TSTP Solution File: SWW357+1 by CSE---1.7
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%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWW357+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 : n032.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 18:08:18 EDT 2024
% Result : Theorem 190.45s 190.66s
% Output : CNFRefutation 190.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SWW357+1 : TPTP v8.2.0. Released v5.2.0.
% 0.02/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Wed Jun 19 06:45:08 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.13/0.52 start to proof:theBenchmark
% 190.39/190.56 %-------------------------------------------
% 190.39/190.56 % File :CSE---1.7
% 190.39/190.56 % Problem :theBenchmark
% 190.39/190.56 % Transform :cnf
% 190.39/190.56 % Format :tptp:raw
% 190.39/190.56 % Command :java -jar mcs_scs.jar %d %s
% 190.39/190.56
% 190.39/190.56 % Result :Theorem 172.030000s
% 190.39/190.56 % Output :CNFRefutation 172.030000s
% 190.39/190.56 %-------------------------------------------
% 190.45/190.57 %------------------------------------------------------------------------------
% 190.45/190.57 % File : SWW357+1 : TPTP v8.2.0. Released v5.2.0.
% 190.45/190.57 % Domain : Software Verification
% 190.45/190.57 % Problem : Hoare's Logic with Procedures 435408, 5000 axioms selected
% 190.45/190.57 % Version : Especial.
% 190.45/190.57 % English :
% 190.45/190.57
% 190.45/190.57 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 190.45/190.57 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 190.45/190.57 % Source : [Bla11]
% 190.45/190.57 % Names : hoare_435408.5000.p [Bla11]
% 190.45/190.57
% 190.45/190.57 % Status : ContradictoryAxioms
% 190.45/190.57 % Rating : 0.83 v8.2.0, 0.81 v8.1.0, 0.83 v7.5.0, 0.84 v7.4.0, 0.93 v7.3.0, 0.90 v7.1.0, 0.87 v7.0.0, 0.90 v6.4.0, 0.88 v6.2.0, 0.92 v6.1.0, 0.93 v6.0.0, 0.91 v5.5.0, 0.96 v5.4.0, 1.00 v5.2.0
% 190.45/190.57 % Syntax : Number of formulae : 5226 (1635 unt; 0 def)
% 190.45/190.57 % Number of atoms : 12829 (4424 equ)
% 190.45/190.57 % Maximal formula atoms : 13 ( 2 avg)
% 190.45/190.57 % Number of connectives : 8611 (1008 ~; 154 |; 737 &)
% 190.45/190.57 % ( 912 <=>;5800 =>; 0 <=; 0 <~>)
% 190.45/190.57 % Maximal formula depth : 22 ( 6 avg)
% 190.45/190.57 % Maximal term depth : 19 ( 2 avg)
% 190.45/190.57 % Number of predicates : 150 ( 149 usr; 0 prp; 1-6 aty)
% 190.45/190.57 % Number of functors : 376 ( 376 usr; 49 con; 0-7 aty)
% 190.45/190.57 % Number of variables : 16546 (16394 !; 152 ?)
% 190.45/190.57 % SPC : FOF_CAX_RFO_SEQ
% 190.45/190.57
% 190.45/190.57 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 190.45/190.57 % 2011-03-01 12:30:03
% 190.45/190.57 %------------------------------------------------------------------------------
% 190.45/190.57 %----Relevant facts (4983)
% 190.45/190.57 fof(fact_ext,axiom,
% 190.45/190.57 ! [V_g_2,V_f_2] :
% 190.45/190.57 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 190.45/190.57 => V_f_2 = V_g_2 ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_assms_I1_J,axiom,
% 190.45/190.57 ! [V_G_2,V_ts_2] :
% 190.45/190.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),V_ts_2),V_G_2))
% 190.45/190.57 => v_P(V_G_2,V_ts_2) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_assms_I3_J,axiom,
% 190.45/190.57 ! [V_G_2,V_c_2] :
% 190.45/190.57 ( v_wt(V_c_2)
% 190.45/190.57 => ( ! [B_x] :
% 190.45/190.57 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),v_U))
% 190.45/190.57 => 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)))) )
% 190.45/190.57 => 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)))) ) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_le0,axiom,
% 190.45/190.57 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_finite__imageI,axiom,
% 190.45/190.57 ! [V_h_2,T_c,V_F_2,T_b] :
% 190.45/190.57 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 190.45/190.57 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_empty__subsetI,axiom,
% 190.45/190.57 ! [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)) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_finite_OinsertI,axiom,
% 190.45/190.57 ! [V_a_2,V_A_2,T_b] :
% 190.45/190.57 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.57 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_finite_OemptyI,axiom,
% 190.45/190.57 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_card__image__le,axiom,
% 190.45/190.57 ! [V_f_2,T_c,V_A_2,T_b] :
% 190.45/190.57 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.57 => 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))) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_card__mono,axiom,
% 190.45/190.57 ! [V_A_2,V_B_2,T_b] :
% 190.45/190.57 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.57 => 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))) ) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_card__seteq,axiom,
% 190.45/190.57 ! [V_A_2,V_B_2,T_b] :
% 190.45/190.57 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.57 => ( 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)))
% 190.45/190.57 => V_A_2 = V_B_2 ) ) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_card__insert__le,axiom,
% 190.45/190.57 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.57 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.57 => 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)))) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_card__eq__0__iff,axiom,
% 190.45/190.57 ! [V_A_2,T_b] :
% 190.45/190.57 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.57 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.57 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_assms_I2_J,axiom,
% 190.45/190.57 ! [V_G_2,V_pn_2] :
% 190.45/190.57 ( 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))))
% 190.45/190.57 => 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)))) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_equalityI,axiom,
% 190.45/190.57 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.45/190.57 => V_A_2 = V_B_2 ) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_finite__code,axiom,
% 190.45/190.57 ! [V_A_2,T_b] :
% 190.45/190.57 ( class_Finite__Set_Ofinite(T_b)
% 190.45/190.57 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_finite,axiom,
% 190.45/190.57 ! [V_A_2,T_b] :
% 190.45/190.57 ( class_Finite__Set_Ofinite(T_b)
% 190.45/190.57 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_insert__code,axiom,
% 190.45/190.57 ! [V_x_2,V_A_2,V_y_2,T_b] :
% 190.45/190.57 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2))
% 190.45/190.57 <=> ( V_y_2 = V_x_2
% 190.45/190.57 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_insert__commute,axiom,
% 190.45/190.57 ! [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)) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_insert__absorb2,axiom,
% 190.45/190.57 ! [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) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_equalityE,axiom,
% 190.45/190.57 ! [T_b,V_B_2,V_A_2] :
% 190.45/190.57 ( V_A_2 = V_B_2
% 190.45/190.57 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.57 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_subset__trans,axiom,
% 190.45/190.57 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 190.45/190.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 190.45/190.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_equalityD2,axiom,
% 190.45/190.57 ! [T_b,V_B_2,V_A_2] :
% 190.45/190.57 ( V_A_2 = V_B_2
% 190.45/190.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_equalityD1,axiom,
% 190.45/190.57 ! [T_b,V_B_2,V_A_2] :
% 190.45/190.57 ( V_A_2 = V_B_2
% 190.45/190.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_set__eq__subset,axiom,
% 190.45/190.57 ! [T_b,V_B_2,V_A_2] :
% 190.45/190.57 ( V_A_2 = V_B_2
% 190.45/190.57 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.57 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_subset__refl,axiom,
% 190.45/190.57 ! [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)) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_le__antisym,axiom,
% 190.45/190.57 ! [V_n,V_m] :
% 190.45/190.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.45/190.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 190.45/190.57 => V_m = V_n ) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_le__trans,axiom,
% 190.45/190.57 ! [V_k,V_j,V_i] :
% 190.45/190.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 190.45/190.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 190.45/190.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_eq__imp__le,axiom,
% 190.45/190.57 ! [V_n,V_m] :
% 190.45/190.57 ( V_m = V_n
% 190.45/190.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_nat__le__linear,axiom,
% 190.45/190.57 ! [V_n,V_m] :
% 190.45/190.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.45/190.57 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_le__refl,axiom,
% 190.45/190.57 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_diff__commute,axiom,
% 190.45/190.57 ! [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) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_image__image,axiom,
% 190.45/190.57 ! [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) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_finite_Oequations_I1_J,axiom,
% 190.45/190.57 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_singleton__inject,axiom,
% 190.45/190.57 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.57 ( 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)))
% 190.45/190.57 => V_a_2 = V_b_2 ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_doubleton__eq__iff,axiom,
% 190.45/190.57 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 190.45/190.57 ( 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))))
% 190.45/190.57 <=> ( ( V_a_2 = V_c_2
% 190.45/190.57 & V_b_2 = V_d_2 )
% 190.45/190.57 | ( V_a_2 = V_d_2
% 190.45/190.57 & V_b_2 = V_c_2 ) ) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_insert__not__empty,axiom,
% 190.45/190.57 ! [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)) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_empty__not__insert,axiom,
% 190.45/190.57 ! [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) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_finite__insert,axiom,
% 190.45/190.57 ! [V_A_2,V_a_2,T_b] :
% 190.45/190.57 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)))
% 190.45/190.57 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_subset__empty,axiom,
% 190.45/190.57 ! [V_A_2,T_b] :
% 190.45/190.57 ( 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))))
% 190.45/190.57 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_image__is__empty,axiom,
% 190.45/190.57 ! [V_A_2,V_f_2,T_b,T_c] :
% 190.45/190.57 ( 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))
% 190.45/190.57 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_image__empty,axiom,
% 190.45/190.57 ! [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)) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_empty__is__image,axiom,
% 190.45/190.57 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.57 ( 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)
% 190.45/190.57 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_finite__subset,axiom,
% 190.45/190.57 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.57 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 190.45/190.57
% 190.45/190.57 fof(fact_rev__finite__subset,axiom,
% 190.45/190.57 ! [V_A_2,V_B_2,T_b] :
% 190.45/190.57 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.57 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_insert__mono,axiom,
% 190.45/190.58 ! [V_a_2,V_D_2,V_C_2,T_b] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))
% 190.45/190.58 => 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))) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_subset__insertI2,axiom,
% 190.45/190.58 ! [V_b_2,V_B_2,V_A_2,T_b] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.58 => 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))) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_subset__insertI,axiom,
% 190.45/190.58 ! [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))) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_image__insert,axiom,
% 190.45/190.58 ! [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)) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_le__0__eq,axiom,
% 190.45/190.58 ! [V_na_2] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 190.45/190.58 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 190.45/190.58 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_image__mono,axiom,
% 190.45/190.58 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.58 => 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))) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_subset__image__iff,axiom,
% 190.45/190.58 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 190.45/190.58 ( 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)))
% 190.45/190.58 <=> ? [B_AA] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2))
% 190.45/190.58 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_diffs0__imp__equal,axiom,
% 190.45/190.58 ! [V_n,V_m] :
% 190.45/190.58 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.58 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.58 => V_m = V_n ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_diff__self__eq__0,axiom,
% 190.45/190.58 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_minus__nat_Odiff__0,axiom,
% 190.45/190.58 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 190.45/190.58
% 190.45/190.58 fof(fact_diff__0__eq__0,axiom,
% 190.45/190.58 ! [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) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_le__diff__iff,axiom,
% 190.45/190.58 ! [V_na_2,V_m_2,V_k_2] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2))
% 190.45/190.58 => ( 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)))
% 190.45/190.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_Nat_Odiff__diff__eq,axiom,
% 190.45/190.58 ! [V_n,V_m,V_k] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 190.45/190.58 => 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) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_eq__diff__iff,axiom,
% 190.45/190.58 ! [V_na_2,V_m_2,V_k_2] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2))
% 190.45/190.58 => ( 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)
% 190.45/190.58 <=> V_m_2 = V_na_2 ) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_diff__diff__cancel,axiom,
% 190.45/190.58 ! [V_n,V_i] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 190.45/190.58 => 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 ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_diff__le__mono,axiom,
% 190.45/190.58 ! [V_l,V_n,V_m] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.45/190.58 => 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))) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_diff__le__mono2,axiom,
% 190.45/190.58 ! [V_l,V_n,V_m] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.45/190.58 => 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))) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_diff__le__self,axiom,
% 190.45/190.58 ! [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)) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_subset__singletonD,axiom,
% 190.45/190.58 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.58 ( 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)))))
% 190.45/190.58 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.58 | 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))) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_finite__surj,axiom,
% 190.45/190.58 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] :
% 190.45/190.58 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.58 => ( 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)))
% 190.45/190.58 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_card_Oempty,axiom,
% 190.45/190.58 ! [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) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_card__infinite,axiom,
% 190.45/190.58 ! [V_A_2,T_b] :
% 190.45/190.58 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.58 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_diff__is__0__eq_H,axiom,
% 190.45/190.58 ! [V_n,V_m] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.45/190.58 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_diff__is__0__eq,axiom,
% 190.45/190.58 ! [V_na_2,V_m_2] :
% 190.45/190.58 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_image__constant__conv,axiom,
% 190.45/190.58 ! [V_c_2,T_c,T_b,V_A_2] :
% 190.45/190.58 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.58 => 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)) )
% 190.45/190.58 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.58 => 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))) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_assms_I4_J,axiom,
% 190.45/190.58 ! [V_pn_2] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),V_pn_2),v_U))
% 190.45/190.58 => v_wt(c_Option_Othe(tc_Com_Ocom,c_Com_Obody(V_pn_2))) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_le__iff__diff__le__0,axiom,
% 190.45/190.58 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.58 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 190.45/190.58 <=> 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))) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_the__elem__eq,axiom,
% 190.45/190.58 ! [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 ).
% 190.45/190.58
% 190.45/190.58 fof(fact_order__refl,axiom,
% 190.45/190.58 ! [V_x,T_a] :
% 190.45/190.58 ( class_Orderings_Opreorder(T_a)
% 190.45/190.58 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_bot__fun__def,axiom,
% 190.45/190.58 ! [V_x_2,T_c,T_b] :
% 190.45/190.58 ( class_Orderings_Obot(T_b)
% 190.45/190.58 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_bot__apply,axiom,
% 190.45/190.58 ! [V_x_2,T_c,T_b] :
% 190.45/190.58 ( class_Orderings_Obot(T_b)
% 190.45/190.58 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_le__funE,axiom,
% 190.45/190.58 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 190.45/190.58 ( class_Orderings_Oord(T_c)
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 190.45/190.58 => 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))) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_le__funD,axiom,
% 190.45/190.58 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 190.45/190.58 ( class_Orderings_Oord(T_c)
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 190.45/190.58 => 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))) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_le__fun__def,axiom,
% 190.45/190.58 ! [V_g_2,V_f_2,T_b,T_c] :
% 190.45/190.58 ( class_Orderings_Oord(T_c)
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 190.45/190.58 <=> ! [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))) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_right__minus__eq,axiom,
% 190.45/190.58 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.58 ( class_Groups_Ogroup__add(T_b)
% 190.45/190.58 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.58 <=> V_a_2 = V_b_2 ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_eq__iff__diff__eq__0,axiom,
% 190.45/190.58 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.58 ( class_Groups_Oab__group__add(T_b)
% 190.45/190.58 => ( V_a_2 = V_b_2
% 190.45/190.58 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_diff__self,axiom,
% 190.45/190.58 ! [V_a,T_a] :
% 190.45/190.58 ( class_Groups_Ogroup__add(T_a)
% 190.45/190.58 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_DiffI,axiom,
% 190.45/190.58 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.45/190.58 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 190.45/190.58 => 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))) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_equalityCE,axiom,
% 190.45/190.58 ! [V_c_2,T_b,V_B_2,V_A_2] :
% 190.45/190.58 ( V_A_2 = V_B_2
% 190.45/190.58 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.45/190.58 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) )
% 190.45/190.58 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.45/190.58 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_DiffE,axiom,
% 190.45/190.58 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.45/190.58 ( 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)))
% 190.45/190.58 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.45/190.58 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_finite__Diff,axiom,
% 190.45/190.58 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.58 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.58 => 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))) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_emptyE,axiom,
% 190.45/190.58 ! [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)))) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_insertE,axiom,
% 190.45/190.58 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 190.45/190.58 => ( V_a_2 != V_b_2
% 190.45/190.58 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_insertCI,axiom,
% 190.45/190.58 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 190.45/190.58 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 190.45/190.58 => V_a_2 = V_b_2 )
% 190.45/190.58 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_subsetD,axiom,
% 190.45/190.58 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.45/190.58 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_image__eqI,axiom,
% 190.45/190.58 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] :
% 190.45/190.58 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 190.45/190.58 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_mem__def,axiom,
% 190.45/190.58 ! [V_A_2,V_x_2,T_b] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.58 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_Diff__iff,axiom,
% 190.45/190.58 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.45/190.58 ( 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)))
% 190.45/190.58 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.45/190.58 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_eqset__imp__iff,axiom,
% 190.45/190.58 ! [V_x_2,T_b,V_B_2,V_A_2] :
% 190.45/190.58 ( V_A_2 = V_B_2
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.58 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_eqelem__imp__iff,axiom,
% 190.45/190.58 ! [V_A_2,T_b,V_y_2,V_x_2] :
% 190.45/190.58 ( V_x_2 = V_y_2
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.58 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_eq__mem__trans,axiom,
% 190.45/190.58 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 190.45/190.58 ( V_a_2 = V_b_2
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 190.45/190.58 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_DiffD1,axiom,
% 190.45/190.58 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.45/190.58 ( 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)))
% 190.45/190.58 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_DiffD2,axiom,
% 190.45/190.58 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.45/190.58 ( 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)))
% 190.45/190.58 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_insert__Diff1,axiom,
% 190.45/190.58 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 190.45/190.58 => 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) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_insert__Diff__if,axiom,
% 190.45/190.58 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 190.45/190.58 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 190.45/190.58 => 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) )
% 190.45/190.58 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 190.45/190.58 => 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)) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_Diff__insert__absorb,axiom,
% 190.45/190.58 ! [V_A_2,V_x_2,T_b] :
% 190.45/190.58 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.58 => 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 ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_insert__Diff,axiom,
% 190.45/190.58 ! [V_A_2,V_a_2,T_b] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.58 => 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 ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_empty__Diff,axiom,
% 190.45/190.58 ! [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)) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_Diff__empty,axiom,
% 190.45/190.58 ! [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 ).
