(f906(x87781,x87781)),x87782),f297(x87781,x87783)))+~P1(f317(f317(f319(f906(x87781,x87781)),x87782),f317(f317(f173(f906(x87781,x87781),a897),x87784),x87783)))
% 199.17/199.23 [8856]~P1(f317(f28(x88561),f317(f317(f3(f907(x88561,a897)),x88562),f317(f317(f299(x88561),x88564),x88563))))+P1(f317(f28(x88561),f317(f317(f3(f907(x88561,a897)),x88562),x88563)))
% 199.17/199.23 [9076]~P68(x90761)+P1(f317(f317(f224(x90761),f317(f317(f91(x90761),x90762),f317(f317(f92(x90761),x90763),x90764))),f317(f317(f92(x90761),f317(f317(f91(x90761),x90762),x90763)),f317(f317(f91(x90761),x90762),x90764))))
% 199.17/199.23 [9077]~P108(x90771)+P1(f317(f317(f224(x90771),f317(f317(f178(x90771),x90772),f317(f317(f228(x90771),x90773),x90774))),f317(f317(f228(x90771),f317(f317(f178(x90771),x90772),x90773)),f317(f317(f178(x90771),x90772),x90774))))
% 199.17/199.23 [9212]E(x92121,x92122)+~P1(f317(f317(f319(f906(x92123,x92123)),f317(f317(f242(x92123,x92123),x92121),x92122)),f317(f162(f906(x92123,x92123)),f317(f317(f171(x92123,x92123),x92124),x92124))))
% 199.17/199.23 [9244]~P1(f317(f317(f319(f906(x92441,x92441)),f317(f317(f242(x92441,x92441),x92443),x92442)),f297(x92441,x92444)))+~P34(x92441,f317(f317(f299(f906(x92441,x92441)),f317(f317(f242(x92441,x92441),x92442),x92443)),x92444))
% 199.17/199.23 [9245]~P1(f317(f317(f319(f906(x92451,x92451)),f317(f317(f242(x92451,x92451),x92453),x92452)),f297(x92451,x92454)))+~P55(x92451,f317(f317(f299(f906(x92451,x92451)),f317(f317(f242(x92451,x92451),x92452),x92453)),x92454))
% 199.17/199.23 [9255]E(x92551,x92552)+E(f317(f126(x92553,f317(f317(f10(a897,a897,x92553),a312),f317(a314,x92551))),f317(f317(f141(x92553),x92552),x92554)),f317(f317(f141(x92553),x92552),f317(f126(x92553,f317(f317(f10(a897,a897,x92553),a312),f317(a314,x92551))),x92554)))
% 199.17/199.23 [9288]~P23(x92882,x92881,x92883,f232(f907(x92882,a897)),f232(f907(x92881,a897)))+E(f317(f300(x92881,x92882,f85(x92882,x92881,f232(f907(x92882,a897)),x92883)),x92884),f317(f301(x92882,x92881,x92883),x92884))
% 199.17/199.23 [9304]~P68(x93041)+P1(f317(f317(f224(x93041),f317(f317(f91(x93041),f317(f317(f92(x93041),x93042),x93043)),f317(f317(f92(x93041),x93042),x93044))),f317(f317(f92(x93041),x93042),f317(f317(f91(x93041),x93043),x93044))))
% 199.17/199.23 [9305]~P108(x93051)+P1(f317(f317(f224(x93051),f317(f317(f178(x93051),f317(f317(f228(x93051),x93052),x93053)),f317(f317(f228(x93051),x93052),x93054))),f317(f317(f228(x93051),x93052),f317(f317(f178(x93051),x93053),x93054))))
% 199.17/199.23 [9368]~P23(x93682,x93681,x93684,f232(f907(x93682,a897)),f232(f907(x93681,a897)))+E(f317(f252(x93681),f317(f317(f10(x93682,a897,x93681),x93683),f85(x93682,x93681,f232(f907(x93682,a897)),x93684))),f317(f300(x93682,x93681,x93684),f317(f252(x93682),x93683)))
% 199.17/199.23 [9382]~E(f317(f300(x93822,x93821,x93823),f232(f907(x93822,a897))),f232(f907(x93821,a897)))+P1(f317(f317(f224(f907(x93821,a897)),f317(f73(f907(x93821,a897)),f317(f300(x93822,x93821,x93823),x93824))),f317(f300(x93822,x93821,x93823),f317(f73(f907(x93822,a897)),x93824))))
% 199.17/199.23 [9732]P1(f317(f317(f319(f906(x97321,x97321)),f317(f317(f242(x97321,x97321),x97322),x97323)),f317(f275(x97321,x97321),f317(f317(f278(x97321,x97321,x97321),x97324),f297(x97321,x97324)))))+~P1(f317(f317(f319(f906(x97321,x97321)),f317(f317(f242(x97321,x97321),x97322),x97323)),f317(f317(f278(x97321,x97321,x97321),f317(f275(x97321,x97321),x97324)),f297(x97321,f317(f275(x97321,x97321),x97324)))))
% 199.17/199.23 [9734]~P1(f317(f317(f319(f906(x97341,x97341)),f317(f317(f242(x97341,x97341),x97342),x97343)),f317(f275(x97341,x97341),f317(f317(f278(x97341,x97341,x97341),x97344),f297(x97341,x97344)))))+P1(f317(f317(f319(f906(x97341,x97341)),f317(f317(f242(x97341,x97341),x97342),x97343)),f317(f317(f278(x97341,x97341,x97341),f317(f275(x97341,x97341),x97344)),f297(x97341,f317(f275(x97341,x97341),x97344)))))
% 199.17/199.23 [9755]~P1(f317(f317(f319(x97552),x97554),f317(f273(x97551,x97552),x97553)))+P1(f317(f317(f319(f906(x97551,x97552)),f317(f317(f242(x97551,x97552),f541(x97553,x97551,x97554,x97552)),x97554)),x97553))
% 199.17/199.23 [9756]~P1(f317(f317(f319(x97562),x97564),f317(f273(x97561,x97562),x97563)))+P1(f317(f317(f319(f906(x97561,x97562)),f317(f317(f242(x97561,x97562),f546(x97563,x97561,x97564,x97562)),x97564)),x97563))
% 199.17/199.23 [9789]~P1(f317(f317(f319(x97891),x97894),f317(f317(f91(f907(x97891,a897)),x97892),x97893)))+P1(f317(f317(f317(f91(f907(x97891,a897)),f317(f317(f9(x97891,f907(x97891,a897),a897),f319(x97891)),x97892)),f317(f317(f9(x97891,f907(x97891,a897),a897),f319(x97891)),x97893)),x97894))
% 199.17/199.23 [9790]~P1(f317(f317(f319(x97901),x97904),f317(f317(f92(f907(x97901,a897)),x97902),x97903)))+P1(f317(f317(f317(f92(f907(x97901,a897)),f317(f317(f9(x97901,f907(x97901,a897),a897),f319(x97901)),x97902)),f317(f317(f9(x97901,f907(x97901,a897),a897),f319(x97901)),x97903)),x97904))
% 199.17/199.23 [9869]~P1(f317(f317(f319(f906(x98691,x98691)),f317(f317(f242(x98691,x98691),x98694),x98693)),f317(f317(f278(x98691,x98691,x98691),x98692),f297(x98691,x98692))))+P1(f317(f317(f319(f906(x98691,x98691)),f317(f317(f242(x98691,x98691),f615(x98692,x98693,x98694,x98691)),x98693)),x98692))
% 199.17/199.23 [9914]P1(f317(f317(f319(x99141),x99142),f317(f317(f91(f907(x99141,a897)),x99143),x99144)))+~P1(f317(f317(f317(f91(f907(x99141,a897)),f317(f317(f9(x99141,f907(x99141,a897),a897),f319(x99141)),x99143)),f317(f317(f9(x99141,f907(x99141,a897),a897),f319(x99141)),x99144)),x99142))
% 199.17/199.23 [9915]P1(f317(f317(f319(x99151),x99152),f317(f317(f92(f907(x99151,a897)),x99153),x99154)))+~P1(f317(f317(f317(f92(f907(x99151,a897)),f317(f317(f9(x99151,f907(x99151,a897),a897),f319(x99151)),x99153)),f317(f317(f9(x99151,f907(x99151,a897),a897),f319(x99151)),x99154)),x99152))
% 199.17/199.23 [10173]P29(x101731,f317(f317(f9(x101731,f907(f906(x101731,x101731),a897),f907(x101731,a897)),f317(f317(f10(f907(x101731,f907(f907(f906(x101731,x101731),a897),a897)),f907(f907(f906(x101731,x101731),a897),f907(x101731,a897)),x101731),f9(x101731,f907(f906(x101731,x101731),a897),a897)),f317(f317(f10(f907(x101731,f906(x101731,x101731)),f907(x101731,f907(f907(f906(x101731,x101731),a897),a897)),x101731),f317(f10(f906(x101731,x101731),f907(f907(f906(x101731,x101731),a897),a897),x101731),f319(f906(x101731,x101731)))),f242(x101731,x101731)))),x101732),x101733,x101734)+~P1(f317(f317(f319(f906(f902(x101731),f902(x101731))),f317(f317(f242(f902(x101731),f902(x101731)),x101733),x101734)),f148(x101731,x101732)))
% 199.17/199.23 [10177]P56(x101771,f317(f317(f9(x101771,f907(f906(x101771,x101771),a897),f907(x101771,a897)),f317(f317(f10(f907(x101771,f907(f907(f906(x101771,x101771),a897),a897)),f907(f907(f906(x101771,x101771),a897),f907(x101771,a897)),x101771),f9(x101771,f907(f906(x101771,x101771),a897),a897)),f317(f317(f10(f907(x101771,f906(x101771,x101771)),f907(x101771,f907(f907(f906(x101771,x101771),a897),a897)),x101771),f317(f10(f906(x101771,x101771),f907(f907(f906(x101771,x101771),a897),a897),x101771),f319(f906(x101771,x101771)))),f242(x101771,x101771)))),x101772),x101773,x101774)+~P1(f317(f317(f319(f906(f907(x101771,a897),f907(x101771,a897))),f317(f317(f242(f907(x101771,a897),f907(x101771,a897)),x101773),x101774)),f308(x101771,x101772)))
% 199.17/199.23 [10208]E(x102081,x102082)+~E(f317(f317(f9(x102083,f907(f906(x102083,x102084),a897),f907(x102084,a897)),f317(f317(f10(f907(x102084,f907(f907(f906(x102083,x102084),a897),a897)),f907(f907(f906(x102083,x102084),a897),f907(x102084,a897)),x102083),f9(x102084,f907(f906(x102083,x102084),a897),a897)),f317(f317(f10(f907(x102084,f906(x102083,x102084)),f907(x102084,f907(f907(f906(x102083,x102084),a897),a897)),x102083),f317(f10(f906(x102083,x102084),f907(f907(f906(x102083,x102084),a897),a897),x102084),f319(f906(x102083,x102084)))),f242(x102083,x102084)))),x102081),f317(f317(f9(x102083,f907(f906(x102083,x102084),a897),f907(x102084,a897)),f317(f317(f10(f907(x102084,f907(f907(f906(x102083,x102084),a897),a897)),f907(f907(f906(x102083,x102084),a897),f907(x102084,a897)),x102083),f9(x102084,f907(f906(x102083,x102084),a897),a897)),f317(f317(f10(f907(x102084,f906(x102083,x102084)),f907(x102084,f907(f907(f906(x102083,x102084),a897),a897)),x102083),f317(f10(f906(x102083,x102084),f907(f907(f906(x102083,x102084),a897),a897),x102084),f319(f906(x102083,x102084)))),f242(x102083,x102084)))),x102082))
% 199.17/199.23 [10211]~P29(x102111,f317(f317(f9(x102111,f907(f906(x102111,x102111),a897),f907(x102111,a897)),f317(f317(f10(f907(x102111,f907(f907(f906(x102111,x102111),a897),a897)),f907(f907(f906(x102111,x102111),a897),f907(x102111,a897)),x102111),f9(x102111,f907(f906(x102111,x102111),a897),a897)),f317(f317(f10(f907(x102111,f906(x102111,x102111)),f907(x102111,f907(f907(f906(x102111,x102111),a897),a897)),x102111),f317(f10(f906(x102111,x102111),f907(f907(f906(x102111,x102111),a897),a897),x102111),f319(f906(x102111,x102111)))),f242(x102111,x102111)))),x102114),x102112,x102113)+P1(f317(f317(f319(f906(f902(x102111),f902(x102111))),f317(f317(f242(f902(x102111),f902(x102111)),x102112),x102113)),f148(x102111,x102114)))
% 199.17/199.23 [10212]~P56(x102121,f317(f317(f9(x102121,f907(f906(x102121,x102121),a897),f907(x102121,a897)),f317(f317(f10(f907(x102121,f907(f907(f906(x102121,x102121),a897),a897)),f907(f907(f906(x102121,x102121),a897),f907(x102121,a897)),x102121),f9(x102121,f907(f906(x102121,x102121),a897),a897)),f317(f317(f10(f907(x102121,f906(x102121,x102121)),f907(x102121,f907(f907(f906(x102121,x102121),a897),a897)),x102121),f317(f10(f906(x102121,x102121),f907(f907(f906(x102121,x102121),a897),a897),x102121),f319(f906(x102121,x102121)))),f242(x102121,x102121)))),x102124),x102122,x102123)+P1(f317(f317(f319(f906(f907(x102121,a897),f907(x102121,a897))),f317(f317(f242(f907(x102121,a897),f907(x102121,a897)),x102122),x102123)),f308(x102121,x102124)))
% 199.17/199.23 [7581]~P97(x75811)+E(f317(f317(f74(x75811),f317(f94(x75811),x75812)),f317(f317(f3(x75811),f317(f94(x75811),x75813)),x75814)),f317(f317(f3(x75811),f317(f94(x75811),f317(f317(f74(a1),x75812),x75813))),x75814))
% 199.17/199.23 [7582]~P97(x75821)+E(f317(f317(f74(x75821),f317(f94(x75821),x75822)),f317(f317(f74(x75821),f317(f94(x75821),x75823)),x75824)),f317(f317(f74(x75821),f317(f94(x75821),f317(f317(f74(a1),x75822),x75823))),x75824))
% 199.17/199.23 [7583]~P97(x75831)+E(f317(f317(f75(x75831),f317(f94(x75831),x75832)),f317(f317(f75(x75831),f317(f94(x75831),x75833)),x75834)),f317(f317(f75(x75831),f317(f94(x75831),f317(f317(f75(a1),x75832),x75833))),x75834))
% 199.17/199.23 [7626]~P146(x76261)+E(f317(f155(x76261),f317(f317(f144(x76262,x76261),f317(f18(x76261,x76262),x76263)),x76264)),f317(f317(f75(x76261),f317(f90(x76261),f317(f180(f902(x76262)),x76264))),x76263))
% 199.17/199.23 [7862]E(f317(f258(x78621,f317(f317(f141(f906(a89,x78621)),x78622),x78623)),x78624),f317(f246(a89,x78621),x78622))+~P1(f317(f317(f225(a89),x78624),f317(f241(a89,x78621),x78622)))
% 199.17/199.23 [7906]~P97(x79061)+E(f317(f317(f74(x79061),f317(f94(x79061),x79062)),f317(f317(f3(x79061),x79063),f317(f94(x79061),x79064))),f317(f317(f74(x79061),f317(f94(x79061),f317(f317(f74(a1),x79062),f317(f73(a1),x79064)))),x79063))
% 199.17/199.23 [8034]E(f317(f258(x80341,x80342),f317(f317(f3(a89),x80343),f317(f241(a89,x80341),x80344))),f317(f258(x80341,f317(f317(f141(f906(a89,x80341)),x80344),x80342)),x80343))+P1(f317(f317(f225(a89),x80343),f317(f241(a89,x80341),x80344)))
% 199.17/199.23 [8469]~P1(f317(f317(f319(x84691),x84692),f317(f162(x84691),f104(x84691,x84694))))+P1(f317(f317(f319(x84691),x84692),f317(f162(x84691),f104(x84691,f317(f317(f124(x84691),x84693),x84694)))))
% 199.17/199.23 [8470]~P1(f317(f317(f319(x84701),x84702),f317(f162(x84701),f104(x84701,x84703))))+P1(f317(f317(f319(x84701),x84702),f317(f162(x84701),f104(x84701,f317(f317(f124(x84701),x84703),x84704)))))
% 199.17/199.23 [8489]E(f317(f317(f91(f907(x84891,a897)),f317(f317(f92(f907(x84891,a897)),x84892),x84893)),x84894),f317(f317(f92(f907(x84891,a897)),x84892),f317(f317(f91(f907(x84891,a897)),x84893),x84894)))+~P1(f317(f317(f224(f907(x84891,a897)),x84894),x84892))
% 199.17/199.23 [8790]~E(f317(f317(f91(f907(x87901,a897)),f317(f317(f92(f907(x87901,a897)),x87903),x87904)),x87902),f317(f317(f92(f907(x87901,a897)),x87903),f317(f317(f91(f907(x87901,a897)),x87904),x87902)))+P1(f317(f317(f224(f907(x87901,a897)),x87902),x87903))
% 199.17/199.23 [9081]~P1(f317(f317(f224(f907(x90811,a897)),x90812),f317(f317(f91(f907(x90811,a897)),x90813),x90814)))+P1(f317(f317(f224(f907(x90811,a897)),f317(f317(f3(f907(x90811,a897)),x90812),x90813)),x90814))
% 199.17/199.23 [9185]~E(f317(f300(x91851,x91852,x91853),f232(f907(x91851,a897))),f232(f907(x91852,a897)))+E(f317(f300(x91851,x91852,x91853),f317(f300(x91852,x91851,f85(x91851,x91852,f232(f907(x91851,a897)),x91853)),x91854)),x91854)
% 199.17/199.23 [9189]P1(f317(f317(f224(f907(x91891,a897)),x91892),f317(f317(f91(f907(x91891,a897)),x91893),x91894)))+~P1(f317(f317(f224(f907(x91891,a897)),f317(f317(f3(f907(x91891,a897)),x91892),x91893)),x91894))
% 199.17/199.23 [9283]~P88(x92831)+E(f317(f70(x92831),f317(f317(f8(x92832,x92831),f317(f317(f10(x92831,x92831,x92832),f70(x92831)),x92833)),x92834)),f317(f317(f8(x92832,x92831),f317(f317(f10(x92831,x92831,x92832),f70(x92831)),x92833)),x92834))
% 199.17/199.23 [9461]~P88(x94611)+P1(f317(f317(f224(x94611),f2(x94611)),f317(f317(f8(x94612,x94611),f317(f317(f10(x94611,x94611,x94612),f70(x94611)),x94613)),x94614)))
% 199.17/199.23 [9465]~P71(x94651)+E(f317(f155(x94651),f317(f317(f144(x94652,x94651),f317(f67(x94651,x94651,x94652,f73(x94651)),x94653)),x94654)),f317(f73(x94651),f317(f155(x94651),f317(f317(f144(x94652,x94651),x94653),x94654))))
% 199.17/199.23 [9611]~P88(x96111)+P1(f317(f317(f224(x96111),f317(f70(x96111),f317(f317(f8(x96112,x96111),x96113),x96114))),f317(f317(f8(x96112,x96111),f317(f317(f10(x96111,x96111,x96112),f70(x96111)),x96113)),x96114)))
% 199.17/199.23 [9652]~E(f317(f317(f74(a901),x96521),x96524),f317(f317(f74(a901),x96523),x96522))+P1(f317(f317(f319(f906(f906(a901,a901),f906(a901,a901))),f317(f317(f242(f906(a901,a901),f906(a901,a901)),f317(f317(f242(a901,a901),x96521),x96522)),f317(f317(f242(a901,a901),x96523),x96524))),a99))
% 199.17/199.23 [9653]~P1(f317(f317(f225(a901),x96531),x96533))+P1(f317(f317(f319(f906(f906(a901,a901),f906(a901,a901))),f317(f317(f242(f906(a901,a901),f906(a901,a901)),f317(f317(f242(a901,a901),x96531),x96532)),f317(f317(f242(a901,a901),x96533),x96534))),a26))
% 199.17/199.23 [9654]~P1(f317(f317(f225(a901),x96541),x96543))+P1(f317(f317(f319(f906(f906(a901,a901),f906(a901,a901))),f317(f317(f242(f906(a901,a901),f906(a901,a901)),f317(f317(f242(a901,a901),x96541),x96542)),f317(f317(f242(a901,a901),x96543),x96544))),a65))
% 199.17/199.23 [9811]E(f317(f317(f74(a901),x98111),x98112),f317(f317(f74(a901),x98113),x98114))+~P1(f317(f317(f319(f906(f906(a901,a901),f906(a901,a901))),f317(f317(f242(f906(a901,a901),f906(a901,a901)),f317(f317(f242(a901,a901),x98111),x98114)),f317(f317(f242(a901,a901),x98113),x98112))),a99))
% 199.17/199.23 [9843]E(f317(f317(f154(x98431),f317(f317(f128(x98431),f317(f180(f902(x98431)),f167(x98431,x98432,x98433))),x98433)),x98434),f317(f317(f154(x98431),x98433),f317(f317(f74(a901),x98434),f317(f180(f902(x98431)),f167(x98431,x98432,x98433)))))+~P1(f317(f317(f225(a901),x98434),f317(f180(f902(x98431)),f317(f317(f128(x98431),f317(f180(f902(x98431)),f167(x98431,x98432,x98433))),x98433))))
% 199.17/199.23 [9860]~P1(f317(f317(f319(x98602),x98604),f317(f317(f34(x98601,f907(x98602,a897)),f232(f907(x98601,a897))),x98603)))+P1(f317(f317(f317(f34(x98601,f907(x98602,a897)),f232(f907(x98601,a897))),f317(f317(f10(f907(x98602,a897),f907(x98602,a897),x98601),f317(f9(x98602,f907(x98602,a897),a897),f319(x98602))),x98603)),x98604))
% 199.17/199.23 [9861]~P1(f317(f317(f319(x98612),x98614),f317(f317(f35(x98611,f907(x98612,a897)),f232(f907(x98611,a897))),x98613)))+P1(f317(f317(f317(f35(x98611,f907(x98612,a897)),f232(f907(x98611,a897))),f317(f317(f10(f907(x98612,a897),f907(x98612,a897),x98611),f317(f9(x98612,f907(x98612,a897),a897),f319(x98612))),x98613)),x98614))
% 199.17/199.23 [9942]~P1(f317(f44(x99421,x99422),f317(f317(f242(a1,a1),x99424),x99423)))+P1(f317(f44(f317(f73(a1),x99421),x99422),f317(f317(f242(a1,a1),f317(f317(f317(f86(a1),f317(f317(a314,x99423),f2(a1))),f317(f73(a1),x99424)),f317(f317(f3(a1),f317(f73(a1),x99424)),f72(a1)))),f317(f317(f317(f86(a1),f317(f317(a314,x99423),f2(a1))),f2(a1)),f317(f317(f3(a1),x99422),x99423)))))
% 199.17/199.23 [9953]P1(f317(f317(f319(x99531),x99532),f317(f317(f34(x99533,f907(x99531,a897)),f232(f907(x99533,a897))),x99534)))+~P1(f317(f317(f317(f34(x99533,f907(x99531,a897)),f232(f907(x99533,a897))),f317(f317(f10(f907(x99531,a897),f907(x99531,a897),x99533),f317(f9(x99531,f907(x99531,a897),a897),f319(x99531))),x99534)),x99532))
% 199.17/199.23 [9954]P1(f317(f317(f319(x99541),x99542),f317(f317(f35(x99543,f907(x99541,a897)),f232(f907(x99543,a897))),x99544)))+~P1(f317(f317(f317(f35(x99543,f907(x99541,a897)),f232(f907(x99543,a897))),f317(f317(f10(f907(x99541,a897),f907(x99541,a897),x99543),f317(f9(x99541,f907(x99541,a897),a897),f319(x99541))),x99544)),x99542))
% 199.17/199.23 [9966]E(f317(f317(f35(a901,f907(x99661,a897)),f232(f907(a901,a897))),x99662),f317(f317(f35(a901,f907(x99661,a897)),f232(f907(a901,a897))),x99663))+~E(f317(f317(f35(a901,f907(x99661,a897)),f317(f293(a901,f2(a901)),f488(x99662,x99664,x99663,x99661))),x99663),f317(f317(f35(a901,f907(x99661,a897)),f317(f293(a901,f2(a901)),f317(f317(f74(a901),f488(x99662,x99664,x99663,x99661)),x99664))),x99662))
% 199.17/199.23 [10319]~P1(f317(f317(f224(f907(f906(x103191,x103192),a897)),x103193),x103194))+P1(f317(f317(f224(f907(x103191,f907(x103192,a897))),f317(f317(f9(x103191,f907(f906(x103191,x103192),a897),f907(x103192,a897)),f317(f317(f10(f907(x103192,f907(f907(f906(x103191,x103192),a897),a897)),f907(f907(f906(x103191,x103192),a897),f907(x103192,a897)),x103191),f9(x103192,f907(f906(x103191,x103192),a897),a897)),f317(f317(f10(f907(x103192,f906(x103191,x103192)),f907(x103192,f907(f907(f906(x103191,x103192),a897),a897)),x103191),f317(f10(f906(x103191,x103192),f907(f907(f906(x103191,x103192),a897),a897),x103192),f319(f906(x103191,x103192)))),f242(x103191,x103192)))),x103193)),f317(f317(f9(x103191,f907(f906(x103191,x103192),a897),f907(x103192,a897)),f317(f317(f10(f907(x103192,f907(f907(f906(x103191,x103192),a897),a897)),f907(f907(f906(x103191,x103192),a897),f907(x103192,a897)),x103191),f9(x103192,f907(f906(x103191,x103192),a897),a897)),f317(f317(f10(f907(x103192,f906(x103191,x103192)),f907(x103192,f907(f907(f906(x103191,x103192),a897),a897)),x103191),f317(f10(f906(x103191,x103192),f907(f907(f906(x103191,x103192),a897),a897),x103192),f319(f906(x103191,x103192)))),f242(x103191,x103192)))),x103194)))
% 199.17/199.23 [10342]P1(f317(f317(f224(f907(f906(x103421,x103422),a897)),x103423),x103424))+~P1(f317(f317(f224(f907(x103421,f907(x103422,a897))),f317(f317(f9(x103421,f907(f906(x103421,x103422),a897),f907(x103422,a897)),f317(f317(f10(f907(x103422,f907(f907(f906(x103421,x103422),a897),a897)),f907(f907(f906(x103421,x103422),a897),f907(x103422,a897)),x103421),f9(x103422,f907(f906(x103421,x103422),a897),a897)),f317(f317(f10(f907(x103422,f906(x103421,x103422)),f907(x103422,f907(f907(f906(x103421,x103422),a897),a897)),x103421),f317(f10(f906(x103421,x103422),f907(f907(f906(x103421,x103422),a897),a897),x103422),f319(f906(x103421,x103422)))),f242(x103421,x103422)))),x103423)),f317(f317(f9(x103421,f907(f906(x103421,x103422),a897),f907(x103422,a897)),f317(f317(f10(f907(x103422,f907(f907(f906(x103421,x103422),a897),a897)),f907(f907(f906(x103421,x103422),a897),f907(x103422,a897)),x103421),f9(x103422,f907(f906(x103421,x103422),a897),a897)),f317(f317(f10(f907(x103422,f906(x103421,x103422)),f907(x103422,f907(f907(f906(x103421,x103422),a897),a897)),x103421),f317(f10(f906(x103421,x103422),f907(f907(f906(x103421,x103422),a897),a897),x103422),f319(f906(x103421,x103422)))),f242(x103421,x103422)))),x103424)))
% 199.17/199.23 [9330]~P1(f317(f317(f319(f906(x93301,x93301)),x93302),f297(x93301,x93304)))+P1(f317(f317(f319(f906(x93301,x93301)),x93302),f297(x93301,f317(f317(f91(f907(f906(x93301,x93301),a897)),x93303),x93304))))
% 199.17/199.23 [9331]~P1(f317(f317(f319(f906(x93311,x93311)),x93312),f297(x93311,x93313)))+P1(f317(f317(f319(f906(x93311,x93311)),x93312),f297(x93311,f317(f317(f91(f907(f906(x93311,x93311),a897)),x93313),x93314))))
% 199.17/199.23 [10042]~P1(f317(f317(f224(a901),f317(f317(f74(a901),x100421),x100424)),f317(f317(f74(a901),x100423),x100422)))+P1(f317(f317(f224(a1),f317(a83,f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),f317(f317(f242(a901,a901),x100421),x100422)),f179(f907(f906(a901,a901),a897)))))),f317(a83,f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),f317(f317(f242(a901,a901),x100423),x100424)),f179(f907(f906(a901,a901),a897)))))))
% 199.17/199.23 [10043]~P1(f317(f317(f225(a901),f317(f317(f74(a901),x100431),x100434)),f317(f317(f74(a901),x100433),x100432)))+P1(f317(f317(f225(a1),f317(a83,f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),f317(f317(f242(a901,a901),x100431),x100432)),f179(f907(f906(a901,a901),a897)))))),f317(a83,f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),f317(f317(f242(a901,a901),x100433),x100434)),f179(f907(f906(a901,a901),a897)))))))
% 199.17/199.23 [10116]P1(f317(f317(f224(a901),f317(f317(f74(a901),x101161),x101162)),f317(f317(f74(a901),x101163),x101164)))+~P1(f317(f317(f224(a1),f317(a83,f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),f317(f317(f242(a901,a901),x101161),x101164)),f179(f907(f906(a901,a901),a897)))))),f317(a83,f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),f317(f317(f242(a901,a901),x101163),x101162)),f179(f907(f906(a901,a901),a897)))))))
% 199.17/199.23 [10117]P1(f317(f317(f225(a901),f317(f317(f74(a901),x101171),x101172)),f317(f317(f74(a901),x101173),x101174)))+~P1(f317(f317(f225(a1),f317(a83,f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),f317(f317(f242(a901,a901),x101171),x101174)),f179(f907(f906(a901,a901),a897)))))),f317(a83,f317(f274(f906(a901,a901),f906(a901,a901),a99),f317(f317(f299(f906(a901,a901)),f317(f317(f242(a901,a901),x101173),x101172)),f179(f907(f906(a901,a901),a897)))))))
% 199.17/199.23 [10161]P1(f317(f317(f224(f907(x101611,a897)),f317(f317(f35(a901,f907(x101611,a897)),f232(f907(a901,a897))),x101612)),f317(f317(f35(a901,f907(x101611,a897)),f232(f907(a901,a897))),x101613)))+~P1(f317(f317(f224(f907(x101611,a897)),f317(f317(f35(a901,f907(x101611,a897)),f317(f293(a901,f2(a901)),f489(x101613,x101614,x101612,x101611))),x101612)),f317(f317(f35(a901,f907(x101611,a897)),f317(f293(a901,f2(a901)),f317(f317(f74(a901),f489(x101613,x101614,x101612,x101611)),x101614))),x101613)))
% 199.17/199.23 [10215]P1(f317(f317(f224(a89),x102154),f2(a89)))+E(f317(f317(f249(f906(a89,a89),f906(x102151,f907(a900,a313)),f906(a89,a89),f906(f907(a89,f907(a897,f904(f903(x102151)))),f906(a89,a89))),f317(x102152,x102153)),f317(f317(f10(f907(f907(a89,f907(a897,f904(f903(x102151)))),f907(f906(a89,a89),f906(f907(a89,f907(a897,f904(f903(x102151)))),f906(a89,a89)))),f907(f906(a89,a89),f906(f907(a89,f907(a897,f904(f903(x102151)))),f906(a89,a89))),f906(x102151,f907(a900,a313))),f317(f249(f906(a89,a89),f907(a89,f907(a897,f904(f903(x102151)))),f906(a89,a89),f906(f907(a89,f907(a897,f904(f903(x102151)))),f906(a89,a89))),f267(x102151,x102152,f317(f317(f3(a89),x102154),f72(a89)),x102153))),f317(f317(f10(f907(f907(a89,f907(a897,f904(f903(x102151)))),f907(a89,f907(a897,f904(f903(x102151))))),f907(f907(a89,f907(a897,f904(f903(x102151)))),f907(f906(a89,a89),f906(f907(a89,f907(a897,f904(f903(x102151)))),f906(a89,a89)))),f906(x102151,f907(a900,a313))),f317(f10(f907(a89,f907(a897,f904(f903(x102151)))),f907(f906(a89,a89),f906(f907(a89,f907(a897,f904(f903(x102151)))),f906(a89,a89))),f907(a89,f907(a897,f904(f903(x102151))))),f242(f907(a89,f907(a897,f904(f903(x102151)))),f906(a89,a89)))),f317(f317(f10(f907(a89,f907(a897,f904(f903(x102151)))),f907(f907(a89,f907(a897,f904(f903(x102151)))),f907(a89,f907(a897,f904(f903(x102151))))),f906(x102151,f907(a900,a313))),f39(x102151)),f317(f317(f10(x102151,f907(a89,f907(a897,f904(f903(x102151)))),f906(x102151,f907(a900,a313))),f37(x102151)),f241(x102151,f907(a900,a313))))))),f267(x102151,x102152,x102154,x102153))
% 199.17/199.23 [10308]~P1(f317(f317(f319(x103082),x103084),f317(f273(x103081,x103082),x103083)))+P1(f317(f240(x103081,x103082,f317(f317(f9(x103081,f907(f906(x103081,x103082),a897),f907(x103082,a897)),f317(f317(f10(f907(x103082,f907(f907(f906(x103081,x103082),a897),a897)),f907(f907(f906(x103081,x103082),a897),f907(x103082,a897)),x103081),f9(x103082,f907(f906(x103081,x103082),a897),a897)),f317(f317(f10(f907(x103082,f906(x103081,x103082)),f907(x103082,f907(f907(f906(x103081,x103082),a897),a897)),x103081),f317(f10(f906(x103081,x103082),f907(f907(f906(x103081,x103082),a897),a897),x103082),f319(f906(x103081,x103082)))),f242(x103081,x103082)))),x103083)),x103084))
% 199.17/199.23 [10309]~P1(f317(f317(f319(x103091),x103094),f317(f254(x103091,x103092),x103093)))+P1(f317(f239(x103091,x103092,f317(f317(f9(x103091,f907(f906(x103091,x103092),a897),f907(x103092,a897)),f317(f317(f10(f907(x103092,f907(f907(f906(x103091,x103092),a897),a897)),f907(f907(f906(x103091,x103092),a897),f907(x103092,a897)),x103091),f9(x103092,f907(f906(x103091,x103092),a897),a897)),f317(f317(f10(f907(x103092,f906(x103091,x103092)),f907(x103092,f907(f907(f906(x103091,x103092),a897),a897)),x103091),f317(f10(f906(x103091,x103092),f907(f907(f906(x103091,x103092),a897),a897),x103092),f319(f906(x103091,x103092)))),f242(x103091,x103092)))),x103093)),x103094))
% 199.17/199.23 [10322]P1(f317(f317(f319(x103221),x103222),f317(f273(x103223,x103221),x103224)))+~P1(f317(f240(x103223,x103221,f317(f317(f9(x103223,f907(f906(x103223,x103221),a897),f907(x103221,a897)),f317(f317(f10(f907(x103221,f907(f907(f906(x103223,x103221),a897),a897)),f907(f907(f906(x103223,x103221),a897),f907(x103221,a897)),x103223),f9(x103221,f907(f906(x103223,x103221),a897),a897)),f317(f317(f10(f907(x103221,f906(x103223,x103221)),f907(x103221,f907(f907(f906(x103223,x103221),a897),a897)),x103223),f317(f10(f906(x103223,x103221),f907(f907(f906(x103223,x103221),a897),a897),x103221),f319(f906(x103223,x103221)))),f242(x103223,x103221)))),x103224)),x103222))
% 199.17/199.23 [10323]P1(f317(f317(f319(x103231),x103232),f317(f254(x103231,x103233),x103234)))+~P1(f317(f239(x103231,x103233,f317(f317(f9(x103231,f907(f906(x103231,x103233),a897),f907(x103233,a897)),f317(f317(f10(f907(x103233,f907(f907(f906(x103231,x103233),a897),a897)),f907(f907(f906(x103231,x103233),a897),f907(x103233,a897)),x103231),f9(x103233,f907(f906(x103231,x103233),a897),a897)),f317(f317(f10(f907(x103233,f906(x103231,x103233)),f907(x103233,f907(f907(f906(x103231,x103233),a897),a897)),x103231),f317(f10(f906(x103231,x103233),f907(f907(f906(x103231,x103233),a897),a897),x103233),f319(f906(x103231,x103233)))),f242(x103231,x103233)))),x103234)),x103232))
% 199.17/199.23 [9977]P1(f317(f150(x99771,x99772),x99773))+~P1(f317(f150(x99771,f317(f317(f20(x99771,a897,a897),f317(f317(f10(a897,f907(a897,a897),x99771),a315),x99774)),x99772)),x99773))
% 199.17/199.23 [9978]P1(f317(f150(x99781,x99782),x99783))+~P1(f317(f150(x99781,f317(f317(f20(x99781,a897,a897),f317(f317(f10(a897,f907(a897,a897),x99781),a315),x99782)),x99784)),x99783))
% 199.17/199.23 [10054]~P118(x100541)+E(f317(f317(f75(x100541),f317(f317(f74(x100541),f72(x100541)),f72(x100541))),f317(f317(f8(a901,x100541),f317(f317(f10(x100541,x100541,a901),f317(f74(x100541),x100542)),f317(f317(f9(a901,x100541,x100541),f317(f317(f10(x100541,f907(x100541,x100541),a901),f75(x100541)),f90(x100541))),x100543))),f317(f290(a901),x100544))),f317(f317(f75(x100541),f317(f90(x100541),x100544)),f317(f317(f74(x100541),x100542),f317(f317(f74(x100541),x100542),f317(f317(f75(x100541),f317(f90(x100541),f317(f317(f3(a901),x100544),f72(a901)))),x100543)))))
% 199.17/199.23 [10180]P1(f317(x101801,f557(x101802,x101803,x101804,x101801)))+P34(x101802,f317(f252(f906(x101802,x101802)),f317(f247(x101802,x101802,a897),f317(f317(f10(f907(x101802,a897),f907(x101802,a897),x101802),f317(f20(x101802,a897,a897),f317(f317(f10(a897,f907(a897,a897),x101802),a315),x101801))),f317(f317(f9(x101802,f907(x101802,x101802),f907(x101802,a897)),f317(f317(f10(f907(x101802,a897),f907(f907(x101802,x101802),f907(x101802,a897)),x101802),f10(x101802,a897,x101802)),a314)),x101803)))))
% 199.17/199.23 [10191]~P1(f317(f317(f225(a901),f317(x101914,f317(x101913,f557(x101911,x101913,x101914,x101912)))),f317(x101914,f557(x101911,x101913,x101914,x101912))))+P34(x101911,f317(f252(f906(x101911,x101911)),f317(f247(x101911,x101911,a897),f317(f317(f10(f907(x101911,a897),f907(x101911,a897),x101911),f317(f20(x101911,a897,a897),f317(f317(f10(a897,f907(a897,a897),x101911),a315),x101912))),f317(f317(f9(x101911,f907(x101911,x101911),f907(x101911,a897)),f317(f317(f10(f907(x101911,a897),f907(f907(x101911,x101911),f907(x101911,a897)),x101911),f10(x101911,a897,x101911)),a314)),x101913)))))
% 199.17/199.23 [10275]~P3(x102751)+E(f31(x102751,f317(f252(x102751),f317(f317(f10(f907(f907(x102752,x102751),a897),a897,x102751),f80(f907(x102752,x102751))),f317(f317(f10(f907(f907(x102752,x102751),a897),f907(f907(x102752,x102751),a897),x102751),f317(f20(f907(x102752,x102751),a897,a897),f317(f317(f10(a897,f907(a897,a897),f907(x102752,x102751)),a315),f317(f317(f9(f907(x102752,x102751),f907(f907(x102752,x102751),a897),a897),f319(f907(x102752,x102751))),x102753)))),f317(f317(f9(x102751,f907(f907(x102752,x102751),x102751),f907(f907(x102752,x102751),a897)),f317(f317(f10(f907(x102751,a897),f907(f907(f907(x102752,x102751),x102751),f907(f907(x102752,x102751),a897)),x102751),f10(x102751,a897,f907(x102752,x102751))),a314)),f317(f317(f9(f907(x102752,x102751),x102752,x102751),f7(f907(x102752,x102751))),x102754)))))),f317(f31(f907(x102752,x102751),x102753),x102754))
% 199.17/199.23 [10276]~P3(x102761)+E(f31(x102761,f317(f252(x102761),f317(f317(f10(f907(f907(x102762,x102761),a897),a897,x102761),f80(f907(x102762,x102761))),f317(f317(f10(f907(f907(x102762,x102761),a897),f907(f907(x102762,x102761),a897),x102761),f317(f20(f907(x102762,x102761),a897,a897),f317(f317(f10(a897,f907(a897,a897),f907(x102762,x102761)),a315),f317(f317(f9(f907(x102762,x102761),f907(f907(x102762,x102761),a897),a897),f319(f907(x102762,x102761))),x102763)))),f317(f317(f9(x102761,f907(f907(x102762,x102761),x102761),f907(f907(x102762,x102761),a897)),f317(f317(f10(f907(x102761,a897),f907(f907(f907(x102762,x102761),x102761),f907(f907(x102762,x102761),a897)),x102761),f10(x102761,a897,f907(x102762,x102761))),a314)),f317(f317(f9(f907(x102762,x102761),x102762,x102761),f7(f907(x102762,x102761))),x102764)))))),f317(f31(f907(x102762,x102761),x102763),x102764))
% 199.17/199.23 [10277]~P3(x102771)+E(f32(x102771,f317(f252(x102771),f317(f317(f10(f907(f907(x102772,x102771),a897),a897,x102771),f80(f907(x102772,x102771))),f317(f317(f10(f907(f907(x102772,x102771),a897),f907(f907(x102772,x102771),a897),x102771),f317(f20(f907(x102772,x102771),a897,a897),f317(f317(f10(a897,f907(a897,a897),f907(x102772,x102771)),a315),f317(f317(f9(f907(x102772,x102771),f907(f907(x102772,x102771),a897),a897),f319(f907(x102772,x102771))),x102773)))),f317(f317(f9(x102771,f907(f907(x102772,x102771),x102771),f907(f907(x102772,x102771),a897)),f317(f317(f10(f907(x102771,a897),f907(f907(f907(x102772,x102771),x102771),f907(f907(x102772,x102771),a897)),x102771),f10(x102771,a897,f907(x102772,x102771))),a314)),f317(f317(f9(f907(x102772,x102771),x102772,x102771),f7(f907(x102772,x102771))),x102774)))))),f317(f32(f907(x102772,x102771),x102773),x102774))
% 199.17/199.23 [10278]~P3(x102781)+E(f32(x102781,f317(f252(x102781),f317(f317(f10(f907(f907(x102782,x102781),a897),a897,x102781),f80(f907(x102782,x102781))),f317(f317(f10(f907(f907(x102782,x102781),a897),f907(f907(x102782,x102781),a897),x102781),f317(f20(f907(x102782,x102781),a897,a897),f317(f317(f10(a897,f907(a897,a897),f907(x102782,x102781)),a315),f317(f317(f9(f907(x102782,x102781),f907(f907(x102782,x102781),a897),a897),f319(f907(x102782,x102781))),x102783)))),f317(f317(f9(x102781,f907(f907(x102782,x102781),x102781),f907(f907(x102782,x102781),a897)),f317(f317(f10(f907(x102781,a897),f907(f907(f907(x102782,x102781),x102781),f907(f907(x102782,x102781),a897)),x102781),f10(x102781,a897,f907(x102782,x102781))),a314)),f317(f317(f9(f907(x102782,x102781),x102782,x102781),f7(f907(x102782,x102781))),x102784)))))),f317(f32(f907(x102782,x102781),x102783),x102784))
% 199.17/199.23 [10359]~P1(f317(f317(f319(f906(x103591,x103591)),f317(f317(f242(x103591,x103591),x103593),x103594)),f317(f317(f91(f907(f906(x103591,x103591),a897)),x103592),f297(x103591,f179(f907(f906(x103591,x103591),a897))))))+P1(f317(f317(f317(f317(f91(f907(x103591,f907(x103591,a897))),f317(f317(f9(x103591,f907(f906(x103591,x103591),a897),f907(x103591,a897)),f317(f317(f10(f907(x103591,f907(f907(f906(x103591,x103591),a897),a897)),f907(f907(f906(x103591,x103591),a897),f907(x103591,a897)),x103591),f9(x103591,f907(f906(x103591,x103591),a897),a897)),f317(f317(f10(f907(x103591,f906(x103591,x103591)),f907(x103591,f907(f907(f906(x103591,x103591),a897),a897)),x103591),f317(f10(f906(x103591,x103591),f907(f907(f906(x103591,x103591),a897),a897),x103591),f319(f906(x103591,x103591)))),f242(x103591,x103591)))),x103592)),a314),x103593),x103594))
% 199.17/199.23 [10374]P1(f317(f317(f319(f906(x103741,x103741)),f317(f317(f242(x103741,x103741),x103742),x103743)),f317(f317(f91(f907(f906(x103741,x103741),a897)),x103744),f297(x103741,f179(f907(f906(x103741,x103741),a897))))))+~P1(f317(f317(f317(f317(f91(f907(x103741,f907(x103741,a897))),f317(f317(f9(x103741,f907(f906(x103741,x103741),a897),f907(x103741,a897)),f317(f317(f10(f907(x103741,f907(f907(f906(x103741,x103741),a897),a897)),f907(f907(f906(x103741,x103741),a897),f907(x103741,a897)),x103741),f9(x103741,f907(f906(x103741,x103741),a897),a897)),f317(f317(f10(f907(x103741,f906(x103741,x103741)),f907(x103741,f907(f907(f906(x103741,x103741),a897),a897)),x103741),f317(f10(f906(x103741,x103741),f907(f907(f906(x103741,x103741),a897),a897),x103741),f319(f906(x103741,x103741)))),f242(x103741,x103741)))),x103744)),a314),x103742),x103743))
% 199.17/199.23 [10305]E(f317(f317(f141(f902(x103051)),f317(f317(f141(x103051),x103052),f317(f132(f902(x103051),f902(x103051),f124(x103051),f103(x103051)),f317(f317(f144(f902(x103051),f902(x103051)),f146(f902(x103051),x103051,f103(x103051),f317(f317(f10(f902(x103051),f907(f902(x103051),f902(x103051)),x103051),f18(f902(x103051),f902(x103051))),f317(f317(f9(x103051,f902(x103051),f902(x103051)),f141(x103051)),f103(x103051))))),x103053)))),f169(x103051,f317(f317(f141(f902(x103051)),x103054),f317(f132(f902(f902(x103051)),f902(f902(x103051)),f124(f902(x103051)),f103(f902(x103051))),f317(f317(f144(f902(x103051),f902(f902(x103051))),f146(f902(f902(x103051)),x103051,f103(f902(x103051)),f317(f18(f907(f902(x103051),f902(f902(x103051))),x103051),f317(f317(f9(f902(x103051),f902(f902(x103051)),f902(f902(x103051))),f141(f902(x103051))),f103(f902(x103051)))))),x103053))))),f169(x103051,f317(f317(f141(f902(x103051)),f317(f317(f141(x103051),x103052),x103054)),x103053)))+~P1(f317(f305(f902(f902(x103051)),f170(x103051)),f317(f317(f141(f902(x103051)),f317(f317(f141(x103051),x103052),x103054)),x103053)))
% 199.17/199.23 [10358]~P1(f317(f28(x103582),f317(f252(x103582),x103584)))+P1(f317(f28(x103581),f317(f252(x103581),f317(f317(f10(f907(x103582,a897),a897,x103581),f80(x103582)),f317(f317(f9(x103581,f907(x103582,a897),f907(x103582,a897)),f317(f317(f10(f907(x103582,f907(a897,a897)),f907(f907(x103582,a897),f907(x103582,a897)),x103581),f20(x103582,a897,a897)),f317(f317(f10(f907(x103582,a897),f907(x103582,f907(a897,a897)),x103581),f317(f10(a897,f907(a897,a897),x103582),a315)),f317(f317(f9(x103581,f907(x103582,x103581),f907(x103582,a897)),f317(f317(f10(f907(x103581,a897),f907(f907(x103582,x103581),f907(x103582,a897)),x103581),f10(x103581,a897,x103582)),a314)),x103583)))),x103584)))))
% 199.17/199.23 [8827]P22(x88271,x88272,x88273,x88274)+~P23(x88271,x88272,x88273,x88274,x88275)
% 199.17/199.23 [5331]E(x53311,x53312)+~E(f159(x53313,x53311,x53314),f159(x53313,x53312,x53315))
% 199.17/199.23 [5332]E(x53321,x53322)+~E(f116(x53323,x53324,x53321),f116(x53323,x53325,x53322))
% 199.17/199.23 [5333]E(x53331,x53332)+~E(f116(x53333,x53331,x53334),f116(x53333,x53332,x53335))
% 199.17/199.23 [8168]~E(f317(x81683,x81684),x81685)+E(f69(x81681,x81682,x81683,x81684,x81685),x81683)
% 199.17/199.23 [8693]~E(f69(x86934,x86935,x86931,x86932,x86933),x86931)+E(f317(x86931,x86932),x86933)
% 199.17/199.23 [9302]~P23(x93022,x93021,x93024,x93023,x93025)+P23(x93021,x93022,f71(x93022,x93021,x93023,x93024),x93025,x93023)
% 199.17/199.23 [9303]~P23(x93032,x93031,x93034,x93033,x93035)+P23(x93031,x93032,f85(x93032,x93031,x93033,x93034),x93035,x93033)
% 199.17/199.23 [6152]P1(f317(f240(x61521,x61522,x61523),x61524))+~P1(f317(f317(x61523,x61525),x61524))
% 199.17/199.23 [6154]P1(f317(f239(x61541,x61542,x61543),x61544))+~P1(f317(f317(x61543,x61544),x61545))
% 199.17/199.23 [6634]~E(x66345,f2(a89))+E(f317(f187(x66341,x66342,x66343,x66344),x66345),f114(x66342))
% 199.17/199.23 [6635]~E(x66355,f2(a89))+E(f317(f189(x66351,x66352,x66353,x66354),x66355),f105(x66352))
% 199.17/199.23 [6775]~E(x67753,f2(a89))+E(f317(f263(x67751,x67752,x67753,x67754),x67755),f317(f242(x67751,x67752),x67755))
% 199.17/199.23 [7817]~P18(x78174,x78171,x78172,x78175)+E(f317(f67(x78171,x78171,x78171,f317(x78172,x78173)),f317(x78172,x78173)),f317(x78172,x78173))
% 199.17/199.23 [8208]~P14(x82085,x82081,x82082)+E(f317(f67(x82081,x82081,x82081,f317(x82082,x82083)),f317(x82082,x82084)),f317(f67(x82081,x82081,x82081,f317(x82082,x82084)),f317(x82082,x82083)))
% 199.17/199.23 [8527]P1(f317(f317(f319(f906(x85271,x85271)),f317(f317(f242(x85271,x85271),x85272),x85273)),f311(x85271,x85274,x85275)))+~P1(f317(f317(f225(a901),f317(x85274,x85272)),f317(x85274,x85273)))
% 199.17/199.23 [8622]~P1(f317(f317(f319(x86224),x86223),f288(x86224,x86221,x86222,x86225)))+P1(f317(f317(x86221,x86222),x86223))
% 199.17/199.23 [8623]~P1(f317(f317(f319(x86234),x86233),f279(x86234,x86231,x86232,x86235)))+P1(f317(f317(x86231,x86232),x86233))
% 199.17/199.23 [8624]~P1(f317(f317(f319(x86244),x86242),f288(x86244,x86241,x86245,x86243)))+P1(f317(f317(x86241,x86242),x86243))
% 199.17/199.23 [8625]~P1(f317(f317(f319(x86254),x86252),f279(x86254,x86251,x86255,x86253)))+P1(f317(f317(x86251,x86252),x86253))
% 199.17/199.23 [8704]~P23(x87041,x87043,x87045,x87042,x87044)+E(f317(f29(x87041),x87042),f317(f29(x87043),x87044))
% 199.17/199.23 [8753]~P23(x87531,x87532,x87533,x87534,x87535)+E(f317(f300(x87531,x87532,x87533),x87534),x87535)
% 199.17/199.23 [8768]~P54(x87682,x87681,x87685,x87683,x87684)+E(f317(f300(x87681,x87682,x87683),x87684),f232(f907(x87682,a897)))
% 199.17/199.23 [9201]~P31(x92011,x92012,x92013,x92014,x92015)+P31(x92011,x92012,x92013,f317(f158(x92011),x92014),f317(f158(x92012),x92015))
% 199.17/199.23 [9203]~P31(x92031,x92032,x92033,f317(f158(x92031),x92034),x92035)+P31(x92031,x92032,x92033,x92034,f317(f158(x92032),x92035))
% 199.17/199.23 [9204]~P31(x92041,x92042,x92043,x92044,f317(f158(x92042),x92045))+P31(x92041,x92042,x92043,f317(f158(x92041),x92044),x92045)
% 199.17/199.23 [9210]P31(x92101,x92102,x92103,x92104,x92105)+~P31(x92101,x92102,x92103,f317(f158(x92101),x92104),f317(f158(x92102),x92105))
% 199.17/199.23 [9638]P1(f317(f317(f319(f906(f902(x96381),f902(x96381))),f317(f317(f242(f902(x96381),f902(x96381)),f317(f317(f141(x96381),x96382),x96383)),f317(f317(f141(x96381),x96382),x96384))),f147(x96381,x96385)))+~P1(f317(f317(f319(f906(f902(x96381),f902(x96381))),f317(f317(f242(f902(x96381),f902(x96381)),x96383),x96384)),f147(x96381,x96385)))
% 199.17/199.23 [9639]P1(f317(f317(f319(f906(f902(x96391),f902(x96391))),f317(f317(f242(f902(x96391),f902(x96391)),f317(f317(f124(x96391),x96392),x96393)),f317(f317(f124(x96391),x96392),x96394))),f137(x96391,x96395)))+~P1(f317(f317(f319(f906(f902(x96391),f902(x96391))),f317(f317(f242(f902(x96391),f902(x96391)),x96393),x96394)),f137(x96391,x96395)))
% 199.17/199.23 [9851]E(f317(f317(f141(x98511),f633(x98512,x98513,x98514,x98515,x98511)),f634(x98512,x98513,x98514,x98515,x98511)),x98515)+~P1(f317(f317(f319(f906(f902(x98511),f902(x98511))),f317(f317(f242(f902(x98511),f902(x98511)),x98515),f317(f317(f141(x98511),x98514),x98513))),f148(x98511,x98512)))
% 199.17/199.23 [9872]E(f317(f317(f141(x98721),f636(x98722,x98723,x98724,x98725,x98721)),f637(x98722,x98723,x98724,x98725,x98721)),x98723)+~P1(f317(f317(f319(f906(f902(x98721),f902(x98721))),f317(f317(f242(f902(x98721),f902(x98721)),f317(f317(f141(x98721),x98725),x98724)),x98723)),f148(x98721,x98722)))
% 199.17/199.23 [10021]~P1(f317(f317(f319(f906(f902(x100211),f902(x100211))),f317(f317(f242(f902(x100211),f902(x100211)),f317(f317(f141(x100211),x100215),x100212)),x100214)),f148(x100211,x100213)))+P1(f317(f317(f319(f906(f902(x100211),f902(x100211))),f317(f317(f242(f902(x100211),f902(x100211)),x100212),f637(x100213,x100214,x100212,x100215,x100211))),f148(x100211,x100213)))
% 199.17/199.23 [10088]~P1(f317(f317(f319(f906(f902(x100881),f902(x100881))),f317(f317(f242(f902(x100881),f902(x100881)),x100885),f317(f317(f141(x100881),x100884),x100883))),f148(x100881,x100882)))+P1(f317(f317(f319(f906(f902(x100881),f902(x100881))),f317(f317(f242(f902(x100881),f902(x100881)),f634(x100882,x100883,x100884,x100885,x100881)),x100883)),f148(x100881,x100882)))
% 199.17/199.23 [10279]P1(f317(f317(f319(f906(x102791,x102791)),f317(f317(f242(x102791,x102791),f317(x102792,f317(f317(f74(a901),x102793),x102794))),f317(x102792,x102793))),f297(x102791,x102795)))+~P1(f317(f317(f319(f906(x102791,x102791)),f317(f317(f242(x102791,x102791),f317(x102792,f317(a102,f600(x102794,x102793,x102795,x102792,x102791)))),f317(x102792,f600(x102794,x102793,x102795,x102792,x102791)))),f297(x102791,x102795)))
% 199.17/199.23 [5305]E(x53051,x53052)+~E(f317(f317(f141(x53053),x53054),x53051),f317(f317(f141(x53053),x53055),x53052))
% 199.17/199.23 [5306]E(x53061,x53062)+~E(f317(f317(f141(x53063),x53061),x53064),f317(f317(f141(x53063),x53062),x53065))
% 199.17/199.23 [5348]P1(f317(x53481,x53482))+~E(f317(f126(x53483,x53481),x53484),f317(f317(f141(x53483),x53482),x53485))
% 199.17/199.23 [5349]P1(f317(x53491,x53492))+~E(f317(f317(f141(x53493),x53492),x53494),f317(f126(x53493,x53491),x53495))
% 199.17/199.23 [5512]~E(f317(f317(f128(x55121),x55123),x55122),f317(f317(f141(x55121),x55124),x55125))+E(f317(f317(f154(x55121),x55122),x55123),x55124)
% 199.17/199.23 [5651]~P12(x56514,x56515,x56511)+E(f317(f317(x56511,x56512),f317(f317(x56511,x56512),x56513)),f317(f317(x56511,x56512),x56513))
% 199.17/199.23 [6211]~E(x62114,f2(a89))+E(f317(f317(f107(x62111,x62112,x62113),x62114),x62115),f317(f317(f242(f902(x62112),x62111),f103(x62112)),x62115))
% 199.17/199.23 [6283]~P108(x62832)+~E(f317(f317(f138(x62831,x62832,x62833),x62834),x62835),f103(x62831))
% 199.17/199.23 [6675]E(x66751,x66752)+~E(f317(f317(f124(x66753),x66754),f317(f317(f141(x66753),x66751),f103(x66753))),f317(f317(f124(x66753),x66755),f317(f317(f141(x66753),x66752),f103(x66753))))
% 199.17/199.23 [6676]E(x66761,x66762)+~E(f317(f317(f124(x66763),x66761),f317(f317(f141(x66763),x66764),f103(x66763))),f317(f317(f124(x66763),x66762),f317(f317(f141(x66763),x66765),f103(x66763))))
% 199.17/199.23 [6991]E(f317(f317(f299(x69911),f317(x69912,x69913)),f317(f300(x69914,x69911,x69912),x69915)),f317(f300(x69914,x69911,x69912),x69915))+~P1(f317(f317(f319(x69914),x69913),x69915))
% 199.17/199.23 [6998]~P1(f317(x69984,f317(x69983,x69985)))+P1(f317(f317(f301(x69981,x69982,x69983),x69984),x69985))
% 199.17/199.23 [7001]~P1(f317(f317(x70013,x70015),x70014))+P1(f317(f317(f233(x70011,x70012,x70013),x70014),x70015))
% 199.17/199.23 [7099]~E(f317(f300(x70991,x70992,x70993),x70994),x70995)+E(f317(f300(f907(x70991,a897),f907(x70992,a897),f300(x70991,x70992,x70993)),f317(f298(x70991),x70994)),f317(f298(x70992),x70995))
% 199.17/199.23 [7127]E(f317(f261(x71271,x71272,x71273,x71274),x71275),f317(x71274,x71275))+~P1(f317(f317(f319(x71271),x71275),x71273))
% 199.17/199.23 [7437]P22(x74371,x74372,x74373,x74374)+~P22(x74371,x74372,x74373,f317(f317(f299(x74371),x74375),x74374))
% 199.17/199.23 [7535]~P1(f317(f317(f319(x75354),x75353),x75355))+P1(f317(f317(f319(x75351),f317(x75352,x75353)),f317(f300(x75354,x75351,x75352),x75355)))
% 199.17/199.23 [7556]~P108(x75562)+E(f140(x75561,x75562,x75563,f317(f126(x75561,x75564),x75565)),f317(f126(x75561,x75564),f140(x75561,x75562,x75563,x75565)))
% 199.17/199.23 [7587]P1(f317(x75871,f317(x75872,x75873)))+~P1(f317(f317(f301(x75874,x75875,x75872),x75871),x75873))
% 199.17/199.23 [7590]P1(f317(f317(x75901,x75902),x75903))+~P1(f317(f317(f233(x75904,x75905,x75901),x75903),x75902))
% 199.17/199.23 [7656]~P1(f317(f317(f319(x76563),f317(x76564,x76562)),x76565))+P1(f317(f317(f319(x76561),x76562),f317(f301(x76561,x76563,x76564),x76565)))
% 199.17/199.23 [8047]~P1(f317(f317(f319(x80475),x80473),f317(f301(x80475,x80471,x80472),x80474)))+P1(f317(f317(f319(x80471),f317(x80472,x80473)),x80474))
% 199.17/199.23 [8347]~P14(x83472,x83471,x83473)+E(f317(f132(x83471,x83472,f317(f9(x83472,x83471,x83471),x83473),x83474),f142(x83472,x83475)),f317(f317(f58(x83472,x83471,x83473),x83474),f317(f162(x83472),x83475)))
% 199.17/199.23 [8369]E(f317(x83691,f415(x83692,x83691,x83693,x83694)),x83694)+~P1(f317(f317(f319(x83695),x83694),f317(f300(x83693,x83695,x83691),x83692)))
% 199.17/199.23 [8669]~E(x86692,f317(f317(f141(x86691),x86694),x86695))+P1(f317(f317(f319(f906(f902(x86691),f902(x86691))),f317(f317(f242(f902(x86691),f902(x86691)),f103(x86691)),x86692)),f137(x86691,x86693)))
% 199.17/199.23 [8713]E(f317(x87131,f317(f85(x87132,x87133,x87134,x87131),x87135)),x87135)+~P1(f317(f317(f319(x87133),x87135),f317(f300(x87132,x87133,x87131),x87134)))
% 199.17/199.23 [8716]P22(x87161,x87162,f85(x87162,x87161,x87163,x87164),x87165)+~P1(f317(f317(f224(f907(x87161,a897)),x87165),f317(f300(x87162,x87161,x87164),x87163)))
% 199.17/199.23 [8725]~P31(x87251,x87253,x87255,x87252,x87254)+E(f317(f180(f902(x87251)),x87252),f317(f180(f902(x87253)),x87254))
% 199.17/199.23 [8735]P1(f317(f317(f224(f907(x87351,a897)),f317(f317(f34(x87352,f907(x87351,a897)),x87353),x87354)),f317(x87354,x87355)))+~P1(f317(f317(f319(x87352),x87355),x87353))
% 199.17/199.23 [8783]~P54(x87831,x87832,x87833,x87835,x87834)+E(f317(f300(x87831,x87832,x87833),f232(f907(x87831,a897))),x87834)
% 199.17/199.23 [9010]E(f317(f126(x90101,x90102),f723(x90103,x90104,x90105,x90102,x90101)),x90103)+~E(f317(f126(x90101,x90102),x90105),f317(f317(f141(x90101),x90104),x90103))
% 199.17/199.23 [9011]E(f317(f126(x90111,x90112),f727(x90113,x90112,x90114,x90115,x90111)),x90114)+~E(f317(f317(f141(x90111),x90115),x90114),f317(f126(x90111,x90112),x90113))
% 199.17/199.23 [9102]E(f317(f180(f902(x91021)),x91022),x91023)+~P1(f317(f317(f319(f906(f902(x91021),f902(x91021))),f317(f317(f242(f902(x91021),f902(x91021)),x91024),x91022)),f317(f133(x91021,x91025),x91023)))
% 199.17/199.23 [9103]E(f317(f180(f902(x91031)),x91032),x91033)+~P1(f317(f317(f319(f906(f902(x91031),f902(x91031))),f317(f317(f242(f902(x91031),f902(x91031)),x91032),x91034)),f317(f133(x91031,x91035),x91033)))
% 199.17/199.23 [9166]P1(f317(f317(f319(x91661),f415(x91662,x91663,x91661,x91664)),x91662))+~P1(f317(f317(f319(x91665),x91664),f317(f300(x91661,x91665,x91663),x91662)))
% 199.17/199.23 [9328]E(f317(f300(x93281,x93282,x93283),f659(x93284,x93283,x93281,x93285,x93282)),x93285)+~P1(f317(f317(f224(f907(x93282,a897)),x93285),f317(f300(x93281,x93282,x93283),x93284)))
% 199.17/199.23 [9661]P1(f317(f317(f319(f906(f902(x96611),f902(x96611))),f317(f317(f242(f902(x96611),f902(x96611)),f317(f317(f141(x96611),x96612),x96613)),f317(f317(f141(x96611),x96612),x96614))),f297(f902(x96611),f147(x96611,x96615))))+~P1(f317(f317(f319(f906(f902(x96611),f902(x96611))),f317(f317(f242(f902(x96611),f902(x96611)),x96613),x96614)),f297(f902(x96611),f147(x96611,x96615))))
% 199.17/199.23 [9692]~E(f317(x96923,f676(x96925,x96924,x96923,x96922,x96921)),f317(x96925,f676(x96925,x96924,x96923,x96922,x96921)))+E(f317(f317(f144(x96921,x96922),x96923),x96924),f317(f317(f144(x96921,x96922),x96925),x96924))
% 199.17/199.23 [9776]~E(f317(f126(x97761,x97765),x97764),f317(f317(f141(x97761),x97763),x97762))+E(f317(f317(f124(x97761),f726(x97762,x97763,x97764,x97765,x97761)),f317(f317(f141(x97761),x97763),f723(x97762,x97763,x97764,x97765,x97761))),x97764)
% 199.17/199.23 [9777]~E(f317(f317(f141(x97771),x97775),x97774),f317(f126(x97771,x97773),x97772))+E(f317(f317(f124(x97771),f728(x97772,x97773,x97774,x97775,x97771)),f317(f317(f141(x97771),x97775),f727(x97772,x97773,x97774,x97775,x97771))),x97772)
% 199.17/199.23 [9785]E(f317(f317(f144(x97851,x97852),x97853),x97854),f317(f317(f144(x97851,x97852),x97855),x97854))+P1(f317(f317(f319(x97851),f676(x97853,x97854,x97855,x97852,x97851)),f317(f162(x97851),x97854)))
% 199.17/199.23 [9812]~P1(f317(f317(f319(x98125),x98124),f317(f274(x98121,x98125,x98123),x98122)))+P1(f317(f317(f319(x98121),f491(x98122,x98123,x98121,x98124,x98125)),x98122))
% 199.17/199.23 [9813]~P1(f317(f317(f319(x98135),x98134),f317(f274(x98131,x98135,x98133),x98132)))+P1(f317(f317(f319(x98131),f496(x98132,x98133,x98131,x98134,x98135)),x98132))
% 199.17/199.23 [9844]~P1(f317(f317(f224(f907(x98445,a897)),x98444),f317(f300(x98441,x98445,x98443),x98442)))+P1(f317(f317(f224(f907(x98441,a897)),f659(x98442,x98443,x98441,x98444,x98445)),x98442))
% 199.17/199.23 [10281]E(x102811,f2(a89))+E(f214(f906(f902(x102812),x102813),f906(x102812,x102813),f317(f317(f242(f902(x102812),x102813),f103(x102812)),x102814),f317(f247(x102812,x102813,f906(f902(x102812),x102813)),f317(f317(f9(x102812,f907(x102813,f906(f902(x102812),x102813)),f907(x102813,f906(f902(x102812),x102813))),f317(f317(f10(f907(f906(f902(x102812),x102813),f906(f902(x102812),x102813)),f907(f907(x102813,f906(f902(x102812),x102813)),f907(x102813,f906(f902(x102812),x102813))),x102812),f10(f906(f902(x102812),x102813),f906(f902(x102812),x102813),x102813)),f317(f317(f10(f907(f902(x102812),f907(x102813,f906(f902(x102812),x102813))),f907(f906(f902(x102812),x102813),f906(f902(x102812),x102813)),x102812),f247(f902(x102812),x102813,f906(f902(x102812),x102813))),f317(f317(f10(f907(f902(x102812),f902(x102812)),f907(f902(x102812),f907(x102813,f906(f902(x102812),x102813))),x102812),f317(f10(f902(x102812),f907(x102813,f906(f902(x102812),x102813)),f902(x102812)),f242(f902(x102812),x102813))),f141(x102812))))),f317(f107(x102813,x102812,x102815),f317(f317(f3(a89),x102811),f72(a89))))),f317(x102815,x102814)),f317(f317(f107(x102813,x102812,x102815),x102811),x102814))
% 199.17/199.23 [6091]E(x60911,x60912)+~E(f317(f246(x60913,x60914),f317(f317(f242(x60913,x60914),x60915),x60911)),x60912)
% 199.17/199.23 [6092]E(x60921,x60922)+~E(f317(f241(x60923,x60924),f317(f317(f242(x60923,x60924),x60921),x60925)),x60922)
% 199.17/199.23 [6359]~E(x63593,f317(f317(f124(x63591),x63594),f317(f317(f141(x63591),x63592),x63595)))+P1(f317(f317(f319(x63591),x63592),f317(f162(x63591),x63593)))
% 199.17/199.23 [6762]E(f317(f300(x67621,x67622,f317(f18(x67622,x67621),x67623)),x67624),f317(f317(f299(x67622),x67623),f179(f907(x67622,a897))))+~P1(f317(f317(f319(x67621),x67625),x67624))
% 199.17/199.23 [6836]E(f317(f317(f91(f907(x68361,a897)),f317(f162(x68361),x68362)),f317(f162(x68361),x68363)),f317(f162(x68361),x68364))+~E(f156(x68361,x68365,x68364),f317(f317(f242(f902(x68361),f902(x68361)),x68362),x68363))
% 199.17/199.23 [6929]~P108(x69292)+E(f317(f180(f902(x69291)),f317(f317(f138(x69291,x69292,x69293),x69294),x69295)),f317(a102,f317(f180(f902(x69291)),x69295)))
% 199.17/199.23 [6943]~P108(x69432)+E(f317(f162(x69431),f317(f317(f138(x69431,x69432,x69433),x69434),x69435)),f317(f317(f299(x69431),x69434),f317(f162(x69431),x69435)))
% 199.17/199.23 [7220]~P118(x72201)+E(f317(f317(f74(x72201),f317(f317(f74(x72201),x72202),x72203)),f317(f317(f74(x72201),x72204),x72205)),f317(f317(f74(x72201),f317(f317(f74(x72201),x72202),x72204)),f317(f317(f74(x72201),x72203),x72205)))
% 199.17/199.23 [7221]~P118(x72211)+E(f317(f317(f75(x72211),f317(f317(f75(x72211),x72212),x72213)),f317(f317(f75(x72211),x72214),x72215)),f317(f317(f75(x72211),f317(f317(f75(x72211),x72212),x72214)),f317(f317(f75(x72211),x72213),x72215)))
% 199.17/199.23 [7222]~P61(x72221)+E(f317(f317(f280(x72221),f317(f317(f75(x72221),x72222),x72223)),f317(f317(f75(x72221),x72224),x72225)),f317(f317(f75(x72221),f317(f317(f280(x72221),x72222),x72224)),f317(f317(f280(x72221),x72223),x72225)))
% 199.17/199.23 [7236]~P108(x72361)+E(f296(x72361,f317(f317(f178(x72361),x72362),x72363),f317(f317(f228(x72361),x72364),x72365)),f317(f317(f92(f907(x72361,a897)),f296(x72361,x72362,x72364)),f296(x72361,x72363,x72365)))
% 199.17/199.23 [7237]~P108(x72371)+E(f295(x72371,f317(f317(f178(x72371),x72372),x72373),f317(f317(f228(x72371),x72374),x72375)),f317(f317(f92(f907(x72371,a897)),f295(x72371,x72372,x72374)),f295(x72371,x72373,x72375)))
% 199.17/199.23 [7238]~P108(x72381)+E(f294(x72381,f317(f317(f178(x72381),x72382),x72383),f317(f317(f228(x72381),x72384),x72385)),f317(f317(f92(f907(x72381,a897)),f294(x72381,x72382,x72384)),f294(x72381,x72383,x72385)))
% 199.17/199.23 [7239]~P108(x72391)+E(f317(f317(f92(f907(x72391,a897)),f317(f293(x72391,x72392),x72393)),f317(f293(x72391,x72394),x72395)),f317(f293(x72391,f317(f317(f178(x72391),x72392),x72394)),f317(f317(f228(x72391),x72393),x72395)))
% 199.17/199.23 [7359]~P1(f317(x73591,f443(x73593,x73592,x73591)))+P1(f317(x73591,f317(f317(f242(x73592,x73593),x73594),x73595)))
% 199.17/199.23 [7462]~E(x74622,f317(x74624,x74625))+P1(f317(f317(f319(x74621),x74622),f317(f300(x74623,x74621,x74624),f232(f907(x74623,a897)))))
% 199.17/199.23 [7533]~P14(x75333,x75332,x75334)+P14(x75331,x75332,f317(f317(f10(x75333,f907(x75332,x75332),x75331),x75334),x75335))
% 199.17/199.23 [7534]~P12(x75343,x75342,x75344)+P12(x75341,x75342,f317(f317(f10(x75343,f907(x75342,x75342),x75341),x75344),x75345))
% 199.17/199.23 [7672]~P22(x76721,x76722,x76723,x76724)+P22(x76721,x76722,x76723,f317(f317(f3(f907(x76721,a897)),x76724),x76725))
% 199.17/199.23 [7826]~P1(f317(f317(x78263,x78264),x78265))+P1(f317(f317(f247(x78261,x78262,a897),x78263),f317(f317(f242(x78261,x78262),x78264),x78265)))
% 199.17/199.23 [7945]~P1(f317(x79452,x79454))+~E(f317(f317(f128(x79451),f317(f180(f902(x79451)),f167(x79451,x79452,x79453))),x79453),f317(f317(f141(x79451),x79454),x79455))
% 199.17/199.23 [7965]P22(x79651,x79652,x79653,x79654)+~P22(x79651,x79652,x79653,f317(f317(f91(f907(x79651,a897)),x79655),x79654))
% 199.17/199.23 [7966]P22(x79661,x79662,x79663,x79664)+~P22(x79661,x79662,x79663,f317(f317(f91(f907(x79661,a897)),x79664),x79665))
% 199.17/199.23 [8009]~P108(x80092)+E(f317(f317(f138(x80091,x80092,x80093),x80094),f140(x80091,x80092,x80093,x80095)),f140(x80091,x80092,x80093,f317(f317(f141(x80091),x80094),x80095)))
% 199.17/199.23 [8325]~P12(x83252,x83251,x83253)+E(f317(f132(x83251,x83252,f317(f9(x83252,x83251,x83251),x83253),x83254),x83255),f317(f317(f58(x83252,x83251,x83253),x83254),f317(f162(x83252),x83255)))
% 199.17/199.23 [8352]~E(f317(f317(f128(x83521),f317(f180(f902(x83521)),f167(x83521,x83522,x83523))),x83523),f317(f317(f141(x83521),x83524),x83525))+E(f317(f317(f124(x83521),f167(x83521,x83522,x83523)),f317(f317(f141(x83521),x83524),x83525)),x83523)
% 199.17/199.23 [8379]P1(f317(f317(x83791,x83792),x83793))+~P1(f317(f317(f247(x83794,x83795,a897),x83791),f317(f317(f242(x83794,x83795),x83792),x83793)))
% 199.17/199.23 [8845]P1(f317(f317(f224(f907(x88451,a897)),f317(f300(x88452,x88451,x88453),x88454)),f317(f300(x88452,x88451,x88453),x88455)))+~P1(f317(f317(f224(f907(x88452,a897)),x88454),x88455))
% 199.17/199.23 [8846]P1(f317(f317(f224(f907(x88461,a897)),f317(f301(x88461,x88462,x88463),x88464)),f317(f301(x88461,x88462,x88463),x88465)))+~P1(f317(f317(f224(f907(x88462,a897)),x88464),x88465))
% 199.17/199.23 [8926]E(x89261,f2(a89))+E(f317(f317(f249(x89262,x89263,x89262,f906(x89263,x89262)),f317(x89264,x89265)),f263(x89263,x89262,f317(f317(f3(a89),x89261),f72(a89)),x89264)),f317(f263(x89263,x89262,x89261,x89264),x89265))
% 199.17/199.23 [9035]P1(f317(f317(f245(x90351,x90352,a897,x90353),x90354),x90355))+~P1(f317(x90353,f317(f317(f242(x90351,x90352),x90354),x90355)))
% 199.17/199.23 [9308]~P1(f317(f317(f245(x93082,x93083,a897,x93081),x93084),x93085))+P1(f317(x93081,f317(f317(f242(x93082,x93083),x93084),x93085)))
% 199.17/199.23 [9499]~P1(f317(f317(f319(x94992),x94995),f317(f300(x94991,x94992,x94994),x94993)))+P1(f317(f317(f319(x94991),f317(f85(x94991,x94992,x94993,x94994),x94995)),x94993))
% 199.17/199.23 [9589]~P1(f317(f28(x95893),f317(f300(x95892,x95893,x95895),f232(f907(x95892,a897)))))+P1(f317(f28(x95891),f317(f300(x95892,x95891,f317(f317(f10(x95893,x95891,x95892),x95894),x95895)),f232(f907(x95892,a897)))))
% 199.17/199.23 [9615]P1(f317(f317(f224(f907(f907(x96151,a897),a897)),f317(f300(f907(x96152,a897),f907(x96151,a897),f300(x96152,x96151,x96153)),f317(f298(x96152),x96154))),f317(f298(x96151),x96155)))+~P1(f317(f317(f224(f907(x96151,a897)),f317(f300(x96152,x96151,x96153),x96154)),x96155))
% 199.17/199.23 [9700]E(x97001,x97002)+~P1(f317(f60(x97003,x97004,x97005,x97001,f179(f907(x97003,a897))),x97002))
% 199.17/199.23 [9714]E(f317(f317(f242(x97141,x97142),f538(x97143,x97144,x97145,x97142,x97141)),f540(x97143,x97144,x97145,x97142,x97141)),x97145)+~P1(f317(f317(f319(f906(x97141,x97142)),x97145),f317(f317(f244(x97141,x97142),x97144),x97143)))
% 199.17/199.23 [9818]P1(f317(f317(f319(x98181),f538(x98182,x98183,x98184,x98185,x98181)),x98183))+~P1(f317(f317(f319(f906(x98181,x98185)),x98184),f317(f317(f244(x98181,x98185),x98183),x98182)))
% 199.17/199.23 [9990]P1(f317(f317(f319(x99901),f540(x99902,x99903,x99904,x99901,x99905)),f317(x99902,f538(x99902,x99903,x99904,x99901,x99905))))+~P1(f317(f317(f319(f906(x99905,x99901)),x99904),f317(f317(f244(x99905,x99901),x99903),x99902)))
% 199.17/199.23 [10001]P1(f317(f317(f319(f906(x100011,x100011)),f317(f317(f242(x100011,x100011),x100012),f620(x100013,x100014,x100015,x100012,x100011))),x100013))+~P1(f317(f317(f319(f906(x100011,x100011)),f317(f317(f242(x100011,x100011),x100012),x100015)),f317(f317(f173(f906(x100011,x100011),a897),f317(a102,x100014)),x100013)))
% 199.17/199.23 [10002]P1(f317(f317(f319(f906(x100021,x100021)),f317(f317(f242(x100021,x100021),x100022),f622(x100023,x100024,x100025,x100022,x100021))),x100023))+~P1(f317(f317(f319(f906(x100021,x100021)),f317(f317(f242(x100021,x100021),x100022),x100025)),f317(f317(f173(f906(x100021,x100021),a897),f317(a102,x100024)),x100023)))
% 199.17/199.23 [10019]~P1(f317(f317(f319(f906(f902(x100191),f902(x100191))),f317(f317(f242(f902(x100191),f902(x100191)),f317(f317(f141(x100191),x100192),x100195)),x100194)),f148(x100191,x100193)))+P1(f317(f317(f319(f906(x100191,x100191)),f317(f317(f242(x100191,x100191),x100192),f636(x100193,x100194,x100195,x100192,x100191))),x100193))
% 199.17/199.23 [6436]P1(f317(x64362,x64364))+E(f167(x64361,x64362,f317(f317(f124(x64361),x64363),f317(f317(f141(x64361),x64364),x64365))),f167(x64361,x64362,x64363))
% 199.17/199.23 [6485]~P68(x64852)+E(f317(f317(f317(f91(f907(x64851,x64852)),x64853),x64854),x64855),f317(f317(f91(x64852),f317(x64853,x64855)),f317(x64854,x64855)))
% 199.17/199.23 [6487]~P70(x64872)+E(f317(f317(f317(f3(f907(x64871,x64872)),x64873),x64874),x64875),f317(f317(f3(x64872),f317(x64873,x64875)),f317(x64874,x64875)))
% 199.17/199.23 [6489]~P68(x64892)+E(f317(f317(f317(f92(f907(x64891,x64892)),x64893),x64894),x64895),f317(f317(f92(x64892),f317(x64893,x64895)),f317(x64894,x64895)))
% 199.17/199.23 [6509]E(x65091,x65092)+E(f317(f317(f154(x65093),f317(f317(f149(x65093,x65094),x65091),x65095)),x65092),f317(f317(f154(x65093),x65094),x65092))
% 199.17/199.23 [6780]~E(x67804,f179(f907(x67803,a897)))+E(f317(f317(f91(f907(x67801,a897)),x67802),f317(f317(f35(x67803,f907(x67801,a897)),x67804),x67805)),x67802)
% 199.17/199.23 [6781]~E(x67814,f179(f907(x67813,a897)))+E(f317(f317(f3(f907(x67811,a897)),x67812),f317(f317(f35(x67813,f907(x67811,a897)),x67814),x67815)),x67812)
% 199.17/199.23 [6782]~E(x67824,f179(f907(x67823,a897)))+E(f317(f317(f92(f907(x67821,a897)),x67822),f317(f317(f34(x67823,f907(x67821,a897)),x67824),x67825)),x67822)
% 199.17/199.23 [6798]~E(x67984,f179(f907(x67983,a897)))+E(f317(f317(f299(x67981),x67982),f317(f317(f35(x67983,f907(x67981,a897)),x67984),x67985)),f317(f317(f299(x67981),x67982),f179(f907(x67981,a897))))
% 199.17/199.23 [7579]E(f317(f317(f154(x75791),f317(f317(f144(x75792,x75791),x75793),x75794)),x75795),f317(x75793,f317(f317(f154(x75792),x75794),x75795)))+~P1(f317(f317(f225(a901),x75795),f317(f180(f902(x75792)),x75794)))
% 199.17/199.23 [7644]E(f317(f317(f91(f907(x76441,a897)),f317(x76442,x76443)),f317(f317(f35(x76444,f907(x76441,a897)),x76445),x76442)),f317(f317(f35(x76444,f907(x76441,a897)),x76445),x76442))+~P1(f317(f317(f319(x76444),x76443),x76445))
% 199.17/199.23 [7645]E(f317(f317(f92(f907(x76451,a897)),f317(x76452,x76453)),f317(f317(f34(x76454,f907(x76451,a897)),x76455),x76452)),f317(f317(f34(x76454,f907(x76451,a897)),x76455),x76452))+~P1(f317(f317(f319(x76454),x76453),x76455))
% 199.17/199.23 [8248]~E(x82483,f179(f907(x82481,a897)))+E(f317(f317(f35(x82481,f907(x82482,a897)),x82483),f317(f317(f10(f907(x82482,a897),f907(x82482,a897),x82481),f317(f299(x82482),x82484)),x82485)),f179(f907(x82482,a897)))
% 199.17/199.23 [8253]~P1(f317(f317(f319(x82534),x82533),x82535))+P1(f317(f317(f224(f907(x82531,a897)),f317(x82532,x82533)),f317(f317(f35(x82534,f907(x82531,a897)),x82535),x82532)))
% 199.17/199.23 [8378]~E(f317(x83784,x83782),x83785)+P1(f317(f317(f319(x83781),x83782),f317(f301(x83781,x83783,x83784),f317(f317(f299(x83783),x83785),f179(f907(x83783,a897))))))
% 199.17/199.23 [8425]~P52(x84251,x84252,f317(f275(x84252,x84251),x84253))+E(f317(f317(f92(f907(x84251,a897)),f317(f274(x84252,x84251,x84253),x84254)),f317(f274(x84252,x84251,x84253),x84255)),f317(f274(x84252,x84251,x84253),f317(f317(f92(f907(x84252,a897)),x84254),x84255)))
% 199.17/199.23 [8498]E(x84981,f2(a89))+E(f317(f108(x84982,x84983,f317(x84984,f317(f317(f3(a89),x84981),f72(a89)))),f317(f317(f9(x84982,a89,f903(x84983)),x84985),x84981)),f317(f189(x84982,x84983,x84984,x84985),x84981))
% 199.17/199.23 [8534]E(x85341,f179(f907(x85342,a897)))+E(f317(f317(f35(x85342,f907(x85343,a897)),x85341),f317(f317(f10(f907(x85343,a897),f907(x85343,a897),x85342),f317(f299(x85343),x85344)),x85345)),f317(f317(f299(x85343),x85344),f317(f317(f35(x85342,f907(x85343,a897)),x85341),x85345)))
% 199.17/199.23 [8584]~P22(x85842,x85841,x85843,f232(f907(x85842,a897)))+E(f317(f317(f3(f907(x85841,a897)),f317(f300(x85842,x85841,x85843),x85844)),f317(f300(x85842,x85841,x85843),x85845)),f317(f300(x85842,x85841,x85843),f317(f317(f3(f907(x85842,a897)),x85844),x85845)))
% 199.17/199.23 [8585]~P22(x85852,x85851,x85853,f232(f907(x85852,a897)))+E(f317(f317(f92(f907(x85851,a897)),f317(f300(x85852,x85851,x85853),x85854)),f317(f300(x85852,x85851,x85853),x85855)),f317(f300(x85852,x85851,x85853),f317(f317(f92(f907(x85852,a897)),x85854),x85855)))
% 199.17/199.23 [8656]~P1(f317(f317(f61(x86561,x86562,x86565),x86563),x86564))+P1(f317(f317(f319(f906(x86561,x86562)),f317(f317(f242(x86561,x86562),x86563),x86564)),x86565))
% 199.17/199.23 [8687]P1(f317(f317(f319(x86871),x86872),f317(f273(x86873,x86871),x86874)))+~P1(f317(f317(f319(f906(x86873,x86871)),f317(f317(f242(x86873,x86871),x86875),x86872)),x86874))
% 199.17/199.23 [8689]P1(f317(f317(f319(x86891),x86892),f317(f254(x86891,x86893),x86894)))+~P1(f317(f317(f319(f906(x86891,x86893)),f317(f317(f242(x86891,x86893),x86892),x86895)),x86894))
% 199.17/199.23 [8828]P1(f317(f317(f61(x88281,x88282,x88283),x88284),x88285))+~P1(f317(f317(f319(f906(x88281,x88282)),f317(f317(f242(x88281,x88282),x88284),x88285)),x88283))
% 199.17/199.23 [8861]E(f317(x88611,x88612),x88613)+~P1(f317(f317(f319(x88614),x88612),f317(f301(x88614,x88615,x88611),f317(f317(f299(x88615),x88613),f179(f907(x88615,a897))))))
% 199.17/199.23 [9099]P1(f317(f317(f319(f906(x90991,x90992)),f317(f317(f242(x90991,x90992),x90993),x90994)),f317(f275(x90992,x90991),x90995)))+~P1(f317(f317(f319(f906(x90992,x90991)),f317(f317(f242(x90992,x90991),x90994),x90993)),x90995))
% 199.17/199.23 [9117]~P1(f317(f317(x91171,x91175),x91174))+P1(f317(f317(x91171,f317(f246(x91172,x91173),f317(f317(f242(x91172,x91173),x91174),x91175))),f317(f241(x91172,x91173),f317(f317(f242(x91172,x91173),x91174),x91175))))
% 199.17/199.23 [9147]~P1(f317(f317(f319(f906(x91472,x91471)),f317(f317(f242(x91472,x91471),x91474),x91473)),f317(f275(x91471,x91472),x91475)))+P1(f317(f317(f319(f906(x91471,x91472)),f317(f317(f242(x91471,x91472),x91473),x91474)),x91475))
% 199.17/199.23 [9173]~P1(f317(f317(f319(f906(x91733,x91731)),f317(f317(f242(x91733,x91731),x91735),x91732)),x91734))+P1(f317(f317(f319(x91731),x91732),f317(f274(x91733,x91731,x91734),f317(f317(f299(x91733),x91735),f179(f907(x91733,a897))))))
% 199.17/199.23 [9218]P1(f317(f317(f319(f906(x92181,x92182)),f317(f317(f242(x92181,x92182),x92183),x92184)),x92185))+~P1(f317(f317(f319(x92182),x92184),f317(f274(x92181,x92182,x92185),f317(f317(f299(x92181),x92183),f179(f907(x92181,a897))))))
% 199.17/199.23 [9315]~P72(x93151)+E(f317(f317(f8(a901,x93151),x93152),f294(a901,f317(f317(f74(a901),x93153),x93154),f317(f317(f74(a901),x93155),x93154))),f317(f317(f8(a901,x93151),f317(f317(f10(a901,x93151,a901),x93152),f317(f317(f9(a901,a901,a901),f74(a901)),x93154))),f294(a901,x93153,x93155)))
% 199.17/199.23 [9333]~P72(x93331)+E(f317(f317(f8(a901,x93331),x93332),f317(f293(a901,f317(f317(f74(a901),x93333),x93334)),f317(f317(f74(a901),x93335),x93334))),f317(f317(f8(a901,x93331),f317(f317(f10(a901,x93331,a901),x93332),f317(f317(f9(a901,a901,a901),f74(a901)),x93334))),f317(f293(a901,x93333),x93335)))
% 199.17/199.23 [9392]~P22(x93921,x93922,x93923,f232(f907(x93921,a897)))+E(f317(f317(f144(x93921,x93922),x93923),f317(f126(x93921,f317(f317(f10(a897,a897,x93921),a312),f317(a314,x93924))),x93925)),f317(f126(x93922,f317(f317(f10(a897,a897,x93922),a312),f317(a314,f317(x93923,x93924)))),f317(f317(f144(x93921,x93922),x93923),x93925)))
% 199.17/199.23 [9413]~P22(x94131,x94132,x94133,f317(f317(f299(x94131),x94134),f317(f162(x94131),x94135)))+E(f317(f317(f144(x94131,x94132),x94133),f317(f126(x94131,f317(f317(f10(a897,a897,x94131),a312),f317(a314,x94134))),x94135)),f317(f126(x94132,f317(f317(f10(a897,a897,x94132),a312),f317(a314,f317(x94133,x94134)))),f317(f317(f144(x94131,x94132),x94133),x94135)))
% 199.17/199.23 [9577]P1(f317(f317(f319(f906(f902(x95771),f902(x95771))),f317(f317(f242(f902(x95771),f902(x95771)),f317(f317(f141(x95771),x95772),x95773)),f317(f317(f141(x95771),x95774),x95773))),f147(x95771,x95775)))+~P1(f317(f317(f319(f906(x95771,x95771)),f317(f317(f242(x95771,x95771),x95772),x95774)),x95775))
% 199.17/199.23 [9709]E(f317(f317(f299(x97091),f857(x97092,x97093,x97094,x97095,x97091)),f859(x97092,x97093,x97094,x97095,x97091)),f317(f317(f299(x97091),x97094),x97093))+~P1(f317(f56(x97091,x97095,f317(f317(f299(x97091),x97094),x97093)),x97092))
% 199.17/199.23 [9710]E(f317(f317(f299(x97101),f860(x97102,x97103,x97104,x97105,x97101)),f861(x97102,x97103,x97104,x97105,x97101)),f317(f317(f299(x97101),x97104),x97103))+~P1(f317(f56(x97101,x97105,f317(f317(f299(x97101),x97104),x97103)),x97102))
% 199.17/199.23 [9803]P1(f317(f317(f319(x98031),f481(x98032,x98033,x98034,x98035,x98031)),x98034))+P1(f317(f317(f317(f34(x98031,f907(x98035,a897)),x98034),x98033),x98032))
% 199.17/199.23 [9808]P1(f317(f317(f319(x98081),f474(x98082,x98083,x98081,x98084,x98085)),x98083))+P1(f317(f317(f319(x98085),x98084),f317(f317(f34(x98081,f907(x98085,a897)),x98083),x98082)))
% 199.17/199.23 [9816]P1(f317(f317(f319(x98161),f464(x98162,x98163,x98161,x98164,x98165)),x98163))+P1(f317(f317(f224(f907(x98165,a897)),x98164),f317(f317(f34(x98161,f907(x98165,a897)),x98163),x98162)))
% 199.17/199.23 [9817]P1(f317(f317(f319(x98171),f816(x98172,x98173,x98174,x98175,x98171)),x98175))+P1(f317(f317(f224(f907(x98174,a897)),x98173),f317(f317(f34(x98171,f907(x98174,a897)),x98175),x98172)))
% 199.17/199.23 [9819]P1(f317(f317(x98191,f482(x98192,x98191,x98193,x98194,x98195)),x98192))+~P1(f317(f317(f317(f35(x98195,f907(x98194,a897)),x98193),x98191),x98192))
% 199.17/199.23 [9823]P1(f317(f317(f319(x98231),f482(x98232,x98233,x98234,x98235,x98231)),x98234))+~P1(f317(f317(f317(f35(x98231,f907(x98235,a897)),x98234),x98233),x98232))
% 199.17/199.23 [9824]P50(x98244,f317(f317(f34(x98241,f907(x98244,a897)),x98245),x98243),f317(f317(f34(x98241,f907(f906(x98244,x98244),a897)),x98245),x98242))+P1(f317(f317(f319(x98241),f755(x98242,x98243,x98244,x98245,x98241)),x98245))
% 199.17/199.23 [9825]P50(x98254,f317(f317(f35(x98251,f907(x98254,a897)),x98255),x98253),f317(f317(f35(x98251,f907(f906(x98254,x98254),a897)),x98255),x98252))+P1(f317(f317(f319(x98251),f808(x98252,x98253,x98254,x98255,x98251)),x98255))
% 199.17/199.23 [9836]P1(f317(f317(f319(x98361),f476(x98362,x98363,x98361,x98364,x98365)),x98363))+~P1(f317(f317(f319(x98365),x98364),f317(f317(f35(x98361,f907(x98365,a897)),x98363),x98362)))
% 199.17/199.23 [9842]P1(f317(f317(f319(x98421),x98422),f317(x98423,f476(x98423,x98424,x98425,x98422,x98421))))+~P1(f317(f317(f319(x98421),x98422),f317(f317(f35(x98425,f907(x98421,a897)),x98424),x98423)))
% 199.17/199.23 [9937]~P1(f317(f317(x99374,f481(x99375,x99374,x99373,x99372,x99371)),x99375))+P1(f317(f317(f317(f34(x99371,f907(x99372,a897)),x99373),x99374),x99375))
% 199.17/199.23 [9940]~P1(f317(f317(f319(x99401),x99402),f317(x99405,f474(x99405,x99404,x99403,x99402,x99401))))+P1(f317(f317(f319(x99401),x99402),f317(f317(f34(x99403,f907(x99401,a897)),x99404),x99405)))
% 199.17/199.23 [9943]~P50(x99431,f317(x99434,f755(x99435,x99434,x99431,x99433,x99432)),f317(x99435,f755(x99435,x99434,x99431,x99433,x99432)))+P50(x99431,f317(f317(f34(x99432,f907(x99431,a897)),x99433),x99434),f317(f317(f34(x99432,f907(f906(x99431,x99431),a897)),x99433),x99435))
% 199.17/199.23 [9944]~P50(x99441,f317(x99444,f808(x99445,x99444,x99441,x99443,x99442)),f317(x99445,f808(x99445,x99444,x99441,x99443,x99442)))+P50(x99441,f317(f317(f35(x99442,f907(x99441,a897)),x99443),x99444),f317(f317(f35(x99442,f907(f906(x99441,x99441),a897)),x99443),x99445))
% 199.17/199.23 [9945]~P1(f317(f317(f224(f907(x99451,a897)),x99452),f317(x99455,f464(x99455,x99454,x99453,x99452,x99451))))+P1(f317(f317(f224(f907(x99451,a897)),x99452),f317(f317(f34(x99453,f907(x99451,a897)),x99454),x99455)))
% 199.17/199.23 [9946]~P1(f317(f317(f224(f907(x99461,a897)),x99462),f317(x99465,f816(x99465,x99462,x99461,x99464,x99463))))+P1(f317(f317(f224(f907(x99461,a897)),x99462),f317(f317(f34(x99463,f907(x99461,a897)),x99464),x99465)))
% 199.17/199.23 [10005]~P1(f317(f317(f319(x100051),f857(x100055,x100054,x100053,x100052,x100051)),f859(x100055,x100054,x100053,x100052,x100051)))+~P1(f317(f56(x100051,x100052,f317(f317(f299(x100051),x100053),x100054)),x100055))
% 199.17/199.23 [10006]~P1(f317(f317(f319(x100061),f860(x100065,x100064,x100063,x100062,x100061)),f861(x100065,x100064,x100063,x100062,x100061)))+~P1(f317(f56(x100061,x100062,f317(f317(f299(x100061),x100063),x100064)),x100065))
% 199.17/199.23 [10007]~P1(f317(f317(f319(f906(x100071,x100071)),f317(f317(f242(x100071,x100071),x100072),x100075)),f317(f317(f173(f906(x100071,x100071),a897),f317(a102,x100074)),x100073)))+P1(f317(f317(f319(f906(x100071,x100071)),f317(f317(f242(x100071,x100071),x100072),f621(x100073,x100074,x100075,x100072,x100071))),f317(f317(f173(f906(x100071,x100071),a897),x100074),x100073)))
% 199.17/199.23 [10013]P1(f317(f60(x100131,x100131,x100132,f857(x100133,x100134,x100135,x100132,x100131),f859(x100133,x100134,x100135,x100132,x100131)),x100133))+~P1(f317(f56(x100131,x100132,f317(f317(f299(x100131),x100135),x100134)),x100133))
% 199.17/199.23 [10014]P1(f317(f60(x100141,x100141,x100142,f860(x100143,x100144,x100145,x100142,x100141),f861(x100143,x100144,x100145,x100142,x100141)),x100143))+~P1(f317(f56(x100141,x100142,f317(f317(f299(x100141),x100145),x100144)),x100143))
% 199.17/199.23 [10023]~P108(x100231)+P11(x100231,f317(f317(f144(x100232,x100231),x100233),f317(f126(x100232,f317(f317(f9(x100232,x100231,a897),f317(f317(f10(x100231,f907(x100231,a897),x100232),a314),x100233)),f317(x100234,x100235))),x100235)))
% 199.17/199.23 [10067]~P1(f317(f317(f319(x100672),x100675),f317(f274(x100671,x100672,x100674),x100673)))+P1(f317(f317(f319(f906(x100671,x100672)),f317(f317(f242(x100671,x100672),f491(x100673,x100674,x100671,x100675,x100672)),x100675)),x100674))
% 199.17/199.23 [10068]~P1(f317(f317(f319(x100682),x100685),f317(f274(x100681,x100682,x100684),x100683)))+P1(f317(f317(f319(f906(x100681,x100682)),f317(f317(f242(x100681,x100682),f496(x100683,x100684,x100681,x100685,x100682)),x100685)),x100684))
% 199.17/199.23 [10073]~P1(f317(f317(f319(f906(x100731,x100731)),f317(f317(f242(x100731,x100731),x100735),x100734)),f317(f317(f173(f906(x100731,x100731),a897),f317(a102,x100733)),x100732)))+P1(f317(f317(f319(f906(x100731,x100731)),f317(f317(f242(x100731,x100731),f621(x100732,x100733,x100734,x100735,x100731)),x100734)),x100732))
% 199.17/199.23 [10085]~P1(f317(f317(f319(f906(x100851,x100851)),f317(f317(f242(x100851,x100851),x100855),x100854)),f317(f317(f173(f906(x100851,x100851),a897),f317(a102,x100853)),x100852)))+P1(f317(f317(f319(f906(x100851,x100851)),f317(f317(f242(x100851,x100851),f620(x100852,x100853,x100854,x100855,x100851)),x100854)),f317(f317(f173(f906(x100851,x100851),a897),x100853),x100852)))
% 199.17/199.23 [10086]~P1(f317(f317(f319(f906(x100861,x100861)),f317(f317(f242(x100861,x100861),x100865),x100864)),f317(f317(f173(f906(x100861,x100861),a897),f317(a102,x100863)),x100862)))+P1(f317(f317(f319(f906(x100861,x100861)),f317(f317(f242(x100861,x100861),f622(x100862,x100863,x100864,x100865,x100861)),x100864)),f317(f317(f173(f906(x100861,x100861),a897),x100863),x100862)))
% 199.17/199.23 [10087]~P1(f317(f317(f319(f906(f902(x100871),f902(x100871))),f317(f317(f242(f902(x100871),f902(x100871)),x100875),f317(f317(f141(x100871),x100874),x100873))),f148(x100871,x100872)))+P1(f317(f317(f319(f906(x100871,x100871)),f317(f317(f242(x100871,x100871),f633(x100872,x100873,x100874,x100875,x100871)),x100874)),x100872))
% 199.17/199.23 [7665]~E(x76653,f179(f907(x76652,a897)))+E(f317(f317(f91(f907(x76651,a897)),f317(f317(f35(x76652,f907(x76651,a897)),x76653),x76654)),x76655),x76655)
% 199.17/199.23 [7666]~E(x76663,f179(f907(x76662,a897)))+E(f317(f317(f92(f907(x76661,a897)),f317(f317(f34(x76662,f907(x76661,a897)),x76663),x76664)),x76665),x76665)
% 199.17/199.23 [8084]~E(x80843,f179(f907(x80842,a897)))+E(f317(f317(f3(f907(x80841,a897)),f317(f317(f34(x80842,f907(x80841,a897)),x80843),x80844)),x80845),f317(f317(f3(f907(x80841,a897)),f232(f907(x80841,a897))),x80845))
% 199.17/199.23 [8221]E(f317(f317(f149(x82211,f317(f317(f124(x82211),x82212),x82213)),x82214),x82215),f317(f317(f124(x82211),f317(f317(f149(x82211,x82212),x82214),x82215)),x82213))+~P1(f317(f317(f225(a901),x82214),f317(f180(f902(x82211)),x82212)))
% 199.17/199.23 [8488]E(f317(f317(f154(x84881),f317(f317(f144(a901,x84881),x84882),f129(a901,f317(f293(a901,x84883),x84884)))),x84885),f317(x84882,f317(f317(f74(a901),x84883),x84885)))+~P1(f317(f317(f225(a901),x84885),f317(f317(f3(a901),x84884),x84883)))
% 199.17/199.23 [8503]E(x85031,f2(a89))+E(f112(x85032,x85033,f317(x85034,f317(f317(f3(a89),x85031),f72(a89))),f317(f317(f9(x85032,a89,f903(f904(x85033))),x85035),x85031)),f317(f187(x85032,x85033,x85034,x85035),x85031))
% 199.17/199.23 [8524]~E(x85243,f179(f907(x85241,a897)))+E(f317(f317(f34(x85241,f907(x85242,a897)),x85243),f317(f317(f10(f907(x85242,a897),f907(x85242,a897),x85241),f317(f3(f907(x85242,a897)),x85244)),x85245)),f232(f907(x85242,a897)))
% 199.17/199.23 [8525]~E(x85253,f179(f907(x85251,a897)))+E(f317(f317(f34(x85251,f907(x85252,a897)),x85253),f317(f317(f10(f907(x85252,a897),f907(x85252,a897),x85251),f317(f92(f907(x85252,a897)),x85254)),x85255)),f232(f907(x85252,a897)))
% 199.17/199.23 [8526]~E(x85263,f179(f907(x85261,a897)))+E(f317(f317(f35(x85261,f907(x85262,a897)),x85263),f317(f317(f10(f907(x85262,a897),f907(x85262,a897),x85261),f317(f91(f907(x85262,a897)),x85264)),x85265)),f179(f907(x85262,a897)))
% 199.17/199.23 [8528]~P145(x85282)+E(f317(f317(f8(x85281,x85282),f317(f317(f10(x85282,x85282,x85281),f317(f75(x85282),x85283)),x85284)),x85285),f317(f317(f75(x85282),x85283),f317(f317(f8(x85281,x85282),x85284),x85285)))
% 199.17/199.23 [8813]E(x88131,f179(f907(x88132,a897)))+E(f317(f317(f34(x88132,f907(x88133,a897)),x88131),f317(f317(f10(f907(x88133,a897),f907(x88133,a897),x88132),f317(f3(f907(x88133,a897)),x88134)),x88135)),f317(f317(f3(f907(x88133,a897)),x88134),f317(f317(f35(x88132,f907(x88133,a897)),x88131),x88135)))
% 199.17/199.23 [8814]E(x88141,f179(f907(x88142,a897)))+E(f317(f317(f34(x88142,f907(x88143,a897)),x88141),f317(f317(f10(f907(x88143,a897),f907(x88143,a897),x88142),f317(f92(f907(x88143,a897)),x88144)),x88145)),f317(f317(f92(f907(x88143,a897)),x88144),f317(f317(f34(x88142,f907(x88143,a897)),x88141),x88145)))
% 199.17/199.23 [8815]E(x88151,f179(f907(x88152,a897)))+E(f317(f317(f35(x88152,f907(x88153,a897)),x88151),f317(f317(f10(f907(x88153,a897),f907(x88153,a897),x88152),f317(f91(f907(x88153,a897)),x88154)),x88155)),f317(f317(f91(f907(x88153,a897)),x88154),f317(f317(f35(x88152,f907(x88153,a897)),x88151),x88155)))
% 199.17/199.23 [9018]~P1(f317(f317(f225(a901),f317(x90184,x90182)),f317(x90184,x90183)))+P1(f317(f317(f319(f906(x90181,x90181)),f317(f317(f242(x90181,x90181),x90182),x90183)),f143(x90181,f317(f317(f141(f907(x90181,a901)),x90184),x90185))))
% 199.17/199.23 [9279]~P22(x92792,x92791,x92793,f317(f317(f91(f907(x92792,a897)),x92794),x92795))+E(f317(f317(f92(f907(x92791,a897)),f317(f300(x92792,x92791,x92793),f317(f317(f3(f907(x92792,a897)),x92794),x92795))),f317(f300(x92792,x92791,x92793),f317(f317(f3(f907(x92792,a897)),x92795),x92794))),f179(f907(x92791,a897)))
% 199.17/199.23 [9541]~P22(x95413,x95411,x95415,f232(f907(x95413,a897)))+E(f317(f67(x95411,x95412,x95413,f317(f67(x95413,x95412,x95411,x95414),f85(x95413,x95411,f232(f907(x95413,a897)),x95415))),x95415),x95414)
% 199.17/199.23 [9575]~P1(f317(f317(f224(f907(x95753,a897)),f317(f274(x95751,x95753,x95754),x95752)),x95755))+P1(f317(f317(f224(f907(x95751,a897)),x95752),f317(f73(f907(x95751,a897)),f317(f274(x95753,x95751,f317(f275(x95751,x95753),x95754)),f317(f73(f907(x95753,a897)),x95755)))))
% 199.17/199.23 [9598]~P22(x95981,x95982,x95983,f317(f317(f299(x95981),x95984),x95985))+~P1(f317(f317(f319(x95982),f317(x95983,x95984)),f317(f300(x95981,x95982,x95983),f317(f317(f3(f907(x95981,a897)),x95985),f317(f317(f299(x95981),x95984),f179(f907(x95981,a897)))))))
% 199.17/199.23 [9665]P1(f317(f317(f224(f907(x96651,a897)),f317(f274(x96652,x96651,x96653),x96654)),x96655))+~P1(f317(f317(f224(f907(x96652,a897)),x96654),f317(f73(f907(x96652,a897)),f317(f274(x96651,x96652,f317(f275(x96652,x96651),x96653)),f317(f73(f907(x96651,a897)),x96655)))))
% 199.17/199.23 [9743]~P88(x97431)+P1(f317(f317(f224(x97431),f317(f70(x97431),f317(f317(f3(x97431),f317(f317(f74(x97431),x97432),x97433)),f317(f317(f74(x97431),x97434),x97435)))),f317(f317(f74(x97431),f317(f70(x97431),f317(f317(f3(x97431),x97432),x97434))),f317(f70(x97431),f317(f317(f3(x97431),x97433),x97435)))))
% 199.17/199.23 [9858]P1(f317(f317(f319(x98581),f465(x98582,x98583,x98584,x98581,x98585)),x98584))+P1(f317(f317(f224(f907(x98585,a897)),f317(f317(f35(x98581,f907(x98585,a897)),x98584),x98583)),x98582))
% 199.17/199.23 [10039]~P1(f317(f317(f224(f907(x100391,a897)),f317(x100394,f465(x100395,x100394,x100393,x100392,x100391))),x100395))+P1(f317(f317(f224(f907(x100391,a897)),f317(f317(f35(x100392,f907(x100391,a897)),x100393),x100394)),x100395))
% 199.17/199.23 [8635]E(f317(f317(f124(x86351),x86352),f317(f317(f149(x86351,x86353),f317(f317(f3(a901),x86354),f317(f180(f902(x86351)),x86352))),x86355)),f317(f317(f149(x86351,f317(f317(f124(x86351),x86352),x86353)),x86354),x86355))+P1(f317(f317(f225(a901),x86354),f317(f180(f902(x86351)),x86352)))
% 199.17/199.23 [8663]~P139(x86631)+E(f317(f317(f74(x86631),f317(f317(f75(x86631),x86632),x86633)),f317(f317(f74(x86631),f317(f317(f75(x86631),x86634),x86633)),x86635)),f317(f317(f74(x86631),f317(f317(f75(x86631),f317(f317(f74(x86631),x86632),x86634)),x86633)),x86635))
% 199.17/199.23 [9228]~P145(x92281)+E(f317(f155(x92281),f317(f317(f144(x92282,x92281),f317(f317(f10(x92281,x92281,x92282),f317(f75(x92281),x92283)),x92284)),x92285)),f317(f317(f75(x92281),x92283),f317(f155(x92281),f317(f317(f144(x92282,x92281),x92284),x92285))))
% 199.17/199.23 [9412]E(f317(f180(f902(x94121)),f317(f317(f165(x94121),f317(f317(f228(a901),f317(f180(f902(x94121)),x94122)),f317(f180(f902(x94123)),x94124))),x94122)),f317(f180(f902(x94123)),f317(f317(f165(x94123),f317(f317(f228(a901),f317(f180(f902(x94121)),x94122)),f317(f180(f902(x94123)),x94124))),x94124)))+P1(f317(x94125,f317(f317(f171(x94121,x94123),x94122),x94124)))
% 199.17/199.23 [9675]~P145(x96752)+E(f317(f317(f8(x96751,x96752),f317(f317(f9(x96751,x96752,x96752),f317(f317(f10(x96752,f907(x96752,x96752),x96751),f75(x96752)),x96753)),x96754)),x96755),f317(f317(f75(x96752),f317(f317(f8(x96751,x96752),x96753),x96755)),x96754))
% 199.17/199.23 [9676]~P62(x96762)+E(f317(f317(f8(x96761,x96762),f317(f317(f9(x96761,x96762,x96762),f317(f317(f10(x96762,f907(x96762,x96762),x96761),f280(x96762)),x96763)),x96764)),x96765),f317(f317(f280(x96762),f317(f317(f8(x96761,x96762),x96763),x96765)),x96764))
% 199.17/199.23 [9683]~P71(x96832)+E(f317(f317(f8(x96831,x96832),f317(f317(f20(x96831,x96832,x96832),f317(f317(f10(x96832,f907(x96832,x96832),x96831),f3(x96832)),x96833)),x96834)),x96835),f317(f317(f3(x96832),f317(f317(f8(x96831,x96832),x96833),x96835)),f317(f317(f8(x96831,x96832),x96834),x96835)))
% 199.17/199.23 [9684]~P72(x96842)+E(f317(f317(f8(x96841,x96842),f317(f317(f20(x96841,x96842,x96842),f317(f317(f10(x96842,f907(x96842,x96842),x96841),f74(x96842)),x96843)),x96844)),x96845),f317(f317(f74(x96842),f317(f317(f8(x96841,x96842),x96843),x96845)),f317(f317(f8(x96841,x96842),x96844),x96845)))
% 199.17/199.23 [9685]~P79(x96852)+E(f317(f317(f11(x96851,x96852),f317(f317(f20(x96851,x96852,x96852),f317(f317(f10(x96852,f907(x96852,x96852),x96851),f75(x96852)),x96853)),x96854)),x96855),f317(f317(f75(x96852),f317(f317(f11(x96851,x96852),x96853),x96855)),f317(f317(f11(x96851,x96852),x96854),x96855)))
% 199.17/199.23 [9721]~E(x97213,f179(f907(x97211,a897)))+E(f317(f317(f34(x97211,f907(x97212,a897)),x97213),f317(f317(f9(x97211,f907(x97212,a897),f907(x97212,a897)),f317(f317(f10(f907(x97212,a897),f907(f907(x97212,a897),f907(x97212,a897)),x97211),f3(f907(x97212,a897))),x97214)),x97215)),f232(f907(x97212,a897)))
% 199.17/199.23 [9722]~E(x97223,f179(f907(x97221,a897)))+E(f317(f317(f34(x97221,f907(x97222,a897)),x97223),f317(f317(f9(x97221,f907(x97222,a897),f907(x97222,a897)),f317(f317(f10(f907(x97222,a897),f907(f907(x97222,a897),f907(x97222,a897)),x97221),f92(f907(x97222,a897))),x97224)),x97225)),f232(f907(x97222,a897)))
% 199.17/199.23 [9723]~E(x97233,f179(f907(x97231,a897)))+E(f317(f317(f35(x97231,f907(x97232,a897)),x97233),f317(f317(f9(x97231,f907(x97232,a897),f907(x97232,a897)),f317(f317(f10(f907(x97232,a897),f907(f907(x97232,a897),f907(x97232,a897)),x97231),f91(f907(x97232,a897))),x97234)),x97235)),f179(f907(x97232,a897)))
% 199.17/199.23 [9751]E(x97511,f179(f907(x97512,a897)))+E(f317(f317(f34(x97512,f907(x97513,a897)),x97511),f317(f317(f9(x97512,f907(x97513,a897),f907(x97513,a897)),f317(f317(f10(f907(x97513,a897),f907(f907(x97513,a897),f907(x97513,a897)),x97512),f3(f907(x97513,a897))),x97514)),x97515)),f317(f317(f3(f907(x97513,a897)),f317(f317(f34(x97512,f907(x97513,a897)),x97511),x97514)),x97515))
% 199.17/199.23 [9752]E(x97521,f179(f907(x97522,a897)))+E(f317(f317(f34(x97522,f907(x97523,a897)),x97521),f317(f317(f9(x97522,f907(x97523,a897),f907(x97523,a897)),f317(f317(f10(f907(x97523,a897),f907(f907(x97523,a897),f907(x97523,a897)),x97522),f92(f907(x97523,a897))),x97524)),x97525)),f317(f317(f92(f907(x97523,a897)),f317(f317(f34(x97522,f907(x97523,a897)),x97521),x97524)),x97525))
% 199.17/199.23 [9753]E(x97531,f179(f907(x97532,a897)))+E(f317(f317(f35(x97532,f907(x97533,a897)),x97531),f317(f317(f9(x97532,f907(x97533,a897),f907(x97533,a897)),f317(f317(f10(f907(x97533,a897),f907(f907(x97533,a897),f907(x97533,a897)),x97532),f91(f907(x97533,a897))),x97534)),x97535)),f317(f317(f91(f907(x97533,a897)),f317(f317(f35(x97532,f907(x97533,a897)),x97531),x97534)),x97535))
% 199.17/199.23 [9284]~P1(f317(f317(f224(a901),x92841),x92844))+E(f317(f317(f3(a901),f317(f317(f74(a901),f317(f317(f75(a901),x92841),x92842)),x92843)),f317(f317(f74(a901),f317(f317(f75(a901),x92844),x92842)),x92845)),f317(f317(f3(a901),x92843),f317(f317(f74(a901),f317(f317(f75(a901),f317(f317(f3(a901),x92844),x92841)),x92842)),x92845)))
% 199.17/199.23 [9917]~P145(x99171)+E(f317(f155(x99171),f317(f317(f144(x99172,x99171),f317(f317(f9(x99172,x99171,x99171),f317(f317(f10(x99171,f907(x99171,x99171),x99172),f75(x99171)),x99173)),x99174)),x99175)),f317(f317(f75(x99171),f317(f155(x99171),f317(f317(f144(x99172,x99171),x99173),x99175))),x99174))
% 199.17/199.23 [9927]~P71(x99271)+E(f317(f155(x99271),f317(f317(f144(x99272,x99271),f317(f317(f20(x99272,x99271,x99271),f317(f317(f10(x99271,f907(x99271,x99271),x99272),f3(x99271)),x99273)),x99274)),x99275)),f317(f317(f3(x99271),f317(f155(x99271),f317(f317(f144(x99272,x99271),x99273),x99275))),f317(f155(x99271),f317(f317(f144(x99272,x99271),x99274),x99275))))
% 199.17/199.23 [9928]~P72(x99281)+E(f317(f155(x99281),f317(f317(f144(x99282,x99281),f317(f317(f20(x99282,x99281,x99281),f317(f317(f10(x99281,f907(x99281,x99281),x99282),f74(x99281)),x99283)),x99284)),x99285)),f317(f317(f74(x99281),f317(f155(x99281),f317(f317(f144(x99282,x99281),x99283),x99285))),f317(f155(x99281),f317(f317(f144(x99282,x99281),x99284),x99285))))
% 199.17/199.23 [10060]P1(f317(x100601,f317(f317(f171(x100602,x100603),x100604),x100605)))+~P1(f317(x100601,f317(f317(f171(x100602,x100603),f317(f317(f165(x100602),f317(f317(f228(a901),f317(f180(f902(x100602)),x100604)),f317(f180(f902(x100603)),x100605))),x100604)),f317(f317(f165(x100603),f317(f317(f228(a901),f317(f180(f902(x100602)),x100604)),f317(f180(f902(x100603)),x100605))),x100605))))
% 199.17/199.23 [10336]~P1(f317(f317(f319(f906(x103362,x103361)),f317(f317(f242(x103362,x103361),x103364),x103365)),f317(f275(x103361,x103362),x103363)))+P1(f317(f317(f233(x103361,x103362,f317(f317(f9(x103361,f907(f906(x103361,x103362),a897),f907(x103362,a897)),f317(f317(f10(f907(x103362,f907(f907(f906(x103361,x103362),a897),a897)),f907(f907(f906(x103361,x103362),a897),f907(x103362,a897)),x103361),f9(x103362,f907(f906(x103361,x103362),a897),a897)),f317(f317(f10(f907(x103362,f906(x103361,x103362)),f907(x103362,f907(f907(f906(x103361,x103362),a897),a897)),x103361),f317(f10(f906(x103361,x103362),f907(f907(f906(x103361,x103362),a897),a897),x103362),f319(f906(x103361,x103362)))),f242(x103361,x103362)))),x103363)),x103364),x103365))
% 199.17/199.23 [10355]P1(f317(f317(f319(f906(x103551,x103552)),f317(f317(f242(x103551,x103552),x103553),x103554)),f317(f275(x103552,x103551),x103555)))+~P1(f317(f317(f233(x103552,x103551,f317(f317(f9(x103552,f907(f906(x103552,x103551),a897),f907(x103551,a897)),f317(f317(f10(f907(x103551,f907(f907(f906(x103552,x103551),a897),a897)),f907(f907(f906(x103552,x103551),a897),f907(x103551,a897)),x103552),f9(x103551,f907(f906(x103552,x103551),a897),a897)),f317(f317(f10(f907(x103551,f906(x103552,x103551)),f907(x103551,f907(f907(f906(x103552,x103551),a897),a897)),x103552),f317(f10(f906(x103552,x103551),f907(f907(f906(x103552,x103551),a897),a897),x103551),f319(f906(x103552,x103551)))),f242(x103552,x103551)))),x103555)),x103553),x103554))
% 199.17/199.23 [9540]~P1(f317(f317(f224(a901),x95404),x95401))+E(f317(f317(f3(a901),f317(f317(f74(a901),f317(f317(f75(a901),x95401),x95402)),x95403)),f317(f317(f74(a901),f317(f317(f75(a901),x95404),x95402)),x95405)),f317(f317(f3(a901),f317(f317(f74(a901),f317(f317(f75(a901),f317(f317(f3(a901),x95401),x95404)),x95402)),x95403)),x95405))
% 199.17/199.23 [7367]E(x73671,x73672)+~E(f211(x73673,x73674,x73675,x73671),f211(x73673,x73674,x73676,x73672))
% 199.17/199.23 [7368]E(x73681,x73682)+~E(f211(x73683,x73684,x73681,x73685),f211(x73683,x73684,x73682,x73686))
% 199.17/199.23 [8472]~P17(x84725,x84721,x84722,x84726)+E(f317(f67(x84721,x84721,x84721,f317(x84722,x84723)),f317(x84722,x84724)),f317(f67(x84721,x84721,x84721,f317(x84722,x84724)),f317(x84722,x84723)))
% 199.17/199.23 [8705]~P54(x87054,x87055,x87052,x87051,x87056)+E(f317(x87051,f317(x87052,x87053)),x87053)
% 199.17/199.23 [8860]P22(x88601,x88602,x88603,x88604)+~P22(x88601,x88605,f317(f67(x88602,x88605,x88601,x88606),x88603),x88604)
% 199.17/199.23 [8940]~E(x89406,x89404)+E(f317(f69(x89401,x89402,x89403,x89404,x89405),x89406),x89405)
% 199.17/199.23 [8946]E(x89461,x89462)+E(f317(f69(x89463,x89464,x89465,x89462,x89466),x89461),f317(x89465,x89461))
% 199.17/199.23 [8959]~P22(x89594,x89592,f317(f67(x89591,x89592,x89594,x89593),x89595),x89596)+P22(x89591,x89592,x89593,f317(f300(x89594,x89591,x89595),x89596))
% 199.17/199.23 [9686]P1(f317(f28(x96861),x96862))+~P1(f317(f60(x96861,x96863,x96864,x96865,x96862),x96866))
% 199.17/199.23 [9695]~P1(f317(f317(f319(x96954),x96953),f289(x96954,x96955,x96951,x96952,x96956)))+P1(f317(f317(x96951,x96952),x96953))
% 199.17/199.23 [9696]~P1(f317(f317(f319(x96964),x96963),f286(x96964,x96961,x96965,x96962,x96966)))+P1(f317(f317(x96961,x96962),x96963))
% 199.17/199.23 [9697]~P1(f317(f317(f319(x96974),x96972),f289(x96974,x96971,x96975,x96976,x96973)))+P1(f317(f317(x96971,x96972),x96973))
% 199.17/199.23 [9698]~P1(f317(f317(f319(x96984),x96982),f286(x96984,x96985,x96981,x96986,x96983)))+P1(f317(f317(x96981,x96982),x96983))
% 199.17/199.23 [10192]P10(x101921,x101922,x101923,x101924,x101925,x101926)+~E(f317(f317(x101926,f832(x101923,x101926,x101925,x101922,x101924,x101921)),f833(x101923,x101926,x101925,x101922,x101924,x101921)),f317(f317(x101926,f831(x101923,x101926,x101925,x101922,x101924,x101921)),f834(x101923,x101926,x101925,x101922,x101924,x101921)))
% 199.17/199.23 [5844]E(x58441,x58442)+~E(f317(f317(f242(x58443,x58444),x58445),x58441),f317(f317(f242(x58443,x58444),x58446),x58442))
% 199.17/199.23 [5846]E(x58461,x58462)+~E(f317(f317(f242(x58463,x58464),x58461),x58465),f317(f317(f242(x58463,x58464),x58462),x58466))
% 199.17/199.23 [5991]~P14(x59915,x59916,x59911)+E(f317(f317(x59911,x59912),f317(f317(x59911,x59913),x59914)),f317(f317(x59911,x59913),f317(f317(x59911,x59912),x59914)))
% 199.17/199.23 [7431]~P29(x74314,x74311,f317(f317(f141(x74314),x74312),x74315),f317(f317(f141(x74314),x74313),x74316))+P1(f317(f317(x74311,x74312),x74313))
% 199.17/199.23 [7780]P29(x77801,x77802,x77803,x77804)+~P29(x77801,x77802,f317(f317(f141(x77801),x77805),x77803),f317(f317(f141(x77801),x77806),x77804))
% 199.17/199.23 [8803]~P54(x88035,x88031,x88032,x88036,x88034)+P1(f317(f317(f319(x88031),f317(x88032,x88033)),x88034))
% 199.17/199.23 [9008]~E(x90083,f317(f317(f141(x90081),x90085),x90086))+P1(f317(f317(f319(f906(f902(x90081),f902(x90081))),f317(f317(f242(f902(x90081),f902(x90081)),x90082),f317(f317(f124(x90081),x90082),x90083))),f137(x90081,x90084)))
% 199.17/199.23 [9234]~P31(x92341,x92342,x92343,x92345,x92346)+P31(x92341,x92342,x92343,f317(f317(f165(x92341),x92344),x92345),f317(f317(f165(x92342),x92344),x92346))
% 199.17/199.23 [9235]~P31(x92351,x92352,x92353,x92355,x92356)+P31(x92351,x92352,x92353,f317(f317(f128(x92351),x92354),x92355),f317(f317(f128(x92352),x92354),x92356))
% 199.17/199.23 [9509]E(f317(f300(x95091,x95092,f69(x95091,x95092,x95093,x95094,x95095)),x95096),f317(f300(x95091,x95092,x95093),x95096))+P1(f317(f317(f319(x95091),x95094),x95096))
% 199.17/199.23 [9512]E(f317(f317(f144(x95121,x95122),f69(x95121,x95122,x95123,x95124,x95125)),x95126),f317(f317(f144(x95121,x95122),x95123),x95126))+P1(f317(f317(f319(x95121),x95124),f317(f162(x95121),x95126)))
% 199.17/199.23 [9763]~P21(x97634,x97632,x97635,x97633,x97636,x97631)+E(f317(x97631,f179(f907(x97632,a897))),x97633)
% 199.17/199.23 [10008]~E(f317(x100084,f317(f241(x100081,x100083),x100085)),f317(x100086,f317(f241(x100081,x100083),x100085)))+E(f317(f248(x100081,x100082,x100083,x100083,x100084,f25(x100083)),x100085),f317(f248(x100081,x100082,x100083,x100083,x100086,f25(x100083)),x100085))
% 199.17/199.23 [10009]~E(f317(x100094,f317(f246(x100091,x100092),x100095)),f317(x100096,f317(f246(x100091,x100092),x100095)))+E(f317(f248(x100091,x100091,x100092,x100093,f25(x100091),x100094),x100095),f317(f248(x100091,x100091,x100092,x100093,f25(x100091),x100096),x100095))
% 199.17/199.23 [10057]~E(f317(f248(x100572,x100576,x100573,x100573,x100571,f25(x100573)),x100574),f317(f248(x100572,x100576,x100573,x100573,x100575,f25(x100573)),x100574))+E(f317(x100571,f317(f241(x100572,x100573),x100574)),f317(x100575,f317(f241(x100572,x100573),x100574)))
% 199.17/199.23 [10058]~E(f317(f248(x100582,x100582,x100583,x100586,f25(x100582),x100581),x100584),f317(f248(x100582,x100582,x100583,x100586,f25(x100582),x100585),x100584))+E(f317(x100581,f317(f246(x100582,x100583),x100584)),f317(x100585,f317(f246(x100582,x100583),x100584)))
% 199.17/199.23 [8905]P1(f317(f317(f319(x89051),x89052),x89053))+~P1(f317(f317(f319(f906(x89051,x89054)),f317(f317(f242(x89051,x89054),x89052),x89055)),f317(f317(f244(x89051,x89054),x89053),x89056)))
% 199.17/199.23 [8921]P1(f317(f317(f319(x89211),x89212),f317(x89213,x89214)))+~P1(f317(f317(f319(f906(x89215,x89211)),f317(f317(f242(x89215,x89211),x89214),x89212)),f317(f317(f244(x89215,x89211),x89216),x89213)))
% 199.17/199.23 [9359]P1(f317(f317(f319(f906(x93591,x93591)),f317(f317(f242(x93591,x93591),f317(x93592,x93593)),f317(x93592,x93594))),x93595))+~P1(f317(f317(f319(f906(x93596,x93596)),f317(f317(f242(x93596,x93596),x93593),x93594)),f317(f317(f277(x93591,x93596),x93595),x93592)))
% 199.17/199.23 [9379]~P1(f317(f317(f319(f906(x93794,x93794)),f317(f317(f242(x93794,x93794),f317(x93796,x93792)),f317(x93796,x93793))),x93795))+P1(f317(f317(f319(f906(x93791,x93791)),f317(f317(f242(x93791,x93791),x93792),x93793)),f317(f317(f277(x93794,x93791),x93795),x93796)))
% 199.17/199.23 [10059]E(f317(f317(f242(x100591,x100592),f627(x100593,x100594,x100595,x100596,x100592,x100591)),f628(x100593,x100594,x100595,x100596,x100592,x100591)),x100596)+~P1(f317(f317(f319(f906(x100591,x100592)),x100596),f317(f317(f278(x100591,x100595,x100592),x100594),x100593)))
% 199.17/199.23 [10271]~P1(f317(f317(f319(f906(x102711,x102716)),x102715),f317(f317(f278(x102711,x102712,x102716),x102714),x102713)))+P1(f317(f317(f319(f906(x102711,x102712)),f317(f317(f242(x102711,x102712),f627(x102713,x102714,x102712,x102715,x102716,x102711)),f629(x102713,x102714,x102712,x102715,x102716,x102711))),x102714))
% 199.17/199.23 [10272]~P1(f317(f317(f319(f906(x102726,x102722)),x102725),f317(f317(f278(x102726,x102721,x102722),x102724),x102723)))+P1(f317(f317(f319(f906(x102721,x102722)),f317(f317(f242(x102721,x102722),f629(x102723,x102724,x102721,x102725,x102722,x102726)),f628(x102723,x102724,x102721,x102725,x102722,x102726))),x102723))
% 199.17/199.23 [10273]P10(x102731,x102732,x102733,x102734,x102735,x102736)+P1(f317(f317(f319(f906(x102732,x102732)),f317(f317(f242(x102732,x102732),f834(x102733,x102736,x102735,x102732,x102734,x102731)),f833(x102733,x102736,x102735,x102732,x102734,x102731))),x102735))
% 199.17/199.23 [10274]P10(x102741,x102742,x102743,x102744,x102745,x102746)+P1(f317(f317(f319(f906(x102741,x102741)),f317(f317(f242(x102741,x102741),f831(x102743,x102746,x102745,x102742,x102744,x102741)),f832(x102743,x102746,x102745,x102742,x102744,x102741))),x102744))
% 199.17/199.23 [7850]~P3(x78502)+E(f317(f317(f34(x78501,x78502),x78503),f317(f317(f9(x78501,x78504,x78502),x78505),x78506)),f317(f317(f317(f34(x78501,f907(x78504,x78502)),x78503),x78505),x78506))
% 199.17/199.23 [7851]~P3(x78512)+E(f317(f317(f35(x78511,x78512),x78513),f317(f317(f9(x78511,x78514,x78512),x78515),x78516)),f317(f317(f317(f35(x78511,f907(x78514,x78512)),x78513),x78515),x78516))
% 199.17/199.23 [8614]E(f317(f317(f35(x86141,f907(x86142,a897)),x86143),f317(f317(f10(f907(x86142,a897),f907(x86142,a897),x86141),f317(f299(x86142),x86144)),x86145)),f317(f317(f299(x86142),x86144),f317(f317(f35(x86141,f907(x86142,a897)),x86143),x86145)))+~P1(f317(f317(f319(x86141),x86146),x86143))
% 199.17/199.23 [9061]~P3(x90612)+E(f317(f317(f34(x90611,x90612),x90613),f317(f317(f10(f907(x90614,x90612),x90612,x90611),f317(f34(x90614,x90612),x90615)),f317(f9(x90614,x90611,x90612),x90616))),f317(f317(f34(x90614,x90612),x90615),f317(f317(f10(f907(x90611,x90612),x90612,x90614),f317(f34(x90611,x90612),x90613)),x90616)))
% 199.17/199.23 [9062]~P3(x90622)+E(f317(f317(f35(x90621,x90622),x90623),f317(f317(f10(f907(x90624,x90622),x90622,x90621),f317(f35(x90624,x90622),x90625)),f317(f9(x90624,x90621,x90622),x90626))),f317(f317(f35(x90624,x90622),x90625),f317(f317(f10(f907(x90621,x90622),x90622,x90624),f317(f35(x90621,x90622),x90623)),x90626)))
% 199.17/199.23 [9262]P1(f317(f317(f319(x92621),x92622),f317(f162(x92621),x92623)))+~P1(f317(f317(f319(f906(x92624,x92621)),f317(f317(f242(x92624,x92621),x92625),x92622)),f317(f162(f906(x92624,x92621)),f317(f317(f171(x92624,x92621),x92626),x92623))))
% 199.17/199.23 [9263]P1(f317(f317(f319(x92631),x92632),f317(f162(x92631),x92633)))+~P1(f317(f317(f319(f906(x92631,x92634)),f317(f317(f242(x92631,x92634),x92632),x92635)),f317(f162(f906(x92631,x92634)),f317(f317(f171(x92631,x92634),x92633),x92636))))
% 199.17/199.23 [9375]P1(f317(f317(f224(f907(x93751,a897)),f317(f274(x93752,x93751,x93753),x93754)),x93755))+~P1(f317(f317(f224(f907(f906(x93752,x93751),a897)),x93753),f317(f317(f244(x93752,x93751),x93756),f317(f18(f907(x93751,a897),x93752),x93755))))
% 199.17/199.23 [9380]~P23(x93804,x93802,x93805,f232(f907(x93804,a897)),f232(f907(x93802,a897)))+E(f317(f317(f34(x93801,f907(x93802,a897)),x93803),f317(f317(f10(f907(x93804,a897),f907(x93802,a897),x93801),f300(x93804,x93802,x93805)),x93806)),f317(f300(x93804,x93802,x93805),f317(f317(f34(x93801,f907(x93804,a897)),x93803),x93806)))
% 199.17/199.23 [9576]P1(f317(f317(f319(f906(f902(x95761),f902(x95761))),f317(f317(f242(f902(x95761),f902(x95761)),f317(f317(f141(x95761),x95762),x95763)),f317(f317(f141(x95761),x95764),x95765))),f137(x95761,x95766)))+~P1(f317(f317(f319(f906(x95761,x95761)),f317(f317(f242(x95761,x95761),x95762),x95764)),x95766))
% 199.17/199.23 [10056]E(f317(f317(f242(x100561,x100562),f575(x100563,x100564,x100565,x100562,x100561,x100566)),f576(x100563,x100564,x100565,x100562,x100561,x100566)),x100566)+P1(f317(f317(f319(x100565),x100564),f317(f317(f247(x100561,x100562,f907(x100565,a897)),x100563),x100566)))
% 199.17/199.23 [10061]E(f317(f317(f242(x100611,x100612),f577(x100613,x100614,x100612,x100611,x100615,x100616)),f578(x100613,x100614,x100612,x100611,x100615,x100616)),x100613)+~P1(f317(f317(f319(x100616),x100615),f317(f317(f247(x100611,x100612,f907(x100616,a897)),x100614),x100613)))
% 199.17/199.23 [10206]P1(f317(f317(f319(x102061),x102062),f317(f317(x102063,f577(x102064,x102063,x102065,x102066,x102062,x102061)),f578(x102064,x102063,x102065,x102066,x102062,x102061))))+~P1(f317(f317(f319(x102061),x102062),f317(f317(f247(x102066,x102065,f907(x102061,a897)),x102063),x102064)))
% 199.17/199.23 [10242]~P1(f317(f317(f319(x102421),x102422),f317(f317(x102425,f575(x102425,x102422,x102421,x102424,x102423,x102426)),f576(x102425,x102422,x102421,x102424,x102423,x102426))))+P1(f317(f317(f319(x102421),x102422),f317(f317(f247(x102423,x102424,f907(x102421,a897)),x102425),x102426)))
% 199.17/199.23 [8514]E(x85141,x85142)+E(f317(f317(f149(x85143,f317(f317(f149(x85143,x85144),x85141),x85145)),x85142),x85146),f317(f317(f149(x85143,f317(f317(f149(x85143,x85144),x85142),x85146)),x85141),x85145))
% 199.17/199.23 [9649]~P1(f317(f317(f319(x96493),x96496),x96495))+E(f317(f317(f299(x96491),x96492),f317(f300(x96493,x96491,x96494),f317(f317(f3(f907(x96493,a897)),x96495),f317(f317(f299(x96493),x96496),f179(f907(x96493,a897)))))),f317(f300(x96493,x96491,f69(x96493,x96491,x96494,x96496,x96492)),x96495))
% 199.17/199.23 [9140]~P1(f317(f317(x91404,x91405),x91406))+P1(f317(f317(f317(f317(f91(f907(x91401,f907(x91402,a897))),x91403),x91404),x91405),x91406))
% 199.17/199.23 [9142]~P1(f317(f317(x91423,x91425),x91426))+P1(f317(f317(f317(f317(f91(f907(x91421,f907(x91422,a897))),x91423),x91424),x91425),x91426))
% 199.17/199.23 [9433]P1(f317(f317(x94331,x94332),x94333))+~P1(f317(f317(f317(f317(f92(f907(x94334,f907(x94335,a897))),x94336),x94331),x94332),x94333))
% 199.17/199.23 [9434]P1(f317(f317(x94341,x94342),x94343))+~P1(f317(f317(f317(f317(f92(f907(x94344,f907(x94345,a897))),x94341),x94346),x94342),x94343))
% 199.17/199.23 [9905]~P72(x99052)+E(f317(f317(f8(x99051,x99052),f317(f317(f9(x99051,f907(x99053,a897),x99052),f317(f317(f10(f907(x99053,x99052),f907(f907(x99053,a897),x99052),x99051),f8(x99053,x99052)),x99054)),x99055)),x99056),f317(f317(f8(f906(x99051,x99053),x99052),f317(f247(x99051,x99053,x99052),x99054)),f317(f317(f244(x99051,x99053),x99056),f317(f18(f907(x99053,a897),x99051),x99055))))
% 199.17/199.23 [9906]~P79(x99062)+E(f317(f317(f11(x99061,x99062),f317(f317(f9(x99061,f907(x99063,a897),x99062),f317(f317(f10(f907(x99063,x99062),f907(f907(x99063,a897),x99062),x99061),f11(x99063,x99062)),x99064)),x99065)),x99066),f317(f317(f11(f906(x99061,x99063),x99062),f317(f247(x99061,x99063,x99062),x99064)),f317(f317(f244(x99061,x99063),x99066),f317(f18(f907(x99063,a897),x99061),x99065))))
% 199.17/199.23 [10032]~P72(x100322)+E(f317(f317(f8(x100321,x100322),f317(f317(f9(x100321,f907(x100323,a897),x100322),f317(f317(f10(f907(x100323,x100322),f907(f907(x100323,a897),x100322),x100321),f8(x100323,x100322)),f317(f9(x100323,x100321,x100322),x100324))),x100325)),x100326),f317(f317(f8(x100323,x100322),f317(f317(f9(x100323,f907(x100321,a897),x100322),f317(f317(f10(f907(x100321,x100322),f907(f907(x100321,a897),x100322),x100323),f8(x100321,x100322)),x100324)),x100326)),x100325))
% 199.17/199.23 [10372]~P1(f317(f317(f319(f906(x103721,x103722)),f317(f317(f242(x103721,x103722),x103725),x103726)),f317(f317(f91(f907(f906(x103721,x103722),a897)),x103723),x103724)))+P1(f317(f317(f317(f317(f91(f907(x103721,f907(x103722,a897))),f317(f317(f9(x103721,f907(f906(x103721,x103722),a897),f907(x103722,a897)),f317(f317(f10(f907(x103722,f907(f907(f906(x103721,x103722),a897),a897)),f907(f907(f906(x103721,x103722),a897),f907(x103722,a897)),x103721),f9(x103722,f907(f906(x103721,x103722),a897),a897)),f317(f317(f10(f907(x103722,f906(x103721,x103722)),f907(x103722,f907(f907(f906(x103721,x103722),a897),a897)),x103721),f317(f10(f906(x103721,x103722),f907(f907(f906(x103721,x103722),a897),a897),x103722),f319(f906(x103721,x103722)))),f242(x103721,x103722)))),x103723)),f317(f317(f9(x103721,f907(f906(x103721,x103722),a897),f907(x103722,a897)),f317(f317(f10(f907(x103722,f907(f907(f906(x103721,x103722),a897),a897)),f907(f907(f906(x103721,x103722),a897),f907(x103722,a897)),x103721),f9(x103722,f907(f906(x103721,x103722),a897),a897)),f317(f317(f10(f907(x103722,f906(x103721,x103722)),f907(x103722,f907(f907(f906(x103721,x103722),a897),a897)),x103721),f317(f10(f906(x103721,x103722),f907(f907(f906(x103721,x103722),a897),a897),x103722),f319(f906(x103721,x103722)))),f242(x103721,x103722)))),x103724)),x103725),x103726))
% 199.17/199.23 [10373]~P1(f317(f317(f319(f906(x103731,x103732)),f317(f317(f242(x103731,x103732),x103735),x103736)),f317(f317(f92(f907(f906(x103731,x103732),a897)),x103733),x103734)))+P1(f317(f317(f317(f317(f92(f907(x103731,f907(x103732,a897))),f317(f317(f9(x103731,f907(f906(x103731,x103732),a897),f907(x103732,a897)),f317(f317(f10(f907(x103732,f907(f907(f906(x103731,x103732),a897),a897)),f907(f907(f906(x103731,x103732),a897),f907(x103732,a897)),x103731),f9(x103732,f907(f906(x103731,x103732),a897),a897)),f317(f317(f10(f907(x103732,f906(x103731,x103732)),f907(x103732,f907(f907(f906(x103731,x103732),a897),a897)),x103731),f317(f10(f906(x103731,x103732),f907(f907(f906(x103731,x103732),a897),a897),x103732),f319(f906(x103731,x103732)))),f242(x103731,x103732)))),x103733)),f317(f317(f9(x103731,f907(f906(x103731,x103732),a897),f907(x103732,a897)),f317(f317(f10(f907(x103732,f907(f907(f906(x103731,x103732),a897),a897)),f907(f907(f906(x103731,x103732),a897),f907(x103732,a897)),x103731),f9(x103732,f907(f906(x103731,x103732),a897),a897)),f317(f317(f10(f907(x103732,f906(x103731,x103732)),f907(x103732,f907(f907(f906(x103731,x103732),a897),a897)),x103731),f317(f10(f906(x103731,x103732),f907(f907(f906(x103731,x103732),a897),a897),x103732),f319(f906(x103731,x103732)))),f242(x103731,x103732)))),x103734)),x103735),x103736))
% 199.17/199.23 [10386]P1(f317(f317(f319(f906(x103861,x103862)),f317(f317(f242(x103861,x103862),x103863),x103864)),f317(f317(f91(f907(f906(x103861,x103862),a897)),x103865),x103866)))+~P1(f317(f317(f317(f317(f91(f907(x103861,f907(x103862,a897))),f317(f317(f9(x103861,f907(f906(x103861,x103862),a897),f907(x103862,a897)),f317(f317(f10(f907(x103862,f907(f907(f906(x103861,x103862),a897),a897)),f907(f907(f906(x103861,x103862),a897),f907(x103862,a897)),x103861),f9(x103862,f907(f906(x103861,x103862),a897),a897)),f317(f317(f10(f907(x103862,f906(x103861,x103862)),f907(x103862,f907(f907(f906(x103861,x103862),a897),a897)),x103861),f317(f10(f906(x103861,x103862),f907(f907(f906(x103861,x103862),a897),a897),x103862),f319(f906(x103861,x103862)))),f242(x103861,x103862)))),x103865)),f317(f317(f9(x103861,f907(f906(x103861,x103862),a897),f907(x103862,a897)),f317(f317(f10(f907(x103862,f907(f907(f906(x103861,x103862),a897),a897)),f907(f907(f906(x103861,x103862),a897),f907(x103862,a897)),x103861),f9(x103862,f907(f906(x103861,x103862),a897),a897)),f317(f317(f10(f907(x103862,f906(x103861,x103862)),f907(x103862,f907(f907(f906(x103861,x103862),a897),a897)),x103861),f317(f10(f906(x103861,x103862),f907(f907(f906(x103861,x103862),a897),a897),x103862),f319(f906(x103861,x103862)))),f242(x103861,x103862)))),x103866)),x103863),x103864))
% 199.17/199.23 [10387]P1(f317(f317(f319(f906(x103871,x103872)),f317(f317(f242(x103871,x103872),x103873),x103874)),f317(f317(f92(f907(f906(x103871,x103872),a897)),x103875),x103876)))+~P1(f317(f317(f317(f317(f92(f907(x103871,f907(x103872,a897))),f317(f317(f9(x103871,f907(f906(x103871,x103872),a897),f907(x103872,a897)),f317(f317(f10(f907(x103872,f907(f907(f906(x103871,x103872),a897),a897)),f907(f907(f906(x103871,x103872),a897),f907(x103872,a897)),x103871),f9(x103872,f907(f906(x103871,x103872),a897),a897)),f317(f317(f10(f907(x103872,f906(x103871,x103872)),f907(x103872,f907(f907(f906(x103871,x103872),a897),a897)),x103871),f317(f10(f906(x103871,x103872),f907(f907(f906(x103871,x103872),a897),a897),x103872),f319(f906(x103871,x103872)))),f242(x103871,x103872)))),x103875)),f317(f317(f9(x103871,f907(f906(x103871,x103872),a897),f907(x103872,a897)),f317(f317(f10(f907(x103872,f907(f907(f906(x103871,x103872),a897),a897)),f907(f907(f906(x103871,x103872),a897),f907(x103872,a897)),x103871),f9(x103872,f907(f906(x103871,x103872),a897),a897)),f317(f317(f10(f907(x103872,f906(x103871,x103872)),f907(x103872,f907(f907(f906(x103871,x103872),a897),a897)),x103871),f317(f10(f906(x103871,x103872),f907(f907(f906(x103871,x103872),a897),a897),x103872),f319(f906(x103871,x103872)))),f242(x103871,x103872)))),x103876)),x103873),x103874))
% 199.17/199.23 [10361]~P1(f317(f317(f319(f906(x103612,x103613)),f317(f317(f242(x103612,x103613),x103615),x103616)),f317(f317(f34(x103611,f907(f906(x103612,x103613),a897)),f232(f907(x103611,a897))),x103614)))+P1(f317(f317(f317(f317(f34(x103611,f907(x103612,f907(x103613,a897))),f232(f907(x103611,a897))),f317(f317(f10(f907(f906(x103612,x103613),a897),f907(x103612,f907(x103613,a897)),x103611),f317(f9(x103612,f907(f906(x103612,x103613),a897),f907(x103613,a897)),f317(f317(f10(f907(x103613,f907(f907(f906(x103612,x103613),a897),a897)),f907(f907(f906(x103612,x103613),a897),f907(x103613,a897)),x103612),f9(x103613,f907(f906(x103612,x103613),a897),a897)),f317(f317(f10(f907(x103613,f906(x103612,x103613)),f907(x103613,f907(f907(f906(x103612,x103613),a897),a897)),x103612),f317(f10(f906(x103612,x103613),f907(f907(f906(x103612,x103613),a897),a897),x103613),f319(f906(x103612,x103613)))),f242(x103612,x103613))))),x103614)),x103615),x103616))
% 199.17/199.23 [10362]~P1(f317(f317(f319(f906(x103622,x103623)),f317(f317(f242(x103622,x103623),x103625),x103626)),f317(f317(f35(x103621,f907(f906(x103622,x103623),a897)),f232(f907(x103621,a897))),x103624)))+P1(f317(f317(f317(f317(f35(x103621,f907(x103622,f907(x103623,a897))),f232(f907(x103621,a897))),f317(f317(f10(f907(f906(x103622,x103623),a897),f907(x103622,f907(x103623,a897)),x103621),f317(f9(x103622,f907(f906(x103622,x103623),a897),f907(x103623,a897)),f317(f317(f10(f907(x103623,f907(f907(f906(x103622,x103623),a897),a897)),f907(f907(f906(x103622,x103623),a897),f907(x103623,a897)),x103622),f9(x103623,f907(f906(x103622,x103623),a897),a897)),f317(f317(f10(f907(x103623,f906(x103622,x103623)),f907(x103623,f907(f907(f906(x103622,x103623),a897),a897)),x103622),f317(f10(f906(x103622,x103623),f907(f907(f906(x103622,x103623),a897),a897),x103623),f319(f906(x103622,x103623)))),f242(x103622,x103623))))),x103624)),x103625),x103626))
% 199.17/199.23 [10376]P1(f317(f317(f319(f906(x103761,x103762)),f317(f317(f242(x103761,x103762),x103763),x103764)),f317(f317(f34(x103765,f907(f906(x103761,x103762),a897)),f232(f907(x103765,a897))),x103766)))+~P1(f317(f317(f317(f317(f34(x103765,f907(x103761,f907(x103762,a897))),f232(f907(x103765,a897))),f317(f317(f10(f907(f906(x103761,x103762),a897),f907(x103761,f907(x103762,a897)),x103765),f317(f9(x103761,f907(f906(x103761,x103762),a897),f907(x103762,a897)),f317(f317(f10(f907(x103762,f907(f907(f906(x103761,x103762),a897),a897)),f907(f907(f906(x103761,x103762),a897),f907(x103762,a897)),x103761),f9(x103762,f907(f906(x103761,x103762),a897),a897)),f317(f317(f10(f907(x103762,f906(x103761,x103762)),f907(x103762,f907(f907(f906(x103761,x103762),a897),a897)),x103761),f317(f10(f906(x103761,x103762),f907(f907(f906(x103761,x103762),a897),a897),x103762),f319(f906(x103761,x103762)))),f242(x103761,x103762))))),x103766)),x103763),x103764))
% 199.17/199.23 [10377]P1(f317(f317(f319(f906(x103771,x103772)),f317(f317(f242(x103771,x103772),x103773),x103774)),f317(f317(f35(x103775,f907(f906(x103771,x103772),a897)),f232(f907(x103775,a897))),x103776)))+~P1(f317(f317(f317(f317(f35(x103775,f907(x103771,f907(x103772,a897))),f232(f907(x103775,a897))),f317(f317(f10(f907(f906(x103771,x103772),a897),f907(x103771,f907(x103772,a897)),x103775),f317(f9(x103771,f907(f906(x103771,x103772),a897),f907(x103772,a897)),f317(f317(f10(f907(x103772,f907(f907(f906(x103771,x103772),a897),a897)),f907(f907(f906(x103771,x103772),a897),f907(x103772,a897)),x103771),f9(x103772,f907(f906(x103771,x103772),a897),a897)),f317(f317(f10(f907(x103772,f906(x103771,x103772)),f907(x103772,f907(f907(f906(x103771,x103772),a897),a897)),x103771),f317(f10(f906(x103771,x103772),f907(f907(f906(x103771,x103772),a897),a897),x103772),f319(f906(x103771,x103772)))),f242(x103771,x103772))))),x103776)),x103773),x103774))
% 199.17/199.23 [7529]E(f317(x75291,f317(x75292,x75293)),f317(x75294,x75293))+~E(f317(f67(x75295,x75296,x75297,x75291),x75292),x75294)
% 199.17/199.23 [9666]E(x96661,x96662)+E(f69(x96663,x96664,f69(x96663,x96664,x96665,x96661,x96666),x96662,x96667),f69(x96663,x96664,f69(x96663,x96664,x96665,x96662,x96667),x96661,x96666))
% 199.17/199.23 [9762]~P20(x97623,x97624,x97621,x97625,x97626,x97627)+E(f317(f317(x97621,x97622),x97622),x97622)
% 199.17/199.23 [6093]~E(f317(f317(f144(x60931,x60935),x60936),x60932),f317(f317(f144(x60933,x60935),x60937),x60934))+E(f317(f180(f902(x60931)),x60932),f317(f180(f902(x60933)),x60934))
% 199.17/199.23 [8548]E(f317(x85481,f317(x85482,x85483)),f317(x85484,x85483))+~E(f317(f67(x85485,x85486,x85487,x85481),x85482),f317(f67(x85486,x85486,x85487,f25(x85486)),x85484))
% 199.17/199.23 [8894]~P31(x88944,x88945,x88941,f317(f317(f141(x88944),x88942),x88946),f317(f317(f141(x88945),x88943),x88947))+P1(f317(f317(x88941,x88942),x88943))
% 199.17/199.23 [9271]P31(x92711,x92712,x92713,x92714,x92715)+~P31(x92711,x92712,x92713,f317(f317(f141(x92711),x92716),x92714),f317(f317(f141(x92712),x92717),x92715))
% 199.17/199.23 [9941]P1(f317(f317(x99411,x99412),f548(x99413,x99412,x99414,x99411)))+~P1(f317(f317(f243(x99415,x99416,x99417,x99411,x99414),x99412),x99413))
% 199.17/199.23 [9963]P1(f317(f317(x99631,f548(x99632,x99633,x99631,x99634)),x99632))+~P1(f317(f317(f243(x99635,x99636,x99637,x99634,x99631),x99633),x99632))
% 199.17/199.23 [9016]~P18(x90166,x90161,x90163,x90167)+E(f317(f67(x90161,x90161,x90162,f317(x90163,x90164)),f317(f67(x90161,x90161,x90162,f317(x90163,x90164)),x90165)),f317(f67(x90161,x90161,x90162,f317(x90163,x90164)),x90165))
% 199.17/199.23 [9383]~P31(x93833,x93832,x93834,f317(f317(f144(x93831,x93833),x93835),x93836),x93837)+P31(x93831,x93832,f317(f317(f10(x93833,f907(x93832,a897),x93831),x93834),x93835),x93836,x93837)
% 199.17/199.23 [9409]P31(x94091,x94092,x94093,f317(f317(f144(x94094,x94091),x94095),x94096),x94097)+~P31(x94094,x94092,f317(f317(f10(x94091,f907(x94092,a897),x94094),x94093),x94095),x94096,x94097)
% 199.17/199.23 [9015]~P1(f317(f317(f319(x90151),x90152),f317(f317(x90155,x90156),x90157)))+P1(f317(f317(f319(x90151),x90152),f317(f317(f247(x90153,x90154,f907(x90151,a897)),x90155),f317(f317(f242(x90153,x90154),x90156),x90157))))
% 199.17/199.23 [9297]P1(f317(f317(f317(x92971,x92972),x92973),x92974))+~P1(f317(f317(f317(f247(x92975,x92976,f907(x92977,a897)),x92971),f317(f317(f242(x92975,x92976),x92972),x92973)),x92974))
% 199.17/199.23 [9448]P1(f317(f317(f319(x94481),f317(f317(x94482,x94483),x94484)),f317(f300(f906(x94485,x94486),x94481,f317(f247(x94485,x94486,x94481),x94482)),x94487)))+~P1(f317(f317(f319(f906(x94485,x94486)),f317(f317(f242(x94485,x94486),x94483),x94484)),x94487))
% 199.17/199.23 [9814]P1(f317(f317(f319(f906(f902(x98141),f902(x98141))),f317(f317(f242(f902(x98141),f902(x98141)),f317(f317(f124(x98141),x98142),f317(f317(f141(x98141),x98143),x98144))),f317(f317(f124(x98141),x98142),f317(f317(f141(x98141),x98145),x98146)))),f137(x98141,x98147)))+~P1(f317(f317(f319(f906(x98141,x98141)),f317(f317(f242(x98141,x98141),x98143),x98145)),x98147))
% 199.17/199.23 [9880]~P31(x98801,x98803,x98804,x98806,f317(f317(f144(x98802,x98803),x98805),x98807))+P31(x98801,x98802,f317(f317(f9(x98801,f907(x98802,x98803),f907(x98802,a897)),f317(f317(f10(f907(x98803,a897),f907(f907(x98802,x98803),f907(x98802,a897)),x98801),f10(x98803,a897,x98802)),x98804)),x98805),x98806,x98807)
% 199.17/199.23 [9967]P31(x99671,x99672,x99673,x99674,f317(f317(f144(x99675,x99672),x99676),x99677))+~P31(x99671,x99675,f317(f317(f9(x99671,f907(x99675,x99672),f907(x99675,a897)),f317(f317(f10(f907(x99672,a897),f907(f907(x99675,x99672),f907(x99675,a897)),x99671),f10(x99672,a897,x99675)),x99673)),x99676),x99674,x99677)
% 199.17/199.23 [10257]P1(f317(f317(f319(x102571),f483(x102572,x102573,x102574,x102575,x102576,x102577,x102571)),x102575))+P1(f317(f317(f317(f317(f34(x102571,f907(x102577,f907(x102576,a897))),x102575),x102574),x102573),x102572))
% 199.17/199.23 [10258]P1(f317(f317(f319(x102581),f766(x102582,x102583,x102584,x102585,x102586,x102587,x102581)),x102587))+P1(f317(f317(f317(f317(f34(x102581,f907(x102583,f907(x102582,a897))),x102587),x102586),x102585),x102584))
% 199.17/199.23 [10259]P1(f317(f317(f319(x102591),f484(x102592,x102593,x102594,x102595,x102596,x102597,x102591)),x102595))+~P1(f317(f317(f317(f317(f35(x102591,f907(x102597,f907(x102596,a897))),x102595),x102594),x102593),x102592))
% 199.17/199.23 [10260]P1(f317(f317(f319(x102601),f767(x102602,x102603,x102604,x102605,x102606,x102607,x102601)),x102605))+~P1(f317(f317(f317(f317(f35(x102601,f907(x102607,f907(x102606,a897))),x102605),x102604),x102603),x102602))
% 199.17/199.23 [10314]P1(f317(f317(f317(x103141,f484(x103142,x103143,x103141,x103144,x103145,x103146,x103147)),x103143),x103142))+~P1(f317(f317(f317(f317(f35(x103147,f907(x103146,f907(x103145,a897))),x103144),x103141),x103143),x103142))
% 199.17/199.23 [10315]P1(f317(f317(f317(x103151,f767(x103152,x103153,x103151,x103154,x103155,x103156,x103157)),x103153),x103152))+~P1(f317(f317(f317(f317(f35(x103157,f907(x103156,f907(x103155,a897))),x103154),x103151),x103153),x103152))
% 199.17/199.23 [10333]~P1(f317(f317(f317(x103335,f483(x103337,x103336,x103335,x103334,x103333,x103332,x103331)),x103336),x103337))+P1(f317(f317(f317(f317(f34(x103331,f907(x103332,f907(x103333,a897))),x103334),x103335),x103336),x103337))
% 199.17/199.23 [10334]~P1(f317(f317(f317(x103345,f766(x103343,x103342,x103347,x103346,x103345,x103344,x103341)),x103346),x103347))+P1(f317(f317(f317(f317(f34(x103341,f907(x103342,f907(x103343,a897))),x103344),x103345),x103346),x103347))
% 199.17/199.23 [10360]~P1(f317(f317(f319(f906(x103601,x103603)),f317(f317(f242(x103601,x103603),x103606),x103607)),f317(f317(f278(x103601,x103602,x103603),x103604),x103605)))+P1(f317(f317(f243(x103601,x103602,x103603,f317(f317(f9(x103601,f907(f906(x103601,x103602),a897),f907(x103602,a897)),f317(f317(f10(f907(x103602,f907(f907(f906(x103601,x103602),a897),a897)),f907(f907(f906(x103601,x103602),a897),f907(x103602,a897)),x103601),f9(x103602,f907(f906(x103601,x103602),a897),a897)),f317(f317(f10(f907(x103602,f906(x103601,x103602)),f907(x103602,f907(f907(f906(x103601,x103602),a897),a897)),x103601),f317(f10(f906(x103601,x103602),f907(f907(f906(x103601,x103602),a897),a897),x103602),f319(f906(x103601,x103602)))),f242(x103601,x103602)))),x103604),f317(f317(f9(x103602,f907(f906(x103602,x103603),a897),f907(x103603,a897)),f317(f317(f10(f907(x103603,f907(f907(f906(x103602,x103603),a897),a897)),f907(f907(f906(x103602,x103603),a897),f907(x103603,a897)),x103602),f9(x103603,f907(f906(x103602,x103603),a897),a897)),f317(f317(f10(f907(x103603,f906(x103602,x103603)),f907(x103603,f907(f907(f906(x103602,x103603),a897),a897)),x103602),f317(f10(f906(x103602,x103603),f907(f907(f906(x103602,x103603),a897),a897),x103603),f319(f906(x103602,x103603)))),f242(x103602,x103603)))),x103605)),x103606),x103607))
% 199.17/199.23 [10375]P1(f317(f317(f319(f906(x103751,x103752)),f317(f317(f242(x103751,x103752),x103753),x103754)),f317(f317(f278(x103751,x103755,x103752),x103756),x103757)))+~P1(f317(f317(f243(x103751,x103755,x103752,f317(f317(f9(x103751,f907(f906(x103751,x103755),a897),f907(x103755,a897)),f317(f317(f10(f907(x103755,f907(f907(f906(x103751,x103755),a897),a897)),f907(f907(f906(x103751,x103755),a897),f907(x103755,a897)),x103751),f9(x103755,f907(f906(x103751,x103755),a897),a897)),f317(f317(f10(f907(x103755,f906(x103751,x103755)),f907(x103755,f907(f907(f906(x103751,x103755),a897),a897)),x103751),f317(f10(f906(x103751,x103755),f907(f907(f906(x103751,x103755),a897),a897),x103755),f319(f906(x103751,x103755)))),f242(x103751,x103755)))),x103756),f317(f317(f9(x103755,f907(f906(x103755,x103752),a897),f907(x103752,a897)),f317(f317(f10(f907(x103752,f907(f907(f906(x103755,x103752),a897),a897)),f907(f907(f906(x103755,x103752),a897),f907(x103752,a897)),x103755),f9(x103752,f907(f906(x103755,x103752),a897),a897)),f317(f317(f10(f907(x103752,f906(x103755,x103752)),f907(x103752,f907(f907(f906(x103755,x103752),a897),a897)),x103755),f317(f10(f906(x103755,x103752),f907(f907(f906(x103755,x103752),a897),a897),x103752),f319(f906(x103755,x103752)))),f242(x103755,x103752)))),x103757)),x103753),x103754))
% 199.17/199.23 [10268]~P145(x102682)+E(f317(f317(f8(x102681,x102682),f317(f317(f9(x102681,f907(x102683,a897),x102682),f317(f317(f10(f907(x102683,x102682),f907(f907(x102683,a897),x102682),x102681),f8(x102683,x102682)),f317(f317(f9(x102681,f907(x102683,x102682),f907(x102683,x102682)),f317(f317(f10(f907(x102682,x102682),f907(f907(x102683,x102682),f907(x102683,x102682)),x102681),f10(x102682,x102682,x102683)),f317(f317(f10(x102682,f907(x102682,x102682),x102681),f75(x102682)),x102684))),x102685))),x102686)),x102687),f317(f317(f75(x102682),f317(f317(f8(x102681,x102682),x102684),x102687)),f317(f317(f8(x102683,x102682),x102685),x102686)))
% 199.17/199.23 [9329]~P17(x93297,x93291,x93293,x93298)+E(f317(f67(x93291,x93291,x93292,f317(x93293,x93294)),f317(f67(x93291,x93291,x93292,f317(x93293,x93295)),x93296)),f317(f67(x93291,x93291,x93292,f317(x93293,x93295)),f317(f67(x93291,x93291,x93292,f317(x93293,x93294)),x93296)))
% 199.17/199.23 [10368]E(f317(f317(f242(x103681,x103682),f317(x103683,f542(x103684,x103685,x103683,x103686,x103687,x103688,x103682,x103681))),f317(x103685,f543(x103684,x103685,x103683,x103686,x103687,x103688,x103682,x103681))),x103688)+~P1(f317(f317(f319(f906(x103681,x103682)),x103688),f317(f300(f906(x103687,x103686),f906(x103681,x103682),f248(x103687,x103681,x103686,x103682,x103683,x103685)),x103684)))
% 199.17/199.23 [10392]~P1(f317(f317(f319(f906(x103928,x103927)),x103926),f317(f300(f906(x103921,x103922),f906(x103928,x103927),f248(x103921,x103928,x103922,x103927,x103925,x103924)),x103923)))+P1(f317(f317(f319(f906(x103921,x103922)),f317(f317(f242(x103921,x103922),f542(x103923,x103924,x103925,x103922,x103921,x103926,x103927,x103928)),f543(x103923,x103924,x103925,x103922,x103921,x103926,x103927,x103928))),x103923))
% 199.17/199.23 [9804]P1(f317(f317(f319(f906(f906(x98041,x98042),f906(x98041,x98042))),f317(f317(f242(f906(x98041,x98042),f906(x98041,x98042)),f317(f317(f242(x98041,x98042),x98043),x98044)),f317(f317(f242(x98041,x98042),x98045),x98046))),f309(x98041,x98042,x98047,x98048)))+~P1(f317(f317(f319(f906(x98041,x98041)),f317(f317(f242(x98041,x98041),x98043),x98045)),x98047))
% 199.17/199.23 [10354]E(f317(f132(x103541,x103542,f317(f9(x103542,x103541,x103541),x103543),f317(x103544,x103545)),x103546),f317(x103544,f317(f132(x103547,x103542,f317(f9(x103542,x103547,x103547),x103548),x103545),x103546)))+P1(f317(f317(f319(x103542),f715(x103545,x103548,x103544,x103543,x103547,x103541,x103546,x103542)),f317(f162(x103542),x103546)))
% 199.17/199.23 [10379]~E(f317(f67(x103791,x103791,x103797,f317(x103793,f715(x103795,x103798,x103794,x103793,x103797,x103791,x103796,x103792))),x103794),f317(f67(x103797,x103791,x103797,x103794),f317(x103798,f715(x103795,x103798,x103794,x103793,x103797,x103791,x103796,x103792))))+E(f317(f132(x103791,x103792,f317(f9(x103792,x103791,x103791),x103793),f317(x103794,x103795)),x103796),f317(x103794,f317(f132(x103797,x103792,f317(f9(x103792,x103797,x103797),x103798),x103795),x103796)))
% 199.17/199.23 [8553]E(f317(x85531,f317(x85532,x85533)),f317(x85534,f317(x85535,x85533)))+~E(f317(f67(x85536,x85537,x85538,x85531),x85532),f317(f67(x85539,x85537,x85538,x85534),x85535))
% 199.17/199.23 [10174]P1(f317(f317(f319(f906(x101741,x101742)),f317(f317(f242(x101741,x101742),f317(x101743,x101744)),f317(x101745,x101746))),f317(f300(f906(x101747,x101748),f906(x101741,x101742),f248(x101747,x101741,x101748,x101742,x101743,x101745)),x101749)))+~P1(f317(f317(f319(f906(x101747,x101748)),f317(f317(f242(x101747,x101748),x101744),x101746)),x101749))
% 199.17/199.23 [8841]~E(f317(x88414,f317(x88415,x88416)),f317(x88419,f317(x884110,x884111)))+E(f317(f317(f67(x88411,x88412,x88413,x88414),x88415),x88416),f317(f317(f67(x88417,x88412,x88418,x88419),x884110),x884111))
% 199.17/199.23 [4654]~P108(x46541)+~P67(x46541)+E(f91(x46541),f178(x46541))
% 199.17/199.23 [4655]~P108(x46551)+~P103(x46551)+E(f228(x46551),f92(x46551))
% 199.17/199.23 [4898]~P119(x48981)+~P97(x48981)+E(f317(f70(x48981),f317(f94(x48981),a87)),f72(x48981))
% 199.17/199.23 [5190]E(x51901,f2(a1))+E(f76(a1,x51901),f317(f73(a1),f72(a1)))+P1(f317(f317(f225(a1),f2(a1)),x51901))
% 199.17/199.23 [5394]E(x53941,f2(a1))+E(f76(a1,x53941),f72(a1))+~P1(f317(f317(f225(a1),f2(a1)),x53941))
% 199.17/199.23 [7435]~P37(x74351)+P1(f317(f28(a1),x74351))+~P1(f317(f28(a901),f317(f300(a1,a901,a95),x74351)))
% 199.17/199.23 [9761]E(x97611,f179(f907(f906(a901,a901),a897)))+~P1(f317(f28(f906(a901,a901)),x97611))+P1(f317(f317(f319(f906(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897))),f317(f317(f242(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897)),f179(f907(f906(a901,a901),a897))),x97611)),a27))
% 199.17/199.23 [10202]E(x102021,f2(a901))+E(x102021,f317(a102,f2(a901)))+~P1(f317(f317(f225(a901),x102021),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))))
% 199.17/199.23 [10348]E(x103481,f2(a89))+E(f317(f317(f74(a1),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f317(a24,f317(f317(f30(a89),x103481),f317(f94(a89),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))))),f72(a1)),f317(a24,x103481))+E(f40(a89,x103481,f317(f94(a89),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f2(a89))
% 199.17/199.23 [10282]E(x102821,f2(a89))+~E(f40(a89,x102821,f317(f94(a89),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f2(a89))+E(f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f317(a24,f317(f317(f30(a89),x102821),f317(f94(a89),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))))),f317(a24,x102821))
% 199.17/199.23 [4735]~P55(x47351,x47352)+P41(x47351,x47352)+~P42(a897)
% 199.17/199.23 [4664]~P146(x46641)+P25(x46641,x46642)+~E(x46642,f2(x46641))
% 199.17/199.23 [4665]~P108(x46651)+P11(x46651,x46652)+~E(x46652,f103(x46651))
% 199.17/199.23 [4674]~P119(x46741)+~E(x46742,f2(x46741))+E(f76(x46741,x46742),f2(x46741))
% 199.17/199.23 [4675]~P93(x46751)+~E(x46752,f2(x46751))+E(f76(x46751,x46752),f2(x46751))
% 199.17/199.23 [4683]~P146(x46832)+~P25(x46832,x46831)+E(x46831,f2(x46832))
% 199.17/199.23 [4728]~P119(x47282)+~E(f76(x47282,x47281),f2(x47282))+E(x47281,f2(x47282))
% 199.17/199.23 [4742]~P2(x47422)+~P2(x47421)+P2(f907(x47421,x47422))
% 199.17/199.23 [4743]~P2(x47432)+~P2(x47431)+P2(f906(x47431,x47432))
% 199.17/199.23 [4744]~P2(x47442)+~P2(x47441)+P2(f908(x47441,x47442))
% 199.17/199.23 [4745]~P4(x47452)+~P4(x47451)+P4(f185(x47451,x47452))
% 199.17/199.23 [4746]~P60(x47462)+~P60(x47461)+P60(f907(x47461,x47462))
% 199.17/199.23 [4747]~P60(x47472)+~P60(x47471)+P60(f906(x47471,x47472))
% 199.17/199.23 [4748]~P60(x47482)+~P60(x47481)+P60(f908(x47481,x47482))
% 199.17/199.23 [4749]~P105(x47492)+~P105(x47491)+P105(f906(x47491,x47492))
% 199.17/199.23 [4870]~P108(x48701)+~P11(x48701,x48702)+P11(x48701,f142(x48701,x48702))
% 199.17/199.23 [5117]~P4(x51172)+~P4(x51171)+P4(f40(a1,x51171,x51172))
% 199.17/199.23 [4685]~P80(x46851)+~E(x46852,f2(x46851))+E(f317(f73(x46851),x46852),x46852)
% 199.17/199.23 [4700]~P141(x47001)+~E(x47002,f2(a1))+E(f317(f93(x47001),x47002),f2(x47001))
% 199.17/199.23 [4701]~P96(x47011)+~E(x47012,f2(a1))+E(f317(f93(x47011),x47012),f2(x47011))
% 199.17/199.23 [4725]~P78(x47251)+~E(f2(x47251),x47252)+E(f317(f73(x47251),x47252),f2(x47251))
% 199.17/199.23 [4726]~P78(x47261)+~E(x47262,f2(x47261))+E(f317(f73(x47261),x47262),f2(x47261))
% 199.17/199.23 [4727]~P88(x47271)+~E(x47272,f2(x47271))+E(f317(f70(x47271),x47272),f2(x47271))
% 199.17/199.23 [4751]~P80(x47512)+E(x47511,f2(x47512))+~E(f317(f73(x47512),x47511),x47511)
% 199.17/199.23 [4753]E(x47531,f317(a95,x47532))+~E(x47531,f2(a901))+~E(x47532,f317(f90(a1),x47531))
% 199.17/199.23 [4754]E(f317(a95,x47541),x47542)+~E(x47542,f2(a901))+~E(x47541,f317(f90(a1),x47542))
% 199.17/199.23 [4756]~P96(x47562)+E(x47561,f2(a1))+~E(f317(f93(x47562),x47561),f2(x47562))
% 199.17/199.23 [4760]~P78(x47602)+E(x47601,f2(x47602))+~E(f317(f73(x47602),x47601),f2(x47602))
% 199.17/199.23 [4761]~P88(x47612)+E(x47611,f2(x47612))+~E(f317(f70(x47612),x47611),f2(x47612))
% 199.17/199.23 [4762]~P78(x47621)+E(f2(x47621),x47622)+~E(f317(f73(x47621),x47622),f2(x47621))
% 199.17/199.23 [4943]~P108(x49431)+~P11(x49431,x49432)+P11(x49431,f317(f161(x49431),x49432))
% 199.17/199.23 [4971]~P1(x49712)+~P1(x49711)+P1(f317(f317(a315,x49711),x49712))
% 199.17/199.23 [5009]~E(f72(a901),f2(a901))+E(f317(f29(x50091),x50092),f2(a901))+~P1(f317(f28(x50091),x50092))
% 199.17/199.23 [5045]~P115(x50451)+~P145(x50451)+E(f317(f317(f234(x50451),f2(x50451)),f317(a102,x50452)),f2(x50451))
% 199.17/199.23 [5085]~P108(x50851)+P11(x50851,f129(x50851,x50852))+~P1(f317(f28(x50851),x50852))
% 199.17/199.23 [5086]~P108(x50861)+P11(x50861,f707(x50862,x50861))+~P1(f317(f28(x50861),x50862))
% 199.17/199.23 [5109]~P108(x51091)+E(f317(f162(x51091),f129(x51091,x51092)),x51092)+~P1(f317(f28(x51091),x51092))
% 199.17/199.23 [5110]~P108(x51101)+E(f317(f162(x51101),f707(x51102,x51101)),x51102)+~P1(f317(f28(x51101),x51102))
% 199.17/199.23 [5139]P1(x51391)+P1(x51392)+~P1(f317(f317(a316,x51392),x51391))
% 199.17/199.23 [5152]E(x51521,f179(f907(x51522,a897)))+~E(f317(f29(x51522),x51521),f2(a901))+~P1(f317(f28(x51522),x51521))
% 199.17/199.23 [5157]P1(x51571)+~P1(x51572)+~P1(f317(f317(a320,x51572),x51571))
% 199.17/199.23 [5207]~P77(x52071)+E(f317(f70(x52071),x52072),x52072)+P1(f317(f317(f225(x52071),x52072),f2(x52071)))
% 199.17/199.23 [5267]~P60(x52672)+~P1(f317(f51(x52672),x52671))+P1(f317(x52671,f708(x52671,x52672)))
% 199.17/199.23 [5268]~P60(x52682)+~P1(f317(f51(x52682),x52681))+P1(f317(x52681,f716(x52681,x52682)))
% 199.17/199.23 [5309]E(x53091,f103(x53092))+P1(f317(f127(x53092),f104(x53092,x53091)))+~P1(f317(f127(x53092),x53091))
% 199.17/199.23 [5314]~P108(x53141)+~P1(f317(f28(x53141),x53142))+P1(f317(f127(x53141),f129(x53141,x53142)))
% 199.17/199.23 [5315]~P108(x53151)+~P1(f317(f28(x53151),x53152))+P1(f317(f127(x53151),f707(x53152,x53151)))
% 199.17/199.23 [5320]~P141(x53201)+E(f317(f90(x53201),f317(a95,x53202)),f317(f93(x53201),x53202))+P1(f317(f317(f225(a1),x53202),f2(a1)))
% 199.17/199.23 [5341]P5(x53412,x53411)+E(f317(x53411,f494(x53411)),f317(x53411,f497(x53411)))+P1(f317(f317(x53411,f494(x53411)),f497(x53411)))
% 199.17/199.23 [5354]E(f317(f90(a1),f381(x53541,x53542)),x53541)+P1(f317(x53542,f317(a95,x53541)))+~P1(f317(x53542,f2(a901)))
% 199.17/199.23 [5367]~P60(x53671)+~P1(f317(x53672,f721(x53672,x53671)))+P1(f317(f52(x53671),x53672))
% 199.17/199.23 [5368]~P60(x53681)+~P1(f317(x53682,f731(x53682,x53681)))+P1(f317(f52(x53681),x53682))
% 199.17/199.23 [5404]~P119(x54041)+~E(f76(x54041,x54042),f317(f73(x54041),f72(x54041)))+P1(f317(f317(f225(x54041),x54042),f2(x54041)))
% 199.17/199.23 [5405]E(x54051,f179(f907(x54052,a897)))+P1(f317(f28(x54052),f839(x54051,x54052)))+~P1(f317(f28(x54052),x54051))
% 199.17/199.23 [5481]~E(x54812,f2(a1))+E(f206(x54811,x54812),f317(f317(f242(a1,a1),f2(a1)),f72(a1)))+P1(f317(f317(f225(a1),x54812),f2(a1)))
% 199.17/199.23 [5482]~E(x54821,f2(a1))+E(f206(x54821,x54822),f317(f317(f242(a1,a1),f2(a1)),f72(a1)))+P1(f317(f317(f225(a1),x54822),f2(a1)))
% 199.17/199.23 [5535]E(f317(f90(a1),f381(x55351,x55352)),x55351)+P1(f317(x55352,f317(a95,x55351)))+P1(f317(f317(f225(a1),x55351),f2(a1)))
% 199.17/199.23 [5559]E(f317(f317(f299(x55592),f885(x55591,x55592)),f839(x55591,x55592)),x55591)+E(x55591,f179(f907(x55592,a897)))+~P1(f317(f28(x55592),x55591))
% 199.17/199.23 [5602]~P119(x56021)+E(f76(x56021,x56022),f317(f73(x56021),f72(x56021)))+~P1(f317(f317(f225(x56021),x56022),f2(x56021)))
% 199.17/199.23 [5603]~P88(x56031)+E(f317(f70(x56031),x56032),f317(f73(x56031),x56032))+~P1(f317(f317(f224(x56031),x56032),f2(x56031)))
% 199.17/199.23 [5604]~P88(x56041)+E(f317(f70(x56041),x56042),f317(f73(x56041),x56042))+~P1(f317(f317(f225(x56041),x56042),f2(x56041)))
% 199.17/199.23 [5605]~P77(x56051)+E(f317(f70(x56051),x56052),f317(f73(x56051),x56052))+~P1(f317(f317(f225(x56051),x56052),f2(x56051)))
% 199.17/199.23 [5707]~P1(f317(x57071,f381(x57072,x57071)))+P1(f317(x57071,f317(a95,x57072)))+~P1(f317(x57071,f2(a901)))
% 199.17/199.23 [5714]E(x57141,f2(a901))+E(f317(a102,f327(x57142,x57141)),x57141)+~P1(f317(f317(f225(a901),x57141),f317(a102,x57142)))
% 199.17/199.23 [5718]P5(x57181,x57182)+~E(f317(x57182,f494(x57182)),f317(x57182,f497(x57182)))+~P1(f317(f317(x57182,f494(x57182)),f497(x57182)))
% 199.17/199.23 [5736]~P108(x57361)+P11(x57361,x57362)+P1(f317(f317(f224(a901),f691(x57362,x57361)),f692(x57362,x57361)))
% 199.17/199.23 [5737]~P108(x57371)+P11(x57371,x57372)+P1(f317(f317(f224(a901),f698(x57372,x57371)),f703(x57372,x57371)))
% 199.17/199.23 [5823]~P88(x58231)+~E(x58232,f2(x58231))+P1(f317(f317(f224(x58231),f317(f70(x58231),x58232)),f2(x58231)))
% 199.17/199.23 [5920]~P1(f317(x59201,f381(x59202,x59201)))+P1(f317(x59201,f317(a95,x59202)))+P1(f317(f317(f225(a1),x59202),f2(a1)))
% 199.17/199.23 [5945]~P1(f317(x59451,f317(a95,x59452)))+P1(f317(x59451,f2(a901)))+~P1(f317(f317(f225(a1),x59452),f2(a1)))
% 199.17/199.23 [6293]~P119(x62931)+~P1(f317(f317(f225(x62931),x62932),f2(x62931)))+P1(f317(f317(f225(x62931),f76(x62931,x62932)),f2(x62931)))
% 199.17/199.23 [6412]~P119(x64121)+P1(f317(f317(f224(x64121),f317(f93(x64121),x64122)),f2(x64121)))+~P1(f317(f317(f224(a1),x64122),f2(a1)))
% 199.17/199.23 [6413]~P119(x64131)+P1(f317(f317(f225(x64131),f317(f93(x64131),x64132)),f2(x64131)))+~P1(f317(f317(f225(a1),x64132),f2(a1)))
% 199.17/199.23 [6422]~P88(x64222)+E(x64221,f2(x64222))+~P1(f317(f317(f224(x64222),f317(f70(x64222),x64221)),f2(x64222)))
% 199.17/199.23 [6498]~P141(x64981)+~P1(f317(f317(f319(x64981),x64982),f100(x64981)))+P1(f317(f317(f319(x64981),f317(f73(x64981),x64982)),f100(x64981)))
% 199.17/199.23 [6530]~P119(x65301)+~P1(f317(f317(f225(x65301),f76(x65301,x65302)),f2(x65301)))+P1(f317(f317(f225(x65301),x65302),f2(x65301)))
% 199.17/199.23 [6705]~P119(x67052)+~P1(f317(f317(f224(x67052),f317(f93(x67052),x67051)),f2(x67052)))+P1(f317(f317(f224(a1),x67051),f2(a1)))
% 199.17/199.23 [6706]~P119(x67062)+~P1(f317(f317(f225(x67062),f317(f93(x67062),x67061)),f2(x67062)))+P1(f317(f317(f225(a1),x67061),f2(a1)))
% 199.17/199.23 [7213]~P80(x72131)+~P1(f317(f317(f224(x72131),x72132),f2(x72131)))+P1(f317(f317(f224(x72131),f317(f317(f74(x72131),x72132),x72132)),f2(x72131)))
% 199.17/199.23 [7214]~P80(x72141)+~P1(f317(f317(f225(x72141),x72142),f2(x72141)))+P1(f317(f317(f225(x72141),f317(f317(f74(x72141),x72142),x72142)),f2(x72141)))
% 199.17/199.23 [7215]~P119(x72151)+~P1(f317(f317(f225(x72151),x72152),f2(x72151)))+P1(f317(f317(f225(x72151),f317(f317(f74(x72151),x72152),x72152)),f2(x72151)))
% 199.17/199.23 [7773]~P80(x77731)+~P1(f317(f317(f224(x77731),f317(f317(f74(x77731),x77732),x77732)),f2(x77731)))+P1(f317(f317(f224(x77731),x77732),f2(x77731)))
% 199.17/199.23 [7774]~P80(x77741)+~P1(f317(f317(f225(x77741),f317(f317(f74(x77741),x77742),x77742)),f2(x77741)))+P1(f317(f317(f225(x77741),x77742),f2(x77741)))
% 199.17/199.23 [7775]~P119(x77751)+~P1(f317(f317(f225(x77751),f317(f317(f74(x77751),x77752),x77752)),f2(x77751)))+P1(f317(f317(f225(x77751),x77752),f2(x77751)))
% 199.17/199.23 [4797]~E(x47972,f2(a901))+~E(x47971,f2(a901))+E(f317(f317(f74(a901),x47971),x47972),f2(a901))
% 199.17/199.23 [4798]~E(x47982,f72(a901))+~E(x47981,f72(a901))+E(f317(f317(f75(a901),x47981),x47982),f72(a901))
% 199.17/199.23 [4799]~E(x47992,f72(a1))+~E(x47991,f72(a1))+E(f317(f317(f75(a1),x47991),x47992),f72(a1))
% 199.17/199.23 [4854]~P122(x48542)+E(x48541,f2(x48542))+E(f317(f317(f280(x48542),x48541),x48541),f72(x48542))
% 199.17/199.23 [4855]~P58(x48552)+E(x48551,f2(x48552))+E(f317(f317(f30(x48552),x48551),x48551),f72(x48552))
% 199.17/199.23 [4856]~P123(x48562)+E(x48561,f2(x48562))+E(f317(f317(f280(x48562),x48561),x48561),f72(x48562))
% 199.17/199.23 [4874]~P80(x48741)+~E(x48742,f2(x48741))+E(f317(f317(f74(x48741),x48742),x48742),f2(x48741))
% 199.17/199.23 [4877]~P140(x48771)+~E(x48772,f72(x48771))+E(f317(f317(f75(x48771),x48772),x48772),f72(x48771))
% 199.17/199.23 [4878]~P123(x48781)+~E(x48782,f2(x48781))+E(f317(f317(f280(x48781),x48782),x48782),f2(x48781))
% 199.17/199.23 [4921]~E(x49212,f2(a901))+~E(x49211,f2(a901))+E(f317(f73(a1),f317(f90(a1),x49211)),f317(f90(a1),x49212))
% 199.17/199.23 [4940]E(x49401,f72(a901))+E(x49402,f2(a901))+~E(f317(f317(f75(a901),x49402),x49401),x49402)
% 199.17/199.23 [4952]E(x49521,f2(a901))+E(x49522,f2(a901))+~E(f317(f317(f75(a901),x49522),x49521),f2(a901))
% 199.17/199.23 [4980]~E(x49802,f2(a901))+~E(x49801,f317(a102,f2(a901)))+E(f317(f317(f74(a901),x49801),x49802),f317(a102,f2(a901)))
% 199.17/199.23 [4981]~E(x49811,f2(a901))+~E(x49812,f317(a102,f2(a901)))+E(f317(f317(f74(a901),x49811),x49812),f317(a102,f2(a901)))
% 199.17/199.23 [4988]E(x49881,f72(a1))+E(x49882,f317(f94(a1),a87))+~E(f317(f317(f75(a1),x49881),x49882),f72(a1))
% 199.17/199.23 [4989]E(x49891,f72(a1))+E(x49892,f317(f94(a1),a87))+~E(f317(f317(f75(a1),x49892),x49891),f72(a1))
% 199.17/199.23 [4990]E(x49901,f72(a1))+E(x49901,f317(f94(a1),a87))+~E(f317(f317(f75(a1),x49902),x49901),f72(a1))
% 199.17/199.23 [4992]E(x49921,f72(a1))+E(x49921,f317(f94(a1),a87))+~E(f317(f317(f75(a1),x49921),x49922),f72(a1))
% 199.17/199.23 [5017]~P80(x50172)+E(x50171,f2(x50172))+~E(f317(f317(f74(x50172),x50171),x50171),f2(x50172))
% 199.17/199.23 [5023]~E(x50231,f317(f94(a1),a87))+~E(x50232,f317(f94(a1),a87))+E(f317(f317(f75(a1),x50231),x50232),f72(a1))
% 199.17/199.23 [5034]E(x50341,f2(a901))+E(x50342,f2(a901))+~E(f317(f317(f74(a901),x50342),x50341),f317(a102,f2(a901)))
% 199.17/199.23 [5044]~P61(x50441)+~P97(x50441)+E(f317(f317(f280(x50441),x50442),f317(f94(x50441),a77)),f2(x50441))
% 199.17/199.23 [5051]~P140(x50511)+~E(x50512,f317(f73(x50511),f72(x50511)))+E(f317(f317(f75(x50511),x50512),x50512),f72(x50511))
% 199.17/199.23 [5056]~P4(x50562)+~P4(x50561)+P4(f317(f317(f74(a1),x50561),x50562))
% 199.17/199.23 [5057]~P4(x50572)+~P4(x50571)+P4(f317(f317(f75(a1),x50571),x50572))
% 199.17/199.23 [5058]~P4(x50582)+~P4(x50581)+P4(f317(f317(f30(a1),x50581),x50582))
% 199.17/199.23 [5060]~E(x50602,f2(a1))+E(x50601,f2(a1))+E(f41(x50601,x50602),f317(f317(f242(a1,a1),f2(a1)),x50601))
% 199.17/199.23 [5083]~E(x50832,f317(a102,f2(a901)))+~E(x50831,f317(a102,f2(a901)))+E(f317(f317(f75(a901),x50831),x50832),f317(a102,f2(a901)))
% 199.17/199.23 [5100]E(x51001,f2(a901))+E(x51002,f317(a102,f2(a901)))+~E(f317(f317(f234(a901),x51002),x51001),f317(a102,f2(a901)))
% 199.17/199.23 [5101]E(x51011,f2(a901))+E(x51011,f317(a102,f2(a901)))+~E(f317(f317(f74(a901),x51012),x51011),f317(a102,f2(a901)))
% 199.17/199.23 [5102]E(x51021,f2(a901))+E(x51021,f317(a102,f2(a901)))+~E(f317(f317(f74(a901),x51021),x51022),f317(a102,f2(a901)))
% 199.17/199.23 [5111]~P61(x51111)+~P97(x51111)+E(f317(f317(f280(x51111),x51112),f317(f94(x51111),a87)),f317(f73(x51111),x51112))
% 199.17/199.23 [5131]E(x51311,f317(a95,x51312))+~E(x51311,f2(a901))+P1(f317(f317(f224(a1),f2(a1)),x51312))
% 199.17/199.23 [5132]E(f317(a95,x51321),x51322)+~E(x51322,f2(a901))+P1(f317(f317(f224(a1),f2(a1)),x51321))
% 199.17/199.23 [5148]E(x51481,f317(a102,f2(a901)))+E(x51482,f317(a102,f2(a901)))+~E(f317(f317(f74(a901),x51481),x51482),f317(a102,f2(a901)))
% 199.17/199.23 [5159]~E(x51591,f317(a95,x51592))+E(x51591,f2(a901))+P1(f317(f317(f224(a1),f2(a1)),x51592))
% 199.17/199.23 [5160]~E(f317(a95,x51602),x51601)+E(x51601,f2(a901))+P1(f317(f317(f224(a1),f2(a1)),x51602))
% 199.17/199.23 [5183]~P108(x51831)+E(f317(f57(x51831,f178(x51831)),x51832),f16(x51831,x51832))+~P1(f317(f28(x51831),x51832))
% 199.17/199.23 [5184]~P108(x51841)+E(f317(f57(x51841,f228(x51841)),x51842),f17(x51841,x51842))+~P1(f317(f28(x51841),x51842))
% 199.17/199.23 [5185]~P68(x51851)+E(f317(f57(x51851,f91(x51851)),x51852),f12(x51851,x51852))+~P1(f317(f28(x51851),x51852))
% 199.17/199.23 [5186]~P68(x51861)+E(f317(f57(x51861,f92(x51861)),x51862),f13(x51861,x51862))+~P1(f317(f28(x51861),x51862))
% 199.17/199.23 [5262]E(x52621,x52622)+~E(f317(f317(f3(a901),x52622),x52621),f2(a901))+~E(f317(f317(f3(a901),x52621),x52622),f2(a901))
% 199.17/199.23 [5279]P4(x52791)+~P37(x52792)+~P1(f317(f317(f319(a1),x52791),x52792))
% 199.17/199.23 [5310]~P119(x53101)+~E(f76(x53101,x53102),f72(x53101))+P1(f317(f317(f225(x53101),f2(x53101)),x53102))
% 199.17/199.23 [5321]~P97(x53211)+E(f317(f90(x53211),f317(f94(a901),x53212)),f317(f94(x53211),x53212))+P1(f317(a184,f317(f94(a1),x53212)))
% 199.17/199.23 [5326]~P41(x53261,x53262)+P42(a897)+P1(f317(f28(f906(x53261,x53261)),x53262))
% 199.17/199.23 [5396]~P108(x53961)+E(f317(f57(x53961,f178(x53961)),x53962),f14(x53961,f178(x53961),x53962))+~P1(f317(f28(x53961),x53962))
% 199.17/199.23 [5397]~P108(x53971)+E(f317(f57(x53971,f228(x53971)),x53972),f15(x53971,f228(x53971),x53972))+~P1(f317(f28(x53971),x53972))
% 199.17/199.23 [5412]E(x54121,x54122)+P1(f317(f317(f225(a901),x54122),x54121))+P1(f317(f317(f225(a901),x54121),x54122))
% 199.17/199.23 [5413]E(x54131,x54132)+P1(f317(f317(f225(a1),x54132),x54131))+P1(f317(f317(f225(a1),x54131),x54132))
% 199.17/199.23 [5468]~P97(x54681)+E(f317(f90(x54681),f317(f94(a901),x54682)),f2(x54681))+~P1(f317(a184,f317(f94(a1),x54682)))
% 199.17/199.23 [5471]~E(x54712,f317(a95,x54711))+E(x54711,f317(f90(a1),x54712))+~P1(f317(f317(f224(a1),f2(a1)),x54711))
% 199.17/199.23 [5472]~E(f317(a95,x54721),x54722)+E(x54721,f317(f90(a1),x54722))+~P1(f317(f317(f224(a1),f2(a1)),x54721))
% 199.17/199.23 [5473]~E(x54731,f317(a95,x54732))+E(f317(f90(a1),x54731),x54732)+~P1(f317(f317(f224(a1),f2(a1)),x54732))
% 199.17/199.23 [5483]E(x54831,f317(a95,x54832))+~E(x54832,f317(f90(a1),x54831))+~P1(f317(f317(f224(a1),f2(a1)),x54832))
% 199.17/199.23 [5484]E(f317(a95,x54841),x54842)+~E(x54841,f317(f90(a1),x54842))+~P1(f317(f317(f224(a1),f2(a1)),x54841))
% 199.17/199.23 [5515]~P118(x55152)+E(x55151,f2(x55152))+~P1(f317(f317(f276(x55152),f2(x55152)),x55151))
% 199.17/199.23 [5526]~P88(x55262)+E(x55261,f2(x55262))+P1(f317(f317(f225(x55262),f2(x55262)),f317(f70(x55262),x55261)))
% 199.17/199.23 [5589]~P119(x55891)+E(f76(x55891,x55892),f72(x55891))+~P1(f317(f317(f225(x55891),f2(x55891)),x55892))
% 199.17/199.23 [5595]~P97(x55951)+E(f317(f90(x55951),f317(f94(a901),x55952)),f2(x55951))+P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x55952)))
% 199.17/199.23 [5606]~P88(x56061)+E(f317(f70(x56061),x56062),x56062)+~P1(f317(f317(f224(x56061),f2(x56061)),x56062))
% 199.17/199.23 [5607]~P88(x56071)+E(f317(f70(x56071),x56072),x56072)+~P1(f317(f317(f225(x56071),f2(x56071)),x56072))
% 199.17/199.23 [5616]E(x56161,f2(a901))+~E(f129(a901,f317(f293(a901,x56162),x56161)),f103(a901))+P1(f317(f317(f224(a901),x56161),x56162))
% 199.17/199.23 [5626]~P72(x56261)+E(f317(f317(f8(x56261,x56261),f7(x56261)),f317(f162(x56261),x56262)),f317(f155(x56261),x56262))+~P1(f317(f127(x56261),x56262))
% 199.17/199.23 [5629]~P141(x56291)+E(f317(f90(x56291),f317(a95,x56292)),f317(f93(x56291),x56292))+~P1(f317(f317(f224(a1),f2(a1)),x56292))
% 199.17/199.23 [5656]E(x56561,x56562)+P1(f317(f317(f225(a901),x56561),x56562))+~P1(f317(f317(f224(a901),x56561),x56562))
% 199.17/199.23 [5657]E(x56571,x56572)+P1(f317(f317(f225(a1),x56571),x56572))+~P1(f317(f317(f224(a1),x56571),x56572))
% 199.17/199.23 [5660]E(x56601,f72(a1))+~E(f317(f317(f75(a1),x56602),x56601),f72(a1))+~P1(f317(f317(f225(a1),f2(a1)),x56602))
% 199.17/199.23 [5661]E(x56611,f72(a1))+~E(f317(f317(f75(a1),x56611),x56612),f72(a1))+~P1(f317(f317(f225(a1),f2(a1)),x56611))
% 199.17/199.23 [5704]~P37(x57042)+P1(f317(f317(f224(a1),f2(a1)),x57041))+~P1(f317(f317(f319(a1),x57041),x57042))
% 199.17/199.23 [5723]~P55(x57231,x57232)+P34(x57231,x57232)+~P1(f317(f28(f906(x57231,x57231)),x57232))
% 199.17/199.23 [5725]~P55(x57251,x57252)+P41(x57251,x57252)+~P1(f317(f28(f906(x57251,x57251)),x57252))
% 199.17/199.23 [5767]E(x57671,f179(f907(x57672,a897)))+~P1(f317(f28(x57672),x57671))+P1(f317(f317(f225(a901),f2(a901)),f317(f29(x57672),x57671)))
% 199.17/199.23 [5794]~P1(f317(x57941,x57942))+P1(f317(x57941,f2(a901)))+P1(f317(f317(f225(a901),f346(x57942,x57941)),x57942))
% 199.17/199.23 [5817]E(x58171,f2(a901))+~E(f317(f155(a901),x58172),f2(a901))+~P1(f317(f317(f319(a901),x58171),f317(f162(a901),x58172)))
% 199.17/199.23 [5885]E(x58851,x58852)+~P1(f317(f317(f224(a901),x58852),x58851))+~P1(f317(f317(f224(a901),x58851),x58852))
% 199.17/199.23 [5886]E(x58861,x58862)+~P1(f317(f317(f224(a1),x58862),x58861))+~P1(f317(f317(f224(a1),x58861),x58862))
% 199.17/199.23 [5895]E(x58951,x58952)+~P1(f317(f317(f276(a901),x58952),x58951))+~P1(f317(f317(f276(a901),x58951),x58952))
% 199.17/199.23 [5897]E(f317(f29(x58971),x58972),f2(a901))+~P1(f317(f28(x58971),x58972))+P1(f317(f317(f319(x58971),f359(x58972,x58971)),x58972))
% 199.17/199.23 [5906]E(f45(x59061,x59062),f41(x59061,x59062))+P1(f317(f317(f224(a1),f2(a1)),x59061))+~P1(f317(f317(f225(a1),f2(a1)),x59062))
% 199.17/199.23 [5932]~P1(f317(x59321,f379(x59321)))+P1(f317(x59321,f317(a95,x59322)))+~P1(f317(f317(f224(a1),f2(a1)),x59322))
% 199.17/199.23 [5935]P1(f317(f317(f224(a901),x59351),f384(x59352)))+~P1(f317(f28(a901),x59352))+~P1(f317(f317(f319(a901),x59351),x59352))
% 199.17/199.23 [5936]P1(f317(f317(f225(a901),x59361),f386(x59362)))+~P1(f317(f28(a901),x59362))+~P1(f317(f317(f319(a901),x59361),x59362))
% 199.17/199.23 [5967]E(x59671,x59672)+~P1(f317(f317(f225(a901),x59671),f317(a102,x59672)))+P1(f317(f317(f225(a901),x59671),x59672))
% 199.17/199.23 [6004]E(x60041,f317(a102,x60042))+~P1(f317(f317(f224(a901),x60041),f317(a102,x60042)))+P1(f317(f317(f224(a901),x60041),x60042))
% 199.17/199.23 [6019]P1(f317(x60191,f382(x60191)))+~P1(f317(x60191,f317(a95,x60192)))+~P1(f317(f317(f224(a1),f2(a1)),x60192))
% 199.17/199.23 [6035]~P1(f317(x60351,x60352))+~P1(f317(f317(f224(a1),f2(a1)),x60352))+P1(f317(x60351,f317(f90(a1),f372(x60351))))
% 199.17/199.23 [6046]~P88(x60462)+~E(x60461,f2(x60462))+~P1(f317(f317(f225(x60462),f2(x60462)),f317(f70(x60462),x60461)))
% 199.17/199.23 [6071]~P55(x60711,x60712)+P34(x60711,f317(f275(x60711,x60711),x60712))+~P1(f317(f28(f906(x60711,x60711)),x60712))
% 199.17/199.23 [6080]~P97(x60801)+E(f317(f90(x60801),f317(f94(a901),x60802)),f317(f94(x60801),x60802))+~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x60802)))
% 199.17/199.23 [6083]E(f317(a102,x60831),x60832)+~P1(f317(f317(f225(a901),x60831),x60832))+P1(f317(f317(f225(a901),f317(a102,x60831)),x60832))
% 199.17/199.23 [6097]E(f317(f317(f30(a1),x60971),x60972),f2(a1))+~P1(f317(f317(f224(a1),x60971),f2(a1)))+~P1(f317(f317(f225(a1),x60972),x60971))
% 199.17/199.23 [6109]E(f40(a1,x61091,x61092),x61091)+~P1(f317(f317(f224(a1),x61091),f2(a1)))+~P1(f317(f317(f225(a1),x61092),x61091))
% 199.17/199.23 [6123]E(f42(x61231,x61232),f41(x61231,x61232))+~P1(f317(f317(f224(a1),f2(a1)),x61231))+~P1(f317(f317(f224(a1),f2(a1)),x61232))
% 199.17/199.23 [6133]E(f317(f317(f30(a1),x61331),x61332),f2(a1))+~P1(f317(f317(f224(a1),f2(a1)),x61331))+~P1(f317(f317(f225(a1),x61331),x61332))
% 199.17/199.23 [6144]E(f40(a901,f317(f94(a901),x61441),f317(f94(a901),x61442)),f317(f94(a901),x61441))+P1(f317(a184,f317(f94(a1),x61441)))+~P1(f317(a184,f317(f94(a1),x61442)))
% 199.17/199.23 [6146]E(f40(a1,x61461,x61462),x61461)+~P1(f317(f317(f224(a1),f2(a1)),x61461))+~P1(f317(f317(f225(a1),x61461),x61462))
% 199.17/199.23 [6147]E(x61471,x61472)+~P1(f317(f317(f225(a901),x61471),f317(a102,x61472)))+~P1(f317(f317(f224(a901),x61472),x61471))
% 199.17/199.23 [6161]~P80(x61611)+~P1(f317(f317(f224(x61611),x61612),f2(x61611)))+P1(f317(f317(f224(x61611),x61612),f317(f73(x61611),x61612)))
% 199.17/199.23 [6162]~P119(x61621)+~P1(f317(f317(f225(x61621),x61622),f2(x61621)))+P1(f317(f317(f225(x61621),x61622),f317(f73(x61621),x61622)))
% 199.17/199.23 [6171]~P3(x61711)+E(f317(f317(f58(x61711,x61711,f91(x61711)),f179(x61711)),x61712),f31(x61711,x61712))+~P1(f317(f28(x61711),x61712))
% 199.17/199.23 [6172]~P3(x61721)+E(f317(f317(f58(x61721,x61721,f92(x61721)),f232(x61721)),x61722),f32(x61721,x61722))+~P1(f317(f28(x61721),x61722))
% 199.17/199.23 [6189]~P119(x61891)+~P1(f317(f317(f224(a1),f2(a1)),x61892))+P1(f317(f317(f224(x61891),f2(x61891)),f317(f93(x61891),x61892)))
% 199.17/199.23 [6190]~P126(x61901)+~P1(f317(f317(f225(a901),f2(a901)),x61902))+P1(f317(f317(f225(x61901),f2(x61901)),f317(f90(x61901),x61902)))
% 199.17/199.23 [6191]~P119(x61911)+~P1(f317(f317(f225(a1),f2(a1)),x61912))+P1(f317(f317(f225(x61911),f2(x61911)),f317(f93(x61911),x61912)))
% 199.17/199.23 [6194]~P4(x61942)+~P4(x61941)+E(f317(f300(a901,a1,f90(a1)),f294(a901,f317(a95,x61941),f317(a95,x61942))),f294(a1,x61941,x61942))
% 199.17/199.23 [6200]P1(f317(x62001,x62002))+~P1(f317(f317(f224(a1),f2(a1)),x62002))+~P1(f317(x62001,f317(f90(a1),f373(x62001))))
% 199.17/199.23 [6232]E(f317(f317(f74(a901),f317(f94(a901),x62321)),f317(f94(a901),x62322)),f317(f94(a901),x62321))+P1(f317(f317(f225(a1),x62321),a77))+~P1(f317(f317(f225(a1),x62322),a77))
% 199.17/199.23 [6238]~P119(x62381)+P1(f317(f317(f225(x62381),f2(x62381)),f76(x62381,x62382)))+~P1(f317(f317(f225(x62381),f2(x62381)),x62382))
% 199.17/199.23 [6252]~P82(x62521)+~P1(f317(f317(f224(x62521),x62522),f2(x62521)))+P1(f317(f317(f224(x62521),f2(x62521)),f317(f73(x62521),x62522)))
% 199.17/199.23 [6253]~P82(x62531)+~P1(f317(f317(f225(x62531),x62532),f2(x62531)))+P1(f317(f317(f225(x62531),f2(x62531)),f317(f73(x62531),x62532)))
% 199.17/199.23 [6256]E(x62561,f232(f907(x62562,a897)))+~E(f317(f29(x62562),x62561),f317(f29(x62562),f232(f907(x62562,a897))))+~P1(f317(f28(x62562),f232(f907(x62562,a897))))
% 199.17/199.23 [6278]~P1(f317(f317(f225(a901),f2(a901)),x62782))+~P1(f317(f317(f276(a901),x62781),x62782))+P1(f317(f317(f224(a901),x62781),x62782))
% 199.17/199.23 [6285]~P80(x62851)+P1(f317(f317(f224(x62851),x62852),f2(x62851)))+~P1(f317(f317(f224(x62851),x62852),f317(f73(x62851),x62852)))
% 199.17/199.23 [6286]~P119(x62861)+P1(f317(f317(f225(x62861),x62862),f2(x62861)))+~P1(f317(f317(f225(x62861),x62862),f317(f73(x62861),x62862)))
% 199.17/199.23 [6295]~P97(x62951)+P1(f317(f317(f319(x62951),f317(f94(x62951),x62952)),f176(x62951)))+~P1(f317(f317(f224(a1),a77),x62952))
% 199.17/199.23 [6324]E(x63241,f2(a901))+~P1(f317(f317(f225(a901),x63241),f317(a102,x63242)))+P1(f317(f317(f225(a901),f327(x63242,x63241)),x63242))
% 199.17/199.23 [6327]~P150(x63272)+P149(x63271,f317(f317(f299(a896),f912(x63272)),f179(f907(a896,a897))))+P1(f317(f317(f319(a899),f526(x63271,x63272)),a909))
% 199.17/199.23 [6349]~P119(x63491)+~P1(f317(f317(f225(x63491),f2(x63491)),f76(x63491,x63492)))+P1(f317(f317(f225(x63491),f2(x63491)),x63492))
% 199.17/199.23 [6351]~E(f317(f94(a901),x63512),f317(f94(a901),x63511))+P1(f317(f317(f224(a1),f317(f94(a1),x63511)),f2(a1)))+~P1(f317(a184,f317(f94(a1),x63512)))
% 199.17/199.23 [6381]E(f317(f241(a1,a1),f45(x63811,x63812)),f317(f317(f30(a1),x63811),x63812))+~P1(f317(f317(f225(a1),x63811),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x63812))
% 199.17/199.23 [6420]E(f317(f246(a1,a1),f45(x64201,x64202)),f40(a1,x64201,x64202))+~P1(f317(f317(f225(a1),x64201),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x64202))
% 199.17/199.23 [6423]~P119(x64232)+~P1(f317(f317(f224(x64232),f2(x64232)),f317(f93(x64232),x64231)))+P1(f317(f317(f224(a1),f2(a1)),x64231))
% 199.17/199.23 [6424]~P126(x64242)+~P1(f317(f317(f225(x64242),f2(x64242)),f317(f90(x64242),x64241)))+P1(f317(f317(f225(a901),f2(a901)),x64241))
% 199.17/199.23 [6425]~P119(x64252)+~P1(f317(f317(f225(x64252),f2(x64252)),f317(f93(x64252),x64251)))+P1(f317(f317(f225(a1),f2(a1)),x64251))
% 199.17/199.23 [6428]E(f317(f241(a1,a1),f42(x64281,x64282)),f317(f317(f30(a1),x64281),x64282))+~P1(f317(f317(f224(a1),f2(a1)),x64282))+~P1(f317(f317(f225(a1),f2(a1)),x64281))
% 199.17/199.23 [6440]E(f317(f246(a1,a1),f42(x64401,x64402)),f40(a1,x64401,x64402))+~P1(f317(f317(f224(a1),f2(a1)),x64402))+~P1(f317(f317(f225(a1),f2(a1)),x64401))
% 199.17/199.23 [6456]~P82(x64561)+P1(f317(f317(f224(x64561),x64562),f2(x64561)))+~P1(f317(f317(f224(x64561),f2(x64561)),f317(f73(x64561),x64562)))
% 199.17/199.23 [6457]~P82(x64571)+P1(f317(f317(f225(x64571),x64572),f2(x64571)))+~P1(f317(f317(f225(x64571),f2(x64571)),f317(f73(x64571),x64572)))
% 199.17/199.23 [6483]P1(f317(f44(x64831,x64832),f45(x64831,x64832)))+~P1(f317(f317(f225(a1),x64831),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x64832))
% 199.17/199.23 [6497]~P1(f317(f317(f225(a901),f2(a901)),x64971))+~P1(f317(f317(f276(a901),x64972),x64971))+~P1(f317(f317(f225(a901),x64971),x64972))
% 199.17/199.23 [6510]P1(f317(f44(x65101,x65102),f42(x65101,x65102)))+~P1(f317(f317(f224(a1),f2(a1)),x65101))+~P1(f317(f317(f225(a1),f2(a1)),x65102))
% 199.17/199.23 [6553]~P82(x65531)+P1(f317(f317(f224(x65531),f317(f73(x65531),x65532)),f2(x65531)))+~P1(f317(f317(f224(x65531),f2(x65531)),x65532))
% 199.17/199.23 [6554]~P82(x65541)+P1(f317(f317(f225(x65541),f317(f73(x65541),x65542)),f2(x65541)))+~P1(f317(f317(f225(x65541),f2(x65541)),x65542))
% 199.17/199.23 [6574]E(f317(f317(f3(a901),f317(a95,x65741)),f317(a95,x65742)),f317(a95,f185(x65741,x65742)))+~P1(f317(f317(f224(a1),f2(a1)),x65742))+~P1(f317(f317(f224(a1),f2(a1)),x65741))
% 199.17/199.23 [6592]P1(f317(f317(f224(a1),f2(a1)),f185(x65921,x65922)))+~P1(f317(f317(f224(a1),f2(a1)),x65922))+~P1(f317(f317(f224(a1),f2(a1)),x65921))
% 199.17/199.23 [6625]~P1(f317(x66251,x66252))+P1(f317(x66251,f2(a901)))+P1(f317(x66251,f317(f317(f74(a901),f346(x66252,x66251)),f72(a901))))
% 199.17/199.23 [6712]E(f317(f94(a901),x67121),f317(f94(a901),x67122))+~P1(f317(f317(f224(a1),f317(f94(a1),x67122)),f2(a1)))+~P1(f317(a184,f317(f94(a1),x67121)))
% 199.17/199.23 [6726]~E(x67261,f2(a901))+~E(f656(x67262,x67261),f2(a901))+E(f317(f132(a901,a901,f74(a901),x67261),x67262),f2(a901))
% 199.17/199.23 [6750]~P1(f317(f28(x67501),f553(x67502,x67501)))+~P1(f317(f28(f907(x67501,a897)),x67502))+P1(f317(f28(x67501),f31(f907(x67501,a897),x67502)))
% 199.17/199.23 [6756]E(x67561,x67562)+P1(f317(f317(f225(a1),x67561),x67562))+~P1(f317(f317(f225(a1),x67561),f317(f317(f74(a1),x67562),f72(a1))))
% 199.17/199.23 [6757]P1(f317(f317(f224(a901),f317(a95,x67571)),f317(a95,x67572)))+~P1(f317(f317(f224(a1),f2(a1)),x67572))+~P1(f317(f317(f224(a1),x67571),x67572))
% 199.17/199.23 [6758]P1(f317(f317(f224(a901),f317(a95,x67581)),f317(a95,x67582)))+~P1(f317(f317(f225(a1),f2(a1)),x67581))+~P1(f317(f317(f224(a1),x67581),x67582))
% 199.17/199.23 [6760]P1(f317(f317(f225(a901),f317(a95,x67601)),f317(a95,x67602)))+~P1(f317(f317(f224(a1),f2(a1)),x67601))+~P1(f317(f317(f225(a1),x67601),x67602))
% 199.17/199.23 [6761]P1(f317(f317(f225(a901),f317(a95,x67611)),f317(a95,x67612)))+~P1(f317(f317(f225(a1),f2(a1)),x67612))+~P1(f317(f317(f225(a1),x67611),x67612))
% 199.17/199.23 [6772]E(f40(a901,f317(a95,x67721),f317(a95,x67722)),f317(a95,f40(a1,x67721,x67722)))+~P1(f317(f317(f224(a1),f2(a1)),x67722))+~P1(f317(f317(f224(a1),f2(a1)),x67721))
% 199.17/199.23 [6796]~P82(x67961)+~P1(f317(f317(f224(x67961),f317(f73(x67961),x67962)),f2(x67961)))+P1(f317(f317(f224(x67961),f2(x67961)),x67962))
% 199.17/199.23 [6797]~P82(x67971)+~P1(f317(f317(f225(x67971),f317(f73(x67971),x67972)),f2(x67971)))+P1(f317(f317(f225(x67971),f2(x67971)),x67972))
% 199.17/199.23 [6812]~P1(f317(f317(f225(a1),a77),x68122))+~P1(f317(f317(f225(a1),x68121),x68122))+P1(f317(f317(f225(a901),f317(f94(a901),x68121)),f317(f94(a901),x68122)))
% 199.17/199.23 [6901]~P1(f317(f317(f224(a1),f2(a1)),x69011))+P1(f317(f317(f225(a901),f317(a95,x69011)),x69012))+~P1(f317(f317(f225(a1),x69011),f317(f90(a1),x69012)))
% 199.17/199.23 [6906]P1(f317(x69061,x69062))+~P1(f317(x69061,f317(a22,f791(x69061,x69062))))+~P1(f317(f317(f319(a901),x69062),f232(f907(a901,a897))))
% 199.17/199.23 [6916]E(x69161,f2(a1))+E(f40(a1,x69162,x69161),f2(a1))+E(f317(f317(f3(a1),f317(f73(a1),f317(f317(f30(a1),x69162),x69161))),f72(a1)),f317(f317(f30(a1),x69162),f317(f73(a1),x69161)))
% 199.17/199.23 [6928]~P1(f317(f317(f224(a1),f2(a1)),x69281))+~P1(f317(f317(f225(a901),f317(a95,x69281)),x69282))+P1(f317(f317(f225(a1),x69281),f317(f90(a1),x69282)))
% 199.17/199.23 [6964]~P1(f317(f317(f224(a901),f317(a95,x69641)),f317(a95,x69642)))+~P1(f317(f317(f224(a1),f2(a1)),x69642))+P1(f317(f317(f224(a1),x69641),x69642))
% 199.17/199.23 [6965]~P1(f317(f317(f224(a901),f317(a95,x69651)),f317(a95,x69652)))+~P1(f317(f317(f225(a1),f2(a1)),x69651))+P1(f317(f317(f224(a1),x69651),x69652))
% 199.17/199.23 [6997]P1(f317(f317(f224(a1),x69971),x69972))+~P1(f317(f317(f224(a901),f317(f94(a901),x69971)),f317(f94(a901),x69972)))+P1(f317(f317(f224(a1),x69971),a77))
% 199.17/199.23 [7023]P1(f317(f317(f224(a1),f2(a1)),f40(a1,x70231,x70232)))+~P1(f317(f317(f224(a1),f2(a1)),x70232))+~P1(f317(f317(f224(a1),f2(a1)),x70231))
% 199.17/199.23 [7122]P1(f317(f317(f225(a1),a77),x71221))+~P1(f317(f317(f225(a1),x71222),x71221))+~P1(f317(f317(f225(a901),f317(f94(a901),x71222)),f317(f94(a901),x71221)))
% 199.17/199.23 [7176]E(f317(f317(f242(a1,a1),f317(f317(f30(a1),x71761),x71762)),f40(a1,x71761,x71762)),f45(x71761,x71762))+~P1(f317(f317(f225(a1),x71761),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x71762))
% 199.17/199.23 [7195]E(f317(f317(f242(a1,a1),f317(f317(f30(a1),x71951),x71952)),f40(a1,x71951,x71952)),f42(x71951,x71952))+~P1(f317(f317(f224(a1),f2(a1)),x71952))+~P1(f317(f317(f224(a1),f2(a1)),x71951))
% 199.17/199.23 [7249]~P99(x72492)+E(x72491,f103(x72492))+E(f317(f132(x72492,x72492,f75(x72492),f317(f131(x72492),x72491)),f317(f161(x72492),x72491)),f317(f57(x72492,f75(x72492)),f317(f162(x72492),x72491)))
% 199.17/199.23 [7364]~E(x73641,f2(a901))+E(f317(f132(a901,a901,f74(a901),x73641),x73642),f2(a901))+P1(f317(f317(f319(a901),f656(x73642,x73641)),f317(f162(a901),x73642)))
% 199.17/199.23 [7413]~P1(f317(f317(f224(a1),x74131),f2(a1)))+P1(f317(f317(f224(a1),f317(f317(f30(a1),x74131),x74132)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x74132))
% 199.17/199.23 [7414]~P1(f317(f317(f225(a1),x74142),f2(a1)))+P1(f317(f317(f224(a1),f317(f317(f30(a1),x74141),x74142)),f2(a1)))+~P1(f317(f317(f224(a1),f2(a1)),x74141))
% 199.17/199.23 [7415]~P1(f317(f317(f225(a1),x74152),f2(a1)))+P1(f317(f317(f225(a1),f317(f317(f30(a1),x74151),x74152)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x74151))
% 199.17/199.23 [7417]~P1(f317(f317(f225(a1),x74171),f2(a1)))+P1(f317(f317(f225(a1),f317(f317(f30(a1),x74171),x74172)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x74172))
% 199.17/199.23 [7425]P1(f317(f317(f319(f907(x74251,a897)),f553(x74252,x74251)),x74252))+~P1(f317(f28(f907(x74251,a897)),x74252))+P1(f317(f28(x74251),f31(f907(x74251,a897),x74252)))
% 199.17/199.23 [7508]P22(x75081,x75081,x75082,f232(f907(x75081,a897)))+~E(f317(f300(x75081,x75081,x75082),f232(f907(x75081,a897))),f232(f907(x75081,a897)))+~P1(f317(f28(x75081),f232(f907(x75081,a897))))
% 199.17/199.23 [7630]~P22(x76301,x76301,x76302,f232(f907(x76301,a897)))+E(f317(f300(x76301,x76301,x76302),f232(f907(x76301,a897))),f232(f907(x76301,a897)))+~P1(f317(f28(x76301),f232(f907(x76301,a897))))
% 199.17/199.23 [7767]E(f317(f317(f30(a1),x77671),x77672),f317(f94(a1),a87))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x77671),x77672)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x77671))
% 199.17/199.23 [7823]~P1(f317(f317(f225(a1),x78232),f2(a1)))+~P1(f317(f317(f225(a1),f317(f317(f30(a1),x78231),x78232)),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x78231))
% 199.17/199.23 [7828]E(f317(f317(f74(a1),x78281),x78282),f40(a1,x78281,x78282))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x78281),x78282)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x78281))
% 199.17/199.23 [7831]P1(f317(f317(f225(a1),x78311),f2(a1)))+~P1(f317(f317(f225(a1),f317(f317(f30(a1),x78311),x78312)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x78312))
% 199.17/199.23 [7847]~P150(x78472)+P149(x78471,f317(f317(f299(a896),f912(x78472)),f179(f907(a896,a897))))+~P149(x78471,f317(f317(f299(a896),f317(a911,f526(x78471,x78472))),f179(f907(a896,a897))))
% 199.17/199.23 [8521]~P108(x85211)+P11(x85211,x85212)+~P1(f317(f317(f224(x85211),f317(f317(f154(x85211),x85212),f691(x85212,x85211))),f317(f317(f154(x85211),x85212),f692(x85212,x85211))))
% 199.17/199.23 [8522]~P108(x85221)+P11(x85221,x85222)+~P1(f317(f317(f224(x85221),f317(f317(f154(x85221),x85222),f698(x85222,x85221))),f317(f317(f154(x85221),x85222),f703(x85222,x85221))))
% 199.17/199.23 [5760]E(x57601,f2(a1))+~E(f40(a1,x57602,x57601),f2(a1))+E(f317(f317(f30(a1),x57602),f317(f73(a1),x57601)),f317(f73(a1),f317(f317(f30(a1),x57602),x57601)))
% 199.17/199.23 [5778]~P37(x57782)+~P37(x57781)+P37(f317(f317(f91(f907(a1,a897)),x57781),x57782))
% 199.17/199.23 [5779]~P37(x57792)+~P37(x57791)+P37(f317(f317(f92(f907(a1,a897)),x57791),x57792))
% 199.17/199.23 [5797]~P61(x57971)+~P97(x57971)+E(f317(f73(x57971),f317(f317(f280(x57971),f72(x57971)),x57972)),f317(f317(f280(x57971),f317(f94(x57971),a87)),x57972))
% 199.17/199.23 [5924]E(x59241,f2(a1))+~E(f40(a1,x59242,x59241),f2(a1))+E(f317(f317(f30(a1),f317(f73(a1),x59242)),x59241),f317(f73(a1),f317(f317(f30(a1),x59242),x59241)))
% 199.17/199.23 [6065]~P108(x60651)+P11(x60651,x60652)+P1(f317(f317(f225(a901),f692(x60652,x60651)),f317(f180(f902(x60651)),x60652)))
% 199.17/199.23 [6066]~P108(x60661)+P11(x60661,x60662)+P1(f317(f317(f225(a901),f703(x60662,x60661)),f317(f180(f902(x60661)),x60662)))
% 199.17/199.23 [6226]~P97(x62261)+~E(f317(f94(x62261),x62262),f2(x62261))+P25(x62261,f317(f94(x62261),f317(f317(f74(a1),x62262),f317(f73(a1),a77))))
% 199.17/199.23 [6227]~P97(x62271)+~E(f317(f94(x62271),x62272),f2(x62271))+P25(x62271,f317(f94(x62271),f317(f317(f74(a1),a77),f317(f73(a1),x62272))))
% 199.17/199.23 [6229]E(f317(a46,f42(f317(f73(a1),x62291),f317(f73(a1),x62292))),f41(x62291,x62292))+P1(f317(f317(f224(a1),f2(a1)),x62291))+P1(f317(f317(f225(a1),f2(a1)),x62292))
% 199.17/199.23 [6357]~E(x63572,f2(a901))+~E(x63571,f2(a901))+P1(f317(f317(f224(a1),f317(f90(a1),x63571)),f317(f73(a1),f317(f90(a1),x63572))))
% 199.17/199.23 [6387]E(f317(f317(f74(a901),f317(f94(a901),x63871)),f317(f94(a901),x63872)),f317(f94(a901),f317(f317(f74(a1),x63871),x63872)))+P1(f317(f317(f225(a1),x63871),a77))+P1(f317(f317(f225(a1),x63872),a77))
% 199.17/199.23 [6519]~P80(x65191)+~P1(f317(f317(f224(x65191),f2(x65191)),x65192))+P1(f317(f317(f224(x65191),f317(f73(x65191),x65192)),x65192))
% 199.17/199.23 [6520]~P80(x65201)+~P1(f317(f317(f225(x65201),f2(x65201)),x65202))+P1(f317(f317(f225(x65201),f317(f73(x65201),x65202)),x65202))
% 199.17/199.23 [6698]E(f317(f317(f3(a901),f317(a95,x66981)),f317(a95,x66982)),f317(a95,f317(f317(f3(a1),x66981),x66982)))+~P1(f317(f317(f224(a1),f2(a1)),x66982))+~P1(f317(f317(f224(a1),x66982),x66981))
% 199.17/199.23 [6734]E(f317(a95,f40(a1,f317(f94(a1),x67341),f317(f94(a1),x67342))),f40(a901,f317(f94(a901),x67341),f317(f94(a901),x67342)))+P1(f317(a184,f317(f94(a1),x67341)))+P1(f317(a184,f317(f94(a1),x67342)))
% 199.17/199.23 [6751]~P80(x67511)+P1(f317(f317(f224(x67511),f2(x67511)),x67512))+~P1(f317(f317(f224(x67511),f317(f73(x67511),x67512)),x67512))
% 199.17/199.23 [6752]~P80(x67521)+P1(f317(f317(f225(x67521),f2(x67521)),x67522))+~P1(f317(f317(f225(x67521),f317(f73(x67521),x67522)),x67522))
% 199.17/199.23 [6764]~P80(x67641)+~P1(f317(f317(f224(x67641),f2(x67641)),x67642))+P1(f317(f317(f224(x67641),f2(x67641)),f317(f317(f74(x67641),x67642),x67642)))
% 199.17/199.23 [6766]~P80(x67661)+~P1(f317(f317(f225(x67661),f2(x67661)),x67662))+P1(f317(f317(f225(x67661),f2(x67661)),f317(f317(f74(x67661),x67662),x67662)))
% 199.17/199.23 [6777]E(f317(f317(f74(a901),f317(a95,x67771)),f317(a95,x67772)),f317(a95,f317(f317(f74(a1),x67771),x67772)))+~P1(f317(f317(f224(a1),f2(a1)),x67772))+~P1(f317(f317(f224(a1),f2(a1)),x67771))
% 199.17/199.23 [6789]E(x67891,f2(a901))+P1(f317(f317(f225(a901),f2(a901)),x67892))+~P1(f317(f317(f225(a901),f2(a901)),f317(f317(f234(a901),x67892),x67891)))
% 199.17/199.23 [6824]~P97(x68241)+E(f317(f94(x68241),x68242),f2(x68241))+~P25(x68241,f317(f94(x68241),f317(f317(f74(a1),a77),f317(f73(a1),x68242))))
% 199.17/199.23 [6825]~P97(x68251)+E(f317(f94(x68251),x68252),f2(x68251))+~P25(x68251,f317(f94(x68251),f317(f317(f74(a1),x68252),f317(f73(a1),a77))))
% 199.17/199.23 [6879]~P1(f317(f28(x68791),x68792))+~P1(f317(f28(x68791),f232(f907(x68791,a897))))+P1(f317(f28(x68791),f317(f73(f907(x68791,a897)),x68792)))
% 199.17/199.23 [6902]~P1(f317(f317(f225(a1),f2(a1)),x69022))+~P1(f317(f317(f224(a1),x69022),x69021))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f30(a1),x69021),x69022)))
% 199.17/199.23 [6903]~P1(f317(f317(f224(a1),x69031),f2(a1)))+~P1(f317(f317(f225(a1),x69032),f2(a1)))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f30(a1),x69031),x69032)))
% 199.17/199.23 [6938]~P1(f317(f317(f224(a1),f2(a1)),x69382))+~P1(f317(f317(f224(a1),f2(a1)),x69381))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),x69381),x69382)))
% 199.17/199.23 [6939]~P1(f317(f317(f224(a1),f2(a1)),x69392))+~P1(f317(f317(f224(a1),f2(a1)),x69391))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f75(a1),x69391),x69392)))
% 199.17/199.23 [6940]~P1(f317(f317(f224(a1),f2(a1)),x69402))+~P1(f317(f317(f224(a1),f2(a1)),x69401))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f30(a1),x69401),x69402)))
% 199.17/199.23 [6941]~P1(f317(f317(f224(a1),f2(a1)),x69411))+~P1(f317(f317(f225(a1),f2(a1)),x69412))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f30(a1),x69411),x69412)))
% 199.17/199.23 [6942]~P1(f317(f317(f225(a901),f2(a901)),x69422))+~P1(f317(f317(f225(a901),f2(a901)),x69421))+P1(f317(f317(f225(a901),f2(a901)),f317(f317(f75(a901),x69421),x69422)))
% 199.17/199.23 [7010]E(x70101,f2(a1))+E(f40(a1,x70102,x70101),f2(a1))+E(f317(f317(f3(a1),f317(f73(a1),f317(f317(f30(a1),x70102),x70101))),f72(a1)),f317(f317(f30(a1),f317(f73(a1),x70102)),x70101))
% 199.17/199.23 [7068]P1(f317(f317(f225(a901),f2(a901)),x70681))+P1(f317(f317(f225(a901),f2(a901)),x70682))+~P1(f317(f317(f225(a901),f2(a901)),f317(f317(f74(a901),x70682),x70681)))
% 199.17/199.23 [7072]~P80(x70721)+P1(f317(f317(f224(x70721),f2(x70721)),x70722))+~P1(f317(f317(f224(x70721),f2(x70721)),f317(f317(f74(x70721),x70722),x70722)))
% 199.17/199.23 [7073]~P80(x70731)+P1(f317(f317(f225(x70731),f2(x70731)),x70732))+~P1(f317(f317(f225(x70731),f2(x70731)),f317(f317(f74(x70731),x70732),x70732)))
% 199.17/199.23 [7123]~P1(f317(f28(x71231),x71232))+P1(f317(f28(x71231),f232(f907(x71231,a897))))+~P1(f317(f28(x71231),f317(f73(f907(x71231,a897)),x71232)))
% 199.17/199.23 [7187]P1(f317(f317(f224(a1),x71871),f2(a1)))+~P1(f317(f317(f225(a1),x71872),f2(a1)))+~P1(f317(f317(f224(a1),f2(a1)),f317(f317(f30(a1),x71871),x71872)))
% 199.17/199.23 [7193]~P1(f317(f317(f225(a1),f2(a1)),x71931))+P1(f317(f317(f224(a1),x71931),x71932))+~P1(f317(f317(f225(a1),f2(a1)),f317(f317(f30(a1),x71932),x71931)))
% 199.17/199.23 [7194]~P1(f317(f317(f224(a1),f2(a1)),x71942))+P1(f317(f317(f224(a1),x71941),x71942))+~P1(f317(f317(f225(a1),f2(a1)),f317(f317(f30(a1),x71942),x71941)))
% 199.17/199.23 [7224]P1(f317(f317(f224(a1),f2(a1)),x72241))+~P1(f317(f317(f225(a1),f2(a1)),x72242))+~P1(f317(f317(f224(a1),f2(a1)),f317(f317(f30(a1),x72241),x72242)))
% 199.17/199.23 [7225]P1(f317(f317(f225(a1),f2(a1)),x72251))+~P1(f317(f317(f224(a1),f2(a1)),x72252))+~P1(f317(f317(f225(a1),f2(a1)),f317(f317(f30(a1),x72252),x72251)))
% 199.17/199.23 [7661]~P1(f317(f28(x76612),f232(f907(x76612,a897))))+~P1(f317(f28(x76611),f232(f907(x76611,a897))))+P1(f317(f28(f906(x76611,x76612)),f232(f907(f906(x76611,x76612),a897))))
% 199.17/199.23 [7662]~P1(f317(f28(x76622),f232(f907(x76622,a897))))+~P1(f317(f28(x76621),f232(f907(x76621,a897))))+P1(f317(f28(f908(x76621,x76622)),f232(f907(f908(x76621,x76622),a897))))
% 199.17/199.23 [7731]~P1(f317(f317(f225(a901),f317(a102,f2(a901))),x77311))+~P1(f317(f317(f225(a901),f317(a102,f2(a901))),x77312))+P1(f317(f317(f225(a901),x77311),f317(f317(f75(a901),x77312),x77311)))
% 199.17/199.23 [7732]~P1(f317(f317(f225(a901),f317(a102,f2(a901))),x77321))+~P1(f317(f317(f225(a901),f317(a102,f2(a901))),x77322))+P1(f317(f317(f225(a901),x77321),f317(f317(f75(a901),x77321),x77322)))
% 199.17/199.23 [7766]E(f317(f29(x77661),f232(f907(x77661,a897))),f317(a102,f2(a901)))+P1(f317(f28(x77662),f232(f907(x77662,a897))))+~P1(f317(f28(f907(x77662,x77661)),f232(f907(f907(x77662,x77661),a897))))
% 199.17/199.23 [7896]~P1(f317(f317(f224(a901),f317(a102,f2(a901))),x78961))+~P1(f317(f317(f224(a901),f317(a102,f2(a901))),x78962))+P1(f317(f317(f224(a901),f317(a102,f2(a901))),f317(f317(f75(a901),x78961),x78962)))
% 199.17/199.23 [7897]~P1(f317(f317(f225(a901),f317(a102,f2(a901))),x78972))+~P1(f317(f317(f225(a901),f317(a102,f2(a901))),x78971))+P1(f317(f317(f225(a901),f317(a102,f2(a901))),f317(f317(f75(a901),x78971),x78972)))
% 199.17/199.23 [8569]E(x85691,f103(x85692))+~P1(f317(f127(x85692),x85691))+E(f167(x85692,f317(f317(f10(a897,a897,x85692),a312),f317(f317(f9(x85692,x85692,a897),a314),f134(x85692,x85691))),x85691),f104(x85692,x85691))
% 199.17/199.23 [8665]~P37(x86652)+~P37(x86651)+E(f317(f300(a901,a1,f90(a1)),f317(f317(f91(f907(a901,a897)),f317(f300(a1,a901,a95),x86651)),f317(f300(a1,a901,a95),x86652))),f317(f317(f91(f907(a1,a897)),x86651),x86652))
% 199.17/199.23 [8666]~P37(x86662)+~P37(x86661)+E(f317(f300(a901,a1,f90(a1)),f317(f317(f92(f907(a901,a897)),f317(f300(a1,a901,a95),x86661)),f317(f300(a1,a901,a95),x86662))),f317(f317(f92(f907(a1,a897)),x86661),x86662))
% 199.17/199.23 [9398]~P97(x93981)+~E(f317(f94(x93981),x93982),f72(x93981))+P25(x93981,f317(f94(x93981),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)),f317(f73(a1),x93982))))
% 199.17/199.23 [9631]~P97(x96311)+E(f317(f94(x96311),x96312),f72(x96311))+~P25(x96311,f317(f94(x96311),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)),f317(f73(a1),x96312))))
% 199.17/199.23 [10389]E(x103891,f2(a1))+E(x103892,f2(a1))+E(f317(f248(a1,a1,a1,a1,f25(a1),f317(f75(a1),f76(a1,x103892))),f317(f317(f317(f86(f906(a1,a1)),f317(f317(a314,f76(a1,x103891)),f76(a1,x103892))),f48(x103891,x103892)),f317(f317(f247(a1,a1,f906(a1,a1)),f317(f317(f20(a1,f907(a1,f906(a1,a1)),f907(a1,f906(a1,a1))),f317(f317(f10(f907(a1,f907(f906(a1,a1),f906(a1,a1))),f907(f907(a1,f906(a1,a1)),f907(a1,f906(a1,a1))),a1),f20(a1,f906(a1,a1),f906(a1,a1))),f317(f317(f10(f906(a1,a1),f907(a1,f907(f906(a1,a1),f906(a1,a1))),a1),f317(f9(a1,f906(a1,a1),f907(f906(a1,a1),f906(a1,a1))),f317(f317(f10(a897,f907(f906(a1,a1),f907(f906(a1,a1),f906(a1,a1))),a1),f86(f906(a1,a1))),f317(f317(f9(a1,a1,a897),a314),f2(a1))))),f317(f317(f9(a1,a1,f906(a1,a1)),f317(f317(f10(a1,f907(a1,f906(a1,a1)),a1),f242(a1,a1)),f73(a1))),f2(a1))))),f317(f317(f9(a1,f907(a1,a1),f907(a1,f906(a1,a1))),f317(f317(f10(f907(a1,f906(a1,a1)),f907(f907(a1,a1),f907(a1,f906(a1,a1))),a1),f10(a1,f906(a1,a1),a1)),f317(f317(f10(a1,f907(a1,f906(a1,a1)),a1),f242(a1,a1)),f317(f317(f9(a1,a1,a1),f317(f317(f10(a1,f907(a1,a1),a1),f3(a1)),f73(a1))),f72(a1))))),f317(f3(a1),f317(f70(a1),x103892))))),f48(x103891,x103892)))),f41(x103891,x103892))
% 199.17/199.23 [10390]E(x103901,f2(a1))+E(x103902,f2(a1))+E(f317(f248(a1,a1,a1,a1,f25(a1),f317(f75(a1),f76(a1,x103902))),f317(f317(f317(f86(f906(a1,a1)),f317(f317(a316,f317(f317(a315,f317(f317(f225(a1),f2(a1)),x103902)),f317(f317(f224(a1),f2(a1)),x103901))),f317(f317(a315,f317(f317(f225(a1),x103902),f2(a1))),f317(f317(f225(a1),x103901),f2(a1))))),f48(x103901,x103902)),f317(f317(f247(a1,a1,f906(a1,a1)),f317(f317(f20(a1,f907(a1,f906(a1,a1)),f907(a1,f906(a1,a1))),f317(f317(f10(f907(a1,f907(f906(a1,a1),f906(a1,a1))),f907(f907(a1,f906(a1,a1)),f907(a1,f906(a1,a1))),a1),f20(a1,f906(a1,a1),f906(a1,a1))),f317(f317(f10(f906(a1,a1),f907(a1,f907(f906(a1,a1),f906(a1,a1))),a1),f317(f9(a1,f906(a1,a1),f907(f906(a1,a1),f906(a1,a1))),f317(f317(f10(a897,f907(f906(a1,a1),f907(f906(a1,a1),f906(a1,a1))),a1),f86(f906(a1,a1))),f317(f317(f9(a1,a1,a897),a314),f2(a1))))),f317(f317(f9(a1,a1,f906(a1,a1)),f317(f317(f10(a1,f907(a1,f906(a1,a1)),a1),f242(a1,a1)),f73(a1))),f2(a1))))),f317(f317(f9(a1,f907(a1,a1),f907(a1,f906(a1,a1))),f317(f317(f10(f907(a1,f906(a1,a1)),f907(f907(a1,a1),f907(a1,f906(a1,a1))),a1),f10(a1,f906(a1,a1),a1)),f317(f317(f10(a1,f907(a1,f906(a1,a1)),a1),f242(a1,a1)),f317(f317(f9(a1,a1,a1),f317(f317(f10(a1,f907(a1,a1),a1),f3(a1)),f73(a1))),f72(a1))))),f317(f3(a1),f317(f70(a1),x103902))))),f48(x103901,x103902)))),f41(x103901,x103902))
% 199.17/199.23 [5786]~P119(x57861)+~P97(x57861)+E(f317(f70(x57861),f317(f317(f234(x57861),f317(f94(x57861),a87)),x57862)),f72(x57861))
% 199.17/199.23 [6296]~P141(x62961)+~P1(f317(f317(f225(a1),x62962),f2(a1)))+E(f317(f73(x62961),f317(f90(x62961),f317(a95,f317(f73(a1),x62962)))),f317(f93(x62961),x62962))
% 199.17/199.23 [6503]P1(f317(f317(f224(a89),x65031),f72(a89)))+E(f317(f317(f74(a89),f72(a89)),f262(x65031,f317(f317(f30(a89),x65032),x65031))),f262(x65031,x65032))+P1(f317(f317(f225(a89),x65032),x65031))
% 199.17/199.23 [6979]~E(x69792,f72(a901))+~P1(f317(f317(f225(a901),f2(a901)),x69791))+P1(f317(f317(f276(a901),f317(f317(f75(a901),x69791),x69792)),x69791))
% 199.17/199.23 [6980]~E(x69801,f72(a901))+~P1(f317(f317(f225(a901),f2(a901)),x69802))+P1(f317(f317(f276(a901),f317(f317(f75(a901),x69801),x69802)),x69802))
% 199.17/199.23 [7113]~P96(x71131)+~P1(f317(f317(f319(x71131),x71132),f100(x71131)))+~E(f317(f317(f74(x71131),f317(f317(f74(x71131),f72(x71131)),x71132)),x71132),f2(x71131))
% 199.17/199.23 [7226]~P1(f317(f317(f224(a1),x72262),f2(a1)))+~P1(f317(f317(f225(a1),x72261),f2(a1)))+E(f317(f241(a1,a1),f317(a46,f42(f317(f73(a1),x72261),f317(f73(a1),x72262)))),f317(f317(f30(a1),x72261),x72262))
% 199.17/199.23 [7243]~P1(f317(f317(f224(a1),x72432),f2(a1)))+~P1(f317(f317(f225(a1),x72431),f2(a1)))+E(f317(f246(a1,a1),f317(a46,f42(f317(f73(a1),x72431),f317(f73(a1),x72432)))),f40(a1,x72431,x72432))
% 199.17/199.23 [7251]~P1(f317(f317(f225(a1),x72512),f2(a1)))+E(f317(f241(a1,a1),f317(a46,f45(f317(f73(a1),x72511),f317(f73(a1),x72512)))),f317(f317(f30(a1),x72511),x72512))+~P1(f317(f317(f225(a1),f2(a1)),x72511))
% 199.17/199.23 [7269]~P1(f317(f317(f225(a1),x72692),f2(a1)))+E(f317(f246(a1,a1),f317(a46,f45(f317(f73(a1),x72691),f317(f73(a1),x72692)))),f40(a1,x72691,x72692))+~P1(f317(f317(f225(a1),f2(a1)),x72691))
% 199.17/199.23 [7320]E(f317(f317(f30(a1),f317(f317(f234(a1),x73201),x73202)),x73201),f317(f317(f234(a1),x73201),f317(f317(f3(a901),x73202),f317(a102,f2(a901)))))+~P1(f317(f317(f225(a901),f2(a901)),x73202))+~P1(f317(f317(f225(a1),f2(a1)),x73201))
% 199.17/199.23 [7421]~P1(f317(f317(f225(a901),f2(a901)),x74211))+~P1(f317(f317(f225(a901),f2(a901)),x74212))+P1(f317(f317(f225(a901),f317(f317(f3(a901),x74211),x74212)),x74211))
% 199.17/199.23 [7422]~P1(f317(f317(f225(a901),f2(a901)),x74221))+~P1(f317(f317(f225(a901),f72(a901)),x74222))+P1(f317(f317(f225(a901),f317(f317(f30(a901),x74221),x74222)),x74221))
% 199.17/199.23 [7423]~P1(f317(f317(f225(a1),f2(a1)),x74231))+~P1(f317(f317(f225(a1),f72(a1)),x74232))+P1(f317(f317(f225(a1),f317(f317(f30(a1),x74231),x74232)),x74231))
% 199.17/199.23 [7553]E(x75531,f2(a901))+~E(x75532,f2(a1))+~P1(f317(f317(f225(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x75532)),x75531)))
% 199.17/199.23 [7594]E(x75941,f72(a901))+~P1(f317(f317(f225(a901),f2(a901)),x75942))+~P1(f317(f317(f276(a901),f317(f317(f75(a901),x75942),x75941)),x75942))
% 199.17/199.23 [7595]E(x75951,f72(a901))+~P1(f317(f317(f225(a901),f2(a901)),x75952))+~P1(f317(f317(f276(a901),f317(f317(f75(a901),x75951),x75952)),x75952))
% 199.17/199.23 [7977]~E(x79772,f103(f902(x79771)))+E(f317(f180(f902(f902(x79771))),f169(x79771,x79772)),f2(a901))+~P11(a901,f317(f158(a901),f317(f317(f144(f902(x79771),a901),f180(f902(x79771))),x79772)))
% 199.17/199.23 [8224]P1(f317(x82241,x82242))+~P1(f317(x82241,f317(a97,f521(x82241,x82242))))+~P1(f317(f317(f319(f907(f906(a901,a901),a897)),x82242),a88))
% 199.17/199.23 [8241]E(x82411,f103(f902(x82412)))+E(f317(f180(f902(x82412)),f317(f317(f154(f902(x82412)),x82411),f2(a901))),f317(f180(f902(f902(x82412))),f169(x82412,x82411)))+~P11(a901,f317(f158(a901),f317(f317(f144(f902(x82412),a901),f180(f902(x82412))),x82411)))