% 190.45/190.58
% 190.45/190.58 fof(fact_Diff__cancel,axiom,
% 190.45/190.58 ! [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)) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_finite__Diff2,axiom,
% 190.45/190.58 ! [V_A_2,V_B_2,T_b] :
% 190.45/190.58 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.58 => ( 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)))
% 190.45/190.58 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_Diff__subset,axiom,
% 190.45/190.58 ! [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)) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_Diff__mono,axiom,
% 190.45/190.58 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2))
% 190.45/190.58 => 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))) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_double__diff,axiom,
% 190.45/190.58 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 190.45/190.58 => 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 ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_all__not__in__conv,axiom,
% 190.45/190.58 ! [V_A_2,T_b] :
% 190.45/190.58 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.58 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_ex__in__conv,axiom,
% 190.45/190.58 ! [V_A_2,T_b] :
% 190.45/190.58 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.58 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_empty__iff,axiom,
% 190.45/190.58 ! [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)))) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_equals0D,axiom,
% 190.45/190.58 ! [V_a_2,T_b,V_A_2] :
% 190.45/190.58 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.58 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_insertI1,axiom,
% 190.45/190.58 ! [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))) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_insert__iff,axiom,
% 190.45/190.58 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 190.45/190.58 <=> ( V_a_2 = V_b_2
% 190.45/190.58 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_insert__ident,axiom,
% 190.45/190.58 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 190.45/190.58 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.58 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 190.45/190.58 => ( 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)
% 190.45/190.58 <=> V_A_2 = V_B_2 ) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_insertI2,axiom,
% 190.45/190.58 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 190.45/190.58 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_insert__absorb,axiom,
% 190.45/190.58 ! [V_A_2,V_a_2,T_b] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.58 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_in__mono,axiom,
% 190.45/190.58 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.58 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_set__rev__mp,axiom,
% 190.45/190.58 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.58 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_set__mp,axiom,
% 190.45/190.58 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.58 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_image__iff,axiom,
% 190.45/190.58 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 190.45/190.58 <=> ? [B_x] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 190.45/190.58 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_imageI,axiom,
% 190.45/190.58 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.58 => 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))) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_rev__image__eqI,axiom,
% 190.45/190.58 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.58 => ( V_b_2 = hAPP(V_f_2,V_x_2)
% 190.45/190.58 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_subset__insert__iff,axiom,
% 190.45/190.58 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 190.45/190.58 ( 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)))
% 190.45/190.58 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.58 => 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)) )
% 190.45/190.58 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.58 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_diff__single__insert,axiom,
% 190.45/190.58 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 190.45/190.58 ( 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))
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.58 => 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))) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_bot__nat__def,axiom,
% 190.45/190.58 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_Diff__insert,axiom,
% 190.45/190.58 ! [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)))) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_Diff__insert2,axiom,
% 190.45/190.58 ! [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) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_insert__Diff__single,axiom,
% 190.45/190.58 ! [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) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_finite__Diff__insert,axiom,
% 190.45/190.58 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 190.45/190.58 ( 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))))
% 190.45/190.58 <=> 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))) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_image__diff__subset,axiom,
% 190.45/190.58 ! [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)))) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_singleton__iff,axiom,
% 190.45/190.58 ! [V_a_2,V_b_2,T_b] :
% 190.45/190.58 ( 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)))))
% 190.45/190.58 <=> V_b_2 = V_a_2 ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_singletonE,axiom,
% 190.45/190.58 ! [V_a_2,V_b_2,T_b] :
% 190.45/190.58 ( 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)))))
% 190.45/190.58 => V_b_2 = V_a_2 ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_insert__subset,axiom,
% 190.45/190.58 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 190.45/190.58 ( 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))
% 190.45/190.58 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 190.45/190.58 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_subset__insert,axiom,
% 190.45/190.58 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 190.45/190.58 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.58 => ( 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)))
% 190.45/190.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_insert__image,axiom,
% 190.45/190.58 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 190.45/190.58 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.58 => 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) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_linorder__linear,axiom,
% 190.45/190.58 ! [V_y,V_x,T_a] :
% 190.45/190.58 ( class_Orderings_Olinorder(T_a)
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.45/190.58 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_order__eq__iff,axiom,
% 190.45/190.58 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.58 ( class_Orderings_Oorder(T_b)
% 190.45/190.58 => ( V_x_2 = V_y_2
% 190.45/190.58 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.45/190.58 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_order__eq__refl,axiom,
% 190.45/190.58 ! [V_y,V_x,T_a] :
% 190.45/190.58 ( class_Orderings_Opreorder(T_a)
% 190.45/190.58 => ( V_x = V_y
% 190.45/190.58 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_order__antisym__conv,axiom,
% 190.45/190.58 ! [V_x_2,V_y_2,T_b] :
% 190.45/190.58 ( class_Orderings_Oorder(T_b)
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2))
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.45/190.58 <=> V_x_2 = V_y_2 ) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_ord__eq__le__trans,axiom,
% 190.45/190.58 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.58 ( class_Orderings_Oord(T_a)
% 190.45/190.58 => ( V_a = V_b
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 190.45/190.58 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_xt1_I3_J,axiom,
% 190.45/190.58 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.58 ( class_Orderings_Oorder(T_a)
% 190.45/190.58 => ( V_a = V_b
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 190.45/190.58 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_ord__le__eq__trans,axiom,
% 190.45/190.58 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.58 ( class_Orderings_Oord(T_a)
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.45/190.58 => ( V_b = V_c
% 190.45/190.58 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_xt1_I4_J,axiom,
% 190.45/190.58 ! [V_c,V_a,V_b,T_a] :
% 190.45/190.58 ( class_Orderings_Oorder(T_a)
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 190.45/190.58 => ( V_b = V_c
% 190.45/190.58 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_order__antisym,axiom,
% 190.45/190.58 ! [V_y,V_x,T_a] :
% 190.45/190.58 ( class_Orderings_Oorder(T_a)
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 190.45/190.58 => V_x = V_y ) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_order__trans,axiom,
% 190.45/190.58 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.58 ( class_Orderings_Opreorder(T_a)
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.45/190.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 190.45/190.58 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 190.45/190.58
% 190.45/190.58 fof(fact_xt1_I5_J,axiom,
% 190.45/190.58 ! [V_x,V_y,T_a] :
% 190.45/190.59 ( class_Orderings_Oorder(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.45/190.59 => V_x = V_y ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_xt1_I6_J,axiom,
% 190.45/190.59 ! [V_z,V_x,V_y,T_a] :
% 190.45/190.59 ( class_Orderings_Oorder(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_linorder__le__cases,axiom,
% 190.45/190.59 ! [V_y,V_x,T_a] :
% 190.45/190.59 ( class_Orderings_Olinorder(T_a)
% 190.45/190.59 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_zero__reorient,axiom,
% 190.45/190.59 ! [V_x_2,T_b] :
% 190.45/190.59 ( class_Groups_Ozero(T_b)
% 190.45/190.59 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2
% 190.45/190.59 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_diff__eq__diff__eq,axiom,
% 190.45/190.59 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 190.45/190.59 ( class_Groups_Oab__group__add(T_b)
% 190.45/190.59 => ( 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)
% 190.45/190.59 => ( V_a_2 = V_b_2
% 190.45/190.59 <=> V_c_2 = V_d_2 ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_image__constant,axiom,
% 190.45/190.59 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] :
% 190.45/190.59 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.59 => 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))) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_card__Diff__subset,axiom,
% 190.45/190.59 ! [V_A_2,V_B_2,T_b] :
% 190.45/190.59 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.45/190.59 => 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)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_diff__card__le__card__Diff,axiom,
% 190.45/190.59 ! [V_A_2,V_B_2,T_b] :
% 190.45/190.59 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.59 => 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)))) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_card__Diff1__le,axiom,
% 190.45/190.59 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.59 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.59 => 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))) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_bot__least,axiom,
% 190.45/190.59 ! [V_x,T_a] :
% 190.45/190.59 ( class_Orderings_Obot(T_a)
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_diff__eq__diff__less__eq,axiom,
% 190.45/190.59 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 190.45/190.59 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.45/190.59 => ( 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)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 190.45/190.59 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_diff__0__right,axiom,
% 190.45/190.59 ! [V_a,T_a] :
% 190.45/190.59 ( class_Groups_Ogroup__add(T_a)
% 190.45/190.59 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_pred__subset__eq,axiom,
% 190.45/190.59 ! [V_S_2,V_R_2,T_b] :
% 190.45/190.59 ( 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)))
% 190.45/190.59 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_bot__empty__eq,axiom,
% 190.45/190.59 ! [V_x_2,T_b] :
% 190.45/190.59 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2))
% 190.45/190.59 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_folding__one_Oremove,axiom,
% 190.45/190.59 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 190.45/190.59 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 190.45/190.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.59 => ( ( hAPP(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))
% 190.45/190.59 => hAPP(V_F_2,V_A_2) = V_x_2 )
% 190.45/190.59 & ( hAPP(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))
% 190.45/190.59 => 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)))))) ) ) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_folding__image__simple_Oremove,axiom,
% 190.45/190.59 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.59 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.45/190.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 190.45/190.59 => 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)))))) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_folding__one_Oinsert,axiom,
% 190.45/190.59 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 190.45/190.59 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 190.45/190.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.59 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.59 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.59 => 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)) ) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_card__Diff__singleton__if,axiom,
% 190.45/190.59 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.59 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.59 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.59 => 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)) )
% 190.45/190.59 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.59 => 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) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_card__Diff__singleton,axiom,
% 190.45/190.59 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.59 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.59 => 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)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 190.45/190.59 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 190.45/190.59 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 190.45/190.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.59 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.45/190.59 => 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) ) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_finite__subset__induct,axiom,
% 190.45/190.59 ! [V_Pa_2,V_A_2,V_F_2,T_b] :
% 190.45/190.59 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2))
% 190.45/190.59 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 190.45/190.59 => ( ! [B_a,B_F] :
% 190.45/190.59 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 190.45/190.59 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F))
% 190.45/190.59 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 190.45/190.59 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) )
% 190.45/190.59 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 190.45/190.59 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 190.45/190.59 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 190.45/190.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.59 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.59 => 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)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_the__elem__def,axiom,
% 190.45/190.59 ! [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))))) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_folding__one_Oinsert__remove,axiom,
% 190.45/190.59 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 190.45/190.59 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 190.45/190.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.59 => ( ( hAPP(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))
% 190.45/190.59 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 190.45/190.59 & ( hAPP(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))
% 190.45/190.59 => 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)))))) ) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_Diff__idemp,axiom,
% 190.45/190.59 ! [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) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_one__reorient,axiom,
% 190.45/190.59 ! [V_x_2,T_b] :
% 190.45/190.59 ( class_Groups_Oone(T_b)
% 190.45/190.59 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2
% 190.45/190.59 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_folding__one__idem_Oidem,axiom,
% 190.45/190.59 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 190.45/190.59 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 190.45/190.59 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_folding__image__simple_Oempty,axiom,
% 190.45/190.59 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.59 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.45/190.59 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_eq__mem,axiom,
% 190.45/190.59 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.59 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2)))
% 190.45/190.59 <=> V_x_2 = V_y_2 ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_predicate1D,axiom,
% 190.45/190.59 ! [V_x_2,V_Q_2,V_Pa_2,T_b] :
% 190.45/190.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Q_2))
% 190.45/190.59 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.59 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_rev__predicate1D,axiom,
% 190.45/190.59 ! [V_Q_2,T_b,V_x_2,V_Pa_2] :
% 190.45/190.59 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Q_2))
% 190.45/190.59 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_folding__one_Osingleton,axiom,
% 190.45/190.59 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 190.45/190.59 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 190.45/190.59 => 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 ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_folding__one__idem_Oin__idem,axiom,
% 190.45/190.59 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 190.45/190.59 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 190.45/190.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.59 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_pred__equals__eq,axiom,
% 190.45/190.59 ! [V_S_2,V_R_2,T_b] :
% 190.45/190.59 ( 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)
% 190.45/190.59 <=> V_R_2 = V_S_2 ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_card__Diff__insert,axiom,
% 190.45/190.59 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 190.45/190.59 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.59 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 190.45/190.59 => 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)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_folding__image__simple_Oinsert,axiom,
% 190.45/190.59 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.59 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.45/190.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.45/190.59 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 190.45/190.59 => 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)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 190.45/190.59 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.59 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.45/190.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.45/190.59 => 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)))))) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_zero__le__one,axiom,
% 190.45/190.59 ! [T_a] :
% 190.45/190.59 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.59 => 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))) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_not__one__le__zero,axiom,
% 190.45/190.59 ! [T_a] :
% 190.45/190.59 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.59 => ~ 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))) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_fun__diff__def,axiom,
% 190.45/190.59 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 190.45/190.59 ( class_Groups_Ominus(T_b)
% 190.45/190.59 => 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)) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_flat__lub__def,axiom,
% 190.45/190.59 ! [V_b_2,V_A_2,T_b] :
% 190.45/190.59 ( ( 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)))))
% 190.45/190.59 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 )
% 190.45/190.59 & ( ~ 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)))))
% 190.45/190.59 => 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)))))) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_card_Oremove,axiom,
% 190.45/190.59 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.59 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.59 => 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)))))) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_minus__apply,axiom,
% 190.45/190.59 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 190.45/190.59 ( class_Groups_Ominus(T_b)
% 190.45/190.59 => 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)) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_zero__neq__one,axiom,
% 190.45/190.59 ! [T_a] :
% 190.45/190.59 ( class_Rings_Ozero__neq__one(T_a)
% 190.45/190.59 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_one__neq__zero,axiom,
% 190.45/190.59 ! [T_a] :
% 190.45/190.59 ( class_Rings_Ozero__neq__one(T_a)
% 190.45/190.59 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_folding__one_Oclosed,axiom,
% 190.45/190.59 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 190.45/190.59 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 190.45/190.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.59 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.59 => ( ! [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))))))
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_card_Oinsert__remove,axiom,
% 190.45/190.59 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.59 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.59 => 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)))))) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_card__Diff2__less,axiom,
% 190.45/190.59 ! [V_y_2,V_x_2,V_A_2,T_b] :
% 190.45/190.59 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 190.45/190.59 => 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))) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_less__zeroE,axiom,
% 190.45/190.59 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_less__add__one,axiom,
% 190.45/190.59 ! [V_a,T_a] :
% 190.45/190.59 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.59 => 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)))) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_less__not__refl,axiom,
% 190.45/190.59 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_not__add__less1,axiom,
% 190.45/190.59 ! [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)) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_not__add__less2,axiom,
% 190.45/190.59 ! [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)) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_nat__neq__iff,axiom,
% 190.45/190.59 ! [V_na_2,V_m_2] :
% 190.45/190.59 ( V_m_2 != V_na_2
% 190.45/190.59 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 190.45/190.59 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_nat__add__commute,axiom,
% 190.45/190.59 ! [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) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_nat__add__left__commute,axiom,
% 190.45/190.59 ! [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)) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_nat__add__assoc,axiom,
% 190.45/190.59 ! [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)) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_nat__add__left__cancel,axiom,
% 190.45/190.59 ! [V_na_2,V_m_2,V_k_2] :
% 190.45/190.59 ( 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)
% 190.45/190.59 <=> V_m_2 = V_na_2 ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_nat__add__right__cancel,axiom,
% 190.45/190.59 ! [V_na_2,V_k_2,V_m_2] :
% 190.45/190.59 ( 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)
% 190.45/190.59 <=> V_m_2 = V_na_2 ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_nat__add__left__cancel__less,axiom,
% 190.45/190.59 ! [V_na_2,V_m_2,V_k_2] :
% 190.45/190.59 ( 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)))
% 190.45/190.59 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_linorder__neqE__nat,axiom,
% 190.45/190.59 ! [V_y,V_x] :
% 190.45/190.59 ( V_x != V_y
% 190.45/190.59 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_less__irrefl__nat,axiom,
% 190.45/190.59 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_less__not__refl2,axiom,
% 190.45/190.59 ! [V_m,V_n] :
% 190.45/190.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 190.45/190.59 => V_m != V_n ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_less__not__refl3,axiom,
% 190.45/190.59 ! [V_t,V_s] :
% 190.45/190.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 190.45/190.59 => V_s != V_t ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_trans__less__add1,axiom,
% 190.45/190.59 ! [V_m,V_j,V_i] :
% 190.45/190.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 190.45/190.59 => 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))) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_trans__less__add2,axiom,
% 190.45/190.59 ! [V_m,V_j,V_i] :
% 190.45/190.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 190.45/190.59 => 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))) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__less__mono1,axiom,
% 190.45/190.59 ! [V_k,V_j,V_i] :
% 190.45/190.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 190.45/190.59 => 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))) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__less__mono,axiom,
% 190.45/190.59 ! [V_l,V_k,V_j,V_i] :
% 190.45/190.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 190.45/190.59 => 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))) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_less__add__eq__less,axiom,
% 190.45/190.59 ! [V_n,V_m,V_l,V_k] :
% 190.45/190.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 190.45/190.59 => ( 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)
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__lessD1,axiom,
% 190.45/190.59 ! [V_k,V_j,V_i] :
% 190.45/190.59 ( 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))
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_nat__less__cases,axiom,
% 190.45/190.59 ! [V_Pa_2,V_na_2,V_m_2] :
% 190.45/190.59 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 190.45/190.59 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) )
% 190.45/190.59 => ( ( V_m_2 = V_na_2
% 190.45/190.59 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) )
% 190.45/190.59 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 190.45/190.59 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) )
% 190.45/190.59 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_linorder__neqE__linordered__idom,axiom,
% 190.45/190.59 ! [V_y,V_x,T_a] :
% 190.45/190.59 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.59 => ( V_x != V_y
% 190.45/190.59 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_order__less__irrefl,axiom,
% 190.45/190.59 ! [V_x,T_a] :
% 190.45/190.59 ( class_Orderings_Opreorder(T_a)
% 190.45/190.59 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_linorder__neq__iff,axiom,
% 190.45/190.59 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.59 ( class_Orderings_Olinorder(T_b)
% 190.45/190.59 => ( V_x_2 != V_y_2
% 190.45/190.59 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 190.45/190.59 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_not__less__iff__gr__or__eq,axiom,
% 190.45/190.59 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.59 ( class_Orderings_Olinorder(T_b)
% 190.45/190.59 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 190.45/190.59 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 190.45/190.59 | V_x_2 = V_y_2 ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_linorder__less__linear,axiom,
% 190.45/190.59 ! [V_y,V_x,T_a] :
% 190.45/190.59 ( class_Orderings_Olinorder(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.45/190.59 | V_x = V_y
% 190.45/190.59 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 190.45/190.59 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.59 ( class_Groups_Oab__semigroup__add(T_a)
% 190.45/190.59 => 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)) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__left__cancel,axiom,
% 190.45/190.59 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 190.45/190.59 ( class_Groups_Ocancel__semigroup__add(T_b)
% 190.45/190.59 => ( 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)
% 190.45/190.59 <=> V_b_2 = V_c_2 ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__right__cancel,axiom,
% 190.45/190.59 ! [V_c_2,V_a_2,V_b_2,T_b] :
% 190.45/190.59 ( class_Groups_Ocancel__semigroup__add(T_b)
% 190.45/190.59 => ( 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)
% 190.45/190.59 <=> V_b_2 = V_c_2 ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__less__cancel__right,axiom,
% 190.45/190.59 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 190.45/190.59 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 190.45/190.59 => ( 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)))
% 190.45/190.59 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__less__cancel__left,axiom,
% 190.45/190.59 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 190.45/190.59 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 190.45/190.59 => ( 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)))
% 190.45/190.59 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_linorder__antisym__conv3,axiom,
% 190.45/190.59 ! [V_x_2,V_y_2,T_b] :
% 190.45/190.59 ( class_Orderings_Olinorder(T_b)
% 190.45/190.59 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 190.45/190.59 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 190.45/190.59 <=> V_x_2 = V_y_2 ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_linorder__neqE,axiom,
% 190.45/190.59 ! [V_y,V_x,T_a] :
% 190.45/190.59 ( class_Orderings_Olinorder(T_a)
% 190.45/190.59 => ( V_x != V_y
% 190.45/190.59 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_pos__add__strict,axiom,
% 190.45/190.59 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.59 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 190.45/190.59 => 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))) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_less__imp__neq,axiom,
% 190.45/190.59 ! [V_y,V_x,T_a] :
% 190.45/190.59 ( class_Orderings_Oorder(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.45/190.59 => V_x != V_y ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_order__less__not__sym,axiom,
% 190.45/190.59 ! [V_y,V_x,T_a] :
% 190.45/190.59 ( class_Orderings_Opreorder(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.45/190.59 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_order__less__imp__not__less,axiom,
% 190.45/190.59 ! [V_y,V_x,T_a] :
% 190.45/190.59 ( class_Orderings_Opreorder(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.45/190.59 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_order__less__imp__not__eq,axiom,
% 190.45/190.59 ! [V_y,V_x,T_a] :
% 190.45/190.59 ( class_Orderings_Oorder(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.45/190.59 => V_x != V_y ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_order__less__imp__not__eq2,axiom,
% 190.45/190.59 ! [V_y,V_x,T_a] :
% 190.45/190.59 ( class_Orderings_Oorder(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.45/190.59 => V_y != V_x ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__strict__right__mono,axiom,
% 190.45/190.59 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.59 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.45/190.59 => 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))) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__strict__left__mono,axiom,
% 190.45/190.59 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.59 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.45/190.59 => 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))) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_order__less__asym_H,axiom,
% 190.45/190.59 ! [V_b,V_a,T_a] :
% 190.45/190.59 ( class_Orderings_Opreorder(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.45/190.59 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_xt1_I9_J,axiom,
% 190.45/190.59 ! [V_a,V_b,T_a] :
% 190.45/190.59 ( class_Orderings_Oorder(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 190.45/190.59 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_ord__eq__less__trans,axiom,
% 190.45/190.59 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.59 ( class_Orderings_Oord(T_a)
% 190.45/190.59 => ( V_a = V_b
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_xt1_I1_J,axiom,
% 190.45/190.59 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.59 ( class_Orderings_Oorder(T_a)
% 190.45/190.59 => ( V_a = V_b
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_ord__less__eq__trans,axiom,
% 190.45/190.59 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.59 ( class_Orderings_Oord(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.45/190.59 => ( V_b = V_c
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_xt1_I2_J,axiom,
% 190.45/190.59 ! [V_c,V_a,V_b,T_a] :
% 190.45/190.59 ( class_Orderings_Oorder(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 190.45/190.59 => ( V_b = V_c
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_order__less__trans,axiom,
% 190.45/190.59 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.59 ( class_Orderings_Opreorder(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_xt1_I10_J,axiom,
% 190.45/190.59 ! [V_z,V_x,V_y,T_a] :
% 190.45/190.59 ( class_Orderings_Oorder(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__strict__mono,axiom,
% 190.45/190.59 ! [V_d,V_c,V_b,V_a,T_a] :
% 190.45/190.59 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 190.45/190.59 => 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))) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_order__less__asym,axiom,
% 190.45/190.59 ! [V_y,V_x,T_a] :
% 190.45/190.59 ( class_Orderings_Opreorder(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.45/190.59 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__left__imp__eq,axiom,
% 190.45/190.59 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.59 ( class_Groups_Ocancel__semigroup__add(T_a)
% 190.45/190.59 => ( 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)
% 190.45/190.59 => V_b = V_c ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__imp__eq,axiom,
% 190.45/190.59 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.59 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 190.45/190.59 => ( 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)
% 190.45/190.59 => V_b = V_c ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__right__imp__eq,axiom,
% 190.45/190.59 ! [V_c,V_a,V_b,T_a] :
% 190.45/190.59 ( class_Groups_Ocancel__semigroup__add(T_a)
% 190.45/190.59 => ( 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)
% 190.45/190.59 => V_b = V_c ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__less__imp__less__right,axiom,
% 190.45/190.59 ! [V_b,V_c,V_a,T_a] :
% 190.45/190.59 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 190.45/190.59 => ( 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)))
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__less__imp__less__left,axiom,
% 190.45/190.59 ! [V_b,V_a,V_c,T_a] :
% 190.45/190.59 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 190.45/190.59 => ( 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)))
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_linorder__cases,axiom,
% 190.45/190.59 ! [V_y,V_x,T_a] :
% 190.45/190.59 ( class_Orderings_Olinorder(T_a)
% 190.45/190.59 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.45/190.59 => ( V_x != V_y
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__less__le__mono,axiom,
% 190.45/190.59 ! [V_d,V_c,V_b,V_a,T_a] :
% 190.45/190.59 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 190.45/190.59 => 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))) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__le__less__mono,axiom,
% 190.45/190.59 ! [V_d,V_c,V_b,V_a,T_a] :
% 190.45/190.59 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 190.45/190.59 => 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))) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__neg__neg,axiom,
% 190.45/190.59 ! [V_b,V_a,T_a] :
% 190.45/190.59 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.59 => 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))) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__pos__pos,axiom,
% 190.45/190.59 ! [V_b,V_a,T_a] :
% 190.45/190.59 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.45/190.59 => 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))) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 190.45/190.59 ! [V_a_2,T_b] :
% 190.45/190.59 ( class_Groups_Olinordered__ab__group__add(T_b)
% 190.45/190.59 => ( 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)))
% 190.45/190.59 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 190.45/190.59 ! [V_a_2,T_b] :
% 190.45/190.59 ( class_Groups_Olinordered__ab__group__add(T_b)
% 190.45/190.59 => ( 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)))
% 190.45/190.59 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__gr__0,axiom,
% 190.45/190.59 ! [V_na_2,V_m_2] :
% 190.45/190.59 ( 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)))
% 190.45/190.59 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 190.45/190.59 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__diff__inverse,axiom,
% 190.45/190.59 ! [V_n,V_m] :
% 190.45/190.59 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.45/190.59 => 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 ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_less__diff__conv,axiom,
% 190.45/190.59 ! [V_k_2,V_j_2,V_i_2] :
% 190.45/190.59 ( 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)))
% 190.45/190.59 <=> 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)) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_zero__less__two,axiom,
% 190.45/190.59 ! [T_a] :
% 190.45/190.59 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.59 => 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)))) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__pos__nonneg,axiom,
% 190.45/190.59 ! [V_b,V_a,T_a] :
% 190.45/190.59 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.45/190.59 => 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))) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__nonneg__pos,axiom,
% 190.45/190.59 ! [V_b,V_a,T_a] :
% 190.45/190.59 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.45/190.59 => 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))) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__strict__increasing,axiom,
% 190.45/190.59 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.59 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 190.45/190.59 => 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))) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__strict__increasing2,axiom,
% 190.45/190.59 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.59 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 190.45/190.59 => 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))) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__neg__nonpos,axiom,
% 190.45/190.59 ! [V_b,V_a,T_a] :
% 190.45/190.59 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.59 => 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))) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__nonpos__neg,axiom,
% 190.45/190.59 ! [V_b,V_a,T_a] :
% 190.45/190.59 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.59 => 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))) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_nat__diff__split__asm,axiom,
% 190.45/190.59 ! [V_b_2,V_a_2,V_Pa_2] :
% 190.45/190.59 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 190.45/190.59 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 190.45/190.59 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 190.45/190.59 | ? [B_d] :
% 190.45/190.59 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 190.45/190.59 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_nat__diff__split,axiom,
% 190.45/190.59 ! [V_b_2,V_a_2,V_Pa_2] :
% 190.45/190.59 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 190.45/190.59 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 190.45/190.59 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 190.45/190.59 & ! [B_d] :
% 190.45/190.59 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 190.45/190.59 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__le__cancel__right,axiom,
% 190.45/190.59 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 190.45/190.59 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 190.45/190.59 => ( 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)))
% 190.45/190.59 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__le__cancel__left,axiom,
% 190.45/190.59 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 190.45/190.59 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 190.45/190.59 => ( 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)))
% 190.45/190.59 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__right__mono,axiom,
% 190.45/190.59 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.59 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.45/190.59 => 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))) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__left__mono,axiom,
% 190.45/190.59 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.59 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.45/190.59 => 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))) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__mono,axiom,
% 190.45/190.59 ! [V_d,V_c,V_b,V_a,T_a] :
% 190.45/190.59 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 190.45/190.59 => 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))) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__le__imp__le__right,axiom,
% 190.45/190.59 ! [V_b,V_c,V_a,T_a] :
% 190.45/190.59 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 190.45/190.59 => ( 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)))
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__le__imp__le__left,axiom,
% 190.45/190.59 ! [V_b,V_a,V_c,T_a] :
% 190.45/190.59 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 190.45/190.59 => ( 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)))
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__0__left,axiom,
% 190.45/190.59 ! [V_a,T_a] :
% 190.45/190.59 ( class_Groups_Omonoid__add(T_a)
% 190.45/190.59 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__0,axiom,
% 190.45/190.59 ! [V_a,T_a] :
% 190.45/190.59 ( class_Groups_Ocomm__monoid__add(T_a)
% 190.45/190.59 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_double__zero__sym,axiom,
% 190.45/190.59 ! [V_a_2,T_b] :
% 190.45/190.59 ( class_Groups_Olinordered__ab__group__add(T_b)
% 190.45/190.59 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)
% 190.45/190.59 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__0__right,axiom,
% 190.45/190.59 ! [V_a,T_a] :
% 190.45/190.59 ( class_Groups_Omonoid__add(T_a)
% 190.45/190.59 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add_Ocomm__neutral,axiom,
% 190.45/190.59 ! [V_a,T_a] :
% 190.45/190.59 ( class_Groups_Ocomm__monoid__add(T_a)
% 190.45/190.59 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_diff__add__cancel,axiom,
% 190.45/190.59 ! [V_b,V_a,T_a] :
% 190.45/190.59 ( class_Groups_Ogroup__add(T_a)
% 190.45/190.59 => 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 ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__diff__cancel,axiom,
% 190.45/190.59 ! [V_b,V_a,T_a] :
% 190.45/190.59 ( class_Groups_Ogroup__add(T_a)
% 190.45/190.59 => 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 ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_linorder__not__less,axiom,
% 190.45/190.59 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.59 ( class_Orderings_Olinorder(T_b)
% 190.45/190.59 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 190.45/190.59 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_linorder__not__le,axiom,
% 190.45/190.59 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.59 ( class_Orderings_Olinorder(T_b)
% 190.45/190.59 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.45/190.59 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_linorder__le__less__linear,axiom,
% 190.45/190.59 ! [V_y,V_x,T_a] :
% 190.45/190.59 ( class_Orderings_Olinorder(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.45/190.59 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_order__less__le,axiom,
% 190.45/190.59 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.59 ( class_Orderings_Oorder(T_b)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 190.45/190.59 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.45/190.59 & V_x_2 != V_y_2 ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_less__le__not__le,axiom,
% 190.45/190.59 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.59 ( class_Orderings_Opreorder(T_b)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 190.45/190.59 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.45/190.59 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_order__le__less,axiom,
% 190.45/190.59 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.59 ( class_Orderings_Oorder(T_b)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.45/190.59 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 190.45/190.59 | V_x_2 = V_y_2 ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_leI,axiom,
% 190.45/190.59 ! [V_y,V_x,T_a] :
% 190.45/190.59 ( class_Orderings_Olinorder(T_a)
% 190.45/190.59 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_not__leE,axiom,
% 190.45/190.59 ! [V_x,V_y,T_a] :
% 190.45/190.59 ( class_Orderings_Olinorder(T_a)
% 190.45/190.59 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_linorder__antisym__conv1,axiom,
% 190.45/190.59 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.59 ( class_Orderings_Olinorder(T_b)
% 190.45/190.59 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.45/190.59 <=> V_x_2 = V_y_2 ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_order__neq__le__trans,axiom,
% 190.45/190.59 ! [V_b,V_a,T_a] :
% 190.45/190.59 ( class_Orderings_Oorder(T_a)
% 190.45/190.59 => ( V_a != V_b
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_xt1_I12_J,axiom,
% 190.45/190.59 ! [V_b,V_a,T_a] :
% 190.45/190.59 ( class_Orderings_Oorder(T_a)
% 190.45/190.59 => ( V_a != V_b
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_leD,axiom,
% 190.45/190.59 ! [V_x,V_y,T_a] :
% 190.45/190.59 ( class_Orderings_Olinorder(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 190.45/190.59 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_order__less__imp__le,axiom,
% 190.45/190.59 ! [V_y,V_x,T_a] :
% 190.45/190.59 ( class_Orderings_Opreorder(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_linorder__antisym__conv2,axiom,
% 190.45/190.59 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.59 ( class_Orderings_Olinorder(T_b)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.45/190.59 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 190.45/190.59 <=> V_x_2 = V_y_2 ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_order__le__imp__less__or__eq,axiom,
% 190.45/190.59 ! [V_y,V_x,T_a] :
% 190.45/190.59 ( class_Orderings_Oorder(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.45/190.59 | V_x = V_y ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_order__le__neq__trans,axiom,
% 190.45/190.59 ! [V_b,V_a,T_a] :
% 190.45/190.59 ( class_Orderings_Oorder(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.45/190.59 => ( V_a != V_b
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_xt1_I11_J,axiom,
% 190.45/190.59 ! [V_a,V_b,T_a] :
% 190.45/190.59 ( class_Orderings_Oorder(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 190.45/190.59 => ( V_a != V_b
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_order__less__le__trans,axiom,
% 190.45/190.59 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.59 ( class_Orderings_Opreorder(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_xt1_I7_J,axiom,
% 190.45/190.59 ! [V_z,V_x,V_y,T_a] :
% 190.45/190.59 ( class_Orderings_Oorder(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_order__le__less__trans,axiom,
% 190.45/190.59 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.59 ( class_Orderings_Opreorder(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_xt1_I8_J,axiom,
% 190.45/190.59 ! [V_z,V_x,V_y,T_a] :
% 190.45/190.59 ( class_Orderings_Oorder(T_a)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_diff__eq__diff__less,axiom,
% 190.45/190.59 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 190.45/190.59 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.45/190.59 => ( 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)
% 190.45/190.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 190.45/190.59 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_plus__nat_Oadd__0,axiom,
% 190.45/190.59 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 190.45/190.59
% 190.45/190.59 fof(fact_Nat_Oadd__0__right,axiom,
% 190.45/190.59 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__is__0,axiom,
% 190.45/190.59 ! [V_na_2,V_m_2] :
% 190.45/190.59 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.59 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.59 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_add__eq__self__zero,axiom,
% 190.45/190.59 ! [V_n,V_m] :
% 190.45/190.59 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 190.45/190.59 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_not__less0,axiom,
% 190.45/190.59 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_neq0__conv,axiom,
% 190.45/190.59 ! [V_na_2] :
% 190.45/190.59 ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.59 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_less__nat__zero__code,axiom,
% 190.45/190.59 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_gr__implies__not0,axiom,
% 190.45/190.59 ! [V_n,V_m] :
% 190.45/190.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.45/190.59 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_gr0I,axiom,
% 190.45/190.59 ! [V_n] :
% 190.45/190.59 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_le__add2,axiom,
% 190.45/190.59 ! [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))) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_le__add1,axiom,
% 190.45/190.59 ! [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))) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_le__iff__add,axiom,
% 190.45/190.59 ! [V_na_2,V_m_2] :
% 190.45/190.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 190.45/190.59 <=> ? [B_k] : V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 190.45/190.59
% 190.45/190.59 fof(fact_nat__add__left__cancel__le,axiom,
% 190.45/190.59 ! [V_na_2,V_m_2,V_k_2] :
% 190.45/190.60 ( 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)))
% 190.45/190.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_trans__le__add1,axiom,
% 190.45/190.60 ! [V_m,V_j,V_i] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 190.45/190.60 => 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))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_trans__le__add2,axiom,
% 190.45/190.60 ! [V_m,V_j,V_i] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 190.45/190.60 => 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))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_add__le__mono1,axiom,
% 190.45/190.60 ! [V_k,V_j,V_i] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 190.45/190.60 => 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))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_add__le__mono,axiom,
% 190.45/190.60 ! [V_l,V_k,V_j,V_i] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 190.45/190.60 => 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))) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_add__leD2,axiom,
% 190.45/190.60 ! [V_n,V_k,V_m] :
% 190.45/190.60 ( 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))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_add__leD1,axiom,
% 190.45/190.60 ! [V_n,V_k,V_m] :
% 190.45/190.60 ( 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))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_add__leE,axiom,
% 190.45/190.60 ! [V_n,V_k,V_m] :
% 190.45/190.60 ( 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))
% 190.45/190.60 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.45/190.60 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_diff__add__inverse2,axiom,
% 190.45/190.60 ! [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 ).