% 199.17/199.23 [8380]~P35(x83801,x83802)+~P36(x83801,x83802)+P35(x83801,f317(f317(f3(f907(f906(x83801,x83801),a897)),x83802),f297(x83801,f179(f907(f906(x83801,x83801),a897)))))
% 199.17/199.23 [8943]~P1(f317(f28(x89431),f317(f252(x89431),x89432)))+~P1(f317(f28(x89431),f232(f907(x89431,a897))))+P1(f317(f28(x89431),f317(f252(x89431),f317(f317(f10(a897,a897,x89431),a312),x89432))))
% 199.17/199.23 [9009]E(f317(f317(f242(a901,a901),f317(a102,f317(f317(f30(a901),f317(f317(f3(a901),x90091),x90092)),x90092))),f40(a901,f317(f317(f3(a901),x90091),x90092),x90092)),f79(f906(a901,a901),f43(x90091,x90092)))+~P1(f317(f317(f225(a901),f2(a901)),x90092))+~P1(f317(f317(f224(a901),x90092),x90091))
% 199.17/199.23 [9289]~P1(f317(f28(x92891),f317(f252(x92891),x92892)))+P1(f317(f28(x92891),f232(f907(x92891,a897))))+~P1(f317(f28(x92891),f317(f252(x92891),f317(f317(f10(a897,a897,x92891),a312),x92892))))
% 199.17/199.23 [10040]P24(x100401,x100402)+~P34(x100401,f317(f241(f907(f906(x100401,x100401),a897),f907(f906(x100401,x100401),a897)),x100402))+~P1(f317(f317(f224(f907(f906(x100401,x100401),a897)),f317(f317(f278(x100401,x100401,x100401),f317(f241(f907(f906(x100401,x100401),a897),f907(f906(x100401,x100401),a897)),x100402)),f317(f246(f907(f906(x100401,x100401),a897),f907(f906(x100401,x100401),a897)),x100402))),f317(f241(f907(f906(x100401,x100401),a897),f907(f906(x100401,x100401),a897)),x100402)))
% 199.17/199.23 [10121]~E(f289(a901,f276(a901),f317(f317(f20(a901,f907(a901,a897),f907(a901,a897)),f317(f317(f10(f907(a901,f907(a897,a897)),f907(f907(a901,a897),f907(a901,a897)),a901),f20(a901,a897,a897)),f317(f317(f10(f907(a901,a897),f907(a901,f907(a897,a897)),a901),f317(f10(a897,f907(a897,a897),a901),a315)),f276(a901)))),f317(f317(f10(f907(a901,a897),f907(a901,a897),a901),f317(f10(a897,a897,a901),a312)),f317(f9(a901,a901,a897),f276(a901)))),x101212,x101211),f179(f907(a901,a897)))+~P1(f317(f317(f276(a901),x101212),x101211))+P1(f317(f317(f276(a901),x101211),x101212))
% 199.17/199.23 [10122]~E(f286(a901,f276(a901),f317(f317(f20(a901,f907(a901,a897),f907(a901,a897)),f317(f317(f10(f907(a901,f907(a897,a897)),f907(f907(a901,a897),f907(a901,a897)),a901),f20(a901,a897,a897)),f317(f317(f10(f907(a901,a897),f907(a901,f907(a897,a897)),a901),f317(f10(a897,f907(a897,a897),a901),a315)),f276(a901)))),f317(f317(f10(f907(a901,a897),f907(a901,a897),a901),f317(f10(a897,a897,a901),a312)),f317(f9(a901,a901,a897),f276(a901)))),x101222,x101221),f179(f907(a901,a897)))+~P1(f317(f317(f276(a901),x101222),x101221))+P1(f317(f317(f276(a901),x101221),x101222))
% 199.17/199.23 [7350]~P1(f317(f317(f225(a901),f2(a901)),x73502))+P1(f317(f317(f225(a901),x73501),x73502))+E(f317(a102,f317(f317(f30(a901),f317(f317(f3(a901),x73501),x73502)),x73502)),f317(f317(f30(a901),x73501),x73502))
% 199.17/199.23 [7481]~P1(f317(f317(f225(a901),f2(a901)),x74812))+~P1(f317(f317(f224(a901),x74812),x74811))+E(f317(a102,f317(f317(f30(a901),f317(f317(f3(a901),x74811),x74812)),x74812)),f317(f317(f30(a901),x74811),x74812))
% 199.17/199.23 [8544]~P97(x85441)+~P96(x85441)+~P25(x85441,f317(f94(x85441),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x85442)),x85442)))
% 199.17/199.23 [9186]E(x91861,f2(a901))+E(f317(f317(f247(a901,a901,f906(a901,a901)),f317(f317(f10(a901,f907(a901,f906(a901,a901)),a901),f242(a901,a901)),a102)),f79(f906(a901,a901),f43(f317(f317(f3(a901),x91862),x91861),x91861))),f79(f906(a901,a901),f43(x91862,x91861)))+P1(f317(f317(f225(a901),x91862),x91861))
% 199.17/199.23 [9378]~P35(x93781,x93782)+~P49(x93781,x93782)+P1(f317(f317(f224(f907(f906(x93781,x93781),a897)),f317(f317(f278(x93781,x93781,x93781),f317(f275(x93781,x93781),x93782)),x93782)),x93782))
% 199.17/199.23 [9651]P1(f317(x96512,f598(x96512,x96511)))+P1(f317(x96511,f598(x96512,x96511)))+E(f317(f252(a1),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a315),f317(f224(a1),f2(a1)))),x96511)),f317(f252(a1),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a315),f317(f224(a1),f2(a1)))),x96512)))
% 199.17/199.23 [9655]~P1(f317(x96552,f598(x96552,x96551)))+~P1(f317(x96551,f598(x96552,x96551)))+E(f317(f252(a1),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a315),f317(f224(a1),f2(a1)))),x96551)),f317(f252(a1),f317(f317(f20(a1,a897,a897),f317(f317(f10(a897,f907(a897,a897),a1),a315),f317(f224(a1),f2(a1)))),x96552)))
% 199.17/199.23 [10198]~P1(f317(f317(f276(a901),x101982),x101981))+P1(f317(f317(f276(a901),x101981),x101982))+P1(f317(f317(f319(a901),x101981),f284(a901,f317(f317(f20(a901,f907(a901,a897),f907(a901,a897)),f317(f317(f10(f907(a901,f907(a897,a897)),f907(f907(a901,a897),f907(a901,a897)),a901),f20(a901,a897,a897)),f317(f317(f10(f907(a901,a897),f907(a901,f907(a897,a897)),a901),f317(f10(a897,f907(a897,a897),a901),a315)),f276(a901)))),f317(f317(f10(f907(a901,a897),f907(a901,a897),a901),f317(f10(a897,a897,a901),a312)),f317(f9(a901,a901,a897),f276(a901)))),x101982)))
% 199.17/199.23 [10199]~P1(f317(f317(f276(a901),x101992),x101991))+P1(f317(f317(f276(a901),x101991),x101992))+P1(f317(f317(f319(a901),x101992),f287(a901,f317(f317(f20(a901,f907(a901,a897),f907(a901,a897)),f317(f317(f10(f907(a901,f907(a897,a897)),f907(f907(a901,a897),f907(a901,a897)),a901),f20(a901,a897,a897)),f317(f317(f10(f907(a901,a897),f907(a901,f907(a897,a897)),a901),f317(f10(a897,f907(a897,a897),a901),a315)),f276(a901)))),f317(f317(f10(f907(a901,a897),f907(a901,a897),a901),f317(f10(a897,a897,a901),a312)),f317(f9(a901,a901,a897),f276(a901)))),x101991)))
% 199.17/199.23 [7934]~P62(x79341)+~P97(x79341)+E(f317(f317(f280(x79341),x79342),f317(f94(x79341),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),x79342)
% 199.17/199.23 [9397]~P97(x93971)+~E(f317(f94(x93971),x93972),f72(x93971))+P25(x93971,f317(f94(x93971),f317(f317(f74(a1),x93972),f317(f73(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)))))
% 199.17/199.23 [9632]~P97(x96321)+E(f317(f94(x96321),x96322),f72(x96321))+~P25(x96321,f317(f94(x96321),f317(f317(f74(a1),x96322),f317(f73(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)))))
% 199.17/199.23 [10074]~P140(x100741)+~E(x100742,f72(x100741))+E(f317(f317(f234(x100741),x100742),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f72(x100741))
% 199.17/199.23 [10075]~P140(x100751)+~E(x100752,f2(x100751))+E(f317(f317(f234(x100751),x100752),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f2(x100751))
% 199.17/199.23 [10078]~P140(x100781)+~E(x100782,f317(f73(x100781),f72(x100781)))+E(f317(f317(f234(x100781),x100782),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f72(x100781))
% 199.17/199.23 [10219]~P119(x102192)+E(x102191,f2(x102192))+P1(f317(f317(f225(x102192),f2(x102192)),f317(f317(f234(x102192),x102191),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))))
% 199.17/199.23 [10269]~P119(x102692)+~E(x102691,f2(x102692))+~P1(f317(f317(f225(x102692),f2(x102692)),f317(f317(f234(x102692),x102691),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))))
% 199.17/199.23 [10288]P1(f317(f317(f224(a1),x102881),f2(a1)))+P1(f317(f317(f225(a1),x102882),x102881))+E(f317(f38(x102881),f42(x102882,f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x102881))),f42(x102882,x102881))
% 199.17/199.23 [10289]~P1(f317(f317(f225(a1),f2(a1)),x102891))+P1(f317(f317(f225(a1),x102892),x102891))+E(f317(f38(x102891),f42(x102892,f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x102891))),f42(x102892,x102891))
% 199.17/199.23 [10290]P1(f317(f317(f224(a1),x102901),f2(a1)))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),x102902),x102901)))+E(f317(f38(x102901),f45(x102902,f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x102901))),f45(x102902,x102901))
% 199.17/199.23 [10291]~P1(f317(f317(f225(a1),f2(a1)),x102911))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),x102912),x102911)))+E(f317(f38(x102911),f45(x102912,f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x102911))),f45(x102912,x102911))
% 199.17/199.23 [10292]~P146(x102921)+~P1(f317(f317(f224(a1),f2(a1)),x102922))+E(f317(f90(x102921),f317(a95,f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x102922))),f317(f317(f74(x102921),f317(f90(x102921),f317(a95,x102922))),f317(f90(x102921),f317(a95,x102922))))
% 199.17/199.23 [5118]~P147(x51181,x51182,x51183)+~E(x51183,f2(a1))+P1(f317(x51181,x51182))
% 199.17/199.23 [5241]~P108(x52411)+~P11(x52411,x52413)+P11(x52411,f160(x52411,x52412,x52413))
% 199.17/199.23 [5242]~P108(x52421)+~P11(x52421,x52423)+P11(x52421,f167(x52421,x52422,x52423))
% 199.17/199.23 [4807]~P78(x48072)+~E(x48073,f317(f73(x48072),x48071))+E(x48071,f317(f73(x48072),x48073))
% 199.17/199.23 [4809]~P78(x48091)+~E(f317(f73(x48091),x48093),x48092)+E(f317(f73(x48091),x48092),x48093)
% 199.17/199.23 [4888]~P78(x48883)+E(x48881,x48882)+~E(f317(f73(x48883),x48881),f317(f73(x48883),x48882))
% 199.17/199.23 [4889]~P89(x48893)+E(x48891,x48892)+~E(f317(f73(x48893),x48891),f317(f73(x48893),x48892))
% 199.17/199.23 [4890]~P104(x48903)+E(x48901,x48902)+~E(f317(f90(x48903),x48901),f317(f90(x48903),x48902))
% 199.17/199.23 [4891]~P96(x48913)+E(x48911,x48912)+~E(f317(f93(x48913),x48911),f317(f93(x48913),x48912))
% 199.17/199.23 [4892]~P108(x48923)+E(x48921,x48922)+~E(f317(f292(x48923),x48921),f317(f292(x48923),x48922))
% 199.17/199.23 [4893]~P108(x48933)+E(x48931,x48932)+~E(f317(f291(x48933),x48931),f317(f291(x48933),x48932))
% 199.17/199.23 [4894]~P108(x48943)+E(x48941,x48942)+~E(f317(f272(x48943),x48941),f317(f272(x48943),x48942))
% 199.17/199.23 [4895]~P108(x48953)+E(x48951,x48952)+~E(f317(f290(x48953),x48951),f317(f290(x48953),x48952))
% 199.17/199.23 [4996]~P60(x49961)+~P1(f317(x49962,x49963))+P1(f317(f51(x49961),x49962))
% 199.17/199.23 [5036]~P60(x50363)+P1(f317(x50361,x50362))+~P1(f317(f52(x50363),x50361))
% 199.17/199.23 [5138]~P148(x51381,x51383,x51382)+~E(x51382,f2(a1))+P1(f317(x51381,f2(a1)))
% 199.17/199.23 [5178]~E(x51781,f2(a901))+E(f324(x51781,x51782,x51783),f179(f907(x51783,a897)))+~E(f317(f29(x51783),x51782),f317(a102,x51781))
% 199.17/199.23 [5325]~E(x53252,f2(a901))+E(f317(f241(a901,a901),x53251),f2(a901))+~P1(f317(f43(x53253,x53252),x53251))
% 199.17/199.23 [5364]P1(f317(x53641,x53642))+~E(x53643,f317(f90(a1),x53642))+~P1(f317(x53641,f317(a95,x53643)))
% 199.17/199.23 [5850]~E(x58503,f2(a901))+~P1(f317(x58501,x58502))+P1(f317(x58501,f40(a901,x58502,x58503)))
% 199.17/199.23 [6094]~P105(x60942)+~P105(x60941)+E(f121(x60941,x60942,f122(x60941,x60943),f122(x60942,x60943)),f122(f906(x60941,x60942),x60943))
% 199.17/199.23 [6277]~E(x62773,f2(a901))+P1(f317(x62771,x62772))+~P1(f317(x62771,f40(a901,x62772,x62773)))
% 199.17/199.23 [6963]E(x69631,f2(a901))+~P1(f317(x69632,f367(x69631,x69633,x69632)))+P1(f317(x69632,f40(a901,x69633,x69631)))
% 199.17/199.23 [7078]~P3(x70781)+~P1(f317(f317(f224(x70781),x70782),f888(x70783,x70782,x70781)))+P1(f317(f317(f224(x70781),x70782),f32(x70781,x70783)))
% 199.17/199.23 [7080]~P1(f317(x70801,x70802))+~P1(f317(x70801,f367(x70803,x70802,x70801)))+P1(f317(x70801,f40(a901,x70802,x70803)))
% 199.17/199.23 [7182]E(x71821,f103(x71822))+E(f317(f317(f141(x71822),f672(x71823,x71821,x71822)),f675(x71823,x71821,x71822)),x71821)+~P1(f317(f317(f319(f902(x71822)),x71821),f151(x71822,x71823)))
% 199.17/199.23 [7212]~P141(x72121)+~P1(f317(f317(f319(x72121),x72122),f100(x72121)))+P1(f317(f317(f319(x72121),f317(f317(f234(x72121),x72122),x72123)),f100(x72121)))
% 199.17/199.23 [7526]P34(x75261,x75262)+~P1(f317(f317(f319(x75261),x75263),f585(x75262,x75261)))+P1(f317(f317(f319(x75261),f596(x75262,x75261,x75263)),f585(x75262,x75261)))
% 199.17/199.23 [7794]E(x77941,f103(x77942))+~P1(f317(f317(f319(f902(x77942)),x77941),f151(x77942,x77943)))+P1(f317(f317(f319(f902(x77942)),f675(x77943,x77941,x77942)),f151(x77942,x77943)))
% 199.17/199.23 [7845]E(x78451,f2(a901))+E(f317(f317(f74(a901),f317(f317(f75(a901),x78451),f368(x78451,x78452,x78453))),f367(x78451,x78452,x78453)),x78452)+P1(f317(x78453,f40(a901,x78452,x78451)))
% 199.17/199.23 [7891]~P1(f317(x78913,x78912))+E(f317(f317(f74(a901),f317(f317(f75(a901),x78911),f368(x78911,x78912,x78913))),f367(x78911,x78912,x78913)),x78912)+P1(f317(x78913,f40(a901,x78912,x78911)))
% 199.17/199.23 [8029]P1(f317(f317(f225(a1),x80291),f354(x80292,x80293,x80291)))+P1(f317(f317(x80293,f317(f317(f30(a1),x80292),x80291)),f40(a1,x80292,x80291)))+~P1(f317(f317(f225(a1),x80291),f2(a1)))
% 199.17/199.23 [8296]P1(f317(f317(x82962,f317(f317(f30(a1),x82961),x82963)),f40(a1,x82961,x82963)))+~P1(f317(f317(f225(a1),x82963),f2(a1)))+P1(f317(f317(f224(a1),f354(x82961,x82962,x82963)),f2(a1)))
% 199.17/199.23 [8475]E(f317(f317(f74(a1),f317(f317(f75(a1),x84751),f357(x84752,x84753,x84751))),f354(x84752,x84753,x84751)),x84752)+P1(f317(f317(x84753,f317(f317(f30(a1),x84752),x84751)),f40(a1,x84752,x84751)))+~P1(f317(f317(f225(a1),x84751),f2(a1)))
% 199.17/199.23 [8711]~P1(f317(f317(x87111,f357(x87112,x87111,x87113)),f354(x87112,x87111,x87113)))+P1(f317(f317(x87111,f317(f317(f30(a1),x87112),x87113)),f40(a1,x87112,x87113)))+~P1(f317(f317(f225(a1),x87113),f2(a1)))
% 199.17/199.23 [8957]~P108(x89571)+~P11(x89571,x89573)+P11(x89571,f139(x89571,x89571,f7(x89571),x89572,x89573))
% 199.17/199.23 [9458]~P128(x94582)+E(x94581,f2(x94582))+~P1(f317(f317(f224(x94582),f317(f317(f74(x94582),f317(f317(f75(x94582),x94583),x94583)),f317(f317(f75(x94582),x94581),x94581))),f2(x94582)))
% 199.17/199.23 [9459]~P128(x94592)+E(x94591,f2(x94592))+~P1(f317(f317(f224(x94592),f317(f317(f74(x94592),f317(f317(f75(x94592),x94591),x94591)),f317(f317(f75(x94592),x94593),x94593))),f2(x94592)))
% 199.17/199.23 [10378]~P119(x103781)+~P1(f317(f317(f225(x103781),x103782),f2(x103781)))+P1(f317(f317(f225(x103781),f317(f317(f234(x103781),x103782),f317(a102,f317(f317(f75(a901),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x103783)))),f2(x103781)))
% 199.17/199.23 [10384]~P119(x103842)+E(x103841,f2(x103842))+~P1(f317(f317(f224(x103842),f317(f317(f74(x103842),f317(f317(f234(x103842),x103843),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))),f317(f317(f234(x103842),x103841),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))))),f2(x103842)))
% 199.17/199.23 [10385]~P119(x103852)+E(x103851,f2(x103852))+~P1(f317(f317(f224(x103852),f317(f317(f74(x103852),f317(f317(f234(x103852),x103851),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))),f317(f317(f234(x103852),x103853),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))))),f2(x103852)))
% 199.17/199.23 [4843]~E(x48432,x48433)+~P71(x48431)+E(f317(f317(f3(x48431),x48432),x48433),f2(x48431))
% 199.17/199.23 [4844]~E(x48442,x48443)+~P78(x48441)+E(f317(f317(f3(x48441),x48442),x48443),f2(x48441))
% 199.17/199.23 [4857]~P143(x48571)+~E(x48573,f2(x48571))+E(f317(f317(f74(x48571),x48572),x48573),x48572)
% 199.17/199.23 [4875]~P142(x48751)+~E(x48753,f2(x48751))+E(f317(f317(f75(x48751),x48752),x48753),f2(x48751))
% 199.17/199.23 [4876]~P142(x48761)+~E(x48762,f2(x48761))+E(f317(f317(f75(x48761),x48762),x48763),f2(x48761))
% 199.17/199.23 [4897]~E(x48973,f103(x48971))+~E(x48972,f103(x48971))+E(f317(f317(f124(x48971),x48972),x48973),f103(x48971))
% 199.17/199.23 [4986]~P143(x49862)+E(x49861,f2(x49862))+~E(f317(f317(f74(x49862),x49863),x49861),x49863)
% 199.17/199.23 [4987]~P78(x49871)+~E(x49872,f317(f73(x49871),x49873))+E(f317(f317(f74(x49871),x49872),x49873),f2(x49871))
% 199.17/199.23 [4994]E(x49941,f103(x49942))+E(x49943,f2(a901))+~E(f317(f317(f165(x49942),x49943),x49941),f103(x49942))
% 199.17/199.23 [5004]~P71(x50043)+E(x50041,x50042)+~E(f317(f317(f3(x50043),x50041),x50042),f2(x50043))
% 199.17/199.23 [5005]~P78(x50053)+E(x50051,x50052)+~E(f317(f317(f3(x50053),x50051),x50052),f2(x50053))
% 199.17/199.23 [5018]~P140(x50182)+E(x50181,f2(x50182))+~E(f317(f317(f234(x50182),x50181),x50183),f2(x50182))
% 199.17/199.23 [5019]~P69(x50192)+E(x50191,f179(x50192))+~E(f317(f317(f91(x50192),x50193),x50191),f179(x50192))
% 199.17/199.23 [5020]~P69(x50202)+E(x50201,f179(x50202))+~E(f317(f317(f91(x50202),x50201),x50203),f179(x50202))
% 199.17/199.23 [5021]~P102(x50212)+E(x50211,f232(x50212))+~E(f317(f317(f92(x50212),x50213),x50211),f232(x50212))
% 199.17/199.23 [5022]~P102(x50222)+E(x50221,f232(x50222))+~E(f317(f317(f92(x50222),x50221),x50223),f232(x50222))
% 199.17/199.23 [5092]~P78(x50922)+E(x50921,f317(f73(x50922),x50923))+~E(f317(f317(f74(x50922),x50921),x50923),f2(x50922))
% 199.17/199.23 [5093]~P78(x50931)+E(f317(f73(x50931),x50932),x50933)+~E(f317(f317(f74(x50931),x50932),x50933),f2(x50931))
% 199.17/199.23 [5095]~E(x50952,x50953)+~P65(x50951)+P1(f317(f317(f224(x50951),x50952),x50953))
% 199.17/199.23 [5097]~E(x50972,x50973)+~P109(x50971)+P1(f317(f317(f224(x50971),x50972),x50973))
% 199.17/199.23 [5195]~P120(x51951)+~E(x51952,f317(f73(x51951),x51953))+E(f317(f317(f75(x51951),x51952),x51952),f317(f317(f75(x51951),x51953),x51953))
% 199.17/199.23 [5203]~P108(x52031)+~P11(x52031,x52033)+P11(x52031,f317(f317(f165(x52031),x52032),x52033))
% 199.17/199.23 [5204]~P108(x52041)+~P11(x52041,x52043)+P11(x52041,f317(f317(f128(x52041),x52042),x52043))
% 199.17/199.23 [5239]E(x52391,x52392)+E(x52393,f2(a901))+~E(f317(f317(f75(a901),x52393),x52391),f317(f317(f75(a901),x52393),x52392))
% 199.17/199.23 [5240]E(x52401,x52402)+E(x52403,f2(a901))+~E(f317(f317(f75(a901),x52401),x52403),f317(f317(f75(a901),x52402),x52403))
% 199.17/199.23 [5318]~E(x53182,x53183)+~P109(x53181)+E(f294(x53181,x53182,x53183),f317(f317(f299(x53181),x53182),f179(f907(x53181,a897))))
% 199.17/199.23 [5353]~P119(x53531)+~E(f317(f70(x53531),x53532),f317(f70(x53531),x53533))+P1(f317(f317(f276(x53531),x53532),x53533))
% 199.17/199.23 [5361]~E(x53611,x53612)+~P108(x53613)+~P1(f317(f317(f225(x53613),x53611),x53612))
% 199.17/199.23 [5362]~E(x53621,x53622)+~P109(x53623)+~P1(f317(f317(f225(x53623),x53621),x53622))
% 199.17/199.23 [5375]~P109(x53751)+E(f317(f293(x53751,x53752),x53753),f179(f907(x53751,a897)))+P1(f317(f317(f225(x53751),x53752),x53753))
% 199.17/199.23 [5426]~P109(x54261)+E(f295(x54261,x54262,x54263),f179(f907(x54261,a897)))+P1(f317(f317(f225(x54261),x54262),x54263))
% 199.17/199.23 [5427]~P109(x54271)+E(f294(x54271,x54272,x54273),f179(f907(x54271,a897)))+P1(f317(f317(f224(x54271),x54272),x54273))
% 199.17/199.23 [5428]~P109(x54281)+E(f179(f907(x54281,a897)),f295(x54281,x54282,x54283))+P1(f317(f317(f225(x54281),x54282),x54283))
% 199.17/199.23 [5429]~P109(x54291)+E(f179(f907(x54291,a897)),f294(x54291,x54292,x54293))+P1(f317(f317(f224(x54291),x54292),x54293))
% 199.17/199.23 [5437]~P67(x54371)+~E(f317(f317(f91(x54371),x54372),x54373),x54373)+P1(f317(f317(f224(x54371),x54372),x54373))
% 199.17/199.23 [5438]~P108(x54381)+~E(f317(f317(f228(x54381),x54382),x54383),x54382)+P1(f317(f317(f224(x54381),x54382),x54383))
% 199.17/199.23 [5439]~P108(x54391)+~E(f317(f317(f178(x54391),x54392),x54393),x54393)+P1(f317(f317(f224(x54391),x54392),x54393))
% 199.17/199.23 [5440]~P103(x54401)+~E(f317(f317(f92(x54401),x54402),x54403),x54402)+P1(f317(f317(f224(x54401),x54402),x54403))
% 199.17/199.23 [5459]~P108(x54591)+P11(x54591,x54592)+~P11(x54591,f317(f317(f141(x54591),x54593),x54592))
% 199.17/199.23 [5460]~P108(x54601)+P11(x54601,x54602)+~P11(x54601,f317(f317(f124(x54601),x54603),x54602))
% 199.17/199.23 [5461]~P108(x54611)+P11(x54611,x54612)+~P11(x54611,f317(f317(f124(x54611),x54612),x54613))
% 199.17/199.23 [5466]~P58(x54661)+~E(f40(x54661,x54663,x54662),f2(x54661))+P1(f317(f317(f276(x54661),x54662),x54663))
% 199.17/199.23 [5528]~P108(x55281)+P1(f317(f317(f224(x55281),x55283),x55282))+P1(f317(f317(f224(x55281),x55282),x55283))
% 199.17/199.23 [5533]~P108(x55331)+P1(f317(f317(f225(x55331),x55333),x55332))+P1(f317(f317(f224(x55331),x55332),x55333))
% 199.17/199.23 [5569]~P67(x55691)+E(f317(f317(f91(x55691),x55692),x55693),x55692)+~P1(f317(f317(f224(x55691),x55693),x55692))
% 199.17/199.23 [5571]~P67(x55711)+E(f317(f317(f91(x55711),x55712),x55713),x55713)+~P1(f317(f317(f224(x55711),x55712),x55713))
% 199.17/199.23 [5572]~P108(x55721)+E(f317(f317(f228(x55721),x55722),x55723),x55723)+~P1(f317(f317(f224(x55721),x55723),x55722))
% 199.17/199.23 [5574]~P108(x55741)+E(f317(f317(f228(x55741),x55742),x55743),x55742)+~P1(f317(f317(f224(x55741),x55742),x55743))
% 199.17/199.23 [5575]~P108(x55751)+E(f317(f317(f178(x55751),x55752),x55753),x55752)+~P1(f317(f317(f224(x55751),x55753),x55752))
% 199.17/199.23 [5577]~P108(x55771)+E(f317(f317(f178(x55771),x55772),x55773),x55773)+~P1(f317(f317(f224(x55771),x55772),x55773))
% 199.17/199.23 [5578]~P103(x55781)+E(f317(f317(f92(x55781),x55782),x55783),x55783)+~P1(f317(f317(f224(x55781),x55783),x55782))
% 199.17/199.23 [5580]~P103(x55801)+E(f317(f317(f92(x55801),x55802),x55803),x55802)+~P1(f317(f317(f224(x55801),x55802),x55803))
% 199.17/199.23 [5587]~P122(x55872)+E(x55871,f2(x55872))+E(f317(f317(f280(x55872),f317(f73(x55872),x55873)),f317(f73(x55872),x55871)),f317(f317(f280(x55872),x55873),x55871))
% 199.17/199.23 [5594]~P58(x55941)+E(f40(x55941,x55942,x55943),f2(x55941))+~P1(f317(f317(f276(x55941),x55943),x55942))
% 199.17/199.23 [5640]~P109(x56401)+E(f317(f293(x56401,x56402),x56403),f179(f907(x56401,a897)))+~P1(f317(f317(f224(x56401),x56403),x56402))
% 199.17/199.23 [5675]~P109(x56751)+E(f296(x56751,x56752,x56753),f179(f907(x56751,a897)))+~P1(f317(f317(f224(x56751),x56753),x56752))
% 199.17/199.23 [5676]~P109(x56761)+E(f295(x56761,x56762,x56763),f179(f907(x56761,a897)))+~P1(f317(f317(f224(x56761),x56763),x56762))
% 199.17/199.23 [5677]~P109(x56771)+E(f294(x56771,x56772,x56773),f179(f907(x56771,a897)))+~P1(f317(f317(f225(x56771),x56773),x56772))
% 199.17/199.23 [5729]~E(f317(f317(f3(a901),x57291),x57293),x57292)+E(x57291,f317(f317(f74(a901),x57292),x57293))+~P1(f317(f317(f224(a901),x57293),x57291))
% 199.17/199.23 [5730]~E(x57301,f317(f317(f74(a901),x57303),x57302))+E(f317(f317(f3(a901),x57301),x57302),x57303)+~P1(f317(f317(f224(a901),x57302),x57301))
% 199.17/199.23 [5775]~P1(f317(x57751,x57753))+P1(f317(x57751,f393(x57751,x57752)))+~P1(f317(f317(f224(a901),x57753),x57752))
% 199.17/199.23 [5776]~P1(f317(x57761,x57763))+P1(f317(x57761,f412(x57761,x57762)))+~P1(f317(f317(f225(a901),x57763),x57762))
% 199.17/199.23 [5784]~P109(x57841)+~E(f317(f293(x57841,x57842),x57843),f179(f907(x57841,a897)))+~P1(f317(f317(f225(x57841),x57842),x57843))
% 199.17/199.23 [5789]~P65(x57891)+~P1(f317(f317(f225(x57891),x57892),x57893))+P1(f317(f317(f224(x57891),x57892),x57893))
% 199.17/199.23 [5791]~P109(x57911)+~P1(f317(f317(f225(x57911),x57912),x57913))+P1(f317(f317(f224(x57911),x57912),x57913))
% 199.17/199.23 [5909]~P109(x59091)+~E(f295(x59091,x59092,x59093),f179(f907(x59091,a897)))+~P1(f317(f317(f225(x59091),x59092),x59093))
% 199.17/199.23 [5910]~P109(x59101)+~E(f294(x59101,x59102,x59103),f179(f907(x59101,a897)))+~P1(f317(f317(f224(x59101),x59102),x59103))
% 199.17/199.23 [5911]~P109(x59111)+~E(f179(f907(x59111,a897)),f295(x59111,x59112,x59113))+~P1(f317(f317(f225(x59111),x59112),x59113))
% 199.17/199.23 [5912]~P109(x59121)+~E(f179(f907(x59121,a897)),f294(x59121,x59122,x59123))+~P1(f317(f317(f224(x59121),x59122),x59123))
% 199.17/199.23 [5922]P1(f317(x59221,x59222))+~P1(f317(x59221,f394(x59221,x59223)))+~P1(f317(f317(f224(a901),x59222),x59223))
% 199.17/199.23 [5923]P1(f317(x59231,x59232))+~P1(f317(x59231,f413(x59231,x59233)))+~P1(f317(f317(f225(a901),x59232),x59233))
% 199.17/199.23 [5931]~E(x59311,f317(a102,x59313))+P1(f317(f317(f225(a901),x59311),f317(a102,x59312)))+~P1(f317(f317(f225(a901),x59313),x59312))
% 199.17/199.23 [5950]E(x59501,x59502)+~E(f317(f317(f75(a901),x59503),x59501),f317(f317(f75(a901),x59503),x59502))+~P1(f317(f317(f225(a901),f2(a901)),x59503))
% 199.17/199.23 [6011]E(f317(x60111,f328(x60111,x60112,x60113)),f72(a901))+~E(f317(f317(f8(x60113,a901),x60111),x60112),f72(a901))+~P1(f317(f28(x60113),x60112))
% 199.17/199.23 [6027]~P3(x60271)+P1(f317(f317(f224(x60271),x60272),f31(x60271,x60273)))+~P1(f317(f317(f319(x60271),x60272),x60273))
% 199.17/199.23 [6050]~P65(x60501)+~P1(f317(f317(f225(x60501),x60503),x60502))+~P1(f317(f317(f224(x60501),x60502),x60503))
% 199.17/199.23 [6054]~P65(x60541)+~P1(f317(f317(f225(x60541),x60543),x60542))+~P1(f317(f317(f225(x60541),x60542),x60543))
% 199.17/199.23 [6057]~P108(x60571)+~P1(f317(f317(f225(x60571),x60573),x60572))+~P1(f317(f317(f224(x60571),x60572),x60573))
% 199.17/199.23 [6058]~P108(x60581)+~P1(f317(f317(f225(x60581),x60583),x60582))+~P1(f317(f317(f225(x60581),x60582),x60583))
% 199.17/199.23 [6059]~P109(x60591)+~P1(f317(f317(f225(x60591),x60593),x60592))+~P1(f317(f317(f225(x60591),x60592),x60593))
% 199.17/199.23 [6079]~E(x60792,x60793)+~E(x60791,x60792)+E(f279(a901,f276(a901),x60791,x60792),f317(f317(f299(a901),x60793),f179(f907(a901,a897))))
% 199.17/199.23 [6086]~E(f317(x60862,f329(x60862,x60863,x60861)),f2(a901))+E(f317(f317(f8(x60861,a901),x60862),x60863),f2(a901))+~P1(f317(f28(x60861),x60863))
% 199.17/199.23 [6087]~E(f317(x60872,f869(x60872,x60873,x60871)),f72(a901))+E(f317(f317(f11(x60871,a901),x60872),x60873),f72(a901))+~P1(f317(f28(x60871),x60873))
% 199.17/199.23 [6101]~P107(x61011)+~P1(f317(f317(f225(x61011),x61013),x61012))+P1(f317(f317(f319(x61011),x61012),f317(f291(x61011),x61013)))
% 199.17/199.23 [6102]~P107(x61021)+~P1(f317(f317(f224(x61021),x61023),x61022))+P1(f317(f317(f319(x61021),x61022),f317(f272(x61021),x61023)))
% 199.17/199.23 [6103]~P107(x61031)+~P1(f317(f317(f224(x61031),x61032),x61033))+P1(f317(f317(f319(x61031),x61032),f317(f292(x61031),x61033)))
% 199.17/199.23 [6104]~P107(x61041)+~P1(f317(f317(f225(x61041),x61042),x61043))+P1(f317(f317(f319(x61041),x61042),f317(f290(x61041),x61043)))
% 199.17/199.23 [6105]~P113(x61051)+~P1(f317(f317(f276(x61051),x61052),x61053))+P1(f317(f317(f276(x61051),x61052),f317(f73(x61051),x61053)))
% 199.17/199.23 [6106]~P119(x61061)+~P1(f317(f317(f276(x61061),x61062),x61063))+P1(f317(f317(f276(x61061),x61062),f317(f70(x61061),x61063)))
% 199.17/199.23 [6118]E(f317(x61181,f330(x61181,x61182,x61183)),f317(a102,f2(a901)))+~E(f317(f317(f8(x61183,a901),x61181),x61182),f317(a102,f2(a901)))+~P1(f317(f28(x61183),x61182))
% 199.17/199.23 [6201]~P3(x62011)+~P1(f317(f317(f319(x62011),x62013),x62012))+P1(f317(f317(f224(x62011),f32(x62011,x62012)),x62013))
% 199.17/199.23 [6222]~P1(f317(f317(f224(a901),x62221),x62223))+P1(f317(f317(f224(a901),x62221),x62222))+~P1(f317(f317(f224(a901),x62223),x62222))
% 199.17/199.23 [6223]~P1(f317(f317(f224(a1),x62231),x62233))+P1(f317(f317(f224(a1),x62231),x62232))+~P1(f317(f317(f224(a1),x62233),x62232))
% 199.17/199.23 [6224]~P1(f317(f317(f276(a901),x62241),x62243))+P1(f317(f317(f276(a901),x62241),x62242))+~P1(f317(f317(f276(a901),x62243),x62242))
% 199.17/199.23 [6246]~P107(x62461)+~P1(f317(f317(f319(x62461),x62463),f317(f272(x62461),x62462)))+P1(f317(f317(f224(x62461),x62462),x62463))
% 199.17/199.23 [6247]~P107(x62471)+~P1(f317(f317(f319(x62471),x62472),f317(f292(x62471),x62473)))+P1(f317(f317(f224(x62471),x62472),x62473))
% 199.17/199.23 [6248]~P107(x62481)+~P1(f317(f317(f319(x62481),x62483),f317(f291(x62481),x62482)))+P1(f317(f317(f225(x62481),x62482),x62483))
% 199.17/199.23 [6249]~P107(x62491)+~P1(f317(f317(f319(x62491),x62492),f317(f290(x62491),x62493)))+P1(f317(f317(f225(x62491),x62492),x62493))
% 199.17/199.23 [6250]~P119(x62501)+~P1(f317(f317(f276(x62501),x62502),f317(f70(x62501),x62503)))+P1(f317(f317(f276(x62501),x62502),x62503))
% 199.17/199.23 [6251]~P113(x62511)+~P1(f317(f317(f276(x62511),x62512),f317(f73(x62511),x62513)))+P1(f317(f317(f276(x62511),x62512),x62513))
% 199.17/199.23 [6321]~P1(f317(x63211,x63212))+P1(f317(x63211,f763(x63211)))+~P1(f317(f317(f319(x63213),x63212),f232(f907(x63213,a897))))
% 199.17/199.23 [6466]~P63(x64661)+P1(f317(f317(f225(x64661),f2(x64661)),f348(x64663,x64662,x64661)))+P1(f317(f317(f224(x64661),x64662),x64663))
% 199.17/199.23 [6467]~P64(x64671)+P1(f317(f317(f225(x64671),f2(x64671)),f434(x64673,x64672,x64671)))+P1(f317(f317(f224(x64671),x64672),x64673))
% 199.17/199.23 [6536]~P82(x65361)+~P1(f317(f317(f224(x65361),x65363),f317(f73(x65361),x65362)))+P1(f317(f317(f224(x65361),x65362),f317(f73(x65361),x65363)))
% 199.17/199.23 [6538]~P82(x65381)+~P1(f317(f317(f225(x65381),x65383),f317(f73(x65381),x65382)))+P1(f317(f317(f225(x65381),x65382),f317(f73(x65381),x65383)))
% 199.17/199.23 [6550]~P1(f317(f317(f225(a901),x65501),x65503))+~P1(f317(f317(f225(a901),x65503),x65502))+P1(f317(f317(f225(a901),f317(a102,x65501)),x65502))
% 199.17/199.23 [6580]~P126(x65801)+P1(f317(f317(f224(x65801),f317(f90(x65801),x65802)),f317(f90(x65801),x65803)))+~P1(f317(f317(f224(a901),x65802),x65803))
% 199.17/199.23 [6581]~P119(x65811)+P1(f317(f317(f224(x65811),f317(f93(x65811),x65812)),f317(f93(x65811),x65813)))+~P1(f317(f317(f224(a1),x65812),x65813))
% 199.17/199.23 [6583]~P119(x65831)+P1(f317(f317(f225(x65831),f317(f93(x65831),x65832)),f317(f93(x65831),x65833)))+~P1(f317(f317(f225(a1),x65832),x65833))
% 199.17/199.23 [6584]~P126(x65841)+P1(f317(f317(f225(x65841),f317(f90(x65841),x65842)),f317(f90(x65841),x65843)))+~P1(f317(f317(f225(a901),x65842),x65843))
% 199.17/199.23 [6590]~P108(x65901)+E(f317(f317(f91(f907(x65901,a897)),f317(f290(x65901),x65902)),f317(f293(x65901,x65902),x65903)),f317(f290(x65901),x65903))+~P1(f317(f317(f224(x65901),x65902),x65903))
% 199.17/199.23 [6616]~P82(x66161)+~P1(f317(f317(f224(x66161),x66163),x66162))+P1(f317(f317(f224(x66161),f317(f73(x66161),x66162)),f317(f73(x66161),x66163)))
% 199.17/199.23 [6618]~P89(x66181)+~P1(f317(f317(f224(x66181),x66183),x66182))+P1(f317(f317(f224(x66181),f317(f73(x66181),x66182)),f317(f73(x66181),x66183)))
% 199.17/199.23 [6619]~P82(x66191)+~P1(f317(f317(f225(x66191),x66193),x66192))+P1(f317(f317(f225(x66191),f317(f73(x66191),x66192)),f317(f73(x66191),x66193)))
% 199.17/199.23 [6657]~P108(x66571)+E(f317(f317(f91(f907(x66571,a897)),f317(f292(x66571),x66572)),f296(x66571,x66572,x66573)),f317(f290(x66571),x66573))+~P1(f317(f317(f225(x66571),x66572),x66573))
% 199.17/199.23 [6658]~P108(x66581)+E(f317(f317(f91(f907(x66581,a897)),f317(f292(x66581),x66582)),f295(x66581,x66582,x66583)),f317(f292(x66581),x66583))+~P1(f317(f317(f224(x66581),x66582),x66583))
% 199.17/199.23 [6659]~P108(x66591)+E(f317(f317(f91(f907(x66591,a897)),f317(f290(x66591),x66592)),f294(x66591,x66592,x66593)),f317(f292(x66591),x66593))+~P1(f317(f317(f224(x66591),x66592),x66593))
% 199.17/199.23 [6693]~P108(x66931)+E(f317(f317(f91(f907(x66931,a897)),f317(f293(x66931,x66932),x66933)),f317(f272(x66931),x66933)),f317(f272(x66931),x66932))+~P1(f317(f317(f224(x66931),x66932),x66933))
% 199.17/199.23 [6854]~P108(x68541)+E(f317(f317(f91(f907(x68541,a897)),f296(x68541,x68542,x68543)),f317(f272(x68541),x68543)),f317(f291(x68541),x68542))+~P1(f317(f317(f225(x68541),x68542),x68543))
% 199.17/199.23 [6855]~P108(x68551)+E(f317(f317(f91(f907(x68551,a897)),f295(x68551,x68552,x68553)),f317(f291(x68551),x68553)),f317(f291(x68551),x68552))+~P1(f317(f317(f224(x68551),x68552),x68553))
% 199.17/199.23 [6856]~P108(x68561)+E(f317(f317(f91(f907(x68561,a897)),f294(x68561,x68562,x68563)),f317(f291(x68561),x68563)),f317(f272(x68561),x68562))+~P1(f317(f317(f224(x68561),x68562),x68563))
% 199.17/199.23 [6870]P1(f317(x68701,x68702))+~P1(f317(f317(f224(a901),x68702),x68703))+P1(f317(f317(f319(a901),f394(x68701,x68703)),f294(a901,f2(a901),x68703)))
% 199.17/199.23 [6904]E(x69041,x69042)+~E(f317(f317(f154(x69043),x69041),f611(x69043,x69042,x69041)),f317(f317(f154(x69043),x69042),f611(x69043,x69042,x69041)))+~E(f317(f180(f902(x69043)),x69041),f317(f180(f902(x69043)),x69042))
% 199.17/199.23 [6909]~E(x69093,f317(f317(f30(a901),x69091),x69092))+~P1(f317(f317(f225(a901),f2(a901)),x69092))+P1(f317(f317(f225(a901),x69091),f317(f317(f75(a901),x69092),f317(a102,x69093))))
% 199.17/199.23 [6923]~P1(f317(x69231,x69233))+~P1(f317(f317(f224(a901),x69233),x69232))+P1(f317(f317(f319(a901),f393(x69231,x69232)),f294(a901,f2(a901),x69232)))
% 199.17/199.23 [6961]~P1(f317(x69611,x69613))+P1(f317(x69611,f400(x69611,x69612)))+~P1(f317(f317(f319(a901),x69613),f294(a901,f2(a901),x69612)))
% 199.17/199.23 [6982]~P126(x69823)+~P1(f317(f317(f224(x69823),f317(f90(x69823),x69821)),f317(f90(x69823),x69822)))+P1(f317(f317(f224(a901),x69821),x69822))
% 199.17/199.23 [6983]~P119(x69833)+~P1(f317(f317(f224(x69833),f317(f93(x69833),x69831)),f317(f93(x69833),x69832)))+P1(f317(f317(f224(a1),x69831),x69832))
% 199.17/199.23 [6985]~P126(x69853)+~P1(f317(f317(f225(x69853),f317(f90(x69853),x69851)),f317(f90(x69853),x69852)))+P1(f317(f317(f225(a901),x69851),x69852))
% 199.17/199.23 [6986]~P119(x69863)+~P1(f317(f317(f225(x69863),f317(f93(x69863),x69861)),f317(f93(x69863),x69862)))+P1(f317(f317(f225(a1),x69861),x69862))
% 199.17/199.23 [7003]~P126(x70031)+~P1(f317(f317(f225(x70031),f72(x70031)),x70032))+P1(f317(f317(f225(x70031),f72(x70031)),f317(f317(f234(x70031),x70032),f317(a102,x70033))))
% 199.17/199.23 [7006]~P82(x70061)+~P1(f317(f317(f224(x70061),f317(f73(x70061),x70063)),f317(f73(x70061),x70062)))+P1(f317(f317(f224(x70061),x70062),x70063))
% 199.17/199.23 [7007]~P89(x70071)+~P1(f317(f317(f224(x70071),f317(f73(x70071),x70073)),f317(f73(x70071),x70072)))+P1(f317(f317(f224(x70071),x70072),x70073))
% 199.17/199.23 [7008]~P82(x70081)+~P1(f317(f317(f225(x70081),f317(f73(x70081),x70083)),f317(f73(x70081),x70082)))+P1(f317(f317(f225(x70081),x70082),x70083))
% 199.17/199.23 [7032]P1(f317(x70321,x70322))+~P1(f317(x70321,f395(x70321,x70323)))+~P1(f317(f317(f319(a901),x70322),f294(a901,f2(a901),x70323)))
% 199.17/199.23 [7054]~P63(x70541)+P1(f317(f317(f225(x70541),f348(x70543,x70542,x70541)),f72(x70541)))+P1(f317(f317(f224(x70541),x70542),x70543))
% 199.17/199.23 [7075]~E(f40(a901,x70753,x70752),f40(a901,x70751,x70752))+E(f317(f317(f74(a901),x70751),f317(f317(f75(a901),x70752),f431(x70751,x70752,x70753))),x70753)+~P1(f317(f317(f224(a901),x70751),x70753))
% 199.17/199.23 [7130]E(f317(f317(f8(x71301,a901),x71302),x71303),f2(a901))+~P1(f317(f28(x71301),x71303))+P1(f317(f317(f319(x71301),f329(x71302,x71303,x71301)),x71303))
% 199.17/199.23 [7131]E(f317(f317(f11(x71311,a901),x71312),x71313),f72(a901))+~P1(f317(f28(x71311),x71313))+P1(f317(f317(f319(x71311),f869(x71312,x71313,x71311)),x71313))
% 199.17/199.23 [7153]~P109(x71531)+~P1(f317(f317(f224(x71531),x71532),x71533))+P1(f317(f317(f224(f907(x71531,a897)),f317(f292(x71531),x71532)),f317(f292(x71531),x71533)))
% 199.17/199.23 [7154]~P108(x71541)+~P1(f317(f317(f224(x71541),x71543),x71542))+P1(f317(f317(f224(f907(x71541,a897)),f317(f291(x71541),x71542)),f317(f291(x71541),x71543)))
% 199.17/199.23 [7155]~P109(x71551)+~P1(f317(f317(f224(x71551),x71553),x71552))+P1(f317(f317(f224(f907(x71551,a897)),f317(f272(x71551),x71552)),f317(f272(x71551),x71553)))
% 199.17/199.23 [7156]~P108(x71561)+~P1(f317(f317(f224(x71561),x71562),x71563))+P1(f317(f317(f224(f907(x71561,a897)),f317(f290(x71561),x71562)),f317(f290(x71561),x71563)))
% 199.17/199.23 [7157]~P108(x71571)+~P1(f317(f317(f225(x71571),x71572),x71573))+P1(f317(f317(f225(f907(x71571,a897)),f317(f290(x71571),x71572)),f317(f290(x71571),x71573)))
% 199.17/199.23 [7168]~P3(x71681)+P1(f317(f317(f224(x71681),x71682),f32(x71681,x71683)))+P1(f317(f317(f319(x71681),f888(x71683,x71682,x71681)),x71683))
% 199.17/199.23 [7174]~P82(x71741)+P1(f317(f317(f224(x71741),f317(f317(f3(x71741),x71742),x71743)),f2(x71741)))+~P1(f317(f317(f224(x71741),x71742),x71743))
% 199.17/199.23 [7175]~P82(x71751)+P1(f317(f317(f225(x71751),f317(f317(f3(x71751),x71752),x71753)),f2(x71751)))+~P1(f317(f317(f225(x71751),x71752),x71753))
% 199.17/199.23 [7216]P1(f317(x72161,x72162))+P1(f317(f317(f224(a901),f395(x72161,x72163)),x72163))+~P1(f317(f317(f319(a901),x72162),f294(a901,f2(a901),x72163)))
% 199.17/199.23 [7258]~E(f317(f317(f8(x72581,a901),x72582),x72583),f72(a901))+~P1(f317(f28(x72581),x72583))+P1(f317(f317(f319(x72581),f328(x72582,x72583,x72581)),x72583))
% 199.17/199.23 [7259]~P1(f317(x72591,x72593))+P1(f317(f317(f224(a901),f400(x72591,x72592)),x72592))+~P1(f317(f317(f319(a901),x72593),f294(a901,f2(a901),x72592)))
% 199.17/199.23 [7297]~P3(x72971)+P1(f317(f317(f319(x72971),f498(x72973,x72972,x72971)),x72972))+P1(f317(f317(f224(x72971),f31(x72971,x72972)),x72973))
% 199.17/199.23 [7331]~E(f317(f317(f8(x73311,a901),x73312),x73313),f317(a102,f2(a901)))+~P1(f317(f28(x73311),x73313))+P1(f317(f317(f319(x73311),f330(x73312,x73313,x73311)),x73313))
% 199.17/199.23 [7342]E(x73421,f2(a901))+P1(f317(x73422,f40(a901,x73423,x73421)))+P1(f317(f317(f225(a901),f367(x73421,x73423,x73422)),x73421))
% 199.17/199.23 [7445]~P1(f317(x74451,x74452))+P1(f317(x74451,f40(a901,x74452,x74453)))+P1(f317(f317(f225(a901),f367(x74453,x74452,x74451)),x74453))
% 199.17/199.23 [7557]E(x75571,f103(x75572))+~P1(f317(f317(f319(f902(x75572)),x75571),f151(x75572,x75573)))+P1(f317(f317(f319(x75572),f672(x75573,x75571,x75572)),x75573))
% 199.17/199.23 [7580]~P108(x75801)+E(f317(f317(f91(f907(x75801,a897)),f317(f317(f299(x75801),x75802),f179(f907(x75801,a897)))),f296(x75801,x75802,x75803)),f317(f293(x75801,x75802),x75803))+~P1(f317(f317(f225(x75801),x75802),x75803))
% 199.17/199.23 [7603]~P108(x76031)+E(f317(f317(f91(f907(x76031,a897)),f317(f317(f299(x76031),x76032),f179(f907(x76031,a897)))),f295(x76031,x76032,x76033)),f294(x76031,x76032,x76033))+~P1(f317(f317(f224(x76031),x76032),x76033))
% 199.17/199.23 [7711]~P108(x77111)+P1(f317(f317(f224(x77111),x77112),x77113))+~P1(f317(f317(f224(f907(x77111,a897)),f317(f291(x77111),x77113)),f317(f291(x77111),x77112)))
% 199.17/199.23 [7712]~P109(x77121)+P1(f317(f317(f224(x77121),x77122),x77123))+~P1(f317(f317(f224(f907(x77121,a897)),f317(f272(x77121),x77123)),f317(f272(x77121),x77122)))
% 199.17/199.23 [7713]~P108(x77131)+P1(f317(f317(f224(x77131),x77132),x77133))+~P1(f317(f317(f224(f907(x77131,a897)),f317(f290(x77131),x77132)),f317(f290(x77131),x77133)))
% 199.17/199.23 [7714]~P109(x77141)+P1(f317(f317(f224(x77141),x77142),x77143))+~P1(f317(f317(f224(f907(x77141,a897)),f317(f292(x77141),x77142)),f317(f292(x77141),x77143)))
% 199.17/199.23 [7715]~P108(x77151)+P1(f317(f317(f225(x77151),x77152),x77153))+~P1(f317(f317(f225(f907(x77151,a897)),f317(f290(x77151),x77152)),f317(f290(x77151),x77153)))
% 199.17/199.23 [7738]~P82(x77381)+~P1(f317(f317(f224(x77381),f317(f317(f3(x77381),x77382),x77383)),f2(x77381)))+P1(f317(f317(f224(x77381),x77382),x77383))
% 199.17/199.23 [7739]~P82(x77391)+~P1(f317(f317(f225(x77391),f317(f317(f3(x77391),x77392),x77393)),f2(x77391)))+P1(f317(f317(f225(x77391),x77392),x77393))
% 199.17/199.23 [7898]E(x78981,f2(a901))+~E(f317(f132(a901,a901,f74(a901),x78982),x78983),f2(a901))+~P1(f317(f317(f319(a901),x78981),f317(f162(a901),x78983)))
% 199.17/199.23 [7902]~P3(x79021)+~P1(f317(f317(f224(x79021),f498(x79023,x79022,x79021)),x79023))+P1(f317(f317(f224(x79021),f31(x79021,x79022)),x79023))
% 199.17/199.23 [8050]P1(f317(f317(f224(a1),f2(a1)),f355(x80501,x80502,x80503)))+P1(f317(f317(x80502,f317(f317(f30(a1),x80501),x80503)),f40(a1,x80501,x80503)))+~P1(f317(f317(f225(a1),f2(a1)),x80503))
% 199.17/199.23 [8136]E(x81361,x81362)+~E(f317(f180(f902(x81363)),x81361),f317(f180(f902(x81363)),x81362))+~P1(f317(f317(f247(x81363,x81363,a897),a314),f645(x81363,x81361,x81362)))
% 199.17/199.23 [8211]~P34(x82112,x82113)+E(x82111,f179(f907(x82112,a897)))+~P1(f317(f317(f224(f907(x82112,a897)),x82111),f317(f274(x82112,x82112,x82113),x82111)))
% 199.17/199.23 [8243]~P64(x82431)+~P1(f317(f317(f224(x82431),x82432),f317(f317(f74(x82431),x82433),f434(x82433,x82432,x82431))))+P1(f317(f317(f224(x82431),x82432),x82433))
% 199.17/199.23 [8278]P50(x82781,x82782,x82783)+P1(f317(f317(f319(x82781),f560(x82783,x82782,x82781)),x82782))+P1(f317(f317(f319(f906(x82781,x82781)),f561(x82783,x82782,x82781)),x82783))
% 199.17/199.23 [8299]P1(f317(f317(x82992,f317(f317(f30(a1),x82991),x82993)),f40(a1,x82991,x82993)))+~P1(f317(f317(f225(a1),f2(a1)),x82993))+P1(f317(f317(f225(a1),f355(x82991,x82992,x82993)),x82993))
% 199.17/199.23 [8323]E(f317(f300(a901,a901,f317(f317(f9(a901,a901,a901),f3(a901)),x83231)),f317(f293(a901,x83232),x83233)),f179(f907(a901,a897)))+P1(f317(f317(f225(a901),x83231),x83233))+P1(f317(f317(f225(a901),x83232),x83233))
% 199.17/199.23 [8433]E(f317(f300(a901,a901,f317(f317(f9(a901,a901,a901),f3(a901)),x84331)),f317(f293(a901,x84332),x84333)),f317(f317(f299(a901),f2(a901)),f179(f907(a901,a897))))+P1(f317(f317(f225(a901),x84331),x84333))+~P1(f317(f317(f225(a901),x84332),x84333))
% 199.17/199.23 [8444]~P108(x84441)+E(f139(x84441,x84441,f7(x84441),x84442,x84443),x84443)+~P1(f317(f317(f319(x84441),x84442),f317(f162(x84441),x84443)))
% 199.17/199.23 [8457]P22(x84571,x84571,x84572,x84573)+~P1(f317(f28(x84571),x84573))+~P1(f317(f317(f224(f907(x84571,a897)),x84573),f317(f300(x84571,x84571,x84572),x84573)))
% 199.17/199.23 [8483]E(f317(f317(f74(a1),f317(f317(f75(a1),x84831),f356(x84832,x84833,x84831))),f355(x84832,x84833,x84831)),x84832)+P1(f317(f317(x84833,f317(f317(f30(a1),x84832),x84831)),f40(a1,x84832,x84831)))+~P1(f317(f317(f225(a1),f2(a1)),x84831))
% 199.17/199.23 [8718]~P1(f317(f317(x87181,f356(x87182,x87181,x87183)),f355(x87182,x87181,x87183)))+P1(f317(f317(x87181,f317(f317(f30(a1),x87182),x87183)),f40(a1,x87182,x87183)))+~P1(f317(f317(f225(a1),f2(a1)),x87183))
% 199.17/199.23 [9607]~P1(f317(f28(x96071),x96072))+~P1(f317(f317(f319(x96071),x96073),x96072))+P1(f317(f317(f225(a901),f317(f29(x96071),f317(f317(f3(f907(x96071,a897)),x96072),f317(f317(f299(x96071),x96073),f179(f907(x96071,a897)))))),f317(f29(x96071),x96072)))
% 199.17/199.23 [10214]P50(x102141,x102142,x102143)+~P1(f317(f317(f247(x102141,x102141,a897),f317(f317(f9(x102141,f907(x102141,a897),f907(x102141,a897)),f317(f317(f10(f907(a897,a897),f907(f907(x102141,a897),f907(x102141,a897)),x102141),f10(a897,a897,x102141)),f317(f317(f10(a897,f907(a897,a897),x102141),a315),f317(f317(f9(x102141,f907(x102141,a897),a897),f319(x102141)),x102142)))),f317(f317(f9(x102141,f907(x102141,a897),a897),f319(x102141)),x102142))),f561(x102143,x102142,x102141)))+P1(f317(f317(f319(x102141),f560(x102143,x102142,x102141)),x102142))
% 199.17/199.23 [5550]~P122(x55502)+E(x55501,f2(x55502))+E(f317(f317(f280(x55502),x55503),f317(f73(x55502),x55501)),f317(f73(x55502),f317(f317(f280(x55502),x55503),x55501)))
% 199.17/199.23 [5691]~E(x56913,f179(f907(x56911,a897)))+~E(x56912,f179(f907(x56911,a897)))+E(f317(f317(f91(f907(x56911,a897)),x56912),x56913),f179(f907(x56911,a897)))
% 199.17/199.23 [5749]~E(x57493,f2(a901))+~P1(f317(x57491,f2(a901)))+P1(f317(x57491,f317(f317(f30(a901),x57492),x57493)))
% 199.17/199.23 [5901]~P64(x59012)+E(x59011,f2(x59012))+E(f317(f317(f280(x59012),f317(f70(x59012),x59013)),f317(f70(x59012),x59011)),f317(f70(x59012),f317(f317(f280(x59012),x59013),x59011)))
% 199.17/199.23 [6000]~P118(x60001)+~E(x60002,f72(x60001))+P1(f317(f317(f276(x60001),x60002),f317(f317(f234(x60001),x60002),x60003)))
% 199.17/199.23 [6020]~P58(x60201)+E(f317(f317(f75(x60201),x60202),f317(f317(f30(x60201),x60203),x60202)),x60203)+~P1(f317(f317(f276(x60201),x60202),x60203))
% 199.17/199.23 [6075]~P1(f317(f28(x60751),x60753))+E(f317(f29(x60751),f317(f317(f299(x60751),x60752),x60753)),f317(a102,f317(f29(x60751),x60753)))+P1(f317(f317(f319(x60751),x60752),x60753))
% 199.17/199.23 [6150]~E(x61502,f2(a901))+P1(f317(x61501,f2(a901)))+~P1(f317(x61501,f317(f317(f30(a901),x61503),x61502)))
% 199.17/199.23 [6167]~P1(f317(f28(x61671),x61673))+E(f317(f29(x61671),f317(f317(f299(x61671),x61672),x61673)),f317(f29(x61671),x61673))+~P1(f317(f317(f319(x61671),x61672),x61673))
% 199.17/199.23 [6203]~P1(f317(f28(x62031),x62033))+E(f317(f29(x62031),f317(f317(f299(x62031),x62032),x62033)),f317(f317(f74(a901),f72(a901)),f317(f29(x62031),x62033)))+P1(f317(f317(f319(x62031),x62032),x62033))
% 199.17/199.23 [6210]~P59(x62101)+E(f317(f317(f30(x62101),x62102),f317(f73(x62101),x62103)),f317(f73(x62101),f317(f317(f30(x62101),x62102),x62103)))+~P1(f317(f317(f276(x62101),x62103),x62102))
% 199.17/199.23 [6322]E(f317(f317(f74(a901),x63221),f331(x63221,x63222,x63223)),x63222)+~P1(f317(x63223,f2(a901)))+P1(f317(x63223,f317(f317(f3(a901),x63222),x63221)))
% 199.17/199.23 [6323]E(f317(f317(f74(a901),x63231),f332(x63231,x63232,x63233)),x63232)+~P1(f317(x63233,f2(a901)))+P1(f317(x63233,f317(f317(f3(a901),x63232),x63231)))
% 199.17/199.23 [6348]~P59(x63481)+E(f317(f317(f30(x63481),f317(f73(x63481),x63482)),x63483),f317(f73(x63481),f317(f317(f30(x63481),x63482),x63483)))+~P1(f317(f317(f276(x63481),x63483),x63482))
% 199.17/199.23 [6372]~P3(x63721)+~P1(f317(f28(x63721),x63723))+E(f317(f317(f58(x63721,x63721,f91(x63721)),x63722),x63723),f317(f317(f91(x63721),x63722),f31(x63721,x63723)))
% 199.17/199.23 [6373]~P3(x63731)+~P1(f317(f28(x63731),x63733))+E(f317(f317(f58(x63731,x63731,f92(x63731)),x63732),x63733),f317(f317(f92(x63731),x63732),f32(x63731,x63733)))
% 199.17/199.23 [6379]~P97(x63791)+~E(f317(f94(x63791),x63792),f317(f94(x63791),x63793))+P25(x63791,f317(f94(x63791),f317(f317(f74(a1),x63792),f317(f73(a1),x63793))))
% 199.17/199.23 [6388]~P141(x63881)+E(f317(f317(f3(x63881),f317(f90(x63881),x63882)),f317(f90(x63881),x63883)),f317(f90(x63881),f317(f317(f3(a901),x63882),x63883)))+~P1(f317(f317(f224(a901),x63883),x63882))
% 199.17/199.23 [6395]~P113(x63951)+~P1(f317(f317(f276(x63951),x63952),x63953))+P1(f317(f317(f276(x63951),f317(f73(x63951),x63952)),x63953))
% 199.17/199.23 [6396]~P119(x63961)+~P1(f317(f317(f276(x63961),x63962),x63963))+P1(f317(f317(f276(x63961),f317(f70(x63961),x63962)),x63963))
% 199.17/199.23 [6477]E(f317(f317(f74(a901),x64771),f331(x64771,x64772,x64773)),x64772)+P1(f317(f317(f225(a901),x64772),x64771))+P1(f317(x64773,f317(f317(f3(a901),x64772),x64771)))
% 199.17/199.23 [6478]E(f317(f317(f74(a901),x64781),f332(x64781,x64782,x64783)),x64782)+P1(f317(f317(f225(a901),x64782),x64781))+P1(f317(x64783,f317(f317(f3(a901),x64782),x64781)))
% 199.17/199.23 [6494]~P119(x64941)+E(f317(f317(f75(x64941),f317(f70(x64941),x64942)),x64943),f317(f70(x64941),f317(f317(f75(x64941),x64942),x64943)))+~P1(f317(f317(f224(x64941),f2(x64941)),x64943))
% 199.17/199.23 [6495]~P63(x64951)+E(f317(f317(f280(x64951),f317(f70(x64951),x64952)),x64953),f317(f70(x64951),f317(f317(f280(x64951),x64952),x64953)))+~P1(f317(f317(f225(x64951),f2(x64951)),x64953))
% 199.17/199.23 [6504]~P108(x65041)+~P1(f317(f28(x65041),x65043))+E(f317(f317(f58(x65041,x65041,f178(x65041)),x65042),x65043),f16(x65041,f317(f317(f299(x65041),x65042),x65043)))
% 199.17/199.23 [6505]~P108(x65051)+~P1(f317(f28(x65051),x65053))+E(f317(f317(f58(x65051,x65051,f228(x65051)),x65052),x65053),f17(x65051,f317(f317(f299(x65051),x65052),x65053)))
% 199.17/199.23 [6506]~P68(x65061)+~P1(f317(f28(x65061),x65063))+E(f317(f317(f58(x65061,x65061,f91(x65061)),x65062),x65063),f12(x65061,f317(f317(f299(x65061),x65062),x65063)))
% 199.17/199.23 [6507]~P68(x65071)+~P1(f317(f28(x65071),x65073))+E(f317(f317(f58(x65071,x65071,f92(x65071)),x65072),x65073),f13(x65071,f317(f317(f299(x65071),x65072),x65073)))
% 199.17/199.23 [6552]E(x65521,f103(x65522))+~E(f169(x65522,x65523),f103(f902(x65522)))+~P1(f317(f317(f319(f902(x65522)),x65521),f317(f162(f902(x65522)),x65523)))
% 199.17/199.23 [6570]~P118(x65701)+~P1(f317(f317(f225(a901),f2(a901)),x65703))+P1(f317(f317(f276(x65701),x65702),f317(f317(f234(x65701),x65702),x65703)))
% 199.17/199.23 [6598]~P1(f317(f127(x65981),x65983))+P1(f317(f317(f319(x65981),x65982),f317(f162(x65981),x65983)))+P1(f317(f127(x65981),f317(f317(f141(x65981),x65982),x65983)))
% 199.17/199.23 [6609]~P99(x66091)+~P1(f317(f28(x66091),x66093))+E(f317(f57(x66091,f75(x66091)),f317(f317(f299(x66091),x66092),x66093)),f317(f317(f58(x66091,x66091,f75(x66091)),x66092),x66093))
% 199.17/199.23 [6629]~P108(x66291)+~P1(f317(f28(x66291),x66293))+E(f14(x66291,f178(x66291),f317(f317(f299(x66291),x66292),x66293)),f317(f317(f58(x66291,x66291,f178(x66291)),x66292),x66293))
% 199.17/199.23 [6630]~P108(x66301)+~P1(f317(f28(x66301),x66303))+E(f15(x66301,f228(x66301),f317(f317(f299(x66301),x66302),x66303)),f317(f317(f58(x66301,x66301,f228(x66301)),x66302),x66303))
% 199.17/199.23 [6632]P1(f317(x66321,f2(a901)))+~P1(f317(f317(f225(a901),x66322),x66323))+~P1(f317(x66321,f317(f317(f3(a901),x66322),x66323)))
% 199.17/199.23 [6653]~P88(x66531)+P1(f317(f317(f224(x66531),x66532),x66533))+~P1(f317(f317(f224(x66531),f317(f70(x66531),x66532)),x66533))
% 199.17/199.23 [6654]~P119(x66541)+P1(f317(f317(f225(x66541),x66542),x66543))+~P1(f317(f317(f225(x66541),f317(f70(x66541),x66542)),x66543))
% 199.17/199.23 [6655]~P119(x66551)+P1(f317(f317(f276(x66551),x66552),x66553))+~P1(f317(f317(f276(x66551),f317(f70(x66551),x66552)),x66553))
% 199.17/199.23 [6656]~P113(x66561)+P1(f317(f317(f276(x66561),x66562),x66563))+~P1(f317(f317(f276(x66561),f317(f73(x66561),x66562)),x66563))
% 199.17/199.23 [6673]E(x66731,f103(x66732))+E(f317(f131(x66732),f317(f317(f128(x66732),x66733),x66731)),f317(f317(f154(x66732),x66731),x66733))+~P1(f317(f317(f225(a901),x66733),f317(f180(f902(x66732)),x66731)))
% 199.17/199.23 [6728]~P1(f317(x67281,x67283))+P1(f317(x67281,f430(x67281,x67282)))+~P1(f317(f317(f319(a901),x67283),f317(f293(a901,f2(a901)),x67282)))
% 199.17/199.23 [6748]P1(f317(x67481,x67482))+~P1(f317(f317(f225(a901),x67482),x67483))+P1(f317(f317(f319(a901),f413(x67481,x67483)),f317(f293(a901,f2(a901)),x67483)))
% 199.17/199.23 [6763]~P126(x67631)+~P1(f317(f317(f224(x67631),f72(x67631)),x67632))+P1(f317(f317(f224(x67631),f72(x67631)),f317(f317(f234(x67631),x67632),x67633)))
% 199.17/199.23 [6765]~P126(x67651)+~P1(f317(f317(f224(x67651),f2(x67651)),x67652))+P1(f317(f317(f224(x67651),f2(x67651)),f317(f317(f234(x67651),x67652),x67653)))
% 199.17/199.23 [6767]~P126(x67671)+~P1(f317(f317(f225(x67671),f2(x67671)),x67672))+P1(f317(f317(f225(x67671),f2(x67671)),f317(f317(f234(x67671),x67672),x67673)))
% 199.17/199.23 [6792]~P1(f317(x67921,x67923))+~P1(f317(f317(f225(a901),x67923),x67922))+P1(f317(f317(f319(a901),f412(x67921,x67922)),f317(f293(a901,f2(a901)),x67922)))
% 199.17/199.23 [6800]P1(f317(f28(x68001),x68002))+~P1(f317(f28(x68001),x68003))+~P1(f317(f317(f224(f907(x68001,a897)),x68002),x68003))
% 199.17/199.23 [6807]~P1(f317(f317(f276(a901),x68071),x68072))+~P1(f317(f317(f276(a901),x68071),x68073))+P1(f317(f317(f276(a901),x68071),f317(f317(f3(a901),x68072),x68073)))
% 199.17/199.23 [6808]P1(f317(x68081,x68082))+~P1(f317(x68081,f414(x68081,x68083)))+~P1(f317(f317(f319(a901),x68082),f317(f293(a901,f2(a901)),x68083)))
% 199.17/199.23 [6821]E(x68211,f2(a901))+P1(f317(x68212,f360(x68211,x68213,x68212)))+~P1(f317(x68212,f317(f317(f30(a901),x68213),x68211)))
% 199.17/199.23 [6829]~P128(x68292)+E(x68291,f2(x68292))+~E(f317(f317(f74(x68292),f317(f317(f75(x68292),x68293),x68293)),f317(f317(f75(x68292),x68291),x68291)),f2(x68292))
% 199.17/199.23 [6830]~P128(x68302)+E(x68301,f2(x68302))+~E(f317(f317(f74(x68302),f317(f317(f75(x68302),x68301),x68301)),f317(f317(f75(x68302),x68303),x68303)),f2(x68302))
% 199.17/199.23 [6871]E(x68711,f2(a901))+~P1(f317(x68712,f361(x68711,x68713,x68712)))+P1(f317(x68712,f317(f317(f30(a901),x68713),x68711)))
% 199.17/199.23 [6876]~P108(x68761)+~P11(x68761,x68763)+P11(x68761,f317(f317(f138(x68761,x68761,f7(x68761)),x68762),x68763))
% 199.17/199.23 [6917]P1(f317(x69171,f360(x69172,x69173,x69171)))+P1(f317(x69171,f2(a901)))+~P1(f317(x69171,f317(f317(f30(a901),x69173),x69172)))
% 199.17/199.23 [6922]~P97(x69221)+E(f317(f94(x69221),x69222),f317(f94(x69221),x69223))+~P25(x69221,f317(f94(x69221),f317(f317(f74(a1),x69222),f317(f73(a1),x69223))))
% 199.17/199.23 [6989]E(x69891,f2(a1))+E(x69892,f2(a1))+~P1(f317(f44(x69892,x69892),f317(f317(f242(a1,a1),x69893),x69891)))
% 199.17/199.23 [6990]E(x69901,f72(a1))+E(x69902,f2(a1))+~P1(f317(f44(x69902,x69902),f317(f317(f242(a1,a1),x69901),x69903)))
% 199.17/199.23 [7005]P1(f317(x70051,x70052))+P1(f317(f317(f225(a901),f414(x70051,x70053)),x70053))+~P1(f317(f317(f319(a901),x70052),f317(f293(a901,f2(a901)),x70053)))
% 199.17/199.23 [7028]~P1(f317(x70281,f331(x70283,x70282,x70281)))+~P1(f317(x70281,f2(a901)))+P1(f317(x70281,f317(f317(f3(a901),x70282),x70283)))
% 199.17/199.23 [7029]~P1(f317(x70291,f332(x70293,x70292,x70291)))+~P1(f317(x70291,f2(a901)))+P1(f317(x70291,f317(f317(f3(a901),x70292),x70293)))
% 199.17/199.23 [7030]~P1(f317(x70301,f361(x70303,x70302,x70301)))+~P1(f317(x70301,f2(a901)))+P1(f317(x70301,f317(f317(f30(a901),x70302),x70303)))
% 199.17/199.23 [7050]~P1(f317(x70501,x70503))+P1(f317(f317(f225(a901),f430(x70501,x70502)),x70502))+~P1(f317(f317(f319(a901),x70503),f317(f293(a901,f2(a901)),x70502)))
% 199.17/199.23 [7051]E(f317(f317(f3(a901),f317(f317(f3(a901),x70511),x70512)),f317(f317(f3(a901),x70513),x70512)),f317(f317(f3(a901),x70511),x70513))+~P1(f317(f317(f224(a901),x70512),x70511))+~P1(f317(f317(f224(a901),x70512),x70513))
% 199.17/199.23 [7088]~P82(x70881)+~P1(f317(f317(f224(x70881),f317(f73(x70881),x70883)),x70882))+P1(f317(f317(f224(x70881),f317(f73(x70881),x70882)),x70883))
% 199.17/199.23 [7090]~P88(x70901)+~P1(f317(f317(f224(x70901),f317(f70(x70901),x70902)),x70903))+P1(f317(f317(f224(x70901),f317(f73(x70901),x70902)),x70903))
% 199.17/199.23 [7092]~P82(x70921)+~P1(f317(f317(f225(x70921),f317(f73(x70921),x70923)),x70922))+P1(f317(f317(f225(x70921),f317(f73(x70921),x70922)),x70923))
% 199.17/199.23 [7093]~P119(x70931)+~P1(f317(f317(f225(x70931),f317(f70(x70931),x70932)),x70933))+P1(f317(f317(f225(x70931),f317(f73(x70931),x70932)),x70933))
% 199.17/199.23 [7125]~P1(f317(x71253,f331(x71252,x71251,x71253)))+P1(f317(f317(f225(a901),x71251),x71252))+P1(f317(x71253,f317(f317(f3(a901),x71251),x71252)))
% 199.17/199.23 [7126]~P1(f317(x71263,f332(x71262,x71261,x71263)))+P1(f317(f317(f225(a901),x71261),x71262))+P1(f317(x71263,f317(f317(f3(a901),x71261),x71262)))
% 199.17/199.23 [7178]~E(f700(x71783,x71782,x71781),f687(x71783,x71782,x71781))+E(f317(f317(f92(f907(x71781,a897)),x71782),f31(f907(x71781,a897),x71783)),f179(f907(x71781,a897)))+P1(f317(f317(f319(f907(x71781,a897)),x71782),x71783))
% 199.17/199.23 [7185]~P1(f317(f28(x71851),x71853))+P1(f317(f28(x71851),f32(f907(x71851,a897),x71852)))+~P1(f317(f317(f319(f907(x71851,a897)),x71853),x71852))
% 199.17/199.23 [7245]~P108(x72451)+E(f317(f317(f91(f907(x72451,a897)),f317(f293(x72451,x72452),x72453)),f317(f317(f299(x72451),x72453),f179(f907(x72451,a897)))),f294(x72451,x72452,x72453))+~P1(f317(f317(f224(x72451),x72452),x72453))
% 199.17/199.23 [7248]E(x72481,f2(a901))+P1(f317(f317(f225(a901),f363(x72481,x72483,x72482)),x72481))+P1(f317(x72482,f317(f317(f30(a901),x72483),x72481)))
% 199.17/199.23 [7277]P1(f317(f317(f225(a901),f317(f180(f902(x72771)),x72772)),f765(x72773,x72771)))+~P1(f317(f28(f902(x72771)),x72773))+~P1(f317(f317(f319(f902(x72771)),x72772),x72773))
% 199.17/199.23 [7283]E(x72831,x72832)+~P1(f317(f317(f224(f907(x72833,a897)),x72831),x72832))+P1(f317(f317(f225(f907(x72833,a897)),x72831),x72832))
% 199.17/199.23 [7294]E(x72941,x72942)+~E(f317(f180(f902(x72943)),x72941),f317(f180(f902(x72943)),x72942))+P1(f317(f317(f225(a901),f611(x72943,x72941,x72942)),f317(f180(f902(x72943)),x72942)))
% 199.17/199.23 [7343]P6(x73431,x73432,x73433)+~E(f317(f254(x73431,x73431),x73433),x73432)+~E(f317(f317(f278(x73431,x73431,x73431),f317(f275(x73431,x73431),x73433)),x73433),x73433)
% 199.17/199.23 [7420]~P1(f317(x74201,f2(a901)))+P1(f317(f317(f225(a901),f363(x74203,x74202,x74201)),x74203))+P1(f317(x74201,f317(f317(f30(a901),x74202),x74203)))
% 199.17/199.23 [7430]~P108(x74301)+E(f317(f317(f91(f907(x74301,a897)),f296(x74301,x74302,x74303)),f317(f317(f299(x74301),x74303),f179(f907(x74301,a897)))),f295(x74301,x74302,x74303))+~P1(f317(f317(f225(x74301),x74302),x74303))
% 199.17/199.23 [7515]~P1(f317(f28(x75151),x75153))+P1(f317(f317(f224(a901),f317(f29(x75151),x75152)),f317(f29(x75151),x75153)))+~P1(f317(f317(f224(f907(x75151,a897)),x75152),x75153))
% 199.17/199.23 [7516]~P1(f317(f28(x75161),x75163))+P1(f317(f317(f225(a901),f317(f29(x75161),x75162)),f317(f29(x75161),x75163)))+~P1(f317(f317(f225(f907(x75161,a897)),x75162),x75163))
% 199.17/199.23 [7649]E(x76491,x76492)+~P1(f317(f317(f224(f907(x76493,a897)),x76492),x76491))+~P1(f317(f317(f224(f907(x76493,a897)),x76491),x76492))
% 199.17/199.23 [7652]~P108(x76521)+P11(x76521,x76522)+~P11(x76521,f317(f317(f138(x76521,x76521,f7(x76521)),x76523),x76522))
% 199.17/199.23 [7720]~P1(f317(f317(f225(a901),x77203),x77202))+~P1(f317(f317(f225(a901),x77203),x77201))+P1(f317(f317(f225(a901),f317(f317(f3(a901),x77201),x77202)),f317(f317(f3(a901),x77201),x77203)))
% 199.17/199.23 [7721]~P1(f317(f317(f224(a901),x77212),x77211))+~P1(f317(f317(f225(a901),x77211),x77213))+P1(f317(f317(f225(a901),f317(f317(f3(a901),x77211),x77212)),f317(f317(f3(a901),x77213),x77212)))
% 199.17/199.23 [7736]~P1(f317(f317(f225(a1),x77362),f2(a1)))+~P1(f317(f317(f224(a1),x77363),x77361))+P1(f317(f317(f224(a1),f317(f317(f30(a1),x77361),x77362)),f317(f317(f30(a1),x77363),x77362)))
% 199.17/199.23 [7753]~P1(f317(f317(f225(a901),f2(a901)),x77533))+~P1(f317(f317(f224(a901),x77533),x77532))+P1(f317(f317(f224(a901),f317(f317(f30(a901),x77531),x77532)),f317(f317(f30(a901),x77531),x77533)))
% 199.17/199.23 [7754]~P1(f317(f317(f225(a1),f2(a1)),x77542))+~P1(f317(f317(f224(a1),x77541),x77543))+P1(f317(f317(f224(a1),f317(f317(f30(a1),x77541),x77542)),f317(f317(f30(a1),x77543),x77542)))
% 199.17/199.23 [7758]~P1(f317(f317(f225(a901),f2(a901)),x77582))+~P1(f317(f317(f225(a901),x77581),x77583))+P1(f317(f317(f225(a901),f317(f317(f75(a901),x77581),x77582)),f317(f317(f75(a901),x77583),x77582)))
% 199.17/199.23 [7759]~P1(f317(f317(f225(a901),f2(a901)),x77591))+~P1(f317(f317(f225(a901),x77592),x77593))+P1(f317(f317(f225(a901),f317(f317(f75(a901),x77591),x77592)),f317(f317(f75(a901),x77591),x77593)))
% 199.17/199.23 [7760]~P1(f317(f317(f225(a1),f2(a1)),x77601))+~P1(f317(f317(f225(a1),x77602),x77603))+P1(f317(f317(f225(a1),f317(f317(f75(a1),x77601),x77602)),f317(f317(f75(a1),x77601),x77603)))
% 199.17/199.23 [7808]E(x78081,f2(a901))+E(f317(f317(f74(a901),f317(f317(f75(a901),x78081),f361(x78081,x78082,x78083))),f363(x78081,x78082,x78083)),x78082)+P1(f317(x78083,f317(f317(f30(a901),x78082),x78081)))
% 199.17/199.23 [7869]E(f317(f317(f74(a901),f317(f317(f75(a901),x78691),f361(x78691,x78692,x78693))),f363(x78691,x78692,x78693)),x78692)+~P1(f317(x78693,f2(a901)))+P1(f317(x78693,f317(f317(f30(a901),x78692),x78691)))
% 199.17/199.23 [7889]~P1(f317(f28(x78891),x78893))+P1(f317(f317(f319(x78891),f336(x78892,x78893,x78891)),x78893))+P1(f317(f317(f225(a901),f2(a901)),f317(f317(f11(x78891,a901),x78892),x78893)))
% 199.17/199.23 [7890]~P1(f317(f28(x78901),x78903))+P1(f317(f317(f319(x78901),f353(x78902,x78903,x78901)),x78903))+P1(f317(f317(f225(a901),f2(a901)),f317(f317(f11(x78901,a901),x78902),x78903)))
% 199.17/199.23 [7988]E(x79881,f2(a901))+P1(f317(f317(f276(a901),x79882),x79883))+~P1(f317(f317(f276(a901),f317(f317(f75(a901),x79881),x79882)),f317(f317(f75(a901),x79881),x79883)))
% 199.17/199.23 [8177]E(x81771,f179(f907(x81772,a897)))+E(x81771,f317(f317(f299(x81772),x81773),f179(f907(x81772,a897))))+~P1(f317(f317(f224(f907(x81772,a897)),x81771),f317(f317(f299(x81772),x81773),f179(f907(x81772,a897)))))
% 199.17/199.23 [8212]~P1(f317(f317(f225(a901),f72(a901)),x82123))+P1(f317(f317(f224(a901),x82121),x82122))+~P1(f317(f317(f276(a901),f317(f317(f234(a901),x82123),x82121)),f317(f317(f234(a901),x82123),x82122)))
% 199.17/199.23 [8214]~P1(f317(f317(f225(a901),f2(a901)),x82143))+P1(f317(f317(f224(a901),x82141),x82142))+~P1(f317(f317(f224(a901),f317(f317(f75(a901),x82143),x82141)),f317(f317(f75(a901),x82143),x82142)))
% 199.17/199.23 [8215]~P1(f317(f317(f225(a901),f2(a901)),x82153))+P1(f317(f317(f224(a901),x82151),x82152))+~P1(f317(f317(f224(a901),f317(f317(f75(a901),x82151),x82153)),f317(f317(f75(a901),x82152),x82153)))
% 199.17/199.23 [8217]~P1(f317(f317(f225(a901),f2(a901)),x82173))+P1(f317(f317(f225(a901),x82171),x82172))+~P1(f317(f317(f225(a901),f317(f317(f234(a901),x82173),x82171)),f317(f317(f234(a901),x82173),x82172)))
% 199.17/199.23 [8219]~P1(f317(f317(f225(a901),f2(a901)),x82193))+P1(f317(f317(f276(a901),x82191),x82192))+~P1(f317(f317(f276(a901),f317(f317(f75(a901),x82193),x82191)),f317(f317(f75(a901),x82193),x82192)))
% 199.17/199.23 [8259]~E(f317(f317(f92(f907(x82591,a897)),f687(x82593,x82592,x82591)),f700(x82593,x82592,x82591)),f179(f907(x82591,a897)))+E(f317(f317(f92(f907(x82591,a897)),x82592),f31(f907(x82591,a897),x82593)),f179(f907(x82591,a897)))+P1(f317(f317(f319(f907(x82591,a897)),x82592),x82593))
% 199.17/199.23 [8273]E(x82731,f103(x82732))+~E(f317(f132(f902(x82732),f902(x82732),f124(x82732),f103(x82732)),x82733),f103(x82732))+~P1(f317(f317(f319(f902(x82732)),x82731),f317(f162(f902(x82732)),x82733)))
% 199.17/199.23 [8328]E(x83281,f179(f907(f907(x83282,a897),a897)))+P1(f317(f317(f319(f907(x83282,a897)),f358(x83283,x83281,x83282)),x83281))+P1(f317(f317(f224(f907(x83282,a897)),f32(f907(x83282,a897),x83281)),x83283))
% 199.17/199.23 [8333]~P72(x83331)+~P79(x83331)+E(f317(f317(f8(a1,x83331),f317(f317(f10(a901,x83331,a1),x83332),a95)),f317(f300(a901,a1,f90(a1)),x83333)),f317(f317(f8(a901,x83331),x83332),x83333))
% 199.17/199.23 [8334]~P72(x83341)+~P79(x83341)+E(f317(f317(f11(a1,x83341),f317(f317(f10(a901,x83341,a1),x83342),a95)),f317(f300(a901,a1,f90(a1)),x83343)),f317(f317(f11(a901,x83341),x83342),x83343))
% 199.17/199.23 [8376]~P1(f317(f28(x83761),x83763))+~P1(f317(f317(f225(a901),f2(a901)),f317(x83762,f336(x83762,x83763,x83761))))+P1(f317(f317(f225(a901),f2(a901)),f317(f317(f11(x83761,a901),x83762),x83763)))
% 199.17/199.23 [8377]~P1(f317(f28(x83771),x83773))+~P1(f317(f317(f225(a901),f2(a901)),f317(x83772,f353(x83772,x83773,x83771))))+P1(f317(f317(f225(a901),f2(a901)),f317(f317(f11(x83771,a901),x83772),x83773)))
% 199.17/199.23 [8413]~P62(x84132)+E(x84131,f72(x84132))+E(f317(f317(f280(x84132),f317(f317(f3(x84132),f317(f317(f234(x84132),x84131),x84133)),f72(x84132))),f317(f317(f3(x84132),x84131),f72(x84132))),f317(f317(f8(a901,x84132),f317(f234(x84132),x84131)),f317(f293(a901,f2(a901)),x84133)))
% 199.17/199.23 [8468]E(x84681,f2(a901))+~P1(f317(x84683,f317(f317(f30(a901),x84682),x84681)))+P1(f317(f317(f225(a901),x84682),f317(f317(f75(a901),x84681),f317(a102,f360(x84681,x84682,x84683)))))
% 199.17/199.23 [8487]P1(f317(x84871,f2(a901)))+~P1(f317(x84871,f317(f317(f30(a901),x84872),x84873)))+P1(f317(f317(f225(a901),x84872),f317(f317(f75(a901),x84873),f317(a102,f360(x84873,x84872,x84871)))))
% 199.17/199.23 [8523]E(x85231,f2(a901))+~P1(f317(x85233,f317(f317(f30(a901),x85232),x85231)))+P1(f317(f317(f224(a901),f317(f317(f75(a901),x85231),f360(x85231,x85232,x85233))),x85232))
% 199.17/199.23 [8555]P1(f317(x85551,f2(a901)))+~P1(f317(x85551,f317(f317(f30(a901),x85553),x85552)))+P1(f317(f317(f224(a901),f317(f317(f75(a901),x85552),f360(x85552,x85553,x85551))),x85553))
% 199.17/199.23 [8563]~P108(x85631)+E(f317(f317(f138(x85631,x85631,f7(x85631)),x85632),x85633),f139(x85631,x85631,f7(x85631),x85632,x85633))+P1(f317(f317(f319(x85631),x85632),f317(f162(x85631),x85633)))
% 199.17/199.23 [8596]~E(f317(x85963,f572(x85962,x85963,x85961)),f317(x85963,f574(x85962,x85963,x85961)))+~P57(x85961,f317(x85963,f573(x85962,x85963,x85961)))+P57(x85961,f317(f317(f35(x85962,f907(x85961,f907(x85961,a897))),f232(f907(x85962,a897))),x85963))
% 199.17/199.23 [8605]E(x86051,f179(f907(f907(x86052,a897),a897)))+~P1(f317(f317(f224(f907(x86052,a897)),f358(x86053,x86051,x86052)),x86053))+P1(f317(f317(f224(f907(x86052,a897)),f32(f907(x86052,a897),x86051)),x86053))
% 199.17/199.23 [8668]~P64(x86681)+~P1(f317(f317(f225(x86681),x86682),x86683))+P1(f317(f317(f225(x86681),x86682),f317(f317(f280(x86681),f317(f317(f74(x86681),x86682),x86683)),f317(f317(f74(x86681),f72(x86681)),f72(x86681)))))
% 199.17/199.23 [8726]~P1(f317(f317(x87261,f447(x87261,x87263,x87262)),f451(x87261,x87263,x87262)))+P1(f317(f317(x87261,x87262),x87263))+~P1(f317(f305(f906(a1,a1),a47),f317(f317(f242(a1,a1),x87262),x87263)))
% 199.17/199.23 [8727]~P1(f317(f317(x87271,f454(x87271,x87273,x87272)),f455(x87271,x87273,x87272)))+P1(f317(f317(x87271,x87272),x87273))+~P1(f317(f305(f906(a1,a1),a53),f317(f317(f242(a1,a1),x87272),x87273)))
% 199.17/199.23 [8728]~P1(f317(f317(x87281,f456(x87281,x87283,x87282)),f458(x87281,x87283,x87282)))+P1(f317(f317(x87281,x87282),x87283))+~P1(f317(f305(f906(a1,a1),a212),f317(f317(f242(a1,a1),x87282),x87283)))
% 199.17/199.23 [8729]~P1(f317(f317(x87291,f459(x87291,x87293,x87292)),f460(x87291,x87293,x87292)))+P1(f317(f317(x87291,x87292),x87293))+~P1(f317(f305(f906(a901,a901),a210),f317(f317(f242(a901,a901),x87292),x87293)))
% 199.17/199.23 [8730]~P1(f317(f317(x87301,f657(x87301,x87303,x87302)),f661(x87301,x87303,x87302)))+P1(f317(f317(x87301,x87302),x87303))+~P1(f317(f305(f906(a1,a1),a172),f317(f317(f242(a1,a1),x87302),x87303)))
% 199.17/199.23 [8731]~P1(f317(f317(x87311,f753(x87311,x87313,x87312)),f754(x87311,x87313,x87312)))+P1(f317(f317(x87311,x87312),x87313))+~P1(f317(f305(f906(a1,a1),a123),f317(f317(f242(a1,a1),x87312),x87313)))
% 199.17/199.23 [8999]P1(f317(f317(x89991,x89992),x89993))+P1(f317(f305(f906(a901,a901),a210),f317(f317(f242(a901,a901),f459(x89991,x89993,x89992)),f460(x89991,x89993,x89992))))+~P1(f317(f305(f906(a901,a901),a210),f317(f317(f242(a901,a901),x89992),x89993)))
% 199.17/199.23 [9000]P1(f317(f317(x90001,x90002),x90003))+P1(f317(f305(f906(a1,a1),a47),f317(f317(f242(a1,a1),f447(x90001,x90003,x90002)),f451(x90001,x90003,x90002))))+~P1(f317(f305(f906(a1,a1),a47),f317(f317(f242(a1,a1),x90002),x90003)))
% 199.17/199.23 [9001]P1(f317(f317(x90011,x90012),x90013))+P1(f317(f305(f906(a1,a1),a53),f317(f317(f242(a1,a1),f454(x90011,x90013,x90012)),f455(x90011,x90013,x90012))))+~P1(f317(f305(f906(a1,a1),a53),f317(f317(f242(a1,a1),x90012),x90013)))
% 199.17/199.23 [9002]P1(f317(f317(x90021,x90022),x90023))+P1(f317(f305(f906(a1,a1),a212),f317(f317(f242(a1,a1),f456(x90021,x90023,x90022)),f458(x90021,x90023,x90022))))+~P1(f317(f305(f906(a1,a1),a212),f317(f317(f242(a1,a1),x90022),x90023)))
% 199.17/199.23 [9003]P1(f317(f317(x90031,x90032),x90033))+P1(f317(f305(f906(a1,a1),a172),f317(f317(f242(a1,a1),f657(x90031,x90033,x90032)),f661(x90031,x90033,x90032))))+~P1(f317(f305(f906(a1,a1),a172),f317(f317(f242(a1,a1),x90032),x90033)))
% 199.17/199.23 [9004]P1(f317(f317(x90041,x90042),x90043))+P1(f317(f305(f906(a1,a1),a123),f317(f317(f242(a1,a1),f753(x90041,x90043,x90042)),f754(x90041,x90043,x90042))))+~P1(f317(f305(f906(a1,a1),a123),f317(f317(f242(a1,a1),x90042),x90043)))
% 199.17/199.23 [9335]~P1(f317(f28(x93351),x93353))+P1(f317(f317(f319(f906(f907(x93351,a897),f907(x93351,a897))),f317(f317(f242(f907(x93351,a897),f907(x93351,a897)),x93352),x93353)),f304(x93351)))+~P1(f317(f317(f225(f907(x93351,a897)),x93352),x93353))
% 199.17/199.23 [9418]~P57(x94181,f317(x94183,f573(x94182,x94183,x94181)))+P57(x94181,f317(f317(f35(x94182,f907(x94181,f907(x94181,a897))),f232(f907(x94182,a897))),x94183))+~E(f317(f317(f92(f907(x94181,a897)),f239(x94181,x94181,f317(x94183,f572(x94182,x94183,x94181)))),f240(x94181,x94181,f317(x94183,f574(x94182,x94183,x94181)))),f179(f907(x94181,a897)))
% 199.17/199.23 [9623]P50(x96231,x96232,x96233)+P1(f317(f317(f319(f906(x96231,x96231)),f561(x96233,x96232,x96231)),x96233))+~P1(f317(f317(f319(f906(x96231,x96231)),f317(f317(f242(x96231,x96231),f560(x96233,x96232,x96231)),f560(x96233,x96232,x96231))),x96233))
% 199.17/199.23 [10226]P50(x102261,x102262,x102263)+~P1(f317(f317(f247(x102261,x102261,a897),f317(f317(f9(x102261,f907(x102261,a897),f907(x102261,a897)),f317(f317(f10(f907(a897,a897),f907(f907(x102261,a897),f907(x102261,a897)),x102261),f10(a897,a897,x102261)),f317(f317(f10(a897,f907(a897,a897),x102261),a315),f317(f317(f9(x102261,f907(x102261,a897),a897),f319(x102261)),x102262)))),f317(f317(f9(x102261,f907(x102261,a897),a897),f319(x102261)),x102262))),f561(x102263,x102262,x102261)))+~P1(f317(f317(f319(f906(x102261,x102261)),f317(f317(f242(x102261,x102261),f560(x102263,x102262,x102261)),f560(x102263,x102262,x102261))),x102263))
% 199.17/199.23 [5731]~P58(x57312)+E(x57311,f2(x57312))+E(f317(f317(f30(x57312),f317(f317(f75(x57312),x57313),x57311)),x57311),x57313)
% 199.17/199.23 [5732]~P58(x57322)+E(x57321,f2(x57322))+E(f317(f317(f30(x57322),f317(f317(f75(x57322),x57321),x57323)),x57321),x57323)
% 199.17/199.23 [6389]~P58(x63891)+E(f317(f317(f75(x63891),f317(f317(f30(x63891),x63892),x63893)),x63893),x63892)+~P1(f317(f317(f276(x63891),x63893),x63892))
% 199.17/199.23 [6551]~P72(x65511)+~E(f317(x65512,f2(a901)),f2(x65511))+E(f317(f317(f8(a901,x65511),x65512),f317(f293(a901,f317(a102,f2(a901))),x65513)),f317(f317(f8(a901,x65511),x65512),f317(f293(a901,f2(a901)),x65513)))
% 199.17/199.23 [6686]~P58(x66862)+E(x66861,f2(x66862))+E(f317(f317(f30(x66862),f317(f317(f74(x66862),x66863),x66861)),x66861),f317(f317(f74(x66862),f317(f317(f30(x66862),x66863),x66861)),f72(x66862)))
% 199.17/199.23 [6687]~P58(x66872)+E(x66871,f2(x66872))+E(f317(f317(f30(x66872),f317(f317(f74(x66872),x66871),x66873)),x66871),f317(f317(f74(x66872),f317(f317(f30(x66872),x66873),x66871)),f72(x66872)))
% 199.17/199.23 [6907]~P1(f317(x69073,f2(a1)))+P1(f317(f317(f224(a901),x69071),x69072))+P1(f317(x69073,f317(f90(a1),f317(f317(f3(a901),x69072),x69071))))
% 199.17/199.23 [7011]P1(f317(f317(f225(a901),x70112),x70111))+P1(f317(f317(f224(a901),x70111),x70112))+P1(f317(x70113,f317(f90(a1),f317(f317(f3(a901),x70112),x70111))))
% 199.17/199.23 [7086]E(f317(f317(f74(a901),f317(f94(a901),x70861)),f317(f317(f74(a901),f317(f94(a901),x70862)),x70863)),f317(f317(f74(a901),f317(f94(a901),x70861)),x70863))+P1(f317(a184,f317(f94(a1),x70861)))+~P1(f317(a184,f317(f94(a1),x70862)))
% 199.17/199.23 [7165]~E(x71652,f317(f317(f30(a901),x71653),x71651))+~P1(f317(f317(f225(a901),f2(a901)),x71651))+P1(f317(f317(f224(a901),f317(f317(f75(a901),x71651),x71652)),x71653))
% 199.17/199.23 [7280]~P1(f317(f28(x72801),x72803))+~P1(f317(f28(x72801),x72802))+P1(f317(f28(x72801),f317(f317(f91(f907(x72801,a897)),x72802),x72803)))
% 199.17/199.23 [7328]~P35(x73281,x73283)+~P35(x73281,x73282)+P35(x73281,f317(f317(f92(f907(f906(x73281,x73281),a897)),x73282),x73283))
% 199.17/199.23 [7329]~P49(x73291,x73293)+~P49(x73291,x73292)+P49(x73291,f317(f317(f91(f907(f906(x73291,x73291),a897)),x73292),x73293))
% 199.17/199.23 [7330]~P49(x73301,x73303)+~P49(x73301,x73302)+P49(x73301,f317(f317(f92(f907(f906(x73301,x73301),a897)),x73302),x73303))
% 199.17/199.23 [7563]~P108(x75631)+~P1(f317(f28(x75631),x75632))+E(f129(x75631,f317(f317(f3(f907(x75631,a897)),x75632),f317(f317(f299(x75631),x75633),f179(f907(x75631,a897))))),f160(x75631,x75633,f129(x75631,x75632)))
% 199.17/199.23 [7628]P1(f317(x76281,f2(a1)))+~P1(f317(f317(f225(a901),x76282),x76283))+~P1(f317(x76281,f317(f90(a1),f317(f317(f3(a901),x76282),x76283))))
% 199.17/199.23 [7646]~P1(f317(f28(x76461),x76462))+E(f317(f29(x76461),f317(f317(f3(f907(x76461,a897)),x76462),f317(f317(f299(x76461),x76463),f179(f907(x76461,a897))))),f317(f29(x76461),x76462))+P1(f317(f317(f319(x76461),x76463),x76462))
% 199.17/199.23 [7776]~P126(x77761)+~P1(f317(f317(f225(x77761),f72(x77761)),x77762))+P1(f317(f317(f225(x77761),f72(x77761)),f317(f317(f75(x77761),x77762),f317(f317(f234(x77761),x77762),x77763))))
% 199.17/199.23 [7818]~P1(f317(f28(x78181),x78183))+E(f317(f317(f3(a901),f317(f29(x78181),x78182)),f317(f29(x78181),x78183)),f317(f29(x78181),f317(f317(f3(f907(x78181,a897)),x78182),x78183)))+~P1(f317(f317(f224(f907(x78181,a897)),x78183),x78182))
% 199.17/199.23 [7877]~P1(f317(f317(f224(a901),x78772),x78773))+~P1(f317(f317(f224(a901),x78771),f317(f317(f3(a901),x78773),x78772)))+P1(f317(f317(f224(a901),f317(f317(f74(a901),x78771),x78772)),x78773))
% 199.17/199.23 [7935]P1(f317(f28(x79351),x79352))+~P1(f317(f28(x79351),x79353))+~P1(f317(f28(x79351),f317(f317(f3(f907(x79351,a897)),x79352),x79353)))
% 199.17/199.23 [7941]~P1(f317(f28(x79411),x79412))+E(f317(f29(x79411),f317(f317(f3(f907(x79411,a897)),x79412),f317(f317(f299(x79411),x79413),f179(f907(x79411,a897))))),f317(f317(f3(a901),f317(f29(x79411),x79412)),f72(a901)))+~P1(f317(f317(f319(x79411),x79413),x79412))
% 199.17/199.23 [8013]P57(x80131,x80132)+~P57(x80131,x80133)+~P1(f317(f317(f224(f907(x80131,f907(x80131,a897))),x80132),x80133))
% 199.17/199.23 [8049]~P1(f317(f317(f224(a901),x80493),x80492))+P1(f317(f317(f224(a901),x80491),f317(f317(f3(a901),x80492),x80493)))+~P1(f317(f317(f224(a901),f317(f317(f74(a901),x80491),x80493)),x80492))
% 199.17/199.23 [8067]P34(x80671,x80672)+~P34(x80671,x80673)+~P1(f317(f317(f224(f907(f906(x80671,x80671),a897)),x80672),x80673))
% 199.17/199.23 [8068]P55(x80681,x80682)+~P55(x80681,x80683)+~P1(f317(f317(f224(f907(f906(x80681,x80681),a897)),x80682),x80683))
% 199.17/199.23 [8069]P36(x80691,x80692)+~P36(x80691,x80693)+~P1(f317(f317(f224(f907(f906(x80691,x80691),a897)),x80692),x80693))
% 199.17/199.23 [8307]~P126(x83071)+~P1(f317(f317(f225(x83071),f72(x83071)),x83072))+P1(f317(f317(f225(x83071),f317(f317(f234(x83071),x83072),x83073)),f317(f317(f75(x83071),x83072),f317(f317(f234(x83071),x83072),x83073))))
% 199.17/199.23 [8395]~P1(f317(x83951,f2(a1)))+~P1(f317(x83951,f317(f317(f3(a1),f317(f90(a1),x83952)),f317(f90(a1),x83953))))+P1(f317(x83951,f317(f90(a1),f317(f317(f3(a901),x83952),x83953))))
% 199.17/199.23 [8410]~P1(f317(f317(f224(a901),x84103),x84102))+P1(f317(x84101,f317(f317(f3(a1),f317(f90(a1),x84102)),f317(f90(a1),x84103))))+~P1(f317(x84101,f317(f90(a1),f317(f317(f3(a901),x84102),x84103))))
% 199.17/199.23 [8430]P1(f317(f317(f225(a901),x84301),x84302))+~P1(f317(x84303,f317(f317(f3(a1),f317(f90(a1),x84301)),f317(f90(a1),x84302))))+P1(f317(x84303,f317(f90(a1),f317(f317(f3(a901),x84301),x84302))))
% 199.17/199.23 [8480]~P128(x84802)+E(x84801,f2(x84802))+P1(f317(f317(f225(x84802),f2(x84802)),f317(f317(f74(x84802),f317(f317(f75(x84802),x84803),x84803)),f317(f317(f75(x84802),x84801),x84801))))
% 199.17/199.23 [8481]~P128(x84812)+E(x84811,f2(x84812))+P1(f317(f317(f225(x84812),f2(x84812)),f317(f317(f74(x84812),f317(f317(f75(x84812),x84811),x84811)),f317(f317(f75(x84812),x84813),x84813))))
% 199.17/199.23 [8580]~P1(f317(f317(f225(a901),f2(a901)),x85801))+~P1(f317(f317(f225(a1),x85802),x85803))+P1(f317(f317(f225(a1),f317(f317(f75(a1),f317(f90(a1),x85801)),x85802)),f317(f317(f75(a1),f317(f90(a1),x85801)),x85803)))
% 199.17/199.23 [8637]E(f317(f317(f92(f907(x86371,a897)),x86372),f31(f907(x86371,a897),x86373)),f179(f907(x86371,a897)))+P1(f317(f317(f319(f907(x86371,a897)),x86372),x86373))+P1(f317(f317(f319(f907(x86371,a897)),f687(x86373,x86372,x86371)),f317(f317(f299(f907(x86371,a897)),x86372),x86373)))
% 199.17/199.23 [8638]E(f317(f317(f92(f907(x86381,a897)),x86382),f31(f907(x86381,a897),x86383)),f179(f907(x86381,a897)))+P1(f317(f317(f319(f907(x86381,a897)),x86382),x86383))+P1(f317(f317(f319(f907(x86381,a897)),f700(x86383,x86382,x86381)),f317(f317(f299(f907(x86381,a897)),x86382),x86383)))
% 199.17/199.23 [8667]E(x86671,x86672)+~E(f317(f180(f902(x86673)),x86671),f317(f180(f902(x86673)),x86672))+P1(f317(f317(f319(f906(x86673,x86673)),f645(x86673,x86671,x86672)),f317(f162(f906(x86673,x86673)),f317(f317(f171(x86673,x86673),x86672),x86671))))
% 199.17/199.23 [8908]E(f297(x89081,x89082),f297(x89081,x89083))+~P1(f317(f317(f224(f907(f906(x89081,x89081),a897)),x89083),f297(x89081,x89082)))+~P1(f317(f317(f224(f907(f906(x89081,x89081),a897)),x89082),x89083))
% 199.17/199.23 [8978]~P50(x89781,f232(f907(x89781,a897)),x89783)+P1(f317(f317(f224(f907(f906(f902(x89781),f902(x89781)),a897)),f147(x89781,x89782)),f148(x89781,x89783)))+~P1(f317(f317(f224(f907(f906(x89781,x89781),a897)),x89782),x89783))
% 199.17/199.23 [9168]P34(x91681,x91682)+~P1(f317(f317(f319(x91681),x91683),f585(x91682,x91681)))+P1(f317(f317(f319(f906(x91681,x91681)),f317(f317(f242(x91681,x91681),f596(x91682,x91681,x91683)),x91683)),x91682))
% 199.17/199.23 [9197]~P1(f317(f28(x91971),x91972))+P1(f317(f28(f907(x91971,a897)),f317(f317(f55(x91971),x91972),x91973)))+~P1(f317(f317(f224(f907(f906(x91971,x91971),a897)),x91973),f317(f317(f244(x91971,x91971),x91972),f317(f18(f907(x91971,a897),x91971),x91972))))
% 199.17/199.23 [9238]P50(x92381,x92382,x92383)+P1(f317(f317(f319(x92381),f547(x92383,x92382,x92381)),x92382))+~P1(f317(f317(f224(f907(f906(x92381,x92381),a897)),x92383),f317(f317(f244(x92381,x92381),x92382),f317(f18(f907(x92381,a897),x92381),x92382))))
% 199.17/199.23 [9239]P50(x92391,x92392,x92393)+P1(f317(f317(f319(x92391),f554(x92392,x92393,x92391)),x92392))+~P1(f317(f317(f224(f907(f906(x92391,x92391),a897)),x92393),f317(f317(f244(x92391,x92391),x92392),f317(f18(f907(x92391,a897),x92391),x92392))))
% 199.17/199.23 [9278]~P64(x92781)+~P1(f317(f317(f225(x92781),x92782),x92783))+P1(f317(f317(f225(x92781),f317(f317(f280(x92781),f317(f317(f74(x92781),x92782),x92783)),f317(f317(f74(x92781),f72(x92781)),f72(x92781)))),x92783))
% 199.17/199.23 [9309]~P63(x93091)+P1(f317(f317(f224(x93091),x93092),x93093))+~P1(f317(f317(f224(x93091),f317(f317(f75(x93091),f348(x93093,x93092,x93091)),x93092)),x93093))
% 199.17/199.23 [9449]E(f317(f180(f902(f902(x94491))),f317(f126(f902(x94491),f317(f317(f10(a901,a897,f902(x94491)),f317(f225(a901),x94492)),f180(f902(x94491)))),f169(x94491,x94493))),f317(f180(f902(x94491)),f317(f317(f154(f902(x94491)),x94493),x94492)))+~P11(a901,f317(f158(a901),f317(f317(f144(f902(x94491),a901),f180(f902(x94491))),x94493)))+~P1(f317(f317(f225(a901),x94492),f317(f180(f902(f902(x94491))),x94493)))
% 199.17/199.23 [9569]~P34(x95691,x95692)+P24(x95691,f317(f317(f242(f907(f906(x95691,x95691),a897),f907(f906(x95691,x95691),a897)),x95692),x95693))+~P1(f317(f317(f224(f907(f906(x95691,x95691),a897)),f317(f317(f278(x95691,x95691,x95691),x95692),x95693)),x95692))
% 199.17/199.23 [9574]E(f317(f317(f144(f902(x95741),x95741),f317(f317(f9(f902(x95741),a901,x95741),f154(x95741)),x95742)),f317(f126(f902(x95741),f317(f317(f10(a901,a897,f902(x95741)),f317(f225(a901),x95742)),f180(f902(x95741)))),f169(x95741,x95743))),f317(f317(f154(f902(x95741)),x95743),x95742))+~P11(a901,f317(f158(a901),f317(f317(f144(f902(x95741),a901),f180(f902(x95741))),x95743)))+~P1(f317(f317(f225(a901),x95742),f317(f180(f902(f902(x95741))),x95743)))
% 199.17/199.23 [9719]P50(x97191,x97192,x97193)+~P1(f317(f317(f319(f906(x97191,x97191)),f317(f317(f242(x97191,x97191),f547(x97193,x97192,x97191)),f547(x97193,x97192,x97191))),x97193))+~P1(f317(f317(f224(f907(f906(x97191,x97191),a897)),x97193),f317(f317(f244(x97191,x97191),x97192),f317(f18(f907(x97191,a897),x97191),x97192))))
% 199.17/199.23 [9720]P50(x97201,x97202,x97203)+~P1(f317(f317(f319(f906(x97201,x97201)),f317(f317(f242(x97201,x97201),f554(x97202,x97203,x97201)),f554(x97202,x97203,x97201))),x97203))+~P1(f317(f317(f224(f907(f906(x97201,x97201),a897)),x97203),f317(f317(f244(x97201,x97201),x97202),f317(f18(f907(x97201,a897),x97201),x97202))))
% 199.17/199.23 [9912]~P141(x99121)+~P125(x99121)+E(f317(f317(f280(x99121),f317(f93(x99121),f317(f317(f67(f906(a1,a1),a1,x99122,f241(a1,a1)),f203(x99122)),x99123))),f317(f93(x99121),f317(f317(f67(f906(a1,a1),a1,x99122,f246(a1,a1)),f203(x99122)),x99123))),f213(x99122,x99121,x99123))
% 199.17/199.23 [10094]~E(x100943,f2(a901))+~E(f317(f180(f902(x100941)),f317(f317(f154(f902(x100941)),x100942),f694(x100943,x100941,x100942))),x100943)+E(f317(f317(f144(a901,f902(x100941)),f317(f317(f9(a901,f902(a901),f902(x100941)),f317(f317(f10(f907(a901,x100941),f907(f902(a901),f902(x100941)),a901),f144(a901,x100941)),f317(f9(a901,a901,x100941),f317(f317(f10(f902(x100941),f907(a901,x100941),a901),f154(x100941)),f317(f154(f902(x100941)),x100942))))),f129(a901,f317(f293(a901,f2(a901)),f317(f180(f902(f902(x100941))),x100942))))),f129(a901,f317(f293(a901,f2(a901)),x100943))),f169(x100941,x100942))
% 199.17/199.23 [10095]E(x100951,f103(f902(x100952)))+~E(f317(f180(f902(x100952)),f317(f317(f154(f902(x100952)),x100951),f694(x100953,x100952,x100951))),x100953)+E(f317(f317(f144(a901,f902(x100952)),f317(f317(f9(a901,f902(a901),f902(x100952)),f317(f317(f10(f907(a901,x100952),f907(f902(a901),f902(x100952)),a901),f144(a901,x100952)),f317(f9(a901,a901,x100952),f317(f317(f10(f902(x100952),f907(a901,x100952),a901),f154(x100952)),f317(f154(f902(x100952)),x100951))))),f129(a901,f317(f293(a901,f2(a901)),f317(f180(f902(f902(x100952))),x100951))))),f129(a901,f317(f293(a901,f2(a901)),x100953))),f169(x100952,x100951))
% 199.17/199.23 [10096]~E(x100963,f2(a901))+E(f317(f317(f144(a901,f902(x100961)),f317(f317(f9(a901,f902(a901),f902(x100961)),f317(f317(f10(f907(a901,x100961),f907(f902(a901),f902(x100961)),a901),f144(a901,x100961)),f317(f9(a901,a901,x100961),f317(f317(f10(f902(x100961),f907(a901,x100961),a901),f154(x100961)),f317(f154(f902(x100961)),x100962))))),f129(a901,f317(f293(a901,f2(a901)),f317(f180(f902(f902(x100961))),x100962))))),f129(a901,f317(f293(a901,f2(a901)),x100963))),f169(x100961,x100962))+P1(f317(f317(f225(a901),f694(x100963,x100961,x100962)),f317(f180(f902(f902(x100961))),x100962)))
% 199.17/199.23 [10097]E(x100971,f103(f902(x100972)))+E(f317(f317(f144(a901,f902(x100972)),f317(f317(f9(a901,f902(a901),f902(x100972)),f317(f317(f10(f907(a901,x100972),f907(f902(a901),f902(x100972)),a901),f144(a901,x100972)),f317(f9(a901,a901,x100972),f317(f317(f10(f902(x100972),f907(a901,x100972),a901),f154(x100972)),f317(f154(f902(x100972)),x100971))))),f129(a901,f317(f293(a901,f2(a901)),f317(f180(f902(f902(x100972))),x100971))))),f129(a901,f317(f293(a901,f2(a901)),x100973))),f169(x100972,x100971))+P1(f317(f317(f225(a901),f694(x100973,x100972,x100971)),f317(f180(f902(f902(x100972))),x100971)))
% 199.17/199.23 [7815]E(f317(f317(f74(a901),f317(f94(a901),x78151)),f317(f317(f74(a901),f317(f94(a901),x78152)),x78153)),f317(f317(f74(a901),f317(f94(a901),f317(f317(f74(a1),x78151),x78152))),x78153))+P1(f317(a184,f317(f94(a1),x78151)))+P1(f317(a184,f317(f94(a1),x78152)))
% 199.17/199.23 [8572]~P1(f317(f28(x85721),x85722))+~P1(f317(f317(f319(x85721),x85723),x85722))+E(f317(a102,f317(f29(x85721),f317(f317(f3(f907(x85721,a897)),x85722),f317(f317(f299(x85721),x85723),f179(f907(x85721,a897)))))),f317(f29(x85721),x85722))
% 199.17/199.23 [8586]~P1(f317(f28(x85861),x85862))+~P1(f317(f317(f319(x85861),x85863),x85862))+E(f317(f317(f74(a901),f72(a901)),f317(f29(x85861),f317(f317(f3(f907(x85861,a897)),x85862),f317(f317(f299(x85861),x85863),f179(f907(x85861,a897)))))),f317(f29(x85861),x85862))
% 199.17/199.23 [8675]~P108(x86751)+~P1(f317(f28(x86751),x86753))+E(f317(f317(f138(x86751,x86751,f7(x86751)),x86752),f129(x86751,f317(f317(f3(f907(x86751,a897)),x86753),f317(f317(f299(x86751),x86752),f179(f907(x86751,a897)))))),f129(x86751,f317(f317(f299(x86751),x86752),x86753)))
% 199.17/199.23 [8834]~P1(f317(f28(x88341),x88343))+~P1(f317(f28(x88341),x88342))+E(f317(f317(f74(a901),f317(f29(x88341),f317(f317(f91(f907(x88341,a897)),x88342),x88343))),f317(f29(x88341),f317(f317(f92(f907(x88341,a897)),x88342),x88343))),f317(f317(f74(a901),f317(f29(x88341),x88342)),f317(f29(x88341),x88343)))
% 199.17/199.23 [10055]~P22(x100551,f907(f907(x100551,a897),a897),f317(f317(f9(x100551,f907(f906(x100551,x100551),a897),f907(f907(x100551,a897),a897)),f317(f317(f10(f907(x100551,a897),f907(f907(f906(x100551,x100551),a897),f907(f907(x100551,a897),a897)),x100551),f55(x100551)),f317(f317(f9(x100551,f907(x100551,a897),f907(x100551,a897)),f299(x100551)),f179(f907(x100551,a897))))),x100553),x100552)+~P1(f317(f28(x100551),x100552))+E(f317(f29(f907(x100551,a897)),f317(f317(f55(x100551),x100552),x100553)),f317(f29(x100551),x100552))
% 199.17/199.23 [8227]~P97(x82271)+P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x82273)))+E(f317(f317(f234(x82271),x82272),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x82273)),x82273))),f72(x82271))
% 199.17/199.23 [9562]~P97(x95621)+~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x95623)))+E(f317(f317(f234(x95621),x95622),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x95623)),x95623))),f317(f317(f82(x95621,x95621),f317(f317(f234(x95621),x95622),f317(f94(a901),x95623))),f317(f317(f20(x95621,x95621,x95621),f317(f317(f10(x95621,f907(x95621,x95621),x95621),f75(x95621)),f317(f75(x95621),x95622))),f7(x95621))))
% 199.17/199.23 [9975]~P1(f317(f127(x99751),x99753))+~P1(f317(f317(f319(x99751),x99752),f317(f162(x99751),x99753)))+E(f317(f317(f128(x99751),f317(f180(f902(x99751)),f167(x99751,f317(f317(f10(a897,a897,x99751),a312),f317(f317(f9(x99751,x99751,a897),a314),x99752)),f317(f158(x99751),x99753)))),f317(f158(x99751),x99753)),f317(f317(f141(x99751),x99752),f317(f158(x99751),f167(x99751,f317(f317(f10(a897,a897,x99751),a312),f317(f317(f9(x99751,x99751,a897),a314),x99752)),x99753))))
% 199.17/199.23 [10029]P1(f317(f317(f224(f907(f906(x100291,x100291),a897)),f297(x100291,x100292)),x100293))+~P1(f317(f317(f224(f907(f906(x100291,x100291),a897)),f297(x100291,f179(f907(f906(x100291,x100291),a897)))),x100293))+~P1(f317(f317(f224(f907(f906(x100291,x100291),a897)),f317(f317(f278(x100291,x100291,x100291),f317(f317(f92(f907(f906(x100291,x100291),a897)),f297(x100291,x100292)),x100293)),x100292)),x100293))
% 199.17/199.23 [9886]~P1(f317(f28(x98861),f317(f252(x98861),x98863)))+~P1(f317(f28(x98861),f317(f252(x98861),x98862)))+P1(f317(f28(x98861),f317(f252(x98861),f317(f317(f20(x98861,a897,a897),f317(f317(f10(a897,f907(a897,a897),x98861),a316),x98862)),x98863))))
% 199.17/199.23 [10157]P1(f317(f317(f224(f907(f906(x101571,x101571),a897)),f317(f317(f278(x101571,x101571,x101571),x101572),f297(x101571,x101572))),x101573))+~P1(f317(f317(f224(f907(f906(x101571,x101571),a897)),x101572),x101573))+~P1(f317(f317(f224(f907(f906(x101571,x101571),a897)),f317(f317(f278(x101571,x101571,x101571),f317(f317(f92(f907(f906(x101571,x101571),a897)),f317(f317(f278(x101571,x101571,x101571),x101572),f297(x101571,x101572))),x101573)),x101572)),x101573))
% 199.17/199.23 [10114]~P1(f317(f127(x101141),x101143))+~P1(f317(f317(f319(x101141),x101142),f317(f162(x101141),x101143)))+E(f317(f158(x101141),f317(f161(x101141),f317(f317(f128(x101141),f317(f180(f902(x101141)),f167(x101141,f317(f317(f10(a897,a897,x101141),a312),f317(f317(f9(x101141,x101141,a897),a314),x101142)),x101143))),x101143))),f167(x101141,f317(f317(f10(a897,a897,x101141),a312),f317(f317(f9(x101141,x101141,a897),a314),x101142)),f317(f158(x101141),x101143)))
% 199.17/199.23 [10311]~P119(x103112)+E(x103111,f2(x103112))+~E(f317(f317(f74(x103112),f317(f317(f234(x103112),x103113),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))),f317(f317(f234(x103112),x103111),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))),f2(x103112))
% 199.17/199.23 [10312]~P119(x103122)+E(x103121,f2(x103122))+~E(f317(f317(f74(x103122),f317(f317(f234(x103122),x103121),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))),f317(f317(f234(x103122),x103123),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))),f2(x103122))
% 199.17/199.23 [10346]~P119(x103462)+E(x103461,f2(x103462))+P1(f317(f317(f225(x103462),f2(x103462)),f317(f317(f74(x103462),f317(f317(f234(x103462),x103463),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))),f317(f317(f234(x103462),x103461),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))))))
% 199.17/199.23 [10347]~P119(x103472)+E(x103471,f2(x103472))+P1(f317(f317(f225(x103472),f2(x103472)),f317(f317(f74(x103472),f317(f317(f234(x103472),x103471),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))),f317(f317(f234(x103472),x103473),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))))))
% 199.17/199.23 [10370]~P119(x103701)+P1(f317(f317(f224(x103701),f2(x103701)),x103702))+~P1(f317(f317(f224(x103701),f2(x103701)),f317(f317(f234(x103701),x103702),f317(a102,f317(f317(f75(a901),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),x103703)))))
% 199.17/199.23 [5028]~E(x50282,f84(x50283,x50281))+P1(f317(x50281,x50282))+~P1(f317(x50281,x50284))
% 199.17/199.23 [5273]E(f62(x52733,x52732,x52734),x52732)+E(x52731,f720(x52732,x52733,x52734))+~P1(f317(x52734,x52731))
% 199.17/199.23 [6610]E(f62(x66101,x66102,x66103),f79(x66101,x66103))+~E(f756(x66102,x66101,x66103,x66104),x66104)+~P1(f317(x66103,x66104))
% 199.17/199.23 [6822]~P34(x68222,x68224)+~P34(x68221,x68223)+P34(f906(x68221,x68222),f309(x68221,x68222,x68223,x68224))
% 199.17/199.23 [6823]~P35(x68232,x68234)+~P35(x68231,x68233)+P35(f906(x68231,x68232),f309(x68231,x68232,x68233,x68234))
% 199.17/199.23 [5213]~P5(x52134,x52131)+~E(f317(x52131,x52132),f317(x52131,x52133))+P1(f317(f317(x52131,x52132),x52133))
% 199.17/199.23 [5372]~P5(x53724,x53721)+E(f317(x53721,x53722),f317(x53721,x53723))+~P1(f317(f317(x53721,x53722),x53723))
% 199.17/199.23 [5373]~P13(x53734,x53731)+E(f317(x53731,x53732),f317(x53731,x53733))+~P1(f317(f317(x53731,x53732),x53733))
% 199.17/199.23 [5469]~P16(x54693,x54694,x54691)+E(f317(x54691,x54692),f317(f57(x54693,x54694),x54692))+~P1(f317(f28(x54693),x54692))
% 199.17/199.23 [5470]~P7(x54703,x54704,x54701)+E(f317(x54701,x54702),f317(f57(x54703,x54704),x54702))+~P1(f317(f28(x54703),x54702))
% 199.17/199.23 [5596]~P5(x55964,x55961)+~P1(f317(f317(x55961,x55963),x55962))+P1(f317(f317(x55961,x55962),x55963))
% 199.17/199.23 [5597]~P48(x55974,x55971)+~P1(f317(f317(x55971,x55973),x55972))+P1(f317(f317(x55971,x55972),x55973))
% 199.17/199.23 [5598]~P13(x55984,x55981)+~P1(f317(f317(x55981,x55983),x55982))+P1(f317(f317(x55981,x55982),x55983))
% 199.17/199.23 [5599]~P13(x55993,x55991)+P1(f317(f317(x55991,x55992),x55992))+~P1(f317(f317(x55991,x55994),x55992))
% 199.17/199.23 [5600]~P13(x56003,x56001)+P1(f317(f317(x56001,x56002),x56002))+~P1(f317(f317(x56001,x56002),x56004))
% 199.17/199.23 [5672]E(x56721,x56722)+~E(f317(f241(x56723,x56724),x56721),f317(f241(x56723,x56724),x56722))+~E(f317(f246(x56723,x56724),x56721),f317(f246(x56723,x56724),x56722))
% 199.17/199.23 [5700]E(x57001,x57002)+~P1(f317(f43(x57003,x57004),x57002))+~P1(f317(f43(x57003,x57004),x57001))
% 199.17/199.23 [5900]~P72(x59002)+E(f222(x59001,x59002,x59003,x59004),f2(x59002))+P1(f317(f28(x59001),x59004))
% 199.17/199.23 [5948]~P5(x59483,x59482)+~P1(f317(x59481,x59484))+P1(f317(x59481,f801(x59481,x59482,x59483)))
% 199.17/199.23 [6045]~P1(f317(f305(x60451,x60452),x60454))+P1(f317(f305(x60451,x60452),x60453))+~P1(f317(f317(x60452,x60453),x60454))
% 199.17/199.23 [6859]~P26(x68591,x68593,x68594)+P1(f317(x68591,x68592))+~P1(f317(f317(f319(a1),x68592),f294(a1,x68593,x68594)))
% 199.17/199.23 [7047]~P5(x70471,x70473)+~P1(f317(x70472,x70474))+P1(f317(f317(f319(x70471),f801(x70472,x70473,x70471)),f260(x70471,x70473)))
% 199.17/199.23 [7929]E(x79291,f2(a901))+~P1(f317(x79292,x79293))+P1(f317(x79292,f751(x79292,x79293,x79291,x79294)))
% 199.17/199.23 [8008]~P108(x80082)+~P1(f317(f127(x80081),x80084))+P1(f317(f127(x80081),f140(x80081,x80082,x80083,x80084)))
% 199.17/199.23 [8048]E(f62(x80481,x80482,x80483),f79(x80481,x80483))+~P1(f317(x80483,x80484))+P1(f317(x80483,f756(x80482,x80481,x80483,x80484)))
% 199.17/199.23 [8233]~P1(f317(f28(x82332),x82334))+~P1(f317(f28(x82331),x82333))+P1(f317(f28(f908(x82331,x82332)),f303(x82331,x82332,x82333,x82334)))
% 199.17/199.23 [8234]~P1(f317(f127(x82342),x82344))+~P1(f317(f127(x82341),x82343))+P1(f317(f127(f906(x82341,x82342)),f54(x82341,x82342,x82343,x82344)))
% 199.17/199.23 [8237]P1(f317(f317(f319(f902(x82371)),f317(f317(f124(x82371),x82372),x82373)),f151(x82371,x82374)))+~P1(f317(f317(f319(f902(x82371)),x82373),f151(x82371,x82374)))+~P1(f317(f317(f319(f902(x82371)),x82372),f151(x82371,x82374)))
% 199.17/199.23 [8511]E(x85111,f2(a901))+P1(f317(x85112,x85113))+~P1(f317(x85112,f752(x85112,x85113,x85111,x85114)))
% 199.17/199.23 [8547]~P108(x85473)+~P1(f317(f127(x85471),f140(x85471,x85473,x85474,x85472)))+P1(f317(f127(x85471),x85472))
% 199.17/199.23 [8823]~P1(f317(f317(f319(f906(x88231,x88231)),f317(f317(f242(x88231,x88231),x88232),x88234)),f297(x88231,x88233)))+P1(f317(f317(f319(x88231),x88232),f306(x88231,x88233)))+~P1(f317(f317(f319(x88231),x88234),f306(x88231,x88233)))
% 199.17/199.23 [5198]~P72(x51982)+E(f317(f317(f8(x51981,x51982),x51983),x51984),f2(x51982))+P1(f317(f28(x51981),x51984))
% 199.17/199.23 [5201]~P79(x52012)+E(f317(f317(f11(x52011,x52012),x52013),x52014),f72(x52012))+P1(f317(f28(x52011),x52014))
% 199.17/199.23 [5335]~P73(x53353)+E(x53351,x53352)+~E(f317(f317(f74(x53353),x53354),x53351),f317(f317(f74(x53353),x53354),x53352))
% 199.17/199.23 [5336]~P74(x53363)+E(x53361,x53362)+~E(f317(f317(f74(x53363),x53364),x53361),f317(f317(f74(x53363),x53364),x53362))
% 199.17/199.23 [5338]~P73(x53383)+E(x53381,x53382)+~E(f317(f317(f74(x53383),x53381),x53384),f317(f317(f74(x53383),x53382),x53384))
% 199.17/199.23 [5422]~E(x54222,f317(f317(f299(x54221),x54223),x54224))+~P1(f317(f28(x54221),x54224))+P1(f317(f28(x54221),x54222))
% 199.17/199.23 [5436]~P121(x54361)+~E(x54363,f317(f317(f75(x54361),x54362),x54364))+P1(f317(f317(f276(x54361),x54362),x54363))
% 199.17/199.23 [5464]~P3(x54643)+E(x54641,f179(f907(x54642,a897)))+E(f317(f317(f34(x54642,x54643),x54641),f317(f18(x54643,x54642),x54644)),x54644)
% 199.17/199.23 [5465]~P3(x54653)+E(x54651,f179(f907(x54652,a897)))+E(f317(f317(f35(x54652,x54653),x54651),f317(f18(x54653,x54652),x54654)),x54654)
% 199.17/199.23 [5686]~P109(x56863)+E(x56861,x56862)+~E(f294(x56863,x56864,x56861),f317(f317(f299(x56863),x56862),f179(f907(x56863,a897))))
% 199.17/199.23 [5687]~P109(x56873)+E(x56871,x56872)+~E(f294(x56873,x56871,x56872),f317(f317(f299(x56873),x56874),f179(f907(x56873,a897))))
% 199.17/199.23 [5747]~P32(x57473,x57471,x57474)+P32(x57473,x57471,f317(f317(f141(x57473),x57472),x57474))+P1(f317(x57471,x57472))
% 199.17/199.23 [5849]~P28(x58491,x58492,x58494)+~P1(f317(x58492,x58493))+P28(x58491,x58492,f317(f317(f141(x58491),x58493),x58494))
% 199.17/199.23 [6001]P1(f317(x60011,x60012))+~P1(f317(f238(x60013,x60011),x60014))+~P1(f317(f317(f319(x60013),x60012),x60014))
% 199.17/199.23 [6010]~P28(x60101,x60102,x60104)+~P28(x60101,x60102,x60103)+P28(x60101,x60102,f317(f317(f124(x60101),x60103),x60104))
% 199.17/199.23 [6024]P30(x60241,x60242,x60243)+~P30(x60241,x60242,f317(f317(f141(x60241),x60244),x60243))+P1(f317(x60242,x60244))
% 199.17/199.23 [6025]P32(x60251,x60252,x60253)+~P32(x60251,x60252,f317(f317(f141(x60251),x60254),x60253))+P1(f317(x60252,x60254))
% 199.17/199.23 [6098]P30(x60981,x60982,x60983)+P30(x60981,x60982,x60984)+~P30(x60981,x60982,f317(f317(f124(x60981),x60984),x60983))
% 199.17/199.23 [6119]~P72(x61191)+E(f317(f317(f8(a901,x61191),x61192),f317(f293(a901,x61193),f317(a102,x61194))),f2(x61191))+~P1(f317(f317(f225(a901),x61194),x61193))
% 199.17/199.23 [6124]~P59(x61241)+~E(f40(x61241,x61242,x61243),f40(x61241,x61244,x61243))+E(f40(x61241,f317(f73(x61241),x61242),x61243),f40(x61241,f317(f73(x61241),x61244),x61243))
% 199.17/199.23 [6192]P1(f317(x61921,x61922))+~E(f317(f126(x61923,x61921),x61924),x61924)+~P1(f317(f317(f319(x61923),x61922),f317(f162(x61923),x61924)))
% 199.17/199.23 [6212]~E(f317(f317(f74(a901),x62123),x62122),f317(f317(f74(a901),x62121),x62124))+~P1(f317(f317(f225(a901),x62123),x62124))+P1(f317(f317(f225(a901),x62121),x62122))
% 199.17/199.23 [6218]P30(x62181,x62182,x62183)+~P1(f317(x62182,x62184))+~P1(f317(f317(f319(x62181),x62184),f317(f162(x62181),x62183)))
% 199.17/199.23 [6221]~P58(x62211)+E(f40(x62211,f40(x62211,x62212,x62213),x62214),f40(x62211,x62212,x62214))+~P1(f317(f317(f276(x62211),x62214),x62213))
% 199.17/199.23 [6263]~P28(x62633,x62631,x62634)+P1(f317(x62631,x62632))+~P1(f317(f317(f319(x62633),x62632),f317(f162(x62633),x62634)))
% 199.17/199.23 [6265]~E(f317(f126(x62651,x62652),x62653),f103(x62651))+~P1(f317(x62652,x62654))+~P1(f317(f317(f319(x62651),x62654),f317(f162(x62651),x62653)))
% 199.17/199.23 [6266]~E(f167(x62663,x62661,x62664),x62664)+P1(f317(x62661,x62662))+~P1(f317(f317(f319(x62663),x62662),f317(f162(x62663),x62664)))
% 199.17/199.23 [6289]~E(x62894,f179(f907(x62892,a897)))+~E(x62893,f179(f907(x62891,a897)))+E(f303(x62891,x62892,x62893,x62894),f179(f907(f908(x62891,x62892),a897)))
% 199.17/199.23 [6438]P1(f317(x64381,x64382))+~P1(f317(f150(x64383,x64381),x64384))+~P1(f317(f317(f319(x64383),x64382),f317(f162(x64383),x64384)))
% 199.17/199.23 [6579]~P27(x65791,x65793,x65794)+P1(f317(x65791,x65792))+~P1(f317(f317(f319(a901),x65792),f317(f293(a901,x65793),x65794)))
% 199.17/199.23 [6716]~P72(x67161)+E(f317(f317(f8(a901,x67161),x67162),f294(a901,x67163,f317(a102,x67164))),f2(x67161))+~P1(f317(f317(f225(a901),f317(a102,x67164)),x67163))
% 199.17/199.23 [6862]~P108(x68621)+E(f317(f317(f3(f907(x68621,a897)),f317(f293(x68621,x68622),x68623)),f317(f293(x68621,x68622),x68624)),f317(f293(x68621,x68624),x68623))+~P1(f317(f317(f224(x68621),x68622),x68624))
% 199.17/199.23 [6926]~E(x69263,x69264)+E(x69261,f2(a901))+P1(f317(f317(f319(x69262),x69263),f317(f162(x69262),f159(x69262,x69261,x69264))))
% 199.17/199.23 [7210]~P1(f317(f317(f319(f902(x72101)),x72104),f151(x72101,x72103)))+P1(f317(f317(f319(x72101),x72102),x72103))+~P1(f317(f317(f319(x72101),x72102),f317(f162(x72101),x72104)))
% 199.17/199.23 [7217]~P34(x72171,x72172)+P1(f317(f317(f319(x72171),f586(x72172,x72171,x72173)),x72173))+~P1(f317(f317(f319(x72171),x72174),x72173))
% 199.17/199.23 [7274]~P72(x72741)+E(f317(f317(f317(f59(x72741,x72742,f74(x72741)),x72743),f2(x72741)),x72744),f317(f317(f8(x72742,x72741),x72743),x72744))+~P1(f317(f28(x72742),x72744))
% 199.17/199.23 [7276]~P79(x72761)+E(f317(f317(f317(f59(x72761,x72762,f75(x72761)),x72763),f72(x72761)),x72764),f317(f317(f11(x72762,x72761),x72763),x72764))+~P1(f317(f28(x72762),x72764))
% 199.17/199.23 [7303]P22(x73031,x73032,x73033,x73034)+~E(f317(f29(x73032),f317(f300(x73031,x73032,x73033),x73034)),f317(f29(x73031),x73034))+~P1(f317(f28(x73031),x73034))
% 199.17/199.23 [7487]~P72(x74871)+E(f317(f317(f74(x74871),f317(x74872,x74873)),f317(f317(f8(a901,x74871),x74872),f295(a901,x74873,x74874))),f317(f317(f8(a901,x74871),x74872),f294(a901,x74873,x74874)))+~P1(f317(f317(f224(a901),x74873),x74874))
% 199.17/199.23 [7496]~P72(x74961)+~P22(x74962,x74961,x74963,x74964)+E(f317(f317(f8(x74961,x74961),f25(x74961)),f317(f300(x74962,x74961,x74963),x74964)),f317(f317(f8(x74962,x74961),x74963),x74964))
% 199.17/199.23 [7497]~P79(x74971)+~P22(x74972,x74971,x74973,x74974)+E(f317(f317(f11(x74971,x74971),f25(x74971)),f317(f300(x74972,x74971,x74973),x74974)),f317(f317(f11(x74972,x74971),x74973),x74974))
% 199.17/199.23 [7545]E(f317(f29(f908(x75451,x75452)),f303(x75451,x75452,x75453,x75454)),f317(f317(f74(a901),f317(f29(x75451),x75453)),f317(f29(x75452),x75454)))+~P1(f317(f28(x75452),x75454))+~P1(f317(f28(x75451),x75453))
% 199.17/199.23 [7629]E(x76291,x76292)+P1(f317(f317(f319(x76293),x76291),f317(f162(x76293),f160(x76293,x76292,x76294))))+~P1(f317(f317(f319(x76293),x76291),f317(f162(x76293),x76294)))
% 199.17/199.23 [7855]~P72(x78551)+E(f317(f317(f74(x78551),f317(f317(f8(a901,x78551),x78552),f317(f293(a901,x78553),x78554))),f317(x78552,x78554)),f317(f317(f8(a901,x78551),x78552),f317(f293(a901,x78553),f317(a102,x78554))))+P1(f317(f317(f225(a901),x78554),x78553))
% 199.17/199.23 [7908]~P22(x79081,x79082,x79083,f232(f907(x79081,a897)))+~P1(f317(f28(x79082),x79084))+P1(f317(f28(x79081),f317(f301(x79081,x79082,x79083),x79084)))
% 199.17/199.23 [8023]P1(f317(f317(f319(f902(x80231)),f317(f317(f141(x80231),x80232),x80233)),f151(x80231,x80234)))+~P1(f317(f317(f319(f902(x80231)),x80233),f151(x80231,x80234)))+~P1(f317(f317(f319(x80231),x80232),x80234))
% 199.17/199.23 [8103]~E(f317(f300(x81033,x81031,x81034),f232(f907(x81033,a897))),f232(f907(x81031,a897)))+P1(f317(f28(x81031),x81032))+~P1(f317(f28(x81033),f317(f301(x81033,x81031,x81034),x81032)))
% 199.17/199.23 [8202]~P22(x82021,x82023,x82024,x82022)+P1(f317(f28(x82021),x82022))+~P1(f317(f28(x82023),f317(f300(x82021,x82023,x82024),x82022)))
% 199.17/199.23 [8226]~E(x82262,x82263)+P1(f317(f317(f319(f906(x82261,x82261)),f317(f317(f242(x82261,x82261),x82262),x82263)),f253(x82261,x82264)))+~P1(f317(f317(f319(x82261),x82262),x82264))
% 199.17/199.23 [8260]~P72(x82601)+E(f317(f317(f74(x82601),f317(f317(f8(a901,x82601),x82602),f294(a901,x82603,x82604))),f317(x82602,f317(a102,x82604))),f317(f317(f8(a901,x82601),x82602),f294(a901,x82603,f317(a102,x82604))))+P1(f317(f317(f225(a901),f317(a102,x82604)),x82603))
% 199.17/199.23 [8319]P1(f317(x83191,x83192))+~P1(f317(x83191,f317(f317(f154(x83193),x83194),f643(x83191,x83194,x83193))))+~P1(f317(f317(f319(x83193),x83192),f317(f162(x83193),x83194)))
% 199.17/199.23 [8456]~P1(f317(f317(f319(x84561),x84562),f306(x84561,x84564)))+P1(f317(f317(f319(f902(x84561)),f317(f317(f141(x84561),x84562),x84563)),f306(f902(x84561),f147(x84561,x84564))))+~P1(f317(f317(f319(f902(x84561)),x84563),f306(f902(x84561),f147(x84561,x84564))))
% 199.17/199.23 [8471]~P22(x84712,x84713,x84714,f519(x84714,x84713,x84712,x84711))+P22(x84712,x84713,x84714,f32(f907(x84712,a897),x84711))+E(x84711,f179(f907(f907(x84712,a897),a897)))
% 199.17/199.23 [8739]E(x87391,x87392)+~P1(f317(f317(f319(f906(x87393,x87393)),f317(f317(f242(x87393,x87393),x87391),x87392)),f297(x87393,x87394)))+P1(f317(f317(f319(x87393),x87391),f317(f254(x87393,x87393),x87394)))
% 199.17/199.23 [9014]E(x90141,f2(a901))+P1(f317(x90142,x90143))+P1(f317(f317(f319(x90144),f752(x90142,x90143,x90141,x90144)),f317(f162(x90144),f159(x90144,x90141,x90143))))
% 199.17/199.23 [9026]E(x90261,f2(a901))+~P1(f317(x90263,x90264))+P1(f317(f317(f319(x90262),f751(x90263,x90264,x90261,x90262)),f317(f162(x90262),f159(x90262,x90261,x90264))))
% 199.17/199.23 [9028]~P23(x90281,x90282,x90283,f232(f907(x90281,a897)),f232(f907(x90282,a897)))+~P1(f317(f28(x90282),x90284))+P1(f317(f28(x90281),f317(f301(x90281,x90282,x90283),x90284)))
% 199.17/199.23 [9030]P22(x90302,x90303,x90304,f32(f907(x90302,a897),x90301))+E(x90301,f179(f907(f907(x90302,a897),a897)))+P1(f317(f317(f319(f907(x90302,a897)),f519(x90304,x90303,x90302,x90301)),x90301))
% 199.17/199.23 [9145]~P23(x91453,x91451,x91454,f232(f907(x91453,a897)),f232(f907(x91451,a897)))+P1(f317(f28(x91451),x91452))+~P1(f317(f28(x91453),f317(f301(x91453,x91451,x91454),x91452)))
% 199.17/199.23 [9158]P1(f317(f28(x91581),x91582))+~P1(f317(f28(x91584),f317(f300(x91581,x91584,x91583),x91582)))+P1(f317(f317(f319(x91581),f562(x91583,x91584,x91582,x91581)),x91582))
% 199.17/199.23 [9251]~P3(x92512)+E(f317(f317(f58(x92511,x92512,f317(f317(f10(x92512,f907(x92512,x92512),x92511),f92(x92512)),x92513)),f232(x92512)),x92514),f317(f317(f34(x92511,x92512),x92514),x92513))+~P1(f317(f28(x92511),x92514))
% 199.17/199.23 [9252]~P3(x92522)+E(f317(f317(f58(x92521,x92522,f317(f317(f10(x92522,f907(x92522,x92522),x92521),f91(x92522)),x92523)),f179(x92522)),x92524),f317(f317(f35(x92521,x92522),x92524),x92523))+~P1(f317(f28(x92521),x92524))
% 199.17/199.23 [9285]~P1(f317(f317(f276(a901),x92853),x92854))+P1(f317(f317(f276(a901),x92851),x92852))+P1(f317(f317(f225(f907(a901,a897)),f279(a901,f276(a901),x92851,x92852)),f279(a901,f276(a901),x92853,x92854)))
% 199.17/199.23 [9298]~P1(f317(f317(f276(a901),x92982),x92984))+~P1(f317(f317(f276(a901),x92983),x92981))+P1(f317(f317(f224(f907(a901,a897)),f279(a901,f276(a901),x92981,x92982)),f279(a901,f276(a901),x92983,x92984)))
% 199.17/199.23 [9340]P1(f317(x93401,x93402))+~P1(f317(x93401,f317(f317(f154(x93403),x93404),f679(x93402,x93401,x93404,x93403))))+~P1(f317(f317(f319(x93403),x93402),f317(f162(x93403),x93404)))
% 199.17/199.23 [9362]E(x93621,x93622)+~P1(f317(f317(f319(f906(x93623,x93623)),f317(f317(f242(x93623,x93623),x93621),x93622)),f297(x93623,x93624)))+P1(f317(f317(f319(f906(x93623,x93623)),f317(f317(f242(x93623,x93623),x93621),x93622)),f317(f317(f278(x93623,x93623,x93623),x93624),f297(x93623,x93624))))
% 199.17/199.23 [9419]~E(f317(f180(f902(x94191)),x94192),f317(f180(f902(x94191)),x94193))+~P1(f317(f317(f319(f906(f902(x94191),f902(x94191))),f317(f317(f242(f902(x94191),f902(x94191)),x94192),x94193)),f137(x94191,x94194)))+P1(f317(f317(f319(f906(f902(x94191),f902(x94191))),f317(f317(f242(f902(x94191),f902(x94191)),x94192),x94193)),f135(x94191,x94194)))
% 199.17/199.23 [9535]P1(f317(f317(f276(a901),x95351),x95352))+~P1(f317(f317(f276(a901),x95353),x95351))+~P1(f317(f317(f224(f907(a901,a897)),f279(a901,f276(a901),x95353,x95351)),f279(a901,f276(a901),x95354,x95352)))
% 199.17/199.23 [9536]P1(f317(f317(f276(a901),x95361),x95362))+~P1(f317(f317(f276(a901),x95363),x95361))+~P1(f317(f317(f225(f907(a901,a897)),f279(a901,f276(a901),x95363,x95361)),f279(a901,f276(a901),x95364,x95362)))
% 199.17/199.23 [9537]P1(f317(f317(f276(a901),x95371),x95372))+~P1(f317(f317(f276(a901),x95372),x95373))+~P1(f317(f317(f224(f907(a901,a897)),f279(a901,f276(a901),x95372,x95373)),f279(a901,f276(a901),x95371,x95374)))
% 199.17/199.23 [9538]P1(f317(f317(f276(a901),x95381),x95382))+~P1(f317(f317(f276(a901),x95382),x95383))+~P1(f317(f317(f225(f907(a901,a897)),f279(a901,f276(a901),x95382,x95383)),f279(a901,f276(a901),x95381,x95384)))
% 199.17/199.23 [9669]P28(x96691,f317(f317(f20(x96691,a897,a897),f317(f317(f10(a897,f907(a897,a897),x96691),a316),f317(f317(f10(a897,a897,x96691),a312),x96692))),f317(a314,x96693)),x96694)+~P1(f317(x96692,x96693))+~P32(x96691,x96692,f317(f317(f141(x96691),x96693),x96694))
% 199.17/199.23 [9845]~P28(x98451,f317(f317(f20(x98451,a897,a897),f317(f317(f10(a897,f907(a897,a897),x98451),a316),f317(f317(f10(a897,a897,x98451),a312),x98452))),f317(a314,x98453)),x98454)+~P1(f317(x98452,x98453))+P32(x98451,x98452,f317(f317(f141(x98451),x98453),x98454))
% 199.17/199.23 [9849]~P32(x98491,x98492,x98494)+~P28(x98491,f317(f317(f20(x98491,a897,a897),f317(f317(f10(a897,f907(a897,a897),x98491),a316),f317(f317(f10(a897,a897,x98491),a312),x98492))),f317(a314,x98493)),x98494)+P32(x98491,x98492,f317(f317(f141(x98491),x98493),x98494))
% 199.17/199.23 [9887]~P71(x98871)+E(f317(f317(f8(a901,x98871),f317(f317(f20(a901,x98871,x98871),f317(f317(f10(x98871,f907(x98871,x98871),a901),f3(x98871)),x98872)),f317(f317(f10(a901,x98871,a901),x98872),f317(f317(f9(a901,a901,a901),f74(a901)),f72(a901))))),f294(a901,x98873,x98874)),f2(x98871))+P1(f317(f317(f224(a901),x98873),x98874))
% 199.17/199.23 [10109]~P34(x101092,x101094)+~P22(x101092,x101091,x101093,f232(f907(x101092,a897)))+P34(x101091,f317(f300(f906(x101092,x101092),f906(x101091,x101091),f248(x101092,x101091,x101092,x101091,x101093,x101093)),x101094))
% 199.17/199.23 [10324]~E(f317(f180(f902(x103241)),x103243),f317(f180(f902(x103241)),x103242))+P1(f317(f317(f319(f906(f902(x103241),f902(x103241))),f317(f317(f242(f902(x103241),f902(x103241)),x103242),x103243)),f148(x103241,x103244)))+~P1(f317(f317(f247(x103241,x103241,a897),f317(f317(f9(x103241,f907(f906(x103241,x103241),a897),f907(x103241,a897)),f317(f317(f10(f907(x103241,f907(f907(f906(x103241,x103241),a897),a897)),f907(f907(f906(x103241,x103241),a897),f907(x103241,a897)),x103241),f9(x103241,f907(f906(x103241,x103241),a897),a897)),f317(f317(f10(f907(x103241,f906(x103241,x103241)),f907(x103241,f907(f907(f906(x103241,x103241),a897),a897)),x103241),f317(f10(f906(x103241,x103241),f907(f907(f906(x103241,x103241),a897),a897),x103241),f319(f906(x103241,x103241)))),f242(x103241,x103241)))),x103244)),f646(x103244,x103243,x103242,x103241)))
% 199.17/199.23 [6173]~P58(x61731)+~E(x61732,f2(x61731))+E(f317(f317(f30(x61731),f317(f317(f75(x61731),x61732),x61733)),f317(f317(f75(x61731),x61732),x61734)),f2(x61731))
% 199.17/199.23 [6215]E(x62151,f103(x62152))+E(x62153,f317(f317(f3(a901),f317(f180(f902(x62152)),x62151)),f72(a901)))+E(f134(x62152,f317(f317(f149(x62152,x62151),x62153),x62154)),f134(x62152,x62151))
% 199.17/199.23 [6254]E(x62541,x62542)+P1(f317(x62543,x62542))+~P1(f317(f317(f317(f299(x62544),x62541),x62543),x62542))
% 199.17/199.23 [6270]~P72(x62701)+~P1(f317(f127(x62702),x62704))+E(f317(f155(x62701),f317(f317(f144(x62702,x62701),x62703),x62704)),f317(f317(f8(x62702,x62701),x62703),f317(f162(x62702),x62704)))
% 199.17/199.23 [6282]~P79(x62822)+~P1(f317(f28(x62821),x62824))+E(f317(f317(f11(x62821,x62822),f317(f18(x62822,x62821),x62823)),x62824),f317(f317(f234(x62822),x62823),f317(f29(x62821),x62824)))
% 199.17/199.23 [6337]~P61(x63372)+E(x63371,f2(x63372))+E(f317(f317(f280(x63372),f317(f317(f75(x63372),x63373),x63371)),f317(f317(f75(x63372),x63374),x63371)),f317(f317(f280(x63372),x63373),x63374))
% 199.17/199.23 [6338]~P61(x63382)+E(x63381,f2(x63382))+E(f317(f317(f280(x63382),f317(f317(f75(x63382),x63381),x63383)),f317(f317(f75(x63382),x63381),x63384)),f317(f317(f280(x63382),x63383),x63384))
% 199.17/199.23 [6339]~P58(x63392)+E(x63391,f2(x63392))+E(f317(f317(f30(x63392),f317(f317(f75(x63392),x63393),x63391)),f317(f317(f75(x63392),x63394),x63391)),f317(f317(f30(x63392),x63393),x63394))
% 199.17/199.23 [6341]~P58(x63412)+E(x63411,f2(x63412))+E(f317(f317(f30(x63412),f317(f317(f75(x63412),x63411),x63413)),f317(f317(f75(x63412),x63411),x63414)),f317(f317(f30(x63412),x63413),x63414))
% 199.17/199.23 [6409]P1(f317(x64091,x64092))+~E(x64093,f317(f317(f74(a901),x64094),x64092))+~P1(f317(x64091,f317(f317(f3(a901),x64093),x64094)))
% 199.17/199.23 [6493]~P1(f317(x64932,x64933))+~P1(f317(f150(x64931,x64932),x64934))+P1(f317(f150(x64931,x64932),f317(f317(f141(x64931),x64933),x64934)))
% 199.17/199.23 [6534]E(x65341,f103(x65342))+~E(x65343,f317(f317(f3(a901),f317(f180(f902(x65342)),x65341)),f72(a901)))+E(f134(x65342,f317(f317(f149(x65342,x65341),x65343),x65344)),x65344)
% 199.17/199.23 [6556]~P67(x65561)+~P1(f317(f317(f224(x65561),x65562),x65564))+P1(f317(f317(f224(x65561),x65562),f317(f317(f91(x65561),x65563),x65564)))
% 199.17/199.23 [6557]~P67(x65571)+~P1(f317(f317(f224(x65571),x65572),x65573))+P1(f317(f317(f224(x65571),x65572),f317(f317(f91(x65571),x65573),x65574)))
% 199.17/199.23 [6559]~P108(x65591)+~P1(f317(f317(f224(x65591),x65592),x65594))+P1(f317(f317(f224(x65591),x65592),f317(f317(f178(x65591),x65593),x65594)))
% 199.17/199.23 [6561]~P108(x65611)+~P1(f317(f317(f224(x65611),x65612),x65613))+P1(f317(f317(f224(x65611),x65612),f317(f317(f178(x65611),x65613),x65614)))
% 199.17/199.23 [6562]~P67(x65621)+~P1(f317(f317(f225(x65621),x65622),x65624))+P1(f317(f317(f225(x65621),x65622),f317(f317(f91(x65621),x65623),x65624)))
% 199.17/199.23 [6563]~P67(x65631)+~P1(f317(f317(f225(x65631),x65632),x65633))+P1(f317(f317(f225(x65631),x65632),f317(f317(f91(x65631),x65633),x65634)))
% 199.17/199.23 [6565]~P108(x65651)+~P1(f317(f317(f225(x65651),x65652),x65654))+P1(f317(f317(f225(x65651),x65652),f317(f317(f178(x65651),x65653),x65654)))
% 199.17/199.23 [6567]~P108(x65671)+~P1(f317(f317(f225(x65671),x65672),x65673))+P1(f317(f317(f225(x65671),x65672),f317(f317(f178(x65671),x65673),x65674)))
% 199.17/199.23 [6568]~P118(x65681)+~P1(f317(f317(f276(x65681),x65682),x65684))+P1(f317(f317(f276(x65681),x65682),f317(f317(f75(x65681),x65683),x65684)))
% 199.17/199.23 [6569]~P118(x65691)+~P1(f317(f317(f276(x65691),x65692),x65693))+P1(f317(f317(f276(x65691),x65692),f317(f317(f75(x65691),x65693),x65694)))
% 199.17/199.23 [6660]~E(f317(f317(f154(x66601),x66602),x66603),x66604)+E(f317(f317(f149(x66601,x66602),x66603),x66604),x66602)+~P1(f317(f317(f225(a901),x66603),f317(f180(f902(x66601)),x66602)))
% 199.17/199.23 [6700]P1(f317(x67001,x67002))+~P1(f317(x67003,x67002))+~P1(f317(f317(f224(f907(x67004,a897)),x67003),x67001))
% 199.17/199.23 [6735]~E(f317(f317(f149(x67351,x67352),x67353),x67354),x67352)+E(f317(f317(f154(x67351),x67352),x67353),x67354)+~P1(f317(f317(f225(a901),x67353),f317(f180(f902(x67351)),x67352)))
% 199.17/199.23 [6749]~P1(f317(f150(x67491,x67492),x67494))+~P1(f317(f150(x67491,x67492),x67493))+P1(f317(f150(x67491,x67492),f317(f317(f124(x67491),x67493),x67494)))
% 199.17/199.23 [6858]E(x68581,f179(f907(x68582,a897)))+E(x68583,f179(f907(x68584,a897)))+~E(f317(f317(f244(x68584,x68582),x68583),f317(f18(f907(x68582,a897),x68584),x68581)),f179(f907(f906(x68584,x68582),a897)))
% 199.17/199.23 [6873]E(x68731,x68732)+P1(f317(f317(f319(x68733),x68731),x68734))+~P1(f317(f317(f319(x68733),x68731),f317(f317(f299(x68733),x68732),x68734)))
% 199.17/199.23 [6890]~P108(x68901)+P1(f317(f317(f224(x68901),x68902),x68903))+~P1(f317(f317(f224(x68901),x68902),f317(f317(f228(x68901),x68904),x68903)))
% 199.17/199.23 [6892]~P108(x68921)+P1(f317(f317(f224(x68921),x68922),x68923))+~P1(f317(f317(f224(x68921),x68922),f317(f317(f228(x68921),x68923),x68924)))
% 199.17/199.23 [6894]~P103(x68941)+P1(f317(f317(f224(x68941),x68942),x68943))+~P1(f317(f317(f224(x68941),x68942),f317(f317(f92(x68941),x68944),x68943)))
% 199.17/199.23 [6896]~P103(x68961)+P1(f317(f317(f224(x68961),x68962),x68963))+~P1(f317(f317(f224(x68961),x68962),f317(f317(f92(x68961),x68963),x68964)))
% 199.17/199.23 [6897]~P108(x68971)+P1(f317(f317(f225(x68971),x68972),x68973))+~P1(f317(f317(f225(x68971),x68972),f317(f317(f228(x68971),x68974),x68973)))
% 199.17/199.23 [6898]~P108(x68981)+P1(f317(f317(f225(x68981),x68982),x68983))+~P1(f317(f317(f225(x68981),x68982),f317(f317(f228(x68981),x68983),x68984)))
% 199.17/199.23 [6918]~E(f317(f317(f154(x69181),x69183),x69184),x69182)+P1(f317(f317(f319(x69181),x69182),f317(f162(x69181),x69183)))+~P1(f317(f317(f225(a901),x69184),f317(f180(f902(x69181)),x69183)))
% 199.17/199.23 [6927]~P108(x69271)+~P11(x69271,f317(f317(f141(x69271),x69272),f317(f317(f141(x69271),x69273),x69274)))+P1(f317(f317(f224(x69271),x69272),x69273))
% 199.17/199.23 [7076]~P28(x70762,x70761,x70763)+P1(f317(x70761,f317(f317(f154(x70762),x70763),x70764)))+~P1(f317(f317(f225(a901),x70764),f317(f180(f902(x70762)),x70763)))
% 199.17/199.23 [7094]E(x70941,f2(a1))+E(f317(f317(f30(a1),x70942),x70941),x70943)+~P1(f317(f44(x70942,x70941),f317(f317(f242(a1,a1),x70943),x70944)))
% 199.17/199.23 [7116]E(f40(a1,x71162,x71161),x71163)+E(x71161,f2(a1))+~P1(f317(f44(x71162,x71161),f317(f317(f242(a1,a1),x71164),x71163)))
% 199.17/199.23 [7234]P1(f317(f317(f319(x72341),x72342),x72343))+~P1(f317(f317(f319(x72341),x72342),x72344))+~P1(f317(f317(f225(f907(x72341,a897)),x72344),x72343))
% 199.17/199.23 [7235]P1(f317(f317(f319(x72351),x72352),x72353))+~P1(f317(f317(f319(x72351),x72352),x72354))+~P1(f317(f317(f224(f907(x72351,a897)),x72354),x72353))
% 199.17/199.23 [7246]~P120(x72461)+~E(x72463,f2(x72461))+P1(f317(f317(f276(x72461),f317(f317(f75(x72461),x72462),x72463)),f317(f317(f75(x72461),x72464),x72463)))
% 199.17/199.23 [7247]~P120(x72471)+~E(x72472,f2(x72471))+P1(f317(f317(f276(x72471),f317(f317(f75(x72471),x72472),x72473)),f317(f317(f75(x72471),x72472),x72474)))
% 199.17/199.23 [7347]P30(x73471,x73472,x73473)+~P1(f317(x73472,f317(f317(f154(x73471),x73473),x73474)))+~P1(f317(f317(f225(a901),x73474),f317(f180(f902(x73471)),x73473)))
% 199.17/199.23 [7453]~P107(x74532)+~P1(f317(f317(f225(f907(x74531,x74532)),x74533),x74534))+P1(f317(f317(f224(f907(x74531,x74532)),x74533),x74534))
% 199.17/199.23 [7576]~P1(f317(f317(f319(x75761),x75762),x75764))+P1(f317(f317(f319(x75761),x75762),f31(f907(x75761,a897),x75763)))+~P1(f317(f317(f319(f907(x75761,a897)),x75764),x75763))
% 199.17/199.23 [7578]~P118(x75781)+~P1(f317(f317(f224(a901),x75783),x75784))+P1(f317(f317(f276(x75781),f317(f317(f234(x75781),x75782),x75783)),f317(f317(f234(x75781),x75782),x75784)))
% 199.17/199.23 [7606]~P86(x76061)+~P1(f317(f317(f224(x76061),x76063),x76064))+P1(f317(f317(f224(x76061),f317(f317(f74(x76061),x76062),x76063)),f317(f317(f74(x76061),x76062),x76064)))
% 199.17/199.23 [7607]~P87(x76071)+~P1(f317(f317(f224(x76071),x76073),x76074))+P1(f317(f317(f224(x76071),f317(f317(f74(x76071),x76072),x76073)),f317(f317(f74(x76071),x76072),x76074)))
% 199.17/199.23 [7608]~P86(x76081)+~P1(f317(f317(f224(x76081),x76082),x76084))+P1(f317(f317(f224(x76081),f317(f317(f74(x76081),x76082),x76083)),f317(f317(f74(x76081),x76084),x76083)))
% 199.17/199.23 [7609]~P87(x76091)+~P1(f317(f317(f224(x76091),x76092),x76094))+P1(f317(f317(f224(x76091),f317(f317(f74(x76091),x76092),x76093)),f317(f317(f74(x76091),x76094),x76093)))
% 199.17/199.23 [7610]~P86(x76101)+~P1(f317(f317(f225(x76101),x76103),x76104))+P1(f317(f317(f225(x76101),f317(f317(f74(x76101),x76102),x76103)),f317(f317(f74(x76101),x76102),x76104)))
% 199.17/199.23 [7611]~P91(x76111)+~P1(f317(f317(f225(x76111),x76113),x76114))+P1(f317(f317(f225(x76111),f317(f317(f74(x76111),x76112),x76113)),f317(f317(f74(x76111),x76112),x76114)))
% 199.17/199.23 [7612]~P86(x76121)+~P1(f317(f317(f225(x76121),x76122),x76124))+P1(f317(f317(f225(x76121),f317(f317(f74(x76121),x76122),x76123)),f317(f317(f74(x76121),x76124),x76123)))
% 199.17/199.23 [7613]~P91(x76131)+~P1(f317(f317(f225(x76131),x76132),x76134))+P1(f317(f317(f225(x76131),f317(f317(f74(x76131),x76132),x76133)),f317(f317(f74(x76131),x76134),x76133)))
% 199.17/199.23 [7614]~P120(x76141)+~P1(f317(f317(f276(x76141),x76143),x76144))+P1(f317(f317(f276(x76141),f317(f317(f75(x76141),x76142),x76143)),f317(f317(f75(x76141),x76142),x76144)))
% 199.17/199.23 [7615]~P120(x76151)+~P1(f317(f317(f276(x76151),x76152),x76154))+P1(f317(f317(f276(x76151),f317(f317(f75(x76151),x76152),x76153)),f317(f317(f75(x76151),x76154),x76153)))
% 199.17/199.23 [7616]~P118(x76161)+~P1(f317(f317(f276(x76161),x76162),x76164))+P1(f317(f317(f276(x76161),f317(f317(f234(x76161),x76162),x76163)),f317(f317(f234(x76161),x76164),x76163)))
% 199.17/199.23 [7623]~P110(x76231)+~P98(x76231)+E(f317(f317(f3(x76231),f317(f317(f75(x76231),x76232),f317(f94(x76231),x76233))),f317(f317(f75(x76231),x76234),f317(f94(x76231),x76233))),f317(f317(f75(x76231),f317(f317(f3(x76231),x76232),x76234)),f317(f94(x76231),x76233)))
% 199.17/199.23 [7624]~P139(x76241)+~P98(x76241)+E(f317(f317(f74(x76241),f317(f317(f75(x76241),x76242),f317(f94(x76241),x76243))),f317(f317(f75(x76241),x76244),f317(f94(x76241),x76243))),f317(f317(f75(x76241),f317(f317(f74(x76241),x76242),x76244)),f317(f94(x76241),x76243)))
% 199.17/199.23 [7660]~P72(x76601)+E(f317(f317(f74(x76601),f317(x76602,x76603)),f317(f317(f8(a901,x76601),x76602),f294(a901,f317(a102,x76603),x76604))),f317(f317(f8(a901,x76601),x76602),f294(a901,x76603,x76604)))+~P1(f317(f317(f224(a901),x76603),x76604))
% 199.17/199.23 [7671]~P22(x76712,x76711,x76713,f317(f162(x76712),x76714))+~P1(f317(f127(x76712),x76714))+P1(f317(f127(x76711),f317(f317(f144(x76712,x76711),x76713),x76714)))
% 199.17/199.23 [7718]~P1(f317(f317(f224(a901),x77182),x77184))+~P1(f317(f317(f224(a901),x77181),x77183))+P1(f317(f317(f224(a901),f317(f317(f74(a901),x77181),x77182)),f317(f317(f74(a901),x77183),x77184)))
% 199.17/199.23 [7719]~P1(f317(f317(f224(a901),x77192),x77194))+~P1(f317(f317(f224(a901),x77191),x77193))+P1(f317(f317(f224(a901),f317(f317(f75(a901),x77191),x77192)),f317(f317(f75(a901),x77193),x77194)))
% 199.17/199.23 [7722]~P1(f317(f317(f225(a901),x77222),x77224))+~P1(f317(f317(f225(a901),x77221),x77223))+P1(f317(f317(f225(a901),f317(f317(f74(a901),x77221),x77222)),f317(f317(f74(a901),x77223),x77224)))
% 199.17/199.23 [7723]~P1(f317(f317(f224(a1),x77232),x77234))+~P1(f317(f317(f225(a1),x77231),x77233))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x77231),x77232)),f317(f317(f74(a1),x77233),x77234)))
% 199.17/199.23 [7771]P1(f317(f317(f319(x77711),x77712),x77713))+~P1(f317(f317(f319(x77711),x77712),f32(f907(x77711,a897),x77714)))+~P1(f317(f317(f319(f907(x77711,a897)),x77713),x77714))
% 199.17/199.23 [7788]~P1(f317(x77881,f641(x77881,x77883,x77882)))+P1(f317(x77881,f317(f317(f154(x77882),x77883),x77884)))+~P1(f317(f317(f225(a901),x77884),f317(f180(f902(x77882)),x77883)))
% 199.17/199.23 [7793]P1(f317(x77931,x77932))+~P1(f317(f317(f319(x77934),x77932),f317(f162(x77934),x77933)))+P1(f317(f317(f225(a901),f643(x77931,x77933,x77934)),f317(f180(f902(x77934)),x77933)))
% 199.17/199.23 [7839]~P107(x78391)+~P1(f317(f317(f225(f907(x78392,x78391)),x78394),x78393))+~P1(f317(f317(f224(f907(x78392,x78391)),x78393),x78394))
% 199.17/199.23 [7887]~P1(f317(x78874,x78872))+~P1(f317(f317(f319(x78871),x78872),x78873))+P1(f317(f317(f319(x78871),x78872),f317(f317(f92(f907(x78871,a897)),x78873),f317(f252(x78871),x78874))))
% 199.17/199.23 [8030]~P1(f317(f317(f319(x80301),x80303),x80304))+~P1(f317(f317(f225(f907(x80301,a897)),x80302),x80304))+P1(f317(f317(f225(f907(x80301,a897)),x80302),f317(f317(f299(x80301),x80303),x80304)))
% 199.17/199.23 [8032]E(f317(f317(f92(f907(x80321,a897)),x80322),x80323),f179(f907(x80321,a897)))+~E(f317(f317(f92(f907(x80321,a897)),f31(f907(x80321,a897),x80324)),x80323),f179(f907(x80321,a897)))+~P1(f317(f317(f319(f907(x80321,a897)),x80322),x80324))
% 199.17/199.23 [8099]P1(f317(f317(f319(x80991),x80992),x80993))+~P1(f317(f317(f224(f907(x80991,a897)),x80993),f317(f317(f299(x80991),x80992),x80994)))+P1(f317(f317(f224(f907(x80991,a897)),x80993),x80994))
% 199.17/199.23 [8116]P1(f317(f317(f319(x81162),f641(x81161,x81163,x81162)),f317(f162(x81162),x81163)))+P1(f317(x81161,f317(f317(f154(x81162),x81163),x81164)))+~P1(f317(f317(f225(a901),x81164),f317(f180(f902(x81162)),x81163)))
% 199.17/199.23 [8124]~P1(f317(f317(f224(f907(x81241,a897)),x81242),x81244))+P1(f317(f317(f224(f907(x81241,a897)),x81242),x81243))+~P1(f317(f317(f224(f907(x81241,a897)),x81244),x81243))
% 199.17/199.23 [8125]~P1(f317(f317(f225(f907(x81251,a897)),x81252),x81254))+~P1(f317(f317(f224(f907(x81251,a897)),x81254),x81253))+P1(f317(f317(f225(f907(x81251,a897)),x81252),x81253))
% 199.17/199.23 [8126]~P1(f317(f317(f224(f907(x81261,a897)),x81262),x81264))+~P1(f317(f317(f225(f907(x81261,a897)),x81264),x81263))+P1(f317(f317(f225(f907(x81261,a897)),x81262),x81263))
% 199.17/199.23 [8127]~P1(f317(f317(f225(f907(x81271,a897)),x81272),x81274))+P1(f317(f317(f225(f907(x81271,a897)),x81272),x81273))+~P1(f317(f317(f225(f907(x81271,a897)),x81274),x81273))
% 199.17/199.23 [8176]~P1(f317(f317(f319(x81761),x81764),x81763))+~P1(f317(f317(f225(f907(x81761,a897)),x81762),f317(f317(f299(x81761),x81764),x81763)))+P1(f317(f317(f225(f907(x81761,a897)),x81762),x81763))
% 199.17/199.23 [8185]~P86(x81851)+P1(f317(f317(f224(x81851),x81852),x81853))+~P1(f317(f317(f224(x81851),f317(f317(f74(x81851),x81854),x81852)),f317(f317(f74(x81851),x81854),x81853)))
% 199.17/199.23 [8187]~P86(x81871)+P1(f317(f317(f224(x81871),x81872),x81873))+~P1(f317(f317(f224(x81871),f317(f317(f74(x81871),x81872),x81874)),f317(f317(f74(x81871),x81873),x81874)))
% 199.17/199.23 [8189]~P86(x81891)+P1(f317(f317(f225(x81891),x81892),x81893))+~P1(f317(f317(f225(x81891),f317(f317(f74(x81891),x81894),x81892)),f317(f317(f74(x81891),x81894),x81893)))
% 199.17/199.23 [8191]~P86(x81911)+P1(f317(f317(f225(x81911),x81912),x81913))+~P1(f317(f317(f225(x81911),f317(f317(f74(x81911),x81912),x81914)),f317(f317(f74(x81911),x81913),x81914)))
% 199.17/199.23 [8244]P1(f317(x82441,x82442))+~E(f317(f317(f128(x82443),f317(f180(f902(x82443)),f167(x82443,x82441,x82444))),x82444),f103(x82443))+~P1(f317(f317(f319(x82443),x82442),f317(f162(x82443),x82444)))
% 199.17/199.23 [8361]P1(f317(x83611,x83612))+~P1(f317(f317(f319(x83613),x83612),f317(f162(x83613),x83614)))+P1(f317(f317(f225(a901),f317(f180(f902(x83613)),f317(f126(x83613,x83611),x83614))),f317(f180(f902(x83613)),x83614)))
% 199.17/199.23 [8839]~P1(f317(x88391,f734(x88391,x88393,x88392,x88394)))+P1(f317(x88391,f317(f317(f154(x88392),x88393),x88394)))+~P1(f317(f317(f225(a901),x88394),f317(f180(f902(x88392)),x88393)))
% 199.17/199.23 [8857]~P22(x88574,x88573,x88571,f232(f907(x88574,a897)))+E(f317(x88571,f508(x88572,x88571,x88573,x88574)),x88572)+~P1(f317(f317(f319(x88573),x88572),f317(f300(x88574,x88573,x88571),f232(f907(x88574,a897)))))
% 199.17/199.23 [8932]E(f167(x89321,x89322,x89323),f317(f317(f165(x89321),x89324),x89323))+P1(f317(f317(f225(a901),f705(x89322,x89323,x89321,x89324)),x89324))+P1(f317(f317(f225(a901),x89324),f317(f180(f902(x89321)),x89323)))
% 199.17/199.23 [8935]E(f167(x89351,x89352,x89353),f317(f317(f165(x89351),x89354),x89353))+P1(f317(f317(f225(a901),f705(x89352,x89353,x89351,x89354)),x89354))+P1(f317(x89352,f317(f317(f154(x89351),x89353),x89354)))
% 199.17/199.23 [8972]P1(f317(x89721,x89722))+~P1(f317(f317(f319(x89724),x89722),f317(f162(x89724),x89723)))+P1(f317(f317(f225(a901),f679(x89722,x89721,x89723,x89724)),f317(f180(f902(x89724)),x89723)))
% 199.17/199.23 [8974]E(f167(x89741,x89742,x89743),f317(f317(f165(x89741),x89744),x89743))+P1(f317(f317(f225(a901),x89744),f317(f180(f902(x89741)),x89743)))+P1(f317(f317(f225(a901),f705(x89742,x89743,x89741,x89744)),f317(f180(f902(x89741)),x89743)))
% 199.17/199.23 [8980]E(f167(x89801,x89802,x89803),f317(f317(f165(x89801),x89804),x89803))+P1(f317(x89802,f317(f317(f154(x89801),x89803),x89804)))+P1(f317(f317(f225(a901),f705(x89802,x89803,x89801,x89804)),f317(f180(f902(x89801)),x89803)))
% 199.17/199.23 [9006]~P126(x90064)+P1(f317(f317(f319(x90061),f369(x90062,x90063,x90061,x90064)),x90063))+P1(f317(f317(f225(x90064),f2(x90064)),f317(f317(f11(x90061,x90064),x90062),x90063)))
% 199.17/199.23 [9007]~P126(x90074)+P1(f317(f317(f319(x90071),f441(x90072,x90073,x90071,x90074)),x90073))+P1(f317(f317(f224(x90074),f2(x90074)),f317(f317(f11(x90071,x90074),x90072),x90073)))
% 199.17/199.23 [9032]~P1(f317(f28(x90321),x90324))+P1(f317(f317(f319(x90321),f536(x90322,x90323,x90324,x90321)),x90324))+P1(f317(f28(f906(x90321,x90323)),f317(f317(f244(x90321,x90323),x90324),x90322)))
% 199.17/199.23 [9064]P1(f317(f317(f319(x90642),f734(x90641,x90643,x90642,x90644)),f317(f162(x90642),x90643)))+P1(f317(x90641,f317(f317(f154(x90642),x90643),x90644)))+~P1(f317(f317(f225(a901),x90644),f317(f180(f902(x90642)),x90643)))
% 199.17/199.23 [9182]P1(f317(f317(f224(a901),x91824),f317(f180(f902(x91822)),f167(x91822,x91823,x91821))))+P1(f317(f317(f225(a901),f706(x91821,x91822,x91823,x91824)),x91824))+~P1(f317(f317(f224(a901),x91824),f317(f180(f902(x91822)),x91821)))
% 199.17/199.23 [9344]E(f167(x93441,x93442,x93443),f317(f317(f165(x93441),x93444),x93443))+~P1(f317(x93442,f317(f317(f154(x93441),x93443),f705(x93442,x93443,x93441,x93444))))+P1(f317(f317(f225(a901),x93444),f317(f180(f902(x93441)),x93443)))
% 199.17/199.23 [9352]E(f167(x93521,x93522,x93523),f317(f317(f165(x93521),x93524),x93523))+~P1(f317(x93522,f317(f317(f154(x93521),x93523),f705(x93522,x93523,x93521,x93524))))+P1(f317(x93522,f317(f317(f154(x93521),x93523),x93524)))
% 199.17/199.23 [9356]~P1(f317(f28(x93561),x93563))+~P1(f317(f28(x93562),f317(x93564,f536(x93564,x93562,x93563,x93561))))+P1(f317(f28(f906(x93561,x93562)),f317(f317(f244(x93561,x93562),x93563),x93564)))
% 199.17/199.23 [9364]~P126(x93641)+~P1(f317(f317(f224(x93641),f2(x93641)),f317(x93643,f441(x93643,x93644,x93642,x93641))))+P1(f317(f317(f224(x93641),f2(x93641)),f317(f317(f11(x93642,x93641),x93643),x93644)))
% 199.17/199.23 [9365]~P126(x93651)+~P1(f317(f317(f225(x93651),f2(x93651)),f317(x93653,f369(x93653,x93654,x93652,x93651))))+P1(f317(f317(f225(x93651),f2(x93651)),f317(f317(f11(x93652,x93651),x93653),x93654)))
% 199.17/199.23 [9373]~E(f317(f180(f902(x93734)),x93732),f317(f180(f902(x93734)),x93733))+P1(f317(f317(f319(f906(f902(x93734),f902(x93734))),f317(f317(f242(f902(x93734),f902(x93734)),x93733),x93732)),f148(x93734,x93731)))+P1(f317(f317(f225(a901),f630(x93731,x93732,x93733,x93734)),f317(f180(f902(x93734)),x93733)))
% 199.17/199.23 [9428]~P1(f317(x94283,f317(f317(f154(x94282),x94284),f706(x94284,x94282,x94283,x94281))))+P1(f317(f317(f224(a901),x94281),f317(f180(f902(x94282)),f167(x94282,x94283,x94284))))+~P1(f317(f317(f224(a901),x94281),f317(f180(f902(x94282)),x94284)))
% 199.17/199.23 [9513]E(f317(f317(f165(x95131),f642(x95132,x95133,x95134,x95131)),x95133),f317(f317(f165(x95131),f642(x95132,x95133,x95134,x95131)),x95134))+~P1(f317(f317(f319(f906(f902(x95131),f902(x95131))),f317(f317(f242(f902(x95131),f902(x95131)),x95134),x95133)),f137(x95131,x95132)))+P1(f317(f317(f225(a901),f317(f180(f902(x95131)),x95134)),f317(f180(f902(x95131)),x95133)))
% 199.17/199.23 [9571]~P1(f317(f317(f225(a901),f2(a901)),x95713))+~P1(f317(f317(f225(a901),x95714),x95711))+P1(f317(f317(f225(a901),f317(f317(f74(a901),f317(f317(f75(a901),x95711),f40(a901,x95712,x95713))),x95714)),f317(f317(f75(a901),x95711),x95713)))
% 199.17/199.23 [9787]~P107(x97872)+~P1(f317(f317(f224(x97872),f317(x97873,f769(x97874,x97873,x97871,x97872))),f317(x97874,f769(x97874,x97873,x97871,x97872))))+P1(f317(f317(f224(f907(x97871,x97872)),x97873),x97874))
% 199.17/199.23 [9892]~P71(x98921)+E(f317(f317(f8(a901,x98921),f317(f317(f20(a901,x98921,x98921),f317(f317(f10(x98921,f907(x98921,x98921),a901),f3(x98921)),x98922)),f317(f317(f10(a901,x98921,a901),x98922),f317(f317(f9(a901,a901,a901),f74(a901)),f72(a901))))),f294(a901,x98923,x98924)),f317(f317(f3(x98921),f317(x98922,x98923)),f317(x98922,f317(f317(f74(a901),x98924),f72(a901)))))+~P1(f317(f317(f224(a901),x98923),x98924))
% 199.17/199.23 [9974]~P34(x99743,f317(f317(f278(x99743,x99743,x99743),x99742),f297(x99743,x99742)))+~P1(f317(f317(f319(f906(x99743,x99743)),f317(f317(f242(x99743,x99743),f317(x99741,f317(a102,f818(x99742,x99741,x99743)))),f317(x99741,f818(x99742,x99741,x99743)))),f297(x99743,x99742)))+E(f317(x99741,f317(f317(f74(a901),f817(x99742,x99741,x99743)),x99744)),f317(x99741,f817(x99742,x99741,x99743)))
% 199.17/199.23 [6841]~P58(x68411)+E(f317(f317(f30(x68411),f317(f317(f75(x68411),x68412),x68413)),x68414),f317(f317(f75(x68411),x68412),f317(f317(f30(x68411),x68413),x68414)))+~P1(f317(f317(f276(x68411),x68414),x68413))
% 199.17/199.23 [6921]E(f317(f317(f124(x69211),x69212),x69213),x69214)+~E(x69213,f317(f317(f128(x69211),f317(f180(f902(x69211)),x69212)),x69214))+~E(f317(f317(f165(x69211),f317(f180(f902(x69211)),x69212)),x69214),x69212)
% 199.17/199.23 [6976]~P62(x69762)+E(x69761,f2(x69762))+E(f317(f317(f280(x69762),f317(f317(f234(x69762),x69763),x69764)),f317(f317(f234(x69762),x69761),x69764)),f317(f317(f234(x69762),f317(f317(f280(x69762),x69763),x69761)),x69764))
% 199.17/199.23 [7124]~P58(x71241)+E(f317(f317(f30(x71241),f317(f317(f75(x71241),x71242),x71243)),x71244),f317(f317(f75(x71241),f317(f317(f30(x71241),x71242),x71244)),x71243))+~P1(f317(f317(f276(x71241),x71244),x71242))
% 199.17/199.23 [7133]~P108(x71331)+~P1(f317(f317(f224(x71331),x71333),x71334))+P1(f317(f317(f224(x71331),f317(f317(f228(x71331),x71332),x71333)),x71334))
% 199.17/199.23 [7135]~P108(x71351)+~P1(f317(f317(f224(x71351),x71352),x71354))+P1(f317(f317(f224(x71351),f317(f317(f228(x71351),x71352),x71353)),x71354))
% 199.17/199.23 [7136]~P103(x71361)+~P1(f317(f317(f224(x71361),x71363),x71364))+P1(f317(f317(f224(x71361),f317(f317(f92(x71361),x71362),x71363)),x71364))
% 199.17/199.23 [7137]~P103(x71371)+~P1(f317(f317(f224(x71371),x71372),x71374))+P1(f317(f317(f224(x71371),f317(f317(f92(x71371),x71372),x71373)),x71374))
% 199.17/199.23 [7139]~P108(x71391)+~P1(f317(f317(f225(x71391),x71393),x71394))+P1(f317(f317(f225(x71391),f317(f317(f228(x71391),x71392),x71393)),x71394))
% 199.17/199.23 [7141]~P108(x71411)+~P1(f317(f317(f225(x71411),x71412),x71414))+P1(f317(f317(f225(x71411),f317(f317(f228(x71411),x71412),x71413)),x71414))
% 199.17/199.23 [7142]~P103(x71421)+~P1(f317(f317(f225(x71421),x71423),x71424))+P1(f317(f317(f225(x71421),f317(f317(f92(x71421),x71422),x71423)),x71424))
% 199.17/199.23 [7143]~P103(x71431)+~P1(f317(f317(f225(x71431),x71432),x71434))+P1(f317(f317(f225(x71431),f317(f317(f92(x71431),x71432),x71433)),x71434))
% 199.17/199.23 [7166]~P1(f317(x71663,x71664))+~P1(f317(x71662,x71664))+P1(f317(f317(f317(f92(f907(x71661,a897)),x71662),x71663),x71664))
% 199.17/199.23 [7424]~P58(x74241)+E(f317(f317(f30(x74241),f317(f317(f234(x74241),x74242),x74243)),f317(f317(f234(x74241),x74244),x74243)),f317(f317(f234(x74241),f317(f317(f30(x74241),x74242),x74244)),x74243))+~P1(f317(f317(f276(x74241),x74244),x74242))
% 199.17/199.23 [7650]~P72(x76501)+E(f317(f317(f74(x76501),f317(x76502,x76503)),f317(f317(f8(a901,x76501),x76502),f317(f293(a901,f317(a102,x76503)),x76504))),f317(f317(f8(a901,x76501),x76502),f317(f293(a901,x76503),x76504)))+~P1(f317(f317(f225(a901),x76503),x76504))
% 199.17/199.23 [7668]E(x76681,x76682)+P1(f317(f317(f162(x76683),x76684),x76682))+~P1(f317(f317(f162(x76683),f317(f317(f141(x76683),x76681),x76684)),x76682))
% 199.17/199.23 [7679]~P108(x76791)+P1(f317(f317(f224(x76791),x76792),x76793))+~P1(f317(f317(f224(x76791),f317(f317(f178(x76791),x76794),x76792)),x76793))
% 199.17/199.23 [7681]~P108(x76811)+P1(f317(f317(f224(x76811),x76812),x76813))+~P1(f317(f317(f224(x76811),f317(f317(f178(x76811),x76812),x76814)),x76813))
% 199.17/199.23 [7683]~P67(x76831)+P1(f317(f317(f224(x76831),x76832),x76833))+~P1(f317(f317(f224(x76831),f317(f317(f91(x76831),x76834),x76832)),x76833))
% 199.17/199.23 [7685]~P67(x76851)+P1(f317(f317(f224(x76851),x76852),x76853))+~P1(f317(f317(f224(x76851),f317(f317(f91(x76851),x76852),x76854)),x76853))
% 199.17/199.23 [7686]~P108(x76861)+P1(f317(f317(f225(x76861),x76862),x76863))+~P1(f317(f317(f225(x76861),f317(f317(f178(x76861),x76864),x76862)),x76863))
% 199.17/199.23 [7687]~P108(x76871)+P1(f317(f317(f225(x76871),x76872),x76873))+~P1(f317(f317(f225(x76871),f317(f317(f178(x76871),x76872),x76874)),x76873))
% 199.17/199.23 [7688]~P118(x76881)+P1(f317(f317(f276(x76881),x76882),x76883))+~P1(f317(f317(f276(x76881),f317(f317(f75(x76881),x76884),x76882)),x76883))
% 199.17/199.23 [7689]~P118(x76891)+P1(f317(f317(f276(x76891),x76892),x76893))+~P1(f317(f317(f276(x76891),f317(f317(f75(x76891),x76892),x76894)),x76893))
% 199.17/199.23 [7763]~P1(f317(f317(f319(x77631),x77632),x77634))+P1(f317(f317(f319(x77631),x77632),x77633))+P1(f317(f317(f319(x77631),x77632),f317(f317(f3(f907(x77631,a897)),x77634),x77633)))
% 199.17/199.23 [7846]P1(f317(x78461,x78462))+P1(f317(x78463,x78462))+~P1(f317(f317(f317(f91(f907(x78464,a897)),x78463),x78461),x78462))
% 199.17/199.23 [7858]~P1(f317(f317(f319(x78581),x78582),x78584))+~P1(f317(f317(f319(x78581),x78582),x78583))+P1(f317(f317(f319(x78581),x78582),f317(f317(f92(f907(x78581,a897)),x78583),x78584)))
% 199.17/199.23 [7909]~P67(x79091)+~P1(f317(f28(x79091),x79094))+E(f317(f317(f58(x79091,x79091,f91(x79091)),x79092),f317(f317(f299(x79091),x79093),x79094)),f317(f317(f91(x79091),x79093),f317(f317(f58(x79091,x79091,f91(x79091)),x79092),x79094)))
% 199.17/199.23 [7910]~P108(x79101)+~P1(f317(f28(x79101),x79104))+E(f317(f317(f58(x79101,x79101,f228(x79101)),x79102),f317(f317(f299(x79101),x79103),x79104)),f317(f317(f228(x79101),x79103),f317(f317(f58(x79101,x79101,f228(x79101)),x79102),x79104)))
% 199.17/199.23 [7911]~P108(x79111)+~P1(f317(f28(x79111),x79114))+E(f317(f317(f58(x79111,x79111,f178(x79111)),x79112),f317(f317(f299(x79111),x79113),x79114)),f317(f317(f178(x79111),x79113),f317(f317(f58(x79111,x79111,f178(x79111)),x79112),x79114)))
% 199.17/199.23 [7912]~P103(x79121)+~P1(f317(f28(x79121),x79124))+E(f317(f317(f58(x79121,x79121,f92(x79121)),x79122),f317(f317(f299(x79121),x79123),x79124)),f317(f317(f92(x79121),x79123),f317(f317(f58(x79121,x79121,f92(x79121)),x79122),x79124)))
% 199.17/199.23 [7914]~P110(x79141)+~P98(x79141)+E(f317(f317(f3(x79141),f317(f317(f75(x79141),f317(f94(x79141),x79142)),x79143)),f317(f317(f75(x79141),f317(f94(x79141),x79142)),x79144)),f317(f317(f75(x79141),f317(f94(x79141),x79142)),f317(f317(f3(x79141),x79143),x79144)))
% 199.17/199.23 [7915]~P139(x79151)+~P98(x79151)+E(f317(f317(f74(x79151),f317(f317(f75(x79151),f317(f94(x79151),x79152)),x79153)),f317(f317(f75(x79151),f317(f94(x79151),x79152)),x79154)),f317(f317(f75(x79151),f317(f94(x79151),x79152)),f317(f317(f74(x79151),x79153),x79154)))
% 199.17/199.23 [8028]E(x80281,x80282)+P1(f317(f317(f319(x80283),x80281),f317(f162(x80283),x80284)))+~P1(f317(f317(f319(x80283),x80281),f317(f162(x80283),f317(f317(f141(x80283),x80282),x80284))))
% 199.17/199.23 [8196]P52(x81961,x81962,x81963)+~P52(x81961,x81962,x81964)+~P1(f317(f317(f224(f907(f906(x81961,x81962),a897)),x81963),x81964))
% 199.17/199.23 [8246]P1(f317(f317(f319(x82461),x82462),x82463))+P1(f317(f317(f319(x82461),x82462),x82464))+~P1(f317(f317(f319(x82461),x82462),f317(f317(f91(f907(x82461,a897)),x82464),x82463)))
% 199.17/199.23 [8256]~P50(x82561,x82564,x82563)+~P1(f317(f317(f319(x82561),x82562),x82564))+P1(f317(f317(f319(f906(x82561,x82561)),f317(f317(f242(x82561,x82561),x82562),x82562)),x82563))
% 199.17/199.23 [8268]~P1(f317(f28(x82682),x82684))+~P1(f317(f28(x82681),x82683))+P1(f317(f28(f906(x82681,x82682)),f317(f317(f244(x82681,x82682),x82683),f317(f18(f907(x82682,a897),x82681),x82684))))
% 199.17/199.23 [8269]~P1(f317(f317(f319(x82691),x82692),x82694))+~P1(f317(f317(f224(f907(x82691,a897)),x82693),x82694))+P1(f317(f317(f224(f907(x82691,a897)),f317(f317(f299(x82691),x82692),x82693)),x82694))
% 199.17/199.23 [8276]~P79(x82762)+~P146(x82762)+E(f317(f317(f11(x82761,x82762),f317(f317(f10(a901,x82762,x82761),f90(x82762)),x82763)),x82764),f317(f90(x82762),f317(f317(f11(x82761,a901),x82763),x82764)))
% 199.17/199.23 [8277]~P79(x82772)+~P141(x82772)+E(f317(f317(f11(x82771,x82772),f317(f317(f10(a1,x82772,x82771),f93(x82772)),x82773)),x82774),f317(f93(x82772),f317(f317(f11(x82771,a1),x82773),x82774)))
% 199.17/199.23 [8302]E(f317(f317(f3(f907(x83021,a897)),x83022),f317(f317(f3(f907(x83021,a897)),x83023),x83024)),x83024)+~P1(f317(f317(f224(f907(x83021,a897)),x83022),x83023))+~P1(f317(f317(f224(f907(x83021,a897)),x83024),x83022))
% 199.17/199.23 [8396]~P1(f317(f28(x83961),x83964))+E(f317(f317(f3(a901),f317(f317(f8(x83961,a901),x83962),x83963)),f317(f317(f8(x83961,a901),x83962),x83964)),f317(f317(f8(x83961,a901),x83962),f317(f317(f3(f907(x83961,a897)),x83963),x83964)))+~P1(f317(f317(f224(f907(x83961,a897)),x83964),x83963))
% 199.17/199.23 [8543]~P6(x85431,x85434,x85433)+~P1(f317(f317(f319(x85431),x85432),x85434))+P1(f317(f317(f319(x85431),x85432),f317(f274(x85431,x85431,x85433),f317(f317(f299(x85431),x85432),f179(f907(x85431,a897))))))
% 199.17/199.23 [8603]~P1(f317(f317(f224(f907(x86031,a897)),x86032),x86033))+~P1(f317(f317(f224(f907(x86031,a897)),x86032),x86034))+P1(f317(f317(f224(f907(x86031,a897)),x86032),f317(f317(f92(f907(x86031,a897)),x86033),x86034)))
% 199.17/199.23 [8706]E(x87061,f179(f907(x87062,a897)))+P1(f317(f28(x87063),x87064))+~P1(f317(f28(f906(x87063,x87062)),f317(f317(f244(x87063,x87062),x87064),f317(f18(f907(x87062,a897),x87063),x87061))))
% 199.17/199.23 [8707]E(x87071,f179(f907(x87072,a897)))+P1(f317(f28(x87073),x87074))+~P1(f317(f28(f906(x87072,x87073)),f317(f317(f244(x87072,x87073),x87071),f317(f18(f907(x87073,a897),x87072),x87074))))
% 199.17/199.23 [8776]P1(f317(f317(f319(x87761),x87762),f306(x87761,x87763)))+~P1(f317(f317(f319(x87761),x87764),f306(x87761,x87763)))+~P1(f317(f317(f319(f906(x87761,x87761)),f317(f317(f242(x87761,x87761),x87762),x87764)),x87763))
% 199.17/199.23 [8831]~P34(x88311,x88314)+P1(f317(f317(f319(f906(x88311,x88311)),f317(f317(f242(x88311,x88311),x88313),x88312)),f297(x88311,x88314)))+P34(x88311,f317(f317(f299(f906(x88311,x88311)),f317(f317(f242(x88311,x88311),x88312),x88313)),x88314))
% 199.17/199.23 [8832]~P55(x88321,x88324)+P1(f317(f317(f319(f906(x88321,x88321)),f317(f317(f242(x88321,x88321),x88323),x88322)),f297(x88321,x88324)))+P55(x88321,f317(f317(f299(f906(x88321,x88321)),f317(f317(f242(x88321,x88321),x88322),x88323)),x88324))
% 199.17/199.23 [8913]~E(x89132,x89133)+~P1(f317(f317(f319(x89131),x89132),f317(f162(x89131),x89134)))+P1(f317(f317(f319(f906(x89131,x89131)),f317(f317(f242(x89131,x89131),x89132),x89133)),f317(f162(f906(x89131,x89131)),f317(f317(f171(x89131,x89131),x89134),x89134))))
% 199.17/199.23 [9005]~E(x90053,x90054)+P1(f317(f317(f247(x90051,x90051,a897),a314),x90052))+~P1(f317(f317(f319(f906(x90051,x90051)),x90052),f317(f162(f906(x90051,x90051)),f317(f317(f171(x90051,x90051),x90053),x90054))))
% 199.17/199.23 [9049]P1(f317(f317(f319(f906(f902(x90491),f902(x90491))),f317(f317(f242(f902(x90491),f902(x90491)),x90492),x90493)),f137(x90491,x90494)))+~E(f317(f317(f165(x90491),f317(f180(f902(x90491)),x90492)),x90493),x90492)+~P1(f317(f317(f225(a901),f317(f180(f902(x90491)),x90492)),f317(f180(f902(x90491)),x90493)))
% 199.17/199.23 [9052]~P49(x90521,x90524)+~P1(f317(f317(f319(f906(x90521,x90521)),f317(f317(f242(x90521,x90521),x90523),x90522)),x90524))+P1(f317(f317(f319(f906(x90521,x90521)),f317(f317(f242(x90521,x90521),x90522),x90523)),x90524))
% 199.17/199.23 [9143]~P1(f317(f28(x91431),x91434))+P1(f317(f317(f319(x91431),f471(x91432,x91433,x91434,x91431)),x91434))+P1(f317(f28(x91433),f317(f317(f35(x91431,f907(x91433,a897)),x91434),x91432)))
% 199.17/199.23 [9144]~P1(f317(f28(x91441),x91444))+P1(f317(f317(f319(x91441),f571(x91442,x91443,x91444,x91441)),x91444))+P1(f317(f28(x91443),f317(f317(f35(x91441,f907(x91443,a897)),x91444),x91442)))
% 199.17/199.23 [9221]P1(f317(f317(f319(f906(x92211,x92211)),x92212),f317(f317(f278(x92211,x92211,x92211),x92213),f297(x92211,x92213))))+~P1(f317(f317(f225(a901),f2(a901)),x92214))+~P1(f317(f317(f319(f906(x92211,x92211)),x92212),f317(f317(f173(f906(x92211,x92211),a897),x92214),x92213)))
% 199.17/199.23 [9230]~P34(x92301,x92302)+~P1(f317(f317(f319(f906(x92301,x92301)),f317(f317(f242(x92301,x92301),x92304),x92303)),x92302))+~P1(f317(f317(f319(f906(x92301,x92301)),f317(f317(f242(x92301,x92301),x92303),x92304)),x92302))
% 199.17/199.23 [9363]~P1(f317(f28(x93631),x93634))+E(f317(f317(f8(x93631,a901),f317(f317(f10(f907(x93632,a897),a901,x93631),f29(x93632)),x93633)),x93634),f317(f29(f906(x93631,x93632)),f317(f317(f244(x93631,x93632),x93634),x93633)))+P1(f317(f317(f319(x93631),f529(x93633,x93632,x93634,x93631)),x93634))
% 199.17/199.23 [9367]~P1(f317(f127(x93671),x93672))+P1(f317(f127(x93671),f317(f317(f149(x93671,x93672),x93673),x93674)))+P1(f317(f317(f319(x93671),x93674),f317(f317(f3(f907(x93671,a897)),f317(f162(x93671),x93672)),f317(f317(f299(x93671),f317(f317(f154(x93671),x93672),x93673)),f179(f907(x93671,a897))))))
% 199.17/199.23 [9384]~P1(f317(f28(x93842),x93843))+~P1(f317(f28(x93841),f317(x93844,f471(x93844,x93841,x93843,x93842))))+P1(f317(f28(x93841),f317(f317(f35(x93842,f907(x93841,a897)),x93843),x93844)))
% 199.17/199.23 [9385]~P1(f317(f28(x93852),x93853))+~P1(f317(f28(x93851),f317(x93854,f571(x93854,x93851,x93853,x93852))))+P1(f317(f28(x93851),f317(f317(f35(x93852,f907(x93851,a897)),x93853),x93854)))
% 199.17/199.23 [9466]~P1(f317(f317(f319(f906(x94661,x94661)),x94662),f317(f317(f278(x94661,x94661,x94661),x94664),f297(x94661,x94664))))+P1(f317(f317(f319(f906(x94661,x94661)),x94662),f317(f317(f278(x94661,x94661,x94661),x94663),f297(x94661,x94663))))+~P1(f317(f317(f224(f907(f906(x94661,x94661),a897)),x94664),x94663))
% 199.17/199.23 [9476]E(f317(f317(f165(x94761),f642(x94764,x94763,x94762,x94761)),x94763),f317(f317(f165(x94761),f642(x94764,x94763,x94762,x94761)),x94762))+~P1(f317(f317(f319(f906(f902(x94761),f902(x94761))),f317(f317(f242(f902(x94761),f902(x94761)),x94762),x94763)),f137(x94761,x94764)))+E(f317(f317(f165(x94761),f317(f180(f902(x94761)),x94762)),x94763),x94762)
% 199.17/199.23 [9495]~P1(f317(f28(x94951),x94954))+E(f317(f317(f8(x94951,a901),f317(f317(f10(f907(x94952,a897),a901,x94951),f29(x94952)),x94953)),x94954),f317(f29(f906(x94951,x94952)),f317(f317(f244(x94951,x94952),x94954),x94953)))+~P1(f317(f28(x94952),f317(x94953,f529(x94953,x94952,x94954,x94951))))
% 199.17/199.23 [9500]~E(f317(f180(f902(x95001)),x95003),f317(f180(f902(x95001)),x95002))+P1(f317(f317(f319(f906(f902(x95001),f902(x95001))),f317(f317(f242(f902(x95001),f902(x95001)),x95002),x95003)),f148(x95001,x95004)))+P1(f317(f317(f319(f906(x95001,x95001)),f646(x95004,x95003,x95002,x95001)),f317(f162(f906(x95001,x95001)),f317(f317(f171(x95001,x95001),x95002),x95003))))
% 199.17/199.23 [9580]~P1(f317(f317(f319(f906(f902(x95801),f902(x95801))),f317(f317(f242(f902(x95801),f902(x95801)),x95802),x95803)),f137(x95801,x95804)))+E(f317(f317(f165(x95801),f317(f180(f902(x95801)),x95802)),x95803),x95802)+P1(f317(f317(f225(a901),f642(x95804,x95803,x95802,x95801)),f317(f317(f228(a901),f317(f180(f902(x95801)),x95802)),f317(f180(f902(x95801)),x95803))))
% 199.17/199.23 [9604]~P1(f317(f317(f319(f906(f902(x96041),f902(x96041))),f317(f317(f242(f902(x96041),f902(x96041)),x96042),x96043)),f137(x96041,x96044)))+P1(f317(f317(f225(a901),f317(f180(f902(x96041)),x96042)),f317(f180(f902(x96041)),x96043)))+P1(f317(f317(f225(a901),f642(x96044,x96043,x96042,x96041)),f317(f317(f228(a901),f317(f180(f902(x96041)),x96042)),f317(f180(f902(x96041)),x96043))))
% 199.17/199.23 [10034]~P1(f317(f317(f319(f906(f902(x100341),f902(x100341))),f317(f317(f242(f902(x100341),f902(x100341)),x100342),x100343)),f137(x100341,x100344)))+E(f317(f317(f165(x100341),f317(f180(f902(x100341)),x100342)),x100343),x100342)+P1(f317(f317(f319(f906(x100341,x100341)),f317(f317(f242(x100341,x100341),f317(f317(f154(x100341),x100342),f642(x100344,x100343,x100342,x100341))),f317(f317(f154(x100341),x100343),f642(x100344,x100343,x100342,x100341)))),x100344))
% 199.17/199.23 [10035]~P1(f317(f317(f319(f906(f902(x100351),f902(x100351))),f317(f317(f242(f902(x100351),f902(x100351)),x100352),x100353)),f137(x100351,x100354)))+P1(f317(f317(f225(a901),f317(f180(f902(x100351)),x100352)),f317(f180(f902(x100351)),x100353)))+P1(f317(f317(f319(f906(x100351,x100351)),f317(f317(f242(x100351,x100351),f317(f317(f154(x100351),x100352),f642(x100354,x100353,x100352,x100351))),f317(f317(f154(x100351),x100353),f642(x100354,x100353,x100352,x100351)))),x100354))
% 199.17/199.23 [10089]~E(f317(f180(f902(x100891)),x100892),f317(f180(f902(x100891)),x100893))+P1(f317(f317(f319(f906(f902(x100891),f902(x100891))),f317(f317(f242(f902(x100891),f902(x100891)),x100892),x100893)),f148(x100891,x100894)))+~P1(f317(f317(f319(f906(x100891,x100891)),f317(f317(f242(x100891,x100891),f317(f317(f154(x100891),x100892),f630(x100894,x100893,x100892,x100891))),f317(f317(f154(x100891),x100893),f630(x100894,x100893,x100892,x100891)))),x100894))
% 199.17/199.23 [10236]~P72(x102361)+~P1(f317(f28(x102362),x102364))+E(f317(f155(x102361),f317(f317(f144(x102362,x102361),x102363),f84(f902(x102362),f317(f317(f20(f902(x102362),a897,a897),f317(f317(f10(a897,f907(a897,a897),f902(x102362)),a315),f317(f317(f9(f902(x102362),f907(x102362,a897),a897),f317(f317(f10(f907(x102362,a897),f907(f907(x102362,a897),a897),f902(x102362)),a314),f162(x102362))),x102364))),f127(x102362))))),f222(x102362,x102361,x102363,x102364))
% 199.17/199.23 [7498]~P61(x74982)+E(x74981,f2(x74982))+E(f317(f317(f280(x74982),f317(f317(f74(x74982),x74983),f317(f317(f75(x74982),x74984),x74981))),x74981),f317(f317(f74(x74982),x74984),f317(f317(f280(x74982),x74983),x74981)))
% 199.17/199.23 [7499]~P58(x74992)+E(x74991,f2(x74992))+E(f317(f317(f30(x74992),f317(f317(f74(x74992),x74993),f317(f317(f75(x74992),x74994),x74991))),x74991),f317(f317(f74(x74992),x74994),f317(f317(f30(x74992),x74993),x74991)))
% 199.17/199.23 [7500]~P58(x75002)+E(x75001,f2(x75002))+E(f317(f317(f30(x75002),f317(f317(f74(x75002),x75003),f317(f317(f75(x75002),x75001),x75004))),x75001),f317(f317(f74(x75002),x75004),f317(f317(f30(x75002),x75003),x75001)))
% 199.17/199.23 [7726]~P62(x77262)+E(x77261,f2(x77262))+E(f317(f317(f280(x77262),f317(f317(f3(x77262),x77263),f317(f317(f75(x77262),x77261),x77264))),x77261),f317(f317(f3(x77262),f317(f317(f280(x77262),x77263),x77261)),x77264))
% 199.17/199.23 [7727]~P61(x77272)+E(x77271,f2(x77272))+E(f317(f317(f280(x77272),f317(f317(f74(x77272),x77273),f317(f317(f75(x77272),x77274),x77271))),x77271),f317(f317(f74(x77272),f317(f317(f280(x77272),x77273),x77271)),x77274))
% 199.17/199.23 [7728]~P62(x77282)+E(x77281,f2(x77282))+E(f317(f317(f280(x77282),f317(f317(f74(x77282),x77283),f317(f317(f75(x77282),x77281),x77284))),x77281),f317(f317(f74(x77282),f317(f317(f280(x77282),x77283),x77281)),x77284))
% 199.17/199.23 [8428]~P1(f317(f150(x84281,x84283),x84284))+~P1(f317(f150(x84281,x84282),x84284))+P1(f317(f150(x84281,f317(f317(f92(f907(x84281,a897)),x84282),x84283)),x84284))
% 199.17/199.23 [8789]~E(f317(f317(f278(x87891,x87891,x87891),x87892),x87894),f179(f907(f906(x87891,x87891),a897)))+~E(f317(f317(f278(x87891,x87891,x87891),x87892),x87893),f179(f907(f906(x87891,x87891),a897)))+E(f317(f317(f278(x87891,x87891,x87891),x87892),f317(f317(f91(f907(f906(x87891,x87891),a897)),x87893),x87894)),f179(f907(f906(x87891,x87891),a897)))
% 199.17/199.23 [8914]~P1(f317(f317(f224(f907(x89141,a897)),x89143),x89144))+~P1(f317(f317(f224(f907(x89141,a897)),x89142),x89144))+P1(f317(f317(f224(f907(x89141,a897)),f317(f317(f91(f907(x89141,a897)),x89142),x89143)),x89144))
% 199.17/199.23 [9290]~P1(f317(f28(x92901),x92904))+~P1(f317(f28(x92901),x92903))+E(f317(f317(f3(a901),f317(f317(f74(a901),f317(f317(f8(x92901,a901),x92902),x92903)),f317(f317(f8(x92901,a901),x92902),x92904))),f317(f317(f8(x92901,a901),x92902),f317(f317(f92(f907(x92901,a897)),x92903),x92904))),f317(f317(f8(x92901,a901),x92902),f317(f317(f91(f907(x92901,a897)),x92903),x92904)))
% 199.17/199.23 [9381]~P1(f317(f317(f319(x93811),x93813),x93812))+~P1(f317(f317(f224(f907(x93811,a897)),x93812),f317(f317(f299(x93811),x93813),x93814)))+P1(f317(f317(f224(f907(x93811,a897)),f317(f317(f3(f907(x93811,a897)),x93812),f317(f317(f299(x93811),x93813),f179(f907(x93811,a897))))),x93814))
% 199.17/199.23 [9555]~P1(f317(f317(f319(x95551),x95553),x95552))+P1(f317(f317(f224(f907(x95551,a897)),x95552),f317(f317(f299(x95551),x95553),x95554)))+~P1(f317(f317(f224(f907(x95551,a897)),f317(f317(f3(f907(x95551,a897)),x95552),f317(f317(f299(x95551),x95553),f179(f907(x95551,a897))))),x95554))
% 199.17/199.23 [9658]~P1(f317(f317(f224(a901),x96581),x96583))+~P1(f317(f317(f225(a901),x96582),x96584))+P1(f317(f317(f319(f906(f906(a901,a901),f906(a901,a901))),f317(f317(f242(f906(a901,a901),f906(a901,a901)),f317(f317(f242(a901,a901),x96581),x96582)),f317(f317(f242(a901,a901),x96583),x96584))),a26))
% 199.17/199.23 [9659]~P1(f317(f317(f224(a901),x96592),x96594))+~P1(f317(f317(f224(a901),x96591),x96593))+P1(f317(f317(f319(f906(f906(a901,a901),f906(a901,a901))),f317(f317(f242(f906(a901,a901),f906(a901,a901)),f317(f317(f242(a901,a901),x96591),x96592)),f317(f317(f242(a901,a901),x96593),x96594))),a65))
% 199.17/199.23 [9972]~P1(f317(f317(f319(f902(x99721)),x99724),f151(x99721,x99723)))+~P1(f317(f317(f319(f902(x99721)),x99724),f151(x99721,x99722)))+P1(f317(f150(x99721,f317(f317(f92(f907(x99721,a897)),f317(f317(f9(x99721,f907(x99721,a897),a897),f319(x99721)),x99722)),f317(f317(f9(x99721,f907(x99721,a897),a897),f319(x99721)),x99723))),x99724))
% 199.17/199.23 [10064]~P22(x100641,f907(f907(x100641,a897),a897),f317(f317(f9(x100641,f907(f906(x100641,x100641),a897),f907(f907(x100641,a897),a897)),f317(f317(f10(f907(x100641,a897),f907(f907(f906(x100641,x100641),a897),f907(f907(x100641,a897),a897)),x100641),f55(x100641)),f317(f317(f9(x100641,f907(x100641,a897),f907(x100641,a897)),f299(x100641)),f179(f907(x100641,a897))))),x100643),x100642)+~P1(f317(f317(f319(x100641),x100644),x100642))+E(f317(f317(f3(f907(f907(x100641,a897),a897)),f317(f317(f55(x100641),x100642),x100643)),f317(f317(f55(x100641),f317(f317(f299(x100641),x100644),f179(f907(x100641,a897)))),x100643)),f317(f317(f55(x100641),f317(f317(f3(f907(x100641,a897)),x100642),f317(f317(f299(x100641),x100644),f179(f907(x100641,a897))))),x100643))
% 199.17/199.23 [10183]~P50(x101831,x101832,x101834)+~P1(f317(f317(f319(f906(x101831,x101831)),x101833),x101834))+P1(f317(f317(f247(x101831,x101831,a897),f317(f317(f9(x101831,f907(x101831,a897),f907(x101831,a897)),f317(f317(f10(f907(a897,a897),f907(f907(x101831,a897),f907(x101831,a897)),x101831),f10(a897,a897,x101831)),f317(f317(f10(a897,f907(a897,a897),x101831),a315),f317(f317(f9(x101831,f907(x101831,a897),a897),f319(x101831)),x101832)))),f317(f317(f9(x101831,f907(x101831,a897),a897),f319(x101831)),x101832))),x101833))
% 199.17/199.23 [10195]P1(f317(f28(x101951),x101952))+~P1(f317(f28(x101953),f317(f300(x101951,x101953,x101954),x101952)))+~P1(f317(f28(x101951),f317(f252(x101951),f317(f317(f20(x101951,a897,a897),f317(f317(f10(a897,f907(a897,a897),x101951),a315),f317(f317(f9(x101951,f907(x101951,a897),a897),f319(x101951)),x101952))),f317(f317(f9(x101951,x101953,a897),f317(f317(f10(x101953,f907(x101953,a897),x101951),a314),x101954)),f317(x101954,f562(x101954,x101953,x101952,x101951)))))))
% 199.17/199.23 [8180]~P62(x81802)+E(x81801,f2(x81802))+E(f317(f317(f280(x81802),f317(f317(f3(x81802),f317(f317(f75(x81802),x81801),x81803)),x81804)),x81801),f317(f317(f3(x81802),x81803),f317(f317(f280(x81802),x81804),x81801)))
% 199.17/199.23 [8181]~P62(x81812)+E(x81811,f2(x81812))+E(f317(f317(f280(x81812),f317(f317(f74(x81812),f317(f317(f75(x81812),x81811),x81813)),x81814)),x81811),f317(f317(f74(x81812),x81813),f317(f317(f280(x81812),x81814),x81811)))
% 199.17/199.23 [9078]~E(f317(f317(f278(x90781,x90781,x90781),x90783),x90784),f179(f907(f906(x90781,x90781),a897)))+~E(f317(f317(f278(x90781,x90781,x90781),x90782),x90784),f179(f907(f906(x90781,x90781),a897)))+E(f317(f317(f278(x90781,x90781,x90781),f317(f317(f91(f907(f906(x90781,x90781),a897)),x90782),x90783)),x90784),f179(f907(f906(x90781,x90781),a897)))
% 199.17/199.23 [9878]~P1(f317(f150(x98781,x98783),x98784))+~P1(f317(f150(x98781,x98782),x98784))+P1(f317(f150(x98781,f317(f317(f20(x98781,a897,a897),f317(f317(f10(a897,f907(a897,a897),x98781),a315),x98782)),x98783)),x98784))
% 199.17/199.23 [10124]P1(f317(x101241,f537(x101242,x101243,x101241,x101244)))+~P1(f317(f28(x101244),f317(f252(x101244),x101241)))+P1(f317(f28(x101243),f317(f252(x101243),f317(f317(f10(f907(x101244,a897),a897,x101243),f80(x101244)),f317(f317(f10(f907(x101244,a897),f907(x101244,a897),x101243),f317(f20(x101244,a897,a897),f317(f317(f10(a897,f907(a897,a897),x101244),a315),x101241))),x101242)))))
% 199.17/199.23 [10143]~P1(f317(f28(x101432),f317(f252(x101432),x101433)))+~P1(f317(f28(x101431),f317(f252(x101431),f317(f317(f9(x101431,x101432,a897),x101434),f537(x101434,x101431,x101433,x101432)))))+P1(f317(f28(x101431),f317(f252(x101431),f317(f317(f10(f907(x101432,a897),a897,x101431),f80(x101432)),f317(f317(f10(f907(x101432,a897),f907(x101432,a897),x101431),f317(f20(x101432,a897,a897),f317(f317(f10(a897,f907(a897,a897),x101432),a315),x101433))),x101434)))))
% 199.17/199.23 [10207]~P1(f317(f28(x102071),x102074))+P1(f317(f317(f319(x102071),f775(x102072,x102073,x102074,x102071)),x102074))+P1(f317(f28(x102073),f317(f252(x102073),f317(f317(f10(f907(x102071,a897),a897,x102073),f80(x102071)),f317(f317(f10(f907(x102071,a897),f907(x102071,a897),x102073),f317(f20(x102071,a897,a897),f317(f317(f10(a897,f907(a897,a897),x102071),a315),f317(f317(f9(x102071,f907(x102071,a897),a897),f319(x102071)),x102074)))),x102072)))))
% 199.17/199.23 [10213]~P1(f317(f28(x102132),x102133))+~P1(f317(f28(x102131),f317(f252(x102131),f317(f317(f9(x102131,x102132,a897),x102134),f775(x102134,x102131,x102133,x102132)))))+P1(f317(f28(x102131),f317(f252(x102131),f317(f317(f10(f907(x102132,a897),a897,x102131),f80(x102132)),f317(f317(f10(f907(x102132,a897),f907(x102132,a897),x102131),f317(f20(x102132,a897,a897),f317(f317(f10(a897,f907(a897,a897),x102132),a315),f317(f317(f9(x102132,f907(x102132,a897),a897),f319(x102132)),x102133)))),x102134)))))
% 199.17/199.23 [5106]~E(x51062,x51064)+E(f159(x51061,x51062,x51063),f159(x51061,x51064,x51065))+~E(x51062,f2(a901))
% 199.17/199.23 [5352]E(x53521,x53522)+~E(f159(x53524,x53523,x53521),f159(x53524,x53525,x53522))+E(x53523,f2(a901))
% 199.17/199.23 [6638]E(x66381,x66382)+~E(f317(x66383,x66381),f317(x66383,x66382))+~P22(x66384,x66385,x66383,f232(f907(x66384,a897)))
% 199.17/199.23 [7530]E(x75301,x75302)+~P22(x75303,x75304,x75305,f232(f907(x75303,a897)))+~E(f317(f300(x75303,x75304,x75305),x75301),f317(f300(x75303,x75304,x75305),x75302))
% 199.17/199.23 [7781]P22(x77812,x77813,f500(x77814,x77813,x77812,x77811),x77811)+~E(f317(f300(x77813,x77812,x77815),x77814),x77811)+E(x77811,f179(f907(x77812,a897)))
% 199.17/199.23 [8313]~P1(f317(f317(x83133,x83132),x83135))+~P1(f317(f317(x83133,x83134),x83132))+P1(f317(f317(f319(x83131),x83132),f288(x83131,x83133,x83134,x83135)))
% 199.17/199.23 [8314]~P1(f317(f317(x83143,x83142),x83145))+~P1(f317(f317(x83143,x83144),x83142))+P1(f317(f317(f319(x83141),x83142),f279(x83141,x83143,x83144,x83145)))
% 199.17/199.23 [8610]~P22(x86101,x86102,x86103,x86104)+P23(x86101,x86102,x86103,x86104,x86105)+~E(f317(f300(x86101,x86102,x86103),x86104),x86105)
% 199.17/199.23 [8746]~P23(x87461,x87463,x87464,x87462,x87465)+~P1(f317(f28(x87463),x87465))+P1(f317(f28(x87461),x87462))
% 199.17/199.23 [8747]~P23(x87473,x87471,x87474,x87475,x87472)+~P1(f317(f28(x87473),x87475))+P1(f317(f28(x87471),x87472))
% 199.17/199.23 [8871]~P22(x88711,x88713,x88715,f232(f907(x88711,a897)))+~P22(x88713,x88712,x88714,f232(f907(x88713,a897)))+P22(x88711,x88712,f317(f67(x88713,x88712,x88711,x88714),x88715),f232(f907(x88711,a897)))
% 199.17/199.23 [9443]P1(f317(f317(f319(f906(x94431,x94431)),f317(f317(f242(x94431,x94431),x94432),x94433)),f297(x94431,x94434)))+~P1(f317(f317(f319(f906(x94431,x94431)),f317(f317(f242(x94431,x94431),x94432),x94435)),f297(x94431,x94434)))+~P1(f317(f317(f319(f906(x94431,x94431)),f317(f317(f242(x94431,x94431),x94435),x94433)),f297(x94431,x94434)))
% 199.17/199.23 [9483]~P108(x94832)+~P1(f317(f127(x94831),x94835))+P1(f317(f127(x94831),f139(x94831,x94832,x94833,x94834,x94835)))
% 199.17/199.23 [5431]~E(x54312,f103(x54311))+E(f317(f317(f124(x54311),x54312),x54313),f317(f317(f141(x54311),x54314),x54315))+~E(x54313,f317(f317(f141(x54311),x54314),x54315))
% 199.17/199.23 [5432]~E(x54322,f103(x54321))+E(f317(f317(f124(x54321),x54322),x54323),f317(f317(f141(x54321),x54324),x54325))+~E(f317(f317(f141(x54321),x54324),x54325),x54323)
% 199.17/199.23 [6596]~E(f317(f180(f902(x65961)),x65965),f317(f180(f902(x65962)),x65964))+E(f317(f317(f144(f906(x65961,x65962),x65962),f246(x65961,x65962)),x65963),x65964)+~E(f317(f317(f171(x65961,x65962),x65965),x65964),x65963)
% 199.17/199.23 [6597]~E(f317(f180(f902(x65971)),x65974),f317(f180(f902(x65972)),x65975))+E(f317(f317(f144(f906(x65971,x65972),x65971),f241(x65971,x65972)),x65973),x65974)+~E(f317(f317(f171(x65971,x65972),x65974),x65975),x65973)
% 199.17/199.23 [7077]~P108(x70771)+~P11(x70771,f317(f317(f144(x70772,x70771),x70773),x70775))+P11(x70771,f317(f317(f144(x70772,x70771),x70773),f317(f126(x70772,x70774),x70775)))
% 199.17/199.23 [7218]~P108(x72181)+P11(x72181,f317(f317(f144(x72182,x72181),x72183),f160(x72182,x72184,x72185)))+~P11(x72181,f317(f317(f144(x72182,x72181),x72183),x72185))
% 199.17/199.23 [7241]~P52(x72413,x72412,x72415)+~P52(x72411,x72413,x72414)+P52(x72411,x72412,f317(f317(f278(x72411,x72413,x72412),x72414),x72415))
% 199.17/199.23 [7336]E(x73361,x73362)+~P22(x73363,x73364,x73365,f232(f907(x73363,a897)))+~E(f317(f317(f144(x73363,x73364),x73365),x73361),f317(f317(f144(x73363,x73364),x73365),x73362))
% 199.17/199.23 [7485]~P1(f317(f317(f224(a901),x74851),f317(x74853,x74855)))+P1(f317(f317(f224(a901),x74851),f145(x74852,x74853,x74854)))+~P1(f317(f317(f319(x74852),x74855),f317(f162(x74852),x74854)))
% 199.17/199.23 [7486]~P1(f317(f317(f225(a901),x74861),f317(x74863,x74865)))+P1(f317(f317(f225(a901),x74861),f145(x74862,x74863,x74864)))+~P1(f317(f317(f319(x74862),x74865),f317(f162(x74862),x74864)))
% 199.17/199.23 [7878]P1(f317(x78781,x78782))+~P1(f317(x78781,x78783))+~P1(f317(f317(f319(x78784),x78782),f317(f162(x78784),f159(x78784,x78785,x78783))))
% 199.17/199.23 [7879]P1(f317(x78791,x78792))+~P1(f317(x78791,x78793))+~P1(f317(f317(f319(x78794),x78793),f317(f162(x78794),f159(x78794,x78795,x78792))))
% 199.17/199.23 [7884]~P109(x78841)+P1(f317(f317(f224(f907(x78841,a897)),f294(x78841,x78842,x78843)),f294(x78841,x78844,x78845)))+P1(f317(f317(f224(x78841),x78842),x78843))
% 199.17/199.23 [7907]~P3(x79071)+P1(f317(f317(f224(x79071),f317(f317(f34(x79072,x79071),x79073),x79074)),f317(x79074,x79075)))+~P1(f317(f317(f319(x79072),x79075),x79073))
% 199.17/199.23 [7978]~P22(x79781,x79782,x79784,x79783)+E(f317(f71(x79781,x79782,x79783,x79784),f317(x79784,x79785)),x79785)+~P1(f317(f317(f319(x79781),x79785),x79783))
% 199.17/199.23 [7979]~P22(x79791,x79792,x79794,x79793)+E(f317(f85(x79791,x79792,x79793,x79794),f317(x79794,x79795)),x79795)+~P1(f317(f317(f319(x79791),x79795),x79793))
% 199.17/199.23 [8171]~P1(f317(x81711,x81715))+P1(f317(x81711,f390(x81711,x81712,x81713,x81714)))+~P1(f317(f317(f319(x81714),x81715),x81713))
% 199.17/199.23 [8172]~P1(f317(x81721,x81725))+P1(f317(x81721,f390(x81721,x81722,x81723,x81724)))+~P1(f317(f317(f319(x81724),x81725),x81722))
% 199.17/199.23 [8266]P1(f317(f28(x82661),x82662))+~P1(f317(f28(x82663),x82664))+~P1(f317(f317(f224(f907(x82661,a897)),x82662),f317(f300(x82663,x82661,x82665),x82664)))
% 199.17/199.23 [8432]E(x84321,x84322)+~P22(x84323,x84324,x84325,f317(f317(f91(f907(x84323,a897)),f317(f162(x84323),x84321)),f317(f162(x84323),x84322)))+~E(f317(f317(f144(x84323,x84324),x84325),x84321),f317(f317(f144(x84323,x84324),x84325),x84322))
% 199.17/199.23 [8482]~P109(x84821)+~P1(f317(f317(f225(f907(x84821,a897)),f294(x84821,x84824,x84825)),f294(x84821,x84822,x84823)))+P1(f317(f317(f224(x84821),x84822),x84823))
% 199.17/199.23 [8542]~P22(x85421,x85424,x85425,f232(f907(x85421,a897)))+~P1(f317(f317(f319(x85424),f317(x85425,x85422)),f317(f300(x85421,x85424,x85425),x85423)))+P1(f317(f317(f319(x85421),x85422),x85423))
% 199.17/199.23 [8616]P1(f317(x86161,x86162))+~P1(f317(x86161,f337(x86161,x86163,x86164,x86165)))+~P1(f317(f317(f319(x86165),x86162),x86164))
% 199.17/199.23 [8617]P1(f317(x86171,x86172))+~P1(f317(x86171,f337(x86171,x86173,x86174,x86175)))+~P1(f317(f317(f319(x86175),x86172),x86173))
% 199.17/199.23 [8911]~P22(x89112,x89113,x89111,x89114)+E(f317(x89111,f317(f71(x89112,x89113,x89114,x89111),x89115)),x89115)+~P1(f317(f317(f319(x89113),x89115),f317(f300(x89112,x89113,x89111),x89114)))
% 199.17/199.23 [9019]E(x90191,f103(x90192))+E(f317(f317(f141(x90192),x90193),f662(x90194,x90193,x90195,x90191,x90192)),x90191)+~E(f317(f317(f124(x90192),x90191),x90195),f317(f317(f141(x90192),x90193),x90194))
% 199.17/199.23 [9020]E(x90201,f103(x90202))+E(f317(f317(f141(x90202),x90203),f663(x90204,x90201,x90205,x90203,x90202)),x90201)+~E(f317(f317(f124(x90202),x90201),x90204),f317(f317(f141(x90202),x90203),x90205))
% 199.17/199.23 [9037]E(f317(f317(f141(x90372),x90373),f662(x90374,x90373,x90371,x90375,x90372)),x90375)+~E(f317(f317(f124(x90372),x90375),x90371),f317(f317(f141(x90372),x90373),x90374))+E(x90371,f317(f317(f141(x90372),x90373),x90374))
% 199.17/199.23 [9038]E(f317(f317(f141(x90381),x90382),f663(x90384,x90385,x90383,x90382,x90381)),x90385)+~E(f317(f317(f124(x90381),x90385),x90384),f317(f317(f141(x90381),x90382),x90383))+E(f317(f317(f141(x90381),x90382),x90383),x90384)
% 199.17/199.23 [9114]~E(f317(f300(x91143,x91142,x91144),f232(f907(x91143,a897))),f232(f907(x91142,a897)))+~E(f317(f300(x91141,x91143,x91145),f232(f907(x91141,a897))),f232(f907(x91143,a897)))+E(f317(f300(x91141,x91142,f317(f67(x91143,x91142,x91141,x91144),x91145)),f232(f907(x91141,a897))),f232(f907(x91142,a897)))
% 199.17/199.23 [9346]E(f317(f300(x93461,x93462,x93463),f876(x93464,x93463,x93461,x93465,x93462)),x93465)+~P1(f317(f28(x93462),x93465))+~P1(f317(f317(f224(f907(x93462,a897)),x93465),f317(f300(x93461,x93462,x93463),x93464)))
% 199.17/199.23 [9492]E(x94921,f103(x94922))+~E(f317(f317(f124(x94922),x94921),x94923),f317(f317(f141(x94922),x94925),x94924))+E(f317(f317(f124(x94922),f663(x94923,x94921,x94924,x94925,x94922)),x94923),x94924)
% 199.17/199.23 [9493]E(x94931,f103(x94932))+~E(f317(f317(f124(x94932),x94931),x94935),f317(f317(f141(x94932),x94934),x94933))+E(f317(f317(f124(x94932),f662(x94933,x94934,x94935,x94931,x94932)),x94935),x94933)
% 199.17/199.23 [9501]E(f317(f317(f124(x95012),f662(x95014,x95013,x95011,x95015,x95012)),x95011),x95014)+~E(f317(f317(f124(x95012),x95015),x95011),f317(f317(f141(x95012),x95013),x95014))+E(x95011,f317(f317(f141(x95012),x95013),x95014))
% 199.17/199.23 [9502]~E(f317(f317(f124(x95021),x95025),x95024),f317(f317(f141(x95021),x95022),x95023))+E(f317(f317(f124(x95021),f663(x95024,x95025,x95023,x95022,x95021)),x95024),x95023)+E(f317(f317(f141(x95021),x95022),x95023),x95024)
% 199.17/199.23 [9503]E(f317(f317(f124(x95031),x95035),f666(x95033,x95032,x95034,x95035,x95031)),x95032)+E(f317(f317(f124(x95031),x95032),f665(x95033,x95032,x95034,x95035,x95031)),x95035)+~E(f317(f317(f124(x95031),x95035),x95034),f317(f317(f124(x95031),x95032),x95033))
% 199.17/199.23 [9533]~P108(x95331)+P11(x95331,f317(f317(f144(x95332,x95331),x95333),f139(x95332,x95331,x95333,x95334,x95335)))+~P11(x95331,f317(f317(f144(x95332,x95331),x95333),x95335))
% 199.17/199.23 [9550]~P56(x95505,x95501,x95504,x95503)+P1(f317(f317(x95501,x95502),f518(x95503,x95504,x95501,x95505,x95502)))+~P1(f317(f317(f319(x95505),x95502),x95504))
% 199.17/199.23 [9551]~P56(x95515,x95511,x95514,x95513)+P1(f317(f317(x95511,x95512),f781(x95513,x95514,x95511,x95515,x95512)))+~P1(f317(f317(f319(x95515),x95512),x95514))
% 199.17/199.23 [9605]~P1(f317(f28(x96055),x96054))+P1(f317(f28(x96051),f876(x96052,x96053,x96051,x96054,x96055)))+~P1(f317(f317(f224(f907(x96055,a897)),x96054),f317(f300(x96051,x96055,x96053),x96052)))
% 199.17/199.23 [9670]~P1(f317(f317(f319(f906(x96701,x96701)),f317(f317(f242(x96701,x96701),x96705),x96703)),f297(x96701,x96704)))+P1(f317(f317(f319(f906(x96701,x96701)),f317(f317(f242(x96701,x96701),x96702),x96703)),f317(f317(f278(x96701,x96701,x96701),x96704),f297(x96701,x96704))))+~P1(f317(f317(f319(f906(x96701,x96701)),f317(f317(f242(x96701,x96701),x96702),x96705)),f317(f317(f278(x96701,x96701,x96701),x96704),f297(x96701,x96704))))
% 199.17/199.23 [9671]~P1(f317(f317(f319(f906(x96711,x96711)),f317(f317(f242(x96711,x96711),x96712),x96715)),f297(x96711,x96714)))+P1(f317(f317(f319(f906(x96711,x96711)),f317(f317(f242(x96711,x96711),x96712),x96713)),f317(f317(f278(x96711,x96711,x96711),x96714),f297(x96711,x96714))))+~P1(f317(f317(f319(f906(x96711,x96711)),f317(f317(f242(x96711,x96711),x96715),x96713)),f317(f317(f278(x96711,x96711,x96711),x96714),f297(x96711,x96714))))
% 199.17/199.23 [9673]P1(f317(f317(f319(f906(f902(x96731),f902(x96731))),f317(f317(f242(f902(x96731),f902(x96731)),x96732),x96733)),f148(x96731,f297(x96731,x96734))))+~P1(f317(f317(f319(f906(f902(x96731),f902(x96731))),f317(f317(f242(f902(x96731),f902(x96731)),x96732),x96735)),f148(x96731,f297(x96731,x96734))))+~P1(f317(f317(f319(f906(f902(x96731),f902(x96731))),f317(f317(f242(f902(x96731),f902(x96731)),x96735),x96733)),f148(x96731,f297(x96731,x96734))))
% 199.17/199.23 [9677]E(f317(f317(f124(x96771),x96772),f665(x96773,x96772,x96774,x96775,x96771)),x96775)+E(f317(f317(f124(x96771),f666(x96773,x96772,x96774,x96775,x96771)),x96773),x96774)+~E(f317(f317(f124(x96771),x96772),x96773),f317(f317(f124(x96771),x96775),x96774))
% 199.17/199.23 [9678]E(f317(f317(f124(x96781),x96782),f666(x96783,x96784,x96785,x96782,x96781)),x96784)+E(f317(f317(f124(x96781),f665(x96783,x96784,x96785,x96782,x96781)),x96785),x96783)+~E(f317(f317(f124(x96781),x96782),x96785),f317(f317(f124(x96781),x96784),x96783))
% 199.17/199.23 [9737]P1(f317(f317(f319(f906(x97371,x97371)),f317(f317(f242(x97371,x97371),x97372),x97373)),f317(f317(f278(x97371,x97371,x97371),x97374),f297(x97371,x97374))))+~P1(f317(f317(f319(f906(x97371,x97371)),f317(f317(f242(x97371,x97371),x97372),x97375)),f317(f317(f278(x97371,x97371,x97371),x97374),f297(x97371,x97374))))+~P1(f317(f317(f319(f906(x97371,x97371)),f317(f317(f242(x97371,x97371),x97375),x97373)),f317(f317(f278(x97371,x97371,x97371),x97374),f297(x97371,x97374))))
% 199.17/199.23 [9768]P31(x97681,x97682,x97683,x97684,x97685)+~E(f317(f180(f902(x97681)),x97684),f317(f180(f902(x97682)),x97685))+~P1(f317(f317(f247(x97681,x97682,a897),x97683),f681(x97685,x97684,x97683,x97682,x97681)))
% 199.17/199.23 [9769]P31(x97691,x97692,x97693,x97694,x97695)+~E(f317(f180(f902(x97691)),x97694),f317(f180(f902(x97692)),x97695))+~P1(f317(f317(f247(x97691,x97692,a897),x97693),f682(x97693,x97695,x97694,x97692,x97691)))
% 199.17/199.23 [9774]E(f317(f317(f124(x97741),f665(x97742,x97743,x97744,x97745,x97741)),x97744),x97742)+~E(f317(f317(f124(x97741),x97743),x97742),f317(f317(f124(x97741),x97745),x97744))+E(f317(f317(f124(x97741),f666(x97742,x97743,x97744,x97745,x97741)),x97742),x97744)
% 199.17/199.23 [9793]~P108(x97932)+E(f317(f317(f138(x97931,x97932,x97933),x97934),x97935),f317(f317(f141(x97931),x97934),x97935))+P1(f317(f317(f319(x97931),f725(x97934,x97933,x97935,x97931,x97932)),f317(f162(x97931),x97935)))
% 199.17/199.23 [9797]~P56(x97971,x97974,x97973,x97972)+~P1(f317(f317(f319(x97971),x97975),x97973))+P1(f317(f317(f319(x97971),f518(x97972,x97973,x97974,x97971,x97975)),x97972))
% 199.17/199.23 [9798]~P56(x97981,x97984,x97983,x97982)+~P1(f317(f317(f319(x97981),x97985),x97983))+P1(f317(f317(f319(x97981),f781(x97982,x97983,x97984,x97981,x97985)),x97982))
% 199.17/199.23 [9850]~P1(f317(f28(x98505),x98504))+~P1(f317(f317(f224(f907(x98505,a897)),x98504),f317(f300(x98501,x98505,x98503),x98502)))+P1(f317(f317(f224(f907(x98501,a897)),f876(x98502,x98503,x98501,x98504,x98505)),x98502))
% 199.17/199.23 [9925]~P1(f317(f317(f319(f906(f907(x99251,a897),f907(x99251,a897))),f317(f317(f242(f907(x99251,a897),f907(x99251,a897)),x99254),x99253)),f308(x99251,x99252)))+~P1(f317(f317(f319(x99251),x99255),x99254))+P1(f317(f317(f319(x99251),f592(x99252,x99253,x99254,x99251,x99255)),x99253))
% 199.17/199.23 [9934]~P108(x99342)+E(f317(f317(f138(x99341,x99342,x99343),x99344),x99345),f317(f317(f141(x99341),x99344),x99345))+~P1(f317(f317(f224(x99342),f317(x99343,x99344)),f317(x99343,f725(x99344,x99343,x99345,x99341,x99342))))
% 199.17/199.23 [9981]~P22(x99813,x99814,x99815,f232(f907(x99813,a897)))+P1(f317(x99811,x99812))+~P1(f317(x99811,f317(f85(x99813,x99814,f232(f907(x99813,a897)),x99815),f794(x99812,x99811,x99815,x99814,x99813))))
% 199.17/199.23 [10104]P31(x101041,x101042,x101043,x101044,x101045)+~E(f317(f180(f902(x101041)),x101044),f317(f180(f902(x101042)),x101045))+~P1(f317(f317(x101043,f317(f317(f154(x101041),x101044),f683(x101045,x101044,x101043,x101042,x101041))),f317(f317(f154(x101042),x101045),f683(x101045,x101044,x101043,x101042,x101041))))
% 199.17/199.23 [10105]P31(x101051,x101052,x101053,x101054,x101055)+~E(f317(f180(f902(x101051)),x101054),f317(f180(f902(x101052)),x101055))+~P1(f317(f317(x101053,f317(f317(f154(x101051),x101054),f718(x101053,x101055,x101052,x101054,x101051))),f317(f317(f154(x101052),x101055),f718(x101053,x101055,x101052,x101054,x101051))))
% 199.17/199.23 [6669]~P15(x66692,x66695,x66691)+~P1(f317(f28(x66692),x66694))+E(f317(x66691,f317(f317(f299(x66692),x66693),x66694)),f317(f317(f58(x66692,x66692,x66695),x66693),x66694))
% 199.17/199.23 [6670]~E(x66703,x66704)+~E(x66702,x66705)+E(f317(f317(f299(x66701),x66702),f317(f317(f299(x66701),x66703),f179(f907(x66701,a897)))),f317(f317(f299(x66701),x66704),f317(f317(f299(x66701),x66705),f179(f907(x66701,a897)))))
% 199.17/199.23 [6681]P1(f317(x66812,x66815))+E(f167(x66811,x66812,f317(f317(f124(x66811),x66813),x66814)),f167(x66811,x66812,x66813))+~P1(f317(f317(f319(x66811),x66815),f317(f162(x66811),x66813)))
% 199.17/199.23 [6719]E(f317(x67191,x67192),f179(f907(x67193,a897)))+~E(f317(f317(f35(x67194,f907(x67193,a897)),x67195),x67191),f179(f907(x67193,a897)))+~P1(f317(f317(f319(x67194),x67192),x67195))
% 199.17/199.23 [6720]E(f317(x67201,x67202),f232(f907(x67203,a897)))+~E(f317(f317(f34(x67204,f907(x67203,a897)),x67205),x67201),f232(f907(x67203,a897)))+~P1(f317(f317(f319(x67204),x67202),x67205))
% 199.17/199.23 [7228]~E(x72282,x72284)+~P143(x72281)+E(f317(f317(f74(x72281),f317(f317(f75(x72281),x72282),x72283)),f317(f317(f75(x72281),x72284),x72285)),f317(f317(f74(x72281),f317(f317(f75(x72281),x72282),x72285)),f317(f317(f75(x72281),x72284),x72283)))
% 199.17/199.23 [7290]~P3(x72901)+~P1(f317(f317(f319(x72904),x72903),x72905))+P1(f317(f317(f224(x72901),f317(x72902,x72903)),f317(f317(f35(x72904,x72901),x72905),x72902)))
% 199.17/199.23 [7341]~P107(x73411)+P1(f317(f317(f224(x73411),f317(x73412,x73413)),f317(x73414,x73413)))+~P1(f317(f317(f224(f907(x73415,x73411)),x73412),x73414))
% 199.17/199.23 [7455]E(x74551,x74552)+E(x74553,x74551)+~E(f317(f317(f299(x74554),x74551),f317(f317(f299(x74554),x74555),f179(f907(x74554,a897)))),f317(f317(f299(x74554),x74552),f317(f317(f299(x74554),x74553),f179(f907(x74554,a897)))))
% 199.17/199.23 [7456]E(x74561,x74562)+E(x74563,x74561)+~E(f317(f317(f299(x74564),x74563),f317(f317(f299(x74564),x74562),f179(f907(x74564,a897)))),f317(f317(f299(x74564),x74565),f317(f317(f299(x74564),x74561),f179(f907(x74564,a897)))))
% 199.17/199.23 [7457]E(x74571,x74572)+E(x74571,x74573)+~E(f317(f317(f299(x74574),x74573),f317(f317(f299(x74574),x74572),f179(f907(x74574,a897)))),f317(f317(f299(x74574),x74575),f317(f317(f299(x74574),x74571),f179(f907(x74574,a897)))))
% 199.17/199.23 [7458]E(x74581,x74582)+E(x74581,x74583)+~E(f317(f317(f299(x74584),x74581),f317(f317(f299(x74584),x74585),f179(f907(x74584,a897)))),f317(f317(f299(x74584),x74582),f317(f317(f299(x74584),x74583),f179(f907(x74584,a897)))))
% 199.17/199.23 [7984]P22(x79841,x79842,x79843,x79844)+~P22(x79841,x79842,x79843,x79845)+~P1(f317(f317(f224(f907(x79841,a897)),x79844),x79845))
% 199.17/199.23 [8014]~E(f317(x80143,x80145),x80144)+~P22(x80141,x80142,x80143,f232(f907(x80141,a897)))+E(f317(f85(x80141,x80142,f232(f907(x80141,a897)),x80143),x80144),x80145)
% 199.17/199.23 [8155]E(x81551,x81552)+~E(f317(f300(x81553,x81554,x81555),x81551),f317(f300(x81553,x81554,x81555),x81552))+~P22(x81553,x81554,x81555,f317(f317(f91(f907(x81553,a897)),x81551),x81552))
% 199.17/199.23 [8236]P1(f317(x82362,x82364))+E(f317(f317(f128(x82361),f317(f180(f902(x82361)),f167(x82361,x82362,x82363))),x82363),f317(f317(f141(x82361),x82364),x82365))+~E(f317(f317(f124(x82361),f167(x82361,x82362,x82363)),f317(f317(f141(x82361),x82364),x82365)),x82363)
% 199.17/199.23 [8264]~P22(x82641,x82642,x82643,x82645)+~P22(x82641,x82642,x82643,x82644)+P22(x82641,x82642,x82643,f317(f317(f92(f907(x82641,a897)),x82644),x82645))
% 199.17/199.24 [8370]~P72(x83701)+E(f317(f317(f74(x83701),f317(x83702,x83703)),f317(f155(x83701),f317(f317(f144(x83704,x83701),x83702),f160(x83704,x83703,x83705)))),f317(f155(x83701),f317(f317(f144(x83704,x83701),x83702),x83705)))+~P1(f317(f317(f319(x83704),x83703),f317(f162(x83704),x83705)))
% 199.17/199.24 [8455]~P108(x84551)+~P11(x84551,f317(f317(f144(x84552,x84551),x84553),x84555))+P11(x84551,f317(f317(f144(x84552,x84551),x84553),f317(f317(f138(x84552,x84551,x84553),x84554),x84555)))
% 199.17/199.24 [8538]~P3(x85381)+P1(f317(f317(f224(x85381),f317(f317(f34(x85382,x85381),x85383),x85384)),f317(f317(f34(x85382,x85381),x85385),x85384)))+~P1(f317(f317(f224(f907(x85382,a897)),x85385),x85383))
% 199.17/199.24 [8539]~P3(x85391)+P1(f317(f317(f224(x85391),f317(f317(f35(x85392,x85391),x85393),x85394)),f317(f317(f35(x85392,x85391),x85395),x85394)))+~P1(f317(f317(f224(f907(x85392,a897)),x85393),x85395))
% 199.17/199.24 [8573]~P108(x85733)+P1(f317(f127(x85731),x85732))+~P1(f317(f127(x85731),f317(f317(f138(x85731,x85733,x85734),x85735),x85732)))
% 199.17/199.24 [8717]~P108(x87171)+~P1(f317(f317(f319(x87172),x87173),f317(f162(x87172),x87174)))+~P1(f317(f127(x87172),f317(f317(f138(x87172,x87171,x87175),x87173),x87174)))
% 199.17/199.24 [8801]~P108(x88011)+P11(x88011,f317(f317(f144(x88012,x88011),x88013),x88014))+~P11(x88011,f317(f317(f144(x88012,x88011),x88013),f317(f317(f138(x88012,x88011,x88013),x88015),x88014)))
% 199.17/199.24 [8848]~P22(x88482,x88481,x88484,x88483)+E(f317(f300(x88481,x88482,f85(x88482,x88481,x88483,x88484)),f317(f300(x88482,x88481,x88484),x88485)),x88485)+~P1(f317(f317(f224(f907(x88482,a897)),x88485),x88483))
% 199.17/199.24 [8899]~P108(x88992)+E(f317(f317(f138(x88991,x88992,x88993),x88994),x88995),f139(x88991,x88992,x88993,x88994,x88995))+P1(f317(f317(f319(x88992),f317(x88993,x88994)),f317(f300(x88991,x88992,x88993),f317(f162(x88991),x88995))))
% 199.17/199.24 [8983]~P108(x89832)+E(f139(x89831,x89832,x89833,x89834,x89835),x89835)+~P1(f317(f317(f319(x89832),f317(x89833,x89834)),f317(f300(x89831,x89832,x89833),f317(f162(x89831),x89835))))
% 199.17/199.24 [8998]~P22(x89982,x89981,x89983,x89985)+P1(f317(f317(f225(f907(x89981,a897)),f317(f300(x89982,x89981,x89983),x89984)),f317(f300(x89982,x89981,x89983),x89985)))+~P1(f317(f317(f225(f907(x89982,a897)),x89984),x89985))