% 190.45/190.60
% 190.45/190.60 fof(fact_diff__add__inverse,axiom,
% 190.45/190.60 ! [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 ).
% 190.45/190.60
% 190.45/190.60 fof(fact_diff__diff__left,axiom,
% 190.45/190.60 ! [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)) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_diff__cancel,axiom,
% 190.45/190.60 ! [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) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_diff__cancel2,axiom,
% 190.45/190.60 ! [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) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_nat__less__le,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 190.45/190.60 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 190.45/190.60 & V_m_2 != V_na_2 ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_le__eq__less__or__eq,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 190.45/190.60 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 190.45/190.60 | V_m_2 = V_na_2 ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_less__imp__le__nat,axiom,
% 190.45/190.60 ! [V_n,V_m] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_le__neq__implies__less,axiom,
% 190.45/190.60 ! [V_n,V_m] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.45/190.60 => ( V_m != V_n
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_less__or__eq__imp__le,axiom,
% 190.45/190.60 ! [V_n,V_m] :
% 190.45/190.60 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.45/190.60 | V_m = V_n )
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_less__imp__diff__less,axiom,
% 190.45/190.60 ! [V_n,V_k,V_j] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_diff__less__mono2,axiom,
% 190.45/190.60 ! [V_l,V_n,V_m] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 190.45/190.60 => 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))) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_not__one__less__zero,axiom,
% 190.45/190.60 ! [T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.60 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_zero__less__one,axiom,
% 190.45/190.60 ! [T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 190.45/190.60 ! [V_a_2,T_b] :
% 190.45/190.60 ( class_Groups_Olinordered__ab__group__add(T_b)
% 190.45/190.60 => ( 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)))
% 190.45/190.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 190.45/190.60 ! [V_a_2,T_b] :
% 190.45/190.60 ( class_Groups_Olinordered__ab__group__add(T_b)
% 190.45/190.60 => ( 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)))
% 190.45/190.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_add__nonneg__nonneg,axiom,
% 190.45/190.60 ! [V_b,V_a,T_a] :
% 190.45/190.60 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_add__nonneg__eq__0__iff,axiom,
% 190.45/190.60 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.60 ( class_Groups_Oordered__comm__monoid__add(T_b)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2))
% 190.45/190.60 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.60 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.60 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_add__increasing,axiom,
% 190.45/190.60 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.60 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_add__increasing2,axiom,
% 190.45/190.60 ! [V_a,V_b,V_c,T_a] :
% 190.45/190.60 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_add__nonpos__nonpos,axiom,
% 190.45/190.60 ! [V_b,V_a,T_a] :
% 190.45/190.60 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_less__iff__diff__less__0,axiom,
% 190.45/190.60 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.60 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 190.45/190.60 <=> 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))) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_diff__add__0,axiom,
% 190.45/190.60 ! [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) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_diff__diff__right,axiom,
% 190.45/190.60 ! [V_i,V_j,V_k] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_le__diff__conv,axiom,
% 190.45/190.60 ! [V_i_2,V_k_2,V_j_2] :
% 190.45/190.60 ( 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))
% 190.45/190.60 <=> 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))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_le__add__diff,axiom,
% 190.45/190.60 ! [V_m,V_n,V_k] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 190.45/190.60 => 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))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_le__add__diff__inverse,axiom,
% 190.45/190.60 ! [V_m,V_n] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 190.45/190.60 => 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 ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_add__diff__assoc,axiom,
% 190.45/190.60 ! [V_i,V_j,V_k] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_le__diff__conv2,axiom,
% 190.45/190.60 ! [V_i_2,V_j_2,V_k_2] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 190.45/190.60 => ( 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)))
% 190.45/190.60 <=> 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)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_le__add__diff__inverse2,axiom,
% 190.45/190.60 ! [V_m,V_n] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 190.45/190.60 => 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 ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_le__imp__diff__is__add,axiom,
% 190.45/190.60 ! [V_k_2,V_j_2,V_i_2] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 190.45/190.60 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 190.45/190.60 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_diff__add__assoc,axiom,
% 190.45/190.60 ! [V_i,V_j,V_k] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_add__diff__assoc2,axiom,
% 190.45/190.60 ! [V_i,V_j,V_k] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_diff__add__assoc2,axiom,
% 190.45/190.60 ! [V_i,V_j,V_k] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_zero__less__diff,axiom,
% 190.45/190.60 ! [V_m_2,V_na_2] :
% 190.45/190.60 ( 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)))
% 190.45/190.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_diff__less,axiom,
% 190.45/190.60 ! [V_m,V_n] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 190.45/190.60 => 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)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_diff__less__mono,axiom,
% 190.45/190.60 ! [V_c,V_b,V_a] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 190.45/190.60 => 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))) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_less__diff__iff,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2,V_k_2] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2))
% 190.45/190.60 => ( 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)))
% 190.45/190.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_card__ge__0__finite,axiom,
% 190.45/190.60 ! [V_A_2,T_b] :
% 190.45/190.60 ( 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)))
% 190.45/190.60 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_card__gt__0__iff,axiom,
% 190.45/190.60 ! [V_A_2,T_b] :
% 190.45/190.60 ( 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)))
% 190.45/190.60 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.60 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_card_Oinsert,axiom,
% 190.45/190.60 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.60 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.60 => 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)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_card__Diff1__less,axiom,
% 190.45/190.60 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.60 => 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))) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_even__less__0__iff,axiom,
% 190.45/190.60 ! [V_a_2,T_b] :
% 190.45/190.60 ( class_Rings_Olinordered__idom(T_b)
% 190.45/190.60 => ( 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)))
% 190.45/190.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_termination__basic__simps_I3_J,axiom,
% 190.45/190.60 ! [V_z,V_y,V_x] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 190.45/190.60 => 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))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_termination__basic__simps_I4_J,axiom,
% 190.45/190.60 ! [V_y,V_z,V_x] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 190.45/190.60 => 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))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_termination__basic__simps_I5_J,axiom,
% 190.45/190.60 ! [V_y,V_x] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_termination__basic__simps_I2_J,axiom,
% 190.45/190.60 ! [V_y,V_z,V_x] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 190.45/190.60 => 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))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_termination__basic__simps_I1_J,axiom,
% 190.45/190.60 ! [V_z,V_y,V_x] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 190.45/190.60 => 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))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 190.45/190.60 ! [V_a,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 190.45/190.60 ! [V_a,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_add__0__iff,axiom,
% 190.45/190.60 ! [V_a_2,V_b_2,T_b] :
% 190.45/190.60 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 190.45/190.60 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2)
% 190.45/190.60 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_double__eq__0__iff,axiom,
% 190.45/190.60 ! [V_a_2,T_b] :
% 190.45/190.60 ( class_Groups_Olinordered__ab__group__add(T_b)
% 190.45/190.60 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.60 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_card__Plus__conv__if,axiom,
% 190.45/190.60 ! [V_B_2,T_c,V_A_2,T_b] :
% 190.45/190.60 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.60 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 190.45/190.60 => 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)) )
% 190.45/190.60 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.60 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 190.45/190.60 => 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) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_less__fun__def,axiom,
% 190.45/190.60 ! [V_g_2,V_f_2,T_b,T_c] :
% 190.45/190.60 ( class_Orderings_Oord(T_c)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 190.45/190.60 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 190.45/190.60 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_psubsetD,axiom,
% 190.45/190.60 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_not__psubset__empty,axiom,
% 190.45/190.60 ! [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)))) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_subset__psubset__trans,axiom,
% 190.45/190.60 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_psubset__subset__trans,axiom,
% 190.45/190.60 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_psubset__imp__subset,axiom,
% 190.45/190.60 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_subset__iff__psubset__eq,axiom,
% 190.45/190.60 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.60 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.60 | V_A_2 = V_B_2 ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_psubset__eq,axiom,
% 190.45/190.60 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.60 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.60 & V_A_2 != V_B_2 ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_finite__PlusD_I2_J,axiom,
% 190.45/190.60 ! [V_B_2,V_A_2,T_c,T_b] :
% 190.45/190.60 ( 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)))
% 190.45/190.60 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_finite__PlusD_I1_J,axiom,
% 190.45/190.60 ! [V_B_2,V_A_2,T_c,T_b] :
% 190.45/190.60 ( 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)))
% 190.45/190.60 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_finite__Plus,axiom,
% 190.45/190.60 ! [V_B_2,T_c,V_A_2,T_b] :
% 190.45/190.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 190.45/190.60 => 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))) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_finite__Plus__iff,axiom,
% 190.45/190.60 ! [V_B_2,V_A_2,T_c,T_b] :
% 190.45/190.60 ( 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)))
% 190.45/190.60 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.60 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_psubset__card__mono,axiom,
% 190.45/190.60 ! [V_A_2,V_B_2,T_b] :
% 190.45/190.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.60 => 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))) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 190.45/190.60 ! [V_c,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 190.45/190.60 ! [V_d,V_c,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 190.45/190.60 ! [V_d,V_c,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 190.45/190.60 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 190.45/190.60 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 190.45/190.60 ! [V_d,V_c,V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_card__psubset,axiom,
% 190.45/190.60 ! [V_A_2,V_B_2,T_b] :
% 190.45/190.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.60 => ( 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)))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_psubset__insert__iff,axiom,
% 190.45/190.60 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 190.45/190.60 ( 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)))
% 190.45/190.60 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 190.45/190.60 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 190.45/190.60 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.60 => 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)) )
% 190.45/190.60 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_card__Plus,axiom,
% 190.45/190.60 ! [V_B_2,T_c,V_A_2,T_b] :
% 190.45/190.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 190.45/190.60 => 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)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Plus__eq__empty__conv,axiom,
% 190.45/190.60 ! [V_B_2,V_A_2,T_c,T_b] :
% 190.45/190.60 ( 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))
% 190.45/190.60 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.60 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Ints__odd__less__0,axiom,
% 190.45/190.60 ! [V_a_2,T_b] :
% 190.45/190.60 ( class_Rings_Olinordered__idom(T_b)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 190.45/190.60 => ( 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)))
% 190.45/190.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_ex__least__nat__less,axiom,
% 190.45/190.60 ! [V_na_2,V_Pa_2] :
% 190.45/190.60 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 190.45/190.60 => ( hBOOL(hAPP(V_Pa_2,V_na_2))
% 190.45/190.60 => ? [B_k] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_na_2))
% 190.45/190.60 & ! [B_i] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 190.45/190.60 => ~ hBOOL(hAPP(V_Pa_2,B_i)) )
% 190.45/190.60 & 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)))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_finite__empty__induct,axiom,
% 190.45/190.60 ! [V_Pa_2,V_A_2,T_b] :
% 190.45/190.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.60 => ( hBOOL(hAPP(V_Pa_2,V_A_2))
% 190.45/190.60 => ( ! [B_a,B_A] :
% 190.45/190.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A))
% 190.45/190.60 => ( hBOOL(hAPP(V_Pa_2,B_A))
% 190.45/190.60 => 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)))))) ) ) )
% 190.45/190.60 => hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_card__Suc__Diff1,axiom,
% 190.45/190.60 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.60 => 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) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_card_Oeq__fold__g,axiom,
% 190.45/190.60 ! [V_A_2,T_b] :
% 190.45/190.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_card__def,axiom,
% 190.45/190.60 ! [V_A_2,T_b] :
% 190.45/190.60 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.60 => 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) )
% 190.45/190.60 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.60 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Ints__odd__nonzero,axiom,
% 190.45/190.60 ! [V_a_2,T_b] :
% 190.45/190.60 ( class_Int_Oring__char__0(T_b)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 190.45/190.60 => 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) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 190.45/190.60 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] :
% 190.45/190.60 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 190.45/190.60 => ( ! [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))
% 190.45/190.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 190.45/190.60 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.60 => 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)) ) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_fun__left__comm__idem__remove,axiom,
% 190.45/190.60 ! [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))))) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_lessI,axiom,
% 190.45/190.60 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Suc__mono,axiom,
% 190.45/190.60 ! [V_n,V_m] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_zero__less__Suc,axiom,
% 190.45/190.60 ! [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))) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_psubset__trans,axiom,
% 190.45/190.60 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 190.45/190.60 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] :
% 190.45/190.60 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_n__not__Suc__n,axiom,
% 190.45/190.60 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Suc__n__not__n,axiom,
% 190.45/190.60 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 190.45/190.60
% 190.45/190.60 fof(fact_nat_Oinject,axiom,
% 190.45/190.60 ! [V_nat_H_2,V_nat_2] :
% 190.45/190.60 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 190.45/190.60 <=> V_nat_2 = V_nat_H_2 ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Suc__inject,axiom,
% 190.45/190.60 ! [V_y,V_x] :
% 190.45/190.60 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 190.45/190.60 => V_x = V_y ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 190.45/190.60 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 190.45/190.60 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Zero__not__Suc,axiom,
% 190.45/190.60 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_nat_Osimps_I2_J,axiom,
% 190.45/190.60 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Suc__not__Zero,axiom,
% 190.45/190.60 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_nat_Osimps_I3_J,axiom,
% 190.45/190.60 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Zero__neq__Suc,axiom,
% 190.45/190.60 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Suc__neq__Zero,axiom,
% 190.45/190.60 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_not__less__eq,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2] :
% 190.45/190.60 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 190.45/190.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_less__Suc__eq,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 190.45/190.60 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 190.45/190.60 | V_m_2 = V_na_2 ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Suc__less__eq,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2] :
% 190.45/190.60 ( 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)))
% 190.45/190.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_not__less__less__Suc__eq,axiom,
% 190.45/190.60 ! [V_m_2,V_na_2] :
% 190.45/190.60 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2)))
% 190.45/190.60 <=> V_na_2 = V_m_2 ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_less__antisym,axiom,
% 190.45/190.60 ! [V_m,V_n] :
% 190.45/190.60 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 190.45/190.60 => V_m = V_n ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_less__SucI,axiom,
% 190.45/190.60 ! [V_n,V_m] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Suc__lessI,axiom,
% 190.45/190.60 ! [V_n,V_m] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.45/190.60 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_less__trans__Suc,axiom,
% 190.45/190.60 ! [V_k,V_j,V_i] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_less__SucE,axiom,
% 190.45/190.60 ! [V_n,V_m] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 190.45/190.60 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.45/190.60 => V_m = V_n ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Suc__lessD,axiom,
% 190.45/190.60 ! [V_n,V_m] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Suc__less__SucD,axiom,
% 190.45/190.60 ! [V_n,V_m] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_add__Suc__right,axiom,
% 190.45/190.60 ! [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)) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_add__Suc,axiom,
% 190.45/190.60 ! [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)) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_add__Suc__shift,axiom,
% 190.45/190.60 ! [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)) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Suc__n__not__le__n,axiom,
% 190.45/190.60 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_not__less__eq__eq,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2] :
% 190.45/190.60 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 190.45/190.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_le__Suc__eq,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 190.45/190.60 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 190.45/190.60 | V_m_2 = hAPP(c_Nat_OSuc,V_na_2) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Suc__le__mono,axiom,
% 190.45/190.60 ! [V_m_2,V_na_2] :
% 190.45/190.60 ( 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)))
% 190.45/190.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_le__SucI,axiom,
% 190.45/190.60 ! [V_n,V_m] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_le__SucE,axiom,
% 190.45/190.60 ! [V_n,V_m] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 190.45/190.60 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.45/190.60 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Suc__leD,axiom,
% 190.45/190.60 ! [V_n,V_m] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_diff__Suc__Suc,axiom,
% 190.45/190.60 ! [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) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Suc__diff__diff,axiom,
% 190.45/190.60 ! [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) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_fold__image__empty,axiom,
% 190.45/190.60 ! [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 ).
% 190.45/190.60
% 190.45/190.60 fof(fact_fun__left__comm__idem__insert,axiom,
% 190.45/190.60 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_less__Suc__eq__0__disj,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 190.45/190.60 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.60 | ? [B_j] :
% 190.45/190.60 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 190.45/190.60 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_na_2)) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_less__Suc0,axiom,
% 190.45/190.60 ! [V_na_2] :
% 190.45/190.60 ( 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))))
% 190.45/190.60 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_gr0__conv__Suc,axiom,
% 190.45/190.60 ! [V_na_2] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 190.45/190.60 <=> ? [B_m] : V_na_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_add__is__1,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2] :
% 190.45/190.60 ( 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))
% 190.45/190.60 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 190.45/190.60 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 190.45/190.60 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.60 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_one__is__add,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2] :
% 190.45/190.60 ( 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)
% 190.45/190.60 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 190.45/190.60 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 190.45/190.60 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.60 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_less__add__Suc1,axiom,
% 190.45/190.60 ! [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)))) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_less__add__Suc2,axiom,
% 190.45/190.60 ! [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)))) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_less__iff__Suc__add,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 190.45/190.60 <=> ? [B_k] : V_na_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Suc__le__lessD,axiom,
% 190.45/190.60 ! [V_n,V_m] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_le__less__Suc__eq,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2)))
% 190.45/190.60 <=> V_na_2 = V_m_2 ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Suc__leI,axiom,
% 190.45/190.60 ! [V_n,V_m] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_le__imp__less__Suc,axiom,
% 190.45/190.60 ! [V_n,V_m] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Suc__le__eq,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2))
% 190.45/190.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_less__Suc__eq__le,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 190.45/190.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_less__eq__Suc__le,axiom,
% 190.45/190.60 ! [V_m_2,V_na_2] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 190.45/190.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_diff__less__Suc,axiom,
% 190.45/190.60 ! [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))) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Suc__diff__le,axiom,
% 190.45/190.60 ! [V_m,V_n] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_One__nat__def,axiom,
% 190.45/190.60 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_diff__Suc__1,axiom,
% 190.45/190.60 ! [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 ).
% 190.45/190.60
% 190.45/190.60 fof(fact_less__eq__Suc__le__raw,axiom,
% 190.45/190.60 ! [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)) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 190.45/190.60 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.60 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.45/190.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.45/190.60 => 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) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Ints__0,axiom,
% 190.45/190.60 ! [T_b] :
% 190.45/190.60 ( class_Rings_Oring__1(T_b)
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Ints__add,axiom,
% 190.45/190.60 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.60 ( class_Rings_Oring__1(T_b)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Ints__diff,axiom,
% 190.45/190.60 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.60 ( class_Rings_Oring__1(T_b)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Ints__1,axiom,
% 190.45/190.60 ! [T_b] :
% 190.45/190.60 ( class_Rings_Oring__1(T_b)
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Suc__pred,axiom,
% 190.45/190.60 ! [V_n] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.45/190.60 => 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 ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_diff__Suc__less,axiom,
% 190.45/190.60 ! [V_i,V_n] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_diff__Suc__diff__eq1,axiom,
% 190.45/190.60 ! [V_m,V_j,V_k] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_diff__Suc__diff__eq2,axiom,
% 190.45/190.60 ! [V_m,V_j,V_k] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_card__insert__if,axiom,
% 190.45/190.60 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.60 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.60 => 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) )
% 190.45/190.60 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.60 => 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)) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_card__insert__disjoint,axiom,
% 190.45/190.60 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.60 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.60 => 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)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Suc__diff__1,axiom,
% 190.45/190.60 ! [V_n] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.45/190.60 => 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 ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Ints__double__eq__0__iff,axiom,
% 190.45/190.60 ! [V_a_2,T_b] :
% 190.45/190.60 ( class_Int_Oring__char__0(T_b)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 190.45/190.60 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.60 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_card__insert,axiom,
% 190.45/190.60 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.60 => 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)))))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_add__eq__if,axiom,
% 190.45/190.60 ! [V_n,V_m] :
% 190.45/190.60 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.60 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 190.45/190.60 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.60 => 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)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Suc__pred_H,axiom,
% 190.45/190.60 ! [V_n] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.45/190.60 => 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))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 190.45/190.60 ! [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) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Suc__eq__plus1__left,axiom,
% 190.45/190.60 ! [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) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Suc__eq__plus1,axiom,
% 190.45/190.60 ! [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)) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_card__Suc__eq,axiom,
% 190.45/190.60 ! [V_k_2,V_A_2,T_b] :
% 190.45/190.60 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 190.45/190.60 <=> ? [B_b,B_B] :
% 190.45/190.60 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B)
% 190.45/190.60 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B))
% 190.45/190.60 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2
% 190.45/190.60 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.60 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_diff__Suc,axiom,
% 190.45/190.60 ! [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)) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_the__eq__trivial,axiom,
% 190.45/190.60 ! [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 ).
% 190.45/190.60
% 190.45/190.60 fof(fact_the__sym__eq__trivial,axiom,
% 190.45/190.60 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 190.45/190.60
% 190.45/190.60 fof(fact_nat__case__0,axiom,
% 190.45/190.60 ! [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 ).
% 190.45/190.60
% 190.45/190.60 fof(fact_nat__case__Suc,axiom,
% 190.45/190.60 ! [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) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2))
% 190.45/190.60 <=> 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_card_Oneutral,axiom,
% 190.45/190.60 ! [V_A_2,T_b] :
% 190.45/190.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.60 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.60 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 190.45/190.60 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_expand__Suc,axiom,
% 190.45/190.60 ! [V_v] :
% 190.45/190.60 ( 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)))
% 190.45/190.60 => 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))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 190.45/190.60 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.60 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.45/190.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.45/190.60 => 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) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 190.45/190.60 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.60 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.45/190.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.45/190.60 => 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)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_finite__induct,axiom,
% 190.45/190.60 ! [V_Pa_2,V_F_2,T_b] :
% 190.45/190.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 190.45/190.60 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 190.45/190.60 => ( ! [B_x,B_F] :
% 190.45/190.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 190.45/190.60 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F))
% 190.45/190.60 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 190.45/190.60 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) )
% 190.45/190.60 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 190.45/190.60 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.60 => ( 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)
% 190.45/190.60 => 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)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_convex__bound__lt,axiom,
% 190.45/190.60 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 190.45/190.60 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 190.45/190.60 => 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)) ) ) ) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 190.45/190.60 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.60 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.45/190.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 190.45/190.60 => 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) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_left__diff__distrib__number__of,axiom,
% 190.45/190.60 ! [V_v,V_b,V_a,T_b] :
% 190.45/190.60 ( ( class_Int_Onumber(T_b)
% 190.45/190.60 & class_Rings_Oring(T_b) )
% 190.45/190.60 => 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))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_right__diff__distrib__number__of,axiom,
% 190.45/190.60 ! [V_c,V_b,V_v,T_b] :
% 190.45/190.60 ( ( class_Int_Onumber(T_b)
% 190.45/190.60 & class_Rings_Oring(T_b) )
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_left__distrib__number__of,axiom,
% 190.45/190.60 ! [V_v,V_b,V_a,T_b] :
% 190.45/190.60 ( ( class_Int_Onumber(T_b)
% 190.45/190.60 & class_Rings_Osemiring(T_b) )
% 190.45/190.60 => 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))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_right__distrib__number__of,axiom,
% 190.45/190.60 ! [V_c,V_b,V_v,T_b] :
% 190.45/190.60 ( ( class_Int_Onumber(T_b)
% 190.45/190.60 & class_Rings_Osemiring(T_b) )
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_number__of__mult,axiom,
% 190.45/190.60 ! [V_w,V_v,T_a] :
% 190.45/190.60 ( class_Int_Onumber__ring(T_a)
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 190.45/190.60 ! [V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 190.45/190.60 ! [V_ry,V_rx,V_lx,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 190.45/190.60 ! [V_ry,V_rx,V_lx,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_number__of__reorient,axiom,
% 190.45/190.60 ! [V_x_2,V_w_2,T_b] :
% 190.45/190.60 ( class_Int_Onumber(T_b)
% 190.45/190.60 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2
% 190.45/190.60 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_arith__simps_I32_J,axiom,
% 190.45/190.60 ! [V_w,V_v,T_a] :
% 190.45/190.60 ( class_Int_Onumber__ring(T_a)
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_eq__number__of,axiom,
% 190.45/190.60 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.60 ( ( class_Int_Onumber__ring(T_b)
% 190.45/190.60 & class_Int_Oring__char__0(T_b) )
% 190.45/190.60 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 190.45/190.60 <=> V_x_2 = V_y_2 ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__number__of__left,axiom,
% 190.45/190.60 ! [V_z,V_w,V_v,T_a] :
% 190.45/190.60 ( class_Int_Onumber__ring(T_a)
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 190.45/190.60 ! [V_rx,V_ly,V_lx,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 190.45/190.60 ! [V_rx,V_ly,V_lx,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 190.45/190.60 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => 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))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 190.45/190.60 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 190.45/190.60 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 190.45/190.60 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.60 ( class_Groups_Oab__semigroup__mult(T_a)
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_times_Oidem,axiom,
% 190.45/190.60 ! [V_a,T_a] :
% 190.45/190.60 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 190.45/190.60 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__idem,axiom,
% 190.45/190.60 ! [V_x,T_a] :
% 190.45/190.60 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 190.45/190.60 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__left__idem,axiom,
% 190.45/190.60 ! [V_b,V_a,T_a] :
% 190.45/190.60 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 190.45/190.60 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.60 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.45/190.60 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_le__number__of,axiom,
% 190.45/190.60 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.60 ( ( class_Int_Onumber__ring(T_b)
% 190.45/190.60 & class_Rings_Olinordered__idom(T_b) )
% 190.45/190.60 => ( 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)))
% 190.45/190.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_less__number__of,axiom,
% 190.45/190.60 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.60 ( ( class_Int_Onumber__ring(T_b)
% 190.45/190.60 & class_Rings_Olinordered__idom(T_b) )
% 190.45/190.60 => ( 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)))
% 190.45/190.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_add__number__of__left,axiom,
% 190.45/190.60 ! [V_z,V_w,V_v,T_a] :
% 190.45/190.60 ( class_Int_Onumber__ring(T_a)
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_add__number__of__eq,axiom,
% 190.45/190.60 ! [V_w,V_v,T_a] :
% 190.45/190.60 ( class_Int_Onumber__ring(T_a)
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_number__of__add,axiom,
% 190.45/190.60 ! [V_w,V_v,T_a] :
% 190.45/190.60 ( class_Int_Onumber__ring(T_a)
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 190.45/190.60 ! [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) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 190.45/190.60 ! [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) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_number__of__diff,axiom,
% 190.45/190.60 ! [V_w,V_v,T_a] :
% 190.45/190.60 ( class_Int_Onumber__ring(T_a)
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__zero__left,axiom,
% 190.45/190.60 ! [V_a,T_a] :
% 190.45/190.60 ( class_Rings_Omult__zero(T_a)
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__zero__right,axiom,
% 190.45/190.60 ! [V_a,T_a] :
% 190.45/190.60 ( class_Rings_Omult__zero(T_a)
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__eq__0__iff,axiom,
% 190.45/190.60 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.60 ( class_Rings_Oring__no__zero__divisors(T_b)
% 190.45/190.60 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.60 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.60 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_no__zero__divisors,axiom,
% 190.45/190.60 ! [V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Ono__zero__divisors(T_a)
% 190.45/190.60 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.60 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.60 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_divisors__zero,axiom,
% 190.45/190.60 ! [V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Ono__zero__divisors(T_a)
% 190.45/190.60 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.60 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.60 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 190.45/190.60 ! [V_a,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 190.45/190.60 ! [V_a,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_combine__common__factor,axiom,
% 190.45/190.60 ! [V_c,V_b,V_e,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Osemiring(T_a)
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__class_Odistrib,axiom,
% 190.45/190.60 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring(T_a)
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_crossproduct__eq,axiom,
% 190.45/190.60 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] :
% 190.45/190.60 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 190.45/190.60 => ( 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))
% 190.45/190.60 <=> ( V_w_2 = V_x_2
% 190.45/190.60 | V_y_2 = V_z_2 ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 190.45/190.60 ! [V_b,V_m,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 190.45/190.60 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_crossproduct__noteq,axiom,
% 190.45/190.60 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 190.45/190.60 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 190.45/190.60 => ( ( V_a_2 != V_b_2
% 190.45/190.60 & V_c_2 != V_d_2 )
% 190.45/190.60 <=> 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)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 190.45/190.60 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__1__left,axiom,
% 190.45/190.60 ! [V_a,T_a] :
% 190.45/190.60 ( class_Groups_Omonoid__mult(T_a)
% 190.45/190.60 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__1,axiom,
% 190.45/190.60 ! [V_a,T_a] :
% 190.45/190.60 ( class_Groups_Ocomm__monoid__mult(T_a)
% 190.45/190.60 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__1__right,axiom,
% 190.45/190.60 ! [V_a,T_a] :
% 190.45/190.60 ( class_Groups_Omonoid__mult(T_a)
% 190.45/190.60 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult_Ocomm__neutral,axiom,
% 190.45/190.60 ! [V_a,T_a] :
% 190.45/190.60 ( class_Groups_Ocomm__monoid__mult(T_a)
% 190.45/190.60 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 190.45/190.60 ! [V_a,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 190.45/190.60 ! [V_a,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__0,axiom,
% 190.45/190.60 ! [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) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__0__right,axiom,
% 190.45/190.60 ! [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) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__is__0,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2] :
% 190.45/190.60 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.60 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.60 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__cancel1,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2,V_k_2] :
% 190.45/190.60 ( 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)
% 190.45/190.60 <=> ( V_m_2 = V_na_2
% 190.45/190.60 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__cancel2,axiom,
% 190.45/190.60 ! [V_na_2,V_k_2,V_m_2] :
% 190.45/190.60 ( 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)
% 190.45/190.60 <=> ( V_m_2 = V_na_2
% 190.45/190.60 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Suc__mult__cancel1,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2,V_k_2] :
% 190.45/190.60 ( 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)
% 190.45/190.60 <=> V_m_2 = V_na_2 ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_add__mult__distrib2,axiom,
% 190.45/190.60 ! [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)) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_add__mult__distrib,axiom,
% 190.45/190.60 ! [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)) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_le__square,axiom,
% 190.45/190.60 ! [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))) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_le__cube,axiom,
% 190.45/190.60 ! [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)))) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__le__mono1,axiom,
% 190.45/190.60 ! [V_k,V_j,V_i] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 190.45/190.60 => 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))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__le__mono2,axiom,
% 190.45/190.60 ! [V_k,V_j,V_i] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 190.45/190.60 => 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))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__le__mono,axiom,
% 190.45/190.60 ! [V_l,V_k,V_j,V_i] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 190.45/190.60 => 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))) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_diff__mult__distrib2,axiom,
% 190.45/190.60 ! [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)) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_diff__mult__distrib,axiom,
% 190.45/190.60 ! [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)) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_nat__mult__1,axiom,
% 190.45/190.60 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 190.45/190.60
% 190.45/190.60 fof(fact_nat__1__eq__mult__iff,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2] :
% 190.45/190.60 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2)
% 190.45/190.60 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 190.45/190.60 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_nat__mult__1__right,axiom,
% 190.45/190.60 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 190.45/190.60
% 190.45/190.60 fof(fact_nat__mult__eq__1__iff,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2] :
% 190.45/190.60 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 190.45/190.60 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 190.45/190.60 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_fun__left__comm__idem,axiom,
% 190.45/190.60 ! [T_b] :
% 190.45/190.60 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 190.45/190.60 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_le__number__of__eq__not__less,axiom,
% 190.45/190.60 ! [V_w_2,V_v_2,T_b] :
% 190.45/190.60 ( ( class_Int_Onumber(T_b)
% 190.45/190.60 & class_Orderings_Olinorder(T_b) )
% 190.45/190.60 => ( 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)))
% 190.45/190.60 <=> ~ 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))) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_add__number__of__diff1,axiom,
% 190.45/190.60 ! [V_c,V_w,V_v,T_a] :