% 199.17/199.24 [9151]~P22(x91511,x91512,x91513,f232(f907(x91511,a897)))+~P1(f317(f317(f224(f907(x91512,a897)),x91514),f317(f300(x91511,x91512,x91513),x91515)))+P1(f317(f317(f224(f907(x91511,a897)),f317(f301(x91511,x91512,x91513),x91514)),x91515))
% 199.17/199.24 [9172]~E(f317(f300(x91723,x91721,x91724),f232(f907(x91723,a897))),f232(f907(x91721,a897)))+P1(f317(f317(f224(f907(x91721,a897)),x91722),f317(f300(x91723,x91721,x91724),x91725)))+~P1(f317(f317(f224(f907(x91723,a897)),f317(f301(x91723,x91721,x91724),x91722)),x91725))
% 199.17/199.24 [9282]~P22(x92821,x92824,x92825,f232(f907(x92821,a897)))+~P1(f317(f317(f224(f907(x92824,a897)),f317(f300(x92821,x92824,x92825),x92822)),f317(f300(x92821,x92824,x92825),x92823)))+P1(f317(f317(f224(f907(x92821,a897)),x92822),x92823))
% 199.17/199.24 [9411]~P85(x94111)+~E(f317(x94113,f702(x94113,x94114,x94115,x94112,x94111)),f2(x94111))+E(f317(f155(x94111),f317(f317(f144(x94112,x94111),x94113),f317(f126(x94112,x94114),x94115))),f317(f155(x94111),f317(f317(f144(x94112,x94111),x94113),x94115)))
% 199.17/199.24 [9438]~P23(x94381,x94382,x94383,f232(f907(x94381,a897)),f232(f907(x94382,a897)))+~P1(f317(f317(f224(f907(x94382,a897)),x94384),f317(f300(x94381,x94382,x94383),x94385)))+P1(f317(f317(f224(f907(x94381,a897)),f317(f301(x94381,x94382,x94383),x94384)),x94385))
% 199.17/199.24 [9467]~P23(x94673,x94671,x94674,f232(f907(x94673,a897)),f232(f907(x94671,a897)))+P1(f317(f317(f224(f907(x94671,a897)),x94672),f317(f300(x94673,x94671,x94674),x94675)))+~P1(f317(f317(f224(f907(x94673,a897)),f317(f301(x94673,x94671,x94674),x94672)),x94675))
% 199.17/199.24 [9597]~P14(x95971,x95972,x95973)+~P1(f317(f28(x95971),x95975))+P1(f317(f60(x95971,x95972,x95973,x95974,x95975),f317(f317(f58(x95971,x95972,x95973),x95974),x95975)))
% 199.17/199.24 [9690]~P23(x96902,x96901,x96904,f232(f907(x96902,a897)),f232(f907(x96901,a897)))+~P23(x96901,x96903,x96905,f232(f907(x96901,a897)),f232(f907(x96903,a897)))+E(f317(f67(x96901,x96902,x96903,f85(x96902,x96901,f232(f907(x96902,a897)),x96904)),f85(x96901,x96903,f232(f907(x96901,a897)),x96905)),f85(x96902,x96903,f232(f907(x96902,a897)),f317(f67(x96901,x96903,x96902,x96905),x96904)))
% 199.17/199.24 [9691]P1(f317(x96911,f626(x96912,x96911,x96913,x96914,x96915)))+~P1(f317(f317(f224(f907(x96915,a897)),x96914),x96913))+P1(f317(f317(f224(f907(x96915,a897)),f317(f317(f92(f907(x96915,a897)),x96914),f317(f252(x96915),x96911))),f317(f317(f92(f907(x96915,a897)),x96913),f317(f252(x96915),x96912))))
% 199.17/199.24 [9705]~P85(x97051)+~P1(f317(x97054,f702(x97053,x97054,x97055,x97052,x97051)))+E(f317(f155(x97051),f317(f317(f144(x97052,x97051),x97053),f317(f126(x97052,x97054),x97055))),f317(f155(x97051),f317(f317(f144(x97052,x97051),x97053),x97055)))
% 199.17/199.24 [9795]~P3(x97955)+P1(f317(f317(f319(x97951),f473(x97952,x97953,x97951,x97954,x97955)),x97953))+P1(f317(f317(f224(x97955),x97954),f317(f317(f34(x97951,x97955),x97953),x97952)))
% 199.17/199.24 [9799]~P85(x97991)+E(f317(f155(x97991),f317(f317(f144(x97992,x97991),x97993),f317(f126(x97992,x97994),x97995))),f317(f155(x97991),f317(f317(f144(x97992,x97991),x97993),x97995)))+P1(f317(f317(f319(x97992),f702(x97993,x97994,x97995,x97992,x97991)),f317(f162(x97992),x97995)))
% 199.17/199.24 [9806]~P1(f317(x98065,f626(x98065,x98063,x98064,x98062,x98061)))+~P1(f317(f317(f224(f907(x98061,a897)),x98062),x98064))+P1(f317(f317(f224(f907(x98061,a897)),f317(f317(f92(f907(x98061,a897)),x98062),f317(f252(x98061),x98063))),f317(f317(f92(f907(x98061,a897)),x98064),f317(f252(x98061),x98065))))
% 199.17/199.24 [9822]~P22(x98225,x98223,x98224,f232(f907(x98225,a897)))+P1(f317(x98221,x98222))+P1(f317(f317(f319(x98223),f794(x98222,x98221,x98224,x98223,x98225)),f317(f300(x98225,x98223,x98224),f232(f907(x98225,a897)))))
% 199.17/199.24 [9846]P31(x98461,x98462,x98463,x98464,x98465)+~E(f317(f180(f902(x98462)),x98465),f317(f180(f902(x98461)),x98464))+P1(f317(f317(f225(a901),f683(x98465,x98464,x98463,x98462,x98461)),f317(f180(f902(x98461)),x98464)))
% 199.17/199.24 [9847]P31(x98471,x98472,x98473,x98474,x98475)+~E(f317(f180(f902(x98472)),x98475),f317(f180(f902(x98471)),x98474))+P1(f317(f317(f225(a901),f718(x98473,x98475,x98472,x98474,x98471)),f317(f180(f902(x98471)),x98474)))
% 199.17/199.24 [9879]P1(f317(f317(f319(x98791),f626(x98792,x98793,x98794,x98795,x98791)),x98795))+~P1(f317(f317(f224(f907(x98791,a897)),x98795),x98794))+P1(f317(f317(f224(f907(x98791,a897)),f317(f317(f92(f907(x98791,a897)),x98795),f317(f252(x98791),x98793))),f317(f317(f92(f907(x98791,a897)),x98794),f317(f252(x98791),x98792))))
% 199.17/199.24 [9935]~P3(x99351)+~P1(f317(f317(f224(x99351),x99352),f317(x99355,f473(x99355,x99354,x99353,x99352,x99351))))+P1(f317(f317(f224(x99351),x99352),f317(f317(f34(x99353,x99351),x99354),x99355)))
% 199.17/199.24 [9970]~P79(x99701)+~P1(f317(f28(x99702),x99705))+E(f317(f317(f317(f59(x99701,x99702,f75(x99701)),f317(f317(f20(x99702,x99701,x99701),f317(f317(f10(x99701,f907(x99701,x99701),x99702),f75(x99701)),x99703)),x99704)),f72(x99701)),x99705),f317(f317(f75(x99701),f317(f317(f317(f59(x99701,x99702,f75(x99701)),x99703),f72(x99701)),x99705)),f317(f317(f317(f59(x99701,x99702,f75(x99701)),x99704),f72(x99701)),x99705)))
% 199.17/199.24 [10020]~P1(f317(f317(f319(f906(f907(x100201,a897),f907(x100201,a897))),f317(f317(f242(f907(x100201,a897),f907(x100201,a897)),x100205),x100204)),f308(x100201,x100203)))+~P1(f317(f317(f319(x100201),x100202),x100205))+P1(f317(f317(f319(f906(x100201,x100201)),f317(f317(f242(x100201,x100201),x100202),f592(x100203,x100204,x100205,x100201,x100202))),x100203))
% 199.17/199.24 [10138]~P1(f317(f317(f319(f906(f902(x101381),f902(x101381))),f317(f317(f242(f902(x101381),f902(x101381)),f317(f317(f124(x101381),x101385),x101382)),f317(f317(f124(x101381),x101385),x101383))),f137(x101381,x101384)))+P1(f317(f317(f319(f906(f902(x101381),f902(x101381))),f317(f317(f242(f902(x101381),f902(x101381)),x101382),x101383)),f137(x101381,x101384)))+P1(f317(f317(f319(f906(x101381,x101381)),f317(f317(f242(x101381,x101381),f671(x101384,x101383,x101382,x101385,x101381)),f671(x101384,x101383,x101382,x101385,x101381))),x101384))
% 199.17/199.24 [7344]~E(x73443,x73445)+E(f317(f317(f154(x73441),f317(f317(f149(x73441,x73442),x73443),x73444)),x73445),x73444)+~P1(f317(f317(f225(a901),x73443),f317(f180(f902(x73441)),x73442)))
% 199.17/199.24 [7451]~E(f317(f317(f124(x74511),x74512),x74514),f317(f317(f124(x74511),x74513),x74515))+E(f317(f317(f165(x74511),f317(f180(f902(x74511)),x74512)),x74513),x74512)+P1(f317(f317(f224(a901),f317(f180(f902(x74511)),x74513)),f317(f180(f902(x74511)),x74512)))
% 199.17/199.24 [7949]~E(f317(f317(f124(x79491),x79492),x79494),f317(f317(f124(x79491),x79493),x79495))+E(f317(f317(f165(x79491),f317(f180(f902(x79491)),x79492)),x79493),x79492)+~P1(f317(f317(f224(a901),f317(f180(f902(x79491)),x79492)),f317(f180(f902(x79491)),x79493)))
% 199.17/199.24 [7973]~P1(f317(f28(x79731),f317(x79734,x79735)))+~P1(f317(f317(f319(x79732),x79735),x79733))+P1(f317(f28(x79731),f317(f317(f34(x79732,f907(x79731,a897)),x79733),x79734)))
% 199.17/199.24 [8138]~P50(x81381,x81383,x81385)+~P50(x81381,x81382,x81384)+P50(x81381,f317(f317(f91(f907(x81381,a897)),x81382),x81383),f317(f317(f91(f907(f906(x81381,x81381),a897)),x81384),x81385))
% 199.17/199.24 [8139]~P50(x81391,x81393,x81395)+~P50(x81391,x81392,x81394)+P50(x81391,f317(f317(f92(f907(x81391,a897)),x81392),x81393),f317(f317(f92(f907(f906(x81391,x81391),a897)),x81394),x81395))
% 199.17/199.24 [8495]E(f317(f317(f242(x84951,x84952),f317(f317(f154(x84951),x84953),x84954)),f317(f317(f154(x84952),x84955),x84954)),f317(f317(f154(f906(x84951,x84952)),f317(f317(f171(x84951,x84952),x84953),x84955)),x84954))+~P1(f317(f317(f225(a901),x84954),f317(f180(f902(x84951)),x84953)))+~P1(f317(f317(f225(a901),x84954),f317(f180(f902(x84952)),x84955)))
% 199.17/199.24 [8648]~P50(x86481,x86483,x86484)+P1(f317(f317(f319(x86481),x86482),x86483))+~P1(f317(f317(f319(f906(x86481,x86481)),f317(f317(f242(x86481,x86481),x86485),x86482)),x86484))
% 199.17/199.24 [8649]~P50(x86491,x86493,x86494)+P1(f317(f317(f319(x86491),x86492),x86493))+~P1(f317(f317(f319(f906(x86491,x86491)),f317(f317(f242(x86491,x86491),x86492),x86495)),x86494))
% 199.17/199.24 [8650]~P6(x86501,x86503,x86504)+P1(f317(f317(f319(x86501),x86502),x86503))+~P1(f317(f317(f319(f906(x86501,x86501)),f317(f317(f242(x86501,x86501),x86505),x86502)),x86504))
% 199.17/199.24 [8651]~P6(x86511,x86513,x86514)+P1(f317(f317(f319(x86511),x86512),x86513))+~P1(f317(f317(f319(f906(x86511,x86511)),f317(f317(f242(x86511,x86511),x86512),x86515)),x86514))
% 199.17/199.24 [8925]~P6(x89251,x89255,x89252)+E(f317(f274(x89251,x89251,x89252),f317(f317(f299(x89251),x89253),f179(f907(x89251,a897)))),f317(f274(x89251,x89251,x89252),f317(f317(f299(x89251),x89254),f179(f907(x89251,a897)))))+~P1(f317(f317(f319(f906(x89251,x89251)),f317(f317(f242(x89251,x89251),x89253),x89254)),x89252))
% 199.17/199.24 [9111]P1(f317(x91111,x91112))+~P1(f317(f317(f319(x91113),x91112),x91115))+P1(f317(f317(f319(x91113),f337(x91111,x91114,x91115,x91113)),f317(f317(f91(f907(x91113,a897)),x91115),x91114)))
% 199.17/199.24 [9112]P1(f317(x91121,x91122))+~P1(f317(f317(f319(x91123),x91122),x91124))+P1(f317(f317(f319(x91123),f337(x91121,x91124,x91125,x91123)),f317(f317(f91(f907(x91123,a897)),x91125),x91124)))
% 199.17/199.24 [9120]~P1(f317(x91202,x91205))+~P1(f317(f317(f319(x91201),x91205),x91204))+P1(f317(f317(f319(x91201),f390(x91202,x91203,x91204,x91201)),f317(f317(f91(f907(x91201,a897)),x91204),x91203)))
% 199.17/199.24 [9121]~P1(f317(x91212,x91215))+~P1(f317(f317(f319(x91211),x91215),x91213))+P1(f317(f317(f319(x91211),f390(x91212,x91213,x91214,x91211)),f317(f317(f91(f907(x91211,a897)),x91214),x91213)))
% 199.17/199.24 [9136]~P1(f317(f317(f224(f907(x91361,a897)),x91363),x91365))+~P1(f317(f317(f224(f907(x91361,a897)),x91362),x91364))+P1(f317(f317(f224(f907(x91361,a897)),f317(f317(f91(f907(x91361,a897)),x91362),x91363)),f317(f317(f91(f907(x91361,a897)),x91364),x91365)))
% 199.17/199.24 [9137]~P1(f317(f317(f224(f907(x91371,a897)),x91375),x91373))+~P1(f317(f317(f224(f907(x91371,a897)),x91372),x91374))+P1(f317(f317(f224(f907(x91371,a897)),f317(f317(f3(f907(x91371,a897)),x91372),x91373)),f317(f317(f3(f907(x91371,a897)),x91374),x91375)))
% 199.17/199.24 [9138]~P1(f317(f317(f224(f907(x91381,a897)),x91383),x91385))+~P1(f317(f317(f224(f907(x91381,a897)),x91382),x91384))+P1(f317(f317(f224(f907(x91381,a897)),f317(f317(f92(f907(x91381,a897)),x91382),x91383)),f317(f317(f92(f907(x91381,a897)),x91384),x91385)))
% 199.17/199.24 [9225]P1(f317(f317(f319(f906(x92251,x92251)),f317(f317(f242(x92251,x92251),x92252),x92253)),f311(x92251,x92254,x92255)))+~P1(f317(f317(f224(a901),f317(x92254,x92252)),f317(x92254,x92253)))+~P1(f317(f317(f319(f906(x92251,x92251)),f317(f317(f242(x92251,x92251),x92252),x92253)),x92255))
% 199.17/199.24 [9425]P1(f317(f317(f319(f906(x94251,x94251)),f317(f317(f242(x94251,x94251),x94252),x94253)),f297(x94251,x94254)))+~P1(f317(f317(f319(f906(x94251,x94251)),f317(f317(f242(x94251,x94251),x94252),x94255)),f297(x94251,x94254)))+~P1(f317(f317(f319(f906(x94251,x94251)),f317(f317(f242(x94251,x94251),x94255),x94253)),x94254))
% 199.17/199.24 [9426]P1(f317(f317(f319(f906(x94261,x94261)),f317(f317(f242(x94261,x94261),x94262),x94263)),f297(x94261,x94264)))+~P1(f317(f317(f319(f906(x94261,x94261)),f317(f317(f242(x94261,x94261),x94265),x94263)),f297(x94261,x94264)))+~P1(f317(f317(f319(f906(x94261,x94261)),f317(f317(f242(x94261,x94261),x94262),x94265)),x94264))
% 199.17/199.24 [9524]E(x95241,x95242)+E(f317(a102,f607(x95243,x95244,x95241,x95242,x95245)),x95244)+~P1(f317(f317(f319(f906(x95245,x95245)),f317(f317(f242(x95245,x95245),x95242),x95241)),f317(f317(f173(f906(x95245,x95245),a897),x95244),x95243)))
% 199.17/199.24 [9525]E(x95251,x95252)+E(f317(a102,f613(x95253,x95254,x95251,x95252,x95255)),x95254)+~P1(f317(f317(f319(f906(x95255,x95255)),f317(f317(f242(x95255,x95255),x95252),x95251)),f317(f317(f173(f906(x95255,x95255),a897),x95254),x95253)))
% 199.17/199.24 [9526]E(x95261,f2(a901))+E(f317(a102,f607(x95262,x95261,x95263,x95264,x95265)),x95261)+~P1(f317(f317(f319(f906(x95265,x95265)),f317(f317(f242(x95265,x95265),x95264),x95263)),f317(f317(f173(f906(x95265,x95265),a897),x95261),x95262)))
% 199.17/199.24 [9527]E(x95271,f2(a901))+E(f317(a102,f613(x95272,x95271,x95273,x95274,x95275)),x95271)+~P1(f317(f317(f319(f906(x95275,x95275)),f317(f317(f242(x95275,x95275),x95274),x95273)),f317(f317(f173(f906(x95275,x95275),a897),x95271),x95272)))
% 199.17/199.24 [9548]P1(f317(f317(f319(f906(x95481,x95481)),f317(f317(f242(x95481,x95481),x95482),x95483)),f317(f317(f278(x95481,x95481,x95481),x95484),f297(x95481,x95484))))+~P1(f317(f317(f319(f906(x95481,x95481)),f317(f317(f242(x95481,x95481),x95482),x95485)),x95484))+~P1(f317(f317(f319(f906(x95481,x95481)),f317(f317(f242(x95481,x95481),x95485),x95483)),x95484))
% 199.17/199.24 [9556]~P1(f317(f317(f319(f906(x95561,x95561)),f317(f317(f242(x95561,x95561),x95562),x95565)),f297(x95561,x95564)))+P1(f317(f317(f319(f906(x95561,x95561)),f317(f317(f242(x95561,x95561),x95562),x95563)),f317(f317(f278(x95561,x95561,x95561),x95564),f297(x95561,x95564))))+~P1(f317(f317(f319(f906(x95561,x95561)),f317(f317(f242(x95561,x95561),x95565),x95563)),x95564))
% 199.17/199.24 [9591]~P6(x95911,x95915,x95912)+~P1(f317(f317(f319(f906(x95911,x95911)),f317(f317(f242(x95911,x95911),x95913),x95914)),x95912))+P1(f317(f317(f224(f907(x95911,a897)),f317(f274(x95911,x95911,x95912),f317(f317(f299(x95911),x95913),f179(f907(x95911,a897))))),f317(f274(x95911,x95911,x95912),f317(f317(f299(x95911),x95914),f179(f907(x95911,a897))))))
% 199.17/199.24 [9663]P1(f317(f317(f319(f906(x96631,x96631)),f317(f317(f242(x96631,x96631),x96632),x96633)),f317(f317(f278(x96631,x96631,x96631),x96634),f297(x96631,x96634))))+~P1(f317(f317(f319(f906(x96631,x96631)),f317(f317(f242(x96631,x96631),x96632),x96635)),f317(f317(f278(x96631,x96631,x96631),x96634),f297(x96631,x96634))))+~P1(f317(f317(f319(f906(x96631,x96631)),f317(f317(f242(x96631,x96631),x96635),x96633)),x96634))
% 199.17/199.24 [9664]P1(f317(f317(f319(f906(x96641,x96641)),f317(f317(f242(x96641,x96641),x96642),x96643)),f317(f317(f278(x96641,x96641,x96641),x96644),f297(x96641,x96644))))+~P1(f317(f317(f319(f906(x96641,x96641)),f317(f317(f242(x96641,x96641),x96645),x96643)),f317(f317(f278(x96641,x96641,x96641),x96644),f297(x96641,x96644))))+~P1(f317(f317(f319(f906(x96641,x96641)),f317(f317(f242(x96641,x96641),x96642),x96645)),x96644))
% 199.17/199.24 [9712]~P1(f317(f60(x97121,x97121,x97124,x97122,x97123),x97125))+P1(f317(f317(f319(x97121),x97122),x97123))+P1(f317(f56(x97121,x97124,f317(f317(f299(x97121),x97122),x97123)),x97125))
% 199.17/199.24 [9757]~E(f317(f300(x97573,x97572,x97575),x97574),x97571)+E(x97571,f179(f907(x97572,a897)))+P1(f317(f317(f224(f907(x97573,a897)),f317(f300(x97572,x97573,f500(x97574,x97573,x97572,x97571)),x97571)),x97574))
% 199.17/199.24 [9809]~P3(x98095)+P1(f317(f317(f319(x98091),f475(x98092,x98093,x98094,x98091,x98095)),x98094))+P1(f317(f317(f224(x98095),f317(f317(f35(x98091,x98095),x98094),x98093)),x98092))
% 199.17/199.24 [9866]P31(x98661,x98662,x98663,x98664,x98665)+~E(f317(f180(f902(x98661)),x98664),f317(f180(f902(x98662)),x98665))+P1(f317(f317(f319(f906(x98661,x98662)),f681(x98665,x98664,x98663,x98662,x98661)),f317(f162(f906(x98661,x98662)),f317(f317(f171(x98661,x98662),x98664),x98665))))
% 199.17/199.24 [9867]P31(x98671,x98672,x98673,x98674,x98675)+~E(f317(f180(f902(x98671)),x98674),f317(f180(f902(x98672)),x98675))+P1(f317(f317(f319(f906(x98671,x98672)),f682(x98673,x98675,x98674,x98672,x98671)),f317(f162(f906(x98671,x98672)),f317(f317(f171(x98671,x98672),x98674),x98675))))
% 199.17/199.24 [9999]E(x99991,x99992)+P1(f317(f317(f319(f906(x99993,x99993)),f317(f317(f242(x99993,x99993),x99991),f608(x99994,x99995,x99992,x99991,x99993))),x99994))+~P1(f317(f317(f319(f906(x99993,x99993)),f317(f317(f242(x99993,x99993),x99991),x99992)),f317(f317(f173(f906(x99993,x99993),a897),x99995),x99994)))
% 199.17/199.24 [10000]E(x100001,f2(a901))+P1(f317(f317(f319(f906(x100002,x100002)),f317(f317(f242(x100002,x100002),x100003),f608(x100004,x100001,x100005,x100003,x100002))),x100004))+~P1(f317(f317(f319(f906(x100002,x100002)),f317(f317(f242(x100002,x100002),x100003),x100005)),f317(f317(f173(f906(x100002,x100002),a897),x100001),x100004)))
% 199.17/199.24 [10036]~P3(x100361)+~P1(f317(f317(f224(x100361),f317(x100364,f475(x100365,x100364,x100363,x100362,x100361))),x100365))+P1(f317(f317(f224(x100361),f317(f317(f35(x100362,x100361),x100363),x100364)),x100365))
% 199.17/199.24 [10071]E(x100711,x100712)+P1(f317(f317(f319(f906(x100713,x100713)),f317(f317(f242(x100713,x100713),f609(x100714,x100715,x100711,x100712,x100713)),x100711)),x100714))+~P1(f317(f317(f319(f906(x100713,x100713)),f317(f317(f242(x100713,x100713),x100712),x100711)),f317(f317(f173(f906(x100713,x100713),a897),x100715),x100714)))
% 199.17/199.24 [10072]E(x100721,f2(a901))+P1(f317(f317(f319(f906(x100722,x100722)),f317(f317(f242(x100722,x100722),f609(x100723,x100721,x100724,x100725,x100722)),x100724)),x100723))+~P1(f317(f317(f319(f906(x100722,x100722)),f317(f317(f242(x100722,x100722),x100725),x100724)),f317(f317(f173(f906(x100722,x100722),a897),x100721),x100723)))
% 199.17/199.24 [10082]E(x100821,x100822)+P1(f317(f317(f319(f906(x100823,x100823)),f317(f317(f242(x100823,x100823),x100821),f609(x100824,x100825,x100822,x100821,x100823))),f317(f317(f173(f906(x100823,x100823),a897),f613(x100824,x100825,x100822,x100821,x100823)),x100824)))+~P1(f317(f317(f319(f906(x100823,x100823)),f317(f317(f242(x100823,x100823),x100821),x100822)),f317(f317(f173(f906(x100823,x100823),a897),x100825),x100824)))
% 199.17/199.24 [10083]E(x100831,f2(a901))+P1(f317(f317(f319(f906(x100832,x100832)),f317(f317(f242(x100832,x100832),x100833),f609(x100834,x100831,x100835,x100833,x100832))),f317(f317(f173(f906(x100832,x100832),a897),f613(x100834,x100831,x100835,x100833,x100832)),x100834)))+~P1(f317(f317(f319(f906(x100832,x100832)),f317(f317(f242(x100832,x100832),x100833),x100835)),f317(f317(f173(f906(x100832,x100832),a897),x100831),x100834)))
% 199.17/199.24 [10130]E(x101301,x101302)+P1(f317(f317(f319(f906(x101303,x101303)),f317(f317(f242(x101303,x101303),f608(x101304,x101305,x101301,x101302,x101303)),x101301)),f317(f317(f173(f906(x101303,x101303),a897),f607(x101304,x101305,x101301,x101302,x101303)),x101304)))+~P1(f317(f317(f319(f906(x101303,x101303)),f317(f317(f242(x101303,x101303),x101302),x101301)),f317(f317(f173(f906(x101303,x101303),a897),x101305),x101304)))
% 199.17/199.24 [10131]E(x101311,f2(a901))+P1(f317(f317(f319(f906(x101312,x101312)),f317(f317(f242(x101312,x101312),f608(x101313,x101311,x101314,x101315,x101312)),x101314)),f317(f317(f173(f906(x101312,x101312),a897),f607(x101313,x101311,x101314,x101315,x101312)),x101313)))+~P1(f317(f317(f319(f906(x101312,x101312)),f317(f317(f242(x101312,x101312),x101315),x101314)),f317(f317(f173(f906(x101312,x101312),a897),x101311),x101313)))
% 199.17/199.24 [10166]~P72(x101662)+~P1(f317(f28(x101661),x101665))+E(f317(f317(f8(x101661,x101662),f317(f317(f9(x101661,x101662,x101662),f317(f317(f20(x101661,x101662,f907(x101662,x101662)),f317(f317(f10(a897,f907(x101662,f907(x101662,x101662)),x101661),f86(x101662)),f317(f317(f9(x101661,f907(x101661,a897),a897),f319(x101661)),x101663))),x101664)),f2(x101662))),x101665),f317(f317(f8(x101661,x101662),x101664),f317(f317(f92(f907(x101661,a897)),x101665),x101663)))
% 199.17/199.24 [8714]~P72(x87141)+~P1(f317(f28(x87144),x87145))+E(f317(f317(f74(x87141),f317(x87142,x87143)),f317(f317(f8(x87144,x87141),x87142),f317(f317(f3(f907(x87144,a897)),x87145),f317(f317(f299(x87144),x87143),f179(f907(x87144,a897)))))),f317(f317(f8(x87144,x87141),x87142),f317(f317(f299(x87144),x87143),x87145)))
% 199.17/199.24 [8715]~P79(x87151)+~P1(f317(f28(x87154),x87155))+E(f317(f317(f75(x87151),f317(x87152,x87153)),f317(f317(f11(x87154,x87151),x87152),f317(f317(f3(f907(x87154,a897)),x87155),f317(f317(f299(x87154),x87153),f179(f907(x87154,a897)))))),f317(f317(f11(x87154,x87151),x87152),f317(f317(f299(x87154),x87153),x87155)))
% 199.17/199.24 [9044]~P108(x90442)+~P11(x90442,f317(f158(x90442),f317(f317(f144(x90441,x90442),x90444),x90445)))+E(f317(f126(x90441,f317(f317(f10(x90442,a897,x90441),f317(f225(x90442),x90443)),x90444)),x90445),f167(x90441,f317(f317(f10(x90442,a897,x90441),f317(f225(x90442),x90443)),x90444),x90445))
% 199.17/199.24 [9068]~P72(x90681)+E(f317(f317(f74(x90681),f317(f317(f8(a901,x90681),x90682),f294(a901,x90683,x90684))),f317(f317(f8(a901,x90681),x90682),f294(a901,f317(f317(f74(a901),x90684),f72(a901)),f317(f317(f74(a901),x90684),x90685)))),f317(f317(f8(a901,x90681),x90682),f294(a901,x90683,f317(f317(f74(a901),x90684),x90685))))+~P1(f317(f317(f224(a901),x90683),f317(f317(f74(a901),x90684),f72(a901))))
% 199.17/199.24 [9069]~P1(f317(f317(f319(x90691),x90694),x90695))+~P1(f317(f317(f224(f907(x90691,a897)),f317(f162(x90691),x90692)),x90695))+P1(f317(f317(f224(f907(x90691,a897)),f317(f162(x90691),f317(f317(f149(x90691,x90692),x90693),x90694))),x90695))
% 199.17/199.24 [9291]~P3(x92912)+~P1(f317(f28(x92911),x92915))+E(f317(f317(f58(x92911,x92912,f317(f317(f10(x92912,f907(x92912,x92912),x92911),f91(x92912)),x92913)),x92914),x92915),f317(f317(f91(x92912),x92914),f317(f317(f35(x92911,x92912),x92915),x92913)))
% 199.17/199.24 [9292]~P3(x92922)+~P1(f317(f28(x92921),x92925))+E(f317(f317(f58(x92921,x92922,f317(f317(f10(x92922,f907(x92922,x92922),x92921),f92(x92922)),x92923)),x92924),x92925),f317(f317(f92(x92922),x92924),f317(f317(f34(x92921,x92922),x92925),x92923)))
% 199.17/199.24 [9342]E(f317(x93421,x93422),f317(x93421,x93423))+P1(f317(f317(f225(a901),f317(x93421,x93422)),f317(x93421,x93423)))+~P1(f317(f317(f319(f906(x93424,x93424)),f317(f317(f242(x93424,x93424),x93422),x93423)),f143(x93424,f317(f317(f141(f907(x93424,a901)),x93421),x93425))))
% 199.17/199.24 [9376]~E(f317(x93764,x93762),f317(x93764,x93763))+~P1(f317(f317(f319(f906(x93761,x93761)),f317(f317(f242(x93761,x93761),x93762),x93763)),f143(x93761,x93765)))+P1(f317(f317(f319(f906(x93761,x93761)),f317(f317(f242(x93761,x93761),x93762),x93763)),f143(x93761,f317(f317(f141(f907(x93761,a901)),x93764),x93765))))
% 199.17/199.24 [9396]~P22(x93961,x93962,x93963,x93965)+P22(x93961,x93962,x93963,f317(f317(f299(x93961),x93964),x93965))+P1(f317(f317(f319(x93962),f317(x93963,x93964)),f317(f300(x93961,x93962,x93963),f317(f317(f3(f907(x93961,a897)),x93965),f317(f317(f299(x93961),x93964),f179(f907(x93961,a897)))))))
% 199.17/199.24 [9401]P1(f317(x94012,x94015))+~P1(f317(f317(f319(x94011),x94015),f317(f162(x94011),x94013)))+E(f317(f317(f128(x94011),f317(f180(f902(x94011)),f167(x94011,x94012,f317(f317(f124(x94011),x94013),x94014)))),f317(f317(f124(x94011),x94013),x94014)),f317(f317(f124(x94011),f317(f317(f128(x94011),f317(f180(f902(x94011)),f167(x94011,x94012,x94013))),x94013)),x94014))
% 199.17/199.24 [9407]~P1(f317(f317(f319(f906(x94071,x94071)),f317(f317(f242(x94071,x94071),x94072),x94073)),f143(x94071,x94075)))+~P1(f317(f317(f224(a901),f317(x94074,x94072)),f317(x94074,x94073)))+P1(f317(f317(f319(f906(x94071,x94071)),f317(f317(f242(x94071,x94071),x94072),x94073)),f143(x94071,f317(f317(f141(f907(x94071,a901)),x94074),x94075))))
% 199.17/199.24 [9474]P1(f317(f317(f319(f906(x94744,x94744)),f317(f317(f242(x94744,x94744),x94742),x94743)),f143(x94744,x94745)))+P1(f317(f317(f225(a901),f317(x94741,x94742)),f317(x94741,x94743)))+~P1(f317(f317(f319(f906(x94744,x94744)),f317(f317(f242(x94744,x94744),x94742),x94743)),f143(x94744,f317(f317(f141(f907(x94744,a901)),x94741),x94745))))
% 199.17/199.24 [9625]~P1(f317(f317(f319(f906(f902(x96251),f902(x96251))),f317(f317(f242(f902(x96251),f902(x96251)),x96252),x96254)),f148(x96251,x96255)))+~P1(f317(f317(f225(a901),x96253),f317(f180(f902(x96251)),x96252)))+P1(f317(f317(f319(f906(x96251,x96251)),f317(f317(f242(x96251,x96251),f317(f317(f154(x96251),x96252),x96253)),f317(f317(f154(x96251),x96254),x96253))),x96255))
% 199.17/199.24 [9893]E(x98931,f2(a1))+~P1(f317(f44(x98933,x98931),f317(f317(f242(a1,a1),x98934),x98935)))+P1(f317(f44(f317(f317(f75(a1),x98932),x98933),x98931),f317(f317(f242(a1,a1),f317(f317(f74(a1),f317(f317(f75(a1),x98932),x98934)),f317(f317(f30(a1),f317(f317(f75(a1),x98932),x98935)),x98931))),f40(a1,f317(f317(f75(a1),x98932),x98935),x98931))))
% 199.17/199.24 [9900]~P1(f317(f317(f225(a901),f2(a901)),x99003))+~P1(f317(f43(x99002,x99003),f317(f317(f242(a901,a901),x99004),x99005)))+P1(f317(f43(f317(f317(f75(a901),x99001),x99002),x99003),f317(f317(f242(a901,a901),f317(f317(f74(a901),f317(f317(f75(a901),x99001),x99004)),f317(f317(f30(a901),f317(f317(f75(a901),x99001),x99005)),x99003))),f40(a901,f317(f317(f75(a901),x99001),x99005),x99003))))
% 199.17/199.24 [10184]~P72(x101842)+~P1(f317(f28(x101841),x101844))+E(f317(f317(f8(x101841,x101842),x101843),f317(f252(x101841),f317(f317(f20(x101841,a897,a897),f317(f317(f10(a897,f907(a897,a897),x101841),a315),f317(f317(f9(x101841,f907(x101841,a897),a897),f319(x101841)),x101844))),f317(f317(f9(x101841,f907(x101841,a897),a897),f319(x101841)),x101845)))),f317(f317(f8(x101841,x101842),f317(f317(f9(x101841,x101842,x101842),f317(f317(f20(x101841,x101842,f907(x101842,x101842)),f317(f317(f10(a897,f907(x101842,f907(x101842,x101842)),x101841),f86(x101842)),f317(f317(f9(x101841,f907(x101841,a897),a897),f319(x101841)),x101845))),x101843)),f2(x101842))),x101844))
% 199.17/199.24 [8349]~E(f317(f317(f124(x83491),x83492),x83495),f317(f317(f124(x83491),x83493),x83494))+E(f317(f317(f124(x83491),f317(f317(f128(x83491),f317(f180(f902(x83491)),x83492)),x83493)),x83494),x83495)+P1(f317(f317(f224(a901),f317(f180(f902(x83491)),x83493)),f317(f180(f902(x83491)),x83492)))
% 199.17/199.24 [8541]~E(f317(f317(f124(x85412),x85413),x85411),f317(f317(f124(x85412),x85414),x85415))+E(x85411,f317(f317(f124(x85412),f317(f317(f128(x85412),f317(f180(f902(x85412)),x85413)),x85414)),x85415))+~P1(f317(f317(f224(a901),f317(f180(f902(x85412)),x85413)),f317(f180(f902(x85412)),x85414)))
% 199.17/199.24 [8631]~E(f317(f317(f74(a901),f317(f317(f75(a901),x86313),x86314)),x86311),f317(f317(f74(a901),f317(f317(f75(a901),x86312),x86314)),x86315))+~P1(f317(f317(f224(a901),x86313),x86312))+E(x86311,f317(f317(f74(a901),f317(f317(f75(a901),f317(f317(f3(a901),x86312),x86313)),x86314)),x86315))
% 199.17/199.24 [8632]~E(f317(f317(f74(a901),f317(f317(f75(a901),x86321),x86323)),x86324),f317(f317(f74(a901),f317(f317(f75(a901),x86322),x86323)),x86325))+~P1(f317(f317(f224(a901),x86322),x86321))+E(f317(f317(f74(a901),f317(f317(f75(a901),f317(f317(f3(a901),x86321),x86322)),x86323)),x86324),x86325)
% 199.17/199.24 [8792]E(f317(f317(f74(a901),f317(f317(f75(a901),x87921),x87922)),x87923),f317(f317(f74(a901),f317(f317(f75(a901),x87924),x87922)),x87925))+~P1(f317(f317(f224(a901),x87924),x87921))+~E(x87925,f317(f317(f74(a901),f317(f317(f75(a901),f317(f317(f3(a901),x87921),x87924)),x87922)),x87923))
% 199.17/199.24 [8793]E(f317(f317(f74(a901),f317(f317(f75(a901),x87931),x87932)),x87933),f317(f317(f74(a901),f317(f317(f75(a901),x87934),x87932)),x87935))+~P1(f317(f317(f224(a901),x87934),x87931))+~E(f317(f317(f74(a901),f317(f317(f75(a901),f317(f317(f3(a901),x87931),x87934)),x87932)),x87933),x87935)
% 199.17/199.24 [9689]~P61(x96892)+~P1(f317(f28(x96891),x96895))+E(f317(f317(f11(x96891,x96892),f317(f317(f20(x96891,x96892,x96892),f317(f317(f10(x96892,f907(x96892,x96892),x96891),f280(x96892)),x96893)),x96894)),x96895),f317(f317(f280(x96892),f317(f317(f11(x96891,x96892),x96893),x96895)),f317(f317(f11(x96891,x96892),x96894),x96895)))
% 199.17/199.24 [9828]~E(f616(x98285,x98284,x98283,x98282,x98281),f617(x98285,x98284,x98283,x98282,x98281))+P1(f317(f317(f319(f906(x98281,x98281)),f317(f317(f242(x98281,x98281),x98282),x98283)),f297(x98281,x98284)))+~P1(f317(f317(f319(f906(x98281,x98281)),f317(f317(f242(x98281,x98281),x98282),x98283)),f297(x98281,f317(f317(f91(f907(f906(x98281,x98281),a897)),x98284),x98285))))
% 199.17/199.24 [9829]~E(f618(x98295,x98294,x98293,x98292,x98291),f619(x98295,x98294,x98293,x98292,x98291))+P1(f317(f317(f319(f906(x98291,x98291)),f317(f317(f242(x98291,x98291),x98292),x98293)),f297(x98291,x98294)))+~P1(f317(f317(f319(f906(x98291,x98291)),f317(f317(f242(x98291,x98291),x98292),x98293)),f297(x98291,f317(f317(f91(f907(f906(x98291,x98291),a897)),x98294),x98295))))
% 199.17/199.24 [10028]P1(f317(f317(f319(f906(x100281,x100281)),f317(f317(f242(x100281,x100281),x100282),f617(x100285,x100284,x100283,x100282,x100281))),f297(x100281,x100284)))+P1(f317(f317(f319(f906(x100281,x100281)),f317(f317(f242(x100281,x100281),x100282),x100283)),f297(x100281,x100284)))+~P1(f317(f317(f319(f906(x100281,x100281)),f317(f317(f242(x100281,x100281),x100282),x100283)),f297(x100281,f317(f317(f91(f907(f906(x100281,x100281),a897)),x100284),x100285))))
% 199.17/199.24 [10101]P1(f317(f317(f319(f906(x101011,x101011)),f317(f317(f242(x101011,x101011),f619(x101015,x101014,x101013,x101012,x101011)),x101013)),f297(x101011,x101014)))+P1(f317(f317(f319(f906(x101011,x101011)),f317(f317(f242(x101011,x101011),x101012),x101013)),f297(x101011,x101014)))+~P1(f317(f317(f319(f906(x101011,x101011)),f317(f317(f242(x101011,x101011),x101012),x101013)),f297(x101011,f317(f317(f91(f907(f906(x101011,x101011),a897)),x101014),x101015))))
% 199.17/199.24 [10136]P1(f317(f317(f319(f906(x101361,x101361)),f317(f317(f242(x101361,x101361),x101362),x101363)),f297(x101361,x101364)))+P1(f317(f317(f319(f906(x101361,x101361)),f317(f317(f242(x101361,x101361),f617(x101365,x101364,x101363,x101362,x101361)),f616(x101365,x101364,x101363,x101362,x101361))),x101365))+~P1(f317(f317(f319(f906(x101361,x101361)),f317(f317(f242(x101361,x101361),x101362),x101363)),f297(x101361,f317(f317(f91(f907(f906(x101361,x101361),a897)),x101364),x101365))))
% 199.17/199.24 [10137]P1(f317(f317(f319(f906(x101371,x101371)),f317(f317(f242(x101371,x101371),x101372),x101373)),f297(x101371,x101374)))+P1(f317(f317(f319(f906(x101371,x101371)),f317(f317(f242(x101371,x101371),f618(x101375,x101374,x101373,x101372,x101371)),f619(x101375,x101374,x101373,x101372,x101371))),x101375))+~P1(f317(f317(f319(f906(x101371,x101371)),f317(f317(f242(x101371,x101371),x101372),x101373)),f297(x101371,f317(f317(f91(f907(f906(x101371,x101371),a897)),x101374),x101375))))
% 199.17/199.24 [10310]~P1(f317(f317(f319(f906(f902(x103101),f902(x103101))),f317(f317(f242(f902(x103101),f902(x103101)),x103104),x103105)),f148(x103101,x103102)))+~P1(f317(f317(f319(f906(x103101,x103101)),x103103),f317(f162(f906(x103101,x103101)),f317(f317(f171(x103101,x103101),x103104),x103105))))+P1(f317(f317(f247(x103101,x103101,a897),f317(f317(f9(x103101,f907(f906(x103101,x103101),a897),f907(x103101,a897)),f317(f317(f10(f907(x103101,f907(f907(f906(x103101,x103101),a897),a897)),f907(f907(f906(x103101,x103101),a897),f907(x103101,a897)),x103101),f9(x103101,f907(f906(x103101,x103101),a897),a897)),f317(f317(f10(f907(x103101,f906(x103101,x103101)),f907(x103101,f907(f907(f906(x103101,x103101),a897),a897)),x103101),f317(f10(f906(x103101,x103101),f907(f907(f906(x103101,x103101),a897),a897),x103101),f319(f906(x103101,x103101)))),f242(x103101,x103101)))),x103102)),x103103))
% 199.17/199.24 [9716]~P1(f317(f317(f224(a901),x97163),x97162))+~P1(f317(f317(f224(a901),f317(f317(f74(a901),f317(f317(f75(a901),x97163),x97164)),x97161)),f317(f317(f74(a901),f317(f317(f75(a901),x97162),x97164)),x97165)))+P1(f317(f317(f224(a901),x97161),f317(f317(f74(a901),f317(f317(f75(a901),f317(f317(f3(a901),x97162),x97163)),x97164)),x97165)))
% 199.17/199.24 [9717]~P1(f317(f317(f224(a901),x97173),x97172))+~P1(f317(f317(f225(a901),f317(f317(f74(a901),f317(f317(f75(a901),x97173),x97174)),x97171)),f317(f317(f74(a901),f317(f317(f75(a901),x97172),x97174)),x97175)))+P1(f317(f317(f225(a901),x97171),f317(f317(f74(a901),f317(f317(f75(a901),f317(f317(f3(a901),x97172),x97173)),x97174)),x97175)))
% 199.17/199.24 [9741]~P1(f317(f317(f224(a901),x97411),x97414))+P1(f317(f317(f224(a901),f317(f317(f74(a901),f317(f317(f75(a901),x97411),x97412)),x97413)),f317(f317(f74(a901),f317(f317(f75(a901),x97414),x97412)),x97415)))+~P1(f317(f317(f224(a901),x97413),f317(f317(f74(a901),f317(f317(f75(a901),f317(f317(f3(a901),x97414),x97411)),x97412)),x97415)))
% 199.17/199.24 [9742]~P1(f317(f317(f224(a901),x97421),x97424))+P1(f317(f317(f225(a901),f317(f317(f74(a901),f317(f317(f75(a901),x97421),x97422)),x97423)),f317(f317(f74(a901),f317(f317(f75(a901),x97424),x97422)),x97425)))+~P1(f317(f317(f225(a901),x97423),f317(f317(f74(a901),f317(f317(f75(a901),f317(f317(f3(a901),x97424),x97421)),x97422)),x97425)))
% 199.17/199.24 [9864]~P1(f317(f317(f224(a901),x98642),x98641))+~P1(f317(f317(f224(a901),f317(f317(f74(a901),f317(f317(f75(a901),x98641),x98643)),x98644)),f317(f317(f74(a901),f317(f317(f75(a901),x98642),x98643)),x98645)))+P1(f317(f317(f224(a901),f317(f317(f74(a901),f317(f317(f75(a901),f317(f317(f3(a901),x98641),x98642)),x98643)),x98644)),x98645))
% 199.17/199.24 [9865]~P1(f317(f317(f224(a901),x98652),x98651))+~P1(f317(f317(f225(a901),f317(f317(f74(a901),f317(f317(f75(a901),x98651),x98653)),x98654)),f317(f317(f74(a901),f317(f317(f75(a901),x98652),x98653)),x98655)))+P1(f317(f317(f225(a901),f317(f317(f74(a901),f317(f317(f75(a901),f317(f317(f3(a901),x98651),x98652)),x98653)),x98654)),x98655))
% 199.17/199.24 [9922]~P1(f317(f317(f224(a901),x99224),x99221))+P1(f317(f317(f224(a901),f317(f317(f74(a901),f317(f317(f75(a901),x99221),x99222)),x99223)),f317(f317(f74(a901),f317(f317(f75(a901),x99224),x99222)),x99225)))+~P1(f317(f317(f224(a901),f317(f317(f74(a901),f317(f317(f75(a901),f317(f317(f3(a901),x99221),x99224)),x99222)),x99223)),x99225))
% 199.17/199.24 [9923]~P1(f317(f317(f224(a901),x99234),x99231))+P1(f317(f317(f225(a901),f317(f317(f74(a901),f317(f317(f75(a901),x99231),x99232)),x99233)),f317(f317(f74(a901),f317(f317(f75(a901),x99234),x99232)),x99235)))+~P1(f317(f317(f225(a901),f317(f317(f74(a901),f317(f317(f75(a901),f317(f317(f3(a901),x99231),x99234)),x99232)),x99233)),x99235))
% 199.17/199.24 [10125]~P9(x101251,x101252,x101255,x101253)+~P1(f317(f317(f319(f906(x101251,x101251)),x101254),x101255))+P1(f317(f317(f247(x101251,x101251,a897),f317(f317(f9(x101251,f907(x101251,x101252),f907(x101251,a897)),f317(f317(f10(f907(x101252,a897),f907(f907(x101251,x101252),f907(x101251,a897)),x101251),f10(x101252,a897,x101251)),f317(f317(f10(x101252,f907(x101252,a897),x101251),a314),x101253))),x101253)),x101254))
% 199.17/199.24 [8507]~P17(x85076,x85071,x85072,x85074)+E(f317(f67(x85071,x85071,x85071,f317(x85072,x85073)),f317(x85074,x85075)),f317(f67(x85071,x85071,x85071,f317(x85074,x85075)),f317(x85072,x85073)))+~P1(f317(f28(x85076),x85075))
% 199.17/199.24 [8937]~P22(x89371,x89373,x89375,x89376)+~P22(x89373,x89372,x89374,f317(f300(x89371,x89373,x89375),x89376))+P22(x89371,x89372,f317(f67(x89373,x89372,x89371,x89374),x89375),x89376)
% 199.17/199.24 [9510]~P1(f317(f317(x95103,x95102),x95106))+~P1(f317(f317(x95104,x95105),x95102))+P1(f317(f317(f319(x95101),x95102),f289(x95101,x95103,x95104,x95105,x95106)))
% 199.17/199.24 [9511]~P1(f317(f317(x95114,x95112),x95116))+~P1(f317(f317(x95113,x95115),x95112))+P1(f317(f317(f319(x95111),x95112),f286(x95111,x95113,x95114,x95115,x95116)))
% 199.17/199.24 [9626]E(x96261,x96262)+E(x96263,x96264)+~P1(f317(f317(f319(f906(f902(x96265),f902(x96265))),f317(f317(f242(f902(x96265),f902(x96265)),f317(f317(f141(x96265),x96263),x96261)),f317(f317(f141(x96265),x96264),x96262))),f147(x96265,x96266)))
% 199.17/199.24 [9640]~E(x96402,x96404)+P1(f317(f317(f319(f906(f902(x96401),f902(x96401))),f317(f317(f242(f902(x96401),f902(x96401)),f317(f317(f141(x96401),x96402),x96403)),f317(f317(f141(x96401),x96404),x96405))),f135(x96401,x96406)))+~P1(f317(f317(f319(f906(f902(x96401),f902(x96401))),f317(f317(f242(f902(x96401),f902(x96401)),x96403),x96405)),f135(x96401,x96406)))
% 199.17/199.24 [9641]~E(x96412,x96414)+P1(f317(f317(f319(f906(f902(x96411),f902(x96411))),f317(f317(f242(f902(x96411),f902(x96411)),f317(f317(f141(x96411),x96412),x96413)),f317(f317(f141(x96411),x96414),x96415))),f137(x96411,x96416)))+~P1(f317(f317(f319(f906(f902(x96411),f902(x96411))),f317(f317(f242(f902(x96411),f902(x96411)),x96413),x96415)),f137(x96411,x96416)))
% 199.17/199.24 [9642]~E(x96422,x96424)+P1(f317(f317(f319(f906(f902(x96421),f902(x96421))),f317(f317(f242(f902(x96421),f902(x96421)),f317(f317(f141(x96421),x96422),x96423)),f317(f317(f141(x96421),x96424),x96425))),f147(x96421,x96426)))+~P1(f317(f317(f319(f906(f902(x96421),f902(x96421))),f317(f317(f242(f902(x96421),f902(x96421)),x96423),x96425)),f147(x96421,x96426)))
% 199.17/199.24 [9643]~E(x96432,x96434)+P1(f317(f317(f319(f906(f902(x96431),f902(x96431))),f317(f317(f242(f902(x96431),f902(x96431)),f317(f317(f124(x96431),x96432),x96433)),f317(f317(f124(x96431),x96434),x96435))),f147(x96431,x96436)))+~P1(f317(f317(f319(f906(f902(x96431),f902(x96431))),f317(f317(f242(f902(x96431),f902(x96431)),x96433),x96435)),f147(x96431,x96436)))
% 199.17/199.24 [9644]~E(x96443,x96445)+P1(f317(f317(f319(f906(f902(x96441),f902(x96441))),f317(f317(f242(f902(x96441),f902(x96441)),f317(f317(f124(x96441),x96442),x96443)),f317(f317(f124(x96441),x96444),x96445))),f147(x96441,x96446)))+~P1(f317(f317(f319(f906(f902(x96441),f902(x96441))),f317(f317(f242(f902(x96441),f902(x96441)),x96442),x96444)),f147(x96441,x96446)))
% 199.17/199.24 [9706]E(x97061,x97062)+P1(f317(f317(f319(f906(f902(x97063),f902(x97063))),f317(f317(f242(f902(x97063),f902(x97063)),x97061),x97062)),f147(x97063,x97064)))+~P1(f317(f317(f319(f906(f902(x97063),f902(x97063))),f317(f317(f242(f902(x97063),f902(x97063)),f317(f317(f141(x97063),x97065),x97061)),f317(f317(f141(x97063),x97066),x97062))),f147(x97063,x97064)))
% 199.17/199.24 [9868]~E(x98683,x98685)+P1(f317(f317(f319(f906(f902(x98681),f902(x98681))),f317(f317(f242(f902(x98681),f902(x98681)),f317(f317(f124(x98681),x98682),f317(f317(f141(x98681),x98683),f103(x98681)))),f317(f317(f124(x98681),x98684),f317(f317(f141(x98681),x98685),f103(x98681))))),f147(x98681,x98686)))+~P1(f317(f317(f319(f906(f902(x98681),f902(x98681))),f317(f317(f242(f902(x98681),f902(x98681)),x98682),x98684)),f147(x98681,x98686)))
% 199.17/199.24 [9926]E(x99261,x99262)+E(x99263,x99264)+~P1(f317(f317(f319(f906(f902(x99265),f902(x99265))),f317(f317(f242(f902(x99265),f902(x99265)),f317(f317(f124(x99265),x99263),f317(f317(f141(x99265),x99261),f103(x99265)))),f317(f317(f124(x99265),x99264),f317(f317(f141(x99265),x99262),f103(x99265))))),f147(x99265,x99266)))
% 199.17/199.24 [9949]E(x99491,x99492)+~P1(f317(f317(f319(f906(f902(x99493),f902(x99493))),f317(f317(f242(f902(x99493),f902(x99493)),f317(f317(f124(x99493),x99491),f317(f317(f141(x99493),x99495),f103(x99493)))),f317(f317(f124(x99493),x99492),f317(f317(f141(x99493),x99496),f103(x99493))))),f147(x99493,x99494)))+P1(f317(f317(f319(f906(f902(x99493),f902(x99493))),f317(f317(f242(f902(x99493),f902(x99493)),x99491),x99492)),f147(x99493,x99494)))
% 199.17/199.24 [9991]~P1(f317(f317(f319(f906(f907(x99911,a897),f907(x99911,a897))),f317(f317(f242(f907(x99911,a897),f907(x99911,a897)),x99912),x99914)),f308(x99911,x99916)))+~P1(f317(f317(f319(f906(f907(x99911,a897),f907(x99911,a897))),f317(f317(f242(f907(x99911,a897),f907(x99911,a897)),x99913),x99915)),f308(x99911,x99916)))+P1(f317(f317(f319(f906(f907(x99911,a897),f907(x99911,a897))),f317(f317(f242(f907(x99911,a897),f907(x99911,a897)),f317(f317(f91(f907(x99911,a897)),x99912),x99913)),f317(f317(f91(f907(x99911,a897)),x99914),x99915))),f308(x99911,x99916)))
% 199.17/199.24 [5739]~E(f317(f317(f124(x57391),x57396),x57393),x57395)+E(f317(f317(f124(x57391),x57392),x57393),f317(f317(f141(x57391),x57394),x57395))+~E(x57392,f317(f317(f141(x57391),x57394),x57396))
% 199.17/199.24 [5740]~E(f317(f317(f124(x57401),x57406),x57403),x57405)+E(f317(f317(f124(x57401),x57402),x57403),f317(f317(f124(x57401),x57404),x57405))+~E(x57402,f317(f317(f124(x57401),x57404),x57406))
% 199.17/199.24 [5742]E(f317(f317(f124(x57421),x57422),x57423),f317(f317(f141(x57421),x57424),x57425))+~E(f317(f317(f141(x57421),x57424),x57426),x57422)+~E(x57425,f317(f317(f124(x57421),x57426),x57423))
% 199.17/199.24 [5744]~E(f317(f317(f124(x57441),x57442),x57446),x57444)+E(f317(f317(f124(x57441),x57442),x57443),f317(f317(f124(x57441),x57444),x57445))+~E(x57443,f317(f317(f124(x57441),x57446),x57445))
% 199.17/199.24 [6905]E(f317(x69051,x69052),f317(x69053,x69052))+~E(f317(f317(f144(x69054,x69055),x69051),x69056),f317(f317(f144(x69054,x69055),x69053),x69056))+~P1(f317(f317(f319(x69054),x69052),f317(f162(x69054),x69056)))
% 199.17/199.24 [7291]~P17(x72914,x72915,x72916,x72911)+E(f317(f317(x72911,x72912),x72913),f317(f317(f58(x72914,x72915,x72916),x72913),x72912))+~P1(f317(f28(x72914),x72912))
% 199.17/199.24 [7362]~E(x73622,f317(x73624,x73626))+~P1(f317(f317(f319(x73623),x73626),x73625))+P1(f317(f317(f319(x73621),x73622),f317(f300(x73623,x73621,x73624),x73625)))
% 199.17/199.24 [7363]~E(f317(x73634,x73632),x73636)+~P1(f317(f317(f319(x73633),x73636),x73635))+P1(f317(f317(f319(x73631),x73632),f317(f301(x73631,x73633,x73634),x73635)))
% 199.17/199.24 [7801]~P29(x78011,x78012,x78014,x78016)+P29(x78011,x78012,f317(f317(f141(x78011),x78013),x78014),f317(f317(f141(x78011),x78015),x78016))+~P1(f317(f317(x78012,x78013),x78015))
% 199.17/199.24 [8802]~P54(x88024,x88025,x88021,x88022,x88026)+E(f317(x88021,f317(x88022,x88023)),x88023)+~P1(f317(f317(f319(x88025),x88023),x88026))
% 199.17/199.24 [9301]~P23(x93012,x93011,x93015,x93014,x93013)+E(f317(f85(x93011,x93012,x93013,f85(x93012,x93011,x93014,x93015)),x93016),f317(x93015,x93016))+~P1(f317(f317(f319(x93012),x93016),x93014))
% 199.17/199.24 [9312]~P22(x93121,x93122,x93123,x93126)+P22(x93121,x93122,f69(x93121,x93122,x93123,x93124,x93125),x93126)+P1(f317(f317(f319(x93122),x93125),f317(f300(x93121,x93122,x93123),x93126)))
% 199.17/199.24 [9629]E(x96291,x96292)+E(f317(f180(f902(x96293)),x96294),f317(f180(f902(x96293)),x96295))+~P1(f317(f317(f319(f906(f902(x96293),f902(x96293))),f317(f317(f242(f902(x96293),f902(x96293)),f317(f317(f141(x96293),x96291),x96294)),f317(f317(f141(x96293),x96292),x96295))),f135(x96293,x96296)))
% 199.17/199.24 [9701]~P14(x97011,x97012,x97013)+E(f317(f317(f58(x97011,x97012,x97013),x97014),x97015),x97016)+~P1(f317(f60(x97011,x97012,x97013,x97014,x97015),x97016))
% 199.17/199.24 [9707]E(f317(f180(f902(x97071)),x97072),f317(f180(f902(x97071)),x97073))+P1(f317(f317(f319(f906(f902(x97071),f902(x97071))),f317(f317(f242(f902(x97071),f902(x97071)),x97072),x97073)),f135(x97071,x97074)))+~P1(f317(f317(f319(f906(f902(x97071),f902(x97071))),f317(f317(f242(f902(x97071),f902(x97071)),f317(f317(f141(x97071),x97075),x97072)),f317(f317(f141(x97071),x97076),x97073))),f135(x97071,x97074)))
% 199.17/199.24 [9735]~P1(f317(f317(f319(f906(x97351,x97351)),f317(f317(f242(x97351,x97351),x97352),x97354)),f297(x97351,x97356)))+P1(f317(f317(f319(f906(f902(x97351),f902(x97351))),f317(f317(f242(f902(x97351),f902(x97351)),f317(f317(f141(x97351),x97352),x97353)),f317(f317(f141(x97351),x97354),x97355))),f297(f902(x97351),f147(x97351,x97356))))+~P1(f317(f317(f319(f906(f902(x97351),f902(x97351))),f317(f317(f242(f902(x97351),f902(x97351)),x97353),x97355)),f297(f902(x97351),f147(x97351,x97356))))
% 199.17/199.24 [9931]~P1(f317(x99312,x99316))+~E(f317(f126(x99311,x99312),x99313),f317(f317(f141(x99311),x99314),x99315))+~P1(f317(f317(f319(x99311),x99316),f317(f162(x99311),f726(x99315,x99314,x99313,x99312,x99311))))
% 199.17/199.24 [9932]~P1(f317(x99324,x99326))+~E(f317(f317(f141(x99321),x99322),x99323),f317(f126(x99321,x99324),x99325))+~P1(f317(f317(f319(x99321),x99326),f317(f162(x99321),f728(x99325,x99324,x99323,x99322,x99321))))
% 199.17/199.24 [10227]~P72(x102272)+E(f317(f317(f8(x102271,x102272),f317(f317(f10(f907(x102273,a897),x102272,x102271),f317(f8(x102273,x102272),x102274)),f317(f317(f10(f907(x102273,a897),f907(x102273,a897),x102271),f252(x102273)),f317(f317(f10(f907(x102273,a897),f907(x102273,a897),x102271),f317(f20(x102273,a897,a897),f317(f317(f10(a897,f907(a897,a897),x102273),a315),f317(f317(f9(x102273,f907(x102273,a897),a897),f319(x102273)),x102275)))),f317(f9(x102273,x102271,a897),f317(f317(f10(x102271,f907(x102271,a897),x102273),a314),x102276)))))),f317(f300(x102273,x102271,x102276),x102275)),f317(f317(f8(x102273,x102272),x102274),x102275))+~P1(f317(f28(x102273),x102275))
% 199.17/199.24 [6960]~P108(x69603)+P1(f317(x69602,x69605))+E(f317(f126(x69601,x69602),f317(f317(f138(x69601,x69603,x69604),x69605),x69606)),f317(f126(x69601,x69602),x69606))
% 199.17/199.24 [6962]P1(f317(x69621,x69622))+~E(f156(x69623,x69621,x69624),f317(f317(f242(f902(x69623),f902(x69623)),x69625),x69626))+~P1(f317(f317(f319(x69623),x69622),f317(f162(x69623),x69625)))
% 199.17/199.24 [7009]~P1(f317(x70092,x70096))+~E(f156(x70091,x70092,x70093),f317(f317(f242(f902(x70091),f902(x70091)),x70094),x70095))+~P1(f317(f317(f319(x70091),x70096),f317(f162(x70091),x70095)))
% 199.17/199.24 [7667]~P12(x76671,x76672,x76673)+~P1(f317(f28(x76671),x76676))+E(f317(f317(f58(x76671,x76672,x76673),x76674),f317(f317(f299(x76671),x76675),x76676)),f317(f317(f58(x76671,x76672,x76673),f317(f317(x76673,x76675),x76674)),x76676))
% 199.17/199.24 [7717]~P108(x77172)+~P1(f317(f317(f224(x77172),f317(x77173,x77174)),f317(x77173,x77175)))+E(f317(f317(f138(x77171,x77172,x77173),x77174),f317(f317(f141(x77171),x77175),x77176)),f317(f317(f141(x77171),x77174),f317(f317(f141(x77171),x77175),x77176)))
% 199.17/199.24 [7829]E(x78291,x78292)+~E(f317(f317(f244(x78293,x78294),x78291),f317(f18(f907(x78294,a897),x78293),x78295)),f317(f317(f244(x78293,x78294),x78292),f317(f18(f907(x78294,a897),x78293),x78295)))+~P1(f317(f317(f319(x78294),x78296),x78295))
% 199.17/199.24 [7899]~P12(x78991,x78992,x78993)+~P1(f317(f28(x78991),x78996))+E(f317(f317(f58(x78991,x78992,x78993),x78994),f317(f317(f299(x78991),x78995),x78996)),f317(f317(x78993,x78995),f317(f317(f58(x78991,x78992,x78993),x78994),x78996)))
% 199.17/199.24 [8015]~P14(x80151,x80152,x80153)+~P1(f317(f28(x80151),x80156))+E(f317(f317(f58(x80151,x80152,x80153),f317(f317(x80153,x80154),x80155)),x80156),f317(f317(x80153,x80154),f317(f317(f58(x80151,x80152,x80153),x80155),x80156)))
% 199.17/199.24 [8078]~P18(x80782,x80785,x80786,x80781)+~P1(f317(f28(x80782),x80784))+E(f317(x80781,f317(f317(f299(x80782),x80783),x80784)),f317(f67(x80785,x80785,x80785,f317(x80781,x80784)),f317(x80786,x80783)))
% 199.17/199.24 [8109]~P108(x81092)+P1(f317(f317(f224(x81092),f317(x81093,x81094)),f317(x81093,x81095)))+E(f317(f317(f138(x81091,x81092,x81093),x81094),f317(f317(f141(x81091),x81095),x81096)),f317(f317(f141(x81091),x81095),f317(f317(f138(x81091,x81092,x81093),x81094),x81096)))
% 199.17/199.24 [8257]~E(f317(f180(f902(x82571)),x82575),f317(f180(f902(x82572)),x82576))+~E(f317(f180(f902(x82571)),x82573),f317(f180(f902(x82572)),x82574))+E(f317(f317(f124(f906(x82571,x82572)),f317(f317(f171(x82571,x82572),x82573),x82574)),f317(f317(f171(x82571,x82572),x82575),x82576)),f317(f317(f171(x82571,x82572),f317(f317(f124(x82571),x82573),x82575)),f317(f317(f124(x82572),x82574),x82576)))
% 199.17/199.24 [8367]~E(x83672,f317(f300(x83673,x83671,x83674),x83676))+P1(f317(f317(f224(f907(x83671,a897)),x83672),f317(f300(x83673,x83671,x83674),x83675)))+~P1(f317(f317(f224(f907(x83673,a897)),x83676),x83675))
% 199.17/199.24 [8466]~P108(x84665)+E(f317(x84661,x84662),f317(x84661,x84663))+E(f317(f317(f138(x84664,x84665,x84661),x84662),f317(f317(f138(x84664,x84665,x84661),x84663),x84666)),f317(f317(f138(x84664,x84665,x84661),x84663),f317(f317(f138(x84664,x84665,x84661),x84662),x84666)))
% 199.17/199.24 [8640]~P1(f317(f317(f319(x86402),x86404),f317(x86406,x86403)))+~P1(f317(f317(f319(x86401),x86403),x86405))+P1(f317(f317(f319(f906(x86401,x86402)),f317(f317(f242(x86401,x86402),x86403),x86404)),f317(f317(f244(x86401,x86402),x86405),x86406)))
% 199.17/199.24 [9109]~P72(x91092)+~P22(x91094,x91091,x91095,x91096)+E(f317(f317(f8(x91091,x91092),x91093),f317(f300(x91094,x91091,x91095),x91096)),f317(f317(f8(x91094,x91092),f317(f67(x91091,x91092,x91094,x91093),x91095)),x91096))
% 199.17/199.24 [9110]~P79(x91102)+~P22(x91104,x91101,x91105,x91106)+E(f317(f317(f11(x91101,x91102),x91103),f317(f300(x91104,x91101,x91105),x91106)),f317(f317(f11(x91104,x91102),f317(f67(x91101,x91102,x91104,x91103),x91105)),x91106))
% 199.17/199.24 [9153]~P31(x91532,x91535,x91531,x91533,x91536)+P1(f317(f317(x91531,f317(f317(f154(x91532),x91533),x91534)),f317(f317(f154(x91535),x91536),x91534)))+~P1(f317(f317(f225(a901),x91534),f317(f180(f902(x91535)),x91536)))
% 199.17/199.24 [9154]~P31(x91542,x91545,x91541,x91543,x91546)+P1(f317(f317(x91541,f317(f317(f154(x91542),x91543),x91544)),f317(f317(f154(x91545),x91546),x91544)))+~P1(f317(f317(f225(a901),x91544),f317(f180(f902(x91542)),x91543)))
% 199.17/199.24 [9163]~E(f317(f300(x91631,x91632,x91633),x91634),x91636)+E(f317(f300(x91631,x91632,x91633),f317(f300(x91632,x91631,f85(x91631,x91632,x91634,x91633)),x91635)),x91635)+~P1(f317(f317(f224(f907(x91632,a897)),x91635),x91636))
% 199.17/199.24 [9371]~P17(x93713,x93711,x93716,x93712)+~P1(f317(f28(x93713),x93714))+E(f317(f67(x93711,x93711,x93711,f317(x93712,f317(f317(f3(f907(x93713,a897)),x93714),f317(f317(f299(x93713),x93715),f179(f907(x93713,a897)))))),f317(x93716,x93715)),f317(x93712,f317(f317(f299(x93713),x93715),x93714)))
% 199.17/199.24 [10011]~E(f317(f300(x100112,x100114,x100116),f232(f907(x100112,a897))),f232(f907(x100114,a897)))+~E(f317(f300(x100111,x100113,x100115),f232(f907(x100111,a897))),f232(f907(x100113,a897)))+E(f317(f300(f906(x100111,x100112),f906(x100113,x100114),f248(x100111,x100113,x100112,x100114,x100115,x100116)),f232(f907(f906(x100111,x100112),a897))),f232(f907(f906(x100113,x100114),a897)))
% 199.17/199.24 [10062]~P22(x100623,x100624,x100625,f317(x100626,f523(x100626,x100625,x100624,x100623,x100622,x100621)))+P22(x100623,x100624,x100625,f317(f317(f34(x100622,f907(x100623,a897)),x100621),x100626))+E(x100621,f179(f907(x100622,a897)))
% 199.17/199.24 [10108]P22(x101086,x101085,x101084,f317(f317(f34(x101082,f907(x101086,a897)),x101081),x101083))+E(x101081,f179(f907(x101082,a897)))+P1(f317(f317(f319(x101082),f523(x101083,x101084,x101085,x101086,x101082,x101081)),x101081))
% 199.17/199.24 [10111]P1(f317(f317(f319(x101111),f588(x101112,x101113,x101114,x101115,x101116,x101111)),x101116))+P1(f317(f317(f224(f907(f906(x101111,x101114),a897)),f317(f317(f244(x101111,x101114),x101116),x101113)),f317(f317(f244(x101111,x101114),x101115),x101112)))+~P1(f317(f317(f224(f907(x101111,a897)),x101116),x101115))
% 199.17/199.24 [10243]~P1(f317(f317(f224(f907(x102432,a897)),f317(x102434,f588(x102436,x102434,x102432,x102435,x102433,x102431))),f317(x102436,f588(x102436,x102434,x102432,x102435,x102433,x102431))))+~P1(f317(f317(f224(f907(x102431,a897)),x102433),x102435))+P1(f317(f317(f224(f907(f906(x102431,x102432),a897)),f317(f317(f244(x102431,x102432),x102433),x102434)),f317(f317(f244(x102431,x102432),x102435),x102436)))
% 199.17/199.24 [7852]~P1(f317(x78521,x78525))+~P1(f317(x78526,x78524))+P1(f317(x78521,f317(f246(x78522,x78523),f317(f317(f242(x78522,x78523),x78524),x78525))))
% 199.17/199.24 [7853]~P1(f317(x78531,x78534))+~P1(f317(x78536,x78535))+P1(f317(x78531,f317(f241(x78532,x78533),f317(f317(f242(x78532,x78533),x78534),x78535))))
% 199.17/199.24 [7904]~P1(f317(f317(x79044,x79046),x79045))+~P1(f317(f317(f319(x79041),x79046),x79043))+P1(f317(f317(f317(f35(x79041,f907(x79042,a897)),x79043),x79044),x79045))
% 199.17/199.24 [8206]~P1(f317(f317(f319(x82061),x82062),f317(x82065,x82066)))+~P1(f317(f317(f319(x82063),x82066),x82064))+P1(f317(f317(f319(x82061),x82062),f317(f317(f35(x82063,f907(x82061,a897)),x82064),x82065)))
% 199.17/199.24 [8251]P1(f317(f317(x82511,x82512),x82513))+~P1(f317(f317(x82514,x82512),x82513))+~P1(f317(f317(f224(f907(x82515,f907(x82516,a897))),x82514),x82511))
% 199.17/199.24 [8390]P1(f317(f317(x83901,x83902),x83903))+~P1(f317(f317(f319(x83904),x83902),x83905))+~P1(f317(f317(f317(f34(x83904,f907(x83906,a897)),x83905),x83901),x83903))
% 199.17/199.24 [8520]P1(f317(f317(f319(x85201),x85202),f317(x85203,x85204)))+~P1(f317(f317(f319(x85205),x85204),x85206))+~P1(f317(f317(f319(x85201),x85202),f317(f317(f34(x85205,f907(x85201,a897)),x85206),x85203)))
% 199.17/199.24 [8782]~P9(x87824,x87825,x87826,x87821)+E(f317(x87821,x87822),f317(x87821,x87823))+~P1(f317(f317(f319(f906(x87824,x87824)),f317(f317(f242(x87824,x87824),x87822),x87823)),x87826))
% 199.17/199.24 [8816]P1(f317(f317(f224(f907(x88161,a897)),x88162),f317(x88163,x88164)))+~P1(f317(f317(f319(x88165),x88164),x88166))+~P1(f317(f317(f224(f907(x88161,a897)),x88162),f317(f317(f34(x88165,f907(x88161,a897)),x88166),x88163)))
% 199.17/199.24 [8850]~P52(x88503,x88504,f317(f275(x88504,x88503),x88505))+E(x88501,f179(f907(x88502,a897)))+E(f317(f317(f34(x88502,f907(x88503,a897)),x88501),f317(f317(f10(f907(x88504,a897),f907(x88503,a897),x88502),f274(x88504,x88503,x88505)),x88506)),f317(f274(x88504,x88503,x88505),f317(f317(f34(x88502,f907(x88504,a897)),x88501),x88506)))
% 199.17/199.24 [8928]P1(f317(f317(f319(x89281),x89282),f317(f274(x89283,x89281,x89284),x89285)))+~P1(f317(f317(f319(x89283),x89286),x89285))+~P1(f317(f317(f319(f906(x89283,x89281)),f317(f317(f242(x89283,x89281),x89286),x89282)),x89284))
% 199.17/199.24 [9227]P1(f317(f317(f224(f907(x92271,a897)),f317(f274(x92272,x92271,x92273),x92274)),f317(f274(x92272,x92271,x92275),x92276)))+~P1(f317(f317(f224(f907(x92272,a897)),x92274),x92276))+~P1(f317(f317(f224(f907(f906(x92272,x92271),a897)),x92273),x92275))
% 199.17/199.24 [9427]~P1(f317(f317(f319(x94272),x94276),x94274))+~P1(f317(f317(f224(f907(x94271,a897)),x94273),x94275))+P1(f317(f317(f224(f907(f906(x94271,x94272),a897)),f317(f317(f244(x94271,x94272),x94273),f317(f18(f907(x94272,a897),x94271),x94274))),f317(f317(f244(x94271,x94272),x94275),f317(f18(f907(x94272,a897),x94271),x94274))))
% 199.17/199.24 [9435]~P31(x94351,x94352,x94353,x94355,x94356)+P1(f317(f317(f247(x94351,x94352,a897),x94353),x94354))+~P1(f317(f317(f319(f906(x94351,x94352)),x94354),f317(f162(f906(x94351,x94352)),f317(f317(f171(x94351,x94352),x94355),x94356))))
% 199.17/199.24 [9578]~E(x95783,x95785)+P1(f317(f317(f319(f906(f902(x95781),f902(x95781))),f317(f317(f242(f902(x95781),f902(x95781)),f317(f317(f141(x95781),x95782),x95783)),f317(f317(f141(x95781),x95784),x95785))),f147(x95781,x95786)))+~P1(f317(f317(f319(f906(x95781,x95781)),f317(f317(f242(x95781,x95781),x95782),x95784)),x95786))
% 199.17/199.24 [9584]~E(f317(f180(f902(x95841)),x95843),f317(f180(f902(x95841)),x95845))+P1(f317(f317(f319(f906(f902(x95841),f902(x95841))),f317(f317(f242(f902(x95841),f902(x95841)),f317(f317(f141(x95841),x95842),x95843)),f317(f317(f141(x95841),x95844),x95845))),f135(x95841,x95846)))+~P1(f317(f317(f319(f906(x95841,x95841)),f317(f317(f242(x95841,x95841),x95842),x95844)),x95846))
% 199.17/199.24 [9621]P1(f317(f317(f319(f906(x96211,x96211)),f317(f317(f242(x96211,x96211),x96212),x96213)),f317(f317(f173(f906(x96211,x96211),a897),f317(a102,x96214)),x96215)))+~P1(f317(f317(f319(f906(x96211,x96211)),f317(f317(f242(x96211,x96211),x96216),x96213)),x96215))+~P1(f317(f317(f319(f906(x96211,x96211)),f317(f317(f242(x96211,x96211),x96212),x96216)),f317(f317(f173(f906(x96211,x96211),a897),x96214),x96215)))
% 199.17/199.24 [9622]P1(f317(f317(f319(f906(x96221,x96221)),f317(f317(f242(x96221,x96221),x96222),x96223)),f317(f317(f173(f906(x96221,x96221),a897),f317(a102,x96224)),x96225)))+~P1(f317(f317(f319(f906(x96221,x96221)),f317(f317(f242(x96221,x96221),x96222),x96226)),x96225))+~P1(f317(f317(f319(f906(x96221,x96221)),f317(f317(f242(x96221,x96221),x96226),x96223)),f317(f317(f173(f906(x96221,x96221),a897),x96224),x96225)))
% 199.17/199.24 [9624]~P1(f317(f317(f319(x96244),x96245),x96246))+P1(f317(f317(f224(f907(x96241,a897)),x96242),x96243))+~P1(f317(f317(f224(f907(f906(x96241,x96244),a897)),f317(f317(f244(x96241,x96244),x96242),f317(f18(f907(x96244,a897),x96241),x96246))),f317(f317(f244(x96241,x96244),x96243),f317(f18(f907(x96244,a897),x96241),x96246))))
% 199.17/199.24 [9679]E(x96791,x96792)+~P1(f317(f317(f319(f906(f902(x96793),f902(x96793))),f317(f317(f242(f902(x96793),f902(x96793)),f317(f317(f141(x96793),x96791),x96795)),f317(f317(f141(x96793),x96792),x96796))),f135(x96793,x96794)))+P1(f317(f317(f319(f906(x96793,x96793)),f317(f317(f242(x96793,x96793),x96791),x96792)),x96794))
% 199.17/199.24 [9680]E(x96801,x96802)+~P1(f317(f317(f319(f906(f902(x96803),f902(x96803))),f317(f317(f242(f902(x96803),f902(x96803)),f317(f317(f141(x96803),x96801),x96805)),f317(f317(f141(x96803),x96802),x96806))),f137(x96803,x96804)))+P1(f317(f317(f319(f906(x96803,x96803)),f317(f317(f242(x96803,x96803),x96801),x96802)),x96804))
% 199.17/199.24 [9681]E(x96811,x96812)+~P1(f317(f317(f319(f906(f902(x96813),f902(x96813))),f317(f317(f242(f902(x96813),f902(x96813)),f317(f317(f141(x96813),x96811),x96815)),f317(f317(f141(x96813),x96812),x96816))),f147(x96813,x96814)))+P1(f317(f317(f319(f906(x96813,x96813)),f317(f317(f242(x96813,x96813),x96811),x96812)),x96814))
% 199.17/199.24 [9715]P1(f317(f317(f319(f906(f902(x97151),f902(x97151))),f317(f317(f242(f902(x97151),f902(x97151)),f317(f317(f141(x97151),x97152),x97153)),f317(f317(f141(x97151),x97154),x97155))),f148(x97151,x97156)))+~P1(f317(f317(f319(f906(f902(x97151),f902(x97151))),f317(f317(f242(f902(x97151),f902(x97151)),x97153),x97155)),f148(x97151,x97156)))+~P1(f317(f317(f319(f906(x97151,x97151)),f317(f317(f242(x97151,x97151),x97152),x97154)),x97156))
% 199.17/199.24 [9739]P1(f317(x97391,x97392))+~P1(f317(x97391,f485(x97391,x97393,x97394,x97395,x97396)))+~P1(f317(f317(f319(x97396),x97392),f317(f317(f35(x97395,f907(x97396,a897)),x97394),x97393)))
% 199.17/199.24 [9744]~P1(f317(f317(f319(f906(f902(x97441),f902(x97441))),f317(f317(f242(f902(x97441),f902(x97441)),f317(f317(f141(x97441),x97442),x97445)),f317(f317(f141(x97441),x97443),x97446))),f135(x97441,x97444)))+P1(f317(f317(f319(f906(f902(x97441),f902(x97441))),f317(f317(f242(f902(x97441),f902(x97441)),x97445),x97446)),f135(x97441,x97444)))+P1(f317(f317(f319(f906(x97441,x97441)),f317(f317(f242(x97441,x97441),x97442),x97443)),x97444))
% 199.17/199.24 [9745]~P1(f317(f317(f319(f906(f902(x97451),f902(x97451))),f317(f317(f242(f902(x97451),f902(x97451)),f317(f317(f141(x97451),x97452),x97455)),f317(f317(f141(x97451),x97453),x97456))),f137(x97451,x97454)))+P1(f317(f317(f319(f906(f902(x97451),f902(x97451))),f317(f317(f242(f902(x97451),f902(x97451)),x97455),x97456)),f137(x97451,x97454)))+P1(f317(f317(f319(f906(x97451,x97451)),f317(f317(f242(x97451,x97451),x97452),x97453)),x97454))
% 199.17/199.24 [9746]~P1(f317(f317(f319(f906(f902(x97461),f902(x97461))),f317(f317(f242(f902(x97461),f902(x97461)),f317(f317(f141(x97461),x97462),x97465)),f317(f317(f141(x97461),x97463),x97466))),f147(x97461,x97464)))+P1(f317(f317(f319(f906(f902(x97461),f902(x97461))),f317(f317(f242(f902(x97461),f902(x97461)),x97465),x97466)),f147(x97461,x97464)))+P1(f317(f317(f319(f906(x97461,x97461)),f317(f317(f242(x97461,x97461),x97462),x97463)),x97464))
% 199.17/199.24 [9840]P1(f317(x98401,x98402))+P1(f317(f317(f319(x98403),f486(x98401,x98404,x98405,x98403,x98406)),x98405))+~P1(f317(f317(f319(x98406),x98402),f317(f317(f35(x98403,f907(x98406,a897)),x98405),x98404)))
% 199.17/199.24 [9852]~E(x98522,x98524)+P1(f317(f317(f319(f906(f902(x98521),f902(x98521))),f317(f317(f242(f902(x98521),f902(x98521)),f317(f317(f124(x98521),x98522),f317(f317(f141(x98521),x98523),f103(x98521)))),f317(f317(f124(x98521),x98524),f317(f317(f141(x98521),x98525),f103(x98521))))),f147(x98521,x98526)))+~P1(f317(f317(f319(f906(x98521,x98521)),f317(f317(f242(x98521,x98521),x98523),x98525)),x98526))
% 199.17/199.24 [9939]E(x99391,x99392)+~P1(f317(f317(f319(f906(f902(x99393),f902(x99393))),f317(f317(f242(f902(x99393),f902(x99393)),f317(f317(f124(x99393),x99395),f317(f317(f141(x99393),x99391),f103(x99393)))),f317(f317(f124(x99393),x99396),f317(f317(f141(x99393),x99392),f103(x99393))))),f147(x99393,x99394)))+P1(f317(f317(f319(f906(x99393,x99393)),f317(f317(f242(x99393,x99393),x99391),x99392)),x99394))
% 199.17/199.24 [9968]~P1(f317(f317(f319(f906(f902(x99681),f902(x99681))),f317(f317(f242(f902(x99681),f902(x99681)),f317(f317(f124(x99681),x99685),f317(f317(f141(x99681),x99682),f103(x99681)))),f317(f317(f124(x99681),x99686),f317(f317(f141(x99681),x99683),f103(x99681))))),f147(x99681,x99684)))+P1(f317(f317(f319(f906(f902(x99681),f902(x99681))),f317(f317(f242(f902(x99681),f902(x99681)),x99685),x99686)),f147(x99681,x99684)))+P1(f317(f317(f319(f906(x99681,x99681)),f317(f317(f242(x99681,x99681),x99682),x99683)),x99684))
% 199.17/199.24 [9992]P1(f317(x99921,x99922))+P1(f317(f317(f319(x99923),f485(x99921,x99924,x99925,x99926,x99923)),f317(x99924,f486(x99921,x99924,x99925,x99926,x99923))))+~P1(f317(f317(f319(x99923),x99922),f317(f317(f35(x99926,f907(x99923,a897)),x99925),x99924)))
% 199.17/199.24 [10115]P1(f317(f317(f319(x101151),f819(x101152,x101153,x101154,x101155,x101156,x101151)),x101155))+~P1(f317(f317(f224(f907(x101151,a897)),x101156),x101155))+P1(f317(f317(f224(f907(x101154,a897)),f317(f317(f34(x101151,f907(x101154,a897)),x101155),x101153)),f317(f317(f34(x101151,f907(x101154,a897)),x101155),x101152)))
% 199.17/199.24 [10244]~P1(f317(f317(f224(f907(x102441,a897)),f317(x102444,f819(x102445,x102444,x102441,x102443,x102446,x102442))),f317(x102445,f819(x102445,x102444,x102441,x102443,x102446,x102442))))+~P1(f317(f317(f224(f907(x102442,a897)),x102446),x102443))+P1(f317(f317(f224(f907(x102441,a897)),f317(f317(f34(x102442,f907(x102441,a897)),x102443),x102444)),f317(f317(f34(x102442,f907(x102441,a897)),x102443),x102445)))
% 199.17/199.24 [8949]~P14(x89493,x89494,x89491)+~P1(f317(f28(x89493),x89496))+E(f317(f317(x89491,x89492),f317(f317(f58(x89493,x89494,x89491),x89495),f317(f317(f3(f907(x89493,a897)),x89496),f317(f317(f299(x89493),x89492),f179(f907(x89493,a897)))))),f317(f317(f58(x89493,x89494,x89491),x89495),f317(f317(f299(x89493),x89492),x89496)))
% 199.17/199.24 [9236]~P1(f317(f317(f319(x92365),x92363),x92366))+P1(f317(f317(f224(f907(x92361,a897)),f317(x92362,x92363)),x92364))+~P1(f317(f317(f224(f907(x92361,a897)),f317(f317(f35(x92365,f907(x92361,a897)),x92366),x92362)),x92364))
% 199.17/199.24 [9911]~P6(x99111,x99115,x99114)+P1(f317(f317(f319(f906(x99111,x99111)),f317(f317(f242(x99111,x99111),x99112),x99113)),x99114))+~P1(f317(f317(f319(x99111),x99116),f317(f317(f92(f907(x99111,a897)),f317(f274(x99111,x99111,x99114),f317(f317(f299(x99111),x99112),f179(f907(x99111,a897))))),f317(f274(x99111,x99111,x99114),f317(f317(f299(x99111),x99113),f179(f907(x99111,a897)))))))
% 199.17/199.24 [8676]~P110(x86762)+~E(f317(f317(f74(x86762),f317(f317(f75(x86762),x86764),x86765)),x86761),f317(f317(f74(x86762),f317(f317(f75(x86762),x86763),x86765)),x86766))+E(x86761,f317(f317(f74(x86762),f317(f317(f75(x86762),f317(f317(f3(x86762),x86763),x86764)),x86765)),x86766))
% 199.17/199.24 [8677]~P110(x86771)+~E(f317(f317(f74(x86771),f317(f317(f75(x86771),x86772),x86774)),x86775),f317(f317(f74(x86771),f317(f317(f75(x86771),x86773),x86774)),x86776))+E(f317(f317(f74(x86771),f317(f317(f75(x86771),f317(f317(f3(x86771),x86772),x86773)),x86774)),x86775),x86776)
% 199.17/199.24 [8853]~P110(x88531)+E(f317(f317(f74(x88531),f317(f317(f75(x88531),x88532),x88533)),x88534),f317(f317(f74(x88531),f317(f317(f75(x88531),x88535),x88533)),x88536))+~E(x88536,f317(f317(f74(x88531),f317(f317(f75(x88531),f317(f317(f3(x88531),x88532),x88535)),x88533)),x88534))
% 199.17/199.24 [8854]~P110(x88541)+E(f317(f317(f74(x88541),f317(f317(f75(x88541),x88542),x88543)),x88544),f317(f317(f74(x88541),f317(f317(f75(x88541),x88545),x88543)),x88546))+~E(f317(f317(f74(x88541),f317(f317(f75(x88541),f317(f317(f3(x88541),x88542),x88545)),x88543)),x88544),x88546)
% 199.17/199.24 [9174]~P1(f317(f317(x91744,x91745),x91746))+~P1(f317(f317(x91743,x91745),x91746))+P1(f317(f317(f317(f317(f92(f907(x91741,f907(x91742,a897))),x91743),x91744),x91745),x91746))
% 199.17/199.24 [9444]P1(f317(f317(x94441,x94442),x94443))+P1(f317(f317(x94444,x94442),x94443))+~P1(f317(f317(f317(f317(f91(f907(x94445,f907(x94446,a897))),x94444),x94441),x94442),x94443))
% 199.17/199.24 [9759]~P111(x97591)+~P1(f317(f317(f224(x97591),f317(f317(f74(x97591),f317(f317(f75(x97591),x97594),x97595)),x97592)),f317(f317(f74(x97591),f317(f317(f75(x97591),x97593),x97595)),x97596)))+P1(f317(f317(f224(x97591),x97592),f317(f317(f74(x97591),f317(f317(f75(x97591),f317(f317(f3(x97591),x97593),x97594)),x97595)),x97596)))
% 199.17/199.24 [9760]~P111(x97601)+~P1(f317(f317(f225(x97601),f317(f317(f74(x97601),f317(f317(f75(x97601),x97604),x97605)),x97602)),f317(f317(f74(x97601),f317(f317(f75(x97601),x97603),x97605)),x97606)))+P1(f317(f317(f225(x97601),x97602),f317(f317(f74(x97601),f317(f317(f75(x97601),f317(f317(f3(x97601),x97603),x97604)),x97605)),x97606)))
% 199.17/199.24 [9791]~P111(x97911)+P1(f317(f317(f224(x97911),f317(f317(f74(x97911),f317(f317(f75(x97911),x97912),x97913)),x97914)),f317(f317(f74(x97911),f317(f317(f75(x97911),x97915),x97913)),x97916)))+~P1(f317(f317(f224(x97911),x97914),f317(f317(f74(x97911),f317(f317(f75(x97911),f317(f317(f3(x97911),x97915),x97912)),x97913)),x97916)))
% 199.17/199.24 [9792]~P111(x97921)+P1(f317(f317(f225(x97921),f317(f317(f74(x97921),f317(f317(f75(x97921),x97922),x97923)),x97924)),f317(f317(f74(x97921),f317(f317(f75(x97921),x97925),x97923)),x97926)))+~P1(f317(f317(f225(x97921),x97924),f317(f317(f74(x97921),f317(f317(f75(x97921),f317(f317(f3(x97921),x97925),x97922)),x97923)),x97926)))
% 199.17/199.24 [9903]~P111(x99031)+~P1(f317(f317(f224(x99031),f317(f317(f74(x99031),f317(f317(f75(x99031),x99032),x99034)),x99035)),f317(f317(f74(x99031),f317(f317(f75(x99031),x99033),x99034)),x99036)))+P1(f317(f317(f224(x99031),f317(f317(f74(x99031),f317(f317(f75(x99031),f317(f317(f3(x99031),x99032),x99033)),x99034)),x99035)),x99036))
% 199.17/199.24 [9904]~P111(x99041)+~P1(f317(f317(f225(x99041),f317(f317(f74(x99041),f317(f317(f75(x99041),x99042),x99044)),x99045)),f317(f317(f74(x99041),f317(f317(f75(x99041),x99043),x99044)),x99046)))+P1(f317(f317(f225(x99041),f317(f317(f74(x99041),f317(f317(f75(x99041),f317(f317(f3(x99041),x99042),x99043)),x99044)),x99045)),x99046))
% 199.17/199.24 [9951]~P111(x99511)+P1(f317(f317(f224(x99511),f317(f317(f74(x99511),f317(f317(f75(x99511),x99512),x99513)),x99514)),f317(f317(f74(x99511),f317(f317(f75(x99511),x99515),x99513)),x99516)))+~P1(f317(f317(f224(x99511),f317(f317(f74(x99511),f317(f317(f75(x99511),f317(f317(f3(x99511),x99512),x99515)),x99513)),x99514)),x99516))
% 199.17/199.24 [9952]~P111(x99521)+P1(f317(f317(f225(x99521),f317(f317(f74(x99521),f317(f317(f75(x99521),x99522),x99523)),x99524)),f317(f317(f74(x99521),f317(f317(f75(x99521),x99525),x99523)),x99526)))+~P1(f317(f317(f225(x99521),f317(f317(f74(x99521),f317(f317(f75(x99521),f317(f317(f3(x99521),x99522),x99525)),x99523)),x99524)),x99526))
% 199.17/199.24 [10102]~P72(x101022)+~P1(f317(f28(x101021),x101026))+E(f317(f317(f8(x101021,x101022),f317(f317(f20(x101021,x101022,x101022),f317(f317(f20(x101021,x101022,f907(x101022,x101022)),f317(f317(f10(a897,f907(x101022,f907(x101022,x101022)),x101021),f86(x101022)),x101023)),x101024)),x101025)),x101026),f317(f317(f74(x101022),f317(f317(f8(x101021,x101022),x101024),f317(f317(f92(f907(x101021,a897)),x101026),f317(f252(x101021),x101023)))),f317(f317(f8(x101021,x101022),x101025),f317(f317(f92(f907(x101021,a897)),x101026),f317(f73(f907(x101021,a897)),f317(f252(x101021),x101023))))))
% 199.17/199.24 [10162]P1(f317(f317(f319(x101622),x101624),x101626))+P1(f317(f317(f319(x101622),x101625),x101626))+E(f317(f301(x101621,x101622,f317(f317(f9(x101621,x101622,x101622),f317(f317(f9(x101621,x101622,f907(x101622,x101622)),f317(f317(f10(a897,f907(x101622,f907(x101622,x101622)),x101621),f86(x101622)),f317(f317(f9(x101621,f907(x101621,a897),a897),f319(x101621)),x101623))),x101624)),x101625)),x101626),f179(f907(x101621,a897)))
% 199.17/199.24 [10163]P1(f317(f317(f319(x101632),x101635),x101636))+~P1(f317(f317(f319(x101632),x101634),x101636))+E(f317(f301(x101631,x101632,f317(f317(f9(x101631,x101632,x101632),f317(f317(f9(x101631,x101632,f907(x101632,x101632)),f317(f317(f10(a897,f907(x101632,f907(x101632,x101632)),x101631),f86(x101632)),f317(f317(f9(x101631,f907(x101631,a897),a897),f319(x101631)),x101633))),x101634)),x101635)),x101636),x101633)
% 199.17/199.24 [10164]P1(f317(f317(f319(x101642),x101644),x101646))+~P1(f317(f317(f319(x101642),x101645),x101646))+E(f317(f301(x101641,x101642,f317(f317(f9(x101641,x101642,x101642),f317(f317(f9(x101641,x101642,f907(x101642,x101642)),f317(f317(f10(a897,f907(x101642,f907(x101642,x101642)),x101641),f86(x101642)),f317(f317(f9(x101641,f907(x101641,a897),a897),f319(x101641)),x101643))),x101644)),x101645)),x101646),f317(f73(f907(x101641,a897)),x101643))
% 199.17/199.24 [10165]~P1(f317(f317(f319(x101652),x101654),x101656))+~P1(f317(f317(f319(x101652),x101655),x101656))+E(f317(f301(x101651,x101652,f317(f317(f9(x101651,x101652,x101652),f317(f317(f9(x101651,x101652,f907(x101652,x101652)),f317(f317(f10(a897,f907(x101652,f907(x101652,x101652)),x101651),f86(x101652)),f317(f317(f9(x101651,f907(x101651,a897),a897),f319(x101651)),x101653))),x101654)),x101655)),x101656),f232(f907(x101651,a897)))
% 199.17/199.24 [8708]E(x87081,x87082)+~P54(x87084,x87085,x87083,x87086,x87087)+~E(f317(x87083,x87081),f317(x87083,x87082))
% 199.17/199.24 [8738]~P8(x87386,x87385,x87387,x87384,x87381)+E(f317(f317(x87381,x87382),x87383),x87384)+P1(f317(f28(x87385),x87383))
% 199.17/199.24 [9608]P39(x96081,x96082,x96083,x96084,x96085,f317(f317(x96083,x96086),x96087))+~E(f317(f317(x96083,x96086),x96087),x96084)+~E(x96085,f179(f907(x96081,a897)))
% 199.17/199.24 [9810]~P1(f317(x98106,x98103))+~P1(f317(f317(f319(f906(x98102,x98102)),f317(f317(f242(x98102,x98102),x98104),x98105)),f317(x98107,x98103)))+P1(f317(f317(f319(f906(f906(x98101,x98102),f906(x98101,x98102))),f317(f317(f242(f906(x98101,x98102),f906(x98101,x98102)),f317(f317(f242(x98101,x98102),x98103),x98104)),f317(f317(f242(x98101,x98102),x98103),x98105))),f270(x98101,x98102,x98106,x98107)))
% 199.17/199.24 [10230]~P39(x102302,x102307,x102303,x102306,x102301,f317(f317(x102303,x102305),x102304))+E(f317(f317(x102303,f880(x102304,x102305,x102301,x102306,x102303,x102307,x102302)),f881(x102304,x102305,x102301,x102306,x102303,x102307,x102302)),f317(f317(x102303,x102305),x102304))+E(x102301,f179(f907(x102302,a897)))
% 199.17/199.24 [10231]~P39(x102317,x102316,x102311,x102314,x102315,f317(f317(x102311,x102312),x102313))+E(f317(f317(x102311,f880(x102313,x102312,x102315,x102314,x102311,x102316,x102317)),f881(x102313,x102312,x102315,x102314,x102311,x102316,x102317)),f317(f317(x102311,x102312),x102313))+E(f317(f317(x102311,x102312),x102313),x102314)
% 199.17/199.24 [9274]~P31(x92741,x92742,x92743,x92745,x92747)+P31(x92741,x92742,x92743,f317(f317(f141(x92741),x92744),x92745),f317(f317(f141(x92742),x92746),x92747))+~P1(f317(f317(x92743,x92744),x92746))
% 199.17/199.24 [9293]P31(x92931,x92932,x92933,x92934,x92935)+~P31(x92931,x92932,x92933,f317(f317(f124(x92931),x92936),x92934),f317(f317(f124(x92932),x92937),x92935))+~E(f317(f180(f902(x92931)),x92936),f317(f180(f902(x92932)),x92937))
% 199.17/199.24 [9294]P31(x92941,x92942,x92943,x92944,x92945)+~P31(x92941,x92942,x92943,f317(f317(f124(x92941),x92944),x92946),f317(f317(f124(x92942),x92945),x92947))+~E(f317(f180(f902(x92941)),x92944),f317(f180(f902(x92942)),x92945))
% 199.17/199.24 [9515]~P31(x95151,x95152,x95153,x95155,x95157)+~P31(x95151,x95152,x95153,x95154,x95156)+P31(x95151,x95152,x95153,f317(f317(f124(x95151),x95154),x95155),f317(f317(f124(x95152),x95156),x95157))
% 199.17/199.24 [9890]~P1(f317(f60(x98901,x98904,x98905,x98906,x98903),x98907))+P1(f317(f60(x98901,x98904,x98905,x98906,f317(f317(f299(x98901),x98902),x98903)),f317(f317(x98905,x98902),x98907)))+P1(f317(f317(f319(x98901),x98902),x98903))
% 199.17/199.24 [10261]~P39(x102612,x102617,x102616,x102615,x102611,f317(f317(x102616,x102614),x102613))+E(x102611,f179(f907(x102612,a897)))+P1(f317(f317(f319(x102612),f880(x102613,x102614,x102611,x102615,x102616,x102617,x102612)),x102611))
% 199.17/199.24 [10262]~P39(x102625,x102627,x102621,x102624,x102626,f317(f317(x102621,x102622),x102623))+E(f317(f317(x102621,x102622),x102623),x102624)+P1(f317(f317(f319(x102625),f880(x102623,x102622,x102626,x102624,x102621,x102627,x102625)),x102626))
% 199.17/199.24 [10391]E(f317(f317(f242(x103911,x103912),x103913),x103914),f317(f317(f242(x103911,x103912),x103915),x103916))+P1(f317(f317(f319(f906(f906(x103911,x103912),f906(x103911,x103912))),f317(f317(f242(f906(x103911,x103912),f906(x103911,x103912)),f317(f317(f242(x103911,x103912),f826(x103917,x103914,x103913,x103916,x103915,x103912,x103911)),f827(x103917,x103914,x103913,x103916,x103915,x103912,x103911))),f317(f317(f242(x103911,x103912),x103913),x103914))),f297(f906(x103911,x103912),x103917)))+~P1(f317(f317(f319(f906(f906(x103911,x103912),f906(x103911,x103912))),f317(f317(f242(f906(x103911,x103912),f906(x103911,x103912)),f317(f317(f242(x103911,x103912),x103915),x103916)),f317(f317(f242(x103911,x103912),x103913),x103914))),f297(f906(x103911,x103912),x103917)))
% 199.17/199.24 [8975]~P19(x89754,x89755,x89756,x89757,x89751)+~P1(f317(f28(x89755),x89753))+E(f317(f317(x89751,x89752),x89753),f317(f317(f317(f59(x89754,x89755,x89756),x89752),x89757),x89753))
% 199.17/199.24 [8976]~P8(x89764,x89765,x89766,x89767,x89761)+~P1(f317(f28(x89765),x89763))+E(f317(f317(x89761,x89762),x89763),f317(f317(f317(f59(x89764,x89765,x89766),x89762),x89767),x89763))
% 199.17/199.24 [9786]~P21(x97863,x97864,x97865,x97867,x97866,x97861)+~P1(f317(f28(x97864),x97862))+E(f317(x97861,x97862),f317(f317(f317(f59(x97863,x97864,x97865),x97866),x97867),x97862))
% 199.17/199.24 [9947]P39(x99471,x99472,x99473,x99474,x99475,f317(f317(x99473,x99476),x99477))+~P39(x99471,x99472,x99473,x99474,f317(f317(f3(f907(x99471,a897)),x99475),f317(f317(f299(x99471),x99476),f179(f907(x99471,a897)))),x99477)+~P1(f317(f317(f319(x99471),x99476),x99475))
% 199.17/199.24 [10306]P1(f317(f317(x103067,f771(x103064,x103065,x103061,x103066,x103063,x103062,x103067)),f772(x103064,x103065,x103061,x103066,x103063,x103062,x103067)))+~P1(f317(f317(x103067,f317(f246(x103062,x103063),x103066)),f317(f241(x103062,x103063),x103066)))+P1(f317(x103061,f317(f317(f247(x103062,x103063,x103064),x103065),x103066)))
% 199.17/199.24 [10317]~P39(x103172,x103173,x103174,x103175,x103171,f317(f317(x103174,x103177),x103176))+P39(x103172,x103173,x103174,x103175,f317(f317(f3(f907(x103172,a897)),x103171),f317(f317(f299(x103172),f880(x103176,x103177,x103171,x103175,x103174,x103173,x103172)),f179(f907(x103172,a897)))),f881(x103176,x103177,x103171,x103175,x103174,x103173,x103172))+E(x103171,f179(f907(x103172,a897)))
% 199.17/199.24 [10318]~P39(x103185,x103186,x103181,x103184,x103187,f317(f317(x103181,x103182),x103183))+P39(x103185,x103186,x103181,x103184,f317(f317(f3(f907(x103185,a897)),x103187),f317(f317(f299(x103185),f880(x103183,x103182,x103187,x103184,x103181,x103186,x103185)),f179(f907(x103185,a897)))),f881(x103183,x103182,x103187,x103184,x103181,x103186,x103185))+E(f317(f317(x103181,x103182),x103183),x103184)
% 199.17/199.24 [10349]~P1(f317(x103491,f317(f317(x103495,f772(x103494,x103495,x103491,x103496,x103493,x103492,x103497)),f771(x103494,x103495,x103491,x103496,x103493,x103492,x103497))))+~P1(f317(f317(x103497,f317(f246(x103492,x103493),x103496)),f317(f241(x103492,x103493),x103496)))+P1(f317(x103491,f317(f317(f247(x103492,x103493,x103494),x103495),x103496)))
% 199.17/199.24 [9592]P1(f317(f317(f224(f907(f906(x95921,x95922),a897)),f317(f317(f278(x95921,x95923,x95922),x95924),x95925)),f317(f317(f278(x95921,x95923,x95922),x95926),x95927)))+~P1(f317(f317(f224(f907(f906(x95923,x95922),a897)),x95925),x95927))+~P1(f317(f317(f224(f907(f906(x95921,x95923),a897)),x95924),x95926))
% 199.17/199.24 [10382]E(f317(f317(f242(x103821,x103822),x103823),x103824),f317(f317(f242(x103821,x103822),x103825),x103826))+~P1(f317(f317(f319(f906(f906(x103821,x103822),f906(x103821,x103822))),f317(f317(f242(f906(x103821,x103822),f906(x103821,x103822)),f317(f317(f242(x103821,x103822),x103823),x103824)),f317(f317(f242(x103821,x103822),x103825),x103826))),f297(f906(x103821,x103822),x103827)))+P1(f317(f317(f319(f906(f906(x103821,x103822),f906(x103821,x103822))),f317(f317(f242(f906(x103821,x103822),f906(x103821,x103822)),f317(f317(f242(x103821,x103822),x103823),x103824)),f317(f317(f242(x103821,x103822),f826(x103827,x103826,x103825,x103824,x103823,x103822,x103821)),f827(x103827,x103826,x103825,x103824,x103823,x103822,x103821)))),x103827))
% 199.17/199.24 [9957]~P1(f317(f317(f319(x99571),x99576),x99575))+P1(f317(f60(x99571,x99572,x99573,x99574,x99575),f317(f317(x99573,x99576),x99577)))+~P1(f317(f60(x99571,x99572,x99573,x99574,f317(f317(f3(f907(x99571,a897)),x99575),f317(f317(f299(x99571),x99576),f179(f907(x99571,a897))))),x99577))
% 199.17/199.24 [10398]~P145(x103981)+~P22(f906(x103982,x103983),x103981,f317(f247(x103982,x103983,x103981),f317(f317(f9(x103982,f907(x103983,x103981),f907(x103983,x103981)),f317(f317(f10(f907(x103981,x103981),f907(f907(x103983,x103981),f907(x103983,x103981)),x103982),f10(x103981,x103981,x103983)),f317(f317(f10(x103981,f907(x103981,x103981),x103982),f75(x103981)),x103984))),x103985)),f317(f317(f244(x103982,x103983),x103986),f317(f18(f907(x103983,a897),x103982),x103987)))+E(f317(f317(f8(x103981,x103981),f25(x103981)),f317(f252(x103981),f317(f317(f10(f907(x103982,a897),a897,x103981),f80(x103982)),f317(f317(f10(f907(x103982,f907(x103983,a897)),f907(x103982,a897),x103981),f317(f10(f907(x103983,a897),a897,x103982),f80(x103983))),f317(f317(f9(x103981,f907(x103982,f907(x103983,a897)),f907(x103982,f907(x103983,a897))),f317(f317(f10(f907(x103982,f907(f907(x103983,a897),f907(x103983,a897))),f907(f907(x103982,f907(x103983,a897)),f907(x103982,f907(x103983,a897))),x103981),f20(x103982,f907(x103983,a897),f907(x103983,a897))),f317(f317(f10(f907(x103982,f907(x103983,f907(a897,a897))),f907(x103982,f907(f907(x103983,a897),f907(x103983,a897))),x103981),f317(f10(f907(x103983,f907(a897,a897)),f907(f907(x103983,a897),f907(x103983,a897)),x103982),f20(x103983,a897,a897))),f317(f317(f10(f907(x103982,f907(x103983,a897)),f907(x103982,f907(x103983,f907(a897,a897))),x103981),f317(f10(f907(x103983,a897),f907(x103983,f907(a897,a897)),x103982),f317(f10(a897,f907(a897,a897),x103983),a315))),f317(f317(f9(x103981,f907(x103982,f907(x103983,x103981)),f907(x103982,f907(x103983,a897))),f317(f317(f10(f907(f907(x103983,x103981),f907(x103983,a897)),f907(f907(x103982,f907(x103983,x103981)),f907(x103982,f907(x103983,a897))),x103981),f10(f907(x103983,x103981),f907(x103983,a897),x103982)),f317(f317(f10(f907(x103981,a897),f907(f907(x103983,x103981),f907(x103983,a897)),x103981),f10(x103981,a897,x103983)),a314))),f317(f317(f9(x103982,f907(x103983,x103981),f907(x103983,x103981)),f317(f317(f10(f907(x103981,x103981),f907(f907(x103983,x103981),f907(x103983,x103981)),x103982),f10(x103981,x103981,x103983)),f317(f317(f10(x103981,f907(x103981,x103981),x103982),f75(x103981)),x103984))),x103985)))))),f317(f317(f9(x103982,f907(x103983,a897),f907(x103983,a897)),f317(f317(f10(f907(a897,a897),f907(f907(x103983,a897),f907(x103983,a897)),x103982),f10(a897,a897,x103983)),f317(f317(f10(a897,f907(a897,a897),x103982),a315),f317(f317(f9(x103982,f907(x103982,a897),a897),f319(x103982)),x103986)))),f317(f317(f9(x103983,f907(x103983,a897),a897),f319(x103983)),x103987))))))),f317(f317(f75(x103981),f317(f317(f8(x103982,x103981),x103984),x103986)),f317(f317(f8(x103983,x103981),x103985),x103987)))
% 199.17/199.24 [9596]~P23(x95961,x95963,x95965,x95966,x95968)+~P23(x95963,x95962,x95964,x95968,x95967)+P23(x95961,x95962,f317(f67(x95963,x95962,x95961,x95964),x95965),x95966,x95967)
% 199.17/199.24 [9630]P23(x96301,x96302,x96303,x96304,x96305)+~P23(x96306,x96301,x96307,x96308,x96304)+~P23(x96306,x96302,f317(f67(x96301,x96302,x96306,x96303),x96307),x96308,x96305)
% 199.17/199.24 [9784]~P1(f317(f317(x97844,x97846),x97848))+~P1(f317(f317(x97845,x97848),x97847))+P1(f317(f317(f243(x97841,x97842,x97843,x97844,x97845),x97846),x97847))
% 199.17/199.24 [9348]~P17(x93488,x93481,x93483,x93485)+~P1(f317(f28(x93488),x93486))+E(f317(f67(x93481,x93481,x93482,f317(x93483,x93484)),f317(f67(x93481,x93481,x93482,f317(x93485,x93486)),x93487)),f317(f67(x93481,x93481,x93482,f317(x93485,x93486)),f317(f67(x93481,x93481,x93482,f317(x93483,x93484)),x93487)))
% 199.17/199.24 [9770]~P20(x97707,x97702,x97705,x97708,x97706,x97701)+~P1(f317(f28(x97702),x97704))+E(f317(x97701,f317(f317(f299(x97702),x97703),x97704)),f317(f317(x97705,f317(x97706,x97703)),f317(x97701,x97704)))
% 199.17/199.24 [9901]~P22(x99012,x99014,x99016,x99018)+~P22(x99011,x99013,x99015,x99017)+P22(f906(x99011,x99012),f906(x99013,x99014),f248(x99011,x99013,x99012,x99014,x99015,x99016),f317(f317(f244(x99011,x99012),x99017),f317(f18(f907(x99012,a897),x99011),x99018)))
% 199.17/199.24 [9534]P1(f317(f317(f319(f906(x95341,x95342)),f317(f317(f242(x95341,x95342),x95343),x95344)),f317(f317(f278(x95341,x95345,x95342),x95346),x95347)))+~P1(f317(f317(f319(f906(x95341,x95345)),f317(f317(f242(x95341,x95345),x95343),x95348)),x95346))+~P1(f317(f317(f319(f906(x95345,x95342)),f317(f317(f242(x95345,x95342),x95348),x95344)),x95347))
% 199.17/199.24 [9747]~P1(f317(f317(f224(f907(f906(x97473,x97472),a897)),x97475),f317(f317(f244(x97473,x97472),x97478),f317(f18(f907(x97472,a897),x97473),x97477))))+~P1(f317(f317(f224(f907(f906(x97471,x97473),a897)),x97474),f317(f317(f244(x97471,x97473),x97476),f317(f18(f907(x97473,a897),x97471),x97478))))+P1(f317(f317(f224(f907(f906(x97471,x97472),a897)),f317(f317(f278(x97471,x97473,x97472),x97474),x97475)),f317(f317(f244(x97471,x97472),x97476),f317(f18(f907(x97472,a897),x97471),x97477))))
% 199.17/199.24 [9805]~E(x98053,x98055)+P1(f317(f317(f319(f906(f906(x98051,x98052),f906(x98051,x98052))),f317(f317(f242(f906(x98051,x98052),f906(x98051,x98052)),f317(f317(f242(x98051,x98052),x98053),x98054)),f317(f317(f242(x98051,x98052),x98055),x98056))),f309(x98051,x98052,x98057,x98058)))+~P1(f317(f317(f319(f906(x98052,x98052)),f317(f317(f242(x98052,x98052),x98054),x98056)),x98058))
% 199.17/199.24 [9924]E(x99241,x99242)+~P1(f317(f317(f319(f906(f906(x99243,x99245),f906(x99243,x99245))),f317(f317(f242(f906(x99243,x99245),f906(x99243,x99245)),f317(f317(f242(x99243,x99245),x99241),x99246)),f317(f317(f242(x99243,x99245),x99242),x99247))),f309(x99243,x99245,x99244,x99248)))+P1(f317(f317(f319(f906(x99243,x99243)),f317(f317(f242(x99243,x99243),x99241),x99242)),x99244))
% 199.17/199.24 [9938]~P1(f317(f317(f319(f906(f906(x99381,x99385),f906(x99381,x99385))),f317(f317(f242(f906(x99381,x99385),f906(x99381,x99385)),f317(f317(f242(x99381,x99385),x99382),x99386)),f317(f317(f242(x99381,x99385),x99383),x99387))),f309(x99381,x99385,x99384,x99388)))+P1(f317(f317(f319(f906(x99381,x99381)),f317(f317(f242(x99381,x99381),x99382),x99383)),x99384))+P1(f317(f317(f319(f906(x99385,x99385)),f317(f317(f242(x99385,x99385),x99386),x99387)),x99388))
% 199.17/199.24 [9841]~P21(x98417,x98415,x98411,x98418,x98412,x98414)+~P1(f317(f28(x98415),x98416))+E(f317(f317(x98411,f317(x98412,x98413)),f317(x98414,f317(f317(f3(f907(x98415,a897)),x98416),f317(f317(f299(x98415),x98413),f179(f907(x98415,a897)))))),f317(x98414,f317(f317(f299(x98415),x98413),x98416)))
% 199.17/199.24 [9300]~P1(f317(f317(f317(x93005,x93008),x93006),x93007))+~P1(f317(f317(f319(x93001),x93008),x93004))+P1(f317(f317(f317(f317(f35(x93001,f907(x93002,f907(x93003,a897))),x93004),x93005),x93006),x93007))
% 199.17/199.24 [9523]P1(f317(f317(f317(x95231,x95232),x95233),x95234))+~P1(f317(f317(f319(x95235),x95232),x95236))+~P1(f317(f317(f317(f317(f34(x95235,f907(x95237,f907(x95238,a897))),x95236),x95231),x95233),x95234))
% 199.17/199.24 [9740]~P19(x97403,x97402,x97404,x97408,x97401)+~P1(f317(f28(x97402),x97407))+E(f317(f317(x97401,f317(f317(f20(x97402,x97403,x97403),f317(f317(f10(x97403,f907(x97403,x97403),x97402),x97404),x97405)),x97406)),x97407),f317(f317(x97404,f317(f317(x97401,x97405),x97407)),f317(f317(x97401,x97406),x97407)))
% 199.17/199.24 [10017]~E(f317(f300(x100172,x100174,x100176),x100178),x1001710)+~E(f317(f300(x100171,x100173,x100175),x100177),x100179)+E(f317(f300(f906(x100171,x100172),f906(x100173,x100174),f248(x100171,x100173,x100172,x100174,x100175,x100176)),f317(f317(f244(x100171,x100172),x100177),f317(f18(f907(x100172,a897),x100171),x100178))),f317(f317(f244(x100173,x100174),x100179),f317(f18(f907(x100174,a897),x100173),x1001710)))
% 199.17/199.24 [4945]~P40(x49451,x49452)+~P47(x49451,x49452)+~P48(x49451,x49452)+P5(x49451,x49452)
% 199.17/199.24 [4901]~P108(x49012)+~P11(x49012,x49011)+P11(x49012,f104(x49012,x49011))+E(x49011,f103(x49012))
% 199.17/199.24 [4902]~P108(x49022)+~P11(x49022,x49021)+P11(x49022,f690(x49021,x49022))+E(x49021,f103(x49022))
% 199.17/199.24 [5150]~P3(x51502)+E(f12(x51502,x51501),f31(x51502,x51501))+E(x51501,f179(f907(x51502,a897)))+~P1(f317(f28(x51502),x51501))
% 199.17/199.24 [5151]~P3(x51512)+E(f13(x51512,x51511),f32(x51512,x51511))+E(x51511,f179(f907(x51512,a897)))+~P1(f317(f28(x51512),x51511))
% 199.17/199.24 [5307]~P108(x53072)+~P11(x53072,x53071)+E(x53071,f103(x53072))+E(f317(f317(f141(x53072),f709(x53071,x53072)),f690(x53071,x53072)),x53071)
% 199.17/199.24 [6130]~P68(x61302)+E(x61301,f179(f907(x61302,a897)))+P1(f317(f317(f224(x61302),f13(x61302,x61301)),f12(x61302,x61301)))+~P1(f317(f28(x61302),x61301))
% 199.17/199.24 [6141]~P37(x61412)+~P37(x61411)+E(x61411,x61412)+~E(f317(f300(a1,a901,a95),x61411),f317(f300(a1,a901,a95),x61412))
% 199.17/199.24 [9155]~P119(x91551)+~P1(f317(f317(f319(x91551),x91552),f100(x91551)))+P1(f317(f317(f225(x91551),f317(f317(f74(x91551),f317(f317(f74(x91551),f72(x91551)),x91552)),x91552)),f2(x91551)))+~P1(f317(f317(f225(x91551),x91552),f2(x91551)))
% 199.17/199.24 [9404]~P119(x94041)+~P1(f317(f317(f319(x94041),x94042),f100(x94041)))+~P1(f317(f317(f225(x94041),f317(f317(f74(x94041),f317(f317(f74(x94041),f72(x94041)),x94042)),x94042)),f2(x94041)))+P1(f317(f317(f225(x94041),x94042),f2(x94041)))
% 199.17/199.24 [4960]~P115(x49602)+~P145(x49602)+E(x49601,f2(a901))+E(f317(f317(f234(x49602),f2(x49602)),x49601),f2(x49602))
% 199.17/199.24 [4964]~P115(x49641)+~P145(x49641)+~E(x49642,f2(a901))+E(f317(f317(f234(x49641),f2(x49641)),x49642),f72(x49641))
% 199.17/199.24 [5136]~P140(x51362)+E(x51361,f72(x51362))+E(x51361,f317(f73(x51362),f72(x51362)))+~E(f317(f317(f75(x51362),x51361),x51361),f72(x51362))
% 199.17/199.24 [5384]~P93(x53842)+E(x53841,f2(x53842))+E(f76(x53842,x53841),f317(f73(x53842),f72(x53842)))+P1(f317(f317(f225(x53842),f2(x53842)),x53841))
% 199.17/199.24 [5627]~P93(x56272)+E(f76(x56272,x56271),f72(x56272))+E(x56271,f2(x56272))+~P1(f317(f317(f225(x56272),f2(x56272)),x56271))
% 199.17/199.24 [5636]E(x56361,x56362)+~E(f317(f94(a901),x56361),f317(f94(a901),x56362))+P1(f317(a184,f317(f94(a1),x56362)))+P1(f317(a184,f317(f94(a1),x56361)))
% 199.17/199.24 [5689]~P96(x56891)+~E(x56892,f2(x56891))+E(f317(f317(f74(x56891),x56892),x56892),f2(x56891))+~P1(f317(f317(f319(x56891),x56892),f100(x56891)))
% 199.17/199.24 [5728]E(x57281,f2(a1))+~E(f317(f317(f30(a1),x57282),x57281),f2(a1))+P1(f317(f317(f225(a1),x57281),x57282))+P1(f317(f317(f225(a1),x57282),x57281))
% 199.17/199.24 [5758]E(x57581,f2(a1))+~E(f317(f317(f30(a1),x57582),x57581),f2(a1))+P1(f317(f317(f224(a1),x57582),f2(a1)))+P1(f317(f317(f225(a1),x57582),x57581))
% 199.17/199.24 [5792]E(x57921,f2(a1))+~E(f317(f317(f30(a1),x57922),x57921),f2(a1))+P1(f317(f317(f224(a1),f2(a1)),x57922))+P1(f317(f317(f225(a1),x57921),x57922))
% 199.17/199.24 [5827]~P96(x58272)+E(x58271,f2(x58272))+~E(f317(f317(f74(x58272),x58271),x58271),f2(x58272))+~P1(f317(f317(f319(x58272),x58271),f100(x58272)))
% 199.17/199.24 [5898]E(f317(f94(a901),x58981),f317(f94(a901),x58982))+~E(f317(f94(a1),x58982),f2(a1))+P1(f317(a184,f317(f94(a1),x58982)))+~P1(f317(a184,f317(f94(a1),x58981)))
% 199.17/199.24 [5927]~E(f317(f94(a901),x59272),f317(f94(a901),x59271))+E(f317(f94(a1),x59271),f2(a1))+P1(f317(a184,f317(f94(a1),x59271)))+~P1(f317(a184,f317(f94(a1),x59272)))
% 199.17/199.24 [5937]~P108(x59372)+E(x59371,f179(f907(x59372,a897)))+~P1(f317(f28(x59372),x59371))+P1(f317(f317(f319(x59372),f16(x59372,x59371)),x59371))
% 199.17/199.24 [5938]~P108(x59382)+E(x59381,f179(f907(x59382,a897)))+~P1(f317(f28(x59382),x59381))+P1(f317(f317(f319(x59382),f17(x59382,x59381)),x59381))
% 199.17/199.24 [6107]~P119(x61071)+~P97(x61071)+P1(f317(f317(f224(x61071),f2(x61071)),f317(f94(x61071),x61072)))+~P1(f317(f317(f224(a1),a77),x61072))
% 199.17/199.24 [6108]~P119(x61081)+~P97(x61081)+P1(f317(f317(f225(x61081),f2(x61081)),f317(f94(x61081),x61082)))+~P1(f317(f317(f225(a1),a77),x61082))
% 199.17/199.24 [6129]~P119(x61291)+~P97(x61291)+E(f317(f70(x61291),f317(f94(x61291),x61292)),f317(f94(x61291),x61292))+P1(f317(f317(f225(x61291),f317(f94(x61291),x61292)),f2(x61291)))
% 199.17/199.24 [6165]E(x61651,x61652)+~E(f317(a95,x61651),f317(a95,x61652))+~P1(f317(f317(f224(a1),f2(a1)),x61652))+~P1(f317(f317(f224(a1),f2(a1)),x61651))
% 199.17/199.24 [6364]~P97(x63642)+~P119(x63642)+~P1(f317(f317(f224(x63642),f2(x63642)),f317(f94(x63642),x63641)))+P1(f317(f317(f224(a1),a77),x63641))
% 199.17/199.24 [6365]~P97(x63652)+~P119(x63652)+~P1(f317(f317(f225(x63652),f2(x63652)),f317(f94(x63652),x63651)))+P1(f317(f317(f225(a1),a77),x63651))
% 199.17/199.24 [6370]~P119(x63701)+~P97(x63701)+P1(f317(f317(f224(x63701),f317(f94(x63701),x63702)),f2(x63701)))+~P1(f317(f317(f224(a1),x63702),a77))
% 199.17/199.24 [6371]~P119(x63711)+~P97(x63711)+P1(f317(f317(f225(x63711),f317(f94(x63711),x63712)),f2(x63711)))+~P1(f317(f317(f225(a1),x63712),a77))
% 199.17/199.24 [6691]~P97(x66912)+~P119(x66912)+~P1(f317(f317(f224(x66912),f317(f94(x66912),x66911)),f2(x66912)))+P1(f317(f317(f224(a1),x66911),a77))
% 199.17/199.24 [6692]~P97(x66922)+~P119(x66922)+~P1(f317(f317(f225(x66922),f317(f94(x66922),x66921)),f2(x66922)))+P1(f317(f317(f225(a1),x66921),a77))
% 199.17/199.24 [6785]~P119(x67851)+~P97(x67851)+E(f317(f70(x67851),f317(f94(x67851),x67852)),f317(f73(x67851),f317(f94(x67851),x67852)))+~P1(f317(f317(f225(x67851),f317(f94(x67851),x67852)),f2(x67851)))
% 199.17/199.24 [6804]E(f317(f94(a901),x68041),f317(f94(a901),x68042))+~E(f317(f94(a1),x68042),f2(a1))+~P1(f317(f317(f224(a1),f317(f94(a1),x68041)),f2(a1)))+~P1(f317(a184,f317(f94(a1),x68041)))
% 199.17/199.24 [7673]~P108(x76732)+E(x76731,f179(f907(x76732,a897)))+~P1(f317(f28(x76732),x76731))+P1(f317(f317(f224(x76732),f15(x76732,f228(x76732),x76731)),f14(x76732,f178(x76732),x76731)))
% 199.17/199.24 [7991]~P37(x79912)+~P4(x79911)+P1(f317(f317(f319(a1),x79911),x79912))+~P1(f317(f317(f319(a901),f317(a95,x79911)),f317(f300(a1,a901,a95),x79912)))
% 199.17/199.24 [5933]~P141(x59332)+E(x59331,f2(a1))+E(f317(f73(x59332),f317(f93(x59332),f317(f73(a1),x59331))),f317(f93(x59332),x59331))+~P1(f317(f317(f225(a1),x59331),f2(a1)))
% 199.17/199.24 [6353]~P80(x63532)+E(x63531,f179(f907(x63532,a897)))+E(f17(x63532,f317(f300(x63532,x63532,f73(x63532)),x63531)),f317(f73(x63532),f16(x63532,x63531)))+~P1(f317(f28(x63532),x63531))
% 199.17/199.24 [6354]~P80(x63542)+E(x63541,f179(f907(x63542,a897)))+E(f16(x63542,f317(f300(x63542,x63542,f73(x63542)),x63541)),f317(f73(x63542),f17(x63542,x63541)))+~P1(f317(f28(x63542),x63541))
% 199.17/199.24 [6479]E(x64791,f2(a1))+E(f317(a46,f45(f317(f73(a1),x64791),f317(f73(a1),x64792))),f41(x64791,x64792))+P1(f317(f317(f224(a1),f2(a1)),x64792))+~P1(f317(f317(f224(a1),f2(a1)),x64791))
% 199.17/199.24 [8761]~P37(x87612)+~P37(x87611)+P1(f317(f317(f225(f907(a901,a897)),f317(f300(a1,a901,a95),x87611)),f317(f300(a1,a901,a95),x87612)))+~P1(f317(f317(f225(f907(a1,a897)),x87611),x87612))
% 199.17/199.24 [8993]~E(f711(x89932,x89931),f712(x89932,x89931))+~P1(f317(f127(x89931),f713(x89932,x89931)))+~P1(f317(f127(f902(x89931)),x89932))+P1(f317(f127(x89931),f317(f132(f902(x89931),f902(x89931),f124(x89931),f103(x89931)),x89932)))
% 199.17/199.24 [9079]~P37(x90792)+~P37(x90791)+~P1(f317(f317(f224(f907(a901,a897)),f317(f300(a1,a901,a95),x90791)),f317(f300(a1,a901,a95),x90792)))+P1(f317(f317(f224(f907(a1,a897)),x90791),x90792))
% 199.17/199.24 [9080]~P37(x90802)+~P37(x90801)+~P1(f317(f317(f225(f907(a901,a897)),f317(f300(a1,a901,a95),x90801)),f317(f300(a1,a901,a95),x90802)))+P1(f317(f317(f225(f907(a1,a897)),x90801),x90802))
% 199.17/199.24 [9087]~E(f711(x90872,x90871),f712(x90872,x90871))+~P1(f317(f127(f902(x90871)),x90872))+P1(f317(f127(x90871),f317(f132(f902(x90871),f902(x90871),f124(x90871),f103(x90871)),x90872)))+P1(f317(f317(f319(f902(x90871)),f713(x90872,x90871)),f317(f162(f902(x90871)),x90872)))
% 199.17/199.24 [9127]~P1(f317(f127(x91271),f713(x91272,x91271)))+~P1(f317(f127(f902(x91271)),x91272))+P1(f317(f127(x91271),f317(f132(f902(x91271),f902(x91271),f124(x91271),f103(x91271)),x91272)))+P1(f317(f317(f319(f902(x91271)),f712(x91272,x91271)),f317(f162(f902(x91271)),x91272)))
% 199.17/199.24 [9128]~P1(f317(f127(x91281),f713(x91282,x91281)))+~P1(f317(f127(f902(x91281)),x91282))+P1(f317(f127(x91281),f317(f132(f902(x91281),f902(x91281),f124(x91281),f103(x91281)),x91282)))+P1(f317(f317(f319(f902(x91281)),f711(x91282,x91281)),f317(f162(f902(x91281)),x91282)))
% 199.17/199.24 [9193]~P1(f317(f127(f902(x91931)),x91932))+P1(f317(f127(x91931),f317(f132(f902(x91931),f902(x91931),f124(x91931),f103(x91931)),x91932)))+P1(f317(f317(f319(f902(x91931)),f712(x91932,x91931)),f317(f162(f902(x91931)),x91932)))+P1(f317(f317(f319(f902(x91931)),f713(x91932,x91931)),f317(f162(f902(x91931)),x91932)))
% 199.17/199.24 [9194]~P1(f317(f127(f902(x91941)),x91942))+P1(f317(f127(x91941),f317(f132(f902(x91941),f902(x91941),f124(x91941),f103(x91941)),x91942)))+P1(f317(f317(f319(f902(x91941)),f711(x91942,x91941)),f317(f162(f902(x91941)),x91942)))+P1(f317(f317(f319(f902(x91941)),f713(x91942,x91941)),f317(f162(f902(x91941)),x91942)))
% 199.17/199.24 [9208]~E(f317(f317(f92(f907(x92081,a897)),f317(f162(x92081),f712(x92082,x92081))),f317(f162(x92081),f711(x92082,x92081))),f179(f907(x92081,a897)))+~P1(f317(f127(x92081),f713(x92082,x92081)))+~P1(f317(f127(f902(x92081)),x92082))+P1(f317(f127(x92081),f317(f132(f902(x92081),f902(x92081),f124(x92081),f103(x92081)),x92082)))
% 199.17/199.24 [9280]~E(f317(f317(f92(f907(x92801,a897)),f317(f162(x92801),f712(x92802,x92801))),f317(f162(x92801),f711(x92802,x92801))),f179(f907(x92801,a897)))+~P1(f317(f127(f902(x92801)),x92802))+P1(f317(f127(x92801),f317(f132(f902(x92801),f902(x92801),f124(x92801),f103(x92801)),x92802)))+P1(f317(f317(f319(f902(x92801)),f713(x92802,x92801)),f317(f162(f902(x92801)),x92802)))
% 199.17/199.24 [9567]E(x95671,f2(a1))+E(x95672,f2(a1))+E(f317(f317(f82(a1,f906(a1,a1)),f317(f317(a208,x95672),x95671)),f317(f317(f20(a1,a1,f906(a1,a1)),f317(f317(f10(a1,f907(a1,f906(a1,a1)),a1),f242(a1,a1)),f317(f30(a1),x95672))),f317(f30(a1),x95671))),f206(x95672,x95671))+P1(f317(f317(f225(a1),x95671),f2(a1)))
% 199.17/199.24 [8440]~P97(x84402)+~P119(x84402)+~P1(f317(f317(f224(x84402),f317(f94(x84402),x84401)),f72(x84402)))+P1(f317(f317(f224(a1),x84401),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)))
% 199.17/199.24 [8441]~P97(x84412)+~P119(x84412)+~P1(f317(f317(f225(x84412),f317(f94(x84412),x84411)),f72(x84412)))+P1(f317(f317(f225(a1),x84411),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)))
% 199.17/199.24 [8719]~P119(x87191)+~P97(x87191)+P1(f317(f317(f224(x87191),f317(f94(x87191),x87192)),f72(x87191)))+~P1(f317(f317(f224(a1),x87192),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)))
% 199.17/199.24 [8720]~P119(x87201)+~P97(x87201)+P1(f317(f317(f225(x87201),f317(f94(x87201),x87202)),f72(x87201)))+~P1(f317(f317(f225(a1),x87202),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)))
% 199.17/199.24 [8922]~P97(x89222)+~P119(x89222)+~P1(f317(f317(f224(x89222),f72(x89222)),f317(f94(x89222),x89221)))+P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)),x89221))
% 199.17/199.24 [8923]~P97(x89232)+~P119(x89232)+~P1(f317(f317(f225(x89232),f72(x89232)),f317(f94(x89232),x89231)))+P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)),x89231))
% 199.17/199.24 [9267]~P119(x92671)+~P97(x92671)+P1(f317(f317(f224(x92671),f72(x92671)),f317(f94(x92671),x92672)))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)),x92672))
% 199.17/199.24 [9268]~P119(x92681)+~P97(x92681)+P1(f317(f317(f225(x92681),f72(x92681)),f317(f94(x92681),x92682)))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77)),x92682))
% 199.17/199.24 [9402]~P96(x94021)+~P97(x94021)+~P25(x94021,f317(f94(x94021),x94022))+P25(x94021,f317(f94(x94021),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x94022)),x94022)),a87)))
% 199.17/199.24 [9633]~P96(x96331)+~P97(x96331)+P25(x96331,f317(f94(x96331),x96332))+~P25(x96331,f317(f94(x96331),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x96332)),x96332)),a87)))
% 199.17/199.24 [10140]~P140(x101402)+E(x101401,f72(x101402))+E(x101401,f317(f73(x101402),f72(x101402)))+~E(f317(f317(f234(x101402),x101401),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f72(x101402))
% 199.17/199.24 [10223]~P63(x102231)+~P97(x102231)+~P1(f317(f317(f225(x102231),f2(x102231)),x102232))+P1(f317(f317(f225(x102231),f2(x102231)),f317(f317(f280(x102231),x102232),f317(f94(x102231),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))))
% 199.17/199.24 [10270]~P63(x102701)+~P97(x102701)+P1(f317(f317(f225(x102701),f2(x102701)),x102702))+~P1(f317(f317(f225(x102701),f2(x102701)),f317(f317(f280(x102701),x102702),f317(f94(x102701),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))))
% 199.17/199.24 [10356]~P141(x103562)+E(x103561,f2(a1))+P1(f317(f317(f225(a1),x103561),f2(a1)))+E(f317(f317(f247(a1,a1,x103562),f317(f317(f9(a1,f907(a1,f907(x103562,x103562)),f907(a1,x103562)),f317(f317(f10(f907(f907(x103562,x103562),x103562),f907(f907(a1,f907(x103562,x103562)),f907(a1,x103562)),a1),f10(f907(x103562,x103562),x103562,a1)),f317(f317(f10(x103562,f907(f907(x103562,x103562),x103562),a1),f82(x103562,x103562)),f93(x103562)))),f317(f317(f9(a1,f907(x103562,x103562),f907(x103562,x103562)),f317(f317(f10(f907(x103562,f907(x103562,x103562)),f907(f907(x103562,x103562),f907(x103562,x103562)),a1),f20(x103562,x103562,x103562)),f317(f317(f9(a1,f907(x103562,x103562),f907(x103562,f907(x103562,x103562))),f317(f317(f10(f907(x103562,f907(x103562,x103562)),f907(f907(x103562,x103562),f907(x103562,f907(x103562,x103562))),a1),f10(x103562,f907(x103562,x103562),x103562)),f317(f317(f10(a897,f907(x103562,f907(x103562,x103562)),a1),f86(x103562)),f317(f317(f9(a1,a1,a897),a314),f2(a1))))),f317(f317(f20(x103562,x103562,x103562),f74(x103562)),f7(x103562))))),f317(f317(f9(x103562,x103562,x103562),f317(f317(f10(x103562,f907(x103562,x103562),x103562),f74(x103562)),f317(f317(f20(x103562,x103562,x103562),f74(x103562)),f7(x103562)))),f72(x103562))))),f41(x103561,f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))),f317(f93(x103562),x103561))
% 199.17/199.24 [5393]~P35(x53931,x53933)+~P49(x53931,x53933)+~P50(x53931,x53932,x53933)+P6(x53931,x53932,x53933)
% 199.17/199.24 [4929]~P96(x49293)+~P97(x49293)+E(x49291,x49292)+~E(f317(f94(x49293),x49291),f317(f94(x49293),x49292))
% 199.17/199.24 [5403]~P47(x54031,x54032)+~P48(x54031,x54032)+P13(x54031,x54032)+~P1(f317(f317(x54032,x54033),x54033))
% 199.17/199.24 [5913]P13(x59132,x59131)+E(f317(x59131,f787(x59131)),f317(x59131,f789(x59131)))+P1(f317(f317(x59131,f787(x59131)),f789(x59131)))+~P1(f317(f317(x59131,x59133),x59133))
% 199.17/199.24 [6117]~P1(f317(x61171,x61172))+~P1(f317(x61171,x61173))+~P1(f317(f317(f224(a901),x61173),f346(x61172,x61171)))+P1(f317(x61171,f2(a901)))
% 199.17/199.24 [6184]P13(x61841,x61842)+P1(f317(f317(x61842,f787(x61842)),f787(x61842)))+P1(f317(f317(x61842,f787(x61842)),f789(x61842)))+~P1(f317(f317(x61842,x61843),x61843))
% 199.17/199.24 [6185]P13(x61851,x61852)+P1(f317(f317(x61852,f787(x61852)),f789(x61852)))+P1(f317(f317(x61852,f789(x61852)),f789(x61852)))+~P1(f317(f317(x61852,x61853),x61853))
% 199.17/199.24 [6544]P148(x65442,x65443,x65441)+E(x65441,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f842(x65441,x65443,x65442)))+P1(f317(f317(f225(a1),x65441),f2(a1)))
% 199.17/199.24 [6545]P147(x65452,x65453,x65451)+E(x65451,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f847(x65451,x65453,x65452)))+P1(f317(f317(f225(a1),x65451),f2(a1)))
% 199.17/199.24 [6671]P147(x66711,x66712,x66713)+~P1(f317(x66711,x66712))+P1(f317(f317(f224(a1),f2(a1)),f847(x66713,x66712,x66711)))+P1(f317(f317(f225(a1),x66713),f2(a1)))
% 199.17/199.24 [6697]P148(x66971,x66972,x66973)+P1(f317(f317(f224(a1),f2(a1)),f842(x66973,x66972,x66971)))+~P1(f317(x66971,f2(a1)))+P1(f317(f317(f225(a1),x66973),f2(a1)))
% 199.17/199.24 [6729]P148(x67292,x67293,x67291)+E(x67291,f2(a1))+~P1(f317(x67292,f843(x67291,x67293,x67292)))+P1(f317(f317(f225(a1),x67291),f2(a1)))
% 199.17/199.24 [6730]P147(x67302,x67303,x67301)+E(x67301,f2(a1))+~P1(f317(x67302,f847(x67301,x67303,x67302)))+P1(f317(f317(f225(a1),x67301),f2(a1)))
% 199.17/199.24 [6832]~P108(x68321)+~P3(x68321)+~P1(f317(f317(f225(x68321),x68322),f31(x68321,x68323)))+P1(f317(f317(f225(x68321),x68322),f875(x68323,x68322,x68321)))
% 199.17/199.24 [6842]P147(x68421,x68422,x68423)+~P1(f317(x68421,x68422))+~P1(f317(x68421,f847(x68423,x68422,x68421)))+P1(f317(f317(f225(a1),x68423),f2(a1)))
% 199.17/199.24 [6869]P148(x68691,x68692,x68693)+~P1(f317(x68691,f843(x68693,x68692,x68691)))+~P1(f317(x68691,f2(a1)))+P1(f317(f317(f225(a1),x68693),f2(a1)))
% 199.17/199.24 [7120]P148(x71202,x71203,x71201)+E(x71201,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f842(x71201,x71203,x71202)))+P1(f317(f317(f225(a1),x71201),f841(x71201,x71203,x71202)))
% 199.17/199.24 [7121]P147(x71212,x71213,x71211)+E(x71211,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f847(x71211,x71213,x71212)))+P1(f317(f317(f225(a1),x71211),f846(x71211,x71213,x71212)))
% 199.17/199.24 [7240]P147(x72401,x72402,x72403)+~P1(f317(x72401,x72402))+P1(f317(f317(f224(a1),f2(a1)),f847(x72403,x72402,x72401)))+P1(f317(f317(f225(a1),x72403),f846(x72403,x72402,x72401)))
% 199.17/199.24 [7261]P148(x72611,x72612,x72613)+P1(f317(f317(f224(a1),f2(a1)),f842(x72613,x72612,x72611)))+P1(f317(f317(f225(a1),x72613),f841(x72613,x72612,x72611)))+~P1(f317(x72611,f2(a1)))
% 199.17/199.24 [7292]P148(x72922,x72923,x72921)+E(x72921,f2(a1))+~P1(f317(x72922,f843(x72921,x72923,x72922)))+P1(f317(f317(f225(a1),x72921),f841(x72921,x72923,x72922)))
% 199.17/199.24 [7293]P147(x72932,x72933,x72931)+E(x72931,f2(a1))+~P1(f317(x72932,f847(x72931,x72933,x72932)))+P1(f317(f317(f225(a1),x72931),f846(x72931,x72933,x72932)))
% 199.17/199.24 [7337]P148(x73372,x73373,x73371)+E(x73371,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f842(x73371,x73373,x73372)))+~P1(f317(x73372,f845(x73371,x73373,x73372)))
% 199.17/199.24 [7338]P147(x73382,x73383,x73381)+E(x73381,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f847(x73381,x73383,x73382)))+~P1(f317(x73382,f846(x73381,x73383,x73382)))
% 199.17/199.24 [7432]P147(x74321,x74322,x74323)+~P1(f317(x74321,x74322))+~P1(f317(x74321,f847(x74323,x74322,x74321)))+P1(f317(f317(f225(a1),x74323),f846(x74323,x74322,x74321)))
% 199.17/199.24 [7441]P148(x74411,x74412,x74413)+~P1(f317(x74411,f843(x74413,x74412,x74411)))+P1(f317(f317(f225(a1),x74413),f841(x74413,x74412,x74411)))+~P1(f317(x74411,f2(a1)))
% 199.17/199.24 [7444]P147(x74441,x74442,x74443)+~P1(f317(x74441,x74442))+P1(f317(f317(f224(a1),f2(a1)),f847(x74443,x74442,x74441)))+~P1(f317(x74441,f846(x74443,x74442,x74441)))
% 199.17/199.24 [7461]P148(x74611,x74612,x74613)+P1(f317(f317(f224(a1),f2(a1)),f842(x74613,x74612,x74611)))+~P1(f317(x74611,f845(x74613,x74612,x74611)))+~P1(f317(x74611,f2(a1)))
% 199.17/199.24 [7483]P148(x74832,x74833,x74831)+E(x74831,f2(a1))+~P1(f317(x74832,f843(x74831,x74833,x74832)))+~P1(f317(x74832,f845(x74831,x74833,x74832)))
% 199.17/199.24 [7484]P147(x74842,x74843,x74841)+E(x74841,f2(a1))+~P1(f317(x74842,f847(x74841,x74843,x74842)))+~P1(f317(x74842,f846(x74841,x74843,x74842)))
% 199.17/199.24 [7568]P147(x75681,x75682,x75683)+~P1(f317(x75681,x75682))+~P1(f317(x75681,f847(x75683,x75682,x75681)))+~P1(f317(x75681,f846(x75683,x75682,x75681)))
% 199.17/199.24 [7586]P148(x75861,x75862,x75863)+~P1(f317(x75861,f843(x75863,x75862,x75861)))+~P1(f317(x75861,f845(x75863,x75862,x75861)))+~P1(f317(x75861,f2(a1)))
% 199.17/199.24 [7633]P148(x76332,x76333,x76331)+E(x76331,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f842(x76331,x76333,x76332)))+P1(f317(f317(f224(a1),f841(x76331,x76333,x76332)),f2(a1)))
% 199.17/199.24 [7634]P147(x76342,x76343,x76341)+E(x76341,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f847(x76341,x76343,x76342)))+P1(f317(f317(f224(a1),f846(x76341,x76343,x76342)),f2(a1)))
% 199.17/199.24 [7635]~P141(x76351)+~P1(f317(f317(f319(x76351),x76353),f100(x76351)))+~P1(f317(f317(f319(x76351),x76352),f100(x76351)))+P1(f317(f317(f319(x76351),f317(f317(f3(x76351),x76352),x76353)),f100(x76351)))
% 199.17/199.24 [7636]~P141(x76361)+~P1(f317(f317(f319(x76361),x76363),f100(x76361)))+~P1(f317(f317(f319(x76361),x76362),f100(x76361)))+P1(f317(f317(f319(x76361),f317(f317(f74(x76361),x76362),x76363)),f100(x76361)))
% 199.17/199.24 [7637]~P146(x76371)+~P1(f317(f317(f319(x76371),x76373),f176(x76371)))+~P1(f317(f317(f319(x76371),x76372),f176(x76371)))+P1(f317(f317(f319(x76371),f317(f317(f74(x76371),x76372),x76373)),f176(x76371)))
% 199.17/199.24 [7638]~P141(x76381)+~P1(f317(f317(f319(x76381),x76383),f100(x76381)))+~P1(f317(f317(f319(x76381),x76382),f100(x76381)))+P1(f317(f317(f319(x76381),f317(f317(f75(x76381),x76382),x76383)),f100(x76381)))
% 199.17/199.24 [7639]~P146(x76391)+~P1(f317(f317(f319(x76391),x76393),f176(x76391)))+~P1(f317(f317(f319(x76391),x76392),f176(x76391)))+P1(f317(f317(f319(x76391),f317(f317(f75(x76391),x76392),x76393)),f176(x76391)))
% 199.17/199.24 [7640]~P92(x76401)+~P1(f317(f317(f224(x76401),x76403),f2(x76401)))+~P1(f317(f317(f224(x76401),x76402),f2(x76401)))+P1(f317(f317(f224(x76401),f317(f317(f74(x76401),x76402),x76403)),f2(x76401)))
% 199.17/199.24 [7641]~P92(x76411)+~P1(f317(f317(f224(x76411),x76413),f2(x76411)))+~P1(f317(f317(f225(x76411),x76412),f2(x76411)))+P1(f317(f317(f225(x76411),f317(f317(f74(x76411),x76412),x76413)),f2(x76411)))
% 199.17/199.24 [7642]~P92(x76421)+~P1(f317(f317(f224(x76421),x76422),f2(x76421)))+~P1(f317(f317(f225(x76421),x76423),f2(x76421)))+P1(f317(f317(f225(x76421),f317(f317(f74(x76421),x76422),x76423)),f2(x76421)))
% 199.17/199.24 [7643]~P92(x76431)+~P1(f317(f317(f225(x76431),x76433),f2(x76431)))+~P1(f317(f317(f225(x76431),x76432),f2(x76431)))+P1(f317(f317(f225(x76431),f317(f317(f74(x76431),x76432),x76433)),f2(x76431)))
% 199.17/199.24 [7669]P148(x76693,x76692,x76691)+E(x76691,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x76691),f843(x76691,x76692,x76693))),f842(x76691,x76692,x76693)),x76692)+P1(f317(f317(f225(a1),x76691),f2(a1)))
% 199.17/199.24 [7670]P147(x76703,x76702,x76701)+E(x76701,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x76701),f848(x76701,x76702,x76703))),f847(x76701,x76702,x76703)),x76702)+P1(f317(f317(f225(a1),x76701),f2(a1)))
% 199.17/199.24 [7751]P147(x77511,x77512,x77513)+~P1(f317(x77511,x77512))+P1(f317(f317(f224(a1),f2(a1)),f847(x77513,x77512,x77511)))+P1(f317(f317(f224(a1),f846(x77513,x77512,x77511)),f2(a1)))
% 199.17/199.24 [7782]P148(x77821,x77822,x77823)+P1(f317(f317(f224(a1),f2(a1)),f842(x77823,x77822,x77821)))+~P1(f317(x77821,f2(a1)))+P1(f317(f317(f224(a1),f841(x77823,x77822,x77821)),f2(a1)))
% 199.17/199.24 [7791]P147(x77913,x77912,x77911)+~P1(f317(x77913,x77912))+E(f317(f317(f74(a1),f317(f317(f75(a1),x77911),f848(x77911,x77912,x77913))),f847(x77911,x77912,x77913)),x77912)+P1(f317(f317(f225(a1),x77911),f2(a1)))
% 199.17/199.24 [7797]P148(x77972,x77973,x77971)+E(x77971,f2(a1))+~P1(f317(x77972,f843(x77971,x77973,x77972)))+P1(f317(f317(f224(a1),f841(x77971,x77973,x77972)),f2(a1)))
% 199.17/199.24 [7798]P147(x77982,x77983,x77981)+E(x77981,f2(a1))+~P1(f317(x77982,f847(x77981,x77983,x77982)))+P1(f317(f317(f224(a1),f846(x77981,x77983,x77982)),f2(a1)))
% 199.17/199.24 [7802]P148(x78023,x78022,x78021)+E(f317(f317(f74(a1),f317(f317(f75(a1),x78021),f843(x78021,x78022,x78023))),f842(x78021,x78022,x78023)),x78022)+~P1(f317(x78023,f2(a1)))+P1(f317(f317(f225(a1),x78021),f2(a1)))
% 199.17/199.24 [7859]P147(x78591,x78592,x78593)+~P1(f317(x78591,x78592))+~P1(f317(x78591,f847(x78593,x78592,x78591)))+P1(f317(f317(f224(a1),f846(x78593,x78592,x78591)),f2(a1)))
% 199.17/199.24 [7864]P148(x78641,x78642,x78643)+~P1(f317(x78641,f843(x78643,x78642,x78641)))+~P1(f317(x78641,f2(a1)))+P1(f317(f317(f224(a1),f841(x78643,x78642,x78641)),f2(a1)))
% 199.17/199.24 [7936]~P128(x79361)+~P1(f317(f317(f224(x79361),f317(f317(f75(x79361),x79363),x79362)),f2(x79361)))+P1(f317(f317(f224(x79361),x79362),f2(x79361)))+P1(f317(f317(f224(x79361),x79363),f2(x79361)))
% 199.17/199.24 [7937]~P63(x79371)+~P1(f317(f317(f224(x79371),f317(f317(f280(x79371),x79373),x79372)),f2(x79371)))+P1(f317(f317(f224(x79371),x79372),f2(x79371)))+P1(f317(f317(f224(x79371),x79373),f2(x79371)))
% 199.17/199.24 [7938]~P63(x79381)+~P1(f317(f317(f225(x79381),f317(f317(f280(x79381),x79383),x79382)),f2(x79381)))+P1(f317(f317(f225(x79381),x79382),f2(x79381)))+P1(f317(f317(f225(x79381),x79383),f2(x79381)))
% 199.17/199.24 [8043]P148(x80433,x80432,x80431)+E(x80431,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x80431),f843(x80431,x80432,x80433))),f842(x80431,x80432,x80433)),x80432)+P1(f317(f317(f225(a1),x80431),f841(x80431,x80432,x80433)))
% 199.17/199.24 [8044]P147(x80443,x80442,x80441)+E(x80441,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x80441),f848(x80441,x80442,x80443))),f847(x80441,x80442,x80443)),x80442)+P1(f317(f317(f225(a1),x80441),f846(x80441,x80442,x80443)))
% 199.17/199.24 [8056]P148(x80563,x80562,x80561)+E(x80561,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x80561),f845(x80561,x80562,x80563))),f841(x80561,x80562,x80563)),x80562)+P1(f317(f317(f224(a1),f2(a1)),f842(x80561,x80562,x80563)))
% 199.17/199.24 [8057]P147(x80573,x80572,x80571)+E(x80571,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x80571),f849(x80571,x80572,x80573))),f846(x80571,x80572,x80573)),x80572)+P1(f317(f317(f224(a1),f2(a1)),f847(x80571,x80572,x80573)))
% 199.17/199.24 [8097]P147(x80973,x80972,x80971)+~P1(f317(x80973,x80972))+E(f317(f317(f74(a1),f317(f317(f75(a1),x80971),f848(x80971,x80972,x80973))),f847(x80971,x80972,x80973)),x80972)+P1(f317(f317(f225(a1),x80971),f846(x80971,x80972,x80973)))
% 199.17/199.24 [8106]P148(x81063,x81062,x81061)+E(f317(f317(f74(a1),f317(f317(f75(a1),x81061),f843(x81061,x81062,x81063))),f842(x81061,x81062,x81063)),x81062)+P1(f317(f317(f225(a1),x81061),f841(x81061,x81062,x81063)))+~P1(f317(x81063,f2(a1)))
% 199.17/199.24 [8112]P147(x81123,x81122,x81121)+~P1(f317(x81123,x81122))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81121),f849(x81121,x81122,x81123))),f846(x81121,x81122,x81123)),x81122)+P1(f317(f317(f224(a1),f2(a1)),f847(x81121,x81122,x81123)))
% 199.17/199.24 [8118]P148(x81183,x81182,x81181)+E(f317(f317(f74(a1),f317(f317(f75(a1),x81181),f845(x81181,x81182,x81183))),f841(x81181,x81182,x81183)),x81182)+P1(f317(f317(f224(a1),f2(a1)),f842(x81181,x81182,x81183)))+~P1(f317(x81183,f2(a1)))
% 199.17/199.24 [8129]P148(x81293,x81292,x81291)+E(x81291,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81291),f843(x81291,x81292,x81293))),f842(x81291,x81292,x81293)),x81292)+~P1(f317(x81293,f845(x81291,x81292,x81293)))
% 199.17/199.24 [8130]P147(x81303,x81302,x81301)+E(x81301,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81301),f848(x81301,x81302,x81303))),f847(x81301,x81302,x81303)),x81302)+~P1(f317(x81303,f846(x81301,x81302,x81303)))
% 199.17/199.24 [8131]P148(x81313,x81312,x81311)+E(x81311,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81311),f845(x81311,x81312,x81313))),f841(x81311,x81312,x81313)),x81312)+~P1(f317(x81313,f843(x81311,x81312,x81313)))
% 199.17/199.24 [8132]P147(x81323,x81322,x81321)+E(x81321,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81321),f849(x81321,x81322,x81323))),f846(x81321,x81322,x81323)),x81322)+~P1(f317(x81323,f847(x81321,x81322,x81323)))
% 199.17/199.24 [8194]P147(x81943,x81942,x81941)+~P1(f317(x81943,x81942))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81941),f848(x81941,x81942,x81943))),f847(x81941,x81942,x81943)),x81942)+~P1(f317(x81943,f846(x81941,x81942,x81943)))
% 199.17/199.24 [8195]P147(x81953,x81952,x81951)+~P1(f317(x81953,x81952))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81951),f849(x81951,x81952,x81953))),f846(x81951,x81952,x81953)),x81952)+~P1(f317(x81953,f847(x81951,x81952,x81953)))
% 199.17/199.24 [8209]P148(x82093,x82092,x82091)+E(f317(f317(f74(a1),f317(f317(f75(a1),x82091),f843(x82091,x82092,x82093))),f842(x82091,x82092,x82093)),x82092)+~P1(f317(x82093,f845(x82091,x82092,x82093)))+~P1(f317(x82093,f2(a1)))
% 199.17/199.24 [8210]P148(x82103,x82102,x82101)+E(f317(f317(f74(a1),f317(f317(f75(a1),x82101),f845(x82101,x82102,x82103))),f841(x82101,x82102,x82103)),x82102)+~P1(f317(x82103,f843(x82101,x82102,x82103)))+~P1(f317(x82103,f2(a1)))
% 199.17/199.24 [8310]P148(x83103,x83102,x83101)+E(x83101,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83101),f843(x83101,x83102,x83103))),f842(x83101,x83102,x83103)),x83102)+P1(f317(f317(f224(a1),f841(x83101,x83102,x83103)),f2(a1)))
% 199.17/199.24 [8311]P147(x83113,x83112,x83111)+E(x83111,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83111),f848(x83111,x83112,x83113))),f847(x83111,x83112,x83113)),x83112)+P1(f317(f317(f224(a1),f846(x83111,x83112,x83113)),f2(a1)))
% 199.17/199.24 [8348]P147(x83483,x83482,x83481)+~P1(f317(x83483,x83482))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83481),f848(x83481,x83482,x83483))),f847(x83481,x83482,x83483)),x83482)+P1(f317(f317(f224(a1),f846(x83481,x83482,x83483)),f2(a1)))
% 199.17/199.24 [8353]P148(x83533,x83532,x83531)+E(f317(f317(f74(a1),f317(f317(f75(a1),x83531),f843(x83531,x83532,x83533))),f842(x83531,x83532,x83533)),x83532)+~P1(f317(x83533,f2(a1)))+P1(f317(f317(f224(a1),f841(x83531,x83532,x83533)),f2(a1)))
% 199.17/199.24 [8485]P148(x84853,x84852,x84851)+E(x84851,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x84851),f845(x84851,x84852,x84853))),f841(x84851,x84852,x84853)),x84852)+E(f317(f317(f74(a1),f317(f317(f75(a1),x84851),f843(x84851,x84852,x84853))),f842(x84851,x84852,x84853)),x84852)
% 199.17/199.24 [8486]P147(x84863,x84862,x84861)+E(x84861,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x84861),f849(x84861,x84862,x84863))),f846(x84861,x84862,x84863)),x84862)+E(f317(f317(f74(a1),f317(f317(f75(a1),x84861),f848(x84861,x84862,x84863))),f847(x84861,x84862,x84863)),x84862)
% 199.17/199.24 [8506]P147(x85063,x85062,x85061)+~P1(f317(x85063,x85062))+E(f317(f317(f74(a1),f317(f317(f75(a1),x85061),f849(x85061,x85062,x85063))),f846(x85061,x85062,x85063)),x85062)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85061),f848(x85061,x85062,x85063))),f847(x85061,x85062,x85063)),x85062)
% 199.17/199.24 [8513]P148(x85133,x85132,x85131)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85131),f845(x85131,x85132,x85133))),f841(x85131,x85132,x85133)),x85132)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85131),f843(x85131,x85132,x85133))),f842(x85131,x85132,x85133)),x85132)+~P1(f317(x85133,f2(a1)))
% 199.17/199.24 [9167]~P128(x91671)+~E(x91673,f2(x91671))+~E(x91672,f2(x91671))+P1(f317(f317(f224(x91671),f317(f317(f74(x91671),f317(f317(f75(x91671),x91672),x91672)),f317(f317(f75(x91671),x91673),x91673))),f2(x91671)))
% 199.17/199.24 [10369]~P119(x103691)+~E(x103693,f2(x103691))+~E(x103692,f2(x103691))+P1(f317(f317(f224(x103691),f317(f317(f74(x103691),f317(f317(f234(x103691),x103692),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))),f317(f317(f234(x103691),x103693),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))))),f2(x103691)))
% 199.17/199.24 [4879]~E(x48793,x48791)+~P122(x48792)+E(x48791,f2(x48792))+E(f317(f317(f280(x48792),x48793),x48791),f72(x48792))
% 199.17/199.24 [4930]~P69(x49301)+~E(x49303,f179(x49301))+~E(x49302,f179(x49301))+E(f317(f317(f91(x49301),x49302),x49303),f179(x49301))
% 199.17/199.24 [4931]~P102(x49311)+~E(x49313,f232(x49311))+~E(x49312,f232(x49311))+E(f317(f317(f92(x49311),x49312),x49313),f232(x49311))
% 199.17/199.24 [5029]~P122(x50293)+E(x50291,x50292)+E(x50292,f2(x50293))+~E(f317(f317(f280(x50293),x50291),x50292),f72(x50293))
% 199.17/199.24 [5047]~P132(x50472)+E(x50471,f2(x50472))+E(x50473,f2(x50472))+~E(f317(f317(f75(x50472),x50473),x50471),f2(x50472))
% 199.17/199.24 [5048]~P142(x50482)+E(x50481,f2(x50482))+E(x50483,f2(x50482))+~E(f317(f317(f75(x50482),x50483),x50481),f2(x50482))
% 199.17/199.24 [5424]~P120(x54243)+E(x54241,x54242)+E(x54241,f317(f73(x54243),x54242))+~E(f317(f317(f75(x54243),x54241),x54241),f317(f317(f75(x54243),x54242),x54242))
% 199.17/199.24 [5463]~P89(x54631)+E(f317(f73(x54631),x54632),x54633)+~E(f317(f317(f91(x54631),x54632),x54633),f232(x54631))+~E(f317(f317(f92(x54631),x54632),x54633),f179(x54631))
% 199.17/199.24 [5544]~P119(x55443)+E(x55441,x55442)+P1(f317(f317(f225(x55443),x55442),x55441))+P1(f317(f317(f225(x55443),x55441),x55442))
% 199.17/199.24 [5545]~P108(x55453)+E(x55451,x55452)+P1(f317(f317(f225(x55453),x55452),x55451))+P1(f317(f317(f225(x55453),x55451),x55452))
% 199.17/199.24 [5546]~E(x55462,x55463)+~P108(x55461)+P1(f317(f317(f225(x55461),x55462),x55463))+P1(f317(f317(f224(x55461),x55462),x55463))
% 199.17/199.24 [5808]~P109(x58083)+E(x58081,x58082)+~P1(f317(f317(f224(x58083),x58082),x58081))+P1(f317(f317(f225(x58083),x58082),x58081))
% 199.17/199.24 [5810]~P108(x58103)+E(x58101,x58102)+~P1(f317(f317(f224(x58103),x58101),x58102))+P1(f317(f317(f225(x58103),x58101),x58102))
% 199.17/199.24 [5816]~P109(x58163)+E(x58161,x58162)+~P1(f317(f317(f224(x58163),x58161),x58162))+P1(f317(f317(f225(x58163),x58161),x58162))
% 199.17/199.24 [5930]P147(x59301,x59302,x59303)+~P1(f317(x59301,x59302))+P1(f317(f317(f225(a1),x59303),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x59303))
% 199.17/199.24 [5984]P148(x59841,x59842,x59843)+~P1(f317(x59841,f2(a1)))+P1(f317(f317(f225(a1),x59843),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x59843))
% 199.17/199.24 [5989]~P68(x59891)+E(f317(f317(f91(x59891),x59892),f13(x59891,x59893)),x59892)+~P1(f317(f28(x59891),x59893))+~P1(f317(f317(f319(x59891),x59892),x59893))
% 199.17/199.24 [5990]~P68(x59901)+E(f317(f317(f92(x59901),x59902),f12(x59901,x59903)),x59902)+~P1(f317(f28(x59901),x59903))+~P1(f317(f317(f319(x59901),x59902),x59903))
% 199.17/199.24 [6028]~P68(x60281)+E(f317(f317(f91(x60281),x60282),f12(x60281,x60283)),f12(x60281,x60283))+~P1(f317(f28(x60281),x60283))+~P1(f317(f317(f319(x60281),x60282),x60283))
% 199.17/199.24 [6029]~P108(x60291)+E(f317(f317(f228(x60291),x60292),f17(x60291,x60293)),f17(x60291,x60293))+~P1(f317(f28(x60291),x60293))+~P1(f317(f317(f319(x60291),x60292),x60293))
% 199.17/199.24 [6030]~P108(x60301)+E(f317(f317(f178(x60301),x60302),f16(x60301,x60303)),f16(x60301,x60303))+~P1(f317(f28(x60301),x60303))+~P1(f317(f317(f319(x60301),x60302),x60303))
% 199.17/199.24 [6031]~P68(x60311)+E(f317(f317(f92(x60311),x60312),f13(x60311,x60313)),f13(x60311,x60313))+~P1(f317(f28(x60311),x60313))+~P1(f317(f317(f319(x60311),x60312),x60313))
% 199.17/199.24 [6070]E(x60701,x60702)+~P109(x60703)+~P1(f317(f317(f224(x60703),x60702),x60701))+~P1(f317(f317(f224(x60703),x60701),x60702))
% 199.17/199.24 [6213]~P65(x62131)+P1(f317(f317(f225(x62131),x62133),x62132))+~P1(f317(f317(f224(x62131),x62133),x62132))+P1(f317(f317(f224(x62131),x62132),x62133))
% 199.17/199.24 [6243]~P108(x62431)+~P1(f317(f28(x62431),x62433))+P1(f317(f317(f224(x62431),x62432),f16(x62431,x62433)))+~P1(f317(f317(f319(x62431),x62432),x62433))
% 199.17/199.24 [6287]~P108(x62871)+E(f317(f317(f228(x62871),x62872),f14(x62871,f178(x62871),x62873)),x62872)+~P1(f317(f28(x62871),x62873))+~P1(f317(f317(f319(x62871),x62872),x62873))
% 199.17/199.24 [6288]~P108(x62881)+E(f317(f317(f178(x62881),x62882),f15(x62881,f228(x62881),x62883)),x62882)+~P1(f317(f28(x62881),x62883))+~P1(f317(f317(f319(x62881),x62882),x62883))
% 199.17/199.24 [6431]E(x64311,x64312)+~E(f317(f317(f3(a901),x64311),x64313),f317(f317(f3(a901),x64312),x64313))+~P1(f317(f317(f224(a901),x64313),x64311))+~P1(f317(f317(f224(a901),x64313),x64312))
% 199.17/199.24 [6458]~P108(x64581)+~P1(f317(f28(x64581),x64582))+~P1(f317(f317(f319(x64581),x64583),x64582))+P1(f317(f317(f224(x64581),f17(x64581,x64582)),x64583))
% 199.17/199.24 [6523]P148(x65232,x65233,x65231)+E(x65231,f2(a1))+P1(f317(f317(f225(a1),x65231),f841(x65231,x65233,x65232)))+P1(f317(f317(f225(a1),f2(a1)),x65231))
% 199.17/199.24 [6524]P147(x65242,x65243,x65241)+E(x65241,f2(a1))+P1(f317(f317(f225(a1),x65241),f846(x65241,x65243,x65242)))+P1(f317(f317(f225(a1),f2(a1)),x65241))
% 199.17/199.24 [6525]~P108(x65251)+E(f317(f317(f228(x65251),x65252),f15(x65251,f228(x65251),x65253)),f15(x65251,f228(x65251),x65253))+~P1(f317(f28(x65251),x65253))+~P1(f317(f317(f319(x65251),x65252),x65253))
% 199.17/199.24 [6526]~P108(x65261)+E(f317(f317(f178(x65261),x65262),f14(x65261,f178(x65261),x65263)),f14(x65261,f178(x65261),x65263))+~P1(f317(f28(x65261),x65263))+~P1(f317(f317(f319(x65261),x65262),x65263))
% 199.17/199.24 [6531]~P1(f317(x65311,x65312))+P1(f317(x65311,f429(x65312,x65311,x65313)))+P1(f317(x65311,f2(a901)))+~P1(f317(f317(f225(a901),x65312),x65313))
% 199.17/199.24 [6591]~P1(f317(x65911,x65912))+~P1(f317(f28(x65913),x65912))+P1(f317(x65911,f527(x65911,x65912,x65913)))+P1(f317(x65911,f179(f907(x65913,a897))))
% 199.17/199.24 [6604]~P119(x66041)+~P97(x66041)+P1(f317(f317(f224(x66041),f317(f94(x66041),x66042)),f317(f94(x66041),x66043)))+~P1(f317(f317(f224(a1),x66042),x66043))
% 199.17/199.24 [6605]~P119(x66051)+~P97(x66051)+P1(f317(f317(f225(x66051),f317(f94(x66051),x66052)),f317(f94(x66051),x66053)))+~P1(f317(f317(f225(a1),x66052),x66053))
% 199.17/199.24 [6608]~P1(f317(x66081,x66083))+~P1(f317(f28(x66082),x66083))+P1(f317(f28(x66082),f527(x66081,x66083,x66082)))+P1(f317(x66081,f179(f907(x66082,a897))))
% 199.17/199.24 [6640]P147(x66401,x66402,x66403)+~P1(f317(x66401,x66402))+P1(f317(f317(f225(a1),x66403),f846(x66403,x66402,x66401)))+P1(f317(f317(f225(a1),f2(a1)),x66403))
% 199.17/199.24 [6678]P148(x66781,x66782,x66783)+P1(f317(f317(f225(a1),x66783),f841(x66783,x66782,x66781)))+~P1(f317(x66781,f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x66783))
% 199.17/199.24 [6708]~P107(x67081)+~P98(x67081)+E(f317(f317(f228(x67081),f317(f94(x67081),x67082)),f317(f94(x67081),x67083)),f317(f94(x67081),x67083))+P1(f317(f317(f224(x67081),f317(f94(x67081),x67082)),f317(f94(x67081),x67083)))
% 199.17/199.24 [6709]~P107(x67091)+~P98(x67091)+E(f317(f317(f178(x67091),f317(f94(x67091),x67092)),f317(f94(x67091),x67093)),f317(f94(x67091),x67092))+P1(f317(f317(f224(x67091),f317(f94(x67091),x67092)),f317(f94(x67091),x67093)))
% 199.17/199.24 [6769]P148(x67692,x67693,x67691)+E(x67691,f2(a1))+~P1(f317(x67692,f845(x67691,x67693,x67692)))+P1(f317(f317(f225(a1),f2(a1)),x67691))
% 199.17/199.24 [6770]P147(x67702,x67703,x67701)+E(x67701,f2(a1))+~P1(f317(x67702,f846(x67701,x67703,x67702)))+P1(f317(f317(f225(a1),f2(a1)),x67701))
% 199.17/199.24 [6774]P1(f317(x67741,x67742))+~P1(f317(f28(x67743),x67742))+P1(f317(x67741,f870(x67741,x67742,x67743)))+~P1(f317(x67741,f179(f907(x67743,a897))))
% 199.17/199.24 [6795]P1(f317(x67951,x67952))+P1(f317(f28(x67953),f870(x67951,x67952,x67953)))+~P1(f317(f28(x67953),x67952))+~P1(f317(x67951,f179(f907(x67953,a897))))
% 199.17/199.24 [6863]P147(x68631,x68632,x68633)+~P1(f317(x68631,x68632))+~P1(f317(x68631,f846(x68633,x68632,x68631)))+P1(f317(f317(f225(a1),f2(a1)),x68633))
% 199.17/199.24 [6888]P148(x68881,x68882,x68883)+~P1(f317(x68881,f845(x68883,x68882,x68881)))+~P1(f317(x68881,f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x68883))
% 199.17/199.24 [6995]~P97(x69953)+~P119(x69953)+~P1(f317(f317(f224(x69953),f317(f94(x69953),x69951)),f317(f94(x69953),x69952)))+P1(f317(f317(f224(a1),x69951),x69952))
% 199.17/199.24 [6996]~P97(x69963)+~P119(x69963)+~P1(f317(f317(f225(x69963),f317(f94(x69963),x69961)),f317(f94(x69963),x69962)))+P1(f317(f317(f225(a1),x69961),x69962))
% 199.17/199.24 [7024]~P108(x70241)+~P11(x70241,x70243)+P11(x70241,f317(f317(f141(x70241),x70242),x70243))+~P1(f317(f317(f224(x70241),x70242),f693(x70243,x70242,x70241)))
% 199.17/199.24 [7025]~P108(x70251)+~P11(x70251,x70253)+P11(x70251,f317(f317(f141(x70251),x70252),x70253))+~P1(f317(f317(f224(x70251),x70252),f695(x70253,x70252,x70251)))
% 199.17/199.24 [7026]~P108(x70261)+~P11(x70261,x70263)+P11(x70261,f317(f317(f141(x70261),x70262),x70263))+~P1(f317(f317(f224(x70261),x70262),f733(x70262,x70263,x70261)))
% 199.17/199.24 [7114]P148(x71142,x71143,x71141)+E(x71141,f2(a1))+P1(f317(f317(f225(a1),x71141),f2(a1)))+P1(f317(f317(f225(a1),f842(x71141,x71143,x71142)),x71141))
% 199.17/199.24 [7115]P147(x71152,x71153,x71151)+E(x71151,f2(a1))+P1(f317(f317(f225(a1),x71151),f2(a1)))+P1(f317(f317(f225(a1),f847(x71151,x71153,x71152)),x71151))
% 199.17/199.24 [7151]P148(x71512,x71513,x71511)+E(x71511,f2(a1))+P1(f317(f317(f224(a1),f841(x71511,x71513,x71512)),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x71511))
% 199.17/199.24 [7152]P147(x71522,x71523,x71521)+E(x71521,f2(a1))+P1(f317(f317(f224(a1),f846(x71521,x71523,x71522)),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x71521))
% 199.17/199.24 [7177]~P108(x71771)+~P11(x71771,x71773)+E(f317(f317(f138(x71771,x71771,f7(x71771)),x71772),f160(x71771,x71772,x71773)),x71773)+~P1(f317(f317(f319(x71771),x71772),f317(f162(x71771),x71773)))
% 199.17/199.24 [7223]P147(x72231,x72232,x72233)+~P1(f317(x72231,x72232))+P1(f317(f317(f225(a1),x72233),f2(a1)))+P1(f317(f317(f225(a1),f847(x72233,x72232,x72231)),x72233))
% 199.17/199.24 [7229]~P107(x72291)+~P98(x72291)+E(f317(f317(f228(x72291),f317(f94(x72291),x72292)),f317(f94(x72291),x72293)),f317(f94(x72291),x72292))+~P1(f317(f317(f224(x72291),f317(f94(x72291),x72292)),f317(f94(x72291),x72293)))
% 199.17/199.24 [7230]~P107(x72301)+~P98(x72301)+E(f317(f317(f178(x72301),f317(f94(x72301),x72302)),f317(f94(x72301),x72303)),f317(f94(x72301),x72303))+~P1(f317(f317(f224(x72301),f317(f94(x72301),x72302)),f317(f94(x72301),x72303)))
% 199.17/199.24 [7244]P148(x72441,x72442,x72443)+~P1(f317(x72441,f2(a1)))+P1(f317(f317(f225(a1),x72443),f2(a1)))+P1(f317(f317(f225(a1),f842(x72443,x72442,x72441)),x72443))
% 199.17/199.24 [7254]P147(x72541,x72542,x72543)+~P1(f317(x72541,x72542))+P1(f317(f317(f224(a1),f846(x72543,x72542,x72541)),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x72543))
% 199.17/199.24 [7278]P148(x72781,x72782,x72783)+~P1(f317(x72781,f2(a1)))+P1(f317(f317(f224(a1),f841(x72783,x72782,x72781)),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x72783))
% 199.17/199.24 [7304]~P1(f317(x73041,x73042))+P1(f317(x73041,f2(a901)))+~P1(f317(f317(f225(a901),x73042),x73043))+P1(f317(f317(f225(a901),f429(x73042,x73041,x73043)),x73043))
% 199.17/199.24 [7321]~P108(x73211)+~P11(x73211,x73213)+P11(x73211,f317(f317(f141(x73211),x73212),x73213))+P1(f317(f317(f319(x73211),f693(x73213,x73212,x73211)),f317(f162(x73211),x73213)))
% 199.17/199.24 [7322]~P108(x73221)+~P11(x73221,x73223)+P11(x73221,f317(f317(f141(x73221),x73222),x73223))+P1(f317(f317(f319(x73221),f695(x73223,x73222,x73221)),f317(f162(x73221),x73223)))
% 199.17/199.24 [7323]~P108(x73231)+~P11(x73231,x73233)+P11(x73231,f317(f317(f141(x73231),x73232),x73233))+P1(f317(f317(f319(x73231),f733(x73232,x73233,x73231)),f317(f162(x73231),x73233)))
% 199.17/199.24 [7436]~P108(x74361)+~P3(x74361)+~P1(f317(f317(f225(x74361),x74363),f31(x74361,x74362)))+P1(f317(f317(f319(x74361),f875(x74362,x74363,x74361)),x74362))
% 199.17/199.24 [7584]~P108(x75841)+~P3(x75841)+~P1(f317(f317(f225(x75841),f32(x75841,x75843)),x75842))+P1(f317(f317(f319(x75841),f890(x75842,x75843,x75841)),x75843))
% 199.17/199.24 [7585]~P108(x75851)+~P3(x75851)+~P1(f317(f317(f225(x75851),f32(x75851,x75853)),x75852))+P1(f317(f317(f225(x75851),f890(x75852,x75853,x75851)),x75852))
% 199.17/199.24 [7598]P148(x75982,x75983,x75981)+E(x75981,f2(a1))+P1(f317(f317(f225(a1),x75981),f841(x75981,x75983,x75982)))+P1(f317(f317(f225(a1),f842(x75981,x75983,x75982)),x75981))
% 199.17/199.24 [7599]P147(x75992,x75993,x75991)+E(x75991,f2(a1))+P1(f317(f317(f225(a1),x75991),f846(x75991,x75993,x75992)))+P1(f317(f317(f225(a1),f847(x75991,x75993,x75992)),x75991))
% 199.17/199.24 [7690]P148(x76903,x76902,x76901)+E(x76901,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x76901),f845(x76901,x76902,x76903))),f841(x76901,x76902,x76903)),x76902)+P1(f317(f317(f225(a1),f2(a1)),x76901))
% 199.17/199.24 [7691]P147(x76913,x76912,x76911)+E(x76911,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x76911),f849(x76911,x76912,x76913))),f846(x76911,x76912,x76913)),x76912)+P1(f317(f317(f225(a1),f2(a1)),x76911))
% 199.17/199.24 [7693]~P128(x76931)+~P1(f317(f317(f224(x76931),x76933),f2(x76931)))+P1(f317(f317(f224(x76931),f317(f317(f75(x76931),x76932),x76933)),f2(x76931)))+~P1(f317(f317(f224(x76931),f2(x76931)),x76932))
% 199.17/199.24 [7694]~P128(x76941)+~P1(f317(f317(f224(x76941),x76942),f2(x76941)))+P1(f317(f317(f224(x76941),f317(f317(f75(x76941),x76942),x76943)),f2(x76941)))+~P1(f317(f317(f224(x76941),f2(x76941)),x76943))
% 199.17/199.24 [7696]~P135(x76961)+~P1(f317(f317(f224(x76961),x76963),f2(x76961)))+P1(f317(f317(f224(x76961),f317(f317(f75(x76961),x76962),x76963)),f2(x76961)))+~P1(f317(f317(f224(x76961),f2(x76961)),x76962))
% 199.17/199.24 [7698]~P135(x76981)+~P1(f317(f317(f224(x76981),x76982),f2(x76981)))+P1(f317(f317(f224(x76981),f317(f317(f75(x76981),x76982),x76983)),f2(x76981)))+~P1(f317(f317(f224(x76981),f2(x76981)),x76983))
% 199.17/199.24 [7699]~P63(x76991)+~P1(f317(f317(f224(x76991),x76993),f2(x76991)))+P1(f317(f317(f224(x76991),f317(f317(f280(x76991),x76992),x76993)),f2(x76991)))+~P1(f317(f317(f224(x76991),f2(x76991)),x76992))
% 199.17/199.24 [7700]~P63(x77001)+~P1(f317(f317(f224(x77001),x77002),f2(x77001)))+P1(f317(f317(f224(x77001),f317(f317(f280(x77001),x77002),x77003)),f2(x77001)))+~P1(f317(f317(f224(x77001),f2(x77001)),x77003))
% 199.17/199.24 [7701]~P64(x77011)+~P1(f317(f317(f224(x77011),x77012),f2(x77011)))+P1(f317(f317(f224(x77011),f317(f317(f280(x77011),x77012),x77013)),f2(x77011)))+~P1(f317(f317(f225(x77011),f2(x77011)),x77013))
% 199.17/199.24 [7702]~P64(x77021)+~P1(f317(f317(f225(x77021),x77023),f2(x77021)))+P1(f317(f317(f224(x77021),f317(f317(f280(x77021),x77022),x77023)),f2(x77021)))+~P1(f317(f317(f224(x77021),f2(x77021)),x77022))
% 199.17/199.24 [7704]~P134(x77041)+~P1(f317(f317(f225(x77041),x77043),f2(x77041)))+P1(f317(f317(f225(x77041),f317(f317(f75(x77041),x77042),x77043)),f2(x77041)))+~P1(f317(f317(f225(x77041),f2(x77041)),x77042))
% 199.17/199.24 [7705]~P134(x77051)+~P1(f317(f317(f225(x77051),x77052),f2(x77051)))+P1(f317(f317(f225(x77051),f317(f317(f75(x77051),x77052),x77053)),f2(x77051)))+~P1(f317(f317(f225(x77051),f2(x77051)),x77053))
% 199.17/199.24 [7706]~P63(x77061)+~P1(f317(f317(f225(x77061),x77063),f2(x77061)))+P1(f317(f317(f225(x77061),f317(f317(f280(x77061),x77062),x77063)),f2(x77061)))+~P1(f317(f317(f225(x77061),f2(x77061)),x77062))
% 199.17/199.24 [7707]~P63(x77071)+~P1(f317(f317(f225(x77071),x77072),f2(x77071)))+P1(f317(f317(f225(x77071),f317(f317(f280(x77071),x77072),x77073)),f2(x77071)))+~P1(f317(f317(f225(x77071),f2(x77071)),x77073))
% 199.17/199.24 [7708]~P64(x77081)+~P1(f317(f317(f225(x77081),x77083),f2(x77081)))+P1(f317(f317(f225(x77081),f317(f317(f280(x77081),x77082),x77083)),f2(x77081)))+~P1(f317(f317(f225(x77081),f2(x77081)),x77082))
% 199.17/199.24 [7709]~P64(x77091)+~P1(f317(f317(f225(x77091),x77092),f2(x77091)))+P1(f317(f317(f225(x77091),f317(f317(f280(x77091),x77092),x77093)),f2(x77091)))+~P1(f317(f317(f225(x77091),f2(x77091)),x77093))
% 199.17/199.24 [7724]P147(x77241,x77242,x77243)+~P1(f317(x77241,x77242))+P1(f317(f317(f225(a1),x77243),f846(x77243,x77242,x77241)))+P1(f317(f317(f225(a1),f847(x77243,x77242,x77241)),x77243))
% 199.17/199.24 [7737]P148(x77371,x77372,x77373)+P1(f317(f317(f225(a1),x77373),f841(x77373,x77372,x77371)))+~P1(f317(x77371,f2(a1)))+P1(f317(f317(f225(a1),f842(x77373,x77372,x77371)),x77373))
% 199.17/199.24 [7789]P148(x77892,x77893,x77891)+E(x77891,f2(a1))+~P1(f317(x77892,f845(x77891,x77893,x77892)))+P1(f317(f317(f225(a1),f842(x77891,x77893,x77892)),x77891))
% 199.17/199.24 [7790]P147(x77902,x77903,x77901)+E(x77901,f2(a1))+~P1(f317(x77902,f846(x77901,x77903,x77902)))+P1(f317(f317(f225(a1),f847(x77901,x77903,x77902)),x77901))
% 199.17/199.24 [7799]P147(x77993,x77992,x77991)+~P1(f317(x77993,x77992))+E(f317(f317(f74(a1),f317(f317(f75(a1),x77991),f849(x77991,x77992,x77993))),f846(x77991,x77992,x77993)),x77992)+P1(f317(f317(f225(a1),f2(a1)),x77991))
% 199.17/199.24 [7814]P148(x78143,x78142,x78141)+E(f317(f317(f74(a1),f317(f317(f75(a1),x78141),f845(x78141,x78142,x78143))),f841(x78141,x78142,x78143)),x78142)+~P1(f317(x78143,f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x78141))
% 199.17/199.24 [7842]~P1(f317(x78421,x78423))+~P1(f317(f28(x78422),x78423))+P1(f317(f317(f319(x78422),f528(x78421,x78423,x78422)),f527(x78421,x78423,x78422)))+P1(f317(x78421,f179(f907(x78422,a897))))
% 199.17/199.24 [7854]P147(x78541,x78542,x78543)+~P1(f317(x78541,x78542))+~P1(f317(x78541,f846(x78543,x78542,x78541)))+P1(f317(f317(f225(a1),f847(x78543,x78542,x78541)),x78543))
% 199.17/199.24 [7860]P148(x78601,x78602,x78603)+~P1(f317(x78601,f845(x78603,x78602,x78601)))+~P1(f317(x78601,f2(a1)))+P1(f317(f317(f225(a1),f842(x78603,x78602,x78601)),x78603))
% 199.17/199.24 [7967]~P128(x79671)+~P1(f317(f317(f224(x79671),f317(f317(f75(x79671),x79673),x79672)),f2(x79671)))+P1(f317(f317(f224(x79671),x79672),f2(x79671)))+P1(f317(f317(f224(x79671),f2(x79671)),x79672))
% 199.17/199.24 [7968]~P128(x79681)+~P1(f317(f317(f224(x79681),f317(f317(f75(x79681),x79682),x79683)),f2(x79681)))+P1(f317(f317(f224(x79681),x79682),f2(x79681)))+P1(f317(f317(f224(x79681),f2(x79681)),x79682))
% 199.17/199.24 [7969]~P63(x79691)+~P1(f317(f317(f224(x79691),f317(f317(f280(x79691),x79693),x79692)),f2(x79691)))+P1(f317(f317(f224(x79691),x79692),f2(x79691)))+P1(f317(f317(f224(x79691),f2(x79691)),x79692))
% 199.17/199.24 [7970]~P63(x79701)+~P1(f317(f317(f224(x79701),f317(f317(f280(x79701),x79702),x79703)),f2(x79701)))+P1(f317(f317(f224(x79701),x79702),f2(x79701)))+P1(f317(f317(f224(x79701),f2(x79701)),x79702))
% 199.17/199.24 [7971]~P63(x79711)+~P1(f317(f317(f225(x79711),f317(f317(f280(x79711),x79713),x79712)),f2(x79711)))+P1(f317(f317(f225(x79711),x79712),f2(x79711)))+P1(f317(f317(f225(x79711),f2(x79711)),x79712))
% 199.17/199.24 [7972]~P63(x79721)+~P1(f317(f317(f225(x79721),f317(f317(f280(x79721),x79722),x79723)),f2(x79721)))+P1(f317(f317(f225(x79721),x79722),f2(x79721)))+P1(f317(f317(f225(x79721),f2(x79721)),x79722))
% 199.17/199.24 [7992]~P128(x79921)+~P1(f317(f317(f224(x79921),f317(f317(f75(x79921),x79922),x79923)),f2(x79921)))+P1(f317(f317(f224(x79921),f2(x79921)),x79922))+P1(f317(f317(f224(x79921),f2(x79921)),x79923))
% 199.17/199.24 [7993]~P63(x79931)+~P1(f317(f317(f224(x79931),f317(f317(f280(x79931),x79932),x79933)),f2(x79931)))+P1(f317(f317(f224(x79931),f2(x79931)),x79932))+P1(f317(f317(f224(x79931),f2(x79931)),x79933))
% 199.17/199.24 [7994]~P63(x79941)+~P1(f317(f317(f225(x79941),f317(f317(f280(x79941),x79942),x79943)),f2(x79941)))+P1(f317(f317(f225(x79941),f2(x79941)),x79942))+P1(f317(f317(f225(x79941),f2(x79941)),x79943))
% 199.17/199.24 [8016]P148(x80162,x80163,x80161)+E(x80161,f2(a1))+P1(f317(f317(f224(a1),f841(x80161,x80163,x80162)),f2(a1)))+P1(f317(f317(f225(a1),f842(x80161,x80163,x80162)),x80161))
% 199.17/199.24 [8017]P147(x80172,x80173,x80171)+E(x80171,f2(a1))+P1(f317(f317(f224(a1),f846(x80171,x80173,x80172)),f2(a1)))+P1(f317(f317(f225(a1),f847(x80171,x80173,x80172)),x80171))
% 199.17/199.24 [8024]~P126(x80241)+~P1(f317(f317(f225(x80241),x80242),f72(x80241)))+P1(f317(f317(f225(x80241),f317(f317(f234(x80241),x80242),f317(a102,x80243))),f72(x80241)))+~P1(f317(f317(f225(x80241),f2(x80241)),x80242))
% 199.17/199.24 [8072]~P108(x80721)+~E(x80723,f103(x80721))+~P11(x80721,f317(f158(x80721),x80723))+E(f317(f132(x80721,x80721,f317(f9(x80721,x80721,x80721),f178(x80721)),x80722),f317(f158(x80721),x80723)),x80722)
% 199.17/199.24 [8075]P147(x80751,x80752,x80753)+~P1(f317(x80751,x80752))+P1(f317(f317(f224(a1),f846(x80753,x80752,x80751)),f2(a1)))+P1(f317(f317(f225(a1),f847(x80753,x80752,x80751)),x80753))
% 199.17/199.24 [8081]P148(x80811,x80812,x80813)+~P1(f317(x80811,f2(a1)))+P1(f317(f317(f224(a1),f841(x80813,x80812,x80811)),f2(a1)))+P1(f317(f317(f225(a1),f842(x80813,x80812,x80811)),x80813))
% 199.17/199.24 [8305]P148(x83053,x83052,x83051)+E(x83051,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83051),f845(x83051,x83052,x83053))),f841(x83051,x83052,x83053)),x83052)+P1(f317(f317(f225(a1),f842(x83051,x83052,x83053)),x83051))
% 199.17/199.24 [8306]P147(x83063,x83062,x83061)+E(x83061,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83061),f849(x83061,x83062,x83063))),f846(x83061,x83062,x83063)),x83062)+P1(f317(f317(f225(a1),f847(x83061,x83062,x83063)),x83061))
% 199.17/199.24 [8339]P147(x83393,x83392,x83391)+~P1(f317(x83393,x83392))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83391),f849(x83391,x83392,x83393))),f846(x83391,x83392,x83393)),x83392)+P1(f317(f317(f225(a1),f847(x83391,x83392,x83393)),x83391))
% 199.17/199.24 [8340]~P72(x83401)+~P79(x83401)+~P37(x83403)+E(f317(f317(f8(a901,x83401),f317(f317(f10(a1,x83401,a901),x83402),f90(a1))),f317(f300(a1,a901,a95),x83403)),f317(f317(f8(a1,x83401),x83402),x83403))
% 199.17/199.24 [8341]~P72(x83411)+~P79(x83411)+~P37(x83413)+E(f317(f317(f11(a901,x83411),f317(f317(f10(a1,x83411,a901),x83412),f90(a1))),f317(f300(a1,a901,a95),x83413)),f317(f317(f11(a1,x83411),x83412),x83413))
% 199.17/199.24 [8350]P148(x83503,x83502,x83501)+E(f317(f317(f74(a1),f317(f317(f75(a1),x83501),f845(x83501,x83502,x83503))),f841(x83501,x83502,x83503)),x83502)+~P1(f317(x83503,f2(a1)))+P1(f317(f317(f225(a1),f842(x83501,x83502,x83503)),x83501))
% 199.17/199.24 [8372]~E(x83722,f2(a901))+~E(f317(f241(a901,a901),x83723),f2(a901))+~E(x83721,f317(f317(f74(a901),f317(f317(f75(a901),f317(f241(a901,a901),x83723)),x83722)),f317(f246(a901,a901),x83723)))+P1(f317(f43(x83721,x83722),x83723))
% 199.17/199.24 [8429]P1(f317(x84291,x84292))+~P1(f317(f317(f319(x84293),f874(x84291,x84292,x84293)),f870(x84291,x84292,x84293)))+~P1(f317(f28(x84293),x84292))+~P1(f317(x84291,f179(f907(x84293,a897))))
% 199.17/199.24 [9045]P1(f317(x90451,x90452))+~P1(f317(f28(x90453),x90452))+~P1(f317(x90451,f317(f317(f299(x90453),f874(x90451,x90452,x90453)),f870(x90451,x90452,x90453))))+~P1(f317(x90451,f179(f907(x90453,a897))))
% 199.17/199.24 [9273]P1(f317(f317(f224(a1),x92731),f2(a1)))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f75(a1),x92733),x92731)),x92732)),f2(a1)))+~P1(f317(f317(f224(a1),f2(a1)),x92732))+~P1(f317(f317(f225(a1),f2(a1)),x92733))
% 199.17/199.24 [5878]~P108(x58782)+E(x58781,f179(f907(x58782,a897)))+~P1(f317(f28(x58782),x58781))+E(f16(x58782,f317(f317(f299(x58782),x58783),x58781)),f317(f317(f178(x58782),x58783),f16(x58782,x58781)))
% 199.17/199.24 [5879]~P108(x58792)+E(x58791,f179(f907(x58792,a897)))+~P1(f317(f28(x58792),x58791))+E(f17(x58792,f317(f317(f299(x58792),x58793),x58791)),f317(f317(f228(x58792),x58793),f17(x58792,x58791)))
% 199.17/199.24 [5880]~P68(x58802)+E(x58801,f179(f907(x58802,a897)))+~P1(f317(f28(x58802),x58801))+E(f12(x58802,f317(f317(f299(x58802),x58803),x58801)),f317(f317(f91(x58802),x58803),f12(x58802,x58801)))
% 199.17/199.24 [5881]~P68(x58812)+E(x58811,f179(f907(x58812,a897)))+~P1(f317(f28(x58812),x58811))+E(f13(x58812,f317(f317(f299(x58812),x58813),x58811)),f317(f317(f92(x58812),x58813),f13(x58812,x58811)))
% 199.17/199.24 [6209]~P128(x62091)+~E(x62093,f2(x62091))+~E(x62092,f2(x62091))+E(f317(f317(f74(x62091),f317(f317(f75(x62091),x62092),x62092)),f317(f317(f75(x62091),x62093),x62093)),f2(x62091))
% 199.17/199.24 [6280]~P99(x62802)+E(x62801,f179(f907(x62802,a897)))+~P1(f317(f28(x62802),x62801))+E(f317(f57(x62802,f75(x62802)),f317(f317(f299(x62802),x62803),x62801)),f317(f317(f75(x62802),x62803),f317(f57(x62802,f75(x62802)),x62801)))
% 199.17/199.24 [6410]~P108(x64102)+E(x64101,f179(f907(x64102,a897)))+~P1(f317(f28(x64102),x64101))+E(f14(x64102,f178(x64102),f317(f317(f299(x64102),x64103),x64101)),f317(f317(f178(x64102),x64103),f14(x64102,f178(x64102),x64101)))
% 199.17/199.24 [6411]~P108(x64112)+E(x64111,f179(f907(x64112,a897)))+~P1(f317(f28(x64112),x64111))+E(f15(x64112,f228(x64112),f317(f317(f299(x64112),x64113),x64111)),f317(f317(f228(x64112),x64113),f15(x64112,f228(x64112),x64111)))
% 199.17/199.24 [6920]~P76(x69201)+~P1(f317(f28(x69201),x69203))+E(f317(f57(x69201,f75(x69201)),f317(f317(f299(x69201),x69202),x69203)),f317(f317(f58(x69201,x69201,f75(x69201)),x69202),x69203))+P1(f317(f317(f319(x69201),x69202),x69203))
% 199.17/199.24 [7002]~E(f317(f317(f74(a1),x70022),f317(f317(f75(a1),x70023),x70021)),x70023)+~P1(f317(f317(f225(a1),f2(a1)),x70023))+P1(f317(f317(f224(a1),f72(a1)),x70021))+~P1(f317(f317(f225(a1),x70022),x70023))
% 199.17/199.24 [7031]~E(f317(f317(f74(a1),x70312),f317(f317(f75(a1),x70313),x70311)),x70313)+P1(f317(f317(f224(a1),x70311),f72(a1)))+~P1(f317(f317(f224(a1),f2(a1)),x70312))+~P1(f317(f317(f225(a1),f2(a1)),x70313))
% 199.17/199.24 [7049]E(x70491,f2(a901))+~P1(f317(f43(x70493,x70491),x70492))+~P1(f317(f317(f225(a901),f2(a901)),x70491))+P1(f317(f317(f225(a901),f317(f246(a901,a901),x70492)),x70491))
% 199.17/199.24 [7081]~P138(x70811)+~P1(f317(f317(f224(x70811),x70812),f2(x70811)))+~P1(f317(f317(f224(x70811),x70813),f2(x70811)))+E(f317(f317(f75(x70811),f317(f70(x70811),x70812)),f317(f70(x70811),x70813)),f317(f70(x70811),f317(f317(f75(x70811),x70812),x70813)))
% 199.17/199.24 [7128]~P138(x71281)+~P1(f317(f317(f224(x71281),x71282),f2(x71281)))+E(f317(f317(f75(x71281),f317(f70(x71281),x71282)),f317(f70(x71281),x71283)),f317(f70(x71281),f317(f317(f75(x71281),x71282),x71283)))+~P1(f317(f317(f224(x71281),f2(x71281)),x71283))
% 199.17/199.24 [7129]~P138(x71291)+~P1(f317(f317(f224(x71291),x71293),f2(x71291)))+E(f317(f317(f75(x71291),f317(f70(x71291),x71292)),f317(f70(x71291),x71293)),f317(f70(x71291),f317(f317(f75(x71291),x71292),x71293)))+~P1(f317(f317(f224(x71291),f2(x71291)),x71292))
% 199.17/199.24 [7184]~P138(x71841)+E(f317(f317(f75(x71841),f317(f70(x71841),x71842)),f317(f70(x71841),x71843)),f317(f70(x71841),f317(f317(f75(x71841),x71842),x71843)))+~P1(f317(f317(f224(x71841),f2(x71841)),x71842))+~P1(f317(f317(f224(x71841),f2(x71841)),x71843))
% 199.17/199.24 [7201]~P111(x72011)+~P1(f317(f317(f224(x72011),x72013),f2(x72011)))+~P1(f317(f317(f224(x72011),x72012),f2(x72011)))+P1(f317(f317(f224(x72011),f2(x72011)),f317(f317(f75(x72011),x72012),x72013)))
% 199.17/199.24 [7202]~P128(x72021)+~P1(f317(f317(f224(x72021),x72023),f2(x72021)))+~P1(f317(f317(f224(x72021),x72022),f2(x72021)))+P1(f317(f317(f224(x72021),f2(x72021)),f317(f317(f75(x72021),x72022),x72023)))
% 199.17/199.24 [7203]~P63(x72031)+~P1(f317(f317(f224(x72031),x72033),f2(x72031)))+~P1(f317(f317(f224(x72031),x72032),f2(x72031)))+P1(f317(f317(f224(x72031),f2(x72031)),f317(f317(f280(x72031),x72032),x72033)))
% 199.17/199.24 [7204]~P64(x72041)+~P1(f317(f317(f225(x72041),x72043),f2(x72041)))+~P1(f317(f317(f224(x72041),x72042),f2(x72041)))+P1(f317(f317(f224(x72041),f2(x72041)),f317(f317(f280(x72041),x72042),x72043)))
% 199.17/199.24 [7205]~P128(x72051)+~P1(f317(f317(f225(x72051),x72053),f2(x72051)))+~P1(f317(f317(f225(x72051),x72052),f2(x72051)))+P1(f317(f317(f225(x72051),f2(x72051)),f317(f317(f75(x72051),x72052),x72053)))
% 199.17/199.24 [7206]~P63(x72061)+~P1(f317(f317(f225(x72061),x72063),f2(x72061)))+~P1(f317(f317(f225(x72061),x72062),f2(x72061)))+P1(f317(f317(f225(x72061),f2(x72061)),f317(f317(f280(x72061),x72062),x72063)))
% 199.17/199.24 [7207]~P64(x72071)+~P1(f317(f317(f225(x72071),x72073),f2(x72071)))+~P1(f317(f317(f225(x72071),x72072),f2(x72071)))+P1(f317(f317(f225(x72071),f2(x72071)),f317(f317(f280(x72071),x72072),x72073)))
% 199.17/199.24 [7208]~P126(x72081)+~P1(f317(f317(f225(a901),f2(a901)),x72083))+~P1(f317(f317(f225(x72081),f72(x72081)),x72082))+P1(f317(f317(f225(x72081),f72(x72081)),f317(f317(f234(x72081),x72082),x72083)))
% 199.17/199.24 [7306]~P111(x73061)+~P1(f317(f317(f224(x73061),f2(x73061)),x73063))+~P1(f317(f317(f224(x73061),f2(x73061)),x73062))+P1(f317(f317(f224(x73061),f2(x73061)),f317(f317(f75(x73061),x73062),x73063)))
% 199.17/199.24 [7307]~P128(x73071)+~P1(f317(f317(f224(x73071),f2(x73071)),x73073))+~P1(f317(f317(f224(x73071),f2(x73071)),x73072))+P1(f317(f317(f224(x73071),f2(x73071)),f317(f317(f75(x73071),x73072),x73073)))
% 199.17/199.24 [7308]~P135(x73081)+~P1(f317(f317(f224(x73081),f2(x73081)),x73083))+~P1(f317(f317(f224(x73081),f2(x73081)),x73082))+P1(f317(f317(f224(x73081),f2(x73081)),f317(f317(f75(x73081),x73082),x73083)))
% 199.17/199.24 [7309]~P63(x73091)+~P1(f317(f317(f224(x73091),f2(x73091)),x73093))+~P1(f317(f317(f224(x73091),f2(x73091)),x73092))+P1(f317(f317(f224(x73091),f2(x73091)),f317(f317(f280(x73091),x73092),x73093)))
% 199.17/199.24 [7310]~P64(x73101)+~P1(f317(f317(f225(x73101),f2(x73101)),x73103))+~P1(f317(f317(f224(x73101),f2(x73101)),x73102))+P1(f317(f317(f224(x73101),f2(x73101)),f317(f317(f280(x73101),x73102),x73103)))
% 199.17/199.24 [7311]~P126(x73111)+~P1(f317(f317(f225(x73111),f72(x73111)),x73113))+~P1(f317(f317(f225(x73111),f72(x73111)),x73112))+P1(f317(f317(f225(x73111),f72(x73111)),f317(f317(f75(x73111),x73112),x73113)))
% 199.17/199.24 [7314]~P92(x73141)+~P1(f317(f317(f225(x73141),f2(x73141)),x73143))+~P1(f317(f317(f225(x73141),f2(x73141)),x73142))+P1(f317(f317(f225(x73141),f2(x73141)),f317(f317(f74(x73141),x73142),x73143)))
% 199.17/199.24 [7315]~P134(x73151)+~P1(f317(f317(f225(x73151),f2(x73151)),x73153))+~P1(f317(f317(f225(x73151),f2(x73151)),x73152))+P1(f317(f317(f225(x73151),f2(x73151)),f317(f317(f75(x73151),x73152),x73153)))
% 199.17/199.24 [7316]~P63(x73161)+~P1(f317(f317(f225(x73161),f2(x73161)),x73163))+~P1(f317(f317(f225(x73161),f2(x73161)),x73162))+P1(f317(f317(f225(x73161),f2(x73161)),f317(f317(f280(x73161),x73162),x73163)))
% 199.17/199.24 [7317]~P64(x73171)+~P1(f317(f317(f225(x73171),f2(x73171)),x73173))+~P1(f317(f317(f225(x73171),f2(x73171)),x73172))+P1(f317(f317(f225(x73171),f2(x73171)),f317(f317(f280(x73171),x73172),x73173)))
% 199.17/199.24 [7392]~P108(x73921)+~P1(f317(f28(x73921),x73923))+E(f16(x73921,f317(f317(f299(x73921),x73922),x73923)),x73922)+~E(f317(f317(f3(f907(x73921,a897)),x73923),f317(f317(f299(x73921),x73922),f179(f907(x73921,a897)))),f179(f907(x73921,a897)))
% 199.17/199.24 [7393]~P108(x73931)+~P1(f317(f28(x73931),x73933))+E(f17(x73931,f317(f317(f299(x73931),x73932),x73933)),x73932)+~E(f317(f317(f3(f907(x73931,a897)),x73933),f317(f317(f299(x73931),x73932),f179(f907(x73931,a897)))),f179(f907(x73931,a897)))
% 199.17/199.24 [7394]~P68(x73941)+~P1(f317(f28(x73941),x73943))+E(f12(x73941,f317(f317(f299(x73941),x73942),x73943)),x73942)+~E(f317(f317(f3(f907(x73941,a897)),x73943),f317(f317(f299(x73941),x73942),f179(f907(x73941,a897)))),f179(f907(x73941,a897)))
% 199.17/199.24 [7395]~P68(x73951)+~P1(f317(f28(x73951),x73953))+E(f13(x73951,f317(f317(f299(x73951),x73952),x73953)),x73952)+~E(f317(f317(f3(f907(x73951,a897)),x73953),f317(f317(f299(x73951),x73952),f179(f907(x73951,a897)))),f179(f907(x73951,a897)))
% 199.17/199.24 [7397]~P128(x73971)+P1(f317(f317(f224(x73971),x73972),f2(x73971)))+P1(f317(f317(f224(x73971),f2(x73971)),x73973))+~P1(f317(f317(f224(x73971),f2(x73971)),f317(f317(f75(x73971),x73973),x73972)))
% 199.17/199.24 [7398]~P128(x73981)+P1(f317(f317(f224(x73981),x73982),f2(x73981)))+P1(f317(f317(f224(x73981),f2(x73981)),x73983))+~P1(f317(f317(f224(x73981),f2(x73981)),f317(f317(f75(x73981),x73982),x73983)))
% 199.17/199.24 [7399]~P63(x73991)+P1(f317(f317(f224(x73991),x73992),f2(x73991)))+P1(f317(f317(f224(x73991),f2(x73991)),x73993))+~P1(f317(f317(f224(x73991),f2(x73991)),f317(f317(f280(x73991),x73993),x73992)))
% 199.17/199.24 [7400]~P63(x74001)+P1(f317(f317(f224(x74001),x74002),f2(x74001)))+P1(f317(f317(f224(x74001),f2(x74001)),x74003))+~P1(f317(f317(f224(x74001),f2(x74001)),f317(f317(f280(x74001),x74002),x74003)))
% 199.17/199.24 [7401]~P128(x74011)+P1(f317(f317(f224(x74011),x74012),f2(x74011)))+P1(f317(f317(f224(x74011),f2(x74011)),x74012))+~P1(f317(f317(f224(x74011),f2(x74011)),f317(f317(f75(x74011),x74013),x74012)))
% 199.17/199.24 [7402]~P128(x74021)+P1(f317(f317(f224(x74021),x74022),f2(x74021)))+P1(f317(f317(f224(x74021),f2(x74021)),x74022))+~P1(f317(f317(f224(x74021),f2(x74021)),f317(f317(f75(x74021),x74022),x74023)))
% 199.17/199.24 [7403]~P63(x74031)+P1(f317(f317(f224(x74031),x74032),f2(x74031)))+P1(f317(f317(f224(x74031),f2(x74031)),x74032))+~P1(f317(f317(f224(x74031),f2(x74031)),f317(f317(f280(x74031),x74033),x74032)))
% 199.17/199.24 [7404]~P63(x74041)+P1(f317(f317(f224(x74041),x74042),f2(x74041)))+P1(f317(f317(f224(x74041),f2(x74041)),x74042))+~P1(f317(f317(f224(x74041),f2(x74041)),f317(f317(f280(x74041),x74042),x74043)))
% 199.17/199.24 [7405]~P63(x74051)+P1(f317(f317(f225(x74051),x74052),f2(x74051)))+P1(f317(f317(f225(x74051),f2(x74051)),x74053))+~P1(f317(f317(f225(x74051),f2(x74051)),f317(f317(f280(x74051),x74053),x74052)))
% 199.17/199.24 [7406]~P63(x74061)+P1(f317(f317(f225(x74061),x74062),f2(x74061)))+P1(f317(f317(f225(x74061),f2(x74061)),x74063))+~P1(f317(f317(f225(x74061),f2(x74061)),f317(f317(f280(x74061),x74062),x74063)))
% 199.17/199.24 [7407]~P63(x74071)+P1(f317(f317(f225(x74071),x74072),f2(x74071)))+P1(f317(f317(f225(x74071),f2(x74071)),x74072))+~P1(f317(f317(f225(x74071),f2(x74071)),f317(f317(f280(x74071),x74073),x74072)))
% 199.17/199.24 [7408]~P63(x74081)+P1(f317(f317(f225(x74081),x74082),f2(x74081)))+P1(f317(f317(f225(x74081),f2(x74081)),x74082))+~P1(f317(f317(f225(x74081),f2(x74081)),f317(f317(f280(x74081),x74082),x74083)))
% 199.17/199.24 [7476]~P1(f317(f317(f276(a901),x74761),x74763))+P1(f317(f317(f276(a901),x74761),x74762))+~P1(f317(f317(f224(a901),x74762),x74763))+~P1(f317(f317(f276(a901),x74761),f317(f317(f3(a901),x74763),x74762)))
% 199.17/199.24 [7477]~P1(f317(f317(f276(a901),x74771),x74773))+P1(f317(f317(f276(a901),x74771),x74772))+~P1(f317(f317(f224(a901),x74773),x74772))+~P1(f317(f317(f276(a901),x74771),f317(f317(f3(a901),x74772),x74773)))
% 199.17/199.24 [7491]~E(f317(f317(f92(f907(x74911,a897)),f317(f162(x74911),x74912)),f317(f162(x74911),x74913)),f179(f907(x74911,a897)))+~P1(f317(f127(x74911),x74913))+~P1(f317(f127(x74911),x74912))+P1(f317(f127(x74911),f317(f317(f124(x74911),x74912),x74913)))
% 199.17/199.24 [7492]~P108(x74921)+~P1(f317(f28(x74921),x74923))+E(f14(x74921,f178(x74921),f317(f317(f299(x74921),x74922),x74923)),x74922)+~E(f317(f317(f3(f907(x74921,a897)),x74923),f317(f317(f299(x74921),x74922),f179(f907(x74921,a897)))),f179(f907(x74921,a897)))
% 199.17/199.24 [7493]~P108(x74931)+~P1(f317(f28(x74931),x74933))+E(f15(x74931,f228(x74931),f317(f317(f299(x74931),x74932),x74933)),x74932)+~E(f317(f317(f3(f907(x74931,a897)),x74933),f317(f317(f299(x74931),x74932),f179(f907(x74931,a897)))),f179(f907(x74931,a897)))
% 199.17/199.24 [7506]~P88(x75061)+~P1(f317(f317(f224(x75061),x75062),x75063))+~P1(f317(f317(f224(x75061),f317(f73(x75061),x75062)),x75063))+P1(f317(f317(f224(x75061),f317(f70(x75061),x75062)),x75063))
% 199.17/199.24 [7507]~P119(x75071)+~P1(f317(f317(f225(x75071),x75072),x75073))+~P1(f317(f317(f225(x75071),f317(f73(x75071),x75072)),x75073))+P1(f317(f317(f225(x75071),f317(f70(x75071),x75072)),x75073))
% 199.17/199.24 [7573]~P134(x75731)+P1(f317(f317(f225(x75731),f2(x75731)),x75732))+~P1(f317(f317(f225(x75731),f2(x75731)),x75733))+~P1(f317(f317(f225(x75731),f2(x75731)),f317(f317(f75(x75731),x75733),x75732)))
% 199.17/199.24 [7574]~P134(x75741)+P1(f317(f317(f225(x75741),f2(x75741)),x75742))+~P1(f317(f317(f225(x75741),f2(x75741)),x75743))+~P1(f317(f317(f225(x75741),f2(x75741)),f317(f317(f75(x75741),x75742),x75743)))
% 199.17/199.24 [7875]E(x78751,x78752)+~P1(f317(f28(x78753),x78751))+~P1(f317(f317(f224(a901),f317(f29(x78753),x78751)),f317(f29(x78753),x78752)))+~P1(f317(f317(f224(f907(x78753,a897)),x78752),x78751))
% 199.17/199.24 [8021]~P1(f317(f317(f225(a1),x80211),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x80212))+~P1(f317(f317(f224(a1),x80212),x80213))+P1(f317(f317(f224(a1),f317(f317(f30(a1),x80211),x80212)),f317(f317(f30(a1),x80211),x80213)))
% 199.17/199.24 [8031]~P1(f317(f317(f224(a1),f2(a1)),x80311))+~P1(f317(f317(f225(a1),f2(a1)),x80313))+~P1(f317(f317(f224(a1),x80313),x80312))+P1(f317(f317(f224(a1),f317(f317(f30(a1),x80311),x80312)),f317(f317(f30(a1),x80311),x80313)))
% 199.17/199.24 [8160]E(f317(x81601,f435(x81602,x81601,x81603)),x81602)+~P1(f317(f317(f224(a1),x81602),f317(x81601,x81603)))+P1(f317(f317(f225(a901),f432(x81602,x81601,x81603)),x81603))+~P1(f317(f317(f224(a1),f317(x81601,f2(a901))),x81602))
% 199.17/199.24 [8161]E(f317(x81611,f436(x81612,x81611,x81613)),x81612)+~P1(f317(f317(f224(a1),x81612),f317(x81611,x81613)))+P1(f317(f317(f225(a901),f437(x81612,x81611,x81613)),x81613))+~P1(f317(f317(f224(a1),f317(x81611,f2(a901))),x81612))
% 199.17/199.24 [8267]~P1(f317(f28(x82671),x82673))+~P1(f317(f317(f225(a901),f317(f29(x82671),x82672)),f317(f29(x82671),x82673)))+~P1(f317(f317(f224(f907(x82671,a897)),x82672),x82673))+P1(f317(f317(f225(f907(x82671,a897)),x82672),x82673))
% 199.17/199.24 [8294]E(f317(f317(f74(a1),f402(x82943,x82941,x82942)),f403(x82943,x82941,x82942)),x82941)+E(f317(f317(f3(a1),x82941),x82942),x82941)+~P1(f317(f317(f225(a1),f2(a1)),x82942))+~P1(f317(f317(f319(a1),f317(f317(f3(a1),x82941),f72(a1))),x82943))
% 199.17/199.24 [8295]E(f317(f317(f3(a1),f407(x82953,x82951,x82952)),f408(x82953,x82951,x82952)),x82951)+E(f317(f317(f74(a1),x82951),x82952),x82951)+~P1(f317(f317(f225(a1),f2(a1)),x82952))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x82951),f72(a1))),x82953))
% 199.17/199.24 [8345]~P1(f317(f317(f224(a901),x83453),x83451))+P1(f317(f317(f224(a901),x83451),x83452))+~P1(f317(f317(f224(a901),x83453),x83452))+~P1(f317(f317(f224(a901),f317(f317(f3(a901),x83451),x83453)),f317(f317(f3(a901),x83452),x83453)))
% 199.17/199.24 [8346]~P1(f317(f317(f224(a901),x83463),x83461))+P1(f317(f317(f225(a901),x83461),x83462))+~P1(f317(f317(f224(a901),x83463),x83462))+~P1(f317(f317(f225(a901),f317(f317(f3(a901),x83461),x83463)),f317(f317(f3(a901),x83462),x83463)))
% 199.17/199.24 [8365]~P108(x83652)+E(x83651,f103(x83652))+~P11(x83652,f317(f158(x83652),x83651))+E(f317(f132(x83652,x83652,f317(f9(x83652,x83652,x83652),f178(x83652)),x83653),f317(f158(x83652),x83651)),f317(f317(f178(x83652),f317(f317(f154(x83652),x83651),f2(a901))),x83653))
% 199.17/199.24 [8434]E(f317(f317(f3(a1),x84341),x84342),x84341)+~P1(f317(f317(f225(a1),f2(a1)),x84342))+P1(f317(f317(f319(a1),f402(x84343,x84341,x84342)),x84343))+~P1(f317(f317(f319(a1),f317(f317(f3(a1),x84341),f72(a1))),x84343))
% 199.17/199.24 [8435]E(f317(f317(f74(a1),x84351),x84352),x84351)+~P1(f317(f317(f225(a1),f2(a1)),x84352))+P1(f317(f317(f319(a1),f407(x84353,x84351,x84352)),x84353))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x84351),f72(a1))),x84353))
% 199.17/199.24 [8504]~P1(f317(f317(f224(a1),x85041),f317(x85042,x85043)))+P1(f317(f317(f225(a901),f432(x85041,x85042,x85043)),x85043))+P1(f317(f317(f224(a901),f435(x85041,x85042,x85043)),x85043))+~P1(f317(f317(f224(a1),f317(x85042,f2(a901))),x85041))
% 199.17/199.24 [8505]~P1(f317(f317(f224(a1),x85051),f317(x85052,x85053)))+P1(f317(f317(f225(a901),f437(x85051,x85052,x85053)),x85053))+P1(f317(f317(f224(a901),f436(x85051,x85052,x85053)),x85053))+~P1(f317(f317(f224(a1),f317(x85052,f2(a901))),x85051))
% 199.17/199.24 [8576]E(f317(f317(f3(a1),x85761),x85762),x85761)+~P1(f317(f317(f225(a1),f2(a1)),x85762))+P1(f317(f317(f319(a1),f403(x85763,x85761,x85762)),f294(a1,f72(a1),x85762)))+~P1(f317(f317(f319(a1),f317(f317(f3(a1),x85761),f72(a1))),x85763))
% 199.17/199.24 [8577]E(f317(f317(f74(a1),x85771),x85772),x85771)+~P1(f317(f317(f225(a1),f2(a1)),x85772))+P1(f317(f317(f319(a1),f408(x85773,x85771,x85772)),f294(a1,f72(a1),x85772)))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x85771),f72(a1))),x85773))
% 199.17/199.24 [8709]~P126(x87091)+~P1(f317(f317(f225(x87091),x87092),f72(x87091)))+~P1(f317(f317(f225(x87091),f2(x87091)),x87092))+P1(f317(f317(f225(x87091),f317(f317(f75(x87091),x87092),f317(f317(f234(x87091),x87092),x87093))),f317(f317(f234(x87091),x87092),x87093)))
% 199.17/199.24 [8796]~P1(f317(x87961,x87962))+P1(f317(x87961,f2(a901)))+~P1(f317(f317(f225(a901),x87962),x87963))+~P1(f317(x87961,f40(a901,f317(a102,f429(x87962,x87961,x87963)),x87963)))
% 199.17/199.24 [8950]E(f460(x89501,x89502,x89503),f2(a901))+P1(f317(f317(x89501,x89503),x89502))+P1(f317(f317(x89501,f460(x89501,x89502,x89503)),f40(a901,f459(x89501,x89502,x89503),f460(x89501,x89502,x89503))))+~P1(f317(f305(f906(a901,a901),a210),f317(f317(f242(a901,a901),x89503),x89502)))
% 199.17/199.24 [8986]~P22(x89861,x89861,x89862,x89863)+E(f317(f300(x89861,x89861,x89862),x89863),x89863)+~P1(f317(f28(x89861),x89863))+~P1(f317(f317(f224(f907(x89861,a897)),f317(f300(x89861,x89861,x89862),x89863)),x89863))
% 199.17/199.24 [9190]P1(f317(f317(x91901,x91902),x91903))+P1(f317(f317(f225(a1),f753(x91901,x91903,x91902)),f754(x91901,x91903,x91902)))+P1(f317(f317(x91901,f753(x91901,x91903,x91902)),f317(f317(f74(a1),f754(x91901,x91903,x91902)),f72(a1))))+~P1(f317(f305(f906(a1,a1),a123),f317(f317(f242(a1,a1),x91902),x91903)))
% 199.17/199.24 [9207]P1(f317(f317(x92071,x92072),x92073))+~P1(f317(f317(f225(a1),f458(x92071,x92073,x92072)),f2(a1)))+P1(f317(f317(x92071,f317(f73(a1),f456(x92071,x92073,x92072))),f317(f73(a1),f458(x92071,x92073,x92072))))+~P1(f317(f305(f906(a1,a1),a212),f317(f317(f242(a1,a1),x92072),x92073)))
% 199.17/199.24 [9410]P1(f317(f317(x94101,x94102),x94103))+P1(f317(f317(x94101,f317(f317(f74(a1),f657(x94101,x94103,x94102)),f72(a1))),f661(x94101,x94103,x94102)))+~P1(f317(f317(f224(a1),f657(x94101,x94103,x94102)),f661(x94101,x94103,x94102)))+~P1(f317(f305(f906(a1,a1),a172),f317(f317(f242(a1,a1),x94102),x94103)))
% 199.17/199.24 [9873]~P60(x98732)+~P60(x98731)+~P1(f317(f51(f906(x98731,x98732)),x98733))+P1(f317(f51(x98731),f317(f317(f10(f907(x98732,a897),a897,x98731),f51(x98732)),f317(f317(f10(f907(x98732,f906(x98731,x98732)),f907(x98732,a897),x98731),f317(f10(f906(x98731,x98732),a897,x98732),x98733)),f242(x98731,x98732)))))
% 199.17/199.24 [9874]~P60(x98742)+~P60(x98741)+~P1(f317(f52(f906(x98741,x98742)),x98743))+P1(f317(f52(x98741),f317(f317(f10(f907(x98742,a897),a897,x98741),f52(x98742)),f317(f317(f10(f907(x98742,f906(x98741,x98742)),f907(x98742,a897),x98741),f317(f10(f906(x98741,x98742),a897,x98742),x98743)),f242(x98741,x98742)))))
% 199.17/199.24 [9979]~P60(x99792)+~P60(x99791)+P1(f317(f51(f906(x99791,x99792)),x99793))+~P1(f317(f51(x99791),f317(f317(f10(f907(x99792,a897),a897,x99791),f51(x99792)),f317(f317(f10(f907(x99792,f906(x99791,x99792)),f907(x99792,a897),x99791),f317(f10(f906(x99791,x99792),a897,x99792),x99793)),f242(x99791,x99792)))))
% 199.17/199.24 [9980]~P60(x99802)+~P60(x99801)+P1(f317(f52(f906(x99801,x99802)),x99803))+~P1(f317(f52(x99801),f317(f317(f10(f907(x99802,a897),a897,x99801),f52(x99802)),f317(f317(f10(f907(x99802,f906(x99801,x99802)),f907(x99802,a897),x99801),f317(f10(f906(x99801,x99802),a897,x99802),x99803)),f242(x99801,x99802)))))
% 199.17/199.24 [10128]E(f317(x101281,f435(x101282,x101281,x101283)),x101282)+~P1(f317(f317(f224(a1),x101282),f317(x101281,x101283)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f3(a1),f317(x101281,f317(f317(f74(a901),f432(x101282,x101281,x101283)),f72(a901)))),f317(x101281,f432(x101282,x101281,x101283))))),f72(a1)))+~P1(f317(f317(f224(a1),f317(x101281,f2(a901))),x101282))
% 199.17/199.24 [10129]E(f317(x101291,f436(x101292,x101291,x101293)),x101292)+~P1(f317(f317(f224(a1),x101292),f317(x101291,x101293)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f3(a1),f317(x101291,f317(f317(f74(a901),f437(x101292,x101291,x101293)),f72(a901)))),f317(x101291,f437(x101292,x101291,x101293))))),f72(a1)))+~P1(f317(f317(f224(a1),f317(x101291,f2(a901))),x101292))
% 199.17/199.24 [10132]~P1(f317(f317(f224(a1),x101321),f317(x101322,x101323)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f3(a1),f317(x101322,f317(f317(f74(a901),f432(x101321,x101322,x101323)),f72(a901)))),f317(x101322,f432(x101321,x101322,x101323))))),f72(a1)))+P1(f317(f317(f224(a901),f435(x101321,x101322,x101323)),x101323))+~P1(f317(f317(f224(a1),f317(x101322,f2(a901))),x101321))
% 199.17/199.24 [10133]~P1(f317(f317(f224(a1),x101331),f317(x101332,x101333)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f3(a1),f317(x101332,f317(f317(f74(a901),f437(x101331,x101332,x101333)),f72(a901)))),f317(x101332,f437(x101331,x101332,x101333))))),f72(a1)))+P1(f317(f317(f224(a901),f436(x101331,x101332,x101333)),x101333))+~P1(f317(f317(f224(a1),f317(x101332,f2(a901))),x101331))
% 199.17/199.24 [10187]E(x101871,x101872)+~E(f317(f132(f902(x101873),f902(x101873),f124(x101873),f103(x101873)),x101871),f317(f132(f902(x101873),f902(x101873),f124(x101873),f103(x101873)),x101872))+~E(f317(f180(f902(f902(x101873))),x101871),f317(f180(f902(f902(x101873))),x101872))+~P1(f317(f317(f247(f902(x101873),f902(x101873),a897),f317(f317(f9(f902(x101873),f907(f902(x101873),a901),f907(f902(x101873),a897)),f317(f317(f10(f907(a901,a897),f907(f907(f902(x101873),a901),f907(f902(x101873),a897)),f902(x101873)),f10(a901,a897,f902(x101873))),f317(f317(f10(a901,f907(a901,a897),f902(x101873)),a314),f180(f902(x101873))))),f180(f902(x101873)))),f685(x101872,x101871,x101873)))
% 199.17/199.24 [10188]E(x101881,x101882)+~E(f317(f132(f902(x101883),f902(x101883),f124(x101883),f103(x101883)),x101881),f317(f132(f902(x101883),f902(x101883),f124(x101883),f103(x101883)),x101882))+~E(f317(f180(f902(f902(x101883))),x101881),f317(f180(f902(f902(x101883))),x101882))+~P1(f317(f317(f247(f902(x101883),f902(x101883),a897),f317(f317(f9(f902(x101883),f907(f902(x101883),a901),f907(f902(x101883),a897)),f317(f317(f10(f907(a901,a897),f907(f907(f902(x101883),a901),f907(f902(x101883),a897)),f902(x101883)),f10(a901,a897,f902(x101883))),f317(f317(f10(a901,f907(a901,a897),f902(x101883)),a314),f180(f902(x101883))))),f180(f902(x101883)))),f686(x101881,x101882,x101883)))
% 199.17/199.24 [6910]~E(f72(a901),f2(a901))+~P1(f317(f28(x69101),x69103))+~P1(f317(f28(x69101),x69102))+E(f317(f317(f74(a901),f317(f29(x69101),x69102)),f317(f29(x69101),x69103)),f317(f29(x69101),f317(f317(f91(f907(x69101,a897)),x69102),x69103)))
% 199.17/199.24 [7324]~P108(x73241)+~P1(f317(f28(x73241),x73242))+~P1(f317(f317(f319(x73241),x73243),x73242))+P1(f317(f317(f224(x73241),f317(f57(x73241,f228(x73241)),x73242)),x73243))
% 199.17/199.24 [7325]~P103(x73251)+~P1(f317(f28(x73251),x73252))+~P1(f317(f317(f319(x73251),x73253),x73252))+P1(f317(f317(f224(x73251),f317(f57(x73251,f92(x73251)),x73252)),x73253))
% 199.17/199.24 [7567]~P1(f317(f28(x75671),x75673))+~P1(f317(f28(x75671),x75672))+~E(f317(f317(f92(f907(x75671,a897)),x75672),x75673),f179(f907(x75671,a897)))+E(f317(f317(f74(a901),f317(f29(x75671),x75672)),f317(f29(x75671),x75673)),f317(f29(x75671),f317(f317(f91(f907(x75671,a897)),x75672),x75673)))
% 199.17/199.24 [8351]~P34(x83511,x83513)+~P34(x83511,x83512)+~E(f317(f317(f92(f907(x83511,a897)),f317(f254(x83511,x83511),x83512)),f317(f273(x83511,x83511),x83513)),f179(f907(x83511,a897)))+P34(x83511,f317(f317(f91(f907(f906(x83511,x83511),a897)),x83512),x83513))
% 199.17/199.24 [8443]E(x84431,f317(f317(f30(a901),x84432),x84433))+~P1(f317(f317(f225(a901),f2(a901)),x84433))+~P1(f317(f317(f225(a901),x84432),f317(f317(f75(a901),x84433),f317(a102,x84431))))+~P1(f317(f317(f224(a901),f317(f317(f75(a901),x84433),x84431)),x84432))
% 199.17/199.24 [8574]~P1(f317(f28(x85741),x85742))+~P1(f317(f28(x85741),x85743))+E(f317(f317(f74(a901),f317(f29(x85741),x85742)),f317(f29(x85741),x85743)),f317(f29(x85741),f317(f317(f91(f907(x85741,a897)),x85742),x85743)))+P1(f317(f317(f319(x85741),f338(x85743,x85742,x85741)),f317(f317(f92(f907(x85741,a897)),x85742),x85743)))
% 199.17/199.24 [8963]~P128(x89632)+~E(x89631,f2(x89632))+~E(x89633,f2(x89632))+~P1(f317(f317(f225(x89632),f2(x89632)),f317(f317(f74(x89632),f317(f317(f75(x89632),x89633),x89633)),f317(f317(f75(x89632),x89631),x89631))))
% 199.17/199.24 [9494]~P34(x94941,x94943)+~P34(x94941,x94942)+P34(x94941,f317(f317(f91(f907(f906(x94941,x94941),a897)),x94942),x94943))+~P1(f317(f317(f224(f907(f906(x94941,x94941),a897)),f317(f317(f278(x94941,x94941,x94941),x94942),x94943)),x94942))
% 199.17/199.24 [9627]~P1(f317(x96271,x96273))+~P1(f317(f28(x96272),x96273))+P1(f317(x96271,f179(f907(x96272,a897))))+~P1(f317(x96271,f317(f317(f3(f907(x96272,a897)),f527(x96271,x96273,x96272)),f317(f317(f299(x96272),f528(x96271,x96273,x96272)),f179(f907(x96272,a897))))))
% 199.17/199.24 [8750]~P1(f317(f317(f225(a1),f2(a1)),x87503))+P1(f317(f317(f224(a1),f2(a1)),x87501))+~P1(f317(f317(f225(a1),x87502),x87503))+~P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),f317(f317(f75(a1),x87503),x87501)),x87502)))
% 199.17/199.24 [8769]~P108(x87691)+~P1(f317(f28(x87691),x87692))+E(f317(f317(f3(f907(x87691,a897)),x87692),f317(f317(f299(x87691),x87693),f179(f907(x87691,a897)))),f179(f907(x87691,a897)))+E(f317(f317(f178(x87691),x87693),f16(x87691,f317(f317(f3(f907(x87691,a897)),x87692),f317(f317(f299(x87691),x87693),f179(f907(x87691,a897)))))),f16(x87691,f317(f317(f299(x87691),x87693),x87692)))
% 199.17/199.24 [8770]~P108(x87701)+~P1(f317(f28(x87701),x87702))+E(f317(f317(f3(f907(x87701,a897)),x87702),f317(f317(f299(x87701),x87703),f179(f907(x87701,a897)))),f179(f907(x87701,a897)))+E(f317(f317(f228(x87701),x87703),f17(x87701,f317(f317(f3(f907(x87701,a897)),x87702),f317(f317(f299(x87701),x87703),f179(f907(x87701,a897)))))),f17(x87701,f317(f317(f299(x87701),x87703),x87702)))
% 199.17/199.24 [8771]~P68(x87711)+~P1(f317(f28(x87711),x87712))+E(f317(f317(f3(f907(x87711,a897)),x87712),f317(f317(f299(x87711),x87713),f179(f907(x87711,a897)))),f179(f907(x87711,a897)))+E(f317(f317(f91(x87711),x87713),f12(x87711,f317(f317(f3(f907(x87711,a897)),x87712),f317(f317(f299(x87711),x87713),f179(f907(x87711,a897)))))),f12(x87711,f317(f317(f299(x87711),x87713),x87712)))
% 199.17/199.24 [8772]~P68(x87721)+~P1(f317(f28(x87721),x87722))+E(f317(f317(f3(f907(x87721,a897)),x87722),f317(f317(f299(x87721),x87723),f179(f907(x87721,a897)))),f179(f907(x87721,a897)))+E(f317(f317(f92(x87721),x87723),f13(x87721,f317(f317(f3(f907(x87721,a897)),x87722),f317(f317(f299(x87721),x87723),f179(f907(x87721,a897)))))),f13(x87721,f317(f317(f299(x87721),x87723),x87722)))
% 199.17/199.24 [8842]~P108(x88421)+~P1(f317(f28(x88421),x88422))+E(f317(f317(f3(f907(x88421,a897)),x88422),f317(f317(f299(x88421),x88423),f179(f907(x88421,a897)))),f179(f907(x88421,a897)))+E(f317(f317(f178(x88421),x88423),f14(x88421,f178(x88421),f317(f317(f3(f907(x88421,a897)),x88422),f317(f317(f299(x88421),x88423),f179(f907(x88421,a897)))))),f14(x88421,f178(x88421),f317(f317(f299(x88421),x88423),x88422)))
% 199.17/199.24 [8843]~P108(x88431)+~P1(f317(f28(x88431),x88432))+E(f317(f317(f3(f907(x88431,a897)),x88432),f317(f317(f299(x88431),x88433),f179(f907(x88431,a897)))),f179(f907(x88431,a897)))+E(f317(f317(f228(x88431),x88433),f15(x88431,f228(x88431),f317(f317(f3(f907(x88431,a897)),x88432),f317(f317(f299(x88431),x88433),f179(f907(x88431,a897)))))),f15(x88431,f228(x88431),f317(f317(f299(x88431),x88433),x88432)))
% 199.17/199.24 [9429]E(x94291,x94292)+~E(f317(f132(f902(x94293),f902(x94293),f124(x94293),f103(x94293)),x94291),f317(f132(f902(x94293),f902(x94293),f124(x94293),f103(x94293)),x94292))+~E(f317(f180(f902(f902(x94293))),x94291),f317(f180(f902(f902(x94293))),x94292))+P1(f317(f317(f319(f906(f902(x94293),f902(x94293))),f685(x94292,x94291,x94293)),f317(f162(f906(f902(x94293),f902(x94293))),f317(f317(f171(f902(x94293),f902(x94293)),x94291),x94292))))
% 199.17/199.24 [9430]E(x94301,x94302)+~E(f317(f132(f902(x94303),f902(x94303),f124(x94303),f103(x94303)),x94301),f317(f132(f902(x94303),f902(x94303),f124(x94303),f103(x94303)),x94302))+~E(f317(f180(f902(f902(x94303))),x94301),f317(f180(f902(f902(x94303))),x94302))+P1(f317(f317(f319(f906(f902(x94303),f902(x94303))),f686(x94301,x94302,x94303)),f317(f162(f906(f902(x94303),f902(x94303))),f317(f317(f171(f902(x94303),f902(x94303)),x94302),x94301))))
% 199.17/199.24 [10327]~P101(x103272)+E(x103271,f179(f907(x103272,a897)))+~P1(f317(f28(x103272),x103271))+E(f13(x103272,f317(f252(x103272),f317(f317(f10(f907(x103272,a897),a897,x103272),f80(x103272)),f317(f317(f9(x103272,f907(x103272,a897),f907(x103272,a897)),f317(f317(f10(f907(x103272,f907(a897,a897)),f907(f907(x103272,a897),f907(x103272,a897)),x103272),f20(x103272,a897,a897)),f317(f317(f10(f907(x103272,a897),f907(x103272,f907(a897,a897)),x103272),f317(f10(a897,f907(a897,a897),x103272),a315)),f317(f317(f9(x103272,f907(x103272,x103272),f907(x103272,a897)),f317(f317(f10(f907(x103272,a897),f907(f907(x103272,x103272),f907(x103272,a897)),x103272),f10(x103272,a897,x103272)),a314)),f317(f91(x103272),x103273))))),f317(f317(f9(x103272,f907(x103272,a897),a897),f319(x103272)),x103271))))),f317(f317(f91(x103272),x103273),f13(x103272,x103271)))
% 199.17/199.24 [10328]~P101(x103282)+E(x103281,f179(f907(x103282,a897)))+~P1(f317(f28(x103282),x103281))+E(f12(x103282,f317(f252(x103282),f317(f317(f10(f907(x103282,a897),a897,x103282),f80(x103282)),f317(f317(f9(x103282,f907(x103282,a897),f907(x103282,a897)),f317(f317(f10(f907(x103282,f907(a897,a897)),f907(f907(x103282,a897),f907(x103282,a897)),x103282),f20(x103282,a897,a897)),f317(f317(f10(f907(x103282,a897),f907(x103282,f907(a897,a897)),x103282),f317(f10(a897,f907(a897,a897),x103282),a315)),f317(f317(f9(x103282,f907(x103282,x103282),f907(x103282,a897)),f317(f317(f10(f907(x103282,a897),f907(f907(x103282,x103282),f907(x103282,a897)),x103282),f10(x103282,a897,x103282)),a314)),f317(f92(x103282),x103283))))),f317(f317(f9(x103282,f907(x103282,a897),a897),f319(x103282)),x103281))))),f317(f317(f92(x103282),x103283),f12(x103282,x103281)))
% 199.17/199.24 [10329]~P81(x103292)+E(x103291,f179(f907(x103292,a897)))+~P1(f317(f28(x103292),x103291))+E(f16(x103292,f317(f252(x103292),f317(f317(f10(f907(x103292,a897),a897,x103292),f80(x103292)),f317(f317(f9(x103292,f907(x103292,a897),f907(x103292,a897)),f317(f317(f10(f907(x103292,f907(a897,a897)),f907(f907(x103292,a897),f907(x103292,a897)),x103292),f20(x103292,a897,a897)),f317(f317(f10(f907(x103292,a897),f907(x103292,f907(a897,a897)),x103292),f317(f10(a897,f907(a897,a897),x103292),a315)),f317(f317(f9(x103292,f907(x103292,x103292),f907(x103292,a897)),f317(f317(f10(f907(x103292,a897),f907(f907(x103292,x103292),f907(x103292,a897)),x103292),f10(x103292,a897,x103292)),a314)),f317(f74(x103292),x103293))))),f317(f317(f9(x103292,f907(x103292,a897),a897),f319(x103292)),x103291))))),f317(f317(f74(x103292),x103293),f16(x103292,x103291)))
% 199.17/199.24 [10330]~P81(x103302)+E(x103301,f179(f907(x103302,a897)))+~P1(f317(f28(x103302),x103301))+E(f17(x103302,f317(f252(x103302),f317(f317(f10(f907(x103302,a897),a897,x103302),f80(x103302)),f317(f317(f9(x103302,f907(x103302,a897),f907(x103302,a897)),f317(f317(f10(f907(x103302,f907(a897,a897)),f907(f907(x103302,a897),f907(x103302,a897)),x103302),f20(x103302,a897,a897)),f317(f317(f10(f907(x103302,a897),f907(x103302,f907(a897,a897)),x103302),f317(f10(a897,f907(a897,a897),x103302),a315)),f317(f317(f9(x103302,f907(x103302,x103302),f907(x103302,a897)),f317(f317(f10(f907(x103302,a897),f907(f907(x103302,x103302),f907(x103302,a897)),x103302),f10(x103302,a897,x103302)),a314)),f317(f74(x103302),x103303))))),f317(f317(f9(x103302,f907(x103302,a897),a897),f319(x103302)),x103301))))),f317(f317(f74(x103302),x103303),f17(x103302,x103301)))
% 199.17/199.24 [10331]~P108(x103312)+E(x103311,f179(f907(x103312,a897)))+~P1(f317(f28(x103312),x103311))+E(f14(x103312,f178(x103312),f317(f252(x103312),f317(f317(f10(f907(x103312,a897),a897,x103312),f80(x103312)),f317(f317(f9(x103312,f907(x103312,a897),f907(x103312,a897)),f317(f317(f10(f907(x103312,f907(a897,a897)),f907(f907(x103312,a897),f907(x103312,a897)),x103312),f20(x103312,a897,a897)),f317(f317(f10(f907(x103312,a897),f907(x103312,f907(a897,a897)),x103312),f317(f10(a897,f907(a897,a897),x103312),a315)),f317(f317(f9(x103312,f907(x103312,x103312),f907(x103312,a897)),f317(f317(f10(f907(x103312,a897),f907(f907(x103312,x103312),f907(x103312,a897)),x103312),f10(x103312,a897,x103312)),a314)),f317(f228(x103312),x103313))))),f317(f317(f9(x103312,f907(x103312,a897),a897),f319(x103312)),x103311))))),f317(f317(f228(x103312),x103313),f14(x103312,f178(x103312),x103311)))
% 199.17/199.24 [10332]~P108(x103322)+E(x103321,f179(f907(x103322,a897)))+~P1(f317(f28(x103322),x103321))+E(f15(x103322,f228(x103322),f317(f252(x103322),f317(f317(f10(f907(x103322,a897),a897,x103322),f80(x103322)),f317(f317(f9(x103322,f907(x103322,a897),f907(x103322,a897)),f317(f317(f10(f907(x103322,f907(a897,a897)),f907(f907(x103322,a897),f907(x103322,a897)),x103322),f20(x103322,a897,a897)),f317(f317(f10(f907(x103322,a897),f907(x103322,f907(a897,a897)),x103322),f317(f10(a897,f907(a897,a897),x103322),a315)),f317(f317(f9(x103322,f907(x103322,x103322),f907(x103322,a897)),f317(f317(f10(f907(x103322,a897),f907(f907(x103322,x103322),f907(x103322,a897)),x103322),f10(x103322,a897,x103322)),a314)),f317(f178(x103322),x103323))))),f317(f317(f9(x103322,f907(x103322,a897),a897),f319(x103322)),x103321))))),f317(f317(f178(x103322),x103323),f15(x103322,f228(x103322),x103321)))
% 199.17/199.24 [10266]~P119(x102661)+~E(x102663,f2(x102661))+~E(x102662,f2(x102661))+E(f317(f317(f74(x102661),f317(f317(f234(x102661),x102662),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))),f317(f317(f234(x102661),x102663),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))),f2(x102661))
% 199.17/199.24 [10337]~P126(x103371)+~P1(f317(f317(f224(x103371),f2(x103371)),x103373))+P1(f317(f317(f224(x103371),x103372),x103373))+~P1(f317(f317(f224(x103371),f317(f317(f234(x103371),x103372),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))),f317(f317(f234(x103371),x103373),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))))
% 199.17/199.24 [10363]~P119(x103632)+~E(x103631,f2(x103632))+~E(x103633,f2(x103632))+~P1(f317(f317(f225(x103632),f2(x103632)),f317(f317(f74(x103632),f317(f317(f234(x103632),x103633),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87)))),f317(f317(f234(x103632),x103631),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))))))
% 199.17/199.24 [6793]~P5(x67933,x67932)+~P1(f317(x67931,x67934))+~P1(f317(f317(f319(x67933),x67934),f260(x67933,x67932)))+P1(f317(x67931,f802(x67931,x67932,x67933)))
% 199.17/199.24 [8685]P23(x86851,x86852,f806(x86853,x86852,x86854,x86851),x86854,x86853)+~E(f317(f29(x86851),x86854),f317(f29(x86852),x86853))+~P1(f317(f28(x86852),x86853))+~P1(f317(f28(x86851),x86854))
% 199.17/199.24 [9389]E(x93891,x93892)+~E(f638(x93891,x93892,x93894,x93893),f639(x93891,x93892,x93894,x93893))+P1(f317(f317(f319(f906(f902(x93893),f902(x93893))),f317(f317(f242(f902(x93893),f902(x93893)),x93892),x93891)),f137(x93893,x93894)))+P1(f317(f317(f319(f906(f902(x93893),f902(x93893))),f317(f317(f242(f902(x93893),f902(x93893)),x93891),x93892)),f137(x93893,x93894)))
% 199.17/199.24 [4915]~P61(x49152)+~E(x49154,f2(x49152))+~E(x49151,f2(x49152))+E(x49151,f317(f317(f280(x49152),x49153),x49154))
% 199.17/199.24 [4916]~P61(x49161)+~E(x49163,f2(x49161))+~E(x49164,f2(x49161))+E(f317(f317(f280(x49161),x49162),x49163),x49164)