% 190.45/190.60 ( class_Int_Onumber__ring(T_a)
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_zero__le__square,axiom,
% 190.45/190.60 ! [V_a,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__ring(T_a)
% 190.45/190.60 => 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))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_zero__le__mult__iff,axiom,
% 190.45/190.60 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.60 ( class_Rings_Olinordered__ring__strict(T_b)
% 190.45/190.60 => ( 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)))
% 190.45/190.60 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 190.45/190.60 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 190.45/190.60 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.60 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__le__0__iff,axiom,
% 190.45/190.60 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.60 ( class_Rings_Olinordered__ring__strict(T_b)
% 190.45/190.60 => ( 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)))
% 190.45/190.60 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 190.45/190.60 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 190.45/190.60 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.60 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__nonneg__nonneg,axiom,
% 190.45/190.60 ! [V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Oordered__cancel__semiring(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__nonneg__nonpos,axiom,
% 190.45/190.60 ! [V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Oordered__cancel__semiring(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__nonneg__nonpos2,axiom,
% 190.45/190.60 ! [V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Oordered__cancel__semiring(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__nonpos__nonneg,axiom,
% 190.45/190.60 ! [V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Oordered__cancel__semiring(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__nonpos__nonpos,axiom,
% 190.45/190.60 ! [V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Oordered__ring(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__right__mono,axiom,
% 190.45/190.60 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Oordered__semiring(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__left__mono,axiom,
% 190.45/190.60 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Oordered__semiring(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__mult__left__mono,axiom,
% 190.45/190.60 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Oordered__comm__semiring(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__right__mono__neg,axiom,
% 190.45/190.60 ! [V_c,V_a,V_b,T_a] :
% 190.45/190.60 ( class_Rings_Oordered__ring(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__left__mono__neg,axiom,
% 190.45/190.60 ! [V_c,V_a,V_b,T_a] :
% 190.45/190.60 ( class_Rings_Oordered__ring(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__mono_H,axiom,
% 190.45/190.60 ! [V_d,V_c,V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Oordered__semiring(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.45/190.60 => 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))) ) ) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__mono,axiom,
% 190.45/190.60 ! [V_d,V_c,V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Oordered__semiring(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.45/190.60 => 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))) ) ) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_split__mult__pos__le,axiom,
% 190.45/190.60 ! [V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Oordered__ring(T_a)
% 190.45/190.60 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.60 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 190.45/190.60 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.60 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 190.45/190.60 => 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))) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_split__mult__neg__le,axiom,
% 190.45/190.60 ! [V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Oordered__cancel__semiring(T_a)
% 190.45/190.60 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.60 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 190.45/190.60 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.60 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 190.45/190.60 => 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))) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_not__square__less__zero,axiom,
% 190.45/190.60 ! [V_a,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__ring(T_a)
% 190.45/190.60 => ~ 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))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__less__cancel__right__disj,axiom,
% 190.45/190.60 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 190.45/190.60 ( class_Rings_Olinordered__ring__strict(T_b)
% 190.45/190.60 => ( 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)))
% 190.45/190.60 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.45/190.60 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 190.45/190.60 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.60 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__less__cancel__left__disj,axiom,
% 190.45/190.60 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 190.45/190.60 ( class_Rings_Olinordered__ring__strict(T_b)
% 190.45/190.60 => ( 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)))
% 190.45/190.60 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.45/190.60 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 190.45/190.60 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.60 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__less__cancel__left__pos,axiom,
% 190.45/190.60 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 190.45/190.60 ( class_Rings_Olinordered__ring__strict(T_b)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.45/190.60 => ( 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)))
% 190.45/190.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__pos__pos,axiom,
% 190.45/190.60 ! [V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__pos__neg,axiom,
% 190.45/190.60 ! [V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__pos__neg2,axiom,
% 190.45/190.60 ! [V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_zero__less__mult__pos,axiom,
% 190.45/190.60 ! [V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.45/190.60 => ( 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)))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_zero__less__mult__pos2,axiom,
% 190.45/190.60 ! [V_a,V_b,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.45/190.60 => ( 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)))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__less__cancel__left__neg,axiom,
% 190.45/190.60 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 190.45/190.60 ( class_Rings_Olinordered__ring__strict(T_b)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.60 => ( 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)))
% 190.45/190.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__neg__pos,axiom,
% 190.45/190.60 ! [V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__neg__neg,axiom,
% 190.45/190.60 ! [V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__ring__strict(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__strict__right__mono,axiom,
% 190.45/190.60 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__strict__left__mono,axiom,
% 190.45/190.60 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__mult__strict__left__mono,axiom,
% 190.45/190.60 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__strict__right__mono__neg,axiom,
% 190.45/190.60 ! [V_c,V_a,V_b,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__ring__strict(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__strict__left__mono__neg,axiom,
% 190.45/190.60 ! [V_c,V_a,V_b,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__ring__strict(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_add__scale__eq__noteq,axiom,
% 190.45/190.60 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 190.45/190.60 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 190.45/190.60 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.60 => ( ( V_a = V_b
% 190.45/190.60 & V_c != V_d )
% 190.45/190.60 => 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)) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_sum__squares__eq__zero__iff,axiom,
% 190.45/190.60 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.60 ( class_Rings_Olinordered__ring__strict(T_b)
% 190.45/190.60 => ( 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)
% 190.45/190.60 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.60 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_less__1__mult,axiom,
% 190.45/190.60 ! [V_n,V_m,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_eq__add__iff1,axiom,
% 190.45/190.60 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 190.45/190.60 ( class_Rings_Oring(T_b)
% 190.45/190.60 => ( 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)
% 190.45/190.60 <=> 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 ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_eq__add__iff2,axiom,
% 190.45/190.60 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 190.45/190.60 ( class_Rings_Oring(T_b)
% 190.45/190.60 => ( 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)
% 190.45/190.60 <=> 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) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 190.45/190.60 ! [V_m,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 190.45/190.60 ! [V_a,V_m,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 190.45/190.60 ! [V_m,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__eq__1__iff,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2] :
% 190.45/190.60 ( 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))
% 190.45/190.60 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 190.45/190.60 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__less__mono2,axiom,
% 190.45/190.60 ! [V_k,V_j,V_i] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 190.45/190.60 => 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))) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__less__mono1,axiom,
% 190.45/190.60 ! [V_k,V_j,V_i] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 190.45/190.60 => 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))) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__less__cancel2,axiom,
% 190.45/190.60 ! [V_na_2,V_k_2,V_m_2] :
% 190.45/190.60 ( 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)))
% 190.45/190.60 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 190.45/190.60 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__less__cancel1,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2,V_k_2] :
% 190.45/190.60 ( 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)))
% 190.45/190.60 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 190.45/190.60 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_nat__0__less__mult__iff,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2] :
% 190.45/190.60 ( 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)))
% 190.45/190.60 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 190.45/190.60 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Suc__mult__less__cancel1,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2,V_k_2] :
% 190.45/190.60 ( 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)))
% 190.45/190.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__Suc,axiom,
% 190.45/190.60 ! [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)) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__Suc__right,axiom,
% 190.45/190.60 ! [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)) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Suc__mult__le__cancel1,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2,V_k_2] :
% 190.45/190.60 ( 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)))
% 190.45/190.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Ints__number__of,axiom,
% 190.45/190.60 ! [V_w_2,T_b] :
% 190.45/190.60 ( class_Int_Onumber__ring(T_b)
% 190.45/190.60 => 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))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__eq__self__implies__10,axiom,
% 190.45/190.60 ! [V_n,V_m] :
% 190.45/190.60 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 190.45/190.60 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 190.45/190.60 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_Ints__mult,axiom,
% 190.45/190.60 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.60 ( class_Rings_Oring__1(T_b)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 190.45/190.60 => 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))) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__le__cancel__left__pos,axiom,
% 190.45/190.60 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 190.45/190.60 ( class_Rings_Olinordered__ring__strict(T_b)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.45/190.60 => ( 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)))
% 190.45/190.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__le__cancel__left__neg,axiom,
% 190.45/190.60 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 190.45/190.60 ( class_Rings_Olinordered__ring__strict(T_b)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.60 => ( 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)))
% 190.45/190.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__strict__mono,axiom,
% 190.45/190.60 ! [V_d,V_c,V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.45/190.60 => 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))) ) ) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__strict__mono_H,axiom,
% 190.45/190.60 ! [V_d,V_c,V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.45/190.60 => 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))) ) ) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__less__le__imp__less,axiom,
% 190.45/190.60 ! [V_d,V_c,V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.45/190.60 => 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))) ) ) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__le__less__imp__less,axiom,
% 190.45/190.60 ! [V_d,V_c,V_b,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.45/190.60 => 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))) ) ) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__right__less__imp__less,axiom,
% 190.45/190.60 ! [V_b,V_c,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__semiring(T_a)
% 190.45/190.60 => ( 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)))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__less__imp__less__right,axiom,
% 190.45/190.60 ! [V_b,V_c,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.45/190.60 => ( 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)))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__left__less__imp__less,axiom,
% 190.45/190.60 ! [V_b,V_a,V_c,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__semiring(T_a)
% 190.45/190.60 => ( 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)))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__less__imp__less__left,axiom,
% 190.45/190.60 ! [V_b,V_a,V_c,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.45/190.60 => ( 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)))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__right__le__imp__le,axiom,
% 190.45/190.60 ! [V_b,V_c,V_a,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.45/190.60 => ( 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)))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__left__le__imp__le,axiom,
% 190.45/190.60 ! [V_b,V_a,V_c,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.45/190.60 => ( 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)))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_sum__squares__ge__zero,axiom,
% 190.45/190.60 ! [V_y,V_x,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__ring(T_a)
% 190.45/190.60 => 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)))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_sum__squares__le__zero__iff,axiom,
% 190.45/190.60 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.60 ( class_Rings_Olinordered__ring__strict(T_b)
% 190.45/190.60 => ( 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)))
% 190.45/190.60 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.60 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_not__sum__squares__lt__zero,axiom,
% 190.45/190.60 ! [V_y,V_x,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__ring(T_a)
% 190.45/190.60 => ~ 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))) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_sum__squares__gt__zero__iff,axiom,
% 190.45/190.60 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.60 ( class_Rings_Olinordered__ring__strict(T_b)
% 190.45/190.60 => ( 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))))
% 190.45/190.60 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.60 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__right__le__one__le,axiom,
% 190.45/190.60 ! [V_y,V_x,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 190.45/190.60 => 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)) ) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__left__le__one__le,axiom,
% 190.45/190.60 ! [V_y,V_x,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 190.45/190.60 => 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)) ) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_le__add__iff2,axiom,
% 190.45/190.60 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 190.45/190.60 ( class_Rings_Oordered__ring(T_b)
% 190.45/190.60 => ( 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)))
% 190.45/190.60 <=> 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))) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_le__add__iff1,axiom,
% 190.45/190.60 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 190.45/190.60 ( class_Rings_Oordered__ring(T_b)
% 190.45/190.60 => ( 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)))
% 190.45/190.60 <=> 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)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_less__add__iff1,axiom,
% 190.45/190.60 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 190.45/190.60 ( class_Rings_Oordered__ring(T_b)
% 190.45/190.60 => ( 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)))
% 190.45/190.60 <=> 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)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_less__add__iff2,axiom,
% 190.45/190.60 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 190.45/190.60 ( class_Rings_Oordered__ring(T_b)
% 190.45/190.60 => ( 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)))
% 190.45/190.60 <=> 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))) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_one__less__mult,axiom,
% 190.45/190.60 ! [V_m,V_n] :
% 190.45/190.60 ( 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))
% 190.45/190.60 => ( 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))
% 190.45/190.60 => 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))) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_n__less__n__mult__m,axiom,
% 190.45/190.60 ! [V_m,V_n] :
% 190.45/190.60 ( 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))
% 190.45/190.60 => ( 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))
% 190.45/190.60 => 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))) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_n__less__m__mult__n,axiom,
% 190.45/190.60 ! [V_m,V_n] :
% 190.45/190.60 ( 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))
% 190.45/190.60 => ( 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))
% 190.45/190.60 => 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))) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_one__le__mult__iff,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2] :
% 190.45/190.60 ( 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)))
% 190.45/190.60 <=> ( 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))
% 190.45/190.60 & 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)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__le__cancel1,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2,V_k_2] :
% 190.45/190.60 ( 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)))
% 190.45/190.60 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__le__cancel2,axiom,
% 190.45/190.60 ! [V_na_2,V_k_2,V_m_2] :
% 190.45/190.60 ( 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)))
% 190.45/190.60 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 190.45/190.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_fold__image__distrib,axiom,
% 190.45/190.60 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 190.45/190.60 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.60 => 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)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_convex__bound__le,axiom,
% 190.45/190.60 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 190.45/190.60 ( class_Rings_Olinordered__semiring__1(T_a)
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 190.45/190.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 190.45/190.60 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 190.45/190.60 => 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)) ) ) ) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_fold__image__insert,axiom,
% 190.45/190.60 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] :
% 190.45/190.60 ( class_Groups_Oab__semigroup__mult(T_c)
% 190.45/190.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.60 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.60 => 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)) ) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_mult__eq__if,axiom,
% 190.45/190.60 ! [V_n,V_m] :
% 190.45/190.60 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.60 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 190.45/190.60 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.60 => 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)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_nat__less__add__iff2,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 190.45/190.60 => ( 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)))
% 190.45/190.60 <=> 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))) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_nat__less__add__iff1,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 190.45/190.60 => ( 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)))
% 190.45/190.60 <=> 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)) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_nat__eq__add__iff2,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 190.45/190.60 => ( 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)
% 190.45/190.60 <=> 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) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_nat__diff__add__eq2,axiom,
% 190.45/190.60 ! [V_n,V_m,V_u,V_j,V_i] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 190.45/190.60 => 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)) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_nat__le__add__iff2,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 190.45/190.60 => ( 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)))
% 190.45/190.60 <=> 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))) ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_nat__eq__add__iff1,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 190.45/190.60 => ( 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)
% 190.45/190.60 <=> 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 ) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_nat__diff__add__eq1,axiom,
% 190.45/190.60 ! [V_n,V_m,V_u,V_i,V_j] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 190.45/190.60 => 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) ) ).