% 199.17/199.24 [5037]~P61(x50372)+E(x50371,f2(x50372))+~E(x50373,f2(x50372))+~E(x50371,f317(f317(f280(x50372),x50374),x50373))
% 199.17/199.24 [5038]~P61(x50382)+E(x50381,f2(x50382))+~E(x50383,f2(x50382))+~E(f317(f317(f280(x50382),x50384),x50383),x50381)
% 199.17/199.24 [5220]~P122(x52202)+E(x52201,f2(x52202))+~E(f317(f317(f280(x52202),x52203),x52201),x52204)+E(x52203,f317(f317(f75(x52202),x52204),x52201))
% 199.17/199.24 [5222]~P122(x52222)+E(x52221,f2(x52222))+~E(f317(f317(f75(x52222),x52223),x52221),x52224)+E(x52223,f317(f317(f280(x52222),x52224),x52221))
% 199.17/199.24 [5223]~P61(x52232)+E(x52231,f2(x52232))+~E(f317(f317(f280(x52232),x52233),x52231),x52234)+E(x52233,f317(f317(f75(x52232),x52234),x52231))
% 199.17/199.24 [5224]~P61(x52242)+E(x52241,f2(x52242))+~E(f317(f317(f75(x52242),x52243),x52241),x52244)+E(x52243,f317(f317(f280(x52242),x52244),x52241))
% 199.17/199.24 [5225]~P122(x52252)+E(x52251,f2(x52252))+~E(x52253,f317(f317(f280(x52252),x52254),x52251))+E(f317(f317(f75(x52252),x52253),x52251),x52254)
% 199.17/199.24 [5227]~P122(x52272)+E(x52271,f2(x52272))+~E(x52273,f317(f317(f75(x52272),x52274),x52271))+E(f317(f317(f280(x52272),x52273),x52271),x52274)
% 199.17/199.24 [5228]~P61(x52282)+E(x52281,f2(x52282))+~E(x52283,f317(f317(f280(x52282),x52284),x52281))+E(f317(f317(f75(x52282),x52283),x52281),x52284)
% 199.17/199.24 [5229]~P61(x52292)+E(x52291,f2(x52292))+~E(x52293,f317(f317(f75(x52292),x52294),x52291))+E(f317(f317(f280(x52292),x52293),x52291),x52294)
% 199.17/199.24 [5253]~P61(x52532)+~E(x52531,f2(x52532))+~E(f317(f317(f75(x52532),x52531),x52534),x52533)+E(x52531,f317(f317(f280(x52532),x52533),x52534))
% 199.17/199.24 [5254]~P61(x52541)+~E(x52544,f2(x52541))+~E(x52542,f317(f317(f75(x52541),x52544),x52543))+E(f317(f317(f280(x52541),x52542),x52543),x52544)
% 199.17/199.24 [5328]~E(x53283,x53284)+~E(x53282,x53283)+~P109(x53281)+E(f294(x53281,x53282,x53283),f317(f317(f299(x53281),x53284),f179(f907(x53281,a897))))
% 199.17/199.24 [5534]~E(f104(x55342,x55341),x55343)+~E(f134(x55342,x55341),x55344)+E(x55341,f103(x55342))+E(f317(f317(f124(x55342),x55343),f317(f317(f141(x55342),x55344),f103(x55342))),x55341)
% 199.17/199.24 [6175]~P126(x61753)+E(x61751,x61752)+~E(f317(f317(f234(x61753),x61754),x61751),f317(f317(f234(x61753),x61754),x61752))+~P1(f317(f317(f225(x61753),f72(x61753)),x61754))
% 199.17/199.24 [6176]E(x61761,x61762)+~E(f317(f317(f299(x61763),x61764),x61761),f317(f317(f299(x61763),x61764),x61762))+P1(f317(f317(f319(x61763),x61764),x61762))+P1(f317(f317(f319(x61763),x61764),x61761))
% 199.17/199.24 [6219]E(f317(x62191,x62192),f72(a901))+~E(f317(f317(f11(x62193,a901),x62191),x62194),f72(a901))+~P1(f317(f28(x62193),x62194))+~P1(f317(f317(f319(x62193),x62192),x62194))
% 199.17/199.24 [6220]E(f317(x62201,x62202),f2(a901))+~E(f317(f317(f8(x62203,a901),x62201),x62204),f2(a901))+~P1(f317(f28(x62203),x62204))+~P1(f317(f317(f319(x62203),x62202),x62204))
% 199.17/199.24 [6442]~P109(x64421)+~P1(f317(f317(f224(x64421),x64424),x64423))+P1(f317(f317(f224(x64421),x64422),x64423))+~P1(f317(f317(f224(x64421),x64422),x64424))
% 199.17/199.24 [6443]~P65(x64431)+~P1(f317(f317(f224(x64431),x64432),x64434))+P1(f317(f317(f224(x64431),x64432),x64433))+~P1(f317(f317(f224(x64431),x64434),x64433))
% 199.17/199.24 [6444]~P109(x64441)+~P1(f317(f317(f225(x64441),x64444),x64443))+P1(f317(f317(f225(x64441),x64442),x64443))+~P1(f317(f317(f224(x64441),x64442),x64444))
% 199.17/199.24 [6445]~P109(x64451)+~P1(f317(f317(f225(x64451),x64452),x64454))+P1(f317(f317(f225(x64451),x64452),x64453))+~P1(f317(f317(f224(x64451),x64454),x64453))
% 199.17/199.24 [6446]~P109(x64461)+~P1(f317(f317(f225(x64461),x64464),x64463))+P1(f317(f317(f225(x64461),x64462),x64463))+~P1(f317(f317(f225(x64461),x64462),x64464))
% 199.17/199.24 [6447]~P65(x64471)+~P1(f317(f317(f225(x64471),x64472),x64474))+P1(f317(f317(f225(x64471),x64472),x64473))+~P1(f317(f317(f224(x64471),x64474),x64473))
% 199.17/199.24 [6448]~P65(x64481)+~P1(f317(f317(f225(x64481),x64484),x64483))+P1(f317(f317(f225(x64481),x64482),x64483))+~P1(f317(f317(f224(x64481),x64482),x64484))
% 199.17/199.24 [6449]~P65(x64491)+~P1(f317(f317(f225(x64491),x64492),x64494))+P1(f317(f317(f225(x64491),x64492),x64493))+~P1(f317(f317(f225(x64491),x64494),x64493))
% 199.17/199.24 [6450]~P118(x64501)+~P1(f317(f317(f276(x64501),x64502),x64504))+P1(f317(f317(f276(x64501),x64502),x64503))+~P1(f317(f317(f276(x64501),x64504),x64503))
% 199.17/199.24 [6532]~P32(x65324,x65323,x65322)+E(x65321,f739(x65322,x65323,x65324))+~P1(f317(x65323,x65321))+~P1(f317(f317(f319(x65324),x65321),f317(f162(x65324),x65322)))
% 199.17/199.24 [6533]~P32(x65334,x65333,x65332)+E(x65331,f749(x65332,x65333,x65334))+~P1(f317(x65333,x65331))+~P1(f317(f317(f319(x65334),x65331),f317(f162(x65334),x65332)))
% 199.17/199.24 [6684]~P3(x66841)+~P1(f317(f317(f224(x66841),x66842),f32(x66841,x66844)))+P1(f317(f317(f224(x66841),x66842),x66843))+~P1(f317(f317(f319(x66841),x66843),x66844))
% 199.17/199.24 [6835]~P108(x68351)+~P11(x68351,f317(f317(f141(x68351),x68352),x68354))+~P1(f317(f317(f319(x68351),x68353),f317(f162(x68351),x68354)))+P1(f317(f317(f224(x68351),x68352),x68353))
% 199.17/199.24 [6919]~P3(x69191)+~P1(f317(f317(f224(x69191),f31(x69191,x69194)),x69193))+P1(f317(f317(f224(x69191),x69192),x69193))+~P1(f317(f317(f319(x69191),x69192),x69194))
% 199.17/199.24 [7064]~P58(x70641)+P1(f317(f317(f276(x70641),x70642),f40(x70641,x70643,x70644)))+~P1(f317(f317(f276(x70641),x70642),x70644))+~P1(f317(f317(f276(x70641),x70642),x70643))
% 199.17/199.24 [7327]~P108(x73271)+E(f317(f317(f91(f907(x73271,a897)),f317(f293(x73271,x73272),x73273)),f317(f293(x73271,x73273),x73274)),f317(f293(x73271,x73272),x73274))+~P1(f317(f317(f224(x73271),x73273),x73274))+~P1(f317(f317(f224(x73271),x73272),x73273))
% 199.17/199.24 [7371]P32(x73711,x73712,x73713)+~E(f750(x73713,x73712,x73711,x73714),x73714)+~P1(f317(x73712,x73714))+~P1(f317(f317(f319(x73711),x73714),f317(f162(x73711),x73713)))
% 199.17/199.24 [7372]P32(x73721,x73722,x73723)+~E(f757(x73723,x73722,x73721,x73724),x73724)+~P1(f317(x73722,x73724))+~P1(f317(f317(f319(x73721),x73724),f317(f162(x73721),x73723)))
% 199.17/199.24 [7411]~P58(x74111)+~P1(f317(f317(f276(x74111),x74112),f40(x74111,x74113,x74114)))+P1(f317(f317(f276(x74111),x74112),x74113))+~P1(f317(f317(f276(x74111),x74112),x74114))
% 199.17/199.24 [7440]~P108(x74401)+E(f317(f317(f91(f907(x74401,a897)),f317(f293(x74401,x74402),x74403)),f294(x74401,x74403,x74404)),f294(x74401,x74402,x74404))+~P1(f317(f317(f224(x74401),x74403),x74404))+~P1(f317(f317(f224(x74401),x74402),x74403))
% 199.17/199.24 [7501]~P108(x75011)+E(f317(f317(f91(f907(x75011,a897)),f296(x75011,x75012,x75013)),f317(f293(x75011,x75013),x75014)),f296(x75011,x75012,x75014))+~P1(f317(f317(f224(x75011),x75013),x75014))+~P1(f317(f317(f225(x75011),x75012),x75013))
% 199.17/199.24 [7518]~P108(x75181)+E(f317(f317(f91(f907(x75181,a897)),f294(x75181,x75182,x75183)),f296(x75181,x75183,x75184)),f317(f293(x75181,x75182),x75184))+~P1(f317(f317(f224(x75181),x75182),x75183))+~P1(f317(f317(f225(x75181),x75183),x75184))
% 199.17/199.24 [7548]~P108(x75481)+E(f317(f317(f91(f907(x75481,a897)),f296(x75481,x75482,x75483)),f294(x75481,x75483,x75484)),f295(x75481,x75482,x75484))+~P1(f317(f317(f224(x75481),x75483),x75484))+~P1(f317(f317(f225(x75481),x75482),x75483))
% 199.17/199.24 [7549]~P108(x75491)+E(f317(f317(f91(f907(x75491,a897)),f295(x75491,x75492,x75493)),f296(x75491,x75493,x75494)),f296(x75491,x75492,x75494))+~P1(f317(f317(f224(x75491),x75492),x75493))+~P1(f317(f317(f225(x75491),x75493),x75494))
% 199.17/199.24 [7550]~P108(x75501)+E(f317(f317(f91(f907(x75501,a897)),f295(x75501,x75502,x75503)),f295(x75501,x75503,x75504)),f295(x75501,x75502,x75504))+~P1(f317(f317(f224(x75501),x75503),x75504))+~P1(f317(f317(f224(x75501),x75502),x75503))
% 199.17/199.24 [7551]~P108(x75511)+E(f317(f317(f91(f907(x75511,a897)),f294(x75511,x75512,x75513)),f295(x75511,x75513,x75514)),f294(x75511,x75512,x75514))+~P1(f317(f317(f224(x75511),x75513),x75514))+~P1(f317(f317(f224(x75511),x75512),x75513))
% 199.17/199.24 [8335]P22(x83351,x83352,f514(x83353,x83352,x83354,x83351),x83354)+~P1(f317(f28(x83352),x83353))+~P1(f317(f28(x83351),x83354))+~P1(f317(f317(f224(a901),f317(f29(x83351),x83354)),f317(f29(x83352),x83353)))
% 199.17/199.24 [8356]P32(x83561,x83562,x83563)+~P1(f317(x83562,x83564))+P1(f317(x83562,f750(x83563,x83562,x83561,x83564)))+~P1(f317(f317(f319(x83561),x83564),f317(f162(x83561),x83563)))
% 199.17/199.24 [8357]P32(x83571,x83572,x83573)+~P1(f317(x83572,x83574))+P1(f317(x83572,f757(x83573,x83572,x83571,x83574)))+~P1(f317(f317(f319(x83571),x83574),f317(f162(x83571),x83573)))
% 199.17/199.24 [8411]~P79(x84111)+~E(f317(x84113,f894(x84113,x84114,x84112,x84111)),f72(x84111))+E(f317(f317(f317(f59(x84111,x84112,f75(x84111)),x84113),f72(x84111)),x84114),f72(x84111))+~P1(f317(f28(x84112),x84114))
% 199.17/199.24 [8674]~P126(x86741)+~P1(f317(f317(f224(x86741),f2(x86741)),x86743))+P1(f317(f317(f224(x86741),x86742),x86743))+~P1(f317(f317(f224(x86741),f317(f317(f234(x86741),x86742),f317(a102,x86744))),f317(f317(f234(x86741),x86743),f317(a102,x86744))))
% 199.17/199.24 [8987]P32(x89871,x89872,x89873)+~P1(f317(x89872,x89874))+~P1(f317(f317(f319(x89871),x89874),f317(f162(x89871),x89873)))+P1(f317(f317(f319(x89871),f750(x89873,x89872,x89871,x89874)),f317(f162(x89871),x89873)))
% 199.17/199.24 [8988]P32(x89881,x89882,x89883)+~P1(f317(x89882,x89884))+~P1(f317(f317(f319(x89881),x89884),f317(f162(x89881),x89883)))+P1(f317(f317(f319(x89881),f757(x89883,x89882,x89881,x89884)),f317(f162(x89881),x89883)))
% 199.17/199.24 [9065]~P79(x90651)+E(f317(f317(f317(f59(x90651,x90652,f75(x90651)),x90653),f72(x90651)),x90654),f72(x90651))+~P1(f317(f28(x90652),x90654))+P1(f317(f317(f319(x90652),f894(x90653,x90654,x90652,x90651)),x90654))
% 199.17/199.24 [9323]~P6(x93232,x93233,x93234)+~P1(f317(f28(x93232),x93233))+~P1(f317(f317(f276(a901),x93231),f317(f29(x93232),f838(x93231,x93234,x93233,x93232))))+P1(f317(f317(f276(a901),x93231),f317(f29(x93232),x93233)))
% 199.17/199.24 [9561]~P1(f317(f317(f276(a901),x95611),x95613))+~P1(f317(f317(f276(a901),x95611),x95612))+~P1(f317(f317(f276(a901),x95614),x95613))+~P1(f317(f317(f225(f907(a901,a897)),f279(a901,f276(a901),x95611,x95613)),f279(a901,f276(a901),x95612,x95614)))
% 199.17/199.24 [9568]~P1(f317(f317(f224(a1),x95684),f2(a1)))+P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f75(a1),x95681),f40(a1,x95682,x95683))),x95684)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x95683))+~P1(f317(f317(f225(a1),x95681),x95684))
% 199.17/199.24 [10030]~P1(f317(f28(x100301),x100302))+~P1(f317(f317(f319(x100301),x100304),x100302))+~P1(f317(f317(f319(x100301),x100303),x100302))+P1(f317(f317(f225(a901),f317(f29(x100301),f317(f317(f3(f907(x100301,a897)),f317(f317(f3(f907(x100301,a897)),x100302),f317(f317(f299(x100301),x100303),f179(f907(x100301,a897))))),f317(f317(f299(x100301),x100304),f179(f907(x100301,a897)))))),f317(f29(x100301),x100302)))
% 199.17/199.24 [6975]~P145(x69753)+~P121(x69753)+P1(f317(x69751,f835(x69752,x69751,x69753)))+~P1(f317(x69751,f317(f317(f75(x69753),x69752),x69754)))
% 199.17/199.24 [7035]~P108(x70351)+~P1(f317(f317(f224(x70351),x70352),x70354))+~P1(f317(f317(f224(x70351),x70352),x70353))+P1(f317(f317(f224(x70351),x70352),f317(f317(f228(x70351),x70353),x70354)))
% 199.17/199.24 [7038]~P103(x70381)+~P1(f317(f317(f224(x70381),x70382),x70384))+~P1(f317(f317(f224(x70381),x70382),x70383))+P1(f317(f317(f224(x70381),x70382),f317(f317(f92(x70381),x70383),x70384)))
% 199.17/199.24 [7039]~P108(x70391)+~P1(f317(f317(f225(x70391),x70392),x70394))+~P1(f317(f317(f225(x70391),x70392),x70393))+P1(f317(f317(f225(x70391),x70392),f317(f317(f228(x70391),x70393),x70394)))
% 199.17/199.24 [7040]~P113(x70401)+~P1(f317(f317(f276(x70401),x70402),x70404))+~P1(f317(f317(f276(x70401),x70402),x70403))+P1(f317(f317(f276(x70401),x70402),f317(f317(f3(x70401),x70403),x70404)))
% 199.17/199.24 [7041]~P118(x70411)+~P1(f317(f317(f276(x70411),x70412),x70414))+~P1(f317(f317(f276(x70411),x70412),x70413))+P1(f317(f317(f276(x70411),x70412),f317(f317(f74(x70411),x70413),x70414)))
% 199.17/199.24 [7061]~P62(x70612)+E(x70611,f2(x70612))+E(f317(f317(f280(x70612),f317(f317(f234(x70612),x70611),x70613)),f317(f317(f234(x70612),x70611),x70614)),f317(f317(f234(x70612),x70611),f317(f317(f3(a901),x70613),x70614)))+~P1(f317(f317(f224(a901),x70614),x70613))
% 199.17/199.24 [7108]~P108(x71081)+~P11(x71081,f317(f317(f141(x71081),x71083),x71084))+P11(x71081,f317(f317(f141(x71081),x71082),f317(f317(f141(x71081),x71083),x71084)))+~P1(f317(f317(f224(x71081),x71082),x71083))
% 199.17/199.24 [7144]~P92(x71441)+~P1(f317(f317(f224(x71441),f2(x71441)),x71444))+~P1(f317(f317(f224(x71441),x71442),x71443))+P1(f317(f317(f224(x71441),x71442),f317(f317(f74(x71441),x71443),x71444)))
% 199.17/199.24 [7145]~P92(x71451)+~P1(f317(f317(f224(x71451),f2(x71451)),x71453))+~P1(f317(f317(f224(x71451),x71452),x71454))+P1(f317(f317(f224(x71451),x71452),f317(f317(f74(x71451),x71453),x71454)))
% 199.17/199.24 [7146]~P126(x71461)+~P1(f317(f317(f225(x71461),f2(x71461)),x71463))+~P1(f317(f317(f225(x71461),x71462),x71464))+P1(f317(f317(f225(x71461),x71462),f317(f317(f74(x71461),x71463),x71464)))
% 199.17/199.24 [7147]~P92(x71471)+~P1(f317(f317(f224(x71471),x71472),x71474))+~P1(f317(f317(f225(x71471),f2(x71471)),x71473))+P1(f317(f317(f225(x71471),x71472),f317(f317(f74(x71471),x71473),x71474)))
% 199.17/199.24 [7148]~P92(x71481)+~P1(f317(f317(f224(x71481),f2(x71481)),x71483))+~P1(f317(f317(f225(x71481),x71482),x71484))+P1(f317(f317(f225(x71481),x71482),f317(f317(f74(x71481),x71483),x71484)))
% 199.17/199.24 [7188]~P108(x71881)+P1(f317(f317(f224(x71881),x71882),x71883))+P1(f317(f317(f224(x71881),x71882),x71884))+~P1(f317(f317(f224(x71881),x71882),f317(f317(f178(x71881),x71884),x71883)))
% 199.17/199.24 [7189]~P108(x71891)+P1(f317(f317(f225(x71891),x71892),x71893))+P1(f317(f317(f225(x71891),x71892),x71894))+~P1(f317(f317(f225(x71891),x71892),f317(f317(f178(x71891),x71894),x71893)))
% 199.17/199.24 [7474]~P109(x74742)+~P60(x74741)+~P1(f317(f317(f225(f907(x74741,x74742)),x74743),x74744))+P1(f317(f317(f224(f907(x74741,x74742)),x74743),x74744))
% 199.17/199.24 [7835]~P64(x78351)+~P1(f317(f317(f225(x78351),x78354),f2(x78351)))+~P1(f317(f317(f224(x78351),x78353),f317(f317(f280(x78351),x78352),x78354)))+P1(f317(f317(f224(x78351),x78352),f317(f317(f75(x78351),x78353),x78354)))
% 199.17/199.24 [7836]~P64(x78361)+~P1(f317(f317(f225(x78361),x78364),f2(x78361)))+~P1(f317(f317(f224(x78361),x78363),f317(f317(f75(x78361),x78362),x78364)))+P1(f317(f317(f224(x78361),x78362),f317(f317(f280(x78361),x78363),x78364)))
% 199.17/199.24 [7837]~P64(x78371)+~P1(f317(f317(f225(x78371),x78374),f2(x78371)))+~P1(f317(f317(f225(x78371),x78373),f317(f317(f280(x78371),x78372),x78374)))+P1(f317(f317(f225(x78371),x78372),f317(f317(f75(x78371),x78373),x78374)))
% 199.17/199.24 [7838]~P64(x78381)+~P1(f317(f317(f225(x78381),x78384),f2(x78381)))+~P1(f317(f317(f225(x78381),x78383),f317(f317(f75(x78381),x78382),x78384)))+P1(f317(f317(f225(x78381),x78382),f317(f317(f280(x78381),x78383),x78384)))
% 199.17/199.24 [7950]~P111(x79501)+~P1(f317(f317(f224(x79501),x79502),f2(x79501)))+~P1(f317(f317(f224(x79501),x79504),x79503))+P1(f317(f317(f224(x79501),f317(f317(f75(x79501),x79502),x79503)),f317(f317(f75(x79501),x79502),x79504)))
% 199.17/199.24 [7951]~P128(x79511)+~P1(f317(f317(f225(x79511),x79512),f2(x79511)))+~P1(f317(f317(f224(x79511),x79514),x79513))+P1(f317(f317(f224(x79511),f317(f317(f75(x79511),x79512),x79513)),f317(f317(f75(x79511),x79512),x79514)))
% 199.17/199.24 [7952]~P111(x79521)+~P1(f317(f317(f224(x79521),x79523),f2(x79521)))+~P1(f317(f317(f224(x79521),x79524),x79522))+P1(f317(f317(f224(x79521),f317(f317(f75(x79521),x79522),x79523)),f317(f317(f75(x79521),x79524),x79523)))
% 199.17/199.24 [7953]~P63(x79531)+~P1(f317(f317(f224(x79531),x79533),f2(x79531)))+~P1(f317(f317(f224(x79531),x79534),x79532))+P1(f317(f317(f224(x79531),f317(f317(f280(x79531),x79532),x79533)),f317(f317(f280(x79531),x79534),x79533)))
% 199.17/199.24 [7957]~P128(x79571)+~P1(f317(f317(f225(x79571),x79573),f2(x79571)))+~P1(f317(f317(f225(x79571),x79574),x79572))+P1(f317(f317(f225(x79571),f317(f317(f75(x79571),x79572),x79573)),f317(f317(f75(x79571),x79574),x79573)))
% 199.17/199.24 [7958]~P128(x79581)+~P1(f317(f317(f225(x79581),x79582),f2(x79581)))+~P1(f317(f317(f225(x79581),x79584),x79583))+P1(f317(f317(f225(x79581),f317(f317(f75(x79581),x79582),x79583)),f317(f317(f75(x79581),x79582),x79584)))
% 199.17/199.24 [7959]~P64(x79591)+~P1(f317(f317(f225(x79591),x79593),f2(x79591)))+~P1(f317(f317(f225(x79591),x79594),x79592))+P1(f317(f317(f225(x79591),f317(f317(f280(x79591),x79592),x79593)),f317(f317(f280(x79591),x79594),x79593)))
% 199.17/199.24 [7960]~P126(x79601)+~P1(f317(f317(f225(x79601),f72(x79601)),x79602))+~P1(f317(f317(f224(a901),x79603),x79604))+P1(f317(f317(f224(x79601),f317(f317(f234(x79601),x79602),x79603)),f317(f317(f234(x79601),x79602),x79604)))
% 199.17/199.24 [7961]~P126(x79611)+~P1(f317(f317(f224(x79611),f72(x79611)),x79612))+~P1(f317(f317(f224(a901),x79613),x79614))+P1(f317(f317(f224(x79611),f317(f317(f234(x79611),x79612),x79613)),f317(f317(f234(x79611),x79612),x79614)))
% 199.17/199.24 [7963]~P126(x79631)+~P1(f317(f317(f225(x79631),f72(x79631)),x79632))+~P1(f317(f317(f225(a901),x79633),x79634))+P1(f317(f317(f225(x79631),f317(f317(f234(x79631),x79632),x79633)),f317(f317(f234(x79631),x79632),x79634)))
% 199.17/199.24 [7986]P1(f317(f317(f225(a901),f2(a901)),f317(x79861,x79862)))+~P1(f317(f28(x79863),x79864))+~P1(f317(f317(f319(x79863),x79862),x79864))+~P1(f317(f317(f225(a901),f2(a901)),f317(f317(f11(x79863,a901),x79861),x79864)))
% 199.17/199.24 [7995]~P128(x79951)+~P1(f317(f317(f225(x79951),f2(x79951)),x79952))+~P1(f317(f317(f224(x79951),x79953),x79954))+P1(f317(f317(f224(x79951),f317(f317(f75(x79951),x79952),x79953)),f317(f317(f75(x79951),x79952),x79954)))
% 199.17/199.24 [7996]~P137(x79961)+~P1(f317(f317(f224(x79961),x79963),x79964))+~P1(f317(f317(f224(x79961),f2(x79961)),x79962))+P1(f317(f317(f224(x79961),f317(f317(f75(x79961),x79962),x79963)),f317(f317(f75(x79961),x79962),x79964)))
% 199.17/199.24 [7997]~P136(x79971)+~P1(f317(f317(f224(x79971),x79973),x79974))+~P1(f317(f317(f224(x79971),f2(x79971)),x79972))+P1(f317(f317(f224(x79971),f317(f317(f75(x79971),x79972),x79973)),f317(f317(f75(x79971),x79972),x79974)))
% 199.17/199.24 [7998]~P137(x79981)+~P1(f317(f317(f224(x79981),x79982),x79984))+~P1(f317(f317(f224(x79981),f2(x79981)),x79983))+P1(f317(f317(f224(x79981),f317(f317(f75(x79981),x79982),x79983)),f317(f317(f75(x79981),x79984),x79983)))
% 199.17/199.24 [7999]~P126(x79991)+~P1(f317(f317(f224(x79991),x79992),x79994))+~P1(f317(f317(f224(x79991),f2(x79991)),x79992))+P1(f317(f317(f224(x79991),f317(f317(f234(x79991),x79992),x79993)),f317(f317(f234(x79991),x79994),x79993)))
% 199.17/199.24 [8000]~P63(x80001)+~P1(f317(f317(f224(x80001),x80002),x80004))+~P1(f317(f317(f224(x80001),f2(x80001)),x80003))+P1(f317(f317(f224(x80001),f317(f317(f280(x80001),x80002),x80003)),f317(f317(f280(x80001),x80004),x80003)))
% 199.17/199.24 [8002]~P124(x80021)+~P1(f317(f317(f225(x80021),x80023),x80024))+~P1(f317(f317(f225(x80021),f2(x80021)),x80022))+P1(f317(f317(f225(x80021),f317(f317(f75(x80021),x80022),x80023)),f317(f317(f75(x80021),x80022),x80024)))
% 199.17/199.24 [8003]~P134(x80031)+~P1(f317(f317(f225(x80031),x80033),x80034))+~P1(f317(f317(f225(x80031),f2(x80031)),x80032))+P1(f317(f317(f225(x80031),f317(f317(f75(x80031),x80032),x80033)),f317(f317(f75(x80031),x80032),x80034)))
% 199.17/199.24 [8004]~P128(x80041)+~P1(f317(f317(f225(x80041),x80042),x80044))+~P1(f317(f317(f225(x80041),f2(x80041)),x80043))+P1(f317(f317(f225(x80041),f317(f317(f75(x80041),x80042),x80043)),f317(f317(f75(x80041),x80044),x80043)))
% 199.17/199.24 [8005]~P134(x80051)+~P1(f317(f317(f225(x80051),x80052),x80054))+~P1(f317(f317(f225(x80051),f2(x80051)),x80053))+P1(f317(f317(f225(x80051),f317(f317(f75(x80051),x80052),x80053)),f317(f317(f75(x80051),x80054),x80053)))
% 199.17/199.24 [8006]~P128(x80061)+~P1(f317(f317(f225(x80061),x80063),x80064))+~P1(f317(f317(f225(x80061),f2(x80061)),x80062))+P1(f317(f317(f225(x80061),f317(f317(f75(x80061),x80062),x80063)),f317(f317(f75(x80061),x80062),x80064)))
% 199.17/199.24 [8007]~P64(x80071)+~P1(f317(f317(f225(x80071),x80072),x80074))+~P1(f317(f317(f225(x80071),f2(x80071)),x80073))+P1(f317(f317(f225(x80071),f317(f317(f280(x80071),x80072),x80073)),f317(f317(f280(x80071),x80074),x80073)))
% 199.17/199.24 [8045]~P107(x80452)+P1(f317(f317(f225(f907(x80451,x80452)),x80454),x80453))+~P1(f317(f317(f224(f907(x80451,x80452)),x80454),x80453))+P1(f317(f317(f224(f907(x80451,x80452)),x80453),x80454))
% 199.17/199.24 [8083]P1(f317(f317(f319(x80831),x80832),x80833))+P1(f317(f317(f319(x80831),x80832),x80834))+~P1(f317(f317(f224(f907(x80831,a897)),x80834),x80833))+P1(f317(f317(f225(f907(x80831,a897)),x80834),f317(f317(f299(x80831),x80832),x80833)))
% 199.17/199.24 [8198]~P120(x81982)+E(x81981,f2(x81982))+P1(f317(f317(f276(x81982),x81983),x81984))+~P1(f317(f317(f276(x81982),f317(f317(f75(x81982),x81983),x81981)),f317(f317(f75(x81982),x81984),x81981)))
% 199.17/199.24 [8199]~P120(x81992)+E(x81991,f2(x81992))+P1(f317(f317(f276(x81992),x81993),x81994))+~P1(f317(f317(f276(x81992),f317(f317(f75(x81992),x81991),x81993)),f317(f317(f75(x81992),x81991),x81994)))
% 199.17/199.24 [8249]P1(f317(f317(f319(x82491),x82492),x82493))+P1(f317(f317(f319(x82491),x82492),x82494))+~P1(f317(f317(f225(f907(x82491,a897)),x82494),f317(f317(f299(x82491),x82492),x82493)))+P1(f317(f317(f224(f907(x82491,a897)),x82494),x82493))
% 199.17/199.24 [8315]~P128(x83151)+P1(f317(f317(f225(x83151),x83153),x83152))+P1(f317(f317(f225(x83151),x83152),x83153))+~P1(f317(f317(f225(x83151),f317(f317(f75(x83151),x83154),x83152)),f317(f317(f75(x83151),x83154),x83153)))
% 199.17/199.24 [8316]~P128(x83161)+P1(f317(f317(f225(x83161),x83163),x83162))+P1(f317(f317(f225(x83161),x83162),x83163))+~P1(f317(f317(f225(x83161),f317(f317(f75(x83161),x83162),x83164)),f317(f317(f75(x83161),x83163),x83164)))
% 199.17/199.24 [8326]~P128(x83261)+P1(f317(f317(f225(x83261),x83264),f2(x83261)))+P1(f317(f317(f225(x83261),x83262),x83263))+~P1(f317(f317(f225(x83261),f317(f317(f75(x83261),x83262),x83264)),f317(f317(f75(x83261),x83263),x83264)))
% 199.17/199.24 [8327]~P128(x83271)+P1(f317(f317(f225(x83271),x83274),f2(x83271)))+P1(f317(f317(f225(x83271),x83272),x83273))+~P1(f317(f317(f225(x83271),f317(f317(f75(x83271),x83274),x83272)),f317(f317(f75(x83271),x83274),x83273)))
% 199.17/199.24 [8330]~P128(x83301)+P1(f317(f317(f225(x83301),x83302),x83303))+P1(f317(f317(f225(x83301),f2(x83301)),x83304))+~P1(f317(f317(f225(x83301),f317(f317(f75(x83301),x83304),x83303)),f317(f317(f75(x83301),x83304),x83302)))
% 199.17/199.24 [8331]~P128(x83311)+P1(f317(f317(f225(x83311),x83312),x83313))+P1(f317(f317(f225(x83311),f2(x83311)),x83314))+~P1(f317(f317(f225(x83311),f317(f317(f75(x83311),x83313),x83314)),f317(f317(f75(x83311),x83312),x83314)))
% 199.17/199.24 [8343]~P128(x83431)+P1(f317(f317(f225(x83431),x83432),f2(x83431)))+P1(f317(f317(f225(x83431),f2(x83431)),x83432))+~P1(f317(f317(f225(x83431),f317(f317(f75(x83431),x83433),x83432)),f317(f317(f75(x83431),x83434),x83432)))
% 199.17/199.24 [8344]~P128(x83441)+P1(f317(f317(f225(x83441),x83442),f2(x83441)))+P1(f317(f317(f225(x83441),f2(x83441)),x83442))+~P1(f317(f317(f225(x83441),f317(f317(f75(x83441),x83442),x83443)),f317(f317(f75(x83441),x83442),x83444)))
% 199.17/199.24 [8373]~P128(x83731)+~P1(f317(f317(f225(x83731),x83734),f2(x83731)))+P1(f317(f317(f224(x83731),x83732),x83733))+~P1(f317(f317(f224(x83731),f317(f317(f75(x83731),x83734),x83733)),f317(f317(f75(x83731),x83734),x83732)))
% 199.17/199.24 [8374]~P128(x83741)+~P1(f317(f317(f225(x83741),x83744),f2(x83741)))+P1(f317(f317(f225(x83741),x83742),x83743))+~P1(f317(f317(f225(x83741),f317(f317(f75(x83741),x83744),x83743)),f317(f317(f75(x83741),x83744),x83742)))
% 199.17/199.24 [8385]~P126(x83853)+~P1(f317(f317(f225(x83853),f72(x83853)),x83854))+P1(f317(f317(f224(a901),x83851),x83852))+~P1(f317(f317(f224(x83853),f317(f317(f234(x83853),x83854),x83851)),f317(f317(f234(x83853),x83854),x83852)))
% 199.17/199.24 [8387]~P126(x83873)+~P1(f317(f317(f225(x83873),f72(x83873)),x83874))+P1(f317(f317(f225(a901),x83871),x83872))+~P1(f317(f317(f225(x83873),f317(f317(f234(x83873),x83874),x83871)),f317(f317(f234(x83873),x83874),x83872)))
% 199.17/199.24 [8397]~P128(x83971)+P1(f317(f317(f224(x83971),x83972),x83973))+~P1(f317(f317(f225(x83971),f2(x83971)),x83974))+~P1(f317(f317(f224(x83971),f317(f317(f75(x83971),x83974),x83972)),f317(f317(f75(x83971),x83974),x83973)))
% 199.17/199.24 [8398]~P134(x83981)+P1(f317(f317(f224(x83981),x83982),x83983))+~P1(f317(f317(f225(x83981),f2(x83981)),x83984))+~P1(f317(f317(f224(x83981),f317(f317(f75(x83981),x83984),x83982)),f317(f317(f75(x83981),x83984),x83983)))
% 199.17/199.24 [8399]~P134(x83991)+P1(f317(f317(f224(x83991),x83992),x83993))+~P1(f317(f317(f225(x83991),f2(x83991)),x83994))+~P1(f317(f317(f224(x83991),f317(f317(f75(x83991),x83992),x83994)),f317(f317(f75(x83991),x83993),x83994)))
% 199.17/199.24 [8400]~P128(x84001)+P1(f317(f317(f225(x84001),x84002),x84003))+~P1(f317(f317(f225(x84001),f2(x84001)),x84004))+~P1(f317(f317(f225(x84001),f317(f317(f75(x84001),x84004),x84002)),f317(f317(f75(x84001),x84004),x84003)))
% 199.17/199.24 [8401]~P134(x84011)+P1(f317(f317(f225(x84011),x84012),x84013))+~P1(f317(f317(f224(x84011),f2(x84011)),x84014))+~P1(f317(f317(f225(x84011),f317(f317(f75(x84011),x84014),x84012)),f317(f317(f75(x84011),x84014),x84013)))
% 199.17/199.24 [8402]~P130(x84021)+P1(f317(f317(f225(x84021),x84022),x84023))+~P1(f317(f317(f224(x84021),f2(x84021)),x84024))+~P1(f317(f317(f225(x84021),f317(f317(f75(x84021),x84024),x84022)),f317(f317(f75(x84021),x84024),x84023)))
% 199.17/199.24 [8403]~P126(x84031)+~P1(f317(f317(f224(x84031),f2(x84031)),x84033))+P1(f317(f317(f225(x84031),x84032),x84033))+~P1(f317(f317(f225(x84031),f317(f317(f234(x84031),x84032),x84034)),f317(f317(f234(x84031),x84033),x84034)))
% 199.17/199.24 [8404]~P134(x84041)+P1(f317(f317(f225(x84041),x84042),x84043))+~P1(f317(f317(f224(x84041),f2(x84041)),x84044))+~P1(f317(f317(f225(x84041),f317(f317(f75(x84041),x84042),x84044)),f317(f317(f75(x84041),x84043),x84044)))
% 199.17/199.24 [8405]~P130(x84051)+P1(f317(f317(f225(x84051),x84052),x84053))+~P1(f317(f317(f224(x84051),f2(x84051)),x84054))+~P1(f317(f317(f225(x84051),f317(f317(f75(x84051),x84052),x84054)),f317(f317(f75(x84051),x84053),x84054)))
% 199.17/199.24 [8446]P1(f317(f317(f319(x84461),x84462),x84463))+~P1(f317(f317(f224(f907(x84461,a897)),x84463),x84464))+~P1(f317(f317(f225(f907(x84461,a897)),x84463),x84464))+P1(f317(f317(f225(f907(x84461,a897)),x84463),f317(f317(f299(x84461),x84462),x84464)))
% 199.17/199.24 [8478]~P145(x84781)+~P121(x84781)+P1(f317(f317(f276(x84781),x84782),f317(f317(f74(x84781),f835(x84782,x84783,x84781)),f2(x84781))))+~P1(f317(x84783,f317(f317(f75(x84781),x84782),x84784)))
% 199.17/199.24 [8817]E(f317(f317(f3(a1),f417(x88171,x88172,x88173,x88174)),f418(x88171,x88172,x88173,x88174)),x88174)+~P1(f317(f317(f225(a1),f2(a1)),x88173))+~P1(f317(f317(f224(a1),x88171),x88174))+P1(f317(f317(f224(a1),x88171),f317(f317(f74(a1),x88174),x88173)))
% 199.17/199.24 [8818]E(f317(f317(f3(a1),f426(x88181,x88182,x88183,x88184)),f427(x88181,x88182,x88183,x88184)),x88184)+~P1(f317(f317(f225(a1),f2(a1)),x88183))+~P1(f317(f317(f225(a1),x88181),x88184))+P1(f317(f317(f225(a1),x88181),f317(f317(f74(a1),x88184),x88183)))
% 199.17/199.24 [8971]~E(f317(f317(f154(x89711),x89713),f658(x89714,x89713,x89711,x89712)),f317(f317(f154(x89711),x89714),f658(x89714,x89713,x89711,x89712)))+E(f317(f317(f165(x89711),x89712),x89713),f317(f317(f165(x89711),x89712),x89714))+~P1(f317(f317(f224(a901),x89712),f317(f180(f902(x89711)),x89713)))+~P1(f317(f317(f224(a901),x89712),f317(f180(f902(x89711)),x89714)))
% 199.17/199.24 [9033]~P1(f317(f317(f225(a1),f2(a1)),x90333))+~P1(f317(f317(f224(a1),x90331),x90334))+P1(f317(f317(f319(a1),f417(x90331,x90332,x90333,x90334)),x90332))+P1(f317(f317(f224(a1),x90331),f317(f317(f74(a1),x90334),x90333)))
% 199.17/199.24 [9034]~P1(f317(f317(f225(a1),f2(a1)),x90343))+~P1(f317(f317(f225(a1),x90341),x90344))+P1(f317(f317(f319(a1),f426(x90341,x90342,x90343,x90344)),x90342))+P1(f317(f317(f225(a1),x90341),f317(f317(f74(a1),x90344),x90343)))
% 199.17/199.24 [9074]~P108(x90741)+~P1(f317(f28(x90741),x90743))+~P1(f317(f317(f319(x90741),x90744),x90743))+P1(f317(f317(f224(x90741),f317(f317(f58(x90741,x90741,f228(x90741)),x90742),x90743)),f317(f317(f228(x90741),x90744),x90742)))
% 199.17/199.24 [9075]~P103(x90751)+~P1(f317(f28(x90751),x90753))+~P1(f317(f317(f319(x90751),x90754),x90753))+P1(f317(f317(f224(x90751),f317(f317(f58(x90751,x90751,f92(x90751)),x90752),x90753)),f317(f317(f92(x90751),x90754),x90752)))
% 199.17/199.24 [9082]~P6(x90822,x90823,x90824)+~P1(f317(f28(x90822),x90823))+P1(f317(f317(f276(a901),x90821),f317(f29(x90822),x90823)))+P1(f317(f317(f319(f907(x90822,a897)),f838(x90821,x90824,x90823,x90822)),f317(f317(f55(x90822),x90823),x90824)))
% 199.17/199.24 [9119]E(f317(f317(f165(x91191),x91192),x91193),f317(f317(f165(x91191),x91192),x91194))+P1(f317(f317(f225(a901),f658(x91193,x91194,x91191,x91192)),x91192))+~P1(f317(f317(f224(a901),x91192),f317(f180(f902(x91191)),x91193)))+~P1(f317(f317(f224(a901),x91192),f317(f180(f902(x91191)),x91194)))
% 199.17/199.24 [9124]~P1(f317(f317(f225(a1),f2(a1)),x91243))+~P1(f317(f317(f224(a1),x91241),x91242))+P1(f317(f317(f319(a1),f418(x91241,x91244,x91243,x91242)),f294(a1,f72(a1),x91243)))+P1(f317(f317(f224(a1),x91241),f317(f317(f74(a1),x91242),x91243)))
% 199.17/199.24 [9125]~P1(f317(f317(f225(a1),f2(a1)),x91253))+~P1(f317(f317(f225(a1),x91251),x91252))+P1(f317(f317(f319(a1),f427(x91251,x91254,x91253,x91252)),f294(a1,f72(a1),x91253)))+P1(f317(f317(f225(a1),x91251),f317(f317(f74(a1),x91252),x91253)))
% 199.17/199.24 [9450]~P67(x94501)+~P1(f317(f28(x94501),x94504))+P1(f317(f317(f319(x94501),f590(x94502,x94503,x94504,x94501)),x94504))+P1(f317(f317(f224(x94501),f317(f317(f58(x94501,x94501,f91(x94501)),x94502),x94504)),f317(f317(f91(x94501),x94503),x94502)))
% 199.17/199.24 [9451]~P108(x94511)+~P1(f317(f28(x94511),x94514))+P1(f317(f317(f319(x94511),f856(x94512,x94513,x94514,x94511)),x94514))+P1(f317(f317(f224(x94511),f317(f317(f58(x94511,x94511,f178(x94511)),x94512),x94514)),f317(f317(f178(x94511),x94513),x94512)))
% 199.17/199.24 [9582]~P67(x95821)+~P1(f317(f28(x95821),x95823))+~P1(f317(f317(f224(x95821),f590(x95822,x95824,x95823,x95821)),x95824))+P1(f317(f317(f224(x95821),f317(f317(f58(x95821,x95821,f91(x95821)),x95822),x95823)),f317(f317(f91(x95821),x95824),x95822)))
% 199.17/199.24 [9583]~P108(x95831)+~P1(f317(f28(x95831),x95833))+~P1(f317(f317(f224(x95831),f856(x95832,x95834,x95833,x95831)),x95834))+P1(f317(f317(f224(x95831),f317(f317(f58(x95831,x95831,f178(x95831)),x95832),x95833)),f317(f317(f178(x95831),x95834),x95832)))
% 199.17/199.24 [9585]~P1(f317(f317(f224(a1),f2(a1)),x95854))+~P1(f317(f317(f225(a1),f2(a1)),x95853))+~P1(f317(f317(f225(a1),x95854),x95851))+P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f75(a1),x95851),f40(a1,x95852,x95853))),x95854)),f317(f317(f75(a1),x95851),x95853)))
% 199.17/199.24 [10003]E(x100031,x100032)+P1(f317(f317(f319(f906(f902(x100033),f902(x100033))),f317(f317(f242(f902(x100033),f902(x100033)),x100032),x100031)),f137(x100033,x100034)))+P1(f317(f317(f319(f906(f902(x100033),f902(x100033))),f317(f317(f242(f902(x100033),f902(x100033)),x100031),x100032)),f137(x100033,x100034)))+~P1(f317(f317(f319(f906(x100033,x100033)),f317(f317(f242(x100033,x100033),f638(x100031,x100032,x100034,x100033)),f639(x100031,x100032,x100034,x100033))),x100034))
% 199.17/199.24 [10004]E(x100041,x100042)+P1(f317(f317(f319(f906(f902(x100043),f902(x100043))),f317(f317(f242(f902(x100043),f902(x100043)),x100042),x100041)),f137(x100043,x100044)))+P1(f317(f317(f319(f906(f902(x100043),f902(x100043))),f317(f317(f242(f902(x100043),f902(x100043)),x100041),x100042)),f137(x100043,x100044)))+~P1(f317(f317(f319(f906(x100043,x100043)),f317(f317(f242(x100043,x100043),f639(x100041,x100042,x100044,x100043)),f638(x100041,x100042,x100044,x100043))),x100044))
% 199.17/199.24 [7539]~P67(x75391)+~P1(f317(f317(f224(x75391),x75393),x75394))+~P1(f317(f317(f224(x75391),x75392),x75394))+P1(f317(f317(f224(x75391),f317(f317(f91(x75391),x75392),x75393)),x75394))
% 199.17/199.24 [7542]~P108(x75421)+~P1(f317(f317(f224(x75421),x75423),x75424))+~P1(f317(f317(f224(x75421),x75422),x75424))+P1(f317(f317(f224(x75421),f317(f317(f178(x75421),x75422),x75423)),x75424))
% 199.17/199.24 [7543]~P108(x75431)+~P1(f317(f317(f225(x75431),x75433),x75434))+~P1(f317(f317(f225(x75431),x75432),x75434))+P1(f317(f317(f225(x75431),f317(f317(f178(x75431),x75432),x75433)),x75434))
% 199.17/199.24 [7779]~P58(x77791)+E(f317(f317(f74(x77791),f317(f317(f30(x77791),x77792),x77793)),f317(f317(f30(x77791),x77794),x77793)),f317(f317(f30(x77791),f317(f317(f74(x77791),x77792),x77794)),x77793))+~P1(f317(f317(f276(x77791),x77793),x77794))+~P1(f317(f317(f276(x77791),x77793),x77792))
% 199.17/199.24 [7861]~E(x78611,x78613)+E(f129(a901,f317(f293(a901,x78611),x78612)),f317(f317(f141(a901),x78613),x78614))+~E(f129(a901,f317(f293(a901,f317(f317(f74(a901),x78611),f72(a901))),x78612)),x78614)+~P1(f317(f317(f225(a901),x78611),x78612))
% 199.17/199.24 [7870]~P108(x78701)+P1(f317(f317(f224(x78701),x78702),x78703))+P1(f317(f317(f224(x78701),x78704),x78703))+~P1(f317(f317(f224(x78701),f317(f317(f228(x78701),x78704),x78702)),x78703))
% 199.17/199.24 [7871]~P108(x78711)+P1(f317(f317(f225(x78711),x78712),x78713))+P1(f317(f317(f225(x78711),x78714),x78713))+~P1(f317(f317(f225(x78711),f317(f317(f228(x78711),x78714),x78712)),x78713))
% 199.17/199.24 [8141]~P63(x81411)+~P1(f317(f317(f225(x81411),f2(x81411)),x81413))+~P1(f317(f317(f224(x81411),x81412),f317(f317(f280(x81411),x81414),x81413)))+P1(f317(f317(f224(x81411),f317(f317(f75(x81411),x81412),x81413)),x81414))
% 199.17/199.24 [8142]~P64(x81421)+~P1(f317(f317(f225(x81421),f2(x81421)),x81423))+~P1(f317(f317(f224(x81421),x81422),f317(f317(f280(x81421),x81424),x81423)))+P1(f317(f317(f224(x81421),f317(f317(f75(x81421),x81422),x81423)),x81424))
% 199.17/199.24 [8143]~P63(x81431)+~P1(f317(f317(f225(x81431),f2(x81431)),x81433))+~P1(f317(f317(f224(x81431),x81432),f317(f317(f75(x81431),x81434),x81433)))+P1(f317(f317(f224(x81431),f317(f317(f280(x81431),x81432),x81433)),x81434))
% 199.17/199.24 [8145]~P64(x81451)+~P1(f317(f317(f225(x81451),f2(x81451)),x81453))+~P1(f317(f317(f224(x81451),x81452),f317(f317(f75(x81451),x81454),x81453)))+P1(f317(f317(f224(x81451),f317(f317(f280(x81451),x81452),x81453)),x81454))
% 199.17/199.24 [8146]~P63(x81461)+~P1(f317(f317(f225(x81461),f2(x81461)),x81463))+~P1(f317(f317(f225(x81461),x81462),f317(f317(f280(x81461),x81464),x81463)))+P1(f317(f317(f225(x81461),f317(f317(f75(x81461),x81462),x81463)),x81464))
% 199.17/199.24 [8147]~P64(x81471)+~P1(f317(f317(f225(x81471),f2(x81471)),x81473))+~P1(f317(f317(f225(x81471),x81472),f317(f317(f280(x81471),x81474),x81473)))+P1(f317(f317(f225(x81471),f317(f317(f75(x81471),x81472),x81473)),x81474))
% 199.17/199.24 [8148]~P63(x81481)+~P1(f317(f317(f225(x81481),f2(x81481)),x81483))+~P1(f317(f317(f225(x81481),x81482),f317(f317(f75(x81481),x81484),x81483)))+P1(f317(f317(f225(x81481),f317(f317(f280(x81481),x81482),x81483)),x81484))
% 199.17/199.24 [8150]~P64(x81501)+~P1(f317(f317(f225(x81501),f2(x81501)),x81503))+~P1(f317(f317(f225(x81501),x81502),f317(f317(f75(x81501),x81504),x81503)))+P1(f317(f317(f225(x81501),f317(f317(f280(x81501),x81502),x81503)),x81504))
% 199.17/199.24 [8284]~P63(x82841)+~P1(f317(f317(f225(x82841),f2(x82841)),x82844))+P1(f317(f317(f224(x82841),x82842),f317(f317(f75(x82841),x82843),x82844)))+~P1(f317(f317(f224(x82841),f317(f317(f280(x82841),x82842),x82844)),x82843))
% 199.17/199.24 [8285]~P63(x82851)+~P1(f317(f317(f225(x82851),f2(x82851)),x82854))+P1(f317(f317(f224(x82851),x82852),f317(f317(f280(x82851),x82853),x82854)))+~P1(f317(f317(f224(x82851),f317(f317(f75(x82851),x82852),x82854)),x82853))
% 199.17/199.24 [8287]~P64(x82871)+~P1(f317(f317(f225(x82871),f2(x82871)),x82874))+P1(f317(f317(f224(x82871),x82872),f317(f317(f75(x82871),x82873),x82874)))+~P1(f317(f317(f224(x82871),f317(f317(f280(x82871),x82872),x82874)),x82873))
% 199.17/199.24 [8288]~P64(x82881)+~P1(f317(f317(f225(x82881),f2(x82881)),x82884))+P1(f317(f317(f224(x82881),x82882),f317(f317(f280(x82881),x82883),x82884)))+~P1(f317(f317(f224(x82881),f317(f317(f75(x82881),x82882),x82884)),x82883))
% 199.17/199.24 [8289]~P63(x82891)+~P1(f317(f317(f225(x82891),f2(x82891)),x82894))+P1(f317(f317(f225(x82891),x82892),f317(f317(f75(x82891),x82893),x82894)))+~P1(f317(f317(f225(x82891),f317(f317(f280(x82891),x82892),x82894)),x82893))
% 199.17/199.24 [8290]~P63(x82901)+~P1(f317(f317(f225(x82901),f2(x82901)),x82904))+P1(f317(f317(f225(x82901),x82902),f317(f317(f280(x82901),x82903),x82904)))+~P1(f317(f317(f225(x82901),f317(f317(f75(x82901),x82902),x82904)),x82903))
% 199.17/199.24 [8292]~P64(x82921)+~P1(f317(f317(f225(x82921),f2(x82921)),x82924))+P1(f317(f317(f225(x82921),x82922),f317(f317(f75(x82921),x82923),x82924)))+~P1(f317(f317(f225(x82921),f317(f317(f280(x82921),x82922),x82924)),x82923))
% 199.17/199.24 [8293]~P64(x82931)+~P1(f317(f317(f225(x82931),f2(x82931)),x82934))+P1(f317(f317(f225(x82931),x82932),f317(f317(f280(x82931),x82933),x82934)))+~P1(f317(f317(f225(x82931),f317(f317(f75(x82931),x82932),x82934)),x82933))
% 199.17/199.24 [8449]~P64(x84491)+~P1(f317(f317(f225(x84491),x84493),f2(x84491)))+~P1(f317(f317(f224(x84491),f317(f317(f280(x84491),x84494),x84493)),x84492))+P1(f317(f317(f224(x84491),f317(f317(f75(x84491),x84492),x84493)),x84494))
% 199.17/199.24 [8450]~P64(x84501)+~P1(f317(f317(f225(x84501),x84503),f2(x84501)))+~P1(f317(f317(f224(x84501),f317(f317(f75(x84501),x84504),x84503)),x84502))+P1(f317(f317(f224(x84501),f317(f317(f280(x84501),x84502),x84503)),x84504))
% 199.17/199.24 [8451]~P64(x84511)+~P1(f317(f317(f225(x84511),x84513),f2(x84511)))+~P1(f317(f317(f225(x84511),f317(f317(f280(x84511),x84514),x84513)),x84512))+P1(f317(f317(f225(x84511),f317(f317(f75(x84511),x84512),x84513)),x84514))
% 199.17/199.24 [8452]~P64(x84521)+~P1(f317(f317(f225(x84521),x84523),f2(x84521)))+~P1(f317(f317(f225(x84521),f317(f317(f75(x84521),x84524),x84523)),x84522))+P1(f317(f317(f225(x84521),f317(f317(f280(x84521),x84522),x84523)),x84524))
% 199.17/199.24 [8464]~P1(f317(x84641,x84644))+~P1(f317(f317(f225(a901),x84642),f317(f317(f75(a901),x84643),f317(a102,x84644))))+P1(f317(x84641,f317(f317(f30(a901),x84642),x84643)))+~P1(f317(f317(f224(a901),f317(f317(f75(a901),x84643),x84644)),x84642))
% 199.17/199.24 [8672]~P67(x86721)+~P1(f317(f28(x86721),x86724))+~P1(f317(f317(f319(x86721),x86722),x86724))+P1(f317(f317(f224(x86721),f317(f317(f91(x86721),x86722),x86723)),f317(f317(f58(x86721,x86721,f91(x86721)),x86723),x86724)))
% 199.17/199.24 [8673]~P108(x86731)+~P1(f317(f28(x86731),x86734))+~P1(f317(f317(f319(x86731),x86732),x86734))+P1(f317(f317(f224(x86731),f317(f317(f178(x86731),x86732),x86733)),f317(f317(f58(x86731,x86731,f178(x86731)),x86733),x86734)))
% 199.17/199.24 [8819]~P1(f317(f28(x88191),x88192))+E(f317(f29(x88191),f317(f317(f3(f907(x88191,a897)),x88192),f317(f317(f299(x88191),x88193),x88194))),f317(f317(f3(a901),f317(f29(x88191),f317(f317(f3(f907(x88191,a897)),x88192),x88194))),f72(a901)))+P1(f317(f317(f319(x88191),x88193),x88194))+~P1(f317(f317(f319(x88191),x88193),x88192))
% 199.17/199.24 [8895]E(f317(f317(f74(a1),f420(x88951,x88952,x88953,x88954)),f421(x88951,x88952,x88953,x88954)),x88954)+~P1(f317(f317(f225(a1),f2(a1)),x88953))+~P1(f317(f317(f224(a1),x88954),x88951))+P1(f317(f317(f224(a1),f317(f317(f3(a1),x88954),x88953)),x88951))
% 199.17/199.24 [8896]E(f317(f317(f74(a1),f428(x88961,x88962,x88963,x88964)),f425(x88961,x88962,x88963,x88964)),x88964)+~P1(f317(f317(f225(a1),f2(a1)),x88963))+~P1(f317(f317(f225(a1),x88964),x88961))+P1(f317(f317(f225(a1),f317(f317(f3(a1),x88964),x88963)),x88961))
% 199.17/199.24 [9104]~P1(f317(f317(f225(a1),f2(a1)),x91043))+~P1(f317(f317(f224(a1),x91044),x91041))+P1(f317(f317(f319(a1),f420(x91041,x91042,x91043,x91044)),x91042))+P1(f317(f317(f224(a1),f317(f317(f3(a1),x91044),x91043)),x91041))
% 199.17/199.24 [9105]~P1(f317(f317(f225(a1),f2(a1)),x91053))+~P1(f317(f317(f225(a1),x91054),x91051))+P1(f317(f317(f319(a1),f428(x91051,x91052,x91053,x91054)),x91052))+P1(f317(f317(f225(a1),f317(f317(f3(a1),x91054),x91053)),x91051))
% 199.17/199.24 [9180]~P1(f317(f317(f225(a1),f2(a1)),x91802))+~P1(f317(f317(f224(a1),x91801),x91803))+P1(f317(f317(f319(a1),f421(x91803,x91804,x91802,x91801)),f294(a1,f72(a1),x91802)))+P1(f317(f317(f224(a1),f317(f317(f3(a1),x91801),x91802)),x91803))
% 199.17/199.24 [9181]~P1(f317(f317(f225(a1),f2(a1)),x91812))+~P1(f317(f317(f225(a1),x91811),x91813))+P1(f317(f317(f319(a1),f425(x91813,x91814,x91812,x91811)),f294(a1,f72(a1),x91812)))+P1(f317(f317(f225(a1),f317(f317(f3(a1),x91811),x91812)),x91813))
% 199.17/199.24 [9198]~P1(f317(f317(f224(a1),f2(a1)),x91984))+~P1(f317(f317(f225(a1),f2(a1)),x91983))+~P1(f317(f317(f225(a1),x91984),x91981))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),f317(f317(f75(a1),x91981),f40(a1,x91982,x91983))),x91984)))
% 199.17/199.24 [9232]E(x92321,x92322)+~P36(x92323,x92324)+~P1(f317(f317(f319(f906(x92323,x92323)),f317(f317(f242(x92323,x92323),x92322),x92321)),x92324))+~P1(f317(f317(f319(f906(x92323,x92323)),f317(f317(f242(x92323,x92323),x92321),x92322)),x92324))
% 199.17/199.24 [9269]~P108(x92691)+~P1(f317(f28(x92691),x92694))+~P1(f317(f317(f224(x92691),x92692),f855(x92693,x92692,x92694,x92691)))+P1(f317(f317(f224(x92691),f317(f317(f228(x92691),x92692),x92693)),f317(f317(f58(x92691,x92691,f228(x92691)),x92693),x92694)))
% 199.17/199.24 [9270]~P103(x92701)+~P1(f317(f28(x92701),x92704))+~P1(f317(f317(f224(x92701),x92702),f864(x92703,x92702,x92704,x92701)))+P1(f317(f317(f224(x92701),f317(f317(f92(x92701),x92702),x92703)),f317(f317(f58(x92701,x92701,f92(x92701)),x92703),x92704)))
% 199.17/199.24 [9287]~P1(f317(f317(f224(a1),x92874),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x92872))+~P1(f317(f317(f225(a1),x92871),x92874))+P1(f317(f317(f225(a1),f317(f317(f75(a1),x92871),x92872)),f317(f317(f74(a1),f317(f317(f75(a1),x92871),f40(a1,x92873,x92872))),x92874)))
% 199.17/199.24 [9313]P1(f317(f28(x93131),x93132))+~P1(f317(f28(x93131),x93133))+~P1(f317(f317(f319(f907(x93131,a897)),x93132),f317(f317(f55(x93131),x93133),x93134)))+~P1(f317(f317(f224(f907(f906(x93131,x93131),a897)),x93134),f317(f317(f244(x93131,x93131),x93133),f317(f18(f907(x93131,a897),x93131),x93133))))
% 199.17/199.24 [9336]~P108(x93361)+~P1(f317(f28(x93361),x93364))+P1(f317(f317(f319(x93361),f855(x93362,x93363,x93364,x93361)),x93364))+P1(f317(f317(f224(x93361),f317(f317(f228(x93361),x93363),x93362)),f317(f317(f58(x93361,x93361,f228(x93361)),x93362),x93364)))
% 199.17/199.24 [9337]~P103(x93371)+~P1(f317(f28(x93371),x93374))+P1(f317(f317(f319(x93371),f864(x93372,x93373,x93374,x93371)),x93374))+P1(f317(f317(f224(x93371),f317(f317(f92(x93371),x93373),x93372)),f317(f317(f58(x93371,x93371,f92(x93371)),x93372),x93374)))
% 199.17/199.24 [9772]~P1(f317(f28(x97722),x97724))+~P1(f317(f28(x97721),x97723))+~P1(f317(f317(f224(a901),f317(f29(x97722),x97724)),f317(f29(x97721),x97723)))+P1(f317(f317(f224(f907(x97721,a897)),f317(f300(x97722,x97721,f514(x97723,x97721,x97724,x97722)),x97724)),x97723))
% 199.17/199.24 [9388]~P1(f317(f317(f319(x93881),x93882),x93884))+P1(f317(f317(f319(x93881),x93882),x93883))+~P1(f317(f317(f225(f907(x93881,a897)),x93884),f317(f317(f299(x93881),x93882),x93883)))+P1(f317(f317(f225(f907(x93881,a897)),f317(f317(f3(f907(x93881,a897)),x93884),f317(f317(f299(x93881),x93882),f179(f907(x93881,a897))))),x93883))
% 199.17/199.24 [9565]~P1(f317(f317(f319(x95651),x95652),x95654))+P1(f317(f317(f319(x95651),x95652),x95653))+P1(f317(f317(f225(f907(x95651,a897)),x95654),f317(f317(f299(x95651),x95652),x95653)))+~P1(f317(f317(f225(f907(x95651,a897)),f317(f317(f3(f907(x95651,a897)),x95654),f317(f317(f299(x95651),x95652),f179(f907(x95651,a897))))),x95653))
% 199.17/199.24 [9588]P1(f317(f317(f319(x95881),x95882),x95883))+~P1(f317(f317(f224(f907(x95881,a897)),x95884),x95883))+P1(f317(f317(f225(f907(x95881,a897)),x95884),f317(f317(f299(x95881),x95882),x95883)))+~P1(f317(f317(f225(f907(x95881,a897)),f317(f317(f3(f907(x95881,a897)),x95884),f317(f317(f299(x95881),x95882),f179(f907(x95881,a897))))),x95883))
% 199.17/199.24 [9593]~P1(f317(f317(f319(x95931),x95933),x95932))+~P1(f317(f317(f225(f907(x95931,a897)),x95932),x95934))+P1(f317(f317(f225(f907(x95931,a897)),x95932),f317(f317(f299(x95931),x95933),x95934)))+~P1(f317(f317(f225(f907(x95931,a897)),f317(f317(f3(f907(x95931,a897)),x95932),f317(f317(f299(x95931),x95933),f179(f907(x95931,a897))))),x95934))
% 199.17/199.24 [9610]~P1(f317(f317(f224(f907(x96101,a897)),x96102),x96104))+~P1(f317(f317(f225(f907(x96101,a897)),x96102),x96104))+P1(f317(f317(f225(f907(x96101,a897)),x96102),f317(f317(f299(x96101),x96103),x96104)))+~P1(f317(f317(f225(f907(x96101,a897)),f317(f317(f3(f907(x96101,a897)),x96102),f317(f317(f299(x96101),x96103),f179(f907(x96101,a897))))),x96104))
% 199.17/199.24 [9668]~P109(x96682)+~P60(x96681)+~P1(f317(f317(f224(f907(x96681,x96682)),x96683),x96684))+P1(f317(f52(x96681),f317(f317(f20(x96681,x96682,a897),f317(f317(f10(x96682,f907(x96682,a897),x96681),f224(x96682)),x96683)),x96684)))
% 199.17/199.24 [9821]~P109(x98212)+~P60(x98211)+P1(f317(f317(f224(f907(x98211,x98212)),x98213),x98214))+~P1(f317(f52(x98211),f317(f317(f20(x98211,x98212,a897),f317(f317(f10(x98212,f907(x98212,a897),x98211),f224(x98212)),x98213)),x98214)))
% 199.17/199.24 [9994]E(f317(f317(f154(x99941),f317(f317(f154(f902(x99941)),f169(x99941,x99942)),x99943)),x99944),f317(f317(f154(x99941),f317(f317(f154(f902(x99941)),x99942),x99944)),x99943))+~P1(f317(f317(f225(a901),x99943),f317(f180(f902(f902(x99941))),f169(x99941,x99942))))+~P11(a901,f317(f158(a901),f317(f317(f144(f902(x99941),a901),f180(f902(x99941))),x99942)))+~P1(f317(f317(f225(a901),x99944),f317(f180(f902(f902(x99941))),f317(f126(f902(x99941),f317(f317(f10(a901,a897,f902(x99941)),f317(f225(a901),x99943)),f180(f902(x99941)))),x99942))))
% 199.17/199.24 [10015]~P1(f317(f317(f319(f906(a901,a901)),x100154),x100151))+~P1(f317(f317(f319(f906(f906(a901,a901),f906(a901,a901))),f317(f317(f242(f906(a901,a901),f906(a901,a901)),x100154),x100152)),a26))+~P1(f317(f317(f319(f906(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897))),f317(f317(f242(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897)),x100151),x100153)),a63))+P1(f317(f317(f319(f906(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897))),f317(f317(f242(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897)),x100151),f317(f317(f299(f906(a901,a901)),x100152),x100153))),a63))
% 199.17/199.24 [10016]~P1(f317(f317(f319(f906(a901,a901)),x100164),x100161))+~P1(f317(f317(f319(f906(f906(a901,a901),f906(a901,a901))),f317(f317(f242(f906(a901,a901),f906(a901,a901)),x100164),x100162)),a65))+~P1(f317(f317(f319(f906(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897))),f317(f317(f242(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897)),x100161),x100163)),a66))+P1(f317(f317(f319(f906(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897))),f317(f317(f242(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897)),x100161),f317(f317(f299(f906(a901,a901)),x100162),x100163))),a66))
% 199.17/199.24 [9910]~P109(x99102)+~P60(x99101)+~P1(f317(f317(f225(f907(x99101,x99102)),x99103),x99104))+P1(f317(f51(x99101),f317(f317(f10(a897,a897,x99101),a312),f317(f317(f20(x99101,x99102,a897),f317(f317(f10(x99102,f907(x99102,a897),x99101),a314),x99103)),x99104))))
% 199.17/199.24 [10026]~P1(f317(f317(f319(f906(a901,a901)),x100264),x100263))+~P1(f317(f317(f319(f906(f906(a901,a901),f906(a901,a901))),f317(f317(f242(f906(a901,a901),f906(a901,a901)),x100261),x100264)),a26))+~P1(f317(f317(f319(f906(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897))),f317(f317(f242(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897)),x100262),x100263)),a27))+P1(f317(f317(f319(f906(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897))),f317(f317(f242(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897)),f317(f317(f299(f906(a901,a901)),x100261),x100262)),x100263)),a27))
% 199.17/199.24 [10027]~P1(f317(f317(f319(f906(a901,a901)),x100274),x100273))+~P1(f317(f317(f319(f906(f906(a901,a901),f906(a901,a901))),f317(f317(f242(f906(a901,a901),f906(a901,a901)),x100271),x100274)),a65))+~P1(f317(f317(f319(f906(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897))),f317(f317(f242(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897)),x100272),x100273)),a64))+P1(f317(f317(f319(f906(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897))),f317(f317(f242(f907(f906(a901,a901),a897),f907(f906(a901,a901),a897)),f317(f317(f299(f906(a901,a901)),x100271),x100272)),x100273)),a64))
% 199.17/199.24 [6126]~P5(x61264,x61261)+~P1(f317(f317(x61261,x61262),x61265))+P1(f317(f317(x61261,x61262),x61263))+~P1(f317(f317(x61261,x61265),x61263))
% 199.17/199.24 [6127]~P47(x61274,x61271)+~P1(f317(f317(x61271,x61272),x61275))+P1(f317(f317(x61271,x61272),x61273))+~P1(f317(f317(x61271,x61275),x61273))
% 199.17/199.24 [6128]~P13(x61284,x61281)+~P1(f317(f317(x61281,x61282),x61285))+P1(f317(f317(x61281,x61282),x61283))+~P1(f317(f317(x61281,x61285),x61283))
% 199.17/199.24 [8804]~P5(x88044,x88043)+~P1(f317(x88041,x88045))+P1(f317(x88042,f814(x88042,x88041,x88043,x88044)))+P1(f317(x88041,f813(x88042,x88041,x88043,x88044)))
% 199.17/199.24 [9041]~P5(x90414,x90413)+~P1(f317(x90412,x90415))+~P1(f317(x90411,f813(x90411,x90412,x90413,x90414)))+P1(f317(x90411,f814(x90411,x90412,x90413,x90414)))
% 199.17/199.24 [9211]~P5(x92114,x92113)+~P1(f317(x92111,x92115))+P1(f317(f317(f319(x92114),f814(x92112,x92111,x92113,x92114)),f260(x92114,x92113)))+P1(f317(x92111,f813(x92112,x92111,x92113,x92114)))
% 199.17/199.24 [9345]~P5(x93451,x93454)+~P1(f317(x93453,x93455))+~P1(f317(x93452,f813(x93452,x93453,x93454,x93451)))+P1(f317(f317(f319(x93451),f814(x93452,x93453,x93454,x93451)),f260(x93451,x93454)))
% 199.17/199.24 [9656]~P35(x96561,x96564)+P1(f317(f317(f319(f906(f902(x96561),f902(x96561))),f317(f317(f242(f902(x96561),f902(x96561)),x96562),x96563)),f137(x96561,x96564)))+~P1(f317(f317(f319(f906(f902(x96561),f902(x96561))),f317(f317(f242(f902(x96561),f902(x96561)),x96562),x96565)),f137(x96561,x96564)))+~P1(f317(f317(f319(f906(f902(x96561),f902(x96561))),f317(f317(f242(f902(x96561),f902(x96561)),x96565),x96563)),f137(x96561,x96564)))
% 199.17/199.24 [5351]~P71(x53515)+E(x53511,x53512)+~E(x53513,x53514)+~E(f317(f317(f3(x53515),x53513),x53514),f317(f317(f3(x53515),x53511),x53512))
% 199.17/199.24 [6244]~P15(x62445,x62441,x62443)+E(f317(f317(x62441,x62442),f317(x62443,x62444)),f317(x62443,x62444))+~P1(f317(f28(x62445),x62444))+~P1(f317(f317(f319(x62445),x62442),x62444))
% 199.17/199.24 [6433]~P82(x64331)+~E(f317(f317(f3(x64331),x64334),x64335),f317(f317(f3(x64331),x64332),x64333))+~P1(f317(f317(f224(x64331),x64334),x64335))+P1(f317(f317(f224(x64331),x64332),x64333))
% 199.17/199.24 [6435]~P82(x64351)+~E(f317(f317(f3(x64351),x64354),x64355),f317(f317(f3(x64351),x64352),x64353))+~P1(f317(f317(f225(x64351),x64354),x64355))+P1(f317(f317(f225(x64351),x64352),x64353))
% 199.17/199.24 [7412]~E(x74122,f317(f317(f141(x74121),x74124),x74125))+P1(f317(f317(f319(f902(x74121)),x74122),f151(x74121,x74123)))+~P1(f317(f317(f319(f902(x74121)),x74125),f151(x74121,x74123)))+~P1(f317(f317(f319(x74121),x74124),x74123))
% 199.17/199.24 [7809]~E(f317(f180(f902(x78091)),x78093),f317(f180(f902(x78092)),x78094))+~E(f317(f317(f144(f906(x78091,x78092),x78092),f246(x78091,x78092)),x78095),x78094)+~E(f317(f317(f144(f906(x78091,x78092),x78091),f241(x78091,x78092)),x78095),x78093)+E(f317(f317(f171(x78091,x78092),x78093),x78094),x78095)
% 199.17/199.24 [8137]~P109(x81371)+P1(f317(f317(f225(f907(x81371,a897)),f294(x81371,x81372,x81373)),f294(x81371,x81374,x81375)))+~P1(f317(f317(f224(x81371),x81374),x81375))+P1(f317(f317(f224(x81371),x81372),x81373))
% 199.17/199.24 [8242]~P109(x82421)+P1(f317(f317(f224(f907(x82421,a897)),f294(x82421,x82422,x82423)),f294(x82421,x82424,x82425)))+~P1(f317(f317(f224(x82421),x82423),x82425))+~P1(f317(f317(f224(x82421),x82424),x82422))
% 199.17/199.24 [8359]~P108(x83591)+P1(f317(f317(f224(x83591),x83592),x83593))+P1(f317(f317(f224(x83591),x83594),x83593))+~P1(f317(f317(f224(f907(x83591,a897)),f317(f293(x83591,x83593),x83592)),f317(f293(x83591,x83594),x83595)))
% 199.17/199.24 [8360]~P108(x83601)+P1(f317(f317(f224(x83601),x83602),x83603))+P1(f317(f317(f224(x83601),x83602),x83604))+~P1(f317(f317(f224(f907(x83601,a897)),f317(f293(x83601,x83603),x83602)),f317(f293(x83601,x83605),x83604)))
% 199.17/199.24 [8587]~P109(x85871)+~P1(f317(f317(f224(f907(x85871,a897)),f294(x85871,x85874,x85872)),f294(x85871,x85875,x85873)))+P1(f317(f317(f224(x85871),x85872),x85873))+~P1(f317(f317(f224(x85871),x85874),x85872))
% 199.17/199.24 [8588]~P109(x85881)+~P1(f317(f317(f225(f907(x85881,a897)),f294(x85881,x85884,x85882)),f294(x85881,x85885,x85883)))+P1(f317(f317(f224(x85881),x85882),x85883))+~P1(f317(f317(f224(x85881),x85884),x85882))
% 199.17/199.24 [8589]~P109(x85891)+~P1(f317(f317(f224(f907(x85891,a897)),f294(x85891,x85893,x85894)),f294(x85891,x85892,x85895)))+P1(f317(f317(f224(x85891),x85892),x85893))+~P1(f317(f317(f224(x85891),x85893),x85894))
% 199.17/199.24 [8590]~P109(x85901)+~P1(f317(f317(f225(f907(x85901,a897)),f294(x85901,x85903,x85904)),f294(x85901,x85902,x85905)))+P1(f317(f317(f224(x85901),x85902),x85903))+~P1(f317(f317(f224(x85901),x85903),x85904))
% 199.17/199.24 [6125]~P15(x61252,x61255,x61253)+E(x61251,f179(f907(x61252,a897)))+~P1(f317(f28(x61252),x61251))+E(f317(x61253,f317(f317(f299(x61252),x61254),x61251)),f317(f317(x61255,x61254),f317(x61253,x61251)))
% 199.17/199.24 [6908]~E(x69081,x69082)+~E(f317(f317(f92(f907(x69083,a897)),x69084),x69085),f179(f907(x69083,a897)))+~P1(f317(f317(f319(x69083),x69082),x69085))+~P1(f317(f317(f319(x69083),x69081),x69084))
% 199.17/199.24 [6988]~P16(x69882,x69885,x69881)+~P1(f317(f28(x69882),x69884))+E(f317(x69881,f317(f317(f299(x69882),x69883),x69884)),f317(f317(f58(x69882,x69882,x69885),x69883),x69884))+P1(f317(f317(f319(x69882),x69883),x69884))
% 199.17/199.24 [7057]~P72(x70572)+~P1(f317(f28(x70571),x70575))+E(f317(f317(f8(x70571,x70572),x70573),f317(f317(f299(x70571),x70574),x70575)),f317(f317(f74(x70572),f317(x70573,x70574)),f317(f317(f8(x70571,x70572),x70573),x70575)))+P1(f317(f317(f319(x70571),x70574),x70575))
% 199.17/199.24 [7059]~P79(x70592)+~P1(f317(f28(x70591),x70595))+E(f317(f317(f11(x70591,x70592),x70593),f317(f317(f299(x70591),x70594),x70595)),f317(f317(f75(x70592),f317(x70593,x70594)),f317(f317(f11(x70591,x70592),x70593),x70595)))+P1(f317(f317(f319(x70591),x70594),x70595))
% 199.17/199.24 [7454]~P118(x74541)+~P1(f317(f28(x74544),x74545))+~P1(f317(f317(f319(x74544),x74543),x74545))+P1(f317(f317(f276(x74541),f317(x74542,x74543)),f317(f317(f11(x74544,x74541),x74542),x74545)))
% 199.17/199.24 [7552]~P16(x75522,x75525,x75521)+~P1(f317(f28(x75522),x75524))+E(f317(x75521,f317(f317(f299(x75522),x75523),x75524)),x75523)+~E(f317(f317(f3(f907(x75522,a897)),x75524),f317(f317(f299(x75522),x75523),f179(f907(x75522,a897)))),f179(f907(x75522,a897)))
% 199.17/199.24 [7883]~P118(x78831)+~P1(f317(f317(f276(x78831),x78832),x78834))+~P1(f317(f317(f224(a901),x78833),x78835))+P1(f317(f317(f276(x78831),f317(f317(f234(x78831),x78832),x78833)),f317(f317(f234(x78831),x78834),x78835)))
% 199.17/199.24 [7913]~P58(x79131)+E(f317(f317(f30(x79131),f317(f317(f75(x79131),x79132),x79133)),f317(f317(f75(x79131),x79134),x79135)),f317(f317(f75(x79131),f317(f317(f30(x79131),x79132),x79134)),f317(f317(f30(x79131),x79133),x79135)))+~P1(f317(f317(f276(x79131),x79135),x79133))+~P1(f317(f317(f276(x79131),x79134),x79132))
% 199.17/199.24 [7917]~P67(x79171)+~P1(f317(f317(f224(x79171),x79173),x79175))+~P1(f317(f317(f224(x79171),x79172),x79174))+P1(f317(f317(f224(x79171),f317(f317(f91(x79171),x79172),x79173)),f317(f317(f91(x79171),x79174),x79175)))
% 199.17/199.24 [7918]~P108(x79181)+~P1(f317(f317(f224(x79181),x79183),x79185))+~P1(f317(f317(f224(x79181),x79182),x79184))+P1(f317(f317(f224(x79181),f317(f317(f228(x79181),x79182),x79183)),f317(f317(f228(x79181),x79184),x79185)))
% 199.17/199.24 [7919]~P108(x79191)+~P1(f317(f317(f224(x79191),x79193),x79195))+~P1(f317(f317(f224(x79191),x79192),x79194))+P1(f317(f317(f224(x79191),f317(f317(f178(x79191),x79192),x79193)),f317(f317(f178(x79191),x79194),x79195)))
% 199.17/199.24 [7920]~P103(x79201)+~P1(f317(f317(f224(x79201),x79203),x79205))+~P1(f317(f317(f224(x79201),x79202),x79204))+P1(f317(f317(f224(x79201),f317(f317(f92(x79201),x79202),x79203)),f317(f317(f92(x79201),x79204),x79205)))
% 199.17/199.24 [7921]~P87(x79211)+~P1(f317(f317(f224(x79211),x79213),x79215))+~P1(f317(f317(f224(x79211),x79212),x79214))+P1(f317(f317(f224(x79211),f317(f317(f74(x79211),x79212),x79213)),f317(f317(f74(x79211),x79214),x79215)))
% 199.17/199.24 [7922]~P91(x79221)+~P1(f317(f317(f224(x79221),x79223),x79225))+~P1(f317(f317(f225(x79221),x79222),x79224))+P1(f317(f317(f225(x79221),f317(f317(f74(x79221),x79222),x79223)),f317(f317(f74(x79221),x79224),x79225)))
% 199.17/199.24 [7923]~P91(x79231)+~P1(f317(f317(f224(x79231),x79232),x79234))+~P1(f317(f317(f225(x79231),x79233),x79235))+P1(f317(f317(f225(x79231),f317(f317(f74(x79231),x79232),x79233)),f317(f317(f74(x79231),x79234),x79235)))
% 199.17/199.24 [7924]~P91(x79241)+~P1(f317(f317(f225(x79241),x79243),x79245))+~P1(f317(f317(f225(x79241),x79242),x79244))+P1(f317(f317(f225(x79241),f317(f317(f74(x79241),x79242),x79243)),f317(f317(f74(x79241),x79244),x79245)))
% 199.17/199.24 [7925]~P118(x79251)+~P1(f317(f317(f276(x79251),x79253),x79255))+~P1(f317(f317(f276(x79251),x79252),x79254))+P1(f317(f317(f276(x79251),f317(f317(f75(x79251),x79252),x79253)),f317(f317(f75(x79251),x79254),x79255)))
% 199.17/199.24 [8055]~P143(x80555)+E(x80551,x80552)+E(x80553,x80554)+~E(f317(f317(f74(x80555),f317(f317(f75(x80555),x80553),x80551)),f317(f317(f75(x80555),x80554),x80552)),f317(f317(f74(x80555),f317(f317(f75(x80555),x80553),x80552)),f317(f317(f75(x80555),x80554),x80551)))
% 199.17/199.24 [8262]~P108(x82624)+~P1(f317(f127(x82621),x82623))+P1(f317(f317(f319(x82621),x82622),f317(f162(x82621),x82623)))+P1(f317(f127(x82621),f317(f317(f138(x82621,x82624,x82625),x82622),x82623)))
% 199.17/199.24 [8406]~P71(x84061)+E(f317(f317(f3(x84061),f317(f317(f8(a901,x84061),x84062),f317(f293(a901,x84063),x84064))),f317(f317(f8(a901,x84061),x84062),f317(f293(a901,x84063),x84065))),f317(f317(f8(a901,x84061),x84062),f317(f293(a901,x84065),x84064)))+~P1(f317(f317(f224(a901),x84065),x84064))+~P1(f317(f317(f224(a901),x84063),x84065))
% 199.17/199.24 [8407]~P72(x84071)+E(f317(f317(f74(x84071),f317(f317(f8(a901,x84071),x84072),f317(f293(a901,x84073),x84074))),f317(f317(f8(a901,x84071),x84072),f317(f293(a901,x84074),x84075))),f317(f317(f8(a901,x84071),x84072),f317(f293(a901,x84073),x84075)))+~P1(f317(f317(f224(a901),x84074),x84075))+~P1(f317(f317(f224(a901),x84073),x84074))
% 199.17/199.24 [8732]~P62(x87322)+E(x87321,f2(x87322))+E(x87323,f2(x87322))+E(f317(f317(f280(x87322),f317(f317(f3(x87322),f317(f317(f75(x87322),x87324),x87321)),f317(f317(f75(x87322),x87325),x87323))),f317(f317(f75(x87322),x87323),x87321)),f317(f317(f3(x87322),f317(f317(f280(x87322),x87324),x87323)),f317(f317(f280(x87322),x87325),x87321)))
% 199.17/199.24 [8733]~P62(x87332)+E(x87331,f2(x87332))+E(x87333,f2(x87332))+E(f317(f317(f280(x87332),f317(f317(f74(x87332),f317(f317(f75(x87332),x87334),x87331)),f317(f317(f75(x87332),x87335),x87333))),f317(f317(f75(x87332),x87333),x87331)),f317(f317(f74(x87332),f317(f317(f280(x87332),x87334),x87333)),f317(f317(f280(x87332),x87335),x87331)))
% 199.17/199.24 [8742]~E(x87422,f317(x87423,x87421))+E(x87421,f508(x87422,x87423,x87424,x87425))+~P22(x87425,x87424,x87423,f232(f907(x87425,a897)))+~P1(f317(f317(f319(x87424),x87422),f317(f300(x87425,x87424,x87423),f232(f907(x87425,a897)))))
% 199.17/199.24 [8954]~P119(x89541)+~P1(f317(f317(f225(x89541),f317(f70(x89541),x89542)),x89544))+P1(f317(f317(f225(x89541),f317(f317(f75(x89541),f317(f70(x89541),x89542)),f317(f70(x89541),x89543))),f317(f317(f75(x89541),x89544),x89545)))+~P1(f317(f317(f225(x89541),f317(f70(x89541),x89543)),x89545))
% 199.17/199.24 [9066]~P22(x90661,x90663,x90665,x90662)+~P1(f317(f28(x90663),x90664))+P1(f317(f317(f224(a901),f317(f29(x90661),x90662)),f317(f29(x90663),x90664)))+~P1(f317(f317(f224(f907(x90663,a897)),f317(f300(x90661,x90663,x90665),x90662)),x90664))
% 199.17/199.24 [9133]~P72(x91332)+~P22(x91331,x91331,x91334,x91335)+~P1(f317(f28(x91331),x91335))+E(f317(f317(f8(x91331,x91332),f317(f67(x91331,x91332,x91331,x91333),x91334)),x91335),f317(f317(f8(x91331,x91332),x91333),f317(f300(x91331,x91331,x91334),x91335)))
% 199.17/199.24 [9134]~P79(x91342)+~P22(x91341,x91341,x91344,x91345)+~P1(f317(f28(x91341),x91345))+E(f317(f317(f11(x91341,x91342),f317(f67(x91341,x91342,x91341,x91343),x91344)),x91345),f317(f317(f11(x91341,x91342),x91343),f317(f300(x91341,x91341,x91344),x91345)))
% 199.17/199.24 [9241]~P34(x92411,x92412)+~P1(f317(f317(f319(x92411),x92413),x92414))+~P1(f317(f317(f319(x92411),x92415),x92414))+~P1(f317(f317(f319(f906(x92411,x92411)),f317(f317(f242(x92411,x92411),x92415),f586(x92412,x92411,x92414))),x92412))
% 199.17/199.24 [9286]~P22(x92862,x92863,x92865,x92861)+E(x92861,f179(f907(x92862,a897)))+E(f317(f300(x92863,x92862,f511(x92864,x92863,x92862,x92861)),x92864),x92861)+~P1(f317(f317(f224(f907(x92863,a897)),f317(f300(x92862,x92863,x92865),x92861)),x92864))
% 199.17/199.24 [9802]~P108(x98025)+~P3(x98025)+P1(f317(f317(f319(x98021),f477(x98022,x98023,x98021,x98024,x98025)),x98023))+~P1(f317(f317(f225(x98025),x98024),f317(f317(f35(x98021,x98025),x98023),x98022)))
% 199.17/199.24 [9807]~P108(x98071)+~P3(x98071)+P1(f317(f317(f225(x98071),x98072),f317(x98073,f477(x98073,x98074,x98075,x98072,x98071))))+~P1(f317(f317(f225(x98071),x98072),f317(f317(f35(x98075,x98071),x98074),x98073)))
% 199.17/199.24 [9891]~P76(x98911)+~P1(f317(f60(x98911,x98911,f75(x98911),x98912,x98913),x98915))+P1(f317(f317(f319(x98911),x98912),x98913))+P1(f317(f60(x98911,x98911,f75(x98911),x98914,f317(f317(f299(x98911),x98912),x98913)),f317(f317(f75(x98911),x98914),x98915)))
% 199.17/199.24 [10090]~P72(x100902)+~P1(f317(f28(x100901),x100905))+E(f317(f317(f8(x100901,x100902),f317(f317(f9(x100901,x100902,x100902),f317(f317(f20(x100901,x100902,f907(x100902,x100902)),f317(f317(f10(a897,f907(x100902,f907(x100902,x100902)),x100901),f86(x100902)),f317(a314,x100903))),x100904)),f2(x100902))),x100905),f2(x100902))+P1(f317(f317(f319(x100901),x100903),x100905))
% 199.17/199.24 [10091]~P79(x100912)+~P1(f317(f28(x100911),x100915))+E(f317(f317(f11(x100911,x100912),f317(f317(f9(x100911,x100912,x100912),f317(f317(f20(x100911,x100912,f907(x100912,x100912)),f317(f317(f10(a897,f907(x100912,f907(x100912,x100912)),x100911),f86(x100912)),f317(a314,x100913))),x100914)),f72(x100912))),x100915),f72(x100912))+P1(f317(f317(f319(x100911),x100913),x100915))
% 199.17/199.24 [10092]~P72(x100922)+~P1(f317(f28(x100921),x100925))+E(f317(f317(f8(x100921,x100922),f317(f317(f9(x100921,x100922,x100922),f317(f317(f20(x100921,x100922,f907(x100922,x100922)),f317(f317(f10(a897,f907(x100922,f907(x100922,x100922)),x100921),f86(x100922)),f317(a314,x100923))),x100924)),f2(x100922))),x100925),f317(x100924,x100923))+~P1(f317(f317(f319(x100921),x100923),x100925))
% 199.17/199.24 [10093]~P79(x100932)+~P1(f317(f28(x100931),x100935))+E(f317(f317(f11(x100931,x100932),f317(f317(f9(x100931,x100932,x100932),f317(f317(f20(x100931,x100932,f907(x100932,x100932)),f317(f317(f10(a897,f907(x100932,f907(x100932,x100932)),x100931),f86(x100932)),f317(a314,x100933))),x100934)),f72(x100932))),x100935),f317(x100934,x100933))+~P1(f317(f317(f319(x100931),x100933),x100935))
% 199.17/199.24 [10147]~P72(x101472)+~P1(f317(f28(x101471),x101475))+E(f317(f317(f8(x101471,x101472),f317(f317(f9(x101471,x101472,x101472),f317(f317(f20(x101471,x101472,f907(x101472,x101472)),f317(f317(f10(a897,f907(x101472,f907(x101472,x101472)),x101471),f86(x101472)),f317(f317(f9(x101471,x101471,a897),a314),x101473))),x101474)),f2(x101472))),x101475),f2(x101472))+P1(f317(f317(f319(x101471),x101473),x101475))
% 199.17/199.24 [10148]~P79(x101482)+~P1(f317(f28(x101481),x101485))+E(f317(f317(f11(x101481,x101482),f317(f317(f9(x101481,x101482,x101482),f317(f317(f20(x101481,x101482,f907(x101482,x101482)),f317(f317(f10(a897,f907(x101482,f907(x101482,x101482)),x101481),f86(x101482)),f317(f317(f9(x101481,x101481,a897),a314),x101483))),x101484)),f72(x101482))),x101485),f72(x101482))+P1(f317(f317(f319(x101481),x101483),x101485))
% 199.17/199.24 [10150]~P72(x101502)+~P1(f317(f28(x101501),x101505))+E(f317(f317(f8(x101501,x101502),f317(f317(f9(x101501,x101502,x101502),f317(f317(f20(x101501,x101502,f907(x101502,x101502)),f317(f317(f10(a897,f907(x101502,f907(x101502,x101502)),x101501),f86(x101502)),f317(f317(f9(x101501,x101501,a897),a314),x101503))),x101504)),f2(x101502))),x101505),f317(x101504,x101503))+~P1(f317(f317(f319(x101501),x101503),x101505))
% 199.17/199.24 [10151]~P79(x101512)+~P1(f317(f28(x101511),x101515))+E(f317(f317(f11(x101511,x101512),f317(f317(f9(x101511,x101512,x101512),f317(f317(f20(x101511,x101512,f907(x101512,x101512)),f317(f317(f10(a897,f907(x101512,f907(x101512,x101512)),x101511),f86(x101512)),f317(f317(f9(x101511,x101511,a897),a314),x101513))),x101514)),f72(x101512))),x101515),f317(x101514,x101513))+~P1(f317(f317(f319(x101511),x101513),x101515))
% 199.17/199.24 [7916]~P71(x79162)+~P1(f317(f28(x79161),x79164))+E(f317(f317(f8(x79161,x79162),x79163),f317(f317(f3(f907(x79161,a897)),x79164),f317(f317(f299(x79161),x79165),f179(f907(x79161,a897))))),f317(f317(f8(x79161,x79162),x79163),x79164))+P1(f317(f317(f319(x79161),x79165),x79164))
% 199.17/199.24 [8414]~P110(x84142)+~P1(f317(f28(x84141),x84144))+E(f317(f317(f8(x84141,x84142),x84143),f317(f317(f3(f907(x84141,a897)),x84144),f317(f317(f299(x84141),x84145),f179(f907(x84141,a897))))),f317(f317(f3(x84142),f317(f317(f8(x84141,x84142),x84143),x84144)),f317(x84143,x84145)))+~P1(f317(f317(f319(x84141),x84145),x84144))
% 199.17/199.24 [8415]~P71(x84152)+~P1(f317(f28(x84151),x84154))+E(f317(f317(f8(x84151,x84152),x84153),f317(f317(f3(f907(x84151,a897)),x84154),f317(f317(f299(x84151),x84155),f179(f907(x84151,a897))))),f317(f317(f3(x84152),f317(f317(f8(x84151,x84152),x84153),x84154)),f317(x84153,x84155)))+~P1(f317(f317(f319(x84151),x84155),x84154))
% 199.17/199.24 [8427]~P118(x84271)+~P1(f317(f317(f224(a901),x84273),x84275))+~P1(f317(f317(f276(x84271),f317(f317(f234(x84271),x84272),x84275)),x84274))+P1(f317(f317(f276(x84271),f317(f317(f234(x84271),x84272),x84273)),x84274))
% 199.17/199.24 [8442]~P71(x84421)+~P1(f317(f28(x84422),x84424))+E(f317(f317(f3(x84421),f317(f317(f8(x84422,x84421),x84423),x84424)),f317(f317(f8(x84422,x84421),x84423),x84425)),f317(f317(f8(x84422,x84421),x84423),f317(f317(f3(f907(x84422,a897)),x84424),x84425)))+~P1(f317(f317(f224(f907(x84422,a897)),x84425),x84424))
% 199.17/199.24 [8461]P1(f317(f28(x84611),f317(x84612,x84613)))+~P1(f317(f28(x84614),x84615))+~P1(f317(f317(f319(x84614),x84613),x84615))+~P1(f317(f28(x84611),f317(f317(f35(x84614,f907(x84611,a897)),x84615),x84612)))
% 199.17/199.24 [8907]~P6(x89071,x89075,x89074)+~E(f317(f274(x89071,x89071,x89074),f317(f317(f299(x89071),x89072),f179(f907(x89071,a897)))),f317(f274(x89071,x89071,x89074),f317(f317(f299(x89071),x89073),f179(f907(x89071,a897)))))+~P1(f317(f317(f319(x89071),x89073),x89075))+P1(f317(f317(f319(f906(x89071,x89071)),f317(f317(f242(x89071,x89071),x89072),x89073)),x89074))
% 199.17/199.24 [9196]~P1(f317(x91961,x91965))+P1(f317(x91961,f380(x91961,x91962,x91963,x91964)))+P1(f317(x91961,f370(x91961,x91962,x91963,x91964)))+~P1(f317(f317(f319(x91964),x91965),f317(f317(f91(f907(x91964,a897)),x91963),x91962)))
% 199.17/199.24 [9393]~P1(f317(x93931,x93935))+P1(f317(x93931,f370(x93931,x93932,x93933,x93934)))+P1(f317(f317(f319(x93934),f380(x93931,x93932,x93933,x93934)),x93932))+~P1(f317(f317(f319(x93934),x93935),f317(f317(f91(f907(x93934,a897)),x93933),x93932)))
% 199.17/199.24 [9394]~P1(f317(x93941,x93945))+P1(f317(x93941,f380(x93941,x93942,x93943,x93944)))+P1(f317(f317(f319(x93944),f370(x93941,x93942,x93943,x93944)),x93943))+~P1(f317(f317(f319(x93944),x93945),f317(f317(f91(f907(x93944,a897)),x93943),x93942)))
% 199.17/199.24 [9400]P1(f317(x94001,x94002))+~P1(f317(x94001,f362(x94001,x94003,x94004,x94005)))+~P1(f317(x94001,f349(x94001,x94003,x94004,x94005)))+~P1(f317(f317(f319(x94005),x94002),f317(f317(f91(f907(x94005,a897)),x94004),x94003)))
% 199.17/199.24 [9406]~P35(x94061,x94064)+~P1(f317(f317(f319(f906(x94061,x94061)),f317(f317(f242(x94061,x94061),x94062),x94065)),x94064))+P1(f317(f317(f319(f906(x94061,x94061)),f317(f317(f242(x94061,x94061),x94062),x94063)),x94064))+~P1(f317(f317(f319(f906(x94061,x94061)),f317(f317(f242(x94061,x94061),x94065),x94063)),x94064))
% 199.17/199.24 [9445]E(x94451,x94452)+~P1(f317(f317(f319(f906(x94453,x94453)),f317(f317(f242(x94453,x94453),x94451),x94452)),f297(x94453,x94455)))+P1(f317(f317(f319(x94453),x94451),x94454))+~P1(f317(f317(f224(f907(f906(x94453,x94453),a897)),x94455),f317(f317(f244(x94453,x94453),x94454),f317(f18(f907(x94453,a897),x94453),x94454))))
% 199.17/199.24 [9463]P1(f317(x94631,x94632))+~P1(f317(x94631,f349(x94631,x94634,x94635,x94633)))+P1(f317(f317(f319(x94633),f362(x94631,x94634,x94635,x94633)),x94634))+~P1(f317(f317(f319(x94633),x94632),f317(f317(f91(f907(x94633,a897)),x94635),x94634)))
% 199.17/199.24 [9464]P1(f317(x94641,x94642))+~P1(f317(x94641,f362(x94641,x94644,x94645,x94643)))+P1(f317(f317(f319(x94643),f349(x94641,x94644,x94645,x94643)),x94645))+~P1(f317(f317(f319(x94643),x94642),f317(f317(f91(f907(x94643,a897)),x94645),x94644)))
% 199.17/199.24 [9530]P1(f317(x95301,x95302))+P1(f317(f317(f319(x95303),f362(x95301,x95304,x95305,x95303)),x95304))+P1(f317(f317(f319(x95303),f349(x95301,x95304,x95305,x95303)),x95305))+~P1(f317(f317(f319(x95303),x95302),f317(f317(f91(f907(x95303,a897)),x95305),x95304)))
% 199.17/199.24 [9531]~P1(f317(x95312,x95315))+P1(f317(f317(f319(x95311),f380(x95312,x95313,x95314,x95311)),x95313))+P1(f317(f317(f319(x95311),f370(x95312,x95313,x95314,x95311)),x95314))+~P1(f317(f317(f319(x95311),x95315),f317(f317(f91(f907(x95311,a897)),x95314),x95313)))
% 199.17/199.24 [9699]~P6(x96991,x96995,x96994)+~P1(f317(f317(f319(x96991),x96993),x96995))+P1(f317(f317(f319(f906(x96991,x96991)),f317(f317(f242(x96991,x96991),x96992),x96993)),x96994))+~P1(f317(f317(f224(f907(x96991,a897)),f317(f274(x96991,x96991,x96994),f317(f317(f299(x96991),x96993),f179(f907(x96991,a897))))),f317(f274(x96991,x96991,x96994),f317(f317(f299(x96991),x96992),f179(f907(x96991,a897))))))
% 199.17/199.24 [9837]~P108(x98375)+~P3(x98375)+P1(f317(f317(f319(x98371),f478(x98372,x98373,x98374,x98371,x98375)),x98374))+~P1(f317(f317(f225(x98375),f317(f317(f34(x98371,x98375),x98374),x98373)),x98372))
% 199.17/199.24 [9870]~P87(x98705)+~P85(x98705)+P1(f317(f317(f319(x98701),f677(x98702,x98703,x98704,x98701,x98705)),f317(f162(x98701),x98704)))+P1(f317(f317(f224(x98705),f317(f155(x98705),f317(f317(f144(x98701,x98705),x98703),x98704))),f317(f155(x98705),f317(f317(f144(x98701,x98705),x98702),x98704))))
% 199.17/199.24 [9993]~P108(x99931)+~P3(x99931)+P1(f317(f317(f225(x99931),f317(x99932,f478(x99933,x99932,x99934,x99935,x99931))),x99933))+~P1(f317(f317(f225(x99931),f317(f317(f34(x99935,x99931),x99934),x99932)),x99933))
% 199.17/199.24 [10106]~P87(x101061)+~P85(x101061)+~P1(f317(f317(f224(x101061),f317(x101063,f677(x101065,x101063,x101064,x101062,x101061))),f317(x101065,f677(x101065,x101063,x101064,x101062,x101061))))+P1(f317(f317(f224(x101061),f317(f155(x101061),f317(f317(f144(x101062,x101061),x101063),x101064))),f317(f155(x101061),f317(f317(f144(x101062,x101061),x101065),x101064))))
% 199.17/199.24 [8755]~P72(x87551)+~P1(f317(f28(x87554),x87555))+~P1(f317(f317(f319(x87554),x87553),x87555))+E(f317(f317(f74(x87551),f317(x87552,x87553)),f317(f317(f8(x87554,x87551),x87552),f317(f317(f3(f907(x87554,a897)),x87555),f317(f317(f299(x87554),x87553),f179(f907(x87554,a897)))))),f317(f317(f8(x87554,x87551),x87552),x87555))
% 199.17/199.24 [8756]~P79(x87561)+~P1(f317(f28(x87564),x87565))+~P1(f317(f317(f319(x87564),x87563),x87565))+E(f317(f317(f75(x87561),f317(x87562,x87563)),f317(f317(f11(x87564,x87561),x87562),f317(f317(f3(f907(x87564,a897)),x87565),f317(f317(f299(x87564),x87563),f179(f907(x87564,a897)))))),f317(f317(f11(x87564,x87561),x87562),x87565))
% 199.17/199.24 [8809]~P16(x88091,x88094,x88095)+~P1(f317(f28(x88091),x88092))+E(f317(f317(f3(f907(x88091,a897)),x88092),f317(f317(f299(x88091),x88093),f179(f907(x88091,a897)))),f179(f907(x88091,a897)))+E(f317(f317(x88094,x88093),f317(x88095,f317(f317(f3(f907(x88091,a897)),x88092),f317(f317(f299(x88091),x88093),f179(f907(x88091,a897)))))),f317(x88095,f317(f317(f299(x88091),x88093),x88092)))
% 199.17/199.24 [9175]~P72(x91751)+~P1(f317(f28(x91752),x91755))+~P1(f317(f28(x91752),x91754))+E(f317(f317(f74(x91751),f317(f317(f8(x91752,x91751),x91753),f317(f317(f91(f907(x91752,a897)),x91754),x91755))),f317(f317(f8(x91752,x91751),x91753),f317(f317(f92(f907(x91752,a897)),x91754),x91755))),f317(f317(f74(x91751),f317(f317(f8(x91752,x91751),x91753),x91754)),f317(f317(f8(x91752,x91751),x91753),x91755)))
% 199.17/199.24 [9177]~P79(x91771)+~P1(f317(f28(x91772),x91775))+~P1(f317(f28(x91772),x91774))+E(f317(f317(f75(x91771),f317(f317(f11(x91772,x91771),x91773),f317(f317(f91(f907(x91772,a897)),x91774),x91775))),f317(f317(f11(x91772,x91771),x91773),f317(f317(f92(f907(x91772,a897)),x91774),x91775))),f317(f317(f75(x91771),f317(f317(f11(x91772,x91771),x91773),x91774)),f317(f317(f11(x91772,x91771),x91773),x91775)))
% 199.17/199.24 [9325]~P71(x93251)+~P1(f317(f28(x93252),x93255))+~P1(f317(f28(x93252),x93254))+E(f317(f317(f3(x93251),f317(f317(f74(x93251),f317(f317(f8(x93252,x93251),x93253),x93254)),f317(f317(f8(x93252,x93251),x93253),x93255))),f317(f317(f8(x93252,x93251),x93253),f317(f317(f92(f907(x93252,a897)),x93254),x93255))),f317(f317(f8(x93252,x93251),x93253),f317(f317(f91(f907(x93252,a897)),x93254),x93255)))
% 199.17/199.24 [9545]~P22(x95451,x95452,x95453,x95455)+~P22(x95451,x95452,x95453,x95454)+P22(x95451,x95452,x95453,f317(f317(f91(f907(x95451,a897)),x95454),x95455))+~E(f317(f317(f92(f907(x95452,a897)),f317(f300(x95451,x95452,x95453),f317(f317(f3(f907(x95451,a897)),x95454),x95455))),f317(f300(x95451,x95452,x95453),f317(f317(f3(f907(x95451,a897)),x95455),x95454))),f179(f907(x95452,a897)))
% 199.17/199.24 [9674]E(x96741,f2(a1))+~P1(f317(f317(f225(a1),f2(a1)),x96743))+~P1(f317(f44(x96742,x96741),f317(f317(f242(a1,a1),x96744),x96745)))+P1(f317(f44(x96742,f317(f317(f75(a1),x96741),x96743)),f317(f317(f242(a1,a1),f317(f317(f30(a1),x96744),x96743)),f317(f317(f74(a1),f317(f317(f75(a1),x96741),f40(a1,x96744,x96743))),x96745))))
% 199.17/199.24 [9682]~P1(f317(f317(f225(a901),f2(a901)),x96823))+~P1(f317(f317(f225(a901),f2(a901)),x96822))+~P1(f317(f43(x96821,x96822),f317(f317(f242(a901,a901),x96824),x96825)))+P1(f317(f43(x96821,f317(f317(f75(a901),x96822),x96823)),f317(f317(f242(a901,a901),f317(f317(f30(a901),x96824),x96823)),f317(f317(f74(a901),f317(f317(f75(a901),x96822),f40(a901,x96824,x96823))),x96825))))
% 199.17/199.24 [9736]~P79(x97361)+~P1(f317(f28(x97362),x97365))+~P1(f317(f28(x97362),x97364))+E(f317(f317(f75(x97361),f317(f317(f317(f59(x97361,x97362,f75(x97361)),x97363),f72(x97361)),f317(f317(f91(f907(x97362,a897)),x97364),x97365))),f317(f317(f317(f59(x97361,x97362,f75(x97361)),x97363),f72(x97361)),f317(f317(f92(f907(x97362,a897)),x97364),x97365))),f317(f317(f75(x97361),f317(f317(f317(f59(x97361,x97362,f75(x97361)),x97363),f72(x97361)),x97364)),f317(f317(f317(f59(x97361,x97362,f75(x97361)),x97363),f72(x97361)),x97365)))
% 199.17/199.24 [9738]~E(f317(f317(f165(x97381),x97385),x97382),f317(f317(f165(x97381),x97385),x97383))+P1(f317(f317(f319(f906(f902(x97381),f902(x97381))),f317(f317(f242(f902(x97381),f902(x97381)),x97382),x97383)),f137(x97381,x97384)))+~P1(f317(f317(f225(a901),x97385),f317(f317(f228(a901),f317(f180(f902(x97381)),x97382)),f317(f180(f902(x97381)),x97383))))+~P1(f317(f317(f319(f906(x97381,x97381)),f317(f317(f242(x97381,x97381),f317(f317(f154(x97381),x97382),x97385)),f317(f317(f154(x97381),x97383),x97385))),x97384))
% 199.17/199.24 [9859]~P87(x98595)+~P146(x98595)+P1(f317(f317(f319(x98591),f378(x98592,x98593,x98594,x98591,x98595)),x98594))+P1(f317(f317(f224(x98595),f317(f317(f8(x98591,x98595),x98593),x98594)),f317(f317(f75(x98595),f317(f90(x98595),f317(f29(x98591),x98594))),x98592)))
% 199.17/199.24 [10038]~P87(x100381)+~P146(x100381)+~P1(f317(f317(f224(x100381),f317(x100383,f378(x100385,x100383,x100384,x100382,x100381))),x100385))+P1(f317(f317(f224(x100381),f317(f317(f8(x100382,x100381),x100383),x100384)),f317(f317(f75(x100381),f317(f90(x100381),f317(f29(x100382),x100384))),x100385)))
% 199.17/199.24 [8779]E(f317(f317(f124(x87791),x87792),x87793),f317(f317(f124(x87791),x87794),x87795))+~E(f317(f317(f165(x87791),f317(f180(f902(x87791)),x87792)),x87794),x87792)+~E(f317(f317(f124(x87791),f317(f317(f128(x87791),f317(f180(f902(x87791)),x87792)),x87794)),x87795),x87793)+P1(f317(f317(f224(a901),f317(f180(f902(x87791)),x87794)),f317(f180(f902(x87791)),x87792)))
% 199.17/199.24 [8906]E(f317(f317(f124(x89061),x89062),x89063),f317(f317(f124(x89061),x89064),x89065))+~E(f317(f317(f165(x89061),f317(f180(f902(x89061)),x89062)),x89064),x89062)+~E(x89063,f317(f317(f124(x89061),f317(f317(f128(x89061),f317(f180(f902(x89061)),x89062)),x89064)),x89065))+~P1(f317(f317(f224(a901),f317(f180(f902(x89061)),x89062)),f317(f180(f902(x89061)),x89064)))
% 199.17/199.24 [10169]~P1(f317(x101695,x101694))+~P1(f317(f28(x101692),f317(f252(x101692),x101695)))+P1(f317(f28(x101691),f317(f252(x101691),f317(f317(f9(x101691,x101692,a897),x101693),x101694))))+~P1(f317(f28(x101691),f317(f252(x101691),f317(f317(f10(f907(x101692,a897),a897,x101691),f80(x101692)),f317(f317(f10(f907(x101692,a897),f907(x101692,a897),x101691),f317(f20(x101692,a897,a897),f317(f317(f10(a897,f907(a897,a897),x101692),a315),x101695))),x101693)))))
% 199.17/199.24 [10246]~P1(f317(f28(x102462),x102465))+~P1(f317(f317(f319(x102462),x102464),x102465))+P1(f317(f28(x102461),f317(f252(x102461),f317(f317(f9(x102461,x102462,a897),x102463),x102464))))+~P1(f317(f28(x102461),f317(f252(x102461),f317(f317(f10(f907(x102462,a897),a897,x102461),f80(x102462)),f317(f317(f10(f907(x102462,a897),f907(x102462,a897),x102461),f317(f20(x102462,a897,a897),f317(f317(f10(a897,f907(a897,a897),x102462),a315),f317(f317(f9(x102462,f907(x102462,a897),a897),f319(x102462)),x102465)))),x102463)))))
% 199.17/199.24 [8570]~P17(x85705,x85701,x85706,x85702)+E(f317(f67(x85701,x85701,x85701,f317(x85702,x85703)),f317(x85702,x85704)),f317(f67(x85701,x85701,x85701,f317(x85702,x85704)),f317(x85702,x85703)))+~P1(f317(f28(x85705),x85704))+~P1(f317(f28(x85705),x85703))
% 199.17/199.24 [7974]~P22(x79741,x79742,x79744,x79743)+~E(f317(x79744,x79746),x79745)+E(f317(f71(x79741,x79742,x79743,x79744),x79745),x79746)+~P1(f317(f317(f319(x79741),x79746),x79743))
% 199.17/199.24 [7975]~P22(x79751,x79752,x79754,x79753)+~E(f317(x79754,x79756),x79755)+E(f317(f85(x79751,x79752,x79753,x79754),x79755),x79756)+~P1(f317(f317(f319(x79751),x79756),x79753))
% 199.17/199.24 [8159]~P18(x81596,x81591,x81594,x81592)+E(f317(f67(x81591,x81591,x81591,f317(x81592,x81593)),f317(x81594,x81595)),f317(x81592,x81593))+~P1(f317(f28(x81596),x81593))+~P1(f317(f317(f319(x81596),x81595),x81593))
% 199.17/199.24 [9277]E(x92771,x92772)+~E(f317(f85(x92773,x92774,x92775,x92776),x92771),f317(f85(x92773,x92774,x92775,x92776),x92772))+~P1(f317(f317(f319(x92774),x92772),f317(f300(x92773,x92774,x92776),x92775)))+~P1(f317(f317(f319(x92774),x92771),f317(f300(x92773,x92774,x92776),x92775)))
% 199.17/199.24 [9377]~P17(x93773,x93771,x93776,x93772)+E(f317(f67(x93771,x93771,x93771,f317(x93772,f317(f317(f3(f907(x93773,a897)),x93774),f317(f317(f299(x93773),x93775),f179(f907(x93773,a897)))))),f317(x93776,x93775)),f317(x93772,x93774))+~P1(f317(f28(x93773),x93774))+~P1(f317(f317(f319(x93773),x93775),x93774))
% 199.17/199.24 [7065]~P59(x70651)+~E(f40(x70651,x70653,x70654),f40(x70651,x70656,x70654))+~E(f40(x70651,x70652,x70654),f40(x70651,x70655,x70654))+E(f40(x70651,f317(f317(f3(x70651),x70652),x70653),x70654),f40(x70651,f317(f317(f3(x70651),x70655),x70656),x70654))
% 199.17/199.24 [7066]~P58(x70661)+~E(f40(x70661,x70663,x70664),f40(x70661,x70666,x70664))+~E(f40(x70661,x70662,x70664),f40(x70661,x70665,x70664))+E(f40(x70661,f317(f317(f74(x70661),x70662),x70663),x70664),f40(x70661,f317(f317(f74(x70661),x70665),x70666),x70664))
% 199.17/199.24 [7067]~P58(x70671)+~E(f40(x70671,x70673,x70674),f40(x70671,x70676,x70674))+~E(f40(x70671,x70672,x70674),f40(x70671,x70675,x70674))+E(f40(x70671,f317(f317(f75(x70671),x70672),x70673),x70674),f40(x70671,f317(f317(f75(x70671),x70675),x70676),x70674))
% 199.17/199.24 [7865]~P14(x78651,x78652,x78653)+~P1(f317(f28(x78651),x78656))+E(f317(f317(f58(x78651,x78652,x78653),x78654),f317(f317(f299(x78651),x78655),x78656)),f317(f317(f58(x78651,x78652,x78653),f317(f317(x78653,x78655),x78654)),x78656))+P1(f317(f317(f319(x78651),x78655),x78656))
% 199.17/199.24 [7932]~P3(x79321)+P1(f317(f317(f224(x79321),x79322),f317(x79323,x79324)))+~P1(f317(f317(f319(x79325),x79324),x79326))+~P1(f317(f317(f224(x79321),x79322),f317(f317(f34(x79325,x79321),x79326),x79323)))
% 199.17/199.24 [8080]~P14(x80801,x80802,x80803)+~P1(f317(f28(x80801),x80806))+E(f317(f317(f58(x80801,x80802,x80803),x80804),f317(f317(f299(x80801),x80805),x80806)),f317(f317(x80803,x80805),f317(f317(f58(x80801,x80802,x80803),x80804),x80806)))+P1(f317(f317(f319(x80801),x80805),x80806))
% 199.17/199.24 [8179]~P108(x81793)+~P1(f317(x81792,x81795))+~P11(x81793,f317(f317(f144(x81791,x81793),x81794),x81796))+E(f317(f126(x81791,x81792),f317(f317(f138(x81791,x81793,x81794),x81795),x81796)),f317(f317(f138(x81791,x81793,x81794),x81795),f317(f126(x81791,x81792),x81796)))
% 199.17/199.24 [8203]E(x82031,x82032)+E(x82033,f2(a1))+~P1(f317(f44(x82034,x82033),f317(f317(f242(a1,a1),x82035),x82032)))+~P1(f317(f44(x82034,x82033),f317(f317(f242(a1,a1),x82036),x82031)))
% 199.17/199.24 [8204]E(x82041,x82042)+E(x82043,f2(a1))+~P1(f317(f44(x82044,x82043),f317(f317(f242(a1,a1),x82042),x82045)))+~P1(f317(f44(x82044,x82043),f317(f317(f242(a1,a1),x82041),x82046)))
% 199.17/199.24 [8228]~P17(x82282,x82285,x82286,x82281)+~P1(f317(f28(x82282),x82284))+E(f317(x82281,f317(f317(f299(x82282),x82283),x82284)),f317(f67(x82285,x82285,x82285,f317(x82281,x82284)),f317(x82286,x82283)))+P1(f317(f317(f319(x82282),x82283),x82284))
% 199.17/199.24 [8445]~P18(x84455,x84451,x84456,x84452)+E(f317(f67(x84451,x84451,x84451,f317(x84452,x84453)),f317(x84452,x84454)),f317(x84452,x84453))+~P1(f317(f28(x84455),x84453))+~P1(f317(f317(f224(f907(x84455,a897)),x84454),x84453))
% 199.17/199.24 [9590]~P22(x95901,x95902,x95904,x95903)+~P1(f317(f317(f319(x95902),x95905),f317(f300(x95901,x95902,x95904),x95903)))+P1(f317(f317(f319(x95901),f317(f71(x95901,x95902,x95903,x95904),x95905)),x95906))+~P1(f317(f317(f224(f907(x95901,a897)),x95903),x95906))
% 199.17/199.24 [9995]~P72(x99952)+~E(f579(x99951,x99953,x99955,x99956,x99954,x99952),f580(x99951,x99953,x99955,x99956,x99954,x99952))+~P1(f317(f28(x99954),x99956))+E(f317(f317(f8(x99951,x99952),x99953),f317(f300(x99954,x99951,x99955),x99956)),f317(f317(f8(x99954,x99952),f317(f67(x99951,x99952,x99954,x99953),x99955)),x99956))
% 199.17/199.24 [10022]~P72(x100226)+E(f317(x100221,f579(x100222,x100223,x100221,x100224,x100225,x100226)),f317(x100221,f580(x100222,x100223,x100221,x100224,x100225,x100226)))+E(f317(f317(f8(x100222,x100226),x100223),f317(f300(x100225,x100222,x100221),x100224)),f317(f317(f8(x100225,x100226),f317(f67(x100222,x100226,x100225,x100223),x100221)),x100224))+~P1(f317(f28(x100225),x100224))
% 199.17/199.24 [10066]~P72(x100662)+~E(f317(x100663,f317(x100665,f580(x100661,x100663,x100665,x100666,x100664,x100662))),f2(x100662))+~P1(f317(f28(x100664),x100666))+E(f317(f317(f8(x100661,x100662),x100663),f317(f300(x100664,x100661,x100665),x100666)),f317(f317(f8(x100664,x100662),f317(f67(x100661,x100662,x100664,x100663),x100665)),x100666))
% 199.17/199.24 [10112]~P72(x101122)+~P1(f317(f28(x101124),x101126))+E(f317(f317(f8(x101121,x101122),x101123),f317(f300(x101124,x101121,x101125),x101126)),f317(f317(f8(x101124,x101122),f317(f67(x101121,x101122,x101124,x101123),x101125)),x101126))+P1(f317(f317(f319(x101124),f580(x101121,x101123,x101125,x101126,x101124,x101122)),x101126))
% 199.17/199.24 [10113]~P72(x101132)+~P1(f317(f28(x101134),x101136))+E(f317(f317(f8(x101131,x101132),x101133),f317(f300(x101134,x101131,x101135),x101136)),f317(f317(f8(x101134,x101132),f317(f67(x101131,x101132,x101134,x101133),x101135)),x101136))+P1(f317(f317(f319(x101134),f579(x101131,x101133,x101135,x101136,x101134,x101132)),x101136))
% 199.17/199.24 [10245]~P79(x102451)+~P1(f317(f28(x102452),x102456))+E(f317(f317(f317(f59(x102451,x102452,f75(x102451)),f317(f317(f20(x102452,f907(x102453,a897),x102451),f317(f317(f9(x102452,x102451,f907(f907(x102453,a897),x102451)),f317(f317(f10(f907(x102453,x102451),f907(x102451,f907(f907(x102453,a897),x102451)),x102452),f59(x102451,x102453,f75(x102451))),x102454)),f72(x102451))),x102455)),f72(x102451)),x102456),f317(f317(f317(f59(x102451,f906(x102452,x102453),f75(x102451)),f317(f247(x102452,x102453,x102451),x102454)),f72(x102451)),f317(f317(f244(x102452,x102453),x102456),x102455)))+P1(f317(f317(f319(x102452),f533(x102454,x102455,x102453,x102456,x102452,x102451)),x102456))
% 199.17/199.24 [10267]~P79(x102671)+~P1(f317(f28(x102672),x102676))+E(f317(f317(f317(f59(x102671,x102672,f75(x102671)),f317(f317(f20(x102672,f907(x102673,a897),x102671),f317(f317(f9(x102672,x102671,f907(f907(x102673,a897),x102671)),f317(f317(f10(f907(x102673,x102671),f907(x102671,f907(f907(x102673,a897),x102671)),x102672),f59(x102671,x102673,f75(x102671))),x102674)),f72(x102671))),x102675)),f72(x102671)),x102676),f317(f317(f317(f59(x102671,f906(x102672,x102673),f75(x102671)),f317(f247(x102672,x102673,x102671),x102674)),f72(x102671)),f317(f317(f244(x102672,x102673),x102676),x102675)))+~P1(f317(f28(x102673),f317(x102675,f533(x102674,x102675,x102673,x102676,x102672,x102671))))
% 199.17/199.24 [8358]~P18(x83582,x83585,x83586,x83581)+~P1(f317(f28(x83582),x83584))+~P1(f317(f28(x83582),x83583))+E(f317(x83581,f317(f317(f91(f907(x83582,a897)),x83583),x83584)),f317(f67(x83585,x83585,x83585,f317(x83581,x83583)),f317(x83581,x83584)))
% 199.17/199.24 [8571]~P3(x85711)+P1(f317(f317(f224(x85711),f317(x85712,x85713)),x85714))+~P1(f317(f317(f319(x85715),x85713),x85716))+~P1(f317(f317(f224(x85711),f317(f317(f35(x85715,x85711),x85716),x85712)),x85714))
% 199.17/199.24 [8996]~P22(x89962,x89961,x89963,x89966)+E(f317(f317(f3(f907(x89961,a897)),f317(f300(x89962,x89961,x89963),x89964)),f317(f300(x89962,x89961,x89963),x89965)),f317(f300(x89962,x89961,x89963),f317(f317(f3(f907(x89962,a897)),x89964),x89965)))+~P1(f317(f317(f224(f907(x89962,a897)),x89965),x89966))+~P1(f317(f317(f224(f907(x89962,a897)),x89964),x89966))
% 199.17/199.24 [8997]~P22(x89972,x89971,x89973,x89976)+E(f317(f317(f92(f907(x89971,a897)),f317(f300(x89972,x89971,x89973),x89974)),f317(f300(x89972,x89971,x89973),x89975)),f317(f300(x89972,x89971,x89973),f317(f317(f92(f907(x89972,a897)),x89974),x89975)))+~P1(f317(f317(f224(f907(x89972,a897)),x89975),x89976))+~P1(f317(f317(f224(f907(x89972,a897)),x89974),x89976))
% 199.17/199.24 [9243]E(x92431,x92432)+~P52(x92433,x92434,x92435)+~P1(f317(f317(f319(f906(x92433,x92434)),f317(f317(f242(x92433,x92434),x92436),x92432)),x92435))+~P1(f317(f317(f319(f906(x92433,x92434)),f317(f317(f242(x92433,x92434),x92436),x92431)),x92435))
% 199.17/199.24 [10063]~P76(x100631)+~E(f317(x100633,f895(x100634,x100636,x100633,x100635,x100632,x100631)),f317(x100636,f895(x100634,x100636,x100633,x100635,x100632,x100631)))+~P1(f317(f28(x100632),x100635))+E(f317(f317(f317(f59(x100631,x100632,f75(x100631)),x100633),x100634),x100635),f317(f317(f317(f59(x100631,x100632,f75(x100631)),x100636),x100634),x100635))
% 199.17/199.24 [10110]~P76(x101101)+~P1(f317(f28(x101102),x101105))+E(f317(f317(f317(f59(x101101,x101102,f75(x101101)),x101103),x101104),x101105),f317(f317(f317(f59(x101101,x101102,f75(x101101)),x101106),x101104),x101105))+P1(f317(f317(f319(x101102),f895(x101104,x101103,x101106,x101105,x101102,x101101)),x101105))
% 199.17/199.24 [8791]~P76(x87911)+~P1(f317(f28(x87912),x87916))+P1(f317(f317(f319(x87912),x87915),x87916))+E(f317(f317(f317(f59(x87911,x87912,f75(x87911)),x87913),x87914),f317(f317(f299(x87912),x87915),x87916)),f317(f317(f75(x87911),f317(x87913,x87915)),f317(f317(f317(f59(x87911,x87912,f75(x87911)),x87913),x87914),x87916)))
% 199.17/199.24 [8844]~P6(x88441,x88446,x88443)+~P9(x88441,f907(x88442,a897),x88443,x88445)+~P1(f317(f317(f319(x88441),x88444),x88446))+E(f317(f317(f35(x88441,f907(x88442,a897)),f317(f274(x88441,x88441,x88443),f317(f317(f299(x88441),x88444),f179(f907(x88441,a897))))),x88445),f317(x88445,x88444))
% 199.17/199.24 [8973]~P14(x89733,x89734,x89731)+~P1(f317(f28(x89733),x89736))+~P1(f317(f317(f319(x89733),x89732),x89736))+E(f317(f317(x89731,x89732),f317(f317(f58(x89733,x89734,x89731),x89735),f317(f317(f3(f907(x89733,a897)),x89736),f317(f317(f299(x89733),x89732),f179(f907(x89733,a897)))))),f317(f317(f58(x89733,x89734,x89731),x89735),x89736))
% 199.17/199.24 [9259]~P17(x92593,x92591,x92596,x92592)+~P1(f317(f28(x92593),x92595))+~P1(f317(f28(x92593),x92594))+E(f317(f67(x92591,x92591,x92591,f317(x92592,f317(f317(f91(f907(x92593,a897)),x92594),x92595))),f317(x92592,f317(f317(f92(f907(x92593,a897)),x92594),x92595))),f317(f67(x92591,x92591,x92591,f317(x92592,x92594)),f317(x92592,x92595)))
% 199.17/199.24 [9614]~E(x96143,f317(f317(f149(x96141,x96142),x96145),x96146))+P1(f317(f317(f319(f906(f902(x96141),f902(x96141))),f317(f317(f242(f902(x96141),f902(x96141)),x96142),x96143)),f147(x96141,x96144)))+~P1(f317(f317(f225(a901),x96145),f317(f180(f902(x96141)),x96142)))+~P1(f317(f317(f319(f906(x96141,x96141)),f317(f317(f242(x96141,x96141),f317(f317(f154(x96141),x96142),x96145)),x96146)),x96144))
% 199.17/199.24 [10126]~P72(x101262)+~P1(f317(f28(x101261),x101266))+P1(f317(f317(f319(x101261),f530(x101264,x101265,x101263,x101266,x101261,x101262)),x101266))+E(f317(f317(f8(x101261,x101262),f317(f317(f20(x101261,f907(x101263,a897),x101262),f317(f317(f10(f907(x101263,x101262),f907(f907(x101263,a897),x101262),x101261),f8(x101263,x101262)),x101264)),x101265)),x101266),f317(f317(f8(f906(x101261,x101263),x101262),f317(f247(x101261,x101263,x101262),x101264)),f317(f317(f244(x101261,x101263),x101266),x101265)))
% 199.17/199.24 [10127]~P79(x101272)+~P1(f317(f28(x101271),x101276))+P1(f317(f317(f319(x101271),f531(x101274,x101275,x101273,x101276,x101271,x101272)),x101276))+E(f317(f317(f11(x101271,x101272),f317(f317(f20(x101271,f907(x101273,a897),x101272),f317(f317(f10(f907(x101273,x101272),f907(f907(x101273,a897),x101272),x101271),f11(x101273,x101272)),x101274)),x101275)),x101276),f317(f317(f11(f906(x101271,x101273),x101272),f317(f247(x101271,x101273,x101272),x101274)),f317(f317(f244(x101271,x101273),x101276),x101275)))
% 199.17/199.24 [10167]~P72(x101672)+~P1(f317(f28(x101671),x101676))+~P1(f317(f28(x101673),f317(x101675,f530(x101674,x101675,x101673,x101676,x101671,x101672))))+E(f317(f317(f8(x101671,x101672),f317(f317(f20(x101671,f907(x101673,a897),x101672),f317(f317(f10(f907(x101673,x101672),f907(f907(x101673,a897),x101672),x101671),f8(x101673,x101672)),x101674)),x101675)),x101676),f317(f317(f8(f906(x101671,x101673),x101672),f317(f247(x101671,x101673,x101672),x101674)),f317(f317(f244(x101671,x101673),x101676),x101675)))
% 199.17/199.24 [10168]~P79(x101682)+~P1(f317(f28(x101681),x101686))+~P1(f317(f28(x101683),f317(x101685,f531(x101684,x101685,x101683,x101686,x101681,x101682))))+E(f317(f317(f11(x101681,x101682),f317(f317(f20(x101681,f907(x101683,a897),x101682),f317(f317(f10(f907(x101683,x101682),f907(f907(x101683,a897),x101682),x101681),f11(x101683,x101682)),x101684)),x101685)),x101686),f317(f317(f11(f906(x101681,x101683),x101682),f317(f247(x101681,x101683,x101682),x101684)),f317(f317(f244(x101681,x101683),x101686),x101685)))
% 199.17/199.24 [10149]~P79(x101492)+~P1(f317(f28(x101491),x101496))+P1(f317(f317(f319(x101491),x101493),x101496))+E(f317(f317(f11(x101491,x101492),f317(f317(f9(x101491,x101492,x101492),f317(f317(f20(x101491,x101492,f907(x101492,x101492)),f317(f317(f10(a897,f907(x101492,f907(x101492,x101492)),x101491),f86(x101492)),f317(f317(f9(x101491,x101491,a897),a314),x101493))),x101494)),x101495)),x101496),f317(f317(f234(x101492),x101495),f317(f29(x101491),x101496)))
% 199.17/199.24 [10152]~P79(x101522)+~P1(f317(f28(x101521),x101526))+~P1(f317(f317(f319(x101521),x101523),x101526))+E(f317(f317(f11(x101521,x101522),f317(f317(f9(x101521,x101522,x101522),f317(f317(f20(x101521,x101522,f907(x101522,x101522)),f317(f317(f10(a897,f907(x101522,f907(x101522,x101522)),x101521),f86(x101522)),f317(f317(f9(x101521,x101521,a897),a314),x101523))),x101524)),x101525)),x101526),f317(f317(f75(x101522),f317(x101524,x101523)),f317(f317(f234(x101522),x101525),f317(f317(f3(a901),f317(f29(x101521),x101526)),f72(a901)))))
% 199.17/199.24 [10233]~P1(f317(f28(x102331),x102335))+~P1(f317(f28(x102332),x102333))+P1(f317(f317(f319(x102332),f532(x102336,x102334,x102333,x102332,x102335,x102331)),x102333))+E(f317(f317(f8(x102331,a901),f317(f317(f10(f907(x102332,a897),a901,x102331),f29(x102332)),f317(f317(f10(f907(x102332,a897),f907(x102332,a897),x102331),f252(x102332)),f317(f317(f10(f907(x102332,a897),f907(x102332,a897),x102331),f317(f20(x102332,a897,a897),f317(f317(f10(a897,f907(a897,a897),x102332),a315),f317(f317(f9(x102332,f907(x102332,a897),a897),f319(x102332)),x102333)))),x102334)))),x102335),f317(f317(f75(a901),x102336),f317(f29(x102332),x102333)))
% 199.17/199.24 [10234]~P1(f317(f28(x102341),x102345))+~P1(f317(f28(x102342),x102343))+P1(f317(f317(f319(x102342),f539(x102346,x102344,x102343,x102342,x102345,x102341)),x102343))+E(f317(f317(f8(x102341,a901),f317(f317(f10(f907(x102342,a897),a901,x102341),f29(x102342)),f317(f317(f10(f907(x102342,a897),f907(x102342,a897),x102341),f252(x102342)),f317(f317(f10(f907(x102342,a897),f907(x102342,a897),x102341),f317(f20(x102342,a897,a897),f317(f317(f10(a897,f907(a897,a897),x102342),a315),f317(f317(f9(x102342,f907(x102342,a897),a897),f319(x102342)),x102343)))),x102344)))),x102345),f317(f317(f8(x102342,a901),x102346),x102343))
% 199.17/199.24 [10284]~P1(f317(f28(x102842),x102843))+~P1(f317(f28(x102841),x102845))+~E(f317(f29(x102841),f317(f252(x102841),f317(f317(f20(x102841,a897,a897),f317(f317(f10(a897,f907(a897,a897),x102841),a315),f317(f317(f9(x102841,f907(x102841,a897),a897),f319(x102841)),x102845))),f317(f317(f9(x102841,x102842,a897),x102844),f532(x102846,x102844,x102843,x102842,x102845,x102841))))),x102846)+E(f317(f317(f8(x102841,a901),f317(f317(f10(f907(x102842,a897),a901,x102841),f29(x102842)),f317(f317(f10(f907(x102842,a897),f907(x102842,a897),x102841),f252(x102842)),f317(f317(f10(f907(x102842,a897),f907(x102842,a897),x102841),f317(f20(x102842,a897,a897),f317(f317(f10(a897,f907(a897,a897),x102842),a315),f317(f317(f9(x102842,f907(x102842,a897),a897),f319(x102842)),x102843)))),x102844)))),x102845),f317(f317(f75(a901),x102846),f317(f29(x102842),x102843)))
% 199.17/199.24 [10303]~P1(f317(f28(x103032),x103033))+~P1(f317(f28(x103031),x103035))+~E(f317(f29(x103031),f317(f252(x103031),f317(f317(f20(x103031,a897,a897),f317(f317(f10(a897,f907(a897,a897),x103031),a315),f317(f317(f9(x103031,f907(x103031,a897),a897),f319(x103031)),x103035))),f317(f317(f9(x103031,x103032,a897),x103034),f539(x103036,x103034,x103033,x103032,x103035,x103031))))),f317(x103036,f539(x103036,x103034,x103033,x103032,x103035,x103031)))+E(f317(f317(f8(x103031,a901),f317(f317(f10(f907(x103032,a897),a901,x103031),f29(x103032)),f317(f317(f10(f907(x103032,a897),f907(x103032,a897),x103031),f252(x103032)),f317(f317(f10(f907(x103032,a897),f907(x103032,a897),x103031),f317(f20(x103032,a897,a897),f317(f317(f10(a897,f907(a897,a897),x103032),a315),f317(f317(f9(x103032,f907(x103032,a897),a897),f319(x103032)),x103033)))),x103034)))),x103035),f317(f317(f8(x103032,a901),x103036),x103033))
% 199.17/199.24 [9929]E(x99291,x99292)+~P14(x99293,x99294,x99295)+~P1(f317(f60(x99293,x99294,x99295,x99296,x99297),x99292))+~P1(f317(f60(x99293,x99294,x99295,x99296,x99297),x99291))
% 199.17/199.24 [9703]P1(f317(x97031,x97032))+~P1(f317(f317(f319(x97037),x97032),f317(x97036,x97034)))+~P1(f317(x97031,f480(x97031,x97036,x97035,x97033,x97037)))+~P1(f317(f317(f319(x97033),x97034),x97035))
% 199.17/199.24 [10141]~P14(x101417,x101416,x101411)+E(f317(f317(x101411,x101412),f635(x101412,x101413,x101414,x101415,x101411,x101416,x101417)),x101413)+~P1(f317(f60(x101417,x101416,x101411,x101415,x101414),x101413))+~P1(f317(f317(f319(x101417),x101412),x101414))
% 199.17/199.24 [10201]~P14(x102011,x102012,x102013)+~P1(f317(f60(x102011,x102012,x102013,x102014,x102015),x102017))+P1(f317(f60(x102011,x102012,x102013,x102014,f317(f317(f3(f907(x102011,a897)),x102015),f317(f317(f299(x102011),x102016),f179(f907(x102011,a897))))),f635(x102016,x102017,x102015,x102014,x102013,x102012,x102011)))+~P1(f317(f317(f319(x102011),x102016),x102015))
% 199.17/199.24 [9332]P23(x93321,x93322,x93323,x93324,x93325)+~P23(x93321,x93322,x93323,x93326,x93327)+~E(f317(f300(x93321,x93322,x93323),x93324),x93325)+~P1(f317(f317(f224(f907(x93321,a897)),x93324),x93326))
% 199.17/199.24 [9581]~P23(x95811,x95812,x95813,x95815,x95817)+~P23(x95811,x95812,x95813,x95814,x95816)+P23(x95811,x95812,x95813,f317(f317(f91(f907(x95811,a897)),x95814),x95815),f317(f317(f91(f907(x95812,a897)),x95816),x95817))+~E(f317(f317(f92(f907(x95812,a897)),x95816),x95817),f179(f907(x95812,a897)))
% 199.17/199.24 [9586]~P76(x95861)+~P22(x95865,x95862,x95866,x95867)+~P1(f317(f28(x95865),x95867))+E(f317(f317(f317(f59(x95861,x95862,f75(x95861)),x95863),x95864),f317(f300(x95865,x95862,x95866),x95867)),f317(f317(f317(f59(x95861,x95865,f75(x95861)),f317(f67(x95862,x95861,x95865,x95863),x95866)),x95864),x95867))
% 199.17/199.24 [9724]~E(f317(f317(f299(x97241),x97245),x97246),f317(f317(f299(x97241),x97242),x97243))+~P1(f317(f60(x97241,x97241,x97244,x97242,x97243),x97247))+P1(f317(f317(f319(x97241),x97242),x97243))+P1(f317(f56(x97241,x97244,f317(f317(f299(x97241),x97245),x97246)),x97247))
% 199.17/199.24 [9820]P1(f317(x98201,x98202))+~P1(f317(f317(f319(x98203),x98202),f317(x98204,x98207)))+~P1(f317(f317(f319(x98206),x98207),x98205))+P1(f317(f317(f319(x98203),f480(x98201,x98204,x98205,x98206,x98203)),f317(f317(f35(x98206,f907(x98203,a897)),x98205),x98204)))
% 199.17/199.24 [9838]~P22(x98382,x98381,x98385,x98384)+~P22(x98381,x98383,x98386,f317(f300(x98382,x98381,x98385),x98384))+E(f317(f317(f67(x98381,x98382,x98383,f71(x98382,x98381,x98384,x98385)),f71(x98381,x98383,f317(f300(x98382,x98381,x98385),x98384),x98386)),x98387),f317(f71(x98382,x98383,x98384,f317(f67(x98381,x98383,x98382,x98386),x98385)),x98387))+~P1(f317(f317(f319(x98383),x98387),f317(f300(x98381,x98383,x98386),f317(f300(x98382,x98381,x98385),x98384))))
% 199.17/199.24 [9839]~P22(x98392,x98391,x98395,x98394)+~P22(x98391,x98393,x98396,f317(f300(x98392,x98391,x98395),x98394))+E(f317(f317(f67(x98391,x98392,x98393,f85(x98392,x98391,x98394,x98395)),f85(x98391,x98393,f317(f300(x98392,x98391,x98395),x98394),x98396)),x98397),f317(f85(x98392,x98393,x98394,f317(f67(x98391,x98393,x98392,x98396),x98395)),x98397))+~P1(f317(f317(f319(x98393),x98397),f317(f300(x98391,x98393,x98396),f317(f300(x98392,x98391,x98395),x98394))))
% 199.17/199.24 [10142]~P14(x101427,x101426,x101421)+E(f317(f317(x101421,x101422),f862(x101423,x101424,x101422,x101425,x101421,x101426,x101427)),x101423)+P1(f317(f317(f319(x101427),x101422),x101424))+~P1(f317(f60(x101427,x101426,x101421,x101425,f317(f317(f299(x101427),x101422),x101424)),x101423))
% 199.17/199.24 [10200]~P14(x102001,x102004,x102005)+P1(f317(f60(x102001,x102004,x102005,x102006,x102003),f862(x102007,x102003,x102002,x102006,x102005,x102004,x102001)))+P1(f317(f317(f319(x102001),x102002),x102003))+~P1(f317(f60(x102001,x102004,x102005,x102006,f317(f317(f299(x102001),x102002),x102003)),x102007))
% 199.17/199.24 [9907]E(x99071,f2(a1))+~P1(f317(f44(x99073,x99071),f317(f317(f242(a1,a1),x99075),x99077)))+~P1(f317(f44(x99072,x99071),f317(f317(f242(a1,a1),x99074),x99076)))+P1(f317(f44(f317(f317(f74(a1),x99072),x99073),x99071),f317(f317(f242(a1,a1),f317(f317(f74(a1),f317(f317(f74(a1),x99074),x99075)),f317(f317(f30(a1),f317(f317(f74(a1),x99076),x99077)),x99071))),f40(a1,f317(f317(f74(a1),x99076),x99077),x99071))))
% 199.17/199.24 [9909]~P1(f317(f317(f225(a901),f2(a901)),x99093))+~P1(f317(f43(x99092,x99093),f317(f317(f242(a901,a901),x99095),x99097)))+~P1(f317(f43(x99091,x99093),f317(f317(f242(a901,a901),x99094),x99096)))+P1(f317(f43(f317(f317(f74(a901),x99091),x99092),x99093),f317(f317(f242(a901,a901),f317(f317(f74(a901),f317(f317(f74(a901),x99094),x99095)),f317(f317(f30(a901),f317(f317(f74(a901),x99096),x99097)),x99093))),f40(a901,f317(f317(f74(a901),x99096),x99097),x99093))))
% 199.17/199.24 [10283]~P72(x102832)+~P1(f317(f28(x102833),x102835))+~P1(f317(f28(x102831),x102837))+E(f317(f317(f8(x102831,x102832),f317(f317(f20(x102831,f907(x102833,a897),x102832),f317(f317(f10(f907(x102833,x102832),f907(f907(x102833,a897),x102832),x102831),f8(x102833,x102832)),x102834)),f317(f317(f10(f907(x102833,a897),f907(x102833,a897),x102831),f252(x102833)),f317(f317(f10(f907(x102833,a897),f907(x102833,a897),x102831),f317(f20(x102833,a897,a897),f317(f317(f10(a897,f907(a897,a897),x102833),a315),f317(f317(f9(x102833,f907(x102833,a897),a897),f319(x102833)),x102835)))),x102836)))),x102837),f317(f317(f8(x102833,x102832),f317(f317(f20(x102833,f907(x102831,a897),x102832),f317(f317(f10(f907(x102831,x102832),f907(f907(x102831,a897),x102832),x102833),f8(x102831,x102832)),f317(f9(x102831,x102833,x102832),x102834))),f317(f317(f10(f907(x102831,a897),f907(x102831,a897),x102833),f252(x102831)),f317(f317(f10(f907(x102831,a897),f907(x102831,a897),x102833),f317(f20(x102831,a897,a897),f317(f317(f10(a897,f907(a897,a897),x102831),a315),f317(f317(f9(x102831,f907(x102831,a897),a897),f319(x102831)),x102837)))),f317(f9(x102831,x102833,a897),x102836))))),x102835))
% 199.17/199.24 [10232]~P19(x102328,x102327,x102326,x102325,x102321)+~E(f317(x102322,f836(x102324,x102322,x102323,x102321,x102325,x102326,x102327)),f317(x102324,f836(x102324,x102322,x102323,x102321,x102325,x102326,x102327)))+E(f317(f317(x102321,x102322),x102323),f317(f317(x102321,x102324),x102323))+~P1(f317(f28(x102327),x102323))
% 199.17/199.24 [9771]~P20(x97717,x97716,x97711,x97718,x97712,x97714)+E(f317(f317(x97711,f317(x97712,x97713)),f317(x97714,x97715)),f317(x97714,x97715))+~P1(f317(f28(x97716),x97715))+~P1(f317(f317(f319(x97716),x97713),x97715))
% 199.17/199.24 [9775]~P10(x97756,x97751,x97752,x97758,x97753,x97754)+~P6(x97756,x97757,x97758)+P9(x97751,x97752,x97753,f317(x97754,x97755))+~P1(f317(f317(f319(x97756),x97755),x97757))
% 199.17/199.24 [10253]~P19(x102538,x102535,x102537,x102536,x102531)+E(f317(f317(x102531,x102532),x102533),f317(f317(x102531,x102534),x102533))+~P1(f317(f28(x102535),x102533))+P1(f317(f317(f319(x102535),f836(x102532,x102534,x102533,x102531,x102536,x102537,x102535)),x102533))
% 199.17/199.24 [10366]~P1(f317(f317(x103661,x103666),x103665))+P1(f317(f317(x103661,f823(x103661,x103664,x103665,x103666,x103663,x103662,x103667,x103668)),f829(x103661,x103664,x103665,x103666,x103663,x103662,x103667,x103668)))+P1(f317(f317(x103661,x103662),x103663))+~P1(f317(f317(f319(f906(f906(x103668,x103667),f906(x103668,x103667))),f317(f317(f242(f906(x103668,x103667),f906(x103668,x103667)),f317(f317(f242(x103668,x103667),x103662),x103663)),f317(f317(f242(x103668,x103667),x103666),x103665))),f297(f906(x103668,x103667),x103664)))
% 199.17/199.24 [10367]~P1(f317(f317(x103671,x103676),x103675))+P1(f317(f317(x103671,f820(x103671,x103674,x103673,x103672,x103675,x103676,x103677,x103678)),f821(x103671,x103674,x103673,x103672,x103675,x103676,x103677,x103678)))+P1(f317(f317(x103671,x103672),x103673))+~P1(f317(f317(f319(f906(f906(x103678,x103677),f906(x103678,x103677))),f317(f317(f242(f906(x103678,x103677),f906(x103678,x103677)),f317(f317(f242(x103678,x103677),x103676),x103675)),f317(f317(f242(x103678,x103677),x103672),x103673))),f297(f906(x103678,x103677),x103674)))
% 199.17/199.24 [10380]~P1(f317(f317(x103801,f824(x103801,x103806,x103805,x103804,x103803,x103802,x103807,x103808)),f828(x103801,x103806,x103805,x103804,x103803,x103802,x103807,x103808)))+P1(f317(f317(x103801,x103802),x103803))+~P1(f317(f317(x103801,x103804),x103805))+~P1(f317(f317(f319(f906(f906(x103808,x103807),f906(x103808,x103807))),f317(f317(f242(f906(x103808,x103807),f906(x103808,x103807)),f317(f317(f242(x103808,x103807),x103802),x103803)),f317(f317(f242(x103808,x103807),x103804),x103805))),f297(f906(x103808,x103807),x103806)))
% 199.17/199.24 [10381]~P1(f317(f317(x103811,f822(x103811,x103816,x103813,x103812,x103815,x103814,x103817,x103818)),f825(x103811,x103816,x103813,x103812,x103815,x103814,x103817,x103818)))+P1(f317(f317(x103811,x103812),x103813))+~P1(f317(f317(x103811,x103814),x103815))+~P1(f317(f317(f319(f906(f906(x103818,x103817),f906(x103818,x103817))),f317(f317(f242(f906(x103818,x103817),f906(x103818,x103817)),f317(f317(f242(x103818,x103817),x103814),x103815)),f317(f317(f242(x103818,x103817),x103812),x103813))),f297(f906(x103818,x103817),x103816)))
% 199.17/199.24 [10397]~P1(f317(f317(x103971,x103976),x103977))+P1(f317(f317(x103971,x103972),x103973))+P1(f317(f317(f319(f906(f906(x103974,x103975),f906(x103974,x103975))),f317(f317(f242(f906(x103974,x103975),f906(x103974,x103975)),f317(f317(f242(x103974,x103975),x103976),x103977)),f317(f317(f242(x103974,x103975),f820(x103971,x103978,x103973,x103972,x103977,x103976,x103975,x103974)),f821(x103971,x103978,x103973,x103972,x103977,x103976,x103975,x103974)))),f297(f906(x103974,x103975),x103978)))+~P1(f317(f317(f319(f906(f906(x103974,x103975),f906(x103974,x103975))),f317(f317(f242(f906(x103974,x103975),f906(x103974,x103975)),f317(f317(f242(x103974,x103975),x103976),x103977)),f317(f317(f242(x103974,x103975),x103972),x103973))),f297(f906(x103974,x103975),x103978)))
% 199.17/199.24 [10399]~P1(f317(f317(x103991,x103998),x103997))+P1(f317(f317(x103991,x103992),x103993))+P1(f317(f317(f319(f906(f906(x103994,x103995),f906(x103994,x103995))),f317(f317(f242(f906(x103994,x103995),f906(x103994,x103995)),f317(f317(f242(x103994,x103995),f823(x103991,x103996,x103997,x103998,x103993,x103992,x103995,x103994)),f829(x103991,x103996,x103997,x103998,x103993,x103992,x103995,x103994))),f317(f317(f242(x103994,x103995),x103998),x103997))),f297(f906(x103994,x103995),x103996)))+~P1(f317(f317(f319(f906(f906(x103994,x103995),f906(x103994,x103995))),f317(f317(f242(f906(x103994,x103995),f906(x103994,x103995)),f317(f317(f242(x103994,x103995),x103992),x103993)),f317(f317(f242(x103994,x103995),x103998),x103997))),f297(f906(x103994,x103995),x103996)))
% 199.17/199.24 [9360]~P17(x93607,x93601,x93608,x93603)+~P1(f317(f28(x93607),x93605))+~P1(f317(f28(x93607),x93604))+E(f317(f67(x93601,x93601,x93602,f317(x93603,x93604)),f317(f67(x93601,x93601,x93602,f317(x93603,x93605)),x93606)),f317(f67(x93601,x93601,x93602,f317(x93603,x93605)),f317(f67(x93601,x93601,x93602,f317(x93603,x93604)),x93606)))
% 199.17/199.24 [9369]~P31(x93691,x93692,x93693,x93694,x93697)+P31(x93691,x93692,x93693,f317(f317(f149(x93691,x93694),x93695),x93696),f317(f317(f149(x93692,x93697),x93695),x93698))+~P1(f317(f317(x93693,x93696),x93698))+~P1(f317(f317(f225(a901),x93695),f317(f180(f902(x93691)),x93694)))
% 199.17/199.24 [9370]~P31(x93701,x93702,x93703,x93704,x93707)+P31(x93701,x93702,x93703,f317(f317(f149(x93701,x93704),x93705),x93706),f317(f317(f149(x93702,x93707),x93705),x93708))+~P1(f317(f317(x93703,x93706),x93708))+~P1(f317(f317(f225(a901),x93705),f317(f180(f902(x93702)),x93707)))
% 199.17/199.24 [9452]~P22(x94522,x94522,x94525,x94526)+~P19(x94523,x94522,x94527,x94528,x94521)+~P1(f317(f28(x94522),x94526))+E(f317(f317(x94521,f317(f67(x94522,x94523,x94522,x94524),x94525)),x94526),f317(f317(x94521,x94524),f317(f300(x94522,x94522,x94525),x94526)))
% 199.17/199.24 [9725]P23(x97251,x97252,x97253,x97254,x97255)+~P23(x97252,x97256,x97257,x97255,x97258)+~P23(x97251,x97256,f317(f67(x97252,x97256,x97251,x97257),x97253),x97254,x97258)+~P1(f317(f317(f224(f907(x97252,a897)),f317(f300(x97251,x97252,x97253),x97254)),x97255))
% 199.17/199.24 [9773]~P21(x97737,x97732,x97735,x97738,x97736,x97731)+~P1(f317(f28(x97732),x97734))+E(f317(x97731,f317(f317(f299(x97732),x97733),x97734)),f317(f317(x97735,f317(x97736,x97733)),f317(x97731,x97734)))+P1(f317(f317(f319(x97732),x97733),x97734))
% 199.17/199.24 [9788]~P20(x97886,x97885,x97881,x97887,x97888,x97882)+E(f317(f317(x97881,f317(x97882,x97883)),f317(x97882,x97884)),f317(x97882,x97884))+~P1(f317(f28(x97885),x97884))+~P1(f317(f317(f224(f907(x97885,a897)),x97883),x97884))
% 199.17/199.24 [9347]P1(f317(f317(f319(f906(f902(x93471),f902(x93471))),f317(f317(f242(f902(x93471),f902(x93471)),x93472),x93473)),f147(x93471,x93474)))+~E(x93473,f317(f317(f124(x93471),x93475),f317(f317(f141(x93471),x93476),x93477)))+~E(x93472,f317(f317(f124(x93471),x93475),f317(f317(f141(x93471),x93478),x93477)))+~P1(f317(f317(f319(f906(x93471,x93471)),f317(f317(f242(x93471,x93471),x93478),x93476)),x93474))
% 199.17/199.24 [9782]~P20(x97826,x97822,x97825,x97827,x97828,x97821)+~P1(f317(f28(x97822),x97824))+~P1(f317(f28(x97822),x97823))+E(f317(x97821,f317(f317(f91(f907(x97822,a897)),x97823),x97824)),f317(f317(x97825,f317(x97821,x97823)),f317(x97821,x97824)))
% 199.17/199.24 [10353]~P22(x103534,x103532,x103535,x103538)+E(f317(f317(f34(x103531,f907(x103532,a897)),x103533),f317(f317(f10(f907(x103534,a897),f907(x103532,a897),x103531),f300(x103534,x103532,x103535)),x103536)),f317(f300(x103534,x103532,x103535),f317(f317(f34(x103531,f907(x103534,a897)),x103533),x103536)))+~P1(f317(f317(f319(x103531),x103537),x103533))+P1(f317(f317(f319(x103531),f517(x103537,x103536,x103533,x103531,x103538,x103535,x103532,x103534)),x103533))
% 199.17/199.24 [10388]~P22(x103884,x103882,x103885,x103887)+E(f317(f317(f34(x103881,f907(x103882,a897)),x103883),f317(f317(f10(f907(x103884,a897),f907(x103882,a897),x103881),f300(x103884,x103882,x103885)),x103886)),f317(f300(x103884,x103882,x103885),f317(f317(f34(x103881,f907(x103884,a897)),x103883),x103886)))+~P1(f317(f317(f319(x103881),x103888),x103883))+~P1(f317(f317(f224(f907(x103884,a897)),f317(x103886,f517(x103888,x103886,x103883,x103881,x103887,x103885,x103882,x103884))),x103887))
% 199.17/199.24 [10400]~P1(f317(f317(x104001,x104008),x104007))+P1(f317(f317(x104001,x104002),x104003))+~P1(f317(f317(f319(f906(f906(x104004,x104005),f906(x104004,x104005))),f317(f317(f242(f906(x104004,x104005),f906(x104004,x104005)),f317(f317(f242(x104004,x104005),x104002),x104003)),f317(f317(f242(x104004,x104005),x104008),x104007))),f297(f906(x104004,x104005),x104006)))+P1(f317(f317(f319(f906(f906(x104004,x104005),f906(x104004,x104005))),f317(f317(f242(f906(x104004,x104005),f906(x104004,x104005)),f317(f317(f242(x104004,x104005),f824(x104001,x104006,x104007,x104008,x104003,x104002,x104005,x104004)),f828(x104001,x104006,x104007,x104008,x104003,x104002,x104005,x104004))),f317(f317(f242(x104004,x104005),f823(x104001,x104006,x104007,x104008,x104003,x104002,x104005,x104004)),f829(x104001,x104006,x104007,x104008,x104003,x104002,x104005,x104004)))),x104006))
% 199.17/199.24 [10401]~P1(f317(f317(x104011,x104018),x104017))+P1(f317(f317(x104011,x104012),x104013))+~P1(f317(f317(f319(f906(f906(x104014,x104015),f906(x104014,x104015))),f317(f317(f242(f906(x104014,x104015),f906(x104014,x104015)),f317(f317(f242(x104014,x104015),x104018),x104017)),f317(f317(f242(x104014,x104015),x104012),x104013))),f297(f906(x104014,x104015),x104016)))+P1(f317(f317(f319(f906(f906(x104014,x104015),f906(x104014,x104015))),f317(f317(f242(f906(x104014,x104015),f906(x104014,x104015)),f317(f317(f242(x104014,x104015),f820(x104011,x104016,x104013,x104012,x104017,x104018,x104015,x104014)),f821(x104011,x104016,x104013,x104012,x104017,x104018,x104015,x104014))),f317(f317(f242(x104014,x104015),f822(x104011,x104016,x104013,x104012,x104017,x104018,x104015,x104014)),f825(x104011,x104016,x104013,x104012,x104017,x104018,x104015,x104014)))),x104016))
% 199.17/199.24 [9848]~P21(x98487,x98485,x98481,x98488,x98482,x98484)+~P1(f317(f28(x98485),x98486))+~P1(f317(f317(f319(x98485),x98483),x98486))+E(f317(f317(x98481,f317(x98482,x98483)),f317(x98484,f317(f317(f3(f907(x98485,a897)),x98486),f317(f317(f299(x98485),x98483),f179(f907(x98485,a897)))))),f317(x98484,x98486))
% 199.17/199.24 [9857]~P21(x98576,x98573,x98571,x98577,x98578,x98572)+~P1(f317(f28(x98573),x98575))+~P1(f317(f28(x98573),x98574))+E(f317(f317(x98571,f317(x98572,f317(f317(f91(f907(x98573,a897)),x98574),x98575))),f317(x98572,f317(f317(f92(f907(x98573,a897)),x98574),x98575))),f317(f317(x98571,f317(x98572,x98574)),f317(x98572,x98575)))
% 199.17/199.24 [9950]P39(x99501,x99502,x99503,x99504,x99505,f317(f317(x99503,x99506),x99507))+~P39(x99501,x99502,x99503,x99504,f317(f317(f3(f907(x99501,a897)),x99505),f317(f317(f299(x99501),x99508),f179(f907(x99501,a897)))),x99509)+~E(f317(f317(x99503,x99506),x99507),f317(f317(x99503,x99508),x99509))+~P1(f317(f317(f319(x99501),x99508),x99505))
% 199.17/199.24 [9881]~P10(x98816,x98817,x98818,x98819,x988110,x98811)+E(f317(f317(x98811,x98812),x98813),f317(f317(x98811,x98814),x98815))+~P1(f317(f317(f319(f906(x98817,x98817)),f317(f317(f242(x98817,x98817),x98813),x98815)),x988110))+~P1(f317(f317(f319(f906(x98816,x98816)),f317(f317(f242(x98816,x98816),x98812),x98814)),x98819))
% 199.17/199.24 [9456]~P68(x94562)+E(x94561,f179(f907(x94562,a897)))+~P1(f317(f28(x94562),x94561))+P1(f317(f317(f319(x94562),f12(x94562,x94561)),x94561))+~P1(f317(f317(f319(x94562),f317(f317(f91(x94562),f472(x94561,x94562)),f479(x94561,x94562))),f317(f317(f299(x94562),f472(x94561,x94562)),f317(f317(f299(x94562),f479(x94561,x94562)),f179(f907(x94562,a897))))))
% 199.17/199.24 [9457]~P68(x94572)+E(x94571,f179(f907(x94572,a897)))+~P1(f317(f28(x94572),x94571))+P1(f317(f317(f319(x94572),f13(x94572,x94571)),x94571))+~P1(f317(f317(f319(x94572),f317(f317(f92(x94572),f758(x94571,x94572)),f768(x94571,x94572))),f317(f317(f299(x94572),f758(x94571,x94572)),f317(f317(f299(x94572),f768(x94571,x94572)),f179(f907(x94572,a897))))))
% 199.17/199.24 [9491]~P76(x94912)+E(x94911,f179(f907(x94912,a897)))+~P1(f317(f28(x94912),x94911))+P1(f317(f317(f319(x94912),f317(f57(x94912,f75(x94912)),x94911)),x94911))+~P1(f317(f317(f319(x94912),f317(f317(f75(x94912),f867(x94911,x94912)),f868(x94911,x94912))),f317(f317(f299(x94912),f867(x94911,x94912)),f317(f317(f299(x94912),f868(x94911,x94912)),f179(f907(x94912,a897))))))
% 199.17/199.24 [9496]~P108(x94962)+E(x94961,f179(f907(x94962,a897)))+~P1(f317(f28(x94962),x94961))+P1(f317(f317(f319(x94962),f14(x94962,f178(x94962),x94961)),x94961))+~P1(f317(f317(f319(x94962),f317(f317(f178(x94962),f714(x94961,x94962)),f724(x94961,x94962))),f317(f317(f299(x94962),f714(x94961,x94962)),f317(f317(f299(x94962),f724(x94961,x94962)),f179(f907(x94962,a897))))))
% 199.17/199.24 [9497]~P108(x94972)+E(x94971,f179(f907(x94972,a897)))+~P1(f317(f28(x94972),x94971))+P1(f317(f317(f319(x94972),f15(x94972,f228(x94972),x94971)),x94971))+~P1(f317(f317(f319(x94972),f317(f317(f228(x94972),f736(x94971,x94972)),f747(x94971,x94972))),f317(f317(f299(x94972),f736(x94971,x94972)),f317(f317(f299(x94972),f747(x94971,x94972)),f179(f907(x94972,a897))))))
% 199.17/199.24 [6623]~P92(x66232)+E(x66231,f2(x66232))+~E(f317(f317(f74(x66232),x66233),x66231),f2(x66232))+~P1(f317(f317(f224(x66232),f2(x66232)),x66233))+~P1(f317(f317(f224(x66232),f2(x66232)),x66231))
% 199.17/199.24 [6624]~P92(x66242)+E(x66241,f2(x66242))+~E(f317(f317(f74(x66242),x66241),x66243),f2(x66242))+~P1(f317(f317(f224(x66242),f2(x66242)),x66243))+~P1(f317(f317(f224(x66242),f2(x66242)),x66241))
% 199.17/199.24 [7164]~P108(x71642)+~P11(x71642,x71641)+E(x71641,f103(x71642))+~P1(f317(f317(f319(x71642),x71643),f317(f162(x71642),f690(x71641,x71642))))+P1(f317(f317(f224(x71642),f709(x71641,x71642)),x71643))
% 199.17/199.24 [7332]~P108(x73321)+E(f17(x73321,x73322),x73323)+~P1(f317(f28(x73321),x73322))+~P1(f317(f317(f224(x73321),x73323),f569(x73323,x73322,x73321)))+~P1(f317(f317(f319(x73321),x73323),x73322))
% 199.17/199.24 [7365]~P108(x73651)+~P11(x73651,x73652)+~P11(x73651,x73653)+P11(x73651,f317(f317(f124(x73651),x73652),x73653))+P1(f317(f317(f319(x73651),f696(x73653,x73652,x73651)),f317(f162(x73651),x73652)))
% 199.17/199.24 [7366]~P108(x73661)+~P11(x73661,x73662)+~P11(x73661,x73663)+P11(x73661,f317(f317(f124(x73661),x73662),x73663))+P1(f317(f317(f319(x73661),f697(x73663,x73662,x73661)),f317(f162(x73661),x73663)))
% 199.17/199.24 [7426]~P108(x74261)+E(f16(x74261,x74262),x74263)+~P1(f317(f28(x74261),x74262))+P1(f317(f317(f319(x74261),f564(x74263,x74262,x74261)),x74262))+~P1(f317(f317(f319(x74261),x74263),x74262))
% 199.17/199.24 [7427]~P108(x74271)+E(f17(x74271,x74272),x74273)+~P1(f317(f28(x74271),x74272))+P1(f317(f317(f319(x74271),f569(x74273,x74272,x74271)),x74272))+~P1(f317(f317(f319(x74271),x74273),x74272))
% 199.17/199.24 [7990]~P108(x79901)+E(f16(x79901,x79902),x79903)+~P1(f317(f28(x79901),x79902))+~P1(f317(f317(f319(x79901),x79903),x79902))+~P1(f317(f317(f224(x79901),f564(x79903,x79902,x79901)),x79903))
% 199.17/199.24 [8308]~P108(x83081)+~P11(x83081,x83082)+~P11(x83081,x83083)+P11(x83081,f317(f317(f124(x83081),x83082),x83083))+~P1(f317(f317(f224(x83081),f696(x83083,x83082,x83081)),f697(x83083,x83082,x83081)))
% 199.17/199.24 [9090]~P108(x90902)+E(x90901,f179(f907(x90902,a897)))+~E(f317(f317(f178(x90902),f317(x90903,f815(x90901,x90903,x90902))),f317(x90903,f830(x90901,x90903,x90902))),f317(x90903,f317(f317(f178(x90902),f815(x90901,x90903,x90902)),f830(x90901,x90903,x90902))))+E(f16(x90902,f317(f300(x90902,x90902,x90903),x90901)),f317(x90903,f16(x90902,x90901)))+~P1(f317(f28(x90902),x90901))
% 199.17/199.24 [9091]~P108(x90912)+E(x90911,f179(f907(x90912,a897)))+~E(f317(f317(f228(x90912),f317(x90913,f844(x90911,x90913,x90912))),f317(x90913,f852(x90911,x90913,x90912))),f317(x90913,f317(f317(f228(x90912),f844(x90911,x90913,x90912)),f852(x90911,x90913,x90912))))+E(f17(x90912,f317(f300(x90912,x90912,x90913),x90911)),f317(x90913,f17(x90912,x90911)))+~P1(f317(f28(x90912),x90911))
% 199.17/199.24 [9092]~P68(x90922)+E(x90921,f179(f907(x90922,a897)))+~E(f317(f317(f91(x90922),f317(x90923,f509(x90921,x90923,x90922))),f317(x90923,f522(x90921,x90923,x90922))),f317(x90923,f317(f317(f91(x90922),f509(x90921,x90923,x90922)),f522(x90921,x90923,x90922))))+E(f12(x90922,f317(f300(x90922,x90922,x90923),x90921)),f317(x90923,f12(x90922,x90921)))+~P1(f317(f28(x90922),x90921))
% 199.17/199.24 [9093]~P68(x90932)+E(x90931,f179(f907(x90932,a897)))+~E(f317(f317(f92(x90932),f317(x90933,f853(x90931,x90933,x90932))),f317(x90933,f854(x90931,x90933,x90932))),f317(x90933,f317(f317(f92(x90932),f853(x90931,x90933,x90932)),f854(x90931,x90933,x90932))))+E(f13(x90932,f317(f300(x90932,x90932,x90933),x90931)),f317(x90933,f13(x90932,x90931)))+~P1(f317(f28(x90932),x90931))
% 199.17/199.24 [9156]~P108(x91562)+E(x91561,f179(f907(x91562,a897)))+~E(f317(f317(f178(x91562),f317(x91563,f778(x91561,x91563,x91562))),f317(x91563,f788(x91561,x91563,x91562))),f317(x91563,f317(f317(f178(x91562),f778(x91561,x91563,x91562)),f788(x91561,x91563,x91562))))+E(f14(x91562,f178(x91562),f317(f300(x91562,x91562,x91563),x91561)),f317(x91563,f14(x91562,f178(x91562),x91561)))+~P1(f317(f28(x91562),x91561))
% 199.17/199.24 [9157]~P108(x91572)+E(x91571,f179(f907(x91572,a897)))+~E(f317(f317(f228(x91572),f317(x91573,f798(x91571,x91573,x91572))),f317(x91573,f809(x91571,x91573,x91572))),f317(x91573,f317(f317(f228(x91572),f798(x91571,x91573,x91572)),f809(x91571,x91573,x91572))))+E(f15(x91572,f228(x91572),f317(f300(x91572,x91572,x91573),x91571)),f317(x91573,f15(x91572,f228(x91572),x91571)))+~P1(f317(f28(x91572),x91571))
% 199.17/199.24 [6642]~P76(x66422)+E(x66421,f179(f907(x66422,a897)))+~P1(f317(f28(x66422),x66421))+E(f317(f57(x66422,f75(x66422)),f317(f317(f299(x66422),x66423),x66421)),f317(f317(f75(x66422),x66423),f317(f57(x66422,f75(x66422)),x66421)))+P1(f317(f317(f319(x66422),x66423),x66421))
% 199.17/199.24 [7170]~P68(x71702)+E(f317(f317(f91(x71702),f12(x71702,x71701)),f12(x71702,x71703)),f12(x71702,x71703))+E(x71701,f179(f907(x71702,a897)))+~P1(f317(f28(x71702),x71703))+~P1(f317(f317(f224(f907(x71702,a897)),x71701),x71703))
% 199.17/199.24 [7171]~P108(x71712)+E(f317(f317(f228(x71712),f17(x71712,x71711)),f17(x71712,x71713)),f17(x71712,x71713))+E(x71711,f179(f907(x71712,a897)))+~P1(f317(f28(x71712),x71713))+~P1(f317(f317(f224(f907(x71712,a897)),x71711),x71713))
% 199.17/199.24 [7172]~P108(x71722)+E(f317(f317(f178(x71722),f16(x71722,x71721)),f16(x71722,x71723)),f16(x71722,x71723))+E(x71721,f179(f907(x71722,a897)))+~P1(f317(f28(x71722),x71723))+~P1(f317(f317(f224(f907(x71722,a897)),x71721),x71723))
% 199.17/199.24 [7173]~P68(x71732)+E(f317(f317(f92(x71732),f13(x71732,x71731)),f13(x71732,x71733)),f13(x71732,x71733))+E(x71731,f179(f907(x71732,a897)))+~P1(f317(f28(x71732),x71733))+~P1(f317(f317(f224(f907(x71732,a897)),x71731),x71733))
% 199.17/199.24 [7468]~P108(x74682)+E(x74681,f179(f907(x74682,a897)))+~P1(f317(f28(x74682),x74683))+P1(f317(f317(f224(x74682),f16(x74682,x74681)),f16(x74682,x74683)))+~P1(f317(f317(f224(f907(x74682,a897)),x74681),x74683))
% 199.17/199.24 [7469]~P108(x74692)+E(x74691,f179(f907(x74692,a897)))+~P1(f317(f28(x74692),x74693))+P1(f317(f317(f224(x74692),f17(x74692,x74693)),f17(x74692,x74691)))+~P1(f317(f317(f224(f907(x74692,a897)),x74691),x74693))
% 199.17/199.24 [7522]~P108(x75221)+E(f16(x75221,x75222),x75223)+~P1(f317(f28(x75221),x75222))+~E(f317(f317(f3(f907(x75221,a897)),x75222),f317(f317(f299(x75221),x75223),f179(f907(x75221,a897)))),f179(f907(x75221,a897)))+~P1(f317(f317(f319(x75221),x75223),x75222))
% 199.17/199.24 [7523]~P108(x75231)+E(f17(x75231,x75232),x75233)+~P1(f317(f28(x75231),x75232))+~E(f317(f317(f3(f907(x75231,a897)),x75232),f317(f317(f299(x75231),x75233),f179(f907(x75231,a897)))),f179(f907(x75231,a897)))+~P1(f317(f317(f319(x75231),x75233),x75232))
% 199.17/199.24 [7524]~P68(x75241)+E(f12(x75241,x75242),x75243)+~P1(f317(f28(x75241),x75242))+~E(f317(f317(f3(f907(x75241,a897)),x75242),f317(f317(f299(x75241),x75243),f179(f907(x75241,a897)))),f179(f907(x75241,a897)))+~P1(f317(f317(f319(x75241),x75243),x75242))
% 199.17/199.24 [7525]~P68(x75251)+E(f13(x75251,x75252),x75253)+~P1(f317(f28(x75251),x75252))+~E(f317(f317(f3(f907(x75251,a897)),x75252),f317(f317(f299(x75251),x75253),f179(f907(x75251,a897)))),f179(f907(x75251,a897)))+~P1(f317(f317(f319(x75251),x75253),x75252))
% 199.17/199.24 [7621]~P108(x76211)+E(f14(x76211,f178(x76211),x76212),x76213)+~P1(f317(f28(x76211),x76212))+~E(f317(f317(f3(f907(x76211,a897)),x76212),f317(f317(f299(x76211),x76213),f179(f907(x76211,a897)))),f179(f907(x76211,a897)))+~P1(f317(f317(f319(x76211),x76213),x76212))
% 199.17/199.24 [7622]~P108(x76221)+E(f15(x76221,f228(x76221),x76222),x76223)+~P1(f317(f28(x76221),x76222))+~E(f317(f317(f3(f907(x76221,a897)),x76222),f317(f317(f299(x76221),x76223),f179(f907(x76221,a897)))),f179(f907(x76221,a897)))+~P1(f317(f317(f319(x76221),x76223),x76222))
% 199.17/199.24 [7657]~P108(x76572)+E(x76571,f179(f907(x76572,a897)))+~P1(f317(f28(x76572),x76571))+~P1(f317(f317(f224(x76572),x76573),f850(x76573,x76571,x76572)))+P1(f317(f317(f224(x76572),x76573),f317(f57(x76572,f228(x76572)),x76571)))
% 199.17/199.24 [7658]~P103(x76582)+E(x76581,f179(f907(x76582,a897)))+~P1(f317(f28(x76582),x76581))+~P1(f317(f317(f224(x76582),x76583),f851(x76583,x76581,x76582)))+P1(f317(f317(f224(x76582),x76583),f317(f57(x76582,f92(x76582)),x76581)))
% 199.17/199.24 [7659]~P108(x76592)+E(x76591,f179(f907(x76592,a897)))+~P1(f317(f28(x76592),x76591))+~P1(f317(f317(f225(x76592),x76593),f877(x76593,x76591,x76592)))+P1(f317(f317(f225(x76592),x76593),f317(f57(x76592,f228(x76592)),x76591)))
% 199.17/199.24 [7743]~P103(x77432)+E(x77431,f179(f907(x77432,a897)))+~P1(f317(f28(x77432),x77431))+P1(f317(f317(f319(x77432),f851(x77433,x77431,x77432)),x77431))+P1(f317(f317(f224(x77432),x77433),f317(f57(x77432,f92(x77432)),x77431)))
% 199.17/199.24 [7744]~P108(x77442)+E(x77441,f179(f907(x77442,a897)))+~P1(f317(f28(x77442),x77441))+P1(f317(f317(f319(x77442),f850(x77443,x77441,x77442)),x77441))+P1(f317(f317(f224(x77442),x77443),f317(f57(x77442,f228(x77442)),x77441)))
% 199.17/199.24 [7745]~P108(x77452)+E(x77451,f179(f907(x77452,a897)))+~P1(f317(f28(x77452),x77451))+P1(f317(f317(f319(x77452),f877(x77453,x77451,x77452)),x77451))+P1(f317(f317(f225(x77452),x77453),f317(f57(x77452,f228(x77452)),x77451)))
% 199.17/199.24 [7867]~P108(x78672)+E(x78671,f179(f907(x78672,a897)))+E(f317(f317(f228(x78672),f15(x78672,f228(x78672),x78671)),f15(x78672,f228(x78672),x78673)),f15(x78672,f228(x78672),x78673))+~P1(f317(f28(x78672),x78673))+~P1(f317(f317(f224(f907(x78672,a897)),x78671),x78673))
% 199.17/199.24 [7868]~P108(x78682)+E(x78681,f179(f907(x78682,a897)))+E(f317(f317(f178(x78682),f14(x78682,f178(x78682),x78681)),f14(x78682,f178(x78682),x78683)),f14(x78682,f178(x78682),x78683))+~P1(f317(f28(x78682),x78683))+~P1(f317(f317(f224(f907(x78682,a897)),x78681),x78683))
% 199.17/199.24 [8063]~E(f891(x80631,x80633,x80632),f892(x80631,x80633,x80632))+~E(f317(f29(x80632),f893(x80631,x80633,x80632)),x80631)+E(f317(f317(f75(a901),x80631),f317(f29(f907(x80632,a897)),x80633)),f317(f29(x80632),f31(f907(x80632,a897),x80633)))+~P1(f317(f28(x80632),f31(f907(x80632,a897),x80633)))+~P1(f317(f28(f907(x80632,a897)),x80633))
% 199.17/199.24 [8247]~P108(x82472)+E(x82471,f179(f907(x82472,a897)))+~P1(f317(f28(x82472),x82473))+P1(f317(f317(f224(x82472),f317(f57(x82472,f228(x82472)),x82473)),f317(f57(x82472,f228(x82472)),x82471)))+~P1(f317(f317(f224(f907(x82472,a897)),x82471),x82473))
% 199.17/199.24 [8540]~E(f891(x85401,x85403,x85402),f892(x85401,x85403,x85402))+E(f317(f317(f75(a901),x85401),f317(f29(f907(x85402,a897)),x85403)),f317(f29(x85402),f31(f907(x85402,a897),x85403)))+P1(f317(f317(f319(f907(x85402,a897)),f893(x85401,x85403,x85402)),x85403))+~P1(f317(f28(x85402),f31(f907(x85402,a897),x85403)))+~P1(f317(f28(f907(x85402,a897)),x85403))
% 199.17/199.24 [8567]~E(f317(f29(x85672),f893(x85671,x85673,x85672)),x85671)+E(f317(f317(f75(a901),x85671),f317(f29(f907(x85672,a897)),x85673)),f317(f29(x85672),f31(f907(x85672,a897),x85673)))+P1(f317(f317(f319(f907(x85672,a897)),f892(x85671,x85673,x85672)),x85673))+~P1(f317(f28(x85672),f31(f907(x85672,a897),x85673)))+~P1(f317(f28(f907(x85672,a897)),x85673))
% 199.17/199.24 [8568]~E(f317(f29(x85682),f893(x85681,x85683,x85682)),x85681)+E(f317(f317(f75(a901),x85681),f317(f29(f907(x85682,a897)),x85683)),f317(f29(x85682),f31(f907(x85682,a897),x85683)))+P1(f317(f317(f319(f907(x85682,a897)),f891(x85681,x85683,x85682)),x85683))+~P1(f317(f28(x85682),f31(f907(x85682,a897),x85683)))+~P1(f317(f28(f907(x85682,a897)),x85683))
% 199.17/199.24 [8591]~E(f317(f29(x85912),f893(x85911,x85913,x85912)),x85911)+~E(f317(f317(f92(f907(x85912,a897)),f892(x85911,x85913,x85912)),f891(x85911,x85913,x85912)),f179(f907(x85912,a897)))+E(f317(f317(f75(a901),x85911),f317(f29(f907(x85912,a897)),x85913)),f317(f29(x85912),f31(f907(x85912,a897),x85913)))+~P1(f317(f28(f907(x85912,a897)),x85913))+~P1(f317(f28(x85912),f31(f907(x85912,a897),x85913)))
% 199.17/199.24 [8851]E(f317(f317(f75(a901),x88511),f317(f29(f907(x88512,a897)),x88513)),f317(f29(x88512),f31(f907(x88512,a897),x88513)))+P1(f317(f317(f319(f907(x88512,a897)),f893(x88511,x88513,x88512)),x88513))+P1(f317(f317(f319(f907(x88512,a897)),f892(x88511,x88513,x88512)),x88513))+~P1(f317(f28(f907(x88512,a897)),x88513))+~P1(f317(f28(x88512),f31(f907(x88512,a897),x88513)))
% 199.17/199.24 [8852]E(f317(f317(f75(a901),x88521),f317(f29(f907(x88522,a897)),x88523)),f317(f29(x88522),f31(f907(x88522,a897),x88523)))+P1(f317(f317(f319(f907(x88522,a897)),f893(x88521,x88523,x88522)),x88523))+P1(f317(f317(f319(f907(x88522,a897)),f891(x88521,x88523,x88522)),x88523))+~P1(f317(f28(f907(x88522,a897)),x88523))+~P1(f317(f28(x88522),f31(f907(x88522,a897),x88523)))
% 199.17/199.24 [8877]~E(f317(f317(f92(f907(x88772,a897)),f892(x88771,x88773,x88772)),f891(x88771,x88773,x88772)),f179(f907(x88772,a897)))+E(f317(f317(f75(a901),x88771),f317(f29(f907(x88772,a897)),x88773)),f317(f29(x88772),f31(f907(x88772,a897),x88773)))+~P1(f317(f28(f907(x88772,a897)),x88773))+P1(f317(f317(f319(f907(x88772,a897)),f893(x88771,x88773,x88772)),x88773))+~P1(f317(f28(x88772),f31(f907(x88772,a897),x88773)))
% 199.17/199.24 [9135]~P99(x91352)+E(x91351,f179(f907(x91352,a897)))+~E(f317(f317(f75(x91352),f317(x91353,f872(x91351,x91353,x91352))),f317(x91353,f873(x91351,x91353,x91352))),f317(x91353,f317(f317(f75(x91352),f872(x91351,x91353,x91352)),f873(x91351,x91353,x91352))))+~P1(f317(f28(x91352),x91351))+E(f317(f57(x91352,f75(x91352)),f317(f300(x91352,x91352,x91353),x91351)),f317(x91353,f317(f57(x91352,f75(x91352)),x91351)))
% 199.17/199.24 [10300]P1(f317(f317(x103001,x103002),x103003))+P1(f317(f317(f225(a1),f454(x103001,x103003,x103002)),f455(x103001,x103003,x103002)))+P1(f317(f317(f224(a1),f455(x103001,x103003,x103002)),f2(a1)))+P1(f317(f317(x103001,f454(x103001,x103003,x103002)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f455(x103001,x103003,x103002))))+~P1(f317(f305(f906(a1,a1),a53),f317(f317(f242(a1,a1),x103002),x103003)))
% 199.17/199.24 [10301]P1(f317(f317(x103011,x103012),x103013))+P1(f317(f317(f224(a1),f451(x103011,x103013,x103012)),f2(a1)))+P1(f317(f317(x103011,f447(x103011,x103013,x103012)),f317(f317(f75(a1),f317(f94(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f451(x103011,x103013,x103012))))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),f447(x103011,x103013,x103012)),f451(x103011,x103013,x103012))))+~P1(f317(f305(f906(a1,a1),a47),f317(f317(f242(a1,a1),x103012),x103013)))
% 199.17/199.24 [8035]~P119(x80351)+~P1(f317(f317(f224(x80351),x80352),f72(x80351)))+~P1(f317(f317(f224(x80351),f2(x80351)),x80352))+~P1(f317(f317(f224(x80351),f2(x80351)),x80353))+P1(f317(f317(f224(x80351),f317(f317(f75(x80351),x80352),x80353)),x80353))
% 199.17/199.24 [8036]~P119(x80361)+~P1(f317(f317(f224(x80361),x80363),f72(x80361)))+~P1(f317(f317(f224(x80361),f2(x80361)),x80363))+~P1(f317(f317(f224(x80361),f2(x80361)),x80362))+P1(f317(f317(f224(x80361),f317(f317(f75(x80361),x80362),x80363)),x80362))
% 199.17/199.24 [8391]~P108(x83912)+E(x83911,f179(f907(x83912,a897)))+~P1(f317(f28(x83912),x83911))+P1(f317(f317(f319(x83912),f866(x83913,x83911,x83912)),x83911))+~P1(f317(f317(f224(x83912),f317(f57(x83912,f228(x83912)),x83911)),x83913))
% 199.17/199.24 [8392]~P108(x83922)+E(x83921,f179(f907(x83922,a897)))+~P1(f317(f28(x83922),x83921))+P1(f317(f317(f319(x83922),f878(x83923,x83921,x83922)),x83921))+~P1(f317(f317(f225(x83922),f317(f57(x83922,f228(x83922)),x83921)),x83923))
% 199.17/199.24 [8393]~P108(x83932)+E(x83931,f179(f907(x83932,a897)))+~P1(f317(f28(x83932),x83931))+P1(f317(f317(f224(x83932),f866(x83933,x83931,x83932)),x83933))+~P1(f317(f317(f224(x83932),f317(f57(x83932,f228(x83932)),x83931)),x83933))
% 199.17/199.24 [8394]~P108(x83942)+E(x83941,f179(f907(x83942,a897)))+~P1(f317(f28(x83942),x83941))+P1(f317(f317(f225(x83942),f878(x83943,x83941,x83942)),x83943))+~P1(f317(f317(f225(x83942),f317(f57(x83942,f228(x83942)),x83941)),x83943))
% 199.17/199.24 [8477]~P1(f317(x84771,x84773))+P1(f317(x84771,f422(x84771,x84772)))+P1(f317(x84771,f416(x84771,x84772)))+~P1(f317(f317(f225(a1),f2(a1)),x84772))+P1(f317(x84771,f317(f317(f3(a1),f416(x84771,x84772)),f317(f317(f75(a1),f423(x84771,x84772)),x84772))))
% 199.17/199.24 [8694]~P1(f317(x86941,x86943))+P1(f317(x86941,f416(x86941,x86942)))+~P1(f317(f317(f225(a1),f2(a1)),x86942))+P1(f317(f317(f319(a1),f422(x86941,x86942)),f294(a1,f72(a1),x86942)))+P1(f317(x86941,f317(f317(f3(a1),f416(x86941,x86942)),f317(f317(f75(a1),f423(x86941,x86942)),x86942))))
% 199.17/199.24 [8898]~P1(f317(x88981,x88983))+~P1(f317(x88981,f416(x88981,x88982)))+P1(f317(x88981,f422(x88981,x88982)))+~P1(f317(f317(f225(a1),f2(a1)),x88982))+~P1(f317(x88981,f317(f317(f3(a1),f416(x88981,x88982)),f317(f317(f75(a1),f423(x88981,x88982)),x88982))))
% 199.17/199.24 [9027]~P1(f317(x90271,x90273))+~P1(f317(x90271,f416(x90271,x90272)))+~P1(f317(f317(f225(a1),f2(a1)),x90272))+P1(f317(f317(f319(a1),f422(x90271,x90272)),f294(a1,f72(a1),x90272)))+~P1(f317(x90271,f317(f317(f3(a1),f416(x90271,x90272)),f317(f317(f75(a1),f423(x90271,x90272)),x90272))))
% 199.17/199.24 [8805]~P108(x88051)+~P1(f317(f28(x88051),x88052))+E(f317(f317(f3(f907(x88051,a897)),x88052),f317(f317(f299(x88051),x88053),f179(f907(x88051,a897)))),f179(f907(x88051,a897)))+~P1(f317(f317(f319(x88051),x88053),x88052))+E(f317(f317(f178(x88051),x88053),f16(x88051,f317(f317(f3(f907(x88051,a897)),x88052),f317(f317(f299(x88051),x88053),f179(f907(x88051,a897)))))),f16(x88051,x88052))
% 199.17/199.24 [8806]~P108(x88061)+~P1(f317(f28(x88061),x88062))+E(f317(f317(f3(f907(x88061,a897)),x88062),f317(f317(f299(x88061),x88063),f179(f907(x88061,a897)))),f179(f907(x88061,a897)))+~P1(f317(f317(f319(x88061),x88063),x88062))+E(f317(f317(f228(x88061),x88063),f17(x88061,f317(f317(f3(f907(x88061,a897)),x88062),f317(f317(f299(x88061),x88063),f179(f907(x88061,a897)))))),f17(x88061,x88062))
% 199.17/199.24 [8807]~P68(x88071)+~P1(f317(f28(x88071),x88072))+E(f317(f317(f3(f907(x88071,a897)),x88072),f317(f317(f299(x88071),x88073),f179(f907(x88071,a897)))),f179(f907(x88071,a897)))+~P1(f317(f317(f319(x88071),x88073),x88072))+E(f317(f317(f91(x88071),x88073),f12(x88071,f317(f317(f3(f907(x88071,a897)),x88072),f317(f317(f299(x88071),x88073),f179(f907(x88071,a897)))))),f12(x88071,x88072))
% 199.17/199.24 [8808]~P68(x88081)+~P1(f317(f28(x88081),x88082))+E(f317(f317(f3(f907(x88081,a897)),x88082),f317(f317(f299(x88081),x88083),f179(f907(x88081,a897)))),f179(f907(x88081,a897)))+~P1(f317(f317(f319(x88081),x88083),x88082))+E(f317(f317(f92(x88081),x88083),f13(x88081,f317(f317(f3(f907(x88081,a897)),x88082),f317(f317(f299(x88081),x88083),f179(f907(x88081,a897)))))),f13(x88081,x88082))
% 199.17/199.24 [8868]~P108(x88681)+~P1(f317(f28(x88681),x88682))+E(f317(f317(f3(f907(x88681,a897)),x88682),f317(f317(f299(x88681),x88683),f179(f907(x88681,a897)))),f179(f907(x88681,a897)))+~P1(f317(f317(f319(x88681),x88683),x88682))+E(f317(f317(f178(x88681),x88683),f14(x88681,f178(x88681),f317(f317(f3(f907(x88681,a897)),x88682),f317(f317(f299(x88681),x88683),f179(f907(x88681,a897)))))),f14(x88681,f178(x88681),x88682))
% 199.17/199.24 [8869]~P108(x88691)+~P1(f317(f28(x88691),x88692))+E(f317(f317(f3(f907(x88691,a897)),x88692),f317(f317(f299(x88691),x88693),f179(f907(x88691,a897)))),f179(f907(x88691,a897)))+~P1(f317(f317(f319(x88691),x88693),x88692))+E(f317(f317(f228(x88691),x88693),f15(x88691,f228(x88691),f317(f317(f3(f907(x88691,a897)),x88692),f317(f317(f299(x88691),x88693),f179(f907(x88691,a897)))))),f15(x88691,f228(x88691),x88692))
% 199.17/199.24 [8885]~P68(x88851)+~P1(f317(f28(x88851),x88853))+~P1(f317(f28(x88851),x88852))+E(f317(f317(f92(f907(x88851,a897)),x88852),x88853),f179(f907(x88851,a897)))+E(f317(f317(f91(x88851),f12(x88851,f317(f317(f91(f907(x88851,a897)),x88852),x88853))),f12(x88851,f317(f317(f92(f907(x88851,a897)),x88852),x88853))),f317(f317(f91(x88851),f12(x88851,x88852)),f12(x88851,x88853)))
% 199.17/199.24 [8886]~P108(x88861)+~P1(f317(f28(x88861),x88863))+~P1(f317(f28(x88861),x88862))+E(f317(f317(f92(f907(x88861,a897)),x88862),x88863),f179(f907(x88861,a897)))+E(f317(f317(f228(x88861),f17(x88861,f317(f317(f91(f907(x88861,a897)),x88862),x88863))),f17(x88861,f317(f317(f92(f907(x88861,a897)),x88862),x88863))),f317(f317(f228(x88861),f17(x88861,x88862)),f17(x88861,x88863)))
% 199.17/199.24 [8887]~P108(x88871)+~P1(f317(f28(x88871),x88873))+~P1(f317(f28(x88871),x88872))+E(f317(f317(f92(f907(x88871,a897)),x88872),x88873),f179(f907(x88871,a897)))+E(f317(f317(f178(x88871),f16(x88871,f317(f317(f91(f907(x88871,a897)),x88872),x88873))),f16(x88871,f317(f317(f92(f907(x88871,a897)),x88872),x88873))),f317(f317(f178(x88871),f16(x88871,x88872)),f16(x88871,x88873)))
% 199.17/199.24 [8888]~P68(x88881)+~P1(f317(f28(x88881),x88883))+~P1(f317(f28(x88881),x88882))+E(f317(f317(f92(f907(x88881,a897)),x88882),x88883),f179(f907(x88881,a897)))+E(f317(f317(f92(x88881),f13(x88881,f317(f317(f91(f907(x88881,a897)),x88882),x88883))),f13(x88881,f317(f317(f92(f907(x88881,a897)),x88882),x88883))),f317(f317(f92(x88881),f13(x88881,x88882)),f13(x88881,x88883)))
% 199.17/199.24 [9107]~P108(x91071)+~P1(f317(f28(x91071),x91073))+~P1(f317(f28(x91071),x91072))+E(f317(f317(f92(f907(x91071,a897)),x91072),x91073),f179(f907(x91071,a897)))+E(f317(f317(f228(x91071),f15(x91071,f228(x91071),f317(f317(f91(f907(x91071,a897)),x91072),x91073))),f15(x91071,f228(x91071),f317(f317(f92(f907(x91071,a897)),x91072),x91073))),f317(f317(f228(x91071),f15(x91071,f228(x91071),x91072)),f15(x91071,f228(x91071),x91073)))
% 199.17/199.24 [9108]~P108(x91081)+~P1(f317(f28(x91081),x91083))+~P1(f317(f28(x91081),x91082))+E(f317(f317(f92(f907(x91081,a897)),x91082),x91083),f179(f907(x91081,a897)))+E(f317(f317(f178(x91081),f14(x91081,f178(x91081),f317(f317(f91(f907(x91081,a897)),x91082),x91083))),f14(x91081,f178(x91081),f317(f317(f92(f907(x91081,a897)),x91082),x91083))),f317(f317(f178(x91081),f14(x91081,f178(x91081),x91082)),f14(x91081,f178(x91081),x91083)))
% 199.17/199.24 [10203]~P126(x102033)+E(x102031,x102032)+~P1(f317(f317(f224(x102033),f2(x102033)),x102032))+~P1(f317(f317(f224(x102033),f2(x102033)),x102031))+~E(f317(f317(f234(x102033),x102031),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))),f317(f317(f234(x102033),x102032),f317(f94(a901),f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),a77)),a77))),a87))))
% 199.17/199.24 [5968]~P58(x59682)+E(x59681,f2(x59682))+~E(f317(f317(f30(x59682),x59683),x59681),x59684)+E(x59683,f317(f317(f75(x59682),x59684),x59681))+~P1(f317(f317(f276(x59682),x59681),x59683))
% 199.17/199.24 [5969]~P58(x59692)+E(x59691,f2(x59692))+~E(x59693,f317(f317(f75(x59692),x59694),x59691))+E(f317(f317(f30(x59692),x59693),x59691),x59694)+~P1(f317(f317(f276(x59692),x59691),x59693))
% 199.17/199.24 [6437]E(f328(x64371,x64372,x64373),x64374)+E(f317(x64371,x64374),f2(a901))+~E(f317(f317(f8(x64373,a901),x64371),x64372),f72(a901))+~P1(f317(f28(x64373),x64372))+~P1(f317(f317(f319(x64373),x64374),x64372))
% 199.17/199.24 [6502]E(f330(x65021,x65022,x65023),x65024)+E(f317(x65021,x65024),f2(a901))+~E(f317(f317(f8(x65023,a901),x65021),x65022),f317(a102,f2(a901)))+~P1(f317(f28(x65023),x65022))+~P1(f317(f317(f319(x65023),x65024),x65022))
% 199.17/199.24 [6613]~P108(x66131)+~P3(x66131)+P1(f317(f317(f225(x66131),x66132),f31(x66131,x66133)))+~P1(f317(f317(f225(x66131),x66132),x66134))+~P1(f317(f317(f319(x66131),x66134),x66133))
% 199.17/199.24 [6788]~P108(x67881)+~P3(x67881)+~P1(f317(f317(f225(x67881),x67884),x67883))+P1(f317(f317(f225(x67881),f32(x67881,x67882)),x67883))+~P1(f317(f317(f319(x67881),x67884),x67882))
% 199.17/199.24 [7048]~P126(x70483)+E(x70481,x70482)+~E(f317(f317(f234(x70483),x70481),f317(a102,x70484)),f317(f317(f234(x70483),x70482),f317(a102,x70484)))+~P1(f317(f317(f224(x70483),f2(x70483)),x70482))+~P1(f317(f317(f224(x70483),f2(x70483)),x70481))
% 199.17/199.24 [7260]~E(f335(x72602,x72603,x72601,x72604),x72604)+~E(f317(x72602,x72604),f72(a901))+E(f317(f317(f8(x72601,a901),x72602),x72603),f72(a901))+~P1(f317(f28(x72601),x72603))+~P1(f317(f317(f319(x72601),x72604),x72603))
% 199.17/199.24 [7267]~P118(x72674)+~P132(x72674)+E(f317(x72671,f326(x72671,x72672,x72673,x72674)),f2(x72674))+~E(f317(f317(f11(x72673,x72674),x72671),x72672),f2(x72674))+~P1(f317(f28(x72673),x72672))
% 199.17/199.24 [7355]~E(f333(x73552,x73553,x73551,x73554),x73554)+~E(f317(x73552,x73554),f317(a102,f2(a901)))+E(f317(f317(f8(x73551,a901),x73552),x73553),f317(a102,f2(a901)))+~P1(f317(f28(x73551),x73553))+~P1(f317(f317(f319(x73551),x73554),x73553))
% 199.17/199.24 [8074]~E(f317(x80742,x80744),f72(a901))+~E(f317(x80742,f335(x80742,x80743,x80741,x80744)),f2(a901))+E(f317(f317(f8(x80741,a901),x80742),x80743),f72(a901))+~P1(f317(f28(x80741),x80743))+~P1(f317(f317(f319(x80741),x80744),x80743))
% 199.17/199.24 [8111]~E(f317(x81112,x81114),f317(a102,f2(a901)))+~E(f317(x81112,f333(x81112,x81113,x81111,x81114)),f2(a901))+E(f317(f317(f8(x81111,a901),x81112),x81113),f317(a102,f2(a901)))+~P1(f317(f28(x81111),x81113))+~P1(f317(f317(f319(x81111),x81114),x81113))
% 199.17/199.24 [8201]~P145(x82012)+~P121(x82012)+~P1(f317(x82011,x82014))+~P1(f317(f317(f276(x82012),x82013),f317(f317(f74(x82012),x82014),f2(x82012))))+P1(f317(x82011,f317(f317(f75(x82012),x82013),f837(x82013,x82011,x82012))))
% 199.17/199.24 [8662]~P108(x86621)+~P11(x86621,x86624)+P11(x86621,x86622)+~E(x86622,f317(f317(f141(x86621),x86623),x86624))+~P1(f317(f317(f224(x86621),x86623),f710(x86622,x86621,x86624,x86623)))
% 199.17/199.24 [8698]E(x86981,x86982)+E(f317(f317(f3(a1),f404(x86983,x86982,x86984,x86981)),f401(x86983,x86982,x86984,x86981)),x86981)+~E(f317(f317(f74(a1),x86981),x86984),x86982)+~P1(f317(f317(f225(a1),f2(a1)),x86984))+~P1(f317(f317(f319(a1),x86982),x86983))
% 199.17/199.24 [8699]E(x86991,x86992)+E(f317(f317(f74(a1),f405(x86993,x86992,x86994,x86991)),f406(x86993,x86992,x86994,x86991)),x86991)+~E(f317(f317(f3(a1),x86991),x86994),x86992)+~P1(f317(f317(f225(a1),f2(a1)),x86994))+~P1(f317(f317(f319(a1),x86992),x86993))
% 199.17/199.24 [8883]E(f317(x88831,f438(x88832,x88831,x88833,x88834)),x88832)+P1(f317(f317(f224(a901),x88834),f439(x88832,x88831,x88833,x88834)))+~P1(f317(f317(f224(a1),x88832),f317(x88831,x88833)))+~P1(f317(f317(f225(a901),x88834),x88833))+~P1(f317(f317(f224(a1),f317(x88831,x88834)),x88832))
% 199.17/199.24 [8884]~P108(x88841)+~P11(x88841,x88843)+P11(x88841,x88842)+~E(x88842,f317(f317(f141(x88841),x88844),x88843))+P1(f317(f317(f319(x88841),f710(x88842,x88841,x88843,x88844)),f317(f162(x88841),x88843)))
% 199.17/199.24 [8902]~P118(x89024)+~P132(x89024)+~E(f317(f317(f11(x89021,x89024),x89022),x89023),f2(x89024))+~P1(f317(f28(x89021),x89023))+P1(f317(f317(f319(x89021),f326(x89022,x89023,x89021,x89024)),x89023))
% 199.17/199.24 [8942]~E(f317(x89422,x89424),f72(a901))+E(f317(f317(f8(x89421,a901),x89422),x89423),f72(a901))+~P1(f317(f28(x89421),x89423))+~P1(f317(f317(f319(x89421),x89424),x89423))+P1(f317(f317(f319(x89421),f335(x89422,x89423,x89421,x89424)),x89423))
% 199.17/199.24 [8955]E(x89551,x89552)+~E(f317(f317(f74(a1),x89552),x89554),x89551)+~P1(f317(f317(f225(a1),f2(a1)),x89554))+~P1(f317(f317(f319(a1),x89551),x89553))+P1(f317(f317(f319(a1),f404(x89553,x89551,x89554,x89552)),x89553))
% 199.17/199.24 [8956]E(x89561,x89562)+~E(f317(f317(f3(a1),x89562),x89564),x89561)+~P1(f317(f317(f225(a1),f2(a1)),x89564))+~P1(f317(f317(f319(a1),x89561),x89563))+P1(f317(f317(f319(a1),f405(x89563,x89561,x89564,x89562)),x89563))
% 199.17/199.24 [8958]~E(f317(x89582,x89584),f317(a102,f2(a901)))+E(f317(f317(f8(x89581,a901),x89582),x89583),f317(a102,f2(a901)))+~P1(f317(f28(x89581),x89583))+~P1(f317(f317(f319(x89581),x89584),x89583))+P1(f317(f317(f319(x89581),f333(x89582,x89583,x89581,x89584)),x89583))
% 199.17/199.24 [8964]P56(x89642,x89643,x89644,x89641)+E(x89641,f179(f907(x89642,a897)))+~P1(f317(f28(x89642),x89644))+~P1(f317(f28(x89642),x89641))+P1(f317(f317(f319(x89642),f779(x89643,x89641,x89644,x89642)),x89644))
% 199.17/199.24 [8965]P56(x89652,x89653,x89654,x89651)+E(x89651,f179(f907(x89652,a897)))+~P1(f317(f28(x89652),x89654))+~P1(f317(f28(x89652),x89651))+P1(f317(f317(f319(x89652),f515(x89651,x89654,x89653,x89652)),x89654))
% 199.17/199.24 [8966]P56(x89662,x89663,x89664,x89661)+E(x89661,f179(f907(x89662,a897)))+~P1(f317(f28(x89662),x89664))+~P1(f317(f28(x89662),x89661))+P1(f317(f317(f319(x89662),f780(x89661,x89664,x89663,x89662)),x89664))
% 199.17/199.24 [9039]E(x90391,x90392)+~E(f317(f317(f74(a1),x90392),x90394),x90391)+~P1(f317(f317(f225(a1),f2(a1)),x90394))+~P1(f317(f317(f319(a1),x90391),x90393))+P1(f317(f317(f319(a1),f401(x90393,x90391,x90394,x90392)),f294(a1,f72(a1),x90394)))
% 199.17/199.24 [9040]E(x90401,x90402)+~E(f317(f317(f3(a1),x90402),x90404),x90401)+~P1(f317(f317(f225(a1),f2(a1)),x90404))+~P1(f317(f317(f319(a1),x90401),x90403))+P1(f317(f317(f319(a1),f406(x90403,x90401,x90404,x90402)),f294(a1,f72(a1),x90404)))
% 199.17/199.24 [9113]P1(f317(f317(f224(a901),x91131),f438(x91132,x91133,x91134,x91131)))+~P1(f317(f317(f224(a1),x91132),f317(x91133,x91134)))+P1(f317(f317(f224(a901),x91131),f439(x91132,x91133,x91134,x91131)))+~P1(f317(f317(f225(a901),x91131),x91134))+~P1(f317(f317(f224(a1),f317(x91133,x91131)),x91132))
% 199.17/199.24 [9219]E(f317(x92191,f438(x92192,x92191,x92193,x92194)),x92192)+~P1(f317(f317(f224(a1),x92192),f317(x92191,x92193)))+P1(f317(f317(f225(a901),f439(x92192,x92191,x92193,x92194)),x92193))+~P1(f317(f317(f225(a901),x92194),x92193))+~P1(f317(f317(f224(a1),f317(x92191,x92194)),x92192))
% 199.17/199.24 [9338]~P1(f317(f317(f276(a901),x93384),x93381))+~P1(f317(f317(f276(a901),x93384),x93383))+~P1(f317(f317(f276(a901),x93382),x93381))+P1(f317(f317(f276(a901),x93381),x93382))+P1(f317(f317(f225(f907(a901,a897)),f279(a901,f276(a901),x93383,x93382)),f279(a901,f276(a901),x93384,x93381)))
% 199.17/199.24 [9339]~P1(f317(f317(f276(a901),x93392),x93391))+~P1(f317(f317(f276(a901),x93393),x93394))+~P1(f317(f317(f276(a901),x93392),x93394))+P1(f317(f317(f276(a901),x93391),x93392))+P1(f317(f317(f225(f907(a901,a897)),f279(a901,f276(a901),x93391,x93393)),f279(a901,f276(a901),x93392,x93394)))
% 199.17/199.24 [9357]~P1(f317(f317(f224(a1),x93572),f317(x93573,x93574)))+P1(f317(f317(f224(a901),x93571),f439(x93572,x93573,x93574,x93571)))+P1(f317(f317(f224(a901),f438(x93572,x93573,x93574,x93571)),x93574))+~P1(f317(f317(f225(a901),x93571),x93574))+~P1(f317(f317(f224(a1),f317(x93573,x93571)),x93572))
% 199.17/199.24 [9358]~P1(f317(f317(f224(a1),x93582),f317(x93583,x93584)))+P1(f317(f317(f224(a901),x93581),f438(x93582,x93583,x93584,x93581)))+P1(f317(f317(f225(a901),f439(x93582,x93583,x93584,x93581)),x93584))+~P1(f317(f317(f225(a901),x93581),x93584))+~P1(f317(f317(f224(a1),f317(x93583,x93581)),x93582))
% 199.17/199.24 [9469]~P1(f317(f317(f224(a1),x94691),f317(x94692,x94693)))+P1(f317(f317(f225(a901),f439(x94691,x94692,x94693,x94694)),x94693))+~P1(f317(f317(f225(a901),x94694),x94693))+~P1(f317(f317(f224(a1),f317(x94692,x94694)),x94691))+P1(f317(f317(f224(a901),f438(x94691,x94692,x94693,x94694)),x94693))
% 199.17/199.24 [9558]E(x95581,f179(f907(x95582,a897)))+~P1(f317(f28(x95582),x95584))+~P1(f317(f28(x95582),x95581))+P1(f317(f317(f319(f906(f907(x95582,a897),f907(x95582,a897))),f317(f317(f242(f907(x95582,a897),f907(x95582,a897)),x95584),x95581)),f308(x95582,x95583)))+P1(f317(f317(f319(x95582),f520(x95583,x95581,x95584,x95582)),x95584))
% 199.17/199.24 [9559]E(x95591,f179(f907(x95592,a897)))+~P1(f317(f28(x95592),x95594))+~P1(f317(f28(x95592),x95591))+P1(f317(f317(f319(f906(f907(x95592,a897),f907(x95592,a897))),f317(f317(f242(f907(x95592,a897),f907(x95592,a897)),x95594),x95591)),f308(x95592,x95593)))+P1(f317(f317(f319(x95592),f591(x95593,x95591,x95594,x95592)),x95594))
% 199.17/199.24 [10247]E(f317(x102471,f438(x102472,x102471,x102473,x102474)),x102472)+~P1(f317(f317(f224(a1),x102472),f317(x102471,x102473)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f3(a1),f317(x102471,f317(f317(f74(a901),f439(x102472,x102471,x102473,x102474)),f72(a901)))),f317(x102471,f439(x102472,x102471,x102473,x102474))))),f72(a1)))+~P1(f317(f317(f225(a901),x102474),x102473))+~P1(f317(f317(f224(a1),f317(x102471,x102474)),x102472))
% 199.17/199.24 [10248]~P1(f317(f317(f224(a1),x102482),f317(x102483,x102484)))+P1(f317(f317(f224(a901),x102481),f438(x102482,x102483,x102484,x102481)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f3(a1),f317(x102483,f317(f317(f74(a901),f439(x102482,x102483,x102484,x102481)),f72(a901)))),f317(x102483,f439(x102482,x102483,x102484,x102481))))),f72(a1)))+~P1(f317(f317(f225(a901),x102481),x102484))+~P1(f317(f317(f224(a1),f317(x102483,x102481)),x102482))
% 199.17/199.24 [10249]~P1(f317(f317(f224(a1),x102491),f317(x102492,x102493)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f3(a1),f317(x102492,f317(f317(f74(a901),f439(x102491,x102492,x102493,x102494)),f72(a901)))),f317(x102492,f439(x102491,x102492,x102493,x102494))))),f72(a1)))+~P1(f317(f317(f225(a901),x102494),x102493))+~P1(f317(f317(f224(a1),f317(x102492,x102494)),x102491))+P1(f317(f317(f224(a901),f438(x102491,x102492,x102493,x102494)),x102493))
% 199.17/199.24 [7318]~P63(x73181)+P1(f317(f317(f225(x73181),x73182),f2(x73181)))+~P1(f317(f317(f224(x73181),x73183),f2(x73181)))+P1(f317(f317(f225(x73181),f2(x73181)),x73182))+P1(f317(f317(f224(x73181),x73183),f317(f317(f280(x73181),x73184),x73182)))
% 199.17/199.24 [7319]~P63(x73191)+P1(f317(f317(f225(x73191),x73192),f2(x73191)))+~P1(f317(f317(f225(x73191),x73193),f2(x73191)))+P1(f317(f317(f225(x73191),f2(x73191)),x73192))+P1(f317(f317(f225(x73191),x73193),f317(f317(f280(x73191),x73194),x73192)))
% 199.17/199.24 [7558]~P63(x75581)+P1(f317(f317(f224(x75581),x75582),f2(x75581)))+P1(f317(f317(f225(x75581),x75583),f2(x75581)))+P1(f317(f317(f225(x75581),f2(x75581)),x75583))+~P1(f317(f317(f224(x75581),x75582),f317(f317(f280(x75581),x75584),x75583)))
% 199.17/199.24 [7559]~P63(x75591)+P1(f317(f317(f225(x75591),x75592),f2(x75591)))+P1(f317(f317(f225(x75591),x75593),f2(x75591)))+P1(f317(f317(f225(x75591),f2(x75591)),x75593))+~P1(f317(f317(f225(x75591),x75592),f317(f317(f280(x75591),x75594),x75593)))
% 199.17/199.24 [7677]E(x76771,x76772)+~E(f317(f317(f154(x76773),x76774),x76771),f317(f317(f154(x76773),x76774),x76772))+~P1(f317(f127(x76773),x76774))+~P1(f317(f317(f225(a901),x76772),f317(f180(f902(x76773)),x76774)))+~P1(f317(f317(f225(a901),x76771),f317(f180(f902(x76773)),x76774)))
% 199.17/199.24 [8037]~P63(x80371)+~P1(f317(f317(f224(x80371),x80373),f2(x80371)))+P1(f317(f317(f225(x80371),f2(x80371)),x80372))+~P1(f317(f317(f224(x80371),x80374),f317(f317(f75(x80371),x80373),x80372)))+P1(f317(f317(f224(x80371),x80373),f317(f317(f280(x80371),x80374),x80372)))
% 199.17/199.24 [8038]~P63(x80381)+~P1(f317(f317(f225(x80381),x80383),f2(x80381)))+P1(f317(f317(f225(x80381),f2(x80381)),x80382))+~P1(f317(f317(f225(x80381),x80384),f317(f317(f75(x80381),x80383),x80382)))+P1(f317(f317(f225(x80381),x80383),f317(f317(f280(x80381),x80384),x80382)))
% 199.17/199.24 [8039]~P63(x80391)+~P1(f317(f317(f225(x80391),x80392),f2(x80391)))+P1(f317(f317(f225(x80391),f2(x80391)),x80392))+~P1(f317(f317(f224(x80391),x80394),f317(f317(f75(x80391),x80393),x80392)))+P1(f317(f317(f224(x80391),x80393),f317(f317(f280(x80391),x80394),x80392)))
% 199.17/199.24 [8040]~P63(x80401)+~P1(f317(f317(f225(x80401),x80402),f2(x80401)))+P1(f317(f317(f225(x80401),f2(x80401)),x80402))+~P1(f317(f317(f224(x80401),x80404),f317(f317(f280(x80401),x80403),x80402)))+P1(f317(f317(f224(x80401),x80403),f317(f317(f75(x80401),x80404),x80402)))
% 199.17/199.24 [8041]~P63(x80411)+~P1(f317(f317(f225(x80411),x80412),f2(x80411)))+P1(f317(f317(f225(x80411),f2(x80411)),x80412))+~P1(f317(f317(f225(x80411),x80414),f317(f317(f75(x80411),x80413),x80412)))+P1(f317(f317(f225(x80411),x80413),f317(f317(f280(x80411),x80414),x80412)))
% 199.17/199.24 [8042]~P63(x80421)+~P1(f317(f317(f225(x80421),x80422),f2(x80421)))+P1(f317(f317(f225(x80421),f2(x80421)),x80422))+~P1(f317(f317(f225(x80421),x80424),f317(f317(f280(x80421),x80423),x80422)))+P1(f317(f317(f225(x80421),x80423),f317(f317(f75(x80421),x80424),x80422)))
% 199.17/199.24 [8170]~P58(x81701)+~P1(f317(f317(f276(x81701),x81703),x81704))+~P1(f317(f317(f276(x81701),x81703),x81702))+~P1(f317(f317(f276(x81701),x81702),x81704))+P1(f317(f317(f276(x81701),f317(f317(f30(x81701),x81702),x81703)),f317(f317(f30(x81701),x81704),x81703)))
% 199.17/199.24 [8183]~P108(x81831)+~P11(x81831,x81832)+~P1(f317(f317(f224(a901),x81833),x81834))+P1(f317(f317(f224(x81831),f317(f317(f154(x81831),x81832),x81833)),f317(f317(f154(x81831),x81832),x81834)))+~P1(f317(f317(f225(a901),x81834),f317(f180(f902(x81831)),x81832)))
% 199.17/199.24 [8238]~P126(x82381)+~P1(f317(f317(f224(x82381),x82382),f72(x82381)))+~P1(f317(f317(f224(x82381),f2(x82381)),x82382))+~P1(f317(f317(f224(a901),x82384),x82383))+P1(f317(f317(f224(x82381),f317(f317(f234(x82381),x82382),x82383)),f317(f317(f234(x82381),x82382),x82384)))
% 199.17/199.24 [8239]~P126(x82391)+~P1(f317(f317(f225(x82391),x82392),f72(x82391)))+~P1(f317(f317(f225(x82391),f2(x82391)),x82392))+~P1(f317(f317(f225(a901),x82394),x82393))+P1(f317(f317(f225(x82391),f317(f317(f234(x82391),x82392),x82393)),f317(f317(f234(x82391),x82392),x82394)))
% 199.17/199.24 [8240]~P126(x82401)+~P1(f317(f317(f224(x82401),f2(x82401)),x82402))+~P1(f317(f317(f225(a901),f2(a901)),x82403))+~P1(f317(f317(f225(x82401),x82402),x82404))+P1(f317(f317(f225(x82401),f317(f317(f234(x82401),x82402),x82403)),f317(f317(f234(x82401),x82404),x82403)))
% 199.17/199.24 [8258]~P108(x82581)+~P11(x82581,f317(f158(x82581),x82582))+~P1(f317(f317(f224(a901),x82584),x82583))+P1(f317(f317(f224(x82581),f317(f317(f154(x82581),x82582),x82583)),f317(f317(f154(x82581),x82582),x82584)))+~P1(f317(f317(f225(a901),x82583),f317(f180(f902(x82581)),x82582)))
% 199.17/199.24 [8484]~P58(x84841)+P1(f317(f317(f276(x84841),x84842),x84843))+~P1(f317(f317(f276(x84841),x84844),x84843))+~P1(f317(f317(f276(x84841),x84844),x84842))+~P1(f317(f317(f276(x84841),f317(f317(f30(x84841),x84842),x84844)),f317(f317(f30(x84841),x84843),x84844)))
% 199.17/199.24 [8499]~P63(x84991)+~P1(f317(f317(f224(x84991),x84992),f2(x84991)))+~P1(f317(f317(f224(x84991),x84993),x84994))+~P1(f317(f317(f225(x84991),f2(x84991)),f317(f317(f75(x84991),x84993),x84994)))+P1(f317(f317(f224(x84991),f317(f317(f280(x84991),x84992),x84993)),f317(f317(f280(x84991),x84992),x84994)))
% 199.17/199.24 [8500]~P64(x85001)+~P1(f317(f317(f225(x85001),x85002),f2(x85001)))+~P1(f317(f317(f225(x85001),x85003),x85004))+~P1(f317(f317(f225(x85001),f2(x85001)),f317(f317(f75(x85001),x85003),x85004)))+P1(f317(f317(f225(x85001),f317(f317(f280(x85001),x85002),x85003)),f317(f317(f280(x85001),x85002),x85004)))
% 199.17/199.24 [8509]~P64(x85091)+~P1(f317(f317(f224(x85091),x85094),x85093))+~P1(f317(f317(f224(x85091),f2(x85091)),x85092))+~P1(f317(f317(f225(x85091),f2(x85091)),f317(f317(f75(x85091),x85093),x85094)))+P1(f317(f317(f224(x85091),f317(f317(f280(x85091),x85092),x85093)),f317(f317(f280(x85091),x85092),x85094)))
% 199.17/199.24 [8510]~P64(x85101)+~P1(f317(f317(f225(x85101),x85104),x85103))+~P1(f317(f317(f225(x85101),f2(x85101)),x85102))+~P1(f317(f317(f225(x85101),f2(x85101)),f317(f317(f75(x85101),x85103),x85104)))+P1(f317(f317(f225(x85101),f317(f317(f280(x85101),x85102),x85103)),f317(f317(f280(x85101),x85102),x85104)))
% 199.17/199.24 [8606]P1(f317(x86061,x86062))+~P1(f317(f28(x86064),x86062))+P1(f317(x86061,f468(x86061,x86063,x86062,x86064)))+~P1(f317(x86061,f179(f907(x86064,a897))))+~P1(f317(f317(f224(f907(x86064,a897)),x86062),x86063))
% 199.17/199.24 [8615]P1(f317(x86151,x86152))+P1(f317(f28(x86153),f468(x86151,x86154,x86152,x86153)))+~P1(f317(f28(x86153),x86152))+~P1(f317(x86151,f179(f907(x86153,a897))))+~P1(f317(f317(f224(f907(x86153,a897)),x86152),x86154))
% 199.17/199.24 [8878]E(f317(f317(f74(a1),f419(x88781,x88782,x88783,x88784)),f409(x88781,x88782,x88783,x88784)),x88784)+~P1(f317(f317(f225(a1),f2(a1)),x88783))+~P1(f317(f317(f225(a1),x88782),x88784))+~P1(f317(f317(f319(a1),x88782),x88781))+P1(f317(f317(f225(a1),x88782),f317(f317(f3(a1),x88784),x88783)))
% 199.17/199.24 [9096]~P1(f317(f317(f225(a1),f2(a1)),x90963))+~P1(f317(f317(f225(a1),x90962),x90964))+~P1(f317(f317(f319(a1),x90962),x90961))+P1(f317(f317(f319(a1),f419(x90961,x90962,x90963,x90964)),x90961))+P1(f317(f317(f225(a1),x90962),f317(f317(f3(a1),x90964),x90963)))
% 199.17/199.24 [9106]P1(f317(x91061,x91062))+~P1(f317(f28(x91063),x91062))+P1(f317(f317(f319(x91063),f457(x91061,x91064,x91062,x91063)),x91064))+~P1(f317(x91061,f179(f907(x91063,a897))))+~P1(f317(f317(f224(f907(x91063,a897)),x91062),x91064))
% 199.17/199.24 [9123]E(f317(f317(f74(a1),f396(x91231,x91232,x91233,x91234)),f397(x91231,x91232,x91233,x91234)),x91234)+~P1(f317(f317(f225(a1),f2(a1)),x91233))+~P1(f317(f317(f224(a1),x91232),x91234))+P1(f317(f317(f224(a1),x91232),f317(f317(f3(a1),x91234),x91233)))+~P1(f317(f317(f319(a1),f317(f317(f3(a1),x91232),f72(a1))),x91231))
% 199.17/199.24 [9171]~P1(f317(f317(f225(a1),f2(a1)),x91713))+~P1(f317(f317(f225(a1),x91711),x91712))+~P1(f317(f317(f319(a1),x91711),x91714))+P1(f317(f317(f319(a1),f409(x91714,x91711,x91713,x91712)),f294(a1,f72(a1),x91713)))+P1(f317(f317(f225(a1),x91711),f317(f317(f3(a1),x91712),x91713)))
% 199.17/199.24 [9191]~P72(x91912)+~E(f759(x91913,x91914,x91911,x91912),f760(x91913,x91914,x91911,x91912))+~P1(f317(f28(x91911),f761(x91913,x91914,x91911,x91912)))+E(f317(f317(f8(f907(x91911,a897),x91912),f317(f8(x91911,x91912),x91913)),x91914),f317(f317(f8(x91911,x91912),x91913),f31(f907(x91911,a897),x91914)))+~P1(f317(f28(f907(x91911,a897)),x91914))
% 199.17/199.24 [9195]~P72(x91952)+~E(f317(x91953,f762(x91953,x91954,x91951,x91952)),f2(x91952))+~P1(f317(f28(x91951),f761(x91953,x91954,x91951,x91952)))+E(f317(f317(f8(f907(x91951,a897),x91952),f317(f8(x91951,x91952),x91953)),x91954),f317(f317(f8(x91951,x91952),x91953),f31(f907(x91951,a897),x91954)))+~P1(f317(f28(f907(x91951,a897)),x91954))
% 199.17/199.24 [9266]~P1(f317(f317(f225(a1),f2(a1)),x92663))+~P1(f317(f317(f224(a1),x92662),x92664))+P1(f317(f317(f319(a1),f396(x92661,x92662,x92663,x92664)),x92661))+P1(f317(f317(f224(a1),x92662),f317(f317(f3(a1),x92664),x92663)))+~P1(f317(f317(f319(a1),f317(f317(f3(a1),x92662),f72(a1))),x92661))
% 199.17/199.24 [9314]~P1(f317(f317(f225(a1),f2(a1)),x93143))+~P1(f317(f317(f224(a1),x93141),x93142))+P1(f317(f317(f319(a1),f397(x93144,x93141,x93143,x93142)),f294(a1,f72(a1),x93143)))+P1(f317(f317(f224(a1),x93141),f317(f317(f3(a1),x93142),x93143)))+~P1(f317(f317(f319(a1),f317(f317(f3(a1),x93141),f72(a1))),x93144))
% 199.17/199.24 [9334]~P72(x93342)+~E(f759(x93343,x93344,x93341,x93342),f760(x93343,x93344,x93341,x93342))+E(f317(f317(f8(f907(x93341,a897),x93342),f317(f8(x93341,x93342),x93343)),x93344),f317(f317(f8(x93341,x93342),x93343),f31(f907(x93341,a897),x93344)))+P1(f317(f317(f319(f907(x93341,a897)),f761(x93343,x93344,x93341,x93342)),x93344))+~P1(f317(f28(f907(x93341,a897)),x93344))
% 199.17/199.24 [9341]~P72(x93412)+~E(f317(x93413,f762(x93413,x93414,x93411,x93412)),f2(x93412))+E(f317(f317(f8(f907(x93411,a897),x93412),f317(f8(x93411,x93412),x93413)),x93414),f317(f317(f8(x93411,x93412),x93413),f31(f907(x93411,a897),x93414)))+P1(f317(f317(f319(f907(x93411,a897)),f761(x93413,x93414,x93411,x93412)),x93414))+~P1(f317(f28(f907(x93411,a897)),x93414))
% 199.17/199.24 [9446]~P72(x94462)+~P1(f317(f28(x94461),f761(x94463,x94464,x94461,x94462)))+E(f317(f317(f8(f907(x94461,a897),x94462),f317(f8(x94461,x94462),x94463)),x94464),f317(f317(f8(x94461,x94462),x94463),f31(f907(x94461,a897),x94464)))+P1(f317(f317(f319(f907(x94461,a897)),f760(x94463,x94464,x94461,x94462)),x94464))+~P1(f317(f28(f907(x94461,a897)),x94464))
% 199.17/199.24 [9447]~P72(x94472)+~P1(f317(f28(x94471),f761(x94473,x94474,x94471,x94472)))+E(f317(f317(f8(f907(x94471,a897),x94472),f317(f8(x94471,x94472),x94473)),x94474),f317(f317(f8(x94471,x94472),x94473),f31(f907(x94471,a897),x94474)))+P1(f317(f317(f319(f907(x94471,a897)),f759(x94473,x94474,x94471,x94472)),x94474))+~P1(f317(f28(f907(x94471,a897)),x94474))
% 199.17/199.24 [9528]~P72(x95282)+E(f317(f317(f8(f907(x95281,a897),x95282),f317(f8(x95281,x95282),x95283)),x95284),f317(f317(f8(x95281,x95282),x95283),f31(f907(x95281,a897),x95284)))+P1(f317(f317(f319(f907(x95281,a897)),f761(x95283,x95284,x95281,x95282)),x95284))+P1(f317(f317(f319(f907(x95281,a897)),f760(x95283,x95284,x95281,x95282)),x95284))+~P1(f317(f28(f907(x95281,a897)),x95284))
% 199.17/199.24 [9529]~P72(x95292)+E(f317(f317(f8(f907(x95291,a897),x95292),f317(f8(x95291,x95292),x95293)),x95294),f317(f317(f8(x95291,x95292),x95293),f31(f907(x95291,a897),x95294)))+P1(f317(f317(f319(f907(x95291,a897)),f761(x95293,x95294,x95291,x95292)),x95294))+P1(f317(f317(f319(f907(x95291,a897)),f759(x95293,x95294,x95291,x95292)),x95294))+~P1(f317(f28(f907(x95291,a897)),x95294))
% 199.17/199.24 [9546]~P72(x95462)+P1(f317(f317(f319(x95461),f762(x95463,x95464,x95461,x95462)),f760(x95463,x95464,x95461,x95462)))+~P1(f317(f28(x95461),f761(x95463,x95464,x95461,x95462)))+E(f317(f317(f8(f907(x95461,a897),x95462),f317(f8(x95461,x95462),x95463)),x95464),f317(f317(f8(x95461,x95462),x95463),f31(f907(x95461,a897),x95464)))+~P1(f317(f28(f907(x95461,a897)),x95464))
% 199.17/199.24 [9547]~P72(x95472)+P1(f317(f317(f319(x95471),f762(x95473,x95474,x95471,x95472)),f759(x95473,x95474,x95471,x95472)))+~P1(f317(f28(x95471),f761(x95473,x95474,x95471,x95472)))+E(f317(f317(f8(f907(x95471,a897),x95472),f317(f8(x95471,x95472),x95473)),x95474),f317(f317(f8(x95471,x95472),x95473),f31(f907(x95471,a897),x95474)))+~P1(f317(f28(f907(x95471,a897)),x95474))
% 199.17/199.24 [9563]P1(f317(x95631,x95632))+~P1(f317(f317(f319(x95633),f457(x95631,x95634,x95632,x95633)),f468(x95631,x95634,x95632,x95633)))+~P1(f317(f28(x95633),x95632))+~P1(f317(x95631,f179(f907(x95633,a897))))+~P1(f317(f317(f224(f907(x95633,a897)),x95632),x95634))
% 199.17/199.24 [9599]~P72(x95992)+P1(f317(f317(f319(x95991),f762(x95993,x95994,x95991,x95992)),f760(x95993,x95994,x95991,x95992)))+E(f317(f317(f8(f907(x95991,a897),x95992),f317(f8(x95991,x95992),x95993)),x95994),f317(f317(f8(x95991,x95992),x95993),f31(f907(x95991,a897),x95994)))+P1(f317(f317(f319(f907(x95991,a897)),f761(x95993,x95994,x95991,x95992)),x95994))+~P1(f317(f28(f907(x95991,a897)),x95994))
% 199.17/199.24 [9600]~P72(x96002)+P1(f317(f317(f319(x96001),f762(x96003,x96004,x96001,x96002)),f759(x96003,x96004,x96001,x96002)))+E(f317(f317(f8(f907(x96001,a897),x96002),f317(f8(x96001,x96002),x96003)),x96004),f317(f317(f8(x96001,x96002),x96003),f31(f907(x96001,a897),x96004)))+P1(f317(f317(f319(f907(x96001,a897)),f761(x96003,x96004,x96001,x96002)),x96004))+~P1(f317(f28(f907(x96001,a897)),x96004))
% 199.17/199.24 [9801]P1(f317(x98011,x98012))+~P1(f317(f28(x98013),x98012))+~P1(f317(x98011,f317(f317(f299(x98013),f457(x98011,x98014,x98012,x98013)),f468(x98011,x98014,x98012,x98013))))+~P1(f317(x98011,f179(f907(x98013,a897))))+~P1(f317(f317(f224(f907(x98013,a897)),x98012),x98014))
% 199.17/199.24 [10118]~P109(x101183)+~P46(a901,x101183,f317(f317(f20(a901,f907(a901,a897),f907(a901,a897)),f317(f317(f10(f907(a901,f907(a897,a897)),f907(f907(a901,a897),f907(a901,a897)),a901),f20(a901,a897,a897)),f317(f317(f10(f907(a901,a897),f907(a901,f907(a897,a897)),a901),f317(f10(a897,f907(a897,a897),a901),a315)),f276(a901)))),f317(f317(f10(f907(a901,a897),f907(a901,a897),a901),f317(f10(a897,a897,a901),a312)),f317(f9(a901,a901,a897),f276(a901)))),x101184)+P1(f317(f317(f225(x101183),f317(x101184,x101182)),f317(x101184,x101181)))+~P1(f317(f317(f276(a901),x101182),x101181))+P1(f317(f317(f276(a901),x101181),x101182))
% 199.17/199.24 [7810]~P63(x78101)+P1(f317(f317(f225(x78101),x78102),f2(x78101)))+~P1(f317(f317(f224(x78101),f2(x78101)),x78104))+P1(f317(f317(f225(x78101),f2(x78101)),x78102))+P1(f317(f317(f224(x78101),f317(f317(f280(x78101),x78103),x78102)),x78104))
% 199.17/199.24 [7811]~P63(x78111)+P1(f317(f317(f225(x78111),x78112),f2(x78111)))+P1(f317(f317(f225(x78111),f2(x78111)),x78112))+~P1(f317(f317(f225(x78111),f2(x78111)),x78114))+P1(f317(f317(f225(x78111),f317(f317(f280(x78111),x78113),x78112)),x78114))
% 199.17/199.24 [8086]~P1(f317(f317(f224(a1),x80864),f2(a1)))+~E(x80862,f317(f317(f74(a1),f317(f317(f75(a1),x80861),x80863)),x80864))+P1(f317(f317(f225(a1),f2(a1)),x80861))+~P1(f317(f317(f225(a1),x80861),x80864))+P1(f317(f44(x80862,x80861),f317(f317(f242(a1,a1),x80863),x80864)))
% 199.17/199.24 [8120]~P1(f317(x81201,x81204))+P1(f317(x81201,f377(x81202,x81201,x81203)))+~P1(f317(f317(f224(a1),f2(a1)),x81202))+~P1(f317(f317(f225(a1),f2(a1)),x81203))+P1(f317(x81201,f317(f317(f3(a1),x81204),f317(f317(f75(a1),x81202),x81203))))
% 199.17/199.24 [8121]~P1(f317(x81211,x81214))+P1(f317(x81211,f389(x81212,x81211,x81213)))+~P1(f317(f317(f224(a1),f2(a1)),x81212))+~P1(f317(f317(f225(a1),f2(a1)),x81213))+P1(f317(x81211,f317(f317(f74(a1),x81214),f317(f317(f75(a1),x81212),x81213))))
% 199.17/199.24 [8122]~P63(x81221)+P1(f317(f317(f225(x81221),x81222),f2(x81221)))+P1(f317(f317(f225(x81221),f2(x81221)),x81222))+P1(f317(f317(f224(x81221),f2(x81221)),x81223))+~P1(f317(f317(f224(x81221),f317(f317(f280(x81221),x81224),x81222)),x81223))
% 199.17/199.24 [8123]~P63(x81231)+P1(f317(f317(f225(x81231),x81232),f2(x81231)))+P1(f317(f317(f225(x81231),f2(x81231)),x81232))+P1(f317(f317(f225(x81231),f2(x81231)),x81233))+~P1(f317(f317(f225(x81231),f317(f317(f280(x81231),x81234),x81232)),x81233))
% 199.17/199.24 [8178]~E(x81781,f317(f317(f74(a1),f317(f317(f75(a1),x81782),x81783)),x81784))+~P1(f317(f317(f224(a1),f2(a1)),x81784))+~P1(f317(f317(f225(a1),f2(a1)),x81782))+~P1(f317(f317(f225(a1),x81784),x81782))+P1(f317(f44(x81781,x81782),f317(f317(f242(a1,a1),x81783),x81784)))
% 199.17/199.24 [8297]~P63(x82971)+P1(f317(f317(f225(x82971),x82972),f2(x82971)))+~P1(f317(f317(f224(x82971),f2(x82971)),x82974))+~P1(f317(f317(f224(x82971),x82973),f317(f317(f75(x82971),x82974),x82972)))+P1(f317(f317(f224(x82971),f317(f317(f280(x82971),x82973),x82972)),x82974))
% 199.17/199.24 [8298]~P63(x82981)+P1(f317(f317(f225(x82981),x82982),f2(x82981)))+~P1(f317(f317(f225(x82981),f2(x82981)),x82984))+~P1(f317(f317(f225(x82981),x82983),f317(f317(f75(x82981),x82984),x82982)))+P1(f317(f317(f225(x82981),f317(f317(f280(x82981),x82983),x82982)),x82984))
% 199.17/199.24 [8381]~P63(x83811)+P1(f317(f317(f225(x83811),x83812),f2(x83811)))+~P1(f317(f317(f224(x83811),x83813),f2(x83811)))+P1(f317(f317(f224(x83811),x83813),f317(f317(f280(x83811),x83814),x83812)))+~P1(f317(f317(f224(x83811),f317(f317(f75(x83811),x83813),x83812)),x83814))
% 199.17/199.24 [8382]~P63(x83821)+P1(f317(f317(f225(x83821),x83822),f2(x83821)))+~P1(f317(f317(f225(x83821),x83823),f2(x83821)))+P1(f317(f317(f225(x83821),x83823),f317(f317(f280(x83821),x83824),x83822)))+~P1(f317(f317(f225(x83821),f317(f317(f75(x83821),x83823),x83822)),x83824))
% 199.17/199.24 [8529]~P63(x85291)+~P1(f317(f317(f225(x85291),x85292),f2(x85291)))+P1(f317(f317(f225(x85291),f2(x85291)),x85292))+~P1(f317(f317(f224(x85291),f317(f317(f280(x85291),x85294),x85292)),x85293))+P1(f317(f317(f224(x85291),f317(f317(f75(x85291),x85293),x85292)),x85294))
% 199.17/199.24 [8530]~P63(x85301)+~P1(f317(f317(f225(x85301),x85302),f2(x85301)))+P1(f317(f317(f225(x85301),f2(x85301)),x85302))+~P1(f317(f317(f224(x85301),f317(f317(f75(x85301),x85304),x85302)),x85303))+P1(f317(f317(f224(x85301),f317(f317(f280(x85301),x85303),x85302)),x85304))
% 199.17/199.24 [8531]~P63(x85311)+~P1(f317(f317(f225(x85311),x85312),f2(x85311)))+P1(f317(f317(f225(x85311),f2(x85311)),x85312))+~P1(f317(f317(f225(x85311),f317(f317(f280(x85311),x85314),x85312)),x85313))+P1(f317(f317(f225(x85311),f317(f317(f75(x85311),x85313),x85312)),x85314))
% 199.17/199.24 [8532]~P63(x85321)+~P1(f317(f317(f225(x85321),x85322),f2(x85321)))+P1(f317(f317(f225(x85321),f2(x85321)),x85322))+~P1(f317(f317(f225(x85321),f317(f317(f75(x85321),x85324),x85322)),x85323))+P1(f317(f317(f225(x85321),f317(f317(f280(x85321),x85323),x85322)),x85324))
% 199.17/199.24 [8549]~P63(x85491)+~P1(f317(f317(f224(x85491),f2(x85491)),x85494))+P1(f317(f317(f225(x85491),f2(x85491)),x85492))+~P1(f317(f317(f224(x85491),f317(f317(f75(x85491),x85494),x85492)),x85493))+P1(f317(f317(f224(x85491),f317(f317(f280(x85491),x85493),x85492)),x85494))
% 199.17/199.24 [8550]~P63(x85501)+~P1(f317(f317(f225(x85501),f2(x85501)),x85504))+P1(f317(f317(f225(x85501),f2(x85501)),x85502))+~P1(f317(f317(f225(x85501),f317(f317(f75(x85501),x85504),x85502)),x85503))+P1(f317(f317(f225(x85501),f317(f317(f280(x85501),x85503),x85502)),x85504))
% 199.17/199.24 [8627]~P63(x86271)+~P1(f317(f317(f225(x86271),x86274),f2(x86271)))+~P1(f317(f317(f224(x86271),x86273),f317(f317(f75(x86271),x86272),x86274)))+P1(f317(f317(f224(x86271),x86272),f317(f317(f280(x86271),x86273),x86274)))+~P1(f317(f317(f224(x86271),f317(f317(f75(x86271),x86272),x86274)),x86273))
% 199.17/199.24 [8628]~P63(x86281)+~P1(f317(f317(f224(x86281),x86282),f2(x86281)))+~P1(f317(f317(f224(x86281),x86283),f317(f317(f75(x86281),x86282),x86284)))+P1(f317(f317(f224(x86281),x86282),f317(f317(f280(x86281),x86283),x86284)))+~P1(f317(f317(f224(x86281),f317(f317(f75(x86281),x86282),x86284)),x86283))
% 199.17/199.24 [8629]~P63(x86291)+~P1(f317(f317(f225(x86291),x86294),f2(x86291)))+~P1(f317(f317(f225(x86291),x86293),f317(f317(f75(x86291),x86292),x86294)))+P1(f317(f317(f225(x86291),x86292),f317(f317(f280(x86291),x86293),x86294)))+~P1(f317(f317(f225(x86291),f317(f317(f75(x86291),x86292),x86294)),x86293))
% 199.17/199.24 [8630]~P63(x86301)+~P1(f317(f317(f225(x86301),x86302),f2(x86301)))+~P1(f317(f317(f225(x86301),x86303),f317(f317(f75(x86301),x86302),x86304)))+P1(f317(f317(f225(x86301),x86302),f317(f317(f280(x86301),x86303),x86304)))+~P1(f317(f317(f225(x86301),f317(f317(f75(x86301),x86302),x86304)),x86303))
% 199.17/199.24 [8751]~P63(x87511)+~P1(f317(f317(f225(x87511),x87513),f2(x87511)))+~P1(f317(f317(f224(x87511),x87512),f317(f317(f75(x87511),x87514),x87513)))+~P1(f317(f317(f224(x87511),f317(f317(f75(x87511),x87514),x87513)),x87512))+P1(f317(f317(f224(x87511),f317(f317(f280(x87511),x87512),x87513)),x87514))
% 199.17/199.24 [8752]~P63(x87521)+~P1(f317(f317(f225(x87521),x87523),f2(x87521)))+~P1(f317(f317(f225(x87521),x87522),f317(f317(f75(x87521),x87524),x87523)))+~P1(f317(f317(f225(x87521),f317(f317(f75(x87521),x87524),x87523)),x87522))+P1(f317(f317(f225(x87521),f317(f317(f280(x87521),x87522),x87523)),x87524))
% 199.17/199.24 [8764]~P63(x87641)+~P1(f317(f317(f224(x87641),f2(x87641)),x87644))+~P1(f317(f317(f224(x87641),x87642),f317(f317(f75(x87641),x87644),x87643)))+~P1(f317(f317(f224(x87641),f317(f317(f75(x87641),x87644),x87643)),x87642))+P1(f317(f317(f224(x87641),f317(f317(f280(x87641),x87642),x87643)),x87644))
% 199.17/199.24 [8765]~P63(x87651)+~P1(f317(f317(f225(x87651),f2(x87651)),x87654))+~P1(f317(f317(f225(x87651),x87652),f317(f317(f75(x87651),x87654),x87653)))+~P1(f317(f317(f225(x87651),f317(f317(f75(x87651),x87654),x87653)),x87652))+P1(f317(f317(f225(x87651),f317(f317(f280(x87651),x87652),x87653)),x87654))
% 199.17/199.24 [8948]E(f317(f317(f3(a1),f410(x89481,x89482,x89483,x89484)),f411(x89481,x89482,x89483,x89484)),x89484)+~P1(f317(f317(f225(a1),f2(a1)),x89483))+~P1(f317(f317(f319(a1),x89482),x89481))+~P1(f317(f317(f225(a1),x89484),x89482))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x89484),x89483)),x89482))
% 199.17/199.24 [9021]~P1(f317(x90211,x90212))+~P1(f317(f317(f224(a1),f2(a1)),x90213))+~P1(f317(f317(f225(a1),f2(a1)),x90214))+~P1(f317(x90211,f317(f317(f3(a1),f377(x90213,x90211,x90214)),x90214)))+P1(f317(x90211,f317(f317(f3(a1),x90212),f317(f317(f75(a1),x90213),x90214))))
% 199.17/199.24 [9022]~P1(f317(x90221,x90222))+~P1(f317(f317(f224(a1),f2(a1)),x90223))+~P1(f317(f317(f225(a1),f2(a1)),x90224))+~P1(f317(x90221,f317(f317(f74(a1),f389(x90223,x90221,x90224)),x90224)))+P1(f317(x90221,f317(f317(f74(a1),x90222),f317(f317(f75(a1),x90223),x90224))))
% 199.17/199.24 [9165]~P1(f317(f317(f225(a1),f2(a1)),x91653))+~P1(f317(f317(f319(a1),x91652),x91651))+~P1(f317(f317(f225(a1),x91654),x91652))+P1(f317(f317(f319(a1),f410(x91651,x91652,x91653,x91654)),x91651))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x91654),x91653)),x91652))
% 199.17/199.24 [9179]E(f317(f317(f3(a1),f398(x91791,x91792,x91793,x91794)),f399(x91791,x91792,x91793,x91794)),x91794)+~P1(f317(f317(f225(a1),f2(a1)),x91793))+~P1(f317(f317(f224(a1),x91794),x91792))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x91792),f72(a1))),x91791))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x91794),x91793)),x91792))
% 199.17/199.24 [9206]~P1(f317(f317(f225(a1),f2(a1)),x92062))+~P1(f317(f317(f319(a1),x92063),x92064))+~P1(f317(f317(f225(a1),x92061),x92063))+P1(f317(f317(f319(a1),f411(x92064,x92063,x92062,x92061)),f294(a1,f72(a1),x92062)))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x92061),x92062)),x92063))
% 199.17/199.24 [9306]~P1(f317(f317(f225(a1),f2(a1)),x93063))+~P1(f317(f317(f224(a1),x93064),x93062))+P1(f317(f317(f319(a1),f398(x93061,x93062,x93063,x93064)),x93061))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x93062),f72(a1))),x93061))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x93064),x93063)),x93062))
% 199.17/199.24 [9353]~P1(f317(f317(f225(a1),f2(a1)),x93532))+~P1(f317(f317(f224(a1),x93531),x93533))+P1(f317(f317(f319(a1),f399(x93534,x93533,x93532,x93531)),f294(a1,f72(a1),x93532)))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x93533),f72(a1))),x93534))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x93531),x93532)),x93533))
% 199.17/199.24 [9667]~P34(x96671,x96673)+~P24(x96671,x96674)+P34(x96671,f317(f317(f91(f907(f906(x96671,x96671),a897)),x96672),x96673))+~P1(f317(f317(f224(f907(f906(x96671,x96671),a897)),x96672),f317(f241(f907(f906(x96671,x96671),a897),f907(f906(x96671,x96671),a897)),x96674)))+~P1(f317(f317(f224(f907(f906(x96671,x96671),a897)),x96673),f317(f246(f907(f906(x96671,x96671),a897),f907(f906(x96671,x96671),a897)),x96674)))
% 199.17/199.24 [10065]~P16(x100652,x100654,x100653)+E(x100651,f179(f907(x100652,a897)))+~P1(f317(f28(x100652),x100651))+P1(f317(f317(f319(x100652),f317(x100653,x100651)),x100651))+~P1(f317(f317(f319(x100652),f317(f317(x100654,f433(x100651,x100653,x100654,x100652)),f446(x100651,x100653,x100654,x100652))),f317(f317(f299(x100652),f433(x100651,x100653,x100654,x100652)),f317(f317(f299(x100652),f446(x100651,x100653,x100654,x100652)),f179(f907(x100652,a897))))))
% 199.17/199.24 [9997]~P109(x99972)+~P60(x99971)+~P1(f317(f317(f224(f907(x99971,x99972)),x99973),x99974))+P1(f317(f317(f225(f907(x99971,x99972)),x99973),x99974))+~P1(f317(f51(x99971),f317(f317(f10(a897,a897,x99971),a312),f317(f317(f20(x99971,x99972,a897),f317(f317(f10(x99972,f907(x99972,a897),x99971),a314),x99973)),x99974))))
% 199.17/199.24 [9570]~P52(x95701,x95701,x95704)+P1(f317(f317(f319(f906(x95701,x95701)),f317(f317(f242(x95701,x95701),x95702),x95703)),f297(x95701,x95704)))+P1(f317(f317(f319(f906(x95701,x95701)),f317(f317(f242(x95701,x95701),x95703),x95702)),f297(x95701,x95704)))+~P1(f317(f317(f319(f906(x95701,x95701)),f317(f317(f242(x95701,x95701),x95705),x95702)),f297(x95701,x95704)))+~P1(f317(f317(f319(f906(x95701,x95701)),f317(f317(f242(x95701,x95701),x95705),x95703)),f297(x95701,x95704)))
% 199.17/199.24 [5698]E(x56981,f2(a901))+~E(f317(f29(x56982),x56985),x56981)+E(f317(f29(x56982),x56983),f317(a102,x56981))+~E(x56983,f317(f317(f299(x56982),x56984),x56985))+P1(f317(f317(f319(x56982),x56984),x56985))
% 199.17/199.24 [5820]~P62(x58202)+E(x58201,f2(x58202))+E(x58203,f2(x58202))+~E(f317(f317(f280(x58202),x58204),x58203),f317(f317(f280(x58202),x58205),x58201))+E(f317(f317(f75(x58202),x58204),x58201),f317(f317(f75(x58202),x58205),x58203))