% 190.45/190.60
% 190.45/190.60 fof(fact_nat__le__add__iff1,axiom,
% 190.45/190.60 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 190.45/190.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> 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)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__mult__le__cancel1,axiom,
% 190.45/190.61 ! [V_na_2,V_m_2,V_k_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zdiff__zmult__distrib,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zdiff__zmult__distrib2,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zmult__1,axiom,
% 190.45/190.61 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zmult__1__right,axiom,
% 190.45/190.61 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zadd__zmult__distrib,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_plus__numeral__code_I9_J,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zadd__zmult__distrib2,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_less__eq__number__of__int__code,axiom,
% 190.45/190.61 ! [V_l_2,V_k_2] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zmult__commute,axiom,
% 190.45/190.61 ! [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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_times__numeral__code_I5_J,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zmult__assoc,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__mult__commute,axiom,
% 190.45/190.61 ! [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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__mult__assoc,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zmult__zless__mono2,axiom,
% 190.45/190.61 ! [V_k,V_j,V_i] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 190.45/190.61 => 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))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_less__number__of__int__code,axiom,
% 190.45/190.61 ! [V_l_2,V_k_2] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_pos__zmult__eq__1__iff,axiom,
% 190.45/190.61 ! [V_na_2,V_m_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 190.45/190.61 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 190.45/190.61 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 190.45/190.61 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_int__one__le__iff__zero__less,axiom,
% 190.45/190.61 ! [V_z_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zle__add1__eq__le,axiom,
% 190.45/190.61 ! [V_z_2,V_w_2] :
% 190.45/190.61 ( 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))))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zle__diff1__eq,axiom,
% 190.45/190.61 ! [V_z_2,V_w_2] :
% 190.45/190.61 ( 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))))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_add1__zle__eq,axiom,
% 190.45/190.61 ! [V_z_2,V_w_2] :
% 190.45/190.61 ( 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))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_le__imp__0__less,axiom,
% 190.45/190.61 ! [V_z] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 190.45/190.61 => 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zless__imp__add1__zle,axiom,
% 190.45/190.61 ! [V_z,V_w] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_odd__less__0,axiom,
% 190.45/190.61 ! [V_z_2] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_less__bin__lemma,axiom,
% 190.45/190.61 ! [V_l_2,V_k_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 190.45/190.61 <=> 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_int__0__less__1,axiom,
% 190.45/190.61 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))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zless__add1__eq,axiom,
% 190.45/190.61 ! [V_z_2,V_w_2] :
% 190.45/190.61 ( 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))))
% 190.45/190.61 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 190.45/190.61 | V_w_2 = V_z_2 ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zadd__strict__right__mono,axiom,
% 190.45/190.61 ! [V_k,V_j,V_i] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 190.45/190.61 => 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zless__linear,axiom,
% 190.45/190.61 ! [V_y,V_x] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 190.45/190.61 | V_x = V_y
% 190.45/190.61 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zadd__zless__mono,axiom,
% 190.45/190.61 ! [V_z,V_z_H,V_w,V_w_H] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 190.45/190.61 => 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))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zless__le,axiom,
% 190.45/190.61 ! [V_w_2,V_z_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 190.45/190.61 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 190.45/190.61 & V_z_2 != V_w_2 ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zle__antisym,axiom,
% 190.45/190.61 ! [V_w,V_z] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 190.45/190.61 => V_z = V_w ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zle__trans,axiom,
% 190.45/190.61 ! [V_k,V_j,V_i] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zle__linear,axiom,
% 190.45/190.61 ! [V_w,V_z] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 190.45/190.61 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zle__refl,axiom,
% 190.45/190.61 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zadd__left__mono,axiom,
% 190.45/190.61 ! [V_k,V_j,V_i] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 190.45/190.61 => 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zadd__0__right,axiom,
% 190.45/190.61 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zadd__0,axiom,
% 190.45/190.61 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zadd__commute,axiom,
% 190.45/190.61 ! [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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zadd__left__commute,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zadd__assoc,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_odd__nonzero,axiom,
% 190.45/190.61 ! [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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 190.45/190.61 ! [V_na_2,V_m_2,V_k_2] :
% 190.45/190.61 ( 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)
% 190.45/190.61 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.61 | V_m_2 = V_na_2 ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_left__add__mult__distrib,axiom,
% 190.45/190.61 ! [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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__mult__less__cancel1,axiom,
% 190.45/190.61 ! [V_na_2,V_m_2,V_k_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__mult__eq__cancel1,axiom,
% 190.45/190.61 ! [V_na_2,V_m_2,V_k_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 190.45/190.61 => ( 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)
% 190.45/190.61 <=> V_m_2 = V_na_2 ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_q__pos__lemma,axiom,
% 190.45/190.61 ! [V_r_H,V_q_H,V_b_H] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_q__neg__lemma,axiom,
% 190.45/190.61 ! [V_r_H,V_q_H,V_b_H] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_unique__quotient__lemma,axiom,
% 190.45/190.61 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zdiv__mono2__lemma,axiom,
% 190.45/190.61 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 190.45/190.61 ( 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)
% 190.45/190.61 => ( 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)))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_unique__quotient__lemma__neg,axiom,
% 190.45/190.61 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 190.45/190.61 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 190.45/190.61 ( 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)
% 190.45/190.61 => ( 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)))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_self__quotient__aux1,axiom,
% 190.45/190.61 ! [V_q,V_r,V_a] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 190.45/190.61 => ( 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))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_self__quotient__aux2,axiom,
% 190.45/190.61 ! [V_q,V_r,V_a] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 190.45/190.61 => ( 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))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 190.45/190.61 ! [V_y,V_x] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 190.45/190.61 => 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))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_number__of__is__id,axiom,
% 190.45/190.61 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 190.45/190.61
% 190.45/190.61 fof(fact_int__0__neq__1,axiom,
% 190.45/190.61 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 190.45/190.61 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))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 190.45/190.61 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))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 190.45/190.61 ! [V_y,V_x] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 190.45/190.61 => 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))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_tsub__def,axiom,
% 190.45/190.61 ! [V_x,V_y] :
% 190.45/190.61 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 190.45/190.61 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 190.45/190.61 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 190.45/190.61 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 190.45/190.61 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] :
% 190.45/190.61 ( 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))
% 190.45/190.61 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.61 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 190.45/190.61 | ? [B_x,B_y] :
% 190.45/190.61 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 190.45/190.61 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2))
% 190.45/190.61 & 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) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_of__nat__number__of__lemma,axiom,
% 190.45/190.61 ! [V_v,T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => ( ( 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)))
% 190.45/190.61 => 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) )
% 190.45/190.61 & ( ~ 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)))
% 190.45/190.61 => 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) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_fold__graph__permute__diff,axiom,
% 190.45/190.61 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] :
% 190.45/190.61 ( class_Groups_Oab__semigroup__mult(T_b)
% 190.45/190.61 => ( 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))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 190.45/190.61 => 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)) ) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_fold1__insert,axiom,
% 190.45/190.61 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.61 ( class_Groups_Oab__semigroup__mult(T_b)
% 190.45/190.61 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.61 => 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)) ) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mult__nat__number__of,axiom,
% 190.45/190.61 ! [V_v_H,V_v] :
% 190.45/190.61 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 190.45/190.61 => 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) )
% 190.45/190.61 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 190.45/190.61 => 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)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__number__of__mult__left,axiom,
% 190.45/190.61 ! [V_k,V_v_H,V_v] :
% 190.45/190.61 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 190.45/190.61 => 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) )
% 190.45/190.61 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 190.45/190.61 => 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) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_fold__image__1,axiom,
% 190.45/190.61 ! [V_f_2,V_S_2,T_b,T_c] :
% 190.45/190.61 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 190.45/190.61 => ( ! [B_x] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 190.45/190.61 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 190.45/190.61 => 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) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_fold__image__cong,axiom,
% 190.45/190.61 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 190.45/190.61 ( class_Groups_Oab__semigroup__mult(T_c)
% 190.45/190.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.61 => ( ! [B_x] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.61 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 190.45/190.61 => 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) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_of__nat__eq__iff,axiom,
% 190.45/190.61 ! [V_na_2,V_m_2,T_b] :
% 190.45/190.61 ( class_Nat_Osemiring__char__0(T_b)
% 190.45/190.61 => ( 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)
% 190.45/190.61 <=> V_m_2 = V_na_2 ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Pls__def,axiom,
% 190.45/190.61 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I19_J,axiom,
% 190.45/190.61 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I2_J,axiom,
% 190.45/190.61 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_add__Pls,axiom,
% 190.45/190.61 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 190.45/190.61
% 190.45/190.61 fof(fact_add__Pls__right,axiom,
% 190.45/190.61 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mult__Pls,axiom,
% 190.45/190.61 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 190.45/190.61
% 190.45/190.61 fof(fact_diff__bin__simps_I1_J,axiom,
% 190.45/190.61 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 190.45/190.61
% 190.45/190.61 fof(fact_empty__fold__graphE,axiom,
% 190.45/190.61 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.61 ( 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))
% 190.45/190.61 => V_x_2 = V_z_2 ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_fold__graph_OemptyI,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_fold__graph__imp__finite,axiom,
% 190.45/190.61 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.61 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 190.45/190.61 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_int__0,axiom,
% 190.45/190.61 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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_int__eq__0__conv,axiom,
% 190.45/190.61 ! [V_na_2] :
% 190.45/190.61 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.61 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 190.45/190.61 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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zero__zle__int,axiom,
% 190.45/190.61 ! [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))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 190.45/190.61 ! [V_Pa_2] :
% 190.45/190.61 ( ! [B_x] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 190.45/190.61 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.45/190.61 <=> ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 190.45/190.61 ! [V_Pa_2] :
% 190.45/190.61 ( ? [B_x] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 190.45/190.61 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.45/190.61 <=> ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 190.45/190.61 ! [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))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_int__less__0__conv,axiom,
% 190.45/190.61 ! [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))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zless__int,axiom,
% 190.45/190.61 ! [V_na_2,V_m_2] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 190.45/190.61 ! [V_y_2,V_x_2] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zle__int,axiom,
% 190.45/190.61 ! [V_na_2,V_m_2] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 190.45/190.61 ! [V_y_2,V_x_2] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zadd__int__left,axiom,
% 190.45/190.61 ! [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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zadd__int,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zle__iff__zadd,axiom,
% 190.45/190.61 ! [V_z_2,V_w_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 190.45/190.61 <=> ? [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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_of__nat__0__le__iff,axiom,
% 190.45/190.61 ! [V_n,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zero__le__imp__of__nat,axiom,
% 190.45/190.61 ! [V_m,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_of__nat__less__0__iff,axiom,
% 190.45/190.61 ! [V_m,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ~ 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_number__of__Pls,axiom,
% 190.45/190.61 ! [T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_semiring__norm_I112_J,axiom,
% 190.45/190.61 ! [T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_int__mult,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zmult__int,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_add__numeral__0__right,axiom,
% 190.45/190.61 ! [V_a,T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => 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 ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_add__numeral__0,axiom,
% 190.45/190.61 ! [V_a,T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => 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 ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_of__nat__0,axiom,
% 190.45/190.61 ! [T_a] :
% 190.45/190.61 ( class_Rings_Osemiring__1(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_of__nat__less__imp__less,axiom,
% 190.45/190.61 ! [V_n,V_m,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( 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)))
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_less__imp__of__nat__less,axiom,
% 190.45/190.61 ! [V_n,V_m,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.45/190.61 => 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))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_of__nat__less__iff,axiom,
% 190.45/190.61 ! [V_na_2,V_m_2,T_b] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_b)
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_int__1,axiom,
% 190.45/190.61 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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 190.45/190.61 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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_of__nat__le__iff,axiom,
% 190.45/190.61 ! [V_na_2,V_m_2,T_b] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_b)
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_of__nat__add,axiom,
% 190.45/190.61 ! [V_n,V_m,T_a] :
% 190.45/190.61 ( class_Rings_Osemiring__1(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_bin__less__0__simps_I1_J,axiom,
% 190.45/190.61 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_semiring__norm_I113_J,axiom,
% 190.45/190.61 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__number__of__Pls,axiom,
% 190.45/190.61 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_of__nat__mult,axiom,
% 190.45/190.61 ! [V_n,V_m,T_a] :
% 190.45/190.61 ( class_Rings_Osemiring__1(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zero__is__num__zero,axiom,
% 190.45/190.61 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_of__nat__1,axiom,
% 190.45/190.61 ! [T_a] :
% 190.45/190.61 ( class_Rings_Osemiring__1(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Ints__of__nat,axiom,
% 190.45/190.61 ! [V_na_2,T_b] :
% 190.45/190.61 ( class_Rings_Oring__1(T_b)
% 190.45/190.61 => 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_fold1__singleton__def,axiom,
% 190.45/190.61 ! [V_a_2,V_f_2,T_b,V_g_2] :
% 190.45/190.61 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2)
% 190.45/190.61 => 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 ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_fold1__singleton,axiom,
% 190.45/190.61 ! [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 ).
% 190.45/190.61
% 190.45/190.61 fof(fact_fold__graph_OinsertI,axiom,
% 190.45/190.61 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 190.45/190.61 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.61 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 190.45/190.61 => 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))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_folding__one_Oeq__fold,axiom,
% 190.45/190.61 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 190.45/190.61 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 190.45/190.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.61 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_int__le__0__conv,axiom,
% 190.45/190.61 ! [V_na_2] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_int__Suc0__eq__1,axiom,
% 190.45/190.61 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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zless__iff__Suc__zadd,axiom,
% 190.45/190.61 ! [V_z_2,V_w_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 190.45/190.61 <=> ? [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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_int__Suc,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zdiff__int,axiom,
% 190.45/190.61 ! [V_m,V_n] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_of__nat__Suc,axiom,
% 190.45/190.61 ! [V_m,T_a] :
% 190.45/190.61 ( class_Rings_Osemiring__1(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_eq__number__of__0,axiom,
% 190.45/190.61 ! [V_v_2] :
% 190.45/190.61 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_eq__0__number__of,axiom,
% 190.45/190.61 ! [V_v_2] :
% 190.45/190.61 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_less__nat__number__of,axiom,
% 190.45/190.61 ! [V_v_H_2,V_v_2] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 190.45/190.61 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_of__nat__diff,axiom,
% 190.45/190.61 ! [V_m,V_n,T_a] :
% 190.45/190.61 ( class_Rings_Oring__1(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 190.45/190.61 => 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)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_le__nat__number__of,axiom,
% 190.45/190.61 ! [V_v_H_2,V_v_2] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_fold__graph__insert__swap,axiom,
% 190.45/190.61 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] :
% 190.45/190.61 ( class_Groups_Oab__semigroup__mult(T_b)
% 190.45/190.61 => ( 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))
% 190.45/190.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 190.45/190.61 => 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))) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zero__less__int__conv,axiom,
% 190.45/190.61 ! [V_na_2] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zmult__zless__mono2__lemma,axiom,
% 190.45/190.61 ! [V_k,V_j,V_i] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 190.45/190.61 => 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))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_le__special_I3_J,axiom,
% 190.45/190.61 ! [V_x_2,T_b] :
% 190.45/190.61 ( ( class_Int_Onumber__ring(T_b)
% 190.45/190.61 & class_Rings_Olinordered__idom(T_b) )
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_le__special_I1_J,axiom,
% 190.45/190.61 ! [V_y_2,T_b] :
% 190.45/190.61 ( ( class_Int_Onumber__ring(T_b)
% 190.45/190.61 & class_Rings_Olinordered__idom(T_b) )
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_less__special_I3_J,axiom,
% 190.45/190.61 ! [V_x_2,T_b] :
% 190.45/190.61 ( ( class_Int_Onumber__ring(T_b)
% 190.45/190.61 & class_Rings_Olinordered__idom(T_b) )
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_less__special_I1_J,axiom,
% 190.45/190.61 ! [V_y_2,T_b] :
% 190.45/190.61 ( ( class_Int_Onumber__ring(T_b)
% 190.45/190.61 & class_Rings_Olinordered__idom(T_b) )
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_of__nat__0__less__iff,axiom,
% 190.45/190.61 ! [V_na_2,T_b] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_b)
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_less__0__number__of,axiom,
% 190.45/190.61 ! [V_v_2] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_add__nat__number__of,axiom,
% 190.45/190.61 ! [V_v_H,V_v] :
% 190.45/190.61 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 190.45/190.61 => 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) )
% 190.45/190.61 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 190.45/190.61 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 190.45/190.61 => 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) )
% 190.45/190.61 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 190.45/190.61 => 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)) ) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_fold1__insert__idem,axiom,
% 190.45/190.61 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.61 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 190.45/190.61 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.61 => 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)) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Diff1__fold__graph,axiom,
% 190.45/190.61 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.61 ( 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))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.61 => 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))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 190.45/190.61 ! [V_y,V_x] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 190.45/190.61 => 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))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_tsub__eq,axiom,
% 190.45/190.61 ! [V_x,V_y] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 190.45/190.61 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zdiff__int__split,axiom,
% 190.45/190.61 ! [V_y_2,V_x_2,V_Pa_2] :
% 190.45/190.61 ( 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))))
% 190.45/190.61 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 190.45/190.61 => 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)))) )
% 190.45/190.61 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 190.45/190.61 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_number__of2,axiom,
% 190.45/190.61 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))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 190.45/190.61 ! [V_na_2,T_b] :
% 190.45/190.61 ( class_Rings_Osemiring__1(T_b)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__1__add__number__of,axiom,
% 190.45/190.61 ! [V_v] :
% 190.45/190.61 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 190.45/190.61 => 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) )
% 190.45/190.61 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 190.45/190.61 => 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)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__number__of__add__1,axiom,
% 190.45/190.61 ! [V_v] :
% 190.45/190.61 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 190.45/190.61 => 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) )
% 190.45/190.61 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 190.45/190.61 => 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)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_fold1Set_Ointros,axiom,
% 190.45/190.61 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] :
% 190.45/190.61 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2))
% 190.45/190.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.61 => 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)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__number__of__diff__1,axiom,
% 190.45/190.61 ! [V_v] :
% 190.45/190.61 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 190.45/190.61 => 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) )
% 190.45/190.61 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 190.45/190.61 => 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)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_fold1__in,axiom,
% 190.45/190.61 ! [V_A_2,T_b] :
% 190.45/190.61 ( class_Groups_Oab__semigroup__mult(T_b)
% 190.45/190.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.61 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.61 => ( ! [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))))))
% 190.45/190.61 => 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)) ) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 190.45/190.61 ! [V_B_2,V_A_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.61 <=> 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 190.45/190.61 ! [V_B_2,V_A_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.61 <=> 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 190.45/190.61 ! [V_A_2,V_x_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 190.45/190.61 <=> 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 190.45/190.61 ! [V_B_2,V_A_2] :
% 190.45/190.61 ( V_A_2 = V_B_2
% 190.45/190.61 <=> 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 190.45/190.61 ! [V_y_2,V_x_2] :
% 190.45/190.61 ( 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)
% 190.45/190.61 <=> V_x_2 = V_y_2 ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 190.45/190.61 ! [V_A_2] :
% 190.45/190.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 190.45/190.61 <=> 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 190.45/190.61 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))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_int__int__eq,axiom,
% 190.45/190.61 ! [V_na_2,V_m_2] :