% 199.17/199.24 [5821]~P62(x58212)+E(x58211,f2(x58212))+E(x58213,f2(x58212))+~E(f317(f317(f75(x58212),x58214),x58213),f317(f317(f75(x58212),x58215),x58211))+E(f317(f317(f280(x58212),x58214),x58211),f317(f317(f280(x58212),x58215),x58213))
% 199.17/199.24 [5899]~E(f317(f29(x58991),x58995),x58993)+~E(x58995,f179(f907(x58991,a897)))+E(f317(f29(x58991),x58992),f317(a102,x58993))+~E(x58992,f317(f317(f299(x58991),x58994),x58995))+P1(f317(f317(f319(x58991),x58994),x58995))
% 199.17/199.24 [6137]~P118(x61372)+~E(f317(x61373,x61375),f2(x61372))+E(f317(f317(f11(x61371,x61372),x61373),x61374),f2(x61372))+~P1(f317(f28(x61371),x61374))+~P1(f317(f317(f319(x61371),x61375),x61374))
% 199.17/199.24 [6515]~P108(x65153)+E(x65151,x65152)+~E(f317(f293(x65153,x65154),x65151),f317(f293(x65153,x65155),x65152))+~P1(f317(f317(f225(x65153),x65155),x65152))+~P1(f317(f317(f225(x65153),x65154),x65151))
% 199.17/199.24 [6516]~P108(x65163)+E(x65161,x65162)+~E(f317(f293(x65163,x65161),x65164),f317(f293(x65163,x65162),x65165))+~P1(f317(f317(f225(x65163),x65162),x65165))+~P1(f317(f317(f225(x65163),x65161),x65164))
% 199.17/199.24 [7575]~P108(x75751)+~P11(x75751,f317(f317(f124(x75751),x75754),x75755))+~P1(f317(f317(f319(x75751),x75753),f317(f162(x75751),x75755)))+~P1(f317(f317(f319(x75751),x75752),f317(f162(x75751),x75754)))+P1(f317(f317(f224(x75751),x75752),x75753))
% 199.17/199.24 [8664]~P109(x86641)+~P1(f317(f317(f225(f907(x86641,a897)),f294(x86641,x86645,x86642)),f294(x86641,x86644,x86643)))+~P1(f317(f317(f224(x86641),x86645),x86642))+P1(f317(f317(f225(x86641),x86642),x86643))+P1(f317(f317(f225(x86641),x86644),x86645))
% 199.17/199.24 [10098]~P15(x100982,x100985,x100983)+E(x100981,f179(f907(x100982,a897)))+~E(f317(f317(x100985,f317(x100984,f858(x100981,x100984,x100983,x100985,x100982))),f317(x100984,f865(x100981,x100984,x100983,x100985,x100982))),f317(x100984,f317(f317(x100985,f858(x100981,x100984,x100983,x100985,x100982)),f865(x100981,x100984,x100983,x100985,x100982))))+E(f317(x100983,f317(f300(x100982,x100982,x100984),x100981)),f317(x100984,f317(x100983,x100981)))+~P1(f317(f28(x100982),x100981))
% 199.17/199.24 [6512]~P16(x65122,x65125,x65123)+E(x65121,f179(f907(x65122,a897)))+~P1(f317(f28(x65122),x65121))+E(f317(x65123,f317(f317(f299(x65122),x65124),x65121)),f317(f317(x65125,x65124),f317(x65123,x65121)))+P1(f317(f317(f319(x65122),x65124),x65121))
% 199.17/199.24 [7346]~P15(x73462,x73463,x73464)+E(f317(f317(x73463,f317(x73464,x73461)),f317(x73464,x73465)),f317(x73464,x73465))+E(x73461,f179(f907(x73462,a897)))+~P1(f317(f28(x73462),x73465))+~P1(f317(f317(f224(f907(x73462,a897)),x73461),x73465))
% 199.17/199.24 [7710]~P16(x77104,x77105,x77101)+E(f317(x77101,x77102),x77103)+~P1(f317(f28(x77104),x77102))+~E(f317(f317(f3(f907(x77104,a897)),x77102),f317(f317(f299(x77104),x77103),f179(f907(x77104,a897)))),f179(f907(x77104,a897)))+~P1(f317(f317(f319(x77104),x77103),x77102))
% 199.17/199.24 [8582]~P79(x85821)+~P121(x85821)+~P1(f317(f28(x85822),x85825))+P1(f317(f317(f276(x85821),f317(f317(f11(x85822,x85821),x85823),x85824)),f317(f317(f11(x85822,x85821),x85823),x85825)))+~P1(f317(f317(f224(f907(x85822,a897)),x85824),x85825))
% 199.17/199.24 [8634]E(x86341,x86342)+~P6(x86343,x86344,x86345)+E(f317(f317(f92(f907(x86343,a897)),x86341),x86342),f179(f907(x86343,a897)))+~P1(f317(f317(f319(f907(x86343,a897)),x86342),f317(f317(f55(x86343),x86344),x86345)))+~P1(f317(f317(f319(f907(x86343,a897)),x86341),f317(f317(f55(x86343),x86344),x86345)))
% 199.17/199.24 [9439]~P72(x94392)+~E(f317(x94393,f350(x94393,x94394,x94395,x94391,x94392)),f2(x94392))+E(f317(f317(f8(x94391,x94392),x94393),x94394),f317(f317(f8(x94391,x94392),x94393),x94395))+~P1(f317(f28(x94391),x94395))+~P1(f317(f317(f224(f907(x94391,a897)),x94394),x94395))
% 199.17/199.24 [9440]~P72(x94402)+~E(f317(x94403,f351(x94403,x94404,x94405,x94401,x94402)),f2(x94402))+E(f317(f317(f8(x94401,x94402),x94403),x94404),f317(f317(f8(x94401,x94402),x94403),x94405))+~P1(f317(f28(x94401),x94405))+~P1(f317(f317(f224(f907(x94401,a897)),x94404),x94405))
% 199.17/199.24 [9441]~P79(x94412)+~E(f317(x94413,f882(x94413,x94414,x94415,x94411,x94412)),f72(x94412))+E(f317(f317(f11(x94411,x94412),x94413),x94414),f317(f317(f11(x94411,x94412),x94413),x94415))+~P1(f317(f28(x94411),x94415))+~P1(f317(f317(f224(f907(x94411,a897)),x94414),x94415))
% 199.17/199.24 [9442]~P79(x94422)+~E(f317(x94423,f887(x94423,x94424,x94425,x94421,x94422)),f72(x94422))+E(f317(f317(f11(x94421,x94422),x94423),x94424),f317(f317(f11(x94421,x94422),x94423),x94425))+~P1(f317(f28(x94421),x94425))+~P1(f317(f317(f224(f907(x94421,a897)),x94424),x94425))
% 199.17/199.24 [9955]~P92(x99551)+~P1(f317(f28(x99552),x99555))+~P1(f317(f317(f224(x99551),f2(x99551)),f317(x99553,f340(x99553,x99554,x99555,x99552,x99551))))+P1(f317(f317(f224(x99551),f317(f317(f8(x99552,x99551),x99553),x99554)),f317(f317(f8(x99552,x99551),x99553),x99555)))+~P1(f317(f317(f224(f907(x99552,a897)),x99554),x99555))
% 199.17/199.24 [7572]E(x75721,f2(a901))+P1(f317(x75722,x75723))+~E(x75724,f317(f317(f74(a901),f317(f317(f75(a901),x75721),x75723)),x75725))+~P1(f317(f317(f225(a901),x75725),x75721))+~P1(f317(x75722,f317(f317(f30(a901),x75724),x75721)))
% 199.17/199.24 [7651]E(x76511,f2(a901))+P1(f317(x76512,x76513))+~P1(f317(x76512,f40(a901,x76514,x76511)))+~E(x76514,f317(f317(f74(a901),f317(f317(f75(a901),x76511),x76515)),x76513))+~P1(f317(f317(f225(a901),x76513),x76511))
% 199.17/199.24 [7946]~P62(x79463)+E(f317(x79461,x79462),f2(x79463))+~P1(f317(f28(x79464),x79465))+E(f317(f317(f11(x79464,x79463),x79461),f317(f317(f3(f907(x79464,a897)),x79465),f317(f317(f299(x79464),x79462),f179(f907(x79464,a897))))),f317(f317(f11(x79464,x79463),x79461),x79465))+P1(f317(f317(f319(x79464),x79462),x79465))
% 199.17/199.24 [8336]~P72(x83361)+~P1(f317(f28(x83362),x83365))+~P1(f317(f28(x83362),x83364))+~E(f317(f317(f92(f907(x83362,a897)),x83364),x83365),f179(f907(x83362,a897)))+E(f317(f317(f74(x83361),f317(f317(f8(x83362,x83361),x83363),x83364)),f317(f317(f8(x83362,x83361),x83363),x83365)),f317(f317(f8(x83362,x83361),x83363),f317(f317(f91(f907(x83362,a897)),x83364),x83365)))
% 199.17/199.24 [8338]~P79(x83381)+~P1(f317(f28(x83382),x83385))+~P1(f317(f28(x83382),x83384))+~E(f317(f317(f92(f907(x83382,a897)),x83384),x83385),f179(f907(x83382,a897)))+E(f317(f317(f75(x83381),f317(f317(f11(x83382,x83381),x83383),x83384)),f317(f317(f11(x83382,x83381),x83383),x83385)),f317(f317(f11(x83382,x83381),x83383),f317(f317(f91(f907(x83382,a897)),x83384),x83385)))
% 199.17/199.24 [8437]~P62(x84373)+E(f317(x84371,x84372),f2(x84373))+~P1(f317(f28(x84374),x84375))+E(f317(f317(f11(x84374,x84373),x84371),f317(f317(f3(f907(x84374,a897)),x84375),f317(f317(f299(x84374),x84372),f179(f907(x84374,a897))))),f317(f317(f280(x84373),f317(f317(f11(x84374,x84373),x84371),x84375)),f317(x84371,x84372)))+~P1(f317(f317(f319(x84374),x84372),x84375))
% 199.17/199.24 [9148]~P6(x91481,x91485,x91484)+~E(f317(f317(f55(x91481),f317(f317(f299(x91481),x91482),f179(f907(x91481,a897)))),x91484),f317(f317(f55(x91481),f317(f317(f299(x91481),x91483),f179(f907(x91481,a897)))),x91484))+~P1(f317(f317(f319(x91481),x91483),x91485))+~P1(f317(f317(f319(x91481),x91482),x91485))+P1(f317(f317(f319(f906(x91481,x91481)),f317(f317(f242(x91481,x91481),x91482),x91483)),x91484))
% 199.17/199.24 [9164]~P6(x91641,x91645,x91643)+E(f317(f317(f55(x91641),f317(f317(f299(x91641),x91642),f179(f907(x91641,a897)))),x91643),f317(f317(f55(x91641),f317(f317(f299(x91641),x91644),f179(f907(x91641,a897)))),x91643))+~P1(f317(f317(f319(x91641),x91644),x91645))+~P1(f317(f317(f319(x91641),x91642),x91645))+~P1(f317(f317(f319(f906(x91641,x91641)),f317(f317(f242(x91641,x91641),x91642),x91644)),x91643))
% 199.17/199.24 [9468]~P79(x94681)+~P1(f317(f28(x94682),x94685))+~P1(f317(f28(x94682),x94684))+~E(f317(f317(f92(f907(x94682,a897)),x94684),x94685),f179(f907(x94682,a897)))+E(f317(f317(f75(x94681),f317(f317(f317(f59(x94681,x94682,f75(x94681)),x94683),f72(x94681)),x94684)),f317(f317(f317(f59(x94681,x94682,f75(x94681)),x94683),f72(x94681)),x94685)),f317(f317(f317(f59(x94681,x94682,f75(x94681)),x94683),f72(x94681)),f317(f317(f91(f907(x94682,a897)),x94684),x94685)))
% 199.17/199.24 [9479]~P72(x94791)+~E(f317(x94793,f339(x94793,x94795,x94794,x94792,x94791)),f2(x94791))+~P1(f317(f28(x94792),x94794))+~P1(f317(f28(x94792),x94795))+E(f317(f317(f74(x94791),f317(f317(f8(x94792,x94791),x94793),x94794)),f317(f317(f8(x94792,x94791),x94793),x94795)),f317(f317(f8(x94792,x94791),x94793),f317(f317(f91(f907(x94792,a897)),x94794),x94795)))
% 199.17/199.24 [9480]~P72(x94801)+~E(f317(x94803,f341(x94803,x94805,x94804,x94802,x94801)),f2(x94801))+~P1(f317(f28(x94802),x94804))+~P1(f317(f28(x94802),x94805))+E(f317(f317(f74(x94801),f317(f317(f8(x94802,x94801),x94803),x94804)),f317(f317(f8(x94802,x94801),x94803),x94805)),f317(f317(f8(x94802,x94801),x94803),f317(f317(f91(f907(x94802,a897)),x94804),x94805)))
% 199.17/199.24 [9481]~P79(x94811)+~E(f317(x94813,f883(x94813,x94815,x94814,x94812,x94811)),f72(x94811))+~P1(f317(f28(x94812),x94814))+~P1(f317(f28(x94812),x94815))+E(f317(f317(f75(x94811),f317(f317(f11(x94812,x94811),x94813),x94814)),f317(f317(f11(x94812,x94811),x94813),x94815)),f317(f317(f11(x94812,x94811),x94813),f317(f317(f91(f907(x94812,a897)),x94814),x94815)))
% 199.17/199.24 [9482]~P79(x94821)+~E(f317(x94823,f884(x94823,x94825,x94824,x94822,x94821)),f72(x94821))+~P1(f317(f28(x94822),x94824))+~P1(f317(f28(x94822),x94825))+E(f317(f317(f75(x94821),f317(f317(f11(x94822,x94821),x94823),x94824)),f317(f317(f11(x94822,x94821),x94823),x94825)),f317(f317(f11(x94822,x94821),x94823),f317(f317(f91(f907(x94822,a897)),x94824),x94825)))
% 199.17/199.24 [9708]~P79(x97081)+~E(f317(x97083,f889(x97083,x97085,x97084,x97082,x97081)),f72(x97081))+~P1(f317(f28(x97082),x97084))+~P1(f317(f28(x97082),x97085))+E(f317(f317(f75(x97081),f317(f317(f317(f59(x97081,x97082,f75(x97081)),x97083),f72(x97081)),x97084)),f317(f317(f317(f59(x97081,x97082,f75(x97081)),x97083),f72(x97081)),x97085)),f317(f317(f317(f59(x97081,x97082,f75(x97081)),x97083),f72(x97081)),f317(f317(f91(f907(x97082,a897)),x97084),x97085)))
% 199.17/199.24 [9830]~P72(x98302)+E(f317(f317(f8(x98301,x98302),x98303),x98304),f317(f317(f8(x98301,x98302),x98303),x98305))+~P1(f317(f28(x98301),x98305))+~P1(f317(f317(f224(f907(x98301,a897)),x98304),x98305))+P1(f317(f317(f319(x98301),f350(x98303,x98304,x98305,x98301,x98302)),f317(f317(f3(f907(x98301,a897)),x98305),x98304)))
% 199.17/199.24 [9831]~P72(x98312)+E(f317(f317(f8(x98311,x98312),x98313),x98314),f317(f317(f8(x98311,x98312),x98313),x98315))+~P1(f317(f28(x98311),x98315))+~P1(f317(f317(f224(f907(x98311,a897)),x98314),x98315))+P1(f317(f317(f319(x98311),f351(x98313,x98314,x98315,x98311,x98312)),f317(f317(f3(f907(x98311,a897)),x98315),x98314)))
% 199.17/199.24 [9832]~P79(x98322)+E(f317(f317(f11(x98321,x98322),x98323),x98324),f317(f317(f11(x98321,x98322),x98323),x98325))+~P1(f317(f28(x98321),x98325))+~P1(f317(f317(f224(f907(x98321,a897)),x98324),x98325))+P1(f317(f317(f319(x98321),f882(x98323,x98324,x98325,x98321,x98322)),f317(f317(f3(f907(x98321,a897)),x98325),x98324)))
% 199.17/199.24 [9833]~P79(x98332)+E(f317(f317(f11(x98331,x98332),x98333),x98334),f317(f317(f11(x98331,x98332),x98333),x98335))+~P1(f317(f28(x98331),x98335))+~P1(f317(f317(f224(f907(x98331,a897)),x98334),x98335))+P1(f317(f317(f319(x98331),f887(x98333,x98334,x98335,x98331,x98332)),f317(f317(f3(f907(x98331,a897)),x98335),x98334)))
% 199.17/199.24 [9853]~P72(x98531)+~P1(f317(f28(x98532),x98534))+~P1(f317(f28(x98532),x98535))+E(f317(f317(f74(x98531),f317(f317(f8(x98532,x98531),x98533),x98534)),f317(f317(f8(x98532,x98531),x98533),x98535)),f317(f317(f8(x98532,x98531),x98533),f317(f317(f91(f907(x98532,a897)),x98534),x98535)))+P1(f317(f317(f319(x98532),f339(x98533,x98535,x98534,x98532,x98531)),f317(f317(f92(f907(x98532,a897)),x98534),x98535)))
% 199.17/199.24 [9854]~P72(x98541)+~P1(f317(f28(x98542),x98544))+~P1(f317(f28(x98542),x98545))+E(f317(f317(f74(x98541),f317(f317(f8(x98542,x98541),x98543),x98544)),f317(f317(f8(x98542,x98541),x98543),x98545)),f317(f317(f8(x98542,x98541),x98543),f317(f317(f91(f907(x98542,a897)),x98544),x98545)))+P1(f317(f317(f319(x98542),f341(x98543,x98545,x98544,x98542,x98541)),f317(f317(f92(f907(x98542,a897)),x98544),x98545)))
% 199.17/199.24 [9855]~P79(x98551)+~P1(f317(f28(x98552),x98554))+~P1(f317(f28(x98552),x98555))+E(f317(f317(f75(x98551),f317(f317(f11(x98552,x98551),x98553),x98554)),f317(f317(f11(x98552,x98551),x98553),x98555)),f317(f317(f11(x98552,x98551),x98553),f317(f317(f91(f907(x98552,a897)),x98554),x98555)))+P1(f317(f317(f319(x98552),f883(x98553,x98555,x98554,x98552,x98551)),f317(f317(f92(f907(x98552,a897)),x98554),x98555)))
% 199.17/199.24 [9856]~P79(x98561)+~P1(f317(f28(x98562),x98564))+~P1(f317(f28(x98562),x98565))+E(f317(f317(f75(x98561),f317(f317(f11(x98562,x98561),x98563),x98564)),f317(f317(f11(x98562,x98561),x98563),x98565)),f317(f317(f11(x98562,x98561),x98563),f317(f317(f91(f907(x98562,a897)),x98564),x98565)))+P1(f317(f317(f319(x98562),f884(x98563,x98565,x98564,x98562,x98561)),f317(f317(f92(f907(x98562,a897)),x98564),x98565)))
% 199.17/199.24 [9862]~P92(x98625)+~P1(f317(f28(x98621),x98624))+P1(f317(f317(f224(x98625),f317(f317(f8(x98621,x98625),x98622),x98623)),f317(f317(f8(x98621,x98625),x98622),x98624)))+~P1(f317(f317(f224(f907(x98621,a897)),x98623),x98624))+P1(f317(f317(f319(x98621),f340(x98622,x98623,x98624,x98621,x98625)),f317(f317(f3(f907(x98621,a897)),x98624),x98623)))
% 199.17/199.24 [9916]~P79(x99161)+~P1(f317(f28(x99162),x99164))+~P1(f317(f28(x99162),x99165))+E(f317(f317(f75(x99161),f317(f317(f317(f59(x99161,x99162,f75(x99161)),x99163),f72(x99161)),x99164)),f317(f317(f317(f59(x99161,x99162,f75(x99161)),x99163),f72(x99161)),x99165)),f317(f317(f317(f59(x99161,x99162,f75(x99161)),x99163),f72(x99161)),f317(f317(f91(f907(x99162,a897)),x99164),x99165)))+P1(f317(f317(f319(x99162),f889(x99163,x99165,x99164,x99162,x99161)),f317(f317(f92(f907(x99162,a897)),x99164),x99165)))
% 199.17/199.24 [8835]~P16(x88351,x88354,x88355)+~P1(f317(f28(x88351),x88352))+E(f317(f317(f3(f907(x88351,a897)),x88352),f317(f317(f299(x88351),x88353),f179(f907(x88351,a897)))),f179(f907(x88351,a897)))+~P1(f317(f317(f319(x88351),x88353),x88352))+E(f317(f317(x88354,x88353),f317(x88355,f317(f317(f3(f907(x88351,a897)),x88352),f317(f317(f299(x88351),x88353),f179(f907(x88351,a897)))))),f317(x88355,x88352))
% 199.17/199.24 [8912]~P16(x89121,x89124,x89125)+~P1(f317(f28(x89121),x89123))+~P1(f317(f28(x89121),x89122))+E(f317(f317(f92(f907(x89121,a897)),x89122),x89123),f179(f907(x89121,a897)))+E(f317(f317(x89124,f317(x89125,f317(f317(f91(f907(x89121,a897)),x89122),x89123))),f317(x89125,f317(f317(f92(f907(x89121,a897)),x89122),x89123))),f317(f317(x89124,f317(x89125,x89122)),f317(x89125,x89123)))
% 199.17/199.24 [9484]~P1(f317(f317(f224(a1),x94844),f2(a1)))+~P1(f317(f317(f225(a1),x94843),x94845))+P1(f317(f317(f224(a1),x94841),x94842))+~P1(f317(f317(f225(a1),x94843),x94844))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f75(a1),x94843),x94842)),x94845)),f317(f317(f74(a1),f317(f317(f75(a1),x94843),x94841)),x94844)))
% 199.17/199.24 [9490]~P1(f317(f317(f224(a1),f2(a1)),x94905))+P1(f317(f317(f224(a1),x94901),x94902))+~P1(f317(f317(f225(a1),x94903),x94904))+~P1(f317(f317(f225(a1),x94905),x94904))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f75(a1),x94904),x94901)),x94905)),f317(f317(f74(a1),f317(f317(f75(a1),x94904),x94902)),x94903)))
% 199.17/199.24 [9606]~P62(x96065)+E(f317(x96061,f352(x96061,x96062,x96063,x96064,x96065)),f2(x96065))+~P1(f317(f28(x96064),x96063))+~P1(f317(f28(x96064),x96062))+E(f317(f317(f280(x96065),f317(f317(f75(x96065),f317(f317(f11(x96064,x96065),x96061),x96063)),f317(f317(f11(x96064,x96065),x96061),x96062))),f317(f317(f11(x96064,x96065),x96061),f317(f317(f92(f907(x96064,a897)),x96063),x96062))),f317(f317(f11(x96064,x96065),x96061),f317(f317(f91(f907(x96064,a897)),x96063),x96062)))
% 199.17/199.24 [9908]~P62(x99081)+~P1(f317(f28(x99082),x99084))+~P1(f317(f28(x99082),x99085))+E(f317(f317(f280(x99081),f317(f317(f75(x99081),f317(f317(f11(x99082,x99081),x99083),x99084)),f317(f317(f11(x99082,x99081),x99083),x99085))),f317(f317(f11(x99082,x99081),x99083),f317(f317(f92(f907(x99082,a897)),x99084),x99085))),f317(f317(f11(x99082,x99081),x99083),f317(f317(f91(f907(x99082,a897)),x99084),x99085)))+P1(f317(f317(f319(x99082),f352(x99083,x99085,x99084,x99082,x99081)),f317(f317(f92(f907(x99082,a897)),x99084),x99085)))
% 199.17/199.24 [9178]E(f317(f317(f124(x91781),x91782),x91783),f317(f317(f124(x91781),x91784),x91785))+~E(f317(f317(f165(x91781),f317(f180(f902(x91781)),x91784)),x91782),x91784)+~E(f317(f317(f165(x91781),f317(f180(f902(x91781)),x91782)),x91784),x91782)+~E(x91785,f317(f317(f124(x91781),f317(f317(f128(x91781),f317(f180(f902(x91781)),x91784)),x91782)),x91783))+~E(f317(f317(f124(x91781),f317(f317(f128(x91781),f317(f180(f902(x91781)),x91782)),x91784)),x91785),x91783)
% 199.17/199.24 [9603]~P108(x96032)+E(f317(f317(f138(x96031,x96032,x96033),x96034),f160(x96031,x96034,x96035)),x96035)+~P11(x96032,f317(f317(f144(x96031,x96032),x96033),x96035))+~P1(f317(f317(f319(x96031),x96034),f317(f162(x96031),x96035)))+~E(f317(f131(x96031),f317(f126(x96031,f317(f317(f10(x96032,a897,x96031),f317(a314,f317(x96033,x96034))),x96033)),x96035)),x96034)
% 199.17/199.24 [9973]~P76(x99731)+~P1(f317(f60(x99731,x99731,f75(x99731),x99732,x99733),x99735))+~P1(f317(f317(f319(x99731),x99734),x99733))+P1(f317(f317(f319(x99731),x99732),x99733))+P1(f317(f60(x99731,x99731,f75(x99731),x99734,f317(f317(f299(x99731),x99732),f317(f317(f3(f907(x99731,a897)),x99733),f317(f317(f299(x99731),x99734),f179(f907(x99731,a897)))))),x99735))
% 199.17/199.24 [7354]E(x73541,x73542)+~P22(x73544,x73545,x73543,x73546)+~E(f317(x73543,x73541),f317(x73543,x73542))+~P1(f317(f317(f319(x73544),x73542),x73546))+~P1(f317(f317(f319(x73544),x73541),x73546))
% 199.17/199.24 [6607]~P143(x66074)+E(x66071,x66072)+~E(x66075,x66076)+E(x66073,f2(x66074))+~E(f317(f317(f74(x66074),x66075),f317(f317(f75(x66074),x66073),x66071)),f317(f317(f74(x66074),x66076),f317(f317(f75(x66074),x66073),x66072)))
% 199.17/199.24 [7631]~P108(x76311)+~P3(x76311)+~P1(f317(f317(f225(x76311),x76312),f317(x76315,x76316)))+~P1(f317(f317(f319(x76313),x76316),x76314))+P1(f317(f317(f225(x76311),x76312),f317(f317(f35(x76313,x76311),x76314),x76315)))
% 199.17/199.24 [9969]~P22(x99692,x99691,x99693,x99694)+~P22(x99691,x99692,x99696,x99695)+P23(x99691,x99692,f807(x99693,x99694,x99695,x99696,x99692,x99691),x99695,x99694)+~P1(f317(f317(f224(f907(x99692,a897)),f317(f300(x99691,x99692,x99696),x99695)),x99694))+~P1(f317(f317(f224(f907(x99691,a897)),f317(f300(x99692,x99691,x99693),x99694)),x99695))
% 199.17/199.24 [8309]~P108(x83091)+~P3(x83091)+~P1(f317(f317(f225(x83091),f317(x83094,x83096)),x83095))+~P1(f317(f317(f319(x83092),x83096),x83093))+P1(f317(f317(f225(x83091),f317(f317(f34(x83092,x83091),x83093),x83094)),x83095))
% 199.17/199.24 [8556]~P17(x85562,x85565,x85566,x85561)+~P1(f317(f28(x85562),x85564))+~P1(f317(f28(x85562),x85563))+~E(f317(f317(f92(f907(x85562,a897)),x85563),x85564),f179(f907(x85562,a897)))+E(f317(x85561,f317(f317(f91(f907(x85562,a897)),x85563),x85564)),f317(f67(x85565,x85565,x85565,f317(x85561,x85563)),f317(x85561,x85564)))
% 199.17/199.24 [10156]~P79(x101561)+~E(f796(x101564,x101565,x101563,x101566,x101562,x101561),f797(x101564,x101565,x101563,x101566,x101562,x101561))+~P1(f317(f28(x101562),x101566))+E(f317(f317(f317(f59(x101561,x101562,f75(x101561)),f317(f317(f10(f907(x101563,a897),x101561,x101562),f317(f317(f59(x101561,x101563,f75(x101561)),x101564),f72(x101561))),x101565)),f72(x101561)),x101566),f317(f317(f317(f59(x101561,x101563,f75(x101561)),x101564),f72(x101561)),f317(f317(f35(x101562,f907(x101563,a897)),x101566),x101565)))+P1(f317(f317(f319(x101562),f795(x101564,x101565,x101563,x101566,x101562,x101561)),x101566))
% 199.17/199.24 [10182]~P79(x101821)+~E(f796(x101824,x101825,x101823,x101826,x101822,x101821),f797(x101824,x101825,x101823,x101826,x101822,x101821))+~P1(f317(f28(x101822),x101826))+E(f317(f317(f317(f59(x101821,x101822,f75(x101821)),f317(f317(f10(f907(x101823,a897),x101821,x101822),f317(f317(f59(x101821,x101823,f75(x101821)),x101824),f72(x101821))),x101825)),f72(x101821)),x101826),f317(f317(f317(f59(x101821,x101823,f75(x101821)),x101824),f72(x101821)),f317(f317(f35(x101822,f907(x101823,a897)),x101826),x101825)))+~P1(f317(f28(x101823),f317(x101825,f795(x101824,x101825,x101823,x101826,x101822,x101821))))
% 199.17/199.24 [10185]~P79(x101851)+~P1(f317(f28(x101852),x101856))+E(f317(f317(f317(f59(x101851,x101852,f75(x101851)),f317(f317(f10(f907(x101853,a897),x101851,x101852),f317(f317(f59(x101851,x101853,f75(x101851)),x101854),f72(x101851))),x101855)),f72(x101851)),x101856),f317(f317(f317(f59(x101851,x101853,f75(x101851)),x101854),f72(x101851)),f317(f317(f35(x101852,f907(x101853,a897)),x101856),x101855)))+P1(f317(f317(f319(x101852),f795(x101854,x101855,x101853,x101856,x101852,x101851)),x101856))+P1(f317(f317(f319(x101852),f797(x101854,x101855,x101853,x101856,x101852,x101851)),x101856))
% 199.17/199.24 [10186]~P79(x101861)+~P1(f317(f28(x101862),x101866))+E(f317(f317(f317(f59(x101861,x101862,f75(x101861)),f317(f317(f10(f907(x101863,a897),x101861,x101862),f317(f317(f59(x101861,x101863,f75(x101861)),x101864),f72(x101861))),x101865)),f72(x101861)),x101866),f317(f317(f317(f59(x101861,x101863,f75(x101861)),x101864),f72(x101861)),f317(f317(f35(x101862,f907(x101863,a897)),x101866),x101865)))+P1(f317(f317(f319(x101862),f795(x101864,x101865,x101863,x101866,x101862,x101861)),x101866))+P1(f317(f317(f319(x101862),f796(x101864,x101865,x101863,x101866,x101862,x101861)),x101866))
% 199.17/199.24 [10204]~P79(x102041)+~P1(f317(f28(x102042),x102046))+E(f317(f317(f317(f59(x102041,x102042,f75(x102041)),f317(f317(f10(f907(x102043,a897),x102041,x102042),f317(f317(f59(x102041,x102043,f75(x102041)),x102044),f72(x102041))),x102045)),f72(x102041)),x102046),f317(f317(f317(f59(x102041,x102043,f75(x102041)),x102044),f72(x102041)),f317(f317(f35(x102042,f907(x102043,a897)),x102046),x102045)))+P1(f317(f317(f319(x102042),f797(x102044,x102045,x102043,x102046,x102042,x102041)),x102046))+~P1(f317(f28(x102043),f317(x102045,f795(x102044,x102045,x102043,x102046,x102042,x102041))))
% 199.17/199.24 [10205]~P79(x102051)+~P1(f317(f28(x102052),x102056))+E(f317(f317(f317(f59(x102051,x102052,f75(x102051)),f317(f317(f10(f907(x102053,a897),x102051,x102052),f317(f317(f59(x102051,x102053,f75(x102051)),x102054),f72(x102051))),x102055)),f72(x102051)),x102056),f317(f317(f317(f59(x102051,x102053,f75(x102051)),x102054),f72(x102051)),f317(f317(f35(x102052,f907(x102053,a897)),x102056),x102055)))+P1(f317(f317(f319(x102052),f796(x102054,x102055,x102053,x102056,x102052,x102051)),x102056))+~P1(f317(f28(x102053),f317(x102055,f795(x102054,x102055,x102053,x102056,x102052,x102051))))
% 199.17/199.24 [10225]~P79(x102251)+~E(f317(f317(f92(f907(x102253,a897)),f317(x102255,f797(x102254,x102255,x102253,x102256,x102252,x102251))),f317(x102255,f796(x102254,x102255,x102253,x102256,x102252,x102251))),f179(f907(x102253,a897)))+~P1(f317(f28(x102252),x102256))+E(f317(f317(f317(f59(x102251,x102252,f75(x102251)),f317(f317(f10(f907(x102253,a897),x102251,x102252),f317(f317(f59(x102251,x102253,f75(x102251)),x102254),f72(x102251))),x102255)),f72(x102251)),x102256),f317(f317(f317(f59(x102251,x102253,f75(x102251)),x102254),f72(x102251)),f317(f317(f35(x102252,f907(x102253,a897)),x102256),x102255)))+P1(f317(f317(f319(x102252),f795(x102254,x102255,x102253,x102256,x102252,x102251)),x102256))
% 199.17/199.24 [10235]~P79(x102351)+~E(f317(f317(f92(f907(x102353,a897)),f317(x102355,f797(x102354,x102355,x102353,x102356,x102352,x102351))),f317(x102355,f796(x102354,x102355,x102353,x102356,x102352,x102351))),f179(f907(x102353,a897)))+~P1(f317(f28(x102352),x102356))+E(f317(f317(f317(f59(x102351,x102352,f75(x102351)),f317(f317(f10(f907(x102353,a897),x102351,x102352),f317(f317(f59(x102351,x102353,f75(x102351)),x102354),f72(x102351))),x102355)),f72(x102351)),x102356),f317(f317(f317(f59(x102351,x102353,f75(x102351)),x102354),f72(x102351)),f317(f317(f35(x102352,f907(x102353,a897)),x102356),x102355)))+~P1(f317(f28(x102353),f317(x102355,f795(x102354,x102355,x102353,x102356,x102352,x102351))))
% 199.17/199.24 [9276]~P121(x92761)+~P117(x92761)+~P1(f317(f317(f276(x92761),x92762),x92765))+~P1(f317(f317(f276(x92761),x92762),f317(f317(f74(x92761),x92763),x92766)))+P1(f317(f317(f276(x92761),x92762),f317(f317(f74(x92761),f317(f317(f3(x92761),x92763),f317(f317(f75(x92761),x92764),x92765))),x92766)))
% 199.17/199.24 [9473]~P121(x94731)+~P117(x94731)+~P1(f317(f317(f276(x94731),x94732),x94735))+P1(f317(f317(f276(x94731),x94732),f317(f317(f74(x94731),x94733),x94734)))+~P1(f317(f317(f276(x94731),x94732),f317(f317(f74(x94731),f317(f317(f3(x94731),x94733),f317(f317(f75(x94731),x94736),x94735))),x94734)))
% 199.17/199.24 [8882]E(x88821,x88822)+~P54(x88824,x88825,x88826,x88823,x88827)+~E(f317(x88823,x88821),f317(x88823,x88822))+~P1(f317(f317(f319(x88825),x88822),x88827))+~P1(f317(f317(f319(x88825),x88821),x88827))
% 199.17/199.24 [10193]~P1(f317(x101932,x101934))+~E(x101935,f317(f126(x101931,x101932),x101937))+E(f317(f126(x101931,x101932),x101933),f317(f317(f141(x101931),x101934),x101935))+~E(x101933,f317(f317(f124(x101931),x101936),f317(f317(f141(x101931),x101934),x101937)))+P1(f317(x101932,f729(x101935,x101934,x101933,x101932,x101931,x101936,x101937)))
% 199.17/199.24 [10194]~P1(f317(x101944,x101942))+~E(x101943,f317(f126(x101941,x101944),x101947))+E(f317(f317(f141(x101941),x101942),x101943),f317(f126(x101941,x101944),x101945))+~E(x101945,f317(f317(f124(x101941),x101946),f317(f317(f141(x101941),x101942),x101947)))+P1(f317(x101944,f730(x101945,x101944,x101943,x101942,x101941,x101946,x101947)))
% 199.17/199.24 [10250]~P1(f317(x102502,x102504))+~E(x102505,f317(f126(x102501,x102502),x102507))+E(f317(f126(x102501,x102502),x102503),f317(f317(f141(x102501),x102504),x102505))+~E(x102503,f317(f317(f124(x102501),x102506),f317(f317(f141(x102501),x102504),x102507)))+P1(f317(f317(f319(x102501),f729(x102505,x102504,x102503,x102502,x102501,x102506,x102507)),f317(f162(x102501),x102506)))
% 199.17/199.24 [10251]~P1(f317(x102514,x102512))+~E(x102513,f317(f126(x102511,x102514),x102517))+E(f317(f317(f141(x102511),x102512),x102513),f317(f126(x102511,x102514),x102515))+~E(x102515,f317(f317(f124(x102511),x102516),f317(f317(f141(x102511),x102512),x102517)))+P1(f317(f317(f319(x102511),f730(x102515,x102514,x102513,x102512,x102511,x102516,x102517)),f317(f162(x102511),x102516)))
% 199.17/199.24 [10256]~P6(x102561,x102567,x102566)+~P9(x102561,f907(x102565,a897),x102566,x102564)+P1(f317(f317(f319(x102561),f503(x102562,x102563,x102564,x102565,x102566,x102567,x102561)),x102567))+~P1(f317(f317(f319(f907(x102561,a897)),x102563),f317(f317(f55(x102561),x102567),x102566)))+P1(f317(f317(f319(f907(x102565,a897)),f317(f317(f35(x102561,f907(x102565,a897)),x102563),x102564)),x102562))
% 199.17/199.24 [10335]~P6(x103352,x103356,x103357)+~P9(x103352,f907(x103351,a897),x103357,x103354)+~P1(f317(f317(f319(f907(x103352,a897)),x103353),f317(f317(f55(x103352),x103356),x103357)))+~P1(f317(f317(f319(f907(x103351,a897)),f317(x103354,f503(x103355,x103353,x103354,x103351,x103357,x103356,x103352))),x103355))+P1(f317(f317(f319(f907(x103351,a897)),f317(f317(f35(x103352,f907(x103351,a897)),x103353),x103354)),x103355))
% 199.17/199.24 [8476]~P79(x84762)+~P22(x84761,x84765,x84768,x84764)+~E(x84763,f317(f67(x84765,x84762,x84761,x84766),x84768))+~E(x84767,f317(f300(x84761,x84765,x84768),x84764))+E(f317(f317(f11(x84761,x84762),x84763),x84764),f317(f317(f11(x84765,x84762),x84766),x84767))
% 199.17/199.24 [10344]~P79(x103442)+~P22(x103445,x103441,x103448,x103447)+~E(f317(x103446,f581(x103443,x103446,x103444,x103447,x103448,x103441,x103445,x103442)),f317(f317(f67(x103441,x103442,x103445,x103443),x103448),f581(x103443,x103446,x103444,x103447,x103448,x103441,x103445,x103442)))+~E(x103444,f317(f300(x103445,x103441,x103448),x103447))+E(f317(f317(f11(x103441,x103442),x103443),x103444),f317(f317(f11(x103445,x103442),x103446),x103447))
% 199.17/199.24 [10351]~P72(x103512)+~P22(x103511,x103515,x103518,x103514)+~E(x103517,f317(f300(x103511,x103515,x103518),x103514))+E(f317(f317(f8(x103511,x103512),x103513),x103514),f317(f317(f8(x103515,x103512),x103516),x103517))+P1(f317(f317(f319(x103511),f594(x103516,x103513,x103517,x103514,x103518,x103515,x103511,x103512)),x103514))
% 199.17/199.24 [10352]~P79(x103522)+~P22(x103521,x103525,x103528,x103524)+~E(x103527,f317(f300(x103521,x103525,x103528),x103524))+E(f317(f317(f11(x103521,x103522),x103523),x103524),f317(f317(f11(x103525,x103522),x103526),x103527))+P1(f317(f317(f319(x103521),f581(x103526,x103523,x103527,x103524,x103528,x103525,x103521,x103522)),x103524))
% 199.17/199.24 [10357]~P72(x103572)+~P22(x103575,x103571,x103578,x103577)+~E(x103574,f317(f300(x103575,x103571,x103578),x103577))+~E(f317(x103576,f594(x103573,x103576,x103574,x103577,x103578,x103571,x103575,x103572)),f317(x103573,f317(x103578,f594(x103573,x103576,x103574,x103577,x103578,x103571,x103575,x103572))))+E(f317(f317(f8(x103571,x103572),x103573),x103574),f317(f317(f8(x103575,x103572),x103576),x103577))
% 199.17/199.24 [9796]~P21(x97966,x97962,x97965,x97967,x97968,x97961)+~P1(f317(f28(x97962),x97964))+~P1(f317(f28(x97962),x97963))+~E(f317(f317(f92(f907(x97962,a897)),x97963),x97964),f179(f907(x97962,a897)))+E(f317(x97961,f317(f317(f91(f907(x97962,a897)),x97963),x97964)),f317(f317(x97965,f317(x97961,x97963)),f317(x97961,x97964)))
% 199.17/199.24 [10181]~P21(x101818,x101812,x101815,x101817,x101816,x101811)+~E(f317(x101816,f863(x101814,x101813,x101811,x101816,x101817,x101815,x101812)),x101817)+~P1(f317(f28(x101812),x101813))+~P1(f317(f28(x101812),x101814))+E(f317(x101811,f317(f317(f91(f907(x101812,a897)),x101813),x101814)),f317(f317(x101815,f317(x101811,x101813)),f317(x101811,x101814)))
% 199.17/199.24 [10263]~P21(x102638,x102632,x102635,x102637,x102636,x102631)+~P1(f317(f28(x102632),x102633))+~P1(f317(f28(x102632),x102634))+E(f317(x102631,f317(f317(f91(f907(x102632,a897)),x102633),x102634)),f317(f317(x102635,f317(x102631,x102633)),f317(x102631,x102634)))+P1(f317(f317(f319(x102632),f863(x102634,x102633,x102631,x102636,x102637,x102635,x102632)),f317(f317(f92(f907(x102632,a897)),x102633),x102634)))
% 199.17/199.24 [9960]~P6(x99604,x99608,x99605)+~P6(x99601,x99609,x99603)+~P10(x99601,x99604,f907(x99602,a897),x99603,x99605,x99607)+P9(x99601,f907(x99602,a897),x99603,f317(f317(f10(f907(x99604,f907(x99602,a897)),f907(x99602,a897),x99601),f317(f35(x99604,f907(x99602,a897)),f317(f274(x99604,x99604,x99605),f317(f317(f299(x99604),x99606),f179(f907(x99604,a897)))))),x99607))+~P1(f317(f317(f319(x99604),x99606),x99608))
% 199.17/199.24 [5494]~P108(x54943)+~P11(x54943,x54941)+E(x54941,f707(x54942,x54943))+~E(f317(f162(x54943),x54941),x54942)+~P1(f317(f28(x54943),x54942))+~P1(f317(f127(x54943),x54941))
% 199.17/199.24 [7345]P13(x73451,x73452)+~E(f317(x73452,f787(x73452)),f317(x73452,f789(x73452)))+~P1(f317(f317(x73452,f787(x73452)),f787(x73452)))+~P1(f317(f317(x73452,f787(x73452)),f789(x73452)))+~P1(f317(f317(x73452,f789(x73452)),f789(x73452)))+~P1(f317(f317(x73452,x73453),x73453))
% 199.17/199.24 [5119]~P132(x51192)+~P133(x51192)+~P144(x51192)+~P115(x51192)+E(x51191,f2(x51192))+~E(f317(f317(f234(x51192),x51191),x51193),f2(x51192))
% 199.17/199.24 [5120]~P132(x51202)+~P133(x51202)+~P144(x51202)+~P115(x51202)+~E(x51201,f2(a901))+~E(f317(f317(f234(x51202),x51203),x51201),f2(x51202))
% 199.17/199.24 [6589]~P92(x65891)+~E(x65893,f2(x65891))+~E(x65892,f2(x65891))+E(f317(f317(f74(x65891),x65892),x65893),f2(x65891))+~P1(f317(f317(f224(x65891),f2(x65891)),x65893))+~P1(f317(f317(f224(x65891),f2(x65891)),x65892))
% 199.17/199.24 [8953]~E(f317(f241(a901,a901),x89533),f2(a901))+~E(x89531,f317(f317(f74(a901),f317(f317(f75(a901),f317(f241(a901,a901),x89533)),x89532)),f317(f246(a901,a901),x89533)))+P1(f317(f43(x89531,x89532),x89533))+~P1(f317(f317(f224(a901),f317(f246(a901,a901),x89533)),f2(a901)))+P1(f317(f317(f225(a901),f2(a901)),x89532))+~P1(f317(f317(f225(a901),x89532),f317(f246(a901,a901),x89533)))
% 199.17/199.24 [8961]E(x89611,f2(a901))+~E(x89612,f317(f317(f74(a901),f317(f317(f75(a901),f317(f241(a901,a901),x89613)),x89611)),f317(f246(a901,a901),x89613)))+P1(f317(f43(x89612,x89611),x89613))+~P1(f317(f317(f225(a901),f2(a901)),x89611))+~P1(f317(f317(f224(a901),f2(a901)),f317(f246(a901,a901),x89613)))+~P1(f317(f317(f225(a901),f317(f246(a901,a901),x89613)),x89611))
% 199.17/199.24 [8979]~E(f317(f241(a901,a901),x89793),f2(a901))+~E(x89791,f317(f317(f74(a901),f317(f317(f75(a901),f317(f241(a901,a901),x89793)),x89792)),f317(f246(a901,a901),x89793)))+P1(f317(f43(x89791,x89792),x89793))+~P1(f317(f317(f225(a901),f2(a901)),x89792))+~P1(f317(f317(f224(a901),f2(a901)),f317(f246(a901,a901),x89793)))+~P1(f317(f317(f225(a901),f317(f246(a901,a901),x89793)),x89792))
% 199.17/199.24 [6969]~P108(x69692)+E(x69691,f179(f907(x69692,a897)))+E(x69693,f179(f907(x69692,a897)))+~P1(f317(f28(x69692),x69691))+~P1(f317(f28(x69692),x69693))+E(f16(x69692,f317(f317(f91(f907(x69692,a897)),x69693),x69691)),f317(f317(f178(x69692),f16(x69692,x69693)),f16(x69692,x69691)))
% 199.17/199.24 [6970]~P108(x69702)+E(x69701,f179(f907(x69702,a897)))+E(x69703,f179(f907(x69702,a897)))+~P1(f317(f28(x69702),x69701))+~P1(f317(f28(x69702),x69703))+E(f17(x69702,f317(f317(f91(f907(x69702,a897)),x69703),x69701)),f317(f317(f228(x69702),f17(x69702,x69703)),f17(x69702,x69701)))
% 199.17/199.24 [6971]~P68(x69712)+E(x69711,f179(f907(x69712,a897)))+E(x69713,f179(f907(x69712,a897)))+~P1(f317(f28(x69712),x69711))+~P1(f317(f28(x69712),x69713))+E(f12(x69712,f317(f317(f91(f907(x69712,a897)),x69713),x69711)),f317(f317(f91(x69712),f12(x69712,x69713)),f12(x69712,x69711)))
% 199.17/199.24 [6972]~P68(x69722)+E(x69721,f179(f907(x69722,a897)))+E(x69723,f179(f907(x69722,a897)))+~P1(f317(f28(x69722),x69721))+~P1(f317(f28(x69722),x69723))+E(f13(x69722,f317(f317(f91(f907(x69722,a897)),x69723),x69721)),f317(f317(f92(x69722),f13(x69722,x69723)),f13(x69722,x69721)))
% 199.17/199.24 [7605]~P99(x76052)+E(x76051,f179(f907(x76052,a897)))+E(x76053,f179(f907(x76052,a897)))+~P1(f317(f28(x76052),x76051))+~P1(f317(f28(x76052),x76053))+E(f317(f317(f75(x76052),f317(f57(x76052,f75(x76052)),x76053)),f317(f57(x76052,f75(x76052)),x76051)),f317(f57(x76052,f75(x76052)),f317(f317(f91(f907(x76052,a897)),x76053),x76051)))
% 199.17/199.24 [7764]~P108(x77642)+E(x77641,f179(f907(x77642,a897)))+E(x77643,f179(f907(x77642,a897)))+~P1(f317(f28(x77642),x77641))+~P1(f317(f28(x77642),x77643))+E(f317(f317(f178(x77642),f14(x77642,f178(x77642),x77643)),f14(x77642,f178(x77642),x77641)),f14(x77642,f178(x77642),f317(f317(f91(f907(x77642,a897)),x77643),x77641)))
% 199.17/199.24 [7765]~P108(x77652)+E(x77651,f179(f907(x77652,a897)))+E(x77653,f179(f907(x77652,a897)))+~P1(f317(f28(x77652),x77651))+~P1(f317(f28(x77652),x77653))+E(f317(f317(f228(x77652),f15(x77652,f228(x77652),x77653)),f15(x77652,f228(x77652),x77651)),f15(x77652,f228(x77652),f317(f317(f91(f907(x77652,a897)),x77653),x77651)))
% 199.17/199.24 [8785]~P1(f317(x87851,x87853))+P1(f317(x87851,f424(x87851,x87852)))+P1(f317(x87851,f416(x87851,x87852)))+~P1(f317(f317(f225(a1),f2(a1)),x87852))+~P1(f317(f317(f319(a1),x87853),f294(a1,f72(a1),x87852)))+P1(f317(x87851,f317(f317(f3(a1),f416(x87851,x87852)),f317(f317(f75(a1),f423(x87851,x87852)),x87852))))
% 199.17/199.24 [9089]~P1(f317(x90891,x90893))+~P1(f317(x90891,f416(x90891,x90892)))+P1(f317(x90891,f424(x90891,x90892)))+~P1(f317(f317(f225(a1),f2(a1)),x90892))+~P1(f317(f317(f319(a1),x90893),f294(a1,f72(a1),x90892)))+~P1(f317(x90891,f317(f317(f3(a1),f416(x90891,x90892)),f317(f317(f75(a1),f423(x90891,x90892)),x90892))))
% 199.17/199.24 [10393]~P101(x103932)+E(x103931,f179(f907(x103932,a897)))+E(x103933,f179(f907(x103932,a897)))+~P1(f317(f28(x103932),x103931))+~P1(f317(f28(x103932),x103933))+E(f13(x103932,f317(f252(x103932),f317(f317(f10(f907(x103932,a897),a897,x103932),f80(x103932)),f317(f317(f10(f907(x103932,f907(x103932,a897)),f907(x103932,a897),x103932),f317(f10(f907(x103932,a897),a897,x103932),f80(x103932))),f317(f317(f9(x103932,f907(x103932,f907(x103932,a897)),f907(x103932,f907(x103932,a897))),f317(f317(f10(f907(x103932,f907(f907(x103932,a897),f907(x103932,a897))),f907(f907(x103932,f907(x103932,a897)),f907(x103932,f907(x103932,a897))),x103932),f20(x103932,f907(x103932,a897),f907(x103932,a897))),f317(f317(f10(f907(x103932,f907(x103932,f907(a897,a897))),f907(x103932,f907(f907(x103932,a897),f907(x103932,a897))),x103932),f317(f10(f907(x103932,f907(a897,a897)),f907(f907(x103932,a897),f907(x103932,a897)),x103932),f20(x103932,a897,a897))),f317(f317(f10(f907(x103932,f907(x103932,a897)),f907(x103932,f907(x103932,f907(a897,a897))),x103932),f317(f10(f907(x103932,a897),f907(x103932,f907(a897,a897)),x103932),f317(f10(a897,f907(a897,a897),x103932),a315))),f317(f317(f9(x103932,f907(x103932,f907(x103932,x103932)),f907(x103932,f907(x103932,a897))),f317(f317(f10(f907(f907(x103932,x103932),f907(x103932,a897)),f907(f907(x103932,f907(x103932,x103932)),f907(x103932,f907(x103932,a897))),x103932),f10(f907(x103932,x103932),f907(x103932,a897),x103932)),f317(f317(f10(f907(x103932,a897),f907(f907(x103932,x103932),f907(x103932,a897)),x103932),f10(x103932,a897,x103932)),a314))),f91(x103932)))))),f317(f317(f9(x103932,f907(x103932,a897),f907(x103932,a897)),f317(f317(f10(f907(a897,a897),f907(f907(x103932,a897),f907(x103932,a897)),x103932),f10(a897,a897,x103932)),f317(f317(f10(a897,f907(a897,a897),x103932),a315),f317(f317(f9(x103932,f907(x103932,a897),a897),f319(x103932)),x103933)))),f317(f317(f9(x103932,f907(x103932,a897),a897),f319(x103932)),x103931))))))),f317(f317(f91(x103932),f13(x103932,x103933)),f13(x103932,x103931)))
% 199.17/199.24 [10394]~P101(x103942)+E(x103941,f179(f907(x103942,a897)))+E(x103943,f179(f907(x103942,a897)))+~P1(f317(f28(x103942),x103941))+~P1(f317(f28(x103942),x103943))+E(f12(x103942,f317(f252(x103942),f317(f317(f10(f907(x103942,a897),a897,x103942),f80(x103942)),f317(f317(f10(f907(x103942,f907(x103942,a897)),f907(x103942,a897),x103942),f317(f10(f907(x103942,a897),a897,x103942),f80(x103942))),f317(f317(f9(x103942,f907(x103942,f907(x103942,a897)),f907(x103942,f907(x103942,a897))),f317(f317(f10(f907(x103942,f907(f907(x103942,a897),f907(x103942,a897))),f907(f907(x103942,f907(x103942,a897)),f907(x103942,f907(x103942,a897))),x103942),f20(x103942,f907(x103942,a897),f907(x103942,a897))),f317(f317(f10(f907(x103942,f907(x103942,f907(a897,a897))),f907(x103942,f907(f907(x103942,a897),f907(x103942,a897))),x103942),f317(f10(f907(x103942,f907(a897,a897)),f907(f907(x103942,a897),f907(x103942,a897)),x103942),f20(x103942,a897,a897))),f317(f317(f10(f907(x103942,f907(x103942,a897)),f907(x103942,f907(x103942,f907(a897,a897))),x103942),f317(f10(f907(x103942,a897),f907(x103942,f907(a897,a897)),x103942),f317(f10(a897,f907(a897,a897),x103942),a315))),f317(f317(f9(x103942,f907(x103942,f907(x103942,x103942)),f907(x103942,f907(x103942,a897))),f317(f317(f10(f907(f907(x103942,x103942),f907(x103942,a897)),f907(f907(x103942,f907(x103942,x103942)),f907(x103942,f907(x103942,a897))),x103942),f10(f907(x103942,x103942),f907(x103942,a897),x103942)),f317(f317(f10(f907(x103942,a897),f907(f907(x103942,x103942),f907(x103942,a897)),x103942),f10(x103942,a897,x103942)),a314))),f92(x103942)))))),f317(f317(f9(x103942,f907(x103942,a897),f907(x103942,a897)),f317(f317(f10(f907(a897,a897),f907(f907(x103942,a897),f907(x103942,a897)),x103942),f10(a897,a897,x103942)),f317(f317(f10(a897,f907(a897,a897),x103942),a315),f317(f317(f9(x103942,f907(x103942,a897),a897),f319(x103942)),x103943)))),f317(f317(f9(x103942,f907(x103942,a897),a897),f319(x103942)),x103941))))))),f317(f317(f92(x103942),f12(x103942,x103943)),f12(x103942,x103941)))
% 199.17/199.24 [10395]~P108(x103952)+E(x103951,f179(f907(x103952,a897)))+E(x103953,f179(f907(x103952,a897)))+~P1(f317(f28(x103952),x103951))+~P1(f317(f28(x103952),x103953))+E(f14(x103952,f178(x103952),f317(f252(x103952),f317(f317(f10(f907(x103952,a897),a897,x103952),f80(x103952)),f317(f317(f10(f907(x103952,f907(x103952,a897)),f907(x103952,a897),x103952),f317(f10(f907(x103952,a897),a897,x103952),f80(x103952))),f317(f317(f9(x103952,f907(x103952,f907(x103952,a897)),f907(x103952,f907(x103952,a897))),f317(f317(f10(f907(x103952,f907(f907(x103952,a897),f907(x103952,a897))),f907(f907(x103952,f907(x103952,a897)),f907(x103952,f907(x103952,a897))),x103952),f20(x103952,f907(x103952,a897),f907(x103952,a897))),f317(f317(f10(f907(x103952,f907(x103952,f907(a897,a897))),f907(x103952,f907(f907(x103952,a897),f907(x103952,a897))),x103952),f317(f10(f907(x103952,f907(a897,a897)),f907(f907(x103952,a897),f907(x103952,a897)),x103952),f20(x103952,a897,a897))),f317(f317(f10(f907(x103952,f907(x103952,a897)),f907(x103952,f907(x103952,f907(a897,a897))),x103952),f317(f10(f907(x103952,a897),f907(x103952,f907(a897,a897)),x103952),f317(f10(a897,f907(a897,a897),x103952),a315))),f317(f317(f9(x103952,f907(x103952,f907(x103952,x103952)),f907(x103952,f907(x103952,a897))),f317(f317(f10(f907(f907(x103952,x103952),f907(x103952,a897)),f907(f907(x103952,f907(x103952,x103952)),f907(x103952,f907(x103952,a897))),x103952),f10(f907(x103952,x103952),f907(x103952,a897),x103952)),f317(f317(f10(f907(x103952,a897),f907(f907(x103952,x103952),f907(x103952,a897)),x103952),f10(x103952,a897,x103952)),a314))),f228(x103952)))))),f317(f317(f9(x103952,f907(x103952,a897),f907(x103952,a897)),f317(f317(f10(f907(a897,a897),f907(f907(x103952,a897),f907(x103952,a897)),x103952),f10(a897,a897,x103952)),f317(f317(f10(a897,f907(a897,a897),x103952),a315),f317(f317(f9(x103952,f907(x103952,a897),a897),f319(x103952)),x103953)))),f317(f317(f9(x103952,f907(x103952,a897),a897),f319(x103952)),x103951))))))),f317(f317(f228(x103952),f14(x103952,f178(x103952),x103953)),f14(x103952,f178(x103952),x103951)))
% 199.17/199.24 [10396]~P108(x103962)+E(x103961,f179(f907(x103962,a897)))+E(x103963,f179(f907(x103962,a897)))+~P1(f317(f28(x103962),x103961))+~P1(f317(f28(x103962),x103963))+E(f15(x103962,f228(x103962),f317(f252(x103962),f317(f317(f10(f907(x103962,a897),a897,x103962),f80(x103962)),f317(f317(f10(f907(x103962,f907(x103962,a897)),f907(x103962,a897),x103962),f317(f10(f907(x103962,a897),a897,x103962),f80(x103962))),f317(f317(f9(x103962,f907(x103962,f907(x103962,a897)),f907(x103962,f907(x103962,a897))),f317(f317(f10(f907(x103962,f907(f907(x103962,a897),f907(x103962,a897))),f907(f907(x103962,f907(x103962,a897)),f907(x103962,f907(x103962,a897))),x103962),f20(x103962,f907(x103962,a897),f907(x103962,a897))),f317(f317(f10(f907(x103962,f907(x103962,f907(a897,a897))),f907(x103962,f907(f907(x103962,a897),f907(x103962,a897))),x103962),f317(f10(f907(x103962,f907(a897,a897)),f907(f907(x103962,a897),f907(x103962,a897)),x103962),f20(x103962,a897,a897))),f317(f317(f10(f907(x103962,f907(x103962,a897)),f907(x103962,f907(x103962,f907(a897,a897))),x103962),f317(f10(f907(x103962,a897),f907(x103962,f907(a897,a897)),x103962),f317(f10(a897,f907(a897,a897),x103962),a315))),f317(f317(f9(x103962,f907(x103962,f907(x103962,x103962)),f907(x103962,f907(x103962,a897))),f317(f317(f10(f907(f907(x103962,x103962),f907(x103962,a897)),f907(f907(x103962,f907(x103962,x103962)),f907(x103962,f907(x103962,a897))),x103962),f10(f907(x103962,x103962),f907(x103962,a897),x103962)),f317(f317(f10(f907(x103962,a897),f907(f907(x103962,x103962),f907(x103962,a897)),x103962),f10(x103962,a897,x103962)),a314))),f178(x103962)))))),f317(f317(f9(x103962,f907(x103962,a897),f907(x103962,a897)),f317(f317(f10(f907(a897,a897),f907(f907(x103962,a897),f907(x103962,a897)),x103962),f10(a897,a897,x103962)),f317(f317(f10(a897,f907(a897,a897),x103962),a315),f317(f317(f9(x103962,f907(x103962,a897),a897),f319(x103962)),x103963)))),f317(f317(f9(x103962,f907(x103962,a897),a897),f319(x103962)),x103961))))))),f317(f317(f178(x103962),f15(x103962,f228(x103962),x103963)),f15(x103962,f228(x103962),x103961)))
% 199.17/199.24 [7301]~P126(x73013)+E(x73011,x73012)+~E(f317(f317(f234(x73013),x73011),x73014),f317(f317(f234(x73013),x73012),x73014))+~P1(f317(f317(f224(x73013),f2(x73013)),x73012))+~P1(f317(f317(f224(x73013),f2(x73013)),x73011))+~P1(f317(f317(f225(a901),f2(a901)),x73014))
% 199.17/199.24 [7564]~P108(x75642)+E(x75641,f179(f907(x75642,a897)))+~P1(f317(f28(x75642),x75641))+~P1(f317(f317(f319(x75642),x75644),x75641))+P1(f317(f317(f224(x75642),x75643),x75644))+~P1(f317(f317(f224(x75642),x75643),f317(f57(x75642,f228(x75642)),x75641)))
% 199.17/199.24 [7565]~P103(x75652)+E(x75651,f179(f907(x75652,a897)))+~P1(f317(f28(x75652),x75651))+~P1(f317(f317(f319(x75652),x75654),x75651))+P1(f317(f317(f224(x75652),x75653),x75654))+~P1(f317(f317(f224(x75652),x75653),f317(f57(x75652,f92(x75652)),x75651)))
% 199.17/199.24 [7566]~P108(x75662)+E(x75661,f179(f907(x75662,a897)))+~P1(f317(f28(x75662),x75661))+~P1(f317(f317(f319(x75662),x75664),x75661))+P1(f317(f317(f225(x75662),x75663),x75664))+~P1(f317(f317(f225(x75662),x75663),f317(f57(x75662,f228(x75662)),x75661)))
% 199.17/199.24 [7472]E(x74721,f2(a1))+E(f317(f317(f30(a1),x74722),x74721),x74723)+~P1(f317(f317(f224(a1),x74724),f2(a1)))+~E(x74722,f317(f317(f74(a1),f317(f317(f75(a1),x74721),x74723)),x74724))+P1(f317(f317(f225(a1),f2(a1)),x74721))+~P1(f317(f317(f225(a1),x74721),x74724))
% 199.17/199.24 [7488]E(f40(a1,x74882,x74881),x74883)+E(x74881,f2(a1))+~P1(f317(f317(f224(a1),x74883),f2(a1)))+~E(x74882,f317(f317(f74(a1),f317(f317(f75(a1),x74881),x74884)),x74883))+P1(f317(f317(f225(a1),f2(a1)),x74881))+~P1(f317(f317(f225(a1),x74881),x74883))
% 199.17/199.24 [7604]E(x76041,f2(a1))+E(f317(f317(f30(a1),x76042),x76041),x76043)+~E(x76042,f317(f317(f74(a1),f317(f317(f75(a1),x76041),x76043)),x76044))+~P1(f317(f317(f224(a1),f2(a1)),x76044))+~P1(f317(f317(f225(a1),f2(a1)),x76041))+~P1(f317(f317(f225(a1),x76044),x76041))
% 199.17/199.24 [7627]E(f40(a1,x76272,x76271),x76273)+E(x76271,f2(a1))+~E(x76272,f317(f317(f74(a1),f317(f317(f75(a1),x76271),x76274)),x76273))+~P1(f317(f317(f224(a1),f2(a1)),x76273))+~P1(f317(f317(f225(a1),f2(a1)),x76271))+~P1(f317(f317(f225(a1),x76273),x76271))
% 199.17/199.24 [7768]~P108(x77682)+E(x77681,f179(f907(x77682,a897)))+~P1(f317(f28(x77682),x77681))+~P1(f317(f317(f224(x77682),x77684),x77683))+~P1(f317(f317(f319(x77682),x77684),x77681))+P1(f317(f317(f224(x77682),f317(f57(x77682,f228(x77682)),x77681)),x77683))
% 199.17/199.24 [7769]~P108(x77692)+E(x77691,f179(f907(x77692,a897)))+~P1(f317(f28(x77692),x77691))+~P1(f317(f317(f225(x77692),x77694),x77693))+~P1(f317(f317(f319(x77692),x77694),x77691))+P1(f317(f317(f225(x77692),f317(f57(x77692,f228(x77692)),x77691)),x77693))
% 199.17/199.24 [8332]~P1(f317(f317(f224(a1),x83324),f2(a1)))+~E(x83321,f317(f317(f74(a1),f317(f317(f75(a1),x83322),x83323)),x83324))+~P1(f317(f317(f224(a1),f2(a1)),x83324))+~P1(f317(f317(f225(a1),x83324),x83322))+~P1(f317(f317(f225(a1),x83322),x83324))+P1(f317(f44(x83321,x83322),f317(f317(f242(a1,a1),x83323),x83324)))
% 199.17/199.24 [8496]~P109(x84961)+P1(f317(f317(f225(f907(x84961,a897)),f294(x84961,x84962,x84963)),f294(x84961,x84964,x84965)))+~P1(f317(f317(f224(x84961),x84964),x84962))+~P1(f317(f317(f224(x84961),x84964),x84965))+~P1(f317(f317(f224(x84961),x84963),x84965))+~P1(f317(f317(f225(x84961),x84963),x84965))
% 199.17/199.24 [8497]~P109(x84971)+P1(f317(f317(f225(f907(x84971,a897)),f294(x84971,x84972,x84973)),f294(x84971,x84974,x84975)))+~P1(f317(f317(f224(x84971),x84973),x84975))+~P1(f317(f317(f224(x84971),x84974),x84975))+~P1(f317(f317(f224(x84971),x84974),x84972))+~P1(f317(f317(f225(x84971),x84974),x84972))
% 199.17/199.24 [9349]P56(x93492,x93493,x93494,x93491)+E(x93491,f179(f907(x93492,a897)))+~P1(f317(f28(x93492),x93494))+~P1(f317(f28(x93492),x93491))+~P1(f317(f317(x93493,f515(x93491,x93494,x93493,x93492)),x93495))+~P1(f317(f317(f319(x93492),x93495),x93491))
% 199.17/199.24 [9350]P56(x93502,x93503,x93504,x93501)+E(x93501,f179(f907(x93502,a897)))+~P1(f317(f28(x93502),x93504))+~P1(f317(f28(x93502),x93501))+~P1(f317(f317(x93503,f779(x93503,x93501,x93504,x93502)),x93505))+~P1(f317(f317(f319(x93502),x93505),x93501))
% 199.17/199.24 [9351]P56(x93512,x93513,x93514,x93511)+E(x93511,f179(f907(x93512,a897)))+~P1(f317(f28(x93512),x93514))+~P1(f317(f28(x93512),x93511))+~P1(f317(f317(x93513,f780(x93511,x93514,x93513,x93512)),x93515))+~P1(f317(f317(f319(x93512),x93515),x93511))
% 199.17/199.24 [9506]~E(x95063,x95065)+~P72(x95061)+~P79(x95061)+~P37(x95063)+E(f317(f317(f8(a1,x95061),x95062),x95063),f317(f317(f8(a1,x95061),x95064),x95065))+P1(f317(f317(f224(a1),f2(a1)),f516(x95062,x95064,x95063,x95065,x95061)))
% 199.17/199.24 [9507]~E(x95073,x95075)+~P72(x95071)+~P79(x95071)+~P37(x95073)+E(f317(f317(f11(a1,x95071),x95072),x95073),f317(f317(f11(a1,x95071),x95074),x95075))+P1(f317(f317(f224(a1),f2(a1)),f490(x95072,x95074,x95073,x95075,x95071)))
% 199.17/199.24 [9693]~E(x96935,x96933)+~P72(x96931)+~P79(x96931)+~P37(x96935)+~E(f317(x96932,f516(x96934,x96932,x96935,x96933,x96931)),f317(x96934,f516(x96934,x96932,x96935,x96933,x96931)))+E(f317(f317(f8(a1,x96931),x96932),x96933),f317(f317(f8(a1,x96931),x96934),x96935))
% 199.17/199.24 [9694]~E(x96945,x96943)+~P72(x96941)+~P79(x96941)+~P37(x96945)+~E(f317(x96942,f490(x96944,x96942,x96945,x96943,x96941)),f317(x96944,f490(x96944,x96942,x96945,x96943,x96941)))+E(f317(f317(f11(a1,x96941),x96942),x96943),f317(f317(f11(a1,x96941),x96944),x96945))
% 199.17/199.24 [9794]~P82(x97943)+E(f317(x97941,x97942),f2(x97943))+~E(f317(f317(f8(x97944,x97943),x97941),x97945),f2(x97943))+~P1(f317(f28(x97944),x97945))+P1(f317(f317(f319(x97944),f462(x97942,x97941,x97945,x97944,x97943)),x97945))+~P1(f317(f317(f319(x97944),x97942),x97945))
% 199.17/199.24 [9933]~P82(x99333)+E(f317(x99331,x99332),f2(x99333))+~E(f317(f317(f8(x99334,x99333),x99331),x99335),f2(x99333))+~P1(f317(f28(x99334),x99335))+~P1(f317(f317(f319(x99334),x99332),x99335))+~P1(f317(f317(f224(x99333),f2(x99333)),f317(x99331,f462(x99332,x99331,x99335,x99334,x99333))))
% 199.17/199.24 [8416]~P137(x84161)+~P1(f317(f317(f224(x84161),x84163),x84165))+~P1(f317(f317(f224(x84161),x84162),x84164))+~P1(f317(f317(f224(x84161),f2(x84161)),x84163))+~P1(f317(f317(f224(x84161),f2(x84161)),x84164))+P1(f317(f317(f224(x84161),f317(f317(f75(x84161),x84162),x84163)),f317(f317(f75(x84161),x84164),x84165)))
% 199.17/199.24 [8417]~P137(x84171)+~P1(f317(f317(f224(x84171),x84173),x84175))+~P1(f317(f317(f224(x84171),x84172),x84174))+~P1(f317(f317(f224(x84171),f2(x84171)),x84173))+~P1(f317(f317(f224(x84171),f2(x84171)),x84172))+P1(f317(f317(f224(x84171),f317(f317(f75(x84171),x84172),x84173)),f317(f317(f75(x84171),x84174),x84175)))
% 199.17/199.24 [8418]~P64(x84181)+~P1(f317(f317(f225(x84181),f2(x84181)),x84185))+~P1(f317(f317(f224(x84181),x84185),x84183))+~P1(f317(f317(f224(x84181),x84182),x84184))+~P1(f317(f317(f224(x84181),f2(x84181)),x84182))+P1(f317(f317(f224(x84181),f317(f317(f280(x84181),x84182),x84183)),f317(f317(f280(x84181),x84184),x84185)))
% 199.17/199.24 [8419]~P134(x84191)+~P1(f317(f317(f224(x84191),x84193),x84195))+~P1(f317(f317(f224(x84191),f2(x84191)),x84192))+~P1(f317(f317(f225(x84191),x84192),x84194))+~P1(f317(f317(f225(x84191),f2(x84191)),x84193))+P1(f317(f317(f225(x84191),f317(f317(f75(x84191),x84192),x84193)),f317(f317(f75(x84191),x84194),x84195)))
% 199.17/199.24 [8420]~P134(x84201)+~P1(f317(f317(f224(x84201),x84202),x84204))+~P1(f317(f317(f224(x84201),f2(x84201)),x84203))+~P1(f317(f317(f225(x84201),x84203),x84205))+~P1(f317(f317(f225(x84201),f2(x84201)),x84202))+P1(f317(f317(f225(x84201),f317(f317(f75(x84201),x84202),x84203)),f317(f317(f75(x84201),x84204),x84205)))
% 199.17/199.24 [8421]~P134(x84211)+~P1(f317(f317(f224(x84211),f2(x84211)),x84213))+~P1(f317(f317(f224(x84211),f2(x84211)),x84212))+~P1(f317(f317(f225(x84211),x84213),x84215))+~P1(f317(f317(f225(x84211),x84212),x84214))+P1(f317(f317(f225(x84211),f317(f317(f75(x84211),x84212),x84213)),f317(f317(f75(x84211),x84214),x84215)))
% 199.17/199.24 [8422]~P134(x84221)+~P1(f317(f317(f224(x84221),f2(x84221)),x84223))+~P1(f317(f317(f225(x84221),x84223),x84225))+~P1(f317(f317(f225(x84221),x84222),x84224))+~P1(f317(f317(f225(x84221),f2(x84221)),x84224))+P1(f317(f317(f225(x84221),f317(f317(f75(x84221),x84222),x84223)),f317(f317(f75(x84221),x84224),x84225)))
% 199.17/199.24 [8423]~P64(x84231)+~P1(f317(f317(f224(x84231),x84235),x84233))+~P1(f317(f317(f224(x84231),f2(x84231)),x84232))+~P1(f317(f317(f225(x84231),x84232),x84234))+~P1(f317(f317(f225(x84231),f2(x84231)),x84235))+P1(f317(f317(f225(x84231),f317(f317(f280(x84231),x84232),x84233)),f317(f317(f280(x84231),x84234),x84235)))
% 199.17/199.24 [8424]~P64(x84241)+~P1(f317(f317(f224(x84241),x84242),x84244))+~P1(f317(f317(f225(x84241),x84245),x84243))+~P1(f317(f317(f225(x84241),f2(x84241)),x84245))+~P1(f317(f317(f225(x84241),f2(x84241)),x84242))+P1(f317(f317(f225(x84241),f317(f317(f280(x84241),x84242),x84243)),f317(f317(f280(x84241),x84244),x84245)))
% 199.17/199.24 [9835]~P72(x98355)+~P91(x98355)+E(x98351,f179(f907(x98352,a897)))+~P1(f317(f28(x98352),x98351))+P1(f317(f317(f319(x98352),f879(x98353,x98354,x98351,x98352,x98355)),x98351))+P1(f317(f317(f225(x98355),f317(f317(f8(x98352,x98355),x98354),x98351)),f317(f317(f8(x98352,x98355),x98353),x98351)))
% 199.17/199.24 [9956]~P72(x99561)+~P87(x99561)+~P1(f317(f28(x99562),x99565))+~P1(f317(f317(f224(x99561),f2(x99561)),f317(x99563,f347(x99563,x99564,x99565,x99562,x99561))))+P1(f317(f317(f224(x99561),f317(f317(f8(x99562,x99561),x99563),x99564)),f317(f317(f8(x99562,x99561),x99563),x99565)))+~P1(f317(f317(f224(f907(x99562,a897)),x99564),x99565))
% 199.17/199.24 [10103]~P72(x101033)+~P91(x101033)+E(x101031,f179(f907(x101032,a897)))+~P1(f317(f28(x101032),x101031))+~P1(f317(f317(f225(x101033),f317(x101034,f879(x101035,x101034,x101031,x101032,x101033))),f317(x101035,f879(x101035,x101034,x101031,x101032,x101033))))+P1(f317(f317(f225(x101033),f317(f317(f8(x101032,x101033),x101034),x101031)),f317(f317(f8(x101032,x101033),x101035),x101031)))
% 199.17/199.24 [7158]~P15(x71582,x71585,x71584)+E(x71581,f179(f907(x71582,a897)))+E(x71583,f179(f907(x71582,a897)))+~P1(f317(f28(x71582),x71581))+~P1(f317(f28(x71582),x71583))+E(f317(x71584,f317(f317(f91(f907(x71582,a897)),x71583),x71581)),f317(f317(x71585,f317(x71584,x71583)),f317(x71584,x71581)))
% 199.17/199.24 [7734]~P148(x77341,x77343,x77344)+P1(f317(x77341,x77342))+~P1(f317(f317(f225(a1),x77344),f2(a1)))+~P1(f317(f317(f224(a1),x77345),f2(a1)))+~E(x77343,f317(f317(f74(a1),f317(f317(f75(a1),x77344),x77342)),x77345))+~P1(f317(f317(f225(a1),x77344),x77345))
% 199.17/199.24 [7735]~P147(x77351,x77353,x77354)+P1(f317(x77351,x77352))+~P1(f317(f317(f225(a1),x77354),f2(a1)))+~P1(f317(f317(f224(a1),x77352),f2(a1)))+~E(x77353,f317(f317(f74(a1),f317(f317(f75(a1),x77354),x77355)),x77352))+~P1(f317(f317(f225(a1),x77354),x77352))
% 199.17/199.24 [7777]~P148(x77771,x77773,x77774)+P1(f317(x77771,x77772))+~E(x77773,f317(f317(f74(a1),f317(f317(f75(a1),x77774),x77772)),x77775))+~P1(f317(f317(f224(a1),f2(a1)),x77775))+~P1(f317(f317(f225(a1),f2(a1)),x77774))+~P1(f317(f317(f225(a1),x77775),x77774))
% 199.17/199.24 [7778]~P147(x77781,x77783,x77784)+P1(f317(x77781,x77782))+~E(x77783,f317(f317(f74(a1),f317(f317(f75(a1),x77784),x77785)),x77782))+~P1(f317(f317(f224(a1),f2(a1)),x77782))+~P1(f317(f317(f225(a1),f2(a1)),x77784))+~P1(f317(f317(f225(a1),x77782),x77784))
% 199.17/199.24 [8703]P1(f317(f317(x87031,x87032),x87033))+~P1(f317(f317(x87031,f317(f317(f30(a1),x87034),x87035)),f40(a1,x87034,x87035)))+~P1(f317(f317(f225(a1),x87035),f2(a1)))+~P1(f317(f317(f224(a1),x87033),f2(a1)))+~E(x87034,f317(f317(f74(a1),f317(f317(f75(a1),x87035),x87032)),x87033))+~P1(f317(f317(f225(a1),x87035),x87033))
% 199.17/199.24 [8712]P1(f317(f317(x87121,x87122),x87123))+~P1(f317(f317(x87121,f317(f317(f30(a1),x87124),x87125)),f40(a1,x87124,x87125)))+~E(x87124,f317(f317(f74(a1),f317(f317(f75(a1),x87125),x87122)),x87123))+~P1(f317(f317(f224(a1),f2(a1)),x87123))+~P1(f317(f317(f225(a1),f2(a1)),x87125))+~P1(f317(f317(f225(a1),x87123),x87125))
% 199.17/199.24 [8970]E(x89701,x89702)+~P53(x89703,x89705,x89704)+~P1(f317(f317(f319(x89703),x89702),x89705))+~P1(f317(f317(f319(x89703),x89701),x89705))+P1(f317(f317(f319(f906(x89703,x89703)),f317(f317(f242(x89703,x89703),x89701),x89702)),x89704))+P1(f317(f317(f319(f906(x89703,x89703)),f317(f317(f242(x89703,x89703),x89702),x89701)),x89704))
% 199.17/199.24 [9863]~P72(x98635)+~P87(x98635)+~P1(f317(f28(x98631),x98634))+P1(f317(f317(f224(x98635),f317(f317(f8(x98631,x98635),x98632),x98633)),f317(f317(f8(x98631,x98635),x98632),x98634)))+~P1(f317(f317(f224(f907(x98631,a897)),x98633),x98634))+P1(f317(f317(f319(x98631),f347(x98632,x98633,x98634,x98631,x98635)),f317(f317(f3(f907(x98631,a897)),x98634),x98633)))
% 199.17/199.24 [9964]E(x99641,f179(f907(x99642,a897)))+~P1(f317(f28(x99642),x99643))+~P1(f317(f28(x99642),x99641))+P1(f317(f317(f319(f906(f907(x99642,a897),f907(x99642,a897))),f317(f317(f242(f907(x99642,a897),f907(x99642,a897)),x99643),x99641)),f308(x99642,x99644)))+~P1(f317(f317(f319(x99642),x99645),x99641))+~P1(f317(f317(f319(f906(x99642,x99642)),f317(f317(f242(x99642,x99642),f520(x99644,x99641,x99643,x99642)),x99645)),x99644))
% 199.17/199.24 [9965]E(x99651,f179(f907(x99652,a897)))+~P1(f317(f28(x99652),x99653))+~P1(f317(f28(x99652),x99651))+P1(f317(f317(f319(f906(f907(x99652,a897),f907(x99652,a897))),f317(f317(f242(f907(x99652,a897),f907(x99652,a897)),x99653),x99651)),f308(x99652,x99654)))+~P1(f317(f317(f319(x99652),x99655),x99651))+~P1(f317(f317(f319(f906(x99652,x99652)),f317(f317(f242(x99652,x99652),f591(x99654,x99651,x99653,x99652)),x99655)),x99654))
% 199.17/199.24 [10107]~P82(x101071)+~E(f317(f317(f8(x101075,x101071),x101072),x101076),x101074)+~P1(f317(f28(x101075),x101076))+P1(f317(f317(f319(x101075),f463(x101073,x101074,x101072,x101076,x101075,x101071)),x101076))+P1(f317(f317(f224(x101071),f317(x101072,x101073)),x101074))+~P1(f317(f317(f319(x101075),x101073),x101076))
% 199.17/199.24 [10153]~P82(x101531)+~E(f317(f317(f8(x101535,x101531),x101532),x101536),x101534)+~P1(f317(f28(x101535),x101536))+~P1(f317(f317(f319(x101535),x101533),x101536))+~P1(f317(f317(f224(x101531),f2(x101531)),f317(x101532,f463(x101533,x101534,x101532,x101536,x101535,x101531))))+P1(f317(f317(f224(x101531),f317(x101532,x101533)),x101534))
% 199.17/199.24 [10320]~E(x103205,x103208)+~E(x103204,x103207)+~P107(x103201)+~P72(x103202)+E(f317(f317(f8(x103201,x103202),x103203),f317(f293(x103201,x103204),x103205)),f317(f317(f8(x103201,x103202),x103206),f317(f293(x103201,x103207),x103208)))+P1(f317(f317(f224(x103201),x103204),f440(x103203,x103206,x103205,x103208,x103204,x103207,x103201,x103202)))
% 199.17/199.24 [10343]~E(x103437,x103434)+~E(x103438,x103435)+~P107(x103431)+~P72(x103432)+~E(f317(x103433,f440(x103436,x103433,x103438,x103435,x103437,x103434,x103431,x103432)),f317(x103436,f440(x103436,x103433,x103438,x103435,x103437,x103434,x103431,x103432)))+E(f317(f317(f8(x103431,x103432),x103433),f317(f293(x103431,x103434),x103435)),f317(f317(f8(x103431,x103432),x103436),f317(f293(x103431,x103437),x103438)))
% 199.17/199.24 [10350]~E(x103504,x103507)+~E(x103505,x103508)+~P107(x103501)+~P72(x103502)+E(f317(f317(f8(x103501,x103502),x103503),f317(f293(x103501,x103504),x103505)),f317(f317(f8(x103501,x103502),x103506),f317(f293(x103501,x103507),x103508)))+P1(f317(f317(f225(x103501),f440(x103503,x103506,x103505,x103508,x103504,x103507,x103501,x103502)),x103505))
% 199.17/199.24 [9971]~P6(x99715,x99719,x99716)+~P6(x99711,x997110,x99713)+~P10(x99711,x99715,f907(x99712,a897),x99713,x99716,x99718)+~P1(f317(f317(f319(x99715),x99717),x99719))+~P1(f317(f317(f319(x99711),x99714),x997110))+E(f317(f317(f35(x99711,f907(x99712,a897)),f317(f274(x99711,x99711,x99713),f317(f317(f299(x99711),x99714),f179(f907(x99711,a897))))),f317(f317(f10(f907(x99715,f907(x99712,a897)),f907(x99712,a897),x99711),f317(f35(x99715,f907(x99712,a897)),f317(f274(x99715,x99715,x99716),f317(f317(f299(x99715),x99717),f179(f907(x99715,a897)))))),x99718)),f317(f317(x99718,x99714),x99717))
% 199.17/199.24 [5666]~P108(x56663)+~P11(x56663,x56662)+~P11(x56663,x56661)+E(x56661,x56662)+~E(f317(f162(x56663),x56661),f317(f162(x56663),x56662))+~P1(f317(f127(x56663),x56662))+~P1(f317(f127(x56663),x56661))
% 199.17/199.24 [4993]~P132(x49932)+~P133(x49932)+~P144(x49932)+~P115(x49932)+~E(x49933,f2(x49932))+E(x49931,f2(a901))+E(f317(f317(f234(x49932),x49933),x49931),f2(x49932))
% 199.17/199.24 [9213]E(x92131,f2(a901))+~E(x92132,f317(f317(f74(a901),f317(f317(f75(a901),f317(f241(a901,a901),x92133)),x92131)),f317(f246(a901,a901),x92133)))+P1(f317(f43(x92132,x92131),x92133))+~P1(f317(f317(f224(a901),f317(f246(a901,a901),x92133)),f2(a901)))+~P1(f317(f317(f224(a901),f2(a901)),f317(f246(a901,a901),x92133)))+~P1(f317(f317(f225(a901),x92131),f317(f246(a901,a901),x92133)))+~P1(f317(f317(f225(a901),f317(f246(a901,a901),x92133)),x92131))
% 199.29/199.24 [9226]~E(f317(f241(a901,a901),x92263),f2(a901))+~E(x92261,f317(f317(f74(a901),f317(f317(f75(a901),f317(f241(a901,a901),x92263)),x92262)),f317(f246(a901,a901),x92263)))+P1(f317(f43(x92261,x92262),x92263))+~P1(f317(f317(f224(a901),f317(f246(a901,a901),x92263)),f2(a901)))+~P1(f317(f317(f224(a901),f2(a901)),f317(f246(a901,a901),x92263)))+~P1(f317(f317(f225(a901),x92262),f317(f246(a901,a901),x92263)))+~P1(f317(f317(f225(a901),f317(f246(a901,a901),x92263)),x92262))
% 199.29/199.24 [8082]~P76(x80822)+E(x80821,f179(f907(x80822,a897)))+E(x80823,f179(f907(x80822,a897)))+~P1(f317(f28(x80822),x80821))+~P1(f317(f28(x80822),x80823))+~E(f317(f317(f92(f907(x80822,a897)),x80823),x80821),f179(f907(x80822,a897)))+E(f317(f317(f75(x80822),f317(f57(x80822,f75(x80822)),x80823)),f317(f57(x80822,f75(x80822)),x80821)),f317(f57(x80822,f75(x80822)),f317(f317(f91(f907(x80822,a897)),x80823),x80821)))
% 199.29/199.24 [7873]E(x78731,f2(a1))+E(f317(f317(f30(a1),x78732),x78731),x78733)+~P1(f317(f317(f224(a1),x78734),f2(a1)))+~E(x78732,f317(f317(f74(a1),f317(f317(f75(a1),x78731),x78733)),x78734))+~P1(f317(f317(f224(a1),f2(a1)),x78734))+~P1(f317(f317(f225(a1),x78734),x78731))+~P1(f317(f317(f225(a1),x78731),x78734))
% 199.29/199.24 [7881]E(f40(a1,x78812,x78811),x78813)+E(x78811,f2(a1))+~P1(f317(f317(f224(a1),x78813),f2(a1)))+~E(x78812,f317(f317(f74(a1),f317(f317(f75(a1),x78811),x78814)),x78813))+~P1(f317(f317(f224(a1),f2(a1)),x78813))+~P1(f317(f317(f225(a1),x78813),x78811))+~P1(f317(f317(f225(a1),x78811),x78813))
% 199.29/199.24 [6936]~P58(x69362)+E(x69361,f2(x69362))+E(x69363,f2(x69362))+~E(f317(f317(f30(x69362),x69364),x69363),f317(f317(f30(x69362),x69365),x69361))+E(f317(f317(f75(x69362),x69364),x69361),f317(f317(f75(x69362),x69363),x69365))+~P1(f317(f317(f276(x69362),x69361),x69365))+~P1(f317(f317(f276(x69362),x69363),x69364))
% 199.29/199.24 [6937]~P58(x69372)+E(x69371,f2(x69372))+E(x69373,f2(x69372))+~E(f317(f317(f75(x69372),x69374),x69373),f317(f317(f75(x69372),x69371),x69375))+E(f317(f317(f30(x69372),x69374),x69371),f317(f317(f30(x69372),x69375),x69373))+~P1(f317(f317(f276(x69372),x69371),x69374))+~P1(f317(f317(f276(x69372),x69373),x69375))
% 199.29/199.24 [7787]~P16(x77872,x77875,x77874)+E(x77871,f179(f907(x77872,a897)))+E(x77873,f179(f907(x77872,a897)))+~P1(f317(f28(x77872),x77871))+~P1(f317(f28(x77872),x77873))+~E(f317(f317(f92(f907(x77872,a897)),x77873),x77871),f179(f907(x77872,a897)))+E(f317(x77874,f317(f317(f91(f907(x77872,a897)),x77873),x77871)),f317(f317(x77875,f317(x77874,x77873)),f317(x77874,x77871)))
% 199.29/199.24 [9475]~P22(x94753,x94751,x94755,x94754)+~P22(x94751,x94753,x94756,x94752)+E(f317(f29(x94751),x94752),f317(f29(x94753),x94754))+~P1(f317(f28(x94753),x94754))+~P1(f317(f28(x94751),x94752))+~P1(f317(f317(f224(f907(x94753,a897)),f317(f300(x94751,x94753,x94756),x94752)),x94754))+~P1(f317(f317(f224(f907(x94751,a897)),f317(f300(x94753,x94751,x94755),x94754)),x94752))
% 199.29/199.24 [9421]~P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f75(a1),x94215),x94211)),x94216)),f2(a1)))+~E(f317(f317(f74(a1),f317(f317(f75(a1),x94213),x94212)),x94214),f317(f317(f74(a1),f317(f317(f75(a1),x94215),x94211)),x94216))+~P1(f317(f317(f224(a1),f2(a1)),x94216))+~P1(f317(f317(f225(a1),f2(a1)),x94215))+~P1(f317(f317(f224(a1),x94215),x94213))+~P1(f317(f317(f225(a1),x94214),x94213))+P1(f317(f317(f224(a1),x94211),x94212))
% 199.29/199.24 [9170]~E(f317(f317(f74(a1),f317(f317(f75(a1),x91703),x91701)),x91704),f317(f317(f74(a1),f317(f317(f75(a1),x91705),x91702)),x91706))+~P1(f317(f317(f224(a1),f2(a1)),x91704))+~P1(f317(f317(f225(a1),f2(a1)),x91705))+~P1(f317(f317(f224(a1),x91705),x91703))+~P1(f317(f317(f225(a1),x91706),x91705))+P1(f317(f317(f224(a1),x91701),x91702))+~P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),f317(f317(f75(a1),x91705),x91702)),x91706)))
% 199.29/199.24 [9354]~P131(x93541)+~E(f317(f317(f74(x93541),x93542),x93544),f72(x93541))+~P1(f317(f317(f224(x93541),x93545),x93546))+~P1(f317(f317(f224(x93541),x93543),x93546))+~P1(f317(f317(f224(x93541),f2(x93541)),x93544))+~P1(f317(f317(f224(x93541),f2(x93541)),x93542))+P1(f317(f317(f224(x93541),f317(f317(f74(x93541),f317(f317(f75(x93541),x93542),x93543)),f317(f317(f75(x93541),x93544),x93545))),x93546))
% 199.29/199.24 [9355]~P129(x93551)+~E(f317(f317(f74(x93551),x93552),x93554),f72(x93551))+~P1(f317(f317(f224(x93551),f2(x93551)),x93554))+~P1(f317(f317(f224(x93551),f2(x93551)),x93552))+~P1(f317(f317(f225(x93551),x93555),x93556))+~P1(f317(f317(f225(x93551),x93553),x93556))+P1(f317(f317(f225(x93551),f317(f317(f74(x93551),f317(f317(f75(x93551),x93552),x93553)),f317(f317(f75(x93551),x93554),x93555))),x93556))
% 199.29/199.24 [10196]~P6(x101967,x101966,x101965)+E(x101961,x101962)+~P9(x101967,f907(x101964,a897),x101965,x101963)+E(f317(x101963,f502(x101961,x101962,x101963,x101964,x101965,x101966,x101967)),f317(x101963,f499(x101961,x101962,x101963,x101964,x101965,x101966,x101967)))+~E(f317(f317(f35(x101967,f907(x101964,a897)),x101961),x101963),f317(f317(f35(x101967,f907(x101964,a897)),x101962),x101963))+~P1(f317(f317(f319(f907(x101967,a897)),x101962),f317(f317(f55(x101967),x101966),x101965)))+~P1(f317(f317(f319(f907(x101967,a897)),x101961),f317(f317(f55(x101967),x101966),x101965)))
% 199.29/199.24 [10254]~P6(x102543,x102547,x102546)+E(x102541,x102542)+~P9(x102543,f907(x102545,a897),x102546,x102544)+~E(f317(f317(f35(x102543,f907(x102545,a897)),x102541),x102544),f317(f317(f35(x102543,f907(x102545,a897)),x102542),x102544))+P1(f317(f317(f319(x102543),f499(x102541,x102542,x102544,x102545,x102546,x102547,x102543)),x102547))+~P1(f317(f317(f319(f907(x102543,a897)),x102542),f317(f317(f55(x102543),x102547),x102546)))+~P1(f317(f317(f319(f907(x102543,a897)),x102541),f317(f317(f55(x102543),x102547),x102546)))
% 199.29/199.24 [10255]~P6(x102553,x102557,x102556)+E(x102551,x102552)+~P9(x102553,f907(x102555,a897),x102556,x102554)+~E(f317(f317(f35(x102553,f907(x102555,a897)),x102551),x102554),f317(f317(f35(x102553,f907(x102555,a897)),x102552),x102554))+P1(f317(f317(f319(x102553),f502(x102551,x102552,x102554,x102555,x102556,x102557,x102553)),x102557))+~P1(f317(f317(f319(f907(x102553,a897)),x102552),f317(f317(f55(x102553),x102557),x102556)))+~P1(f317(f317(f319(f907(x102553,a897)),x102551),f317(f317(f55(x102553),x102557),x102556)))
% 199.29/199.24 [10371]E(x103711,x103712)+~P6(x103713,x103716,x103717)+~P9(x103713,f907(x103714,a897),x103717,x103715)+~E(f317(f317(f35(x103713,f907(x103714,a897)),x103711),x103715),f317(f317(f35(x103713,f907(x103714,a897)),x103712),x103715))+~P1(f317(f317(f319(f906(x103713,x103713)),f317(f317(f242(x103713,x103713),f499(x103711,x103712,x103715,x103714,x103717,x103716,x103713)),f502(x103711,x103712,x103715,x103714,x103717,x103716,x103713))),x103717))+~P1(f317(f317(f319(f907(x103713,a897)),x103712),f317(f317(f55(x103713),x103716),x103717)))+~P1(f317(f317(f319(f907(x103713,a897)),x103711),f317(f317(f55(x103713),x103716),x103717)))
% 199.29/199.24 [9169]~P6(x91691,x91697,x91694)+~E(x91695,x91696)+~P1(f317(f317(f319(x91691),x91693),x91696))+~P1(f317(f317(f319(x91691),x91692),x91695))+~P1(f317(f317(f319(f907(x91691,a897)),x91696),f317(f317(f55(x91691),x91697),x91694)))+~P1(f317(f317(f319(f907(x91691,a897)),x91695),f317(f317(f55(x91691),x91697),x91694)))+P1(f317(f317(f319(f906(x91691,x91691)),f317(f317(f242(x91691,x91691),x91692),x91693)),x91694))
% 199.29/199.24 [9311]E(x93111,x93112)+~P6(x93113,x93114,x93115)+~P1(f317(f317(f319(x93113),x93116),x93112))+~P1(f317(f317(f319(x93113),x93117),x93111))+~P1(f317(f317(f319(f907(x93113,a897)),x93112),f317(f317(f55(x93113),x93114),x93115)))+~P1(f317(f317(f319(f907(x93113,a897)),x93111),f317(f317(f55(x93113),x93114),x93115)))+~P1(f317(f317(f319(f906(x93113,x93113)),f317(f317(f242(x93113,x93113),x93117),x93116)),x93115))
% 199.29/199.24 [10402]~P6(x104029,x104028,x104027)+~P6(x104021,x1040211,x1040210)+~P10(x104021,x104029,f907(x104026,a897),x1040210,x104027,x104025)+P1(f317(f317(f319(x104021),f504(x104022,x104023,x104024,x104025,x104026,x104027,x104028,x104029,x1040210,x1040211,x104021)),x1040211))+~P1(f317(f317(f319(f907(x104029,a897)),x104023),f317(f317(f55(x104029),x104028),x104027)))+~P1(f317(f317(f319(f907(x104021,a897)),x104024),f317(f317(f55(x104021),x1040211),x1040210)))+P1(f317(f317(f319(f907(x104026,a897)),f317(f317(f35(x104021,f907(x104026,a897)),x104024),f317(f317(f10(f907(x104029,f907(x104026,a897)),f907(x104026,a897),x104021),f317(f35(x104029,f907(x104026,a897)),x104023)),x104025))),x104022))
% 199.29/199.24 [10403]~P6(x1040311,x1040310,x104039)+~P6(x104031,x104038,x104037)+~P10(x1040311,x104031,f907(x104036,a897),x104039,x104037,x104035)+P1(f317(f317(f319(x104031),f505(x104032,x104033,x104034,x104035,x104036,x104037,x104038,x104031,x104039,x1040310,x1040311)),x104038))+~P1(f317(f317(f319(f907(x1040311,a897)),x104034),f317(f317(f55(x1040311),x1040310),x104039)))+~P1(f317(f317(f319(f907(x104031,a897)),x104033),f317(f317(f55(x104031),x104038),x104037)))+P1(f317(f317(f319(f907(x104036,a897)),f317(f317(f35(x1040311,f907(x104036,a897)),x104034),f317(f317(f10(f907(x104031,f907(x104036,a897)),f907(x104036,a897),x1040311),f317(f35(x104031,f907(x104036,a897)),x104033)),x104035))),x104032))
% 199.29/199.24 [10404]~P6(x104042,x104048,x104049)+~P6(x104044,x1040410,x1040411)+~P10(x104042,x104044,f907(x104041,a897),x104049,x1040411,x104046)+~P1(f317(f317(f319(f907(x104042,a897)),x104043),f317(f317(f55(x104042),x104048),x104049)))+~P1(f317(f317(f319(f907(x104044,a897)),x104045),f317(f317(f55(x104044),x1040410),x1040411)))+~P1(f317(f317(f319(f907(x104041,a897)),f317(f317(x104046,f504(x104047,x104045,x104043,x104046,x104041,x1040411,x1040410,x104044,x104049,x104048,x104042)),f505(x104047,x104045,x104043,x104046,x104041,x1040411,x1040410,x104044,x104049,x104048,x104042))),x104047))+P1(f317(f317(f319(f907(x104041,a897)),f317(f317(f35(x104042,f907(x104041,a897)),x104043),f317(f317(f10(f907(x104044,f907(x104041,a897)),f907(x104041,a897),x104042),f317(f35(x104044,f907(x104041,a897)),x104045)),x104046))),x104047))
% 199.29/199.24 [9199]E(x91991,x91992)+~P108(x91994)+~P22(x91993,x91994,x91995,f317(f317(f91(f907(x91993,a897)),f317(f162(x91993),x91991)),f317(f162(x91993),x91992)))+~E(f317(f162(x91993),x91991),f317(f162(x91993),x91992))+~P11(x91994,f317(f317(f144(x91993,x91994),x91995),x91992))+~P11(x91994,f317(f317(f144(x91993,x91994),x91995),x91991))+~P1(f317(f127(x91994),f317(f317(f144(x91993,x91994),x91995),x91992)))+~P1(f317(f127(x91994),f317(f317(f144(x91993,x91994),x91995),x91991)))
% 199.29/199.24 %EqnAxiom
% 199.29/199.24 [1]E(x11,x11)
% 199.29/199.24 [2]E(x22,x21)+~E(x21,x22)
% 199.29/199.24 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 199.29/199.24 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 199.29/199.24 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 199.29/199.24 [6]~E(x61,x62)+E(f90(x61),f90(x62))
% 199.29/199.24 [7]~E(x71,x72)+E(f91(x71),f91(x72))
% 199.29/199.24 [8]~E(x81,x82)+E(f178(x81),f178(x82))
% 199.29/199.24 [9]~E(x91,x92)+E(f228(x91),f228(x92))
% 199.29/199.24 [10]~E(x101,x102)+E(f92(x101),f92(x102))
% 199.29/199.24 [11]~E(x111,x112)+E(f179(x111),f179(x112))
% 199.29/199.24 [12]~E(x121,x122)+E(f317(x121,x123),f317(x122,x123))
% 199.29/199.24 [13]~E(x131,x132)+E(f317(x133,x131),f317(x133,x132))
% 199.29/199.24 [14]~E(x141,x142)+E(f93(x141),f93(x142))
% 199.29/199.24 [15]~E(x151,x152)+E(f25(x151),f25(x152))
% 199.29/199.24 [16]~E(x161,x162)+E(f78(x161),f78(x162))
% 199.29/199.24 [17]~E(x171,x172)+E(f40(x171,x173,x174),f40(x172,x173,x174))
% 199.29/199.24 [18]~E(x181,x182)+E(f40(x183,x181,x184),f40(x183,x182,x184))
% 199.29/199.24 [19]~E(x191,x192)+E(f40(x193,x194,x191),f40(x193,x194,x192))
% 199.29/199.24 [20]~E(x201,x202)+E(f232(x201),f232(x202))
% 199.29/199.24 [21]~E(x211,x212)+E(f94(x211),f94(x212))
% 199.29/199.24 [22]~E(x221,x222)+E(f72(x221),f72(x222))
% 199.29/199.24 [23]~E(x231,x232)+E(f505(x231,x233,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312),f505(x232,x233,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312))
% 199.29/199.24 [24]~E(x241,x242)+E(f505(x243,x241,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412),f505(x243,x242,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412))
% 199.29/199.24 [25]~E(x251,x252)+E(f505(x253,x254,x251,x255,x256,x257,x258,x259,x2510,x2511,x2512),f505(x253,x254,x252,x255,x256,x257,x258,x259,x2510,x2511,x2512))
% 199.29/199.24 [26]~E(x261,x262)+E(f505(x263,x264,x265,x261,x266,x267,x268,x269,x2610,x2611,x2612),f505(x263,x264,x265,x262,x266,x267,x268,x269,x2610,x2611,x2612))
% 199.29/199.24 [27]~E(x271,x272)+E(f505(x273,x274,x275,x276,x271,x277,x278,x279,x2710,x2711,x2712),f505(x273,x274,x275,x276,x272,x277,x278,x279,x2710,x2711,x2712))
% 199.29/199.24 [28]~E(x281,x282)+E(f505(x283,x284,x285,x286,x287,x281,x288,x289,x2810,x2811,x2812),f505(x283,x284,x285,x286,x287,x282,x288,x289,x2810,x2811,x2812))
% 199.29/199.24 [29]~E(x291,x292)+E(f505(x293,x294,x295,x296,x297,x298,x291,x299,x2910,x2911,x2912),f505(x293,x294,x295,x296,x297,x298,x292,x299,x2910,x2911,x2912))
% 199.29/199.24 [30]~E(x301,x302)+E(f505(x303,x304,x305,x306,x307,x308,x309,x301,x3010,x3011,x3012),f505(x303,x304,x305,x306,x307,x308,x309,x302,x3010,x3011,x3012))
% 199.29/199.24 [31]~E(x311,x312)+E(f505(x313,x314,x315,x316,x317,x318,x319,x3110,x311,x3111,x3112),f505(x313,x314,x315,x316,x317,x318,x319,x3110,x312,x3111,x3112))
% 199.29/199.24 [32]~E(x321,x322)+E(f505(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x321,x3212),f505(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x322,x3212))
% 199.29/199.24 [33]~E(x331,x332)+E(f505(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x3312,x331),f505(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x3312,x332))
% 199.29/199.24 [34]~E(x341,x342)+E(f907(x341,x343),f907(x342,x343))
% 199.29/199.24 [35]~E(x351,x352)+E(f907(x353,x351),f907(x353,x352))
% 199.29/199.24 [36]~E(x361,x362)+E(f6(x361),f6(x362))
% 199.29/199.24 [37]~E(x371,x372)+E(f504(x371,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712),f504(x372,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712))
% 199.29/199.24 [38]~E(x381,x382)+E(f504(x383,x381,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812),f504(x383,x382,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812))
% 199.29/199.24 [39]~E(x391,x392)+E(f504(x393,x394,x391,x395,x396,x397,x398,x399,x3910,x3911,x3912),f504(x393,x394,x392,x395,x396,x397,x398,x399,x3910,x3911,x3912))
% 199.29/199.24 [40]~E(x401,x402)+E(f504(x403,x404,x405,x401,x406,x407,x408,x409,x4010,x4011,x4012),f504(x403,x404,x405,x402,x406,x407,x408,x409,x4010,x4011,x4012))
% 199.29/199.24 [41]~E(x411,x412)+E(f504(x413,x414,x415,x416,x411,x417,x418,x419,x4110,x4111,x4112),f504(x413,x414,x415,x416,x412,x417,x418,x419,x4110,x4111,x4112))
% 199.29/199.24 [42]~E(x421,x422)+E(f504(x423,x424,x425,x426,x427,x421,x428,x429,x4210,x4211,x4212),f504(x423,x424,x425,x426,x427,x422,x428,x429,x4210,x4211,x4212))
% 199.29/199.24 [43]~E(x431,x432)+E(f504(x433,x434,x435,x436,x437,x438,x431,x439,x4310,x4311,x4312),f504(x433,x434,x435,x436,x437,x438,x432,x439,x4310,x4311,x4312))
% 199.29/199.24 [44]~E(x441,x442)+E(f504(x443,x444,x445,x446,x447,x448,x449,x441,x4410,x4411,x4412),f504(x443,x444,x445,x446,x447,x448,x449,x442,x4410,x4411,x4412))
% 199.29/199.24 [45]~E(x451,x452)+E(f504(x453,x454,x455,x456,x457,x458,x459,x4510,x451,x4511,x4512),f504(x453,x454,x455,x456,x457,x458,x459,x4510,x452,x4511,x4512))
% 199.29/199.24 [46]~E(x461,x462)+E(f504(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x461,x4612),f504(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x462,x4612))
% 199.29/199.24 [47]~E(x471,x472)+E(f504(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x471),f504(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x472))
% 199.29/199.24 [48]~E(x481,x482)+E(f319(x481),f319(x482))
% 199.29/199.24 [49]~E(x491,x492)+E(f101(x491),f101(x492))
% 199.29/199.24 [50]~E(x501,x502)+E(f225(x501),f225(x502))
% 199.29/199.24 [51]~E(x511,x512)+E(f904(x511),f904(x512))
% 199.29/199.24 [52]~E(x521,x522)+E(f902(x521),f902(x522))
% 199.29/199.24 [53]~E(x531,x532)+E(f903(x531),f903(x532))
% 199.29/199.24 [54]~E(x541,x542)+E(f73(x541),f73(x542))
% 199.29/199.24 [55]~E(x551,x552)+E(f141(x551),f141(x552))
% 199.29/199.24 [56]~E(x561,x562)+E(f29(x561),f29(x562))
% 199.29/199.24 [57]~E(x571,x572)+E(f74(x571),f74(x572))
% 199.29/199.24 [58]~E(x581,x582)+E(f180(x581),f180(x582))
% 199.29/199.24 [59]~E(x591,x592)+E(f171(x591,x593),f171(x592,x593))
% 199.29/199.24 [60]~E(x601,x602)+E(f171(x603,x601),f171(x603,x602))
% 199.29/199.24 [61]~E(x611,x612)+E(f906(x611,x613),f906(x612,x613))
% 199.29/199.24 [62]~E(x621,x622)+E(f906(x623,x621),f906(x623,x622))
% 199.29/199.24 [63]~E(x631,x632)+E(f162(x631),f162(x632))
% 199.29/199.24 [64]~E(x641,x642)+E(f224(x641),f224(x642))
% 199.29/199.24 [65]~E(x651,x652)+E(f802(x651,x653,x654),f802(x652,x653,x654))
% 199.29/199.24 [66]~E(x661,x662)+E(f802(x663,x661,x664),f802(x663,x662,x664))
% 199.29/199.24 [67]~E(x671,x672)+E(f802(x673,x674,x671),f802(x673,x674,x672))
% 199.29/199.24 [68]~E(x681,x682)+E(f299(x681),f299(x682))
% 199.29/199.24 [69]~E(x691,x692)+E(f242(x691,x693),f242(x692,x693))
% 199.29/199.24 [70]~E(x701,x702)+E(f242(x703,x701),f242(x703,x702))
% 199.29/199.24 [71]~E(x711,x712)+E(f501(x711,x713,x714),f501(x712,x713,x714))
% 199.29/199.24 [72]~E(x721,x722)+E(f501(x723,x721,x724),f501(x723,x722,x724))
% 199.29/199.24 [73]~E(x731,x732)+E(f501(x733,x734,x731),f501(x733,x734,x732))
% 199.29/199.24 [74]~E(x741,x742)+E(f305(x741,x743),f305(x742,x743))
% 199.29/199.24 [75]~E(x751,x752)+E(f305(x753,x751),f305(x753,x752))
% 199.29/199.24 [76]~E(x761,x762)+E(f9(x761,x763,x764),f9(x762,x763,x764))
% 199.29/199.24 [77]~E(x771,x772)+E(f9(x773,x771,x774),f9(x773,x772,x774))
% 199.29/199.24 [78]~E(x781,x782)+E(f9(x783,x784,x781),f9(x783,x784,x782))
% 199.29/199.24 [79]~E(x791,x792)+E(f10(x791,x793,x794),f10(x792,x793,x794))
% 199.29/199.24 [80]~E(x801,x802)+E(f10(x803,x801,x804),f10(x803,x802,x804))
% 199.29/199.24 [81]~E(x811,x812)+E(f10(x813,x814,x811),f10(x813,x814,x812))
% 199.29/199.24 [82]~E(x821,x822)+E(f154(x821),f154(x822))
% 199.29/199.24 [83]~E(x831,x832)+E(f75(x831),f75(x832))
% 199.29/199.24 [84]~E(x841,x842)+E(f55(x841),f55(x842))
% 199.29/199.24 [85]~E(x851,x852)+E(f15(x851,x853,x854),f15(x852,x853,x854))
% 199.29/199.24 [86]~E(x861,x862)+E(f15(x863,x861,x864),f15(x863,x862,x864))
% 199.29/199.24 [87]~E(x871,x872)+E(f15(x873,x874,x871),f15(x873,x874,x872))
% 199.29/199.24 [88]~E(x881,x882)+E(f134(x881,x883),f134(x882,x883))
% 199.29/199.24 [89]~E(x891,x892)+E(f134(x893,x891),f134(x893,x892))
% 199.29/199.24 [90]~E(x901,x902)+E(f290(x901),f290(x902))
% 199.29/199.24 [91]~E(x911,x912)+E(f76(x911,x913),f76(x912,x913))
% 199.29/199.24 [92]~E(x921,x922)+E(f76(x923,x921),f76(x923,x922))
% 199.29/199.24 [93]~E(x931,x932)+E(f303(x931,x933,x934,x935),f303(x932,x933,x934,x935))
% 199.29/199.24 [94]~E(x941,x942)+E(f303(x943,x941,x944,x945),f303(x943,x942,x944,x945))
% 199.29/199.24 [95]~E(x951,x952)+E(f303(x953,x954,x951,x955),f303(x953,x954,x952,x955))
% 199.29/199.24 [96]~E(x961,x962)+E(f303(x963,x964,x965,x961),f303(x963,x964,x965,x962))
% 199.29/199.24 [97]~E(x971,x972)+E(f246(x971,x973),f246(x972,x973))
% 199.29/199.24 [98]~E(x981,x982)+E(f246(x983,x981),f246(x983,x982))
% 199.29/199.24 [99]~E(x991,x992)+E(f18(x991,x993),f18(x992,x993))
% 199.29/199.24 [100]~E(x1001,x1002)+E(f18(x1003,x1001),f18(x1003,x1002))
% 199.29/199.24 [101]~E(x1011,x1012)+E(f244(x1011,x1013),f244(x1012,x1013))
% 199.29/199.24 [102]~E(x1021,x1022)+E(f244(x1023,x1021),f244(x1023,x1022))
% 199.29/199.24 [103]~E(x1031,x1032)+E(f371(x1031),f371(x1032))
% 199.29/199.24 [104]~E(x1041,x1042)+E(f276(x1041),f276(x1042))
% 199.29/199.24 [105]~E(x1051,x1052)+E(f882(x1051,x1053,x1054,x1055,x1056),f882(x1052,x1053,x1054,x1055,x1056))
% 199.29/199.24 [106]~E(x1061,x1062)+E(f882(x1063,x1061,x1064,x1065,x1066),f882(x1063,x1062,x1064,x1065,x1066))
% 199.29/199.24 [107]~E(x1071,x1072)+E(f882(x1073,x1074,x1071,x1075,x1076),f882(x1073,x1074,x1072,x1075,x1076))
% 199.29/199.24 [108]~E(x1081,x1082)+E(f882(x1083,x1084,x1085,x1081,x1086),f882(x1083,x1084,x1085,x1082,x1086))
% 199.29/199.24 [109]~E(x1091,x1092)+E(f882(x1093,x1094,x1095,x1096,x1091),f882(x1093,x1094,x1095,x1096,x1092))
% 199.29/199.24 [110]~E(x1101,x1102)+E(f67(x1101,x1103,x1104,x1105),f67(x1102,x1103,x1104,x1105))
% 199.29/199.24 [111]~E(x1111,x1112)+E(f67(x1113,x1111,x1114,x1115),f67(x1113,x1112,x1114,x1115))
% 199.29/199.24 [112]~E(x1121,x1122)+E(f67(x1123,x1124,x1121,x1125),f67(x1123,x1124,x1122,x1125))
% 199.29/199.24 [113]~E(x1131,x1132)+E(f67(x1133,x1134,x1135,x1131),f67(x1133,x1134,x1135,x1132))
% 199.29/199.24 [114]~E(x1141,x1142)+E(f252(x1141),f252(x1142))
% 199.29/199.24 [115]~E(x1151,x1152)+E(f147(x1151,x1153),f147(x1152,x1153))
% 199.29/199.24 [116]~E(x1161,x1162)+E(f147(x1163,x1161),f147(x1163,x1162))
% 199.29/199.24 [117]~E(x1171,x1172)+E(f124(x1171),f124(x1172))
% 199.29/199.24 [118]~E(x1181,x1182)+E(f848(x1181,x1183,x1184),f848(x1182,x1183,x1184))
% 199.29/199.24 [119]~E(x1191,x1192)+E(f848(x1193,x1191,x1194),f848(x1193,x1192,x1194))
% 199.29/199.24 [120]~E(x1201,x1202)+E(f848(x1203,x1204,x1201),f848(x1203,x1204,x1202))
% 199.29/199.24 [121]~E(x1211,x1212)+E(f241(x1211,x1213),f241(x1212,x1213))
% 199.29/199.24 [122]~E(x1221,x1222)+E(f241(x1223,x1221),f241(x1223,x1222))
% 199.29/199.24 [123]~E(x1231,x1232)+E(f8(x1231,x1233),f8(x1232,x1233))
% 199.29/199.24 [124]~E(x1241,x1242)+E(f8(x1243,x1241),f8(x1243,x1242))
% 199.29/199.24 [125]~E(x1251,x1252)+E(f103(x1251),f103(x1252))
% 199.29/199.24 [126]~E(x1261,x1262)+E(f158(x1261),f158(x1262))
% 199.29/199.24 [127]~E(x1271,x1272)+E(f472(x1271,x1273),f472(x1272,x1273))
% 199.29/199.24 [128]~E(x1281,x1282)+E(f472(x1283,x1281),f472(x1283,x1282))
% 199.29/199.24 [129]~E(x1291,x1292)+E(f57(x1291,x1293),f57(x1292,x1293))
% 199.29/199.24 [130]~E(x1301,x1302)+E(f57(x1303,x1301),f57(x1303,x1302))
% 199.29/199.24 [131]~E(x1311,x1312)+E(f30(x1311),f30(x1312))
% 199.29/199.24 [132]~E(x1321,x1322)+E(f96(x1321),f96(x1322))
% 199.29/199.24 [133]~E(x1331,x1332)+E(f98(x1331),f98(x1332))
% 199.29/199.24 [134]~E(x1341,x1342)+E(f318(x1341),f318(x1342))
% 199.29/199.24 [135]~E(x1351,x1352)+E(f293(x1351,x1353),f293(x1352,x1353))
% 199.29/199.24 [136]~E(x1361,x1362)+E(f293(x1363,x1361),f293(x1363,x1362))
% 199.29/199.24 [137]~E(x1371,x1372)+E(f565(x1371),f565(x1372))
% 199.29/199.24 [138]~E(x1381,x1382)+E(f174(x1381,x1383,x1384),f174(x1382,x1383,x1384))
% 199.29/199.24 [139]~E(x1391,x1392)+E(f174(x1393,x1391,x1394),f174(x1393,x1392,x1394))
% 199.29/199.24 [140]~E(x1401,x1402)+E(f174(x1403,x1404,x1401),f174(x1403,x1404,x1402))
% 199.29/199.24 [141]~E(x1411,x1412)+E(f651(x1411,x1413,x1414,x1415),f651(x1412,x1413,x1414,x1415))
% 199.29/199.24 [142]~E(x1421,x1422)+E(f651(x1423,x1421,x1424,x1425),f651(x1423,x1422,x1424,x1425))
% 199.29/199.24 [143]~E(x1431,x1432)+E(f651(x1433,x1434,x1431,x1435),f651(x1433,x1434,x1432,x1435))
% 199.29/199.24 [144]~E(x1441,x1442)+E(f651(x1443,x1444,x1445,x1441),f651(x1443,x1444,x1445,x1442))
% 199.29/199.24 [145]~E(x1451,x1452)+E(f231(x1451,x1453),f231(x1452,x1453))
% 199.29/199.24 [146]~E(x1461,x1462)+E(f231(x1463,x1461),f231(x1463,x1462))
% 199.29/199.24 [147]~E(x1471,x1472)+E(f847(x1471,x1473,x1474),f847(x1472,x1473,x1474))
% 199.29/199.24 [148]~E(x1481,x1482)+E(f847(x1483,x1481,x1484),f847(x1483,x1482,x1484))
% 199.29/199.24 [149]~E(x1491,x1492)+E(f847(x1493,x1494,x1491),f847(x1493,x1494,x1492))
% 199.29/199.24 [150]~E(x1501,x1502)+E(f167(x1501,x1503,x1504),f167(x1502,x1503,x1504))
% 199.29/199.24 [151]~E(x1511,x1512)+E(f167(x1513,x1511,x1514),f167(x1513,x1512,x1514))
% 199.29/199.24 [152]~E(x1521,x1522)+E(f167(x1523,x1524,x1521),f167(x1523,x1524,x1522))
% 199.29/199.24 [153]~E(x1531,x1532)+E(f58(x1531,x1533,x1534),f58(x1532,x1533,x1534))
% 199.29/199.24 [154]~E(x1541,x1542)+E(f58(x1543,x1541,x1544),f58(x1543,x1542,x1544))
% 199.29/199.24 [155]~E(x1551,x1552)+E(f58(x1553,x1554,x1551),f58(x1553,x1554,x1552))
% 199.29/199.24 [156]~E(x1561,x1562)+E(f150(x1561,x1563),f150(x1562,x1563))
% 199.29/199.24 [157]~E(x1571,x1572)+E(f150(x1573,x1571),f150(x1573,x1572))
% 199.29/199.24 [158]~E(x1581,x1582)+E(f7(x1581),f7(x1582))
% 199.29/199.24 [159]~E(x1591,x1592)+E(f451(x1591,x1593,x1594),f451(x1592,x1593,x1594))
% 199.29/199.24 [160]~E(x1601,x1602)+E(f451(x1603,x1601,x1604),f451(x1603,x1602,x1604))
% 199.29/199.24 [161]~E(x1611,x1612)+E(f451(x1613,x1614,x1611),f451(x1613,x1614,x1612))
% 199.29/199.24 [162]~E(x1621,x1622)+E(f79(x1621,x1623),f79(x1622,x1623))
% 199.29/199.24 [163]~E(x1631,x1632)+E(f79(x1633,x1631),f79(x1633,x1632))
% 199.29/199.24 [164]~E(x1641,x1642)+E(f20(x1641,x1643,x1644),f20(x1642,x1643,x1644))
% 199.29/199.24 [165]~E(x1651,x1652)+E(f20(x1653,x1651,x1654),f20(x1653,x1652,x1654))
% 199.29/199.24 [166]~E(x1661,x1662)+E(f20(x1663,x1664,x1661),f20(x1663,x1664,x1662))
% 199.29/199.24 [167]~E(x1671,x1672)+E(f100(x1671),f100(x1672))
% 199.29/199.24 [168]~E(x1681,x1682)+E(f126(x1681,x1683),f126(x1682,x1683))
% 199.29/199.24 [169]~E(x1691,x1692)+E(f126(x1693,x1691),f126(x1693,x1692))
% 199.29/199.24 [170]~E(x1701,x1702)+E(f28(x1701),f28(x1702))
% 199.29/199.24 [171]~E(x1711,x1712)+E(f34(x1711,x1713),f34(x1712,x1713))
% 199.29/199.24 [172]~E(x1721,x1722)+E(f34(x1723,x1721),f34(x1723,x1722))
% 199.29/199.24 [173]~E(x1731,x1732)+E(f86(x1731),f86(x1732))
% 199.29/199.24 [174]~E(x1741,x1742)+E(f253(x1741,x1743),f253(x1742,x1743))
% 199.29/199.24 [175]~E(x1751,x1752)+E(f253(x1753,x1751),f253(x1753,x1752))
% 199.29/199.24 [176]~E(x1761,x1762)+E(f115(x1761,x1763),f115(x1762,x1763))
% 199.29/199.24 [177]~E(x1771,x1772)+E(f115(x1773,x1771),f115(x1773,x1772))
% 199.29/199.24 [178]~E(x1781,x1782)+E(f142(x1781,x1783),f142(x1782,x1783))
% 199.29/199.24 [179]~E(x1791,x1792)+E(f142(x1793,x1791),f142(x1793,x1792))
% 199.29/199.24 [180]~E(x1801,x1802)+E(f294(x1801,x1803,x1804),f294(x1802,x1803,x1804))
% 199.29/199.24 [181]~E(x1811,x1812)+E(f294(x1813,x1811,x1814),f294(x1813,x1812,x1814))
% 199.29/199.24 [182]~E(x1821,x1822)+E(f294(x1823,x1824,x1821),f294(x1823,x1824,x1822))
% 199.29/199.24 [183]~E(x1831,x1832)+E(f771(x1831,x1833,x1834,x1835,x1836,x1837,x1838),f771(x1832,x1833,x1834,x1835,x1836,x1837,x1838))
% 199.29/199.24 [184]~E(x1841,x1842)+E(f771(x1843,x1841,x1844,x1845,x1846,x1847,x1848),f771(x1843,x1842,x1844,x1845,x1846,x1847,x1848))
% 199.29/199.24 [185]~E(x1851,x1852)+E(f771(x1853,x1854,x1851,x1855,x1856,x1857,x1858),f771(x1853,x1854,x1852,x1855,x1856,x1857,x1858))
% 199.29/199.24 [186]~E(x1861,x1862)+E(f771(x1863,x1864,x1865,x1861,x1866,x1867,x1868),f771(x1863,x1864,x1865,x1862,x1866,x1867,x1868))
% 199.29/199.24 [187]~E(x1871,x1872)+E(f771(x1873,x1874,x1875,x1876,x1871,x1877,x1878),f771(x1873,x1874,x1875,x1876,x1872,x1877,x1878))
% 199.29/199.24 [188]~E(x1881,x1882)+E(f771(x1883,x1884,x1885,x1886,x1887,x1881,x1888),f771(x1883,x1884,x1885,x1886,x1887,x1882,x1888))
% 199.29/199.24 [189]~E(x1891,x1892)+E(f771(x1893,x1894,x1895,x1896,x1897,x1898,x1891),f771(x1893,x1894,x1895,x1896,x1897,x1898,x1892))
% 199.29/199.24 [190]~E(x1901,x1902)+E(f70(x1901),f70(x1902))
% 199.29/199.24 [191]~E(x1911,x1912)+E(f129(x1911,x1913),f129(x1912,x1913))
% 199.29/199.24 [192]~E(x1921,x1922)+E(f129(x1923,x1921),f129(x1923,x1922))
% 199.29/199.24 [193]~E(x1931,x1932)+E(f257(x1931),f257(x1932))
% 199.29/199.24 [194]~E(x1941,x1942)+E(f80(x1941),f80(x1942))
% 199.29/199.24 [195]~E(x1951,x1952)+E(f131(x1951),f131(x1952))
% 199.29/199.24 [196]~E(x1961,x1962)+E(f155(x1961),f155(x1962))
% 199.29/199.24 [197]~E(x1971,x1972)+E(f698(x1971,x1973),f698(x1972,x1973))
% 199.29/199.24 [198]~E(x1981,x1982)+E(f698(x1983,x1981),f698(x1983,x1982))
% 199.29/199.24 [199]~E(x1991,x1992)+E(f206(x1991,x1993),f206(x1992,x1993))
% 199.29/199.24 [200]~E(x2001,x2002)+E(f206(x2003,x2001),f206(x2003,x2002))
% 199.29/199.24 [201]~E(x2011,x2012)+E(f650(x2011,x2013,x2014,x2015),f650(x2012,x2013,x2014,x2015))
% 199.29/199.24 [202]~E(x2021,x2022)+E(f650(x2023,x2021,x2024,x2025),f650(x2023,x2022,x2024,x2025))
% 199.29/199.24 [203]~E(x2031,x2032)+E(f650(x2033,x2034,x2031,x2035),f650(x2033,x2034,x2032,x2035))
% 199.29/199.24 [204]~E(x2041,x2042)+E(f650(x2043,x2044,x2045,x2041),f650(x2043,x2044,x2045,x2042))
% 199.29/199.24 [205]~E(x2051,x2052)+E(f112(x2051,x2053,x2054,x2055),f112(x2052,x2053,x2054,x2055))
% 199.29/199.24 [206]~E(x2061,x2062)+E(f112(x2063,x2061,x2064,x2065),f112(x2063,x2062,x2064,x2065))
% 199.29/199.24 [207]~E(x2071,x2072)+E(f112(x2073,x2074,x2071,x2075),f112(x2073,x2074,x2072,x2075))
% 199.29/199.24 [208]~E(x2081,x2082)+E(f112(x2083,x2084,x2085,x2081),f112(x2083,x2084,x2085,x2082))
% 199.29/199.24 [209]~E(x2091,x2092)+E(f762(x2091,x2093,x2094,x2095),f762(x2092,x2093,x2094,x2095))
% 199.29/199.24 [210]~E(x2101,x2102)+E(f762(x2103,x2101,x2104,x2105),f762(x2103,x2102,x2104,x2105))
% 199.29/199.24 [211]~E(x2111,x2112)+E(f762(x2113,x2114,x2111,x2115),f762(x2113,x2114,x2112,x2115))
% 199.29/199.24 [212]~E(x2121,x2122)+E(f762(x2123,x2124,x2125,x2121),f762(x2123,x2124,x2125,x2122))
% 199.29/199.24 [213]~E(x2131,x2132)+E(f149(x2131,x2133),f149(x2132,x2133))
% 199.29/199.24 [214]~E(x2141,x2142)+E(f149(x2143,x2141),f149(x2143,x2142))
% 199.29/199.24 [215]~E(x2151,x2152)+E(f447(x2151,x2153,x2154),f447(x2152,x2153,x2154))
% 199.29/199.24 [216]~E(x2161,x2162)+E(f447(x2163,x2161,x2164),f447(x2163,x2162,x2164))
% 199.29/199.24 [217]~E(x2171,x2172)+E(f447(x2173,x2174,x2171),f447(x2173,x2174,x2172))
% 199.29/199.24 [218]~E(x2181,x2182)+E(f128(x2181),f128(x2182))
% 199.29/199.24 [219]~E(x2191,x2192)+E(f247(x2191,x2193,x2194),f247(x2192,x2193,x2194))
% 199.29/199.24 [220]~E(x2201,x2202)+E(f247(x2203,x2201,x2204),f247(x2203,x2202,x2204))
% 199.29/199.24 [221]~E(x2211,x2212)+E(f247(x2213,x2214,x2211),f247(x2213,x2214,x2212))
% 199.29/199.24 [222]~E(x2221,x2222)+E(f35(x2221,x2223),f35(x2222,x2223))
% 199.29/199.24 [223]~E(x2231,x2232)+E(f35(x2233,x2231),f35(x2233,x2232))
% 199.29/199.24 [224]~E(x2241,x2242)+E(f144(x2241,x2243),f144(x2242,x2243))
% 199.29/199.24 [225]~E(x2251,x2252)+E(f144(x2253,x2251),f144(x2253,x2252))
% 199.29/199.24 [226]~E(x2261,x2262)+E(f31(x2261,x2263),f31(x2262,x2263))
% 199.29/199.24 [227]~E(x2271,x2272)+E(f31(x2273,x2271),f31(x2273,x2272))
% 199.29/199.24 [228]~E(x2281,x2282)+E(f234(x2281),f234(x2282))
% 199.29/199.24 [229]~E(x2291,x2292)+E(f301(x2291,x2293,x2294),f301(x2292,x2293,x2294))
% 199.29/199.24 [230]~E(x2301,x2302)+E(f301(x2303,x2301,x2304),f301(x2303,x2302,x2304))
% 199.29/199.24 [231]~E(x2311,x2312)+E(f301(x2313,x2314,x2311),f301(x2313,x2314,x2312))
% 199.29/199.24 [232]~E(x2321,x2322)+E(f272(x2321),f272(x2322))
% 199.29/199.24 [233]~E(x2331,x2332)+E(f826(x2331,x2333,x2334,x2335,x2336,x2337,x2338),f826(x2332,x2333,x2334,x2335,x2336,x2337,x2338))
% 199.29/199.24 [234]~E(x2341,x2342)+E(f826(x2343,x2341,x2344,x2345,x2346,x2347,x2348),f826(x2343,x2342,x2344,x2345,x2346,x2347,x2348))
% 199.29/199.24 [235]~E(x2351,x2352)+E(f826(x2353,x2354,x2351,x2355,x2356,x2357,x2358),f826(x2353,x2354,x2352,x2355,x2356,x2357,x2358))
% 199.29/199.24 [236]~E(x2361,x2362)+E(f826(x2363,x2364,x2365,x2361,x2366,x2367,x2368),f826(x2363,x2364,x2365,x2362,x2366,x2367,x2368))
% 199.29/199.24 [237]~E(x2371,x2372)+E(f826(x2373,x2374,x2375,x2376,x2371,x2377,x2378),f826(x2373,x2374,x2375,x2376,x2372,x2377,x2378))
% 199.29/199.24 [238]~E(x2381,x2382)+E(f826(x2383,x2384,x2385,x2386,x2387,x2381,x2388),f826(x2383,x2384,x2385,x2386,x2387,x2382,x2388))
% 199.29/199.24 [239]~E(x2391,x2392)+E(f826(x2393,x2394,x2395,x2396,x2397,x2398,x2391),f826(x2393,x2394,x2395,x2396,x2397,x2398,x2392))
% 199.29/199.24 [240]~E(x2401,x2402)+E(f159(x2401,x2403,x2404),f159(x2402,x2403,x2404))
% 199.29/199.24 [241]~E(x2411,x2412)+E(f159(x2413,x2411,x2414),f159(x2413,x2412,x2414))
% 199.29/199.24 [242]~E(x2421,x2422)+E(f159(x2423,x2424,x2421),f159(x2423,x2424,x2422))
% 199.29/199.24 [243]~E(x2431,x2432)+E(f104(x2431,x2433),f104(x2432,x2433))
% 199.29/199.24 [244]~E(x2441,x2442)+E(f104(x2443,x2441),f104(x2443,x2442))
% 199.29/199.24 [245]~E(x2451,x2452)+E(f85(x2451,x2453,x2454,x2455),f85(x2452,x2453,x2454,x2455))
% 199.29/199.24 [246]~E(x2461,x2462)+E(f85(x2463,x2461,x2464,x2465),f85(x2463,x2462,x2464,x2465))
% 199.29/199.24 [247]~E(x2471,x2472)+E(f85(x2473,x2474,x2471,x2475),f85(x2473,x2474,x2472,x2475))
% 199.29/199.24 [248]~E(x2481,x2482)+E(f85(x2483,x2484,x2485,x2481),f85(x2483,x2484,x2485,x2482))
% 199.29/199.24 [249]~E(x2491,x2492)+E(f646(x2491,x2493,x2494,x2495),f646(x2492,x2493,x2494,x2495))
% 199.29/199.24 [250]~E(x2501,x2502)+E(f646(x2503,x2501,x2504,x2505),f646(x2503,x2502,x2504,x2505))
% 199.29/199.24 [251]~E(x2511,x2512)+E(f646(x2513,x2514,x2511,x2515),f646(x2513,x2514,x2512,x2515))
% 199.29/199.24 [252]~E(x2521,x2522)+E(f646(x2523,x2524,x2525,x2521),f646(x2523,x2524,x2525,x2522))
% 199.29/199.24 [253]~E(x2531,x2532)+E(f491(x2531,x2533,x2534,x2535,x2536),f491(x2532,x2533,x2534,x2535,x2536))
% 199.29/199.24 [254]~E(x2541,x2542)+E(f491(x2543,x2541,x2544,x2545,x2546),f491(x2543,x2542,x2544,x2545,x2546))
% 199.29/199.24 [255]~E(x2551,x2552)+E(f491(x2553,x2554,x2551,x2555,x2556),f491(x2553,x2554,x2552,x2555,x2556))
% 199.29/199.24 [256]~E(x2561,x2562)+E(f491(x2563,x2564,x2565,x2561,x2566),f491(x2563,x2564,x2565,x2562,x2566))
% 199.29/199.24 [257]~E(x2571,x2572)+E(f491(x2573,x2574,x2575,x2576,x2571),f491(x2573,x2574,x2575,x2576,x2572))
% 199.29/199.24 [258]~E(x2581,x2582)+E(f280(x2581),f280(x2582))
% 199.29/199.24 [259]~E(x2591,x2592)+E(f182(x2591),f182(x2592))
% 199.29/199.24 [260]~E(x2601,x2602)+E(f127(x2601),f127(x2602))
% 199.29/199.24 [261]~E(x2611,x2612)+E(f105(x2611),f105(x2612))
% 199.29/199.24 [262]~E(x2621,x2622)+E(f43(x2621,x2623),f43(x2622,x2623))
% 199.29/199.24 [263]~E(x2631,x2632)+E(f43(x2633,x2631),f43(x2633,x2632))
% 199.29/199.24 [264]~E(x2641,x2642)+E(f908(x2641,x2643),f908(x2642,x2643))
% 199.29/199.24 [265]~E(x2651,x2652)+E(f908(x2653,x2651),f908(x2653,x2652))
% 199.29/199.24 [266]~E(x2661,x2662)+E(f905(x2661,x2663),f905(x2662,x2663))
% 199.29/199.24 [267]~E(x2671,x2672)+E(f905(x2673,x2671),f905(x2673,x2672))
% 199.29/199.24 [268]~E(x2681,x2682)+E(f157(x2681),f157(x2682))
% 199.29/199.24 [269]~E(x2691,x2692)+E(f249(x2691,x2693,x2694,x2695),f249(x2692,x2693,x2694,x2695))
% 199.29/199.24 [270]~E(x2701,x2702)+E(f249(x2703,x2701,x2704,x2705),f249(x2703,x2702,x2704,x2705))
% 199.29/199.24 [271]~E(x2711,x2712)+E(f249(x2713,x2714,x2711,x2715),f249(x2713,x2714,x2712,x2715))
% 199.29/199.24 [272]~E(x2721,x2722)+E(f249(x2723,x2724,x2725,x2721),f249(x2723,x2724,x2725,x2722))
% 199.29/199.24 [273]~E(x2731,x2732)+E(f165(x2731),f165(x2732))
% 199.29/199.24 [274]~E(x2741,x2742)+E(f32(x2741,x2743),f32(x2742,x2743))
% 199.29/199.24 [275]~E(x2751,x2752)+E(f32(x2753,x2751),f32(x2753,x2752))
% 199.29/199.24 [276]~E(x2761,x2762)+E(f161(x2761),f161(x2762))
% 199.29/199.24 [277]~E(x2771,x2772)+E(f298(x2771),f298(x2772))
% 199.29/199.24 [278]~E(x2781,x2782)+E(f760(x2781,x2783,x2784,x2785),f760(x2782,x2783,x2784,x2785))
% 199.29/199.24 [279]~E(x2791,x2792)+E(f760(x2793,x2791,x2794,x2795),f760(x2793,x2792,x2794,x2795))
% 199.29/199.24 [280]~E(x2801,x2802)+E(f760(x2803,x2804,x2801,x2805),f760(x2803,x2804,x2802,x2805))
% 199.29/199.24 [281]~E(x2811,x2812)+E(f760(x2813,x2814,x2815,x2811),f760(x2813,x2814,x2815,x2812))
% 199.29/199.24 [282]~E(x2821,x2822)+E(f138(x2821,x2823,x2824),f138(x2822,x2823,x2824))
% 199.29/199.24 [283]~E(x2831,x2832)+E(f138(x2833,x2831,x2834),f138(x2833,x2832,x2834))
% 199.29/199.24 [284]~E(x2841,x2842)+E(f138(x2843,x2844,x2841),f138(x2843,x2844,x2842))
% 199.29/199.24 [285]~E(x2851,x2852)+E(f11(x2851,x2853),f11(x2852,x2853))
% 199.29/199.24 [286]~E(x2861,x2862)+E(f11(x2863,x2861),f11(x2863,x2862))
% 199.29/199.24 [287]~E(x2871,x2872)+E(f233(x2871,x2873,x2874),f233(x2872,x2873,x2874))
% 199.29/199.24 [288]~E(x2881,x2882)+E(f233(x2883,x2881,x2884),f233(x2883,x2882,x2884))
% 199.29/199.24 [289]~E(x2891,x2892)+E(f233(x2893,x2894,x2891),f233(x2893,x2894,x2892))
% 199.29/199.24 [290]~E(x2901,x2902)+E(f333(x2901,x2903,x2904,x2905),f333(x2902,x2903,x2904,x2905))
% 199.29/199.24 [291]~E(x2911,x2912)+E(f333(x2913,x2911,x2914,x2915),f333(x2913,x2912,x2914,x2915))
% 199.29/199.24 [292]~E(x2921,x2922)+E(f333(x2923,x2924,x2921,x2925),f333(x2923,x2924,x2922,x2925))
% 199.29/199.24 [293]~E(x2931,x2932)+E(f333(x2933,x2934,x2935,x2931),f333(x2933,x2934,x2935,x2932))
% 199.29/199.24 [294]~E(x2941,x2942)+E(f358(x2941,x2943,x2944),f358(x2942,x2943,x2944))
% 199.29/199.24 [295]~E(x2951,x2952)+E(f358(x2953,x2951,x2954),f358(x2953,x2952,x2954))
% 199.29/199.24 [296]~E(x2961,x2962)+E(f358(x2963,x2964,x2961),f358(x2963,x2964,x2962))
% 199.29/199.24 [297]~E(x2971,x2972)+E(f300(x2971,x2973,x2974),f300(x2972,x2973,x2974))
% 199.29/199.24 [298]~E(x2981,x2982)+E(f300(x2983,x2981,x2984),f300(x2983,x2982,x2984))
% 199.29/199.24 [299]~E(x2991,x2992)+E(f300(x2993,x2994,x2991),f300(x2993,x2994,x2992))
% 199.29/199.24 [300]~E(x3001,x3002)+E(f734(x3001,x3003,x3004,x3005),f734(x3002,x3003,x3004,x3005))
% 199.29/199.24 [301]~E(x3011,x3012)+E(f734(x3013,x3011,x3014,x3015),f734(x3013,x3012,x3014,x3015))
% 199.29/199.24 [302]~E(x3021,x3022)+E(f734(x3023,x3024,x3021,x3025),f734(x3023,x3024,x3022,x3025))
% 199.29/199.24 [303]~E(x3031,x3032)+E(f734(x3033,x3034,x3035,x3031),f734(x3033,x3034,x3035,x3032))
% 199.29/199.24 [304]~E(x3041,x3042)+E(f278(x3041,x3043,x3044),f278(x3042,x3043,x3044))
% 199.29/199.24 [305]~E(x3051,x3052)+E(f278(x3053,x3051,x3054),f278(x3053,x3052,x3054))
% 199.29/199.24 [306]~E(x3061,x3062)+E(f278(x3063,x3064,x3061),f278(x3063,x3064,x3062))
% 199.29/199.24 [307]~E(x3071,x3072)+E(f418(x3071,x3073,x3074,x3075),f418(x3072,x3073,x3074,x3075))
% 199.29/199.24 [308]~E(x3081,x3082)+E(f418(x3083,x3081,x3084,x3085),f418(x3083,x3082,x3084,x3085))
% 199.29/199.24 [309]~E(x3091,x3092)+E(f418(x3093,x3094,x3091,x3095),f418(x3093,x3094,x3092,x3095))
% 199.29/199.24 [310]~E(x3101,x3102)+E(f418(x3103,x3104,x3105,x3101),f418(x3103,x3104,x3105,x3102))
% 199.29/199.24 [311]~E(x3111,x3112)+E(f288(x3111,x3113,x3114,x3115),f288(x3112,x3113,x3114,x3115))
% 199.29/199.24 [312]~E(x3121,x3122)+E(f288(x3123,x3121,x3124,x3125),f288(x3123,x3122,x3124,x3125))
% 199.29/199.24 [313]~E(x3131,x3132)+E(f288(x3133,x3134,x3131,x3135),f288(x3133,x3134,x3132,x3135))
% 199.29/199.24 [314]~E(x3141,x3142)+E(f288(x3143,x3144,x3145,x3141),f288(x3143,x3144,x3145,x3142))
% 199.29/199.24 [315]~E(x3151,x3152)+E(f308(x3151,x3153),f308(x3152,x3153))
% 199.29/199.25 [316]~E(x3161,x3162)+E(f308(x3163,x3161),f308(x3163,x3162))
% 199.29/199.25 [317]~E(x3171,x3172)+E(f888(x3171,x3173,x3174),f888(x3172,x3173,x3174))
% 199.29/199.25 [318]~E(x3181,x3182)+E(f888(x3183,x3181,x3184),f888(x3183,x3182,x3184))
% 199.29/199.25 [319]~E(x3191,x3192)+E(f888(x3193,x3194,x3191),f888(x3193,x3194,x3192))
% 199.29/199.25 [320]~E(x3201,x3202)+E(f310(x3201,x3203),f310(x3202,x3203))
% 199.29/199.25 [321]~E(x3211,x3212)+E(f310(x3213,x3211),f310(x3213,x3212))
% 199.29/199.25 [322]~E(x3221,x3222)+E(f658(x3221,x3223,x3224,x3225),f658(x3222,x3223,x3224,x3225))
% 199.29/199.25 [323]~E(x3231,x3232)+E(f658(x3233,x3231,x3234,x3235),f658(x3233,x3232,x3234,x3235))
% 199.29/199.25 [324]~E(x3241,x3242)+E(f658(x3243,x3244,x3241,x3245),f658(x3243,x3244,x3242,x3245))
% 199.29/199.25 [325]~E(x3251,x3252)+E(f658(x3253,x3254,x3255,x3251),f658(x3253,x3254,x3255,x3252))
% 199.29/199.25 [326]~E(x3261,x3262)+E(f297(x3261,x3263),f297(x3262,x3263))
% 199.29/199.25 [327]~E(x3271,x3272)+E(f297(x3273,x3271),f297(x3273,x3272))
% 199.29/199.25 [328]~E(x3281,x3282)+E(f275(x3281,x3283),f275(x3282,x3283))
% 199.29/199.25 [329]~E(x3291,x3292)+E(f275(x3293,x3291),f275(x3293,x3292))
% 199.29/199.25 [330]~E(x3301,x3302)+E(f135(x3301,x3303),f135(x3302,x3303))
% 199.29/199.25 [331]~E(x3311,x3312)+E(f135(x3313,x3311),f135(x3313,x3312))
% 199.29/199.25 [332]~E(x3321,x3322)+E(f455(x3321,x3323,x3324),f455(x3322,x3323,x3324))
% 199.29/199.25 [333]~E(x3331,x3332)+E(f455(x3333,x3331,x3334),f455(x3333,x3332,x3334))
% 199.29/199.25 [334]~E(x3341,x3342)+E(f455(x3343,x3344,x3341),f455(x3343,x3344,x3342))
% 199.29/199.25 [335]~E(x3351,x3352)+E(f160(x3351,x3353,x3354),f160(x3352,x3353,x3354))
% 199.29/199.25 [336]~E(x3361,x3362)+E(f160(x3363,x3361,x3364),f160(x3363,x3362,x3364))
% 199.29/199.25 [337]~E(x3371,x3372)+E(f160(x3373,x3374,x3371),f160(x3373,x3374,x3372))
% 199.29/199.25 [338]~E(x3381,x3382)+E(f407(x3381,x3383,x3384),f407(x3382,x3383,x3384))
% 199.29/199.25 [339]~E(x3391,x3392)+E(f407(x3393,x3391,x3394),f407(x3393,x3392,x3394))
% 199.29/199.25 [340]~E(x3401,x3402)+E(f407(x3403,x3404,x3401),f407(x3403,x3404,x3402))
% 199.29/199.25 [341]~E(x3411,x3412)+E(f173(x3411,x3413),f173(x3412,x3413))
% 199.29/199.25 [342]~E(x3421,x3422)+E(f173(x3423,x3421),f173(x3423,x3422))
% 199.29/199.25 [343]~E(x3431,x3432)+E(f260(x3431,x3433),f260(x3432,x3433))
% 199.29/199.25 [344]~E(x3441,x3442)+E(f260(x3443,x3441),f260(x3443,x3442))
% 199.29/199.25 [345]~E(x3451,x3452)+E(f842(x3451,x3453,x3454),f842(x3452,x3453,x3454))
% 199.29/199.25 [346]~E(x3461,x3462)+E(f842(x3463,x3461,x3464),f842(x3463,x3462,x3464))
% 199.29/199.25 [347]~E(x3471,x3472)+E(f842(x3473,x3474,x3471),f842(x3473,x3474,x3472))
% 199.29/199.25 [348]~E(x3481,x3482)+E(f781(x3481,x3483,x3484,x3485,x3486),f781(x3482,x3483,x3484,x3485,x3486))
% 199.29/199.25 [349]~E(x3491,x3492)+E(f781(x3493,x3491,x3494,x3495,x3496),f781(x3493,x3492,x3494,x3495,x3496))
% 199.29/199.25 [350]~E(x3501,x3502)+E(f781(x3503,x3504,x3501,x3505,x3506),f781(x3503,x3504,x3502,x3505,x3506))
% 199.29/199.25 [351]~E(x3511,x3512)+E(f781(x3513,x3514,x3515,x3511,x3516),f781(x3513,x3514,x3515,x3512,x3516))
% 199.29/199.25 [352]~E(x3521,x3522)+E(f781(x3523,x3524,x3525,x3526,x3521),f781(x3523,x3524,x3525,x3526,x3522))
% 199.29/199.25 [353]~E(x3531,x3532)+E(f497(x3531),f497(x3532))
% 199.29/199.25 [354]~E(x3541,x3542)+E(f169(x3541,x3543),f169(x3542,x3543))
% 199.29/199.25 [355]~E(x3551,x3552)+E(f169(x3553,x3551),f169(x3553,x3552))
% 199.29/199.25 [356]~E(x3561,x3562)+E(f814(x3561,x3563,x3564,x3565),f814(x3562,x3563,x3564,x3565))
% 199.29/199.25 [357]~E(x3571,x3572)+E(f814(x3573,x3571,x3574,x3575),f814(x3573,x3572,x3574,x3575))
% 199.29/199.25 [358]~E(x3581,x3582)+E(f814(x3583,x3584,x3581,x3585),f814(x3583,x3584,x3582,x3585))
% 199.29/199.25 [359]~E(x3591,x3592)+E(f814(x3593,x3594,x3595,x3591),f814(x3593,x3594,x3595,x3592))
% 199.29/199.25 [360]~E(x3601,x3602)+E(f132(x3601,x3603,x3604,x3605),f132(x3602,x3603,x3604,x3605))
% 199.29/199.25 [361]~E(x3611,x3612)+E(f132(x3613,x3611,x3614,x3615),f132(x3613,x3612,x3614,x3615))
% 199.29/199.25 [362]~E(x3621,x3622)+E(f132(x3623,x3624,x3621,x3625),f132(x3623,x3624,x3622,x3625))
% 199.29/199.25 [363]~E(x3631,x3632)+E(f132(x3633,x3634,x3635,x3631),f132(x3633,x3634,x3635,x3632))
% 199.29/199.25 [364]~E(x3641,x3642)+E(f291(x3641),f291(x3642))
% 199.29/199.25 [365]~E(x3651,x3652)+E(f109(x3651),f109(x3652))
% 199.29/199.25 [366]~E(x3661,x3662)+E(f110(x3661,x3663),f110(x3662,x3663))
% 199.29/199.25 [367]~E(x3671,x3672)+E(f110(x3673,x3671),f110(x3673,x3672))
% 199.29/199.25 [368]~E(x3681,x3682)+E(f248(x3681,x3683,x3684,x3685,x3686,x3687),f248(x3682,x3683,x3684,x3685,x3686,x3687))
% 199.29/199.25 [369]~E(x3691,x3692)+E(f248(x3693,x3691,x3694,x3695,x3696,x3697),f248(x3693,x3692,x3694,x3695,x3696,x3697))
% 199.29/199.25 [370]~E(x3701,x3702)+E(f248(x3703,x3704,x3701,x3705,x3706,x3707),f248(x3703,x3704,x3702,x3705,x3706,x3707))
% 199.29/199.25 [371]~E(x3711,x3712)+E(f248(x3713,x3714,x3715,x3711,x3716,x3717),f248(x3713,x3714,x3715,x3712,x3716,x3717))
% 199.29/199.25 [372]~E(x3721,x3722)+E(f248(x3723,x3724,x3725,x3726,x3721,x3727),f248(x3723,x3724,x3725,x3726,x3722,x3727))
% 199.29/199.25 [373]~E(x3731,x3732)+E(f248(x3733,x3734,x3735,x3736,x3737,x3731),f248(x3733,x3734,x3735,x3736,x3737,x3732))
% 199.29/199.25 [374]~E(x3741,x3742)+E(f17(x3741,x3743),f17(x3742,x3743))
% 199.29/199.25 [375]~E(x3751,x3752)+E(f17(x3753,x3751),f17(x3753,x3752))
% 199.29/199.25 [376]~E(x3761,x3762)+E(f12(x3761,x3763),f12(x3762,x3763))
% 199.29/199.25 [377]~E(x3771,x3772)+E(f12(x3773,x3771),f12(x3773,x3772))
% 199.29/199.25 [378]~E(x3781,x3782)+E(f168(x3781,x3783),f168(x3782,x3783))
% 199.29/199.25 [379]~E(x3791,x3792)+E(f168(x3793,x3791),f168(x3793,x3792))
% 199.29/199.25 [380]~E(x3801,x3802)+E(f274(x3801,x3803,x3804),f274(x3802,x3803,x3804))
% 199.29/199.25 [381]~E(x3811,x3812)+E(f274(x3813,x3811,x3814),f274(x3813,x3812,x3814))
% 199.29/199.25 [382]~E(x3821,x3822)+E(f274(x3823,x3824,x3821),f274(x3823,x3824,x3822))
% 199.29/199.25 [383]~E(x3831,x3832)+E(f454(x3831,x3833,x3834),f454(x3832,x3833,x3834))
% 199.29/199.25 [384]~E(x3841,x3842)+E(f454(x3843,x3841,x3844),f454(x3843,x3842,x3844))
% 199.29/199.25 [385]~E(x3851,x3852)+E(f454(x3853,x3854,x3851),f454(x3853,x3854,x3852))
% 199.29/199.25 [386]~E(x3861,x3862)+E(f84(x3861,x3863),f84(x3862,x3863))
% 199.29/199.25 [387]~E(x3871,x3872)+E(f84(x3873,x3871),f84(x3873,x3872))
% 199.29/199.25 [388]~E(x3881,x3882)+E(f14(x3881,x3883,x3884),f14(x3882,x3883,x3884))
% 199.29/199.25 [389]~E(x3891,x3892)+E(f14(x3893,x3891,x3894),f14(x3893,x3892,x3894))
% 199.29/199.25 [390]~E(x3901,x3902)+E(f14(x3903,x3904,x3901),f14(x3903,x3904,x3902))
% 199.29/199.25 [391]~E(x3911,x3912)+E(f143(x3911,x3913),f143(x3912,x3913))
% 199.29/199.25 [392]~E(x3921,x3922)+E(f143(x3923,x3921),f143(x3923,x3922))
% 199.29/199.25 [393]~E(x3931,x3932)+E(f615(x3931,x3933,x3934,x3935),f615(x3932,x3933,x3934,x3935))
% 199.29/199.25 [394]~E(x3941,x3942)+E(f615(x3943,x3941,x3944,x3945),f615(x3943,x3942,x3944,x3945))
% 199.29/199.25 [395]~E(x3951,x3952)+E(f615(x3953,x3954,x3951,x3955),f615(x3953,x3954,x3952,x3955))
% 199.29/199.25 [396]~E(x3961,x3962)+E(f615(x3963,x3964,x3965,x3961),f615(x3963,x3964,x3965,x3962))
% 199.29/199.25 [397]~E(x3971,x3972)+E(f166(x3971,x3973,x3974),f166(x3972,x3973,x3974))
% 199.29/199.25 [398]~E(x3981,x3982)+E(f166(x3983,x3981,x3984),f166(x3983,x3982,x3984))
% 199.29/199.25 [399]~E(x3991,x3992)+E(f166(x3993,x3994,x3991),f166(x3993,x3994,x3992))
% 199.29/199.25 [400]~E(x4001,x4002)+E(f679(x4001,x4003,x4004,x4005),f679(x4002,x4003,x4004,x4005))
% 199.29/199.25 [401]~E(x4011,x4012)+E(f679(x4013,x4011,x4014,x4015),f679(x4013,x4012,x4014,x4015))
% 199.29/199.25 [402]~E(x4021,x4022)+E(f679(x4023,x4024,x4021,x4025),f679(x4023,x4024,x4022,x4025))
% 199.29/199.25 [403]~E(x4031,x4032)+E(f679(x4033,x4034,x4035,x4031),f679(x4033,x4034,x4035,x4032))
% 199.29/199.25 [404]~E(x4041,x4042)+E(f445(x4041,x4043,x4044),f445(x4042,x4043,x4044))
% 199.29/199.25 [405]~E(x4051,x4052)+E(f445(x4053,x4051,x4054),f445(x4053,x4052,x4054))
% 199.29/199.25 [406]~E(x4061,x4062)+E(f445(x4063,x4064,x4061),f445(x4063,x4064,x4062))
% 199.29/199.25 [407]~E(x4071,x4072)+E(f323(x4071),f323(x4072))
% 199.29/199.25 [408]~E(x4081,x4082)+E(f554(x4081,x4083,x4084),f554(x4082,x4083,x4084))
% 199.29/199.25 [409]~E(x4091,x4092)+E(f554(x4093,x4091,x4094),f554(x4093,x4092,x4094))
% 199.29/199.25 [410]~E(x4101,x4102)+E(f554(x4103,x4104,x4101),f554(x4103,x4104,x4102))
% 199.29/199.25 [411]~E(x4111,x4112)+E(f243(x4111,x4113,x4114,x4115,x4116),f243(x4112,x4113,x4114,x4115,x4116))
% 199.29/199.25 [412]~E(x4121,x4122)+E(f243(x4123,x4121,x4124,x4125,x4126),f243(x4123,x4122,x4124,x4125,x4126))
% 199.29/199.25 [413]~E(x4131,x4132)+E(f243(x4133,x4134,x4131,x4135,x4136),f243(x4133,x4134,x4132,x4135,x4136))
% 199.29/199.25 [414]~E(x4141,x4142)+E(f243(x4143,x4144,x4145,x4141,x4146),f243(x4143,x4144,x4145,x4142,x4146))
% 199.29/199.25 [415]~E(x4151,x4152)+E(f243(x4153,x4154,x4155,x4156,x4151),f243(x4153,x4154,x4155,x4156,x4152))
% 199.29/199.25 [416]~E(x4161,x4162)+E(f41(x4161,x4163),f41(x4162,x4163))
% 199.29/199.25 [417]~E(x4171,x4172)+E(f41(x4173,x4171),f41(x4173,x4172))
% 199.29/199.25 [418]~E(x4181,x4182)+E(f295(x4181,x4183,x4184),f295(x4182,x4183,x4184))
% 199.29/199.25 [419]~E(x4191,x4192)+E(f295(x4193,x4191,x4194),f295(x4193,x4192,x4194))
% 199.29/199.25 [420]~E(x4201,x4202)+E(f295(x4203,x4204,x4201),f295(x4203,x4204,x4202))
% 199.29/199.25 [421]~E(x4211,x4212)+E(f437(x4211,x4213,x4214),f437(x4212,x4213,x4214))
% 199.29/199.25 [422]~E(x4221,x4222)+E(f437(x4223,x4221,x4224),f437(x4223,x4222,x4224))
% 199.29/199.25 [423]~E(x4231,x4232)+E(f437(x4233,x4234,x4231),f437(x4233,x4234,x4232))
% 199.29/199.25 [424]~E(x4241,x4242)+E(f479(x4241,x4243),f479(x4242,x4243))
% 199.29/199.25 [425]~E(x4251,x4252)+E(f479(x4253,x4251),f479(x4253,x4252))
% 199.29/199.25 [426]~E(x4261,x4262)+E(f557(x4261,x4263,x4264,x4265),f557(x4262,x4263,x4264,x4265))
% 199.29/199.25 [427]~E(x4271,x4272)+E(f557(x4273,x4271,x4274,x4275),f557(x4273,x4272,x4274,x4275))
% 199.29/199.25 [428]~E(x4281,x4282)+E(f557(x4283,x4284,x4281,x4285),f557(x4283,x4284,x4282,x4285))
% 199.29/199.25 [429]~E(x4291,x4292)+E(f557(x4293,x4294,x4295,x4291),f557(x4293,x4294,x4295,x4292))
% 199.29/199.25 [430]~E(x4301,x4302)+E(f567(x4301,x4303),f567(x4302,x4303))
% 199.29/199.25 [431]~E(x4311,x4312)+E(f567(x4313,x4311),f567(x4313,x4312))
% 199.29/199.25 [432]~E(x4321,x4322)+E(f119(x4321),f119(x4322))
% 199.29/199.25 [433]~E(x4331,x4332)+E(f637(x4331,x4333,x4334,x4335,x4336),f637(x4332,x4333,x4334,x4335,x4336))
% 199.29/199.25 [434]~E(x4341,x4342)+E(f637(x4343,x4341,x4344,x4345,x4346),f637(x4343,x4342,x4344,x4345,x4346))
% 199.29/199.25 [435]~E(x4351,x4352)+E(f637(x4353,x4354,x4351,x4355,x4356),f637(x4353,x4354,x4352,x4355,x4356))
% 199.29/199.25 [436]~E(x4361,x4362)+E(f637(x4363,x4364,x4365,x4361,x4366),f637(x4363,x4364,x4365,x4362,x4366))
% 199.29/199.25 [437]~E(x4371,x4372)+E(f637(x4373,x4374,x4375,x4376,x4371),f637(x4373,x4374,x4375,x4376,x4372))
% 199.29/199.25 [438]~E(x4381,x4382)+E(f542(x4381,x4383,x4384,x4385,x4386,x4387,x4388,x4389),f542(x4382,x4383,x4384,x4385,x4386,x4387,x4388,x4389))
% 199.29/199.25 [439]~E(x4391,x4392)+E(f542(x4393,x4391,x4394,x4395,x4396,x4397,x4398,x4399),f542(x4393,x4392,x4394,x4395,x4396,x4397,x4398,x4399))
% 199.29/199.25 [440]~E(x4401,x4402)+E(f542(x4403,x4404,x4401,x4405,x4406,x4407,x4408,x4409),f542(x4403,x4404,x4402,x4405,x4406,x4407,x4408,x4409))
% 199.29/199.25 [441]~E(x4411,x4412)+E(f542(x4413,x4414,x4415,x4411,x4416,x4417,x4418,x4419),f542(x4413,x4414,x4415,x4412,x4416,x4417,x4418,x4419))
% 199.29/199.25 [442]~E(x4421,x4422)+E(f542(x4423,x4424,x4425,x4426,x4421,x4427,x4428,x4429),f542(x4423,x4424,x4425,x4426,x4422,x4427,x4428,x4429))
% 199.29/199.25 [443]~E(x4431,x4432)+E(f542(x4433,x4434,x4435,x4436,x4437,x4431,x4438,x4439),f542(x4433,x4434,x4435,x4436,x4437,x4432,x4438,x4439))
% 199.29/199.25 [444]~E(x4441,x4442)+E(f542(x4443,x4444,x4445,x4446,x4447,x4448,x4441,x4449),f542(x4443,x4444,x4445,x4446,x4447,x4448,x4442,x4449))
% 199.29/199.25 [445]~E(x4451,x4452)+E(f542(x4453,x4454,x4455,x4456,x4457,x4458,x4459,x4451),f542(x4453,x4454,x4455,x4456,x4457,x4458,x4459,x4452))
% 199.29/199.25 [446]~E(x4461,x4462)+E(f468(x4461,x4463,x4464,x4465),f468(x4462,x4463,x4464,x4465))
% 199.29/199.25 [447]~E(x4471,x4472)+E(f468(x4473,x4471,x4474,x4475),f468(x4473,x4472,x4474,x4475))
% 199.29/199.25 [448]~E(x4481,x4482)+E(f468(x4483,x4484,x4481,x4485),f468(x4483,x4484,x4482,x4485))
% 199.29/199.25 [449]~E(x4491,x4492)+E(f468(x4493,x4494,x4495,x4491),f468(x4493,x4494,x4495,x4492))
% 199.29/199.25 [450]~E(x4501,x4502)+E(f133(x4501,x4503),f133(x4502,x4503))
% 199.29/199.25 [451]~E(x4511,x4512)+E(f133(x4513,x4511),f133(x4513,x4512))
% 199.29/199.25 [452]~E(x4521,x4522)+E(f292(x4521),f292(x4522))
% 199.29/199.25 [453]~E(x4531,x4532)+E(f254(x4531,x4533),f254(x4532,x4533))
% 199.29/199.25 [454]~E(x4541,x4542)+E(f254(x4543,x4541),f254(x4543,x4542))
% 199.29/199.25 [455]~E(x4551,x4552)+E(f475(x4551,x4553,x4554,x4555,x4556),f475(x4552,x4553,x4554,x4555,x4556))
% 199.29/199.25 [456]~E(x4561,x4562)+E(f475(x4563,x4561,x4564,x4565,x4566),f475(x4563,x4562,x4564,x4565,x4566))
% 199.29/199.25 [457]~E(x4571,x4572)+E(f475(x4573,x4574,x4571,x4575,x4576),f475(x4573,x4574,x4572,x4575,x4576))
% 199.29/199.25 [458]~E(x4581,x4582)+E(f475(x4583,x4584,x4585,x4581,x4586),f475(x4583,x4584,x4585,x4582,x4586))
% 199.29/199.25 [459]~E(x4591,x4592)+E(f475(x4593,x4594,x4595,x4596,x4591),f475(x4593,x4594,x4595,x4596,x4592))
% 199.29/199.25 [460]~E(x4601,x4602)+E(f82(x4601,x4603),f82(x4602,x4603))
% 199.29/199.25 [461]~E(x4611,x4612)+E(f82(x4613,x4611),f82(x4613,x4612))
% 199.29/199.25 [462]~E(x4621,x4622)+E(f214(x4621,x4623,x4624,x4625,x4626),f214(x4622,x4623,x4624,x4625,x4626))
% 199.29/199.25 [463]~E(x4631,x4632)+E(f214(x4633,x4631,x4634,x4635,x4636),f214(x4633,x4632,x4634,x4635,x4636))
% 199.29/199.25 [464]~E(x4641,x4642)+E(f214(x4643,x4644,x4641,x4645,x4646),f214(x4643,x4644,x4642,x4645,x4646))
% 199.29/199.25 [465]~E(x4651,x4652)+E(f214(x4653,x4654,x4655,x4651,x4656),f214(x4653,x4654,x4655,x4652,x4656))
% 199.29/199.25 [466]~E(x4661,x4662)+E(f214(x4663,x4664,x4665,x4666,x4661),f214(x4663,x4664,x4665,x4666,x4662))
% 199.29/199.25 [467]~E(x4671,x4672)+E(f59(x4671,x4673,x4674),f59(x4672,x4673,x4674))
% 199.29/199.25 [468]~E(x4681,x4682)+E(f59(x4683,x4681,x4684),f59(x4683,x4682,x4684))
% 199.29/199.25 [469]~E(x4691,x4692)+E(f59(x4693,x4694,x4691),f59(x4693,x4694,x4692))
% 199.29/199.25 [470]~E(x4701,x4702)+E(f13(x4701,x4703),f13(x4702,x4703))
% 199.29/199.25 [471]~E(x4711,x4712)+E(f13(x4713,x4711),f13(x4713,x4712))
% 199.29/199.25 [472]~E(x4721,x4722)+E(f831(x4721,x4723,x4724,x4725,x4726,x4727),f831(x4722,x4723,x4724,x4725,x4726,x4727))
% 199.29/199.25 [473]~E(x4731,x4732)+E(f831(x4733,x4731,x4734,x4735,x4736,x4737),f831(x4733,x4732,x4734,x4735,x4736,x4737))
% 199.29/199.25 [474]~E(x4741,x4742)+E(f831(x4743,x4744,x4741,x4745,x4746,x4747),f831(x4743,x4744,x4742,x4745,x4746,x4747))
% 199.29/199.25 [475]~E(x4751,x4752)+E(f831(x4753,x4754,x4755,x4751,x4756,x4757),f831(x4753,x4754,x4755,x4752,x4756,x4757))
% 199.29/199.25 [476]~E(x4761,x4762)+E(f831(x4763,x4764,x4765,x4766,x4761,x4767),f831(x4763,x4764,x4765,x4766,x4762,x4767))
% 199.29/199.25 [477]~E(x4771,x4772)+E(f831(x4773,x4774,x4775,x4776,x4777,x4771),f831(x4773,x4774,x4775,x4776,x4777,x4772))
% 199.29/199.25 [478]~E(x4781,x4782)+E(f304(x4781),f304(x4782))
% 199.29/199.25 [479]~E(x4791,x4792)+E(f609(x4791,x4793,x4794,x4795,x4796),f609(x4792,x4793,x4794,x4795,x4796))
% 199.29/199.25 [480]~E(x4801,x4802)+E(f609(x4803,x4801,x4804,x4805,x4806),f609(x4803,x4802,x4804,x4805,x4806))
% 199.29/199.25 [481]~E(x4811,x4812)+E(f609(x4813,x4814,x4811,x4815,x4816),f609(x4813,x4814,x4812,x4815,x4816))
% 199.29/199.25 [482]~E(x4821,x4822)+E(f609(x4823,x4824,x4825,x4821,x4826),f609(x4823,x4824,x4825,x4822,x4826))
% 199.29/199.25 [483]~E(x4831,x4832)+E(f609(x4833,x4834,x4835,x4836,x4831),f609(x4833,x4834,x4835,x4836,x4832))
% 199.29/199.25 [484]~E(x4841,x4842)+E(f51(x4841),f51(x4842))
% 199.29/199.25 [485]~E(x4851,x4852)+E(f691(x4851,x4853),f691(x4852,x4853))
% 199.29/199.25 [486]~E(x4861,x4862)+E(f691(x4863,x4861),f691(x4863,x4862))
% 199.29/199.25 [487]~E(x4871,x4872)+E(f562(x4871,x4873,x4874,x4875),f562(x4872,x4873,x4874,x4875))
% 199.29/199.25 [488]~E(x4881,x4882)+E(f562(x4883,x4881,x4884,x4885),f562(x4883,x4882,x4884,x4885))
% 199.29/199.25 [489]~E(x4891,x4892)+E(f562(x4893,x4894,x4891,x4895),f562(x4893,x4894,x4892,x4895))
% 199.29/199.25 [490]~E(x4901,x4902)+E(f562(x4903,x4904,x4905,x4901),f562(x4903,x4904,x4905,x4902))
% 199.29/199.25 [491]~E(x4911,x4912)+E(f48(x4911,x4913),f48(x4912,x4913))
% 199.29/199.25 [492]~E(x4921,x4922)+E(f48(x4923,x4921),f48(x4923,x4922))
% 199.29/199.25 [493]~E(x4931,x4932)+E(f396(x4931,x4933,x4934,x4935),f396(x4932,x4933,x4934,x4935))
% 199.29/199.25 [494]~E(x4941,x4942)+E(f396(x4943,x4941,x4944,x4945),f396(x4943,x4942,x4944,x4945))
% 199.29/199.25 [495]~E(x4951,x4952)+E(f396(x4953,x4954,x4951,x4955),f396(x4953,x4954,x4952,x4955))
% 199.29/199.25 [496]~E(x4961,x4962)+E(f396(x4963,x4964,x4965,x4961),f396(x4963,x4964,x4965,x4962))
% 199.29/199.25 [497]~E(x4971,x4972)+E(f846(x4971,x4973,x4974),f846(x4972,x4973,x4974))
% 199.29/199.25 [498]~E(x4981,x4982)+E(f846(x4983,x4981,x4984),f846(x4983,x4982,x4984))
% 199.29/199.25 [499]~E(x4991,x4992)+E(f846(x4993,x4994,x4991),f846(x4993,x4994,x4992))
% 199.29/199.25 [500]~E(x5001,x5002)+E(f881(x5001,x5003,x5004,x5005,x5006,x5007,x5008),f881(x5002,x5003,x5004,x5005,x5006,x5007,x5008))
% 199.29/199.25 [501]~E(x5011,x5012)+E(f881(x5013,x5011,x5014,x5015,x5016,x5017,x5018),f881(x5013,x5012,x5014,x5015,x5016,x5017,x5018))
% 199.29/199.25 [502]~E(x5021,x5022)+E(f881(x5023,x5024,x5021,x5025,x5026,x5027,x5028),f881(x5023,x5024,x5022,x5025,x5026,x5027,x5028))
% 199.29/199.25 [503]~E(x5031,x5032)+E(f881(x5033,x5034,x5035,x5031,x5036,x5037,x5038),f881(x5033,x5034,x5035,x5032,x5036,x5037,x5038))
% 199.29/199.25 [504]~E(x5041,x5042)+E(f881(x5043,x5044,x5045,x5046,x5041,x5047,x5048),f881(x5043,x5044,x5045,x5046,x5042,x5047,x5048))
% 199.29/199.25 [505]~E(x5051,x5052)+E(f881(x5053,x5054,x5055,x5056,x5057,x5051,x5058),f881(x5053,x5054,x5055,x5056,x5057,x5052,x5058))
% 199.29/199.25 [506]~E(x5061,x5062)+E(f881(x5063,x5064,x5065,x5066,x5067,x5068,x5061),f881(x5063,x5064,x5065,x5066,x5067,x5068,x5062))
% 199.29/199.25 [507]~E(x5071,x5072)+E(f69(x5071,x5073,x5074,x5075,x5076),f69(x5072,x5073,x5074,x5075,x5076))
% 199.29/199.25 [508]~E(x5081,x5082)+E(f69(x5083,x5081,x5084,x5085,x5086),f69(x5083,x5082,x5084,x5085,x5086))
% 199.29/199.25 [509]~E(x5091,x5092)+E(f69(x5093,x5094,x5091,x5095,x5096),f69(x5093,x5094,x5092,x5095,x5096))
% 199.29/199.25 [510]~E(x5101,x5102)+E(f69(x5103,x5104,x5105,x5101,x5106),f69(x5103,x5104,x5105,x5102,x5106))
% 199.29/199.25 [511]~E(x5111,x5112)+E(f69(x5113,x5114,x5115,x5116,x5111),f69(x5113,x5114,x5115,x5116,x5112))
% 199.29/199.25 [512]~E(x5121,x5122)+E(f849(x5121,x5123,x5124),f849(x5122,x5123,x5124))
% 199.29/199.25 [513]~E(x5131,x5132)+E(f849(x5133,x5131,x5134),f849(x5133,x5132,x5134))
% 199.29/199.25 [514]~E(x5141,x5142)+E(f849(x5143,x5144,x5141),f849(x5143,x5144,x5142))
% 199.29/199.25 [515]~E(x5151,x5152)+E(f306(x5151,x5153),f306(x5152,x5153))
% 199.29/199.25 [516]~E(x5161,x5162)+E(f306(x5163,x5161),f306(x5163,x5162))
% 199.29/199.25 [517]~E(x5171,x5172)+E(f764(x5171,x5173,x5174),f764(x5172,x5173,x5174))
% 199.29/199.25 [518]~E(x5181,x5182)+E(f764(x5183,x5181,x5184),f764(x5183,x5182,x5184))
% 199.29/199.25 [519]~E(x5191,x5192)+E(f764(x5193,x5194,x5191),f764(x5193,x5194,x5192))
% 199.29/199.25 [520]~E(x5201,x5202)+E(f514(x5201,x5203,x5204,x5205),f514(x5202,x5203,x5204,x5205))
% 199.29/199.25 [521]~E(x5211,x5212)+E(f514(x5213,x5211,x5214,x5215),f514(x5213,x5212,x5214,x5215))
% 199.29/199.25 [522]~E(x5221,x5222)+E(f514(x5223,x5224,x5221,x5225),f514(x5223,x5224,x5222,x5225))
% 199.29/199.25 [523]~E(x5231,x5232)+E(f514(x5233,x5234,x5235,x5231),f514(x5233,x5234,x5235,x5232))
% 199.29/199.25 [524]~E(x5241,x5242)+E(f815(x5241,x5243,x5244),f815(x5242,x5243,x5244))
% 199.29/199.25 [525]~E(x5251,x5252)+E(f815(x5253,x5251,x5254),f815(x5253,x5252,x5254))
% 199.29/199.25 [526]~E(x5261,x5262)+E(f815(x5263,x5264,x5261),f815(x5263,x5264,x5262))
% 199.29/199.25 [527]~E(x5271,x5272)+E(f438(x5271,x5273,x5274,x5275),f438(x5272,x5273,x5274,x5275))
% 199.29/199.25 [528]~E(x5281,x5282)+E(f438(x5283,x5281,x5284,x5285),f438(x5283,x5282,x5284,x5285))
% 199.29/199.25 [529]~E(x5291,x5292)+E(f438(x5293,x5294,x5291,x5295),f438(x5293,x5294,x5292,x5295))
% 199.29/199.25 [530]~E(x5301,x5302)+E(f438(x5303,x5304,x5305,x5301),f438(x5303,x5304,x5305,x5302))
% 199.29/199.25 [531]~E(x5311,x5312)+E(f45(x5311,x5313),f45(x5312,x5313))
% 199.29/199.25 [532]~E(x5321,x5322)+E(f45(x5323,x5321),f45(x5323,x5322))
% 199.29/199.25 [533]~E(x5331,x5332)+E(f787(x5331),f787(x5332))
% 199.29/199.25 [534]~E(x5341,x5342)+E(f733(x5341,x5343,x5344),f733(x5342,x5343,x5344))
% 199.29/199.25 [535]~E(x5351,x5352)+E(f733(x5353,x5351,x5354),f733(x5353,x5352,x5354))
% 199.29/199.25 [536]~E(x5361,x5362)+E(f733(x5363,x5364,x5361),f733(x5363,x5364,x5362))
% 199.29/199.25 [537]~E(x5371,x5372)+E(f137(x5371,x5373),f137(x5372,x5373))
% 199.29/199.25 [538]~E(x5381,x5382)+E(f137(x5383,x5381),f137(x5383,x5382))
% 199.29/199.25 [539]~E(x5391,x5392)+E(f677(x5391,x5393,x5394,x5395,x5396),f677(x5392,x5393,x5394,x5395,x5396))
% 199.29/199.25 [540]~E(x5401,x5402)+E(f677(x5403,x5401,x5404,x5405,x5406),f677(x5403,x5402,x5404,x5405,x5406))
% 199.29/199.25 [541]~E(x5411,x5412)+E(f677(x5413,x5414,x5411,x5415,x5416),f677(x5413,x5414,x5412,x5415,x5416))
% 199.29/199.25 [542]~E(x5421,x5422)+E(f677(x5423,x5424,x5425,x5421,x5426),f677(x5423,x5424,x5425,x5422,x5426))
% 199.29/199.25 [543]~E(x5431,x5432)+E(f677(x5433,x5434,x5435,x5436,x5431),f677(x5433,x5434,x5435,x5436,x5432))
% 199.29/199.25 [544]~E(x5441,x5442)+E(f52(x5441),f52(x5442))
% 199.29/199.25 [545]~E(x5451,x5452)+E(f857(x5451,x5453,x5454,x5455,x5456),f857(x5452,x5453,x5454,x5455,x5456))
% 199.29/199.25 [546]~E(x5461,x5462)+E(f857(x5463,x5461,x5464,x5465,x5466),f857(x5463,x5462,x5464,x5465,x5466))
% 199.29/199.25 [547]~E(x5471,x5472)+E(f857(x5473,x5474,x5471,x5475,x5476),f857(x5473,x5474,x5472,x5475,x5476))
% 199.29/199.25 [548]~E(x5481,x5482)+E(f857(x5483,x5484,x5485,x5481,x5486),f857(x5483,x5484,x5485,x5482,x5486))
% 199.29/199.25 [549]~E(x5491,x5492)+E(f857(x5493,x5494,x5495,x5496,x5491),f857(x5493,x5494,x5495,x5496,x5492))
% 199.29/199.25 [550]~E(x5501,x5502)+E(f891(x5501,x5503,x5504),f891(x5502,x5503,x5504))
% 199.29/199.25 [551]~E(x5511,x5512)+E(f891(x5513,x5511,x5514),f891(x5513,x5512,x5514))
% 199.29/199.25 [552]~E(x5521,x5522)+E(f891(x5523,x5524,x5521),f891(x5523,x5524,x5522))
% 199.29/199.25 [553]~E(x5531,x5532)+E(f715(x5531,x5533,x5534,x5535,x5536,x5537,x5538,x5539),f715(x5532,x5533,x5534,x5535,x5536,x5537,x5538,x5539))
% 199.29/199.25 [554]~E(x5541,x5542)+E(f715(x5543,x5541,x5544,x5545,x5546,x5547,x5548,x5549),f715(x5543,x5542,x5544,x5545,x5546,x5547,x5548,x5549))
% 199.29/199.25 [555]~E(x5551,x5552)+E(f715(x5553,x5554,x5551,x5555,x5556,x5557,x5558,x5559),f715(x5553,x5554,x5552,x5555,x5556,x5557,x5558,x5559))
% 199.29/199.25 [556]~E(x5561,x5562)+E(f715(x5563,x5564,x5565,x5561,x5566,x5567,x5568,x5569),f715(x5563,x5564,x5565,x5562,x5566,x5567,x5568,x5569))
% 199.29/199.25 [557]~E(x5571,x5572)+E(f715(x5573,x5574,x5575,x5576,x5571,x5577,x5578,x5579),f715(x5573,x5574,x5575,x5576,x5572,x5577,x5578,x5579))
% 199.29/199.25 [558]~E(x5581,x5582)+E(f715(x5583,x5584,x5585,x5586,x5587,x5581,x5588,x5589),f715(x5583,x5584,x5585,x5586,x5587,x5582,x5588,x5589))
% 199.29/199.25 [559]~E(x5591,x5592)+E(f715(x5593,x5594,x5595,x5596,x5597,x5598,x5591,x5599),f715(x5593,x5594,x5595,x5596,x5597,x5598,x5592,x5599))
% 199.29/199.25 [560]~E(x5601,x5602)+E(f715(x5603,x5604,x5605,x5606,x5607,x5608,x5609,x5601),f715(x5603,x5604,x5605,x5606,x5607,x5608,x5609,x5602))
% 199.29/199.25 [561]~E(x5611,x5612)+E(f296(x5611,x5613,x5614),f296(x5612,x5613,x5614))
% 199.29/199.25 [562]~E(x5621,x5622)+E(f296(x5623,x5621,x5624),f296(x5623,x5622,x5624))
% 199.29/199.25 [563]~E(x5631,x5632)+E(f296(x5633,x5634,x5631),f296(x5633,x5634,x5632))
% 199.29/199.25 [564]~E(x5641,x5642)+E(f271(x5641),f271(x5642))
% 199.29/199.25 [565]~E(x5651,x5652)+E(f718(x5651,x5653,x5654,x5655,x5656),f718(x5652,x5653,x5654,x5655,x5656))
% 199.29/199.25 [566]~E(x5661,x5662)+E(f718(x5663,x5661,x5664,x5665,x5666),f718(x5663,x5662,x5664,x5665,x5666))
% 199.29/199.25 [567]~E(x5671,x5672)+E(f718(x5673,x5674,x5671,x5675,x5676),f718(x5673,x5674,x5672,x5675,x5676))
% 199.29/199.25 [568]~E(x5681,x5682)+E(f718(x5683,x5684,x5685,x5681,x5686),f718(x5683,x5684,x5685,x5682,x5686))
% 199.29/199.25 [569]~E(x5691,x5692)+E(f718(x5693,x5694,x5695,x5696,x5691),f718(x5693,x5694,x5695,x5696,x5692))
% 199.29/199.25 [570]~E(x5701,x5702)+E(f735(x5701,x5703,x5704),f735(x5702,x5703,x5704))
% 199.29/199.25 [571]~E(x5711,x5712)+E(f735(x5713,x5711,x5714),f735(x5713,x5712,x5714))
% 199.29/199.25 [572]~E(x5721,x5722)+E(f735(x5723,x5724,x5721),f735(x5723,x5724,x5722))
% 199.29/199.25 [573]~E(x5731,x5732)+E(f841(x5731,x5733,x5734),f841(x5732,x5733,x5734))
% 199.29/199.25 [574]~E(x5741,x5742)+E(f841(x5743,x5741,x5744),f841(x5743,x5742,x5744))
% 199.29/199.25 [575]~E(x5751,x5752)+E(f841(x5753,x5754,x5751),f841(x5753,x5754,x5752))
% 199.29/199.25 [576]~E(x5761,x5762)+E(f770(x5761,x5763),f770(x5762,x5763))
% 199.29/199.25 [577]~E(x5771,x5772)+E(f770(x5773,x5771),f770(x5773,x5772))
% 199.29/199.25 [578]~E(x5781,x5782)+E(f405(x5781,x5783,x5784,x5785),f405(x5782,x5783,x5784,x5785))
% 199.29/199.25 [579]~E(x5791,x5792)+E(f405(x5793,x5791,x5794,x5795),f405(x5793,x5792,x5794,x5795))
% 199.29/199.25 [580]~E(x5801,x5802)+E(f405(x5803,x5804,x5801,x5805),f405(x5803,x5804,x5802,x5805))
% 199.29/199.25 [581]~E(x5811,x5812)+E(f405(x5813,x5814,x5815,x5811),f405(x5813,x5814,x5815,x5812))
% 199.29/199.25 [582]~E(x5821,x5822)+E(f140(x5821,x5823,x5824,x5825),f140(x5822,x5823,x5824,x5825))
% 199.29/199.25 [583]~E(x5831,x5832)+E(f140(x5833,x5831,x5834,x5835),f140(x5833,x5832,x5834,x5835))
% 199.29/199.25 [584]~E(x5841,x5842)+E(f140(x5843,x5844,x5841,x5845),f140(x5843,x5844,x5842,x5845))
% 199.29/199.25 [585]~E(x5851,x5852)+E(f140(x5853,x5854,x5855,x5851),f140(x5853,x5854,x5855,x5852))
% 199.29/199.25 [586]~E(x5861,x5862)+E(f256(x5861,x5863),f256(x5862,x5863))
% 199.29/199.25 [587]~E(x5871,x5872)+E(f256(x5873,x5871),f256(x5873,x5872))
% 199.29/199.25 [588]~E(x5881,x5882)+E(f118(x5881,x5883),f118(x5882,x5883))
% 199.29/199.25 [589]~E(x5891,x5892)+E(f118(x5893,x5891),f118(x5893,x5892))
% 199.29/199.25 [590]~E(x5901,x5902)+E(f216(x5901,x5903,x5904,x5905,x5906),f216(x5902,x5903,x5904,x5905,x5906))
% 199.29/199.25 [591]~E(x5911,x5912)+E(f216(x5913,x5911,x5914,x5915,x5916),f216(x5913,x5912,x5914,x5915,x5916))
% 199.29/199.25 [592]~E(x5921,x5922)+E(f216(x5923,x5924,x5921,x5925,x5926),f216(x5923,x5924,x5922,x5925,x5926))
% 199.29/199.25 [593]~E(x5931,x5932)+E(f216(x5933,x5934,x5935,x5931,x5936),f216(x5933,x5934,x5935,x5932,x5936))
% 199.29/199.25 [594]~E(x5941,x5942)+E(f216(x5943,x5944,x5945,x5946,x5941),f216(x5943,x5944,x5945,x5946,x5942))
% 199.29/199.25 [595]~E(x5951,x5952)+E(f729(x5951,x5953,x5954,x5955,x5956,x5957,x5958),f729(x5952,x5953,x5954,x5955,x5956,x5957,x5958))
% 199.29/199.25 [596]~E(x5961,x5962)+E(f729(x5963,x5961,x5964,x5965,x5966,x5967,x5968),f729(x5963,x5962,x5964,x5965,x5966,x5967,x5968))
% 199.29/199.25 [597]~E(x5971,x5972)+E(f729(x5973,x5974,x5971,x5975,x5976,x5977,x5978),f729(x5973,x5974,x5972,x5975,x5976,x5977,x5978))
% 199.29/199.25 [598]~E(x5981,x5982)+E(f729(x5983,x5984,x5985,x5981,x5986,x5987,x5988),f729(x5983,x5984,x5985,x5982,x5986,x5987,x5988))
% 199.29/199.25 [599]~E(x5991,x5992)+E(f729(x5993,x5994,x5995,x5996,x5991,x5997,x5998),f729(x5993,x5994,x5995,x5996,x5992,x5997,x5998))
% 199.29/199.25 [600]~E(x6001,x6002)+E(f729(x6003,x6004,x6005,x6006,x6007,x6001,x6008),f729(x6003,x6004,x6005,x6006,x6007,x6002,x6008))
% 199.29/199.25 [601]~E(x6011,x6012)+E(f729(x6013,x6014,x6015,x6016,x6017,x6018,x6011),f729(x6013,x6014,x6015,x6016,x6017,x6018,x6012))
% 199.29/199.25 [602]~E(x6021,x6022)+E(f659(x6021,x6023,x6024,x6025,x6026),f659(x6022,x6023,x6024,x6025,x6026))
% 199.29/199.25 [603]~E(x6031,x6032)+E(f659(x6033,x6031,x6034,x6035,x6036),f659(x6033,x6032,x6034,x6035,x6036))
% 199.29/199.25 [604]~E(x6041,x6042)+E(f659(x6043,x6044,x6041,x6045,x6046),f659(x6043,x6044,x6042,x6045,x6046))
% 199.29/199.25 [605]~E(x6051,x6052)+E(f659(x6053,x6054,x6055,x6051,x6056),f659(x6053,x6054,x6055,x6052,x6056))
% 199.29/199.25 [606]~E(x6061,x6062)+E(f659(x6063,x6064,x6065,x6066,x6061),f659(x6063,x6064,x6065,x6066,x6062))
% 199.29/199.25 [607]~E(x6071,x6072)+E(f813(x6071,x6073,x6074,x6075),f813(x6072,x6073,x6074,x6075))
% 199.29/199.25 [608]~E(x6081,x6082)+E(f813(x6083,x6081,x6084,x6085),f813(x6083,x6082,x6084,x6085))
% 199.29/199.25 [609]~E(x6091,x6092)+E(f813(x6093,x6094,x6091,x6095),f813(x6093,x6094,x6092,x6095))
% 199.29/199.25 [610]~E(x6101,x6102)+E(f813(x6103,x6104,x6105,x6101),f813(x6103,x6104,x6105,x6102))
% 199.29/199.25 [611]~E(x6111,x6112)+E(f538(x6111,x6113,x6114,x6115,x6116),f538(x6112,x6113,x6114,x6115,x6116))
% 199.29/199.25 [612]~E(x6121,x6122)+E(f538(x6123,x6121,x6124,x6125,x6126),f538(x6123,x6122,x6124,x6125,x6126))
% 199.29/199.25 [613]~E(x6131,x6132)+E(f538(x6133,x6134,x6131,x6135,x6136),f538(x6133,x6134,x6132,x6135,x6136))
% 199.29/199.25 [614]~E(x6141,x6142)+E(f538(x6143,x6144,x6145,x6141,x6146),f538(x6143,x6144,x6145,x6142,x6146))
% 199.29/199.25 [615]~E(x6151,x6152)+E(f538(x6153,x6154,x6155,x6156,x6151),f538(x6153,x6154,x6155,x6156,x6152))
% 199.29/199.25 [616]~E(x6161,x6162)+E(f42(x6161,x6163),f42(x6162,x6163))
% 199.29/199.25 [617]~E(x6171,x6172)+E(f42(x6173,x6171),f42(x6173,x6172))
% 199.29/199.25 [618]~E(x6181,x6182)+E(f263(x6181,x6183,x6184,x6185),f263(x6182,x6183,x6184,x6185))
% 199.29/199.25 [619]~E(x6191,x6192)+E(f263(x6193,x6191,x6194,x6195),f263(x6193,x6192,x6194,x6195))
% 199.29/199.25 [620]~E(x6201,x6202)+E(f263(x6203,x6204,x6201,x6205),f263(x6203,x6204,x6202,x6205))
% 199.29/199.25 [621]~E(x6211,x6212)+E(f263(x6213,x6214,x6215,x6211),f263(x6213,x6214,x6215,x6212))
% 199.29/199.25 [622]~E(x6221,x6222)+E(f148(x6221,x6223),f148(x6222,x6223))
% 199.29/199.25 [623]~E(x6231,x6232)+E(f148(x6233,x6231),f148(x6233,x6232))
% 199.29/199.25 [624]~E(x6241,x6242)+E(f258(x6241,x6243),f258(x6242,x6243))
% 199.29/199.25 [625]~E(x6251,x6252)+E(f258(x6253,x6251),f258(x6253,x6252))
% 199.29/199.25 [626]~E(x6261,x6262)+E(f435(x6261,x6263,x6264),f435(x6262,x6263,x6264))
% 199.29/199.25 [627]~E(x6271,x6272)+E(f435(x6273,x6271,x6274),f435(x6273,x6272,x6274))
% 199.29/199.25 [628]~E(x6281,x6282)+E(f435(x6283,x6284,x6281),f435(x6283,x6284,x6282))
% 199.29/199.25 [629]~E(x6291,x6292)+E(f761(x6291,x6293,x6294,x6295),f761(x6292,x6293,x6294,x6295))
% 199.29/199.25 [630]~E(x6301,x6302)+E(f761(x6303,x6301,x6304,x6305),f761(x6303,x6302,x6304,x6305))
% 199.29/199.25 [631]~E(x6311,x6312)+E(f761(x6313,x6314,x6311,x6315),f761(x6313,x6314,x6312,x6315))
% 199.29/199.25 [632]~E(x6321,x6322)+E(f761(x6323,x6324,x6325,x6321),f761(x6323,x6324,x6325,x6322))
% 199.29/199.25 [633]~E(x6331,x6332)+E(f755(x6331,x6333,x6334,x6335,x6336),f755(x6332,x6333,x6334,x6335,x6336))
% 199.29/199.25 [634]~E(x6341,x6342)+E(f755(x6343,x6341,x6344,x6345,x6346),f755(x6343,x6342,x6344,x6345,x6346))
% 199.29/199.25 [635]~E(x6351,x6352)+E(f755(x6353,x6354,x6351,x6355,x6356),f755(x6353,x6354,x6352,x6355,x6356))
% 199.29/199.25 [636]~E(x6361,x6362)+E(f755(x6363,x6364,x6365,x6361,x6366),f755(x6363,x6364,x6365,x6362,x6366))
% 199.29/199.25 [637]~E(x6371,x6372)+E(f755(x6373,x6374,x6375,x6376,x6371),f755(x6373,x6374,x6375,x6376,x6372))
% 199.29/199.25 [638]~E(x6381,x6382)+E(f843(x6381,x6383,x6384),f843(x6382,x6383,x6384))
% 199.29/199.25 [639]~E(x6391,x6392)+E(f843(x6393,x6391,x6394),f843(x6393,x6392,x6394))
% 199.29/199.25 [640]~E(x6401,x6402)+E(f843(x6403,x6404,x6401),f843(x6403,x6404,x6402))
% 199.29/199.25 [641]~E(x6411,x6412)+E(f357(x6411,x6413,x6414),f357(x6412,x6413,x6414))
% 199.29/199.25 [642]~E(x6421,x6422)+E(f357(x6423,x6421,x6424),f357(x6423,x6422,x6424))
% 199.29/199.25 [643]~E(x6431,x6432)+E(f357(x6433,x6434,x6431),f357(x6433,x6434,x6432))
% 199.29/199.25 [644]~E(x6441,x6442)+E(f54(x6441,x6443,x6444,x6445),f54(x6442,x6443,x6444,x6445))
% 199.29/199.25 [645]~E(x6451,x6452)+E(f54(x6453,x6451,x6454,x6455),f54(x6453,x6452,x6454,x6455))
% 199.29/199.25 [646]~E(x6461,x6462)+E(f54(x6463,x6464,x6461,x6465),f54(x6463,x6464,x6462,x6465))
% 199.29/199.25 [647]~E(x6471,x6472)+E(f54(x6473,x6474,x6475,x6471),f54(x6473,x6474,x6475,x6472))
% 199.29/199.25 [648]~E(x6481,x6482)+E(f16(x6481,x6483),f16(x6482,x6483))
% 199.29/199.25 [649]~E(x6491,x6492)+E(f16(x6493,x6491),f16(x6493,x6492))
% 199.29/199.25 [650]~E(x6501,x6502)+E(f603(x6501,x6503,x6504),f603(x6502,x6503,x6504))
% 199.29/199.25 [651]~E(x6511,x6512)+E(f603(x6513,x6511,x6514),f603(x6513,x6512,x6514))
% 199.29/199.25 [652]~E(x6521,x6522)+E(f603(x6523,x6524,x6521),f603(x6523,x6524,x6522))
% 199.29/199.25 [653]~E(x6531,x6532)+E(f394(x6531,x6533),f394(x6532,x6533))
% 199.29/199.25 [654]~E(x6541,x6542)+E(f394(x6543,x6541),f394(x6543,x6542))
% 199.29/199.25 [655]~E(x6551,x6552)+E(f175(x6551,x6553,x6554,x6555),f175(x6552,x6553,x6554,x6555))
% 199.29/199.25 [656]~E(x6561,x6562)+E(f175(x6563,x6561,x6564,x6565),f175(x6563,x6562,x6564,x6565))
% 199.29/199.25 [657]~E(x6571,x6572)+E(f175(x6573,x6574,x6571,x6575),f175(x6573,x6574,x6572,x6575))
% 199.29/199.25 [658]~E(x6581,x6582)+E(f175(x6583,x6584,x6585,x6581),f175(x6583,x6584,x6585,x6582))
% 199.29/199.25 [659]~E(x6591,x6592)+E(f38(x6591),f38(x6592))
% 199.29/199.25 [660]~E(x6601,x6602)+E(f513(x6601,x6603,x6604),f513(x6602,x6603,x6604))
% 199.29/199.25 [661]~E(x6611,x6612)+E(f513(x6613,x6611,x6614),f513(x6613,x6612,x6614))
% 199.29/199.25 [662]~E(x6621,x6622)+E(f513(x6623,x6624,x6621),f513(x6623,x6624,x6622))
% 199.29/199.25 [663]~E(x6631,x6632)+E(f270(x6631,x6633,x6634,x6635),f270(x6632,x6633,x6634,x6635))
% 199.29/199.25 [664]~E(x6641,x6642)+E(f270(x6643,x6641,x6644,x6645),f270(x6643,x6642,x6644,x6645))
% 199.29/199.25 [665]~E(x6651,x6652)+E(f270(x6653,x6654,x6651,x6655),f270(x6653,x6654,x6652,x6655))
% 199.29/199.25 [666]~E(x6661,x6662)+E(f270(x6663,x6664,x6665,x6661),f270(x6663,x6664,x6665,x6662))
% 199.29/199.25 [667]~E(x6671,x6672)+E(f279(x6671,x6673,x6674,x6675),f279(x6672,x6673,x6674,x6675))
% 199.29/199.25 [668]~E(x6681,x6682)+E(f279(x6683,x6681,x6684,x6685),f279(x6683,x6682,x6684,x6685))
% 199.29/199.25 [669]~E(x6691,x6692)+E(f279(x6693,x6694,x6691,x6695),f279(x6693,x6694,x6692,x6695))
% 199.29/199.25 [670]~E(x6701,x6702)+E(f279(x6703,x6704,x6705,x6701),f279(x6703,x6704,x6705,x6702))
% 199.29/199.25 [671]~E(x6711,x6712)+E(f506(x6711,x6713,x6714,x6715),f506(x6712,x6713,x6714,x6715))
% 199.29/199.25 [672]~E(x6721,x6722)+E(f506(x6723,x6721,x6724,x6725),f506(x6723,x6722,x6724,x6725))
% 199.29/199.25 [673]~E(x6731,x6732)+E(f506(x6733,x6734,x6731,x6735),f506(x6733,x6734,x6732,x6735))
% 199.29/199.25 [674]~E(x6741,x6742)+E(f506(x6743,x6744,x6745,x6741),f506(x6743,x6744,x6745,x6742))
% 199.29/199.25 [675]~E(x6751,x6752)+E(f757(x6751,x6753,x6754,x6755),f757(x6752,x6753,x6754,x6755))
% 199.29/199.25 [676]~E(x6761,x6762)+E(f757(x6763,x6761,x6764,x6765),f757(x6763,x6762,x6764,x6765))
% 199.29/199.25 [677]~E(x6771,x6772)+E(f757(x6773,x6774,x6771,x6775),f757(x6773,x6774,x6772,x6775))
% 199.29/199.25 [678]~E(x6781,x6782)+E(f757(x6783,x6784,x6785,x6781),f757(x6783,x6784,x6785,x6782))
% 199.29/199.25 [679]~E(x6791,x6792)+E(f286(x6791,x6793,x6794,x6795,x6796),f286(x6792,x6793,x6794,x6795,x6796))
% 199.29/199.25 [680]~E(x6801,x6802)+E(f286(x6803,x6801,x6804,x6805,x6806),f286(x6803,x6802,x6804,x6805,x6806))
% 199.29/199.25 [681]~E(x6811,x6812)+E(f286(x6813,x6814,x6811,x6815,x6816),f286(x6813,x6814,x6812,x6815,x6816))
% 199.29/199.25 [682]~E(x6821,x6822)+E(f286(x6823,x6824,x6825,x6821,x6826),f286(x6823,x6824,x6825,x6822,x6826))
% 199.29/199.25 [683]~E(x6831,x6832)+E(f286(x6833,x6834,x6835,x6836,x6831),f286(x6833,x6834,x6835,x6836,x6832))
% 199.29/199.25 [684]~E(x6841,x6842)+E(f543(x6841,x6843,x6844,x6845,x6846,x6847,x6848,x6849),f543(x6842,x6843,x6844,x6845,x6846,x6847,x6848,x6849))
% 199.29/199.25 [685]~E(x6851,x6852)+E(f543(x6853,x6851,x6854,x6855,x6856,x6857,x6858,x6859),f543(x6853,x6852,x6854,x6855,x6856,x6857,x6858,x6859))
% 199.29/199.25 [686]~E(x6861,x6862)+E(f543(x6863,x6864,x6861,x6865,x6866,x6867,x6868,x6869),f543(x6863,x6864,x6862,x6865,x6866,x6867,x6868,x6869))
% 199.29/199.25 [687]~E(x6871,x6872)+E(f543(x6873,x6874,x6875,x6871,x6876,x6877,x6878,x6879),f543(x6873,x6874,x6875,x6872,x6876,x6877,x6878,x6879))
% 199.29/199.25 [688]~E(x6881,x6882)+E(f543(x6883,x6884,x6885,x6886,x6881,x6887,x6888,x6889),f543(x6883,x6884,x6885,x6886,x6882,x6887,x6888,x6889))
% 199.29/199.25 [689]~E(x6891,x6892)+E(f543(x6893,x6894,x6895,x6896,x6897,x6891,x6898,x6899),f543(x6893,x6894,x6895,x6896,x6897,x6892,x6898,x6899))
% 199.29/199.25 [690]~E(x6901,x6902)+E(f543(x6903,x6904,x6905,x6906,x6907,x6908,x6901,x6909),f543(x6903,x6904,x6905,x6906,x6907,x6908,x6902,x6909))
% 199.29/199.25 [691]~E(x6911,x6912)+E(f543(x6913,x6914,x6915,x6916,x6917,x6918,x6919,x6911),f543(x6913,x6914,x6915,x6916,x6917,x6918,x6919,x6912))
% 199.29/199.25 [692]~E(x6921,x6922)+E(f503(x6921,x6923,x6924,x6925,x6926,x6927,x6928),f503(x6922,x6923,x6924,x6925,x6926,x6927,x6928))
% 199.29/199.25 [693]~E(x6931,x6932)+E(f503(x6933,x6931,x6934,x6935,x6936,x6937,x6938),f503(x6933,x6932,x6934,x6935,x6936,x6937,x6938))
% 199.29/199.25 [694]~E(x6941,x6942)+E(f503(x6943,x6944,x6941,x6945,x6946,x6947,x6948),f503(x6943,x6944,x6942,x6945,x6946,x6947,x6948))
% 199.29/199.25 [695]~E(x6951,x6952)+E(f503(x6953,x6954,x6955,x6951,x6956,x6957,x6958),f503(x6953,x6954,x6955,x6952,x6956,x6957,x6958))
% 199.29/199.25 [696]~E(x6961,x6962)+E(f503(x6963,x6964,x6965,x6966,x6961,x6967,x6968),f503(x6963,x6964,x6965,x6966,x6962,x6967,x6968))
% 199.29/199.25 [697]~E(x6971,x6972)+E(f503(x6973,x6974,x6975,x6976,x6977,x6971,x6978),f503(x6973,x6974,x6975,x6976,x6977,x6972,x6978))
% 199.29/199.25 [698]~E(x6981,x6982)+E(f503(x6983,x6984,x6985,x6986,x6987,x6988,x6981),f503(x6983,x6984,x6985,x6986,x6987,x6988,x6982))
% 199.29/199.25 [699]~E(x6991,x6992)+E(f56(x6991,x6993,x6994),f56(x6992,x6993,x6994))
% 199.29/199.25 [700]~E(x7001,x7002)+E(f56(x7003,x7001,x7004),f56(x7003,x7002,x7004))
% 199.29/199.25 [701]~E(x7011,x7012)+E(f56(x7013,x7014,x7011),f56(x7013,x7014,x7012))
% 199.29/199.25 [702]~E(x7021,x7022)+E(f695(x7021,x7023,x7024),f695(x7022,x7023,x7024))
% 199.29/199.25 [703]~E(x7031,x7032)+E(f695(x7033,x7031,x7034),f695(x7033,x7032,x7034))
% 199.29/199.25 [704]~E(x7041,x7042)+E(f695(x7043,x7044,x7041),f695(x7043,x7044,x7042))
% 199.29/199.25 [705]~E(x7051,x7052)+E(f389(x7051,x7053,x7054),f389(x7052,x7053,x7054))
% 199.29/199.25 [706]~E(x7061,x7062)+E(f389(x7063,x7061,x7064),f389(x7063,x7062,x7064))
% 199.29/199.25 [707]~E(x7071,x7072)+E(f389(x7073,x7074,x7071),f389(x7073,x7074,x7072))
% 199.29/199.25 [708]~E(x7081,x7082)+E(f61(x7081,x7083,x7084),f61(x7082,x7083,x7084))
% 199.29/199.25 [709]~E(x7091,x7092)+E(f61(x7093,x7091,x7094),f61(x7093,x7092,x7094))
% 199.29/199.25 [710]~E(x7101,x7102)+E(f61(x7103,x7104,x7101),f61(x7103,x7104,x7102))
% 199.29/199.25 [711]~E(x7111,x7112)+E(f321(x7111,x7113,x7114,x7115),f321(x7112,x7113,x7114,x7115))
% 199.29/199.25 [712]~E(x7121,x7122)+E(f321(x7123,x7121,x7124,x7125),f321(x7123,x7122,x7124,x7125))
% 199.29/199.25 [713]~E(x7131,x7132)+E(f321(x7133,x7134,x7131,x7135),f321(x7133,x7134,x7132,x7135))
% 199.29/199.25 [714]~E(x7141,x7142)+E(f321(x7143,x7144,x7145,x7141),f321(x7143,x7144,x7145,x7142))
% 199.29/199.25 [715]~E(x7151,x7152)+E(f60(x7151,x7153,x7154,x7155,x7156),f60(x7152,x7153,x7154,x7155,x7156))
% 199.29/199.25 [716]~E(x7161,x7162)+E(f60(x7163,x7161,x7164,x7165,x7166),f60(x7163,x7162,x7164,x7165,x7166))
% 199.29/199.25 [717]~E(x7171,x7172)+E(f60(x7173,x7174,x7171,x7175,x7176),f60(x7173,x7174,x7172,x7175,x7176))
% 199.29/199.25 [718]~E(x7181,x7182)+E(f60(x7183,x7184,x7185,x7181,x7186),f60(x7183,x7184,x7185,x7182,x7186))
% 199.29/199.25 [719]~E(x7191,x7192)+E(f60(x7193,x7194,x7195,x7196,x7191),f60(x7193,x7194,x7195,x7196,x7192))
% 199.29/199.25 [720]~E(x7201,x7202)+E(f106(x7201,x7203,x7204),f106(x7202,x7203,x7204))
% 199.29/199.25 [721]~E(x7211,x7212)+E(f106(x7213,x7211,x7214),f106(x7213,x7212,x7214))
% 199.29/199.25 [722]~E(x7221,x7222)+E(f106(x7223,x7224,x7221),f106(x7223,x7224,x7222))
% 199.29/199.25 [723]~E(x7231,x7232)+E(f362(x7231,x7233,x7234,x7235),f362(x7232,x7233,x7234,x7235))
% 199.29/199.25 [724]~E(x7241,x7242)+E(f362(x7243,x7241,x7244,x7245),f362(x7243,x7242,x7244,x7245))
% 199.29/199.25 [725]~E(x7251,x7252)+E(f362(x7253,x7254,x7251,x7255),f362(x7253,x7254,x7252,x7255))
% 199.29/199.25 [726]~E(x7261,x7262)+E(f362(x7263,x7264,x7265,x7261),f362(x7263,x7264,x7265,x7262))
% 199.29/199.25 [727]~E(x7271,x7272)+E(f886(x7271,x7273),f886(x7272,x7273))
% 199.29/199.25 [728]~E(x7281,x7282)+E(f886(x7283,x7281),f886(x7283,x7282))
% 199.29/199.25 [729]~E(x7291,x7292)+E(f151(x7291,x7293),f151(x7292,x7293))
% 199.29/199.25 [730]~E(x7301,x7302)+E(f151(x7303,x7301),f151(x7303,x7302))
% 199.29/199.25 [731]~E(x7311,x7312)+E(f652(x7311,x7313),f652(x7312,x7313))
% 199.29/199.25 [732]~E(x7321,x7322)+E(f652(x7323,x7321),f652(x7323,x7322))
% 199.29/199.25 [733]~E(x7331,x7332)+E(f700(x7331,x7333,x7334),f700(x7332,x7333,x7334))
% 199.29/199.25 [734]~E(x7341,x7342)+E(f700(x7343,x7341,x7344),f700(x7343,x7342,x7344))
% 199.29/199.25 [735]~E(x7351,x7352)+E(f700(x7353,x7354,x7351),f700(x7353,x7354,x7352))
% 199.29/199.25 [736]~E(x7361,x7362)+E(f727(x7361,x7363,x7364,x7365,x7366),f727(x7362,x7363,x7364,x7365,x7366))
% 199.29/199.25 [737]~E(x7371,x7372)+E(f727(x7373,x7371,x7374,x7375,x7376),f727(x7373,x7372,x7374,x7375,x7376))
% 199.29/199.25 [738]~E(x7381,x7382)+E(f727(x7383,x7384,x7381,x7385,x7386),f727(x7383,x7384,x7382,x7385,x7386))
% 199.29/199.25 [739]~E(x7391,x7392)+E(f727(x7393,x7394,x7395,x7391,x7396),f727(x7393,x7394,x7395,x7392,x7396))
% 199.29/199.25 [740]~E(x7401,x7402)+E(f727(x7403,x7404,x7405,x7406,x7401),f727(x7403,x7404,x7405,x7406,x7402))
% 199.29/199.25 [741]~E(x7411,x7412)+E(f579(x7411,x7413,x7414,x7415,x7416,x7417),f579(x7412,x7413,x7414,x7415,x7416,x7417))
% 199.29/199.25 [742]~E(x7421,x7422)+E(f579(x7423,x7421,x7424,x7425,x7426,x7427),f579(x7423,x7422,x7424,x7425,x7426,x7427))
% 199.29/199.25 [743]~E(x7431,x7432)+E(f579(x7433,x7434,x7431,x7435,x7436,x7437),f579(x7433,x7434,x7432,x7435,x7436,x7437))
% 199.29/199.25 [744]~E(x7441,x7442)+E(f579(x7443,x7444,x7445,x7441,x7446,x7447),f579(x7443,x7444,x7445,x7442,x7446,x7447))
% 199.29/199.25 [745]~E(x7451,x7452)+E(f579(x7453,x7454,x7455,x7456,x7451,x7457),f579(x7453,x7454,x7455,x7456,x7452,x7457))
% 199.29/199.25 [746]~E(x7461,x7462)+E(f579(x7463,x7464,x7465,x7466,x7467,x7461),f579(x7463,x7464,x7465,x7466,x7467,x7462))
% 199.29/199.25 [747]~E(x7471,x7472)+E(f839(x7471,x7473),f839(x7472,x7473))
% 199.29/199.25 [748]~E(x7481,x7482)+E(f839(x7483,x7481),f839(x7483,x7482))
% 199.29/199.25 [749]~E(x7491,x7492)+E(f912(x7491),f912(x7492))
% 199.29/199.25 [750]~E(x7501,x7502)+E(f705(x7501,x7503,x7504,x7505),f705(x7502,x7503,x7504,x7505))
% 199.29/199.25 [751]~E(x7511,x7512)+E(f705(x7513,x7511,x7514,x7515),f705(x7513,x7512,x7514,x7515))
% 199.29/199.25 [752]~E(x7521,x7522)+E(f705(x7523,x7524,x7521,x7525),f705(x7523,x7524,x7522,x7525))
% 199.29/199.25 [753]~E(x7531,x7532)+E(f705(x7533,x7534,x7535,x7531),f705(x7533,x7534,x7535,x7532))
% 199.29/199.25 [754]~E(x7541,x7542)+E(f44(x7541,x7543),f44(x7542,x7543))
% 199.29/199.25 [755]~E(x7551,x7552)+E(f44(x7553,x7551),f44(x7553,x7552))
% 199.29/199.25 [756]~E(x7561,x7562)+E(f238(x7561,x7563),f238(x7562,x7563))
% 199.29/199.25 [757]~E(x7571,x7572)+E(f238(x7573,x7571),f238(x7573,x7572))
% 199.29/199.25 [758]~E(x7581,x7582)+E(f692(x7581,x7583),f692(x7582,x7583))
% 199.29/199.25 [759]~E(x7591,x7592)+E(f692(x7593,x7591),f692(x7593,x7592))
% 199.29/199.25 [760]~E(x7601,x7602)+E(f458(x7601,x7603,x7604),f458(x7602,x7603,x7604))
% 199.29/199.25 [761]~E(x7611,x7612)+E(f458(x7613,x7611,x7614),f458(x7613,x7612,x7614))
% 199.29/199.25 [762]~E(x7621,x7622)+E(f458(x7623,x7624,x7621),f458(x7623,x7624,x7622))
% 199.29/199.25 [763]~E(x7631,x7632)+E(f406(x7631,x7633,x7634,x7635),f406(x7632,x7633,x7634,x7635))
% 199.29/199.25 [764]~E(x7641,x7642)+E(f406(x7643,x7641,x7644,x7645),f406(x7643,x7642,x7644,x7645))
% 199.29/199.25 [765]~E(x7651,x7652)+E(f406(x7653,x7654,x7651,x7655),f406(x7653,x7654,x7652,x7655))
% 199.29/199.25 [766]~E(x7661,x7662)+E(f406(x7663,x7664,x7665,x7661),f406(x7663,x7664,x7665,x7662))
% 199.29/199.25 [767]~E(x7671,x7672)+E(f309(x7671,x7673,x7674,x7675),f309(x7672,x7673,x7674,x7675))
% 199.29/199.25 [768]~E(x7681,x7682)+E(f309(x7683,x7681,x7684,x7685),f309(x7683,x7682,x7684,x7685))
% 199.29/199.25 [769]~E(x7691,x7692)+E(f309(x7693,x7694,x7691,x7695),f309(x7693,x7694,x7692,x7695))
% 199.29/199.25 [770]~E(x7701,x7702)+E(f309(x7703,x7704,x7705,x7701),f309(x7703,x7704,x7705,x7702))
% 199.29/199.25 [771]~E(x7711,x7712)+E(f370(x7711,x7713,x7714,x7715),f370(x7712,x7713,x7714,x7715))
% 199.29/199.25 [772]~E(x7721,x7722)+E(f370(x7723,x7721,x7724,x7725),f370(x7723,x7722,x7724,x7725))
% 199.29/199.25 [773]~E(x7731,x7732)+E(f370(x7733,x7734,x7731,x7735),f370(x7733,x7734,x7732,x7735))
% 199.29/199.25 [774]~E(x7741,x7742)+E(f370(x7743,x7744,x7745,x7741),f370(x7743,x7744,x7745,x7742))
% 199.29/199.25 [775]~E(x7751,x7752)+E(f657(x7751,x7753,x7754),f657(x7752,x7753,x7754))
% 199.29/199.25 [776]~E(x7761,x7762)+E(f657(x7763,x7761,x7764),f657(x7763,x7762,x7764))
% 199.29/199.25 [777]~E(x7771,x7772)+E(f657(x7773,x7774,x7771),f657(x7773,x7774,x7772))
% 199.29/199.25 [778]~E(x7781,x7782)+E(f873(x7781,x7783,x7784),f873(x7782,x7783,x7784))
% 199.29/199.25 [779]~E(x7791,x7792)+E(f873(x7793,x7791,x7794),f873(x7793,x7792,x7794))
% 199.29/199.25 [780]~E(x7801,x7802)+E(f873(x7803,x7804,x7801),f873(x7803,x7804,x7802))
% 199.29/199.25 [781]~E(x7811,x7812)+E(f139(x7811,x7813,x7814,x7815,x7816),f139(x7812,x7813,x7814,x7815,x7816))
% 199.29/199.25 [782]~E(x7821,x7822)+E(f139(x7823,x7821,x7824,x7825,x7826),f139(x7823,x7822,x7824,x7825,x7826))
% 199.29/199.25 [783]~E(x7831,x7832)+E(f139(x7833,x7834,x7831,x7835,x7836),f139(x7833,x7834,x7832,x7835,x7836))
% 199.29/199.25 [784]~E(x7841,x7842)+E(f139(x7843,x7844,x7845,x7841,x7846),f139(x7843,x7844,x7845,x7842,x7846))
% 199.29/199.25 [785]~E(x7851,x7852)+E(f139(x7853,x7854,x7855,x7856,x7851),f139(x7853,x7854,x7855,x7856,x7852))
% 199.29/199.25 [786]~E(x7861,x7862)+E(f765(x7861,x7863),f765(x7862,x7863))
% 199.29/199.25 [787]~E(x7871,x7872)+E(f765(x7873,x7871),f765(x7873,x7872))
% 199.29/199.25 [788]~E(x7881,x7882)+E(f442(x7881,x7883,x7884),f442(x7882,x7883,x7884))
% 199.29/199.25 [789]~E(x7891,x7892)+E(f442(x7893,x7891,x7894),f442(x7893,x7892,x7894))
% 199.29/199.25 [790]~E(x7901,x7902)+E(f442(x7903,x7904,x7901),f442(x7903,x7904,x7902))
% 199.29/199.25 [791]~E(x7911,x7912)+E(f152(x7911,x7913),f152(x7912,x7913))
% 199.29/199.25 [792]~E(x7921,x7922)+E(f152(x7923,x7921),f152(x7923,x7922))
% 199.29/199.25 [793]~E(x7931,x7932)+E(f776(x7931,x7933,x7934),f776(x7932,x7933,x7934))
% 199.29/199.25 [794]~E(x7941,x7942)+E(f776(x7943,x7941,x7944),f776(x7943,x7942,x7944))
% 199.29/199.25 [795]~E(x7951,x7952)+E(f776(x7953,x7954,x7951),f776(x7953,x7954,x7952))
% 199.29/199.25 [796]~E(x7961,x7962)+E(f490(x7961,x7963,x7964,x7965,x7966),f490(x7962,x7963,x7964,x7965,x7966))
% 199.29/199.25 [797]~E(x7971,x7972)+E(f490(x7973,x7971,x7974,x7975,x7976),f490(x7973,x7972,x7974,x7975,x7976))
% 199.29/199.25 [798]~E(x7981,x7982)+E(f490(x7983,x7984,x7981,x7985,x7986),f490(x7983,x7984,x7982,x7985,x7986))
% 199.29/199.25 [799]~E(x7991,x7992)+E(f490(x7993,x7994,x7995,x7991,x7996),f490(x7993,x7994,x7995,x7992,x7996))
% 199.29/199.25 [800]~E(x8001,x8002)+E(f490(x8003,x8004,x8005,x8006,x8001),f490(x8003,x8004,x8005,x8006,x8002))
% 199.29/199.25 [801]~E(x8011,x8012)+E(f777(x8011,x8013,x8014),f777(x8012,x8013,x8014))
% 199.29/199.25 [802]~E(x8021,x8022)+E(f777(x8023,x8021,x8024),f777(x8023,x8022,x8024))
% 199.29/199.25 [803]~E(x8031,x8032)+E(f777(x8033,x8034,x8031),f777(x8033,x8034,x8032))
% 199.29/199.25 [804]~E(x8041,x8042)+E(f785(x8041,x8043),f785(x8042,x8043))
% 199.29/199.25 [805]~E(x8051,x8052)+E(f785(x8053,x8051),f785(x8053,x8052))
% 199.29/199.25 [806]~E(x8061,x8062)+E(f488(x8061,x8063,x8064,x8065),f488(x8062,x8063,x8064,x8065))
% 199.29/199.25 [807]~E(x8071,x8072)+E(f488(x8073,x8071,x8074,x8075),f488(x8073,x8072,x8074,x8075))
% 199.29/199.25 [808]~E(x8081,x8082)+E(f488(x8083,x8084,x8081,x8085),f488(x8083,x8084,x8082,x8085))
% 199.29/199.25 [809]~E(x8091,x8092)+E(f488(x8093,x8094,x8095,x8091),f488(x8093,x8094,x8095,x8092))
% 199.29/199.25 [810]~E(x8101,x8102)+E(f239(x8101,x8103,x8104),f239(x8102,x8103,x8104))
% 199.29/199.25 [811]~E(x8111,x8112)+E(f239(x8113,x8111,x8114),f239(x8113,x8112,x8114))
% 199.29/199.25 [812]~E(x8121,x8122)+E(f239(x8123,x8124,x8121),f239(x8123,x8124,x8122))
% 199.29/199.25 [813]~E(x8131,x8132)+E(f573(x8131,x8133,x8134),f573(x8132,x8133,x8134))
% 199.29/199.25 [814]~E(x8141,x8142)+E(f573(x8143,x8141,x8144),f573(x8143,x8142,x8144))
% 199.29/199.25 [815]~E(x8151,x8152)+E(f573(x8153,x8154,x8151),f573(x8153,x8154,x8152))
% 199.29/199.25 [816]~E(x8161,x8162)+E(f474(x8161,x8163,x8164,x8165,x8166),f474(x8162,x8163,x8164,x8165,x8166))
% 199.29/199.25 [817]~E(x8171,x8172)+E(f474(x8173,x8171,x8174,x8175,x8176),f474(x8173,x8172,x8174,x8175,x8176))
% 199.29/199.25 [818]~E(x8181,x8182)+E(f474(x8183,x8184,x8181,x8185,x8186),f474(x8183,x8184,x8182,x8185,x8186))
% 199.29/199.25 [819]~E(x8191,x8192)+E(f474(x8193,x8194,x8195,x8191,x8196),f474(x8193,x8194,x8195,x8192,x8196))
% 199.29/199.25 [820]~E(x8201,x8202)+E(f474(x8203,x8204,x8205,x8206,x8201),f474(x8203,x8204,x8205,x8206,x8202))
% 199.29/199.25 [821]~E(x8211,x8212)+E(f404(x8211,x8213,x8214,x8215),f404(x8212,x8213,x8214,x8215))
% 199.29/199.25 [822]~E(x8221,x8222)+E(f404(x8223,x8221,x8224,x8225),f404(x8223,x8222,x8224,x8225))
% 199.29/199.25 [823]~E(x8231,x8232)+E(f404(x8233,x8234,x8231,x8235),f404(x8233,x8234,x8232,x8235))
% 199.29/199.25 [824]~E(x8241,x8242)+E(f404(x8243,x8244,x8245,x8241),f404(x8243,x8244,x8245,x8242))
% 199.29/199.25 [825]~E(x8251,x8252)+E(f861(x8251,x8253,x8254,x8255,x8256),f861(x8252,x8253,x8254,x8255,x8256))
% 199.29/199.25 [826]~E(x8261,x8262)+E(f861(x8263,x8261,x8264,x8265,x8266),f861(x8263,x8262,x8264,x8265,x8266))
% 199.29/199.25 [827]~E(x8271,x8272)+E(f861(x8273,x8274,x8271,x8275,x8276),f861(x8273,x8274,x8272,x8275,x8276))
% 199.29/199.25 [828]~E(x8281,x8282)+E(f861(x8283,x8284,x8285,x8281,x8286),f861(x8283,x8284,x8285,x8282,x8286))
% 199.29/199.25 [829]~E(x8291,x8292)+E(f861(x8293,x8294,x8295,x8296,x8291),f861(x8293,x8294,x8295,x8296,x8292))
% 199.29/199.25 [830]~E(x8301,x8302)+E(f632(x8301,x8303),f632(x8302,x8303))
% 199.29/199.25 [831]~E(x8311,x8312)+E(f632(x8313,x8311),f632(x8313,x8312))
% 199.29/199.25 [832]~E(x8321,x8322)+E(f146(x8321,x8323,x8324,x8325),f146(x8322,x8323,x8324,x8325))
% 199.29/199.25 [833]~E(x8331,x8332)+E(f146(x8333,x8331,x8334,x8335),f146(x8333,x8332,x8334,x8335))
% 199.29/199.25 [834]~E(x8341,x8342)+E(f146(x8343,x8344,x8341,x8345),f146(x8343,x8344,x8342,x8345))
% 199.29/199.25 [835]~E(x8351,x8352)+E(f146(x8353,x8354,x8355,x8351),f146(x8353,x8354,x8355,x8352))
% 199.29/199.25 [836]~E(x8361,x8362)+E(f845(x8361,x8363,x8364),f845(x8362,x8363,x8364))
% 199.29/199.25 [837]~E(x8371,x8372)+E(f845(x8373,x8371,x8374),f845(x8373,x8372,x8374))
% 199.29/199.25 [838]~E(x8381,x8382)+E(f845(x8383,x8384,x8381),f845(x8383,x8384,x8382))
% 199.29/199.25 [839]~E(x8391,x8392)+E(f636(x8391,x8393,x8394,x8395,x8396),f636(x8392,x8393,x8394,x8395,x8396))
% 199.29/199.25 [840]~E(x8401,x8402)+E(f636(x8403,x8401,x8404,x8405,x8406),f636(x8403,x8402,x8404,x8405,x8406))
% 199.29/199.25 [841]~E(x8411,x8412)+E(f636(x8413,x8414,x8411,x8415,x8416),f636(x8413,x8414,x8412,x8415,x8416))
% 199.29/199.25 [842]~E(x8421,x8422)+E(f636(x8423,x8424,x8425,x8421,x8426),f636(x8423,x8424,x8425,x8422,x8426))
% 199.29/199.25 [843]~E(x8431,x8432)+E(f636(x8433,x8434,x8435,x8436,x8431),f636(x8433,x8434,x8435,x8436,x8432))
% 199.29/199.25 [844]~E(x8441,x8442)+E(f121(x8441,x8443,x8444,x8445),f121(x8442,x8443,x8444,x8445))
% 199.29/199.25 [845]~E(x8451,x8452)+E(f121(x8453,x8451,x8454,x8455),f121(x8453,x8452,x8454,x8455))
% 199.29/199.25 [846]~E(x8461,x8462)+E(f121(x8463,x8464,x8461,x8465),f121(x8463,x8464,x8462,x8465))
% 199.29/199.25 [847]~E(x8471,x8472)+E(f121(x8473,x8474,x8475,x8471),f121(x8473,x8474,x8475,x8472))
% 199.29/199.25 [848]~E(x8481,x8482)+E(f820(x8481,x8483,x8484,x8485,x8486,x8487,x8488,x8489),f820(x8482,x8483,x8484,x8485,x8486,x8487,x8488,x8489))
% 199.29/199.25 [849]~E(x8491,x8492)+E(f820(x8493,x8491,x8494,x8495,x8496,x8497,x8498,x8499),f820(x8493,x8492,x8494,x8495,x8496,x8497,x8498,x8499))
% 199.29/199.25 [850]~E(x8501,x8502)+E(f820(x8503,x8504,x8501,x8505,x8506,x8507,x8508,x8509),f820(x8503,x8504,x8502,x8505,x8506,x8507,x8508,x8509))
% 199.29/199.25 [851]~E(x8511,x8512)+E(f820(x8513,x8514,x8515,x8511,x8516,x8517,x8518,x8519),f820(x8513,x8514,x8515,x8512,x8516,x8517,x8518,x8519))
% 199.29/199.25 [852]~E(x8521,x8522)+E(f820(x8523,x8524,x8525,x8526,x8521,x8527,x8528,x8529),f820(x8523,x8524,x8525,x8526,x8522,x8527,x8528,x8529))
% 199.29/199.25 [853]~E(x8531,x8532)+E(f820(x8533,x8534,x8535,x8536,x8537,x8531,x8538,x8539),f820(x8533,x8534,x8535,x8536,x8537,x8532,x8538,x8539))
% 199.29/199.25 [854]~E(x8541,x8542)+E(f820(x8543,x8544,x8545,x8546,x8547,x8548,x8541,x8549),f820(x8543,x8544,x8545,x8546,x8547,x8548,x8542,x8549))
% 199.29/199.25 [855]~E(x8551,x8552)+E(f820(x8553,x8554,x8555,x8556,x8557,x8558,x8559,x8551),f820(x8553,x8554,x8555,x8556,x8557,x8558,x8559,x8552))
% 199.29/199.25 [856]~E(x8561,x8562)+E(f430(x8561,x8563),f430(x8562,x8563))
% 199.29/199.25 [857]~E(x8571,x8572)+E(f430(x8573,x8571),f430(x8573,x8572))
% 199.29/199.25 [858]~E(x8581,x8582)+E(f381(x8581,x8583),f381(x8582,x8583))
% 199.29/199.25 [859]~E(x8591,x8592)+E(f381(x8593,x8591),f381(x8593,x8592))
% 199.29/199.25 [860]~E(x8601,x8602)+E(f457(x8601,x8603,x8604,x8605),f457(x8602,x8603,x8604,x8605))
% 199.29/199.25 [861]~E(x8611,x8612)+E(f457(x8613,x8611,x8614,x8615),f457(x8613,x8612,x8614,x8615))
% 199.29/199.25 [862]~E(x8621,x8622)+E(f457(x8623,x8624,x8621,x8625),f457(x8623,x8624,x8622,x8625))
% 199.29/199.25 [863]~E(x8631,x8632)+E(f457(x8633,x8634,x8635,x8631),f457(x8633,x8634,x8635,x8632))
% 199.29/199.25 [864]~E(x8641,x8642)+E(f181(x8641,x8643,x8644,x8645),f181(x8642,x8643,x8644,x8645))
% 199.29/199.25 [865]~E(x8651,x8652)+E(f181(x8653,x8651,x8654,x8655),f181(x8653,x8652,x8654,x8655))
% 199.29/199.25 [866]~E(x8661,x8662)+E(f181(x8663,x8664,x8661,x8665),f181(x8663,x8664,x8662,x8665))
% 199.29/199.25 [867]~E(x8671,x8672)+E(f181(x8673,x8674,x8675,x8671),f181(x8673,x8674,x8675,x8672))
% 199.29/199.25 [868]~E(x8681,x8682)+E(f495(x8681,x8683,x8684,x8685),f495(x8682,x8683,x8684,x8685))
% 199.29/199.25 [869]~E(x8691,x8692)+E(f495(x8693,x8691,x8694,x8695),f495(x8693,x8692,x8694,x8695))
% 199.29/199.25 [870]~E(x8701,x8702)+E(f495(x8703,x8704,x8701,x8705),f495(x8703,x8704,x8702,x8705))
% 199.29/199.25 [871]~E(x8711,x8712)+E(f495(x8713,x8714,x8715,x8711),f495(x8713,x8714,x8715,x8712))
% 199.29/199.25 [872]~E(x8721,x8722)+E(f867(x8721,x8723),f867(x8722,x8723))
% 199.29/199.25 [873]~E(x8731,x8732)+E(f867(x8733,x8731),f867(x8733,x8732))
% 199.29/199.25 [874]~E(x8741,x8742)+E(f795(x8741,x8743,x8744,x8745,x8746,x8747),f795(x8742,x8743,x8744,x8745,x8746,x8747))
% 199.29/199.25 [875]~E(x8751,x8752)+E(f795(x8753,x8751,x8754,x8755,x8756,x8757),f795(x8753,x8752,x8754,x8755,x8756,x8757))
% 199.29/199.25 [876]~E(x8761,x8762)+E(f795(x8763,x8764,x8761,x8765,x8766,x8767),f795(x8763,x8764,x8762,x8765,x8766,x8767))
% 199.29/199.25 [877]~E(x8771,x8772)+E(f795(x8773,x8774,x8775,x8771,x8776,x8777),f795(x8773,x8774,x8775,x8772,x8776,x8777))
% 199.29/199.25 [878]~E(x8781,x8782)+E(f795(x8783,x8784,x8785,x8786,x8781,x8787),f795(x8783,x8784,x8785,x8786,x8782,x8787))
% 199.29/199.25 [879]~E(x8791,x8792)+E(f795(x8793,x8794,x8795,x8796,x8797,x8791),f795(x8793,x8794,x8795,x8796,x8797,x8792))
% 199.29/199.25 [880]~E(x8801,x8802)+E(f586(x8801,x8803,x8804),f586(x8802,x8803,x8804))
% 199.29/199.25 [881]~E(x8811,x8812)+E(f586(x8813,x8811,x8814),f586(x8813,x8812,x8814))
% 199.29/199.25 [882]~E(x8821,x8822)+E(f586(x8823,x8824,x8821),f586(x8823,x8824,x8822))
% 199.29/199.25 [883]~E(x8831,x8832)+E(f277(x8831,x8833),f277(x8832,x8833))
% 199.29/199.25 [884]~E(x8841,x8842)+E(f277(x8843,x8841),f277(x8843,x8842))
% 199.29/199.25 [885]~E(x8851,x8852)+E(f752(x8851,x8853,x8854,x8855),f752(x8852,x8853,x8854,x8855))
% 199.29/199.25 [886]~E(x8861,x8862)+E(f752(x8863,x8861,x8864,x8865),f752(x8863,x8862,x8864,x8865))
% 199.29/199.25 [887]~E(x8871,x8872)+E(f752(x8873,x8874,x8871,x8875),f752(x8873,x8874,x8872,x8875))
% 199.29/199.25 [888]~E(x8881,x8882)+E(f752(x8883,x8884,x8885,x8881),f752(x8883,x8884,x8885,x8882))
% 199.29/199.25 [889]~E(x8891,x8892)+E(f273(x8891,x8893),f273(x8892,x8893))
% 199.29/199.25 [890]~E(x8901,x8902)+E(f273(x8903,x8901),f273(x8903,x8902))
% 199.29/199.25 [891]~E(x8911,x8912)+E(f419(x8911,x8913,x8914,x8915),f419(x8912,x8913,x8914,x8915))
% 199.29/199.25 [892]~E(x8921,x8922)+E(f419(x8923,x8921,x8924,x8925),f419(x8923,x8922,x8924,x8925))
% 199.29/199.25 [893]~E(x8931,x8932)+E(f419(x8933,x8934,x8931,x8935),f419(x8933,x8934,x8932,x8935))
% 199.29/199.25 [894]~E(x8941,x8942)+E(f419(x8943,x8944,x8945,x8941),f419(x8943,x8944,x8945,x8942))
% 199.29/199.25 [895]~E(x8951,x8952)+E(f850(x8951,x8953,x8954),f850(x8952,x8953,x8954))
% 199.29/199.25 [896]~E(x8961,x8962)+E(f850(x8963,x8961,x8964),f850(x8963,x8962,x8964))
% 199.29/199.25 [897]~E(x8971,x8972)+E(f850(x8973,x8974,x8971),f850(x8973,x8974,x8972))
% 199.29/199.25 [898]~E(x8981,x8982)+E(f602(x8981,x8983,x8984),f602(x8982,x8983,x8984))
% 199.29/199.25 [899]~E(x8991,x8992)+E(f602(x8993,x8991,x8994),f602(x8993,x8992,x8994))
% 199.29/199.25 [900]~E(x9001,x9002)+E(f602(x9003,x9004,x9001),f602(x9003,x9004,x9002))
% 199.29/199.25 [901]~E(x9011,x9012)+E(f203(x9011),f203(x9012))
% 199.29/199.25 [902]~E(x9021,x9022)+E(f642(x9021,x9023,x9024,x9025),f642(x9022,x9023,x9024,x9025))
% 199.29/199.25 [903]~E(x9031,x9032)+E(f642(x9033,x9031,x9034,x9035),f642(x9033,x9032,x9034,x9035))
% 199.29/199.25 [904]~E(x9041,x9042)+E(f642(x9043,x9044,x9041,x9045),f642(x9043,x9044,x9042,x9045))
% 199.29/199.25 [905]~E(x9051,x9052)+E(f642(x9053,x9054,x9055,x9051),f642(x9053,x9054,x9055,x9052))
% 199.29/199.25 [906]~E(x9061,x9062)+E(f788(x9061,x9063,x9064),f788(x9062,x9063,x9064))
% 199.29/199.25 [907]~E(x9071,x9072)+E(f788(x9073,x9071,x9074),f788(x9073,x9072,x9074))
% 199.29/199.25 [908]~E(x9081,x9082)+E(f788(x9083,x9084,x9081),f788(x9083,x9084,x9082))
% 199.29/199.25 [909]~E(x9091,x9092)+E(f183(x9091,x9093),f183(x9092,x9093))
% 199.29/199.25 [910]~E(x9101,x9102)+E(f183(x9103,x9101),f183(x9103,x9102))
% 199.29/199.25 [911]~E(x9111,x9112)+E(f259(x9111,x9113),f259(x9112,x9113))
% 199.29/199.25 [912]~E(x9121,x9122)+E(f259(x9123,x9121),f259(x9123,x9122))
% 199.29/199.25 [913]~E(x9131,x9132)+E(f111(x9131,x9133),f111(x9132,x9133))
% 199.29/199.25 [914]~E(x9141,x9142)+E(f111(x9143,x9141),f111(x9143,x9142))
% 199.29/199.25 [915]~E(x9151,x9152)+E(f737(x9151,x9153,x9154),f737(x9152,x9153,x9154))
% 199.29/199.25 [916]~E(x9161,x9162)+E(f737(x9163,x9161,x9164),f737(x9163,x9162,x9164))
% 199.29/199.25 [917]~E(x9171,x9172)+E(f737(x9173,x9174,x9171),f737(x9173,x9174,x9172))
% 199.29/199.25 [918]~E(x9181,x9182)+E(f711(x9181,x9183),f711(x9182,x9183))
% 199.29/199.25 [919]~E(x9191,x9192)+E(f711(x9193,x9191),f711(x9193,x9192))
% 199.29/199.25 [920]~E(x9201,x9202)+E(f582(x9201,x9203,x9204),f582(x9202,x9203,x9204))
% 199.29/199.25 [921]~E(x9211,x9212)+E(f582(x9213,x9211,x9214),f582(x9213,x9212,x9214))
% 199.29/199.25 [922]~E(x9221,x9222)+E(f582(x9223,x9224,x9221),f582(x9223,x9224,x9222))
% 199.29/199.25 [923]~E(x9231,x9232)+E(f621(x9231,x9233,x9234,x9235,x9236),f621(x9232,x9233,x9234,x9235,x9236))
% 199.29/199.25 [924]~E(x9241,x9242)+E(f621(x9243,x9241,x9244,x9245,x9246),f621(x9243,x9242,x9244,x9245,x9246))
% 199.29/199.25 [925]~E(x9251,x9252)+E(f621(x9253,x9254,x9251,x9255,x9256),f621(x9253,x9254,x9252,x9255,x9256))
% 199.29/199.25 [926]~E(x9261,x9262)+E(f621(x9263,x9264,x9265,x9261,x9266),f621(x9263,x9264,x9265,x9262,x9266))
% 199.29/199.25 [927]~E(x9271,x9272)+E(f621(x9273,x9274,x9275,x9276,x9271),f621(x9273,x9274,x9275,x9276,x9272))
% 199.29/199.25 [928]~E(x9281,x9282)+E(f346(x9281,x9283),f346(x9282,x9283))
% 199.29/199.25 [929]~E(x9291,x9292)+E(f346(x9293,x9291),f346(x9293,x9292))
% 199.29/199.25 [930]~E(x9301,x9302)+E(f596(x9301,x9303,x9304),f596(x9302,x9303,x9304))
% 199.29/199.25 [931]~E(x9311,x9312)+E(f596(x9313,x9311,x9314),f596(x9313,x9312,x9314))
% 199.29/199.25 [932]~E(x9321,x9322)+E(f596(x9323,x9324,x9321),f596(x9323,x9324,x9322))
% 199.29/199.25 [933]~E(x9331,x9332)+E(f334(x9331,x9333,x9334),f334(x9332,x9333,x9334))
% 199.29/199.25 [934]~E(x9341,x9342)+E(f334(x9343,x9341,x9344),f334(x9343,x9342,x9344))
% 199.29/199.25 [935]~E(x9351,x9352)+E(f334(x9353,x9354,x9351),f334(x9353,x9354,x9352))
% 199.29/199.25 [936]~E(x9361,x9362)+E(f519(x9361,x9363,x9364,x9365),f519(x9362,x9363,x9364,x9365))
% 199.29/199.25 [937]~E(x9371,x9372)+E(f519(x9373,x9371,x9374,x9375),f519(x9373,x9372,x9374,x9375))
% 199.29/199.25 [938]~E(x9381,x9382)+E(f519(x9383,x9384,x9381,x9385),f519(x9383,x9384,x9382,x9385))
% 199.29/199.25 [939]~E(x9391,x9392)+E(f519(x9393,x9394,x9395,x9391),f519(x9393,x9394,x9395,x9392))
% 199.29/199.25 [940]~E(x9401,x9402)+E(f523(x9401,x9403,x9404,x9405,x9406,x9407),f523(x9402,x9403,x9404,x9405,x9406,x9407))
% 199.29/199.25 [941]~E(x9411,x9412)+E(f523(x9413,x9411,x9414,x9415,x9416,x9417),f523(x9413,x9412,x9414,x9415,x9416,x9417))
% 199.29/199.25 [942]~E(x9421,x9422)+E(f523(x9423,x9424,x9421,x9425,x9426,x9427),f523(x9423,x9424,x9422,x9425,x9426,x9427))
% 199.29/199.25 [943]~E(x9431,x9432)+E(f523(x9433,x9434,x9435,x9431,x9436,x9437),f523(x9433,x9434,x9435,x9432,x9436,x9437))
% 199.29/199.25 [944]~E(x9441,x9442)+E(f523(x9443,x9444,x9445,x9446,x9441,x9447),f523(x9443,x9444,x9445,x9446,x9442,x9447))
% 199.29/199.25 [945]~E(x9451,x9452)+E(f523(x9453,x9454,x9455,x9456,x9457,x9451),f523(x9453,x9454,x9455,x9456,x9457,x9452))
% 199.29/199.25 [946]~E(x9461,x9462)+E(f887(x9461,x9463,x9464,x9465,x9466),f887(x9462,x9463,x9464,x9465,x9466))
% 199.29/199.25 [947]~E(x9471,x9472)+E(f887(x9473,x9471,x9474,x9475,x9476),f887(x9473,x9472,x9474,x9475,x9476))
% 199.29/199.25 [948]~E(x9481,x9482)+E(f887(x9483,x9484,x9481,x9485,x9486),f887(x9483,x9484,x9482,x9485,x9486))
% 199.29/199.25 [949]~E(x9491,x9492)+E(f887(x9493,x9494,x9495,x9491,x9496),f887(x9493,x9494,x9495,x9492,x9496))
% 199.29/199.25 [950]~E(x9501,x9502)+E(f887(x9503,x9504,x9505,x9506,x9501),f887(x9503,x9504,x9505,x9506,x9502))
% 199.29/199.25 [951]~E(x9511,x9512)+E(f439(x9511,x9513,x9514,x9515),f439(x9512,x9513,x9514,x9515))
% 199.29/199.25 [952]~E(x9521,x9522)+E(f439(x9523,x9521,x9524,x9525),f439(x9523,x9522,x9524,x9525))
% 199.29/199.25 [953]~E(x9531,x9532)+E(f439(x9533,x9534,x9531,x9535),f439(x9533,x9534,x9532,x9535))
% 199.29/199.25 [954]~E(x9541,x9542)+E(f439(x9543,x9544,x9545,x9541),f439(x9543,x9544,x9545,x9542))
% 199.29/199.25 [955]~E(x9551,x9552)+E(f594(x9551,x9553,x9554,x9555,x9556,x9557,x9558,x9559),f594(x9552,x9553,x9554,x9555,x9556,x9557,x9558,x9559))
% 199.29/199.25 [956]~E(x9561,x9562)+E(f594(x9563,x9561,x9564,x9565,x9566,x9567,x9568,x9569),f594(x9563,x9562,x9564,x9565,x9566,x9567,x9568,x9569))
% 199.29/199.25 [957]~E(x9571,x9572)+E(f594(x9573,x9574,x9571,x9575,x9576,x9577,x9578,x9579),f594(x9573,x9574,x9572,x9575,x9576,x9577,x9578,x9579))
% 199.29/199.25 [958]~E(x9581,x9582)+E(f594(x9583,x9584,x9585,x9581,x9586,x9587,x9588,x9589),f594(x9583,x9584,x9585,x9582,x9586,x9587,x9588,x9589))
% 199.29/199.25 [959]~E(x9591,x9592)+E(f594(x9593,x9594,x9595,x9596,x9591,x9597,x9598,x9599),f594(x9593,x9594,x9595,x9596,x9592,x9597,x9598,x9599))
% 199.29/199.25 [960]~E(x9601,x9602)+E(f594(x9603,x9604,x9605,x9606,x9607,x9601,x9608,x9609),f594(x9603,x9604,x9605,x9606,x9607,x9602,x9608,x9609))
% 199.29/199.25 [961]~E(x9611,x9612)+E(f594(x9613,x9614,x9615,x9616,x9617,x9618,x9611,x9619),f594(x9613,x9614,x9615,x9616,x9617,x9618,x9612,x9619))
% 199.29/199.25 [962]~E(x9621,x9622)+E(f594(x9623,x9624,x9625,x9626,x9627,x9628,x9629,x9621),f594(x9623,x9624,x9625,x9626,x9627,x9628,x9629,x9622))
% 199.29/199.25 [963]~E(x9631,x9632)+E(f535(x9631,x9633),f535(x9632,x9633))
% 199.29/199.25 [964]~E(x9641,x9642)+E(f535(x9643,x9641),f535(x9643,x9642))
% 199.29/199.25 [965]~E(x9651,x9652)+E(f302(x9651,x9653),f302(x9652,x9653))
% 199.29/199.25 [966]~E(x9661,x9662)+E(f302(x9663,x9661),f302(x9663,x9662))
% 199.29/199.25 [967]~E(x9671,x9672)+E(f763(x9671),f763(x9672))
% 199.29/199.25 [968]~E(x9681,x9682)+E(f856(x9681,x9683,x9684,x9685),f856(x9682,x9683,x9684,x9685))
% 199.29/199.25 [969]~E(x9691,x9692)+E(f856(x9693,x9691,x9694,x9695),f856(x9693,x9692,x9694,x9695))
% 199.29/199.25 [970]~E(x9701,x9702)+E(f856(x9703,x9704,x9701,x9705),f856(x9703,x9704,x9702,x9705))
% 199.29/199.25 [971]~E(x9711,x9712)+E(f856(x9713,x9714,x9715,x9711),f856(x9713,x9714,x9715,x9712))
% 199.29/199.25 [972]~E(x9721,x9722)+E(f571(x9721,x9723,x9724,x9725),f571(x9722,x9723,x9724,x9725))
% 199.29/199.25 [973]~E(x9731,x9732)+E(f571(x9733,x9731,x9734,x9735),f571(x9733,x9732,x9734,x9735))
% 199.29/199.25 [974]~E(x9741,x9742)+E(f571(x9743,x9744,x9741,x9745),f571(x9743,x9744,x9742,x9745))
% 199.29/199.25 [975]~E(x9751,x9752)+E(f571(x9753,x9754,x9755,x9751),f571(x9753,x9754,x9755,x9752))
% 199.29/199.25 [976]~E(x9761,x9762)+E(f725(x9761,x9763,x9764,x9765,x9766),f725(x9762,x9763,x9764,x9765,x9766))
% 199.29/199.25 [977]~E(x9771,x9772)+E(f725(x9773,x9771,x9774,x9775,x9776),f725(x9773,x9772,x9774,x9775,x9776))
% 199.29/199.25 [978]~E(x9781,x9782)+E(f725(x9783,x9784,x9781,x9785,x9786),f725(x9783,x9784,x9782,x9785,x9786))
% 199.29/199.25 [979]~E(x9791,x9792)+E(f725(x9793,x9794,x9795,x9791,x9796),f725(x9793,x9794,x9795,x9792,x9796))
% 199.29/199.25 [980]~E(x9801,x9802)+E(f725(x9803,x9804,x9805,x9806,x9801),f725(x9803,x9804,x9805,x9806,x9802))
% 199.29/199.25 [981]~E(x9811,x9812)+E(f156(x9811,x9813,x9814),f156(x9812,x9813,x9814))
% 199.29/199.25 [982]~E(x9821,x9822)+E(f156(x9823,x9821,x9824),f156(x9823,x9822,x9824))
% 199.29/199.25 [983]~E(x9831,x9832)+E(f156(x9833,x9834,x9831),f156(x9833,x9834,x9832))
% 199.29/199.25 [984]~E(x9841,x9842)+E(f350(x9841,x9843,x9844,x9845,x9846),f350(x9842,x9843,x9844,x9845,x9846))
% 199.29/199.25 [985]~E(x9851,x9852)+E(f350(x9853,x9851,x9854,x9855,x9856),f350(x9853,x9852,x9854,x9855,x9856))
% 199.29/199.25 [986]~E(x9861,x9862)+E(f350(x9863,x9864,x9861,x9865,x9866),f350(x9863,x9864,x9862,x9865,x9866))
% 199.29/199.25 [987]~E(x9871,x9872)+E(f350(x9873,x9874,x9875,x9871,x9876),f350(x9873,x9874,x9875,x9872,x9876))
% 199.29/199.25 [988]~E(x9881,x9882)+E(f350(x9883,x9884,x9885,x9886,x9881),f350(x9883,x9884,x9885,x9886,x9882))
% 199.29/199.25 [989]~E(x9891,x9892)+E(f340(x9891,x9893,x9894,x9895,x9896),f340(x9892,x9893,x9894,x9895,x9896))
% 199.29/199.25 [990]~E(x9901,x9902)+E(f340(x9903,x9901,x9904,x9905,x9906),f340(x9903,x9902,x9904,x9905,x9906))
% 199.29/199.25 [991]~E(x9911,x9912)+E(f340(x9913,x9914,x9911,x9915,x9916),f340(x9913,x9914,x9912,x9915,x9916))
% 199.29/199.25 [992]~E(x9921,x9922)+E(f340(x9923,x9924,x9925,x9921,x9926),f340(x9923,x9924,x9925,x9922,x9926))
% 199.29/199.25 [993]~E(x9931,x9932)+E(f340(x9933,x9934,x9935,x9936,x9931),f340(x9933,x9934,x9935,x9936,x9932))
% 199.29/199.25 [994]~E(x9941,x9942)+E(f532(x9941,x9943,x9944,x9945,x9946,x9947),f532(x9942,x9943,x9944,x9945,x9946,x9947))
% 199.29/199.25 [995]~E(x9951,x9952)+E(f532(x9953,x9951,x9954,x9955,x9956,x9957),f532(x9953,x9952,x9954,x9955,x9956,x9957))
% 199.29/199.25 [996]~E(x9961,x9962)+E(f532(x9963,x9964,x9961,x9965,x9966,x9967),f532(x9963,x9964,x9962,x9965,x9966,x9967))
% 199.29/199.25 [997]~E(x9971,x9972)+E(f532(x9973,x9974,x9975,x9971,x9976,x9977),f532(x9973,x9974,x9975,x9972,x9976,x9977))
% 199.29/199.25 [998]~E(x9981,x9982)+E(f532(x9983,x9984,x9985,x9986,x9981,x9987),f532(x9983,x9984,x9985,x9986,x9982,x9987))
% 199.29/199.25 [999]~E(x9991,x9992)+E(f532(x9993,x9994,x9995,x9996,x9997,x9991),f532(x9993,x9994,x9995,x9996,x9997,x9992))
% 199.29/199.25 [1000]~E(x10001,x10002)+E(f108(x10001,x10003,x10004),f108(x10002,x10003,x10004))
% 199.29/199.25 [1001]~E(x10011,x10012)+E(f108(x10013,x10011,x10014),f108(x10013,x10012,x10014))
% 199.29/199.25 [1002]~E(x10021,x10022)+E(f108(x10023,x10024,x10021),f108(x10023,x10024,x10022))
% 199.29/199.25 [1003]~E(x10031,x10032)+E(f836(x10031,x10033,x10034,x10035,x10036,x10037,x10038),f836(x10032,x10033,x10034,x10035,x10036,x10037,x10038))
% 199.29/199.25 [1004]~E(x10041,x10042)+E(f836(x10043,x10041,x10044,x10045,x10046,x10047,x10048),f836(x10043,x10042,x10044,x10045,x10046,x10047,x10048))
% 199.29/199.25 [1005]~E(x10051,x10052)+E(f836(x10053,x10054,x10051,x10055,x10056,x10057,x10058),f836(x10053,x10054,x10052,x10055,x10056,x10057,x10058))
% 199.29/199.25 [1006]~E(x10061,x10062)+E(f836(x10063,x10064,x10065,x10061,x10066,x10067,x10068),f836(x10063,x10064,x10065,x10062,x10066,x10067,x10068))
% 199.29/199.25 [1007]~E(x10071,x10072)+E(f836(x10073,x10074,x10075,x10076,x10071,x10077,x10078),f836(x10073,x10074,x10075,x10076,x10072,x10077,x10078))
% 199.29/199.25 [1008]~E(x10081,x10082)+E(f836(x10083,x10084,x10085,x10086,x10087,x10081,x10088),f836(x10083,x10084,x10085,x10086,x10087,x10082,x10088))
% 199.29/199.25 [1009]~E(x10091,x10092)+E(f836(x10093,x10094,x10095,x10096,x10097,x10098,x10091),f836(x10093,x10094,x10095,x10096,x10097,x10098,x10092))
% 199.29/199.25 [1010]~E(x10101,x10102)+E(f638(x10101,x10103,x10104,x10105),f638(x10102,x10103,x10104,x10105))
% 199.29/199.25 [1011]~E(x10111,x10112)+E(f638(x10113,x10111,x10114,x10115),f638(x10113,x10112,x10114,x10115))
% 199.29/199.25 [1012]~E(x10121,x10122)+E(f638(x10123,x10124,x10121,x10125),f638(x10123,x10124,x10122,x10125))
% 199.29/199.25 [1013]~E(x10131,x10132)+E(f638(x10133,x10134,x10135,x10131),f638(x10133,x10134,x10135,x10132))
% 199.29/199.25 [1014]~E(x10141,x10142)+E(f819(x10141,x10143,x10144,x10145,x10146,x10147),f819(x10142,x10143,x10144,x10145,x10146,x10147))
% 199.29/199.25 [1015]~E(x10151,x10152)+E(f819(x10153,x10151,x10154,x10155,x10156,x10157),f819(x10153,x10152,x10154,x10155,x10156,x10157))
% 199.29/199.25 [1016]~E(x10161,x10162)+E(f819(x10163,x10164,x10161,x10165,x10166,x10167),f819(x10163,x10164,x10162,x10165,x10166,x10167))
% 199.29/199.25 [1017]~E(x10171,x10172)+E(f819(x10173,x10174,x10175,x10171,x10176,x10177),f819(x10173,x10174,x10175,x10172,x10176,x10177))
% 199.29/199.25 [1018]~E(x10181,x10182)+E(f819(x10183,x10184,x10185,x10186,x10181,x10187),f819(x10183,x10184,x10185,x10186,x10182,x10187))
% 199.29/199.25 [1019]~E(x10191,x10192)+E(f819(x10193,x10194,x10195,x10196,x10197,x10191),f819(x10193,x10194,x10195,x10196,x10197,x10192))
% 199.29/199.25 [1020]~E(x10201,x10202)+E(f283(x10201,x10203,x10204),f283(x10202,x10203,x10204))
% 199.29/199.25 [1021]~E(x10211,x10212)+E(f283(x10213,x10211,x10214),f283(x10213,x10212,x10214))
% 199.29/199.25 [1022]~E(x10221,x10222)+E(f283(x10223,x10224,x10221),f283(x10223,x10224,x10222))
% 199.29/199.25 [1023]~E(x10231,x10232)+E(f808(x10231,x10233,x10234,x10235,x10236),f808(x10232,x10233,x10234,x10235,x10236))
% 199.29/199.25 [1024]~E(x10241,x10242)+E(f808(x10243,x10241,x10244,x10245,x10246),f808(x10243,x10242,x10244,x10245,x10246))
% 199.29/199.25 [1025]~E(x10251,x10252)+E(f808(x10253,x10254,x10251,x10255,x10256),f808(x10253,x10254,x10252,x10255,x10256))
% 199.29/199.25 [1026]~E(x10261,x10262)+E(f808(x10263,x10264,x10265,x10261,x10266),f808(x10263,x10264,x10265,x10262,x10266))
% 199.29/199.25 [1027]~E(x10271,x10272)+E(f808(x10273,x10274,x10275,x10276,x10271),f808(x10273,x10274,x10275,x10276,x10272))
% 199.29/199.25 [1028]~E(x10281,x10282)+E(f740(x10281,x10283,x10284),f740(x10282,x10283,x10284))
% 199.29/199.25 [1029]~E(x10291,x10292)+E(f740(x10293,x10291,x10294),f740(x10293,x10292,x10294))
% 199.29/199.25 [1030]~E(x10301,x10302)+E(f740(x10303,x10304,x10301),f740(x10303,x10304,x10302))
% 199.29/199.25 [1031]~E(x10311,x10312)+E(f402(x10311,x10313,x10314),f402(x10312,x10313,x10314))
% 199.29/199.25 [1032]~E(x10321,x10322)+E(f402(x10323,x10321,x10324),f402(x10323,x10322,x10324))
% 199.29/199.25 [1033]~E(x10331,x10332)+E(f402(x10333,x10334,x10331),f402(x10333,x10334,x10332))
% 199.29/199.25 [1034]~E(x10341,x10342)+E(f496(x10341,x10343,x10344,x10345,x10346),f496(x10342,x10343,x10344,x10345,x10346))
% 199.29/199.25 [1035]~E(x10351,x10352)+E(f496(x10353,x10351,x10354,x10355,x10356),f496(x10353,x10352,x10354,x10355,x10356))
% 199.29/199.25 [1036]~E(x10361,x10362)+E(f496(x10363,x10364,x10361,x10365,x10366),f496(x10363,x10364,x10362,x10365,x10366))
% 199.29/199.25 [1037]~E(x10371,x10372)+E(f496(x10373,x10374,x10375,x10371,x10376),f496(x10373,x10374,x10375,x10372,x10376))
% 199.29/199.25 [1038]~E(x10381,x10382)+E(f496(x10383,x10384,x10385,x10386,x10381),f496(x10383,x10384,x10385,x10386,x10382))
% 199.29/199.25 [1039]~E(x10391,x10392)+E(f416(x10391,x10393),f416(x10392,x10393))
% 199.29/199.25 [1040]~E(x10401,x10402)+E(f416(x10403,x10401),f416(x10403,x10402))
% 199.29/199.25 [1041]~E(x10411,x10412)+E(f207(x10411,x10413),f207(x10412,x10413))
% 199.29/199.25 [1042]~E(x10421,x10422)+E(f207(x10423,x10421),f207(x10423,x10422))
% 199.29/199.25 [1043]~E(x10431,x10432)+E(f494(x10431),f494(x10432))
% 199.29/199.25 [1044]~E(x10441,x10442)+E(f380(x10441,x10443,x10444,x10445),f380(x10442,x10443,x10444,x10445))
% 199.29/199.25 [1045]~E(x10451,x10452)+E(f380(x10453,x10451,x10454,x10455),f380(x10453,x10452,x10454,x10455))
% 199.29/199.25 [1046]~E(x10461,x10462)+E(f380(x10463,x10464,x10461,x10465),f380(x10463,x10464,x10462,x10465))
% 199.29/199.25 [1047]~E(x10471,x10472)+E(f380(x10473,x10474,x10475,x10471),f380(x10473,x10474,x10475,x10472))
% 199.29/199.25 [1048]~E(x10481,x10482)+E(f550(x10481,x10483),f550(x10482,x10483))
% 199.29/199.25 [1049]~E(x10491,x10492)+E(f550(x10493,x10491),f550(x10493,x10492))
% 199.29/199.25 [1050]~E(x10501,x10502)+E(f855(x10501,x10503,x10504,x10505),f855(x10502,x10503,x10504,x10505))
% 199.29/199.25 [1051]~E(x10511,x10512)+E(f855(x10513,x10511,x10514,x10515),f855(x10513,x10512,x10514,x10515))
% 199.29/199.25 [1052]~E(x10521,x10522)+E(f855(x10523,x10524,x10521,x10525),f855(x10523,x10524,x10522,x10525))
% 199.29/199.25 [1053]~E(x10531,x10532)+E(f855(x10533,x10534,x10535,x10531),f855(x10533,x10534,x10535,x10532))
% 199.29/199.25 [1054]~E(x10541,x10542)+E(f570(x10541,x10543),f570(x10542,x10543))
% 199.29/199.25 [1055]~E(x10551,x10552)+E(f570(x10553,x10551),f570(x10553,x10552))
% 199.29/199.25 [1056]~E(x10561,x10562)+E(f694(x10561,x10563,x10564),f694(x10562,x10563,x10564))
% 199.29/199.25 [1057]~E(x10571,x10572)+E(f694(x10573,x10571,x10574),f694(x10573,x10572,x10574))
% 199.29/199.25 [1058]~E(x10581,x10582)+E(f694(x10583,x10584,x10581),f694(x10583,x10584,x10582))
% 199.29/199.25 [1059]~E(x10591,x10592)+E(f477(x10591,x10593,x10594,x10595,x10596),f477(x10592,x10593,x10594,x10595,x10596))
% 199.29/199.25 [1060]~E(x10601,x10602)+E(f477(x10603,x10601,x10604,x10605,x10606),f477(x10603,x10602,x10604,x10605,x10606))
% 199.29/199.25 [1061]~E(x10611,x10612)+E(f477(x10613,x10614,x10611,x10615,x10616),f477(x10613,x10614,x10612,x10615,x10616))
% 199.29/199.25 [1062]~E(x10621,x10622)+E(f477(x10623,x10624,x10625,x10621,x10626),f477(x10623,x10624,x10625,x10622,x10626))
% 199.29/199.25 [1063]~E(x10631,x10632)+E(f477(x10633,x10634,x10635,x10636,x10631),f477(x10633,x10634,x10635,x10636,x10632))
% 199.29/199.25 [1064]~E(x10641,x10642)+E(f39(x10641),f39(x10642))
% 199.29/199.25 [1065]~E(x10651,x10652)+E(f792(x10651,x10653,x10654),f792(x10652,x10653,x10654))
% 199.29/199.25 [1066]~E(x10661,x10662)+E(f792(x10663,x10661,x10664),f792(x10663,x10662,x10664))
% 199.29/199.25 [1067]~E(x10671,x10672)+E(f792(x10673,x10674,x10671),f792(x10673,x10674,x10672))
% 199.29/199.25 [1068]~E(x10681,x10682)+E(f683(x10681,x10683,x10684,x10685,x10686),f683(x10682,x10683,x10684,x10685,x10686))
% 199.29/199.25 [1069]~E(x10691,x10692)+E(f683(x10693,x10691,x10694,x10695,x10696),f683(x10693,x10692,x10694,x10695,x10696))
% 199.29/199.25 [1070]~E(x10701,x10702)+E(f683(x10703,x10704,x10701,x10705,x10706),f683(x10703,x10704,x10702,x10705,x10706))
% 199.29/199.25 [1071]~E(x10711,x10712)+E(f683(x10713,x10714,x10715,x10711,x10716),f683(x10713,x10714,x10715,x10712,x10716))
% 199.29/199.25 [1072]~E(x10721,x10722)+E(f683(x10723,x10724,x10725,x10726,x10721),f683(x10723,x10724,x10725,x10726,x10722))
% 199.29/199.25 [1073]~E(x10731,x10732)+E(f558(x10731,x10733),f558(x10732,x10733))
% 199.29/199.25 [1074]~E(x10741,x10742)+E(f558(x10743,x10741),f558(x10743,x10742))
% 199.29/199.25 [1075]~E(x10751,x10752)+E(f349(x10751,x10753,x10754,x10755),f349(x10752,x10753,x10754,x10755))
% 199.29/199.25 [1076]~E(x10761,x10762)+E(f349(x10763,x10761,x10764,x10765),f349(x10763,x10762,x10764,x10765))
% 199.29/199.25 [1077]~E(x10771,x10772)+E(f349(x10773,x10774,x10771,x10775),f349(x10773,x10774,x10772,x10775))
% 199.29/199.25 [1078]~E(x10781,x10782)+E(f349(x10783,x10784,x10785,x10781),f349(x10783,x10784,x10785,x10782))
% 199.29/199.25 [1079]~E(x10791,x10792)+E(f170(x10791),f170(x10792))
% 199.29/199.25 [1080]~E(x10801,x10802)+E(f825(x10801,x10803,x10804,x10805,x10806,x10807,x10808,x10809),f825(x10802,x10803,x10804,x10805,x10806,x10807,x10808,x10809))
% 199.29/199.25 [1081]~E(x10811,x10812)+E(f825(x10813,x10811,x10814,x10815,x10816,x10817,x10818,x10819),f825(x10813,x10812,x10814,x10815,x10816,x10817,x10818,x10819))
% 199.29/199.25 [1082]~E(x10821,x10822)+E(f825(x10823,x10824,x10821,x10825,x10826,x10827,x10828,x10829),f825(x10823,x10824,x10822,x10825,x10826,x10827,x10828,x10829))
% 199.29/199.25 [1083]~E(x10831,x10832)+E(f825(x10833,x10834,x10835,x10831,x10836,x10837,x10838,x10839),f825(x10833,x10834,x10835,x10832,x10836,x10837,x10838,x10839))
% 199.29/199.25 [1084]~E(x10841,x10842)+E(f825(x10843,x10844,x10845,x10846,x10841,x10847,x10848,x10849),f825(x10843,x10844,x10845,x10846,x10842,x10847,x10848,x10849))
% 199.29/199.25 [1085]~E(x10851,x10852)+E(f825(x10853,x10854,x10855,x10856,x10857,x10851,x10858,x10859),f825(x10853,x10854,x10855,x10856,x10857,x10852,x10858,x10859))
% 199.29/199.25 [1086]~E(x10861,x10862)+E(f825(x10863,x10864,x10865,x10866,x10867,x10868,x10861,x10869),f825(x10863,x10864,x10865,x10866,x10867,x10868,x10862,x10869))
% 199.29/199.25 [1087]~E(x10871,x10872)+E(f825(x10873,x10874,x10875,x10876,x10877,x10878,x10879,x10871),f825(x10873,x10874,x10875,x10876,x10877,x10878,x10879,x10872))
% 199.29/199.25 [1088]~E(x10881,x10882)+E(f374(x10881),f374(x10882))
% 199.29/199.25 [1089]~E(x10891,x10892)+E(f830(x10891,x10893,x10894),f830(x10892,x10893,x10894))
% 199.29/199.25 [1090]~E(x10901,x10902)+E(f830(x10903,x10901,x10904),f830(x10903,x10902,x10904))
% 199.29/199.25 [1091]~E(x10911,x10912)+E(f830(x10913,x10914,x10911),f830(x10913,x10914,x10912))
% 199.29/199.25 [1092]~E(x10921,x10922)+E(f894(x10921,x10923,x10924,x10925),f894(x10922,x10923,x10924,x10925))
% 199.29/199.25 [1093]~E(x10931,x10932)+E(f894(x10933,x10931,x10934,x10935),f894(x10933,x10932,x10934,x10935))
% 199.29/199.25 [1094]~E(x10941,x10942)+E(f894(x10943,x10944,x10941,x10945),f894(x10943,x10944,x10942,x10945))
% 199.29/199.25 [1095]~E(x10951,x10952)+E(f894(x10953,x10954,x10955,x10951),f894(x10953,x10954,x10955,x10952))
% 199.29/199.25 [1096]~E(x10961,x10962)+E(f639(x10961,x10963,x10964,x10965),f639(x10962,x10963,x10964,x10965))
% 199.29/199.25 [1097]~E(x10971,x10972)+E(f639(x10973,x10971,x10974,x10975),f639(x10973,x10972,x10974,x10975))
% 199.29/199.25 [1098]~E(x10981,x10982)+E(f639(x10983,x10984,x10981,x10985),f639(x10983,x10984,x10982,x10985))
% 199.29/199.25 [1099]~E(x10991,x10992)+E(f639(x10993,x10994,x10995,x10991),f639(x10993,x10994,x10995,x10992))
% 199.29/199.25 [1100]~E(x11001,x11002)+E(f893(x11001,x11003,x11004),f893(x11002,x11003,x11004))
% 199.29/199.25 [1101]~E(x11011,x11012)+E(f893(x11013,x11011,x11014),f893(x11013,x11012,x11014))
% 199.29/199.25 [1102]~E(x11021,x11022)+E(f893(x11023,x11024,x11021),f893(x11023,x11024,x11022))
% 199.29/199.25 [1103]~E(x11031,x11032)+E(f383(x11031,x11033),f383(x11032,x11033))
% 199.29/199.25 [1104]~E(x11041,x11042)+E(f383(x11043,x11041),f383(x11043,x11042))
% 199.29/199.25 [1105]~E(x11051,x11052)+E(f750(x11051,x11053,x11054,x11055),f750(x11052,x11053,x11054,x11055))
% 199.29/199.25 [1106]~E(x11061,x11062)+E(f750(x11063,x11061,x11064,x11065),f750(x11063,x11062,x11064,x11065))
% 199.29/199.25 [1107]~E(x11071,x11072)+E(f750(x11073,x11074,x11071,x11075),f750(x11073,x11074,x11072,x11075))
% 199.29/199.25 [1108]~E(x11081,x11082)+E(f750(x11083,x11084,x11085,x11081),f750(x11083,x11084,x11085,x11082))
% 199.29/199.25 [1109]~E(x11091,x11092)+E(f284(x11091,x11093,x11094),f284(x11092,x11093,x11094))
% 199.29/199.25 [1110]~E(x11101,x11102)+E(f284(x11103,x11101,x11104),f284(x11103,x11102,x11104))
% 199.29/199.25 [1111]~E(x11111,x11112)+E(f284(x11113,x11114,x11111),f284(x11113,x11114,x11112))
% 199.29/199.25 [1112]~E(x11121,x11122)+E(f354(x11121,x11123,x11124),f354(x11122,x11123,x11124))
% 199.29/199.25 [1113]~E(x11131,x11132)+E(f354(x11133,x11131,x11134),f354(x11133,x11132,x11134))
% 199.29/199.25 [1114]~E(x11141,x11142)+E(f354(x11143,x11144,x11141),f354(x11143,x11144,x11142))
% 199.29/199.25 [1115]~E(x11151,x11152)+E(f859(x11151,x11153,x11154,x11155,x11156),f859(x11152,x11153,x11154,x11155,x11156))
% 199.29/199.25 [1116]~E(x11161,x11162)+E(f859(x11163,x11161,x11164,x11165,x11166),f859(x11163,x11162,x11164,x11165,x11166))
% 199.29/199.25 [1117]~E(x11171,x11172)+E(f859(x11173,x11174,x11171,x11175,x11176),f859(x11173,x11174,x11172,x11175,x11176))
% 199.29/199.25 [1118]~E(x11181,x11182)+E(f859(x11183,x11184,x11185,x11181,x11186),f859(x11183,x11184,x11185,x11182,x11186))
% 199.29/199.25 [1119]~E(x11191,x11192)+E(f859(x11193,x11194,x11195,x11196,x11191),f859(x11193,x11194,x11195,x11196,x11192))
% 199.29/199.25 [1120]~E(x11201,x11202)+E(f812(x11201,x11203,x11204,x11205),f812(x11202,x11203,x11204,x11205))
% 199.29/199.25 [1121]~E(x11211,x11212)+E(f812(x11213,x11211,x11214,x11215),f812(x11213,x11212,x11214,x11215))
% 199.29/199.25 [1122]~E(x11221,x11222)+E(f812(x11223,x11224,x11221,x11225),f812(x11223,x11224,x11222,x11225))
% 199.29/199.25 [1123]~E(x11231,x11232)+E(f812(x11233,x11234,x11235,x11231),f812(x11233,x11234,x11235,x11232))
% 199.29/199.25 [1124]~E(x11241,x11242)+E(f176(x11241),f176(x11242))
% 199.29/199.25 [1125]~E(x11251,x11252)+E(f722(x11251,x11253,x11254,x11255),f722(x11252,x11253,x11254,x11255))
% 199.29/199.25 [1126]~E(x11261,x11262)+E(f722(x11263,x11261,x11264,x11265),f722(x11263,x11262,x11264,x11265))
% 199.29/199.25 [1127]~E(x11271,x11272)+E(f722(x11273,x11274,x11271,x11275),f722(x11273,x11274,x11272,x11275))
% 199.29/199.25 [1128]~E(x11281,x11282)+E(f722(x11283,x11284,x11285,x11281),f722(x11283,x11284,x11285,x11282))
% 199.29/199.25 [1129]~E(x11291,x11292)+E(f868(x11291,x11293),f868(x11292,x11293))
% 199.29/199.25 [1130]~E(x11301,x11302)+E(f868(x11303,x11301),f868(x11303,x11302))
% 199.29/199.25 [1131]~E(x11311,x11312)+E(f749(x11311,x11313,x11314),f749(x11312,x11313,x11314))
% 199.29/199.25 [1132]~E(x11321,x11322)+E(f749(x11323,x11321,x11324),f749(x11323,x11322,x11324))
% 199.29/199.25 [1133]~E(x11331,x11332)+E(f749(x11333,x11334,x11331),f749(x11333,x11334,x11332))
% 199.29/199.25 [1134]~E(x11341,x11342)+E(f622(x11341,x11343,x11344,x11345,x11346),f622(x11342,x11343,x11344,x11345,x11346))
% 199.29/199.25 [1135]~E(x11351,x11352)+E(f622(x11353,x11351,x11354,x11355,x11356),f622(x11353,x11352,x11354,x11355,x11356))
% 199.29/199.25 [1136]~E(x11361,x11362)+E(f622(x11363,x11364,x11361,x11365,x11366),f622(x11363,x11364,x11362,x11365,x11366))
% 199.29/199.25 [1137]~E(x11371,x11372)+E(f622(x11373,x11374,x11375,x11371,x11376),f622(x11373,x11374,x11375,x11372,x11376))
% 199.29/199.25 [1138]~E(x11381,x11382)+E(f622(x11383,x11384,x11385,x11386,x11381),f622(x11383,x11384,x11385,x11386,x11382))
% 199.29/199.25 [1139]~E(x11391,x11392)+E(f336(x11391,x11393,x11394),f336(x11392,x11393,x11394))
% 199.29/199.25 [1140]~E(x11401,x11402)+E(f336(x11403,x11401,x11404),f336(x11403,x11402,x11404))
% 199.29/199.25 [1141]~E(x11411,x11412)+E(f336(x11413,x11414,x11411),f336(x11413,x11414,x11412))
% 199.29/199.25 [1142]~E(x11421,x11422)+E(f122(x11421,x11423),f122(x11422,x11423))
% 199.29/199.25 [1143]~E(x11431,x11432)+E(f122(x11433,x11431),f122(x11433,x11432))
% 199.29/199.25 [1144]~E(x11441,x11442)+E(f712(x11441,x11443),f712(x11442,x11443))
% 199.29/199.25 [1145]~E(x11451,x11452)+E(f712(x11453,x11451),f712(x11453,x11452))
% 199.29/199.25 [1146]~E(x11461,x11462)+E(f359(x11461,x11463),f359(x11462,x11463))
% 199.29/199.25 [1147]~E(x11471,x11472)+E(f359(x11473,x11471),f359(x11473,x11472))
% 199.29/199.25 [1148]~E(x11481,x11482)+E(f387(x11481,x11483),f387(x11482,x11483))
% 199.29/199.25 [1149]~E(x11491,x11492)+E(f387(x11493,x11491),f387(x11493,x11492))
% 199.29/199.25 [1150]~E(x11501,x11502)+E(f880(x11501,x11503,x11504,x11505,x11506,x11507,x11508),f880(x11502,x11503,x11504,x11505,x11506,x11507,x11508))
% 199.29/199.25 [1151]~E(x11511,x11512)+E(f880(x11513,x11511,x11514,x11515,x11516,x11517,x11518),f880(x11513,x11512,x11514,x11515,x11516,x11517,x11518))
% 199.29/199.25 [1152]~E(x11521,x11522)+E(f880(x11523,x11524,x11521,x11525,x11526,x11527,x11528),f880(x11523,x11524,x11522,x11525,x11526,x11527,x11528))
% 199.29/199.25 [1153]~E(x11531,x11532)+E(f880(x11533,x11534,x11535,x11531,x11536,x11537,x11538),f880(x11533,x11534,x11535,x11532,x11536,x11537,x11538))
% 199.29/199.25 [1154]~E(x11541,x11542)+E(f880(x11543,x11544,x11545,x11546,x11541,x11547,x11548),f880(x11543,x11544,x11545,x11546,x11542,x11547,x11548))
% 199.29/199.25 [1155]~E(x11551,x11552)+E(f880(x11553,x11554,x11555,x11556,x11557,x11551,x11558),f880(x11553,x11554,x11555,x11556,x11557,x11552,x11558))
% 199.29/199.25 [1156]~E(x11561,x11562)+E(f880(x11563,x11564,x11565,x11566,x11567,x11568,x11561),f880(x11563,x11564,x11565,x11566,x11567,x11568,x11562))
% 199.29/199.25 [1157]~E(x11571,x11572)+E(f879(x11571,x11573,x11574,x11575,x11576),f879(x11572,x11573,x11574,x11575,x11576))
% 199.29/199.25 [1158]~E(x11581,x11582)+E(f879(x11583,x11581,x11584,x11585,x11586),f879(x11583,x11582,x11584,x11585,x11586))
% 199.29/199.25 [1159]~E(x11591,x11592)+E(f879(x11593,x11594,x11591,x11595,x11596),f879(x11593,x11594,x11592,x11595,x11596))
% 199.29/199.25 [1160]~E(x11601,x11602)+E(f879(x11603,x11604,x11605,x11601,x11606),f879(x11603,x11604,x11605,x11602,x11606))
% 199.29/199.25 [1161]~E(x11611,x11612)+E(f879(x11613,x11614,x11615,x11616,x11611),f879(x11613,x11614,x11615,x11616,x11612))
% 199.29/199.25 [1162]~E(x11621,x11622)+E(f261(x11621,x11623,x11624,x11625),f261(x11622,x11623,x11624,x11625))
% 199.29/199.25 [1163]~E(x11631,x11632)+E(f261(x11633,x11631,x11634,x11635),f261(x11633,x11632,x11634,x11635))
% 199.29/199.25 [1164]~E(x11641,x11642)+E(f261(x11643,x11644,x11641,x11645),f261(x11643,x11644,x11642,x11645))
% 199.29/199.25 [1165]~E(x11651,x11652)+E(f261(x11653,x11654,x11655,x11651),f261(x11653,x11654,x11655,x11652))
% 199.29/199.25 [1166]~E(x11661,x11662)+E(f640(x11661,x11663,x11664),f640(x11662,x11663,x11664))
% 199.29/199.25 [1167]~E(x11671,x11672)+E(f640(x11673,x11671,x11674),f640(x11673,x11672,x11674))
% 199.29/199.25 [1168]~E(x11681,x11682)+E(f640(x11683,x11684,x11681),f640(x11683,x11684,x11682))
% 199.29/199.25 [1169]~E(x11691,x11692)+E(f581(x11691,x11693,x11694,x11695,x11696,x11697,x11698,x11699),f581(x11692,x11693,x11694,x11695,x11696,x11697,x11698,x11699))
% 199.29/199.25 [1170]~E(x11701,x11702)+E(f581(x11703,x11701,x11704,x11705,x11706,x11707,x11708,x11709),f581(x11703,x11702,x11704,x11705,x11706,x11707,x11708,x11709))
% 199.29/199.25 [1171]~E(x11711,x11712)+E(f581(x11713,x11714,x11711,x11715,x11716,x11717,x11718,x11719),f581(x11713,x11714,x11712,x11715,x11716,x11717,x11718,x11719))
% 199.29/199.25 [1172]~E(x11721,x11722)+E(f581(x11723,x11724,x11725,x11721,x11726,x11727,x11728,x11729),f581(x11723,x11724,x11725,x11722,x11726,x11727,x11728,x11729))
% 199.29/199.25 [1173]~E(x11731,x11732)+E(f581(x11733,x11734,x11735,x11736,x11731,x11737,x11738,x11739),f581(x11733,x11734,x11735,x11736,x11732,x11737,x11738,x11739))
% 199.29/199.25 [1174]~E(x11741,x11742)+E(f581(x11743,x11744,x11745,x11746,x11747,x11741,x11748,x11749),f581(x11743,x11744,x11745,x11746,x11747,x11742,x11748,x11749))
% 199.29/199.25 [1175]~E(x11751,x11752)+E(f581(x11753,x11754,x11755,x11756,x11757,x11758,x11751,x11759),f581(x11753,x11754,x11755,x11756,x11757,x11758,x11752,x11759))
% 199.29/199.25 [1176]~E(x11761,x11762)+E(f581(x11763,x11764,x11765,x11766,x11767,x11768,x11769,x11761),f581(x11763,x11764,x11765,x11766,x11767,x11768,x11769,x11762))
% 199.29/199.25 [1177]~E(x11771,x11772)+E(f675(x11771,x11773,x11774),f675(x11772,x11773,x11774))
% 199.29/199.25 [1178]~E(x11781,x11782)+E(f675(x11783,x11781,x11784),f675(x11783,x11782,x11784))
% 199.29/199.25 [1179]~E(x11791,x11792)+E(f675(x11793,x11794,x11791),f675(x11793,x11794,x11792))
% 199.29/199.25 [1180]~E(x11801,x11802)+E(f892(x11801,x11803,x11804),f892(x11802,x11803,x11804))
% 199.29/199.25 [1181]~E(x11811,x11812)+E(f892(x11813,x11811,x11814),f892(x11813,x11812,x11814))
% 199.29/199.25 [1182]~E(x11821,x11822)+E(f892(x11823,x11824,x11821),f892(x11823,x11824,x11822))
% 199.29/199.25 [1183]~E(x11831,x11832)+E(f461(x11831,x11833,x11834),f461(x11832,x11833,x11834))
% 199.29/199.25 [1184]~E(x11841,x11842)+E(f461(x11843,x11841,x11844),f461(x11843,x11842,x11844))
% 199.29/199.25 [1185]~E(x11851,x11852)+E(f461(x11853,x11854,x11851),f461(x11853,x11854,x11852))
% 199.29/199.25 [1186]~E(x11861,x11862)+E(f471(x11861,x11863,x11864,x11865),f471(x11862,x11863,x11864,x11865))
% 199.29/199.25 [1187]~E(x11871,x11872)+E(f471(x11873,x11871,x11874,x11875),f471(x11873,x11872,x11874,x11875))
% 199.29/199.25 [1188]~E(x11881,x11882)+E(f471(x11883,x11884,x11881,x11885),f471(x11883,x11884,x11882,x11885))
% 199.29/199.25 [1189]~E(x11891,x11892)+E(f471(x11893,x11894,x11895,x11891),f471(x11893,x11894,x11895,x11892))
% 199.29/199.25 [1190]~E(x11901,x11902)+E(f190(x11901,x11903),f190(x11902,x11903))
% 199.29/199.25 [1191]~E(x11911,x11912)+E(f190(x11913,x11911),f190(x11913,x11912))
% 199.29/199.25 [1192]~E(x11921,x11922)+E(f751(x11921,x11923,x11924,x11925),f751(x11922,x11923,x11924,x11925))
% 199.29/199.25 [1193]~E(x11931,x11932)+E(f751(x11933,x11931,x11934,x11935),f751(x11933,x11932,x11934,x11935))
% 199.29/199.25 [1194]~E(x11941,x11942)+E(f751(x11943,x11944,x11941,x11945),f751(x11943,x11944,x11942,x11945))
% 199.29/199.25 [1195]~E(x11951,x11952)+E(f751(x11953,x11954,x11955,x11951),f751(x11953,x11954,x11955,x11952))
% 199.29/199.25 [1196]~E(x11961,x11962)+E(f797(x11961,x11963,x11964,x11965,x11966,x11967),f797(x11962,x11963,x11964,x11965,x11966,x11967))
% 199.29/199.25 [1197]~E(x11971,x11972)+E(f797(x11973,x11971,x11974,x11975,x11976,x11977),f797(x11973,x11972,x11974,x11975,x11976,x11977))
% 199.29/199.25 [1198]~E(x11981,x11982)+E(f797(x11983,x11984,x11981,x11985,x11986,x11987),f797(x11983,x11984,x11982,x11985,x11986,x11987))
% 199.29/199.25 [1199]~E(x11991,x11992)+E(f797(x11993,x11994,x11995,x11991,x11996,x11997),f797(x11993,x11994,x11995,x11992,x11996,x11997))
% 199.29/199.25 [1200]~E(x12001,x12002)+E(f797(x12003,x12004,x12005,x12006,x12001,x12007),f797(x12003,x12004,x12005,x12006,x12002,x12007))
% 199.29/199.25 [1201]~E(x12011,x12012)+E(f797(x12013,x12014,x12015,x12016,x12017,x12011),f797(x12013,x12014,x12015,x12016,x12017,x12012))
% 199.29/199.25 [1202]~E(x12021,x12022)+E(f627(x12021,x12023,x12024,x12025,x12026,x12027),f627(x12022,x12023,x12024,x12025,x12026,x12027))
% 199.29/199.25 [1203]~E(x12031,x12032)+E(f627(x12033,x12031,x12034,x12035,x12036,x12037),f627(x12033,x12032,x12034,x12035,x12036,x12037))
% 199.29/199.25 [1204]~E(x12041,x12042)+E(f627(x12043,x12044,x12041,x12045,x12046,x12047),f627(x12043,x12044,x12042,x12045,x12046,x12047))
% 199.29/199.25 [1205]~E(x12051,x12052)+E(f627(x12053,x12054,x12055,x12051,x12056,x12057),f627(x12053,x12054,x12055,x12052,x12056,x12057))
% 199.29/199.25 [1206]~E(x12061,x12062)+E(f627(x12063,x12064,x12065,x12066,x12061,x12067),f627(x12063,x12064,x12065,x12066,x12062,x12067))
% 199.29/199.25 [1207]~E(x12071,x12072)+E(f627(x12073,x12074,x12075,x12076,x12077,x12071),f627(x12073,x12074,x12075,x12076,x12077,x12072))
% 199.29/199.25 [1208]~E(x12081,x12082)+E(f713(x12081,x12083),f713(x12082,x12083))
% 199.29/199.25 [1209]~E(x12091,x12092)+E(f713(x12093,x12091),f713(x12093,x12092))
% 199.29/199.25 [1210]~E(x12101,x12102)+E(f223(x12101,x12103),f223(x12102,x12103))
% 199.29/199.25 [1211]~E(x12111,x12112)+E(f223(x12113,x12111),f223(x12113,x12112))
% 199.29/199.25 [1212]~E(x12121,x12122)+E(f324(x12121,x12123,x12124),f324(x12122,x12123,x12124))
% 199.29/199.25 [1213]~E(x12131,x12132)+E(f324(x12133,x12131,x12134),f324(x12133,x12132,x12134))
% 199.29/199.25 [1214]~E(x12141,x12142)+E(f324(x12143,x12144,x12141),f324(x12143,x12144,x12142))
% 199.29/199.25 [1215]~E(x12151,x12152)+E(f512(x12151),f512(x12152))
% 199.29/199.25 [1216]~E(x12161,x12162)+E(f747(x12161,x12163),f747(x12162,x12163))
% 199.29/199.25 [1217]~E(x12171,x12172)+E(f747(x12173,x12171),f747(x12173,x12172))
% 199.29/199.25 [1218]~E(x12181,x12182)+E(f378(x12181,x12183,x12184,x12185,x12186),f378(x12182,x12183,x12184,x12185,x12186))
% 199.29/199.25 [1219]~E(x12191,x12192)+E(f378(x12193,x12191,x12194,x12195,x12196),f378(x12193,x12192,x12194,x12195,x12196))
% 199.29/199.25 [1220]~E(x12201,x12202)+E(f378(x12203,x12204,x12201,x12205,x12206),f378(x12203,x12204,x12202,x12205,x12206))
% 199.29/199.25 [1221]~E(x12211,x12212)+E(f378(x12213,x12214,x12215,x12211,x12216),f378(x12213,x12214,x12215,x12212,x12216))
% 199.29/199.25 [1222]~E(x12221,x12222)+E(f378(x12223,x12224,x12225,x12226,x12221),f378(x12223,x12224,x12225,x12226,x12222))
% 199.29/199.25 [1223]~E(x12231,x12232)+E(f71(x12231,x12233,x12234,x12235),f71(x12232,x12233,x12234,x12235))
% 199.29/199.25 [1224]~E(x12241,x12242)+E(f71(x12243,x12241,x12244,x12245),f71(x12243,x12242,x12244,x12245))
% 199.29/199.25 [1225]~E(x12251,x12252)+E(f71(x12253,x12254,x12251,x12255),f71(x12253,x12254,x12252,x12255))
% 199.29/199.25 [1226]~E(x12261,x12262)+E(f71(x12263,x12264,x12265,x12261),f71(x12263,x12264,x12265,x12262))
% 199.29/199.25 [1227]~E(x12271,x12272)+E(f452(x12271,x12273,x12274),f452(x12272,x12273,x12274))
% 199.29/199.25 [1228]~E(x12281,x12282)+E(f452(x12283,x12281,x12284),f452(x12283,x12282,x12284))
% 199.29/199.25 [1229]~E(x12291,x12292)+E(f452(x12293,x12294,x12291),f452(x12293,x12294,x12292))
% 199.29/199.25 [1230]~E(x12301,x12302)+E(f574(x12301,x12303,x12304),f574(x12302,x12303,x12304))
% 199.29/199.25 [1231]~E(x12311,x12312)+E(f574(x12313,x12311,x12314),f574(x12313,x12312,x12314))
% 199.29/199.25 [1232]~E(x12321,x12322)+E(f574(x12323,x12324,x12321),f574(x12323,x12324,x12322))
% 199.29/199.25 [1233]~E(x12331,x12332)+E(f701(x12331,x12333,x12334),f701(x12332,x12333,x12334))
% 199.29/199.25 [1234]~E(x12341,x12342)+E(f701(x12343,x12341,x12344),f701(x12343,x12342,x12344))
% 199.29/199.25 [1235]~E(x12351,x12352)+E(f701(x12353,x12354,x12351),f701(x12353,x12354,x12352))
% 199.29/199.25 [1236]~E(x12361,x12362)+E(f537(x12361,x12363,x12364,x12365),f537(x12362,x12363,x12364,x12365))
% 199.29/199.25 [1237]~E(x12371,x12372)+E(f537(x12373,x12371,x12374,x12375),f537(x12373,x12372,x12374,x12375))
% 199.29/199.25 [1238]~E(x12381,x12382)+E(f537(x12383,x12384,x12381,x12385),f537(x12383,x12384,x12382,x12385))
% 199.29/199.25 [1239]~E(x12391,x12392)+E(f537(x12393,x12394,x12395,x12391),f537(x12393,x12394,x12395,x12392))
% 199.29/199.25 [1240]~E(x12401,x12402)+E(f401(x12401,x12403,x12404,x12405),f401(x12402,x12403,x12404,x12405))
% 199.29/199.25 [1241]~E(x12411,x12412)+E(f401(x12413,x12411,x12414,x12415),f401(x12413,x12412,x12414,x12415))
% 199.29/199.25 [1242]~E(x12421,x12422)+E(f401(x12423,x12424,x12421,x12425),f401(x12423,x12424,x12422,x12425))
% 199.29/199.25 [1243]~E(x12431,x12432)+E(f401(x12433,x12434,x12435,x12431),f401(x12433,x12434,x12435,x12432))
% 199.29/199.25 [1244]~E(x12441,x12442)+E(f163(x12441,x12443,x12444),f163(x12442,x12443,x12444))
% 199.29/199.25 [1245]~E(x12451,x12452)+E(f163(x12453,x12451,x12454),f163(x12453,x12452,x12454))
% 199.29/199.25 [1246]~E(x12461,x12462)+E(f163(x12463,x12464,x12461),f163(x12463,x12464,x12462))
% 199.29/199.25 [1247]~E(x12471,x12472)+E(f779(x12471,x12473,x12474,x12475),f779(x12472,x12473,x12474,x12475))
% 199.29/199.25 [1248]~E(x12481,x12482)+E(f779(x12483,x12481,x12484,x12485),f779(x12483,x12482,x12484,x12485))
% 199.29/199.25 [1249]~E(x12491,x12492)+E(f779(x12493,x12494,x12491,x12495),f779(x12493,x12494,x12492,x12495))
% 199.29/199.25 [1250]~E(x12501,x12502)+E(f779(x12503,x12504,x12505,x12501),f779(x12503,x12504,x12505,x12502))
% 199.29/199.25 [1251]~E(x12511,x12512)+E(f251(x12511,x12513,x12514,x12515,x12516),f251(x12512,x12513,x12514,x12515,x12516))
% 199.29/199.25 [1252]~E(x12521,x12522)+E(f251(x12523,x12521,x12524,x12525,x12526),f251(x12523,x12522,x12524,x12525,x12526))
% 199.29/199.25 [1253]~E(x12531,x12532)+E(f251(x12533,x12534,x12531,x12535,x12536),f251(x12533,x12534,x12532,x12535,x12536))
% 199.29/199.25 [1254]~E(x12541,x12542)+E(f251(x12543,x12544,x12545,x12541,x12546),f251(x12543,x12544,x12545,x12542,x12546))
% 199.29/199.25 [1255]~E(x12551,x12552)+E(f251(x12553,x12554,x12555,x12556,x12551),f251(x12553,x12554,x12555,x12556,x12552))
% 199.29/199.25 [1256]~E(x12561,x12562)+E(f874(x12561,x12563,x12564),f874(x12562,x12563,x12564))
% 199.29/199.25 [1257]~E(x12571,x12572)+E(f874(x12573,x12571,x12574),f874(x12573,x12572,x12574))
% 199.29/199.25 [1258]~E(x12581,x12582)+E(f874(x12583,x12584,x12581),f874(x12583,x12584,x12582))
% 199.29/199.25 [1259]~E(x12591,x12592)+E(f864(x12591,x12593,x12594,x12595),f864(x12592,x12593,x12594,x12595))
% 199.29/199.25 [1260]~E(x12601,x12602)+E(f864(x12603,x12601,x12604,x12605),f864(x12603,x12602,x12604,x12605))
% 199.29/199.25 [1261]~E(x12611,x12612)+E(f864(x12613,x12614,x12611,x12615),f864(x12613,x12614,x12612,x12615))
% 199.29/199.25 [1262]~E(x12621,x12622)+E(f864(x12623,x12624,x12625,x12621),f864(x12623,x12624,x12625,x12622))
% 199.29/199.25 [1263]~E(x12631,x12632)+E(f817(x12631,x12633,x12634),f817(x12632,x12633,x12634))
% 199.29/199.25 [1264]~E(x12641,x12642)+E(f817(x12643,x12641,x12644),f817(x12643,x12642,x12644))
% 199.29/199.25 [1265]~E(x12651,x12652)+E(f817(x12653,x12654,x12651),f817(x12653,x12654,x12652))
% 199.29/199.25 [1266]~E(x12661,x12662)+E(f264(x12661,x12663,x12664),f264(x12662,x12663,x12664))
% 199.29/199.25 [1267]~E(x12671,x12672)+E(f264(x12673,x12671,x12674),f264(x12673,x12672,x12674))
% 199.29/199.25 [1268]~E(x12681,x12682)+E(f264(x12683,x12684,x12681),f264(x12683,x12684,x12682))
% 199.29/199.25 [1269]~E(x12691,x12692)+E(f631(x12691,x12693,x12694),f631(x12692,x12693,x12694))
% 199.29/199.25 [1270]~E(x12701,x12702)+E(f631(x12703,x12701,x12704),f631(x12703,x12702,x12704))
% 199.29/199.25 [1271]~E(x12711,x12712)+E(f631(x12713,x12714,x12711),f631(x12713,x12714,x12712))
% 199.29/199.25 [1272]~E(x12721,x12722)+E(f607(x12721,x12723,x12724,x12725,x12726),f607(x12722,x12723,x12724,x12725,x12726))
% 199.29/199.25 [1273]~E(x12731,x12732)+E(f607(x12733,x12731,x12734,x12735,x12736),f607(x12733,x12732,x12734,x12735,x12736))
% 199.29/199.25 [1274]~E(x12741,x12742)+E(f607(x12743,x12744,x12741,x12745,x12746),f607(x12743,x12744,x12742,x12745,x12746))
% 199.29/199.25 [1275]~E(x12751,x12752)+E(f607(x12753,x12754,x12755,x12751,x12756),f607(x12753,x12754,x12755,x12752,x12756))
% 199.29/199.25 [1276]~E(x12761,x12762)+E(f607(x12763,x12764,x12765,x12766,x12761),f607(x12763,x12764,x12765,x12766,x12762))
% 199.29/199.25 [1277]~E(x12771,x12772)+E(f125(x12771),f125(x12772))
% 199.29/199.25 [1278]~E(x12781,x12782)+E(f592(x12781,x12783,x12784,x12785,x12786),f592(x12782,x12783,x12784,x12785,x12786))
% 199.29/199.25 [1279]~E(x12791,x12792)+E(f592(x12793,x12791,x12794,x12795,x12796),f592(x12793,x12792,x12794,x12795,x12796))
% 199.29/199.25 [1280]~E(x12801,x12802)+E(f592(x12803,x12804,x12801,x12805,x12806),f592(x12803,x12804,x12802,x12805,x12806))
% 199.29/199.25 [1281]~E(x12811,x12812)+E(f592(x12813,x12814,x12815,x12811,x12816),f592(x12813,x12814,x12815,x12812,x12816))
% 199.29/199.25 [1282]~E(x12821,x12822)+E(f592(x12823,x12824,x12825,x12826,x12821),f592(x12823,x12824,x12825,x12826,x12822))
% 199.29/199.25 [1283]~E(x12831,x12832)+E(f507(x12831,x12833,x12834,x12835),f507(x12832,x12833,x12834,x12835))
% 199.29/199.25 [1284]~E(x12841,x12842)+E(f507(x12843,x12841,x12844,x12845),f507(x12843,x12842,x12844,x12845))
% 199.29/199.25 [1285]~E(x12851,x12852)+E(f507(x12853,x12854,x12851,x12855),f507(x12853,x12854,x12852,x12855))
% 199.29/199.25 [1286]~E(x12861,x12862)+E(f507(x12863,x12864,x12865,x12861),f507(x12863,x12864,x12865,x12862))
% 199.29/199.25 [1287]~E(x12871,x12872)+E(f460(x12871,x12873,x12874),f460(x12872,x12873,x12874))
% 199.29/199.25 [1288]~E(x12881,x12882)+E(f460(x12883,x12881,x12884),f460(x12883,x12882,x12884))
% 199.29/199.25 [1289]~E(x12891,x12892)+E(f460(x12893,x12894,x12891),f460(x12893,x12894,x12892))
% 199.29/199.25 [1290]~E(x12901,x12902)+E(f614(x12901,x12903,x12904,x12905),f614(x12902,x12903,x12904,x12905))
% 199.29/199.25 [1291]~E(x12911,x12912)+E(f614(x12913,x12911,x12914,x12915),f614(x12913,x12912,x12914,x12915))
% 199.29/199.25 [1292]~E(x12921,x12922)+E(f614(x12923,x12924,x12921,x12925),f614(x12923,x12924,x12922,x12925))
% 199.29/199.25 [1293]~E(x12931,x12932)+E(f614(x12933,x12934,x12935,x12931),f614(x12933,x12934,x12935,x12932))
% 199.29/199.25 [1294]~E(x12941,x12942)+E(f500(x12941,x12943,x12944,x12945),f500(x12942,x12943,x12944,x12945))
% 199.29/199.25 [1295]~E(x12951,x12952)+E(f500(x12953,x12951,x12954,x12955),f500(x12953,x12952,x12954,x12955))
% 199.29/199.25 [1296]~E(x12961,x12962)+E(f500(x12963,x12964,x12961,x12965),f500(x12963,x12964,x12962,x12965))
% 199.29/199.25 [1297]~E(x12971,x12972)+E(f500(x12973,x12974,x12975,x12971),f500(x12973,x12974,x12975,x12972))
% 199.29/199.25 [1298]~E(x12981,x12982)+E(f360(x12981,x12983,x12984),f360(x12982,x12983,x12984))
% 199.29/199.25 [1299]~E(x12991,x12992)+E(f360(x12993,x12991,x12994),f360(x12993,x12992,x12994))
% 199.29/199.25 [1300]~E(x13001,x13002)+E(f360(x13003,x13004,x13001),f360(x13003,x13004,x13002))
% 199.29/199.25 [1301]~E(x13011,x13012)+E(f634(x13011,x13013,x13014,x13015,x13016),f634(x13012,x13013,x13014,x13015,x13016))
% 199.29/199.25 [1302]~E(x13021,x13022)+E(f634(x13023,x13021,x13024,x13025,x13026),f634(x13023,x13022,x13024,x13025,x13026))
% 199.29/199.25 [1303]~E(x13031,x13032)+E(f634(x13033,x13034,x13031,x13035,x13036),f634(x13033,x13034,x13032,x13035,x13036))
% 199.29/199.25 [1304]~E(x13041,x13042)+E(f634(x13043,x13044,x13045,x13041,x13046),f634(x13043,x13044,x13045,x13042,x13046))
% 199.29/199.25 [1305]~E(x13051,x13052)+E(f634(x13053,x13054,x13055,x13056,x13051),f634(x13053,x13054,x13055,x13056,x13052))
% 199.29/199.25 [1306]~E(x13061,x13062)+E(f703(x13061,x13063),f703(x13062,x13063))
% 199.29/199.25 [1307]~E(x13071,x13072)+E(f703(x13073,x13071),f703(x13073,x13072))
% 199.29/199.25 [1308]~E(x13081,x13082)+E(f403(x13081,x13083,x13084),f403(x13082,x13083,x13084))
% 199.29/199.25 [1309]~E(x13091,x13092)+E(f403(x13093,x13091,x13094),f403(x13093,x13092,x13094))
% 199.29/199.25 [1310]~E(x13101,x13102)+E(f403(x13103,x13104,x13101),f403(x13103,x13104,x13102))
% 199.29/199.25 [1311]~E(x13111,x13112)+E(f499(x13111,x13113,x13114,x13115,x13116,x13117,x13118),f499(x13112,x13113,x13114,x13115,x13116,x13117,x13118))
% 199.29/199.25 [1312]~E(x13121,x13122)+E(f499(x13123,x13121,x13124,x13125,x13126,x13127,x13128),f499(x13123,x13122,x13124,x13125,x13126,x13127,x13128))
% 199.29/199.25 [1313]~E(x13131,x13132)+E(f499(x13133,x13134,x13131,x13135,x13136,x13137,x13138),f499(x13133,x13134,x13132,x13135,x13136,x13137,x13138))
% 199.29/199.25 [1314]~E(x13141,x13142)+E(f499(x13143,x13144,x13145,x13141,x13146,x13147,x13148),f499(x13143,x13144,x13145,x13142,x13146,x13147,x13148))
% 199.29/199.25 [1315]~E(x13151,x13152)+E(f499(x13153,x13154,x13155,x13156,x13151,x13157,x13158),f499(x13153,x13154,x13155,x13156,x13152,x13157,x13158))
% 199.29/199.25 [1316]~E(x13161,x13162)+E(f499(x13163,x13164,x13165,x13166,x13167,x13161,x13168),f499(x13163,x13164,x13165,x13166,x13167,x13162,x13168))
% 199.29/199.25 [1317]~E(x13171,x13172)+E(f499(x13173,x13174,x13175,x13176,x13177,x13178,x13171),f499(x13173,x13174,x13175,x13176,x13177,x13178,x13172))
% 199.29/199.25 [1318]~E(x13181,x13182)+E(f754(x13181,x13183,x13184),f754(x13182,x13183,x13184))
% 199.29/199.25 [1319]~E(x13191,x13192)+E(f754(x13193,x13191,x13194),f754(x13193,x13192,x13194))
% 199.29/199.25 [1320]~E(x13201,x13202)+E(f754(x13203,x13204,x13201),f754(x13203,x13204,x13202))
% 199.29/199.25 [1321]~E(x13211,x13212)+E(f811(x13211,x13213,x13214,x13215),f811(x13212,x13213,x13214,x13215))
% 199.29/199.25 [1322]~E(x13221,x13222)+E(f811(x13223,x13221,x13224,x13225),f811(x13223,x13222,x13224,x13225))
% 199.29/199.25 [1323]~E(x13231,x13232)+E(f811(x13233,x13234,x13231,x13235),f811(x13233,x13234,x13232,x13235))
% 199.29/199.25 [1324]~E(x13241,x13242)+E(f811(x13243,x13244,x13245,x13241),f811(x13243,x13244,x13245,x13242))
% 199.29/199.25 [1325]~E(x13251,x13252)+E(f516(x13251,x13253,x13254,x13255,x13256),f516(x13252,x13253,x13254,x13255,x13256))
% 199.29/199.25 [1326]~E(x13261,x13262)+E(f516(x13263,x13261,x13264,x13265,x13266),f516(x13263,x13262,x13264,x13265,x13266))
% 199.29/199.25 [1327]~E(x13271,x13272)+E(f516(x13273,x13274,x13271,x13275,x13276),f516(x13273,x13274,x13272,x13275,x13276))
% 199.29/199.25 [1328]~E(x13281,x13282)+E(f516(x13283,x13284,x13285,x13281,x13286),f516(x13283,x13284,x13285,x13282,x13286))
% 199.29/199.25 [1329]~E(x13291,x13292)+E(f516(x13293,x13294,x13295,x13296,x13291),f516(x13293,x13294,x13295,x13296,x13292))
% 199.29/199.25 [1330]~E(x13301,x13302)+E(f559(x13301,x13303,x13304),f559(x13302,x13303,x13304))
% 199.29/199.25 [1331]~E(x13311,x13312)+E(f559(x13313,x13311,x13314),f559(x13313,x13312,x13314))
% 199.29/199.25 [1332]~E(x13321,x13322)+E(f559(x13323,x13324,x13321),f559(x13323,x13324,x13322))
% 199.29/199.25 [1333]~E(x13331,x13332)+E(f688(x13331,x13333),f688(x13332,x13333))
% 199.29/199.25 [1334]~E(x13341,x13342)+E(f688(x13343,x13341),f688(x13343,x13342))
% 199.29/199.25 [1335]~E(x13351,x13352)+E(f719(x13351,x13353),f719(x13352,x13353))
% 199.29/199.25 [1336]~E(x13361,x13362)+E(f719(x13363,x13361),f719(x13363,x13362))
% 199.29/199.25 [1337]~E(x13371,x13372)+E(f363(x13371,x13373,x13374),f363(x13372,x13373,x13374))
% 199.29/199.25 [1338]~E(x13381,x13382)+E(f363(x13383,x13381,x13384),f363(x13383,x13382,x13384))
% 199.29/199.25 [1339]~E(x13391,x13392)+E(f363(x13393,x13394,x13391),f363(x13393,x13394,x13392))
% 199.29/199.25 [1340]~E(x13401,x13402)+E(f834(x13401,x13403,x13404,x13405,x13406,x13407),f834(x13402,x13403,x13404,x13405,x13406,x13407))
% 199.29/199.25 [1341]~E(x13411,x13412)+E(f834(x13413,x13411,x13414,x13415,x13416,x13417),f834(x13413,x13412,x13414,x13415,x13416,x13417))
% 199.29/199.25 [1342]~E(x13421,x13422)+E(f834(x13423,x13424,x13421,x13425,x13426,x13427),f834(x13423,x13424,x13422,x13425,x13426,x13427))
% 199.29/199.25 [1343]~E(x13431,x13432)+E(f834(x13433,x13434,x13435,x13431,x13436,x13437),f834(x13433,x13434,x13435,x13432,x13436,x13437))
% 199.29/199.25 [1344]~E(x13441,x13442)+E(f834(x13443,x13444,x13445,x13446,x13441,x13447),f834(x13443,x13444,x13445,x13446,x13442,x13447))
% 199.29/199.25 [1345]~E(x13451,x13452)+E(f834(x13453,x13454,x13455,x13456,x13457,x13451),f834(x13453,x13454,x13455,x13456,x13457,x13452))
% 199.29/199.25 [1346]~E(x13461,x13462)+E(f720(x13461,x13463,x13464),f720(x13462,x13463,x13464))
% 199.29/199.25 [1347]~E(x13471,x13472)+E(f720(x13473,x13471,x13474),f720(x13473,x13472,x13474))
% 199.29/199.25 [1348]~E(x13481,x13482)+E(f720(x13483,x13484,x13481),f720(x13483,x13484,x13482))
% 199.29/199.25 [1349]~E(x13491,x13492)+E(f218(x13491,x13493),f218(x13492,x13493))
% 199.29/199.25 [1350]~E(x13501,x13502)+E(f218(x13503,x13501),f218(x13503,x13502))
% 199.29/199.25 [1351]~E(x13511,x13512)+E(f860(x13511,x13513,x13514,x13515,x13516),f860(x13512,x13513,x13514,x13515,x13516))
% 199.29/199.25 [1352]~E(x13521,x13522)+E(f860(x13523,x13521,x13524,x13525,x13526),f860(x13523,x13522,x13524,x13525,x13526))
% 199.29/199.25 [1353]~E(x13531,x13532)+E(f860(x13533,x13534,x13531,x13535,x13536),f860(x13533,x13534,x13532,x13535,x13536))
% 199.29/199.25 [1354]~E(x13541,x13542)+E(f860(x13543,x13544,x13545,x13541,x13546),f860(x13543,x13544,x13545,x13542,x13546))
% 199.29/199.25 [1355]~E(x13551,x13552)+E(f860(x13553,x13554,x13555,x13556,x13551),f860(x13553,x13554,x13555,x13556,x13552))
% 199.29/199.25 [1356]~E(x13561,x13562)+E(f480(x13561,x13563,x13564,x13565,x13566),f480(x13562,x13563,x13564,x13565,x13566))
% 199.29/199.25 [1357]~E(x13571,x13572)+E(f480(x13573,x13571,x13574,x13575,x13576),f480(x13573,x13572,x13574,x13575,x13576))
% 199.29/199.25 [1358]~E(x13581,x13582)+E(f480(x13583,x13584,x13581,x13585,x13586),f480(x13583,x13584,x13582,x13585,x13586))
% 199.29/199.25 [1359]~E(x13591,x13592)+E(f480(x13593,x13594,x13595,x13591,x13596),f480(x13593,x13594,x13595,x13592,x13596))
% 199.29/199.25 [1360]~E(x13601,x13602)+E(f480(x13603,x13604,x13605,x13606,x13601),f480(x13603,x13604,x13605,x13606,x13602))
% 199.29/199.25 [1361]~E(x13611,x13612)+E(f784(x13611,x13613),f784(x13612,x13613))
% 199.29/199.25 [1362]~E(x13621,x13622)+E(f784(x13623,x13621),f784(x13623,x13622))
% 199.29/199.25 [1363]~E(x13631,x13632)+E(f618(x13631,x13633,x13634,x13635,x13636),f618(x13632,x13633,x13634,x13635,x13636))
% 199.29/199.25 [1364]~E(x13641,x13642)+E(f618(x13643,x13641,x13644,x13645,x13646),f618(x13643,x13642,x13644,x13645,x13646))
% 199.29/199.25 [1365]~E(x13651,x13652)+E(f618(x13653,x13654,x13651,x13655,x13656),f618(x13653,x13654,x13652,x13655,x13656))
% 199.29/199.25 [1366]~E(x13661,x13662)+E(f618(x13663,x13664,x13665,x13661,x13666),f618(x13663,x13664,x13665,x13662,x13666))
% 199.29/199.25 [1367]~E(x13671,x13672)+E(f618(x13673,x13674,x13675,x13676,x13671),f618(x13673,x13674,x13675,x13676,x13672))
% 199.29/199.25 [1368]~E(x13681,x13682)+E(f116(x13681,x13683,x13684),f116(x13682,x13683,x13684))
% 199.29/199.25 [1369]~E(x13691,x13692)+E(f116(x13693,x13691,x13694),f116(x13693,x13692,x13694))
% 199.29/199.25 [1370]~E(x13701,x13702)+E(f116(x13703,x13704,x13701),f116(x13703,x13704,x13702))
% 199.29/199.25 [1371]~E(x13711,x13712)+E(f767(x13711,x13713,x13714,x13715,x13716,x13717,x13718),f767(x13712,x13713,x13714,x13715,x13716,x13717,x13718))
% 199.29/199.25 [1372]~E(x13721,x13722)+E(f767(x13723,x13721,x13724,x13725,x13726,x13727,x13728),f767(x13723,x13722,x13724,x13725,x13726,x13727,x13728))
% 199.29/199.25 [1373]~E(x13731,x13732)+E(f767(x13733,x13734,x13731,x13735,x13736,x13737,x13738),f767(x13733,x13734,x13732,x13735,x13736,x13737,x13738))
% 199.29/199.25 [1374]~E(x13741,x13742)+E(f767(x13743,x13744,x13745,x13741,x13746,x13747,x13748),f767(x13743,x13744,x13745,x13742,x13746,x13747,x13748))
% 199.29/199.25 [1375]~E(x13751,x13752)+E(f767(x13753,x13754,x13755,x13756,x13751,x13757,x13758),f767(x13753,x13754,x13755,x13756,x13752,x13757,x13758))
% 199.29/199.25 [1376]~E(x13761,x13762)+E(f767(x13763,x13764,x13765,x13766,x13767,x13761,x13768),f767(x13763,x13764,x13765,x13766,x13767,x13762,x13768))
% 199.29/199.25 [1377]~E(x13771,x13772)+E(f767(x13773,x13774,x13775,x13776,x13777,x13778,x13771),f767(x13773,x13774,x13775,x13776,x13777,x13778,x13772))
% 199.29/199.25 [1378]~E(x13781,x13782)+E(f643(x13781,x13783,x13784),f643(x13782,x13783,x13784))
% 199.29/199.25 [1379]~E(x13791,x13792)+E(f643(x13793,x13791,x13794),f643(x13793,x13792,x13794))
% 199.29/199.25 [1380]~E(x13801,x13802)+E(f643(x13803,x13804,x13801),f643(x13803,x13804,x13802))
% 199.29/199.25 [1381]~E(x13811,x13812)+E(f721(x13811,x13813),f721(x13812,x13813))
% 199.29/199.25 [1382]~E(x13821,x13822)+E(f721(x13823,x13821),f721(x13823,x13822))
% 199.29/199.25 [1383]~E(x13831,x13832)+E(f591(x13831,x13833,x13834,x13835),f591(x13832,x13833,x13834,x13835))
% 199.29/199.25 [1384]~E(x13841,x13842)+E(f591(x13843,x13841,x13844,x13845),f591(x13843,x13842,x13844,x13845))
% 199.29/199.25 [1385]~E(x13851,x13852)+E(f591(x13853,x13854,x13851,x13855),f591(x13853,x13854,x13852,x13855))
% 199.29/199.25 [1386]~E(x13861,x13862)+E(f591(x13863,x13864,x13865,x13861),f591(x13863,x13864,x13865,x13862))
% 199.29/199.25 [1387]~E(x13871,x13872)+E(f464(x13871,x13873,x13874,x13875,x13876),f464(x13872,x13873,x13874,x13875,x13876))
% 199.29/199.25 [1388]~E(x13881,x13882)+E(f464(x13883,x13881,x13884,x13885,x13886),f464(x13883,x13882,x13884,x13885,x13886))
% 199.29/199.25 [1389]~E(x13891,x13892)+E(f464(x13893,x13894,x13891,x13895,x13896),f464(x13893,x13894,x13892,x13895,x13896))
% 199.29/199.25 [1390]~E(x13901,x13902)+E(f464(x13903,x13904,x13905,x13901,x13906),f464(x13903,x13904,x13905,x13902,x13906))
% 199.29/199.25 [1391]~E(x13911,x13912)+E(f464(x13913,x13914,x13915,x13916,x13911),f464(x13913,x13914,x13915,x13916,x13912))
% 199.29/199.25 [1392]~E(x13921,x13922)+E(f858(x13921,x13923,x13924,x13925,x13926),f858(x13922,x13923,x13924,x13925,x13926))
% 199.29/199.25 [1393]~E(x13931,x13932)+E(f858(x13933,x13931,x13934,x13935,x13936),f858(x13933,x13932,x13934,x13935,x13936))
% 199.29/199.25 [1394]~E(x13941,x13942)+E(f858(x13943,x13944,x13941,x13945,x13946),f858(x13943,x13944,x13942,x13945,x13946))
% 199.29/199.25 [1395]~E(x13951,x13952)+E(f858(x13953,x13954,x13955,x13951,x13956),f858(x13953,x13954,x13955,x13952,x13956))
% 199.29/199.25 [1396]~E(x13961,x13962)+E(f858(x13963,x13964,x13965,x13966,x13961),f858(x13963,x13964,x13965,x13966,x13962))
% 199.29/199.25 [1397]~E(x13971,x13972)+E(f364(x13971,x13973,x13974,x13975),f364(x13972,x13973,x13974,x13975))
% 199.29/199.25 [1398]~E(x13981,x13982)+E(f364(x13983,x13981,x13984,x13985),f364(x13983,x13982,x13984,x13985))
% 199.29/199.25 [1399]~E(x13991,x13992)+E(f364(x13993,x13994,x13991,x13995),f364(x13993,x13994,x13992,x13995))
% 199.29/199.25 [1400]~E(x14001,x14002)+E(f364(x14003,x14004,x14005,x14001),f364(x14003,x14004,x14005,x14002))
% 199.29/199.25 [1401]~E(x14011,x14012)+E(f707(x14011,x14013),f707(x14012,x14013))
% 199.29/199.25 [1402]~E(x14021,x14022)+E(f707(x14023,x14021),f707(x14023,x14022))
% 199.29/199.25 [1403]~E(x14031,x14032)+E(f352(x14031,x14033,x14034,x14035,x14036),f352(x14032,x14033,x14034,x14035,x14036))
% 199.29/199.25 [1404]~E(x14041,x14042)+E(f352(x14043,x14041,x14044,x14045,x14046),f352(x14043,x14042,x14044,x14045,x14046))
% 199.29/199.25 [1405]~E(x14051,x14052)+E(f352(x14053,x14054,x14051,x14055,x14056),f352(x14053,x14054,x14052,x14055,x14056))
% 199.29/199.25 [1406]~E(x14061,x14062)+E(f352(x14063,x14064,x14065,x14061,x14066),f352(x14063,x14064,x14065,x14062,x14066))
% 199.29/199.25 [1407]~E(x14071,x14072)+E(f352(x14073,x14074,x14075,x14076,x14071),f352(x14073,x14074,x14075,x14076,x14072))
% 199.29/199.25 [1408]~E(x14081,x14082)+E(f423(x14081,x14083),f423(x14082,x14083))
% 199.29/199.25 [1409]~E(x14091,x14092)+E(f423(x14093,x14091),f423(x14093,x14092))
% 199.29/199.25 [1410]~E(x14101,x14102)+E(f660(x14101,x14103),f660(x14102,x14103))
% 199.29/199.25 [1411]~E(x14111,x14112)+E(f660(x14113,x14111),f660(x14113,x14112))
% 199.29/199.25 [1412]~E(x14121,x14122)+E(f356(x14121,x14123,x14124),f356(x14122,x14123,x14124))
% 199.29/199.25 [1413]~E(x14131,x14132)+E(f356(x14133,x14131,x14134),f356(x14133,x14132,x14134))
% 199.29/199.25 [1414]~E(x14141,x14142)+E(f356(x14143,x14144,x14141),f356(x14143,x14144,x14142))
% 199.29/199.25 [1415]~E(x14151,x14152)+E(f382(x14151),f382(x14152))
% 199.29/199.25 [1416]~E(x14161,x14162)+E(f409(x14161,x14163,x14164,x14165),f409(x14162,x14163,x14164,x14165))
% 199.29/199.25 [1417]~E(x14171,x14172)+E(f409(x14173,x14171,x14174,x14175),f409(x14173,x14172,x14174,x14175))
% 199.29/199.25 [1418]~E(x14181,x14182)+E(f409(x14183,x14184,x14181,x14185),f409(x14183,x14184,x14182,x14185))
% 199.29/199.25 [1419]~E(x14191,x14192)+E(f409(x14193,x14194,x14195,x14191),f409(x14193,x14194,x14195,x14192))
% 199.29/199.25 [1420]~E(x14201,x14202)+E(f145(x14201,x14203,x14204),f145(x14202,x14203,x14204))
% 199.29/199.25 [1421]~E(x14211,x14212)+E(f145(x14213,x14211,x14214),f145(x14213,x14212,x14214))
% 199.29/199.25 [1422]~E(x14221,x14222)+E(f145(x14223,x14224,x14221),f145(x14223,x14224,x14222))
% 199.29/199.25 [1423]~E(x14231,x14232)+E(f459(x14231,x14233,x14234),f459(x14232,x14233,x14234))
% 199.29/199.25 [1424]~E(x14241,x14242)+E(f459(x14243,x14241,x14244),f459(x14243,x14242,x14244))
% 199.29/199.25 [1425]~E(x14251,x14252)+E(f459(x14253,x14254,x14251),f459(x14253,x14254,x14252))
% 199.29/199.25 [1426]~E(x14261,x14262)+E(f386(x14261),f386(x14262))
% 199.29/199.25 [1427]~E(x14271,x14272)+E(f485(x14271,x14273,x14274,x14275,x14276),f485(x14272,x14273,x14274,x14275,x14276))
% 199.29/199.25 [1428]~E(x14281,x14282)+E(f485(x14283,x14281,x14284,x14285,x14286),f485(x14283,x14282,x14284,x14285,x14286))
% 199.29/199.25 [1429]~E(x14291,x14292)+E(f485(x14293,x14294,x14291,x14295,x14296),f485(x14293,x14294,x14292,x14295,x14296))
% 199.29/199.25 [1430]~E(x14301,x14302)+E(f485(x14303,x14304,x14305,x14301,x14306),f485(x14303,x14304,x14305,x14302,x14306))
% 199.29/199.25 [1431]~E(x14311,x14312)+E(f485(x14313,x14314,x14315,x14316,x14311),f485(x14313,x14314,x14315,x14316,x14312))
% 199.29/199.25 [1432]~E(x14321,x14322)+E(f837(x14321,x14323,x14324),f837(x14322,x14323,x14324))
% 199.29/199.25 [1433]~E(x14331,x14332)+E(f837(x14333,x14331,x14334),f837(x14333,x14332,x14334))
% 199.29/199.25 [1434]~E(x14341,x14342)+E(f837(x14343,x14344,x14341),f837(x14343,x14344,x14342))
% 199.29/199.25 [1435]~E(x14351,x14352)+E(f408(x14351,x14353,x14354),f408(x14352,x14353,x14354))
% 199.29/199.25 [1436]~E(x14361,x14362)+E(f408(x14363,x14361,x14364),f408(x14363,x14362,x14364))
% 199.29/199.25 [1437]~E(x14371,x14372)+E(f408(x14373,x14374,x14371),f408(x14373,x14374,x14372))
% 199.29/199.25 [1438]~E(x14381,x14382)+E(f489(x14381,x14383,x14384,x14385),f489(x14382,x14383,x14384,x14385))
% 199.29/199.25 [1439]~E(x14391,x14392)+E(f489(x14393,x14391,x14394,x14395),f489(x14393,x14392,x14394,x14395))
% 199.29/199.25 [1440]~E(x14401,x14402)+E(f489(x14403,x14404,x14401,x14405),f489(x14403,x14404,x14402,x14405))
% 199.29/199.25 [1441]~E(x14411,x14412)+E(f489(x14413,x14414,x14415,x14411),f489(x14413,x14414,x14415,x14412))
% 199.29/199.25 [1442]~E(x14421,x14422)+E(f211(x14421,x14423,x14424,x14425),f211(x14422,x14423,x14424,x14425))
% 199.29/199.25 [1443]~E(x14431,x14432)+E(f211(x14433,x14431,x14434,x14435),f211(x14433,x14432,x14434,x14435))
% 199.29/199.25 [1444]~E(x14441,x14442)+E(f211(x14443,x14444,x14441,x14445),f211(x14443,x14444,x14442,x14445))
% 199.29/199.25 [1445]~E(x14451,x14452)+E(f211(x14453,x14454,x14455,x14451),f211(x14453,x14454,x14455,x14452))
% 199.29/199.25 [1446]~E(x14461,x14462)+E(f375(x14461,x14463),f375(x14462,x14463))
% 199.29/199.25 [1447]~E(x14471,x14472)+E(f375(x14473,x14471),f375(x14473,x14472))
% 199.29/199.25 [1448]~E(x14481,x14482)+E(f328(x14481,x14483,x14484),f328(x14482,x14483,x14484))
% 199.29/199.25 [1449]~E(x14491,x14492)+E(f328(x14493,x14491,x14494),f328(x14493,x14492,x14494))
% 199.29/199.25 [1450]~E(x14501,x14502)+E(f328(x14503,x14504,x14501),f328(x14503,x14504,x14502))
% 199.29/199.25 [1451]~E(x14511,x14512)+E(f653(x14511,x14513,x14514),f653(x14512,x14513,x14514))
% 199.29/199.25 [1452]~E(x14521,x14522)+E(f653(x14523,x14521,x14524),f653(x14523,x14522,x14524))
% 199.29/199.25 [1453]~E(x14531,x14532)+E(f653(x14533,x14534,x14531),f653(x14533,x14534,x14532))
% 199.29/199.25 [1454]~E(x14541,x14542)+E(f828(x14541,x14543,x14544,x14545,x14546,x14547,x14548,x14549),f828(x14542,x14543,x14544,x14545,x14546,x14547,x14548,x14549))
% 199.29/199.25 [1455]~E(x14551,x14552)+E(f828(x14553,x14551,x14554,x14555,x14556,x14557,x14558,x14559),f828(x14553,x14552,x14554,x14555,x14556,x14557,x14558,x14559))
% 199.29/199.25 [1456]~E(x14561,x14562)+E(f828(x14563,x14564,x14561,x14565,x14566,x14567,x14568,x14569),f828(x14563,x14564,x14562,x14565,x14566,x14567,x14568,x14569))
% 199.29/199.25 [1457]~E(x14571,x14572)+E(f828(x14573,x14574,x14575,x14571,x14576,x14577,x14578,x14579),f828(x14573,x14574,x14575,x14572,x14576,x14577,x14578,x14579))
% 199.29/199.25 [1458]~E(x14581,x14582)+E(f828(x14583,x14584,x14585,x14586,x14581,x14587,x14588,x14589),f828(x14583,x14584,x14585,x14586,x14582,x14587,x14588,x14589))
% 199.29/199.25 [1459]~E(x14591,x14592)+E(f828(x14593,x14594,x14595,x14596,x14597,x14591,x14598,x14599),f828(x14593,x14594,x14595,x14596,x14597,x14592,x14598,x14599))
% 199.29/199.25 [1460]~E(x14601,x14602)+E(f828(x14603,x14604,x14605,x14606,x14607,x14608,x14601,x14609),f828(x14603,x14604,x14605,x14606,x14607,x14608,x14602,x14609))
% 199.29/199.25 [1461]~E(x14611,x14612)+E(f828(x14613,x14614,x14615,x14616,x14617,x14618,x14619,x14611),f828(x14613,x14614,x14615,x14616,x14617,x14618,x14619,x14612))
% 199.29/199.25 [1462]~E(x14621,x14622)+E(f598(x14621,x14623),f598(x14622,x14623))
% 199.29/199.25 [1463]~E(x14631,x14632)+E(f598(x14633,x14631),f598(x14633,x14632))
% 199.29/199.25 [1464]~E(x14641,x14642)+E(f428(x14641,x14643,x14644,x14645),f428(x14642,x14643,x14644,x14645))
% 199.29/199.25 [1465]~E(x14651,x14652)+E(f428(x14653,x14651,x14654,x14655),f428(x14653,x14652,x14654,x14655))
% 199.29/199.25 [1466]~E(x14661,x14662)+E(f428(x14663,x14664,x14661,x14665),f428(x14663,x14664,x14662,x14665))
% 199.29/199.25 [1467]~E(x14671,x14672)+E(f428(x14673,x14674,x14675,x14671),f428(x14673,x14674,x14675,x14672))
% 199.29/199.25 [1468]~E(x14681,x14682)+E(f422(x14681,x14683),f422(x14682,x14683))
% 199.29/199.25 [1469]~E(x14691,x14692)+E(f422(x14693,x14691),f422(x14693,x14692))
% 199.29/199.25 [1470]~E(x14701,x14702)+E(f470(x14701,x14703),f470(x14702,x14703))
% 199.29/199.25 [1471]~E(x14711,x14712)+E(f470(x14713,x14711),f470(x14713,x14712))
% 199.29/199.25 [1472]~E(x14721,x14722)+E(f427(x14721,x14723,x14724,x14725),f427(x14722,x14723,x14724,x14725))
% 199.29/199.25 [1473]~E(x14731,x14732)+E(f427(x14733,x14731,x14734,x14735),f427(x14733,x14732,x14734,x14735))
% 199.29/199.25 [1474]~E(x14741,x14742)+E(f427(x14743,x14744,x14741,x14745),f427(x14743,x14744,x14742,x14745))
% 199.29/199.25 [1475]~E(x14751,x14752)+E(f427(x14753,x14754,x14755,x14751),f427(x14753,x14754,x14755,x14752))
% 199.29/199.25 [1476]~E(x14761,x14762)+E(f186(x14761,x14763,x14764,x14765),f186(x14762,x14763,x14764,x14765))
% 199.29/199.25 [1477]~E(x14771,x14772)+E(f186(x14773,x14771,x14774,x14775),f186(x14773,x14772,x14774,x14775))
% 199.29/199.25 [1478]~E(x14781,x14782)+E(f186(x14783,x14784,x14781,x14785),f186(x14783,x14784,x14782,x14785))
% 199.29/199.25 [1479]~E(x14791,x14792)+E(f186(x14793,x14794,x14795,x14791),f186(x14793,x14794,x14795,x14792))
% 199.29/199.25 [1480]~E(x14801,x14802)+E(f415(x14801,x14803,x14804,x14805),f415(x14802,x14803,x14804,x14805))
% 199.29/199.25 [1481]~E(x14811,x14812)+E(f415(x14813,x14811,x14814,x14815),f415(x14813,x14812,x14814,x14815))
% 199.29/199.25 [1482]~E(x14821,x14822)+E(f415(x14823,x14824,x14821,x14825),f415(x14823,x14824,x14822,x14825))
% 199.29/199.25 [1483]~E(x14831,x14832)+E(f415(x14833,x14834,x14835,x14831),f415(x14833,x14834,x14835,x14832))
% 199.29/199.25 [1484]~E(x14841,x14842)+E(f441(x14841,x14843,x14844,x14845),f441(x14842,x14843,x14844,x14845))
% 199.29/199.25 [1485]~E(x14851,x14852)+E(f441(x14853,x14851,x14854,x14855),f441(x14853,x14852,x14854,x14855))
% 199.29/199.25 [1486]~E(x14861,x14862)+E(f441(x14863,x14864,x14861,x14865),f441(x14863,x14864,x14862,x14865))
% 199.29/199.25 [1487]~E(x14871,x14872)+E(f441(x14873,x14874,x14875,x14871),f441(x14873,x14874,x14875,x14872))
% 199.29/199.25 [1488]~E(x14881,x14882)+E(f531(x14881,x14883,x14884,x14885,x14886,x14887),f531(x14882,x14883,x14884,x14885,x14886,x14887))
% 199.29/199.25 [1489]~E(x14891,x14892)+E(f531(x14893,x14891,x14894,x14895,x14896,x14897),f531(x14893,x14892,x14894,x14895,x14896,x14897))
% 199.29/199.25 [1490]~E(x14901,x14902)+E(f531(x14903,x14904,x14901,x14905,x14906,x14907),f531(x14903,x14904,x14902,x14905,x14906,x14907))
% 199.29/199.25 [1491]~E(x14911,x14912)+E(f531(x14913,x14914,x14915,x14911,x14916,x14917),f531(x14913,x14914,x14915,x14912,x14916,x14917))
% 199.29/199.25 [1492]~E(x14921,x14922)+E(f531(x14923,x14924,x14925,x14926,x14921,x14927),f531(x14923,x14924,x14925,x14926,x14922,x14927))
% 199.29/199.25 [1493]~E(x14931,x14932)+E(f531(x14933,x14934,x14935,x14936,x14937,x14931),f531(x14933,x14934,x14935,x14936,x14937,x14932))
% 199.29/199.25 [1494]~E(x14941,x14942)+E(f654(x14941,x14943,x14944),f654(x14942,x14943,x14944))
% 199.29/199.25 [1495]~E(x14951,x14952)+E(f654(x14953,x14951,x14954),f654(x14953,x14952,x14954))
% 199.29/199.25 [1496]~E(x14961,x14962)+E(f654(x14963,x14964,x14961),f654(x14963,x14964,x14962))
% 199.29/199.25 [1497]~E(x14971,x14972)+E(f285(x14971,x14973,x14974),f285(x14972,x14973,x14974))
% 199.29/199.25 [1498]~E(x14981,x14982)+E(f285(x14983,x14981,x14984),f285(x14983,x14982,x14984))
% 199.29/199.25 [1499]~E(x14991,x14992)+E(f285(x14993,x14994,x14991),f285(x14993,x14994,x14992))
% 199.29/199.25 [1500]~E(x15001,x15002)+E(f268(x15001),f268(x15002))
% 199.29/199.25 [1501]~E(x15011,x15012)+E(f484(x15011,x15013,x15014,x15015,x15016,x15017,x15018),f484(x15012,x15013,x15014,x15015,x15016,x15017,x15018))
% 199.29/199.25 [1502]~E(x15021,x15022)+E(f484(x15023,x15021,x15024,x15025,x15026,x15027,x15028),f484(x15023,x15022,x15024,x15025,x15026,x15027,x15028))
% 199.29/199.25 [1503]~E(x15031,x15032)+E(f484(x15033,x15034,x15031,x15035,x15036,x15037,x15038),f484(x15033,x15034,x15032,x15035,x15036,x15037,x15038))
% 199.29/199.25 [1504]~E(x15041,x15042)+E(f484(x15043,x15044,x15045,x15041,x15046,x15047,x15048),f484(x15043,x15044,x15045,x15042,x15046,x15047,x15048))
% 199.29/199.25 [1505]~E(x15051,x15052)+E(f484(x15053,x15054,x15055,x15056,x15051,x15057,x15058),f484(x15053,x15054,x15055,x15056,x15052,x15057,x15058))
% 199.29/199.25 [1506]~E(x15061,x15062)+E(f484(x15063,x15064,x15065,x15066,x15067,x15061,x15068),f484(x15063,x15064,x15065,x15066,x15067,x15062,x15068))
% 199.29/199.25 [1507]~E(x15071,x15072)+E(f484(x15073,x15074,x15075,x15076,x15077,x15078,x15071),f484(x15073,x15074,x15075,x15076,x15077,x15078,x15072))
% 199.29/199.25 [1508]~E(x15081,x15082)+E(f62(x15081,x15083,x15084),f62(x15082,x15083,x15084))
% 199.29/199.25 [1509]~E(x15091,x15092)+E(f62(x15093,x15091,x15094),f62(x15093,x15092,x15094))
% 199.29/199.25 [1510]~E(x15101,x15102)+E(f62(x15103,x15104,x15101),f62(x15103,x15104,x15102))
% 199.29/199.25 [1511]~E(x15111,x15112)+E(f617(x15111,x15113,x15114,x15115,x15116),f617(x15112,x15113,x15114,x15115,x15116))
% 199.29/199.25 [1512]~E(x15121,x15122)+E(f617(x15123,x15121,x15124,x15125,x15126),f617(x15123,x15122,x15124,x15125,x15126))
% 199.29/199.25 [1513]~E(x15131,x15132)+E(f617(x15133,x15134,x15131,x15135,x15136),f617(x15133,x15134,x15132,x15135,x15136))
% 199.29/199.25 [1514]~E(x15141,x15142)+E(f617(x15143,x15144,x15145,x15141,x15146),f617(x15143,x15144,x15145,x15142,x15146))
% 199.29/199.25 [1515]~E(x15151,x15152)+E(f617(x15153,x15154,x15155,x15156,x15151),f617(x15153,x15154,x15155,x15156,x15152))
% 199.29/199.25 [1516]~E(x15161,x15162)+E(f236(x15161,x15163,x15164,x15165,x15166,x15167),f236(x15162,x15163,x15164,x15165,x15166,x15167))
% 199.29/199.25 [1517]~E(x15171,x15172)+E(f236(x15173,x15171,x15174,x15175,x15176,x15177),f236(x15173,x15172,x15174,x15175,x15176,x15177))
% 199.29/199.25 [1518]~E(x15181,x15182)+E(f236(x15183,x15184,x15181,x15185,x15186,x15187),f236(x15183,x15184,x15182,x15185,x15186,x15187))
% 199.29/199.25 [1519]~E(x15191,x15192)+E(f236(x15193,x15194,x15195,x15191,x15196,x15197),f236(x15193,x15194,x15195,x15192,x15196,x15197))
% 199.29/199.25 [1520]~E(x15201,x15202)+E(f236(x15203,x15204,x15205,x15206,x15201,x15207),f236(x15203,x15204,x15205,x15206,x15202,x15207))
% 199.29/199.25 [1521]~E(x15211,x15212)+E(f236(x15213,x15214,x15215,x15216,x15217,x15211),f236(x15213,x15214,x15215,x15216,x15217,x15212))
% 199.29/199.25 [1522]~E(x15221,x15222)+E(f672(x15221,x15223,x15224),f672(x15222,x15223,x15224))
% 199.29/199.25 [1523]~E(x15231,x15232)+E(f672(x15233,x15231,x15234),f672(x15233,x15232,x15234))
% 199.29/199.25 [1524]~E(x15241,x15242)+E(f672(x15243,x15244,x15241),f672(x15243,x15244,x15242))
% 199.29/199.25 [1525]~E(x15251,x15252)+E(f368(x15251,x15253,x15254),f368(x15252,x15253,x15254))
% 199.29/199.25 [1526]~E(x15261,x15262)+E(f368(x15263,x15261,x15264),f368(x15263,x15262,x15264))
% 199.29/199.25 [1527]~E(x15271,x15272)+E(f368(x15273,x15274,x15271),f368(x15273,x15274,x15272))
% 199.29/199.25 [1528]~E(x15281,x15282)+E(f367(x15281,x15283,x15284),f367(x15282,x15283,x15284))
% 199.29/199.25 [1529]~E(x15291,x15292)+E(f367(x15293,x15291,x15294),f367(x15293,x15292,x15294))
% 199.29/199.25 [1530]~E(x15301,x15302)+E(f367(x15303,x15304,x15301),f367(x15303,x15304,x15302))
% 199.29/199.25 [1531]~E(x15311,x15312)+E(f226(x15311,x15313),f226(x15312,x15313))
% 199.29/199.25 [1532]~E(x15321,x15322)+E(f226(x15323,x15321),f226(x15323,x15322))
% 199.29/199.25 [1533]~E(x15331,x15332)+E(f547(x15331,x15333,x15334),f547(x15332,x15333,x15334))
% 199.29/199.25 [1534]~E(x15341,x15342)+E(f547(x15343,x15341,x15344),f547(x15343,x15342,x15344))
% 199.29/199.25 [1535]~E(x15351,x15352)+E(f547(x15353,x15354,x15351),f547(x15353,x15354,x15352))
% 199.29/199.25 [1536]~E(x15361,x15362)+E(f388(x15361),f388(x15362))
% 199.29/199.25 [1537]~E(x15371,x15372)+E(f462(x15371,x15373,x15374,x15375,x15376),f462(x15372,x15373,x15374,x15375,x15376))
% 199.29/199.25 [1538]~E(x15381,x15382)+E(f462(x15383,x15381,x15384,x15385,x15386),f462(x15383,x15382,x15384,x15385,x15386))
% 199.29/199.25 [1539]~E(x15391,x15392)+E(f462(x15393,x15394,x15391,x15395,x15396),f462(x15393,x15394,x15392,x15395,x15396))
% 199.29/199.25 [1540]~E(x15401,x15402)+E(f462(x15403,x15404,x15405,x15401,x15406),f462(x15403,x15404,x15405,x15402,x15406))
% 199.29/199.25 [1541]~E(x15411,x15412)+E(f462(x15413,x15414,x15415,x15416,x15411),f462(x15413,x15414,x15415,x15416,x15412))
% 199.29/199.25 [1542]~E(x15421,x15422)+E(f153(x15421,x15423,x15424,x15425),f153(x15422,x15423,x15424,x15425))
% 199.29/199.25 [1543]~E(x15431,x15432)+E(f153(x15433,x15431,x15434,x15435),f153(x15433,x15432,x15434,x15435))
% 199.29/199.25 [1544]~E(x15441,x15442)+E(f153(x15443,x15444,x15441,x15445),f153(x15443,x15444,x15442,x15445))
% 199.29/199.25 [1545]~E(x15451,x15452)+E(f153(x15453,x15454,x15455,x15451),f153(x15453,x15454,x15455,x15452))
% 199.29/199.25 [1546]~E(x15461,x15462)+E(f717(x15461,x15463,x15464,x15465),f717(x15462,x15463,x15464,x15465))
% 199.29/199.25 [1547]~E(x15471,x15472)+E(f717(x15473,x15471,x15474,x15475),f717(x15473,x15472,x15474,x15475))
% 199.29/199.25 [1548]~E(x15481,x15482)+E(f717(x15483,x15484,x15481,x15485),f717(x15483,x15484,x15482,x15485))
% 199.29/199.25 [1549]~E(x15491,x15492)+E(f717(x15493,x15494,x15495,x15491),f717(x15493,x15494,x15495,x15492))
% 199.29/199.25 [1550]~E(x15501,x15502)+E(f400(x15501,x15503),f400(x15502,x15503))
% 199.29/199.25 [1551]~E(x15511,x15512)+E(f400(x15513,x15511),f400(x15513,x15512))
% 199.29/199.25 [1552]~E(x15521,x15522)+E(f583(x15521,x15523,x15524),f583(x15522,x15523,x15524))
% 199.29/199.25 [1553]~E(x15531,x15532)+E(f583(x15533,x15531,x15534),f583(x15533,x15532,x15534))
% 199.29/199.25 [1554]~E(x15541,x15542)+E(f583(x15543,x15544,x15541),f583(x15543,x15544,x15542))
% 199.29/199.25 [1555]~E(x15551,x15552)+E(f685(x15551,x15553,x15554),f685(x15552,x15553,x15554))
% 199.29/199.25 [1556]~E(x15561,x15562)+E(f685(x15563,x15561,x15564),f685(x15563,x15562,x15564))
% 199.29/199.25 [1557]~E(x15571,x15572)+E(f685(x15573,x15574,x15571),f685(x15573,x15574,x15572))
% 199.29/199.25 [1558]~E(x15581,x15582)+E(f250(x15581,x15583,x15584,x15585,x15586),f250(x15582,x15583,x15584,x15585,x15586))
% 199.29/199.25 [1559]~E(x15591,x15592)+E(f250(x15593,x15591,x15594,x15595,x15596),f250(x15593,x15592,x15594,x15595,x15596))
% 199.29/199.25 [1560]~E(x15601,x15602)+E(f250(x15603,x15604,x15601,x15605,x15606),f250(x15603,x15604,x15602,x15605,x15606))
% 199.29/199.25 [1561]~E(x15611,x15612)+E(f250(x15613,x15614,x15615,x15611,x15616),f250(x15613,x15614,x15615,x15612,x15616))
% 199.29/199.25 [1562]~E(x15621,x15622)+E(f250(x15623,x15624,x15625,x15626,x15621),f250(x15623,x15624,x15625,x15626,x15622))
% 199.29/199.25 [1563]~E(x15631,x15632)+E(f645(x15631,x15633,x15634),f645(x15632,x15633,x15634))
% 199.29/199.25 [1564]~E(x15641,x15642)+E(f645(x15643,x15641,x15644),f645(x15643,x15642,x15644))
% 199.29/199.25 [1565]~E(x15651,x15652)+E(f645(x15653,x15654,x15651),f645(x15653,x15654,x15652))
% 199.29/199.25 [1566]~E(x15661,x15662)+E(f810(x15661,x15663,x15664),f810(x15662,x15663,x15664))
% 199.29/199.25 [1567]~E(x15671,x15672)+E(f810(x15673,x15671,x15674),f810(x15673,x15672,x15674))
% 199.29/199.25 [1568]~E(x15681,x15682)+E(f810(x15683,x15684,x15681),f810(x15683,x15684,x15682))
% 199.29/199.25 [1569]~E(x15691,x15692)+E(f240(x15691,x15693,x15694),f240(x15692,x15693,x15694))
% 199.29/199.25 [1570]~E(x15701,x15702)+E(f240(x15703,x15701,x15704),f240(x15703,x15702,x15704))
% 199.29/199.25 [1571]~E(x15711,x15712)+E(f240(x15713,x15714,x15711),f240(x15713,x15714,x15712))
% 199.29/199.25 [1572]~E(x15721,x15722)+E(f822(x15721,x15723,x15724,x15725,x15726,x15727,x15728,x15729),f822(x15722,x15723,x15724,x15725,x15726,x15727,x15728,x15729))
% 199.29/199.25 [1573]~E(x15731,x15732)+E(f822(x15733,x15731,x15734,x15735,x15736,x15737,x15738,x15739),f822(x15733,x15732,x15734,x15735,x15736,x15737,x15738,x15739))
% 199.29/199.25 [1574]~E(x15741,x15742)+E(f822(x15743,x15744,x15741,x15745,x15746,x15747,x15748,x15749),f822(x15743,x15744,x15742,x15745,x15746,x15747,x15748,x15749))
% 199.29/199.25 [1575]~E(x15751,x15752)+E(f822(x15753,x15754,x15755,x15751,x15756,x15757,x15758,x15759),f822(x15753,x15754,x15755,x15752,x15756,x15757,x15758,x15759))
% 199.29/199.25 [1576]~E(x15761,x15762)+E(f822(x15763,x15764,x15765,x15766,x15761,x15767,x15768,x15769),f822(x15763,x15764,x15765,x15766,x15762,x15767,x15768,x15769))
% 199.29/199.25 [1577]~E(x15771,x15772)+E(f822(x15773,x15774,x15775,x15776,x15777,x15771,x15778,x15779),f822(x15773,x15774,x15775,x15776,x15777,x15772,x15778,x15779))
% 199.29/199.25 [1578]~E(x15781,x15782)+E(f822(x15783,x15784,x15785,x15786,x15787,x15788,x15781,x15789),f822(x15783,x15784,x15785,x15786,x15787,x15788,x15782,x15789))
% 199.29/199.25 [1579]~E(x15791,x15792)+E(f822(x15793,x15794,x15795,x15796,x15797,x15798,x15799,x15791),f822(x15793,x15794,x15795,x15796,x15797,x15798,x15799,x15792))
% 199.29/199.25 [1580]~E(x15801,x15802)+E(f769(x15801,x15803,x15804,x15805),f769(x15802,x15803,x15804,x15805))
% 199.29/199.25 [1581]~E(x15811,x15812)+E(f769(x15813,x15811,x15814,x15815),f769(x15813,x15812,x15814,x15815))
% 199.29/199.25 [1582]~E(x15821,x15822)+E(f769(x15823,x15824,x15821,x15825),f769(x15823,x15824,x15822,x15825))
% 199.29/199.25 [1583]~E(x15831,x15832)+E(f769(x15833,x15834,x15835,x15831),f769(x15833,x15834,x15835,x15832))
% 199.29/199.25 [1584]~E(x15841,x15842)+E(f446(x15841,x15843,x15844,x15845),f446(x15842,x15843,x15844,x15845))
% 199.29/199.25 [1585]~E(x15851,x15852)+E(f446(x15853,x15851,x15854,x15855),f446(x15853,x15852,x15854,x15855))
% 199.29/199.25 [1586]~E(x15861,x15862)+E(f446(x15863,x15864,x15861,x15865),f446(x15863,x15864,x15862,x15865))
% 199.29/199.25 [1587]~E(x15871,x15872)+E(f446(x15873,x15874,x15875,x15871),f446(x15873,x15874,x15875,x15872))
% 199.29/199.25 [1588]~E(x15881,x15882)+E(f875(x15881,x15883,x15884),f875(x15882,x15883,x15884))
% 199.29/199.25 [1589]~E(x15891,x15892)+E(f875(x15893,x15891,x15894),f875(x15893,x15892,x15894))
% 199.29/199.25 [1590]~E(x15901,x15902)+E(f875(x15903,x15904,x15901),f875(x15903,x15904,x15902))
% 199.29/199.25 [1591]~E(x15911,x15912)+E(f287(x15911,x15913,x15914),f287(x15912,x15913,x15914))
% 199.29/199.25 [1592]~E(x15921,x15922)+E(f287(x15923,x15921,x15924),f287(x15923,x15922,x15924))
% 199.29/199.25 [1593]~E(x15931,x15932)+E(f287(x15933,x15934,x15931),f287(x15933,x15934,x15932))
% 199.29/199.25 [1594]~E(x15941,x15942)+E(f714(x15941,x15943),f714(x15942,x15943))
% 199.29/199.25 [1595]~E(x15951,x15952)+E(f714(x15953,x15951),f714(x15953,x15952))
% 199.29/199.25 [1596]~E(x15961,x15962)+E(f741(x15961,x15963,x15964),f741(x15962,x15963,x15964))
% 199.29/199.25 [1597]~E(x15971,x15972)+E(f741(x15973,x15971,x15974),f741(x15973,x15972,x15974))
% 199.29/199.25 [1598]~E(x15981,x15982)+E(f741(x15983,x15984,x15981),f741(x15983,x15984,x15982))
% 199.29/199.25 [1599]~E(x15991,x15992)+E(f782(x15991),f782(x15992))
% 199.29/199.25 [1600]~E(x16001,x16002)+E(f424(x16001,x16003),f424(x16002,x16003))
% 199.29/199.25 [1601]~E(x16011,x16012)+E(f424(x16013,x16011),f424(x16013,x16012))
% 199.29/199.25 [1602]~E(x16021,x16022)+E(f870(x16021,x16023,x16024),f870(x16022,x16023,x16024))
% 199.29/199.25 [1603]~E(x16031,x16032)+E(f870(x16033,x16031,x16034),f870(x16033,x16032,x16034))
% 199.29/199.25 [1604]~E(x16041,x16042)+E(f870(x16043,x16044,x16041),f870(x16043,x16044,x16042))
% 199.29/199.25 [1605]~E(x16051,x16052)+E(f482(x16051,x16053,x16054,x16055,x16056),f482(x16052,x16053,x16054,x16055,x16056))
% 199.29/199.25 [1606]~E(x16061,x16062)+E(f482(x16063,x16061,x16064,x16065,x16066),f482(x16063,x16062,x16064,x16065,x16066))
% 199.29/199.25 [1607]~E(x16071,x16072)+E(f482(x16073,x16074,x16071,x16075,x16076),f482(x16073,x16074,x16072,x16075,x16076))
% 199.29/199.25 [1608]~E(x16081,x16082)+E(f482(x16083,x16084,x16085,x16081,x16086),f482(x16083,x16084,x16085,x16082,x16086))
% 199.29/199.25 [1609]~E(x16091,x16092)+E(f482(x16093,x16094,x16095,x16096,x16091),f482(x16093,x16094,x16095,x16096,x16092))
% 199.29/199.25 [1610]~E(x16101,x16102)+E(f282(x16101,x16103),f282(x16102,x16103))
% 199.29/199.25 [1611]~E(x16111,x16112)+E(f282(x16113,x16111),f282(x16113,x16112))
% 199.29/199.25 [1612]~E(x16121,x16122)+E(f245(x16121,x16123,x16124,x16125),f245(x16122,x16123,x16124,x16125))
% 199.29/199.25 [1613]~E(x16131,x16132)+E(f245(x16133,x16131,x16134,x16135),f245(x16133,x16132,x16134,x16135))
% 199.29/199.25 [1614]~E(x16141,x16142)+E(f245(x16143,x16144,x16141,x16145),f245(x16143,x16144,x16142,x16145))
% 199.29/199.25 [1615]~E(x16151,x16152)+E(f245(x16153,x16154,x16155,x16151),f245(x16153,x16154,x16155,x16152))
% 199.29/199.25 [1616]~E(x16161,x16162)+E(f663(x16161,x16163,x16164,x16165,x16166),f663(x16162,x16163,x16164,x16165,x16166))
% 199.29/199.25 [1617]~E(x16171,x16172)+E(f663(x16173,x16171,x16174,x16175,x16176),f663(x16173,x16172,x16174,x16175,x16176))
% 199.29/199.25 [1618]~E(x16181,x16182)+E(f663(x16183,x16184,x16181,x16185,x16186),f663(x16183,x16184,x16182,x16185,x16186))
% 199.29/199.25 [1619]~E(x16191,x16192)+E(f663(x16193,x16194,x16195,x16191,x16196),f663(x16193,x16194,x16195,x16192,x16196))
% 199.29/199.25 [1620]~E(x16201,x16202)+E(f663(x16203,x16204,x16205,x16206,x16201),f663(x16203,x16204,x16205,x16206,x16202))
% 199.29/199.25 [1621]~E(x16211,x16212)+E(f289(x16211,x16213,x16214,x16215,x16216),f289(x16212,x16213,x16214,x16215,x16216))
% 199.29/199.25 [1622]~E(x16221,x16222)+E(f289(x16223,x16221,x16224,x16225,x16226),f289(x16223,x16222,x16224,x16225,x16226))
% 199.29/199.25 [1623]~E(x16231,x16232)+E(f289(x16233,x16234,x16231,x16235,x16236),f289(x16233,x16234,x16232,x16235,x16236))
% 199.29/199.25 [1624]~E(x16241,x16242)+E(f289(x16243,x16244,x16245,x16241,x16246),f289(x16243,x16244,x16245,x16242,x16246))
% 199.29/199.25 [1625]~E(x16251,x16252)+E(f289(x16253,x16254,x16255,x16256,x16251),f289(x16253,x16254,x16255,x16256,x16252))
% 199.29/199.25 [1626]~E(x16261,x16262)+E(f311(x16261,x16263,x16264),f311(x16262,x16263,x16264))
% 199.29/199.25 [1627]~E(x16271,x16272)+E(f311(x16273,x16271,x16274),f311(x16273,x16272,x16274))
% 199.29/199.25 [1628]~E(x16281,x16282)+E(f311(x16283,x16284,x16281),f311(x16283,x16284,x16282))
% 199.29/199.25 [1629]~E(x16291,x16292)+E(f560(x16291,x16293,x16294),f560(x16292,x16293,x16294))
% 199.29/199.25 [1630]~E(x16301,x16302)+E(f560(x16303,x16301,x16304),f560(x16303,x16302,x16304))
% 199.29/199.25 [1631]~E(x16311,x16312)+E(f560(x16313,x16314,x16311),f560(x16313,x16314,x16312))
% 199.29/199.25 [1632]~E(x16321,x16322)+E(f616(x16321,x16323,x16324,x16325,x16326),f616(x16322,x16323,x16324,x16325,x16326))
% 199.29/199.25 [1633]~E(x16331,x16332)+E(f616(x16333,x16331,x16334,x16335,x16336),f616(x16333,x16332,x16334,x16335,x16336))
% 199.29/199.25 [1634]~E(x16341,x16342)+E(f616(x16343,x16344,x16341,x16345,x16346),f616(x16343,x16344,x16342,x16345,x16346))
% 199.29/199.25 [1635]~E(x16351,x16352)+E(f616(x16353,x16354,x16355,x16351,x16356),f616(x16353,x16354,x16355,x16352,x16356))
% 199.29/199.25 [1636]~E(x16361,x16362)+E(f616(x16363,x16364,x16365,x16366,x16361),f616(x16363,x16364,x16365,x16366,x16362))
% 199.29/199.25 [1637]~E(x16371,x16372)+E(f235(x16371,x16373,x16374),f235(x16372,x16373,x16374))
% 199.29/199.25 [1638]~E(x16381,x16382)+E(f235(x16383,x16381,x16384),f235(x16383,x16382,x16384))
% 199.29/199.25 [1639]~E(x16391,x16392)+E(f235(x16393,x16394,x16391),f235(x16393,x16394,x16392))
% 199.29/199.25 [1640]~E(x16401,x16402)+E(f429(x16401,x16403,x16404),f429(x16402,x16403,x16404))
% 199.29/199.25 [1641]~E(x16411,x16412)+E(f429(x16413,x16411,x16414),f429(x16413,x16412,x16414))
% 199.29/199.25 [1642]~E(x16421,x16422)+E(f429(x16423,x16424,x16421),f429(x16423,x16424,x16422))
% 199.29/199.25 [1643]~E(x16431,x16432)+E(f768(x16431,x16433),f768(x16432,x16433))
% 199.29/199.25 [1644]~E(x16441,x16442)+E(f768(x16443,x16441),f768(x16443,x16442))
% 199.29/199.25 [1645]~E(x16451,x16452)+E(f377(x16451,x16453,x16454),f377(x16452,x16453,x16454))
% 199.29/199.25 [1646]~E(x16461,x16462)+E(f377(x16463,x16461,x16464),f377(x16463,x16462,x16464))
% 199.29/199.25 [1647]~E(x16471,x16472)+E(f377(x16473,x16474,x16471),f377(x16473,x16474,x16472))
% 199.29/199.25 [1648]~E(x16481,x16482)+E(f624(x16481,x16483,x16484,x16485),f624(x16482,x16483,x16484,x16485))
% 199.29/199.25 [1649]~E(x16491,x16492)+E(f624(x16493,x16491,x16494,x16495),f624(x16493,x16492,x16494,x16495))
% 199.29/199.25 [1650]~E(x16501,x16502)+E(f624(x16503,x16504,x16501,x16505),f624(x16503,x16504,x16502,x16505))
% 199.29/199.25 [1651]~E(x16511,x16512)+E(f624(x16513,x16514,x16515,x16511),f624(x16513,x16514,x16515,x16512))
% 199.29/199.25 [1652]~E(x16521,x16522)+E(f426(x16521,x16523,x16524,x16525),f426(x16522,x16523,x16524,x16525))
% 199.29/199.25 [1653]~E(x16531,x16532)+E(f426(x16533,x16531,x16534,x16535),f426(x16533,x16532,x16534,x16535))
% 199.29/199.25 [1654]~E(x16541,x16542)+E(f426(x16543,x16544,x16541,x16545),f426(x16543,x16544,x16542,x16545))
% 199.29/199.25 [1655]~E(x16551,x16552)+E(f426(x16553,x16554,x16555,x16551),f426(x16553,x16554,x16555,x16552))
% 199.29/199.25 [1656]~E(x16561,x16562)+E(f545(x16561,x16563),f545(x16562,x16563))
% 199.29/199.25 [1657]~E(x16571,x16572)+E(f545(x16573,x16571),f545(x16573,x16572))
% 199.29/199.25 [1658]~E(x16581,x16582)+E(f619(x16581,x16583,x16584,x16585,x16586),f619(x16582,x16583,x16584,x16585,x16586))
% 199.29/199.25 [1659]~E(x16591,x16592)+E(f619(x16593,x16591,x16594,x16595,x16596),f619(x16593,x16592,x16594,x16595,x16596))
% 199.29/199.25 [1660]~E(x16601,x16602)+E(f619(x16603,x16604,x16601,x16605,x16606),f619(x16603,x16604,x16602,x16605,x16606))
% 199.29/199.25 [1661]~E(x16611,x16612)+E(f619(x16613,x16614,x16615,x16611,x16616),f619(x16613,x16614,x16615,x16612,x16616))
% 199.29/199.25 [1662]~E(x16621,x16622)+E(f619(x16623,x16624,x16625,x16626,x16621),f619(x16623,x16624,x16625,x16626,x16622))
% 199.29/199.25 [1663]~E(x16631,x16632)+E(f866(x16631,x16633,x16634),f866(x16632,x16633,x16634))
% 199.29/199.25 [1664]~E(x16641,x16642)+E(f866(x16643,x16641,x16644),f866(x16643,x16642,x16644))
% 199.29/199.25 [1665]~E(x16651,x16652)+E(f866(x16653,x16654,x16651),f866(x16653,x16654,x16652))
% 199.29/199.25 [1666]~E(x16661,x16662)+E(f136(x16661,x16663),f136(x16662,x16663))
% 199.29/199.25 [1667]~E(x16671,x16672)+E(f136(x16673,x16671),f136(x16673,x16672))
% 199.29/199.25 [1668]~E(x16681,x16682)+E(f21(x16681,x16683,x16684,x16685),f21(x16682,x16683,x16684,x16685))
% 199.29/199.25 [1669]~E(x16691,x16692)+E(f21(x16693,x16691,x16694,x16695),f21(x16693,x16692,x16694,x16695))
% 199.29/199.25 [1670]~E(x16701,x16702)+E(f21(x16703,x16704,x16701,x16705),f21(x16703,x16704,x16702,x16705))
% 199.29/199.25 [1671]~E(x16711,x16712)+E(f21(x16713,x16714,x16715,x16711),f21(x16713,x16714,x16715,x16712))
% 199.29/199.25 [1672]~E(x16721,x16722)+E(f580(x16721,x16723,x16724,x16725,x16726,x16727),f580(x16722,x16723,x16724,x16725,x16726,x16727))
% 199.29/199.25 [1673]~E(x16731,x16732)+E(f580(x16733,x16731,x16734,x16735,x16736,x16737),f580(x16733,x16732,x16734,x16735,x16736,x16737))
% 199.29/199.25 [1674]~E(x16741,x16742)+E(f580(x16743,x16744,x16741,x16745,x16746,x16747),f580(x16743,x16744,x16742,x16745,x16746,x16747))
% 199.29/199.25 [1675]~E(x16751,x16752)+E(f580(x16753,x16754,x16755,x16751,x16756,x16757),f580(x16753,x16754,x16755,x16752,x16756,x16757))
% 199.29/199.25 [1676]~E(x16761,x16762)+E(f580(x16763,x16764,x16765,x16766,x16761,x16767),f580(x16763,x16764,x16765,x16766,x16762,x16767))
% 199.29/199.25 [1677]~E(x16771,x16772)+E(f580(x16773,x16774,x16775,x16776,x16777,x16771),f580(x16773,x16774,x16775,x16776,x16777,x16772))
% 199.29/199.25 [1678]~E(x16781,x16782)+E(f745(x16781,x16783,x16784),f745(x16782,x16783,x16784))
% 199.29/199.25 [1679]~E(x16791,x16792)+E(f745(x16793,x16791,x16794),f745(x16793,x16792,x16794))
% 199.29/199.25 [1680]~E(x16801,x16802)+E(f745(x16803,x16804,x16801),f745(x16803,x16804,x16802))
% 199.29/199.25 [1681]~E(x16811,x16812)+E(f789(x16811),f789(x16812))
% 199.29/199.25 [1682]~E(x16821,x16822)+E(f890(x16821,x16823,x16824),f890(x16822,x16823,x16824))
% 199.29/199.25 [1683]~E(x16831,x16832)+E(f890(x16833,x16831,x16834),f890(x16833,x16832,x16834))
% 199.29/199.25 [1684]~E(x16841,x16842)+E(f890(x16843,x16844,x16841),f890(x16843,x16844,x16842))
% 199.29/199.25 [1685]~E(x16851,x16852)+E(f509(x16851,x16853,x16854),f509(x16852,x16853,x16854))
% 199.29/199.25 [1686]~E(x16861,x16862)+E(f509(x16863,x16861,x16864),f509(x16863,x16862,x16864))
% 199.29/199.25 [1687]~E(x16871,x16872)+E(f509(x16873,x16874,x16871),f509(x16873,x16874,x16872))
% 199.29/199.25 [1688]~E(x16881,x16882)+E(f671(x16881,x16883,x16884,x16885,x16886),f671(x16882,x16883,x16884,x16885,x16886))
% 199.29/199.25 [1689]~E(x16891,x16892)+E(f671(x16893,x16891,x16894,x16895,x16896),f671(x16893,x16892,x16894,x16895,x16896))
% 199.29/199.25 [1690]~E(x16901,x16902)+E(f671(x16903,x16904,x16901,x16905,x16906),f671(x16903,x16904,x16902,x16905,x16906))
% 199.29/199.25 [1691]~E(x16911,x16912)+E(f671(x16913,x16914,x16915,x16911,x16916),f671(x16913,x16914,x16915,x16912,x16916))
% 199.29/199.25 [1692]~E(x16921,x16922)+E(f671(x16923,x16924,x16925,x16926,x16921),f671(x16923,x16924,x16925,x16926,x16922))
% 199.29/199.25 [1693]~E(x16931,x16932)+E(f33(x16931),f33(x16932))
% 199.29/199.25 [1694]~E(x16941,x16942)+E(f552(x16941,x16943,x16944,x16945),f552(x16942,x16943,x16944,x16945))
% 199.29/199.25 [1695]~E(x16951,x16952)+E(f552(x16953,x16951,x16954,x16955),f552(x16953,x16952,x16954,x16955))
% 199.29/199.25 [1696]~E(x16961,x16962)+E(f552(x16963,x16964,x16961,x16965),f552(x16963,x16964,x16962,x16965))
% 199.29/199.25 [1697]~E(x16971,x16972)+E(f552(x16973,x16974,x16975,x16971),f552(x16973,x16974,x16975,x16972))
% 199.29/199.25 [1698]~E(x16981,x16982)+E(f742(x16981,x16983,x16984),f742(x16982,x16983,x16984))
% 199.29/199.25 [1699]~E(x16991,x16992)+E(f742(x16993,x16991,x16994),f742(x16993,x16992,x16994))
% 199.29/199.25 [1700]~E(x17001,x17002)+E(f742(x17003,x17004,x17001),f742(x17003,x17004,x17002))
% 199.29/199.25 [1701]~E(x17011,x17012)+E(f766(x17011,x17013,x17014,x17015,x17016,x17017,x17018),f766(x17012,x17013,x17014,x17015,x17016,x17017,x17018))
% 199.29/199.25 [1702]~E(x17021,x17022)+E(f766(x17023,x17021,x17024,x17025,x17026,x17027,x17028),f766(x17023,x17022,x17024,x17025,x17026,x17027,x17028))
% 199.29/199.25 [1703]~E(x17031,x17032)+E(f766(x17033,x17034,x17031,x17035,x17036,x17037,x17038),f766(x17033,x17034,x17032,x17035,x17036,x17037,x17038))
% 199.29/199.25 [1704]~E(x17041,x17042)+E(f766(x17043,x17044,x17045,x17041,x17046,x17047,x17048),f766(x17043,x17044,x17045,x17042,x17046,x17047,x17048))
% 199.29/199.25 [1705]~E(x17051,x17052)+E(f766(x17053,x17054,x17055,x17056,x17051,x17057,x17058),f766(x17053,x17054,x17055,x17056,x17052,x17057,x17058))
% 199.29/199.25 [1706]~E(x17061,x17062)+E(f766(x17063,x17064,x17065,x17066,x17067,x17061,x17068),f766(x17063,x17064,x17065,x17066,x17067,x17062,x17068))
% 199.29/199.25 [1707]~E(x17071,x17072)+E(f766(x17073,x17074,x17075,x17076,x17077,x17078,x17071),f766(x17073,x17074,x17075,x17076,x17077,x17078,x17072))
% 199.29/199.25 [1708]~E(x17081,x17082)+E(f666(x17081,x17083,x17084,x17085,x17086),f666(x17082,x17083,x17084,x17085,x17086))
% 199.29/199.25 [1709]~E(x17091,x17092)+E(f666(x17093,x17091,x17094,x17095,x17096),f666(x17093,x17092,x17094,x17095,x17096))
% 199.29/199.25 [1710]~E(x17101,x17102)+E(f666(x17103,x17104,x17101,x17105,x17106),f666(x17103,x17104,x17102,x17105,x17106))
% 199.29/199.25 [1711]~E(x17111,x17112)+E(f666(x17113,x17114,x17115,x17111,x17116),f666(x17113,x17114,x17115,x17112,x17116))
% 199.29/199.25 [1712]~E(x17121,x17122)+E(f666(x17123,x17124,x17125,x17126,x17121),f666(x17123,x17124,x17125,x17126,x17122))
% 199.29/199.25 [1713]~E(x17131,x17132)+E(f818(x17131,x17133,x17134),f818(x17132,x17133,x17134))
% 199.29/199.25 [1714]~E(x17141,x17142)+E(f818(x17143,x17141,x17144),f818(x17143,x17142,x17144))
% 199.29/199.25 [1715]~E(x17151,x17152)+E(f818(x17153,x17154,x17151),f818(x17153,x17154,x17152))
% 199.29/199.25 [1716]~E(x17161,x17162)+E(f420(x17161,x17163,x17164,x17165),f420(x17162,x17163,x17164,x17165))
% 199.29/199.25 [1717]~E(x17171,x17172)+E(f420(x17173,x17171,x17174,x17175),f420(x17173,x17172,x17174,x17175))
% 199.29/199.25 [1718]~E(x17181,x17182)+E(f420(x17183,x17184,x17181,x17185),f420(x17183,x17184,x17182,x17185))
% 199.29/199.25 [1719]~E(x17191,x17192)+E(f420(x17193,x17194,x17195,x17191),f420(x17193,x17194,x17195,x17192))
% 199.29/199.25 [1720]~E(x17201,x17202)+E(f623(x17201,x17203),f623(x17202,x17203))
% 199.29/199.25 [1721]~E(x17211,x17212)+E(f623(x17213,x17211),f623(x17213,x17212))
% 199.29/199.25 [1722]~E(x17221,x17222)+E(f599(x17221,x17223),f599(x17222,x17223))
% 199.29/199.25 [1723]~E(x17231,x17232)+E(f599(x17233,x17231),f599(x17233,x17232))
% 199.29/199.25 [1724]~E(x17241,x17242)+E(f869(x17241,x17243,x17244),f869(x17242,x17243,x17244))
% 199.29/199.25 [1725]~E(x17251,x17252)+E(f869(x17253,x17251,x17254),f869(x17253,x17252,x17254))
% 199.29/199.25 [1726]~E(x17261,x17262)+E(f869(x17263,x17264,x17261),f869(x17263,x17264,x17262))
% 199.29/199.25 [1727]~E(x17271,x17272)+E(f606(x17271,x17273,x17274),f606(x17272,x17273,x17274))
% 199.29/199.25 [1728]~E(x17281,x17282)+E(f606(x17283,x17281,x17284),f606(x17283,x17282,x17284))
% 199.29/199.25 [1729]~E(x17291,x17292)+E(f606(x17293,x17294,x17291),f606(x17293,x17294,x17292))
% 199.29/199.25 [1730]~E(x17301,x17302)+E(f502(x17301,x17303,x17304,x17305,x17306,x17307,x17308),f502(x17302,x17303,x17304,x17305,x17306,x17307,x17308))
% 199.29/199.25 [1731]~E(x17311,x17312)+E(f502(x17313,x17311,x17314,x17315,x17316,x17317,x17318),f502(x17313,x17312,x17314,x17315,x17316,x17317,x17318))
% 199.29/199.25 [1732]~E(x17321,x17322)+E(f502(x17323,x17324,x17321,x17325,x17326,x17327,x17328),f502(x17323,x17324,x17322,x17325,x17326,x17327,x17328))
% 199.29/199.25 [1733]~E(x17331,x17332)+E(f502(x17333,x17334,x17335,x17331,x17336,x17337,x17338),f502(x17333,x17334,x17335,x17332,x17336,x17337,x17338))
% 199.29/199.25 [1734]~E(x17341,x17342)+E(f502(x17343,x17344,x17345,x17346,x17341,x17347,x17348),f502(x17343,x17344,x17345,x17346,x17342,x17347,x17348))
% 199.29/199.25 [1735]~E(x17351,x17352)+E(f502(x17353,x17354,x17355,x17356,x17357,x17351,x17358),f502(x17353,x17354,x17355,x17356,x17357,x17352,x17358))
% 199.29/199.25 [1736]~E(x17361,x17362)+E(f502(x17363,x17364,x17365,x17366,x17367,x17368,x17361),f502(x17363,x17364,x17365,x17366,x17367,x17368,x17362))
% 199.29/199.25 [1737]~E(x17371,x17372)+E(f746(x17371,x17373,x17374),f746(x17372,x17373,x17374))
% 199.29/199.25 [1738]~E(x17381,x17382)+E(f746(x17383,x17381,x17384),f746(x17383,x17382,x17384))
% 199.29/199.25 [1739]~E(x17391,x17392)+E(f746(x17393,x17394,x17391),f746(x17393,x17394,x17392))
% 199.29/199.25 [1740]~E(x17401,x17402)+E(f595(x17401,x17403,x17404),f595(x17402,x17403,x17404))
% 199.29/199.25 [1741]~E(x17411,x17412)+E(f595(x17413,x17411,x17414),f595(x17413,x17412,x17414))
% 199.29/199.25 [1742]~E(x17421,x17422)+E(f595(x17423,x17424,x17421),f595(x17423,x17424,x17422))
% 199.29/199.25 [1743]~E(x17431,x17432)+E(f539(x17431,x17433,x17434,x17435,x17436,x17437),f539(x17432,x17433,x17434,x17435,x17436,x17437))
% 199.29/199.25 [1744]~E(x17441,x17442)+E(f539(x17443,x17441,x17444,x17445,x17446,x17447),f539(x17443,x17442,x17444,x17445,x17446,x17447))
% 199.29/199.25 [1745]~E(x17451,x17452)+E(f539(x17453,x17454,x17451,x17455,x17456,x17457),f539(x17453,x17454,x17452,x17455,x17456,x17457))
% 199.29/199.25 [1746]~E(x17461,x17462)+E(f539(x17463,x17464,x17465,x17461,x17466,x17467),f539(x17463,x17464,x17465,x17462,x17466,x17467))
% 199.29/199.25 [1747]~E(x17471,x17472)+E(f539(x17473,x17474,x17475,x17476,x17471,x17477),f539(x17473,x17474,x17475,x17476,x17472,x17477))
% 199.29/199.25 [1748]~E(x17481,x17482)+E(f539(x17483,x17484,x17485,x17486,x17487,x17481),f539(x17483,x17484,x17485,x17486,x17487,x17482))
% 199.29/199.25 [1749]~E(x17491,x17492)+E(f541(x17491,x17493,x17494,x17495),f541(x17492,x17493,x17494,x17495))
% 199.29/199.25 [1750]~E(x17501,x17502)+E(f541(x17503,x17501,x17504,x17505),f541(x17503,x17502,x17504,x17505))
% 199.29/199.25 [1751]~E(x17511,x17512)+E(f541(x17513,x17514,x17511,x17515),f541(x17513,x17514,x17512,x17515))
% 199.29/199.25 [1752]~E(x17521,x17522)+E(f541(x17523,x17524,x17525,x17521),f541(x17523,x17524,x17525,x17522))
% 199.29/199.25 [1753]~E(x17531,x17532)+E(f597(x17531,x17533),f597(x17532,x17533))
% 199.29/199.25 [1754]~E(x17541,x17542)+E(f597(x17543,x17541),f597(x17543,x17542))
% 199.29/199.25 [1755]~E(x17551,x17552)+E(f796(x17551,x17553,x17554,x17555,x17556,x17557),f796(x17552,x17553,x17554,x17555,x17556,x17557))
% 199.29/199.25 [1756]~E(x17561,x17562)+E(f796(x17563,x17561,x17564,x17565,x17566,x17567),f796(x17563,x17562,x17564,x17565,x17566,x17567))
% 199.29/199.25 [1757]~E(x17571,x17572)+E(f796(x17573,x17574,x17571,x17575,x17576,x17577),f796(x17573,x17574,x17572,x17575,x17576,x17577))
% 199.29/199.25 [1758]~E(x17581,x17582)+E(f796(x17583,x17584,x17585,x17581,x17586,x17587),f796(x17583,x17584,x17585,x17582,x17586,x17587))
% 199.29/199.25 [1759]~E(x17591,x17592)+E(f796(x17593,x17594,x17595,x17596,x17591,x17597),f796(x17593,x17594,x17595,x17596,x17592,x17597))
% 199.29/199.25 [1760]~E(x17601,x17602)+E(f796(x17603,x17604,x17605,x17606,x17607,x17601),f796(x17603,x17604,x17605,x17606,x17607,x17602))
% 199.29/199.25 [1761]~E(x17611,x17612)+E(f515(x17611,x17613,x17614,x17615),f515(x17612,x17613,x17614,x17615))
% 199.29/199.25 [1762]~E(x17621,x17622)+E(f515(x17623,x17621,x17624,x17625),f515(x17623,x17622,x17624,x17625))
% 199.29/199.25 [1763]~E(x17631,x17632)+E(f515(x17633,x17634,x17631,x17635),f515(x17633,x17634,x17632,x17635))
% 199.29/199.25 [1764]~E(x17641,x17642)+E(f515(x17643,x17644,x17645,x17641),f515(x17643,x17644,x17645,x17642))
% 199.29/199.25 [1765]~E(x17651,x17652)+E(f564(x17651,x17653,x17654),f564(x17652,x17653,x17654))
% 199.29/199.25 [1766]~E(x17661,x17662)+E(f564(x17663,x17661,x17664),f564(x17663,x17662,x17664))
% 199.29/199.25 [1767]~E(x17671,x17672)+E(f564(x17673,x17674,x17671),f564(x17673,x17674,x17672))
% 199.29/199.25 [1768]~E(x17681,x17682)+E(f526(x17681,x17683),f526(x17682,x17683))
% 199.29/199.25 [1769]~E(x17691,x17692)+E(f526(x17693,x17691),f526(x17693,x17692))
% 199.29/199.25 [1770]~E(x17701,x17702)+E(f329(x17701,x17703,x17704),f329(x17702,x17703,x17704))
% 199.29/199.25 [1771]~E(x17711,x17712)+E(f329(x17713,x17711,x17714),f329(x17713,x17712,x17714))
% 199.29/199.25 [1772]~E(x17721,x17722)+E(f329(x17723,x17724,x17721),f329(x17723,x17724,x17722))
% 199.29/199.25 [1773]~E(x17731,x17732)+E(f348(x17731,x17733,x17734),f348(x17732,x17733,x17734))
% 199.29/199.25 [1774]~E(x17741,x17742)+E(f348(x17743,x17741,x17744),f348(x17743,x17742,x17744))
% 199.29/199.25 [1775]~E(x17751,x17752)+E(f348(x17753,x17754,x17751),f348(x17753,x17754,x17752))
% 199.29/199.25 [1776]~E(x17761,x17762)+E(f528(x17761,x17763,x17764),f528(x17762,x17763,x17764))
% 199.29/199.25 [1777]~E(x17771,x17772)+E(f528(x17773,x17771,x17774),f528(x17773,x17772,x17774))
% 199.29/199.25 [1778]~E(x17781,x17782)+E(f528(x17783,x17784,x17781),f528(x17783,x17784,x17782))
% 199.29/199.25 [1779]~E(x17791,x17792)+E(f217(x17791,x17793,x17794,x17795,x17796),f217(x17792,x17793,x17794,x17795,x17796))
% 199.29/199.25 [1780]~E(x17801,x17802)+E(f217(x17803,x17801,x17804,x17805,x17806),f217(x17803,x17802,x17804,x17805,x17806))
% 199.29/199.25 [1781]~E(x17811,x17812)+E(f217(x17813,x17814,x17811,x17815,x17816),f217(x17813,x17814,x17812,x17815,x17816))
% 199.29/199.25 [1782]~E(x17821,x17822)+E(f217(x17823,x17824,x17825,x17821,x17826),f217(x17823,x17824,x17825,x17822,x17826))
% 199.29/199.25 [1783]~E(x17831,x17832)+E(f217(x17833,x17834,x17835,x17836,x17831),f217(x17833,x17834,x17835,x17836,x17832))
% 199.29/199.25 [1784]~E(x17841,x17842)+E(f432(x17841,x17843,x17844),f432(x17842,x17843,x17844))
% 199.29/199.25 [1785]~E(x17851,x17852)+E(f432(x17853,x17851,x17854),f432(x17853,x17852,x17854))
% 199.29/199.25 [1786]~E(x17861,x17862)+E(f432(x17863,x17864,x17861),f432(x17863,x17864,x17862))
% 199.29/199.25 [1787]~E(x17871,x17872)+E(f498(x17871,x17873,x17874),f498(x17872,x17873,x17874))
% 199.29/199.25 [1788]~E(x17881,x17882)+E(f498(x17883,x17881,x17884),f498(x17883,x17882,x17884))
% 199.29/199.25 [1789]~E(x17891,x17892)+E(f498(x17893,x17894,x17891),f498(x17893,x17894,x17892))
% 199.29/199.25 [1790]~E(x17901,x17902)+E(f332(x17901,x17903,x17904),f332(x17902,x17903,x17904))
% 199.29/199.25 [1791]~E(x17911,x17912)+E(f332(x17913,x17911,x17914),f332(x17913,x17912,x17914))
% 199.29/199.25 [1792]~E(x17921,x17922)+E(f332(x17923,x17924,x17921),f332(x17923,x17924,x17922))
% 199.29/199.25 [1793]~E(x17931,x17932)+E(f49(x17931,x17933),f49(x17932,x17933))
% 199.29/199.25 [1794]~E(x17941,x17942)+E(f49(x17943,x17941),f49(x17943,x17942))
% 199.29/199.25 [1795]~E(x17951,x17952)+E(f390(x17951,x17953,x17954,x17955),f390(x17952,x17953,x17954,x17955))
% 199.29/199.25 [1796]~E(x17961,x17962)+E(f390(x17963,x17961,x17964,x17965),f390(x17963,x17962,x17964,x17965))
% 199.29/199.25 [1797]~E(x17971,x17972)+E(f390(x17973,x17974,x17971,x17975),f390(x17973,x17974,x17972,x17975))
% 199.29/199.25 [1798]~E(x17981,x17982)+E(f390(x17983,x17984,x17985,x17981),f390(x17983,x17984,x17985,x17982))
% 199.29/199.25 [1799]~E(x17991,x17992)+E(f709(x17991,x17993),f709(x17992,x17993))
% 199.29/199.25 [1800]~E(x18001,x18002)+E(f709(x18003,x18001),f709(x18003,x18002))
% 199.29/199.25 [1801]~E(x18011,x18012)+E(f521(x18011,x18013),f521(x18012,x18013))
% 199.29/199.25 [1802]~E(x18021,x18022)+E(f521(x18023,x18021),f521(x18023,x18022))
% 199.29/199.25 [1803]~E(x18031,x18032)+E(f267(x18031,x18033,x18034,x18035),f267(x18032,x18033,x18034,x18035))
% 199.29/199.25 [1804]~E(x18041,x18042)+E(f267(x18043,x18041,x18044,x18045),f267(x18043,x18042,x18044,x18045))
% 199.29/199.25 [1805]~E(x18051,x18052)+E(f267(x18053,x18054,x18051,x18055),f267(x18053,x18054,x18052,x18055))
% 199.29/199.25 [1806]~E(x18061,x18062)+E(f267(x18063,x18064,x18065,x18061),f267(x18063,x18064,x18065,x18062))
% 199.29/199.25 [1807]~E(x18071,x18072)+E(f50(x18071,x18073,x18074),f50(x18072,x18073,x18074))
% 199.29/199.25 [1808]~E(x18081,x18082)+E(f50(x18083,x18081,x18084),f50(x18083,x18082,x18084))
% 199.29/199.25 [1809]~E(x18091,x18092)+E(f50(x18093,x18094,x18091),f50(x18093,x18094,x18092))
% 199.29/199.25 [1810]~E(x18101,x18102)+E(f758(x18101,x18103),f758(x18102,x18103))
% 199.29/199.25 [1811]~E(x18111,x18112)+E(f758(x18113,x18111),f758(x18113,x18112))
% 199.29/199.25 [1812]~E(x18121,x18122)+E(f799(x18121,x18123),f799(x18122,x18123))
% 199.29/199.25 [1813]~E(x18131,x18132)+E(f799(x18133,x18131),f799(x18133,x18132))
% 199.29/199.25 [1814]~E(x18141,x18142)+E(f397(x18141,x18143,x18144,x18145),f397(x18142,x18143,x18144,x18145))
% 199.29/199.25 [1815]~E(x18151,x18152)+E(f397(x18153,x18151,x18154,x18155),f397(x18153,x18152,x18154,x18155))
% 199.29/199.25 [1816]~E(x18161,x18162)+E(f397(x18163,x18164,x18161,x18165),f397(x18163,x18164,x18162,x18165))
% 199.29/199.25 [1817]~E(x18171,x18172)+E(f397(x18173,x18174,x18175,x18171),f397(x18173,x18174,x18175,x18172))
% 199.29/199.25 [1818]~E(x18181,x18182)+E(f809(x18181,x18183,x18184),f809(x18182,x18183,x18184))
% 199.29/199.25 [1819]~E(x18191,x18192)+E(f809(x18193,x18191,x18194),f809(x18193,x18192,x18194))
% 199.29/199.25 [1820]~E(x18201,x18202)+E(f809(x18203,x18204,x18201),f809(x18203,x18204,x18202))
% 199.29/199.25 [1821]~E(x18211,x18212)+E(f421(x18211,x18213,x18214,x18215),f421(x18212,x18213,x18214,x18215))
% 199.29/199.25 [1822]~E(x18221,x18222)+E(f421(x18223,x18221,x18224,x18225),f421(x18223,x18222,x18224,x18225))
% 199.29/199.25 [1823]~E(x18231,x18232)+E(f421(x18233,x18234,x18231,x18235),f421(x18233,x18234,x18232,x18235))
% 199.29/199.25 [1824]~E(x18241,x18242)+E(f421(x18243,x18244,x18245,x18241),f421(x18243,x18244,x18245,x18242))
% 199.29/199.25 [1825]~E(x18251,x18252)+E(f865(x18251,x18253,x18254,x18255,x18256),f865(x18252,x18253,x18254,x18255,x18256))
% 199.29/199.25 [1826]~E(x18261,x18262)+E(f865(x18263,x18261,x18264,x18265,x18266),f865(x18263,x18262,x18264,x18265,x18266))
% 199.29/199.25 [1827]~E(x18271,x18272)+E(f865(x18273,x18274,x18271,x18275,x18276),f865(x18273,x18274,x18272,x18275,x18276))
% 199.29/199.25 [1828]~E(x18281,x18282)+E(f865(x18283,x18284,x18285,x18281,x18286),f865(x18283,x18284,x18285,x18282,x18286))
% 199.29/199.25 [1829]~E(x18291,x18292)+E(f865(x18293,x18294,x18295,x18296,x18291),f865(x18293,x18294,x18295,x18296,x18292))
% 199.29/199.25 [1830]~E(x18301,x18302)+E(f201(x18301,x18303,x18304,x18305),f201(x18302,x18303,x18304,x18305))
% 199.29/199.25 [1831]~E(x18311,x18312)+E(f201(x18313,x18311,x18314,x18315),f201(x18313,x18312,x18314,x18315))
% 199.29/199.25 [1832]~E(x18321,x18322)+E(f201(x18323,x18324,x18321,x18325),f201(x18323,x18324,x18322,x18325))
% 199.29/199.25 [1833]~E(x18331,x18332)+E(f201(x18333,x18334,x18335,x18331),f201(x18333,x18334,x18335,x18332))
% 199.29/199.25 [1834]~E(x18341,x18342)+E(f440(x18341,x18343,x18344,x18345,x18346,x18347,x18348,x18349),f440(x18342,x18343,x18344,x18345,x18346,x18347,x18348,x18349))
% 199.29/199.25 [1835]~E(x18351,x18352)+E(f440(x18353,x18351,x18354,x18355,x18356,x18357,x18358,x18359),f440(x18353,x18352,x18354,x18355,x18356,x18357,x18358,x18359))
% 199.29/199.25 [1836]~E(x18361,x18362)+E(f440(x18363,x18364,x18361,x18365,x18366,x18367,x18368,x18369),f440(x18363,x18364,x18362,x18365,x18366,x18367,x18368,x18369))
% 199.29/199.25 [1837]~E(x18371,x18372)+E(f440(x18373,x18374,x18375,x18371,x18376,x18377,x18378,x18379),f440(x18373,x18374,x18375,x18372,x18376,x18377,x18378,x18379))
% 199.29/199.25 [1838]~E(x18381,x18382)+E(f440(x18383,x18384,x18385,x18386,x18381,x18387,x18388,x18389),f440(x18383,x18384,x18385,x18386,x18382,x18387,x18388,x18389))
% 199.29/199.25 [1839]~E(x18391,x18392)+E(f440(x18393,x18394,x18395,x18396,x18397,x18391,x18398,x18399),f440(x18393,x18394,x18395,x18396,x18397,x18392,x18398,x18399))
% 199.29/199.25 [1840]~E(x18401,x18402)+E(f440(x18403,x18404,x18405,x18406,x18407,x18408,x18401,x18409),f440(x18403,x18404,x18405,x18406,x18407,x18408,x18402,x18409))
% 199.29/199.25 [1841]~E(x18411,x18412)+E(f440(x18413,x18414,x18415,x18416,x18417,x18418,x18419,x18411),f440(x18413,x18414,x18415,x18416,x18417,x18418,x18419,x18412))
% 199.29/199.25 [1842]~E(x18421,x18422)+E(f533(x18421,x18423,x18424,x18425,x18426,x18427),f533(x18422,x18423,x18424,x18425,x18426,x18427))
% 199.29/199.25 [1843]~E(x18431,x18432)+E(f533(x18433,x18431,x18434,x18435,x18436,x18437),f533(x18433,x18432,x18434,x18435,x18436,x18437))
% 199.29/199.25 [1844]~E(x18441,x18442)+E(f533(x18443,x18444,x18441,x18445,x18446,x18447),f533(x18443,x18444,x18442,x18445,x18446,x18447))
% 199.29/199.25 [1845]~E(x18451,x18452)+E(f533(x18453,x18454,x18455,x18451,x18456,x18457),f533(x18453,x18454,x18455,x18452,x18456,x18457))
% 199.29/199.25 [1846]~E(x18461,x18462)+E(f533(x18463,x18464,x18465,x18466,x18461,x18467),f533(x18463,x18464,x18465,x18466,x18462,x18467))
% 199.29/199.25 [1847]~E(x18471,x18472)+E(f533(x18473,x18474,x18475,x18476,x18477,x18471),f533(x18473,x18474,x18475,x18476,x18477,x18472))
% 199.29/199.25 [1848]~E(x18481,x18482)+E(f476(x18481,x18483,x18484,x18485,x18486),f476(x18482,x18483,x18484,x18485,x18486))
% 199.29/199.25 [1849]~E(x18491,x18492)+E(f476(x18493,x18491,x18494,x18495,x18496),f476(x18493,x18492,x18494,x18495,x18496))
% 199.29/199.25 [1850]~E(x18501,x18502)+E(f476(x18503,x18504,x18501,x18505,x18506),f476(x18503,x18504,x18502,x18505,x18506))
% 199.29/199.25 [1851]~E(x18511,x18512)+E(f476(x18513,x18514,x18515,x18511,x18516),f476(x18513,x18514,x18515,x18512,x18516))
% 199.29/199.25 [1852]~E(x18521,x18522)+E(f476(x18523,x18524,x18525,x18526,x18521),f476(x18523,x18524,x18525,x18526,x18522))
% 199.29/199.25 [1853]~E(x18531,x18532)+E(f195(x18531),f195(x18532))
% 199.29/199.25 [1854]~E(x18541,x18542)+E(f508(x18541,x18543,x18544,x18545),f508(x18542,x18543,x18544,x18545))
% 199.29/199.25 [1855]~E(x18551,x18552)+E(f508(x18553,x18551,x18554,x18555),f508(x18553,x18552,x18554,x18555))
% 199.29/199.25 [1856]~E(x18561,x18562)+E(f508(x18563,x18564,x18561,x18565),f508(x18563,x18564,x18562,x18565))
% 199.29/199.25 [1857]~E(x18571,x18572)+E(f508(x18573,x18574,x18575,x18571),f508(x18573,x18574,x18575,x18572))
% 199.29/199.25 [1858]~E(x18581,x18582)+E(f37(x18581),f37(x18582))
% 199.29/199.25 [1859]~E(x18591,x18592)+E(f68(x18591,x18593),f68(x18592,x18593))
% 199.29/199.25 [1860]~E(x18601,x18602)+E(f68(x18603,x18601),f68(x18603,x18602))
% 199.29/199.25 [1861]~E(x18611,x18612)+E(f838(x18611,x18613,x18614,x18615),f838(x18612,x18613,x18614,x18615))
% 199.29/199.25 [1862]~E(x18621,x18622)+E(f838(x18623,x18621,x18624,x18625),f838(x18623,x18622,x18624,x18625))
% 199.29/199.25 [1863]~E(x18631,x18632)+E(f838(x18633,x18634,x18631,x18635),f838(x18633,x18634,x18632,x18635))
% 199.29/199.25 [1864]~E(x18641,x18642)+E(f838(x18643,x18644,x18645,x18641),f838(x18643,x18644,x18645,x18642))
% 199.29/199.25 [1865]~E(x18651,x18652)+E(f117(x18651,x18653,x18654,x18655,x18656),f117(x18652,x18653,x18654,x18655,x18656))
% 199.29/199.25 [1866]~E(x18661,x18662)+E(f117(x18663,x18661,x18664,x18665,x18666),f117(x18663,x18662,x18664,x18665,x18666))
% 199.29/199.25 [1867]~E(x18671,x18672)+E(f117(x18673,x18674,x18671,x18675,x18676),f117(x18673,x18674,x18672,x18675,x18676))
% 199.29/199.25 [1868]~E(x18681,x18682)+E(f117(x18683,x18684,x18685,x18681,x18686),f117(x18683,x18684,x18685,x18682,x18686))
% 199.29/199.25 [1869]~E(x18691,x18692)+E(f117(x18693,x18694,x18695,x18696,x18691),f117(x18693,x18694,x18695,x18696,x18692))
% 199.29/199.25 [1870]~E(x18701,x18702)+E(f412(x18701,x18703),f412(x18702,x18703))
% 199.29/199.25 [1871]~E(x18711,x18712)+E(f412(x18713,x18711),f412(x18713,x18712))
% 199.29/199.25 [1872]~E(x18721,x18722)+E(f759(x18721,x18723,x18724,x18725),f759(x18722,x18723,x18724,x18725))
% 199.29/199.25 [1873]~E(x18731,x18732)+E(f759(x18733,x18731,x18734,x18735),f759(x18733,x18732,x18734,x18735))
% 199.29/199.25 [1874]~E(x18741,x18742)+E(f759(x18743,x18744,x18741,x18745),f759(x18743,x18744,x18742,x18745))
% 199.29/199.25 [1875]~E(x18751,x18752)+E(f759(x18753,x18754,x18755,x18751),f759(x18753,x18754,x18755,x18752))
% 199.29/199.25 [1876]~E(x18761,x18762)+E(f587(x18761,x18763,x18764),f587(x18762,x18763,x18764))
% 199.29/199.25 [1877]~E(x18771,x18772)+E(f587(x18773,x18771,x18774),f587(x18773,x18772,x18774))
% 199.29/199.25 [1878]~E(x18781,x18782)+E(f587(x18783,x18784,x18781),f587(x18783,x18784,x18782))
% 199.29/199.25 [1879]~E(x18791,x18792)+E(f608(x18791,x18793,x18794,x18795,x18796),f608(x18792,x18793,x18794,x18795,x18796))
% 199.29/199.25 [1880]~E(x18801,x18802)+E(f608(x18803,x18801,x18804,x18805,x18806),f608(x18803,x18802,x18804,x18805,x18806))
% 199.29/199.25 [1881]~E(x18811,x18812)+E(f608(x18813,x18814,x18811,x18815,x18816),f608(x18813,x18814,x18812,x18815,x18816))
% 199.29/199.25 [1882]~E(x18821,x18822)+E(f608(x18823,x18824,x18825,x18821,x18826),f608(x18823,x18824,x18825,x18822,x18826))
% 199.29/199.25 [1883]~E(x18831,x18832)+E(f608(x18833,x18834,x18835,x18836,x18831),f608(x18833,x18834,x18835,x18836,x18832))
% 199.29/199.25 [1884]~E(x18841,x18842)+E(f794(x18841,x18843,x18844,x18845,x18846),f794(x18842,x18843,x18844,x18845,x18846))
% 199.29/199.25 [1885]~E(x18851,x18852)+E(f794(x18853,x18851,x18854,x18855,x18856),f794(x18853,x18852,x18854,x18855,x18856))
% 199.29/199.25 [1886]~E(x18861,x18862)+E(f794(x18863,x18864,x18861,x18865,x18866),f794(x18863,x18864,x18862,x18865,x18866))
% 199.29/199.25 [1887]~E(x18871,x18872)+E(f794(x18873,x18874,x18875,x18871,x18876),f794(x18873,x18874,x18875,x18872,x18876))
% 199.29/199.25 [1888]~E(x18881,x18882)+E(f794(x18883,x18884,x18885,x18886,x18881),f794(x18883,x18884,x18885,x18886,x18882))
% 199.29/199.25 [1889]~E(x18891,x18892)+E(f548(x18891,x18893,x18894,x18895),f548(x18892,x18893,x18894,x18895))
% 199.29/199.25 [1890]~E(x18901,x18902)+E(f548(x18903,x18901,x18904,x18905),f548(x18903,x18902,x18904,x18905))
% 199.29/199.25 [1891]~E(x18911,x18912)+E(f548(x18913,x18914,x18911,x18915),f548(x18913,x18914,x18912,x18915))
% 199.29/199.25 [1892]~E(x18921,x18922)+E(f548(x18923,x18924,x18925,x18921),f548(x18923,x18924,x18925,x18922))
% 199.29/199.25 [1893]~E(x18931,x18932)+E(f756(x18931,x18933,x18934,x18935),f756(x18932,x18933,x18934,x18935))
% 199.29/199.25 [1894]~E(x18941,x18942)+E(f756(x18943,x18941,x18944,x18945),f756(x18943,x18942,x18944,x18945))
% 199.29/199.25 [1895]~E(x18951,x18952)+E(f756(x18953,x18954,x18951,x18955),f756(x18953,x18954,x18952,x18955))
% 199.29/199.25 [1896]~E(x18961,x18962)+E(f756(x18963,x18964,x18965,x18961),f756(x18963,x18964,x18965,x18962))
% 199.29/199.25 [1897]~E(x18971,x18972)+E(f36(x18971),f36(x18972))
% 199.29/199.25 [1898]~E(x18981,x18982)+E(f481(x18981,x18983,x18984,x18985,x18986),f481(x18982,x18983,x18984,x18985,x18986))
% 199.29/199.25 [1899]~E(x18991,x18992)+E(f481(x18993,x18991,x18994,x18995,x18996),f481(x18993,x18992,x18994,x18995,x18996))
% 199.29/199.25 [1900]~E(x19001,x19002)+E(f481(x19003,x19004,x19001,x19005,x19006),f481(x19003,x19004,x19002,x19005,x19006))
% 199.29/199.25 [1901]~E(x19011,x19012)+E(f481(x19013,x19014,x19015,x19011,x19016),f481(x19013,x19014,x19015,x19012,x19016))
% 199.29/199.25 [1902]~E(x19021,x19022)+E(f481(x19023,x19024,x19025,x19026,x19021),f481(x19023,x19024,x19025,x19026,x19022))
% 199.29/199.25 [1903]~E(x19031,x19032)+E(f786(x19031,x19033),f786(x19032,x19033))
% 199.29/199.25 [1904]~E(x19041,x19042)+E(f786(x19043,x19041),f786(x19043,x19042))
% 199.29/199.25 [1905]~E(x19051,x19052)+E(f365(x19051,x19053,x19054),f365(x19052,x19053,x19054))
% 199.29/199.25 [1906]~E(x19061,x19062)+E(f365(x19063,x19061,x19064),f365(x19063,x19062,x19064))
% 199.29/199.25 [1907]~E(x19071,x19072)+E(f365(x19073,x19074,x19071),f365(x19073,x19074,x19072))
% 199.29/199.25 [1908]~E(x19081,x19082)+E(f676(x19081,x19083,x19084,x19085,x19086),f676(x19082,x19083,x19084,x19085,x19086))
% 199.29/199.25 [1909]~E(x19091,x19092)+E(f676(x19093,x19091,x19094,x19095,x19096),f676(x19093,x19092,x19094,x19095,x19096))
% 199.29/199.25 [1910]~E(x19101,x19102)+E(f676(x19103,x19104,x19101,x19105,x19106),f676(x19103,x19104,x19102,x19105,x19106))
% 199.29/199.25 [1911]~E(x19111,x19112)+E(f676(x19113,x19114,x19115,x19111,x19116),f676(x19113,x19114,x19115,x19112,x19116))
% 199.29/199.25 [1912]~E(x19121,x19122)+E(f676(x19123,x19124,x19125,x19126,x19121),f676(x19123,x19124,x19125,x19126,x19122))
% 199.29/199.25 [1913]~E(x19131,x19132)+E(f192(x19131),f192(x19132))
% 199.29/199.25 [1914]~E(x19141,x19142)+E(f706(x19141,x19143,x19144,x19145),f706(x19142,x19143,x19144,x19145))
% 199.29/199.25 [1915]~E(x19151,x19152)+E(f706(x19153,x19151,x19154,x19155),f706(x19153,x19152,x19154,x19155))
% 199.29/199.25 [1916]~E(x19161,x19162)+E(f706(x19163,x19164,x19161,x19165),f706(x19163,x19164,x19162,x19165))
% 199.29/199.25 [1917]~E(x19171,x19172)+E(f706(x19173,x19174,x19175,x19171),f706(x19173,x19174,x19175,x19172))
% 199.29/199.25 [1918]~E(x19181,x19182)+E(f801(x19181,x19183,x19184),f801(x19182,x19183,x19184))
% 199.29/199.25 [1919]~E(x19191,x19192)+E(f801(x19193,x19191,x19194),f801(x19193,x19192,x19194))
% 199.29/199.25 [1920]~E(x19201,x19202)+E(f801(x19203,x19204,x19201),f801(x19203,x19204,x19202))
% 199.29/199.25 [1921]~E(x19211,x19212)+E(f549(x19211,x19213),f549(x19212,x19213))
% 199.29/199.25 [1922]~E(x19221,x19222)+E(f549(x19223,x19221),f549(x19223,x19222))
% 199.29/199.25 [1923]~E(x19231,x19232)+E(f193(x19231,x19233),f193(x19232,x19233))
% 199.29/199.25 [1924]~E(x19241,x19242)+E(f193(x19243,x19241),f193(x19243,x19242))
% 199.29/199.25 [1925]~E(x19251,x19252)+E(f194(x19251,x19253,x19254),f194(x19252,x19253,x19254))
% 199.29/199.25 [1926]~E(x19261,x19262)+E(f194(x19263,x19261,x19264),f194(x19263,x19262,x19264))
% 199.29/199.25 [1927]~E(x19271,x19272)+E(f194(x19273,x19274,x19271),f194(x19273,x19274,x19272))
% 199.29/199.25 [1928]~E(x19281,x19282)+E(f664(x19281,x19283),f664(x19282,x19283))
% 199.29/199.25 [1929]~E(x19291,x19292)+E(f664(x19293,x19291),f664(x19293,x19292))
% 199.29/199.25 [1930]~E(x19301,x19302)+E(f463(x19301,x19303,x19304,x19305,x19306,x19307),f463(x19302,x19303,x19304,x19305,x19306,x19307))
% 199.29/199.25 [1931]~E(x19311,x19312)+E(f463(x19313,x19311,x19314,x19315,x19316,x19317),f463(x19313,x19312,x19314,x19315,x19316,x19317))
% 199.29/199.25 [1932]~E(x19321,x19322)+E(f463(x19323,x19324,x19321,x19325,x19326,x19327),f463(x19323,x19324,x19322,x19325,x19326,x19327))
% 199.29/199.25 [1933]~E(x19331,x19332)+E(f463(x19333,x19334,x19335,x19331,x19336,x19337),f463(x19333,x19334,x19335,x19332,x19336,x19337))
% 199.29/199.25 [1934]~E(x19341,x19342)+E(f463(x19343,x19344,x19345,x19346,x19341,x19347),f463(x19343,x19344,x19345,x19346,x19342,x19347))
% 199.29/199.25 [1935]~E(x19351,x19352)+E(f463(x19353,x19354,x19355,x19356,x19357,x19351),f463(x19353,x19354,x19355,x19356,x19357,x19352))
% 199.29/199.25 [1936]~E(x19361,x19362)+E(f265(x19361,x19363),f265(x19362,x19363))
% 199.29/199.25 [1937]~E(x19371,x19372)+E(f265(x19373,x19371),f265(x19373,x19372))
% 199.29/199.25 [1938]~E(x19381,x19382)+E(f478(x19381,x19383,x19384,x19385,x19386),f478(x19382,x19383,x19384,x19385,x19386))
% 199.29/199.25 [1939]~E(x19391,x19392)+E(f478(x19393,x19391,x19394,x19395,x19396),f478(x19393,x19392,x19394,x19395,x19396))
% 199.29/199.25 [1940]~E(x19401,x19402)+E(f478(x19403,x19404,x19401,x19405,x19406),f478(x19403,x19404,x19402,x19405,x19406))
% 199.29/199.25 [1941]~E(x19411,x19412)+E(f478(x19413,x19414,x19415,x19411,x19416),f478(x19413,x19414,x19415,x19412,x19416))
% 199.29/199.25 [1942]~E(x19421,x19422)+E(f478(x19423,x19424,x19425,x19426,x19421),f478(x19423,x19424,x19425,x19426,x19422))
% 199.29/199.25 [1943]~E(x19431,x19432)+E(f667(x19431,x19433,x19434,x19435),f667(x19432,x19433,x19434,x19435))
% 199.29/199.25 [1944]~E(x19441,x19442)+E(f667(x19443,x19441,x19444,x19445),f667(x19443,x19442,x19444,x19445))
% 199.29/199.25 [1945]~E(x19451,x19452)+E(f667(x19453,x19454,x19451,x19455),f667(x19453,x19454,x19452,x19455))
% 199.29/199.25 [1946]~E(x19461,x19462)+E(f667(x19463,x19464,x19465,x19461),f667(x19463,x19464,x19465,x19462))
% 199.29/199.25 [1947]~E(x19471,x19472)+E(f633(x19471,x19473,x19474,x19475,x19476),f633(x19472,x19473,x19474,x19475,x19476))
% 199.29/199.25 [1948]~E(x19481,x19482)+E(f633(x19483,x19481,x19484,x19485,x19486),f633(x19483,x19482,x19484,x19485,x19486))
% 199.29/199.25 [1949]~E(x19491,x19492)+E(f633(x19493,x19494,x19491,x19495,x19496),f633(x19493,x19494,x19492,x19495,x19496))
% 199.29/199.25 [1950]~E(x19501,x19502)+E(f633(x19503,x19504,x19505,x19501,x19506),f633(x19503,x19504,x19505,x19502,x19506))
% 199.29/199.25 [1951]~E(x19511,x19512)+E(f633(x19513,x19514,x19515,x19516,x19511),f633(x19513,x19514,x19515,x19516,x19512))
% 199.29/199.25 [1952]~E(x19521,x19522)+E(f699(x19521,x19523,x19524),f699(x19522,x19523,x19524))
% 199.29/199.25 [1953]~E(x19531,x19532)+E(f699(x19533,x19531,x19534),f699(x19533,x19532,x19534))
% 199.29/199.25 [1954]~E(x19541,x19542)+E(f699(x19543,x19544,x19541),f699(x19543,x19544,x19542))
% 199.29/199.25 [1955]~E(x19551,x19552)+E(f222(x19551,x19553,x19554,x19555),f222(x19552,x19553,x19554,x19555))
% 199.29/199.25 [1956]~E(x19561,x19562)+E(f222(x19563,x19561,x19564,x19565),f222(x19563,x19562,x19564,x19565))
% 199.29/199.25 [1957]~E(x19571,x19572)+E(f222(x19573,x19574,x19571,x19575),f222(x19573,x19574,x19572,x19575))
% 199.29/199.25 [1958]~E(x19581,x19582)+E(f222(x19583,x19584,x19585,x19581),f222(x19583,x19584,x19585,x19582))
% 199.29/199.25 [1959]~E(x19591,x19592)+E(f487(x19591,x19593,x19594),f487(x19592,x19593,x19594))
% 199.29/199.25 [1960]~E(x19601,x19602)+E(f487(x19603,x19601,x19604),f487(x19603,x19602,x19604))
% 199.29/199.25 [1961]~E(x19611,x19612)+E(f487(x19613,x19614,x19611),f487(x19613,x19614,x19612))
% 199.29/199.25 [1962]~E(x19621,x19622)+E(f366(x19621),f366(x19622))
% 199.29/199.25 [1963]~E(x19631,x19632)+E(f555(x19631,x19633,x19634,x19635),f555(x19632,x19633,x19634,x19635))
% 199.29/199.25 [1964]~E(x19641,x19642)+E(f555(x19643,x19641,x19644,x19645),f555(x19643,x19642,x19644,x19645))
% 199.29/199.25 [1965]~E(x19651,x19652)+E(f555(x19653,x19654,x19651,x19655),f555(x19653,x19654,x19652,x19655))
% 199.29/199.25 [1966]~E(x19661,x19662)+E(f555(x19663,x19664,x19665,x19661),f555(x19663,x19664,x19665,x19662))
% 199.29/199.25 [1967]~E(x19671,x19672)+E(f668(x19671,x19673,x19674,x19675),f668(x19672,x19673,x19674,x19675))
% 199.29/199.25 [1968]~E(x19681,x19682)+E(f668(x19683,x19681,x19684,x19685),f668(x19683,x19682,x19684,x19685))
% 199.29/199.25 [1969]~E(x19691,x19692)+E(f668(x19693,x19694,x19691,x19695),f668(x19693,x19694,x19692,x19695))
% 199.29/199.25 [1970]~E(x19701,x19702)+E(f668(x19703,x19704,x19705,x19701),f668(x19703,x19704,x19705,x19702))
% 199.29/199.25 [1971]~E(x19711,x19712)+E(f600(x19711,x19713,x19714,x19715,x19716),f600(x19712,x19713,x19714,x19715,x19716))
% 199.29/199.25 [1972]~E(x19721,x19722)+E(f600(x19723,x19721,x19724,x19725,x19726),f600(x19723,x19722,x19724,x19725,x19726))
% 199.29/199.25 [1973]~E(x19731,x19732)+E(f600(x19733,x19734,x19731,x19735,x19736),f600(x19733,x19734,x19732,x19735,x19736))
% 199.29/199.25 [1974]~E(x19741,x19742)+E(f600(x19743,x19744,x19745,x19741,x19746),f600(x19743,x19744,x19745,x19742,x19746))
% 199.29/199.25 [1975]~E(x19751,x19752)+E(f600(x19753,x19754,x19755,x19756,x19751),f600(x19753,x19754,x19755,x19756,x19752))
% 199.29/199.25 [1976]~E(x19761,x19762)+E(f736(x19761,x19763),f736(x19762,x19763))
% 199.29/199.25 [1977]~E(x19771,x19772)+E(f736(x19773,x19771),f736(x19773,x19772))
% 199.29/199.25 [1978]~E(x19781,x19782)+E(f854(x19781,x19783,x19784),f854(x19782,x19783,x19784))
% 199.29/199.25 [1979]~E(x19791,x19792)+E(f854(x19793,x19791,x19794),f854(x19793,x19792,x19794))
% 199.29/199.25 [1980]~E(x19801,x19802)+E(f854(x19803,x19804,x19801),f854(x19803,x19804,x19802))
% 199.29/199.25 [1981]~E(x19811,x19812)+E(f527(x19811,x19813,x19814),f527(x19812,x19813,x19814))
% 199.29/199.25 [1982]~E(x19821,x19822)+E(f527(x19823,x19821,x19824),f527(x19823,x19822,x19824))
% 199.29/199.25 [1983]~E(x19831,x19832)+E(f527(x19833,x19834,x19831),f527(x19833,x19834,x19832))
% 199.29/199.25 [1984]~E(x19841,x19842)+E(f453(x19841,x19843,x19844,x19845),f453(x19842,x19843,x19844,x19845))
% 199.29/199.25 [1985]~E(x19851,x19852)+E(f453(x19853,x19851,x19854,x19855),f453(x19853,x19852,x19854,x19855))
% 199.29/199.25 [1986]~E(x19861,x19862)+E(f453(x19863,x19864,x19861,x19865),f453(x19863,x19864,x19862,x19865))
% 199.29/199.25 [1987]~E(x19871,x19872)+E(f453(x19873,x19874,x19875,x19871),f453(x19873,x19874,x19875,x19872))
% 199.29/199.25 [1988]~E(x19881,x19882)+E(f572(x19881,x19883,x19884),f572(x19882,x19883,x19884))
% 199.29/199.25 [1989]~E(x19891,x19892)+E(f572(x19893,x19891,x19894),f572(x19893,x19892,x19894))
% 199.29/199.25 [1990]~E(x19901,x19902)+E(f572(x19903,x19904,x19901),f572(x19903,x19904,x19902))
% 199.29/199.25 [1991]~E(x19911,x19912)+E(f221(x19911,x19913,x19914),f221(x19912,x19913,x19914))
% 199.29/199.25 [1992]~E(x19921,x19922)+E(f221(x19923,x19921,x19924),f221(x19923,x19922,x19924))
% 199.29/199.25 [1993]~E(x19931,x19932)+E(f221(x19933,x19934,x19931),f221(x19933,x19934,x19932))
% 199.29/199.25 [1994]~E(x19941,x19942)+E(f816(x19941,x19943,x19944,x19945,x19946),f816(x19942,x19943,x19944,x19945,x19946))
% 199.29/199.25 [1995]~E(x19951,x19952)+E(f816(x19953,x19951,x19954,x19955,x19956),f816(x19953,x19952,x19954,x19955,x19956))
% 199.29/199.25 [1996]~E(x19961,x19962)+E(f816(x19963,x19964,x19961,x19965,x19966),f816(x19963,x19964,x19962,x19965,x19966))
% 199.29/199.25 [1997]~E(x19971,x19972)+E(f816(x19973,x19974,x19975,x19971,x19976),f816(x19973,x19974,x19975,x19972,x19976))
% 199.29/199.25 [1998]~E(x19981,x19982)+E(f816(x19983,x19984,x19985,x19986,x19981),f816(x19983,x19984,x19985,x19986,x19982))
% 199.29/199.25 [1999]~E(x19991,x19992)+E(f853(x19991,x19993,x19994),f853(x19992,x19993,x19994))
% 199.29/199.25 [2000]~E(x20001,x20002)+E(f853(x20003,x20001,x20004),f853(x20003,x20002,x20004))
% 199.29/199.25 [2001]~E(x20011,x20012)+E(f853(x20013,x20014,x20011),f853(x20013,x20014,x20012))
% 199.29/199.25 [2002]~E(x20021,x20022)+E(f518(x20021,x20023,x20024,x20025,x20026),f518(x20022,x20023,x20024,x20025,x20026))
% 199.29/199.25 [2003]~E(x20031,x20032)+E(f518(x20033,x20031,x20034,x20035,x20036),f518(x20033,x20032,x20034,x20035,x20036))
% 199.29/199.25 [2004]~E(x20041,x20042)+E(f518(x20043,x20044,x20041,x20045,x20046),f518(x20043,x20044,x20042,x20045,x20046))
% 199.29/199.25 [2005]~E(x20051,x20052)+E(f518(x20053,x20054,x20055,x20051,x20056),f518(x20053,x20054,x20055,x20052,x20056))
% 199.29/199.25 [2006]~E(x20061,x20062)+E(f518(x20063,x20064,x20065,x20066,x20061),f518(x20063,x20064,x20065,x20066,x20062))
% 199.29/199.25 [2007]~E(x20071,x20072)+E(f588(x20071,x20073,x20074,x20075,x20076,x20077),f588(x20072,x20073,x20074,x20075,x20076,x20077))
% 199.29/199.25 [2008]~E(x20081,x20082)+E(f588(x20083,x20081,x20084,x20085,x20086,x20087),f588(x20083,x20082,x20084,x20085,x20086,x20087))
% 199.29/199.25 [2009]~E(x20091,x20092)+E(f588(x20093,x20094,x20091,x20095,x20096,x20097),f588(x20093,x20094,x20092,x20095,x20096,x20097))
% 199.29/199.25 [2010]~E(x20101,x20102)+E(f588(x20103,x20104,x20105,x20101,x20106,x20107),f588(x20103,x20104,x20105,x20102,x20106,x20107))
% 199.29/199.25 [2011]~E(x20111,x20112)+E(f588(x20113,x20114,x20115,x20116,x20111,x20117),f588(x20113,x20114,x20115,x20116,x20112,x20117))
% 199.29/199.25 [2012]~E(x20121,x20122)+E(f588(x20123,x20124,x20125,x20126,x20127,x20121),f588(x20123,x20124,x20125,x20126,x20127,x20122))
% 199.29/199.25 [2013]~E(x20131,x20132)+E(f625(x20131,x20133,x20134,x20135),f625(x20132,x20133,x20134,x20135))
% 199.29/199.25 [2014]~E(x20141,x20142)+E(f625(x20143,x20141,x20144,x20145),f625(x20143,x20142,x20144,x20145))
% 199.29/199.25 [2015]~E(x20151,x20152)+E(f625(x20153,x20154,x20151,x20155),f625(x20153,x20154,x20152,x20155))
% 199.29/199.25 [2016]~E(x20161,x20162)+E(f625(x20163,x20164,x20165,x20161),f625(x20163,x20164,x20165,x20162))
% 199.29/199.25 [2017]~E(x20171,x20172)+E(f669(x20171,x20173,x20174,x20175),f669(x20172,x20173,x20174,x20175))
% 199.29/199.25 [2018]~E(x20181,x20182)+E(f669(x20183,x20181,x20184,x20185),f669(x20183,x20182,x20184,x20185))
% 199.29/199.25 [2019]~E(x20191,x20192)+E(f669(x20193,x20194,x20191,x20195),f669(x20193,x20194,x20192,x20195))
% 199.29/199.25 [2020]~E(x20201,x20202)+E(f669(x20203,x20204,x20205,x20201),f669(x20203,x20204,x20205,x20202))
% 199.29/199.25 [2021]~E(x20211,x20212)+E(f486(x20211,x20213,x20214,x20215,x20216),f486(x20212,x20213,x20214,x20215,x20216))
% 199.29/199.25 [2022]~E(x20221,x20222)+E(f486(x20223,x20221,x20224,x20225,x20226),f486(x20223,x20222,x20224,x20225,x20226))
% 199.29/199.25 [2023]~E(x20231,x20232)+E(f486(x20233,x20234,x20231,x20235,x20236),f486(x20233,x20234,x20232,x20235,x20236))
% 199.29/199.25 [2024]~E(x20241,x20242)+E(f486(x20243,x20244,x20245,x20241,x20246),f486(x20243,x20244,x20245,x20242,x20246))
% 199.29/199.25 [2025]~E(x20251,x20252)+E(f486(x20253,x20254,x20255,x20256,x20251),f486(x20253,x20254,x20255,x20256,x20252))
% 199.29/199.25 [2026]~E(x20261,x20262)+E(f823(x20261,x20263,x20264,x20265,x20266,x20267,x20268,x20269),f823(x20262,x20263,x20264,x20265,x20266,x20267,x20268,x20269))
% 199.29/199.25 [2027]~E(x20271,x20272)+E(f823(x20273,x20271,x20274,x20275,x20276,x20277,x20278,x20279),f823(x20273,x20272,x20274,x20275,x20276,x20277,x20278,x20279))
% 199.29/199.25 [2028]~E(x20281,x20282)+E(f823(x20283,x20284,x20281,x20285,x20286,x20287,x20288,x20289),f823(x20283,x20284,x20282,x20285,x20286,x20287,x20288,x20289))
% 199.29/199.25 [2029]~E(x20291,x20292)+E(f823(x20293,x20294,x20295,x20291,x20296,x20297,x20298,x20299),f823(x20293,x20294,x20295,x20292,x20296,x20297,x20298,x20299))
% 199.29/199.25 [2030]~E(x20301,x20302)+E(f823(x20303,x20304,x20305,x20306,x20301,x20307,x20308,x20309),f823(x20303,x20304,x20305,x20306,x20302,x20307,x20308,x20309))
% 199.29/199.25 [2031]~E(x20311,x20312)+E(f823(x20313,x20314,x20315,x20316,x20317,x20311,x20318,x20319),f823(x20313,x20314,x20315,x20316,x20317,x20312,x20318,x20319))
% 199.29/199.25 [2032]~E(x20321,x20322)+E(f823(x20323,x20324,x20325,x20326,x20327,x20328,x20321,x20329),f823(x20323,x20324,x20325,x20326,x20327,x20328,x20322,x20329))
% 199.29/199.25 [2033]~E(x20331,x20332)+E(f823(x20333,x20334,x20335,x20336,x20337,x20338,x20339,x20331),f823(x20333,x20334,x20335,x20336,x20337,x20338,x20339,x20332))
% 199.29/199.25 [2034]~E(x20341,x20342)+E(f337(x20341,x20343,x20344,x20345),f337(x20342,x20343,x20344,x20345))
% 199.29/199.25 [2035]~E(x20351,x20352)+E(f337(x20353,x20351,x20354,x20355),f337(x20353,x20352,x20354,x20355))
% 199.29/199.25 [2036]~E(x20361,x20362)+E(f337(x20363,x20364,x20361,x20365),f337(x20363,x20364,x20362,x20365))
% 199.29/199.25 [2037]~E(x20371,x20372)+E(f337(x20373,x20374,x20375,x20371),f337(x20373,x20374,x20375,x20372))
% 199.29/199.25 [2038]~E(x20381,x20382)+E(f113(x20381),f113(x20382))
% 199.29/199.25 [2039]~E(x20391,x20392)+E(f610(x20391,x20393,x20394),f610(x20392,x20393,x20394))
% 199.29/199.25 [2040]~E(x20401,x20402)+E(f610(x20403,x20401,x20404),f610(x20403,x20402,x20404))
% 199.29/199.25 [2041]~E(x20411,x20412)+E(f610(x20413,x20414,x20411),f610(x20413,x20414,x20412))
% 199.29/199.25 [2042]~E(x20421,x20422)+E(f553(x20421,x20423),f553(x20422,x20423))
% 199.29/199.25 [2043]~E(x20431,x20432)+E(f553(x20433,x20431),f553(x20433,x20432))
% 199.29/199.25 [2044]~E(x20441,x20442)+E(f876(x20441,x20443,x20444,x20445,x20446),f876(x20442,x20443,x20444,x20445,x20446))
% 199.29/199.25 [2045]~E(x20451,x20452)+E(f876(x20453,x20451,x20454,x20455,x20456),f876(x20453,x20452,x20454,x20455,x20456))
% 199.29/199.25 [2046]~E(x20461,x20462)+E(f876(x20463,x20464,x20461,x20465,x20466),f876(x20463,x20464,x20462,x20465,x20466))
% 199.29/199.25 [2047]~E(x20471,x20472)+E(f876(x20473,x20474,x20475,x20471,x20476),f876(x20473,x20474,x20475,x20472,x20476))
% 199.29/199.25 [2048]~E(x20481,x20482)+E(f876(x20483,x20484,x20485,x20486,x20481),f876(x20483,x20484,x20485,x20486,x20482))
% 199.29/199.25 [2049]~E(x20491,x20492)+E(f827(x20491,x20493,x20494,x20495,x20496,x20497,x20498),f827(x20492,x20493,x20494,x20495,x20496,x20497,x20498))
% 199.29/199.25 [2050]~E(x20501,x20502)+E(f827(x20503,x20501,x20504,x20505,x20506,x20507,x20508),f827(x20503,x20502,x20504,x20505,x20506,x20507,x20508))
% 199.29/199.25 [2051]~E(x20511,x20512)+E(f827(x20513,x20514,x20511,x20515,x20516,x20517,x20518),f827(x20513,x20514,x20512,x20515,x20516,x20517,x20518))
% 199.29/199.25 [2052]~E(x20521,x20522)+E(f827(x20523,x20524,x20525,x20521,x20526,x20527,x20528),f827(x20523,x20524,x20525,x20522,x20526,x20527,x20528))
% 199.29/199.25 [2053]~E(x20531,x20532)+E(f827(x20533,x20534,x20535,x20536,x20531,x20537,x20538),f827(x20533,x20534,x20535,x20536,x20532,x20537,x20538))
% 199.29/199.25 [2054]~E(x20541,x20542)+E(f827(x20543,x20544,x20545,x20546,x20547,x20541,x20548),f827(x20543,x20544,x20545,x20546,x20547,x20542,x20548))
% 199.29/199.25 [2055]~E(x20551,x20552)+E(f827(x20553,x20554,x20555,x20556,x20557,x20558,x20551),f827(x20553,x20554,x20555,x20556,x20557,x20558,x20552))
% 199.29/199.25 [2056]~E(x20561,x20562)+E(f662(x20561,x20563,x20564,x20565,x20566),f662(x20562,x20563,x20564,x20565,x20566))
% 199.29/199.25 [2057]~E(x20571,x20572)+E(f662(x20573,x20571,x20574,x20575,x20576),f662(x20573,x20572,x20574,x20575,x20576))
% 199.29/199.25 [2058]~E(x20581,x20582)+E(f662(x20583,x20584,x20581,x20585,x20586),f662(x20583,x20584,x20582,x20585,x20586))
% 199.29/199.25 [2059]~E(x20591,x20592)+E(f662(x20593,x20594,x20595,x20591,x20596),f662(x20593,x20594,x20595,x20592,x20596))
% 199.29/199.25 [2060]~E(x20601,x20602)+E(f662(x20603,x20604,x20605,x20606,x20601),f662(x20603,x20604,x20605,x20606,x20602))
% 199.29/199.25 [2061]~E(x20611,x20612)+E(f561(x20611,x20613,x20614),f561(x20612,x20613,x20614))
% 199.29/199.25 [2062]~E(x20621,x20622)+E(f561(x20623,x20621,x20624),f561(x20623,x20622,x20624))
% 199.29/199.25 [2063]~E(x20631,x20632)+E(f561(x20633,x20634,x20631),f561(x20633,x20634,x20632))
% 199.29/199.25 [2064]~E(x20641,x20642)+E(f835(x20641,x20643,x20644),f835(x20642,x20643,x20644))
% 199.29/199.25 [2065]~E(x20651,x20652)+E(f835(x20653,x20651,x20654),f835(x20653,x20652,x20654))
% 199.29/199.25 [2066]~E(x20661,x20662)+E(f835(x20663,x20664,x20661),f835(x20663,x20664,x20662))
% 199.29/199.25 [2067]~E(x20671,x20672)+E(f355(x20671,x20673,x20674),f355(x20672,x20673,x20674))
% 199.29/199.25 [2068]~E(x20681,x20682)+E(f355(x20683,x20681,x20684),f355(x20683,x20682,x20684))
% 199.29/199.25 [2069]~E(x20691,x20692)+E(f355(x20693,x20694,x20691),f355(x20693,x20694,x20692))
% 199.29/199.25 [2070]~E(x20701,x20702)+E(f563(x20701,x20703,x20704,x20705),f563(x20702,x20703,x20704,x20705))
% 199.29/199.25 [2071]~E(x20711,x20712)+E(f563(x20713,x20711,x20714,x20715),f563(x20713,x20712,x20714,x20715))
% 199.29/199.25 [2072]~E(x20721,x20722)+E(f563(x20723,x20724,x20721,x20725),f563(x20723,x20724,x20722,x20725))
% 199.29/199.25 [2073]~E(x20731,x20732)+E(f563(x20733,x20734,x20735,x20731),f563(x20733,x20734,x20735,x20732))
% 199.29/199.25 [2074]~E(x20741,x20742)+E(f511(x20741,x20743,x20744,x20745),f511(x20742,x20743,x20744,x20745))
% 199.29/199.25 [2075]~E(x20751,x20752)+E(f511(x20753,x20751,x20754,x20755),f511(x20753,x20752,x20754,x20755))
% 199.29/199.25 [2076]~E(x20761,x20762)+E(f511(x20763,x20764,x20761,x20765),f511(x20763,x20764,x20762,x20765))
% 199.29/199.25 [2077]~E(x20771,x20772)+E(f511(x20773,x20774,x20775,x20771),f511(x20773,x20774,x20775,x20772))
% 199.29/199.25 [2078]~E(x20781,x20782)+E(f189(x20781,x20783,x20784,x20785),f189(x20782,x20783,x20784,x20785))
% 199.29/199.25 [2079]~E(x20791,x20792)+E(f189(x20793,x20791,x20794,x20795),f189(x20793,x20792,x20794,x20795))
% 199.29/199.25 [2080]~E(x20801,x20802)+E(f189(x20803,x20804,x20801,x20805),f189(x20803,x20804,x20802,x20805))
% 199.29/199.25 [2081]~E(x20811,x20812)+E(f189(x20813,x20814,x20815,x20811),f189(x20813,x20814,x20815,x20812))
% 199.29/199.25 [2082]~E(x20821,x20822)+E(f612(x20821,x20823,x20824),f612(x20822,x20823,x20824))
% 199.29/199.25 [2083]~E(x20831,x20832)+E(f612(x20833,x20831,x20834),f612(x20833,x20832,x20834))
% 199.29/199.25 [2084]~E(x20841,x20842)+E(f612(x20843,x20844,x20841),f612(x20843,x20844,x20842))
% 199.29/199.25 [2085]~E(x20851,x20852)+E(f449(x20851,x20853,x20854),f449(x20852,x20853,x20854))
% 199.29/199.25 [2086]~E(x20861,x20862)+E(f449(x20863,x20861,x20864),f449(x20863,x20862,x20864))
% 199.29/199.25 [2087]~E(x20871,x20872)+E(f449(x20873,x20874,x20871),f449(x20873,x20874,x20872))
% 199.29/199.25 [2088]~E(x20881,x20882)+E(f833(x20881,x20883,x20884,x20885,x20886,x20887),f833(x20882,x20883,x20884,x20885,x20886,x20887))
% 199.29/199.25 [2089]~E(x20891,x20892)+E(f833(x20893,x20891,x20894,x20895,x20896,x20897),f833(x20893,x20892,x20894,x20895,x20896,x20897))
% 199.29/199.25 [2090]~E(x20901,x20902)+E(f833(x20903,x20904,x20901,x20905,x20906,x20907),f833(x20903,x20904,x20902,x20905,x20906,x20907))
% 199.29/199.25 [2091]~E(x20911,x20912)+E(f833(x20913,x20914,x20915,x20911,x20916,x20917),f833(x20913,x20914,x20915,x20912,x20916,x20917))
% 199.29/199.25 [2092]~E(x20921,x20922)+E(f833(x20923,x20924,x20925,x20926,x20921,x20927),f833(x20923,x20924,x20925,x20926,x20922,x20927))
% 199.29/199.25 [2093]~E(x20931,x20932)+E(f833(x20933,x20934,x20935,x20936,x20937,x20931),f833(x20933,x20934,x20935,x20936,x20937,x20932))
% 199.29/199.25 [2094]~E(x20941,x20942)+E(f883(x20941,x20943,x20944,x20945,x20946),f883(x20942,x20943,x20944,x20945,x20946))
% 199.29/199.25 [2095]~E(x20951,x20952)+E(f883(x20953,x20951,x20954,x20955,x20956),f883(x20953,x20952,x20954,x20955,x20956))
% 199.29/199.25 [2096]~E(x20961,x20962)+E(f883(x20963,x20964,x20961,x20965,x20966),f883(x20963,x20964,x20962,x20965,x20966))
% 199.29/199.25 [2097]~E(x20971,x20972)+E(f883(x20973,x20974,x20975,x20971,x20976),f883(x20973,x20974,x20975,x20972,x20976))
% 199.29/199.25 [2098]~E(x20981,x20982)+E(f883(x20983,x20984,x20985,x20986,x20981),f883(x20983,x20984,x20985,x20986,x20982))
% 199.29/199.25 [2099]~E(x20991,x20992)+E(f237(x20991,x20993,x20994),f237(x20992,x20993,x20994))
% 199.29/199.25 [2100]~E(x21001,x21002)+E(f237(x21003,x21001,x21004),f237(x21003,x21002,x21004))
% 199.29/199.25 [2101]~E(x21011,x21012)+E(f237(x21013,x21014,x21011),f237(x21013,x21014,x21012))
% 199.29/199.25 [2102]~E(x21021,x21022)+E(f566(x21021),f566(x21022))
% 199.29/199.25 [2103]~E(x21031,x21032)+E(f202(x21031,x21033,x21034,x21035,x21036,x21037,x21038),f202(x21032,x21033,x21034,x21035,x21036,x21037,x21038))
% 199.29/199.25 [2104]~E(x21041,x21042)+E(f202(x21043,x21041,x21044,x21045,x21046,x21047,x21048),f202(x21043,x21042,x21044,x21045,x21046,x21047,x21048))
% 199.29/199.25 [2105]~E(x21051,x21052)+E(f202(x21053,x21054,x21051,x21055,x21056,x21057,x21058),f202(x21053,x21054,x21052,x21055,x21056,x21057,x21058))
% 199.29/199.25 [2106]~E(x21061,x21062)+E(f202(x21063,x21064,x21065,x21061,x21066,x21067,x21068),f202(x21063,x21064,x21065,x21062,x21066,x21067,x21068))
% 199.29/199.25 [2107]~E(x21071,x21072)+E(f202(x21073,x21074,x21075,x21076,x21071,x21077,x21078),f202(x21073,x21074,x21075,x21076,x21072,x21077,x21078))
% 199.29/199.25 [2108]~E(x21081,x21082)+E(f202(x21083,x21084,x21085,x21086,x21087,x21081,x21088),f202(x21083,x21084,x21085,x21086,x21087,x21082,x21088))
% 199.29/199.25 [2109]~E(x21091,x21092)+E(f202(x21093,x21094,x21095,x21096,x21097,x21098,x21091),f202(x21093,x21094,x21095,x21096,x21097,x21098,x21092))
% 199.29/199.25 [2110]~E(x21101,x21102)+E(f433(x21101,x21103,x21104,x21105),f433(x21102,x21103,x21104,x21105))
% 199.29/199.25 [2111]~E(x21111,x21112)+E(f433(x21113,x21111,x21114,x21115),f433(x21113,x21112,x21114,x21115))
% 199.29/199.25 [2112]~E(x21121,x21122)+E(f433(x21123,x21124,x21121,x21125),f433(x21123,x21124,x21122,x21125))
% 199.29/199.25 [2113]~E(x21131,x21132)+E(f433(x21133,x21134,x21135,x21131),f433(x21133,x21134,x21135,x21132))
% 199.29/199.25 [2114]~E(x21141,x21142)+E(f635(x21141,x21143,x21144,x21145,x21146,x21147,x21148),f635(x21142,x21143,x21144,x21145,x21146,x21147,x21148))
% 199.29/199.25 [2115]~E(x21151,x21152)+E(f635(x21153,x21151,x21154,x21155,x21156,x21157,x21158),f635(x21153,x21152,x21154,x21155,x21156,x21157,x21158))
% 199.29/199.25 [2116]~E(x21161,x21162)+E(f635(x21163,x21164,x21161,x21165,x21166,x21167,x21168),f635(x21163,x21164,x21162,x21165,x21166,x21167,x21168))
% 199.29/199.25 [2117]~E(x21171,x21172)+E(f635(x21173,x21174,x21175,x21171,x21176,x21177,x21178),f635(x21173,x21174,x21175,x21172,x21176,x21177,x21178))
% 199.29/199.25 [2118]~E(x21181,x21182)+E(f635(x21183,x21184,x21185,x21186,x21181,x21187,x21188),f635(x21183,x21184,x21185,x21186,x21182,x21187,x21188))
% 199.29/199.25 [2119]~E(x21191,x21192)+E(f635(x21193,x21194,x21195,x21196,x21197,x21191,x21198),f635(x21193,x21194,x21195,x21196,x21197,x21192,x21198))
% 199.29/199.25 [2120]~E(x21201,x21202)+E(f635(x21203,x21204,x21205,x21206,x21207,x21208,x21201),f635(x21203,x21204,x21205,x21206,x21207,x21208,x21202))
% 199.29/199.25 [2121]~E(x21211,x21212)+E(f661(x21211,x21213,x21214),f661(x21212,x21213,x21214))
% 199.29/199.25 [2122]~E(x21221,x21222)+E(f661(x21223,x21221,x21224),f661(x21223,x21222,x21224))
% 199.29/199.25 [2123]~E(x21231,x21232)+E(f661(x21233,x21234,x21231),f661(x21233,x21234,x21232))
% 199.29/199.25 [2124]~E(x21241,x21242)+E(f130(x21241,x21243,x21244),f130(x21242,x21243,x21244))
% 199.29/199.25 [2125]~E(x21251,x21252)+E(f130(x21253,x21251,x21254),f130(x21253,x21252,x21254))
% 199.29/199.25 [2126]~E(x21261,x21262)+E(f130(x21263,x21264,x21261),f130(x21263,x21264,x21262))
% 199.29/199.25 [2127]~E(x21271,x21272)+E(f395(x21271,x21273),f395(x21272,x21273))
% 199.29/199.25 [2128]~E(x21281,x21282)+E(f395(x21283,x21281),f395(x21283,x21282))
% 199.29/199.25 [2129]~E(x21291,x21292)+E(f773(x21291,x21293),f773(x21292,x21293))
% 199.29/199.25 [2130]~E(x21301,x21302)+E(f773(x21303,x21301),f773(x21303,x21302))
% 199.29/199.25 [2131]~E(x21311,x21312)+E(f431(x21311,x21313,x21314),f431(x21312,x21313,x21314))
% 199.29/199.25 [2132]~E(x21321,x21322)+E(f431(x21323,x21321,x21324),f431(x21323,x21322,x21324))
% 199.29/199.25 [2133]~E(x21331,x21332)+E(f431(x21333,x21334,x21331),f431(x21333,x21334,x21332))
% 199.29/199.25 [2134]~E(x21341,x21342)+E(f885(x21341,x21343),f885(x21342,x21343))
% 199.29/199.25 [2135]~E(x21351,x21352)+E(f885(x21353,x21351),f885(x21353,x21352))
% 199.29/199.25 [2136]~E(x21361,x21362)+E(f568(x21361,x21363),f568(x21362,x21363))
% 199.29/199.25 [2137]~E(x21371,x21372)+E(f568(x21373,x21371),f568(x21373,x21372))
% 199.29/199.25 [2138]~E(x21381,x21382)+E(f205(x21381,x21383),f205(x21382,x21383))
% 199.29/199.25 [2139]~E(x21391,x21392)+E(f205(x21393,x21391),f205(x21393,x21392))
% 199.29/199.25 [2140]~E(x21401,x21402)+E(f696(x21401,x21403,x21404),f696(x21402,x21403,x21404))
% 199.29/199.25 [2141]~E(x21411,x21412)+E(f696(x21413,x21411,x21414),f696(x21413,x21412,x21414))
% 199.29/199.25 [2142]~E(x21421,x21422)+E(f696(x21423,x21424,x21421),f696(x21423,x21424,x21422))
% 199.29/199.25 [2143]~E(x21431,x21432)+E(f895(x21431,x21433,x21434,x21435,x21436,x21437),f895(x21432,x21433,x21434,x21435,x21436,x21437))
% 199.29/199.25 [2144]~E(x21441,x21442)+E(f895(x21443,x21441,x21444,x21445,x21446,x21447),f895(x21443,x21442,x21444,x21445,x21446,x21447))
% 199.29/199.25 [2145]~E(x21451,x21452)+E(f895(x21453,x21454,x21451,x21455,x21456,x21457),f895(x21453,x21454,x21452,x21455,x21456,x21457))
% 199.29/199.25 [2146]~E(x21461,x21462)+E(f895(x21463,x21464,x21465,x21461,x21466,x21467),f895(x21463,x21464,x21465,x21462,x21466,x21467))
% 199.29/199.25 [2147]~E(x21471,x21472)+E(f895(x21473,x21474,x21475,x21476,x21471,x21477),f895(x21473,x21474,x21475,x21476,x21472,x21477))
% 199.29/199.25 [2148]~E(x21481,x21482)+E(f895(x21483,x21484,x21485,x21486,x21487,x21481),f895(x21483,x21484,x21485,x21486,x21487,x21482))
% 199.29/199.25 [2149]~E(x21491,x21492)+E(f107(x21491,x21493,x21494),f107(x21492,x21493,x21494))
% 199.29/199.25 [2150]~E(x21501,x21502)+E(f107(x21503,x21501,x21504),f107(x21503,x21502,x21504))
% 199.29/199.25 [2151]~E(x21511,x21512)+E(f107(x21513,x21514,x21511),f107(x21513,x21514,x21512))
% 199.29/199.25 [2152]~E(x21521,x21522)+E(f680(x21521,x21523),f680(x21522,x21523))
% 199.29/199.25 [2153]~E(x21531,x21532)+E(f680(x21533,x21531),f680(x21533,x21532))
% 199.29/199.25 [2154]~E(x21541,x21542)+E(f690(x21541,x21543),f690(x21542,x21543))
% 199.29/199.25 [2155]~E(x21551,x21552)+E(f690(x21553,x21551),f690(x21553,x21552))
% 199.29/199.25 [2156]~E(x21561,x21562)+E(f589(x21561,x21563,x21564),f589(x21562,x21563,x21564))
% 199.29/199.25 [2157]~E(x21571,x21572)+E(f589(x21573,x21571,x21574),f589(x21573,x21572,x21574))
% 199.29/199.25 [2158]~E(x21581,x21582)+E(f589(x21583,x21584,x21581),f589(x21583,x21584,x21582))
% 199.29/199.25 [2159]~E(x21591,x21592)+E(f648(x21591,x21593),f648(x21592,x21593))
% 199.29/199.25 [2160]~E(x21601,x21602)+E(f648(x21603,x21601),f648(x21603,x21602))
% 199.29/199.25 [2161]~E(x21611,x21612)+E(f739(x21611,x21613,x21614),f739(x21612,x21613,x21614))
% 199.29/199.25 [2162]~E(x21621,x21622)+E(f739(x21623,x21621,x21624),f739(x21623,x21622,x21624))
% 199.29/199.25 [2163]~E(x21631,x21632)+E(f739(x21633,x21634,x21631),f739(x21633,x21634,x21632))
% 199.29/199.25 [2164]~E(x21641,x21642)+E(f884(x21641,x21643,x21644,x21645,x21646),f884(x21642,x21643,x21644,x21645,x21646))
% 199.29/199.25 [2165]~E(x21651,x21652)+E(f884(x21653,x21651,x21654,x21655,x21656),f884(x21653,x21652,x21654,x21655,x21656))
% 199.29/199.25 [2166]~E(x21661,x21662)+E(f884(x21663,x21664,x21661,x21665,x21666),f884(x21663,x21664,x21662,x21665,x21666))
% 199.29/199.25 [2167]~E(x21671,x21672)+E(f884(x21673,x21674,x21675,x21671,x21676),f884(x21673,x21674,x21675,x21672,x21676))
% 199.29/199.25 [2168]~E(x21681,x21682)+E(f884(x21683,x21684,x21685,x21686,x21681),f884(x21683,x21684,x21685,x21686,x21682))
% 199.29/199.25 [2169]~E(x21691,x21692)+E(f448(x21691,x21693),f448(x21692,x21693))
% 199.29/199.25 [2170]~E(x21701,x21702)+E(f448(x21703,x21701),f448(x21703,x21702))
% 199.29/199.25 [2171]~E(x21711,x21712)+E(f728(x21711,x21713,x21714,x21715,x21716),f728(x21712,x21713,x21714,x21715,x21716))
% 199.29/199.25 [2172]~E(x21721,x21722)+E(f728(x21723,x21721,x21724,x21725,x21726),f728(x21723,x21722,x21724,x21725,x21726))
% 199.29/199.25 [2173]~E(x21731,x21732)+E(f728(x21733,x21734,x21731,x21735,x21736),f728(x21733,x21734,x21732,x21735,x21736))
% 199.29/199.25 [2174]~E(x21741,x21742)+E(f728(x21743,x21744,x21745,x21741,x21746),f728(x21743,x21744,x21745,x21742,x21746))
% 199.29/199.25 [2175]~E(x21751,x21752)+E(f728(x21753,x21754,x21755,x21756,x21751),f728(x21753,x21754,x21755,x21756,x21752))
% 199.29/199.25 [2176]~E(x21761,x21762)+E(f684(x21761,x21763),f684(x21762,x21763))
% 199.29/199.25 [2177]~E(x21771,x21772)+E(f684(x21773,x21771),f684(x21773,x21772))
% 199.29/199.25 [2178]~E(x21781,x21782)+E(f120(x21781,x21783,x21784,x21785),f120(x21782,x21783,x21784,x21785))
% 199.29/199.25 [2179]~E(x21791,x21792)+E(f120(x21793,x21791,x21794,x21795),f120(x21793,x21792,x21794,x21795))
% 199.29/199.25 [2180]~E(x21801,x21802)+E(f120(x21803,x21804,x21801,x21805),f120(x21803,x21804,x21802,x21805))
% 199.29/199.25 [2181]~E(x21811,x21812)+E(f120(x21813,x21814,x21815,x21811),f120(x21813,x21814,x21815,x21812))
% 199.29/199.25 [2182]~E(x21821,x21822)+E(f185(x21821,x21823),f185(x21822,x21823))
% 199.29/199.25 [2183]~E(x21831,x21832)+E(f185(x21833,x21831),f185(x21833,x21832))
% 199.29/199.25 [2184]~E(x21841,x21842)+E(f655(x21841,x21843,x21844),f655(x21842,x21843,x21844))
% 199.29/199.25 [2185]~E(x21851,x21852)+E(f655(x21853,x21851,x21854),f655(x21853,x21852,x21854))
% 199.29/199.25 [2186]~E(x21861,x21862)+E(f655(x21863,x21864,x21861),f655(x21863,x21864,x21862))
% 199.29/199.25 [2187]~E(x21871,x21872)+E(f410(x21871,x21873,x21874,x21875),f410(x21872,x21873,x21874,x21875))
% 199.29/199.25 [2188]~E(x21881,x21882)+E(f410(x21883,x21881,x21884,x21885),f410(x21883,x21882,x21884,x21885))
% 199.29/199.25 [2189]~E(x21891,x21892)+E(f410(x21893,x21894,x21891,x21895),f410(x21893,x21894,x21892,x21895))
% 199.29/199.25 [2190]~E(x21901,x21902)+E(f410(x21903,x21904,x21905,x21901),f410(x21903,x21904,x21905,x21902))
% 199.29/199.25 [2191]~E(x21911,x21912)+E(f774(x21911,x21913),f774(x21912,x21913))
% 199.29/199.25 [2192]~E(x21921,x21922)+E(f774(x21923,x21921),f774(x21923,x21922))
% 199.29/199.25 [2193]~E(x21931,x21932)+E(f510(x21931,x21933,x21934,x21935,x21936),f510(x21932,x21933,x21934,x21935,x21936))
% 199.29/199.25 [2194]~E(x21941,x21942)+E(f510(x21943,x21941,x21944,x21945,x21946),f510(x21943,x21942,x21944,x21945,x21946))
% 199.29/199.25 [2195]~E(x21951,x21952)+E(f510(x21953,x21954,x21951,x21955,x21956),f510(x21953,x21954,x21952,x21955,x21956))
% 199.29/199.25 [2196]~E(x21961,x21962)+E(f510(x21963,x21964,x21965,x21961,x21966),f510(x21963,x21964,x21965,x21962,x21966))
% 199.29/199.25 [2197]~E(x21971,x21972)+E(f510(x21973,x21974,x21975,x21976,x21971),f510(x21973,x21974,x21975,x21976,x21972))
% 199.29/199.25 [2198]~E(x21981,x21982)+E(f585(x21981,x21983),f585(x21982,x21983))
% 199.29/199.25 [2199]~E(x21991,x21992)+E(f585(x21993,x21991),f585(x21993,x21992))
% 199.29/199.25 [2200]~E(x22001,x22002)+E(f342(x22001),f342(x22002))
% 199.29/199.25 [2201]~E(x22011,x22012)+E(f393(x22011,x22013),f393(x22012,x22013))
% 199.29/199.25 [2202]~E(x22021,x22022)+E(f393(x22023,x22021),f393(x22023,x22022))
% 199.29/199.25 [2203]~E(x22031,x22032)+E(f753(x22031,x22033,x22034),f753(x22032,x22033,x22034))
% 199.29/199.25 [2204]~E(x22041,x22042)+E(f753(x22043,x22041,x22044),f753(x22043,x22042,x22044))
% 199.29/199.25 [2205]~E(x22051,x22052)+E(f753(x22053,x22054,x22051),f753(x22053,x22054,x22052))
% 199.29/199.25 [2206]~E(x22061,x22062)+E(f361(x22061,x22063,x22064),f361(x22062,x22063,x22064))
% 199.29/199.25 [2207]~E(x22071,x22072)+E(f361(x22073,x22071,x22074),f361(x22073,x22072,x22074))
% 199.29/199.25 [2208]~E(x22081,x22082)+E(f361(x22083,x22084,x22081),f361(x22083,x22084,x22082))
% 199.29/199.25 [2209]~E(x22091,x22092)+E(f889(x22091,x22093,x22094,x22095,x22096),f889(x22092,x22093,x22094,x22095,x22096))
% 199.29/199.25 [2210]~E(x22101,x22102)+E(f889(x22103,x22101,x22104,x22105,x22106),f889(x22103,x22102,x22104,x22105,x22106))
% 199.29/199.25 [2211]~E(x22111,x22112)+E(f889(x22113,x22114,x22111,x22115,x22116),f889(x22113,x22114,x22112,x22115,x22116))
% 199.29/199.25 [2212]~E(x22121,x22122)+E(f889(x22123,x22124,x22125,x22121,x22126),f889(x22123,x22124,x22125,x22122,x22126))
% 199.29/199.25 [2213]~E(x22131,x22132)+E(f889(x22133,x22134,x22135,x22136,x22131),f889(x22133,x22134,x22135,x22136,x22132))
% 199.29/199.25 [2214]~E(x22141,x22142)+E(f187(x22141,x22143,x22144,x22145),f187(x22142,x22143,x22144,x22145))
% 199.29/199.25 [2215]~E(x22151,x22152)+E(f187(x22153,x22151,x22154,x22155),f187(x22153,x22152,x22154,x22155))
% 199.29/199.25 [2216]~E(x22161,x22162)+E(f187(x22163,x22164,x22161,x22165),f187(x22163,x22164,x22162,x22165))
% 199.29/199.25 [2217]~E(x22171,x22172)+E(f187(x22173,x22174,x22175,x22171),f187(x22173,x22174,x22175,x22172))
% 199.29/199.25 [2218]~E(x22181,x22182)+E(f678(x22181,x22183),f678(x22182,x22183))
% 199.29/199.25 [2219]~E(x22191,x22192)+E(f678(x22193,x22191),f678(x22193,x22192))
% 199.29/199.25 [2220]~E(x22201,x22202)+E(f575(x22201,x22203,x22204,x22205,x22206,x22207),f575(x22202,x22203,x22204,x22205,x22206,x22207))
% 199.29/199.25 [2221]~E(x22211,x22212)+E(f575(x22213,x22211,x22214,x22215,x22216,x22217),f575(x22213,x22212,x22214,x22215,x22216,x22217))
% 199.29/199.25 [2222]~E(x22221,x22222)+E(f575(x22223,x22224,x22221,x22225,x22226,x22227),f575(x22223,x22224,x22222,x22225,x22226,x22227))
% 199.29/199.25 [2223]~E(x22231,x22232)+E(f575(x22233,x22234,x22235,x22231,x22236,x22237),f575(x22233,x22234,x22235,x22232,x22236,x22237))
% 199.29/199.25 [2224]~E(x22241,x22242)+E(f575(x22243,x22244,x22245,x22246,x22241,x22247),f575(x22243,x22244,x22245,x22246,x22242,x22247))
% 199.29/199.25 [2225]~E(x22251,x22252)+E(f575(x22253,x22254,x22255,x22256,x22257,x22251),f575(x22253,x22254,x22255,x22256,x22257,x22252))
% 199.29/199.25 [2226]~E(x22261,x22262)+E(f335(x22261,x22263,x22264,x22265),f335(x22262,x22263,x22264,x22265))
% 199.29/199.25 [2227]~E(x22271,x22272)+E(f335(x22273,x22271,x22274,x22275),f335(x22273,x22272,x22274,x22275))
% 199.29/199.25 [2228]~E(x22281,x22282)+E(f335(x22283,x22284,x22281,x22285),f335(x22283,x22284,x22282,x22285))
% 199.29/199.25 [2229]~E(x22291,x22292)+E(f335(x22293,x22294,x22295,x22291),f335(x22293,x22294,x22295,x22292))
% 199.29/199.25 [2230]~E(x22301,x22302)+E(f81(x22301),f81(x22302))
% 199.29/199.25 [2231]~E(x22311,x22312)+E(f520(x22311,x22313,x22314,x22315),f520(x22312,x22313,x22314,x22315))
% 199.29/199.25 [2232]~E(x22321,x22322)+E(f520(x22323,x22321,x22324,x22325),f520(x22323,x22322,x22324,x22325))
% 199.29/199.25 [2233]~E(x22331,x22332)+E(f520(x22333,x22334,x22331,x22335),f520(x22333,x22334,x22332,x22335))
% 199.29/199.25 [2234]~E(x22341,x22342)+E(f520(x22343,x22344,x22345,x22341),f520(x22343,x22344,x22345,x22342))
% 199.29/199.25 [2235]~E(x22351,x22352)+E(f724(x22351,x22353),f724(x22352,x22353))
% 199.29/199.25 [2236]~E(x22361,x22362)+E(f724(x22363,x22361),f724(x22363,x22362))
% 199.29/199.25 [2237]~E(x22371,x22372)+E(f744(x22371,x22373,x22374),f744(x22372,x22373,x22374))
% 199.29/199.25 [2238]~E(x22381,x22382)+E(f744(x22383,x22381,x22384),f744(x22383,x22382,x22384))
% 199.29/199.25 [2239]~E(x22391,x22392)+E(f744(x22393,x22394,x22391),f744(x22393,x22394,x22392))
% 199.29/199.25 [2240]~E(x22401,x22402)+E(f803(x22401,x22403),f803(x22402,x22403))
% 199.29/199.25 [2241]~E(x22411,x22412)+E(f803(x22413,x22411),f803(x22413,x22412))
% 199.29/199.25 [2242]~E(x22421,x22422)+E(f577(x22421,x22423,x22424,x22425,x22426,x22427),f577(x22422,x22423,x22424,x22425,x22426,x22427))
% 199.29/199.25 [2243]~E(x22431,x22432)+E(f577(x22433,x22431,x22434,x22435,x22436,x22437),f577(x22433,x22432,x22434,x22435,x22436,x22437))
% 199.29/199.25 [2244]~E(x22441,x22442)+E(f577(x22443,x22444,x22441,x22445,x22446,x22447),f577(x22443,x22444,x22442,x22445,x22446,x22447))
% 199.29/199.25 [2245]~E(x22451,x22452)+E(f577(x22453,x22454,x22455,x22451,x22456,x22457),f577(x22453,x22454,x22455,x22452,x22456,x22457))
% 199.29/199.25 [2246]~E(x22461,x22462)+E(f577(x22463,x22464,x22465,x22466,x22461,x22467),f577(x22463,x22464,x22465,x22466,x22462,x22467))
% 199.29/199.25 [2247]~E(x22471,x22472)+E(f577(x22473,x22474,x22475,x22476,x22477,x22471),f577(x22473,x22474,x22475,x22476,x22477,x22472))
% 199.29/199.25 [2248]~E(x22481,x22482)+E(f821(x22481,x22483,x22484,x22485,x22486,x22487,x22488,x22489),f821(x22482,x22483,x22484,x22485,x22486,x22487,x22488,x22489))
% 199.29/199.25 [2249]~E(x22491,x22492)+E(f821(x22493,x22491,x22494,x22495,x22496,x22497,x22498,x22499),f821(x22493,x22492,x22494,x22495,x22496,x22497,x22498,x22499))
% 199.29/199.25 [2250]~E(x22501,x22502)+E(f821(x22503,x22504,x22501,x22505,x22506,x22507,x22508,x22509),f821(x22503,x22504,x22502,x22505,x22506,x22507,x22508,x22509))
% 199.29/199.25 [2251]~E(x22511,x22512)+E(f821(x22513,x22514,x22515,x22511,x22516,x22517,x22518,x22519),f821(x22513,x22514,x22515,x22512,x22516,x22517,x22518,x22519))
% 199.29/199.25 [2252]~E(x22521,x22522)+E(f821(x22523,x22524,x22525,x22526,x22521,x22527,x22528,x22529),f821(x22523,x22524,x22525,x22526,x22522,x22527,x22528,x22529))
% 199.29/199.25 [2253]~E(x22531,x22532)+E(f821(x22533,x22534,x22535,x22536,x22537,x22531,x22538,x22539),f821(x22533,x22534,x22535,x22536,x22537,x22532,x22538,x22539))
% 199.29/199.25 [2254]~E(x22541,x22542)+E(f821(x22543,x22544,x22545,x22546,x22547,x22548,x22541,x22549),f821(x22543,x22544,x22545,x22546,x22547,x22548,x22542,x22549))
% 199.29/199.25 [2255]~E(x22551,x22552)+E(f821(x22553,x22554,x22555,x22556,x22557,x22558,x22559,x22551),f821(x22553,x22554,x22555,x22556,x22557,x22558,x22559,x22552))
% 199.29/199.25 [2256]~E(x22561,x22562)+E(f790(x22561),f790(x22562))
% 199.29/199.25 [2257]~E(x22571,x22572)+E(f840(x22571,x22573),f840(x22572,x22573))
% 199.29/199.25 [2258]~E(x22581,x22582)+E(f840(x22583,x22581),f840(x22583,x22582))
% 199.29/199.25 [2259]~E(x22591,x22592)+E(f689(x22591,x22593),f689(x22592,x22593))
% 199.29/199.25 [2260]~E(x22601,x22602)+E(f689(x22603,x22601),f689(x22603,x22602))
% 199.29/199.25 [2261]~E(x22611,x22612)+E(f805(x22611,x22613),f805(x22612,x22613))
% 199.29/199.25 [2262]~E(x22621,x22622)+E(f805(x22623,x22621),f805(x22623,x22622))
% 199.29/199.25 [2263]~E(x22631,x22632)+E(f215(x22631,x22633,x22634,x22635,x22636),f215(x22632,x22633,x22634,x22635,x22636))
% 199.29/199.25 [2264]~E(x22641,x22642)+E(f215(x22643,x22641,x22644,x22645,x22646),f215(x22643,x22642,x22644,x22645,x22646))
% 199.29/199.25 [2265]~E(x22651,x22652)+E(f215(x22653,x22654,x22651,x22655,x22656),f215(x22653,x22654,x22652,x22655,x22656))
% 199.29/199.25 [2266]~E(x22661,x22662)+E(f215(x22663,x22664,x22665,x22661,x22666),f215(x22663,x22664,x22665,x22662,x22666))
% 199.29/199.25 [2267]~E(x22671,x22672)+E(f215(x22673,x22674,x22675,x22676,x22671),f215(x22673,x22674,x22675,x22676,x22672))
% 199.29/199.25 [2268]~E(x22681,x22682)+E(f613(x22681,x22683,x22684,x22685,x22686),f613(x22682,x22683,x22684,x22685,x22686))
% 199.29/199.25 [2269]~E(x22691,x22692)+E(f613(x22693,x22691,x22694,x22695,x22696),f613(x22693,x22692,x22694,x22695,x22696))
% 199.29/199.25 [2270]~E(x22701,x22702)+E(f613(x22703,x22704,x22701,x22705,x22706),f613(x22703,x22704,x22702,x22705,x22706))
% 199.29/199.25 [2271]~E(x22711,x22712)+E(f613(x22713,x22714,x22715,x22711,x22716),f613(x22713,x22714,x22715,x22712,x22716))
% 199.29/199.25 [2272]~E(x22721,x22722)+E(f613(x22723,x22724,x22725,x22726,x22721),f613(x22723,x22724,x22725,x22726,x22722))
% 199.29/199.25 [2273]~E(x22731,x22732)+E(f824(x22731,x22733,x22734,x22735,x22736,x22737,x22738,x22739),f824(x22732,x22733,x22734,x22735,x22736,x22737,x22738,x22739))
% 199.29/199.25 [2274]~E(x22741,x22742)+E(f824(x22743,x22741,x22744,x22745,x22746,x22747,x22748,x22749),f824(x22743,x22742,x22744,x22745,x22746,x22747,x22748,x22749))
% 199.29/199.25 [2275]~E(x22751,x22752)+E(f824(x22753,x22754,x22751,x22755,x22756,x22757,x22758,x22759),f824(x22753,x22754,x22752,x22755,x22756,x22757,x22758,x22759))
% 199.29/199.25 [2276]~E(x22761,x22762)+E(f824(x22763,x22764,x22765,x22761,x22766,x22767,x22768,x22769),f824(x22763,x22764,x22765,x22762,x22766,x22767,x22768,x22769))
% 199.29/199.25 [2277]~E(x22771,x22772)+E(f824(x22773,x22774,x22775,x22776,x22771,x22777,x22778,x22779),f824(x22773,x22774,x22775,x22776,x22772,x22777,x22778,x22779))
% 199.29/199.25 [2278]~E(x22781,x22782)+E(f824(x22783,x22784,x22785,x22786,x22787,x22781,x22788,x22789),f824(x22783,x22784,x22785,x22786,x22787,x22782,x22788,x22789))
% 199.29/199.25 [2279]~E(x22791,x22792)+E(f824(x22793,x22794,x22795,x22796,x22797,x22798,x22791,x22799),f824(x22793,x22794,x22795,x22796,x22797,x22798,x22792,x22799))
% 199.29/199.25 [2280]~E(x22801,x22802)+E(f824(x22803,x22804,x22805,x22806,x22807,x22808,x22809,x22801),f824(x22803,x22804,x22805,x22806,x22807,x22808,x22809,x22802))
% 199.29/199.25 [2281]~E(x22811,x22812)+E(f743(x22811,x22813,x22814),f743(x22812,x22813,x22814))
% 199.29/199.25 [2282]~E(x22821,x22822)+E(f743(x22823,x22821,x22824),f743(x22823,x22822,x22824))
% 199.29/199.25 [2283]~E(x22831,x22832)+E(f743(x22833,x22834,x22831),f743(x22833,x22834,x22832))
% 199.29/199.25 [2284]~E(x22841,x22842)+E(f199(x22841),f199(x22842))
% 199.29/199.25 [2285]~E(x22851,x22852)+E(f467(x22851,x22853,x22854,x22855),f467(x22852,x22853,x22854,x22855))
% 199.29/199.25 [2286]~E(x22861,x22862)+E(f467(x22863,x22861,x22864,x22865),f467(x22863,x22862,x22864,x22865))
% 199.29/199.25 [2287]~E(x22871,x22872)+E(f467(x22873,x22874,x22871,x22875),f467(x22873,x22874,x22872,x22875))
% 199.29/199.25 [2288]~E(x22881,x22882)+E(f467(x22883,x22884,x22885,x22881),f467(x22883,x22884,x22885,x22882))
% 199.29/199.25 [2289]~E(x22891,x22892)+E(f878(x22891,x22893,x22894),f878(x22892,x22893,x22894))
% 199.29/199.25 [2290]~E(x22901,x22902)+E(f878(x22903,x22901,x22904),f878(x22903,x22902,x22904))
% 199.29/199.25 [2291]~E(x22911,x22912)+E(f878(x22913,x22914,x22911),f878(x22913,x22914,x22912))
% 199.29/199.25 [2292]~E(x22921,x22922)+E(f852(x22921,x22923,x22924),f852(x22922,x22923,x22924))
% 199.29/199.25 [2293]~E(x22931,x22932)+E(f852(x22933,x22931,x22934),f852(x22933,x22932,x22934))
% 199.29/199.25 [2294]~E(x22941,x22942)+E(f852(x22943,x22944,x22941),f852(x22943,x22944,x22942))
% 199.29/199.25 [2295]~E(x22951,x22952)+E(f872(x22951,x22953,x22954),f872(x22952,x22953,x22954))
% 199.29/199.25 [2296]~E(x22961,x22962)+E(f872(x22963,x22961,x22964),f872(x22963,x22962,x22964))
% 199.29/199.25 [2297]~E(x22971,x22972)+E(f872(x22973,x22974,x22971),f872(x22973,x22974,x22972))
% 199.29/199.25 [2298]~E(x22981,x22982)+E(f590(x22981,x22983,x22984,x22985),f590(x22982,x22983,x22984,x22985))
% 199.29/199.25 [2299]~E(x22991,x22992)+E(f590(x22993,x22991,x22994,x22995),f590(x22993,x22992,x22994,x22995))
% 199.29/199.25 [2300]~E(x23001,x23002)+E(f590(x23003,x23004,x23001,x23005),f590(x23003,x23004,x23002,x23005))
% 199.29/199.25 [2301]~E(x23011,x23012)+E(f590(x23013,x23014,x23015,x23011),f590(x23013,x23014,x23015,x23012))
% 199.29/199.25 [2302]~E(x23021,x23022)+E(f540(x23021,x23023,x23024,x23025,x23026),f540(x23022,x23023,x23024,x23025,x23026))
% 199.29/199.25 [2303]~E(x23031,x23032)+E(f540(x23033,x23031,x23034,x23035,x23036),f540(x23033,x23032,x23034,x23035,x23036))
% 199.29/199.25 [2304]~E(x23041,x23042)+E(f540(x23043,x23044,x23041,x23045,x23046),f540(x23043,x23044,x23042,x23045,x23046))
% 199.29/199.25 [2305]~E(x23051,x23052)+E(f540(x23053,x23054,x23055,x23051,x23056),f540(x23053,x23054,x23055,x23052,x23056))
% 199.29/199.25 [2306]~E(x23061,x23062)+E(f540(x23063,x23064,x23065,x23066,x23061),f540(x23063,x23064,x23065,x23066,x23062))
% 199.29/199.25 [2307]~E(x23071,x23072)+E(f209(x23071,x23073),f209(x23072,x23073))
% 199.29/199.25 [2308]~E(x23081,x23082)+E(f209(x23083,x23081),f209(x23083,x23082))
% 199.29/199.25 [2309]~E(x23091,x23092)+E(f341(x23091,x23093,x23094,x23095,x23096),f341(x23092,x23093,x23094,x23095,x23096))
% 199.29/199.25 [2310]~E(x23101,x23102)+E(f341(x23103,x23101,x23104,x23105,x23106),f341(x23103,x23102,x23104,x23105,x23106))
% 199.29/199.25 [2311]~E(x23111,x23112)+E(f341(x23113,x23114,x23111,x23115,x23116),f341(x23113,x23114,x23112,x23115,x23116))
% 199.29/199.25 [2312]~E(x23121,x23122)+E(f341(x23123,x23124,x23125,x23121,x23126),f341(x23123,x23124,x23125,x23122,x23126))
% 199.29/199.25 [2313]~E(x23131,x23132)+E(f341(x23133,x23134,x23135,x23136,x23131),f341(x23133,x23134,x23135,x23136,x23132))
% 199.29/199.25 [2314]~E(x23141,x23142)+E(f862(x23141,x23143,x23144,x23145,x23146,x23147,x23148),f862(x23142,x23143,x23144,x23145,x23146,x23147,x23148))
% 199.29/199.25 [2315]~E(x23151,x23152)+E(f862(x23153,x23151,x23154,x23155,x23156,x23157,x23158),f862(x23153,x23152,x23154,x23155,x23156,x23157,x23158))
% 199.29/199.25 [2316]~E(x23161,x23162)+E(f862(x23163,x23164,x23161,x23165,x23166,x23167,x23168),f862(x23163,x23164,x23162,x23165,x23166,x23167,x23168))
% 199.29/199.25 [2317]~E(x23171,x23172)+E(f862(x23173,x23174,x23175,x23171,x23176,x23177,x23178),f862(x23173,x23174,x23175,x23172,x23176,x23177,x23178))
% 199.29/199.25 [2318]~E(x23181,x23182)+E(f862(x23183,x23184,x23185,x23186,x23181,x23187,x23188),f862(x23183,x23184,x23185,x23186,x23182,x23187,x23188))
% 199.29/199.25 [2319]~E(x23191,x23192)+E(f862(x23193,x23194,x23195,x23196,x23197,x23191,x23198),f862(x23193,x23194,x23195,x23196,x23197,x23192,x23198))
% 199.29/199.25 [2320]~E(x23201,x23202)+E(f862(x23203,x23204,x23205,x23206,x23207,x23208,x23201),f862(x23203,x23204,x23205,x23206,x23207,x23208,x23202))
% 199.29/199.25 [2321]~E(x23211,x23212)+E(f327(x23211,x23213),f327(x23212,x23213))
% 199.29/199.25 [2322]~E(x23221,x23222)+E(f327(x23223,x23221),f327(x23223,x23222))
% 199.29/199.25 [2323]~E(x23231,x23232)+E(f413(x23231,x23233),f413(x23232,x23233))
% 199.29/199.25 [2324]~E(x23241,x23242)+E(f413(x23243,x23241),f413(x23243,x23242))
% 199.29/199.25 [2325]~E(x23251,x23252)+E(f863(x23251,x23253,x23254,x23255,x23256,x23257,x23258),f863(x23252,x23253,x23254,x23255,x23256,x23257,x23258))
% 199.29/199.25 [2326]~E(x23261,x23262)+E(f863(x23263,x23261,x23264,x23265,x23266,x23267,x23268),f863(x23263,x23262,x23264,x23265,x23266,x23267,x23268))
% 199.29/199.25 [2327]~E(x23271,x23272)+E(f863(x23273,x23274,x23271,x23275,x23276,x23277,x23278),f863(x23273,x23274,x23272,x23275,x23276,x23277,x23278))
% 199.29/199.25 [2328]~E(x23281,x23282)+E(f863(x23283,x23284,x23285,x23281,x23286,x23287,x23288),f863(x23283,x23284,x23285,x23282,x23286,x23287,x23288))
% 199.29/199.25 [2329]~E(x23291,x23292)+E(f863(x23293,x23294,x23295,x23296,x23291,x23297,x23298),f863(x23293,x23294,x23295,x23296,x23292,x23297,x23298))
% 199.29/199.25 [2330]~E(x23301,x23302)+E(f863(x23303,x23304,x23305,x23306,x23307,x23301,x23308),f863(x23303,x23304,x23305,x23306,x23307,x23302,x23308))
% 199.29/199.25 [2331]~E(x23311,x23312)+E(f863(x23313,x23314,x23315,x23316,x23317,x23318,x23311),f863(x23313,x23314,x23315,x23316,x23317,x23318,x23312))
% 199.29/199.25 [2332]~E(x23321,x23322)+E(f630(x23321,x23323,x23324,x23325),f630(x23322,x23323,x23324,x23325))
% 199.29/199.25 [2333]~E(x23331,x23332)+E(f630(x23333,x23331,x23334,x23335),f630(x23333,x23332,x23334,x23335))
% 199.29/199.25 [2334]~E(x23341,x23342)+E(f630(x23343,x23344,x23341,x23345),f630(x23343,x23344,x23342,x23345))
% 199.29/199.25 [2335]~E(x23351,x23352)+E(f630(x23353,x23354,x23355,x23351),f630(x23353,x23354,x23355,x23352))
% 199.29/199.25 [2336]~E(x23361,x23362)+E(f793(x23361,x23363),f793(x23362,x23363))
% 199.29/199.25 [2337]~E(x23371,x23372)+E(f793(x23373,x23371),f793(x23373,x23372))
% 199.29/199.25 [2338]~E(x23381,x23382)+E(f436(x23381,x23383,x23384),f436(x23382,x23383,x23384))
% 199.29/199.25 [2339]~E(x23391,x23392)+E(f436(x23393,x23391,x23394),f436(x23393,x23392,x23394))
% 199.29/199.25 [2340]~E(x23401,x23402)+E(f436(x23403,x23404,x23401),f436(x23403,x23404,x23402))
% 199.29/199.25 [2341]~E(x23411,x23412)+E(f330(x23411,x23413,x23414),f330(x23412,x23413,x23414))
% 199.29/199.25 [2342]~E(x23421,x23422)+E(f330(x23423,x23421,x23424),f330(x23423,x23422,x23424))
% 199.29/199.25 [2343]~E(x23431,x23432)+E(f330(x23433,x23434,x23431),f330(x23433,x23434,x23432))
% 199.29/199.25 [2344]~E(x23441,x23442)+E(f425(x23441,x23443,x23444,x23445),f425(x23442,x23443,x23444,x23445))
% 199.29/199.25 [2345]~E(x23451,x23452)+E(f425(x23453,x23451,x23454,x23455),f425(x23453,x23452,x23454,x23455))
% 199.29/199.25 [2346]~E(x23461,x23462)+E(f425(x23463,x23464,x23461,x23465),f425(x23463,x23464,x23462,x23465))
% 199.29/199.25 [2347]~E(x23471,x23472)+E(f425(x23473,x23474,x23475,x23471),f425(x23473,x23474,x23475,x23472))
% 199.29/199.25 [2348]~E(x23481,x23482)+E(f871(x23481,x23483,x23484),f871(x23482,x23483,x23484))
% 199.29/199.25 [2349]~E(x23491,x23492)+E(f871(x23493,x23491,x23494),f871(x23493,x23492,x23494))
% 199.29/199.25 [2350]~E(x23501,x23502)+E(f871(x23503,x23504,x23501),f871(x23503,x23504,x23502))
% 199.29/199.25 [2351]~E(x23511,x23512)+E(f198(x23511,x23513,x23514,x23515,x23516,x23517,x23518),f198(x23512,x23513,x23514,x23515,x23516,x23517,x23518))
% 199.29/199.25 [2352]~E(x23521,x23522)+E(f198(x23523,x23521,x23524,x23525,x23526,x23527,x23528),f198(x23523,x23522,x23524,x23525,x23526,x23527,x23528))
% 199.29/199.25 [2353]~E(x23531,x23532)+E(f198(x23533,x23534,x23531,x23535,x23536,x23537,x23538),f198(x23533,x23534,x23532,x23535,x23536,x23537,x23538))
% 199.29/199.25 [2354]~E(x23541,x23542)+E(f198(x23543,x23544,x23545,x23541,x23546,x23547,x23548),f198(x23543,x23544,x23545,x23542,x23546,x23547,x23548))
% 199.29/199.25 [2355]~E(x23551,x23552)+E(f198(x23553,x23554,x23555,x23556,x23551,x23557,x23558),f198(x23553,x23554,x23555,x23556,x23552,x23557,x23558))
% 199.29/199.25 [2356]~E(x23561,x23562)+E(f198(x23563,x23564,x23565,x23566,x23567,x23561,x23568),f198(x23563,x23564,x23565,x23566,x23567,x23562,x23568))
% 199.29/199.25 [2357]~E(x23571,x23572)+E(f198(x23573,x23574,x23575,x23576,x23577,x23578,x23571),f198(x23573,x23574,x23575,x23576,x23577,x23578,x23572))
% 199.29/199.25 [2358]~E(x23581,x23582)+E(f414(x23581,x23583),f414(x23582,x23583))
% 199.29/199.25 [2359]~E(x23591,x23592)+E(f414(x23593,x23591),f414(x23593,x23592))
% 199.29/199.25 [2360]~E(x23601,x23602)+E(f578(x23601,x23603,x23604,x23605,x23606,x23607),f578(x23602,x23603,x23604,x23605,x23606,x23607))
% 199.29/199.25 [2361]~E(x23611,x23612)+E(f578(x23613,x23611,x23614,x23615,x23616,x23617),f578(x23613,x23612,x23614,x23615,x23616,x23617))
% 199.29/199.25 [2362]~E(x23621,x23622)+E(f578(x23623,x23624,x23621,x23625,x23626,x23627),f578(x23623,x23624,x23622,x23625,x23626,x23627))
% 199.29/199.25 [2363]~E(x23631,x23632)+E(f578(x23633,x23634,x23635,x23631,x23636,x23637),f578(x23633,x23634,x23635,x23632,x23636,x23637))
% 199.29/199.25 [2364]~E(x23641,x23642)+E(f578(x23643,x23644,x23645,x23646,x23641,x23647),f578(x23643,x23644,x23645,x23646,x23642,x23647))
% 199.29/199.25 [2365]~E(x23651,x23652)+E(f578(x23653,x23654,x23655,x23656,x23657,x23651),f578(x23653,x23654,x23655,x23656,x23657,x23652))
% 199.29/199.25 [2366]~E(x23661,x23662)+E(f522(x23661,x23663,x23664),f522(x23662,x23663,x23664))
% 199.29/199.25 [2367]~E(x23671,x23672)+E(f522(x23673,x23671,x23674),f522(x23673,x23672,x23674))
% 199.29/199.25 [2368]~E(x23681,x23682)+E(f522(x23683,x23684,x23681),f522(x23683,x23684,x23682))
% 199.29/199.25 [2369]~E(x23691,x23692)+E(f331(x23691,x23693,x23694),f331(x23692,x23693,x23694))
% 199.29/199.25 [2370]~E(x23701,x23702)+E(f331(x23703,x23701,x23704),f331(x23703,x23702,x23704))
% 199.29/199.25 [2371]~E(x23711,x23712)+E(f331(x23713,x23714,x23711),f331(x23713,x23714,x23712))
% 199.29/199.25 [2372]~E(x23721,x23722)+E(f601(x23721,x23723,x23724),f601(x23722,x23723,x23724))
% 199.29/199.25 [2373]~E(x23731,x23732)+E(f601(x23733,x23731,x23734),f601(x23733,x23732,x23734))
% 199.29/199.25 [2374]~E(x23741,x23742)+E(f601(x23743,x23744,x23741),f601(x23743,x23744,x23742))
% 199.29/199.25 [2375]~E(x23751,x23752)+E(f326(x23751,x23753,x23754,x23755),f326(x23752,x23753,x23754,x23755))
% 199.29/199.25 [2376]~E(x23761,x23762)+E(f326(x23763,x23761,x23764,x23765),f326(x23763,x23762,x23764,x23765))
% 199.29/199.25 [2377]~E(x23771,x23772)+E(f326(x23773,x23774,x23771,x23775),f326(x23773,x23774,x23772,x23775))
% 199.29/199.25 [2378]~E(x23781,x23782)+E(f326(x23783,x23784,x23785,x23781),f326(x23783,x23784,x23785,x23782))
% 199.29/199.25 [2379]~E(x23791,x23792)+E(f529(x23791,x23793,x23794,x23795),f529(x23792,x23793,x23794,x23795))
% 199.29/199.25 [2380]~E(x23801,x23802)+E(f529(x23803,x23801,x23804,x23805),f529(x23803,x23802,x23804,x23805))
% 199.29/199.25 [2381]~E(x23811,x23812)+E(f529(x23813,x23814,x23811,x23815),f529(x23813,x23814,x23812,x23815))
% 199.29/199.25 [2382]~E(x23821,x23822)+E(f529(x23823,x23824,x23825,x23821),f529(x23823,x23824,x23825,x23822))
% 199.29/199.25 [2383]~E(x23831,x23832)+E(f649(x23831,x23833,x23834,x23835),f649(x23832,x23833,x23834,x23835))
% 199.29/199.25 [2384]~E(x23841,x23842)+E(f649(x23843,x23841,x23844,x23845),f649(x23843,x23842,x23844,x23845))
% 199.29/199.25 [2385]~E(x23851,x23852)+E(f649(x23853,x23854,x23851,x23855),f649(x23853,x23854,x23852,x23855))
% 199.29/199.25 [2386]~E(x23861,x23862)+E(f649(x23863,x23864,x23865,x23861),f649(x23863,x23864,x23865,x23862))
% 199.29/199.25 [2387]~E(x23871,x23872)+E(f605(x23871,x23873,x23874),f605(x23872,x23873,x23874))
% 199.29/199.25 [2388]~E(x23881,x23882)+E(f605(x23883,x23881,x23884),f605(x23883,x23882,x23884))
% 199.29/199.25 [2389]~E(x23891,x23892)+E(f605(x23893,x23894,x23891),f605(x23893,x23894,x23892))
% 199.29/199.25 [2390]~E(x23901,x23902)+E(f536(x23901,x23903,x23904,x23905),f536(x23902,x23903,x23904,x23905))
% 199.29/199.25 [2391]~E(x23911,x23912)+E(f536(x23913,x23911,x23914,x23915),f536(x23913,x23912,x23914,x23915))
% 199.29/199.25 [2392]~E(x23921,x23922)+E(f536(x23923,x23924,x23921,x23925),f536(x23923,x23924,x23922,x23925))
% 199.29/199.25 [2393]~E(x23931,x23932)+E(f536(x23933,x23934,x23935,x23931),f536(x23933,x23934,x23935,x23932))
% 199.29/199.25 [2394]~E(x23941,x23942)+E(f353(x23941,x23943,x23944),f353(x23942,x23943,x23944))
% 199.29/199.25 [2395]~E(x23951,x23952)+E(f353(x23953,x23951,x23954),f353(x23953,x23952,x23954))
% 199.29/199.25 [2396]~E(x23961,x23962)+E(f353(x23963,x23964,x23961),f353(x23963,x23964,x23962))
% 199.29/199.25 [2397]~E(x23971,x23972)+E(f262(x23971,x23973),f262(x23972,x23973))
% 199.29/199.25 [2398]~E(x23981,x23982)+E(f262(x23983,x23981),f262(x23983,x23982))
% 199.29/199.25 [2399]~E(x23991,x23992)+E(f778(x23991,x23993,x23994),f778(x23992,x23993,x23994))
% 199.29/199.25 [2400]~E(x24001,x24002)+E(f778(x24003,x24001,x24004),f778(x24003,x24002,x24004))
% 199.29/199.25 [2401]~E(x24011,x24012)+E(f778(x24013,x24014,x24011),f778(x24013,x24014,x24012))
% 199.29/199.25 [2402]~E(x24021,x24022)+E(f266(x24021,x24023,x24024,x24025),f266(x24022,x24023,x24024,x24025))
% 199.29/199.25 [2403]~E(x24031,x24032)+E(f266(x24033,x24031,x24034,x24035),f266(x24033,x24032,x24034,x24035))
% 199.29/199.25 [2404]~E(x24041,x24042)+E(f266(x24043,x24044,x24041,x24045),f266(x24043,x24044,x24042,x24045))
% 199.29/199.25 [2405]~E(x24051,x24052)+E(f266(x24053,x24054,x24055,x24051),f266(x24053,x24054,x24055,x24052))
% 199.29/199.25 [2406]~E(x24061,x24062)+E(f23(x24061,x24063),f23(x24062,x24063))
% 199.29/199.25 [2407]~E(x24071,x24072)+E(f23(x24073,x24071),f23(x24073,x24072))
% 199.29/199.25 [2408]~E(x24081,x24082)+E(f593(x24081,x24083,x24084),f593(x24082,x24083,x24084))
% 199.29/199.25 [2409]~E(x24091,x24092)+E(f593(x24093,x24091,x24094),f593(x24093,x24092,x24094))
% 199.29/199.25 [2410]~E(x24101,x24102)+E(f593(x24103,x24104,x24101),f593(x24103,x24104,x24102))
% 199.29/199.25 [2411]~E(x24111,x24112)+E(f517(x24111,x24113,x24114,x24115,x24116,x24117,x24118,x24119),f517(x24112,x24113,x24114,x24115,x24116,x24117,x24118,x24119))
% 199.29/199.25 [2412]~E(x24121,x24122)+E(f517(x24123,x24121,x24124,x24125,x24126,x24127,x24128,x24129),f517(x24123,x24122,x24124,x24125,x24126,x24127,x24128,x24129))
% 199.29/199.25 [2413]~E(x24131,x24132)+E(f517(x24133,x24134,x24131,x24135,x24136,x24137,x24138,x24139),f517(x24133,x24134,x24132,x24135,x24136,x24137,x24138,x24139))
% 199.29/199.25 [2414]~E(x24141,x24142)+E(f517(x24143,x24144,x24145,x24141,x24146,x24147,x24148,x24149),f517(x24143,x24144,x24145,x24142,x24146,x24147,x24148,x24149))
% 199.29/199.25 [2415]~E(x24151,x24152)+E(f517(x24153,x24154,x24155,x24156,x24151,x24157,x24158,x24159),f517(x24153,x24154,x24155,x24156,x24152,x24157,x24158,x24159))
% 199.29/199.25 [2416]~E(x24161,x24162)+E(f517(x24163,x24164,x24165,x24166,x24167,x24161,x24168,x24169),f517(x24163,x24164,x24165,x24166,x24167,x24162,x24168,x24169))
% 199.29/199.25 [2417]~E(x24171,x24172)+E(f517(x24173,x24174,x24175,x24176,x24177,x24178,x24171,x24179),f517(x24173,x24174,x24175,x24176,x24177,x24178,x24172,x24179))
% 199.29/199.25 [2418]~E(x24181,x24182)+E(f517(x24183,x24184,x24185,x24186,x24187,x24188,x24189,x24181),f517(x24183,x24184,x24185,x24186,x24187,x24188,x24189,x24182))
% 199.29/199.25 [2419]~E(x24191,x24192)+E(f372(x24191),f372(x24192))
% 199.29/199.25 [2420]~E(x24201,x24202)+E(f604(x24201,x24203,x24204),f604(x24202,x24203,x24204))
% 199.29/199.25 [2421]~E(x24211,x24212)+E(f604(x24213,x24211,x24214),f604(x24213,x24212,x24214))
% 199.29/199.25 [2422]~E(x24221,x24222)+E(f604(x24223,x24224,x24221),f604(x24223,x24224,x24222))
% 199.29/199.25 [2423]~E(x24231,x24232)+E(f450(x24231,x24233,x24234),f450(x24232,x24233,x24234))
% 199.29/199.25 [2424]~E(x24241,x24242)+E(f450(x24243,x24241,x24244),f450(x24243,x24242,x24244))
% 199.29/199.25 [2425]~E(x24251,x24252)+E(f450(x24253,x24254,x24251),f450(x24253,x24254,x24252))
% 199.29/199.25 [2426]~E(x24261,x24262)+E(f702(x24261,x24263,x24264,x24265,x24266),f702(x24262,x24263,x24264,x24265,x24266))
% 199.29/199.25 [2427]~E(x24271,x24272)+E(f702(x24273,x24271,x24274,x24275,x24276),f702(x24273,x24272,x24274,x24275,x24276))
% 199.29/199.25 [2428]~E(x24281,x24282)+E(f702(x24283,x24284,x24281,x24285,x24286),f702(x24283,x24284,x24282,x24285,x24286))
% 199.29/199.25 [2429]~E(x24291,x24292)+E(f702(x24293,x24294,x24295,x24291,x24296),f702(x24293,x24294,x24295,x24292,x24296))
% 199.29/199.25 [2430]~E(x24301,x24302)+E(f702(x24303,x24304,x24305,x24306,x24301),f702(x24303,x24304,x24305,x24306,x24302))
% 199.29/199.25 [2431]~E(x24311,x24312)+E(f466(x24311,x24313,x24314,x24315),f466(x24312,x24313,x24314,x24315))
% 199.29/199.25 [2432]~E(x24321,x24322)+E(f466(x24323,x24321,x24324,x24325),f466(x24323,x24322,x24324,x24325))
% 199.29/199.25 [2433]~E(x24331,x24332)+E(f466(x24333,x24334,x24331,x24335),f466(x24333,x24334,x24332,x24335))
% 199.29/199.25 [2434]~E(x24341,x24342)+E(f466(x24343,x24344,x24345,x24341),f466(x24343,x24344,x24345,x24342))
% 199.29/199.25 [2435]~E(x24351,x24352)+E(f807(x24351,x24353,x24354,x24355,x24356,x24357),f807(x24352,x24353,x24354,x24355,x24356,x24357))
% 199.29/199.25 [2436]~E(x24361,x24362)+E(f807(x24363,x24361,x24364,x24365,x24366,x24367),f807(x24363,x24362,x24364,x24365,x24366,x24367))
% 199.29/199.25 [2437]~E(x24371,x24372)+E(f807(x24373,x24374,x24371,x24375,x24376,x24377),f807(x24373,x24374,x24372,x24375,x24376,x24377))
% 199.29/199.25 [2438]~E(x24381,x24382)+E(f807(x24383,x24384,x24385,x24381,x24386,x24387),f807(x24383,x24384,x24385,x24382,x24386,x24387))
% 199.29/199.25 [2439]~E(x24391,x24392)+E(f807(x24393,x24394,x24395,x24396,x24391,x24397),f807(x24393,x24394,x24395,x24396,x24392,x24397))
% 199.29/199.25 [2440]~E(x24401,x24402)+E(f807(x24403,x24404,x24405,x24406,x24407,x24401),f807(x24403,x24404,x24405,x24406,x24407,x24402))
% 199.29/199.25 [2441]~E(x24411,x24412)+E(f730(x24411,x24413,x24414,x24415,x24416,x24417,x24418),f730(x24412,x24413,x24414,x24415,x24416,x24417,x24418))
% 199.29/199.25 [2442]~E(x24421,x24422)+E(f730(x24423,x24421,x24424,x24425,x24426,x24427,x24428),f730(x24423,x24422,x24424,x24425,x24426,x24427,x24428))
% 199.29/199.25 [2443]~E(x24431,x24432)+E(f730(x24433,x24434,x24431,x24435,x24436,x24437,x24438),f730(x24433,x24434,x24432,x24435,x24436,x24437,x24438))
% 199.29/199.25 [2444]~E(x24441,x24442)+E(f730(x24443,x24444,x24445,x24441,x24446,x24447,x24448),f730(x24443,x24444,x24445,x24442,x24446,x24447,x24448))
% 199.29/199.25 [2445]~E(x24451,x24452)+E(f730(x24453,x24454,x24455,x24456,x24451,x24457,x24458),f730(x24453,x24454,x24455,x24456,x24452,x24457,x24458))
% 199.29/199.25 [2446]~E(x24461,x24462)+E(f730(x24463,x24464,x24465,x24466,x24467,x24461,x24468),f730(x24463,x24464,x24465,x24466,x24467,x24462,x24468))
% 199.29/199.25 [2447]~E(x24471,x24472)+E(f730(x24473,x24474,x24475,x24476,x24477,x24478,x24471),f730(x24473,x24474,x24475,x24476,x24477,x24478,x24472))
% 199.29/199.25 [2448]~E(x24481,x24482)+E(f673(x24481,x24483,x24484),f673(x24482,x24483,x24484))
% 199.29/199.25 [2449]~E(x24491,x24492)+E(f673(x24493,x24491,x24494),f673(x24493,x24492,x24494))
% 199.29/199.25 [2450]~E(x24501,x24502)+E(f673(x24503,x24504,x24501),f673(x24503,x24504,x24502))
% 199.29/199.25 [2451]~E(x24511,x24512)+E(f269(x24511,x24513,x24514,x24515),f269(x24512,x24513,x24514,x24515))
% 199.29/199.25 [2452]~E(x24521,x24522)+E(f269(x24523,x24521,x24524,x24525),f269(x24523,x24522,x24524,x24525))
% 199.29/199.25 [2453]~E(x24531,x24532)+E(f269(x24533,x24534,x24531,x24535),f269(x24533,x24534,x24532,x24535))
% 199.29/199.25 [2454]~E(x24541,x24542)+E(f269(x24543,x24544,x24545,x24541),f269(x24543,x24544,x24545,x24542))
% 199.29/199.25 [2455]~E(x24551,x24552)+E(f626(x24551,x24553,x24554,x24555,x24556),f626(x24552,x24553,x24554,x24555,x24556))
% 199.29/199.25 [2456]~E(x24561,x24562)+E(f626(x24563,x24561,x24564,x24565,x24566),f626(x24563,x24562,x24564,x24565,x24566))
% 199.29/199.25 [2457]~E(x24571,x24572)+E(f626(x24573,x24574,x24571,x24575,x24576),f626(x24573,x24574,x24572,x24575,x24576))
% 199.29/199.25 [2458]~E(x24581,x24582)+E(f626(x24583,x24584,x24585,x24581,x24586),f626(x24583,x24584,x24585,x24582,x24586))
% 199.29/199.25 [2459]~E(x24591,x24592)+E(f626(x24593,x24594,x24595,x24596,x24591),f626(x24593,x24594,x24595,x24596,x24592))
% 199.29/199.25 [2460]~E(x24601,x24602)+E(f732(x24601,x24603,x24604),f732(x24602,x24603,x24604))
% 199.29/199.25 [2461]~E(x24611,x24612)+E(f732(x24613,x24611,x24614),f732(x24613,x24612,x24614))
% 199.29/199.25 [2462]~E(x24621,x24622)+E(f732(x24623,x24624,x24621),f732(x24623,x24624,x24622))
% 199.29/199.25 [2463]~E(x24631,x24632)+E(f391(x24631,x24633),f391(x24632,x24633))
% 199.29/199.25 [2464]~E(x24641,x24642)+E(f391(x24643,x24641),f391(x24643,x24642))
% 199.29/199.25 [2465]~E(x24651,x24652)+E(f829(x24651,x24653,x24654,x24655,x24656,x24657,x24658,x24659),f829(x24652,x24653,x24654,x24655,x24656,x24657,x24658,x24659))
% 199.29/199.25 [2466]~E(x24661,x24662)+E(f829(x24663,x24661,x24664,x24665,x24666,x24667,x24668,x24669),f829(x24663,x24662,x24664,x24665,x24666,x24667,x24668,x24669))
% 199.29/199.25 [2467]~E(x24671,x24672)+E(f829(x24673,x24674,x24671,x24675,x24676,x24677,x24678,x24679),f829(x24673,x24674,x24672,x24675,x24676,x24677,x24678,x24679))
% 199.29/199.25 [2468]~E(x24681,x24682)+E(f829(x24683,x24684,x24685,x24681,x24686,x24687,x24688,x24689),f829(x24683,x24684,x24685,x24682,x24686,x24687,x24688,x24689))
% 199.29/199.25 [2469]~E(x24691,x24692)+E(f829(x24693,x24694,x24695,x24696,x24691,x24697,x24698,x24699),f829(x24693,x24694,x24695,x24696,x24692,x24697,x24698,x24699))
% 199.29/199.25 [2470]~E(x24701,x24702)+E(f829(x24703,x24704,x24705,x24706,x24707,x24701,x24708,x24709),f829(x24703,x24704,x24705,x24706,x24707,x24702,x24708,x24709))
% 199.29/199.25 [2471]~E(x24711,x24712)+E(f829(x24713,x24714,x24715,x24716,x24717,x24718,x24711,x24719),f829(x24713,x24714,x24715,x24716,x24717,x24718,x24712,x24719))
% 199.29/199.25 [2472]~E(x24721,x24722)+E(f829(x24723,x24724,x24725,x24726,x24727,x24728,x24729,x24721),f829(x24723,x24724,x24725,x24726,x24727,x24728,x24729,x24722))
% 199.29/199.25 [2473]~E(x24731,x24732)+E(f674(x24731,x24733,x24734),f674(x24732,x24733,x24734))
% 199.29/199.25 [2474]~E(x24741,x24742)+E(f674(x24743,x24741,x24744),f674(x24743,x24742,x24744))
% 199.29/199.25 [2475]~E(x24751,x24752)+E(f674(x24753,x24754,x24751),f674(x24753,x24754,x24752))
% 199.29/199.25 [2476]~E(x24761,x24762)+E(f188(x24761,x24763,x24764,x24765),f188(x24762,x24763,x24764,x24765))
% 199.29/199.25 [2477]~E(x24771,x24772)+E(f188(x24773,x24771,x24774,x24775),f188(x24773,x24772,x24774,x24775))
% 199.29/199.25 [2478]~E(x24781,x24782)+E(f188(x24783,x24784,x24781,x24785),f188(x24783,x24784,x24782,x24785))
% 199.29/199.25 [2479]~E(x24791,x24792)+E(f188(x24793,x24794,x24795,x24791),f188(x24793,x24794,x24795,x24792))
% 199.29/199.25 [2480]~E(x24801,x24802)+E(f19(x24801,x24803,x24804,x24805),f19(x24802,x24803,x24804,x24805))
% 199.29/199.25 [2481]~E(x24811,x24812)+E(f19(x24813,x24811,x24814,x24815),f19(x24813,x24812,x24814,x24815))
% 199.29/199.25 [2482]~E(x24821,x24822)+E(f19(x24823,x24824,x24821,x24825),f19(x24823,x24824,x24822,x24825))
% 199.29/199.25 [2483]~E(x24831,x24832)+E(f19(x24833,x24834,x24835,x24831),f19(x24833,x24834,x24835,x24832))
% 199.29/199.25 [2484]~E(x24841,x24842)+E(f227(x24841,x24843),f227(x24842,x24843))
% 199.29/199.25 [2485]~E(x24851,x24852)+E(f227(x24853,x24851),f227(x24853,x24852))
% 199.29/199.25 [2486]~E(x24861,x24862)+E(f687(x24861,x24863,x24864),f687(x24862,x24863,x24864))
% 199.29/199.25 [2487]~E(x24871,x24872)+E(f687(x24873,x24871,x24874),f687(x24873,x24872,x24874))
% 199.29/199.25 [2488]~E(x24881,x24882)+E(f687(x24883,x24884,x24881),f687(x24883,x24884,x24882))
% 199.29/199.25 [2489]~E(x24891,x24892)+E(f791(x24891,x24893),f791(x24892,x24893))
% 199.29/199.25 [2490]~E(x24901,x24902)+E(f791(x24903,x24901),f791(x24903,x24902))
% 199.29/199.25 [2491]~E(x24911,x24912)+E(f772(x24911,x24913,x24914,x24915,x24916,x24917,x24918),f772(x24912,x24913,x24914,x24915,x24916,x24917,x24918))
% 199.29/199.25 [2492]~E(x24921,x24922)+E(f772(x24923,x24921,x24924,x24925,x24926,x24927,x24928),f772(x24923,x24922,x24924,x24925,x24926,x24927,x24928))
% 199.29/199.25 [2493]~E(x24931,x24932)+E(f772(x24933,x24934,x24931,x24935,x24936,x24937,x24938),f772(x24933,x24934,x24932,x24935,x24936,x24937,x24938))
% 199.29/199.25 [2494]~E(x24941,x24942)+E(f772(x24943,x24944,x24945,x24941,x24946,x24947,x24948),f772(x24943,x24944,x24945,x24942,x24946,x24947,x24948))
% 199.29/199.25 [2495]~E(x24951,x24952)+E(f772(x24953,x24954,x24955,x24956,x24951,x24957,x24958),f772(x24953,x24954,x24955,x24956,x24952,x24957,x24958))
% 199.29/199.25 [2496]~E(x24961,x24962)+E(f772(x24963,x24964,x24965,x24966,x24967,x24961,x24968),f772(x24963,x24964,x24965,x24966,x24967,x24962,x24968))
% 199.29/199.25 [2497]~E(x24971,x24972)+E(f772(x24973,x24974,x24975,x24976,x24977,x24978,x24971),f772(x24973,x24974,x24975,x24976,x24977,x24978,x24972))
% 199.29/199.25 [2498]~E(x24981,x24982)+E(f641(x24981,x24983,x24984),f641(x24982,x24983,x24984))
% 199.29/199.25 [2499]~E(x24991,x24992)+E(f641(x24993,x24991,x24994),f641(x24993,x24992,x24994))
% 199.29/199.25 [2500]~E(x25001,x25002)+E(f641(x25003,x25004,x25001),f641(x25003,x25004,x25002))
% 199.29/199.25 [2501]~E(x25011,x25012)+E(f347(x25011,x25013,x25014,x25015,x25016),f347(x25012,x25013,x25014,x25015,x25016))
% 199.29/199.25 [2502]~E(x25021,x25022)+E(f347(x25023,x25021,x25024,x25025,x25026),f347(x25023,x25022,x25024,x25025,x25026))
% 199.29/199.25 [2503]~E(x25031,x25032)+E(f347(x25033,x25034,x25031,x25035,x25036),f347(x25033,x25034,x25032,x25035,x25036))
% 199.29/199.25 [2504]~E(x25041,x25042)+E(f347(x25043,x25044,x25045,x25041,x25046),f347(x25043,x25044,x25045,x25042,x25046))
% 199.29/199.25 [2505]~E(x25051,x25052)+E(f347(x25053,x25054,x25055,x25056,x25051),f347(x25053,x25054,x25055,x25056,x25052))
% 199.29/199.25 [2506]~E(x25061,x25062)+E(f444(x25061,x25063,x25064),f444(x25062,x25063,x25064))
% 199.29/199.25 [2507]~E(x25071,x25072)+E(f444(x25073,x25071,x25074),f444(x25073,x25072,x25074))
% 199.29/199.25 [2508]~E(x25081,x25082)+E(f444(x25083,x25084,x25081),f444(x25083,x25084,x25082))
% 199.29/199.25 [2509]~E(x25091,x25092)+E(f200(x25091,x25093,x25094,x25095),f200(x25092,x25093,x25094,x25095))
% 199.29/199.25 [2510]~E(x25101,x25102)+E(f200(x25103,x25101,x25104,x25105),f200(x25103,x25102,x25104,x25105))
% 199.29/199.25 [2511]~E(x25111,x25112)+E(f200(x25113,x25114,x25111,x25115),f200(x25113,x25114,x25112,x25115))
% 199.29/199.25 [2512]~E(x25121,x25122)+E(f200(x25123,x25124,x25125,x25121),f200(x25123,x25124,x25125,x25122))
% 199.29/199.25 [2513]~E(x25131,x25132)+E(f385(x25131,x25133),f385(x25132,x25133))
% 199.29/199.25 [2514]~E(x25141,x25142)+E(f385(x25143,x25141),f385(x25143,x25142))
% 199.29/199.25 [2515]~E(x25151,x25152)+E(f738(x25151,x25153,x25154),f738(x25152,x25153,x25154))
% 199.29/199.25 [2516]~E(x25161,x25162)+E(f738(x25163,x25161,x25164),f738(x25163,x25162,x25164))
% 199.29/199.25 [2517]~E(x25171,x25172)+E(f738(x25173,x25174,x25171),f738(x25173,x25174,x25172))
% 199.29/199.25 [2518]~E(x25181,x25182)+E(f164(x25181,x25183,x25184),f164(x25182,x25183,x25184))
% 199.29/199.25 [2519]~E(x25191,x25192)+E(f164(x25193,x25191,x25194),f164(x25193,x25192,x25194))
% 199.29/199.25 [2520]~E(x25201,x25202)+E(f164(x25203,x25204,x25201),f164(x25203,x25204,x25202))
% 199.29/199.25 [2521]~E(x25211,x25212)+E(f611(x25211,x25213,x25214),f611(x25212,x25213,x25214))
% 199.29/199.25 [2522]~E(x25221,x25222)+E(f611(x25223,x25221,x25224),f611(x25223,x25222,x25224))
% 199.29/199.25 [2523]~E(x25231,x25232)+E(f611(x25233,x25234,x25231),f611(x25233,x25234,x25232))
% 199.29/199.25 [2524]~E(x25241,x25242)+E(f798(x25241,x25243,x25244),f798(x25242,x25243,x25244))
% 199.29/199.25 [2525]~E(x25251,x25252)+E(f798(x25253,x25251,x25254),f798(x25253,x25252,x25254))
% 199.29/199.25 [2526]~E(x25261,x25262)+E(f798(x25263,x25264,x25261),f798(x25263,x25264,x25262))
% 199.29/199.25 [2527]~E(x25271,x25272)+E(f373(x25271),f373(x25272))
% 199.29/199.25 [2528]~E(x25281,x25282)+E(f399(x25281,x25283,x25284,x25285),f399(x25282,x25283,x25284,x25285))
% 199.29/199.25 [2529]~E(x25291,x25292)+E(f399(x25293,x25291,x25294,x25295),f399(x25293,x25292,x25294,x25295))
% 199.29/199.25 [2530]~E(x25301,x25302)+E(f399(x25303,x25304,x25301,x25305),f399(x25303,x25304,x25302,x25305))
% 199.29/199.25 [2531]~E(x25311,x25312)+E(f399(x25313,x25314,x25315,x25311),f399(x25313,x25314,x25315,x25312))
% 199.29/199.25 [2532]~E(x25321,x25322)+E(f620(x25321,x25323,x25324,x25325,x25326),f620(x25322,x25323,x25324,x25325,x25326))
% 199.29/199.25 [2533]~E(x25331,x25332)+E(f620(x25333,x25331,x25334,x25335,x25336),f620(x25333,x25332,x25334,x25335,x25336))
% 199.29/199.25 [2534]~E(x25341,x25342)+E(f620(x25343,x25344,x25341,x25345,x25346),f620(x25343,x25344,x25342,x25345,x25346))
% 199.29/199.25 [2535]~E(x25351,x25352)+E(f620(x25353,x25354,x25355,x25351,x25356),f620(x25353,x25354,x25355,x25352,x25356))
% 199.29/199.25 [2536]~E(x25361,x25362)+E(f620(x25363,x25364,x25365,x25366,x25361),f620(x25363,x25364,x25365,x25366,x25362))
% 199.29/199.25 [2537]~E(x25371,x25372)+E(f629(x25371,x25373,x25374,x25375,x25376,x25377),f629(x25372,x25373,x25374,x25375,x25376,x25377))
% 199.29/199.25 [2538]~E(x25381,x25382)+E(f629(x25383,x25381,x25384,x25385,x25386,x25387),f629(x25383,x25382,x25384,x25385,x25386,x25387))
% 199.29/199.25 [2539]~E(x25391,x25392)+E(f629(x25393,x25394,x25391,x25395,x25396,x25397),f629(x25393,x25394,x25392,x25395,x25396,x25397))
% 199.29/199.25 [2540]~E(x25401,x25402)+E(f629(x25403,x25404,x25405,x25401,x25406,x25407),f629(x25403,x25404,x25405,x25402,x25406,x25407))
% 199.29/199.25 [2541]~E(x25411,x25412)+E(f629(x25413,x25414,x25415,x25416,x25411,x25417),f629(x25413,x25414,x25415,x25416,x25412,x25417))
% 199.29/199.25 [2542]~E(x25421,x25422)+E(f629(x25423,x25424,x25425,x25426,x25427,x25421),f629(x25423,x25424,x25425,x25426,x25427,x25422))
% 199.29/199.25 [2543]~E(x25431,x25432)+E(f681(x25431,x25433,x25434,x25435,x25436),f681(x25432,x25433,x25434,x25435,x25436))
% 199.29/199.25 [2544]~E(x25441,x25442)+E(f681(x25443,x25441,x25444,x25445,x25446),f681(x25443,x25442,x25444,x25445,x25446))
% 199.29/199.25 [2545]~E(x25451,x25452)+E(f681(x25453,x25454,x25451,x25455,x25456),f681(x25453,x25454,x25452,x25455,x25456))
% 199.29/199.25 [2546]~E(x25461,x25462)+E(f681(x25463,x25464,x25465,x25461,x25466),f681(x25463,x25464,x25465,x25462,x25466))
% 199.29/199.25 [2547]~E(x25471,x25472)+E(f681(x25473,x25474,x25475,x25476,x25471),f681(x25473,x25474,x25475,x25476,x25472))
% 199.29/199.25 [2548]~E(x25481,x25482)+E(f686(x25481,x25483,x25484),f686(x25482,x25483,x25484))
% 199.29/199.25 [2549]~E(x25491,x25492)+E(f686(x25493,x25491,x25494),f686(x25493,x25492,x25494))
% 199.29/199.25 [2550]~E(x25501,x25502)+E(f686(x25503,x25504,x25501),f686(x25503,x25504,x25502))
% 199.29/199.25 [2551]~E(x25511,x25512)+E(f723(x25511,x25513,x25514,x25515,x25516),f723(x25512,x25513,x25514,x25515,x25516))
% 199.29/199.25 [2552]~E(x25521,x25522)+E(f723(x25523,x25521,x25524,x25525,x25526),f723(x25523,x25522,x25524,x25525,x25526))
% 199.29/199.25 [2553]~E(x25531,x25532)+E(f723(x25533,x25534,x25531,x25535,x25536),f723(x25533,x25534,x25532,x25535,x25536))
% 199.29/199.25 [2554]~E(x25541,x25542)+E(f723(x25543,x25544,x25545,x25541,x25546),f723(x25543,x25544,x25545,x25542,x25546))
% 199.29/199.25 [2555]~E(x25551,x25552)+E(f723(x25553,x25554,x25555,x25556,x25551),f723(x25553,x25554,x25555,x25556,x25552))
% 199.29/199.25 [2556]~E(x25561,x25562)+E(f465(x25561,x25563,x25564,x25565,x25566),f465(x25562,x25563,x25564,x25565,x25566))
% 199.29/199.25 [2557]~E(x25571,x25572)+E(f465(x25573,x25571,x25574,x25575,x25576),f465(x25573,x25572,x25574,x25575,x25576))
% 199.29/199.25 [2558]~E(x25581,x25582)+E(f465(x25583,x25584,x25581,x25585,x25586),f465(x25583,x25584,x25582,x25585,x25586))
% 199.29/199.25 [2559]~E(x25591,x25592)+E(f465(x25593,x25594,x25595,x25591,x25596),f465(x25593,x25594,x25595,x25592,x25596))
% 199.29/199.25 [2560]~E(x25601,x25602)+E(f465(x25603,x25604,x25605,x25606,x25601),f465(x25603,x25604,x25605,x25606,x25602))
% 199.29/199.25 [2561]~E(x25611,x25612)+E(f197(x25611,x25613,x25614,x25615),f197(x25612,x25613,x25614,x25615))
% 199.29/199.25 [2562]~E(x25621,x25622)+E(f197(x25623,x25621,x25624,x25625),f197(x25623,x25622,x25624,x25625))
% 199.29/199.25 [2563]~E(x25631,x25632)+E(f197(x25633,x25634,x25631,x25635),f197(x25633,x25634,x25632,x25635))
% 199.29/199.25 [2564]~E(x25641,x25642)+E(f197(x25643,x25644,x25645,x25641),f197(x25643,x25644,x25645,x25642))
% 199.29/199.25 [2565]~E(x25651,x25652)+E(f339(x25651,x25653,x25654,x25655,x25656),f339(x25652,x25653,x25654,x25655,x25656))
% 199.29/199.25 [2566]~E(x25661,x25662)+E(f339(x25663,x25661,x25664,x25665,x25666),f339(x25663,x25662,x25664,x25665,x25666))
% 199.29/199.25 [2567]~E(x25671,x25672)+E(f339(x25673,x25674,x25671,x25675,x25676),f339(x25673,x25674,x25672,x25675,x25676))
% 199.29/199.25 [2568]~E(x25681,x25682)+E(f339(x25683,x25684,x25685,x25681,x25686),f339(x25683,x25684,x25685,x25682,x25686))
% 199.29/199.25 [2569]~E(x25691,x25692)+E(f339(x25693,x25694,x25695,x25696,x25691),f339(x25693,x25694,x25695,x25696,x25692))
% 199.29/199.25 [2570]~E(x25701,x25702)+E(f775(x25701,x25703,x25704,x25705),f775(x25702,x25703,x25704,x25705))
% 199.29/199.25 [2571]~E(x25711,x25712)+E(f775(x25713,x25711,x25714,x25715),f775(x25713,x25712,x25714,x25715))
% 199.29/199.25 [2572]~E(x25721,x25722)+E(f775(x25723,x25724,x25721,x25725),f775(x25723,x25724,x25722,x25725))
% 199.29/199.25 [2573]~E(x25731,x25732)+E(f775(x25733,x25734,x25735,x25731),f775(x25733,x25734,x25735,x25732))
% 199.29/199.25 [2574]~E(x25741,x25742)+E(f551(x25741,x25743,x25744),f551(x25742,x25743,x25744))
% 199.29/199.25 [2575]~E(x25751,x25752)+E(f551(x25753,x25751,x25754),f551(x25753,x25752,x25754))
% 199.29/199.25 [2576]~E(x25761,x25762)+E(f551(x25763,x25764,x25761),f551(x25763,x25764,x25762))
% 199.29/199.25 [2577]~E(x25771,x25772)+E(f281(x25771,x25773),f281(x25772,x25773))
% 199.29/199.25 [2578]~E(x25781,x25782)+E(f281(x25783,x25781),f281(x25783,x25782))
% 199.29/199.25 [2579]~E(x25791,x25792)+E(f369(x25791,x25793,x25794,x25795),f369(x25792,x25793,x25794,x25795))
% 199.29/199.25 [2580]~E(x25801,x25802)+E(f369(x25803,x25801,x25804,x25805),f369(x25803,x25802,x25804,x25805))
% 199.29/199.25 [2581]~E(x25811,x25812)+E(f369(x25813,x25814,x25811,x25815),f369(x25813,x25814,x25812,x25815))
% 199.29/199.25 [2582]~E(x25821,x25822)+E(f369(x25823,x25824,x25825,x25821),f369(x25823,x25824,x25825,x25822))
% 199.29/199.25 [2583]~E(x25831,x25832)+E(f530(x25831,x25833,x25834,x25835,x25836,x25837),f530(x25832,x25833,x25834,x25835,x25836,x25837))
% 199.29/199.25 [2584]~E(x25841,x25842)+E(f530(x25843,x25841,x25844,x25845,x25846,x25847),f530(x25843,x25842,x25844,x25845,x25846,x25847))
% 199.29/199.25 [2585]~E(x25851,x25852)+E(f530(x25853,x25854,x25851,x25855,x25856,x25857),f530(x25853,x25854,x25852,x25855,x25856,x25857))
% 199.29/199.25 [2586]~E(x25861,x25862)+E(f530(x25863,x25864,x25865,x25861,x25866,x25867),f530(x25863,x25864,x25865,x25862,x25866,x25867))
% 199.29/199.25 [2587]~E(x25871,x25872)+E(f530(x25873,x25874,x25875,x25876,x25871,x25877),f530(x25873,x25874,x25875,x25876,x25872,x25877))
% 199.29/199.25 [2588]~E(x25881,x25882)+E(f530(x25883,x25884,x25885,x25886,x25887,x25881),f530(x25883,x25884,x25885,x25886,x25887,x25882))
% 199.29/199.25 [2589]~E(x25891,x25892)+E(f343(x25891),f343(x25892))
% 199.29/199.25 [2590]~E(x25901,x25902)+E(f576(x25901,x25903,x25904,x25905,x25906,x25907),f576(x25902,x25903,x25904,x25905,x25906,x25907))
% 199.29/199.25 [2591]~E(x25911,x25912)+E(f576(x25913,x25911,x25914,x25915,x25916,x25917),f576(x25913,x25912,x25914,x25915,x25916,x25917))
% 199.29/199.25 [2592]~E(x25921,x25922)+E(f576(x25923,x25924,x25921,x25925,x25926,x25927),f576(x25923,x25924,x25922,x25925,x25926,x25927))
% 199.29/199.25 [2593]~E(x25931,x25932)+E(f576(x25933,x25934,x25935,x25931,x25936,x25937),f576(x25933,x25934,x25935,x25932,x25936,x25937))
% 199.29/199.25 [2594]~E(x25941,x25942)+E(f576(x25943,x25944,x25945,x25946,x25941,x25947),f576(x25943,x25944,x25945,x25946,x25942,x25947))
% 199.29/199.25 [2595]~E(x25951,x25952)+E(f576(x25953,x25954,x25955,x25956,x25957,x25951),f576(x25953,x25954,x25955,x25956,x25957,x25952))
% 199.29/199.25 [2596]~E(x25961,x25962)+E(f670(x25961,x25963,x25964,x25965),f670(x25962,x25963,x25964,x25965))
% 199.29/199.25 [2597]~E(x25971,x25972)+E(f670(x25973,x25971,x25974,x25975),f670(x25973,x25972,x25974,x25975))
% 199.29/199.25 [2598]~E(x25981,x25982)+E(f670(x25983,x25984,x25981,x25985),f670(x25983,x25984,x25982,x25985))
% 199.29/199.25 [2599]~E(x25991,x25992)+E(f670(x25993,x25994,x25995,x25991),f670(x25993,x25994,x25995,x25992))
% 199.29/199.25 [2600]~E(x26001,x26002)+E(f483(x26001,x26003,x26004,x26005,x26006,x26007,x26008),f483(x26002,x26003,x26004,x26005,x26006,x26007,x26008))
% 199.29/199.25 [2601]~E(x26011,x26012)+E(f483(x26013,x26011,x26014,x26015,x26016,x26017,x26018),f483(x26013,x26012,x26014,x26015,x26016,x26017,x26018))
% 199.29/199.25 [2602]~E(x26021,x26022)+E(f483(x26023,x26024,x26021,x26025,x26026,x26027,x26028),f483(x26023,x26024,x26022,x26025,x26026,x26027,x26028))
% 199.29/199.25 [2603]~E(x26031,x26032)+E(f483(x26033,x26034,x26035,x26031,x26036,x26037,x26038),f483(x26033,x26034,x26035,x26032,x26036,x26037,x26038))
% 199.29/199.25 [2604]~E(x26041,x26042)+E(f483(x26043,x26044,x26045,x26046,x26041,x26047,x26048),f483(x26043,x26044,x26045,x26046,x26042,x26047,x26048))
% 199.29/199.25 [2605]~E(x26051,x26052)+E(f483(x26053,x26054,x26055,x26056,x26057,x26051,x26058),f483(x26053,x26054,x26055,x26056,x26057,x26052,x26058))
% 199.29/199.25 [2606]~E(x26061,x26062)+E(f483(x26063,x26064,x26065,x26066,x26067,x26068,x26061),f483(x26063,x26064,x26065,x26066,x26067,x26068,x26062))
% 199.29/199.25 [2607]~E(x26071,x26072)+E(f708(x26071,x26073),f708(x26072,x26073))
% 199.29/199.25 [2608]~E(x26081,x26082)+E(f708(x26083,x26081),f708(x26083,x26082))
% 199.29/199.25 [2609]~E(x26091,x26092)+E(f628(x26091,x26093,x26094,x26095,x26096,x26097),f628(x26092,x26093,x26094,x26095,x26096,x26097))
% 199.29/199.25 [2610]~E(x26101,x26102)+E(f628(x26103,x26101,x26104,x26105,x26106,x26107),f628(x26103,x26102,x26104,x26105,x26106,x26107))
% 199.29/199.25 [2611]~E(x26111,x26112)+E(f628(x26113,x26114,x26111,x26115,x26116,x26117),f628(x26113,x26114,x26112,x26115,x26116,x26117))
% 199.29/199.25 [2612]~E(x26121,x26122)+E(f628(x26123,x26124,x26125,x26121,x26126,x26127),f628(x26123,x26124,x26125,x26122,x26126,x26127))
% 199.29/199.25 [2613]~E(x26131,x26132)+E(f628(x26133,x26134,x26135,x26136,x26131,x26137),f628(x26133,x26134,x26135,x26136,x26132,x26137))
% 199.29/199.25 [2614]~E(x26141,x26142)+E(f628(x26143,x26144,x26145,x26146,x26147,x26141),f628(x26143,x26144,x26145,x26146,x26147,x26142))
% 199.29/199.25 [2615]~E(x26151,x26152)+E(f697(x26151,x26153,x26154),f697(x26152,x26153,x26154))
% 199.29/199.25 [2616]~E(x26161,x26162)+E(f697(x26163,x26161,x26164),f697(x26163,x26162,x26164))
% 199.29/199.25 [2617]~E(x26171,x26172)+E(f697(x26173,x26174,x26171),f697(x26173,x26174,x26172))
% 199.29/199.25 [2618]~E(x26181,x26182)+E(f398(x26181,x26183,x26184,x26185),f398(x26182,x26183,x26184,x26185))
% 199.29/199.25 [2619]~E(x26191,x26192)+E(f398(x26193,x26191,x26194,x26195),f398(x26193,x26192,x26194,x26195))
% 199.29/199.25 [2620]~E(x26201,x26202)+E(f398(x26203,x26204,x26201,x26205),f398(x26203,x26204,x26202,x26205))
% 199.29/199.25 [2621]~E(x26211,x26212)+E(f398(x26213,x26214,x26215,x26211),f398(x26213,x26214,x26215,x26212))
% 199.29/199.25 [2622]~E(x26221,x26222)+E(f443(x26221,x26223,x26224),f443(x26222,x26223,x26224))
% 199.29/199.25 [2623]~E(x26231,x26232)+E(f443(x26233,x26231,x26234),f443(x26233,x26232,x26234))
% 199.29/199.25 [2624]~E(x26241,x26242)+E(f443(x26243,x26244,x26241),f443(x26243,x26244,x26242))
% 199.29/199.25 [2625]~E(x26251,x26252)+E(f682(x26251,x26253,x26254,x26255,x26256),f682(x26252,x26253,x26254,x26255,x26256))
% 199.29/199.25 [2626]~E(x26261,x26262)+E(f682(x26263,x26261,x26264,x26265,x26266),f682(x26263,x26262,x26264,x26265,x26266))
% 199.29/199.25 [2627]~E(x26271,x26272)+E(f682(x26273,x26274,x26271,x26275,x26276),f682(x26273,x26274,x26272,x26275,x26276))
% 199.29/199.25 [2628]~E(x26281,x26282)+E(f682(x26283,x26284,x26285,x26281,x26286),f682(x26283,x26284,x26285,x26282,x26286))
% 199.29/199.25 [2629]~E(x26291,x26292)+E(f682(x26293,x26294,x26295,x26296,x26291),f682(x26293,x26294,x26295,x26296,x26292))
% 199.29/199.25 [2630]~E(x26301,x26302)+E(f844(x26301,x26303,x26304),f844(x26302,x26303,x26304))
% 199.29/199.25 [2631]~E(x26311,x26312)+E(f844(x26313,x26311,x26314),f844(x26313,x26312,x26314))
% 199.29/199.25 [2632]~E(x26321,x26322)+E(f844(x26323,x26324,x26321),f844(x26323,x26324,x26322))
% 199.29/199.25 [2633]~E(x26331,x26332)+E(f456(x26331,x26333,x26334),f456(x26332,x26333,x26334))
% 199.29/199.25 [2634]~E(x26341,x26342)+E(f456(x26343,x26341,x26344),f456(x26343,x26342,x26344))
% 199.29/199.25 [2635]~E(x26351,x26352)+E(f456(x26353,x26354,x26351),f456(x26353,x26354,x26352))
% 199.29/199.25 [2636]~E(x26361,x26362)+E(f665(x26361,x26363,x26364,x26365,x26366),f665(x26362,x26363,x26364,x26365,x26366))
% 199.29/199.25 [2637]~E(x26371,x26372)+E(f665(x26373,x26371,x26374,x26375,x26376),f665(x26373,x26372,x26374,x26375,x26376))
% 199.29/199.25 [2638]~E(x26381,x26382)+E(f665(x26383,x26384,x26381,x26385,x26386),f665(x26383,x26384,x26382,x26385,x26386))
% 199.29/199.25 [2639]~E(x26391,x26392)+E(f665(x26393,x26394,x26395,x26391,x26396),f665(x26393,x26394,x26395,x26392,x26396))
% 199.29/199.25 [2640]~E(x26401,x26402)+E(f665(x26403,x26404,x26405,x26406,x26401),f665(x26403,x26404,x26405,x26406,x26402))
% 199.29/199.25 [2641]~E(x26411,x26412)+E(f114(x26411),f114(x26412))
% 199.29/199.25 [2642]~E(x26421,x26422)+E(f656(x26421,x26423),f656(x26422,x26423))
% 199.29/199.25 [2643]~E(x26431,x26432)+E(f656(x26433,x26431),f656(x26433,x26432))
% 199.29/199.25 [2644]~E(x26441,x26442)+E(f804(x26441,x26443),f804(x26442,x26443))
% 199.29/199.25 [2645]~E(x26451,x26452)+E(f804(x26453,x26451),f804(x26453,x26452))
% 199.29/199.25 [2646]~E(x26461,x26462)+E(f492(x26461),f492(x26462))
% 199.29/199.25 [2647]~E(x26471,x26472)+E(f417(x26471,x26473,x26474,x26475),f417(x26472,x26473,x26474,x26475))
% 199.29/199.25 [2648]~E(x26481,x26482)+E(f417(x26483,x26481,x26484,x26485),f417(x26483,x26482,x26484,x26485))
% 199.29/199.25 [2649]~E(x26491,x26492)+E(f417(x26493,x26494,x26491,x26495),f417(x26493,x26494,x26492,x26495))
% 199.29/199.25 [2650]~E(x26501,x26502)+E(f417(x26503,x26504,x26505,x26501),f417(x26503,x26504,x26505,x26502))
% 199.29/199.25 [2651]~E(x26511,x26512)+E(f344(x26511,x26513),f344(x26512,x26513))
% 199.29/199.25 [2652]~E(x26521,x26522)+E(f344(x26523,x26521),f344(x26523,x26522))
% 199.29/199.25 [2653]~E(x26531,x26532)+E(f704(x26531,x26533,x26534),f704(x26532,x26533,x26534))
% 199.29/199.25 [2654]~E(x26541,x26542)+E(f704(x26543,x26541,x26544),f704(x26543,x26542,x26544))
% 199.29/199.25 [2655]~E(x26551,x26552)+E(f704(x26553,x26554,x26551),f704(x26553,x26554,x26552))
% 199.29/199.25 [2656]~E(x26561,x26562)+E(f783(x26561,x26563),f783(x26562,x26563))
% 199.29/199.25 [2657]~E(x26571,x26572)+E(f783(x26573,x26571),f783(x26573,x26572))
% 199.29/199.25 [2658]~E(x26581,x26582)+E(f196(x26581,x26583,x26584,x26585),f196(x26582,x26583,x26584,x26585))
% 199.29/199.25 [2659]~E(x26591,x26592)+E(f196(x26593,x26591,x26594,x26595),f196(x26593,x26592,x26594,x26595))
% 199.29/199.25 [2660]~E(x26601,x26602)+E(f196(x26603,x26604,x26601,x26605),f196(x26603,x26604,x26602,x26605))
% 199.29/199.25 [2661]~E(x26611,x26612)+E(f196(x26613,x26614,x26615,x26611),f196(x26613,x26614,x26615,x26612))
% 199.29/199.25 [2662]~E(x26621,x26622)+E(f710(x26621,x26623,x26624,x26625),f710(x26622,x26623,x26624,x26625))
% 199.29/199.25 [2663]~E(x26631,x26632)+E(f710(x26633,x26631,x26634,x26635),f710(x26633,x26632,x26634,x26635))
% 199.29/199.25 [2664]~E(x26641,x26642)+E(f710(x26643,x26644,x26641,x26645),f710(x26643,x26644,x26642,x26645))
% 199.29/199.25 [2665]~E(x26651,x26652)+E(f710(x26653,x26654,x26655,x26651),f710(x26653,x26654,x26655,x26652))
% 199.29/199.25 [2666]~E(x26661,x26662)+E(f434(x26661,x26663,x26664),f434(x26662,x26663,x26664))
% 199.29/199.25 [2667]~E(x26671,x26672)+E(f434(x26673,x26671,x26674),f434(x26673,x26672,x26674))
% 199.29/199.25 [2668]~E(x26681,x26682)+E(f434(x26683,x26684,x26681),f434(x26683,x26684,x26682))
% 199.29/199.25 [2669]~E(x26691,x26692)+E(f877(x26691,x26693,x26694),f877(x26692,x26693,x26694))
% 199.29/199.25 [2670]~E(x26701,x26702)+E(f877(x26703,x26701,x26704),f877(x26703,x26702,x26704))
% 199.29/199.25 [2671]~E(x26711,x26712)+E(f877(x26713,x26714,x26711),f877(x26713,x26714,x26712))
% 199.29/199.25 [2672]~E(x26721,x26722)+E(f832(x26721,x26723,x26724,x26725,x26726,x26727),f832(x26722,x26723,x26724,x26725,x26726,x26727))
% 199.29/199.25 [2673]~E(x26731,x26732)+E(f832(x26733,x26731,x26734,x26735,x26736,x26737),f832(x26733,x26732,x26734,x26735,x26736,x26737))
% 199.29/199.25 [2674]~E(x26741,x26742)+E(f832(x26743,x26744,x26741,x26745,x26746,x26747),f832(x26743,x26744,x26742,x26745,x26746,x26747))
% 199.29/199.25 [2675]~E(x26751,x26752)+E(f832(x26753,x26754,x26755,x26751,x26756,x26757),f832(x26753,x26754,x26755,x26752,x26756,x26757))
% 199.29/199.25 [2676]~E(x26761,x26762)+E(f832(x26763,x26764,x26765,x26766,x26761,x26767),f832(x26763,x26764,x26765,x26766,x26762,x26767))
% 199.29/199.25 [2677]~E(x26771,x26772)+E(f832(x26773,x26774,x26775,x26776,x26777,x26771),f832(x26773,x26774,x26775,x26776,x26777,x26772))
% 199.29/199.25 [2678]~E(x26781,x26782)+E(f806(x26781,x26783,x26784,x26785),f806(x26782,x26783,x26784,x26785))
% 199.29/199.25 [2679]~E(x26791,x26792)+E(f806(x26793,x26791,x26794,x26795),f806(x26793,x26792,x26794,x26795))
% 199.29/199.25 [2680]~E(x26801,x26802)+E(f806(x26803,x26804,x26801,x26805),f806(x26803,x26804,x26802,x26805))
% 199.29/199.25 [2681]~E(x26811,x26812)+E(f806(x26813,x26814,x26815,x26811),f806(x26813,x26814,x26815,x26812))
% 199.29/199.25 [2682]~E(x26821,x26822)+E(f411(x26821,x26823,x26824,x26825),f411(x26822,x26823,x26824,x26825))
% 199.29/199.25 [2683]~E(x26831,x26832)+E(f411(x26833,x26831,x26834,x26835),f411(x26833,x26832,x26834,x26835))
% 199.29/199.25 [2684]~E(x26841,x26842)+E(f411(x26843,x26844,x26841,x26845),f411(x26843,x26844,x26842,x26845))
% 199.29/199.25 [2685]~E(x26851,x26852)+E(f411(x26853,x26854,x26855,x26851),f411(x26853,x26854,x26855,x26852))
% 199.29/199.25 [2686]~E(x26861,x26862)+E(f644(x26861,x26863),f644(x26862,x26863))
% 199.29/199.25 [2687]~E(x26871,x26872)+E(f644(x26873,x26871),f644(x26873,x26872))
% 199.29/199.25 [2688]~E(x26881,x26882)+E(f351(x26881,x26883,x26884,x26885,x26886),f351(x26882,x26883,x26884,x26885,x26886))
% 199.29/199.25 [2689]~E(x26891,x26892)+E(f351(x26893,x26891,x26894,x26895,x26896),f351(x26893,x26892,x26894,x26895,x26896))
% 199.29/199.25 [2690]~E(x26901,x26902)+E(f351(x26903,x26904,x26901,x26905,x26906),f351(x26903,x26904,x26902,x26905,x26906))
% 199.29/199.25 [2691]~E(x26911,x26912)+E(f351(x26913,x26914,x26915,x26911,x26916),f351(x26913,x26914,x26915,x26912,x26916))
% 199.29/199.25 [2692]~E(x26921,x26922)+E(f351(x26923,x26924,x26925,x26926,x26921),f351(x26923,x26924,x26925,x26926,x26922))
% 199.29/199.25 [2693]~E(x26931,x26932)+E(f469(x26931,x26933,x26934,x26935),f469(x26932,x26933,x26934,x26935))
% 199.29/199.25 [2694]~E(x26941,x26942)+E(f469(x26943,x26941,x26944,x26945),f469(x26943,x26942,x26944,x26945))
% 199.29/199.25 [2695]~E(x26951,x26952)+E(f469(x26953,x26954,x26951,x26955),f469(x26953,x26954,x26952,x26955))
% 199.29/199.25 [2696]~E(x26961,x26962)+E(f469(x26963,x26964,x26965,x26961),f469(x26963,x26964,x26965,x26962))
% 199.29/199.25 [2697]~E(x26971,x26972)+E(f213(x26971,x26973,x26974),f213(x26972,x26973,x26974))
% 199.29/199.25 [2698]~E(x26981,x26982)+E(f213(x26983,x26981,x26984),f213(x26983,x26982,x26984))
% 199.29/199.25 [2699]~E(x26991,x26992)+E(f213(x26993,x26994,x26991),f213(x26993,x26994,x26992))
% 199.29/199.25 [2700]~E(x27001,x27002)+E(f379(x27001),f379(x27002))
% 199.29/199.25 [2701]~E(x27011,x27012)+E(f851(x27011,x27013,x27014),f851(x27012,x27013,x27014))
% 199.29/199.25 [2702]~E(x27021,x27022)+E(f851(x27023,x27021,x27024),f851(x27023,x27022,x27024))
% 199.29/199.25 [2703]~E(x27031,x27032)+E(f851(x27033,x27034,x27031),f851(x27033,x27034,x27032))
% 199.29/199.25 [2704]~E(x27041,x27042)+E(f647(x27041,x27043),f647(x27042,x27043))
% 199.29/199.25 [2705]~E(x27051,x27052)+E(f647(x27053,x27051),f647(x27053,x27052))
% 199.29/199.25 [2706]~E(x27061,x27062)+E(f544(x27061,x27063),f544(x27062,x27063))
% 199.29/199.25 [2707]~E(x27071,x27072)+E(f544(x27073,x27071),f544(x27073,x27072))
% 199.29/199.25 [2708]~E(x27081,x27082)+E(f384(x27081),f384(x27082))
% 199.29/199.25 [2709]~E(x27091,x27092)+E(f473(x27091,x27093,x27094,x27095,x27096),f473(x27092,x27093,x27094,x27095,x27096))
% 199.29/199.25 [2710]~E(x27101,x27102)+E(f473(x27103,x27101,x27104,x27105,x27106),f473(x27103,x27102,x27104,x27105,x27106))
% 199.29/199.25 [2711]~E(x27111,x27112)+E(f473(x27113,x27114,x27111,x27115,x27116),f473(x27113,x27114,x27112,x27115,x27116))
% 199.29/199.25 [2712]~E(x27121,x27122)+E(f473(x27123,x27124,x27125,x27121,x27126),f473(x27123,x27124,x27125,x27122,x27126))
% 199.29/199.25 [2713]~E(x27131,x27132)+E(f473(x27133,x27134,x27135,x27136,x27131),f473(x27133,x27134,x27135,x27136,x27132))
% 199.29/199.25 [2714]~E(x27141,x27142)+E(f325(x27141),f325(x27142))
% 199.29/199.25 [2715]~E(x27151,x27152)+E(f219(x27151,x27153,x27154),f219(x27152,x27153,x27154))
% 199.29/199.25 [2716]~E(x27161,x27162)+E(f219(x27163,x27161,x27164),f219(x27163,x27162,x27164))
% 199.29/199.25 [2717]~E(x27171,x27172)+E(f219(x27173,x27174,x27171),f219(x27173,x27174,x27172))
% 199.29/199.25 [2718]~E(x27181,x27182)+E(f780(x27181,x27183,x27184,x27185),f780(x27182,x27183,x27184,x27185))
% 199.29/199.25 [2719]~E(x27191,x27192)+E(f780(x27193,x27191,x27194,x27195),f780(x27193,x27192,x27194,x27195))
% 199.29/199.25 [2720]~E(x27201,x27202)+E(f780(x27203,x27204,x27201,x27205),f780(x27203,x27204,x27202,x27205))
% 199.29/199.25 [2721]~E(x27211,x27212)+E(f780(x27213,x27214,x27215,x27211),f780(x27213,x27214,x27215,x27212))
% 199.29/199.25 [2722]~E(x27221,x27222)+E(f748(x27221,x27223,x27224),f748(x27222,x27223,x27224))
% 199.29/199.25 [2723]~E(x27231,x27232)+E(f748(x27233,x27231,x27234),f748(x27233,x27232,x27234))
% 199.29/199.25 [2724]~E(x27241,x27242)+E(f748(x27243,x27244,x27241),f748(x27243,x27244,x27242))
% 199.29/199.25 [2725]~E(x27251,x27252)+E(f534(x27251,x27253),f534(x27252,x27253))
% 199.29/199.25 [2726]~E(x27261,x27262)+E(f534(x27263,x27261),f534(x27263,x27262))
% 199.29/199.25 [2727]~E(x27271,x27272)+E(f584(x27271,x27273),f584(x27272,x27273))
% 199.29/199.25 [2728]~E(x27281,x27282)+E(f584(x27283,x27281),f584(x27283,x27282))
% 199.29/199.25 [2729]~E(x27291,x27292)+E(f716(x27291,x27293),f716(x27292,x27293))
% 199.29/199.25 [2730]~E(x27301,x27302)+E(f716(x27303,x27301),f716(x27303,x27302))
% 199.29/199.25 [2731]~E(x27311,x27312)+E(f693(x27311,x27313,x27314),f693(x27312,x27313,x27314))
% 199.29/199.25 [2732]~E(x27321,x27322)+E(f693(x27323,x27321,x27324),f693(x27323,x27322,x27324))
% 199.29/199.25 [2733]~E(x27331,x27332)+E(f693(x27333,x27334,x27331),f693(x27333,x27334,x27332))
% 199.29/199.25 [2734]~E(x27341,x27342)+E(f220(x27341,x27343,x27344,x27345),f220(x27342,x27343,x27344,x27345))
% 199.29/199.25 [2735]~E(x27351,x27352)+E(f220(x27353,x27351,x27354,x27355),f220(x27353,x27352,x27354,x27355))
% 199.29/199.25 [2736]~E(x27361,x27362)+E(f220(x27363,x27364,x27361,x27365),f220(x27363,x27364,x27362,x27365))
% 199.29/199.25 [2737]~E(x27371,x27372)+E(f220(x27373,x27374,x27375,x27371),f220(x27373,x27374,x27375,x27372))
% 199.29/199.25 [2738]~E(x27381,x27382)+E(f546(x27381,x27383,x27384,x27385),f546(x27382,x27383,x27384,x27385))
% 199.29/199.25 [2739]~E(x27391,x27392)+E(f546(x27393,x27391,x27394,x27395),f546(x27393,x27392,x27394,x27395))
% 199.29/199.25 [2740]~E(x27401,x27402)+E(f546(x27403,x27404,x27401,x27405),f546(x27403,x27404,x27402,x27405))
% 199.29/199.25 [2741]~E(x27411,x27412)+E(f546(x27413,x27414,x27415,x27411),f546(x27413,x27414,x27415,x27412))
% 199.29/199.25 [2742]~E(x27421,x27422)+E(f525(x27421,x27423),f525(x27422,x27423))
% 199.29/199.25 [2743]~E(x27431,x27432)+E(f525(x27433,x27431),f525(x27433,x27432))
% 199.29/199.25 [2744]~E(x27441,x27442)+E(f569(x27441,x27443,x27444),f569(x27442,x27443,x27444))
% 199.29/199.25 [2745]~E(x27451,x27452)+E(f569(x27453,x27451,x27454),f569(x27453,x27452,x27454))
% 199.29/199.25 [2746]~E(x27461,x27462)+E(f569(x27463,x27464,x27461),f569(x27463,x27464,x27462))
% 199.29/199.25 [2747]~E(x27471,x27472)+E(f556(x27471,x27473,x27474,x27475),f556(x27472,x27473,x27474,x27475))
% 199.29/199.25 [2748]~E(x27481,x27482)+E(f556(x27483,x27481,x27484,x27485),f556(x27483,x27482,x27484,x27485))
% 199.29/199.25 [2749]~E(x27491,x27492)+E(f556(x27493,x27494,x27491,x27495),f556(x27493,x27494,x27492,x27495))
% 199.29/199.25 [2750]~E(x27501,x27502)+E(f556(x27503,x27504,x27505,x27501),f556(x27503,x27504,x27505,x27502))
% 199.29/199.25 [2751]~E(x27511,x27512)+E(f392(x27511,x27513),f392(x27512,x27513))
% 199.29/199.25 [2752]~E(x27521,x27522)+E(f392(x27523,x27521),f392(x27523,x27522))
% 199.29/199.25 [2753]~E(x27531,x27532)+E(f726(x27531,x27533,x27534,x27535,x27536),f726(x27532,x27533,x27534,x27535,x27536))
% 199.29/199.25 [2754]~E(x27541,x27542)+E(f726(x27543,x27541,x27544,x27545,x27546),f726(x27543,x27542,x27544,x27545,x27546))
% 199.29/199.25 [2755]~E(x27551,x27552)+E(f726(x27553,x27554,x27551,x27555,x27556),f726(x27553,x27554,x27552,x27555,x27556))
% 199.29/199.25 [2756]~E(x27561,x27562)+E(f726(x27563,x27564,x27565,x27561,x27566),f726(x27563,x27564,x27565,x27562,x27566))
% 199.29/199.25 [2757]~E(x27571,x27572)+E(f726(x27573,x27574,x27575,x27576,x27571),f726(x27573,x27574,x27575,x27576,x27572))
% 199.29/199.25 [2758]~E(x27581,x27582)+E(f731(x27581,x27583),f731(x27582,x27583))
% 199.29/199.25 [2759]~E(x27591,x27592)+E(f731(x27593,x27591),f731(x27593,x27592))
% 199.29/199.25 [2760]~E(x27601,x27602)+E(f191(x27601),f191(x27602))
% 199.29/199.25 [2761]~E(x27611,x27612)+E(f255(x27611,x27613,x27614),f255(x27612,x27613,x27614))
% 199.29/199.25 [2762]~E(x27621,x27622)+E(f255(x27623,x27621,x27624),f255(x27623,x27622,x27624))
% 199.29/199.25 [2763]~E(x27631,x27632)+E(f255(x27633,x27634,x27631),f255(x27633,x27634,x27632))
% 199.29/199.25 [2764]~E(x27641,x27642)+E(f493(x27641),f493(x27642))
% 199.29/199.25 [2765]~E(x27651,x27652)+E(f322(x27651),f322(x27652))
% 199.29/199.25 [2766]~E(x27661,x27662)+E(f376(x27661,x27663),f376(x27662,x27663))
% 199.29/199.25 [2767]~E(x27671,x27672)+E(f376(x27673,x27671),f376(x27673,x27672))
% 199.29/199.25 [2768]~E(x27681,x27682)+E(f524(x27681),f524(x27682))
% 199.29/199.25 [2769]~E(x27691,x27692)+E(f338(x27691,x27693,x27694),f338(x27692,x27693,x27694))
% 199.29/199.25 [2770]~E(x27701,x27702)+E(f338(x27703,x27701,x27704),f338(x27703,x27702,x27704))
% 199.29/199.25 [2771]~E(x27711,x27712)+E(f338(x27713,x27714,x27711),f338(x27713,x27714,x27712))
% 199.29/199.25 [2772]~E(x27721,x27722)+E(f345(x27721,x27723),f345(x27722,x27723))
% 199.29/199.25 [2773]~E(x27731,x27732)+E(f345(x27733,x27731),f345(x27733,x27732))
% 199.29/199.25 [2774]~P1(x27741)+P1(x27742)+~E(x27741,x27742)
% 199.29/199.25 [2775]~P2(x27751)+P2(x27752)+~E(x27751,x27752)
% 199.29/199.25 [2776]~P103(x27761)+P103(x27762)+~E(x27761,x27762)
% 199.29/199.25 [2777]~P65(x27771)+P65(x27772)+~E(x27771,x27772)
% 199.29/199.25 [2778]~P62(x27781)+P62(x27782)+~E(x27781,x27782)
% 199.29/199.25 [2779]P11(x27792,x27793)+~E(x27791,x27792)+~P11(x27791,x27793)
% 199.29/199.25 [2780]P11(x27803,x27802)+~E(x27801,x27802)+~P11(x27803,x27801)
% 199.29/199.25 [2781]~P108(x27811)+P108(x27812)+~E(x27811,x27812)
% 199.29/199.25 [2782]~P66(x27821)+P66(x27822)+~E(x27821,x27822)
% 199.29/199.25 [2783]P147(x27832,x27833,x27834)+~E(x27831,x27832)+~P147(x27831,x27833,x27834)
% 199.29/199.25 [2784]P147(x27843,x27842,x27844)+~E(x27841,x27842)+~P147(x27843,x27841,x27844)
% 199.29/199.25 [2785]P147(x27853,x27854,x27852)+~E(x27851,x27852)+~P147(x27853,x27854,x27851)
% 199.29/199.26 [2786]~P107(x27861)+P107(x27862)+~E(x27861,x27862)
% 199.29/199.26 [2787]~P67(x27871)+P67(x27872)+~E(x27871,x27872)
% 199.29/199.26 [2788]~P3(x27881)+P3(x27882)+~E(x27881,x27882)
% 199.29/199.26 [2789]P148(x27892,x27893,x27894)+~E(x27891,x27892)+~P148(x27891,x27893,x27894)
% 199.29/199.26 [2790]P148(x27903,x27902,x27904)+~E(x27901,x27902)+~P148(x27903,x27901,x27904)
% 199.29/199.26 [2791]P148(x27913,x27914,x27912)+~E(x27911,x27912)+~P148(x27913,x27914,x27911)
% 199.29/199.26 [2792]~P97(x27921)+P97(x27922)+~E(x27921,x27922)
% 199.29/199.26 [2793]~P119(x27931)+P119(x27932)+~E(x27931,x27932)
% 199.29/199.26 [2794]~P145(x27941)+P145(x27942)+~E(x27941,x27942)
% 199.29/199.26 [2795]~P109(x27951)+P109(x27952)+~E(x27951,x27952)
% 199.29/199.26 [2796]~P98(x27961)+P98(x27962)+~E(x27961,x27962)
% 199.29/199.26 [2797]~P120(x27971)+P120(x27972)+~E(x27971,x27972)
% 199.29/199.26 [2798]~P64(x27981)+P64(x27982)+~E(x27981,x27982)
% 199.29/199.26 [2799]~P61(x27991)+P61(x27992)+~E(x27991,x27992)
% 199.29/199.26 [2800]P12(x28002,x28003,x28004)+~E(x28001,x28002)+~P12(x28001,x28003,x28004)
% 199.29/199.26 [2801]P12(x28013,x28012,x28014)+~E(x28011,x28012)+~P12(x28013,x28011,x28014)
% 199.29/199.26 [2802]P12(x28023,x28024,x28022)+~E(x28021,x28022)+~P12(x28023,x28024,x28021)
% 199.29/199.26 [2803]P22(x28032,x28033,x28034,x28035)+~E(x28031,x28032)+~P22(x28031,x28033,x28034,x28035)
% 199.29/199.26 [2804]P22(x28043,x28042,x28044,x28045)+~E(x28041,x28042)+~P22(x28043,x28041,x28044,x28045)
% 199.29/199.26 [2805]P22(x28053,x28054,x28052,x28055)+~E(x28051,x28052)+~P22(x28053,x28054,x28051,x28055)
% 199.29/199.26 [2806]P22(x28063,x28064,x28065,x28062)+~E(x28061,x28062)+~P22(x28063,x28064,x28065,x28061)
% 199.29/199.26 [2807]~P68(x28071)+P68(x28072)+~E(x28071,x28072)
% 199.29/199.26 [2808]~P63(x28081)+P63(x28082)+~E(x28081,x28082)
% 199.29/199.26 [2809]P149(x28092,x28093)+~E(x28091,x28092)+~P149(x28091,x28093)
% 199.29/199.26 [2810]P149(x28103,x28102)+~E(x28101,x28102)+~P149(x28103,x28101)
% 199.29/199.26 [2811]~P69(x28111)+P69(x28112)+~E(x28111,x28112)
% 199.29/199.26 [2812]P16(x28122,x28123,x28124)+~E(x28121,x28122)+~P16(x28121,x28123,x28124)
% 199.29/199.26 [2813]P16(x28133,x28132,x28134)+~E(x28131,x28132)+~P16(x28133,x28131,x28134)
% 199.29/199.26 [2814]P16(x28143,x28144,x28142)+~E(x28141,x28142)+~P16(x28143,x28144,x28141)
% 199.29/199.26 [2815]~P70(x28151)+P70(x28152)+~E(x28151,x28152)
% 199.29/199.26 [2816]~P128(x28161)+P128(x28162)+~E(x28161,x28162)
% 199.29/199.26 [2817]~P72(x28171)+P72(x28172)+~E(x28171,x28172)
% 199.29/199.26 [2818]P5(x28182,x28183)+~E(x28181,x28182)+~P5(x28181,x28183)
% 199.29/199.26 [2819]P5(x28193,x28192)+~E(x28191,x28192)+~P5(x28193,x28191)
% 199.29/199.26 [2820]~P82(x28201)+P82(x28202)+~E(x28201,x28202)
% 199.29/199.26 [2821]~P71(x28211)+P71(x28212)+~E(x28211,x28212)
% 199.29/199.26 [2822]~P110(x28221)+P110(x28222)+~E(x28221,x28222)
% 199.29/199.26 [2823]~P59(x28231)+P59(x28232)+~E(x28231,x28232)
% 199.29/199.26 [2824]P47(x28242,x28243)+~E(x28241,x28242)+~P47(x28241,x28243)
% 199.29/199.26 [2825]P47(x28253,x28252)+~E(x28251,x28252)+~P47(x28253,x28251)
% 199.29/199.26 [2826]~P92(x28261)+P92(x28262)+~E(x28261,x28262)
% 199.29/199.26 [2827]~P101(x28271)+P101(x28272)+~E(x28271,x28272)
% 199.29/199.26 [2828]~P4(x28281)+P4(x28282)+~E(x28281,x28282)
% 199.29/199.26 [2829]~P76(x28291)+P76(x28292)+~E(x28291,x28292)
% 199.29/199.26 [2830]P54(x28302,x28303,x28304,x28305,x28306)+~E(x28301,x28302)+~P54(x28301,x28303,x28304,x28305,x28306)
% 199.29/199.26 [2831]P54(x28313,x28312,x28314,x28315,x28316)+~E(x28311,x28312)+~P54(x28313,x28311,x28314,x28315,x28316)
% 199.29/199.26 [2832]P54(x28323,x28324,x28322,x28325,x28326)+~E(x28321,x28322)+~P54(x28323,x28324,x28321,x28325,x28326)
% 199.29/199.26 [2833]P54(x28333,x28334,x28335,x28332,x28336)+~E(x28331,x28332)+~P54(x28333,x28334,x28335,x28331,x28336)
% 199.29/199.26 [2834]P54(x28343,x28344,x28345,x28346,x28342)+~E(x28341,x28342)+~P54(x28343,x28344,x28345,x28346,x28341)
% 199.29/199.26 [2835]~P80(x28351)+P80(x28352)+~E(x28351,x28352)
% 199.29/199.26 [2836]~P58(x28361)+P58(x28362)+~E(x28361,x28362)
% 199.29/199.26 [2837]~P73(x28371)+P73(x28372)+~E(x28371,x28372)
% 199.29/199.26 [2838]~P79(x28381)+P79(x28382)+~E(x28381,x28382)
% 199.29/199.26 [2839]~P37(x28391)+P37(x28392)+~E(x28391,x28392)
% 199.29/199.26 [2840]~P74(x28401)+P74(x28402)+~E(x28401,x28402)
% 199.29/199.26 [2841]P31(x28412,x28413,x28414,x28415,x28416)+~E(x28411,x28412)+~P31(x28411,x28413,x28414,x28415,x28416)
% 199.29/199.26 [2842]P31(x28423,x28422,x28424,x28425,x28426)+~E(x28421,x28422)+~P31(x28423,x28421,x28424,x28425,x28426)
% 199.29/199.26 [2843]P31(x28433,x28434,x28432,x28435,x28436)+~E(x28431,x28432)+~P31(x28433,x28434,x28431,x28435,x28436)
% 199.29/199.26 [2844]P31(x28443,x28444,x28445,x28442,x28446)+~E(x28441,x28442)+~P31(x28443,x28444,x28445,x28441,x28446)
% 199.29/199.26 [2845]P31(x28453,x28454,x28455,x28456,x28452)+~E(x28451,x28452)+~P31(x28453,x28454,x28455,x28456,x28451)
% 199.29/199.26 [2846]P35(x28462,x28463)+~E(x28461,x28462)+~P35(x28461,x28463)
% 199.29/199.26 [2847]P35(x28473,x28472)+~E(x28471,x28472)+~P35(x28473,x28471)
% 199.29/199.26 [2848]~P75(x28481)+P75(x28482)+~E(x28481,x28482)
% 199.29/199.26 [2849]P50(x28492,x28493,x28494)+~E(x28491,x28492)+~P50(x28491,x28493,x28494)
% 199.29/199.26 [2850]P50(x28503,x28502,x28504)+~E(x28501,x28502)+~P50(x28503,x28501,x28504)
% 199.29/199.26 [2851]P50(x28513,x28514,x28512)+~E(x28511,x28512)+~P50(x28513,x28514,x28511)
% 199.29/199.26 [2852]P49(x28522,x28523)+~E(x28521,x28522)+~P49(x28521,x28523)
% 199.29/199.26 [2853]P49(x28533,x28532)+~E(x28531,x28532)+~P49(x28533,x28531)
% 199.29/199.26 [2854]~P86(x28541)+P86(x28542)+~E(x28541,x28542)
% 199.29/199.26 [2855]P34(x28552,x28553)+~E(x28551,x28552)+~P34(x28551,x28553)
% 199.29/199.26 [2856]P34(x28563,x28562)+~E(x28561,x28562)+~P34(x28563,x28561)
% 199.29/199.26 [2857]P6(x28572,x28573,x28574)+~E(x28571,x28572)+~P6(x28571,x28573,x28574)
% 199.29/199.26 [2858]P6(x28583,x28582,x28584)+~E(x28581,x28582)+~P6(x28583,x28581,x28584)
% 199.29/199.26 [2859]P6(x28593,x28594,x28592)+~E(x28591,x28592)+~P6(x28593,x28594,x28591)
% 199.29/199.26 [2860]~P87(x28601)+P87(x28602)+~E(x28601,x28602)
% 199.29/199.26 [2861]P20(x28612,x28613,x28614,x28615,x28616,x28617)+~E(x28611,x28612)+~P20(x28611,x28613,x28614,x28615,x28616,x28617)
% 199.29/199.26 [2862]P20(x28623,x28622,x28624,x28625,x28626,x28627)+~E(x28621,x28622)+~P20(x28623,x28621,x28624,x28625,x28626,x28627)
% 199.29/199.26 [2863]P20(x28633,x28634,x28632,x28635,x28636,x28637)+~E(x28631,x28632)+~P20(x28633,x28634,x28631,x28635,x28636,x28637)
% 199.29/199.26 [2864]P20(x28643,x28644,x28645,x28642,x28646,x28647)+~E(x28641,x28642)+~P20(x28643,x28644,x28645,x28641,x28646,x28647)
% 199.29/199.26 [2865]P20(x28653,x28654,x28655,x28656,x28652,x28657)+~E(x28651,x28652)+~P20(x28653,x28654,x28655,x28656,x28651,x28657)
% 199.29/199.26 [2866]P20(x28663,x28664,x28665,x28666,x28667,x28662)+~E(x28661,x28662)+~P20(x28663,x28664,x28665,x28666,x28667,x28661)
% 199.29/199.26 [2867]~P88(x28671)+P88(x28672)+~E(x28671,x28672)
% 199.29/199.26 [2868]~P78(x28681)+P78(x28682)+~E(x28681,x28682)
% 199.29/199.26 [2869]P25(x28692,x28693)+~E(x28691,x28692)+~P25(x28691,x28693)
% 199.29/199.26 [2870]P25(x28703,x28702)+~E(x28701,x28702)+~P25(x28703,x28701)
% 199.29/199.26 [2871]P32(x28712,x28713,x28714)+~E(x28711,x28712)+~P32(x28711,x28713,x28714)
% 199.29/199.26 [2872]P32(x28723,x28722,x28724)+~E(x28721,x28722)+~P32(x28723,x28721,x28724)
% 199.29/199.26 [2873]P32(x28733,x28734,x28732)+~E(x28731,x28732)+~P32(x28733,x28734,x28731)
% 199.29/199.26 [2874]P36(x28742,x28743)+~E(x28741,x28742)+~P36(x28741,x28743)
% 199.29/199.26 [2875]P36(x28753,x28752)+~E(x28751,x28752)+~P36(x28753,x28751)
% 199.29/199.26 [2876]~P111(x28761)+P111(x28762)+~E(x28761,x28762)
% 199.29/199.26 [2877]~P112(x28771)+P112(x28772)+~E(x28771,x28772)
% 199.29/199.26 [2878]~P85(x28781)+P85(x28782)+~E(x28781,x28782)
% 199.29/199.26 [2879]~P60(x28791)+P60(x28792)+~E(x28791,x28792)
% 199.29/199.26 [2880]~P139(x28801)+P139(x28802)+~E(x28801,x28802)
% 199.29/199.26 [2881]P26(x28812,x28813,x28814)+~E(x28811,x28812)+~P26(x28811,x28813,x28814)
% 199.29/199.26 [2882]P26(x28823,x28822,x28824)+~E(x28821,x28822)+~P26(x28823,x28821,x28824)
% 199.29/199.26 [2883]P26(x28833,x28834,x28832)+~E(x28831,x28832)+~P26(x28833,x28834,x28831)
% 199.29/199.26 [2884]~P99(x28841)+P99(x28842)+~E(x28841,x28842)
% 199.29/199.26 [2885]~P143(x28851)+P143(x28852)+~E(x28851,x28852)
% 199.29/199.26 [2886]P30(x28862,x28863,x28864)+~E(x28861,x28862)+~P30(x28861,x28863,x28864)
% 199.29/199.26 [2887]P30(x28873,x28872,x28874)+~E(x28871,x28872)+~P30(x28873,x28871,x28874)
% 199.29/199.26 [2888]P30(x28883,x28884,x28882)+~E(x28881,x28882)+~P30(x28883,x28884,x28881)
% 199.29/199.26 [2889]~P118(x28891)+P118(x28892)+~E(x28891,x28892)
% 199.29/199.26 [2890]~P115(x28901)+P115(x28902)+~E(x28901,x28902)
% 199.29/199.26 [2891]~P144(x28911)+P144(x28912)+~E(x28911,x28912)
% 199.29/199.26 [2892]~P77(x28921)+P77(x28922)+~E(x28921,x28922)
% 199.29/199.26 [2893]~P33(x28931)+P33(x28932)+~E(x28931,x28932)
% 199.29/199.26 [2894]~P130(x28941)+P130(x28942)+~E(x28941,x28942)
% 199.29/199.26 [2895]P29(x28952,x28953,x28954,x28955)+~E(x28951,x28952)+~P29(x28951,x28953,x28954,x28955)
% 199.29/199.26 [2896]P29(x28963,x28962,x28964,x28965)+~E(x28961,x28962)+~P29(x28963,x28961,x28964,x28965)
% 199.29/199.26 [2897]P29(x28973,x28974,x28972,x28975)+~E(x28971,x28972)+~P29(x28973,x28974,x28971,x28975)
% 199.29/199.26 [2898]P29(x28983,x28984,x28985,x28982)+~E(x28981,x28982)+~P29(x28983,x28984,x28985,x28981)
% 199.29/199.26 [2899]~P137(x28991)+P137(x28992)+~E(x28991,x28992)
% 199.29/199.26 [2900]~P89(x29001)+P89(x29002)+~E(x29001,x29002)
% 199.29/199.26 [2901]~P90(x29011)+P90(x29012)+~E(x29011,x29012)
% 199.29/199.26 [2902]~P102(x29021)+P102(x29022)+~E(x29021,x29022)
% 199.29/199.26 [2903]~P126(x29031)+P126(x29032)+~E(x29031,x29032)
% 199.29/199.26 [2904]~P91(x29041)+P91(x29042)+~E(x29041,x29042)
% 199.29/199.26 [2905]~P134(x29051)+P134(x29052)+~E(x29051,x29052)
% 199.29/199.26 [2906]~P114(x29061)+P114(x29062)+~E(x29061,x29062)
% 199.29/199.26 [2907]~P113(x29071)+P113(x29072)+~E(x29071,x29072)
% 199.29/199.26 [2908]~P83(x29081)+P83(x29082)+~E(x29081,x29082)
% 199.29/199.26 [2909]~P96(x29091)+P96(x29092)+~E(x29091,x29092)
% 199.29/199.26 [2910]P55(x29102,x29103)+~E(x29101,x29102)+~P55(x29101,x29103)
% 199.29/199.26 [2911]P55(x29113,x29112)+~E(x29111,x29112)+~P55(x29113,x29111)
% 199.29/199.26 [2912]~P84(x29121)+P84(x29122)+~E(x29121,x29122)
% 199.29/199.26 [2913]~P123(x29131)+P123(x29132)+~E(x29131,x29132)
% 199.29/199.26 [2914]~P133(x29141)+P133(x29142)+~E(x29141,x29142)
% 199.29/199.26 [2915]~P146(x29151)+P146(x29152)+~E(x29151,x29152)
% 199.29/199.26 [2916]P23(x29162,x29163,x29164,x29165,x29166)+~E(x29161,x29162)+~P23(x29161,x29163,x29164,x29165,x29166)
% 199.29/199.26 [2917]P23(x29173,x29172,x29174,x29175,x29176)+~E(x29171,x29172)+~P23(x29173,x29171,x29174,x29175,x29176)
% 199.29/199.26 [2918]P23(x29183,x29184,x29182,x29185,x29186)+~E(x29181,x29182)+~P23(x29183,x29184,x29181,x29185,x29186)
% 199.29/199.26 [2919]P23(x29193,x29194,x29195,x29192,x29196)+~E(x29191,x29192)+~P23(x29193,x29194,x29195,x29191,x29196)
% 199.29/199.26 [2920]P23(x29203,x29204,x29205,x29206,x29202)+~E(x29201,x29202)+~P23(x29203,x29204,x29205,x29206,x29201)
% 199.29/199.26 [2921]P28(x29212,x29213,x29214)+~E(x29211,x29212)+~P28(x29211,x29213,x29214)
% 199.29/199.26 [2922]P28(x29223,x29222,x29224)+~E(x29221,x29222)+~P28(x29223,x29221,x29224)
% 199.29/199.26 [2923]P28(x29233,x29234,x29232)+~E(x29231,x29232)+~P28(x29233,x29234,x29231)
% 199.29/199.26 [2924]~P140(x29241)+P140(x29242)+~E(x29241,x29242)
% 199.29/199.26 [2925]~P127(x29251)+P127(x29252)+~E(x29251,x29252)
% 199.29/199.26 [2926]P8(x29262,x29263,x29264,x29265,x29266)+~E(x29261,x29262)+~P8(x29261,x29263,x29264,x29265,x29266)
% 199.29/199.26 [2927]P8(x29273,x29272,x29274,x29275,x29276)+~E(x29271,x29272)+~P8(x29273,x29271,x29274,x29275,x29276)
% 199.29/199.26 [2928]P8(x29283,x29284,x29282,x29285,x29286)+~E(x29281,x29282)+~P8(x29283,x29284,x29281,x29285,x29286)
% 199.29/199.26 [2929]P8(x29293,x29294,x29295,x29292,x29296)+~E(x29291,x29292)+~P8(x29293,x29294,x29295,x29291,x29296)
% 199.29/199.26 [2930]P8(x29303,x29304,x29305,x29306,x29302)+~E(x29301,x29302)+~P8(x29303,x29304,x29305,x29306,x29301)
% 199.29/199.26 [2931]~P129(x29311)+P129(x29312)+~E(x29311,x29312)
% 199.29/199.26 [2932]~P95(x29321)+P95(x29322)+~E(x29321,x29322)
% 199.29/199.26 [2933]P15(x29332,x29333,x29334)+~E(x29331,x29332)+~P15(x29331,x29333,x29334)
% 199.29/199.26 [2934]P15(x29343,x29342,x29344)+~E(x29341,x29342)+~P15(x29343,x29341,x29344)
% 199.29/199.26 [2935]P15(x29353,x29354,x29352)+~E(x29351,x29352)+~P15(x29353,x29354,x29351)
% 199.29/199.26 [2936]P14(x29362,x29363,x29364)+~E(x29361,x29362)+~P14(x29361,x29363,x29364)
% 199.29/199.26 [2937]P14(x29373,x29372,x29374)+~E(x29371,x29372)+~P14(x29373,x29371,x29374)
% 199.29/199.26 [2938]P14(x29383,x29384,x29382)+~E(x29381,x29382)+~P14(x29383,x29384,x29381)
% 199.29/199.26 [2939]P17(x29392,x29393,x29394,x29395)+~E(x29391,x29392)+~P17(x29391,x29393,x29394,x29395)
% 199.29/199.26 [2940]P17(x29403,x29402,x29404,x29405)+~E(x29401,x29402)+~P17(x29403,x29401,x29404,x29405)
% 199.29/199.26 [2941]P17(x29413,x29414,x29412,x29415)+~E(x29411,x29412)+~P17(x29413,x29414,x29411,x29415)
% 199.29/199.26 [2942]P17(x29423,x29424,x29425,x29422)+~E(x29421,x29422)+~P17(x29423,x29424,x29425,x29421)
% 199.29/199.26 [2943]P56(x29432,x29433,x29434,x29435)+~E(x29431,x29432)+~P56(x29431,x29433,x29434,x29435)
% 199.29/199.26 [2944]P56(x29443,x29442,x29444,x29445)+~E(x29441,x29442)+~P56(x29443,x29441,x29444,x29445)
% 199.29/199.26 [2945]P56(x29453,x29454,x29452,x29455)+~E(x29451,x29452)+~P56(x29453,x29454,x29451,x29455)
% 199.29/199.26 [2946]P56(x29463,x29464,x29465,x29462)+~E(x29461,x29462)+~P56(x29463,x29464,x29465,x29461)
% 199.29/199.26 [2947]P52(x29472,x29473,x29474)+~E(x29471,x29472)+~P52(x29471,x29473,x29474)
% 199.29/199.26 [2948]P52(x29483,x29482,x29484)+~E(x29481,x29482)+~P52(x29483,x29481,x29484)
% 199.29/199.26 [2949]P52(x29493,x29494,x29492)+~E(x29491,x29492)+~P52(x29493,x29494,x29491)
% 199.29/199.26 [2950]~P132(x29501)+P132(x29502)+~E(x29501,x29502)
% 199.29/199.26 [2951]~P141(x29511)+P141(x29512)+~E(x29511,x29512)
% 199.29/199.26 [2952]P13(x29522,x29523)+~E(x29521,x29522)+~P13(x29521,x29523)
% 199.29/199.26 [2953]P13(x29533,x29532)+~E(x29531,x29532)+~P13(x29533,x29531)
% 199.29/199.26 [2954]~P142(x29541)+P142(x29542)+~E(x29541,x29542)
% 199.29/199.26 [2955]~P122(x29551)+P122(x29552)+~E(x29551,x29552)
% 199.29/199.26 [2956]P48(x29562,x29563)+~E(x29561,x29562)+~P48(x29561,x29563)
% 199.29/199.26 [2957]P48(x29573,x29572)+~E(x29571,x29572)+~P48(x29573,x29571)
% 199.29/199.26 [2958]P18(x29582,x29583,x29584,x29585)+~E(x29581,x29582)+~P18(x29581,x29583,x29584,x29585)
% 199.29/199.26 [2959]P18(x29593,x29592,x29594,x29595)+~E(x29591,x29592)+~P18(x29593,x29591,x29594,x29595)
% 199.29/199.26 [2960]P18(x29603,x29604,x29602,x29605)+~E(x29601,x29602)+~P18(x29603,x29604,x29601,x29605)
% 199.29/199.26 [2961]P18(x29613,x29614,x29615,x29612)+~E(x29611,x29612)+~P18(x29613,x29614,x29615,x29611)
% 199.29/199.26 [2962]~P121(x29621)+P121(x29622)+~E(x29621,x29622)
% 199.29/199.26 [2963]P19(x29632,x29633,x29634,x29635,x29636)+~E(x29631,x29632)+~P19(x29631,x29633,x29634,x29635,x29636)
% 199.29/199.26 [2964]P19(x29643,x29642,x29644,x29645,x29646)+~E(x29641,x29642)+~P19(x29643,x29641,x29644,x29645,x29646)
% 199.29/199.26 [2965]P19(x29653,x29654,x29652,x29655,x29656)+~E(x29651,x29652)+~P19(x29653,x29654,x29651,x29655,x29656)
% 199.29/199.26 [2966]P19(x29663,x29664,x29665,x29662,x29666)+~E(x29661,x29662)+~P19(x29663,x29664,x29665,x29661,x29666)
% 199.29/199.26 [2967]P19(x29673,x29674,x29675,x29676,x29672)+~E(x29671,x29672)+~P19(x29673,x29674,x29675,x29676,x29671)
% 199.29/199.26 [2968]~P93(x29681)+P93(x29682)+~E(x29681,x29682)
% 199.29/199.26 [2969]~P135(x29691)+P135(x29692)+~E(x29691,x29692)
% 199.29/199.26 [2970]P51(x29702,x29703)+~E(x29701,x29702)+~P51(x29701,x29703)
% 199.29/199.26 [2971]P51(x29713,x29712)+~E(x29711,x29712)+~P51(x29713,x29711)
% 199.29/199.26 [2972]P44(x29722,x29723,x29724)+~E(x29721,x29722)+~P44(x29721,x29723,x29724)
% 199.29/199.26 [2973]P44(x29733,x29732,x29734)+~E(x29731,x29732)+~P44(x29733,x29731,x29734)
% 199.29/199.26 [2974]P44(x29743,x29744,x29742)+~E(x29741,x29742)+~P44(x29743,x29744,x29741)
% 199.29/199.26 [2975]P43(x29752,x29753)+~E(x29751,x29752)+~P43(x29751,x29753)
% 199.29/199.26 [2976]P43(x29763,x29762)+~E(x29761,x29762)+~P43(x29763,x29761)
% 199.29/199.26 [2977]P21(x29772,x29773,x29774,x29775,x29776,x29777)+~E(x29771,x29772)+~P21(x29771,x29773,x29774,x29775,x29776,x29777)
% 199.29/199.26 [2978]P21(x29783,x29782,x29784,x29785,x29786,x29787)+~E(x29781,x29782)+~P21(x29783,x29781,x29784,x29785,x29786,x29787)
% 199.29/199.26 [2979]P21(x29793,x29794,x29792,x29795,x29796,x29797)+~E(x29791,x29792)+~P21(x29793,x29794,x29791,x29795,x29796,x29797)
% 199.29/199.26 [2980]P21(x29803,x29804,x29805,x29802,x29806,x29807)+~E(x29801,x29802)+~P21(x29803,x29804,x29805,x29801,x29806,x29807)
% 199.29/199.26 [2981]P21(x29813,x29814,x29815,x29816,x29812,x29817)+~E(x29811,x29812)+~P21(x29813,x29814,x29815,x29816,x29811,x29817)
% 199.29/199.26 [2982]P21(x29823,x29824,x29825,x29826,x29827,x29822)+~E(x29821,x29822)+~P21(x29823,x29824,x29825,x29826,x29827,x29821)
% 199.29/199.26 [2983]P57(x29832,x29833)+~E(x29831,x29832)+~P57(x29831,x29833)
% 199.29/199.26 [2984]P57(x29843,x29842)+~E(x29841,x29842)+~P57(x29843,x29841)
% 199.29/199.26 [2985]~P100(x29851)+P100(x29852)+~E(x29851,x29852)
% 199.29/199.26 [2986]P10(x29862,x29863,x29864,x29865,x29866,x29867)+~E(x29861,x29862)+~P10(x29861,x29863,x29864,x29865,x29866,x29867)
% 199.29/199.26 [2987]P10(x29873,x29872,x29874,x29875,x29876,x29877)+~E(x29871,x29872)+~P10(x29873,x29871,x29874,x29875,x29876,x29877)
% 199.29/199.26 [2988]P10(x29883,x29884,x29882,x29885,x29886,x29887)+~E(x29881,x29882)+~P10(x29883,x29884,x29881,x29885,x29886,x29887)
% 199.29/199.26 [2989]P10(x29893,x29894,x29895,x29892,x29896,x29897)+~E(x29891,x29892)+~P10(x29893,x29894,x29895,x29891,x29896,x29897)
% 199.29/199.26 [2990]P10(x29903,x29904,x29905,x29906,x29902,x29907)+~E(x29901,x29902)+~P10(x29903,x29904,x29905,x29906,x29901,x29907)
% 199.29/199.26 [2991]P10(x29913,x29914,x29915,x29916,x29917,x29912)+~E(x29911,x29912)+~P10(x29913,x29914,x29915,x29916,x29917,x29911)
% 199.29/199.26 [2992]P9(x29922,x29923,x29924,x29925)+~E(x29921,x29922)+~P9(x29921,x29923,x29924,x29925)
% 199.29/199.26 [2993]P9(x29933,x29932,x29934,x29935)+~E(x29931,x29932)+~P9(x29933,x29931,x29934,x29935)
% 199.29/199.26 [2994]P9(x29943,x29944,x29942,x29945)+~E(x29941,x29942)+~P9(x29943,x29944,x29941,x29945)
% 199.29/199.26 [2995]P9(x29953,x29954,x29955,x29952)+~E(x29951,x29952)+~P9(x29953,x29954,x29955,x29951)
% 199.29/199.26 [2996]~P117(x29961)+P117(x29962)+~E(x29961,x29962)
% 199.29/199.26 [2997]~P105(x29971)+P105(x29972)+~E(x29971,x29972)
% 199.29/199.26 [2998]~P136(x29981)+P136(x29982)+~E(x29981,x29982)
% 199.29/199.26 [2999]P39(x29992,x29993,x29994,x29995,x29996,x29997)+~E(x29991,x29992)+~P39(x29991,x29993,x29994,x29995,x29996,x29997)
% 199.29/199.26 [3000]P39(x30003,x30002,x30004,x30005,x30006,x30007)+~E(x30001,x30002)+~P39(x30003,x30001,x30004,x30005,x30006,x30007)
% 199.29/199.26 [3001]P39(x30013,x30014,x30012,x30015,x30016,x30017)+~E(x30011,x30012)+~P39(x30013,x30014,x30011,x30015,x30016,x30017)
% 199.29/199.26 [3002]P39(x30023,x30024,x30025,x30022,x30026,x30027)+~E(x30021,x30022)+~P39(x30023,x30024,x30025,x30021,x30026,x30027)
% 199.29/199.26 [3003]P39(x30033,x30034,x30035,x30036,x30032,x30037)+~E(x30031,x30032)+~P39(x30033,x30034,x30035,x30036,x30031,x30037)
% 199.29/199.26 [3004]P39(x30043,x30044,x30045,x30046,x30047,x30042)+~E(x30041,x30042)+~P39(x30043,x30044,x30045,x30046,x30047,x30041)
% 199.29/199.26 [3005]~P81(x30051)+P81(x30052)+~E(x30051,x30052)
% 199.29/199.26 [3006]~P124(x30061)+P124(x30062)+~E(x30061,x30062)
% 199.29/199.26 [3007]P24(x30072,x30073)+~E(x30071,x30072)+~P24(x30071,x30073)
% 199.29/199.26 [3008]P24(x30083,x30082)+~E(x30081,x30082)+~P24(x30083,x30081)
% 199.29/199.26 [3009]P27(x30092,x30093,x30094)+~E(x30091,x30092)+~P27(x30091,x30093,x30094)
% 199.29/199.26 [3010]P27(x30103,x30102,x30104)+~E(x30101,x30102)+~P27(x30103,x30101,x30104)
% 199.29/199.26 [3011]P27(x30113,x30114,x30112)+~E(x30111,x30112)+~P27(x30113,x30114,x30111)
% 199.29/199.26 [3012]P53(x30122,x30123,x30124)+~E(x30121,x30122)+~P53(x30121,x30123,x30124)
% 199.29/199.26 [3013]P53(x30133,x30132,x30134)+~E(x30131,x30132)+~P53(x30133,x30131,x30134)
% 199.29/199.26 [3014]P53(x30143,x30144,x30142)+~E(x30141,x30142)+~P53(x30143,x30144,x30141)
% 199.29/199.26 [3015]P40(x30152,x30153)+~E(x30151,x30152)+~P40(x30151,x30153)
% 199.29/199.26 [3016]P40(x30163,x30162)+~E(x30161,x30162)+~P40(x30163,x30161)
% 199.29/199.26 [3017]~P138(x30171)+P138(x30172)+~E(x30171,x30172)
% 199.29/199.26 [3018]P38(x30182,x30183,x30184,x30185)+~E(x30181,x30182)+~P38(x30181,x30183,x30184,x30185)
% 199.29/199.26 [3019]P38(x30193,x30192,x30194,x30195)+~E(x30191,x30192)+~P38(x30193,x30191,x30194,x30195)
% 199.29/199.26 [3020]P38(x30203,x30204,x30202,x30205)+~E(x30201,x30202)+~P38(x30203,x30204,x30201,x30205)
% 199.29/199.26 [3021]P38(x30213,x30214,x30215,x30212)+~E(x30211,x30212)+~P38(x30213,x30214,x30215,x30211)
% 199.29/199.26 [3022]~P150(x30221)+P150(x30222)+~E(x30221,x30222)
% 199.29/199.26 [3023]P45(x30232,x30233,x30234)+~E(x30231,x30232)+~P45(x30231,x30233,x30234)
% 199.29/199.26 [3024]P45(x30243,x30242,x30244)+~E(x30241,x30242)+~P45(x30243,x30241,x30244)
% 199.29/199.26 [3025]P45(x30253,x30254,x30252)+~E(x30251,x30252)+~P45(x30253,x30254,x30251)
% 199.29/199.26 [3026]~P131(x30261)+P131(x30262)+~E(x30261,x30262)
% 199.29/199.26 [3027]~P106(x30271)+P106(x30272)+~E(x30271,x30272)
% 199.29/199.26 [3028]~P94(x30281)+P94(x30282)+~E(x30281,x30282)
% 199.29/199.26 [3029]~P104(x30291)+P104(x30292)+~E(x30291,x30292)
% 199.29/199.26 [3030]P41(x30302,x30303)+~E(x30301,x30302)+~P41(x30301,x30303)
% 199.29/199.26 [3031]P41(x30313,x30312)+~E(x30311,x30312)+~P41(x30313,x30311)
% 199.29/199.26 [3032]P46(x30322,x30323,x30324,x30325)+~E(x30321,x30322)+~P46(x30321,x30323,x30324,x30325)
% 199.29/199.26 [3033]P46(x30333,x30332,x30334,x30335)+~E(x30331,x30332)+~P46(x30333,x30331,x30334,x30335)
% 199.29/199.26 [3034]P46(x30343,x30344,x30342,x30345)+~E(x30341,x30342)+~P46(x30343,x30344,x30341,x30345)
% 199.29/199.26 [3035]P46(x30353,x30354,x30355,x30352)+~E(x30351,x30352)+~P46(x30353,x30354,x30355,x30351)
% 199.29/199.26 [3036]~P116(x30361)+P116(x30362)+~E(x30361,x30362)
% 199.29/199.26 [3037]~P42(x30371)+P42(x30372)+~E(x30371,x30372)
% 199.29/199.26 [3038]P7(x30382,x30383,x30384)+~E(x30381,x30382)+~P7(x30381,x30383,x30384)
% 199.29/199.26 [3039]P7(x30393,x30392,x30394)+~E(x30391,x30392)+~P7(x30393,x30391,x30394)
% 199.29/199.26 [3040]P7(x30403,x30404,x30402)+~E(x30401,x30402)+~P7(x30403,x30404,x30401)
% 199.29/199.26 [3041]~P125(x30411)+P125(x30412)+~E(x30411,x30412)
% 199.29/199.26
% 199.29/199.26 %-------------------------------------------
% 199.34/199.31 cnf(10408,plain,
% 199.34/199.31 (~E(f317(a102,x104081),x104081)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(10417,plain,
% 199.34/199.31 (~E(f317(f158(x104171),f317(a102,f317(f158(x104171),x104172))),x104172)),
% 199.34/199.31 inference(scs_inference,[],[4579,10408,3236,3269,3279,4616,4651,4677,4732,4736,4758,4773])).
% 199.34/199.31 cnf(10418,plain,
% 199.34/199.31 (~E(f317(a102,x104181),x104181)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(10431,plain,
% 199.34/199.31 (~E(f317(a102,x104311),x104311)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(10436,plain,
% 199.34/199.31 (~P1(f317(f317(f162(x104361),f103(x104361)),x104362))),
% 199.34/199.31 inference(rename_variables,[],[4617])).
% 199.34/199.31 cnf(10439,plain,
% 199.34/199.31 (~P1(f317(f317(f162(x104391),f103(x104391)),x104392))),
% 199.34/199.31 inference(rename_variables,[],[4617])).
% 199.34/199.31 cnf(10442,plain,
% 199.34/199.31 (~E(f317(a102,x104421),x104421)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(10445,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x104451),f2(a901)))),
% 199.34/199.31 inference(rename_variables,[],[4614])).
% 199.34/199.31 cnf(10448,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x104481),f2(a901)))),
% 199.34/199.31 inference(rename_variables,[],[4614])).
% 199.34/199.31 cnf(10465,plain,
% 199.34/199.31 (~P1(f317(f317(f224(a901),f317(a102,x104651)),x104651))),
% 199.34/199.31 inference(rename_variables,[],[4618])).
% 199.34/199.31 cnf(10468,plain,
% 199.34/199.31 (~E(f317(f317(f141(x104681),x104682),x104683),x104683)),
% 199.34/199.31 inference(rename_variables,[],[4590])).
% 199.34/199.31 cnf(10474,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x104741),f2(a901)))),
% 199.34/199.31 inference(rename_variables,[],[4614])).
% 199.34/199.31 cnf(10477,plain,
% 199.34/199.31 (E(f317(f273(x104771,x104771),f253(x104771,x104772)),x104772)),
% 199.34/199.31 inference(rename_variables,[],[3397])).
% 199.34/199.31 cnf(10480,plain,
% 199.34/199.31 (E(f317(f273(x104801,x104801),f253(x104801,x104802)),x104802)),
% 199.34/199.31 inference(rename_variables,[],[3397])).
% 199.34/199.31 cnf(10485,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x104851),x104851))),
% 199.34/199.31 inference(rename_variables,[],[4610])).
% 199.34/199.31 cnf(10490,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),f317(f317(f74(a901),x104901),x104902)),x104902))),
% 199.34/199.31 inference(rename_variables,[],[4630])).
% 199.34/199.31 cnf(10493,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),f317(f317(f74(a901),x104931),x104932)),x104932))),
% 199.34/199.31 inference(rename_variables,[],[4630])).
% 199.34/199.31 cnf(10497,plain,
% 199.34/199.31 (~E(x104971,f317(a102,x104971))),
% 199.34/199.31 inference(scs_inference,[],[4579,10408,10418,10431,3236,3397,10477,3273,3337,3269,3297,3279,4590,3503,3421,4614,10445,10448,4611,4587,4617,10436,4610,4618,4616,3413,4603,4632,4630,10490,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248])).
% 199.34/199.31 cnf(10501,plain,
% 199.34/199.31 (~P1(f317(f135(x105011,x105012),f317(f317(f242(f902(x105011),f902(x105011)),x105013),f103(x105011))))),
% 199.34/199.31 inference(scs_inference,[],[4579,10408,10418,10431,3236,3397,10477,3273,3337,3269,3297,3279,4590,4640,3503,3421,4614,10445,10448,4001,4611,4587,4617,10436,4610,4618,4616,3413,4603,4632,4630,10490,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257])).
% 199.34/199.31 cnf(10511,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x105111),x105111))),
% 199.34/199.31 inference(rename_variables,[],[4610])).
% 199.34/199.31 cnf(10514,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),f40(a901,x105141,x105142)),x105141))),
% 199.34/199.31 inference(rename_variables,[],[3881])).
% 199.34/199.31 cnf(10535,plain,
% 199.34/199.31 (E(f317(f29(a901),f317(f290(a901),x105351)),x105351)),
% 199.34/199.31 inference(rename_variables,[],[3332])).
% 199.34/199.31 cnf(10543,plain,
% 199.34/199.31 (~E(f317(a102,x105431),x105431)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(10548,plain,
% 199.34/199.31 (~E(f317(a102,x105481),x105481)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(10551,plain,
% 199.34/199.31 (~E(f317(a102,x105511),x105511)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(10553,plain,
% 199.34/199.31 (P1(f317(a184,a87))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,3236,3397,10477,3273,3337,3269,3297,3279,3367,4590,3332,4640,3352,3503,3421,4614,10445,10448,4001,3440,4611,4587,4617,10436,4610,10485,10511,3528,3942,3881,4618,10465,4616,4602,3413,4603,4632,4630,10490,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388])).
% 199.34/199.31 cnf(10556,plain,
% 199.34/199.31 (P1(f317(f317(f225(a901),x105561),f317(a102,x105561)))),
% 199.34/199.31 inference(rename_variables,[],[3503])).
% 199.34/199.31 cnf(10558,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),x105581),f317(a102,x105581)))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,3236,3397,10477,3273,3337,3269,3297,3279,3367,4590,3332,4640,3352,3503,3421,4614,10445,10448,4001,3440,4611,4587,4617,10436,4610,10485,10511,3528,3942,3881,4618,10465,4616,4602,3413,4603,4632,4630,10490,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400])).
% 199.34/199.31 cnf(10565,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),x105651),x105651))),
% 199.34/199.31 inference(rename_variables,[],[3437])).
% 199.34/199.31 cnf(10572,plain,
% 199.34/199.31 (E(f317(f273(x105721,x105721),f253(x105721,x105722)),x105722)),
% 199.34/199.31 inference(rename_variables,[],[3397])).
% 199.34/199.31 cnf(10575,plain,
% 199.34/199.31 (E(f317(f273(x105751,x105751),f253(x105751,x105752)),x105752)),
% 199.34/199.31 inference(rename_variables,[],[3397])).
% 199.34/199.31 cnf(10592,plain,
% 199.34/199.31 (P1(f317(f317(f224(a1),x105921),x105921))),
% 199.34/199.31 inference(rename_variables,[],[3438])).
% 199.34/199.31 cnf(10597,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x105971),f2(a901)))),
% 199.34/199.31 inference(rename_variables,[],[4614])).
% 199.34/199.31 cnf(10600,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x106001,a897)),x106002),f232(f907(x106001,a897))))),
% 199.34/199.31 inference(rename_variables,[],[3810])).
% 199.34/199.31 cnf(10604,plain,
% 199.34/199.31 (P1(f317(f317(f224(a1),f2(a1)),f366(f317(f162(x106041),f103(x106041)))))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,3236,3397,10477,10480,10572,3273,3337,3269,3297,3279,3367,4590,3332,4640,3352,3503,10556,3421,4614,10445,10448,10474,3859,4001,3467,3440,4611,4587,4617,10436,10439,4142,3810,3437,3438,4610,10485,10511,3528,3942,3881,10514,4618,10465,4616,4602,3413,4603,4632,3904,4630,10490,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495])).
% 199.34/199.31 cnf(10605,plain,
% 199.34/199.31 (~P1(f317(f317(f162(x106051),f103(x106051)),x106052))),
% 199.34/199.31 inference(rename_variables,[],[4617])).
% 199.34/199.31 cnf(10611,plain,
% 199.34/199.31 (E(f317(f317(f74(a901),x106111),f840(x106111,x106111)),x106111)),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,3236,3397,10477,10480,10572,3273,3337,3269,3297,3279,3367,4590,3332,4640,3352,3503,10556,3421,4614,10445,10448,10474,3859,4001,3467,3440,4611,4587,4617,10436,10439,4142,3810,3437,10565,3438,4610,10485,10511,3528,3942,3881,10514,4618,10465,4616,4602,3413,4603,4632,3904,4630,10490,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537])).
% 199.34/199.31 cnf(10634,plain,
% 199.34/199.31 (~E(f317(f317(f141(x106341),x106342),x106343),x106343)),
% 199.34/199.31 inference(rename_variables,[],[4590])).
% 199.34/199.31 cnf(10637,plain,
% 199.34/199.31 (~E(f317(a102,x106371),f2(a901))),
% 199.34/199.31 inference(rename_variables,[],[4585])).
% 199.34/199.31 cnf(10648,plain,
% 199.34/199.31 (P1(f317(f317(f224(a1),x106481),x106481))),
% 199.34/199.31 inference(rename_variables,[],[3438])).
% 199.34/199.31 cnf(10653,plain,
% 199.34/199.31 (~E(f317(a102,x106531),x106531)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(10656,plain,
% 199.34/199.31 (~P1(f317(f317(f179(f907(x106561,f907(x106562,a897))),x106563),x106564))),
% 199.34/199.31 inference(rename_variables,[],[4634])).
% 199.34/199.31 cnf(10663,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),x106631),x106631))),
% 199.34/199.31 inference(rename_variables,[],[3437])).
% 199.34/199.31 cnf(10667,plain,
% 199.34/199.31 (~E(f317(f158(x106671),f317(f317(f141(x106671),x106672),x106673)),f103(x106671))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,4585,3236,3397,10477,10480,10572,3273,3337,3269,3297,3279,3367,4590,10468,3332,4640,3352,3792,3503,10556,3421,4614,10445,10448,10474,10597,3859,4001,3465,3467,3440,4611,4587,4617,10436,10439,4142,3810,3437,10565,3438,10592,4610,10485,10511,3528,3942,3881,10514,4618,10465,4616,4602,3413,3418,4603,4632,4634,3904,4630,10490,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738])).
% 199.34/199.31 cnf(10676,plain,
% 199.34/199.31 (P1(f317(f317(f225(a901),x106761),f317(a102,x106761)))),
% 199.34/199.31 inference(rename_variables,[],[3503])).
% 199.34/199.31 cnf(10697,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x106971,a897)),x106972),f232(f907(x106971,a897))))),
% 199.34/199.31 inference(rename_variables,[],[3810])).
% 199.34/199.31 cnf(10700,plain,
% 199.34/199.31 (~P1(f317(f317(f162(x107001),f103(x107001)),x107002))),
% 199.34/199.31 inference(rename_variables,[],[4617])).
% 199.34/199.31 cnf(10710,plain,
% 199.34/199.31 (P1(f317(f317(f225(a901),x107101),f317(a102,f317(a102,x107101))))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,4585,3236,3397,10477,10480,10572,3273,3337,3269,3297,3279,3896,3367,4590,10468,3332,4640,3352,3792,3503,10556,10676,3421,4614,10445,10448,10474,10597,3859,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,4142,3810,10600,3437,10565,10663,3438,10592,4610,10485,10511,3528,3942,3881,10514,4618,10465,4616,4602,3413,3418,4604,4603,4632,4634,3904,4630,10490,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836])).
% 199.34/199.31 cnf(10719,plain,
% 199.34/199.31 (~P1(f317(f317(f162(x107191),f103(x107191)),x107192))),
% 199.34/199.31 inference(rename_variables,[],[4617])).
% 199.34/199.31 cnf(10725,plain,
% 199.34/199.31 (E(f62(x107251,x107252,f317(f162(x107253),f103(x107253))),x107252)),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,4585,3236,3397,10477,10480,10572,3273,3337,3269,3297,3279,3896,3367,4590,10468,3332,4640,3352,3792,3503,10556,10676,3421,4614,10445,10448,10474,10597,4623,3859,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,4142,3810,10600,3437,10565,10663,3438,10592,4610,10485,10511,3528,3942,3881,10514,4618,10465,4616,4602,3413,3418,4604,4603,4632,4634,3904,4630,10490,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896])).
% 199.34/199.31 cnf(10726,plain,
% 199.34/199.31 (~P1(f317(f317(f162(x107261),f103(x107261)),x107262))),
% 199.34/199.31 inference(rename_variables,[],[4617])).
% 199.34/199.31 cnf(10737,plain,
% 199.34/199.31 (~E(f317(a102,x107371),f2(a901))),
% 199.34/199.31 inference(rename_variables,[],[4585])).
% 199.34/199.31 cnf(10742,plain,
% 199.34/199.31 (P1(f317(f317(f319(x107421),x107422),f232(f907(x107421,a897))))),
% 199.34/199.31 inference(rename_variables,[],[3585])).
% 199.34/199.31 cnf(10746,plain,
% 199.34/199.31 (P1(f317(f317(f225(a901),f2(a901)),f317(a95,f72(a1))))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,4585,10637,3236,3397,10477,10480,10572,3273,3337,3269,3297,3279,3896,3367,4590,10468,3332,4640,3352,3792,3503,10556,10676,3421,4614,10445,10448,10474,10597,4623,3859,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,4142,3810,10600,3437,10565,10663,3438,10592,4610,10485,10511,3585,3528,3942,3881,10514,4618,10465,4616,4602,3413,3418,4604,4603,4632,4634,3904,4630,10490,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987])).
% 199.34/199.31 cnf(10749,plain,
% 199.34/199.31 (~P1(f317(f317(f162(x107491),f103(x107491)),x107492))),
% 199.34/199.31 inference(rename_variables,[],[4617])).
% 199.34/199.31 cnf(10754,plain,
% 199.34/199.31 (P1(f317(f317(f225(a901),x107541),f317(a102,x107541)))),
% 199.34/199.31 inference(rename_variables,[],[3503])).
% 199.34/199.31 cnf(10757,plain,
% 199.34/199.31 (~P1(f317(f317(f162(x107571),f103(x107571)),x107572))),
% 199.34/199.31 inference(rename_variables,[],[4617])).
% 199.34/199.31 cnf(10760,plain,
% 199.34/199.31 (~P1(f317(f317(f162(x107601),f103(x107601)),x107602))),
% 199.34/199.31 inference(rename_variables,[],[4617])).
% 199.34/199.31 cnf(10763,plain,
% 199.34/199.31 (~P1(f317(f56(x107631,x107632,f179(f907(x107631,a897))),x107633))),
% 199.34/199.31 inference(rename_variables,[],[4629])).
% 199.34/199.31 cnf(10766,plain,
% 199.34/199.31 (~P1(f317(f56(x107661,x107662,f179(f907(x107661,a897))),x107663))),
% 199.34/199.31 inference(rename_variables,[],[4629])).
% 199.34/199.31 cnf(10768,plain,
% 199.34/199.31 (~P30(x107681,f317(f179(f907(x107682,f907(x107683,a897))),x107684),x107685)),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,4585,10637,3236,3397,10477,10480,10572,3273,3337,3269,3297,3279,3896,3367,4590,10468,3332,4640,3352,3792,3503,10556,10676,3421,4614,10445,10448,10474,10597,4623,3859,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,4142,3810,10600,3437,10565,10663,3438,10592,4610,10485,10511,3585,3528,3942,3881,10514,4618,10465,4616,4602,3413,3418,4604,4603,4629,10763,4632,4634,10656,3904,4630,10490,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016])).
% 199.34/199.31 cnf(10769,plain,
% 199.34/199.31 (~P1(f317(f317(f179(f907(x107691,f907(x107692,a897))),x107693),x107694))),
% 199.34/199.31 inference(rename_variables,[],[4634])).
% 199.34/199.31 cnf(10772,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x107721),f2(a901)))),
% 199.34/199.31 inference(rename_variables,[],[4614])).
% 199.34/199.31 cnf(10777,plain,
% 199.34/199.31 (~P1(f317(f317(f162(x107771),f103(x107771)),x107772))),
% 199.34/199.31 inference(rename_variables,[],[4617])).
% 199.34/199.31 cnf(10787,plain,
% 199.34/199.31 (~E(f317(f158(x107871),f317(a102,f317(f317(f124(x107871),f317(f158(x107871),x107872)),f317(f317(f141(x107871),x107873),f103(x107871))))),f317(f317(f141(x107871),x107873),x107872))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,4585,10637,3236,3397,10477,10480,10572,3273,3337,3269,3297,3279,3896,3367,4590,10468,3332,4640,3352,3792,3503,10556,10676,10754,3421,4614,10445,10448,10474,10597,4623,3859,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,4142,3810,10600,3437,10565,10663,3438,10592,4610,10485,10511,3585,3528,3942,3881,10514,4618,10465,4616,4602,3413,3418,4604,4603,4629,10763,4632,4634,10656,3904,4630,10490,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100])).
% 199.34/199.31 cnf(10788,plain,
% 199.34/199.31 (~E(f317(a102,x107881),x107881)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(10806,plain,
% 199.34/199.31 (P1(f317(f317(f225(a89),f317(a5,x108061)),f317(a5,f317(a102,x108061))))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,4585,10637,3236,3397,10477,10480,10572,3273,3337,3269,3297,3279,3896,3367,4590,10468,3332,4640,3352,3792,3503,10556,10676,10754,3872,3421,4614,10445,10448,10474,10597,4623,3859,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,4142,3810,10600,3437,10565,10663,3438,10592,4610,10485,10511,3585,3528,3942,3881,10514,4618,10465,4616,4602,3413,3418,4604,4603,4629,10763,4632,4634,10656,3904,4630,10490,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183])).
% 199.34/199.31 cnf(10813,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),x108131),x108131))),
% 199.34/199.31 inference(rename_variables,[],[3437])).
% 199.34/199.31 cnf(10816,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),x108161),f317(f317(f75(a901),x108161),x108161)))),
% 199.34/199.31 inference(rename_variables,[],[3693])).
% 199.34/199.31 cnf(10818,plain,
% 199.34/199.31 (P1(f317(f317(f225(a901),x108181),f317(f317(f75(a901),f317(a102,x108181)),f317(a102,x108181))))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,4585,10637,3236,3397,10477,10480,10572,3273,3337,3269,3297,3279,3896,3367,4590,10468,3332,4640,3352,3792,3503,10556,10676,10754,3872,3421,4614,10445,10448,10474,10597,4623,3859,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,4142,3810,10600,3437,10565,10663,3438,10592,4610,10485,10511,3585,3528,3942,3881,10514,4618,10465,4616,4602,3413,3418,4604,4603,4629,10763,3693,10816,4632,4634,10656,3904,4630,10490,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207])).
% 199.34/199.31 cnf(10819,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),x108191),f317(f317(f75(a901),x108191),x108191)))),
% 199.34/199.31 inference(rename_variables,[],[3693])).
% 199.34/199.31 cnf(10822,plain,
% 199.34/199.31 (P1(f317(f317(f225(a901),x108221),f317(a102,f317(f317(f74(a901),x108222),x108221))))),
% 199.34/199.31 inference(rename_variables,[],[3870])).
% 199.34/199.31 cnf(10827,plain,
% 199.34/199.31 (P1(f317(f317(f225(a901),x108271),f317(a102,x108271)))),
% 199.34/199.31 inference(rename_variables,[],[3503])).
% 199.34/199.31 cnf(10830,plain,
% 199.34/199.31 (P1(f317(f317(f225(a901),x108301),f317(a102,x108301)))),
% 199.34/199.31 inference(rename_variables,[],[3503])).
% 199.34/199.31 cnf(10833,plain,
% 199.34/199.31 (P1(f317(f317(f319(x108331),x108332),f232(f907(x108331,a897))))),
% 199.34/199.31 inference(rename_variables,[],[3585])).
% 199.34/199.31 cnf(10852,plain,
% 199.34/199.31 (~P1(f317(f317(f224(a901),f317(a102,x108521)),x108521))),
% 199.34/199.31 inference(rename_variables,[],[4618])).
% 199.34/199.31 cnf(10855,plain,
% 199.34/199.31 (~P1(f317(f317(f224(a901),f317(a102,x108551)),x108551))),
% 199.34/199.31 inference(rename_variables,[],[4618])).
% 199.34/199.31 cnf(10858,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),f317(f317(f74(a901),x108581),x108582)),x108582))),
% 199.34/199.31 inference(rename_variables,[],[4630])).
% 199.34/199.31 cnf(10861,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),f317(f317(f74(a901),x108611),x108612)),x108612))),
% 199.34/199.31 inference(rename_variables,[],[4630])).
% 199.34/199.31 cnf(10864,plain,
% 199.34/199.31 (P1(f317(f232(f907(x108641,a897)),x108642))),
% 199.34/199.31 inference(rename_variables,[],[3496])).
% 199.34/199.31 cnf(10867,plain,
% 199.34/199.31 (E(f317(f29(a901),f317(f290(a901),x108671)),x108671)),
% 199.34/199.31 inference(rename_variables,[],[3332])).
% 199.34/199.31 cnf(10870,plain,
% 199.34/199.31 (P1(f317(f317(f225(a901),x108701),f317(a102,x108701)))),
% 199.34/199.31 inference(rename_variables,[],[3503])).
% 199.34/199.31 cnf(10877,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),x108771),x108771))),
% 199.34/199.31 inference(rename_variables,[],[3437])).
% 199.34/199.31 cnf(10881,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),f317(f94(a901),a77)),f317(f94(a901),x108811)))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,4585,10637,3236,3397,10477,10480,10572,3273,3337,3269,3297,3279,3896,3367,4590,10468,3332,10535,4640,3352,3792,3729,3503,10556,10676,10754,10827,10830,3872,3421,4614,10445,10448,10474,10597,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,4142,3810,10600,3437,10565,10663,10813,3438,10592,10648,4610,10485,10511,3585,10742,3496,3528,3942,3881,10514,4618,10465,10852,4616,4602,3413,3418,4604,4603,4629,10763,4639,3693,10816,4632,4634,10656,3904,4630,10490,10493,10858,3870,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374])).
% 199.34/199.31 cnf(10882,plain,
% 199.34/199.31 (P1(f317(f317(f224(a1),x108821),x108821))),
% 199.34/199.31 inference(rename_variables,[],[3438])).
% 199.34/199.31 cnf(10885,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x108851,a897)),f317(f162(x108851),f317(f126(x108851,x108852),x108853))),f317(f162(x108851),x108853)))),
% 199.34/199.31 inference(rename_variables,[],[4063])).
% 199.34/199.31 cnf(10894,plain,
% 199.34/199.31 (E(f317(f273(x108941,x108941),f253(x108941,x108942)),x108942)),
% 199.34/199.31 inference(rename_variables,[],[3397])).
% 199.34/199.31 cnf(10897,plain,
% 199.34/199.31 (P1(f317(f232(f907(x108971,a897)),x108972))),
% 199.34/199.31 inference(rename_variables,[],[3496])).
% 199.34/199.31 cnf(10899,plain,
% 199.34/199.31 (P28(x108991,f317(f224(a901),f2(a901)),x108992)),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,4585,10637,3236,3397,10477,10480,10572,10575,3273,3337,3269,3297,3279,3896,3367,4590,10468,3332,10535,4640,3352,3792,3729,3503,10556,10676,10754,10827,10830,3872,3421,4614,10445,10448,10474,10597,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,4063,4142,3810,10600,3437,10565,10663,10813,3438,10592,10648,4610,10485,10511,3585,10742,3496,10864,3528,3942,3881,10514,4618,10465,10852,3458,4616,4602,3413,3418,4604,4603,4629,10763,4639,3693,10816,4632,4634,10656,3904,4630,10490,10493,10858,3870,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416])).
% 199.34/199.31 cnf(10900,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),f2(a901)),x109001))),
% 199.34/199.31 inference(rename_variables,[],[3458])).
% 199.34/199.31 cnf(10902,plain,
% 199.34/199.31 (P28(x109021,f317(f224(f907(x109022,a897)),f179(f907(x109022,a897))),x109023)),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,4585,10637,3236,3397,10477,10480,10572,10575,3273,3337,3269,3297,3279,3896,3367,4590,10468,3332,10535,4640,3352,3792,3729,3503,10556,10676,10754,10827,10830,3872,3421,4614,10445,10448,10474,10597,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,4063,4142,3810,10600,3437,10565,10663,10813,3438,10592,10648,4610,10485,10511,3585,10742,3496,10864,3528,3942,3881,10514,4618,10465,10852,3458,4616,4602,3413,3418,4604,4603,4629,10763,4639,3869,3693,10816,4632,4634,10656,3904,4630,10490,10493,10858,3870,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417])).
% 199.34/199.31 cnf(10903,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x109031,a897)),f179(f907(x109031,a897))),x109032))),
% 199.34/199.31 inference(rename_variables,[],[3869])).
% 199.34/199.31 cnf(10906,plain,
% 199.34/199.31 (P1(f317(f232(f907(x109061,a897)),x109062))),
% 199.34/199.31 inference(rename_variables,[],[3496])).
% 199.34/199.31 cnf(10909,plain,
% 199.34/199.31 (P1(f317(f232(f907(x109091,a897)),x109092))),
% 199.34/199.31 inference(rename_variables,[],[3496])).
% 199.34/199.31 cnf(10912,plain,
% 199.34/199.31 (P1(f317(f232(f907(x109121,a897)),x109122))),
% 199.34/199.31 inference(rename_variables,[],[3496])).
% 199.34/199.31 cnf(10915,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),x109151),f317(f317(f75(a901),x109151),x109151)))),
% 199.34/199.31 inference(rename_variables,[],[3693])).
% 199.34/199.31 cnf(10919,plain,
% 199.34/199.31 (E(f317(f158(x109191),f163(x109192,f317(f317(f124(x109191),f317(f158(x109191),x109193)),f317(f317(f141(x109191),x109194),f103(x109191))),f103(x109192))),f317(f317(f141(x109191),x109194),x109193))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,4585,10637,3236,3397,10477,10480,10572,10575,3374,3273,3337,3269,3297,3279,3896,3367,4590,10468,3332,10535,4640,3352,3792,3729,3503,10556,10676,10754,10827,10830,3872,3421,4614,10445,10448,10474,10597,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,4063,4142,3810,10600,3437,10565,10663,10813,3438,10592,10648,4610,10485,10511,3585,10742,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,3458,4616,4602,3413,3418,4604,4603,4629,10763,4639,3869,3693,10816,10819,4632,4634,10656,3904,4630,10490,10493,10858,3870,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464])).
% 199.34/199.31 cnf(10932,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a89),f317(a5,x109321)),f317(a5,f2(a901))))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,4585,10637,3236,3397,10477,10480,10572,10575,3374,3273,3337,3269,3297,3279,3896,3367,4590,10468,3332,10535,4640,3352,3792,3729,3503,10556,10676,10754,10827,10830,10870,3872,3421,4614,10445,10448,10474,10597,10772,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,4063,4142,3810,10600,3437,10565,10663,10813,3438,10592,10648,4610,10485,10511,3585,10742,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,3458,4616,4602,3413,3418,4604,4603,4629,10763,4639,3869,3693,10816,10819,4632,4634,10656,3904,4630,10490,10493,10858,3870,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473])).
% 199.34/199.31 cnf(10955,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),x109551),x109551))),
% 199.34/199.31 inference(rename_variables,[],[3437])).
% 199.34/199.31 cnf(10966,plain,
% 199.34/199.31 (~P1(f317(f317(f162(x109661),f103(x109661)),x109662))),
% 199.34/199.31 inference(rename_variables,[],[4617])).
% 199.34/199.31 cnf(10973,plain,
% 199.34/199.31 (P1(f317(f317(f225(a901),x109731),f317(a102,x109731)))),
% 199.34/199.31 inference(rename_variables,[],[3503])).
% 199.34/199.31 cnf(10975,plain,
% 199.34/199.31 (P1(f317(f317(f225(a1),f317(f317(f3(a1),x109751),f72(a1))),x109751))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,4585,10637,3236,3397,10477,10480,10572,10575,3374,3273,3337,3269,3297,3279,3896,3367,4590,10468,3332,10535,4640,3352,3792,3729,3503,10556,10676,10754,10827,10830,10870,3872,3421,4614,10445,10448,10474,10597,10772,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,4063,4142,3810,10600,3437,10565,10663,10813,10877,10955,3438,10592,10648,10882,4610,10485,10511,3585,10742,4621,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,3458,4616,4602,4605,3413,3418,4604,4603,4629,10763,4639,3869,3693,10816,10819,4632,4634,10656,3904,4630,10490,10493,10858,3870,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739])).
% 199.34/199.31 cnf(10976,plain,
% 199.34/199.31 (P1(f317(f317(f224(a1),x109761),x109761))),
% 199.34/199.31 inference(rename_variables,[],[3438])).
% 199.34/199.31 cnf(10981,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x109811),f2(a901)))),
% 199.34/199.31 inference(rename_variables,[],[4614])).
% 199.34/199.31 cnf(10996,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x109961),f2(a901)))),
% 199.34/199.31 inference(rename_variables,[],[4614])).
% 199.34/199.31 cnf(10999,plain,
% 199.34/199.31 (~P1(f317(f317(f225(f907(x109991,a897)),x109992),f179(f907(x109991,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4627])).
% 199.34/199.31 cnf(11002,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),x110021),x110021))),
% 199.34/199.31 inference(rename_variables,[],[3437])).
% 199.34/199.31 cnf(11005,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),x110051),x110051))),
% 199.34/199.31 inference(rename_variables,[],[3437])).
% 199.34/199.31 cnf(11019,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x110191),f317(f317(f3(a901),x110191),x110192)))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,4585,10637,3236,3397,10477,10480,10572,10575,3374,3273,3337,3269,3297,3279,3896,3367,4590,10468,3332,10535,4640,3352,3792,3729,3503,10556,10676,10754,10827,10830,10870,3872,3421,4614,10445,10448,10474,10597,10772,10981,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,4154,4063,4142,3810,10600,4627,3437,10565,10663,10813,10877,10955,11002,11005,3438,10592,10648,10882,3439,4610,10485,10511,3585,10742,4621,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,3458,4616,4602,4605,3413,3418,4604,4603,4629,10763,4639,3869,3693,10816,10819,4632,4634,10656,3904,4630,10490,10493,10858,3870,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900])).
% 199.34/199.31 cnf(11020,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x110201),x110201))),
% 199.34/199.31 inference(rename_variables,[],[4610])).
% 199.34/199.31 cnf(11029,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x110291),x110292),f179(f907(x110291,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11036,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),x110361),x110361))),
% 199.34/199.31 inference(rename_variables,[],[3437])).
% 199.34/199.31 cnf(11039,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x110391,a897)),f317(f300(x110392,x110391,x110393),f317(f301(x110392,x110391,x110393),x110394))),x110394))),
% 199.34/199.31 inference(rename_variables,[],[4280])).
% 199.34/199.31 cnf(11048,plain,
% 199.34/199.31 (E(f317(f300(x110481,x110481,f7(x110481)),x110482),x110482)),
% 199.34/199.31 inference(rename_variables,[],[3492])).
% 199.34/199.31 cnf(11053,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),f2(a901)),x110531))),
% 199.34/199.31 inference(rename_variables,[],[3458])).
% 199.34/199.31 cnf(11056,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),x110561),x110561))),
% 199.34/199.31 inference(rename_variables,[],[3437])).
% 199.34/199.31 cnf(11059,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x110591),x110591))),
% 199.34/199.31 inference(rename_variables,[],[4610])).
% 199.34/199.31 cnf(11065,plain,
% 199.34/199.31 (E(f317(f317(f124(a901),f129(a901,f317(f293(a901,x110651),x110651))),f317(f317(f141(a901),x110651),f103(a901))),f129(a901,f317(f293(a901,x110651),f317(a102,x110651))))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,4585,10637,3236,3397,10477,10480,10572,10575,3374,3273,3337,3269,3297,3279,3896,3492,3367,4590,10468,3332,10535,4640,3352,3792,3729,3503,10556,10676,10754,10827,10830,10870,10973,3872,3421,4614,10445,10448,10474,10597,10772,10981,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,4154,4063,4142,3810,10600,4627,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,3438,10592,10648,10882,3439,4610,10485,10511,11020,3585,10742,4621,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,3458,10900,4616,4602,4605,3413,3418,4604,4603,4629,10763,4639,3869,3693,10816,10819,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299])).
% 199.34/199.31 cnf(11068,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x110681),x110681))),
% 199.34/199.31 inference(rename_variables,[],[4610])).
% 199.34/199.31 cnf(11079,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),x110791),f317(f317(f75(a901),x110791),x110791)))),
% 199.34/199.31 inference(rename_variables,[],[3693])).
% 199.34/199.31 cnf(11085,plain,
% 199.34/199.31 (P1(f317(f317(f225(a901),x110851),f317(a102,f317(f317(f74(a901),x110852),x110851))))),
% 199.34/199.31 inference(rename_variables,[],[3870])).
% 199.34/199.31 cnf(11091,plain,
% 199.34/199.31 (~E(x110911,f317(f317(f141(x110912),x110913),x110911))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,4585,10637,3236,3397,10477,10480,10572,10575,3374,3273,3337,3269,3297,3279,3896,3492,3367,4590,10468,3332,10535,4640,3352,3792,3729,3503,10556,10676,10754,10827,10830,10870,10973,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,4154,4063,4142,3810,10600,4627,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,3438,10592,10648,10882,3439,4610,10485,10511,11020,11059,3585,10742,4621,11029,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,3458,10900,4616,4602,4605,3413,3418,4604,4603,4629,10763,4639,3869,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473])).
% 199.34/199.31 cnf(11092,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),x110921),x110921))),
% 199.34/199.31 inference(rename_variables,[],[3437])).
% 199.34/199.31 cnf(11094,plain,
% 199.34/199.31 (P1(f317(f317(f225(a1),x110941),f317(f317(f74(a1),x110941),f72(a1))))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,4585,10637,3236,3397,10477,10480,10572,10575,3374,3273,3337,3269,3297,3279,3896,3492,3367,4590,10468,3332,10535,4640,3352,3792,3729,3503,10556,10676,10754,10827,10830,10870,10973,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,4154,4063,4142,3810,10600,4627,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,4621,11029,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,3458,10900,4616,4602,4605,3413,3418,4604,4603,4629,10763,4639,3869,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519])).
% 199.34/199.31 cnf(11095,plain,
% 199.34/199.31 (P1(f317(f317(f224(a1),x110951),x110951))),
% 199.34/199.31 inference(rename_variables,[],[3438])).
% 199.34/199.31 cnf(11097,plain,
% 199.34/199.31 (~E(f317(f67(x110971,x110972,x110973,a102),x110974),x110974)),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,4585,10637,3236,3397,10477,10480,10572,10575,3374,3273,3337,3269,3297,3279,3896,3492,3367,4590,10468,3332,10535,4640,3352,3792,3729,3503,10556,10676,10754,10827,10830,10870,10973,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,4154,4063,4142,3810,10600,4627,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,4621,11029,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,3458,10900,4616,4602,4605,3413,3418,4604,4603,4629,10763,4639,3869,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529])).
% 199.34/199.31 cnf(11098,plain,
% 199.34/199.31 (~E(f317(a102,x110981),x110981)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(11102,plain,
% 199.34/199.31 (P1(f317(f317(f319(f906(x111021,x111021)),x111022),f297(x111021,f232(f907(f906(x111021,x111021),a897)))))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,4585,10637,3236,3397,10477,10480,10572,10575,3374,3273,3337,3269,3297,3279,3896,3492,3367,4590,10468,3332,10535,4640,3352,3792,3729,3503,10556,10676,10754,10827,10830,10870,10973,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,4154,4063,4142,3810,10600,4627,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,4621,11029,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,3458,10900,4616,4602,4605,3413,3418,4604,4603,4629,10763,4639,3869,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546])).
% 199.34/199.31 cnf(11103,plain,
% 199.34/199.31 (P1(f317(f317(f319(x111031),x111032),f232(f907(x111031,a897))))),
% 199.34/199.31 inference(rename_variables,[],[3585])).
% 199.34/199.31 cnf(11107,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x111071),f317(f317(f3(a901),f2(a901)),x111072)))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,4585,10637,3236,3397,10477,10480,10572,10575,3374,3273,3337,3269,3297,3279,3896,3492,3367,4590,10468,3332,10535,4640,3352,3792,3729,3503,10556,10676,10754,10827,10830,10870,10973,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,4154,4063,10885,4142,3810,10600,4627,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,4621,11029,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,3458,10900,4616,4602,4605,3413,3418,4604,4603,4629,10763,4639,3869,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597])).
% 199.34/199.31 cnf(11108,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x111081),f2(a901)))),
% 199.34/199.31 inference(rename_variables,[],[4614])).
% 199.34/199.31 cnf(11123,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),f2(a901)),x111231))),
% 199.34/199.31 inference(rename_variables,[],[3458])).
% 199.34/199.31 cnf(11130,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),x111301),x111301))),
% 199.34/199.31 inference(rename_variables,[],[3437])).
% 199.34/199.31 cnf(11139,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x111391),x111392),f179(f907(x111391,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11141,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x111411,a897)),f32(f907(x111411,a897),f317(f298(x111411),x111412))),x111412))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,4585,10637,3236,3397,10477,10480,10572,10575,3374,3273,3337,3269,3297,3279,3896,3492,3367,4590,10468,3332,10535,4640,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,4154,4063,10885,3793,4142,3810,10600,4627,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,4621,11029,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,3869,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874])).
% 199.34/199.31 cnf(11143,plain,
% 199.34/199.31 (E(f317(f317(f92(f907(x111431,a897)),f317(f317(f92(f907(x111431,a897)),x111432),f317(f73(f907(x111431,a897)),x111433))),x111433),f179(f907(x111431,a897)))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,4585,10637,3236,3397,10477,10480,10572,10575,3374,3273,3337,3269,3297,3279,3896,3492,3367,4590,10468,3332,10535,4640,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,4154,4063,10885,3793,4142,3810,10600,4627,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,4621,11029,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,3869,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876])).
% 199.34/199.31 cnf(11146,plain,
% 199.34/199.31 (P1(f317(f317(f319(f902(x111461)),x111462),f151(x111461,f232(f907(x111461,a897)))))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,4585,10637,3236,3397,10477,10480,10572,10575,3374,3273,3337,3269,3297,3279,3896,3492,3367,4590,10468,3332,10535,4640,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,4154,4063,10885,3793,4142,3810,10600,4627,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,4621,11029,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,3869,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888])).
% 199.34/199.31 cnf(11147,plain,
% 199.34/199.31 (P1(f317(f317(f319(x111471),x111472),f232(f907(x111471,a897))))),
% 199.34/199.31 inference(rename_variables,[],[3585])).
% 199.34/199.31 cnf(11150,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(f902(x111501),f902(x111501))),f317(f317(f242(f902(x111501),f902(x111501)),x111502),f103(x111501))),f135(x111501,x111503)))),
% 199.34/199.31 inference(rename_variables,[],[4640])).
% 199.34/199.31 cnf(11159,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(x111591,x111591)),x111592),f253(x111591,f179(f907(x111591,a897)))))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,4585,10637,3236,3397,10477,10480,10572,10575,3374,3273,3337,3269,3297,3279,3896,3492,3367,4590,10468,3332,10535,4640,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,4154,4063,10885,3793,4142,3810,10600,4627,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,4621,11029,11139,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,3869,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020])).
% 199.34/199.31 cnf(11160,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x111601),x111602),f179(f907(x111601,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11162,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x111621),x111622),f317(f301(x111621,x111623,x111624),f179(f907(x111623,a897)))))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,4585,10637,3236,3397,10477,10480,10572,10575,3374,3273,3337,3269,3297,3279,3896,3492,3367,4590,10468,3332,10535,4640,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,4154,4063,10885,3793,4142,3810,10600,4627,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,4621,11029,11139,11160,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,3869,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047])).
% 199.34/199.31 cnf(11163,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x111631),x111632),f179(f907(x111631,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11166,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x111661,a897)),x111662),f317(f317(f299(x111661),x111663),x111662)))),
% 199.34/199.31 inference(rename_variables,[],[3867])).
% 199.34/199.31 cnf(11169,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),x111691),x111691))),
% 199.34/199.31 inference(rename_variables,[],[3437])).
% 199.34/199.31 cnf(11171,plain,
% 199.34/199.31 (P1(f317(f317(f319(x111711),x111712),f317(f317(f299(x111711),x111713),f317(f317(f299(x111711),x111712),x111714))))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,4585,10637,3236,3397,10477,10480,10572,10575,3374,3273,3337,3269,3297,3279,3896,3492,3367,4590,10468,3332,10535,4640,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,4154,4063,10885,3793,4142,3810,10600,4627,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,4621,11029,11139,11160,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,3867,11166,3869,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133])).
% 199.34/199.31 cnf(11172,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x111721,a897)),x111722),f317(f317(f299(x111721),x111723),x111722)))),
% 199.34/199.31 inference(rename_variables,[],[3867])).
% 199.34/199.31 cnf(11175,plain,
% 199.34/199.31 (E(f317(f300(x111751,x111751,f7(x111751)),x111752),x111752)),
% 199.34/199.31 inference(rename_variables,[],[3492])).
% 199.34/199.31 cnf(11177,plain,
% 199.34/199.31 (P31(x111771,x111772,x111773,f104(x111771,f103(x111771)),f103(x111772))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,4585,10637,3236,3283,3397,10477,10480,10572,10575,3374,3273,3337,3269,3297,3279,3896,3492,11048,3367,4590,10468,3332,10535,4640,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,4154,4063,10885,3793,4142,3810,10600,4627,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,4621,11029,11139,11160,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,3867,11166,3869,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151])).
% 199.34/199.31 cnf(11190,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x111901,a897)),x111902),f317(f317(f299(x111901),x111903),x111902)))),
% 199.34/199.31 inference(rename_variables,[],[3867])).
% 199.34/199.31 cnf(11201,plain,
% 199.34/199.31 (~E(f317(a102,x112011),f2(a901))),
% 199.34/199.31 inference(rename_variables,[],[4585])).
% 199.34/199.31 cnf(11204,plain,
% 199.34/199.31 (~P1(f317(f317(f162(x112041),f103(x112041)),x112042))),
% 199.34/199.31 inference(rename_variables,[],[4617])).
% 199.34/199.31 cnf(11217,plain,
% 199.34/199.31 (P1(f317(f317(f225(a901),x112171),f317(a102,x112171)))),
% 199.34/199.31 inference(rename_variables,[],[3503])).
% 199.34/199.31 cnf(11227,plain,
% 199.34/199.31 (~E(f317(f300(x112271,f907(x112271,a897),x112272),x112273),f317(f298(x112271),x112273))),
% 199.34/199.31 inference(rename_variables,[],[4619])).
% 199.34/199.31 cnf(11230,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x112301),x112302),f179(f907(x112301,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11233,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x112331),x112332),f179(f907(x112331,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11236,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(x112361,x112361)),f317(f317(f242(x112361,x112361),x112362),x112363)),f143(x112361,f103(f907(x112361,a901)))))),
% 199.34/199.31 inference(rename_variables,[],[4639])).
% 199.34/199.31 cnf(11239,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(x112391,x112391)),f317(f317(f242(x112391,x112391),x112392),x112393)),f143(x112391,f103(f907(x112391,a901)))))),
% 199.34/199.31 inference(rename_variables,[],[4639])).
% 199.34/199.31 cnf(11244,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x112441),x112442),f179(f907(x112441,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11247,plain,
% 199.34/199.31 (P1(f317(f317(f319(f906(x112471,x112471)),f317(f317(f242(x112471,x112471),x112472),x112472)),f297(x112471,x112473)))),
% 199.34/199.31 inference(rename_variables,[],[4055])).
% 199.34/199.31 cnf(11250,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x112501,a897)),x112502),f232(f907(x112501,a897))))),
% 199.34/199.31 inference(rename_variables,[],[3810])).
% 199.34/199.31 cnf(11253,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x112531,a897)),f317(f162(x112531),f166(x112531,x112532,x112533))),f317(f162(x112531),x112532)))),
% 199.34/199.31 inference(rename_variables,[],[4109])).
% 199.34/199.31 cnf(11269,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x112691,a897)),f179(f907(x112691,a897))),x112692))),
% 199.34/199.31 inference(rename_variables,[],[3869])).
% 199.34/199.31 cnf(11277,plain,
% 199.34/199.31 (~P1(f317(f317(f61(f902(x112771),f902(x112771),f135(x112771,x112772)),x112773),f103(x112771)))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,4585,10637,10737,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,4619,3332,10535,4190,4055,4640,11150,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,4154,4063,10885,4109,3793,4142,3810,10600,10697,4627,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,4621,11029,11139,11160,11163,11230,11233,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,4019,3867,11166,11172,3869,10903,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656])).
% 199.34/199.31 cnf(11280,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(f902(x112801),f902(x112801))),f317(f317(f242(f902(x112801),f902(x112801)),x112802),f103(x112801))),f137(x112801,x112803)))),
% 199.34/199.31 inference(rename_variables,[],[4641])).
% 199.34/199.31 cnf(11291,plain,
% 199.34/199.31 (~E(f317(a102,x112911),x112911)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(11294,plain,
% 199.34/199.31 (~E(f317(a102,x112941),x112941)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(11301,plain,
% 199.34/199.31 (~E(f317(a102,x113011),f2(a901))),
% 199.34/199.31 inference(rename_variables,[],[4585])).
% 199.34/199.31 cnf(11303,plain,
% 199.34/199.31 (E(f317(x113031,f317(f85(x113032,x113033,f232(f907(x113032,a897)),x113031),f317(x113031,x113034))),f317(x113031,x113034))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,4619,3332,10535,4190,4055,4640,11150,4641,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,4154,4063,10885,4109,3793,4142,3810,10600,10697,4627,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,4621,11029,11139,11160,11163,11230,11233,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,4019,3867,11166,11172,3869,10903,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713])).
% 199.34/199.31 cnf(11306,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x113061,a897)),x113062),x113062))),
% 199.34/199.31 inference(rename_variables,[],[3725])).
% 199.34/199.31 cnf(11313,plain,
% 199.34/199.31 (~E(f317(a102,x113131),x113131)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(11316,plain,
% 199.34/199.31 (~E(f317(a102,x113161),x113161)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(11318,plain,
% 199.34/199.31 (~P23(x113181,f907(x113181,a897),x113182,x113183,f317(f298(x113181),x113183))),
% 199.34/199.31 inference(scs_inference,[],[3414,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,4619,11227,3332,10535,4190,4055,4640,11150,4641,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,4154,4063,10885,4109,3793,4142,3810,10600,10697,4627,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,4621,11029,11139,11160,11163,11230,11233,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,4019,3867,11166,11172,3725,3869,10903,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753])).
% 199.34/199.31 cnf(11321,plain,
% 199.34/199.31 (P22(x113211,x113211,f7(x113211),x113212)),
% 199.34/199.31 inference(rename_variables,[],[3667])).
% 199.34/199.31 cnf(11326,plain,
% 199.34/199.31 (~E(f317(f300(x113261,f907(x113261,a897),x113262),x113263),f317(f298(x113261),x113263))),
% 199.34/199.31 inference(rename_variables,[],[4619])).
% 199.34/199.31 cnf(11331,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x113311,a897)),x113312),f232(f907(x113311,a897))))),
% 199.34/199.31 inference(rename_variables,[],[3810])).
% 199.34/199.31 cnf(11333,plain,
% 199.34/199.31 (P1(f317(f317(f61(f902(x113331),f902(x113331),f148(x113331,x113332)),f103(x113331)),f103(x113331)))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,4619,11227,3332,10535,4190,4055,4640,11150,4641,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,4627,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,4621,11029,11139,11160,11163,11230,11233,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,4019,3867,11166,11172,3725,3869,10903,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828])).
% 199.34/199.31 cnf(11347,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x113471),x113472),f179(f907(x113471,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11349,plain,
% 199.34/199.31 (~P1(f317(f317(f224(a901),f317(a102,f317(f132(a901,a901,f74(a901),x113491),x113492))),x113491))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,4619,11227,3539,3332,10535,4190,4055,4640,11150,4641,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,4627,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,4621,11029,11139,11160,11163,11230,11233,11244,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,4019,3867,11166,11172,3725,3869,10903,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879])).
% 199.34/199.31 cnf(11350,plain,
% 199.34/199.31 (~P1(f317(f317(f224(a901),f317(a102,x113501)),x113501))),
% 199.34/199.31 inference(rename_variables,[],[4618])).
% 199.34/199.31 cnf(11355,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x113551),x113552),f179(f907(x113551,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11365,plain,
% 199.34/199.31 (~P1(f317(f317(f319(a901),f317(a102,f317(f132(a901,a901,f74(a901),f2(a901)),x113651))),f317(f162(a901),x113651)))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,4619,11227,3539,3332,10535,4190,4055,4640,11150,4641,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,4627,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,4621,11029,11139,11160,11163,11230,11233,11244,11347,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,4019,3867,11166,11172,3725,3869,10903,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931])).
% 199.34/199.31 cnf(11366,plain,
% 199.34/199.31 (~P1(f317(f317(f224(a901),f317(a102,x113661)),x113661))),
% 199.34/199.31 inference(rename_variables,[],[4618])).
% 199.34/199.31 cnf(11369,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x113691),x113692),f179(f907(x113691,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11378,plain,
% 199.34/199.31 (P1(f317(f317(f319(f906(x113781,x113781)),f317(f317(f242(x113781,x113781),x113782),x113782)),f297(x113781,x113783)))),
% 199.34/199.31 inference(rename_variables,[],[4055])).
% 199.34/199.31 cnf(11381,plain,
% 199.34/199.31 (P1(f317(f317(f319(x113811),x113812),f232(f907(x113811,a897))))),
% 199.34/199.31 inference(rename_variables,[],[3585])).
% 199.34/199.31 cnf(11384,plain,
% 199.34/199.31 (P1(f317(f317(f319(x113841),x113842),f232(f907(x113841,a897))))),
% 199.34/199.31 inference(rename_variables,[],[3585])).
% 199.34/199.31 cnf(11388,plain,
% 199.34/199.31 (P1(f317(f317(f319(f906(f902(x113881),f902(x113881))),f317(f317(f242(f902(x113881),f902(x113881)),f103(x113881)),f103(x113881))),f317(f275(f902(x113881),f902(x113881)),f148(x113881,x113882))))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,4619,11227,3539,3332,10535,4190,4055,11247,4640,11150,4641,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,4627,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,4019,3867,11166,11172,3725,3869,10903,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099])).
% 199.34/199.31 cnf(11391,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(f902(x113911),f902(x113911))),f317(f317(f242(f902(x113911),f902(x113911)),x113912),f103(x113911))),f135(x113911,x113913)))),
% 199.34/199.31 inference(rename_variables,[],[4640])).
% 199.34/199.31 cnf(11394,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(f902(x113941),f902(x113941))),f317(f317(f242(f902(x113941),f902(x113941)),x113942),f103(x113941))),f137(x113941,x113943)))),
% 199.34/199.31 inference(rename_variables,[],[4641])).
% 199.34/199.31 cnf(11397,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(f902(x113971),f902(x113971))),f317(f317(f242(f902(x113971),f902(x113971)),x113972),f103(x113971))),f147(x113971,x113973)))),
% 199.34/199.31 inference(rename_variables,[],[4642])).
% 199.34/199.31 cnf(11399,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(f902(x113991),f902(x113991))),f317(f317(f242(f902(x113991),f902(x113991)),f103(x113991)),x113992)),f317(f275(f902(x113991),f902(x113991)),f135(x113991,x113993))))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,4619,11227,3539,3332,10535,4190,4055,11247,4640,11150,11391,4641,11280,4642,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,4627,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,4019,3867,11166,11172,3725,3869,10903,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147])).
% 199.34/199.31 cnf(11402,plain,
% 199.34/199.31 (~P1(f317(f317(f225(f907(x114021,a897)),x114022),f179(f907(x114021,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4627])).
% 199.34/199.31 cnf(11405,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x114051),x114052),f179(f907(x114051,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11409,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x114091,a897)),x114092),f317(f317(f91(f907(x114091,a897)),x114093),f232(f907(x114091,a897)))))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,4619,11227,3539,3332,10535,4190,4055,11247,4640,11150,11391,4641,11280,4642,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,4627,10999,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,4019,3867,11166,11172,3725,3869,10903,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189])).
% 199.34/199.31 cnf(11410,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x114101,a897)),x114102),f232(f907(x114101,a897))))),
% 199.34/199.31 inference(rename_variables,[],[3810])).
% 199.34/199.31 cnf(11412,plain,
% 199.34/199.31 (~P55(f902(x114121),f148(x114121,x114122))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,4619,11227,3539,3332,10535,4190,4055,11247,4640,11150,11391,4641,11280,4642,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,4627,10999,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,4019,3867,11166,11172,3725,3869,10903,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265])).
% 199.34/199.31 cnf(11416,plain,
% 199.34/199.31 (~P1(f317(f317(f245(x114161,x114162,a897,f317(f162(x114163),f103(x114163))),x114164),x114165))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,4619,11227,3539,3332,10535,4190,4055,11247,4640,11150,11391,4641,11280,4642,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,4627,10999,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,4019,3867,11166,11172,3725,3869,10903,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308])).
% 199.34/199.31 cnf(11417,plain,
% 199.34/199.31 (~P1(f317(f317(f162(x114171),f103(x114171)),x114172))),
% 199.34/199.31 inference(rename_variables,[],[4617])).
% 199.34/199.31 cnf(11422,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x114221),x114222),f179(f907(x114221,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11425,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(x114251,x114251)),f317(f317(f242(x114251,x114251),x114252),x114253)),f143(x114251,f103(f907(x114251,a901)))))),
% 199.34/199.31 inference(rename_variables,[],[4639])).
% 199.34/199.31 cnf(11427,plain,
% 199.34/199.31 (E(f317(f300(x114271,x114272,x114273),f659(x114274,x114273,x114271,f317(f300(x114271,x114272,x114273),x114274),x114272)),f317(f300(x114271,x114272,x114273),x114274))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,4619,11227,3539,3332,10535,4190,4055,11247,4640,11150,11391,4641,11280,4642,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,4627,10999,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,11239,4019,3867,11166,11172,3725,11306,3869,10903,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328])).
% 199.34/199.31 cnf(11428,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x114281,a897)),x114282),x114282))),
% 199.34/199.31 inference(rename_variables,[],[3725])).
% 199.34/199.31 cnf(11431,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x114311),x114312),f179(f907(x114311,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11433,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x114331,a897)),f317(f274(x114332,x114331,f179(f907(f906(x114332,x114331),a897))),x114333)),x114334))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,4619,11227,3539,3332,10535,4190,4055,11247,4640,11150,11391,4641,11280,4642,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,4627,10999,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,11239,4019,3867,11166,11172,3725,11306,3869,10903,11269,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375])).
% 199.34/199.31 cnf(11434,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x114341,a897)),f179(f907(x114341,a897))),x114342))),
% 199.34/199.31 inference(rename_variables,[],[3869])).
% 199.34/199.31 cnf(11437,plain,
% 199.34/199.31 (P1(f317(f317(f319(f906(x114371,x114371)),f317(f317(f242(x114371,x114371),x114372),x114372)),f297(x114371,x114373)))),
% 199.34/199.31 inference(rename_variables,[],[4055])).
% 199.34/199.31 cnf(11439,plain,
% 199.34/199.31 (~P31(x114391,x114392,x114393,f317(f317(f144(x114394,x114391),x114395),f317(a102,f103(x114394))),f103(x114392))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,4619,11227,3539,3332,10535,4190,4055,11247,11378,4640,11150,11391,4641,11280,4642,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,4627,10999,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,11239,4019,3867,11166,11172,3725,11306,3869,10903,11269,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383])).
% 199.34/199.31 cnf(11441,plain,
% 199.34/199.31 (~E(f317(f317(f92(f907(f906(f902(x114411),f902(x114411)),a897)),f317(f275(f902(x114411),f902(x114411)),f148(x114411,x114412))),f297(f902(x114411),f148(x114411,x114412))),f179(f907(f906(f902(x114411),f902(x114411)),a897)))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,4619,11227,3539,3332,10535,4190,4055,11247,11378,4640,11150,11391,4641,11280,4642,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,4627,10999,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,11239,4019,3867,11166,11172,3725,11306,3869,10903,11269,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408])).
% 199.34/199.31 cnf(11443,plain,
% 199.34/199.31 (P31(x114431,x114432,x114433,f317(f317(f144(x114434,x114431),x114435),f104(x114434,f103(x114434))),f103(x114432))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,4619,11227,3539,3332,10535,4190,4055,11247,11378,4640,11150,11391,4641,11280,4642,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,4627,10999,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,11239,4019,3867,11166,11172,3725,11306,3869,10903,11269,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409])).
% 199.34/199.31 cnf(11445,plain,
% 199.34/199.31 (P1(f317(f317(f319(f906(a901,a901)),f317(f317(f242(a901,a901),x114451),f317(a102,x114451))),f297(a901,a307)))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,4619,11227,3539,3332,10535,4190,4055,11247,11378,4640,11150,11391,4641,11280,4642,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,4627,10999,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,11239,4019,3867,11166,11172,3725,11306,3869,10903,11269,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436])).
% 199.34/199.31 cnf(11447,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(f902(x114471),f902(x114471))),f317(f317(f242(f902(x114471),f902(x114471)),x114472),f103(x114471))),f317(f275(f902(x114471),f902(x114471)),f147(x114471,x114473))))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,4619,11227,3539,3332,10535,4190,4055,11247,11378,4640,11150,11391,4641,11280,4642,11397,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,4627,10999,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,11239,4019,3867,11166,11172,3725,11306,3869,10903,11269,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504])).
% 199.34/199.31 cnf(11448,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(f902(x114481),f902(x114481))),f317(f317(f242(f902(x114481),f902(x114481)),x114482),f103(x114481))),f147(x114481,x114483)))),
% 199.34/199.31 inference(rename_variables,[],[4642])).
% 199.34/199.31 cnf(11454,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f902(x114541)),f103(x114541)),f317(f254(f902(x114541),f902(x114541)),f135(x114541,x114542))))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,4619,11227,3539,3332,10535,4190,4055,11247,11378,4640,11150,11391,4641,11280,4642,11397,4643,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,4627,10999,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,11239,4019,3867,11166,11172,3725,11306,3869,10903,11269,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542])).
% 199.34/199.31 cnf(11455,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(f902(x114551),f902(x114551))),f317(f317(f242(f902(x114551),f902(x114551)),f103(x114551)),x114552)),f135(x114551,x114553)))),
% 199.34/199.31 inference(rename_variables,[],[4643])).
% 199.34/199.31 cnf(11460,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(f907(x114601,a897),f907(x114601,a897))),f317(f317(f242(f907(x114601,a897),f907(x114601,a897)),x114602),f179(f907(x114601,a897)))),f304(x114601)))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,4619,11227,3539,3332,10535,4190,4055,11247,11378,4640,11150,11391,4641,11280,4642,11397,4643,4644,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,11239,4019,3867,11166,11172,3725,11306,3869,10903,11269,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544])).
% 199.34/199.31 cnf(11463,plain,
% 199.34/199.31 (P1(f317(f317(f319(x114631),x114632),f232(f907(x114631,a897))))),
% 199.34/199.31 inference(rename_variables,[],[3585])).
% 199.34/199.31 cnf(11468,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x114681,a897)),f179(f907(x114681,a897))),x114682))),
% 199.34/199.31 inference(rename_variables,[],[3869])).
% 199.34/199.31 cnf(11471,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x114711),x114712),f179(f907(x114711,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11474,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x114741,a897)),x114742),f232(f907(x114741,a897))))),
% 199.34/199.31 inference(rename_variables,[],[3810])).
% 199.34/199.31 cnf(11476,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(f906(x114761,x114761),a897)),f317(f317(f278(x114761,x114761,x114761),f253(x114761,x114762)),f297(x114761,f253(x114761,x114762)))),f317(f317(f244(x114761,x114761),x114762),f317(f18(f907(x114761,a897),x114761),x114762))))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,4619,11227,3539,3332,10535,4190,4055,11247,11378,4640,11150,11391,4641,11280,4642,11397,4643,4644,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,11384,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,11239,4019,3867,11166,11172,3725,11306,3869,10903,11269,11434,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,4195,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635])).
% 199.34/199.31 cnf(11478,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x114781,a897)),f317(f274(x114782,x114781,x114783),f179(f907(x114782,a897)))),x114784))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,4619,11227,3539,3332,10535,4190,4055,11247,11378,4640,11150,11391,4641,11280,4642,11397,4643,4644,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,11384,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,11239,4019,3867,11166,11172,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,4195,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665])).
% 199.34/199.31 cnf(11479,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x114791,a897)),f179(f907(x114791,a897))),x114792))),
% 199.34/199.31 inference(rename_variables,[],[3869])).
% 199.34/199.31 cnf(11481,plain,
% 199.34/199.31 (~P1(f317(f60(a1,x114811,x114812,x114813,f232(f907(a1,a897))),x114814))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,4619,11227,3539,3332,10535,4190,4055,11247,11378,4640,11150,11391,4641,11280,4642,11397,4643,4644,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,11384,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,3496,10864,10897,10906,10909,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,11239,4019,3867,11166,11172,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,4195,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686])).
% 199.34/199.31 cnf(11492,plain,
% 199.34/199.31 (P1(f317(f232(f907(x114921,a897)),x114922))),
% 199.34/199.31 inference(rename_variables,[],[3496])).
% 199.34/199.31 cnf(11500,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(f902(x115001),f902(x115001))),f317(f317(f242(f902(x115001),f902(x115001)),x115002),f103(x115001))),f135(x115001,x115003)))),
% 199.34/199.31 inference(rename_variables,[],[4640])).
% 199.34/199.31 cnf(11503,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(f902(x115031),f902(x115031))),f317(f317(f242(f902(x115031),f902(x115031)),x115032),f103(x115031))),f137(x115031,x115033)))),
% 199.34/199.31 inference(rename_variables,[],[4641])).
% 199.34/199.31 cnf(11506,plain,
% 199.34/199.31 (~E(f317(f317(f141(x115061),x115062),x115063),x115063)),
% 199.34/199.31 inference(rename_variables,[],[4590])).
% 199.34/199.31 cnf(11509,plain,
% 199.34/199.31 (~E(f317(a102,x115091),x115091)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(11512,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x115121),x115122),f179(f907(x115121,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11514,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x115141),x115142),f317(f274(x115143,x115141,x115144),f317(f274(x115145,x115143,x115146),f179(f907(x115145,a897))))))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,10634,4619,11227,3539,3332,10535,4190,4055,11247,11378,4640,11150,11391,4641,11280,11394,4642,11397,4643,11455,4644,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,11384,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,3496,10864,10897,10906,10909,10912,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,11239,4019,3867,11166,11172,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,4195,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813])).
% 199.34/199.31 cnf(11517,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x115171),x115172),f179(f907(x115171,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11520,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x115201),x115202),f179(f907(x115201,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11523,plain,
% 199.34/199.31 (P1(f317(f317(f319(f906(f902(x115231),f902(x115231))),f317(f317(f242(f902(x115231),f902(x115231)),x115232),x115232)),f148(x115231,f297(x115231,x115233))))),
% 199.34/199.31 inference(rename_variables,[],[4183])).
% 199.34/199.31 cnf(11526,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(f902(x115261),f902(x115261))),f317(f317(f242(f902(x115261),f902(x115261)),x115262),f103(x115261))),f135(x115261,x115263)))),
% 199.34/199.31 inference(rename_variables,[],[4640])).
% 199.34/199.31 cnf(11530,plain,
% 199.34/199.31 (E(f317(f317(f141(x115301),f636(f297(x115301,x115302),f317(f317(f141(x115301),x115303),x115304),x115304,x115303,x115301)),f637(f297(x115301,x115302),f317(f317(f141(x115301),x115303),x115304),x115304,x115303,x115301)),f317(f317(f141(x115301),x115303),x115304))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,10634,4619,11227,3539,3332,10535,4190,4055,11247,11378,4640,11150,11391,11500,4641,11280,11394,4642,11397,4643,11455,4644,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4183,11523,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,11384,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,3496,10864,10897,10906,10909,10912,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,11239,4019,3867,11166,11172,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,4195,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872])).
% 199.34/199.31 cnf(11536,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(x115361,x115361)),f317(f317(f242(x115361,x115361),x115362),x115363)),f143(x115361,f103(f907(x115361,a901)))))),
% 199.34/199.31 inference(rename_variables,[],[4639])).
% 199.34/199.31 cnf(11539,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x115391),x115392),f179(f907(x115391,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11542,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x115421),x115422),f179(f907(x115421,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11545,plain,
% 199.34/199.31 (P1(f317(f317(f319(x115451),x115452),f232(f907(x115451,a897))))),
% 199.34/199.31 inference(rename_variables,[],[3585])).
% 199.34/199.31 cnf(11548,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x115481),f2(a901)))),
% 199.34/199.31 inference(rename_variables,[],[4614])).
% 199.34/199.31 cnf(11552,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(f902(x115521),f902(x115521))),f317(f317(f242(f902(x115521),f902(x115521)),x115522),x115523)),f147(x115521,f143(x115521,f103(f907(x115521,a901))))))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,10634,4619,11227,3539,3332,10535,4190,4055,11247,11378,4640,11150,11391,11500,4641,11280,11394,4642,11397,4643,11455,4644,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4183,11523,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,11384,11463,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,3496,10864,10897,10906,10909,10912,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,11239,11425,11536,4019,3867,11166,11172,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,4195,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012])).
% 199.34/199.31 cnf(11553,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(x115531,x115531)),f317(f317(f242(x115531,x115531),x115532),x115533)),f143(x115531,f103(f907(x115531,a901)))))),
% 199.34/199.31 inference(rename_variables,[],[4639])).
% 199.34/199.31 cnf(11561,plain,
% 199.34/199.31 (~E(f317(f248(x115611,x115612,x115613,x115613,f300(x115614,f907(x115614,a897),x115615),f25(x115613)),x115616),f317(f248(x115611,x115612,x115613,x115613,f298(x115614),f25(x115613)),x115616))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,10634,4619,11227,11326,3539,3332,10535,4190,4055,11247,11378,4640,11150,11391,11500,4641,11280,11394,4642,11397,4643,11455,4644,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4183,11523,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,11384,11463,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,3496,10864,10897,10906,10909,10912,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,11239,11425,11536,4019,3867,11166,11172,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,4195,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057])).
% 199.34/199.31 cnf(11562,plain,
% 199.34/199.31 (~E(f317(f300(x115621,f907(x115621,a897),x115622),x115623),f317(f298(x115621),x115623))),
% 199.34/199.31 inference(rename_variables,[],[4619])).
% 199.34/199.31 cnf(11565,plain,
% 199.34/199.31 (~E(f317(f300(x115651,f907(x115651,a897),x115652),x115653),f317(f298(x115651),x115653))),
% 199.34/199.31 inference(rename_variables,[],[4619])).
% 199.34/199.31 cnf(11567,plain,
% 199.34/199.31 (E(f317(f317(f242(a901,a901),f627(f297(a901,a307),a307,a901,f317(f317(f242(a901,a901),x115671),f317(a102,x115671)),a901,a901)),f628(f297(a901,a307),a307,a901,f317(f317(f242(a901,a901),x115671),f317(a102,x115671)),a901,a901)),f317(f317(f242(a901,a901),x115671),f317(a102,x115671)))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,10634,4619,11227,11326,11562,3539,3332,10535,4190,4055,11247,11378,4640,11150,11391,11500,4641,11280,11394,4642,11397,4643,11455,4644,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4183,11523,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,11384,11463,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,3496,10864,10897,10906,10909,10912,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,11239,11425,11536,4019,3867,11166,11172,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,4195,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059])).
% 199.34/199.31 cnf(11570,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(f902(x115701),f902(x115701))),f317(f317(f242(f902(x115701),f902(x115701)),x115702),f103(x115701))),f135(x115701,x115703)))),
% 199.34/199.31 inference(rename_variables,[],[4640])).
% 199.34/199.31 cnf(11576,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(f902(x115761),f902(x115761))),f317(f317(f242(f902(x115761),f902(x115761)),x115762),f103(x115761))),f135(x115761,x115763)))),
% 199.34/199.31 inference(rename_variables,[],[4640])).
% 199.34/199.31 cnf(11579,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x115791),x115792),f179(f907(x115791,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11581,plain,
% 199.34/199.31 (P1(f317(f317(f319(f906(x115811,x115812)),f317(f317(f242(x115811,x115812),f317(x115813,x115814)),f317(x115815,x115814))),f317(f300(f906(x115816,x115816),f906(x115811,x115812),f248(x115816,x115811,x115816,x115812,x115813,x115815)),f297(x115816,x115817))))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,10634,4619,11227,11326,11562,3539,3332,10535,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4183,11523,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,11384,11463,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,3496,10864,10897,10906,10909,10912,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,11239,11425,11536,4019,3867,11166,11172,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,4195,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174])).
% 199.34/199.31 cnf(11583,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(x115831,x115832)),x115833),f317(f317(f278(x115831,x115834,x115832),f179(f907(f906(x115831,x115834),a897))),x115835)))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,10634,4619,11227,11326,11562,3539,3332,10535,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4183,11523,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,11384,11463,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,3496,10864,10897,10906,10909,10912,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,11239,11425,11536,4019,3867,11166,11172,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,4195,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271])).
% 199.34/199.31 cnf(11584,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x115841),x115842),f179(f907(x115841,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11587,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x115871),x115872),f179(f907(x115871,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11590,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x115901),x115902),f179(f907(x115901,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11593,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x115931),x115932),f179(f907(x115931,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11596,plain,
% 199.34/199.31 (P1(f317(f317(f319(x115961),f317(x115962,x115963)),f317(f300(x115964,x115961,x115962),f232(f907(x115964,a897)))))),
% 199.34/199.31 inference(rename_variables,[],[4019])).
% 199.34/199.31 cnf(11598,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(x115981,x115982)),x115983),f317(f300(f906(x115984,x115984),f906(x115981,x115982),f248(x115984,x115981,x115984,x115982,x115985,x115986)),f143(x115984,f103(f907(x115984,a901))))))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,4585,10637,10737,11201,3236,3283,3397,10477,10480,10572,10575,3374,3883,3273,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,10634,4619,11227,11326,11562,3539,3332,10535,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,4614,10445,10448,10474,10597,10772,10981,10996,11108,4623,3859,3638,4001,3465,3467,3440,4611,4587,4183,11523,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,11384,11463,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,3496,10864,10897,10906,10909,10912,3528,3942,3881,10514,4618,10465,10852,10855,11350,3458,10900,11053,4616,3950,4602,4605,3413,3418,4604,4603,4629,10763,4639,11236,11239,11425,11536,11553,4019,3867,11166,11172,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,4195,3904,4630,10490,10493,10858,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392])).
% 199.34/199.31 cnf(11599,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(x115991,x115991)),f317(f317(f242(x115991,x115991),x115992),x115993)),f143(x115991,f103(f907(x115991,a901)))))),
% 199.34/199.31 inference(rename_variables,[],[4639])).
% 199.34/199.31 cnf(11607,plain,
% 199.34/199.31 (E(f104(x116071,f103(x116071)),f103(x116071))),
% 199.34/199.31 inference(rename_variables,[],[3283])).
% 199.34/199.31 cnf(11610,plain,
% 199.34/199.31 (~E(f317(a102,x116101),x116101)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(11617,plain,
% 199.34/199.31 (~E(f317(a102,x116171),x116171)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(11622,plain,
% 199.34/199.31 (E(f317(f273(x116221,x116221),f253(x116221,x116222)),x116222)),
% 199.34/199.31 inference(rename_variables,[],[3397])).
% 199.34/199.31 cnf(11625,plain,
% 199.34/199.31 (E(f317(f273(x116251,x116251),f253(x116251,x116252)),x116252)),
% 199.34/199.31 inference(rename_variables,[],[3397])).
% 199.34/199.31 cnf(11631,plain,
% 199.34/199.31 (~E(f317(a102,x116311),x116311)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(11643,plain,
% 199.34/199.31 (E(f317(f317(f3(a901),f2(a901)),x116431),f2(a901))),
% 199.34/199.31 inference(rename_variables,[],[3353])).
% 199.34/199.31 cnf(11646,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x116461),f2(a901)))),
% 199.34/199.31 inference(rename_variables,[],[4614])).
% 199.34/199.31 cnf(11653,plain,
% 199.34/199.31 (E(f317(f317(f74(a1),f317(f317(f75(a1),x116531),f317(f317(f30(a1),x116532),x116531))),f40(a1,x116532,x116531)),x116532)),
% 199.34/199.31 inference(rename_variables,[],[3972])).
% 199.34/199.31 cnf(11679,plain,
% 199.34/199.31 (~E(f317(a102,x116791),x116791)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(11682,plain,
% 199.34/199.31 (~E(f317(a102,x116821),x116821)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(11708,plain,
% 199.34/199.31 (~P1(f317(f317(f162(x117081),f103(x117081)),x117082))),
% 199.34/199.31 inference(rename_variables,[],[4617])).
% 199.34/199.31 cnf(11714,plain,
% 199.34/199.31 (P1(f317(f317(f225(a901),f2(a901)),f317(a102,x117141)))),
% 199.34/199.31 inference(rename_variables,[],[3515])).
% 199.34/199.31 cnf(11715,plain,
% 199.34/199.31 (~E(f317(a102,x117151),x117151)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(11718,plain,
% 199.34/199.31 (P1(f317(f317(f319(x117181),x117182),f232(f907(x117181,a897))))),
% 199.34/199.31 inference(rename_variables,[],[3585])).
% 199.34/199.31 cnf(11730,plain,
% 199.34/199.31 (~E(f317(a102,x117301),x117301)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(11733,plain,
% 199.34/199.31 (P1(f317(f317(f224(a1),x117331),x117331))),
% 199.34/199.31 inference(rename_variables,[],[3438])).
% 199.34/199.31 cnf(11740,plain,
% 199.34/199.31 (P1(f317(f60(x117401,x117402,x117403,x117404,f179(f907(x117401,a897))),x117404))),
% 199.34/199.31 inference(rename_variables,[],[4327])).
% 199.34/199.31 cnf(11741,plain,
% 199.34/199.31 (E(f317(f273(x117411,x117411),f253(x117411,x117412)),x117412)),
% 199.34/199.31 inference(rename_variables,[],[3397])).
% 199.34/199.31 cnf(11754,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),f317(f317(f74(a901),x117541),x117542)),x117542))),
% 199.34/199.31 inference(rename_variables,[],[4630])).
% 199.34/199.31 cnf(11757,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a1),f317(f90(a1),x117571)),f2(a1)))),
% 199.34/199.31 inference(rename_variables,[],[4623])).
% 199.34/199.31 cnf(11771,plain,
% 199.34/199.31 (~E(f317(f317(f141(x117711),x117712),f317(f317(f124(x117711),f104(x117711,f103(x117711))),x117713)),x117713)),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,3357,4585,10637,10737,11201,3050,3058,3062,3063,3069,3086,3089,3104,3115,3116,3120,3123,3124,3186,3206,3207,3211,3219,3236,4577,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,3374,3883,3273,3972,11653,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,10634,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,3515,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,4623,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,11095,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,11384,11463,11545,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,3496,10864,10897,10906,10909,10912,3528,3942,3881,10514,4618,10465,10852,10855,11350,11366,3458,10900,11053,4616,4615,3950,4602,4605,3413,3418,4604,4603,4638,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,3867,11166,11172,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,4195,3904,4630,10490,10493,10858,10861,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432])).
% 199.34/199.31 cnf(11779,plain,
% 199.34/199.31 (~E(f317(f317(f92(a901),f317(a102,x117791)),x117791),f317(a102,x117791))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,3357,4585,10637,10737,11201,3050,3058,3062,3063,3066,3069,3081,3086,3089,3104,3115,3116,3120,3123,3124,3186,3206,3207,3211,3219,3236,4577,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,3374,3883,3273,3972,11653,3337,3269,3297,3279,3896,3492,11048,3367,4052,4590,10468,10634,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,3515,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,4623,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,11095,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,11384,11463,11545,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,3496,10864,10897,10906,10909,10912,3528,3942,3881,10514,4618,10465,10852,10855,11350,11366,3458,10900,11053,4616,4615,3950,4602,4605,3413,3418,4604,4603,4638,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,3867,11166,11172,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,4195,3904,4630,10490,10493,10858,10861,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440])).
% 199.34/199.31 cnf(11782,plain,
% 199.34/199.31 (E(f317(f273(x117821,x117821),f253(x117821,x117822)),x117822)),
% 199.34/199.31 inference(rename_variables,[],[3397])).
% 199.34/199.31 cnf(11787,plain,
% 199.34/199.31 (E(f317(f273(x117871,x117871),f253(x117871,x117872)),x117872)),
% 199.34/199.31 inference(rename_variables,[],[3397])).
% 199.34/199.31 cnf(11790,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a1),f317(f90(a1),x117901)),f2(a1)))),
% 199.34/199.31 inference(rename_variables,[],[4623])).
% 199.34/199.31 cnf(11795,plain,
% 199.34/199.31 (~E(f317(a102,x117951),x117951)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(11804,plain,
% 199.34/199.31 (~P1(f317(f317(f162(x118041),f103(x118041)),x118042))),
% 199.34/199.31 inference(rename_variables,[],[4617])).
% 199.34/199.31 cnf(11826,plain,
% 199.34/199.31 (E(f40(a901,x118261,x118261),f2(a901))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,3357,4585,10637,10737,11201,3050,3058,3059,3062,3063,3066,3067,3069,3081,3082,3086,3089,3104,3115,3116,3120,3123,3124,3186,3195,3206,3207,3211,3219,3236,4577,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,3374,3883,3273,3972,11653,3337,3269,3297,3292,3279,3280,3896,3492,11048,3367,4052,4590,10468,10634,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,3872,3421,3515,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,4623,11757,11790,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,3438,10592,10648,10882,10976,11095,3439,4610,10485,10511,11020,11059,3585,10742,10833,11103,11147,11381,11384,11463,11545,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,4618,10465,10852,10855,11350,11366,3458,10900,11053,4616,4615,3950,4602,4605,3413,3418,4604,4603,4638,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,3867,11166,11172,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,4634,10656,4280,4195,3904,4630,10490,10493,10858,10861,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594])).
% 199.34/199.31 cnf(11829,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a1),f317(f90(a1),x118291)),f2(a1)))),
% 199.34/199.31 inference(rename_variables,[],[4623])).
% 199.34/199.31 cnf(11832,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x118321),f2(a901)))),
% 199.34/199.31 inference(rename_variables,[],[4614])).
% 199.34/199.31 cnf(11833,plain,
% 199.34/199.31 (P1(f317(f317(f225(a901),x118331),f317(a102,x118331)))),
% 199.34/199.31 inference(rename_variables,[],[3503])).
% 199.34/199.31 cnf(11836,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a1),f317(f90(a1),x118361)),f2(a1)))),
% 199.34/199.31 inference(rename_variables,[],[4623])).
% 199.34/199.31 cnf(11839,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x118391),x118392),f179(f907(x118391,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11840,plain,
% 199.34/199.31 (P1(f317(f317(f319(f907(x118401,a897)),x118402),f317(f298(x118401),x118402)))),
% 199.34/199.31 inference(rename_variables,[],[3793])).
% 199.34/199.31 cnf(11855,plain,
% 199.34/199.31 (~P1(f317(f317(f224(a901),f317(a102,x118551)),x118551))),
% 199.34/199.31 inference(rename_variables,[],[4618])).
% 199.34/199.31 cnf(11856,plain,
% 199.34/199.31 (~E(f317(a102,x118561),x118561)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(11866,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),f317(f317(f74(a901),x118661),x118662)),x118661))),
% 199.34/199.31 inference(rename_variables,[],[4631])).
% 199.34/199.31 cnf(11869,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a1),f317(f90(a1),x118691)),f2(a1)))),
% 199.34/199.31 inference(rename_variables,[],[4623])).
% 199.34/199.31 cnf(11872,plain,
% 199.34/199.31 (~E(f317(a102,x118721),x118721)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(11885,plain,
% 199.34/199.31 (P1(f317(f317(f319(x118851),x118852),f317(f317(f299(x118851),x118852),x118853)))),
% 199.34/199.31 inference(rename_variables,[],[3741])).
% 199.34/199.31 cnf(11886,plain,
% 199.34/199.31 (~P1(f317(f317(f224(a1),f2(a1)),f317(f73(a1),f317(f90(a1),f317(a102,x118861)))))),
% 199.34/199.31 inference(rename_variables,[],[4632])).
% 199.34/199.31 cnf(11889,plain,
% 199.34/199.31 (P1(f317(f317(f225(a901),f317(f317(f3(a901),x118891),x118892)),f317(a102,x118891)))),
% 199.34/199.31 inference(rename_variables,[],[3872])).
% 199.34/199.31 cnf(11892,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),f40(a901,x118921,x118922)),x118921))),
% 199.34/199.31 inference(rename_variables,[],[3881])).
% 199.34/199.31 cnf(11898,plain,
% 199.34/199.31 (E(f317(f273(x118981,x118981),f253(x118981,x118982)),x118982)),
% 199.34/199.31 inference(rename_variables,[],[3397])).
% 199.34/199.31 cnf(11903,plain,
% 199.34/199.31 (E(f317(f317(f124(x119031),f159(x119031,x119032,x119033)),f159(x119031,x119034,x119033)),f317(f317(f124(x119031),f159(x119031,x119034,x119033)),f159(x119031,x119032,x119033)))),
% 199.34/199.31 inference(rename_variables,[],[3985])).
% 199.34/199.31 cnf(11908,plain,
% 199.34/199.31 (~P1(f317(f317(f224(a901),f317(a102,x119081)),x119081))),
% 199.34/199.31 inference(rename_variables,[],[4618])).
% 199.34/199.31 cnf(11917,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x119171),x119171))),
% 199.34/199.31 inference(rename_variables,[],[4610])).
% 199.34/199.31 cnf(11920,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),f40(a901,x119201,x119202)),x119201))),
% 199.34/199.31 inference(rename_variables,[],[3881])).
% 199.34/199.31 cnf(11921,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),f2(a901)),x119211))),
% 199.34/199.31 inference(rename_variables,[],[3458])).
% 199.34/199.31 cnf(11938,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x119381),x119381))),
% 199.34/199.31 inference(rename_variables,[],[4610])).
% 199.34/199.31 cnf(11941,plain,
% 199.34/199.31 (P1(f317(f317(f319(x119411),f317(x119412,x119413)),f317(f300(x119414,x119411,x119412),f232(f907(x119414,a897)))))),
% 199.34/199.31 inference(rename_variables,[],[4019])).
% 199.34/199.31 cnf(11942,plain,
% 199.34/199.31 (~P1(f317(f317(f224(a901),f317(a102,x119421)),x119421))),
% 199.34/199.31 inference(rename_variables,[],[4618])).
% 199.34/199.31 cnf(11945,plain,
% 199.34/199.31 (P1(f317(f317(f319(x119451),f317(x119452,x119453)),f317(f300(x119454,x119451,x119452),f232(f907(x119454,a897)))))),
% 199.34/199.31 inference(rename_variables,[],[4019])).
% 199.34/199.31 cnf(11946,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),f317(f317(f74(a901),x119461),x119462)),x119462))),
% 199.34/199.31 inference(rename_variables,[],[4630])).
% 199.34/199.31 cnf(11951,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),f317(f317(f74(a901),x119511),x119512)),x119511))),
% 199.34/199.31 inference(rename_variables,[],[4631])).
% 199.34/199.31 cnf(11954,plain,
% 199.34/199.31 (~P1(f317(f317(f162(x119541),f103(x119541)),x119542))),
% 199.34/199.31 inference(rename_variables,[],[4617])).
% 199.34/199.31 cnf(11957,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),x119571),x119571))),
% 199.34/199.31 inference(rename_variables,[],[3437])).
% 199.34/199.31 cnf(11959,plain,
% 199.34/199.31 (E(f317(f317(f75(a901),x119591),f317(f317(f30(a901),x119591),x119591)),x119591)),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,3357,4585,10637,10737,11201,3049,3050,3058,3059,3062,3063,3066,3067,3069,3081,3082,3086,3089,3104,3115,3116,3120,3123,3124,3186,3195,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,3374,3883,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3492,11048,3367,4052,4590,10468,10634,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,4466,4467,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,3872,11889,3421,3515,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,4623,11757,11790,11829,11836,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,3438,10592,10648,10882,10976,11095,3439,4610,10485,10511,11020,11059,11068,11917,3585,10742,10833,11103,11147,11381,11384,11463,11545,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,4618,10465,10852,10855,11350,11366,11855,11908,3458,10900,11053,11123,4616,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,4280,4195,3904,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020])).
% 199.34/199.31 cnf(11965,plain,
% 199.34/199.31 (~P32(x119651,x119652,f103(x119651))),
% 199.34/199.31 inference(rename_variables,[],[4597])).
% 199.34/199.31 cnf(11968,plain,
% 199.34/199.31 (P1(f317(f317(f319(x119681),x119682),f232(f907(x119681,a897))))),
% 199.34/199.31 inference(rename_variables,[],[3585])).
% 199.34/199.31 cnf(11969,plain,
% 199.34/199.31 (~P1(f317(f317(f224(a901),f317(a102,x119691)),x119691))),
% 199.34/199.31 inference(rename_variables,[],[4618])).
% 199.34/199.31 cnf(11981,plain,
% 199.34/199.31 (E(f317(f29(x119811),f317(f317(f299(x119811),x119812),f179(f907(x119811,a897)))),f317(a102,f317(f29(x119811),f179(f907(x119811,a897)))))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4596,4597,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,3357,4585,10637,10737,11201,3049,3050,3058,3059,3062,3063,3066,3067,3069,3081,3082,3086,3089,3104,3115,3116,3120,3123,3124,3186,3195,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,3374,3883,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3492,11048,3367,4052,4590,10468,10634,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,4466,4467,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,3872,11889,3421,3515,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,4623,11757,11790,11829,11836,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,3438,10592,10648,10882,10976,11095,3439,3511,4610,10485,10511,11020,11059,11068,11917,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,4618,10465,10852,10855,11350,11366,11855,11908,11942,3458,10900,11053,11123,4616,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,4280,4195,3904,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075])).
% 199.34/199.31 cnf(11982,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x119821),x119822),f179(f907(x119821,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(11985,plain,
% 199.34/199.31 (E(f317(f317(f18(x119851,x119852),x119853),x119854),x119853)),
% 199.34/199.31 inference(rename_variables,[],[3428])).
% 199.34/199.31 cnf(11988,plain,
% 199.34/199.31 (E(f317(f317(f18(x119881,x119882),x119883),x119884),x119883)),
% 199.34/199.31 inference(rename_variables,[],[3428])).
% 199.34/199.31 cnf(12000,plain,
% 199.34/199.31 (P1(f317(f317(f225(a901),f2(a901)),f317(a102,x120001)))),
% 199.34/199.31 inference(rename_variables,[],[3515])).
% 199.34/199.31 cnf(12003,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),x120031),x120031))),
% 199.34/199.31 inference(rename_variables,[],[3437])).
% 199.34/199.31 cnf(12008,plain,
% 199.34/199.31 (P1(f317(f28(x120081),f317(f162(x120081),x120082)))),
% 199.34/199.31 inference(rename_variables,[],[3477])).
% 199.34/199.31 cnf(12011,plain,
% 199.34/199.31 (P1(f317(f28(x120111),f317(f162(x120111),x120112)))),
% 199.34/199.31 inference(rename_variables,[],[3477])).
% 199.34/199.31 cnf(12014,plain,
% 199.34/199.31 (P1(f317(f317(f224(a1),f317(f73(a1),f317(f90(a1),x120141))),f317(f90(a1),x120142)))),
% 199.34/199.31 inference(rename_variables,[],[3905])).
% 199.34/199.31 cnf(12017,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x120171),x120172),f179(f907(x120171,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(12033,plain,
% 199.34/199.31 (~P1(f317(f317(f319(a901),f2(a901)),f317(f291(a901),x120331)))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4596,4597,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,3357,4585,10637,10737,11201,3049,3050,3055,3058,3059,3062,3063,3066,3067,3069,3072,3081,3082,3086,3089,3104,3115,3116,3120,3123,3124,3186,3195,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,3374,3883,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3492,11048,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,4466,4467,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,3872,11889,3421,3515,11714,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,4623,11757,11790,11829,11836,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,3438,10592,10648,10882,10976,11095,3439,3511,4610,10485,10511,11020,11059,11068,11917,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,3458,10900,11053,11123,3905,4616,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,4280,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248])).
% 199.34/199.31 cnf(12037,plain,
% 199.34/199.31 (P1(f317(f317(f224(a1),f40(a901,x120371,f179(a901))),x120371))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4596,4597,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,3357,4585,10637,10737,11201,3049,3050,3055,3058,3059,3062,3063,3066,3067,3069,3072,3081,3082,3086,3089,3104,3115,3116,3120,3123,3124,3186,3195,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,3374,3883,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3492,11048,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,4466,4467,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,3872,11889,3421,3515,11714,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,4623,11757,11790,11829,11836,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,3438,10592,10648,10882,10976,11095,11733,3439,3511,4610,10485,10511,11020,11059,11068,11917,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,3458,10900,11053,11123,3905,4616,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,4280,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277])).
% 199.34/199.31 cnf(12038,plain,
% 199.34/199.31 (P1(f317(f317(f224(a1),x120381),x120381))),
% 199.34/199.31 inference(rename_variables,[],[3438])).
% 199.34/199.31 cnf(12041,plain,
% 199.34/199.31 (P1(f317(f317(f225(a901),x120411),f317(a102,x120411)))),
% 199.34/199.31 inference(rename_variables,[],[3503])).
% 199.34/199.31 cnf(12044,plain,
% 199.34/199.31 (P1(f317(f317(f224(a1),x120441),x120441))),
% 199.34/199.31 inference(rename_variables,[],[3438])).
% 199.34/199.31 cnf(12055,plain,
% 199.34/199.31 (P1(f317(f317(f224(a1),x120551),x120551))),
% 199.34/199.31 inference(rename_variables,[],[3438])).
% 199.34/199.31 cnf(12058,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x120581),f2(a901)))),
% 199.34/199.31 inference(rename_variables,[],[4614])).
% 199.34/199.31 cnf(12063,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x120631),f2(a901)))),
% 199.34/199.31 inference(rename_variables,[],[4614])).
% 199.34/199.31 cnf(12072,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),f2(a901)),x120721))),
% 199.34/199.31 inference(rename_variables,[],[3458])).
% 199.34/199.31 cnf(12073,plain,
% 199.34/199.31 (~P1(f317(f317(f224(a901),f317(a102,x120731)),x120731))),
% 199.34/199.31 inference(rename_variables,[],[4618])).
% 199.34/199.31 cnf(12076,plain,
% 199.34/199.31 (~P1(f317(f317(f162(x120761),f103(x120761)),x120762))),
% 199.34/199.31 inference(rename_variables,[],[4617])).
% 199.34/199.31 cnf(12079,plain,
% 199.34/199.31 (~P1(f317(f317(f162(x120791),f103(x120791)),x120792))),
% 199.34/199.31 inference(rename_variables,[],[4617])).
% 199.34/199.31 cnf(12085,plain,
% 199.34/199.31 (~P1(f317(f317(f276(a901),f317(a102,f317(f317(f74(a901),f317(a102,f2(a901))),x120851))),f317(a102,f2(a901))))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4596,4597,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,3357,4585,10637,10737,11201,3049,3050,3055,3058,3059,3062,3063,3066,3067,3069,3072,3081,3082,3086,3089,3104,3115,3116,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,3374,3883,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3492,11048,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,4466,4467,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,3872,11889,3421,3515,11714,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,4623,11757,11790,11829,11836,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,3438,10592,10648,10882,10976,11095,11733,12038,12044,3439,3511,4610,10485,10511,11020,11059,11068,11917,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,3458,10900,11053,11123,11921,3905,4616,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,4280,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497])).
% 199.34/199.31 cnf(12087,plain,
% 199.34/199.31 (P1(f317(f317(f225(a901),x120871),f317(a102,x120871)))),
% 199.34/199.31 inference(rename_variables,[],[3503])).
% 199.34/199.31 cnf(12095,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a1),f317(f90(a1),f317(a102,x120951))),f317(f73(a1),f2(a1))))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4596,4597,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,3357,4585,10637,10737,11201,3049,3050,3055,3058,3059,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3104,3115,3116,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,3374,3883,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3492,11048,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,4466,4467,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,3872,11889,3421,3515,11714,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,3438,10592,10648,10882,10976,11095,11733,12038,12044,3439,3511,4610,10485,10511,11020,11059,11068,11917,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,3458,10900,11053,11123,11921,3905,4616,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,4280,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538])).
% 199.34/199.31 cnf(12099,plain,
% 199.34/199.31 (P1(f317(f317(f225(a1),f317(f73(a1),f72(a1))),f2(a1)))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4596,4597,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,3357,4585,10637,10737,11201,3049,3050,3055,3058,3059,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3104,3115,3116,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,3374,3883,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3492,11048,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,4466,4467,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,3872,11889,3421,3515,11714,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,3438,10592,10648,10882,10976,11095,11733,12038,12044,3439,3511,4610,10485,10511,11020,11059,11068,11917,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,3458,10900,11053,11123,11921,3905,4616,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,4280,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554])).
% 199.34/199.31 cnf(12102,plain,
% 199.34/199.31 (~P1(f317(f317(f224(a901),f317(a102,x121021)),x121021))),
% 199.34/199.31 inference(rename_variables,[],[4618])).
% 199.34/199.31 cnf(12105,plain,
% 199.34/199.31 (~P1(f317(f317(f224(a901),f317(a102,x121051)),x121051))),
% 199.34/199.31 inference(rename_variables,[],[4618])).
% 199.34/199.31 cnf(12108,plain,
% 199.34/199.31 (~P1(f317(f317(f224(a901),f317(a102,x121081)),x121081))),
% 199.34/199.31 inference(rename_variables,[],[4618])).
% 199.34/199.31 cnf(12111,plain,
% 199.34/199.31 (~P1(f317(f317(f224(a901),f317(a102,x121111)),x121111))),
% 199.34/199.31 inference(rename_variables,[],[4618])).
% 199.34/199.31 cnf(12113,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),f317(f317(f91(a901),x121131),x121132)),x121132))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4596,4597,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,3357,4585,10637,10737,11201,3049,3050,3055,3058,3059,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3104,3115,3116,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,3374,3883,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3492,11048,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,4466,4467,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,3872,11889,3421,3515,11714,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,3438,10592,10648,10882,10976,11095,11733,12038,12044,3439,3511,4610,10485,10511,11020,11059,11068,11917,11938,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,3458,10900,11053,11123,11921,3905,4616,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,4280,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562])).
% 199.34/199.31 cnf(12114,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x121141),x121141))),
% 199.34/199.31 inference(rename_variables,[],[4610])).
% 199.34/199.31 cnf(12117,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x121171),x121171))),
% 199.34/199.31 inference(rename_variables,[],[4610])).
% 199.34/199.31 cnf(12120,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x121201),x121201))),
% 199.34/199.31 inference(rename_variables,[],[4610])).
% 199.34/199.31 cnf(12123,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x121231),x121231))),
% 199.34/199.31 inference(rename_variables,[],[4610])).
% 199.34/199.31 cnf(12140,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),x121401),x121401))),
% 199.34/199.31 inference(rename_variables,[],[3437])).
% 199.34/199.31 cnf(12143,plain,
% 199.34/199.31 (P22(a901,a901,a102,x121431)),
% 199.34/199.31 inference(rename_variables,[],[3636])).
% 199.34/199.31 cnf(12145,plain,
% 199.34/199.31 (P1(f317(f317(f224(a1),x121451),f317(f70(a1),x121451)))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4596,4597,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,3636,3357,4585,10637,10737,11201,3049,3050,3055,3058,3059,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3104,3115,3116,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,3374,3883,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3492,11048,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,4466,4467,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,3872,11889,3421,3515,11714,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,3439,3511,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,3458,10900,11053,11123,11921,3905,4616,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,4280,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653])).
% 199.34/199.31 cnf(12146,plain,
% 199.34/199.31 (P1(f317(f317(f224(a1),x121461),x121461))),
% 199.34/199.31 inference(rename_variables,[],[3438])).
% 199.34/199.31 cnf(12157,plain,
% 199.34/199.31 (P1(f317(f317(f224(a1),x121571),x121571))),
% 199.34/199.31 inference(rename_variables,[],[3438])).
% 199.34/199.31 cnf(12159,plain,
% 199.34/199.31 (~P1(f317(f317(f162(x121591),f317(f126(x121591,x121592),f103(x121591))),x121593))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4596,4597,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,3636,3357,4585,10637,10737,11201,3049,3050,3055,3058,3059,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3104,3115,3116,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,3374,3883,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3492,11048,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,4466,4467,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,3872,11889,3421,3515,11714,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4063,10885,4109,3793,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,3439,3511,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,3458,10900,11053,11123,11921,3905,4616,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,4280,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700])).
% 199.34/199.31 cnf(12160,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x121601,a897)),f317(f162(x121601),f317(f126(x121601,x121602),x121603))),f317(f162(x121601),x121603)))),
% 199.34/199.31 inference(rename_variables,[],[4063])).
% 199.34/199.31 cnf(12167,plain,
% 199.34/199.31 (P1(f317(f317(f225(a901),x121671),f317(a102,x121671)))),
% 199.34/199.31 inference(rename_variables,[],[3503])).
% 199.34/199.31 cnf(12170,plain,
% 199.34/199.31 (P1(f317(f317(f319(f907(x121701,a897)),x121702),f317(f298(x121701),x121702)))),
% 199.34/199.31 inference(rename_variables,[],[3793])).
% 199.34/199.31 cnf(12171,plain,
% 199.34/199.31 (~E(f317(a102,x121711),x121711)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(12176,plain,
% 199.34/199.31 (P1(f317(f317(f224(a1),x121761),x121761))),
% 199.34/199.31 inference(rename_variables,[],[3438])).
% 199.34/199.31 cnf(12180,plain,
% 199.34/199.31 (P1(f317(f317(f225(a901),f317(a95,f2(a1))),f317(a95,f72(a1))))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4596,4597,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,3636,3357,4585,10637,10737,11201,3049,3050,3055,3058,3059,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3104,3115,3116,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,3374,3883,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3492,11048,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,4466,4467,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,3872,11889,3421,3515,11714,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4063,10885,4109,3793,11840,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,3439,3511,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,3458,10900,11053,11123,11921,3905,4616,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,4280,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760])).
% 199.34/199.31 cnf(12181,plain,
% 199.34/199.31 (P1(f317(f317(f224(a1),x121811),x121811))),
% 199.34/199.31 inference(rename_variables,[],[3438])).
% 199.34/199.31 cnf(12189,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a1),f317(f73(a1),a87)),f2(a1)))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4596,4597,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,3636,3357,4585,10637,10737,11201,3049,3050,3055,3058,3059,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3104,3115,3116,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,3374,3883,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3492,11048,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,4466,4467,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,3872,11889,3421,3515,11714,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4063,10885,4109,3793,11840,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,3439,3511,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,3458,10900,11053,11123,11921,3905,4616,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,4280,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797])).
% 199.34/199.31 cnf(12192,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x121921,a897)),x121922),f317(f317(f299(x121921),x121923),x121922)))),
% 199.34/199.31 inference(rename_variables,[],[3867])).
% 199.34/199.31 cnf(12195,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),x121951),x121951))),
% 199.34/199.31 inference(rename_variables,[],[3437])).
% 199.34/199.31 cnf(12196,plain,
% 199.34/199.31 (~E(f317(a102,x121961),x121961)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(12209,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x122091),x122091))),
% 199.34/199.31 inference(rename_variables,[],[4610])).
% 199.34/199.31 cnf(12210,plain,
% 199.34/199.31 (~E(f317(a102,x122101),x122101)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(12212,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),f317(f317(f228(a901),x122121),x122122)),x122122))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4596,4597,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,3636,3357,4585,10637,10737,11201,3049,3050,3055,3058,3059,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3104,3115,3116,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,3374,3883,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3492,11048,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,4466,4467,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,3872,11889,3421,3515,11714,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4063,10885,4109,3793,11840,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,3439,3511,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,3458,10900,11053,11123,11921,3905,4616,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,11190,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,4280,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890])).
% 199.34/199.31 cnf(12213,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),x122131),x122131))),
% 199.34/199.31 inference(rename_variables,[],[3437])).
% 199.34/199.31 cnf(12216,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),x122161),x122161))),
% 199.34/199.31 inference(rename_variables,[],[3437])).
% 199.34/199.31 cnf(12218,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),f317(f317(f92(a901),x122181),x122182)),x122182))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4596,4597,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,3636,3357,4585,10637,10737,11201,3049,3050,3055,3058,3059,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3104,3115,3116,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,3374,3883,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3492,11048,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,4466,4467,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,3872,11889,3421,3515,11714,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4063,10885,4109,3793,11840,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,3439,3511,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,3458,10900,11053,11123,11921,3905,4616,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,11190,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,4280,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894])).
% 199.34/199.31 cnf(12219,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),x122191),x122191))),
% 199.34/199.31 inference(rename_variables,[],[3437])).
% 199.34/199.31 cnf(12222,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),x122221),x122221))),
% 199.34/199.31 inference(rename_variables,[],[3437])).
% 199.34/199.31 cnf(12225,plain,
% 199.34/199.31 (P1(f317(f317(f224(a1),x122251),x122251))),
% 199.34/199.31 inference(rename_variables,[],[3438])).
% 199.34/199.31 cnf(12228,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x122281),x122281))),
% 199.34/199.31 inference(rename_variables,[],[4610])).
% 199.34/199.31 cnf(12231,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x122311),x122311))),
% 199.34/199.31 inference(rename_variables,[],[4610])).
% 199.34/199.31 cnf(12232,plain,
% 199.34/199.31 (P1(f317(f317(f225(a901),x122321),f317(a102,x122321)))),
% 199.34/199.31 inference(rename_variables,[],[3503])).
% 199.34/199.31 cnf(12239,plain,
% 199.34/199.31 (~E(f317(a102,x122391),x122391)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(12244,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x122441),x122441))),
% 199.34/199.31 inference(rename_variables,[],[4610])).
% 199.34/199.31 cnf(12245,plain,
% 199.34/199.31 (~E(f317(a102,x122451),x122451)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(12248,plain,
% 199.34/199.31 (P1(f317(f317(f224(a1),x122481),x122481))),
% 199.34/199.31 inference(rename_variables,[],[3438])).
% 199.34/199.31 cnf(12250,plain,
% 199.34/199.31 (~P1(f317(f317(f224(a901),f317(a95,f72(a1))),f317(a95,f2(a1))))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4596,4597,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,3636,3357,4585,10637,10737,11201,3049,3050,3055,3058,3059,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3104,3115,3116,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,3374,3383,3883,4176,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3492,11048,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,4466,4467,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,3872,11889,3421,3515,11714,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4063,10885,4109,3793,11840,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,3439,3511,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,3458,10900,11053,11123,11921,3905,4616,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,11190,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,4280,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965])).
% 199.34/199.31 cnf(12265,plain,
% 199.34/199.31 (P1(f317(f317(f224(a1),x122651),x122651))),
% 199.34/199.31 inference(rename_variables,[],[3438])).
% 199.34/199.31 cnf(12270,plain,
% 199.34/199.31 (P1(f317(f317(f224(a901),f2(a901)),x122701))),
% 199.34/199.31 inference(rename_variables,[],[3458])).
% 199.34/199.31 cnf(12286,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x122861),f2(a901)))),
% 199.34/199.31 inference(rename_variables,[],[4614])).
% 199.34/199.31 cnf(12289,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x122891),f2(a901)))),
% 199.34/199.31 inference(rename_variables,[],[4614])).
% 199.34/199.31 cnf(12292,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x122921),x122922),f179(f907(x122921,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(12295,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x122951),x122952),f179(f907(x122951,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(12298,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x122981),x122981))),
% 199.34/199.31 inference(rename_variables,[],[4610])).
% 199.34/199.31 cnf(12300,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x123001),f317(f317(f228(a901),x123001),x123002)))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4596,4597,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,3636,3357,4585,10637,10737,11201,3049,3050,3055,3058,3059,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3104,3115,3116,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,3374,3383,3883,4176,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3492,11048,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,4466,4467,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,3872,11889,3421,3515,11714,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4063,10885,4109,3793,11840,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,3439,3511,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,3458,10900,11053,11123,11921,12072,3905,4616,3916,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,11190,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,4280,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141])).
% 199.34/199.31 cnf(12301,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x123011),x123011))),
% 199.34/199.31 inference(rename_variables,[],[4610])).
% 199.34/199.31 cnf(12304,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x123041),x123041))),
% 199.34/199.31 inference(rename_variables,[],[4610])).
% 199.34/199.31 cnf(12306,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x123061),f317(f317(f92(a901),x123061),x123062)))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4596,4597,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,3636,3357,4585,10637,10737,11201,3049,3050,3055,3058,3059,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3104,3115,3116,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,3374,3383,3883,4176,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3492,11048,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,4466,4467,3729,3938,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,3872,11889,3421,3515,11714,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4063,10885,4109,3793,11840,4142,3810,10600,10697,11250,11331,11410,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,3439,3511,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,3458,10900,11053,11123,11921,12072,3905,4616,3916,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,11190,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,4280,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143])).
% 199.34/199.31 cnf(12307,plain,
% 199.34/199.31 (~P1(f317(f317(f225(a901),x123071),x123071))),
% 199.34/199.31 inference(rename_variables,[],[4610])).
% 199.34/199.31 cnf(12310,plain,
% 199.34/199.31 (P1(f317(f317(f225(a901),x123101),f317(a102,x123101)))),
% 199.34/199.31 inference(rename_variables,[],[3503])).
% 199.34/199.31 cnf(12317,plain,
% 199.34/199.31 (P1(f317(f317(f319(f907(x123171,a897)),x123172),f317(f298(x123171),x123172)))),
% 199.34/199.31 inference(rename_variables,[],[3793])).
% 199.34/199.31 cnf(12322,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x123221,a897)),x123222),f317(f317(f299(x123221),x123223),x123222)))),
% 199.34/199.31 inference(rename_variables,[],[3867])).
% 199.34/199.31 cnf(12329,plain,
% 199.34/199.31 (~P1(f317(f317(f319(x123291),x123292),f179(f907(x123291,a897))))),
% 199.34/199.31 inference(rename_variables,[],[4621])).
% 199.34/199.31 cnf(12338,plain,
% 199.34/199.31 (P1(f317(f317(f224(f907(x123381,a897)),x123382),f232(f907(x123381,a897))))),
% 199.34/199.31 inference(rename_variables,[],[3810])).
% 199.34/199.31 cnf(12339,plain,
% 199.34/199.31 (~E(f317(a102,x123391),x123391)),
% 199.34/199.31 inference(rename_variables,[],[4579])).
% 199.34/199.31 cnf(12345,plain,
% 199.34/199.31 (P1(f317(f317(f225(a901),x123451),f317(a102,x123451)))),
% 199.34/199.31 inference(rename_variables,[],[3503])).
% 199.34/199.31 cnf(12353,plain,
% 199.34/199.31 (~P1(f317(f317(f319(f906(x123531,x123531)),x123532),f143(x123531,f103(f907(x123531,a901)))))),
% 199.34/199.31 inference(scs_inference,[],[3414,3667,4596,4597,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,3636,3357,4585,10637,10737,11201,3049,3050,3054,3055,3058,3059,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3104,3115,3116,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,3374,3383,3883,4176,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3492,11048,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,4466,4467,3729,3938,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4063,10885,4109,3793,11840,12170,4142,3810,10600,10697,11250,11331,11410,11474,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,3439,3511,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,3458,10900,11053,11123,11921,12072,3905,4616,3916,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,11190,12192,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,4280,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362])).
% 199.34/199.32 cnf(12354,plain,
% 199.34/199.32 (E(f317(f273(x123541,x123541),f253(x123541,x123542)),x123542)),
% 199.34/199.32 inference(rename_variables,[],[3397])).
% 199.34/199.32 cnf(12365,plain,
% 199.34/199.32 (~P1(f317(f317(f224(a901),f317(a102,x123651)),x123651))),
% 199.34/199.32 inference(rename_variables,[],[4618])).
% 199.34/199.32 cnf(12366,plain,
% 199.34/199.32 (~P1(f317(f317(f225(a901),x123661),f2(a901)))),
% 199.34/199.32 inference(rename_variables,[],[4614])).
% 199.34/199.32 cnf(12371,plain,
% 199.34/199.32 (P1(f317(f28(x123711),f179(f907(x123711,a897))))),
% 199.34/199.32 inference(rename_variables,[],[3511])).
% 199.34/199.32 cnf(12372,plain,
% 199.34/199.32 (~P1(f317(f317(f319(x123721),x123722),f179(f907(x123721,a897))))),
% 199.34/199.32 inference(rename_variables,[],[4621])).
% 199.34/199.32 cnf(12379,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x123791,a897)),f317(f162(x123791),f166(x123791,x123792,x123793))),f317(f162(x123791),x123792)))),
% 199.34/199.32 inference(rename_variables,[],[4109])).
% 199.34/199.32 cnf(12382,plain,
% 199.34/199.32 (P22(x123821,x123821,f7(x123821),x123822)),
% 199.34/199.32 inference(rename_variables,[],[3667])).
% 199.34/199.32 cnf(12386,plain,
% 199.34/199.32 (P1(f317(f317(f319(a899),a800),f31(f907(a899,a897),f317(f298(a899),a909))))),
% 199.34/199.32 inference(scs_inference,[],[3414,3667,11321,4596,4597,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,3636,3357,4585,10637,10737,11201,3049,3050,3054,3055,3058,3059,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3104,3115,3116,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,3374,3383,3883,4176,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3492,11048,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,4466,4467,3729,3938,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,12011,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4063,10885,4109,11253,3793,11840,12170,12317,4142,3810,10600,10697,11250,11331,11410,11474,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,3439,3511,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,3458,10900,11053,11123,11921,12072,3905,4616,3916,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,11190,12192,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,4280,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576])).
% 199.34/199.32 cnf(12387,plain,
% 199.34/199.32 (P1(f317(f317(f319(f907(x123871,a897)),x123872),f317(f298(x123871),x123872)))),
% 199.34/199.32 inference(rename_variables,[],[3793])).
% 199.34/199.32 cnf(12394,plain,
% 199.34/199.32 (P1(f317(f317(f224(a901),x123941),x123941))),
% 199.34/199.32 inference(rename_variables,[],[3437])).
% 199.34/199.32 cnf(12397,plain,
% 199.34/199.32 (~P1(f317(f317(f319(x123971),x123972),f179(f907(x123971,a897))))),
% 199.34/199.32 inference(rename_variables,[],[4621])).
% 199.34/199.32 cnf(12400,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x124001,a897)),x124002),f317(f317(f299(x124001),x124003),x124002)))),
% 199.34/199.32 inference(rename_variables,[],[3867])).
% 199.34/199.32 cnf(12401,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x124011,a897)),x124012),f232(f907(x124011,a897))))),
% 199.34/199.32 inference(rename_variables,[],[3810])).
% 199.34/199.32 cnf(12408,plain,
% 199.34/199.32 (P1(f317(f317(f224(a901),x124081),x124081))),
% 199.34/199.32 inference(rename_variables,[],[3437])).
% 199.34/199.32 cnf(12411,plain,
% 199.34/199.32 (P1(f317(f317(f224(a901),x124111),x124111))),
% 199.34/199.32 inference(rename_variables,[],[3437])).
% 199.34/199.32 cnf(12414,plain,
% 199.34/199.32 (P1(f317(f317(f224(a901),x124141),x124141))),
% 199.34/199.32 inference(rename_variables,[],[3437])).
% 199.34/199.32 cnf(12417,plain,
% 199.34/199.32 (P1(f317(f317(f224(a901),x124171),x124171))),
% 199.34/199.32 inference(rename_variables,[],[3437])).
% 199.34/199.32 cnf(12419,plain,
% 199.34/199.32 (P1(f317(f317(f225(a901),x124191),f317(a102,f317(f317(f178(a901),x124192),x124191))))),
% 199.34/199.32 inference(scs_inference,[],[3414,3667,11321,4596,4597,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,3636,3357,4585,10637,10737,11201,3049,3050,3054,3055,3058,3059,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3104,3115,3116,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,3374,3383,3883,4176,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3492,11048,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,4466,4467,3729,3938,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,12011,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4063,10885,4109,11253,3793,11840,12170,12317,4142,3810,10600,10697,11250,11331,11410,11474,12338,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,3439,3511,12371,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,3458,10900,11053,11123,11921,12072,3905,4616,3916,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,11190,12192,12322,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,4280,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686])).
% 199.34/199.32 cnf(12420,plain,
% 199.34/199.32 (P1(f317(f317(f225(a901),x124201),f317(a102,x124201)))),
% 199.34/199.32 inference(rename_variables,[],[3503])).
% 199.34/199.32 cnf(12423,plain,
% 199.34/199.32 (P1(f317(f317(f225(a901),x124231),f317(a102,x124231)))),
% 199.34/199.32 inference(rename_variables,[],[3503])).
% 199.34/199.32 cnf(12425,plain,
% 199.34/199.32 (P1(f317(f317(f276(a901),x124251),f317(f317(f75(a901),x124252),x124251)))),
% 199.34/199.32 inference(scs_inference,[],[3414,3667,11321,4596,4597,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,3636,3357,4585,10637,10737,11201,3049,3050,3054,3055,3058,3059,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3104,3115,3116,3117,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,3374,3383,3883,4176,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3492,11048,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,4466,4467,3729,3938,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,12011,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4063,10885,4109,11253,3793,11840,12170,12317,4142,3810,10600,10697,11250,11331,11410,11474,12338,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,3439,3511,12371,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,3458,10900,11053,11123,11921,12072,3905,4616,3916,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,11190,12192,12322,3725,11306,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,4280,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688])).
% 199.34/199.32 cnf(12426,plain,
% 199.34/199.32 (P1(f317(f317(f276(a901),x124261),x124261))),
% 199.34/199.32 inference(rename_variables,[],[3439])).
% 199.34/199.32 cnf(12429,plain,
% 199.34/199.32 (P1(f317(f317(f276(a901),x124291),x124291))),
% 199.34/199.32 inference(rename_variables,[],[3439])).
% 199.34/199.32 cnf(12431,plain,
% 199.34/199.32 (P1(f317(f317(f224(a897),x124311),x124311))),
% 199.34/199.32 inference(scs_inference,[],[3414,3667,11321,4596,4597,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,3636,3357,4585,10637,10737,11201,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3104,3115,3116,3117,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,3374,3383,3883,4176,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3492,11048,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,4466,4467,3729,3938,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,12011,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4063,10885,4109,11253,3793,11840,12170,12317,4142,3810,10600,10697,11250,11331,11410,11474,12338,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,3439,12426,3511,12371,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,3458,10900,11053,11123,11921,12072,3905,4616,3916,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,11190,12192,12322,3725,11306,11428,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,4280,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712])).
% 199.34/199.32 cnf(12432,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x124321,a897)),x124322),x124322))),
% 199.34/199.32 inference(rename_variables,[],[3725])).
% 199.34/199.32 cnf(12434,plain,
% 199.34/199.32 (~P1(f317(f317(f224(a1),f317(f317(f3(a1),a77),a87)),f2(a1)))),
% 199.34/199.32 inference(scs_inference,[],[3414,3667,11321,4596,4597,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,3636,3357,4585,10637,10737,11201,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3104,3115,3116,3117,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,3374,3383,3883,4176,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3492,11048,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,4466,4467,3729,3938,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,12011,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4063,10885,4109,11253,3793,11840,12170,12317,4142,3810,10600,10697,11250,11331,11410,11474,12338,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,3439,12426,3511,12371,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,3458,10900,11053,11123,11921,12072,3905,4616,3916,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,11190,12192,12322,3725,11306,11428,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,4280,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712,7738])).
% 199.34/199.32 cnf(12439,plain,
% 199.34/199.32 (P1(f317(f317(f319(f907(x124391,a897)),x124392),f317(f298(x124391),x124392)))),
% 199.34/199.32 inference(rename_variables,[],[3793])).
% 199.34/199.32 cnf(12448,plain,
% 199.34/199.32 (~E(f317(a102,x124481),x124481)),
% 199.34/199.32 inference(rename_variables,[],[4579])).
% 199.34/199.32 cnf(12449,plain,
% 199.34/199.32 (E(f317(f300(x124491,x124491,f7(x124491)),x124492),x124492)),
% 199.34/199.32 inference(rename_variables,[],[3492])).
% 199.34/199.32 cnf(12452,plain,
% 199.34/199.32 (P29(x124521,x124522,f103(x124521),f103(x124521))),
% 199.34/199.32 inference(rename_variables,[],[3677])).
% 199.34/199.32 cnf(12455,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x124551,a897)),f317(f162(x124551),f166(x124551,x124552,x124553))),f317(f162(x124551),x124552)))),
% 199.34/199.32 inference(rename_variables,[],[4109])).
% 199.34/199.32 cnf(12456,plain,
% 199.34/199.32 (P1(f317(f28(x124561),f317(f162(x124561),x124562)))),
% 199.34/199.32 inference(rename_variables,[],[3477])).
% 199.34/199.32 cnf(12466,plain,
% 199.34/199.32 (~P1(f317(f317(f225(a901),f317(f246(x124661,x124662),f317(f317(f242(x124661,x124662),a909),x124663))),x124663))),
% 199.34/199.32 inference(scs_inference,[],[3414,3667,11321,3677,4596,4597,4595,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,3636,3357,4585,10637,10737,11201,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3104,3115,3116,3117,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,3374,3383,3883,4176,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3492,11048,11175,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3792,4466,4467,3729,3938,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,12011,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4063,10885,4109,11253,12379,3793,11840,12170,12317,12387,4142,3810,10600,10697,11250,11331,11410,11474,12338,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,3439,12426,3511,12371,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,3458,10900,11053,11123,11921,12072,3905,4616,3916,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,11190,12192,12322,3725,11306,11428,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,4280,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712,7738,7739,7771,7773,7774,7775,7781,7801,7818,7823,7829,7831,7839,7852])).
% 199.34/199.32 cnf(12467,plain,
% 199.34/199.32 (~P1(f317(f317(f225(a901),x124671),x124671))),
% 199.34/199.32 inference(rename_variables,[],[4610])).
% 199.34/199.32 cnf(12470,plain,
% 199.34/199.32 (~P1(f317(f317(f225(a901),x124701),x124701))),
% 199.34/199.32 inference(rename_variables,[],[4610])).
% 199.34/199.32 cnf(12475,plain,
% 199.34/199.32 (P1(f317(f317(f224(a901),f2(a901)),x124751))),
% 199.34/199.32 inference(rename_variables,[],[3458])).
% 199.34/199.32 cnf(12484,plain,
% 199.34/199.32 (P11(a901,f317(f158(a901),f317(f317(f144(f902(x124841),a901),f180(f902(x124841))),f169(x124841,x124842))))),
% 199.34/199.32 inference(rename_variables,[],[3982])).
% 199.34/199.32 cnf(12487,plain,
% 199.34/199.32 (P22(x124871,x124871,f7(x124871),x124872)),
% 199.34/199.32 inference(rename_variables,[],[3667])).
% 199.34/199.32 cnf(12490,plain,
% 199.34/199.32 (P22(x124901,x124901,f7(x124901),x124902)),
% 199.34/199.32 inference(rename_variables,[],[3667])).
% 199.34/199.32 cnf(12493,plain,
% 199.34/199.32 (P1(f317(f317(f319(f902(x124931)),f103(x124931)),f151(x124931,x124932)))),
% 199.34/199.32 inference(rename_variables,[],[3628])).
% 199.34/199.32 cnf(12496,plain,
% 199.34/199.32 (~P1(f317(f317(f179(f907(x124961,f907(x124962,a897))),x124963),x124964))),
% 199.34/199.32 inference(rename_variables,[],[4634])).
% 199.34/199.32 cnf(12498,plain,
% 199.34/199.32 (P1(f317(f317(f225(f907(x124981,a897)),f317(a102,f232(f907(x124981,a897)))),f317(f317(f299(x124981),x124982),f232(f907(x124981,a897)))))),
% 199.34/199.32 inference(scs_inference,[],[3414,3667,11321,12382,12487,3677,4596,4597,4595,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,3636,3357,4585,10637,10737,11201,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3104,3115,3116,3117,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,3374,3383,3883,4176,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3316,3492,11048,11175,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3628,3792,4466,4467,3729,3938,3982,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,12011,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4063,10885,4109,11253,12379,3793,11840,12170,12317,12387,4142,3810,10600,10697,11250,11331,11410,11474,12338,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,3439,12426,3511,12371,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,3458,10900,11053,11123,11921,12072,12270,3905,4616,3916,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,11190,12192,12322,3725,11306,11428,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,10769,4280,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712,7738,7739,7771,7773,7774,7775,7781,7801,7818,7823,7829,7831,7839,7852,7853,7855,7877,7884,7907,7941,7977,7978,7979,8023,8029,8030])).
% 199.34/199.32 cnf(12501,plain,
% 199.34/199.32 (P1(f317(f317(f224(a901),x125011),x125011))),
% 199.34/199.32 inference(rename_variables,[],[3437])).
% 199.34/199.32 cnf(12502,plain,
% 199.34/199.32 (P1(f317(f317(f224(a901),f2(a901)),x125021))),
% 199.34/199.32 inference(rename_variables,[],[3458])).
% 199.34/199.32 cnf(12505,plain,
% 199.34/199.32 (~P1(f317(f317(f179(f907(x125051,f907(x125052,a897))),x125053),x125054))),
% 199.34/199.32 inference(rename_variables,[],[4634])).
% 199.34/199.32 cnf(12508,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(f906(f902(x125081),f902(x125081)),a897)),f148(x125081,x125082)),f297(f902(x125081),f147(x125081,x125082))))),
% 199.34/199.32 inference(rename_variables,[],[4114])).
% 199.34/199.32 cnf(12514,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x125141,a897)),f317(f300(x125142,x125141,x125143),f317(f301(x125142,x125141,x125143),x125144))),x125144))),
% 199.34/199.32 inference(rename_variables,[],[4280])).
% 199.34/199.32 cnf(12517,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x125171,a897)),f317(f162(x125171),f166(x125171,x125172,x125173))),f317(f162(x125171),x125172)))),
% 199.34/199.32 inference(rename_variables,[],[4109])).
% 199.34/199.32 cnf(12518,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x125181,a897)),f317(f162(x125181),f317(f126(x125181,x125182),x125183))),f317(f162(x125181),x125183)))),
% 199.34/199.32 inference(rename_variables,[],[4063])).
% 199.34/199.32 cnf(12520,plain,
% 199.34/199.32 (~P1(f317(f317(f224(f907(x125201,a897)),f232(f907(x125201,a897))),f179(f907(x125201,a897))))),
% 199.34/199.32 inference(scs_inference,[],[3414,3667,11321,12382,12487,3677,4596,4597,3310,4595,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,3636,3357,4585,10637,10737,11201,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3104,3115,3116,3117,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,3374,3383,3883,4176,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3316,3492,11048,11175,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3628,3792,4466,4467,3729,3938,3982,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,12011,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,4109,11253,12379,12455,3793,11840,12170,12317,12387,4142,3810,10600,10697,11250,11331,11410,11474,12338,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,3439,12426,3511,12371,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,3458,10900,11053,11123,11921,12072,12270,12475,3905,4616,3916,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,11190,12192,12322,3725,11306,11428,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,10769,12496,4280,11039,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712,7738,7739,7771,7773,7774,7775,7781,7801,7818,7823,7829,7831,7839,7852,7853,7855,7877,7884,7907,7941,7977,7978,7979,8023,8029,8030,8049,8050,8067,8068,8069,8124,8125])).
% 199.34/199.32 cnf(12521,plain,
% 199.34/199.32 (~P1(f317(f317(f225(f907(x125211,a897)),x125212),f179(f907(x125211,a897))))),
% 199.34/199.32 inference(rename_variables,[],[4627])).
% 199.34/199.32 cnf(12529,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x125291,a897)),f317(f300(x125292,x125291,x125293),f317(f301(x125292,x125291,x125293),x125294))),x125294))),
% 199.34/199.32 inference(rename_variables,[],[4280])).
% 199.34/199.32 cnf(12533,plain,
% 199.34/199.32 (P1(f317(f317(f319(f906(f902(a901),f902(a901))),f317(f317(f242(f902(a901),f902(a901)),f103(a901)),f104(a901,f103(a901)))),f253(f902(a901),f151(a901,x125331))))),
% 199.34/199.32 inference(scs_inference,[],[3414,3667,11321,12382,12487,3677,3684,3407,4596,4597,3307,3310,4595,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,3636,3357,4585,10637,10737,11201,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3098,3104,3115,3116,3117,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,3374,3383,3883,4176,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3316,3492,11048,11175,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3628,12493,3792,4466,4467,3729,3938,3982,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,12011,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,4109,11253,12379,12455,3793,11840,12170,12317,12387,4142,3810,10600,10697,11250,11331,11410,11474,12338,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,3439,12426,3511,12371,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,3458,10900,11053,11123,11921,12072,12270,12475,3905,4616,3916,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,11190,12192,12322,3725,11306,11428,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,10769,12496,4280,11039,12514,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712,7738,7739,7771,7773,7774,7775,7781,7801,7818,7823,7829,7831,7839,7852,7853,7855,7877,7884,7907,7941,7977,7978,7979,8023,8029,8030,8049,8050,8067,8068,8069,8124,8125,8155,8187,8196,8211,8226])).
% 199.34/199.32 cnf(12534,plain,
% 199.34/199.32 (P1(f317(f317(f319(f902(x125341)),f103(x125341)),f151(x125341,x125342)))),
% 199.34/199.32 inference(rename_variables,[],[3628])).
% 199.34/199.32 cnf(12537,plain,
% 199.34/199.32 (~P1(f317(f317(f319(f906(f902(x125371),f902(x125371))),f317(f317(f242(f902(x125371),f902(x125371)),x125372),f103(x125371))),f135(x125371,x125373)))),
% 199.34/199.32 inference(rename_variables,[],[4640])).
% 199.34/199.32 cnf(12540,plain,
% 199.34/199.32 (~P1(f317(f317(f225(a901),x125401),f2(a901)))),
% 199.34/199.32 inference(rename_variables,[],[4614])).
% 199.34/199.32 cnf(12542,plain,
% 199.34/199.32 (~P1(f317(f28(x125421),f232(f907(x125421,a897))))),
% 199.34/199.32 inference(scs_inference,[],[3414,3667,11321,12382,12487,3677,3684,3407,4596,4597,3307,3310,4595,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,3636,3357,4585,10637,10737,11201,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3098,3104,3115,3116,3117,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,3374,3383,3883,4176,3273,3630,3972,11653,3337,3269,3297,3292,3279,3280,3896,3316,3492,11048,11175,3367,4052,4590,10468,10634,3428,11985,4619,11227,11326,11562,11565,3539,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,4640,11150,11391,11500,11526,11570,11576,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3628,12493,12534,3792,4466,4467,3729,3938,3982,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,12011,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,4109,11253,12379,12455,3793,11840,12170,12317,12387,4142,3810,10600,10697,11250,11331,11410,11474,12338,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,3439,12426,3511,12371,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,3458,10900,11053,11123,11921,12072,12270,12475,3905,4616,3916,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,4019,11596,11941,3867,11166,11172,11190,12192,12322,3725,11306,11428,12432,3869,10903,11269,11434,11468,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,10769,12496,4280,11039,12514,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712,7738,7739,7771,7773,7774,7775,7781,7801,7818,7823,7829,7831,7839,7852,7853,7855,7877,7884,7907,7941,7977,7978,7979,8023,8029,8030,8049,8050,8067,8068,8069,8124,8125,8155,8187,8196,8211,8226,8256,8260,8266])).
% 199.34/199.32 cnf(12543,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x125431,a897)),x125432),x125432))),
% 199.34/199.32 inference(rename_variables,[],[3725])).
% 199.34/199.32 cnf(12546,plain,
% 199.34/199.32 (~P1(f317(f317(f319(x125461),x125462),f179(f907(x125461,a897))))),
% 199.34/199.32 inference(rename_variables,[],[4621])).
% 199.34/199.32 cnf(12549,plain,
% 199.34/199.32 (~P1(f317(f317(f179(f907(x125491,f907(x125492,a897))),x125493),x125494))),
% 199.34/199.32 inference(rename_variables,[],[4634])).
% 199.34/199.32 cnf(12552,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x125521,a897)),f317(f300(x125522,x125521,x125523),f317(f301(x125522,x125521,x125523),x125524))),x125524))),
% 199.34/199.32 inference(rename_variables,[],[4280])).
% 199.34/199.32 cnf(12553,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x125531,a897)),x125532),x125532))),
% 199.34/199.32 inference(rename_variables,[],[3725])).
% 199.34/199.32 cnf(12558,plain,
% 199.34/199.32 (E(f317(f273(x125581,x125581),f253(x125581,x125582)),x125582)),
% 199.34/199.32 inference(rename_variables,[],[3397])).
% 199.34/199.32 cnf(12561,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x125611,a897)),f317(f162(x125611),f166(x125611,x125612,x125613))),f317(f162(x125611),x125612)))),
% 199.34/199.32 inference(rename_variables,[],[4109])).
% 199.34/199.32 cnf(12562,plain,
% 199.34/199.32 (P1(f317(f28(x125621),f317(f162(x125621),x125622)))),
% 199.34/199.32 inference(rename_variables,[],[3477])).
% 199.34/199.32 cnf(12565,plain,
% 199.34/199.32 (P1(f317(f317(f224(a901),x125651),x125651))),
% 199.34/199.32 inference(rename_variables,[],[3437])).
% 199.34/199.32 cnf(12568,plain,
% 199.34/199.32 (~P1(f317(f317(f225(a901),x125681),x125681))),
% 199.34/199.32 inference(rename_variables,[],[4610])).
% 199.34/199.32 cnf(12571,plain,
% 199.34/199.32 (~P1(f317(f317(f225(a901),x125711),x125711))),
% 199.34/199.32 inference(rename_variables,[],[4610])).
% 199.34/199.32 cnf(12582,plain,
% 199.34/199.32 (P22(x125821,x125821,f7(x125821),x125822)),
% 199.34/199.32 inference(rename_variables,[],[3667])).
% 199.34/199.32 cnf(12590,plain,
% 199.34/199.32 (~P1(f317(f317(f319(x125901),x125902),f179(f907(x125901,a897))))),
% 199.34/199.32 inference(rename_variables,[],[4621])).
% 199.34/199.32 cnf(12593,plain,
% 199.34/199.32 (P1(f317(f317(f319(f906(x125931,x125931)),f317(f317(f242(x125931,x125931),x125932),x125932)),f297(x125931,x125933)))),
% 199.34/199.32 inference(rename_variables,[],[4055])).
% 199.34/199.32 cnf(12596,plain,
% 199.34/199.32 (~P1(f317(f317(f319(x125961),x125962),f179(f907(x125961,a897))))),
% 199.34/199.32 inference(rename_variables,[],[4621])).
% 199.34/199.32 cnf(12599,plain,
% 199.34/199.32 (P1(f317(f317(f319(f906(x125991,x125991)),f317(f317(f242(x125991,x125991),x125992),x125992)),f297(x125991,x125993)))),
% 199.34/199.32 inference(rename_variables,[],[4055])).
% 199.34/199.32 cnf(12606,plain,
% 199.34/199.32 (~E(f317(f317(f141(x126061),x126062),x126063),x126063)),
% 199.34/199.32 inference(rename_variables,[],[4590])).
% 199.34/199.32 cnf(12613,plain,
% 199.34/199.32 (P1(f317(f317(f319(x126131),x126132),f232(f907(x126131,a897))))),
% 199.34/199.32 inference(rename_variables,[],[3585])).
% 199.34/199.32 cnf(12614,plain,
% 199.34/199.32 (~E(f317(a102,x126141),x126141)),
% 199.34/199.32 inference(rename_variables,[],[4579])).
% 199.34/199.32 cnf(12617,plain,
% 199.34/199.32 (P1(f317(f317(f319(f902(x126171)),f103(x126171)),f151(x126171,x126172)))),
% 199.34/199.32 inference(rename_variables,[],[3628])).
% 199.34/199.32 cnf(12618,plain,
% 199.34/199.32 (~E(f317(f317(f141(x126181),x126182),x126183),f103(x126181))),
% 199.34/199.32 inference(rename_variables,[],[4593])).
% 199.34/199.32 cnf(12623,plain,
% 199.34/199.32 (P22(x126231,x126231,f7(x126231),x126232)),
% 199.34/199.32 inference(rename_variables,[],[3667])).
% 199.34/199.32 cnf(12626,plain,
% 199.34/199.32 (P1(f317(f317(f319(x126261),f317(x126262,x126263)),f317(f300(x126264,x126261,x126262),f232(f907(x126264,a897)))))),
% 199.34/199.32 inference(rename_variables,[],[4019])).
% 199.34/199.32 cnf(12627,plain,
% 199.34/199.32 (P22(x126271,x126271,f7(x126271),x126272)),
% 199.34/199.32 inference(rename_variables,[],[3667])).
% 199.34/199.32 cnf(12630,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x126301,a897)),f179(f907(x126301,a897))),x126302))),
% 199.34/199.32 inference(rename_variables,[],[3869])).
% 199.34/199.32 cnf(12631,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x126311,a897)),x126312),x126312))),
% 199.34/199.32 inference(rename_variables,[],[3725])).
% 199.34/199.32 cnf(12634,plain,
% 199.34/199.32 (P1(f317(f317(f319(x126341),f317(x126342,x126343)),f317(f300(x126344,x126341,x126342),f232(f907(x126344,a897)))))),
% 199.34/199.32 inference(rename_variables,[],[4019])).
% 199.34/199.32 cnf(12635,plain,
% 199.34/199.32 (P22(x126351,x126351,f7(x126351),x126352)),
% 199.34/199.32 inference(rename_variables,[],[3667])).
% 199.34/199.32 cnf(12638,plain,
% 199.34/199.32 (P1(f317(f317(f319(f906(f902(x126381),f902(x126381))),f317(f317(f242(f902(x126381),f902(x126381)),f103(x126381)),f103(x126381))),f148(x126381,x126382)))),
% 199.34/199.32 inference(rename_variables,[],[4190])).
% 199.34/199.32 cnf(12642,plain,
% 199.34/199.32 (~P1(f317(f317(f225(a901),x126421),f2(a901)))),
% 199.34/199.32 inference(rename_variables,[],[4614])).
% 199.34/199.32 cnf(12648,plain,
% 199.34/199.32 (E(f317(f317(f124(x126481),x126482),f103(x126481)),x126482)),
% 199.34/199.32 inference(rename_variables,[],[3368])).
% 199.34/199.32 cnf(12649,plain,
% 199.34/199.32 (~E(f317(f317(f141(x126491),x126492),x126493),x126493)),
% 199.34/199.32 inference(rename_variables,[],[4590])).
% 199.34/199.32 cnf(12651,plain,
% 199.34/199.32 (E(f317(f317(f141(x126511),x126512),f663(f103(x126511),f317(f317(f141(x126511),x126512),f103(x126511)),f103(x126511),x126512,x126511)),f317(f317(f141(x126511),x126512),f103(x126511)))),
% 199.34/199.32 inference(scs_inference,[],[3414,3667,11321,12382,12487,12490,12582,12623,12627,3677,3684,3407,4596,4597,3307,3310,4595,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,12448,3491,3636,12143,3357,4585,10637,10737,11201,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3098,3104,3115,3116,3117,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,12354,3368,12648,3374,3383,3883,4176,3273,3630,3972,11653,3337,3269,3297,3746,3292,3279,3280,3896,3316,3492,11048,11175,3367,4052,4590,10468,10634,11506,12606,12649,4593,3428,11985,4619,11227,11326,11562,11565,3539,4599,3331,3332,10535,10867,3590,3251,3353,11643,4190,4055,11247,11378,11437,12593,4640,11150,11391,11500,11526,11570,11576,12537,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3628,12493,12534,12617,3792,3578,4466,4467,3729,3938,3982,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,12423,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,12540,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3621,4626,4183,11523,3751,3477,12008,12011,12456,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,4109,11253,12379,12455,12517,12561,3793,11840,12170,12317,12387,4142,3810,10600,10697,11250,11331,11410,11474,12338,12401,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,12501,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,3439,12426,3511,12371,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,12470,12568,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,12397,12546,12590,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,3458,10900,11053,11123,11921,12072,12270,12475,3905,4616,3916,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,11599,4019,11596,11941,11945,12626,3867,11166,11172,11190,12192,12322,3725,11306,11428,12432,12543,12553,3869,10903,11269,11434,11468,11479,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,10769,12496,12505,4280,11039,12514,12529,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712,7738,7739,7771,7773,7774,7775,7781,7801,7818,7823,7829,7831,7839,7852,7853,7855,7877,7884,7907,7941,7977,7978,7979,8023,8029,8030,8049,8050,8067,8068,8069,8124,8125,8155,8187,8196,8211,8226,8256,8260,8266,8278,8296,8302,8323,8367,8396,8410,8430,8433,8456,8482,8538,8539,8542,8543,8610,8648,8649,8650,8651,8708,8738,8746,8747,8782,8802,8816,8848,8857,8908,8911,8928,8935,8978,9019,9020])).
% 199.34/199.32 cnf(12652,plain,
% 199.34/199.32 (E(f317(f317(f124(x126521),x126522),f103(x126521)),x126522)),
% 199.34/199.32 inference(rename_variables,[],[3368])).
% 199.34/199.32 cnf(12653,plain,
% 199.34/199.32 (~E(f317(f317(f141(x126531),x126532),x126533),x126533)),
% 199.34/199.32 inference(rename_variables,[],[4590])).
% 199.34/199.32 cnf(12656,plain,
% 199.34/199.32 (E(f317(f317(f124(x126561),x126562),f103(x126561)),x126562)),
% 199.34/199.32 inference(rename_variables,[],[3368])).
% 199.34/199.32 cnf(12663,plain,
% 199.34/199.32 (P49(x126631,f253(x126631,x126632))),
% 199.34/199.32 inference(rename_variables,[],[3311])).
% 199.34/199.32 cnf(12666,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x126661,a897)),f317(f162(x126661),f317(f126(x126661,x126662),x126663))),f317(f162(x126661),x126663)))),
% 199.34/199.32 inference(rename_variables,[],[4063])).
% 199.34/199.32 cnf(12667,plain,
% 199.34/199.32 (E(f317(f300(x126671,x126671,f7(x126671)),x126672),x126672)),
% 199.34/199.32 inference(rename_variables,[],[3492])).
% 199.34/199.32 cnf(12672,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x126721,a897)),x126722),f232(f907(x126721,a897))))),
% 199.34/199.32 inference(rename_variables,[],[3810])).
% 199.34/199.32 cnf(12676,plain,
% 199.34/199.32 (~P1(f317(f317(f225(a901),x126761),x126761))),
% 199.34/199.32 inference(rename_variables,[],[4610])).
% 199.34/199.32 cnf(12677,plain,
% 199.34/199.32 (~E(f317(a102,x126771),x126771)),
% 199.34/199.32 inference(rename_variables,[],[4579])).
% 199.34/199.32 cnf(12680,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x126801,a897)),f179(f907(x126801,a897))),x126802))),
% 199.34/199.32 inference(rename_variables,[],[3869])).
% 199.34/199.32 cnf(12683,plain,
% 199.34/199.32 (P1(f317(f317(f224(a901),x126831),x126831))),
% 199.34/199.32 inference(rename_variables,[],[3437])).
% 199.34/199.32 cnf(12686,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x126861,a897)),x126862),x126862))),
% 199.34/199.32 inference(rename_variables,[],[3725])).
% 199.34/199.32 cnf(12691,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x126911,a897)),x126912),f317(f317(f299(x126911),x126913),x126912)))),
% 199.34/199.32 inference(rename_variables,[],[3867])).
% 199.34/199.32 cnf(12694,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x126941,a897)),x126942),x126942))),
% 199.34/199.32 inference(rename_variables,[],[3725])).
% 199.34/199.32 cnf(12695,plain,
% 199.34/199.32 (~P1(f317(f317(f319(x126951),x126952),f179(f907(x126951,a897))))),
% 199.34/199.32 inference(rename_variables,[],[4621])).
% 199.34/199.32 cnf(12698,plain,
% 199.34/199.32 (~P1(f317(f317(f319(x126981),x126982),f179(f907(x126981,a897))))),
% 199.34/199.32 inference(rename_variables,[],[4621])).
% 199.34/199.32 cnf(12706,plain,
% 199.34/199.32 (~P1(f317(f317(f224(f907(f906(x127061,x127061),a897)),f317(f300(f906(x127061,x127061),f906(x127061,x127061),f7(f906(x127061,x127061))),f232(f907(f906(x127061,x127061),a897)))),f317(f300(f906(x127061,x127061),f906(x127061,x127061),f7(f906(x127061,x127061))),f179(f907(f906(x127061,x127061),a897)))))),
% 199.34/199.32 inference(scs_inference,[],[3414,3667,11321,12382,12487,12490,12582,12623,12627,12635,3677,3684,3407,4596,4597,3307,3310,3311,4595,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,12448,12614,3491,3636,12143,3357,4585,10637,10737,11201,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3098,3104,3115,3116,3117,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,12354,3368,12648,12652,3374,3383,3883,4176,3273,3630,3972,11653,3337,3269,3297,3746,3292,3279,3280,3896,3316,3492,11048,11175,12449,12667,3367,4052,4590,10468,10634,11506,12606,12649,4593,12618,3428,11985,4619,11227,11326,11562,11565,3539,4599,3331,3332,10535,10867,3590,3251,3353,11643,4190,12638,4055,11247,11378,11437,12593,12599,4640,11150,11391,11500,11526,11570,11576,12537,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3628,12493,12534,12617,3792,3578,4466,4467,3729,3938,3982,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,12423,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,12540,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3818,3621,4626,4183,11523,3751,3477,12008,12011,12456,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,12518,4109,11253,12379,12455,12517,12561,3793,11840,12170,12317,12387,4142,3810,10600,10697,11250,11331,11410,11474,12338,12401,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,12501,12565,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,3439,12426,3511,12371,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,12470,12568,12571,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,12397,12546,12590,12596,12695,3496,10864,10897,10906,10909,10912,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,3458,10900,11053,11123,11921,12072,12270,12475,3905,4616,3916,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,11599,4019,11596,11941,11945,12626,3867,11166,11172,11190,12192,12322,12400,3725,11306,11428,12432,12543,12553,12631,12686,3869,10903,11269,11434,11468,11479,12630,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,10769,12496,12505,4280,11039,12514,12529,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712,7738,7739,7771,7773,7774,7775,7781,7801,7818,7823,7829,7831,7839,7852,7853,7855,7877,7884,7907,7941,7977,7978,7979,8023,8029,8030,8049,8050,8067,8068,8069,8124,8125,8155,8187,8196,8211,8226,8256,8260,8266,8278,8296,8302,8323,8367,8396,8410,8430,8433,8456,8482,8538,8539,8542,8543,8610,8648,8649,8650,8651,8708,8738,8746,8747,8782,8802,8816,8848,8857,8908,8911,8928,8935,8978,9019,9020,9037,9038,9052,9163,9168,9172,9186,9197,9225,9227,9230,9236,9238,9239,9251,9252,9274,9282])).
% 199.34/199.32 cnf(12707,plain,
% 199.34/199.32 (P22(x127071,x127071,f7(x127071),x127072)),
% 199.34/199.32 inference(rename_variables,[],[3667])).
% 199.34/199.32 cnf(12710,plain,
% 199.34/199.32 (E(f317(f180(f902(x127101)),f159(x127101,x127102,x127103)),x127102)),
% 199.34/199.32 inference(rename_variables,[],[3502])).
% 199.34/199.32 cnf(12713,plain,
% 199.34/199.32 (P23(x127131,x127131,f25(x127131),x127132,x127132)),
% 199.34/199.32 inference(rename_variables,[],[4078])).
% 199.34/199.32 cnf(12716,plain,
% 199.34/199.32 (~P1(f317(f317(f225(a901),x127161),x127161))),
% 199.34/199.32 inference(rename_variables,[],[4610])).
% 199.34/199.32 cnf(12717,plain,
% 199.34/199.32 (P1(f317(f232(f907(x127171,a897)),x127172))),
% 199.34/199.32 inference(rename_variables,[],[3496])).
% 199.34/199.32 cnf(12720,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x127201,a897)),f179(f907(x127201,a897))),x127202))),
% 199.34/199.32 inference(rename_variables,[],[3869])).
% 199.34/199.32 cnf(12723,plain,
% 199.34/199.32 (~P1(f317(f317(f319(x127231),x127232),f179(f907(x127231,a897))))),
% 199.34/199.32 inference(rename_variables,[],[4621])).
% 199.34/199.32 cnf(12726,plain,
% 199.34/199.32 (P1(f317(f317(f319(x127261),f317(x127262,x127263)),f317(f300(x127264,x127261,x127262),f232(f907(x127264,a897)))))),
% 199.34/199.32 inference(rename_variables,[],[4019])).
% 199.34/199.32 cnf(12727,plain,
% 199.34/199.32 (P1(f317(f317(f319(f906(x127271,x127271)),f317(f317(f242(x127271,x127271),x127272),x127272)),f297(x127271,x127273)))),
% 199.34/199.32 inference(rename_variables,[],[4055])).
% 199.34/199.32 cnf(12730,plain,
% 199.34/199.32 (P1(f317(f317(f319(f906(x127301,x127301)),f317(f317(f242(x127301,x127301),x127302),x127302)),f297(x127301,x127303)))),
% 199.34/199.32 inference(rename_variables,[],[4055])).
% 199.34/199.32 cnf(12733,plain,
% 199.34/199.32 (P1(f317(f317(f224(a901),x127331),x127331))),
% 199.34/199.32 inference(rename_variables,[],[3437])).
% 199.34/199.32 cnf(12734,plain,
% 199.34/199.32 (P1(f317(f232(f907(x127341,a897)),x127342))),
% 199.34/199.32 inference(rename_variables,[],[3496])).
% 199.34/199.32 cnf(12737,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x127371,a897)),x127372),f232(f907(x127371,a897))))),
% 199.34/199.32 inference(rename_variables,[],[3810])).
% 199.34/199.32 cnf(12738,plain,
% 199.34/199.32 (P23(x127381,x127381,f25(x127381),x127382,x127382)),
% 199.34/199.32 inference(rename_variables,[],[4078])).
% 199.34/199.32 cnf(12741,plain,
% 199.34/199.32 (P1(f317(f28(x127411),f317(f162(x127411),x127412)))),
% 199.34/199.32 inference(rename_variables,[],[3477])).
% 199.34/199.32 cnf(12743,plain,
% 199.34/199.32 (E(f317(f317(f124(x127431),f662(x127432,x127433,f103(x127431),f317(f317(f141(x127431),x127433),x127432),x127431)),f103(x127431)),x127432)),
% 199.34/199.32 inference(scs_inference,[],[3414,4078,12713,3667,11321,12382,12487,12490,12582,12623,12627,12635,3677,3684,3407,4596,4597,3307,3310,3311,4595,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,12448,12614,3491,3636,12143,3357,4585,10637,10737,11201,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3098,3104,3115,3116,3117,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,12354,3368,12648,12652,12656,3374,3383,3883,4176,3502,3273,3630,3972,11653,3337,3269,3297,3746,3292,3279,3280,3896,3316,3492,11048,11175,12449,12667,3367,4052,4590,10468,10634,11506,12606,12649,4593,12618,3428,11985,4619,11227,11326,11562,11565,3539,4599,3331,3332,10535,10867,3590,3251,3353,11643,4190,12638,4055,11247,11378,11437,12593,12599,12727,4640,11150,11391,11500,11526,11570,11576,12537,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3628,12493,12534,12617,3792,3578,4466,4467,3729,3938,3982,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,12423,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,12540,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3818,3621,4626,4183,11523,3751,3477,12008,12011,12456,12562,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,12518,4109,11253,12379,12455,12517,12561,3793,11840,12170,12317,12387,4142,3810,10600,10697,11250,11331,11410,11474,12338,12401,12672,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,12501,12565,12683,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,3439,12426,3511,12371,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,12470,12568,12571,12676,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,12397,12546,12590,12596,12695,12698,3496,10864,10897,10906,10909,10912,11492,12717,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,3458,10900,11053,11123,11921,12072,12270,12475,3905,4616,3916,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,11599,4019,11596,11941,11945,12626,12634,3867,11166,11172,11190,12192,12322,12400,3725,11306,11428,12432,12543,12553,12631,12686,3869,10903,11269,11434,11468,11479,12630,12680,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,10769,12496,12505,4280,11039,12514,12529,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712,7738,7739,7771,7773,7774,7775,7781,7801,7818,7823,7829,7831,7839,7852,7853,7855,7877,7884,7907,7941,7977,7978,7979,8023,8029,8030,8049,8050,8067,8068,8069,8124,8125,8155,8187,8196,8211,8226,8256,8260,8266,8278,8296,8302,8323,8367,8396,8410,8430,8433,8456,8482,8538,8539,8542,8543,8610,8648,8649,8650,8651,8708,8738,8746,8747,8782,8802,8816,8848,8857,8908,8911,8928,8935,8978,9019,9020,9037,9038,9052,9163,9168,9172,9186,9197,9225,9227,9230,9236,9238,9239,9251,9252,9274,9282,9293,9301,9344,9346,9363,9425,9426,9428,9467,9495,9501])).
% 199.34/199.32 cnf(12748,plain,
% 199.34/199.32 (P1(f317(f317(f319(f906(x127481,x127481)),f317(f317(f242(x127481,x127481),x127482),x127482)),f317(f317(f278(x127481,x127481,x127481),f297(x127481,x127483)),f297(x127481,f297(x127481,x127483)))))),
% 199.34/199.32 inference(scs_inference,[],[3414,4078,12713,3667,11321,12382,12487,12490,12582,12623,12627,12635,3677,3684,3407,4596,4597,3307,3310,3311,4595,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,12448,12614,3491,3636,12143,3357,4585,10637,10737,11201,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3098,3104,3115,3116,3117,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,12354,3368,12648,12652,12656,3374,3383,3883,4176,3502,3273,3630,3972,11653,3337,3269,3297,3746,3292,3279,3280,3896,3316,3492,11048,11175,12449,12667,3367,4052,4590,10468,10634,11506,12606,12649,4593,12618,3428,11985,4619,11227,11326,11562,11565,3539,4599,3331,3332,10535,10867,3590,3251,3353,11643,4190,12638,4055,11247,11378,11437,12593,12599,12727,12730,4640,11150,11391,11500,11526,11570,11576,12537,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3628,12493,12534,12617,3792,3578,4466,4467,3729,3938,3982,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,12423,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,12540,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3818,3621,4626,4183,11523,3751,3477,12008,12011,12456,12562,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,12518,4109,11253,12379,12455,12517,12561,3793,11840,12170,12317,12387,4142,3810,10600,10697,11250,11331,11410,11474,12338,12401,12672,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,12501,12565,12683,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,3439,12426,3511,12371,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,12470,12568,12571,12676,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,12397,12546,12590,12596,12695,12698,3496,10864,10897,10906,10909,10912,11492,12717,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,3458,10900,11053,11123,11921,12072,12270,12475,3905,4616,3916,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,11599,4019,11596,11941,11945,12626,12634,3867,11166,11172,11190,12192,12322,12400,3725,11306,11428,12432,12543,12553,12631,12686,3869,10903,11269,11434,11468,11479,12630,12680,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,10769,12496,12505,4280,11039,12514,12529,4195,3904,3846,4630,10490,10493,10858,10861,11754,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467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% 199.34/199.32 cnf(12751,plain,
% 199.34/199.32 (~P1(f317(f317(f179(f907(x127511,f907(x127512,a897))),x127513),x127514))),
% 199.34/199.32 inference(rename_variables,[],[4634])).
% 199.34/199.32 cnf(12757,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x127571,a897)),x127572),f232(f907(x127571,a897))))),
% 199.34/199.32 inference(rename_variables,[],[3810])).
% 199.34/199.32 cnf(12760,plain,
% 199.34/199.32 (P1(f317(f317(f319(f906(x127601,x127601)),f317(f317(f242(x127601,x127601),x127602),x127602)),f297(x127601,x127603)))),
% 199.34/199.32 inference(rename_variables,[],[4055])).
% 199.34/199.32 cnf(12763,plain,
% 199.34/199.32 (~P1(f317(f317(f225(a901),f317(f317(f74(a901),x127631),x127632)),x127632))),
% 199.34/199.32 inference(rename_variables,[],[4630])).
% 199.34/199.32 cnf(12764,plain,
% 199.34/199.32 (P1(f317(f317(f225(a901),x127641),f317(a102,x127641)))),
% 199.34/199.32 inference(rename_variables,[],[3503])).
% 199.34/199.32 cnf(12767,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x127671,a897)),x127672),f232(f907(x127671,a897))))),
% 199.34/199.32 inference(rename_variables,[],[3810])).
% 199.34/199.32 cnf(12769,plain,
% 199.34/199.32 (P1(f317(f28(x127691),f876(x127692,x127693,x127691,f179(f907(x127694,a897)),x127694)))),
% 199.34/199.32 inference(scs_inference,[],[3414,4078,12713,3667,11321,12382,12487,12490,12582,12623,12627,12635,3677,3684,3407,4596,4597,3307,3310,3311,4595,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,12448,12614,3491,3636,12143,3357,4585,10637,10737,11201,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3098,3104,3115,3116,3117,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,12354,3368,12648,12652,12656,3374,3383,3883,4176,3502,3273,3630,3972,11653,3337,3269,3297,3746,3292,3279,3280,3896,3316,3492,11048,11175,12449,12667,3367,4052,4590,10468,10634,11506,12606,12649,4593,12618,3428,11985,4619,11227,11326,11562,11565,3539,4599,3331,3332,10535,10867,3590,3251,3353,11643,4190,12638,4055,11247,11378,11437,12593,12599,12727,12730,4640,11150,11391,11500,11526,11570,11576,12537,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3628,12493,12534,12617,3792,3578,4466,4467,3729,3938,3982,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,12423,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,12540,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3818,3621,4626,4183,11523,3751,3477,12008,12011,12456,12562,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,12518,4109,11253,12379,12455,12517,12561,3793,11840,12170,12317,12387,4142,3810,10600,10697,11250,11331,11410,11474,12338,12401,12672,12737,12757,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,12501,12565,12683,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,3439,12426,3511,12371,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,12470,12568,12571,12676,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,12397,12546,12590,12596,12695,12698,3496,10864,10897,10906,10909,10912,11492,12717,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,3458,10900,11053,11123,11921,12072,12270,12475,3905,4616,3916,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,11599,4019,11596,11941,11945,12626,12634,3867,11166,11172,11190,12192,12322,12400,3725,11306,11428,12432,12543,12553,12631,12686,3869,10903,11269,11434,11468,11479,12630,12680,12720,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,10769,12496,12505,12549,12751,4280,11039,12514,12529,4195,3904,3846,4630,10490,10493,10858,10861,11754,11946,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,834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% 199.34/199.32 cnf(12770,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x127701,a897)),f179(f907(x127701,a897))),x127702))),
% 199.34/199.32 inference(rename_variables,[],[3869])).
% 199.34/199.32 cnf(12773,plain,
% 199.34/199.32 (E(f317(f273(x127731,x127731),f253(x127731,x127732)),x127732)),
% 199.34/199.32 inference(rename_variables,[],[3397])).
% 199.34/199.32 cnf(12783,plain,
% 199.34/199.32 (~P1(f317(f317(f225(a901),x127831),f317(f180(f902(x127832)),f103(x127832))))),
% 199.34/199.32 inference(scs_inference,[],[3414,4078,12713,3667,11321,12382,12487,12490,12582,12623,12627,12635,3677,3684,3407,4596,4597,3307,3310,3311,4595,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,12448,12614,3491,3636,12143,3357,4585,10637,10737,11201,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3098,3104,3115,3116,3117,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3766,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,12354,12558,3368,12648,12652,12656,3374,3383,3883,4176,3502,3273,3630,3972,11653,3337,3269,3297,3746,3292,3279,3280,3896,3316,3492,11048,11175,12449,12667,3367,4052,4590,10468,10634,11506,12606,12649,4593,12618,3428,11985,4619,11227,11326,11562,11565,3539,4599,3331,3332,10535,10867,3590,3251,3353,11643,4190,12638,4055,11247,11378,11437,12593,12599,12727,12730,12760,4640,11150,11391,11500,11526,11570,11576,12537,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3628,12493,12534,12617,3792,3578,4466,4467,3729,3938,3982,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,12423,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,12540,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3818,3621,4626,4183,11523,3751,3477,12008,12011,12456,12562,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,12518,4109,11253,12379,12455,12517,12561,3793,11840,12170,12317,12387,4142,3810,10600,10697,11250,11331,11410,11474,12338,12401,12672,12737,12757,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,12501,12565,12683,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,3439,12426,3511,12371,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,12470,12568,12571,12676,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,12397,12546,12590,12596,12695,12698,12723,3496,10864,10897,10906,10909,10912,11492,12717,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,3458,10900,11053,11123,11921,12072,12270,12475,3905,4616,3916,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,11599,4019,11596,11941,11945,12626,12634,3867,11166,11172,11190,12192,12322,12400,3725,11306,11428,12432,12543,12553,12631,12686,4188,3869,10903,11269,11434,11468,11479,12630,12680,12720,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,10769,12496,12505,12549,12751,4280,11039,12514,12529,4195,3904,3846,4630,10490,10493,10858,10861,11754,11946,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712,7738,7739,7771,7773,7774,7775,7781,7801,7818,7823,7829,7831,7839,7852,7853,7855,7877,7884,7907,7941,7977,7978,7979,8023,8029,8030,8049,8050,8067,8068,8069,8124,8125,8155,8187,8196,8211,8226,8256,8260,8266,8278,8296,8302,8323,8367,8396,8410,8430,8433,8456,8482,8538,8539,8542,8543,8610,8648,8649,8650,8651,8708,8738,8746,8747,8782,8802,8816,8848,8857,8908,8911,8928,8935,8978,9019,9020,9037,9038,9052,9163,9168,9172,9186,9197,9225,9227,9230,9236,9238,9239,9251,9252,9274,9282,9293,9301,9344,9346,9363,9425,9426,9428,9467,9495,9501,9534,9548,9550,9551,9555,9556,9571,9592,9605,9608,9621,9622,9623,9625])).
% 199.34/199.32 cnf(12784,plain,
% 199.34/199.32 (~P1(f317(f317(f319(x127841),x127842),f179(f907(x127841,a897))))),
% 199.34/199.32 inference(rename_variables,[],[4621])).
% 199.34/199.32 cnf(12785,plain,
% 199.34/199.32 (P1(f317(f317(f319(f906(f902(x127851),f902(x127851))),f317(f317(f242(f902(x127851),f902(x127851)),f103(x127851)),f103(x127851))),f148(x127851,x127852)))),
% 199.34/199.32 inference(rename_variables,[],[4190])).
% 199.34/199.32 cnf(12787,plain,
% 199.34/199.32 (P1(f317(f317(f319(f906(a901,a901)),f317(f317(f242(a901,a901),f2(a901)),f317(a102,f2(a901)))),f317(f317(f278(a901,a901,a901),f297(a901,a307)),f297(a901,f297(a901,a307)))))),
% 199.34/199.32 inference(scs_inference,[],[3414,4078,12713,3667,11321,12382,12487,12490,12582,12623,12627,12635,3677,3684,3407,4596,4597,3307,3310,3311,4595,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,12448,12614,3491,3636,12143,3357,4585,10637,10737,11201,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3098,3104,3115,3116,3117,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3766,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,12354,12558,3368,12648,12652,12656,3374,3383,3883,4176,3502,3273,3630,3972,11653,3337,3269,3297,3746,3292,3279,3280,3896,3316,3492,11048,11175,12449,12667,3367,4052,4590,10468,10634,11506,12606,12649,4593,12618,3428,11985,4619,11227,11326,11562,11565,3539,4599,3331,3332,10535,10867,3590,3251,3353,11643,4190,12638,4055,11247,11378,11437,12593,12599,12727,12730,12760,4640,11150,11391,11500,11526,11570,11576,12537,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3628,12493,12534,12617,3792,3578,4466,4467,3729,3938,3982,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,12423,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,12540,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3818,3621,4626,4183,11523,3751,3477,12008,12011,12456,12562,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,12518,4109,11253,12379,12455,12517,12561,3793,11840,12170,12317,12387,4142,3810,10600,10697,11250,11331,11410,11474,12338,12401,12672,12737,12757,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,12501,12565,12683,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,3439,12426,3511,12371,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,12470,12568,12571,12676,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,12397,12546,12590,12596,12695,12698,12723,3496,10864,10897,10906,10909,10912,11492,12717,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,3458,10900,11053,11123,11921,12072,12270,12475,3905,4616,3916,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,4629,10763,10766,4639,11236,11239,11425,11536,11553,11599,4019,11596,11941,11945,12626,12634,3867,11166,11172,11190,12192,12322,12400,3725,11306,11428,12432,12543,12553,12631,12686,4188,3869,10903,11269,11434,11468,11479,12630,12680,12720,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,10769,12496,12505,12549,12751,4280,11039,12514,12529,4195,3904,3846,4630,10490,10493,10858,10861,11754,11946,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712,7738,7739,7771,7773,7774,7775,7781,7801,7818,7823,7829,7831,7839,7852,7853,7855,7877,7884,7907,7941,7977,7978,7979,8023,8029,8030,8049,8050,8067,8068,8069,8124,8125,8155,8187,8196,8211,8226,8256,8260,8266,8278,8296,8302,8323,8367,8396,8410,8430,8433,8456,8482,8538,8539,8542,8543,8610,8648,8649,8650,8651,8708,8738,8746,8747,8782,8802,8816,8848,8857,8908,8911,8928,8935,8978,9019,9020,9037,9038,9052,9163,9168,9172,9186,9197,9225,9227,9230,9236,9238,9239,9251,9252,9274,9282,9293,9301,9344,9346,9363,9425,9426,9428,9467,9495,9501,9534,9548,9550,9551,9555,9556,9571,9592,9605,9608,9621,9622,9623,9625,9664])).
% 199.34/199.32 cnf(12790,plain,
% 199.34/199.32 (~P1(f317(f317(f319(x127901),x127902),f179(f907(x127901,a897))))),
% 199.34/199.32 inference(rename_variables,[],[4621])).
% 199.34/199.32 cnf(12795,plain,
% 199.34/199.32 (P28(x127951,x127952,f103(x127951))),
% 199.34/199.32 inference(rename_variables,[],[3373])).
% 199.34/199.32 cnf(12798,plain,
% 199.34/199.32 (E(f317(f180(f902(x127981)),f159(x127981,x127982,x127983)),x127982)),
% 199.34/199.32 inference(rename_variables,[],[3502])).
% 199.34/199.32 cnf(12801,plain,
% 199.34/199.32 (~P1(f317(f317(f319(x128011),x128012),f179(f907(x128011,a897))))),
% 199.34/199.32 inference(rename_variables,[],[4621])).
% 199.34/199.32 cnf(12804,plain,
% 199.34/199.32 (~P1(f317(f317(f319(x128041),x128042),f179(f907(x128041,a897))))),
% 199.34/199.32 inference(rename_variables,[],[4621])).
% 199.34/199.32 cnf(12809,plain,
% 199.34/199.32 (~P1(f317(f317(f319(x128091),x128092),f179(f907(x128091,a897))))),
% 199.34/199.32 inference(rename_variables,[],[4621])).
% 199.34/199.32 cnf(12811,plain,
% 199.34/199.32 (~P1(f317(f317(f319(f906(f902(x128111),f902(x128111))),f317(f317(f242(f902(x128111),f902(x128111)),x128112),x128112)),f137(x128111,f143(x128111,f103(f907(x128111,a901))))))),
% 199.34/199.32 inference(scs_inference,[],[3414,4078,12713,3667,11321,12382,12487,12490,12582,12623,12627,12635,3677,3684,3407,3373,4596,4597,3307,3310,3311,4595,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,12448,12614,3491,3636,12143,3357,4585,10637,10737,11201,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3069,3072,3077,3081,3082,3086,3089,3098,3104,3115,3116,3117,3120,3123,3124,3139,3186,3195,3199,3206,3207,3209,3211,3219,3236,4577,3766,3985,11903,3283,11607,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,12354,12558,3368,12648,12652,12656,3374,3383,3883,4176,3502,12710,3273,3630,3972,11653,3337,3269,3297,3746,3292,3279,3280,3896,3316,3492,11048,11175,12449,12667,3367,4052,4590,10468,10634,11506,12606,12649,4593,12618,3428,11985,4619,11227,11326,11562,11565,3539,4599,3331,3332,10535,10867,3590,3251,3353,11643,4190,12638,12785,4055,11247,11378,11437,12593,12599,12727,12730,12760,4640,11150,11391,11500,11526,11570,11576,12537,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3628,12493,12534,12617,3792,3578,4466,4467,3729,3938,3982,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,12423,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,12540,4623,11757,11790,11829,11836,11869,3859,3638,4001,3465,3467,3440,4611,3296,4587,3818,3621,4626,4183,11523,3751,3477,12008,12011,12456,12562,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,12518,4109,11253,12379,12455,12517,12561,3793,11840,12170,12317,12387,4142,3810,10600,10697,11250,11331,11410,11474,12338,12401,12672,12737,12757,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,12501,12565,12683,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,3439,12426,3511,12371,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,12470,12568,12571,12676,12716,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,12397,12546,12590,12596,12695,12698,12723,12784,12790,12801,12804,3496,10864,10897,10906,10909,10912,11492,12717,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,3458,10900,11053,11123,11921,12072,12270,12475,3905,4616,3916,4615,3950,4602,4605,3413,3418,4604,4603,4638,3741,4327,11740,4629,10763,10766,4639,11236,11239,11425,11536,11553,11599,4019,11596,11941,11945,12626,12634,3867,11166,11172,11190,12192,12322,12400,3725,11306,11428,12432,12543,12553,12631,12686,4188,3869,10903,11269,11434,11468,11479,12630,12680,12720,3586,3693,10816,10819,10915,11079,4632,11886,4634,10656,10769,12496,12505,12549,12751,4280,11039,12514,12529,4195,3904,3846,4630,10490,10493,10858,10861,11754,11946,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,79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% 199.34/199.32 cnf(12813,plain,
% 199.34/199.32 (~P1(f317(f317(f225(a901),x128131),x128131))),
% 199.34/199.32 inference(rename_variables,[],[4610])).
% 199.34/199.32 cnf(12816,plain,
% 199.34/199.32 (P1(f317(f317(f319(x128161),x128162),f232(f907(x128161,a897))))),
% 199.34/199.32 inference(rename_variables,[],[3585])).
% 199.34/199.32 cnf(12820,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x128201,a897)),x128202),x128202))),
% 199.34/199.32 inference(rename_variables,[],[3725])).
% 199.34/199.32 cnf(12823,plain,
% 199.34/199.32 (~P1(f317(f317(f319(x128231),x128232),f179(f907(x128231,a897))))),
% 199.34/199.32 inference(rename_variables,[],[4621])).
% 199.34/199.32 cnf(12826,plain,
% 199.34/199.32 (P1(f317(f317(f224(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x128261)),x128262)))),
% 199.34/199.32 inference(rename_variables,[],[3904])).
% 199.34/199.32 cnf(12829,plain,
% 199.34/199.32 (~E(f317(a102,x128291),x128291)),
% 199.34/199.32 inference(rename_variables,[],[4579])).
% 199.34/199.32 cnf(12831,plain,
% 199.34/199.32 (E(f317(f273(x128311,x128311),f253(x128311,x128312)),x128312)),
% 199.34/199.32 inference(rename_variables,[],[3397])).
% 199.34/199.32 cnf(12833,plain,
% 199.34/199.32 (E(f317(f273(x128331,x128331),f253(x128331,x128332)),x128332)),
% 199.34/199.32 inference(rename_variables,[],[3397])).
% 199.34/199.32 cnf(12840,plain,
% 199.34/199.32 (E(f317(f273(x128401,x128401),f253(x128401,x128402)),x128402)),
% 199.34/199.32 inference(rename_variables,[],[3397])).
% 199.34/199.32 cnf(12845,plain,
% 199.34/199.32 (E(f317(f273(x128451,x128451),f253(x128451,x128452)),x128452)),
% 199.34/199.32 inference(rename_variables,[],[3397])).
% 199.34/199.32 cnf(12847,plain,
% 199.34/199.32 (P12(x128471,f907(x128471,a897),f299(x128471))),
% 199.34/199.32 inference(rename_variables,[],[3410])).
% 199.34/199.32 cnf(12851,plain,
% 199.34/199.32 (P22(x128511,x128511,f7(x128511),x128512)),
% 199.34/199.32 inference(rename_variables,[],[3667])).
% 199.34/199.32 cnf(12853,plain,
% 199.34/199.32 (P22(x128531,x128531,f7(x128531),x128532)),
% 199.34/199.32 inference(rename_variables,[],[3667])).
% 199.34/199.32 cnf(12866,plain,
% 199.34/199.32 (E(f317(f273(x128661,x128661),f253(x128661,x128662)),x128662)),
% 199.34/199.32 inference(rename_variables,[],[3397])).
% 199.34/199.32 cnf(12868,plain,
% 199.34/199.32 (E(f317(f273(x128681,x128681),f253(x128681,x128682)),x128682)),
% 199.34/199.32 inference(rename_variables,[],[3397])).
% 199.34/199.32 cnf(12870,plain,
% 199.34/199.32 (E(f317(f273(x128701,x128701),f253(x128701,x128702)),x128702)),
% 199.34/199.32 inference(rename_variables,[],[3397])).
% 199.34/199.32 cnf(12874,plain,
% 199.34/199.32 (E(f317(f273(x128741,x128741),f253(x128741,x128742)),x128742)),
% 199.34/199.32 inference(rename_variables,[],[3397])).
% 199.34/199.32 cnf(12880,plain,
% 199.34/199.32 (P35(x128801,f253(x128801,x128802))),
% 199.34/199.32 inference(rename_variables,[],[3308])).
% 199.34/199.32 cnf(12884,plain,
% 199.34/199.32 (P50(x128841,x128842,f253(x128841,x128842))),
% 199.34/199.32 inference(rename_variables,[],[3406])).
% 199.34/199.32 cnf(12886,plain,
% 199.34/199.32 (P50(x128861,x128862,f253(x128861,x128862))),
% 199.34/199.32 inference(rename_variables,[],[3406])).
% 199.34/199.32 cnf(12888,plain,
% 199.34/199.32 (P50(x128881,x128882,f253(x128881,x128882))),
% 199.34/199.32 inference(rename_variables,[],[3406])).
% 199.34/199.32 cnf(12890,plain,
% 199.34/199.32 (P49(x128901,f253(x128901,x128902))),
% 199.34/199.32 inference(rename_variables,[],[3311])).
% 199.34/199.32 cnf(12895,plain,
% 199.34/199.32 (P34(x128951,f143(x128951,x128952))),
% 199.34/199.32 inference(rename_variables,[],[3307])).
% 199.34/199.32 cnf(12901,plain,
% 199.34/199.32 (E(f179(f907(f906(x129011,x129011),a897)),f253(x129011,f179(f907(x129011,a897))))),
% 199.34/199.32 inference(rename_variables,[],[3506])).
% 199.34/199.32 cnf(12903,plain,
% 199.34/199.32 (E(f317(f273(x129031,x129031),f253(x129031,x129032)),x129032)),
% 199.34/199.32 inference(rename_variables,[],[3397])).
% 199.34/199.32 cnf(12914,plain,
% 199.34/199.32 (P29(x129141,x129142,f103(x129141),f103(x129141))),
% 199.34/199.32 inference(rename_variables,[],[3677])).
% 199.34/199.32 cnf(12916,plain,
% 199.34/199.32 (P29(x129161,x129162,f103(x129161),f103(x129161))),
% 199.34/199.32 inference(rename_variables,[],[3677])).
% 199.34/199.32 cnf(12920,plain,
% 199.34/199.32 (E(f317(f273(x129201,x129201),f253(x129201,x129202)),x129202)),
% 199.34/199.32 inference(rename_variables,[],[3397])).
% 199.34/199.32 cnf(12922,plain,
% 199.34/199.32 (P23(x129221,x129221,f25(x129221),x129222,x129222)),
% 199.34/199.32 inference(rename_variables,[],[4078])).
% 199.34/199.32 cnf(12924,plain,
% 199.34/199.32 (P23(x129241,x129241,f25(x129241),x129242,x129242)),
% 199.34/199.32 inference(rename_variables,[],[4078])).
% 199.34/199.32 cnf(12926,plain,
% 199.34/199.32 (P23(x129261,x129261,f25(x129261),x129262,x129262)),
% 199.34/199.32 inference(rename_variables,[],[4078])).
% 199.34/199.32 cnf(12928,plain,
% 199.34/199.32 (E(f317(f293(a901,f2(a901)),x129281),f317(f290(a901),x129281))),
% 199.34/199.32 inference(rename_variables,[],[3371])).
% 199.34/199.32 cnf(12936,plain,
% 199.34/199.32 (P52(x129361,x129361,f253(x129361,x129362))),
% 199.34/199.32 inference(rename_variables,[],[3407])).
% 199.34/199.32 cnf(12950,plain,
% 199.34/199.32 (E(f179(f907(f906(x129501,x129501),a897)),f253(x129501,f179(f907(x129501,a897))))),
% 199.34/199.32 inference(rename_variables,[],[3506])).
% 199.34/199.32 cnf(12952,plain,
% 199.34/199.32 (E(f179(f907(f906(x129521,x129521),a897)),f253(x129521,f179(f907(x129521,a897))))),
% 199.34/199.32 inference(rename_variables,[],[3506])).
% 199.34/199.32 cnf(12956,plain,
% 199.34/199.32 (P39(x129561,x129562,x129563,x129564,f179(f907(x129561,a897)),x129564)),
% 199.34/199.32 inference(rename_variables,[],[4347])).
% 199.34/199.32 cnf(12963,plain,
% 199.34/199.32 (P53(x129631,f179(f907(x129631,a897)),x129632)),
% 199.34/199.32 inference(rename_variables,[],[3456])).
% 199.34/199.32 cnf(12976,plain,
% 199.34/199.32 (~P1(f317(f317(f225(a901),x129761),f2(a901)))),
% 199.34/199.32 inference(rename_variables,[],[4614])).
% 199.34/199.32 cnf(12985,plain,
% 199.34/199.32 (~P1(f317(f317(f225(a1),f317(f90(a1),x129851)),f317(f73(a1),f317(f90(a1),x129852))))),
% 199.34/199.32 inference(rename_variables,[],[4628])).
% 199.34/199.32 cnf(12995,plain,
% 199.34/199.32 (~P1(f317(f317(f225(a901),x129951),f2(a901)))),
% 199.34/199.32 inference(rename_variables,[],[4614])).
% 199.34/199.32 cnf(12998,plain,
% 199.34/199.32 (~P1(f317(f317(f225(a901),x129981),f2(a901)))),
% 199.34/199.32 inference(rename_variables,[],[4614])).
% 199.34/199.32 cnf(13001,plain,
% 199.34/199.32 (P1(f317(f28(a901),f295(a901,x130011,x130012)))),
% 199.34/199.32 inference(rename_variables,[],[3639])).
% 199.34/199.32 cnf(13004,plain,
% 199.34/199.32 (P1(f317(f28(a901),f295(a901,x130041,x130042)))),
% 199.34/199.32 inference(rename_variables,[],[3639])).
% 199.34/199.32 cnf(13007,plain,
% 199.34/199.32 (P1(f317(f28(a901),f295(a901,x130071,x130072)))),
% 199.34/199.32 inference(rename_variables,[],[3639])).
% 199.34/199.32 cnf(13010,plain,
% 199.34/199.32 (P1(f317(f28(a901),f295(a901,x130101,x130102)))),
% 199.34/199.32 inference(rename_variables,[],[3639])).
% 199.34/199.32 cnf(13017,plain,
% 199.34/199.32 (P1(f317(f317(f224(a1),f317(f73(a1),f317(f90(a1),x130171))),f317(f90(a1),x130172)))),
% 199.34/199.32 inference(rename_variables,[],[3905])).
% 199.34/199.32 cnf(13019,plain,
% 199.34/199.32 (P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),f2(a1))))),
% 199.34/199.32 inference(scs_inference,[],[3414,4078,12713,12738,12922,12924,3667,11321,12382,12487,12490,12582,12623,12627,12635,12707,12851,3677,12452,12914,12916,3684,3406,12884,12886,12888,3407,12936,3373,12795,4596,4597,11965,4347,12956,3410,12847,3250,3307,12895,3308,12880,3309,3310,3311,12663,12890,4595,3727,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,12448,12614,12677,3491,3456,12963,3636,12143,3357,4585,10637,10737,11201,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3069,3072,3077,3078,3081,3082,3086,3089,3098,3104,3115,3116,3117,3120,3123,3124,3139,3186,3194,3195,3199,3206,3207,3209,3211,3219,4576,3236,3306,4577,3766,3985,11903,3283,11607,3419,3394,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,12354,12558,12773,12831,12833,12840,12845,12866,12868,12870,12874,12903,3368,12648,12652,12656,3374,3383,3883,4176,3502,12710,12798,3273,3630,3972,11653,3337,3269,3297,3746,3292,4088,3980,3808,3279,3280,3260,3896,3316,3492,11048,11175,12449,12667,3367,4052,4590,10468,10634,11506,12606,12649,12653,4593,12618,3428,11985,4009,4619,11227,11326,11562,11565,3827,3539,3752,4599,3506,12901,12950,12952,3331,3332,10535,10867,3590,3371,12928,3324,3251,3353,11643,4190,12638,12785,4055,11247,11378,11437,12593,12599,12727,12730,12760,4640,11150,11391,11500,11526,11570,11576,12537,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3628,12493,12534,12617,3792,3578,4466,4467,3649,3770,3729,3938,3982,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,12423,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,12540,12642,12976,12995,4623,11757,11790,11829,11836,11869,3859,3638,3639,13001,13004,13007,4001,3465,3467,3440,4611,3296,4587,3818,4115,3621,4626,4183,11523,3751,3477,12008,12011,12456,12562,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,12518,4109,11253,12379,12455,12517,12561,3793,11840,12170,12317,12387,4142,3810,10600,10697,11250,11331,11410,11474,12338,12401,12672,12737,12757,12767,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,12501,12565,12683,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,3439,12426,3511,12371,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,12470,12568,12571,12676,12716,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,12613,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,12397,12546,12590,12596,12695,12698,12723,12784,12790,12801,12804,12809,3496,10864,10897,10906,10909,10912,11492,12717,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,3458,10900,11053,11123,11921,12072,12270,12475,3905,12014,4616,3916,4615,3950,4602,4605,4606,3413,3418,4604,4603,4353,4638,3741,4327,11740,4629,10763,10766,4639,11236,11239,11425,11536,11553,11599,4019,11596,11941,11945,12626,12634,3867,11166,11172,11190,12192,12322,12400,3725,11306,11428,12432,12543,12553,12631,12686,12694,4188,3869,10903,11269,11434,11468,11479,12630,12680,12720,3586,3693,10816,10819,10915,11079,3692,4632,11886,4628,12985,4634,10656,10769,12496,12505,12549,12751,4280,11039,12514,12529,4195,3904,3846,3847,4630,10490,10493,10858,10861,11754,11946,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,64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% 199.34/199.32 cnf(13022,plain,
% 199.34/199.32 (~P1(f317(f317(f225(a901),x130221),f2(a901)))),
% 199.34/199.32 inference(rename_variables,[],[4614])).
% 199.34/199.32 cnf(13023,plain,
% 199.34/199.32 (P1(f317(f317(f224(a901),x130231),x130231))),
% 199.34/199.32 inference(rename_variables,[],[3437])).
% 199.34/199.32 cnf(13030,plain,
% 199.34/199.32 (P1(f317(f317(f225(a901),x130301),f317(a102,x130301)))),
% 199.34/199.32 inference(rename_variables,[],[3503])).
% 199.34/199.32 cnf(13035,plain,
% 199.34/199.32 (~E(f317(a102,x130351),f2(a901))),
% 199.34/199.32 inference(rename_variables,[],[4585])).
% 199.34/199.32 cnf(13037,plain,
% 199.34/199.32 (~P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),f2(a1))))),
% 199.34/199.32 inference(scs_inference,[],[3414,4078,12713,12738,12922,12924,3667,11321,12382,12487,12490,12582,12623,12627,12635,12707,12851,3677,12452,12914,12916,3684,3406,12884,12886,12888,3407,12936,3373,12795,4596,4597,11965,4347,12956,3410,12847,3250,3307,12895,3308,12880,3309,3310,3311,12663,12890,4595,3727,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,12448,12614,12677,3491,3456,12963,3636,12143,3357,4585,10637,10737,11201,11301,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3069,3072,3077,3078,3081,3082,3086,3089,3098,3104,3115,3116,3117,3120,3123,3124,3139,3186,3194,3195,3199,3206,3207,3209,3211,3219,4576,3236,3306,4577,3766,3985,11903,3283,11607,3419,3394,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,12354,12558,12773,12831,12833,12840,12845,12866,12868,12870,12874,12903,3368,12648,12652,12656,3374,3383,3883,4176,3502,12710,12798,3273,3630,3972,11653,3337,3269,3297,3746,3292,4088,3980,3808,3279,3280,3260,3896,3316,3492,11048,11175,12449,12667,3367,4052,4590,10468,10634,11506,12606,12649,12653,4593,12618,3428,11985,4009,4619,11227,11326,11562,11565,3827,3539,3752,4599,3506,12901,12950,12952,3331,3332,10535,10867,3590,3371,12928,3324,3251,3353,11643,4190,12638,12785,4055,11247,11378,11437,12593,12599,12727,12730,12760,4640,11150,11391,11500,11526,11570,11576,12537,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3628,12493,12534,12617,3792,3578,4466,4467,3649,3770,3729,3772,3938,3982,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,12423,12764,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,12540,12642,12976,12995,12998,4623,11757,11790,11829,11836,11869,3859,3638,3639,13001,13004,13007,4001,3465,3467,3440,4611,3330,3296,4587,3818,4115,3621,4626,4183,11523,3751,3477,12008,12011,12456,12562,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,12518,4109,11253,12379,12455,12517,12561,3793,11840,12170,12317,12387,4142,3810,10600,10697,11250,11331,11410,11474,12338,12401,12672,12737,12757,12767,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,12501,12565,12683,12733,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,3439,12426,3511,12371,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,12470,12568,12571,12676,12716,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,12613,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,12397,12546,12590,12596,12695,12698,12723,12784,12790,12801,12804,12809,3496,10864,10897,10906,10909,10912,11492,12717,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,3458,10900,11053,11123,11921,12072,12270,12475,3905,12014,3644,4616,3916,4615,3950,4602,4605,4606,3413,3418,4604,4603,4353,4638,3741,4327,11740,4629,10763,10766,4639,11236,11239,11425,11536,11553,11599,4019,11596,11941,11945,12626,12634,3867,11166,11172,11190,12192,12322,12400,3725,11306,11428,12432,12543,12553,12631,12686,12694,4188,3869,10903,11269,11434,11468,11479,12630,12680,12720,3586,3693,10816,10819,10915,11079,3692,4632,11886,4628,12985,4634,10656,10769,12496,12505,12549,12751,4280,11039,12514,12529,4195,3904,3846,3847,4630,10490,10493,10858,10861,11754,11946,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,642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% 199.34/199.32 cnf(13040,plain,
% 199.34/199.32 (P1(f317(f317(f224(a1),x130401),x130401))),
% 199.34/199.32 inference(rename_variables,[],[3438])).
% 199.34/199.32 cnf(13043,plain,
% 199.34/199.32 (P1(f317(f28(a901),f295(a901,x130431,x130432)))),
% 199.34/199.32 inference(rename_variables,[],[3639])).
% 199.34/199.32 cnf(13046,plain,
% 199.34/199.32 (P1(f317(f28(a901),f295(a901,x130461,x130462)))),
% 199.34/199.32 inference(rename_variables,[],[3639])).
% 199.34/199.32 cnf(13049,plain,
% 199.34/199.32 (P1(f317(f317(f224(a901),x130491),x130491))),
% 199.34/199.32 inference(rename_variables,[],[3437])).
% 199.34/199.32 cnf(13066,plain,
% 199.34/199.32 (P1(f317(f317(f224(a901),f40(a901,x130661,x130662)),x130661))),
% 199.34/199.32 inference(rename_variables,[],[3881])).
% 199.34/199.32 cnf(13071,plain,
% 199.34/199.32 (P1(f317(f317(f225(a901),x130711),f317(a102,x130711)))),
% 199.34/199.32 inference(rename_variables,[],[3503])).
% 199.34/199.32 cnf(13074,plain,
% 199.34/199.32 (P1(f317(f317(f225(a901),x130741),f317(a102,x130741)))),
% 199.34/199.32 inference(rename_variables,[],[3503])).
% 199.34/199.32 cnf(13075,plain,
% 199.34/199.32 (~P1(f317(f317(f225(a901),x130751),f2(a901)))),
% 199.34/199.32 inference(rename_variables,[],[4614])).
% 199.34/199.32 cnf(13084,plain,
% 199.34/199.32 (~P1(f317(f317(f225(a1),f317(f90(a1),x130841)),f2(a1)))),
% 199.34/199.32 inference(rename_variables,[],[4623])).
% 199.34/199.32 cnf(13085,plain,
% 199.34/199.32 (P1(f317(f232(f907(x130851,a897)),x130852))),
% 199.34/199.32 inference(rename_variables,[],[3496])).
% 199.34/199.32 cnf(13088,plain,
% 199.34/199.32 (~P1(f317(f317(f225(a1),f317(f90(a1),x130881)),f2(a1)))),
% 199.34/199.32 inference(rename_variables,[],[4623])).
% 199.34/199.32 cnf(13089,plain,
% 199.34/199.32 (P1(f317(f232(f907(x130891,a897)),x130892))),
% 199.34/199.32 inference(rename_variables,[],[3496])).
% 199.34/199.32 cnf(13092,plain,
% 199.34/199.32 (P1(f317(f232(f907(x130921,a897)),x130922))),
% 199.34/199.32 inference(rename_variables,[],[3496])).
% 199.34/199.32 cnf(13095,plain,
% 199.34/199.32 (P1(f317(f232(f907(x130951,a897)),x130952))),
% 199.34/199.32 inference(rename_variables,[],[3496])).
% 199.34/199.32 cnf(13103,plain,
% 199.34/199.32 (~P1(f317(f317(f319(x131031),x131032),f179(f907(x131031,a897))))),
% 199.34/199.32 inference(rename_variables,[],[4621])).
% 199.34/199.32 cnf(13104,plain,
% 199.34/199.32 (P1(f317(f28(x131041),f179(f907(x131041,a897))))),
% 199.34/199.32 inference(rename_variables,[],[3511])).
% 199.34/199.32 cnf(13107,plain,
% 199.34/199.32 (P1(f317(f317(f224(a901),x131071),x131071))),
% 199.34/199.32 inference(rename_variables,[],[3437])).
% 199.34/199.32 cnf(13109,plain,
% 199.34/199.32 (~P1(f317(f317(f224(a1),f317(f94(a1),a77)),f317(f94(a1),a87)))),
% 199.34/199.32 inference(scs_inference,[],[3414,4078,12713,12738,12922,12924,3667,11321,12382,12487,12490,12582,12623,12627,12635,12707,12851,3677,12452,12914,12916,3684,3406,12884,12886,12888,3407,12936,3373,12795,4596,4597,11965,4347,12956,3410,12847,3250,3307,12895,3308,12880,3309,3310,3311,12663,12890,4595,3727,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,12448,12614,12677,3491,3456,12963,3636,12143,3357,4585,10637,10737,11201,11301,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3069,3072,3077,3078,3081,3082,3086,3089,3098,3104,3105,3115,3116,3117,3120,3123,3124,3139,3186,3191,3194,3195,3199,3206,3207,3209,3211,3219,3229,4576,3236,3306,4577,3766,3985,11903,3283,11607,3419,3394,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,12354,12558,12773,12831,12833,12840,12845,12866,12868,12870,12874,12903,3368,12648,12652,12656,3374,3383,3883,4176,3502,12710,12798,3273,3630,3972,11653,3337,3269,3297,3746,3292,4088,3980,3808,3279,3280,3260,3896,3316,3492,11048,11175,12449,12667,3367,4052,4590,10468,10634,11506,12606,12649,12653,4593,12618,3428,11985,4009,4619,11227,11326,11562,11565,3827,3539,3752,4599,3506,12901,12950,12952,3331,3332,10535,10867,3590,3371,12928,3324,3251,3353,11643,4190,12638,12785,4055,11247,11378,11437,12593,12599,12727,12730,12760,4640,11150,11391,11500,11526,11570,11576,12537,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3628,12493,12534,12617,3792,3578,4466,4467,3649,3770,3729,3772,3938,3982,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,12423,12764,13030,13071,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,12540,12642,12976,12995,12998,13022,4623,11757,11790,11829,11836,11869,13084,3859,3638,3639,13001,13004,13007,13010,13043,4001,3465,3467,3440,4611,3330,3296,4587,3818,4115,3621,4626,4183,11523,3751,3477,12008,12011,12456,12562,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,12518,4109,11253,12379,12455,12517,12561,3793,11840,12170,12317,12387,12439,4142,3810,10600,10697,11250,11331,11410,11474,12338,12401,12672,12737,12757,12767,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,12501,12565,12683,12733,13023,13049,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,12265,3439,12426,3511,12371,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,12470,12568,12571,12676,12716,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,12613,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,12397,12546,12590,12596,12695,12698,12723,12784,12790,12801,12804,12809,12823,3496,10864,10897,10906,10909,10912,11492,12717,12734,13085,13089,13092,3535,3528,3942,3881,10514,11892,11920,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,3458,10900,11053,11123,11921,12072,12270,12475,3905,12014,3644,4616,3916,4615,3950,4602,4605,4606,3413,3418,4604,4603,4353,4638,3741,4327,11740,4629,10763,10766,4639,11236,11239,11425,11536,11553,11599,4019,11596,11941,11945,12626,12634,3867,11166,11172,11190,12192,12322,12400,3725,11306,11428,12432,12543,12553,12631,12686,12694,4188,3869,10903,11269,11434,11468,11479,12630,12680,12720,3586,3693,10816,10819,10915,11079,3692,4632,11886,4628,12985,4634,10656,10769,12496,12505,12549,12751,4280,11039,12514,12529,4195,3904,12826,3846,3847,4630,10490,10493,10858,10861,11754,11946,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712,7738,7739,7771,7773,7774,7775,7781,7801,7818,7823,7829,7831,7839,7852,7853,7855,7877,7884,7907,7941,7977,7978,7979,8023,8029,8030,8049,8050,8067,8068,8069,8124,8125,8155,8187,8196,8211,8226,8256,8260,8266,8278,8296,8302,8323,8367,8396,8410,8430,8433,8456,8482,8538,8539,8542,8543,8610,8648,8649,8650,8651,8708,8738,8746,8747,8782,8802,8816,8848,8857,8908,8911,8928,8935,8978,9019,9020,9037,9038,9052,9163,9168,9172,9186,9197,9225,9227,9230,9236,9238,9239,9251,9252,9274,9282,9293,9301,9344,9346,9363,9425,9426,9428,9467,9495,9501,9534,9548,9550,9551,9555,9556,9571,9592,9605,9608,9621,9622,9623,9625,9664,9797,9798,9845,9846,9890,9925,9934,10020,10035,10089,10243,10262,10370,3,2774,2775,2780,2783,2784,2785,2788,2789,2790,2791,2793,2800,2802,2803,2804,2805,2806,2809,2810,2819,2820,2821,2828,2832,2833,2839,2841,2842,2844,2845,2846,2847,2849,2850,2851,2852,2853,2855,2856,2857,2858,2859,2868,2870,2871,2872,2873,2874,2875,2895,2897,2898,2906,2916,2917,2918,2919,2920,2921,2922,2923,2947,2948,2949,2970,2971,2975,2983,2986,2987,2989,2990,2992,2994,2999,3002,3003,3004,3012,3013,5351,5393,5544,5545,5546,5627,5728,5758,5792,5808,5810,5816,5878,5879,5880,5881,5898,5933,6070,6107,6117,6141,6175,6213,6220,6365,6370,6410,6411,6431,6433,6435,6442,6443,6444,6445,6446,6447,6448,6449,6531,6604,6605,6692,6729,6730,6769,6770,6908,6920,6975,6995])).
% 199.34/199.32 cnf(13116,plain,
% 199.34/199.32 (P1(f317(f317(f224(a901),f2(a901)),x131161))),
% 199.34/199.32 inference(rename_variables,[],[3458])).
% 199.34/199.32 cnf(13119,plain,
% 199.34/199.32 (P1(f317(f317(f225(a901),x131191),f317(a102,x131191)))),
% 199.34/199.32 inference(rename_variables,[],[3503])).
% 199.34/199.32 cnf(13120,plain,
% 199.34/199.32 (~E(f317(a102,x131201),x131201)),
% 199.34/199.32 inference(rename_variables,[],[4579])).
% 199.34/199.32 cnf(13123,plain,
% 199.34/199.32 (~P1(f317(f317(f319(x131231),x131232),f179(f907(x131231,a897))))),
% 199.34/199.32 inference(rename_variables,[],[4621])).
% 199.34/199.32 cnf(13126,plain,
% 199.34/199.32 (~P1(f317(f317(f319(x131261),x131262),f179(f907(x131261,a897))))),
% 199.34/199.32 inference(rename_variables,[],[4621])).
% 199.34/199.32 cnf(13131,plain,
% 199.34/199.32 (P1(f317(f317(f224(a901),x131311),x131311))),
% 199.34/199.32 inference(rename_variables,[],[3437])).
% 199.34/199.32 cnf(13139,plain,
% 199.34/199.32 (P1(f317(f317(f225(a901),x131391),f317(a102,x131391)))),
% 199.34/199.32 inference(rename_variables,[],[3503])).
% 199.34/199.32 cnf(13142,plain,
% 199.34/199.32 (P1(f317(f317(f224(a901),x131421),x131421))),
% 199.34/199.32 inference(rename_variables,[],[3437])).
% 199.34/199.32 cnf(13147,plain,
% 199.34/199.32 (P1(f317(f317(f224(a901),x131471),x131471))),
% 199.34/199.32 inference(rename_variables,[],[3437])).
% 199.34/199.32 cnf(13150,plain,
% 199.34/199.32 (P1(f317(f317(f224(a901),x131501),x131501))),
% 199.34/199.32 inference(rename_variables,[],[3437])).
% 199.34/199.32 cnf(13153,plain,
% 199.34/199.32 (P1(f317(f317(f224(a901),x131531),x131531))),
% 199.34/199.32 inference(rename_variables,[],[3437])).
% 199.34/199.32 cnf(13156,plain,
% 199.34/199.32 (E(f317(f317(f3(f907(x131561,a897)),f179(f907(x131561,a897))),x131562),f179(f907(x131561,a897)))),
% 199.34/199.32 inference(rename_variables,[],[3696])).
% 199.34/199.32 cnf(13157,plain,
% 199.34/199.32 (P1(f317(f28(x131571),f179(f907(x131571,a897))))),
% 199.34/199.32 inference(rename_variables,[],[3511])).
% 199.34/199.32 cnf(13160,plain,
% 199.34/199.32 (E(f317(f317(f3(f907(x131601,a897)),f179(f907(x131601,a897))),x131602),f179(f907(x131601,a897)))),
% 199.34/199.32 inference(rename_variables,[],[3696])).
% 199.34/199.32 cnf(13161,plain,
% 199.34/199.32 (P1(f317(f28(x131611),f179(f907(x131611,a897))))),
% 199.34/199.32 inference(rename_variables,[],[3511])).
% 199.34/199.32 cnf(13164,plain,
% 199.34/199.32 (E(f317(f317(f3(f907(x131641,a897)),f179(f907(x131641,a897))),x131642),f179(f907(x131641,a897)))),
% 199.34/199.32 inference(rename_variables,[],[3696])).
% 199.34/199.32 cnf(13165,plain,
% 199.34/199.32 (P1(f317(f28(x131651),f179(f907(x131651,a897))))),
% 199.34/199.32 inference(rename_variables,[],[3511])).
% 199.34/199.32 cnf(13168,plain,
% 199.34/199.32 (E(f317(f317(f3(f907(x131681,a897)),f179(f907(x131681,a897))),x131682),f179(f907(x131681,a897)))),
% 199.34/199.32 inference(rename_variables,[],[3696])).
% 199.34/199.32 cnf(13169,plain,
% 199.34/199.32 (P1(f317(f28(x131691),f179(f907(x131691,a897))))),
% 199.34/199.32 inference(rename_variables,[],[3511])).
% 199.34/199.32 cnf(13173,plain,
% 199.34/199.32 (E(f317(f273(x131731,x131731),f253(x131731,x131732)),x131732)),
% 199.34/199.32 inference(rename_variables,[],[3397])).
% 199.34/199.32 cnf(13178,plain,
% 199.34/199.32 (E(f317(f317(f3(f907(x131781,a897)),f179(f907(x131781,a897))),x131782),f179(f907(x131781,a897)))),
% 199.34/199.32 inference(rename_variables,[],[3696])).
% 199.34/199.32 cnf(13179,plain,
% 199.34/199.32 (P1(f317(f28(x131791),f179(f907(x131791,a897))))),
% 199.34/199.32 inference(rename_variables,[],[3511])).
% 199.34/199.32 cnf(13183,plain,
% 199.34/199.32 (P1(f317(f28(x131831),f179(f907(x131831,a897))))),
% 199.34/199.32 inference(rename_variables,[],[3511])).
% 199.34/199.32 cnf(13186,plain,
% 199.34/199.32 (P1(f317(f317(f224(a901),x131861),x131861))),
% 199.34/199.32 inference(rename_variables,[],[3437])).
% 199.34/199.32 cnf(13190,plain,
% 199.34/199.32 (P1(f317(f317(f224(a1),x131901),x131901))),
% 199.34/199.32 inference(rename_variables,[],[3438])).
% 199.34/199.32 cnf(13197,plain,
% 199.34/199.32 (P1(f317(f317(f224(a901),x131971),x131971))),
% 199.34/199.32 inference(rename_variables,[],[3437])).
% 199.34/199.32 cnf(13210,plain,
% 199.34/199.32 (P1(f317(f317(f224(a901),x132101),x132101))),
% 199.34/199.32 inference(rename_variables,[],[3437])).
% 199.34/199.32 cnf(13213,plain,
% 199.34/199.32 (P1(f317(f317(f224(a1),x132131),x132131))),
% 199.34/199.32 inference(rename_variables,[],[3438])).
% 199.34/199.32 cnf(13224,plain,
% 199.34/199.32 (~P1(f317(f317(f319(x132241),x132242),f179(f907(x132241,a897))))),
% 199.34/199.32 inference(rename_variables,[],[4621])).
% 199.34/199.32 cnf(13226,plain,
% 199.34/199.32 (~P1(f317(f317(f224(a901),f317(f317(f74(a901),f317(a102,x132261)),x132262)),x132262))),
% 199.34/199.32 inference(scs_inference,[],[3414,4078,12713,12738,12922,12924,3667,11321,12382,12487,12490,12582,12623,12627,12635,12707,12851,3677,12452,12914,12916,3684,3406,12884,12886,12888,3407,12936,3373,12795,4596,4597,11965,4347,12956,3410,12847,3250,3307,12895,3308,12880,3309,3310,3311,12663,12890,4595,3727,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,12448,12614,12677,12829,3491,3456,12963,3636,12143,3357,4585,10637,10737,11201,11301,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3068,3069,3072,3077,3078,3081,3082,3086,3089,3098,3104,3105,3115,3116,3117,3120,3123,3124,3129,3139,3162,3166,3167,3168,3180,3186,3191,3194,3195,3199,3200,3206,3207,3209,3210,3211,3219,3229,4576,3236,3306,4577,3766,3985,11903,3283,11607,3419,3394,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,12354,12558,12773,12831,12833,12840,12845,12866,12868,12870,12874,12903,12920,3368,12648,12652,12656,3374,3383,3883,4176,3502,12710,12798,3273,3630,3972,11653,3337,3269,3297,3746,3292,4088,3980,3808,3279,3280,3260,3896,3316,3492,11048,11175,12449,12667,3367,4052,4590,10468,10634,11506,12606,12649,12653,4593,12618,3428,11985,4009,4619,11227,11326,11562,11565,3827,3539,3752,4599,3506,12901,12950,12952,3331,3332,10535,10867,3590,3371,12928,3324,3251,3353,11643,4190,12638,12785,4055,11247,11378,11437,12593,12599,12727,12730,12760,4640,11150,11391,11500,11526,11570,11576,12537,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3628,12493,12534,12617,3792,3578,4466,4467,3649,3770,3729,3772,3938,3696,13156,13160,13164,13168,13178,3982,12484,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,12423,12764,13030,13071,13074,13119,13139,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,12540,12642,12976,12995,12998,13022,4623,11757,11790,11829,11836,11869,13084,13088,3859,3638,3639,13001,13004,13007,13010,13043,4001,3465,3467,3440,4611,3330,3296,4587,3818,4115,3621,4626,4183,11523,3751,3477,12008,12011,12456,12562,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,12518,4109,11253,12379,12455,12517,12561,3793,11840,12170,12317,12387,12439,4142,3810,10600,10697,11250,11331,11410,11474,12338,12401,12672,12737,12757,12767,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,12501,12565,12683,12733,13023,13049,13107,13131,13142,13147,13150,13153,13186,13197,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,12265,13040,13190,3439,12426,12429,3511,12371,13104,13157,13161,13165,13169,13179,13183,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,12470,12568,12571,12676,12716,12813,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,12613,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,12397,12546,12590,12596,12695,12698,12723,12784,12790,12801,12804,12809,12823,13103,13123,13126,3496,10864,10897,10906,10909,10912,11492,12717,12734,13085,13089,13092,3535,3528,3942,3881,10514,11892,11920,13066,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,3458,10900,11053,11123,11921,12072,12270,12475,12502,3905,12014,13017,3644,4616,3916,4615,3950,4602,4605,4606,3413,3418,4604,4603,4353,4638,3741,4327,11740,4629,10763,10766,4639,11236,11239,11425,11536,11553,11599,4019,11596,11941,11945,12626,12634,3867,11166,11172,11190,12192,12322,12400,3725,11306,11428,12432,12543,12553,12631,12686,12694,4188,3869,10903,11269,11434,11468,11479,12630,12680,12720,3586,3693,10816,10819,10915,11079,3692,4632,11886,4628,12985,4634,10656,10769,12496,12505,12549,12751,4280,11039,12514,12529,4195,3904,12826,3846,3847,4630,10490,10493,10858,10861,11754,11946,12763,4631,11866,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712,7738,7739,7771,7773,7774,7775,7781,7801,7818,7823,7829,7831,7839,7852,7853,7855,7877,7884,7907,7941,7977,7978,7979,8023,8029,8030,8049,8050,8067,8068,8069,8124,8125,8155,8187,8196,8211,8226,8256,8260,8266,8278,8296,8302,8323,8367,8396,8410,8430,8433,8456,8482,8538,8539,8542,8543,8610,8648,8649,8650,8651,8708,8738,8746,8747,8782,8802,8816,8848,8857,8908,8911,8928,8935,8978,9019,9020,9037,9038,9052,9163,9168,9172,9186,9197,9225,9227,9230,9236,9238,9239,9251,9252,9274,9282,9293,9301,9344,9346,9363,9425,9426,9428,9467,9495,9501,9534,9548,9550,9551,9555,9556,9571,9592,9605,9608,9621,9622,9623,9625,9664,9797,9798,9845,9846,9890,9925,9934,10020,10035,10089,10243,10262,10370,3,2774,2775,2780,2783,2784,2785,2788,2789,2790,2791,2793,2800,2802,2803,2804,2805,2806,2809,2810,2819,2820,2821,2828,2832,2833,2839,2841,2842,2844,2845,2846,2847,2849,2850,2851,2852,2853,2855,2856,2857,2858,2859,2868,2870,2871,2872,2873,2874,2875,2895,2897,2898,2906,2916,2917,2918,2919,2920,2921,2922,2923,2947,2948,2949,2970,2971,2975,2983,2986,2987,2989,2990,2992,2994,2999,3002,3003,3004,3012,3013,5351,5393,5544,5545,5546,5627,5728,5758,5792,5808,5810,5816,5878,5879,5880,5881,5898,5933,6070,6107,6117,6141,6175,6213,6220,6365,6370,6410,6411,6431,6433,6435,6442,6443,6444,6445,6446,6447,6448,6449,6531,6604,6605,6692,6729,6730,6769,6770,6908,6920,6975,6995,6996,7002,7024,7049,7057,7059,7064,7108,7128,7129,7147,7148,7184,7229,7230,7327,7392,7393,7394,7395,7412,7440,7492,7493,7501,7506,7507,7518,7548,7549,7550,7551,7693,7694,7696,7698,7704,7705,7779,7913,7916,7922])).
% 199.34/199.32 cnf(13237,plain,
% 199.34/199.32 (P1(f317(f317(f319(x132371),x132372),f232(f907(x132371,a897))))),
% 199.34/199.32 inference(rename_variables,[],[3585])).
% 199.34/199.32 cnf(13238,plain,
% 199.34/199.32 (E(f317(f183(x132381,x132382),x132383),f111(x132381,x132382))),
% 199.34/199.32 inference(rename_variables,[],[3351])).
% 199.34/199.32 cnf(13240,plain,
% 199.34/199.32 (~P22(x132401,x132402,f183(x132403,x132404),f317(f300(x132405,x132401,f317(f141(x132406),x132407)),f232(f907(x132405,a897))))),
% 199.34/199.32 inference(scs_inference,[],[3414,4078,12713,12738,12922,12924,3667,11321,12382,12487,12490,12582,12623,12627,12635,12707,12851,3677,12452,12914,12916,3684,3406,12884,12886,12888,3407,12936,3373,12795,4596,4597,11965,4347,12956,3410,12847,3250,3307,12895,3308,12880,3309,3310,3311,12663,12890,4595,3727,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,12448,12614,12677,12829,3491,3456,12963,3636,12143,3357,4585,10637,10737,11201,11301,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3068,3069,3072,3077,3078,3081,3082,3086,3089,3098,3104,3105,3115,3116,3117,3120,3123,3124,3129,3139,3162,3166,3167,3168,3180,3186,3191,3194,3195,3199,3200,3206,3207,3209,3210,3211,3219,3229,4576,3236,3306,4577,3766,3985,11903,3283,11607,3419,3394,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,12354,12558,12773,12831,12833,12840,12845,12866,12868,12870,12874,12903,12920,3368,12648,12652,12656,3374,3383,3883,4176,3351,13238,3502,12710,12798,3273,3630,3972,11653,3337,3269,3297,3746,3292,4088,3980,3808,3279,3280,3260,3896,3316,3492,11048,11175,12449,12667,3367,4052,4590,10468,10634,11506,12606,12649,12653,4593,12618,3428,11985,4009,4619,11227,11326,11562,11565,3827,3539,3752,4599,3506,12901,12950,12952,3331,3332,10535,10867,3590,3371,12928,3324,3251,3353,11643,4190,12638,12785,4055,11247,11378,11437,12593,12599,12727,12730,12760,4640,11150,11391,11500,11526,11570,11576,12537,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3628,12493,12534,12617,3792,3578,4466,4467,3649,3770,3729,3772,3938,3696,13156,13160,13164,13168,13178,3982,12484,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,12423,12764,13030,13071,13074,13119,13139,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,12540,12642,12976,12995,12998,13022,4623,11757,11790,11829,11836,11869,13084,13088,3859,3638,3639,13001,13004,13007,13010,13043,4001,3465,3467,3440,4611,3330,3296,4587,3818,4115,3621,4626,4183,11523,3751,3477,12008,12011,12456,12562,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,12518,4109,11253,12379,12455,12517,12561,3793,11840,12170,12317,12387,12439,4142,3810,10600,10697,11250,11331,11410,11474,12338,12401,12672,12737,12757,12767,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,12501,12565,12683,12733,13023,13049,13107,13131,13142,13147,13150,13153,13186,13197,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,12265,13040,13190,3439,12426,12429,3511,12371,13104,13157,13161,13165,13169,13179,13183,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,12470,12568,12571,12676,12716,12813,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,12613,12816,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,12397,12546,12590,12596,12695,12698,12723,12784,12790,12801,12804,12809,12823,13103,13123,13126,3496,10864,10897,10906,10909,10912,11492,12717,12734,13085,13089,13092,3535,3528,3942,3881,10514,11892,11920,13066,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,3458,10900,11053,11123,11921,12072,12270,12475,12502,3905,12014,13017,3644,4616,3916,4615,3950,4602,4605,4606,3413,3418,4604,4603,4353,4638,3741,4327,11740,4629,10763,10766,4639,11236,11239,11425,11536,11553,11599,4019,11596,11941,11945,12626,12634,12726,3867,11166,11172,11190,12192,12322,12400,3725,11306,11428,12432,12543,12553,12631,12686,12694,4188,3869,10903,11269,11434,11468,11479,12630,12680,12720,3586,3693,10816,10819,10915,11079,3692,4632,11886,4628,12985,4634,10656,10769,12496,12505,12549,12751,4280,11039,12514,12529,4195,3904,12826,3846,3847,4630,10490,10493,10858,10861,11754,11946,12763,4631,11866,11951,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712,7738,7739,7771,7773,7774,7775,7781,7801,7818,7823,7829,7831,7839,7852,7853,7855,7877,7884,7907,7941,7977,7978,7979,8023,8029,8030,8049,8050,8067,8068,8069,8124,8125,8155,8187,8196,8211,8226,8256,8260,8266,8278,8296,8302,8323,8367,8396,8410,8430,8433,8456,8482,8538,8539,8542,8543,8610,8648,8649,8650,8651,8708,8738,8746,8747,8782,8802,8816,8848,8857,8908,8911,8928,8935,8978,9019,9020,9037,9038,9052,9163,9168,9172,9186,9197,9225,9227,9230,9236,9238,9239,9251,9252,9274,9282,9293,9301,9344,9346,9363,9425,9426,9428,9467,9495,9501,9534,9548,9550,9551,9555,9556,9571,9592,9605,9608,9621,9622,9623,9625,9664,9797,9798,9845,9846,9890,9925,9934,10020,10035,10089,10243,10262,10370,3,2774,2775,2780,2783,2784,2785,2788,2789,2790,2791,2793,2800,2802,2803,2804,2805,2806,2809,2810,2819,2820,2821,2828,2832,2833,2839,2841,2842,2844,2845,2846,2847,2849,2850,2851,2852,2853,2855,2856,2857,2858,2859,2868,2870,2871,2872,2873,2874,2875,2895,2897,2898,2906,2916,2917,2918,2919,2920,2921,2922,2923,2947,2948,2949,2970,2971,2975,2983,2986,2987,2989,2990,2992,2994,2999,3002,3003,3004,3012,3013,5351,5393,5544,5545,5546,5627,5728,5758,5792,5808,5810,5816,5878,5879,5880,5881,5898,5933,6070,6107,6117,6141,6175,6213,6220,6365,6370,6410,6411,6431,6433,6435,6442,6443,6444,6445,6446,6447,6448,6449,6531,6604,6605,6692,6729,6730,6769,6770,6908,6920,6975,6995,6996,7002,7024,7049,7057,7059,7064,7108,7128,7129,7147,7148,7184,7229,7230,7327,7392,7393,7394,7395,7412,7440,7492,7493,7501,7506,7507,7518,7548,7549,7550,7551,7693,7694,7696,7698,7704,7705,7779,7913,7916,7922,7923,7932,7936,7974,7975])).
% 199.34/199.32 cnf(13241,plain,
% 199.34/199.32 (P1(f317(f317(f319(x132411),f317(x132412,x132413)),f317(f300(x132414,x132411,x132412),f232(f907(x132414,a897)))))),
% 199.34/199.32 inference(rename_variables,[],[4019])).
% 199.34/199.32 cnf(13245,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x132451,a897)),x132452),f232(f907(x132451,a897))))),
% 199.34/199.32 inference(rename_variables,[],[3810])).
% 199.34/199.32 cnf(13248,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(x132481,a897)),x132482),x132482))),
% 199.34/199.32 inference(rename_variables,[],[3725])).
% 199.34/199.32 cnf(13254,plain,
% 199.34/199.32 (~P1(f317(f317(f225(a901),x132541),f2(a901)))),
% 199.34/199.32 inference(rename_variables,[],[4614])).
% 199.34/199.32 cnf(13255,plain,
% 199.34/199.32 (P1(f317(f317(f224(a1),x132551),x132551))),
% 199.34/199.32 inference(rename_variables,[],[3438])).
% 199.34/199.32 cnf(13259,plain,
% 199.34/199.32 (~P1(f317(f317(f225(a901),x132591),f2(a901)))),
% 199.34/199.32 inference(rename_variables,[],[4614])).
% 199.34/199.32 cnf(13260,plain,
% 199.34/199.32 (P1(f317(f317(f224(a1),x132601),x132601))),
% 199.34/199.32 inference(rename_variables,[],[3438])).
% 199.34/199.32 cnf(13262,plain,
% 199.34/199.32 (P1(f317(f317(f224(f907(a1,a897)),f294(a1,f72(a1),f2(a1))),f294(a1,f2(a1),f72(a1))))),
% 199.34/199.33 inference(scs_inference,[],[3414,4078,12713,12738,12922,12924,3667,11321,12382,12487,12490,12582,12623,12627,12635,12707,12851,3677,12452,12914,12916,3684,3406,12884,12886,12888,3407,12936,3373,12795,4596,4597,11965,4347,12956,3410,12847,3250,3307,12895,3308,12880,3309,3310,3311,12663,12890,4595,3727,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,12448,12614,12677,12829,3491,3456,12963,3636,12143,3357,4585,10637,10737,11201,11301,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3068,3069,3072,3077,3078,3081,3082,3086,3089,3098,3104,3105,3115,3116,3117,3120,3123,3124,3129,3139,3162,3166,3167,3168,3180,3186,3191,3194,3195,3199,3200,3206,3207,3209,3210,3211,3219,3229,4576,3236,3306,4577,3766,3985,11903,3283,11607,3419,3394,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,12354,12558,12773,12831,12833,12840,12845,12866,12868,12870,12874,12903,12920,3368,12648,12652,12656,3374,3383,3883,4176,3351,13238,3502,12710,12798,3273,3630,3972,11653,3337,3269,3297,3746,3292,4088,3980,3808,3279,3280,3260,3896,3316,3492,11048,11175,12449,12667,3367,4052,4590,10468,10634,11506,12606,12649,12653,4593,12618,3428,11985,4009,4619,11227,11326,11562,11565,3827,3539,3752,4599,3506,12901,12950,12952,3331,3332,10535,10867,3590,3371,12928,3324,3251,3353,11643,4190,12638,12785,4055,11247,11378,11437,12593,12599,12727,12730,12760,4640,11150,11391,11500,11526,11570,11576,12537,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3628,12493,12534,12617,3792,3578,4466,4467,3649,3770,3729,3772,3938,3696,13156,13160,13164,13168,13178,3982,12484,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,12423,12764,13030,13071,13074,13119,13139,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,12540,12642,12976,12995,12998,13022,13075,13254,4623,11757,11790,11829,11836,11869,13084,13088,3859,3638,3639,13001,13004,13007,13010,13043,4001,3465,3467,3440,4611,3330,3296,4587,3818,4115,3621,4626,4183,11523,3751,3477,12008,12011,12456,12562,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,12518,4109,11253,12379,12455,12517,12561,3793,11840,12170,12317,12387,12439,4142,3810,10600,10697,11250,11331,11410,11474,12338,12401,12672,12737,12757,12767,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,12501,12565,12683,12733,13023,13049,13107,13131,13142,13147,13150,13153,13186,13197,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,12265,13040,13190,13213,13255,3439,12426,12429,3511,12371,13104,13157,13161,13165,13169,13179,13183,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,12470,12568,12571,12676,12716,12813,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,12613,12816,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,12397,12546,12590,12596,12695,12698,12723,12784,12790,12801,12804,12809,12823,13103,13123,13126,3496,10864,10897,10906,10909,10912,11492,12717,12734,13085,13089,13092,3535,3528,3942,3881,10514,11892,11920,13066,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,3458,10900,11053,11123,11921,12072,12270,12475,12502,3905,12014,13017,3644,4616,3916,4615,3950,4602,4605,4606,3413,3418,4604,4603,4353,4638,3741,4327,11740,4629,10763,10766,4639,11236,11239,11425,11536,11553,11599,4019,11596,11941,11945,12626,12634,12726,3867,11166,11172,11190,12192,12322,12400,3725,11306,11428,12432,12543,12553,12631,12686,12694,12820,4188,3869,10903,11269,11434,11468,11479,12630,12680,12720,3586,3693,10816,10819,10915,11079,3692,4632,11886,4628,12985,4634,10656,10769,12496,12505,12549,12751,4280,11039,12514,12529,4195,3904,12826,3846,3847,4630,10490,10493,10858,10861,11754,11946,12763,4631,11866,11951,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712,7738,7739,7771,7773,7774,7775,7781,7801,7818,7823,7829,7831,7839,7852,7853,7855,7877,7884,7907,7941,7977,7978,7979,8023,8029,8030,8049,8050,8067,8068,8069,8124,8125,8155,8187,8196,8211,8226,8256,8260,8266,8278,8296,8302,8323,8367,8396,8410,8430,8433,8456,8482,8538,8539,8542,8543,8610,8648,8649,8650,8651,8708,8738,8746,8747,8782,8802,8816,8848,8857,8908,8911,8928,8935,8978,9019,9020,9037,9038,9052,9163,9168,9172,9186,9197,9225,9227,9230,9236,9238,9239,9251,9252,9274,9282,9293,9301,9344,9346,9363,9425,9426,9428,9467,9495,9501,9534,9548,9550,9551,9555,9556,9571,9592,9605,9608,9621,9622,9623,9625,9664,9797,9798,9845,9846,9890,9925,9934,10020,10035,10089,10243,10262,10370,3,2774,2775,2780,2783,2784,2785,2788,2789,2790,2791,2793,2800,2802,2803,2804,2805,2806,2809,2810,2819,2820,2821,2828,2832,2833,2839,2841,2842,2844,2845,2846,2847,2849,2850,2851,2852,2853,2855,2856,2857,2858,2859,2868,2870,2871,2872,2873,2874,2875,2895,2897,2898,2906,2916,2917,2918,2919,2920,2921,2922,2923,2947,2948,2949,2970,2971,2975,2983,2986,2987,2989,2990,2992,2994,2999,3002,3003,3004,3012,3013,5351,5393,5544,5545,5546,5627,5728,5758,5792,5808,5810,5816,5878,5879,5880,5881,5898,5933,6070,6107,6117,6141,6175,6213,6220,6365,6370,6410,6411,6431,6433,6435,6442,6443,6444,6445,6446,6447,6448,6449,6531,6604,6605,6692,6729,6730,6769,6770,6908,6920,6975,6995,6996,7002,7024,7049,7057,7059,7064,7108,7128,7129,7147,7148,7184,7229,7230,7327,7392,7393,7394,7395,7412,7440,7492,7493,7501,7506,7507,7518,7548,7549,7550,7551,7693,7694,7696,7698,7704,7705,7779,7913,7916,7922,7923,7932,7936,7974,7975,8045,8083,8137,8160,8161,8242])).
% 199.34/199.33 cnf(13265,plain,
% 199.34/199.33 (P1(f317(f317(f224(a901),x132651),x132651))),
% 199.34/199.33 inference(rename_variables,[],[3437])).
% 199.34/199.33 cnf(13272,plain,
% 199.34/199.33 (E(f317(f317(f18(x132721,x132722),x132723),x132724),x132723)),
% 199.34/199.33 inference(rename_variables,[],[3428])).
% 199.34/199.33 cnf(13277,plain,
% 199.34/199.33 (P1(f317(f317(f224(f907(x132771,a897)),f317(f162(x132771),f166(x132771,x132772,x132773))),f317(f162(x132771),x132772)))),
% 199.34/199.33 inference(rename_variables,[],[4109])).
% 199.34/199.33 cnf(13284,plain,
% 199.34/199.33 (~P1(f317(f317(f225(a901),x132841),f2(a901)))),
% 199.34/199.33 inference(rename_variables,[],[4614])).
% 199.34/199.33 cnf(13285,plain,
% 199.34/199.33 (P1(f317(f317(f224(a1),x132851),x132851))),
% 199.34/199.33 inference(rename_variables,[],[3438])).
% 199.34/199.33 cnf(13289,plain,
% 199.34/199.33 (~P1(f317(f317(f225(a901),x132891),f2(a901)))),
% 199.34/199.33 inference(rename_variables,[],[4614])).
% 199.34/199.33 cnf(13290,plain,
% 199.34/199.33 (P1(f317(f317(f224(a1),x132901),x132901))),
% 199.34/199.33 inference(rename_variables,[],[3438])).
% 199.34/199.33 cnf(13295,plain,
% 199.34/199.33 (P1(f317(f317(f224(a901),x132951),x132951))),
% 199.34/199.33 inference(rename_variables,[],[3437])).
% 199.34/199.33 cnf(13298,plain,
% 199.34/199.33 (P1(f317(f317(f224(a901),x132981),x132981))),
% 199.34/199.33 inference(rename_variables,[],[3437])).
% 199.34/199.33 cnf(13301,plain,
% 199.34/199.33 (~P1(f317(f317(f224(a901),f317(a102,x133011)),x133011))),
% 199.34/199.33 inference(rename_variables,[],[4618])).
% 199.34/199.33 cnf(13306,plain,
% 199.34/199.33 (E(x133061,f508(f317(f7(x133062),f317(f7(x133062),x133061)),f7(x133062),x133062,x133062))),
% 199.34/199.33 inference(scs_inference,[],[3414,4078,12713,12738,12922,12924,3667,11321,12382,12487,12490,12582,12623,12627,12635,12707,12851,12853,3677,12452,12914,12916,3684,3406,12884,12886,12888,3407,12936,3373,12795,4596,4597,11965,4347,12956,3410,12847,3250,3307,12895,3308,12880,3309,3310,3311,12663,12890,4595,3727,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,12448,12614,12677,12829,3491,3456,12963,3636,12143,3357,4585,10637,10737,11201,11301,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3068,3069,3072,3077,3078,3079,3081,3082,3086,3089,3098,3104,3105,3115,3116,3117,3120,3123,3124,3129,3139,3162,3166,3167,3168,3180,3186,3191,3194,3195,3199,3200,3206,3207,3209,3210,3211,3219,3229,4576,3236,3306,4577,3766,3985,11903,3283,11607,3419,3394,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,12354,12558,12773,12831,12833,12840,12845,12866,12868,12870,12874,12903,12920,3368,12648,12652,12656,3374,3383,3883,4176,3351,13238,3502,12710,12798,3272,3273,3630,3972,11653,3337,3269,3297,3746,3292,4088,3980,3808,3279,3280,3260,3896,3316,3492,11048,11175,12449,12667,3367,4052,4590,10468,10634,11506,12606,12649,12653,4593,12618,3428,11985,11988,4009,4619,11227,11326,11562,11565,3827,3539,3752,4599,3506,12901,12950,12952,3331,3332,10535,10867,3590,3371,12928,3324,3251,3353,11643,4190,12638,12785,4055,11247,11378,11437,12593,12599,12727,12730,12760,4640,11150,11391,11500,11526,11570,11576,12537,4641,11280,11394,11503,4642,11397,4643,11455,4644,3352,3628,12493,12534,12617,3792,3578,4466,4467,3649,3770,3729,3772,3938,3696,13156,13160,13164,13168,13178,3982,12484,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,12423,12764,13030,13071,13074,13119,13139,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,12540,12642,12976,12995,12998,13022,13075,13254,13259,13284,4623,11757,11790,11829,11836,11869,13084,13088,3859,3638,3639,13001,13004,13007,13010,13043,4001,3465,3467,3440,4611,3330,3296,4587,3818,4115,3621,4626,4183,11523,3751,3477,12008,12011,12456,12562,12741,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,12518,4109,11253,12379,12455,12517,12561,3793,11840,12170,12317,12387,12439,4142,3810,10600,10697,11250,11331,11410,11474,12338,12401,12672,12737,12757,12767,4627,10999,11402,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,12501,12565,12683,12733,13023,13049,13107,13131,13142,13147,13150,13153,13186,13197,13210,13265,13295,13298,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,12265,13040,13190,13213,13255,13260,13285,3439,12426,12429,3511,12371,13104,13157,13161,13165,13169,13179,13183,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,12470,12568,12571,12676,12716,12813,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,12613,12816,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,12397,12546,12590,12596,12695,12698,12723,12784,12790,12801,12804,12809,12823,13103,13123,13126,3496,10864,10897,10906,10909,10912,11492,12717,12734,13085,13089,13092,13095,3535,3528,3942,3881,10514,11892,11920,13066,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,13301,3458,10900,11053,11123,11921,12072,12270,12475,12502,3905,12014,13017,3644,4616,3916,4615,3950,4602,4605,4606,3413,3418,4604,4603,4353,4638,3741,4327,11740,4629,10763,10766,4639,11236,11239,11425,11536,11553,11599,4019,11596,11941,11945,12626,12634,12726,13241,3867,11166,11172,11190,12192,12322,12400,3725,11306,11428,12432,12543,12553,12631,12686,12694,12820,4188,3869,10903,11269,11434,11468,11479,12630,12680,12720,3586,3693,10816,10819,10915,11079,3692,4632,11886,4628,12985,4634,10656,10769,12496,12505,12549,12751,4280,11039,12514,12529,4195,3904,12826,3846,3847,4630,10490,10493,10858,10861,11754,11946,12763,4631,11866,11951,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712,7738,7739,7771,7773,7774,7775,7781,7801,7818,7823,7829,7831,7839,7852,7853,7855,7877,7884,7907,7941,7977,7978,7979,8023,8029,8030,8049,8050,8067,8068,8069,8124,8125,8155,8187,8196,8211,8226,8256,8260,8266,8278,8296,8302,8323,8367,8396,8410,8430,8433,8456,8482,8538,8539,8542,8543,8610,8648,8649,8650,8651,8708,8738,8746,8747,8782,8802,8816,8848,8857,8908,8911,8928,8935,8978,9019,9020,9037,9038,9052,9163,9168,9172,9186,9197,9225,9227,9230,9236,9238,9239,9251,9252,9274,9282,9293,9301,9344,9346,9363,9425,9426,9428,9467,9495,9501,9534,9548,9550,9551,9555,9556,9571,9592,9605,9608,9621,9622,9623,9625,9664,9797,9798,9845,9846,9890,9925,9934,10020,10035,10089,10243,10262,10370,3,2774,2775,2780,2783,2784,2785,2788,2789,2790,2791,2793,2800,2802,2803,2804,2805,2806,2809,2810,2819,2820,2821,2828,2832,2833,2839,2841,2842,2844,2845,2846,2847,2849,2850,2851,2852,2853,2855,2856,2857,2858,2859,2868,2870,2871,2872,2873,2874,2875,2895,2897,2898,2906,2916,2917,2918,2919,2920,2921,2922,2923,2947,2948,2949,2970,2971,2975,2983,2986,2987,2989,2990,2992,2994,2999,3002,3003,3004,3012,3013,5351,5393,5544,5545,5546,5627,5728,5758,5792,5808,5810,5816,5878,5879,5880,5881,5898,5933,6070,6107,6117,6141,6175,6213,6220,6365,6370,6410,6411,6431,6433,6435,6442,6443,6444,6445,6446,6447,6448,6449,6531,6604,6605,6692,6729,6730,6769,6770,6908,6920,6975,6995,6996,7002,7024,7049,7057,7059,7064,7108,7128,7129,7147,7148,7184,7229,7230,7327,7392,7393,7394,7395,7412,7440,7492,7493,7501,7506,7507,7518,7548,7549,7550,7551,7693,7694,7696,7698,7704,7705,7779,7913,7916,7922,7923,7932,7936,7974,7975,8045,8083,8137,8160,8161,8242,8335,8406,8407,8411,8414,8442,8478,8504,8505,8571,8587,8588,8589,8590,8742])).
% 199.34/199.33 cnf(13307,plain,
% 199.34/199.33 (P1(f317(f317(f319(x133071),f317(x133072,x133073)),f317(f300(x133074,x133071,x133072),f232(f907(x133074,a897)))))),
% 199.34/199.33 inference(rename_variables,[],[4019])).
% 199.34/199.33 cnf(13308,plain,
% 199.34/199.33 (P22(x133081,x133081,f7(x133081),x133082)),
% 199.34/199.33 inference(rename_variables,[],[3667])).
% 199.34/199.33 cnf(13313,plain,
% 199.34/199.33 (P1(f317(f317(f224(f907(x133131,a897)),x133132),f232(f907(x133131,a897))))),
% 199.34/199.33 inference(rename_variables,[],[3810])).
% 199.34/199.33 cnf(13314,plain,
% 199.34/199.33 (P22(x133141,x133141,f7(x133141),x133142)),
% 199.34/199.33 inference(rename_variables,[],[3667])).
% 199.34/199.33 cnf(13318,plain,
% 199.34/199.33 (P1(f317(f317(f224(f907(x133181,a897)),x133182),f232(f907(x133181,a897))))),
% 199.34/199.33 inference(rename_variables,[],[3810])).
% 199.34/199.33 cnf(13319,plain,
% 199.34/199.33 (P22(x133191,x133191,f7(x133191),x133192)),
% 199.34/199.33 inference(rename_variables,[],[3667])).
% 199.34/199.33 cnf(13323,plain,
% 199.34/199.33 (P22(x133231,x133231,f7(x133231),x133232)),
% 199.34/199.33 inference(rename_variables,[],[3667])).
% 199.34/199.33 cnf(13326,plain,
% 199.34/199.33 (~P1(f317(f317(f225(f907(x133261,a897)),x133262),f179(f907(x133261,a897))))),
% 199.34/199.33 inference(rename_variables,[],[4627])).
% 199.34/199.33 cnf(13329,plain,
% 199.34/199.33 (P22(x133291,x133291,f7(x133291),x133292)),
% 199.34/199.33 inference(rename_variables,[],[3667])).
% 199.34/199.33 cnf(13332,plain,
% 199.34/199.33 (P22(x133321,x133321,f7(x133321),x133322)),
% 199.34/199.33 inference(rename_variables,[],[3667])).
% 199.34/199.33 cnf(13335,plain,
% 199.34/199.33 (P1(f317(f317(f319(x133351),f317(x133352,x133353)),f317(f300(x133354,x133351,x133352),f232(f907(x133354,a897)))))),
% 199.34/199.33 inference(rename_variables,[],[4019])).
% 199.34/199.33 cnf(13341,plain,
% 199.34/199.33 (P1(f317(f317(f224(f907(x133411,a897)),x133412),f232(f907(x133411,a897))))),
% 199.34/199.33 inference(rename_variables,[],[3810])).
% 199.34/199.33 cnf(13346,plain,
% 199.34/199.33 (P1(f317(f317(f224(f907(x133461,a897)),f179(f907(x133461,a897))),x133462))),
% 199.34/199.33 inference(rename_variables,[],[3869])).
% 199.34/199.33 cnf(13348,plain,
% 199.34/199.33 (~E(f103(f902(x133481)),f317(f317(f124(f902(x133481)),x133482),f317(f317(f141(f902(x133481)),f103(x133481)),x133483)))),
% 199.34/199.33 inference(scs_inference,[],[3414,4078,12713,12738,12922,12924,3667,11321,12382,12487,12490,12582,12623,12627,12635,12707,12851,12853,13308,13314,13319,13323,13329,3677,12452,12914,12916,3684,3406,12884,12886,12888,3407,12936,3373,12795,4596,4597,11965,4347,12956,3410,12847,3250,3307,12895,3308,12880,3309,3310,3311,12663,12890,4595,3727,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,12448,12614,12677,12829,3491,3456,12963,3636,12143,3357,4585,10637,10737,11201,11301,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3068,3069,3072,3077,3078,3079,3081,3082,3086,3089,3098,3104,3105,3115,3116,3117,3120,3123,3124,3129,3139,3162,3166,3167,3168,3180,3186,3191,3194,3195,3199,3200,3206,3207,3209,3210,3211,3219,3229,4576,3236,3306,4577,3766,3985,11903,3283,11607,3419,3394,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,12354,12558,12773,12831,12833,12840,12845,12866,12868,12870,12874,12903,12920,13173,3368,12648,12652,12656,3374,3383,3883,4176,3351,13238,3502,12710,12798,3272,3273,3630,3972,11653,3337,3269,3297,3746,3292,4088,3980,3808,3279,3280,3260,3896,3316,3492,11048,11175,12449,12667,3367,4052,4590,10468,10634,11506,12606,12649,12653,4593,12618,3428,11985,11988,4009,4619,11227,11326,11562,11565,3827,3539,3752,4599,3506,12901,12950,12952,3331,3332,10535,10867,4608,3590,3371,12928,3324,3251,3353,11643,4190,12638,12785,4055,11247,11378,11437,12593,12599,12727,12730,12760,4640,11150,11391,11500,11526,11570,11576,12537,4641,11280,11394,11503,4642,11397,11448,4643,11455,4644,3352,3628,12493,12534,12617,3792,3578,4466,4467,3649,3770,3729,3772,3938,3696,13156,13160,13164,13168,13178,3982,12484,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,12423,12764,13030,13071,13074,13119,13139,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,12540,12642,12976,12995,12998,13022,13075,13254,13259,13284,4623,11757,11790,11829,11836,11869,13084,13088,3859,3638,3639,13001,13004,13007,13010,13043,3641,4001,3465,3467,3440,4611,3330,3296,4587,3818,4115,3621,4626,4183,11523,3751,3477,12008,12011,12456,12562,12741,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,12518,4109,11253,12379,12455,12517,12561,3793,11840,12170,12317,12387,12439,4142,3810,10600,10697,11250,11331,11410,11474,12338,12401,12672,12737,12757,12767,13245,13313,13318,4627,10999,11402,12521,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,12501,12565,12683,12733,13023,13049,13107,13131,13142,13147,13150,13153,13186,13197,13210,13265,13295,13298,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,12265,13040,13190,13213,13255,13260,13285,3439,12426,12429,3511,12371,13104,13157,13161,13165,13169,13179,13183,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,12470,12568,12571,12676,12716,12813,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,12613,12816,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,12397,12546,12590,12596,12695,12698,12723,12784,12790,12801,12804,12809,12823,13103,13123,13126,3496,10864,10897,10906,10909,10912,11492,12717,12734,13085,13089,13092,13095,3535,3528,3942,3881,10514,11892,11920,13066,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,13301,3458,10900,11053,11123,11921,12072,12270,12475,12502,3905,12014,13017,3644,4616,3916,4615,3950,4602,4605,4606,3413,3418,4604,4603,4353,4638,3741,11885,4327,11740,4629,10763,10766,4639,11236,11239,11425,11536,11553,11599,4019,11596,11941,11945,12626,12634,12726,13241,13307,3867,11166,11172,11190,12192,12322,12400,3725,11306,11428,12432,12543,12553,12631,12686,12694,12820,4188,3869,10903,11269,11434,11468,11479,12630,12680,12720,12770,3586,3693,10816,10819,10915,11079,3692,4632,11886,4628,12985,4634,10656,10769,12496,12505,12549,12751,4280,11039,12514,12529,12552,4195,3904,12826,3846,3847,4630,10490,10493,10858,10861,11754,11946,12763,4631,11866,11951,3870,10822,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712,7738,7739,7771,7773,7774,7775,7781,7801,7818,7823,7829,7831,7839,7852,7853,7855,7877,7884,7907,7941,7977,7978,7979,8023,8029,8030,8049,8050,8067,8068,8069,8124,8125,8155,8187,8196,8211,8226,8256,8260,8266,8278,8296,8302,8323,8367,8396,8410,8430,8433,8456,8482,8538,8539,8542,8543,8610,8648,8649,8650,8651,8708,8738,8746,8747,8782,8802,8816,8848,8857,8908,8911,8928,8935,8978,9019,9020,9037,9038,9052,9163,9168,9172,9186,9197,9225,9227,9230,9236,9238,9239,9251,9252,9274,9282,9293,9301,9344,9346,9363,9425,9426,9428,9467,9495,9501,9534,9548,9550,9551,9555,9556,9571,9592,9605,9608,9621,9622,9623,9625,9664,9797,9798,9845,9846,9890,9925,9934,10020,10035,10089,10243,10262,10370,3,2774,2775,2780,2783,2784,2785,2788,2789,2790,2791,2793,2800,2802,2803,2804,2805,2806,2809,2810,2819,2820,2821,2828,2832,2833,2839,2841,2842,2844,2845,2846,2847,2849,2850,2851,2852,2853,2855,2856,2857,2858,2859,2868,2870,2871,2872,2873,2874,2875,2895,2897,2898,2906,2916,2917,2918,2919,2920,2921,2922,2923,2947,2948,2949,2970,2971,2975,2983,2986,2987,2989,2990,2992,2994,2999,3002,3003,3004,3012,3013,5351,5393,5544,5545,5546,5627,5728,5758,5792,5808,5810,5816,5878,5879,5880,5881,5898,5933,6070,6107,6117,6141,6175,6213,6220,6365,6370,6410,6411,6431,6433,6435,6442,6443,6444,6445,6446,6447,6448,6449,6531,6604,6605,6692,6729,6730,6769,6770,6908,6920,6975,6995,6996,7002,7024,7049,7057,7059,7064,7108,7128,7129,7147,7148,7184,7229,7230,7327,7392,7393,7394,7395,7412,7440,7492,7493,7501,7506,7507,7518,7548,7549,7550,7551,7693,7694,7696,7698,7704,7705,7779,7913,7916,7922,7923,7932,7936,7974,7975,8045,8083,8137,8160,8161,8242,8335,8406,8407,8411,8414,8442,8478,8504,8505,8571,8587,8588,8589,8590,8742,8996,8997,9066,9080,9133,9134,9241,9243,9286,9313,9347])).
% 199.34/199.33 cnf(13350,plain,
% 199.34/199.33 (E(f317(f273(x133501,x133501),f253(x133501,x133502)),x133502)),
% 199.34/199.33 inference(rename_variables,[],[3397])).
% 199.34/199.33 cnf(13354,plain,
% 199.34/199.33 (~P1(f317(f317(f319(x133541),x133542),f179(f907(x133541,a897))))),
% 199.34/199.33 inference(rename_variables,[],[4621])).
% 199.34/199.33 cnf(13359,plain,
% 199.34/199.33 (P22(x133591,x133591,f7(x133591),x133592)),
% 199.34/199.33 inference(rename_variables,[],[3667])).
% 199.34/199.33 cnf(13362,plain,
% 199.34/199.33 (P1(f317(f317(f224(f907(x133621,a897)),x133622),f232(f907(x133621,a897))))),
% 199.34/199.33 inference(rename_variables,[],[3810])).
% 199.34/199.33 cnf(13366,plain,
% 199.34/199.33 (P1(f317(f317(f319(x133661),x133662),f232(f907(x133661,a897))))),
% 199.34/199.33 inference(rename_variables,[],[3585])).
% 199.34/199.33 cnf(13370,plain,
% 199.34/199.33 (E(f317(f317(f18(x133701,x133702),x133703),x133704),x133703)),
% 199.34/199.33 inference(rename_variables,[],[3428])).
% 199.34/199.33 cnf(13373,plain,
% 199.34/199.33 (~P1(f317(f317(f319(x133731),x133732),f179(f907(x133731,a897))))),
% 199.34/199.33 inference(rename_variables,[],[4621])).
% 199.34/199.33 cnf(13376,plain,
% 199.34/199.33 (~P1(f317(f317(f319(x133761),x133762),f179(f907(x133761,a897))))),
% 199.34/199.33 inference(rename_variables,[],[4621])).
% 199.34/199.33 cnf(13379,plain,
% 199.34/199.33 (P1(f317(f317(f224(f907(x133791,a897)),x133792),f232(f907(x133791,a897))))),
% 199.34/199.33 inference(rename_variables,[],[3810])).
% 199.34/199.33 cnf(13380,plain,
% 199.34/199.33 (P22(x133801,x133801,f7(x133801),x133802)),
% 199.34/199.33 inference(rename_variables,[],[3667])).
% 199.34/199.33 cnf(13385,plain,
% 199.34/199.33 (~E(f317(a102,x133851),x133851)),
% 199.34/199.33 inference(rename_variables,[],[4579])).
% 199.34/199.33 cnf(13391,plain,
% 199.34/199.33 (P1(f317(f317(f225(a901),x133911),f317(a102,x133911)))),
% 199.34/199.33 inference(rename_variables,[],[3503])).
% 199.34/199.33 cnf(13392,plain,
% 199.34/199.33 (~E(f317(a102,x133921),x133921)),
% 199.34/199.33 inference(rename_variables,[],[4579])).
% 199.34/199.33 cnf(13395,plain,
% 199.34/199.33 (P1(f317(f317(f225(a901),x133951),f317(a102,f317(f317(f74(a901),x133952),x133951))))),
% 199.34/199.33 inference(rename_variables,[],[3870])).
% 199.34/199.33 cnf(13396,plain,
% 199.34/199.33 (P1(f317(f317(f225(a901),x133961),f317(a102,x133961)))),
% 199.34/199.33 inference(rename_variables,[],[3503])).
% 199.34/199.33 cnf(13405,plain,
% 199.34/199.33 (P1(f317(f317(f224(a1),f2(a1)),f317(f90(a1),x134051)))),
% 199.34/199.33 inference(rename_variables,[],[3535])).
% 199.34/199.33 cnf(13408,plain,
% 199.34/199.33 (P1(f317(f317(f224(a901),f2(a901)),x134081))),
% 199.34/199.33 inference(rename_variables,[],[3458])).
% 199.34/199.33 cnf(13412,plain,
% 199.34/199.33 (~E(f317(a102,x134121),f2(a901))),
% 199.34/199.33 inference(rename_variables,[],[4585])).
% 199.34/199.33 cnf(13414,plain,
% 199.34/199.33 (P1(f317(f317(f276(a901),f317(f317(f11(x134141,a901),x134142),f317(f162(x134141),f166(x134141,x134143,x134144)))),f317(f317(f11(x134141,a901),x134142),f317(f162(x134141),x134143))))),
% 199.34/199.33 inference(scs_inference,[],[3414,4078,12713,12738,12922,12924,12926,3667,11321,12382,12487,12490,12582,12623,12627,12635,12707,12851,12853,13308,13314,13319,13323,13329,13332,13359,3677,12452,12914,12916,3684,3406,12884,12886,12888,3407,12936,3373,12795,4596,4597,11965,4347,12956,3410,12847,3250,3307,12895,3308,12880,3309,3310,3311,12663,12890,4595,3727,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,12448,12614,12677,12829,13120,13385,13392,3491,3456,12963,3636,12143,3357,4585,10637,10737,11201,11301,13035,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3068,3069,3072,3077,3078,3079,3081,3082,3086,3089,3098,3104,3105,3115,3116,3117,3120,3123,3124,3129,3139,3152,3162,3163,3166,3167,3168,3180,3186,3191,3194,3195,3199,3200,3206,3207,3209,3210,3211,3219,3229,4576,3236,3306,4577,3766,3985,11903,3283,11607,3419,3394,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,12354,12558,12773,12831,12833,12840,12845,12866,12868,12870,12874,12903,12920,13173,3368,12648,12652,12656,3374,3383,3883,4176,3351,13238,3502,12710,12798,3272,3273,4248,3630,3972,11653,3337,3269,3297,3746,3292,4088,3980,3808,3279,3280,3260,3896,3316,3492,11048,11175,12449,12667,3367,4052,4590,10468,10634,11506,12606,12649,12653,4593,12618,3428,11985,11988,13272,4009,4619,11227,11326,11562,11565,3402,3827,3423,3539,3752,4599,3506,12901,12950,12952,3331,3332,10535,10867,4608,3590,3371,12928,3324,3251,3353,11643,4190,12638,12785,4055,11247,11378,11437,12593,12599,12727,12730,12760,4640,11150,11391,11500,11526,11570,11576,12537,4641,11280,11394,11503,4642,11397,11448,4643,11455,4644,3352,3628,12493,12534,12617,3792,3578,4466,4467,3649,3770,3729,3772,3938,3696,13156,13160,13164,13168,13178,3982,12484,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,12423,12764,13030,13071,13074,13119,13139,13391,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,12540,12642,12976,12995,12998,13022,13075,13254,13259,13284,4623,11757,11790,11829,11836,11869,13084,13088,3859,3638,3639,13001,13004,13007,13010,13043,3641,4001,3465,3467,3440,4611,3330,3296,4587,3818,4115,3621,4626,4183,11523,3751,3477,12008,12011,12456,12562,12741,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,12518,4109,11253,12379,12455,12517,12561,13277,3793,11840,12170,12317,12387,12439,4142,3810,10600,10697,11250,11331,11410,11474,12338,12401,12672,12737,12757,12767,13245,13313,13318,13341,13362,4627,10999,11402,12521,13326,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,12501,12565,12683,12733,13023,13049,13107,13131,13142,13147,13150,13153,13186,13197,13210,13265,13295,13298,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,12265,13040,13190,13213,13255,13260,13285,3439,12426,12429,3511,12371,13104,13157,13161,13165,13169,13179,13183,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,12470,12568,12571,12676,12716,12813,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,12613,12816,13237,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,12397,12546,12590,12596,12695,12698,12723,12784,12790,12801,12804,12809,12823,13103,13123,13126,13224,13354,13373,3496,10864,10897,10906,10909,10912,11492,12717,12734,13085,13089,13092,13095,3535,3528,3942,3881,10514,11892,11920,13066,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,13301,3458,10900,11053,11123,11921,12072,12270,12475,12502,13116,3905,12014,13017,3644,4616,3916,4615,3950,4602,4605,4606,3413,3418,4604,4603,4353,4638,3741,11885,4327,11740,4629,10763,10766,4639,11236,11239,11425,11536,11553,11599,4019,11596,11941,11945,12626,12634,12726,13241,13307,13335,3867,11166,11172,11190,12192,12322,12400,12691,3725,11306,11428,12432,12543,12553,12631,12686,12694,12820,4188,3869,10903,11269,11434,11468,11479,12630,12680,12720,12770,3586,3693,10816,10819,10915,11079,3692,4632,11886,4628,12985,4634,10656,10769,12496,12505,12549,12751,4280,11039,12514,12529,12552,4195,3904,12826,3846,3847,4630,10490,10493,10858,10861,11754,11946,12763,4631,11866,11951,3870,10822,11085,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712,7738,7739,7771,7773,7774,7775,7781,7801,7818,7823,7829,7831,7839,7852,7853,7855,7877,7884,7907,7941,7977,7978,7979,8023,8029,8030,8049,8050,8067,8068,8069,8124,8125,8155,8187,8196,8211,8226,8256,8260,8266,8278,8296,8302,8323,8367,8396,8410,8430,8433,8456,8482,8538,8539,8542,8543,8610,8648,8649,8650,8651,8708,8738,8746,8747,8782,8802,8816,8848,8857,8908,8911,8928,8935,8978,9019,9020,9037,9038,9052,9163,9168,9172,9186,9197,9225,9227,9230,9236,9238,9239,9251,9252,9274,9282,9293,9301,9344,9346,9363,9425,9426,9428,9467,9495,9501,9534,9548,9550,9551,9555,9556,9571,9592,9605,9608,9621,9622,9623,9625,9664,9797,9798,9845,9846,9890,9925,9934,10020,10035,10089,10243,10262,10370,3,2774,2775,2780,2783,2784,2785,2788,2789,2790,2791,2793,2800,2802,2803,2804,2805,2806,2809,2810,2819,2820,2821,2828,2832,2833,2839,2841,2842,2844,2845,2846,2847,2849,2850,2851,2852,2853,2855,2856,2857,2858,2859,2868,2870,2871,2872,2873,2874,2875,2895,2897,2898,2906,2916,2917,2918,2919,2920,2921,2922,2923,2947,2948,2949,2970,2971,2975,2983,2986,2987,2989,2990,2992,2994,2999,3002,3003,3004,3012,3013,5351,5393,5544,5545,5546,5627,5728,5758,5792,5808,5810,5816,5878,5879,5880,5881,5898,5933,6070,6107,6117,6141,6175,6213,6220,6365,6370,6410,6411,6431,6433,6435,6442,6443,6444,6445,6446,6447,6448,6449,6531,6604,6605,6692,6729,6730,6769,6770,6908,6920,6975,6995,6996,7002,7024,7049,7057,7059,7064,7108,7128,7129,7147,7148,7184,7229,7230,7327,7392,7393,7394,7395,7412,7440,7492,7493,7501,7506,7507,7518,7548,7549,7550,7551,7693,7694,7696,7698,7704,7705,7779,7913,7916,7922,7923,7932,7936,7974,7975,8045,8083,8137,8160,8161,8242,8335,8406,8407,8411,8414,8442,8478,8504,8505,8571,8587,8588,8589,8590,8742,8996,8997,9066,9080,9133,9134,9241,9243,9286,9313,9347,9388,9590,9725,9881,10066,10110,10112,10388,5968,6137,6515,6516,6607,6623,6624,7048,7267,8582])).
% 199.34/199.33 cnf(13415,plain,
% 199.34/199.33 (P1(f317(f317(f224(f907(x134151,a897)),f317(f162(x134151),f166(x134151,x134152,x134153))),f317(f162(x134151),x134152)))),
% 199.34/199.33 inference(rename_variables,[],[4109])).
% 199.34/199.33 cnf(13420,plain,
% 199.34/199.33 (P1(f317(f317(f319(x134201),x134202),f232(f907(x134201,a897))))),
% 199.34/199.33 inference(rename_variables,[],[3585])).
% 199.34/199.33 cnf(13424,plain,
% 199.34/199.33 (~P1(f317(f317(f319(x134241),x134242),f179(f907(x134241,a897))))),
% 199.34/199.33 inference(rename_variables,[],[4621])).
% 199.34/199.33 cnf(13427,plain,
% 199.34/199.33 (P1(f317(f28(a901),f295(a901,x134271,x134272)))),
% 199.34/199.33 inference(rename_variables,[],[3639])).
% 199.34/199.33 cnf(13428,plain,
% 199.34/199.33 (E(f317(f317(f178(a901),f317(a102,x134281)),f317(a102,x134282)),f317(a102,f317(f317(f178(a901),x134281),x134282)))),
% 199.34/199.33 inference(rename_variables,[],[3602])).
% 199.34/199.33 cnf(13431,plain,
% 199.34/199.33 (P1(f317(f28(a901),f295(a901,x134311,x134312)))),
% 199.34/199.33 inference(rename_variables,[],[3639])).
% 199.34/199.33 cnf(13432,plain,
% 199.34/199.33 (E(f317(f317(f228(a901),f317(a102,x134321)),f317(a102,x134322)),f317(a102,f317(f317(f228(a901),x134321),x134322)))),
% 199.34/199.33 inference(rename_variables,[],[3601])).
% 199.34/199.33 cnf(13435,plain,
% 199.34/199.33 (P1(f317(f28(a901),f295(a901,x134351,x134352)))),
% 199.34/199.33 inference(rename_variables,[],[3639])).
% 199.34/199.33 cnf(13444,plain,
% 199.34/199.33 (~P1(f317(f317(f319(x134441),x134442),f179(f907(x134441,a897))))),
% 199.34/199.33 inference(rename_variables,[],[4621])).
% 199.34/199.33 cnf(13445,plain,
% 199.34/199.33 (E(f317(f317(f18(x134451,x134452),x134453),x134454),x134453)),
% 199.34/199.33 inference(rename_variables,[],[3428])).
% 199.34/199.33 cnf(13448,plain,
% 199.34/199.33 (P1(f317(f317(f224(f907(x134481,a897)),f317(f162(x134481),f317(f126(x134481,x134482),x134483))),f317(f162(x134481),x134483)))),
% 199.34/199.33 inference(rename_variables,[],[4063])).
% 199.34/199.33 cnf(13449,plain,
% 199.34/199.33 (E(f317(f317(f18(x134491,x134492),x134493),x134494),x134493)),
% 199.34/199.33 inference(rename_variables,[],[3428])).
% 199.34/199.33 cnf(13452,plain,
% 199.34/199.33 (P1(f317(f317(f224(f907(x134521,a897)),f317(f162(x134521),f317(f317(f165(x134521),x134522),x134523))),f317(f162(x134521),x134523)))),
% 199.34/199.33 inference(rename_variables,[],[4105])).
% 199.34/199.33 cnf(13453,plain,
% 199.34/199.33 (E(f317(f317(f18(x134531,x134532),x134533),x134534),x134533)),
% 199.34/199.33 inference(rename_variables,[],[3428])).
% 199.34/199.33 cnf(13457,plain,
% 199.34/199.33 (E(f317(f317(f18(x134571,x134572),x134573),x134574),x134573)),
% 199.34/199.33 inference(rename_variables,[],[3428])).
% 199.34/199.33 cnf(13470,plain,
% 199.34/199.33 (P1(f317(f317(f224(a1),f2(a1)),f317(f90(a1),x134701)))),
% 199.34/199.33 inference(rename_variables,[],[3535])).
% 199.34/199.33 cnf(13475,plain,
% 199.34/199.33 (P22(x134751,x134751,f7(x134751),x134752)),
% 199.34/199.33 inference(rename_variables,[],[3667])).
% 199.34/199.33 cnf(13478,plain,
% 199.34/199.33 (~P1(f317(f317(f319(x134781),x134782),f179(f907(x134781,a897))))),
% 199.34/199.33 inference(rename_variables,[],[4621])).
% 199.34/199.33 cnf(13479,plain,
% 199.34/199.33 (E(f317(f273(x134791,x134791),f253(x134791,x134792)),x134792)),
% 199.34/199.33 inference(rename_variables,[],[3397])).
% 199.34/199.33 cnf(13480,plain,
% 199.34/199.33 (P22(x134801,x134801,f7(x134801),x134802)),
% 199.34/199.33 inference(rename_variables,[],[3667])).
% 199.34/199.33 cnf(13484,plain,
% 199.34/199.33 (E(f317(f273(x134841,x134841),f253(x134841,x134842)),x134842)),
% 199.34/199.33 inference(rename_variables,[],[3397])).
% 199.34/199.33 cnf(13489,plain,
% 199.34/199.33 (P1(f317(f317(f225(f907(a1,a897)),f294(a1,f72(a1),f2(a1))),f294(a1,f2(a1),f72(a1))))),
% 199.34/199.33 inference(scs_inference,[],[3414,4078,12713,12738,12922,12924,12926,3667,11321,12382,12487,12490,12582,12623,12627,12635,12707,12851,12853,13308,13314,13319,13323,13329,13332,13359,13380,13475,13480,3677,12452,12914,12916,3684,3406,12884,12886,12888,3407,12936,3373,12795,4596,4597,11965,4347,12956,3410,12847,3250,3307,12895,3308,12880,3309,3310,3311,12663,12890,4595,3727,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,12448,12614,12677,12829,13120,13385,13392,3491,3456,12963,3636,12143,3357,4585,10637,10737,11201,11301,13035,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3068,3069,3072,3077,3078,3079,3081,3082,3086,3089,3098,3104,3105,3115,3116,3117,3120,3123,3124,3129,3139,3152,3162,3163,3166,3167,3168,3180,3186,3191,3194,3195,3199,3200,3206,3207,3209,3210,3211,3219,3229,4576,3236,3306,4577,3766,3985,11903,3283,11607,3419,3394,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,12354,12558,12773,12831,12833,12840,12845,12866,12868,12870,12874,12903,12920,13173,13350,13479,3368,12648,12652,12656,3374,3383,3883,4176,3351,13238,3502,12710,12798,3272,3273,4248,3630,3972,11653,3337,3269,3297,3746,3292,4088,3980,3808,3279,3280,3260,3896,3316,3492,11048,11175,12449,12667,3367,4052,4590,10468,10634,11506,12606,12649,12653,4593,12618,3428,11985,11988,13272,13370,13445,13449,13453,13457,4009,4619,11227,11326,11562,11565,3402,3827,3345,3423,3539,3752,3531,4599,3506,12901,12950,12952,3331,3332,10535,10867,4608,3590,3371,12928,3324,3251,3353,11643,4190,12638,12785,4055,11247,11378,11437,12593,12599,12727,12730,12760,4640,11150,11391,11500,11526,11570,11576,12537,4641,11280,11394,11503,4642,11397,11448,4643,11455,4644,3352,3628,12493,12534,12617,3792,3578,4466,4467,3649,3770,3729,3772,3938,3696,13156,13160,13164,13168,13178,3982,12484,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,12423,12764,13030,13071,13074,13119,13139,13391,3872,11889,3421,3515,11714,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,12540,12642,12976,12995,12998,13022,13075,13254,13259,13284,4623,11757,11790,11829,11836,11869,13084,13088,3859,3638,3639,13001,13004,13007,13010,13043,13046,13427,13431,13435,3641,4001,3601,13432,3602,13428,3465,3467,3440,4611,3330,3296,4587,3818,4115,3621,4626,4183,11523,3751,3477,12008,12011,12456,12562,12741,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,12518,12666,13448,4105,13452,4109,11253,12379,12455,12517,12561,13277,13415,3793,11840,12170,12317,12387,12439,4142,3810,10600,10697,11250,11331,11410,11474,12338,12401,12672,12737,12757,12767,13245,13313,13318,13341,13362,13379,4627,10999,11402,12521,13326,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,12501,12565,12683,12733,13023,13049,13107,13131,13142,13147,13150,13153,13186,13197,13210,13265,13295,13298,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,12265,13040,13190,13213,13255,13260,13285,3439,12426,12429,3511,12371,13104,13157,13161,13165,13169,13179,13183,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,12470,12568,12571,12676,12716,12813,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,12613,12816,13237,13366,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,12397,12546,12590,12596,12695,12698,12723,12784,12790,12801,12804,12809,12823,13103,13123,13126,13224,13354,13373,13376,13424,13444,13478,3496,10864,10897,10906,10909,10912,11492,12717,12734,13085,13089,13092,13095,3535,13405,3528,3942,3881,10514,11892,11920,13066,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,13301,3458,10900,11053,11123,11921,12072,12270,12475,12502,13116,3905,12014,13017,3644,4616,3916,4615,3950,4602,4605,4606,3413,3418,4604,4603,4353,4638,4400,3741,11885,4327,11740,4629,10763,10766,4639,11236,11239,11425,11536,11553,11599,4019,11596,11941,11945,12626,12634,12726,13241,13307,13335,3867,11166,11172,11190,12192,12322,12400,12691,3725,11306,11428,12432,12543,12553,12631,12686,12694,12820,13248,4188,3869,10903,11269,11434,11468,11479,12630,12680,12720,12770,13346,3586,3693,10816,10819,10915,11079,3692,4632,11886,4628,12985,4634,10656,10769,12496,12505,12549,12751,4280,11039,12514,12529,12552,4195,3904,12826,3846,3847,4630,10490,10493,10858,10861,11754,11946,12763,4631,11866,11951,3870,10822,11085,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712,7738,7739,7771,7773,7774,7775,7781,7801,7818,7823,7829,7831,7839,7852,7853,7855,7877,7884,7907,7941,7977,7978,7979,8023,8029,8030,8049,8050,8067,8068,8069,8124,8125,8155,8187,8196,8211,8226,8256,8260,8266,8278,8296,8302,8323,8367,8396,8410,8430,8433,8456,8482,8538,8539,8542,8543,8610,8648,8649,8650,8651,8708,8738,8746,8747,8782,8802,8816,8848,8857,8908,8911,8928,8935,8978,9019,9020,9037,9038,9052,9163,9168,9172,9186,9197,9225,9227,9230,9236,9238,9239,9251,9252,9274,9282,9293,9301,9344,9346,9363,9425,9426,9428,9467,9495,9501,9534,9548,9550,9551,9555,9556,9571,9592,9605,9608,9621,9622,9623,9625,9664,9797,9798,9845,9846,9890,9925,9934,10020,10035,10089,10243,10262,10370,3,2774,2775,2780,2783,2784,2785,2788,2789,2790,2791,2793,2800,2802,2803,2804,2805,2806,2809,2810,2819,2820,2821,2828,2832,2833,2839,2841,2842,2844,2845,2846,2847,2849,2850,2851,2852,2853,2855,2856,2857,2858,2859,2868,2870,2871,2872,2873,2874,2875,2895,2897,2898,2906,2916,2917,2918,2919,2920,2921,2922,2923,2947,2948,2949,2970,2971,2975,2983,2986,2987,2989,2990,2992,2994,2999,3002,3003,3004,3012,3013,5351,5393,5544,5545,5546,5627,5728,5758,5792,5808,5810,5816,5878,5879,5880,5881,5898,5933,6070,6107,6117,6141,6175,6213,6220,6365,6370,6410,6411,6431,6433,6435,6442,6443,6444,6445,6446,6447,6448,6449,6531,6604,6605,6692,6729,6730,6769,6770,6908,6920,6975,6995,6996,7002,7024,7049,7057,7059,7064,7108,7128,7129,7147,7148,7184,7229,7230,7327,7392,7393,7394,7395,7412,7440,7492,7493,7501,7506,7507,7518,7548,7549,7550,7551,7693,7694,7696,7698,7704,7705,7779,7913,7916,7922,7923,7932,7936,7974,7975,8045,8083,8137,8160,8161,8242,8335,8406,8407,8411,8414,8442,8478,8504,8505,8571,8587,8588,8589,8590,8742,8996,8997,9066,9080,9133,9134,9241,9243,9286,9313,9347,9388,9590,9725,9881,10066,10110,10112,10388,5968,6137,6515,6516,6607,6623,6624,7048,7267,8582,8664,8698,8902,9090,9091,9156,9157,9341,9439,9440,9441,9442,9667,9955,9969,10351,10352,6589,8496])).
% 199.34/199.33 cnf(13498,plain,
% 199.34/199.33 (P1(f317(f317(f224(a901),f2(a901)),x134981))),
% 199.34/199.33 inference(rename_variables,[],[3458])).
% 199.34/199.33 cnf(13499,plain,
% 199.34/199.33 (P1(f317(f317(f225(a901),f2(a901)),f317(a102,x134991)))),
% 199.34/199.33 inference(rename_variables,[],[3515])).
% 199.34/199.33 cnf(13500,plain,
% 199.34/199.33 (E(f317(f273(x135001,x135001),f253(x135001,x135002)),x135002)),
% 199.34/199.33 inference(rename_variables,[],[3397])).
% 199.34/199.33 cnf(13527,plain,
% 199.34/199.33 (E(f317(f317(f74(a901),f2(a901)),f886(f317(a102,f2(a901)),f2(a901))),f2(a901))),
% 199.34/199.33 inference(scs_inference,[],[3414,4078,12713,12738,12922,12924,12926,3667,11321,12382,12487,12490,12582,12623,12627,12635,12707,12851,12853,13308,13314,13319,13323,13329,13332,13359,13380,13475,13480,3677,12452,12914,12916,3684,3406,12884,12886,12888,3407,12936,3373,12795,4596,4597,11965,4347,12956,3410,12847,3250,3307,12895,3308,12880,3309,3310,3311,12663,12890,4595,3727,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,12448,12614,12677,12829,13120,13385,13392,3491,3456,12963,3636,12143,3357,4585,10637,10737,11201,11301,13035,13412,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3068,3069,3072,3077,3078,3079,3081,3082,3086,3087,3089,3098,3102,3104,3105,3115,3116,3117,3120,3123,3124,3129,3139,3152,3162,3163,3166,3167,3168,3180,3186,3191,3194,3195,3199,3200,3206,3207,3209,3210,3211,3219,3229,4576,3236,3306,4577,3766,3985,11903,3283,11607,3419,3394,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,12354,12558,12773,12831,12833,12840,12845,12866,12868,12870,12874,12903,12920,13173,13350,13479,13484,13500,3368,12648,12652,12656,3374,3383,3883,4176,3351,13238,3502,12710,12798,3272,3273,4248,3630,3972,11653,3337,3269,3297,3746,3292,4088,3980,3808,3279,3280,3260,3896,3316,3492,11048,11175,12449,12667,3367,4052,4590,10468,10634,11506,12606,12649,12653,4593,12618,3428,11985,11988,13272,13370,13445,13449,13453,13457,4009,4619,11227,11326,11562,11565,3402,3827,3345,3423,3539,3752,3531,4599,3506,12901,12950,12952,3331,3332,10535,10867,4608,3590,3371,12928,3324,3251,3353,11643,4190,12638,12785,4055,11247,11378,11437,12593,12599,12727,12730,12760,4640,11150,11391,11500,11526,11570,11576,12537,4641,11280,11394,11503,4642,11397,11448,4643,11455,4644,3352,3628,12493,12534,12617,3792,3578,4466,4467,3612,3649,3770,3729,3772,3938,3696,13156,13160,13164,13168,13178,3982,12484,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,12423,12764,13030,13071,13074,13119,13139,13391,13396,3872,11889,3421,3515,11714,12000,13499,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,12540,12642,12976,12995,12998,13022,13075,13254,13259,13284,13289,4623,11757,11790,11829,11836,11869,13084,13088,3859,3638,3639,13001,13004,13007,13010,13043,13046,13427,13431,13435,3641,4001,3601,13432,3602,13428,3465,3467,3440,4611,3330,3296,4587,3818,4115,3621,4626,4183,11523,3751,3477,12008,12011,12456,12562,12741,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,12518,12666,13448,4105,13452,4109,11253,12379,12455,12517,12561,13277,13415,4110,3793,11840,12170,12317,12387,12439,4142,3810,10600,10697,11250,11331,11410,11474,12338,12401,12672,12737,12757,12767,13245,13313,13318,13341,13362,13379,4627,10999,11402,12521,13326,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,12501,12565,12683,12733,13023,13049,13107,13131,13142,13147,13150,13153,13186,13197,13210,13265,13295,13298,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,12265,13040,13190,13213,13255,13260,13285,13290,3439,12426,12429,3511,12371,13104,13157,13161,13165,13169,13179,13183,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,12470,12568,12571,12676,12716,12813,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,12613,12816,13237,13366,13420,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,12397,12546,12590,12596,12695,12698,12723,12784,12790,12801,12804,12809,12823,13103,13123,13126,13224,13354,13373,13376,13424,13444,13478,3496,10864,10897,10906,10909,10912,11492,12717,12734,13085,13089,13092,13095,3535,13405,13470,3528,3942,3881,10514,11892,11920,13066,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,13301,3458,10900,11053,11123,11921,12072,12270,12475,12502,13116,13408,13498,3905,12014,13017,3644,4616,3916,4615,3950,4602,4605,4606,3413,3418,4604,4603,4353,4638,4400,3741,11885,4327,11740,4629,10763,10766,4639,11236,11239,11425,11536,11553,11599,4019,11596,11941,11945,12626,12634,12726,13241,13307,13335,3867,11166,11172,11190,12192,12322,12400,12691,3725,11306,11428,12432,12543,12553,12631,12686,12694,12820,13248,4188,3869,10903,11269,11434,11468,11479,12630,12680,12720,12770,13346,3586,3693,10816,10819,10915,11079,3692,4632,11886,4628,12985,4634,10656,10769,12496,12505,12549,12751,4280,11039,12514,12529,12552,4195,3904,12826,3846,3847,4630,10490,10493,10858,10861,11754,11946,12763,4631,11866,11951,3870,10822,11085,13395,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712,7738,7739,7771,7773,7774,7775,7781,7801,7818,7823,7829,7831,7839,7852,7853,7855,7877,7884,7907,7941,7977,7978,7979,8023,8029,8030,8049,8050,8067,8068,8069,8124,8125,8155,8187,8196,8211,8226,8256,8260,8266,8278,8296,8302,8323,8367,8396,8410,8430,8433,8456,8482,8538,8539,8542,8543,8610,8648,8649,8650,8651,8708,8738,8746,8747,8782,8802,8816,8848,8857,8908,8911,8928,8935,8978,9019,9020,9037,9038,9052,9163,9168,9172,9186,9197,9225,9227,9230,9236,9238,9239,9251,9252,9274,9282,9293,9301,9344,9346,9363,9425,9426,9428,9467,9495,9501,9534,9548,9550,9551,9555,9556,9571,9592,9605,9608,9621,9622,9623,9625,9664,9797,9798,9845,9846,9890,9925,9934,10020,10035,10089,10243,10262,10370,3,2774,2775,2780,2783,2784,2785,2788,2789,2790,2791,2793,2800,2802,2803,2804,2805,2806,2809,2810,2819,2820,2821,2828,2832,2833,2839,2841,2842,2844,2845,2846,2847,2849,2850,2851,2852,2853,2855,2856,2857,2858,2859,2868,2870,2871,2872,2873,2874,2875,2895,2897,2898,2906,2916,2917,2918,2919,2920,2921,2922,2923,2947,2948,2949,2970,2971,2975,2983,2986,2987,2989,2990,2992,2994,2999,3002,3003,3004,3012,3013,5351,5393,5544,5545,5546,5627,5728,5758,5792,5808,5810,5816,5878,5879,5880,5881,5898,5933,6070,6107,6117,6141,6175,6213,6220,6365,6370,6410,6411,6431,6433,6435,6442,6443,6444,6445,6446,6447,6448,6449,6531,6604,6605,6692,6729,6730,6769,6770,6908,6920,6975,6995,6996,7002,7024,7049,7057,7059,7064,7108,7128,7129,7147,7148,7184,7229,7230,7327,7392,7393,7394,7395,7412,7440,7492,7493,7501,7506,7507,7518,7548,7549,7550,7551,7693,7694,7696,7698,7704,7705,7779,7913,7916,7922,7923,7932,7936,7974,7975,8045,8083,8137,8160,8161,8242,8335,8406,8407,8411,8414,8442,8478,8504,8505,8571,8587,8588,8589,8590,8742,8996,8997,9066,9080,9133,9134,9241,9243,9286,9313,9347,9388,9590,9725,9881,10066,10110,10112,10388,5968,6137,6515,6516,6607,6623,6624,7048,7267,8582,8664,8698,8902,9090,9091,9156,9157,9341,9439,9440,9441,9442,9667,9955,9969,10351,10352,6589,8496,8497,8961,8979,9956,9964,10153,10350,4689,4698,4730])).
% 199.34/199.33 cnf(13533,plain,
% 199.34/199.33 (~E(f317(f317(f141(x135331),x135332),x135333),f317(f158(x135331),f103(x135331)))),
% 199.34/199.33 inference(scs_inference,[],[3414,4078,12713,12738,12922,12924,12926,3667,11321,12382,12487,12490,12582,12623,12627,12635,12707,12851,12853,13308,13314,13319,13323,13329,13332,13359,13380,13475,13480,3677,12452,12914,12916,3684,3406,12884,12886,12888,3407,12936,3373,12795,4596,4597,11965,4347,12956,3410,12847,3250,3307,12895,3308,12880,3309,3310,3311,12663,12890,4595,3727,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,12448,12614,12677,12829,13120,13385,13392,3491,3456,12963,3636,12143,3357,4585,10637,10737,11201,11301,13035,13412,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3068,3069,3072,3077,3078,3079,3081,3082,3086,3087,3089,3098,3102,3104,3105,3115,3116,3117,3120,3123,3124,3129,3139,3152,3162,3163,3166,3167,3168,3180,3186,3191,3194,3195,3199,3200,3206,3207,3209,3210,3211,3219,3229,4576,3236,3306,4577,3766,3985,11903,3283,11607,3419,3394,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,12354,12558,12773,12831,12833,12840,12845,12866,12868,12870,12874,12903,12920,13173,13350,13479,13484,13500,3368,12648,12652,12656,3374,3383,3883,4176,3351,13238,3502,12710,12798,3272,3273,4248,3630,3972,11653,3337,3269,3297,3746,3292,4088,3980,3808,3279,3280,3260,3896,3316,3492,11048,11175,12449,12667,3367,4052,4590,10468,10634,11506,12606,12649,12653,4593,12618,3428,11985,11988,13272,13370,13445,13449,13453,13457,4009,4619,11227,11326,11562,11565,3402,3827,3345,3423,3539,3752,3531,4599,3506,12901,12950,12952,3331,3332,10535,10867,4608,3590,3371,12928,3324,3251,3353,11643,4190,12638,12785,4055,11247,11378,11437,12593,12599,12727,12730,12760,4640,11150,11391,11500,11526,11570,11576,12537,4641,11280,11394,11503,4642,11397,11448,4643,11455,4644,3352,3628,12493,12534,12617,3792,3578,4466,4467,3612,3649,3770,3729,3772,3938,3696,13156,13160,13164,13168,13178,3982,12484,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,12423,12764,13030,13071,13074,13119,13139,13391,13396,3872,11889,3421,3515,11714,12000,13499,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,12540,12642,12976,12995,12998,13022,13075,13254,13259,13284,13289,4623,11757,11790,11829,11836,11869,13084,13088,3859,3638,3639,13001,13004,13007,13010,13043,13046,13427,13431,13435,3641,4001,3601,13432,3602,13428,3465,3467,3440,4611,3330,3296,4587,3818,4115,3621,4626,4183,11523,3751,3477,12008,12011,12456,12562,12741,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,12518,12666,13448,4105,13452,4109,11253,12379,12455,12517,12561,13277,13415,4110,3793,11840,12170,12317,12387,12439,4142,3810,10600,10697,11250,11331,11410,11474,12338,12401,12672,12737,12757,12767,13245,13313,13318,13341,13362,13379,4627,10999,11402,12521,13326,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,12501,12565,12683,12733,13023,13049,13107,13131,13142,13147,13150,13153,13186,13197,13210,13265,13295,13298,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,12265,13040,13190,13213,13255,13260,13285,13290,3439,12426,12429,3511,12371,13104,13157,13161,13165,13169,13179,13183,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,12470,12568,12571,12676,12716,12813,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,12613,12816,13237,13366,13420,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,12397,12546,12590,12596,12695,12698,12723,12784,12790,12801,12804,12809,12823,13103,13123,13126,13224,13354,13373,13376,13424,13444,13478,3496,10864,10897,10906,10909,10912,11492,12717,12734,13085,13089,13092,13095,3535,13405,13470,3528,3942,3881,10514,11892,11920,13066,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,13301,3458,10900,11053,11123,11921,12072,12270,12475,12502,13116,13408,13498,3905,12014,13017,3644,4616,3916,4615,3950,4602,4605,4606,3413,3418,4604,4603,4353,4638,4400,3741,11885,4327,11740,4629,10763,10766,4639,11236,11239,11425,11536,11553,11599,4019,11596,11941,11945,12626,12634,12726,13241,13307,13335,3867,11166,11172,11190,12192,12322,12400,12691,3725,11306,11428,12432,12543,12553,12631,12686,12694,12820,13248,4188,3869,10903,11269,11434,11468,11479,12630,12680,12720,12770,13346,3586,3693,10816,10819,10915,11079,3692,4632,11886,4628,12985,4634,10656,10769,12496,12505,12549,12751,4280,11039,12514,12529,12552,4195,3904,12826,3846,3847,4630,10490,10493,10858,10861,11754,11946,12763,4631,11866,11951,3870,10822,11085,13395,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712,7738,7739,7771,7773,7774,7775,7781,7801,7818,7823,7829,7831,7839,7852,7853,7855,7877,7884,7907,7941,7977,7978,7979,8023,8029,8030,8049,8050,8067,8068,8069,8124,8125,8155,8187,8196,8211,8226,8256,8260,8266,8278,8296,8302,8323,8367,8396,8410,8430,8433,8456,8482,8538,8539,8542,8543,8610,8648,8649,8650,8651,8708,8738,8746,8747,8782,8802,8816,8848,8857,8908,8911,8928,8935,8978,9019,9020,9037,9038,9052,9163,9168,9172,9186,9197,9225,9227,9230,9236,9238,9239,9251,9252,9274,9282,9293,9301,9344,9346,9363,9425,9426,9428,9467,9495,9501,9534,9548,9550,9551,9555,9556,9571,9592,9605,9608,9621,9622,9623,9625,9664,9797,9798,9845,9846,9890,9925,9934,10020,10035,10089,10243,10262,10370,3,2774,2775,2780,2783,2784,2785,2788,2789,2790,2791,2793,2800,2802,2803,2804,2805,2806,2809,2810,2819,2820,2821,2828,2832,2833,2839,2841,2842,2844,2845,2846,2847,2849,2850,2851,2852,2853,2855,2856,2857,2858,2859,2868,2870,2871,2872,2873,2874,2875,2895,2897,2898,2906,2916,2917,2918,2919,2920,2921,2922,2923,2947,2948,2949,2970,2971,2975,2983,2986,2987,2989,2990,2992,2994,2999,3002,3003,3004,3012,3013,5351,5393,5544,5545,5546,5627,5728,5758,5792,5808,5810,5816,5878,5879,5880,5881,5898,5933,6070,6107,6117,6141,6175,6213,6220,6365,6370,6410,6411,6431,6433,6435,6442,6443,6444,6445,6446,6447,6448,6449,6531,6604,6605,6692,6729,6730,6769,6770,6908,6920,6975,6995,6996,7002,7024,7049,7057,7059,7064,7108,7128,7129,7147,7148,7184,7229,7230,7327,7392,7393,7394,7395,7412,7440,7492,7493,7501,7506,7507,7518,7548,7549,7550,7551,7693,7694,7696,7698,7704,7705,7779,7913,7916,7922,7923,7932,7936,7974,7975,8045,8083,8137,8160,8161,8242,8335,8406,8407,8411,8414,8442,8478,8504,8505,8571,8587,8588,8589,8590,8742,8996,8997,9066,9080,9133,9134,9241,9243,9286,9313,9347,9388,9590,9725,9881,10066,10110,10112,10388,5968,6137,6515,6516,6607,6623,6624,7048,7267,8582,8664,8698,8902,9090,9091,9156,9157,9341,9439,9440,9441,9442,9667,9955,9969,10351,10352,6589,8496,8497,8961,8979,9956,9964,10153,10350,4689,4698,4730,4731,4734,4774])).
% 199.34/199.33 cnf(13591,plain,
% 199.34/199.33 (~P1(f317(f317(f225(a1),f2(a1)),f2(a1)))),
% 199.34/199.33 inference(scs_inference,[],[3414,4078,12713,12738,12922,12924,12926,3667,11321,12382,12487,12490,12582,12623,12627,12635,12707,12851,12853,13308,13314,13319,13323,13329,13332,13359,13380,13475,13480,3677,12452,12914,12916,3684,3406,12884,12886,12888,3407,12936,3373,12795,4596,4597,11965,4347,12956,3410,12847,3250,3307,12895,3308,12880,3309,3310,3311,12663,12890,4595,3727,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,12448,12614,12677,12829,13120,13385,13392,3491,3456,12963,3636,12143,3357,4585,10637,10737,11201,11301,13035,13412,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3068,3069,3072,3077,3078,3079,3081,3082,3086,3087,3089,3098,3102,3104,3105,3115,3116,3117,3120,3123,3124,3129,3139,3152,3162,3163,3166,3167,3168,3180,3186,3191,3194,3195,3199,3200,3206,3207,3209,3210,3211,3219,3229,4576,3236,3306,4577,3766,3985,11903,3283,11607,3419,3394,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,12354,12558,12773,12831,12833,12840,12845,12866,12868,12870,12874,12903,12920,13173,13350,13479,13484,13500,3368,12648,12652,12656,3374,3383,3883,4176,3351,13238,3502,12710,12798,3272,3273,4248,3630,3972,11653,3337,3269,3297,3746,3292,4088,3980,3808,3279,3280,3260,3896,3316,3492,11048,11175,12449,12667,3367,4052,4590,10468,10634,11506,12606,12649,12653,4593,12618,3428,11985,11988,13272,13370,13445,13449,13453,13457,4009,4619,11227,11326,11562,11565,3402,3827,3345,3423,3539,3752,3531,4599,3506,12901,12950,12952,3331,3332,10535,10867,4608,3590,3371,12928,3324,3251,3353,11643,4190,12638,12785,4055,11247,11378,11437,12593,12599,12727,12730,12760,4640,11150,11391,11500,11526,11570,11576,12537,4641,11280,11394,11503,4642,11397,11448,4643,11455,4644,3352,3628,12493,12534,12617,3792,3578,4466,4467,3612,3649,3770,3729,3772,3938,3696,13156,13160,13164,13168,13178,3982,12484,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,12423,12764,13030,13071,13074,13119,13139,13391,13396,3872,11889,3421,3515,11714,12000,13499,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,12540,12642,12976,12995,12998,13022,13075,13254,13259,13284,13289,4623,11757,11790,11829,11836,11869,13084,13088,3859,3638,3639,13001,13004,13007,13010,13043,13046,13427,13431,13435,3641,4001,3601,13432,3602,13428,3465,3467,3440,4611,3330,3296,4587,3818,4115,3621,4626,4183,11523,3751,3477,12008,12011,12456,12562,12741,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,12518,12666,13448,4105,13452,4109,11253,12379,12455,12517,12561,13277,13415,4110,3793,11840,12170,12317,12387,12439,4142,3810,10600,10697,11250,11331,11410,11474,12338,12401,12672,12737,12757,12767,13245,13313,13318,13341,13362,13379,4627,10999,11402,12521,13326,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,12501,12565,12683,12733,13023,13049,13107,13131,13142,13147,13150,13153,13186,13197,13210,13265,13295,13298,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,12265,13040,13190,13213,13255,13260,13285,13290,3439,12426,12429,3511,12371,13104,13157,13161,13165,13169,13179,13183,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,12470,12568,12571,12676,12716,12813,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,12613,12816,13237,13366,13420,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,12397,12546,12590,12596,12695,12698,12723,12784,12790,12801,12804,12809,12823,13103,13123,13126,13224,13354,13373,13376,13424,13444,13478,3496,10864,10897,10906,10909,10912,11492,12717,12734,13085,13089,13092,13095,3535,13405,13470,3528,3942,3881,10514,11892,11920,13066,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,13301,3458,10900,11053,11123,11921,12072,12270,12475,12502,13116,13408,13498,3905,12014,13017,3644,4616,3916,4615,3950,4602,4605,4606,3413,3418,4604,4603,4353,4638,4400,3741,11885,4327,11740,4629,10763,10766,4639,11236,11239,11425,11536,11553,11599,4019,11596,11941,11945,12626,12634,12726,13241,13307,13335,3867,11166,11172,11190,12192,12322,12400,12691,3725,11306,11428,12432,12543,12553,12631,12686,12694,12820,13248,4188,3869,10903,11269,11434,11468,11479,12630,12680,12720,12770,13346,3586,3693,10816,10819,10915,11079,3692,4632,11886,4628,12985,4634,10656,10769,12496,12505,12549,12751,4280,11039,12514,12529,12552,4195,3904,12826,3846,3847,4630,10490,10493,10858,10861,11754,11946,12763,4631,11866,11951,3870,10822,11085,13395,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712,7738,7739,7771,7773,7774,7775,7781,7801,7818,7823,7829,7831,7839,7852,7853,7855,7877,7884,7907,7941,7977,7978,7979,8023,8029,8030,8049,8050,8067,8068,8069,8124,8125,8155,8187,8196,8211,8226,8256,8260,8266,8278,8296,8302,8323,8367,8396,8410,8430,8433,8456,8482,8538,8539,8542,8543,8610,8648,8649,8650,8651,8708,8738,8746,8747,8782,8802,8816,8848,8857,8908,8911,8928,8935,8978,9019,9020,9037,9038,9052,9163,9168,9172,9186,9197,9225,9227,9230,9236,9238,9239,9251,9252,9274,9282,9293,9301,9344,9346,9363,9425,9426,9428,9467,9495,9501,9534,9548,9550,9551,9555,9556,9571,9592,9605,9608,9621,9622,9623,9625,9664,9797,9798,9845,9846,9890,9925,9934,10020,10035,10089,10243,10262,10370,3,2774,2775,2780,2783,2784,2785,2788,2789,2790,2791,2793,2800,2802,2803,2804,2805,2806,2809,2810,2819,2820,2821,2828,2832,2833,2839,2841,2842,2844,2845,2846,2847,2849,2850,2851,2852,2853,2855,2856,2857,2858,2859,2868,2870,2871,2872,2873,2874,2875,2895,2897,2898,2906,2916,2917,2918,2919,2920,2921,2922,2923,2947,2948,2949,2970,2971,2975,2983,2986,2987,2989,2990,2992,2994,2999,3002,3003,3004,3012,3013,5351,5393,5544,5545,5546,5627,5728,5758,5792,5808,5810,5816,5878,5879,5880,5881,5898,5933,6070,6107,6117,6141,6175,6213,6220,6365,6370,6410,6411,6431,6433,6435,6442,6443,6444,6445,6446,6447,6448,6449,6531,6604,6605,6692,6729,6730,6769,6770,6908,6920,6975,6995,6996,7002,7024,7049,7057,7059,7064,7108,7128,7129,7147,7148,7184,7229,7230,7327,7392,7393,7394,7395,7412,7440,7492,7493,7501,7506,7507,7518,7548,7549,7550,7551,7693,7694,7696,7698,7704,7705,7779,7913,7916,7922,7923,7932,7936,7974,7975,8045,8083,8137,8160,8161,8242,8335,8406,8407,8411,8414,8442,8478,8504,8505,8571,8587,8588,8589,8590,8742,8996,8997,9066,9080,9133,9134,9241,9243,9286,9313,9347,9388,9590,9725,9881,10066,10110,10112,10388,5968,6137,6515,6516,6607,6623,6624,7048,7267,8582,8664,8698,8902,9090,9091,9156,9157,9341,9439,9440,9441,9442,9667,9955,9969,10351,10352,6589,8496,8497,8961,8979,9956,9964,10153,10350,4689,4698,4730,4731,4734,4774,4778,4783,4824,4919,4936,4961,4967,4968,4999,5003,5062,5065,5125,5256,5295,5296,5298,5305,5306,5330,5369,5401,5425,5561,5632,5633,5634,5697,5754])).
% 199.34/199.33 cnf(13593,plain,
% 199.34/199.33 (P1(f317(f317(f225(a1),f2(a1)),f317(f70(a1),f72(a1))))),
% 199.34/199.33 inference(scs_inference,[],[3414,4078,12713,12738,12922,12924,12926,3667,11321,12382,12487,12490,12582,12623,12627,12635,12707,12851,12853,13308,13314,13319,13323,13329,13332,13359,13380,13475,13480,3677,12452,12914,12916,3684,3406,12884,12886,12888,3407,12936,3373,12795,4596,4597,11965,4347,12956,3410,12847,3250,3307,12895,3308,12880,3309,3310,3311,12663,12890,4595,3727,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,12448,12614,12677,12829,13120,13385,13392,3491,3456,12963,3636,12143,3357,4585,10637,10737,11201,11301,13035,13412,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3068,3069,3072,3077,3078,3079,3081,3082,3086,3087,3089,3098,3102,3104,3105,3115,3116,3117,3120,3123,3124,3129,3139,3152,3162,3163,3166,3167,3168,3180,3186,3191,3194,3195,3199,3200,3206,3207,3209,3210,3211,3219,3229,4576,3236,3306,4577,3766,3985,11903,3283,11607,3419,3394,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,12354,12558,12773,12831,12833,12840,12845,12866,12868,12870,12874,12903,12920,13173,13350,13479,13484,13500,3368,12648,12652,12656,3374,3383,3883,4176,3351,13238,3502,12710,12798,3272,3273,4248,3630,3972,11653,3337,3269,3297,3746,3292,4088,3980,3808,3279,3280,3260,3896,3316,3492,11048,11175,12449,12667,3367,4052,4590,10468,10634,11506,12606,12649,12653,4593,12618,3428,11985,11988,13272,13370,13445,13449,13453,13457,4009,4619,11227,11326,11562,11565,3402,3827,3345,3423,3539,3752,3531,4599,3506,12901,12950,12952,3331,3332,10535,10867,4608,3590,3371,12928,3324,3251,3353,11643,4190,12638,12785,4055,11247,11378,11437,12593,12599,12727,12730,12760,4640,11150,11391,11500,11526,11570,11576,12537,4641,11280,11394,11503,4642,11397,11448,4643,11455,4644,3352,3628,12493,12534,12617,3792,3578,4466,4467,3612,3649,3770,3729,3772,3938,3696,13156,13160,13164,13168,13178,3982,12484,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,12423,12764,13030,13071,13074,13119,13139,13391,13396,3872,11889,3421,3515,11714,12000,13499,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,12540,12642,12976,12995,12998,13022,13075,13254,13259,13284,13289,4623,11757,11790,11829,11836,11869,13084,13088,3859,3638,3639,13001,13004,13007,13010,13043,13046,13427,13431,13435,3641,4001,3601,13432,3602,13428,3465,3467,3440,4611,3330,3296,4587,3818,4115,3621,4626,4183,11523,3751,3477,12008,12011,12456,12562,12741,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,12518,12666,13448,4105,13452,4109,11253,12379,12455,12517,12561,13277,13415,4110,3793,11840,12170,12317,12387,12439,4142,3810,10600,10697,11250,11331,11410,11474,12338,12401,12672,12737,12757,12767,13245,13313,13318,13341,13362,13379,4627,10999,11402,12521,13326,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,12501,12565,12683,12733,13023,13049,13107,13131,13142,13147,13150,13153,13186,13197,13210,13265,13295,13298,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,12265,13040,13190,13213,13255,13260,13285,13290,3439,12426,12429,3511,12371,13104,13157,13161,13165,13169,13179,13183,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,12470,12568,12571,12676,12716,12813,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,12613,12816,13237,13366,13420,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,12397,12546,12590,12596,12695,12698,12723,12784,12790,12801,12804,12809,12823,13103,13123,13126,13224,13354,13373,13376,13424,13444,13478,3496,10864,10897,10906,10909,10912,11492,12717,12734,13085,13089,13092,13095,3535,13405,13470,3528,3942,3881,10514,11892,11920,13066,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,13301,3458,10900,11053,11123,11921,12072,12270,12475,12502,13116,13408,13498,3905,12014,13017,3644,4616,3916,4615,3950,4602,4605,4606,3413,3418,4604,4603,4353,4638,4400,3741,11885,4327,11740,4629,10763,10766,4639,11236,11239,11425,11536,11553,11599,4019,11596,11941,11945,12626,12634,12726,13241,13307,13335,3867,11166,11172,11190,12192,12322,12400,12691,3725,11306,11428,12432,12543,12553,12631,12686,12694,12820,13248,4188,3869,10903,11269,11434,11468,11479,12630,12680,12720,12770,13346,3586,3693,10816,10819,10915,11079,3692,4632,11886,4628,12985,4634,10656,10769,12496,12505,12549,12751,4280,11039,12514,12529,12552,4195,3904,12826,3846,3847,4630,10490,10493,10858,10861,11754,11946,12763,4631,11866,11951,3870,10822,11085,13395,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712,7738,7739,7771,7773,7774,7775,7781,7801,7818,7823,7829,7831,7839,7852,7853,7855,7877,7884,7907,7941,7977,7978,7979,8023,8029,8030,8049,8050,8067,8068,8069,8124,8125,8155,8187,8196,8211,8226,8256,8260,8266,8278,8296,8302,8323,8367,8396,8410,8430,8433,8456,8482,8538,8539,8542,8543,8610,8648,8649,8650,8651,8708,8738,8746,8747,8782,8802,8816,8848,8857,8908,8911,8928,8935,8978,9019,9020,9037,9038,9052,9163,9168,9172,9186,9197,9225,9227,9230,9236,9238,9239,9251,9252,9274,9282,9293,9301,9344,9346,9363,9425,9426,9428,9467,9495,9501,9534,9548,9550,9551,9555,9556,9571,9592,9605,9608,9621,9622,9623,9625,9664,9797,9798,9845,9846,9890,9925,9934,10020,10035,10089,10243,10262,10370,3,2774,2775,2780,2783,2784,2785,2788,2789,2790,2791,2793,2800,2802,2803,2804,2805,2806,2809,2810,2819,2820,2821,2828,2832,2833,2839,2841,2842,2844,2845,2846,2847,2849,2850,2851,2852,2853,2855,2856,2857,2858,2859,2868,2870,2871,2872,2873,2874,2875,2895,2897,2898,2906,2916,2917,2918,2919,2920,2921,2922,2923,2947,2948,2949,2970,2971,2975,2983,2986,2987,2989,2990,2992,2994,2999,3002,3003,3004,3012,3013,5351,5393,5544,5545,5546,5627,5728,5758,5792,5808,5810,5816,5878,5879,5880,5881,5898,5933,6070,6107,6117,6141,6175,6213,6220,6365,6370,6410,6411,6431,6433,6435,6442,6443,6444,6445,6446,6447,6448,6449,6531,6604,6605,6692,6729,6730,6769,6770,6908,6920,6975,6995,6996,7002,7024,7049,7057,7059,7064,7108,7128,7129,7147,7148,7184,7229,7230,7327,7392,7393,7394,7395,7412,7440,7492,7493,7501,7506,7507,7518,7548,7549,7550,7551,7693,7694,7696,7698,7704,7705,7779,7913,7916,7922,7923,7932,7936,7974,7975,8045,8083,8137,8160,8161,8242,8335,8406,8407,8411,8414,8442,8478,8504,8505,8571,8587,8588,8589,8590,8742,8996,8997,9066,9080,9133,9134,9241,9243,9286,9313,9347,9388,9590,9725,9881,10066,10110,10112,10388,5968,6137,6515,6516,6607,6623,6624,7048,7267,8582,8664,8698,8902,9090,9091,9156,9157,9341,9439,9440,9441,9442,9667,9955,9969,10351,10352,6589,8496,8497,8961,8979,9956,9964,10153,10350,4689,4698,4730,4731,4734,4774,4778,4783,4824,4919,4936,4961,4967,4968,4999,5003,5062,5065,5125,5256,5295,5296,5298,5305,5306,5330,5369,5401,5425,5561,5632,5633,5634,5697,5754,5755])).
% 199.34/199.33 cnf(13617,plain,
% 199.34/199.33 (~P1(f317(f28(x136171),f31(f907(x136171,a897),f232(f907(f907(x136171,a897),a897)))))),
% 199.34/199.33 inference(scs_inference,[],[3414,4078,12713,12738,12922,12924,12926,3667,11321,12382,12487,12490,12582,12623,12627,12635,12707,12851,12853,13308,13314,13319,13323,13329,13332,13359,13380,13475,13480,3677,12452,12914,12916,3684,3406,12884,12886,12888,3407,12936,3373,12795,4596,4597,11965,4347,12956,3410,12847,3250,3307,12895,3308,12880,3309,3310,3311,12663,12890,4595,3727,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,12448,12614,12677,12829,13120,13385,13392,3491,3456,12963,3636,12143,3357,4585,10637,10737,11201,11301,13035,13412,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3068,3069,3072,3077,3078,3079,3081,3082,3086,3087,3089,3098,3102,3104,3105,3115,3116,3117,3120,3123,3124,3129,3139,3152,3162,3163,3166,3167,3168,3180,3186,3191,3194,3195,3199,3200,3206,3207,3209,3210,3211,3219,3229,4576,3236,3306,4577,3766,3985,11903,3283,11607,3419,3394,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,12354,12558,12773,12831,12833,12840,12845,12866,12868,12870,12874,12903,12920,13173,13350,13479,13484,13500,3368,12648,12652,12656,3374,3383,3883,4176,3351,13238,3502,12710,12798,3272,3273,4248,3630,3972,11653,3337,3269,3297,3746,3292,4088,3980,3808,3279,3280,3260,3896,3316,3492,11048,11175,12449,12667,3367,4052,4590,10468,10634,11506,12606,12649,12653,4593,12618,3428,11985,11988,13272,13370,13445,13449,13453,13457,4009,4619,11227,11326,11562,11565,3402,3827,3345,3423,3539,3752,3531,4599,3506,12901,12950,12952,3331,3332,10535,10867,4608,3590,3371,12928,3324,3251,3353,11643,4190,12638,12785,4055,11247,11378,11437,12593,12599,12727,12730,12760,4640,11150,11391,11500,11526,11570,11576,12537,4641,11280,11394,11503,4642,11397,11448,4643,11455,4644,3352,3628,12493,12534,12617,3792,3578,4466,4467,3612,3649,3770,3729,3772,3938,3696,13156,13160,13164,13168,13178,3982,12484,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,12423,12764,13030,13071,13074,13119,13139,13391,13396,3872,11889,3421,3515,11714,12000,13499,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,12540,12642,12976,12995,12998,13022,13075,13254,13259,13284,13289,4623,11757,11790,11829,11836,11869,13084,13088,3859,3638,3639,13001,13004,13007,13010,13043,13046,13427,13431,13435,3641,4001,3601,13432,3602,13428,3465,3467,3440,4611,3330,3296,4587,3818,4115,3621,4626,4183,11523,3751,3477,12008,12011,12456,12562,12741,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,12518,12666,13448,4105,13452,4109,11253,12379,12455,12517,12561,13277,13415,4110,3793,11840,12170,12317,12387,12439,4142,3810,10600,10697,11250,11331,11410,11474,12338,12401,12672,12737,12757,12767,13245,13313,13318,13341,13362,13379,4627,10999,11402,12521,13326,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,12501,12565,12683,12733,13023,13049,13107,13131,13142,13147,13150,13153,13186,13197,13210,13265,13295,13298,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,12265,13040,13190,13213,13255,13260,13285,13290,3439,12426,12429,3511,12371,13104,13157,13161,13165,13169,13179,13183,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,12470,12568,12571,12676,12716,12813,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,12613,12816,13237,13366,13420,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,12397,12546,12590,12596,12695,12698,12723,12784,12790,12801,12804,12809,12823,13103,13123,13126,13224,13354,13373,13376,13424,13444,13478,3496,10864,10897,10906,10909,10912,11492,12717,12734,13085,13089,13092,13095,3535,13405,13470,3528,3942,3881,10514,11892,11920,13066,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,13301,3458,10900,11053,11123,11921,12072,12270,12475,12502,13116,13408,13498,3905,12014,13017,3644,4616,3916,4615,3950,4602,4605,4606,3413,3418,4604,4603,4353,4638,4400,3741,11885,4327,11740,4629,10763,10766,4639,11236,11239,11425,11536,11553,11599,4019,11596,11941,11945,12626,12634,12726,13241,13307,13335,3867,11166,11172,11190,12192,12322,12400,12691,3725,11306,11428,12432,12543,12553,12631,12686,12694,12820,13248,4188,3869,10903,11269,11434,11468,11479,12630,12680,12720,12770,13346,3586,3693,10816,10819,10915,11079,3692,4632,11886,4628,12985,4634,10656,10769,12496,12505,12549,12751,4280,11039,12514,12529,12552,4195,3904,12826,3846,3847,4630,10490,10493,10858,10861,11754,11946,12763,4631,11866,11951,3870,10822,11085,13395,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712,7738,7739,7771,7773,7774,7775,7781,7801,7818,7823,7829,7831,7839,7852,7853,7855,7877,7884,7907,7941,7977,7978,7979,8023,8029,8030,8049,8050,8067,8068,8069,8124,8125,8155,8187,8196,8211,8226,8256,8260,8266,8278,8296,8302,8323,8367,8396,8410,8430,8433,8456,8482,8538,8539,8542,8543,8610,8648,8649,8650,8651,8708,8738,8746,8747,8782,8802,8816,8848,8857,8908,8911,8928,8935,8978,9019,9020,9037,9038,9052,9163,9168,9172,9186,9197,9225,9227,9230,9236,9238,9239,9251,9252,9274,9282,9293,9301,9344,9346,9363,9425,9426,9428,9467,9495,9501,9534,9548,9550,9551,9555,9556,9571,9592,9605,9608,9621,9622,9623,9625,9664,9797,9798,9845,9846,9890,9925,9934,10020,10035,10089,10243,10262,10370,3,2774,2775,2780,2783,2784,2785,2788,2789,2790,2791,2793,2800,2802,2803,2804,2805,2806,2809,2810,2819,2820,2821,2828,2832,2833,2839,2841,2842,2844,2845,2846,2847,2849,2850,2851,2852,2853,2855,2856,2857,2858,2859,2868,2870,2871,2872,2873,2874,2875,2895,2897,2898,2906,2916,2917,2918,2919,2920,2921,2922,2923,2947,2948,2949,2970,2971,2975,2983,2986,2987,2989,2990,2992,2994,2999,3002,3003,3004,3012,3013,5351,5393,5544,5545,5546,5627,5728,5758,5792,5808,5810,5816,5878,5879,5880,5881,5898,5933,6070,6107,6117,6141,6175,6213,6220,6365,6370,6410,6411,6431,6433,6435,6442,6443,6444,6445,6446,6447,6448,6449,6531,6604,6605,6692,6729,6730,6769,6770,6908,6920,6975,6995,6996,7002,7024,7049,7057,7059,7064,7108,7128,7129,7147,7148,7184,7229,7230,7327,7392,7393,7394,7395,7412,7440,7492,7493,7501,7506,7507,7518,7548,7549,7550,7551,7693,7694,7696,7698,7704,7705,7779,7913,7916,7922,7923,7932,7936,7974,7975,8045,8083,8137,8160,8161,8242,8335,8406,8407,8411,8414,8442,8478,8504,8505,8571,8587,8588,8589,8590,8742,8996,8997,9066,9080,9133,9134,9241,9243,9286,9313,9347,9388,9590,9725,9881,10066,10110,10112,10388,5968,6137,6515,6516,6607,6623,6624,7048,7267,8582,8664,8698,8902,9090,9091,9156,9157,9341,9439,9440,9441,9442,9667,9955,9969,10351,10352,6589,8496,8497,8961,8979,9956,9964,10153,10350,4689,4698,4730,4731,4734,4774,4778,4783,4824,4919,4936,4961,4967,4968,4999,5003,5062,5065,5125,5256,5295,5296,5298,5305,5306,5330,5369,5401,5425,5561,5632,5633,5634,5697,5754,5755,5781,5785,5844,5846,5855,5861,5949,6034,6139,6182,6242,6352])).
% 199.34/199.33 cnf(13651,plain,
% 199.34/199.33 (~P1(f317(f317(f224(f907(a1,a897)),f317(f300(a901,a1,f90(a1)),f294(a901,f2(a901),f2(a901)))),f317(f300(a901,a1,f90(a1)),f294(a901,f317(a102,f2(a901)),x136511))))),
% 199.34/199.33 inference(scs_inference,[],[3414,4078,12713,12738,12922,12924,12926,3667,11321,12382,12487,12490,12582,12623,12627,12635,12707,12851,12853,13308,13314,13319,13323,13329,13332,13359,13380,13475,13480,3677,12452,12914,12916,3684,3406,12884,12886,12888,3407,12936,3373,12795,4596,4597,11965,4347,12956,3410,12847,3250,3307,12895,3308,12880,3309,3310,3311,12663,12890,4595,3727,4579,10408,10418,10431,10442,10543,10548,10551,10653,10788,11098,11291,11294,11313,11316,11509,11610,11617,11631,11679,11682,11715,11730,11795,11856,11872,12171,12196,12210,12239,12245,12339,12448,12614,12677,12829,13120,13385,13392,3491,3456,12963,3636,12143,3357,4585,10637,10737,11201,11301,13035,13412,3049,3050,3054,3055,3058,3059,3061,3062,3063,3066,3067,3068,3069,3072,3077,3078,3079,3081,3082,3086,3087,3089,3098,3102,3104,3105,3115,3116,3117,3120,3123,3124,3129,3139,3152,3162,3163,3166,3167,3168,3180,3186,3191,3194,3195,3199,3200,3206,3207,3209,3210,3211,3219,3229,4576,3236,3306,4577,3766,3985,11903,3283,11607,3419,3394,3397,10477,10480,10572,10575,10894,11622,11625,11741,11782,11787,11898,12354,12558,12773,12831,12833,12840,12845,12866,12868,12870,12874,12903,12920,13173,13350,13479,13484,13500,3368,12648,12652,12656,3374,3383,3883,4176,3351,13238,3502,12710,12798,3272,3273,4248,3630,3972,11653,3337,3269,3297,3746,3292,4088,3980,3808,3279,3280,3260,3896,3316,3492,11048,11175,12449,12667,3367,4052,4590,10468,10634,11506,12606,12649,12653,4593,12618,3428,11985,11988,13272,13370,13445,13449,13453,13457,4009,4619,11227,11326,11562,11565,3402,3827,3345,3423,3539,3752,3531,4599,3506,12901,12950,12952,3331,3332,10535,10867,4608,3590,3371,12928,3324,3251,3353,11643,4190,12638,12785,4055,11247,11378,11437,12593,12599,12727,12730,12760,4640,11150,11391,11500,11526,11570,11576,12537,4641,11280,11394,11503,4642,11397,11448,4643,11455,4644,3352,3628,12493,12534,12617,3792,3578,4466,4467,3612,3649,3770,3729,3772,3938,3696,13156,13160,13164,13168,13178,3982,12484,3614,3862,3503,10556,10676,10754,10827,10830,10870,10973,11217,11833,12041,12087,12167,12232,12310,12345,12420,12423,12764,13030,13071,13074,13119,13139,13391,13396,3872,11889,3421,3515,11714,12000,13499,3690,4614,10445,10448,10474,10597,10772,10981,10996,11108,11548,11646,11832,12058,12063,12286,12289,12366,12540,12642,12976,12995,12998,13022,13075,13254,13259,13284,13289,4623,11757,11790,11829,11836,11869,13084,13088,3859,3638,3639,13001,13004,13007,13010,13043,13046,13427,13431,13435,3641,4001,3601,13432,3602,13428,3465,3467,3440,4611,3330,3296,4587,3818,4115,3621,4626,4183,11523,3751,3477,12008,12011,12456,12562,12741,4617,10436,10439,10605,10700,10719,10726,10749,10757,10760,10777,10966,11204,11417,11708,11804,11954,12076,12079,4154,4114,12508,4063,10885,12160,12518,12666,13448,4105,13452,4109,11253,12379,12455,12517,12561,13277,13415,4110,3793,11840,12170,12317,12387,12439,4142,3810,10600,10697,11250,11331,11410,11474,12338,12401,12672,12737,12757,12767,13245,13313,13318,13341,13362,13379,4627,10999,11402,12521,13326,3437,10565,10663,10813,10877,10955,11002,11005,11036,11056,11092,11130,11169,11957,12003,12140,12195,12213,12216,12219,12222,12394,12408,12411,12414,12417,12501,12565,12683,12733,13023,13049,13107,13131,13142,13147,13150,13153,13186,13197,13210,13265,13295,13298,3438,10592,10648,10882,10976,11095,11733,12038,12044,12055,12146,12157,12176,12181,12225,12248,12265,13040,13190,13213,13255,13260,13285,13290,3439,12426,12429,3511,12371,13104,13157,13161,13165,13169,13179,13183,4610,10485,10511,11020,11059,11068,11917,11938,12114,12117,12120,12123,12209,12228,12231,12244,12298,12301,12304,12307,12467,12470,12568,12571,12676,12716,12813,3585,10742,10833,11103,11147,11381,11384,11463,11545,11718,11968,12613,12816,13237,13366,13420,4621,11029,11139,11160,11163,11230,11233,11244,11347,11355,11369,11405,11422,11431,11471,11512,11517,11520,11539,11542,11579,11584,11587,11590,11593,11839,11982,12017,12292,12295,12329,12372,12397,12546,12590,12596,12695,12698,12723,12784,12790,12801,12804,12809,12823,13103,13123,13126,13224,13354,13373,13376,13424,13444,13478,3496,10864,10897,10906,10909,10912,11492,12717,12734,13085,13089,13092,13095,3535,13405,13470,3528,3942,3881,10514,11892,11920,13066,4618,10465,10852,10855,11350,11366,11855,11908,11942,11969,12073,12102,12105,12108,12111,12365,13301,3458,10900,11053,11123,11921,12072,12270,12475,12502,13116,13408,13498,3905,12014,13017,3644,4616,3916,4615,3950,4602,4605,4606,3413,3418,4604,4603,4353,4638,4400,3741,11885,4327,11740,4629,10763,10766,4639,11236,11239,11425,11536,11553,11599,4019,11596,11941,11945,12626,12634,12726,13241,13307,13335,3867,11166,11172,11190,12192,12322,12400,12691,3725,11306,11428,12432,12543,12553,12631,12686,12694,12820,13248,4188,3869,10903,11269,11434,11468,11479,12630,12680,12720,12770,13346,3586,3693,10816,10819,10915,11079,3692,4632,11886,4628,12985,4634,10656,10769,12496,12505,12549,12751,4280,11039,12514,12529,12552,4195,3904,12826,3846,3847,4630,10490,10493,10858,10861,11754,11946,12763,4631,11866,11951,3870,10822,11085,13395,3871,4129,4651,4677,4732,4736,4758,4773,4780,4782,4818,4823,4852,4858,4942,4969,4970,4985,5039,5040,5063,5064,5078,5082,5107,5113,5129,5133,5134,5135,5140,5141,5164,5189,5191,5192,5202,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5383,5386,5387,5388,5398,5400,5407,5408,5409,5415,5419,5420,5421,5430,5434,5435,5441,5454,5462,5475,5477,5485,5487,5488,5491,5495,5522,5536,5537,5552,5562,5584,5590,5614,5615,5618,5637,5645,5646,5651,5652,5662,5664,5679,5683,5692,5693,5695,5696,5712,5717,5726,5727,5738,5745,5759,5763,5766,5772,5773,5774,5777,5782,5818,5819,5822,5824,5826,5828,5829,5830,5832,5834,5836,5841,5848,5863,5877,5883,5884,5896,5907,5908,5915,5919,5921,5926,5934,5972,5987,5996,5999,6009,6012,6013,6014,6015,6016,6021,6026,6036,6042,6060,6064,6073,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6239,6241,6274,6275,6281,6284,6290,6294,6329,6331,6333,6335,6345,6347,6350,6356,6358,6363,6366,6374,6380,6383,6385,6386,6392,6415,6416,6417,6418,6419,6421,6427,6430,6464,6465,6468,6469,6470,6472,6473,6474,6475,6482,6517,6518,6527,6548,6549,6573,6575,6587,6588,6594,6620,6622,6639,6680,6682,6683,6739,6762,6805,6820,6828,6837,6838,6839,6840,6860,6861,6868,6875,6878,6880,6882,6883,6884,6886,6900,6911,6912,6913,6924,6978,6991,6993,7016,7017,7053,7060,7097,7127,7183,7211,7268,7289,7296,7299,7359,7369,7429,7431,7439,7448,7449,7450,7467,7471,7473,7519,7529,7532,7546,7593,7597,7600,7644,7645,7663,7730,7748,7772,7796,7807,7821,7832,7843,7844,7872,7874,7876,7888,7926,7939,7964,7987,8020,8047,8079,8117,8133,8135,8151,8152,8223,8235,8300,8324,8342,8369,8408,8409,8426,8463,8465,8467,8473,8489,8493,8508,8527,8535,8537,8548,8553,8557,8558,8559,8560,8561,8562,8581,8594,8595,8612,8614,8622,8623,8624,8625,8626,8644,8645,8646,8656,8669,8671,8682,8687,8689,8691,8692,8693,8700,8705,8713,8716,8734,8735,8744,8745,8753,8767,8780,8783,8803,8825,8828,8829,8836,8845,8846,8847,8867,8879,8889,8890,8891,8894,8917,8918,8931,8981,8992,8994,9010,9023,9024,9025,9035,9099,9130,9131,9132,9147,9160,9166,9188,9189,9265,9302,9308,9318,9319,9320,9328,9359,9375,9379,9383,9408,9409,9436,9504,9509,9512,9542,9543,9544,9572,9573,9587,9609,9615,9635,9665,9686,9695,9696,9697,9698,9711,9713,9718,9755,9756,9762,9763,9812,9813,9824,9825,9851,9869,9871,9872,9880,9889,9902,9930,9961,9963,9967,10012,10041,10051,10053,10057,10058,10059,10067,10068,10073,10087,10174,10271,10272,10273,10274,10368,10392,2,12,13,4664,4665,4683,4725,4726,4728,4751,4753,4754,4762,4807,4809,4857,4986,4987,5004,5028,5085,5086,5092,5093,5095,5097,5106,5109,5110,5118,5131,5132,5138,5152,5159,5160,5178,5183,5184,5185,5186,5190,5198,5201,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5412,5413,5422,5426,5427,5428,5429,5431,5432,5437,5438,5439,5440,5471,5472,5473,5481,5482,5483,5484,5528,5533,5535,5559,5569,5571,5572,5574,5575,5577,5578,5580,5589,5594,5596,5597,5598,5600,5602,5603,5604,5605,5606,5607,5616,5626,5629,5640,5656,5657,5660,5672,5675,5676,5677,5704,5714,5729,5730,5739,5740,5742,5744,5749,5784,5789,5791,5850,5885,5886,5900,5906,5909,5910,5911,5912,5931,5935,5936,5945,5967,6001,6019,6020,6024,6025,6027,6050,6054,6057,6058,6059,6075,6086,6087,6118,6119,6123,6144,6147,6150,6167,6171,6172,6200,6203,6212,6221,6223,6232,6238,6246,6247,6248,6249,6277,6278,6295,6349,6387,6388,6389,6412,6413,6420,6424,6425,6428,6440,6456,6477,6478,6483,6494,6497,6510,6530,6536,6538,6553,6554,6556,6557,6559,6561,6562,6563,6565,6567,6574,6580,6581,6583,6584,6590,6592,6632,6638,6653,6657,6658,6659,6693,6698,6700,6705,6706,6716,6720,6734,6757,6758,6760,6761,6772,6777,6797,6800,6821,6841,6854,6855,6856,6862,6871,6890,6892,6894,6896,6901,6907,6909,6921,6926,6927,6963,6964,6965,6982,6983,6985,6986,7006,7008,7023,7051,7075,7086,7088,7090,7092,7093,7124,7125,7126,7130,7131,7139,7141,7142,7143,7165,7174,7175,7185,7195,7235,7245,7251,7258,7269,7274,7276,7283,7303,7320,7341,7343,7362,7413,7414,7415,7417,7420,7424,7425,7430,7487,7515,7530,7545,7576,7580,7603,7628,7646,7649,7650,7660,7679,7681,7683,7685,7686,7687,7688,7689,7712,7738,7739,7771,7773,7774,7775,7781,7801,7818,7823,7829,7831,7839,7852,7853,7855,7877,7884,7907,7941,7977,7978,7979,8023,8029,8030,8049,8050,8067,8068,8069,8124,8125,8155,8187,8196,8211,8226,8256,8260,8266,8278,8296,8302,8323,8367,8396,8410,8430,8433,8456,8482,8538,8539,8542,8543,8610,8648,8649,8650,8651,8708,8738,8746,8747,8782,8802,8816,8848,8857,8908,8911,8928,8935,8978,9019,9020,9037,9038,9052,9163,9168,9172,9186,9197,9225,9227,9230,9236,9238,9239,9251,9252,9274,9282,9293,9301,9344,9346,9363,9425,9426,9428,9467,9495,9501,9534,9548,9550,9551,9555,9556,9571,9592,9605,9608,9621,9622,9623,9625,9664,9797,9798,9845,9846,9890,9925,9934,10020,10035,10089,10243,10262,10370,3,2774,2775,2780,2783,2784,2785,2788,2789,2790,2791,2793,2800,2802,2803,2804,2805,2806,2809,2810,2819,2820,2821,2828,2832,2833,2839,2841,2842,2844,2845,2846,2847,2849,2850,2851,2852,2853,2855,2856,2857,2858,2859,2868,2870,2871,2872,2873,2874,2875,2895,2897,2898,2906,2916,2917,2918,2919,2920,2921,2922,2923,2947,2948,2949,2970,2971,2975,2983,2986,2987,2989,2990,2992,2994,2999,3002,3003,3004,3012,3013,5351,5393,5544,5545,5546,5627,5728,5758,5792,5808,5810,5816,5878,5879,5880,5881,5898,5933,6070,6107,6117,6141,6175,6213,6220,6365,6370,6410,6411,6431,6433,6435,6442,6443,6444,6445,6446,6447,6448,6449,6531,6604,6605,6692,6729,6730,6769,6770,6908,6920,6975,6995,6996,7002,7024,7049,7057,7059,7064,7108,7128,7129,7147,7148,7184,7229,7230,7327,7392,7393,7394,7395,7412,7440,7492,7493,7501,7506,7507,7518,7548,7549,7550,7551,7693,7694,7696,7698,7704,7705,7779,7913,7916,7922,7923,7932,7936,7974,7975,8045,8083,8137,8160,8161,8242,8335,8406,8407,8411,8414,8442,8478,8504,8505,8571,8587,8588,8589,8590,8742,8996,8997,9066,9080,9133,9134,9241,9243,9286,9313,9347,9388,9590,9725,9881,10066,10110,10112,10388,5968,6137,6515,6516,6607,6623,6624,7048,7267,8582,8664,8698,8902,9090,9091,9156,9157,9341,9439,9440,9441,9442,9667,9955,9969,10351,10352,6589,8496,8497,8961,8979,9956,9964,10153,10350,4689,4698,4730,4731,4734,4774,4778,4783,4824,4919,4936,4961,4967,4968,4999,5003,5062,5065,5125,5256,5295,5296,5298,5305,5306,5330,5369,5401,5425,5561,5632,5633,5634,5697,5754,5755,5781,5785,5844,5846,5855,5861,5949,6034,6139,6182,6242,6352,6476,6636,6674,6849,7103,7196,7272,7494,7555,7893,7894,8022,8134,8827,8959,9063,9159])).
% 199.34/199.33 cnf(13763,plain,
% 199.34/199.33 (~P1(f317(f317(f319(x137631),x137632),f317(f274(x137633,x137631,x137634),f317(f274(x137635,x137633,x137636),f179(f907(x137635,a897))))))),
% 199.34/199.33 inference(rename_variables,[],[11514])).
% 199.34/199.33 cnf(13766,plain,
% 199.34/199.33 (~P1(f317(f317(f319(x137661),x137662),f317(f301(x137661,x137663,x137664),f179(f907(x137663,a897)))))),
% 199.34/199.33 inference(rename_variables,[],[11162])).
% 199.34/199.33 cnf(13773,plain,
% 199.34/199.33 (E(f317(x137731,f317(f85(x137732,x137733,f232(f907(x137732,a897)),x137731),f317(x137731,x137734))),f317(x137731,x137734))),
% 199.34/199.33 inference(rename_variables,[],[11303])).
% 199.34/199.33 cnf(13783,plain,
% 199.34/199.33 (P1(f317(f317(f225(a1),x137831),f317(f317(f74(a1),x137831),f72(a1))))),
% 199.34/199.33 inference(rename_variables,[],[11094])).
% 199.34/199.33 cnf(13786,plain,
% 199.34/199.33 (P1(f317(f317(f225(a1),x137861),f317(f317(f74(a1),x137861),f72(a1))))),
% 199.34/199.33 inference(rename_variables,[],[11094])).
% 199.34/199.33 cnf(13791,plain,
% 199.34/199.33 (~P1(f317(f317(f225(a901),x137911),f317(f180(f902(x137912)),f103(x137912))))),
% 199.34/199.33 inference(rename_variables,[],[12783])).
% 199.34/199.33 cnf(13804,plain,
% 199.34/199.33 (E(f317(x138041,f317(f85(x138042,x138043,f232(f907(x138042,a897)),x138041),f317(x138041,x138044))),f317(x138041,x138044))),
% 199.34/199.33 inference(rename_variables,[],[11303])).
% 199.34/199.33 cnf(13823,plain,
% 199.34/199.33 (~P1(f317(f317(f319(x138231),x138232),f317(f274(x138233,x138231,x138234),f317(f274(x138235,x138233,x138236),f179(f907(x138235,a897))))))),
% 199.34/199.33 inference(rename_variables,[],[11514])).
% 199.34/199.33 cnf(13826,plain,
% 199.34/199.33 (E(f317(x138261,f317(f85(x138262,x138263,f232(f907(x138262,a897)),x138261),f317(x138261,x138264))),f317(x138261,x138264))),
% 199.34/199.33 inference(rename_variables,[],[11303])).
% 199.34/199.33 cnf(13832,plain,
% 199.34/199.33 (E(f317(x138321,f317(f85(x138322,x138323,f232(f907(x138322,a897)),x138321),f317(x138321,x138324))),f317(x138321,x138324))),
% 199.34/199.33 inference(rename_variables,[],[11303])).
% 199.34/199.33 cnf(13835,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x138351,x138352)),x138353),f317(f300(f906(x138354,x138354),f906(x138351,x138352),f248(x138354,x138351,x138354,x138352,x138355,x138356)),f143(x138354,f103(f907(x138354,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[11598])).
% 199.34/199.33 cnf(13838,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x138381,x138382)),x138383),f317(f300(f906(x138384,x138384),f906(x138381,x138382),f248(x138384,x138381,x138384,x138382,x138385,x138386)),f143(x138384,f103(f907(x138384,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[11598])).
% 199.34/199.33 cnf(13841,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x138411,x138412)),x138413),f317(f300(f906(x138414,x138414),f906(x138411,x138412),f248(x138414,x138411,x138414,x138412,x138415,x138416)),f143(x138414,f103(f907(x138414,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[11598])).
% 199.34/199.33 cnf(13844,plain,
% 199.34/199.33 (~P1(f317(f317(f319(x138441),x138442),f317(f274(x138443,x138441,x138444),f317(f274(x138445,x138443,x138446),f179(f907(x138445,a897))))))),
% 199.34/199.33 inference(rename_variables,[],[11514])).
% 199.34/199.33 cnf(13847,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x138471,x138472)),x138473),f317(f300(f906(x138474,x138474),f906(x138471,x138472),f248(x138474,x138471,x138474,x138472,x138475,x138476)),f143(x138474,f103(f907(x138474,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[11598])).
% 199.34/199.33 cnf(13850,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x138501,x138502)),x138503),f317(f300(f906(x138504,x138504),f906(x138501,x138502),f248(x138504,x138501,x138504,x138502,x138505,x138506)),f143(x138504,f103(f907(x138504,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[11598])).
% 199.34/199.33 cnf(13853,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x138531,x138532)),x138533),f317(f300(f906(x138534,x138534),f906(x138531,x138532),f248(x138534,x138531,x138534,x138532,x138535,x138536)),f143(x138534,f103(f907(x138534,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[11598])).
% 199.34/199.33 cnf(13856,plain,
% 199.34/199.33 (~P1(f317(f317(f319(x138561),x138562),f317(f274(x138563,x138561,x138564),f317(f274(x138565,x138563,x138566),f179(f907(x138565,a897))))))),
% 199.34/199.33 inference(rename_variables,[],[11514])).
% 199.34/199.33 cnf(13859,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x138591,x138591)),x138592),f253(x138591,f179(f907(x138591,a897)))))),
% 199.34/199.33 inference(rename_variables,[],[11159])).
% 199.34/199.33 cnf(13862,plain,
% 199.34/199.33 (E(f317(x138621,f317(f85(x138622,x138623,f232(f907(x138622,a897)),x138621),f317(x138621,x138624))),f317(x138621,x138624))),
% 199.34/199.33 inference(rename_variables,[],[11303])).
% 199.34/199.33 cnf(13870,plain,
% 199.34/199.33 (~P1(f317(f317(f225(a901),x138701),f317(f180(f902(x138702)),f103(x138702))))),
% 199.34/199.33 inference(rename_variables,[],[12783])).
% 199.34/199.33 cnf(13884,plain,
% 199.34/199.33 (~E(f317(f248(x138841,x138842,x138843,x138843,f300(x138844,f907(x138844,a897),x138845),f25(x138843)),x138846),f317(f248(x138841,x138842,x138843,x138843,f298(x138844),f25(x138843)),x138846))),
% 199.34/199.33 inference(rename_variables,[],[11561])).
% 199.34/199.33 cnf(13887,plain,
% 199.34/199.33 (~P1(f317(f317(f319(x138871),x138872),f317(f274(x138873,x138871,x138874),f317(f274(x138875,x138873,x138876),f179(f907(x138875,a897))))))),
% 199.34/199.33 inference(rename_variables,[],[11514])).
% 199.34/199.33 cnf(13896,plain,
% 199.34/199.33 (~P1(f317(f317(f224(a901),f317(f317(f74(a901),f317(a102,x138961)),x138962)),x138962))),
% 199.34/199.33 inference(rename_variables,[],[13226])).
% 199.34/199.33 cnf(13904,plain,
% 199.34/199.33 (E(f317(f73(f907(x139041,a897)),f317(f73(f907(x139041,a897)),x139042)),x139042)),
% 199.34/199.33 inference(rename_variables,[],[3561])).
% 199.34/199.33 cnf(13907,plain,
% 199.34/199.33 (~E(f317(f158(x139071),f317(f317(f141(x139071),x139072),x139073)),f103(x139071))),
% 199.34/199.33 inference(rename_variables,[],[10667])).
% 199.34/199.33 cnf(13912,plain,
% 199.34/199.33 (~E(f317(f317(f141(x139121),x139122),x139123),f317(f158(x139121),f103(x139121)))),
% 199.34/199.33 inference(rename_variables,[],[13533])).
% 199.34/199.33 cnf(13915,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(f902(x139151),f902(x139151))),f317(f317(f242(f902(x139151),f902(x139151)),x139152),x139153)),f147(x139151,f143(x139151,f103(f907(x139151,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[11552])).
% 199.34/199.33 cnf(13922,plain,
% 199.34/199.33 (E(f317(f317(f144(x139221,x139221),f7(x139221)),x139222),x139222)),
% 199.34/199.33 inference(rename_variables,[],[3452])).
% 199.34/199.33 cnf(13925,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x139251,x139251)),x139252),f143(x139251,f103(f907(x139251,a901)))))),
% 199.34/199.33 inference(rename_variables,[],[12353])).
% 199.34/199.33 cnf(13936,plain,
% 199.34/199.33 (P1(f317(f317(f224(a901),x139361),f317(f317(f74(a901),x139362),x139361)))),
% 199.34/199.33 inference(rename_variables,[],[3691])).
% 199.34/199.33 cnf(13939,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(f902(x139391),f902(x139391))),f317(f317(f242(f902(x139391),f902(x139391)),x139392),f103(x139391))),f317(f275(f902(x139391),f902(x139391)),f147(x139391,x139393))))),
% 199.34/199.33 inference(rename_variables,[],[11447])).
% 199.34/199.33 cnf(13944,plain,
% 199.34/199.33 (P1(f317(f317(f224(f907(x139441,a897)),f317(f162(x139441),f317(f317(f128(x139441),x139442),x139443))),f317(f162(x139441),x139443)))),
% 199.34/199.33 inference(rename_variables,[],[4106])).
% 199.34/199.33 cnf(13947,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x139471,x139471)),x139472),f253(x139471,f179(f907(x139471,a897)))))),
% 199.34/199.33 inference(rename_variables,[],[11159])).
% 199.34/199.33 cnf(13950,plain,
% 199.34/199.33 (E(f317(f73(f907(x139501,a897)),f317(f73(f907(x139501,a897)),x139502)),x139502)),
% 199.34/199.33 inference(rename_variables,[],[3561])).
% 199.34/199.33 cnf(13953,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x139531,x139532)),x139533),f317(f300(f906(x139534,x139534),f906(x139531,x139532),f248(x139534,x139531,x139534,x139532,x139535,x139536)),f143(x139534,f103(f907(x139534,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[11598])).
% 199.34/199.33 cnf(13956,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x139561,x139561)),x139562),f253(x139561,f179(f907(x139561,a897)))))),
% 199.34/199.33 inference(rename_variables,[],[11159])).
% 199.34/199.33 cnf(13959,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x139591,x139592)),x139593),f317(f300(f906(x139594,x139594),f906(x139591,x139592),f248(x139594,x139591,x139594,x139592,x139595,x139596)),f143(x139594,f103(f907(x139594,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[11598])).
% 199.34/199.33 cnf(13965,plain,
% 199.34/199.33 (P1(f317(f317(f225(a1),f317(f317(f3(a1),x139651),f72(a1))),x139651))),
% 199.34/199.33 inference(rename_variables,[],[10975])).
% 199.34/199.33 cnf(13975,plain,
% 199.34/199.33 (P1(f317(f317(f224(f907(x139751,a897)),f317(f317(f3(f907(x139751,a897)),x139752),x139753)),x139752))),
% 199.34/199.33 inference(rename_variables,[],[4128])).
% 199.34/199.33 cnf(13987,plain,
% 199.34/199.33 (E(f317(x139871,f317(f85(x139872,x139873,f232(f907(x139872,a897)),x139871),f317(x139871,x139874))),f317(x139871,x139874))),
% 199.34/199.33 inference(rename_variables,[],[11303])).
% 199.34/199.33 cnf(13996,plain,
% 199.34/199.33 (~P1(f317(f317(f162(x139961),f317(f126(x139961,x139962),f103(x139961))),x139963))),
% 199.34/199.33 inference(rename_variables,[],[12159])).
% 199.34/199.33 cnf(13999,plain,
% 199.34/199.33 (~E(f317(f317(f141(x139991),x139992),x139993),f317(f158(x139991),f103(x139991)))),
% 199.34/199.33 inference(rename_variables,[],[13533])).
% 199.34/199.33 cnf(14008,plain,
% 199.34/199.33 (P1(f317(f317(f225(a1),f317(f317(f3(a1),x140081),f72(a1))),x140081))),
% 199.34/199.33 inference(rename_variables,[],[10975])).
% 199.34/199.33 cnf(14013,plain,
% 199.34/199.33 (P1(f317(f317(f225(a1),f317(f317(f3(a1),x140131),f72(a1))),x140131))),
% 199.34/199.33 inference(rename_variables,[],[10975])).
% 199.34/199.33 cnf(14018,plain,
% 199.34/199.33 (~P1(f317(f317(f224(f907(x140181,a897)),f232(f907(x140181,a897))),f179(f907(x140181,a897))))),
% 199.34/199.33 inference(rename_variables,[],[12520])).
% 199.34/199.33 cnf(14021,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(f907(x140211,a897),f907(x140211,a897))),f317(f317(f242(f907(x140211,a897),f907(x140211,a897)),x140212),f179(f907(x140211,a897)))),f304(x140211)))),
% 199.34/199.33 inference(rename_variables,[],[11460])).
% 199.34/199.33 cnf(14024,plain,
% 199.34/199.33 (P1(f317(f317(f224(f907(x140241,a897)),x140242),f317(f317(f91(f907(x140241,a897)),x140243),x140242)))),
% 199.34/199.33 inference(rename_variables,[],[4006])).
% 199.34/199.33 cnf(14040,plain,
% 199.34/199.33 (E(f317(x140401,f317(f85(x140402,x140403,f232(f907(x140402,a897)),x140401),f317(x140401,x140404))),f317(x140401,x140404))),
% 199.34/199.33 inference(rename_variables,[],[11303])).
% 199.34/199.33 cnf(14043,plain,
% 199.34/199.33 (~E(f232(f907(x140431,a897)),f179(f907(x140431,a897)))),
% 199.34/199.33 inference(rename_variables,[],[4591])).
% 199.34/199.33 cnf(14046,plain,
% 199.34/199.33 (P1(f317(f317(f224(f907(x140461,a897)),f317(f274(x140462,x140461,f179(f907(f906(x140462,x140461),a897))),x140463)),x140464))),
% 199.34/199.33 inference(rename_variables,[],[11433])).
% 199.34/199.33 cnf(14049,plain,
% 199.34/199.33 (P1(f317(f317(f224(f907(x140491,a897)),x140492),f317(f317(f91(f907(x140491,a897)),x140493),x140492)))),
% 199.34/199.33 inference(rename_variables,[],[4006])).
% 199.34/199.33 cnf(14052,plain,
% 199.34/199.33 (~E(f317(f317(f141(x140521),x140522),f317(f317(f124(x140521),f104(x140521,f103(x140521))),x140523)),x140523)),
% 199.34/199.33 inference(rename_variables,[],[11771])).
% 199.34/199.33 cnf(14073,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(f902(x140731),f902(x140731))),f317(f317(f242(f902(x140731),f902(x140731)),f103(x140731)),x140732)),f317(f275(f902(x140731),f902(x140731)),f135(x140731,x140733))))),
% 199.34/199.33 inference(rename_variables,[],[11399])).
% 199.34/199.33 cnf(14084,plain,
% 199.34/199.33 (~P1(f317(f317(f225(a901),x140841),f317(f180(f902(x140842)),f103(x140842))))),
% 199.34/199.33 inference(rename_variables,[],[12783])).
% 199.34/199.33 cnf(14087,plain,
% 199.34/199.33 (~P1(f317(f317(f162(x140871),f317(f126(x140871,x140872),f103(x140871))),x140873))),
% 199.34/199.33 inference(rename_variables,[],[12159])).
% 199.34/199.33 cnf(14094,plain,
% 199.34/199.33 (~P1(f317(f317(f162(x140941),f317(f126(x140941,x140942),f103(x140941))),x140943))),
% 199.34/199.33 inference(rename_variables,[],[12159])).
% 199.34/199.33 cnf(14097,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(f902(x140971),f902(x140971))),f317(f317(f242(f902(x140971),f902(x140971)),x140972),x140973)),f147(x140971,f143(x140971,f103(f907(x140971,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[11552])).
% 199.34/199.33 cnf(14107,plain,
% 199.34/199.33 (~E(f317(f317(f299(x141071),x141072),x141073),f179(f907(x141071,a897)))),
% 199.34/199.33 inference(rename_variables,[],[4599])).
% 199.34/199.33 cnf(14119,plain,
% 199.34/199.33 (~P1(f317(f317(f224(a901),f317(f317(f74(a901),f317(a102,x141191)),x141192)),x141192))),
% 199.34/199.33 inference(rename_variables,[],[13226])).
% 199.34/199.33 cnf(14133,plain,
% 199.34/199.33 (P1(f317(f317(f224(f907(x141331,a897)),f317(f317(f3(f907(x141331,a897)),x141332),x141333)),x141332))),
% 199.34/199.33 inference(rename_variables,[],[4128])).
% 199.34/199.33 cnf(14136,plain,
% 199.34/199.33 (~P1(f317(f317(f162(x141361),f317(f126(x141361,x141362),f103(x141361))),x141363))),
% 199.34/199.33 inference(rename_variables,[],[12159])).
% 199.34/199.33 cnf(14141,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x141411,x141412)),x141413),f317(f300(f906(x141414,x141414),f906(x141411,x141412),f248(x141414,x141411,x141414,x141412,x141415,x141416)),f143(x141414,f103(f907(x141414,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[11598])).
% 199.34/199.33 cnf(14144,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x141441,x141441)),x141442),f253(x141441,f179(f907(x141441,a897)))))),
% 199.34/199.33 inference(rename_variables,[],[11159])).
% 199.34/199.33 cnf(14147,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(f902(x141471),f902(x141471))),f317(f317(f242(f902(x141471),f902(x141471)),x141472),f103(x141471))),f317(f275(f902(x141471),f902(x141471)),f147(x141471,x141473))))),
% 199.34/199.33 inference(rename_variables,[],[11447])).
% 199.34/199.33 cnf(14152,plain,
% 199.34/199.33 (~P31(x141521,x141522,x141523,f317(f317(f144(x141524,x141521),x141525),f317(a102,f103(x141524))),f103(x141522))),
% 199.34/199.33 inference(rename_variables,[],[11439])).
% 199.34/199.33 cnf(14155,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(f902(x141551),f902(x141551))),f317(f317(f242(f902(x141551),f902(x141551)),x141552),x141553)),f147(x141551,f143(x141551,f103(f907(x141551,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[11552])).
% 199.34/199.33 cnf(14164,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(f902(x141641),f902(x141641))),f317(f317(f242(f902(x141641),f902(x141641)),x141642),x141643)),f147(x141641,f143(x141641,f103(f907(x141641,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[11552])).
% 199.34/199.33 cnf(14167,plain,
% 199.34/199.33 (P1(f317(f317(f224(a901),x141671),f317(f317(f74(a901),x141672),x141671)))),
% 199.34/199.33 inference(rename_variables,[],[3691])).
% 199.34/199.33 cnf(14192,plain,
% 199.34/199.33 (E(f317(f73(f907(x141921,a897)),f317(f73(f907(x141921,a897)),x141922)),x141922)),
% 199.34/199.33 inference(rename_variables,[],[3561])).
% 199.34/199.33 cnf(14195,plain,
% 199.34/199.33 (~E(f232(f907(x141951,a897)),f179(f907(x141951,a897)))),
% 199.34/199.33 inference(rename_variables,[],[4591])).
% 199.34/199.33 cnf(14198,plain,
% 199.34/199.33 (~P1(f317(f317(f245(x141981,x141982,a897,f317(f162(x141983),f103(x141983))),x141984),x141985))),
% 199.34/199.33 inference(rename_variables,[],[11416])).
% 199.34/199.33 cnf(14205,plain,
% 199.34/199.33 (P1(f317(f317(f224(a901),x142051),f317(f317(f74(a901),x142052),x142051)))),
% 199.34/199.33 inference(rename_variables,[],[3691])).
% 199.34/199.33 cnf(14210,plain,
% 199.34/199.33 (E(f317(x142101,f317(f85(x142102,x142103,f232(f907(x142102,a897)),x142101),f317(x142101,x142104))),f317(x142101,x142104))),
% 199.34/199.33 inference(rename_variables,[],[11303])).
% 199.34/199.33 cnf(14218,plain,
% 199.34/199.33 (~P1(f317(f317(f162(x142181),f317(f126(x142181,x142182),f103(x142181))),x142183))),
% 199.34/199.33 inference(rename_variables,[],[12159])).
% 199.34/199.33 cnf(14225,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x142251,x142252)),x142253),f317(f300(f906(x142254,x142254),f906(x142251,x142252),f248(x142254,x142251,x142254,x142252,x142255,x142256)),f143(x142254,f103(f907(x142254,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[11598])).
% 199.34/199.33 cnf(14228,plain,
% 199.34/199.33 (P1(f317(f317(f224(f907(x142281,a897)),f317(f317(f3(f907(x142281,a897)),x142282),x142283)),x142282))),
% 199.34/199.33 inference(rename_variables,[],[4128])).
% 199.34/199.33 cnf(14233,plain,
% 199.34/199.33 (~P1(f317(f317(f61(f902(x142331),f902(x142331),f135(x142331,x142332)),x142333),f103(x142331)))),
% 199.34/199.33 inference(rename_variables,[],[11277])).
% 199.34/199.33 cnf(14242,plain,
% 199.34/199.33 (P1(f317(f317(f225(a1),f317(f317(f3(a1),x142421),f72(a1))),x142421))),
% 199.34/199.33 inference(rename_variables,[],[10975])).
% 199.34/199.33 cnf(14247,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(f902(x142471),f902(x142471))),f317(f317(f242(f902(x142471),f902(x142471)),x142472),x142473)),f147(x142471,f143(x142471,f103(f907(x142471,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[11552])).
% 199.34/199.33 cnf(14258,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(f902(x142581),f902(x142581))),f317(f317(f242(f902(x142581),f902(x142581)),f103(x142581)),x142582)),f317(f275(f902(x142581),f902(x142581)),f135(x142581,x142583))))),
% 199.34/199.33 inference(rename_variables,[],[11399])).
% 199.34/199.33 cnf(14261,plain,
% 199.34/199.33 (~P1(f317(f317(f319(x142611),x142612),f317(f274(x142613,x142611,x142614),f317(f274(x142615,x142613,x142616),f179(f907(x142615,a897))))))),
% 199.34/199.33 inference(rename_variables,[],[11514])).
% 199.34/199.33 cnf(14267,plain,
% 199.34/199.33 (P1(f317(f317(f224(f907(x142671,a897)),f317(f317(f3(f907(x142671,a897)),x142672),x142673)),x142672))),
% 199.34/199.33 inference(rename_variables,[],[4128])).
% 199.34/199.33 cnf(14276,plain,
% 199.34/199.33 (~P1(f317(f317(f162(x142761),f317(f126(x142761,x142762),f103(x142761))),x142763))),
% 199.34/199.33 inference(rename_variables,[],[12159])).
% 199.34/199.33 cnf(14281,plain,
% 199.34/199.33 (~P1(f317(f317(f61(f902(x142811),f902(x142811),f135(x142811,x142812)),x142813),f103(x142811)))),
% 199.34/199.33 inference(rename_variables,[],[11277])).
% 199.34/199.33 cnf(14286,plain,
% 199.34/199.33 (P1(f317(f317(f224(a901),x142861),f317(f317(f74(a901),x142862),x142861)))),
% 199.34/199.33 inference(rename_variables,[],[3691])).
% 199.34/199.33 cnf(14298,plain,
% 199.34/199.33 (~P1(f317(f317(f225(a901),f317(f246(x142981,x142982),f317(f317(f242(x142981,x142982),a909),x142983))),x142983))),
% 199.34/199.33 inference(rename_variables,[],[12466])).
% 199.34/199.33 cnf(14301,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x143011,x143011)),x143012),f253(x143011,f179(f907(x143011,a897)))))),
% 199.34/199.33 inference(rename_variables,[],[11159])).
% 199.34/199.33 cnf(14304,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(f902(x143041),f902(x143041))),f317(f317(f242(f902(x143041),f902(x143041)),x143042),x143043)),f147(x143041,f143(x143041,f103(f907(x143041,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[11552])).
% 199.34/199.33 cnf(14315,plain,
% 199.34/199.33 (P1(f317(f317(f224(a1),f40(a901,x143151,f179(a901))),x143151))),
% 199.34/199.33 inference(rename_variables,[],[12037])).
% 199.34/199.33 cnf(14320,plain,
% 199.34/199.33 (P1(f317(f317(f224(f907(x143201,a897)),f317(f317(f3(f907(x143201,a897)),x143202),x143203)),x143202))),
% 199.34/199.33 inference(rename_variables,[],[4128])).
% 199.34/199.33 cnf(14323,plain,
% 199.34/199.33 (~E(x143231,f317(f317(f141(x143232),x143233),x143231))),
% 199.34/199.33 inference(rename_variables,[],[11091])).
% 199.34/199.33 cnf(14326,plain,
% 199.34/199.33 (P1(f317(f317(f224(f907(x143261,a897)),f317(f274(x143262,x143261,x143263),f179(f907(x143262,a897)))),x143264))),
% 199.34/199.33 inference(rename_variables,[],[11478])).
% 199.34/199.33 cnf(14332,plain,
% 199.34/199.33 (P1(f317(f317(f225(a1),f317(f317(f3(a1),x143321),f72(a1))),x143321))),
% 199.34/199.33 inference(rename_variables,[],[10975])).
% 199.34/199.33 cnf(14379,plain,
% 199.34/199.33 (P1(f317(f317(f224(a897),x143791),x143791))),
% 199.34/199.33 inference(rename_variables,[],[12431])).
% 199.34/199.33 cnf(14386,plain,
% 199.34/199.33 (P1(f317(f317(f225(a1),f317(f317(f3(a1),x143861),f72(a1))),x143861))),
% 199.34/199.33 inference(rename_variables,[],[10975])).
% 199.34/199.33 cnf(14391,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x143911,x143911)),x143912),f253(x143911,f179(f907(x143911,a897)))))),
% 199.34/199.33 inference(rename_variables,[],[11159])).
% 199.34/199.33 cnf(14413,plain,
% 199.34/199.33 (P1(f317(f317(f224(a1),f40(a901,x144131,f179(a901))),x144131))),
% 199.34/199.33 inference(rename_variables,[],[12037])).
% 199.34/199.33 cnf(14416,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x144161,x144162)),x144163),f317(f300(f906(x144164,x144164),f906(x144161,x144162),f248(x144164,x144161,x144164,x144162,x144165,x144166)),f143(x144164,f103(f907(x144164,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[11598])).
% 199.34/199.33 cnf(14419,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x144191,x144191)),x144192),f253(x144191,f179(f907(x144191,a897)))))),
% 199.34/199.33 inference(rename_variables,[],[11159])).
% 199.34/199.33 cnf(14422,plain,
% 199.34/199.33 (E(f317(x144221,f317(f85(x144222,x144223,f232(f907(x144222,a897)),x144221),f317(x144221,x144224))),f317(x144221,x144224))),
% 199.34/199.33 inference(rename_variables,[],[11303])).
% 199.34/199.33 cnf(14427,plain,
% 199.34/199.33 (~P31(x144271,x144272,x144273,f317(f317(f144(x144274,x144271),x144275),f317(a102,f103(x144274))),f103(x144272))),
% 199.34/199.33 inference(rename_variables,[],[11439])).
% 199.34/199.33 cnf(14439,plain,
% 199.34/199.33 (~P1(f317(f317(f162(x144391),f317(f126(x144391,x144392),f103(x144391))),x144393))),
% 199.34/199.33 inference(rename_variables,[],[12159])).
% 199.34/199.33 cnf(14449,plain,
% 199.34/199.33 (~P1(f317(f317(f162(x144491),f317(f126(x144491,x144492),f103(x144491))),x144493))),
% 199.34/199.33 inference(rename_variables,[],[12159])).
% 199.34/199.33 cnf(14452,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x144521,x144522)),x144523),f317(f300(f906(x144524,x144524),f906(x144521,x144522),f248(x144524,x144521,x144524,x144522,x144525,x144526)),f143(x144524,f103(f907(x144524,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[11598])).
% 199.34/199.33 cnf(14457,plain,
% 199.34/199.33 (~P1(f317(f317(f162(x144571),f317(f126(x144571,x144572),f103(x144571))),x144573))),
% 199.34/199.33 inference(rename_variables,[],[12159])).
% 199.34/199.33 cnf(14468,plain,
% 199.34/199.33 (P1(f317(f317(f224(f907(x144681,a897)),f317(f274(x144682,x144681,x144683),f179(f907(x144682,a897)))),x144684))),
% 199.34/199.33 inference(rename_variables,[],[11478])).
% 199.34/199.33 cnf(14480,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(f902(x144801),f902(x144801))),f317(f317(f242(f902(x144801),f902(x144801)),x144802),x144802)),f137(x144801,f143(x144801,f103(f907(x144801,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[12811])).
% 199.34/199.33 cnf(14504,plain,
% 199.34/199.33 (E(f317(f300(x145041,x145041,f25(x145041)),x145042),x145042)),
% 199.34/199.33 inference(rename_variables,[],[3493])).
% 199.34/199.33 cnf(14511,plain,
% 199.34/199.33 (P1(f317(f317(f224(a901),x145111),f317(f317(f74(a901),x145112),x145111)))),
% 199.34/199.33 inference(rename_variables,[],[3691])).
% 199.34/199.33 cnf(14514,plain,
% 199.34/199.33 (~P1(f317(f317(f225(a901),f317(f317(f91(a901),x145141),x145142)),x145142))),
% 199.34/199.33 inference(rename_variables,[],[12113])).
% 199.34/199.33 cnf(14523,plain,
% 199.34/199.33 (E(f317(f73(f907(x145231,a897)),f317(f73(f907(x145231,a897)),x145232)),x145232)),
% 199.34/199.33 inference(rename_variables,[],[3561])).
% 199.34/199.33 cnf(14542,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x145421,x145421)),x145422),f143(x145421,f103(f907(x145421,a901)))))),
% 199.34/199.33 inference(rename_variables,[],[12353])).
% 199.34/199.33 cnf(14545,plain,
% 199.34/199.33 (P1(f317(f317(f224(f907(x145451,a897)),x145452),f317(f317(f91(f907(x145451,a897)),x145453),f232(f907(x145451,a897)))))),
% 199.34/199.33 inference(rename_variables,[],[11409])).
% 199.34/199.33 cnf(14560,plain,
% 199.34/199.33 (P1(f317(f317(f224(a1),f40(a901,x145601,f179(a901))),x145601))),
% 199.34/199.33 inference(rename_variables,[],[12037])).
% 199.34/199.33 cnf(14571,plain,
% 199.34/199.33 (P1(f317(f317(f224(f907(x145711,a897)),f317(f274(x145712,x145711,f179(f907(f906(x145712,x145711),a897))),x145713)),x145714))),
% 199.34/199.33 inference(rename_variables,[],[11433])).
% 199.34/199.33 cnf(14580,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x145801,x145802)),x145803),f317(f300(f906(x145804,x145804),f906(x145801,x145802),f248(x145804,x145801,x145804,x145802,x145805,x145806)),f143(x145804,f103(f907(x145804,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[11598])).
% 199.34/199.33 cnf(14593,plain,
% 199.34/199.33 (P1(f317(f317(f224(f907(x145931,a897)),f317(f274(x145932,x145931,f179(f907(f906(x145932,x145931),a897))),x145933)),x145934))),
% 199.34/199.33 inference(rename_variables,[],[11433])).
% 199.34/199.33 cnf(14596,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x145961,x145961)),x145962),f253(x145961,f179(f907(x145961,a897)))))),
% 199.34/199.33 inference(rename_variables,[],[11159])).
% 199.34/199.33 cnf(14599,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(f902(x145991),f902(x145991))),f317(f317(f242(f902(x145991),f902(x145991)),x145992),x145993)),f147(x145991,f143(x145991,f103(f907(x145991,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[11552])).
% 199.34/199.33 cnf(14645,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x146451,x146451)),x146452),f253(x146451,f179(f907(x146451,a897)))))),
% 199.34/199.33 inference(rename_variables,[],[11159])).
% 199.34/199.33 cnf(14648,plain,
% 199.34/199.33 (~E(f317(f317(f141(x146481),x146482),x146483),f317(f158(x146481),f103(x146481)))),
% 199.34/199.33 inference(rename_variables,[],[13533])).
% 199.34/199.33 cnf(14657,plain,
% 199.34/199.33 (~E(x146571,f317(f317(f141(x146572),x146573),x146571))),
% 199.34/199.33 inference(rename_variables,[],[11091])).
% 199.34/199.33 cnf(14666,plain,
% 199.34/199.33 (P1(f317(f317(f224(a901),x146661),f317(f317(f74(a901),x146662),x146661)))),
% 199.34/199.33 inference(rename_variables,[],[3691])).
% 199.34/199.33 cnf(14710,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x147101,x147102)),x147103),f317(f300(f906(x147104,x147104),f906(x147101,x147102),f248(x147104,x147101,x147104,x147102,x147105,x147106)),f143(x147104,f103(f907(x147104,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[11598])).
% 199.34/199.33 cnf(14734,plain,
% 199.34/199.33 (P1(f317(f317(f224(a1),f40(a901,x147341,f179(a901))),x147341))),
% 199.34/199.33 inference(rename_variables,[],[12037])).
% 199.34/199.33 cnf(14745,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(f902(x147451),f902(x147451))),f317(f317(f242(f902(x147451),f902(x147451)),x147452),x147453)),f147(x147451,f143(x147451,f103(f907(x147451,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[11552])).
% 199.34/199.33 cnf(14758,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(f902(x147581),f902(x147581))),f317(f317(f242(f902(x147581),f902(x147581)),x147582),x147583)),f147(x147581,f143(x147581,f103(f907(x147581,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[11552])).
% 199.34/199.33 cnf(14771,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x147711,x147712)),x147713),f317(f300(f906(x147714,x147714),f906(x147711,x147712),f248(x147714,x147711,x147714,x147712,x147715,x147716)),f143(x147714,f103(f907(x147714,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[11598])).
% 199.34/199.33 cnf(14783,plain,
% 199.34/199.33 (~P1(f317(f317(f319(f906(x147831,x147832)),x147833),f317(f300(f906(x147834,x147834),f906(x147831,x147832),f248(x147834,x147831,x147834,x147832,x147835,x147836)),f143(x147834,f103(f907(x147834,a901))))))),
% 199.34/199.33 inference(rename_variables,[],[11598])).
% 199.34/199.33 cnf(14794,plain,
% 199.34/199.33 (E(f317(x147941,f317(f85(x147942,x147943,f232(f907(x147942,a897)),x147941),f317(x147941,x147944))),f317(x147941,x147944))),
% 199.34/199.33 inference(rename_variables,[],[11303])).
% 199.34/199.33 cnf(14797,plain,
% 199.34/199.33 (P1(f317(f317(f224(a901),x147971),f317(f317(f74(a901),x147972),x147971)))),
% 199.34/199.33 inference(rename_variables,[],[3691])).
% 199.34/199.33 cnf(14863,plain,
% 199.34/199.33 ($false),
% 199.34/199.33 inference(scs_inference,[],[3973,3929,4378,3691,13936,14167,14205,14286,14511,14666,14797,3561,13904,13950,14192,14523,3668,4106,13944,4021,4591,14043,14195,3452,13922,3391,4607,3966,3967,4026,4128,13975,14133,14228,14267,14320,3528,3440,4039,4006,14024,14049,4457,4604,11177,11443,10667,13907,11412,12651,11427,13306,12743,11333,11277,14233,14281,13533,13912,13999,14648,11388,11530,11399,14073,14258,11447,13939,14147,10919,11454,11581,10501,10725,11091,14323,14657,12748,10604,13348,12159,13996,14087,14094,14136,14218,14276,14439,14449,14457,11771,14052,11171,11561,13884,11303,13773,13804,13826,13832,13862,13987,14040,14210,14422,14794,13593,12787,10746,12811,14480,11552,13915,14097,14155,14164,14247,14304,14599,14745,14758,11598,13835,13838,13841,13847,13850,13853,13953,13959,14141,14225,14416,14452,14580,14710,14771,14783,11514,13763,13823,13844,13856,13887,14261,11583,12250,10768,12769,11460,14021,10899,13489,11445,13240,11159,13859,13947,13956,14144,14301,14391,14419,14596,14645,12353,13925,14542,11146,11162,13766,11102,11416,14198,11433,14046,14571,14593,11476,11141,11478,14326,14468,11409,14545,12706,11143,11439,14152,14427,10611,11097,10902,13651,13109,12180,12520,14018,11959,13262,13617,11481,12498,10787,12431,14379,12542,12783,13791,13870,14084,13037,10417,12033,12466,14298,11107,12113,14514,12212,12218,13414,13226,13896,14119,11441,12386,11019,12300,12306,12425,10975,13965,14008,14013,14242,14332,14386,12095,12037,14315,14413,14560,14734,12085,11349,10932,11318,10818,11567,12533,12145,13019,10881,11094,13783,13786,11365,11779,10558,12419,10710,10497,13591,10806,11981,12099,12434,12189,11065,13527,11826,10553,3046,3493,14504,3470,3382,3434,3918,3640,3795,4599,14107,4644,4114,3585,3458,3867,4831,4934,5512,5610,5611,5780,5838,5847,6095,6166,6188,6342,6576,6606,6644,6932,6992,7418,7819,8012,8059,8060,8061,8790,8960,9083,4673,5121,5303,5304,5480,6850,7179,7180,7674,8892,8893,8909,8910,9499,5205,9303,5441,7597,8612,5107,8646,5738,5824,10057,6849,8493,5987,6177,8879,9711,5435,6392,8705,8894,7529,10273,8689,4780,5420,8891,5537,5632,6573,6683,6875,9756,5777,6380,8020,8152,8867,9824,9930,4736,5908,6242,6009,6290,6363,8803,5846,7546,8767,4731,5425,8624,5836,6016,8463,8994,6284,5313,5584,6183,6527,6620,9159,10068,8133,5415,5475,6588,4942,9871,5256,4732,5387,6415,8734,4858,5590,6575,8671,5834,8744,6884,7296,8846,4852,7926,8691,10041,5434,6142,5135,5877,6880,7532,5996,9755,6350,6886,7555,9762,9409,8342,6208,8931,8594,5381,8645,8889,9328,6013,6911,6924,10067,10073,5915,9880,9902,5191,8735,5113,8558,6427,4999,5759,5327,5785,6549,7593,9147,5288,5299,9379,5140,5386,6015,6358,6385,6868,8827,4734,4985,5296,5896,6234,5040,5633,8467,6476,5039,5488,9695,5306,5907,9265,9319,10051,5491,7060,7843,9543,5781,9130,6202,8644,6837,4919,4969,5774,9963,8622,7448,8687,4689,5065,5133,5192,9813,9318,7299,9697,5285,5646,5330,7053,8716,8783,6345,4773,5664,8408,6430,5972,6912,8324,9308,8508,10392,9302,5125,8713,6474,8527,5298,5562,6622,7016,9967,5634,5322,5409,5614,5826,5693,7645,9359,5832,5401,5884,8625,8992,7359,6014,5319,5419,5683,8656,10271,8548,5695,9383,10046,5855,5861,7888,5828,5848,6199,6464,6639,9320,5454,6036,5819,6636,7939,9587,6416,7211,7272,4782,6064,8557,8693,5398,6235,9504,6861,10058,5323,5818,8135,4677,5822,6204,6335,9099,5370,5379,4651,6762,5679,5064,6548,7289,6383,8595,9166,9189,7519,6473,4936,5763,5421,5692,6281,6469,6594,8828,7876,5257,5487,7431,8981,6331,5300,6233,8535,6418,8047,9132,9713,7450,5271,5305,5355,5773,6026,6163,6883,8079,8465,8836,9025,7874,9869,4818,5766,8426,8890,9763,5369,8223,4774,4823,6366,6878,6993,9512,9698,5062,6274,9509,8473,9696,6333,7097,8134,8825,5618,6073,6100,5726,5863,6239,6860,9436,5134,5536,6160,6347,5495,6181,5561,6913,5949,6739,7429,7663,6839,6159,8561,5830,5248,5999,6241,8562,6900,7748,8692,5202,9609,5883,10272,4961,9403,9131,6517,7644,12,6275,4824,7449,5522,9188,4730,5249,5841,6012,6472,8489,9825,6419,7964,5662,7268,7807,7471,5189,5772,6468,5400,6991,7473,8409,9023,5485,9686,6021,6882,8753,10087,4758]),
% 199.34/199.33 ['proof']).
% 199.34/199.34 % SZS output end Proof
% 199.34/199.34 % Total time :184.590000s
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