% 190.45/190.61 ( 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)
% 190.45/190.61 <=> V_m_2 = V_na_2 ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_succ__pred,axiom,
% 190.45/190.61 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 190.45/190.61
% 190.45/190.61 fof(fact_empty__fold1SetE,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_fold1Set__nonempty,axiom,
% 190.45/190.61 ! [V_x_2,V_A_2,V_f_2,T_b] :
% 190.45/190.61 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2))
% 190.45/190.61 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_le__iff__pred__less,axiom,
% 190.45/190.61 ! [V_l_2,V_k_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_pred__def,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 190.45/190.61 ! [V_i_2,V_inc_2,T_b] :
% 190.45/190.61 ( class_Rings_Osemiring__1(T_b)
% 190.45/190.61 => 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 ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 190.45/190.61 ! [V_i_2,V_na_2,V_inc_2,T_b] :
% 190.45/190.61 ( class_Rings_Osemiring__1(T_b)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_succ__def,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_fold1Set__sing,axiom,
% 190.45/190.61 ! [V_b_2,V_a_2,V_f_2,T_b] :
% 190.45/190.61 ( 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))
% 190.45/190.61 <=> V_a_2 = V_b_2 ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_number__of__succ,axiom,
% 190.45/190.61 ! [V_k,T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_fold1__def,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Suc__diff__number__of,axiom,
% 190.45/190.61 ! [V_m,V_v] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 190.45/190.61 => 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Suc__nat__number__of__add,axiom,
% 190.45/190.61 ! [V_n,V_v] :
% 190.45/190.61 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.45/190.61 => 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) )
% 190.45/190.61 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.45/190.61 => 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) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Nats__number__of,axiom,
% 190.45/190.61 ! [V_w_2,T_b] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_b)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 190.45/190.61 => 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))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_decr__mult__lemma,axiom,
% 190.45/190.61 ! [V_k_2,V_Pa_2,V_d_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 190.45/190.61 => ( ! [B_x] :
% 190.45/190.61 ( hBOOL(hAPP(V_Pa_2,B_x))
% 190.45/190.61 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 190.45/190.61 => ! [B_x] :
% 190.45/190.61 ( hBOOL(hAPP(V_Pa_2,B_x))
% 190.45/190.61 => 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)))) ) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_hom__fold1__commute,axiom,
% 190.45/190.61 ! [V_N_2,V_h_2,T_b] :
% 190.45/190.61 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 190.45/190.61 => ( ! [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))
% 190.45/190.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 190.45/190.61 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.61 => 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)) ) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_incr__mult__lemma,axiom,
% 190.45/190.61 ! [V_k_2,V_Pa_2,V_d_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 190.45/190.61 => ( ! [B_x] :
% 190.45/190.61 ( hBOOL(hAPP(V_Pa_2,B_x))
% 190.45/190.61 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 190.45/190.61 => ! [B_x] :
% 190.45/190.61 ( hBOOL(hAPP(V_Pa_2,B_x))
% 190.45/190.61 => 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)))) ) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Suc__nat__number__of,axiom,
% 190.45/190.61 ! [V_v] :
% 190.45/190.61 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.45/190.61 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 190.45/190.61 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.45/190.61 => 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)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zero__less__imp__eq__int,axiom,
% 190.45/190.61 ! [V_k] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 190.45/190.61 => ? [B_n] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 190.45/190.61 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_of__nat__number__of__eq,axiom,
% 190.45/190.61 ! [V_v,T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.45/190.61 => 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) )
% 190.45/190.61 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.45/190.61 => 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) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_not__neg__0,axiom,
% 190.45/190.61 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_not__neg__int,axiom,
% 190.45/190.61 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_not__neg__1,axiom,
% 190.45/190.61 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_not__neg__eq__ge__0,axiom,
% 190.45/190.61 ! [V_x_2] :
% 190.45/190.61 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_neg__def,axiom,
% 190.45/190.61 ! [V_Z_2] :
% 190.45/190.61 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_not__neg__number__of__Pls,axiom,
% 190.45/190.61 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_neg__imp__number__of__eq__0,axiom,
% 190.45/190.61 ! [V_v] :
% 190.45/190.61 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.45/190.61 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Nats__0,axiom,
% 190.45/190.61 ! [T_b] :
% 190.45/190.61 ( class_Rings_Osemiring__1(T_b)
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Nats__add,axiom,
% 190.45/190.61 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.61 ( class_Rings_Osemiring__1(T_b)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 190.45/190.61 => 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))) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Nats__mult,axiom,
% 190.45/190.61 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.61 ( class_Rings_Osemiring__1(T_b)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 190.45/190.61 => 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))) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Nats__1,axiom,
% 190.45/190.61 ! [T_b] :
% 190.45/190.61 ( class_Rings_Osemiring__1(T_b)
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_of__nat__in__Nats,axiom,
% 190.45/190.61 ! [V_na_2,T_b] :
% 190.45/190.61 ( class_Rings_Osemiring__1(T_b)
% 190.45/190.61 => 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_eq__nat__number__of,axiom,
% 190.45/190.61 ! [V_v_H_2,V_v_2] :
% 190.45/190.61 ( 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)
% 190.45/190.61 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 190.45/190.61 => 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))) )
% 190.45/190.61 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 190.45/190.61 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 190.45/190.61 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 190.45/190.61 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 190.45/190.61 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__number__of__add__left,axiom,
% 190.45/190.61 ! [V_k,V_v_H,V_v] :
% 190.45/190.61 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.45/190.61 => 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) )
% 190.45/190.61 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.45/190.61 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 190.45/190.61 => 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) )
% 190.45/190.61 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 190.45/190.61 => 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) ) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_int__nat__number__of,axiom,
% 190.45/190.61 ! [V_v] :
% 190.45/190.61 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.45/190.61 => 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) )
% 190.45/190.61 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.45/190.61 => 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) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_neg__number__of__pred__iff__0,axiom,
% 190.45/190.61 ! [V_v_2] :
% 190.45/190.61 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 190.45/190.61 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 190.45/190.61 ! [V_N_2] :
% 190.45/190.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 190.45/190.61 <=> ? [B_m] :
% 190.45/190.61 ! [B_x] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_finite__nat__set__iff__bounded,axiom,
% 190.45/190.61 ! [V_N_2] :
% 190.45/190.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 190.45/190.61 <=> ? [B_m] :
% 190.45/190.61 ! [B_x] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__case__add__eq__if,axiom,
% 190.45/190.61 ! [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)))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_le__Suc__number__of,axiom,
% 190.45/190.61 ! [V_v_2,V_na_2] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 <=> 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))))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_le__number__of__Suc,axiom,
% 190.45/190.61 ! [V_na_2,V_v_2] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 <=> 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)))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_less__Suc__number__of,axiom,
% 190.45/190.61 ! [V_v_2,V_na_2] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 <=> 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))))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_less__number__of__Suc,axiom,
% 190.45/190.61 ! [V_na_2,V_v_2] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 <=> 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)))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__number__of__Bit1,axiom,
% 190.45/190.61 ! [V_w_2] :
% 190.45/190.61 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 190.45/190.61 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 190.45/190.61 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 190.45/190.61 => 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)))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I51_J,axiom,
% 190.45/190.61 ! [V_l_2,V_k_2] :
% 190.45/190.61 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 190.45/190.61 <=> V_k_2 = V_l_2 ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I34_J,axiom,
% 190.45/190.61 ! [V_l_2,V_k_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_less__eq__int__code_I16_J,axiom,
% 190.45/190.61 ! [V_k2_2,V_k1_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I17_J,axiom,
% 190.45/190.61 ! [V_l_2,V_k_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_less__int__code_I16_J,axiom,
% 190.45/190.61 ! [V_k2_2,V_k1_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__int,axiom,
% 190.45/190.61 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I39_J,axiom,
% 190.45/190.61 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I46_J,axiom,
% 190.45/190.61 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 190.45/190.61
% 190.45/190.61 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 190.45/190.61 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)))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 190.45/190.61 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__0,axiom,
% 190.45/190.61 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_ex__nat,axiom,
% 190.45/190.61 ! [V_Pa_2] :
% 190.45/190.61 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 190.45/190.61 <=> ? [B_x] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 190.45/190.61 & hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_all__nat,axiom,
% 190.45/190.61 ! [V_Pa_2] :
% 190.45/190.61 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 190.45/190.61 <=> ! [B_x] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 190.45/190.61 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 190.45/190.61 ! [V_y_2,V_x_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 190.45/190.61 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 190.45/190.61 <=> V_x_2 = V_y_2 ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_eq__nat__nat__iff,axiom,
% 190.45/190.61 ! [V_z_H_2,V_z_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 190.45/190.61 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 190.45/190.61 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_bin__less__0__simps_I4_J,axiom,
% 190.45/190.61 ! [V_w_2] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__number__of,axiom,
% 190.45/190.61 ! [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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__number__of__def,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I22_J,axiom,
% 190.45/190.61 ! [V_k_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I12_J,axiom,
% 190.45/190.61 ! [V_k_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 190.45/190.61 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Bit1__def,axiom,
% 190.45/190.61 ! [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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_neg__nat,axiom,
% 190.45/190.61 ! [V_z] :
% 190.45/190.61 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 190.45/190.61 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_not__neg__nat,axiom,
% 190.45/190.61 ! [V_z] :
% 190.45/190.61 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 190.45/190.61 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_neg__number__of__Bit1,axiom,
% 190.45/190.61 ! [V_w_2] :
% 190.45/190.61 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 190.45/190.61 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 190.45/190.61 ! [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 ).
% 190.45/190.61
% 190.45/190.61 fof(fact_succ__Pls,axiom,
% 190.45/190.61 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 190.45/190.61 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))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__0__iff,axiom,
% 190.45/190.61 ! [V_i_2] :
% 190.45/190.61 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__le__0,axiom,
% 190.45/190.61 ! [V_z] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.61 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__mono__iff,axiom,
% 190.45/190.61 ! [V_w_2,V_z_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zless__nat__conj,axiom,
% 190.45/190.61 ! [V_z_2,V_w_2] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 190.45/190.61 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_number__of__Bit1,axiom,
% 190.45/190.61 ! [V_w,T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 190.45/190.61 ! [V_y_2,V_x_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__1,axiom,
% 190.45/190.61 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mult__numeral__1__right,axiom,
% 190.45/190.61 ! [V_a,T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => 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 ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mult__numeral__1,axiom,
% 190.45/190.61 ! [V_a,T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => 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 ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__0__le,axiom,
% 190.45/190.61 ! [V_z] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 190.45/190.61 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_int__eq__iff,axiom,
% 190.45/190.61 ! [V_z_2,V_m_2] :
% 190.45/190.61 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 190.45/190.61 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 190.45/190.61 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_int__nat__eq,axiom,
% 190.45/190.61 ! [V_z] :
% 190.45/190.61 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 190.45/190.61 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 190.45/190.61 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 190.45/190.61 => 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) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zless__nat__eq__int__zless,axiom,
% 190.45/190.61 ! [V_z_2,V_m_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 190.45/190.61 <=> 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_semiring__norm_I110_J,axiom,
% 190.45/190.61 ! [T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_numeral__1__eq__1,axiom,
% 190.45/190.61 ! [T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I5_J,axiom,
% 190.45/190.61 ! [V_k_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I29_J,axiom,
% 190.45/190.61 ! [V_k_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_one__is__num__one,axiom,
% 190.45/190.61 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Numeral1__eq1__nat,axiom,
% 190.45/190.61 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__numeral__1__eq__1,axiom,
% 190.45/190.61 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zero__less__nat__eq,axiom,
% 190.45/190.61 ! [V_z_2] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 190.45/190.61 ! [V_y_2,V_x_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__less__eq__zless,axiom,
% 190.45/190.61 ! [V_z_2,V_w_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__eq__iff2,axiom,
% 190.45/190.61 ! [V_w_2,V_m_2] :
% 190.45/190.61 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 190.45/190.61 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 190.45/190.61 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 190.45/190.61 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 190.45/190.61 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__eq__iff,axiom,
% 190.45/190.61 ! [V_m_2,V_w_2] :
% 190.45/190.61 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 190.45/190.61 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 190.45/190.61 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 190.45/190.61 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 190.45/190.61 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__le__eq__zle,axiom,
% 190.45/190.61 ! [V_z_2,V_w_2] :
% 190.45/190.61 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 190.45/190.61 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_split__nat,axiom,
% 190.45/190.61 ! [V_i_2,V_Pa_2] :
% 190.45/190.61 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,V_i_2)))
% 190.45/190.61 <=> ( ! [B_n] :
% 190.45/190.61 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 190.45/190.61 => hBOOL(hAPP(V_Pa_2,B_n)) )
% 190.45/190.61 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.61 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 190.45/190.61 ! [V_y,V_x] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 190.45/190.61 => 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)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__add__distrib,axiom,
% 190.45/190.61 ! [V_z_H,V_z] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 190.45/190.61 => 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)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_int__eq__iff__number__of,axiom,
% 190.45/190.61 ! [V_v_2,V_m_2] :
% 190.45/190.61 ( 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)
% 190.45/190.61 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 190.45/190.61 & 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))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 190.45/190.61 ! [V_y,V_x] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 190.45/190.61 => 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)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__mult__distrib,axiom,
% 190.45/190.61 ! [V_z_H,V_z] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__diff__distrib,axiom,
% 190.45/190.61 ! [V_z,V_z_H] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 190.45/190.61 => 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)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_numeral__3__eq__3,axiom,
% 190.45/190.61 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)))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_numeral__1__eq__Suc__0,axiom,
% 190.45/190.61 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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 190.45/190.61 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))))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Suc3__eq__add__3,axiom,
% 190.45/190.61 ! [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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 190.45/190.61 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)))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 190.45/190.61 ! [V_y,V_x] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 190.45/190.61 => 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)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_diff__nat__eq__if,axiom,
% 190.45/190.61 ! [V_z_2,V_z_H_2] :
% 190.45/190.61 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 190.45/190.61 => 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) )
% 190.45/190.61 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 190.45/190.61 => 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)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_one__less__nat__eq,axiom,
% 190.45/190.61 ! [V_z_2] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__less__iff,axiom,
% 190.45/190.61 ! [V_m_2,V_w_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 190.45/190.61 <=> 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))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_le__special_I4_J,axiom,
% 190.45/190.61 ! [V_x_2,T_b] :
% 190.45/190.61 ( ( class_Int_Onumber__ring(T_b)
% 190.45/190.61 & class_Rings_Olinordered__idom(T_b) )
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_le__special_I2_J,axiom,
% 190.45/190.61 ! [V_y_2,T_b] :
% 190.45/190.61 ( ( class_Int_Onumber__ring(T_b)
% 190.45/190.61 & class_Rings_Olinordered__idom(T_b) )
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 190.45/190.61 ! [V_z] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_less__special_I4_J,axiom,
% 190.45/190.61 ! [V_x_2,T_b] :
% 190.45/190.61 ( ( class_Int_Onumber__ring(T_b)
% 190.45/190.61 & class_Rings_Olinordered__idom(T_b) )
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_less__special_I2_J,axiom,
% 190.45/190.61 ! [V_y_2,T_b] :
% 190.45/190.61 ( ( class_Int_Onumber__ring(T_b)
% 190.45/190.61 & class_Rings_Olinordered__idom(T_b) )
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_add__special_I3_J,axiom,
% 190.45/190.61 ! [V_v,T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_add__special_I2_J,axiom,
% 190.45/190.61 ! [V_w,T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 190.45/190.61 ! [V_m,V_n] :
% 190.45/190.61 ( 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))
% 190.45/190.61 => 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)))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Suc__eq__number__of,axiom,
% 190.45/190.61 ! [V_v_2,V_na_2] :
% 190.45/190.61 ( hAPP(c_Nat_OSuc,V_na_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 190.45/190.61 <=> 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))))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_eq__number__of__Suc,axiom,
% 190.45/190.61 ! [V_na_2,V_v_2] :
% 190.45/190.61 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_na_2)
% 190.45/190.61 <=> 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))))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__case__number__of,axiom,
% 190.45/190.61 ! [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))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__aux__def,axiom,
% 190.45/190.61 ! [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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__rec__add__eq__if,axiom,
% 190.45/190.61 ! [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))))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__rec__number__of,axiom,
% 190.45/190.61 ! [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)))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_transfer__morphism__nat__int,axiom,
% 190.45/190.61 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))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_diff__nat__number__of,axiom,
% 190.45/190.61 ! [V_v_2,V_v_H_2] :
% 190.45/190.61 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 190.45/190.61 => 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) )
% 190.45/190.61 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 190.45/190.61 => 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)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_of__nat__double,axiom,
% 190.45/190.61 ! [V_x,T_a] :
% 190.45/190.61 ( class_Rings_Osemiring__1(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 190.45/190.61 => 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))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__number__of__odd__number__of,axiom,
% 190.45/190.61 ! [V_v_2,V_w_2,T_b] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_b)
% 190.45/190.61 => ( ( 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)))
% 190.45/190.61 => 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))) )
% 190.45/190.61 & ( ~ 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)))
% 190.45/190.61 => 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) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__number__of__Suc,axiom,
% 190.45/190.61 ! [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)))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_negative__zle,axiom,
% 190.45/190.61 ! [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))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_negative__zless,axiom,
% 190.45/190.61 ! [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))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zpower__int,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_int__power,axiom,
% 190.45/190.61 ! [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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_arith__simps_I30_J,axiom,
% 190.45/190.61 ! [V_w,T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_number__of__minus,axiom,
% 190.45/190.61 ! [V_w,T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Oinf__assoc,axiom,
% 190.45/190.61 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Oinf_Oassoc,axiom,
% 190.45/190.61 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_compl__eq__compl__iff,axiom,
% 190.45/190.61 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.61 ( class_Lattices_Oboolean__algebra(T_b)
% 190.45/190.61 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)
% 190.45/190.61 <=> V_x_2 = V_y_2 ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Oinf__left__commute,axiom,
% 190.45/190.61 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 190.45/190.61 ! [V_c,V_a,V_b,T_a] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Oinf__left__idem,axiom,
% 190.45/190.61 ! [V_y,V_x,T_a] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 190.45/190.61 ! [V_b,V_a,T_a] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Oinf__commute,axiom,
% 190.45/190.61 ! [V_y,V_x,T_a] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Oinf_Ocommute,axiom,
% 190.45/190.61 ! [V_b,V_a,T_a] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_uminus__apply,axiom,
% 190.45/190.61 ! [V_x_2,V_A_2,T_c,T_b] :
% 190.45/190.61 ( class_Groups_Ouminus(T_b)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Oinf_Oidem,axiom,
% 190.45/190.61 ! [V_a,T_a] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_a)
% 190.45/190.61 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_double__compl,axiom,
% 190.45/190.61 ! [V_x,T_a] :
% 190.45/190.61 ( class_Lattices_Oboolean__algebra(T_a)
% 190.45/190.61 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_fun__Compl__def,axiom,
% 190.45/190.61 ! [V_x_2,V_A_2,T_c,T_b] :
% 190.45/190.61 ( class_Groups_Ouminus(T_b)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_neg__equal__iff__equal,axiom,
% 190.45/190.61 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.61 ( class_Groups_Ogroup__add(T_b)
% 190.45/190.61 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 190.45/190.61 <=> V_a_2 = V_b_2 ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_minus__equation__iff,axiom,
% 190.45/190.61 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.61 ( class_Groups_Ogroup__add(T_b)
% 190.45/190.61 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2
% 190.45/190.61 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_equation__minus__iff,axiom,
% 190.45/190.61 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.61 ( class_Groups_Ogroup__add(T_b)
% 190.45/190.61 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 190.45/190.61 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_minus__minus,axiom,
% 190.45/190.61 ! [V_a,T_a] :
% 190.45/190.61 ( class_Groups_Ogroup__add(T_a)
% 190.45/190.61 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I48_J,axiom,
% 190.45/190.61 ! [V_l_2,V_k_2] :
% 190.45/190.61 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 190.45/190.61 <=> V_k_2 = V_l_2 ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_minus__Bit0,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zminus__zminus,axiom,
% 190.45/190.61 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power2__minus,axiom,
% 190.45/190.61 ! [V_a,T_a] :
% 190.45/190.61 ( class_Rings_Oring__1(T_a)
% 190.45/190.61 => 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)))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_minus__number__of__mult,axiom,
% 190.45/190.61 ! [V_z,V_w,T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_le__imp__neg__le,axiom,
% 190.45/190.61 ! [V_b,V_a,T_a] :
% 190.45/190.61 ( class_Groups_Oordered__ab__group__add(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.45/190.61 => 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))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_neg__le__iff__le,axiom,
% 190.45/190.61 ! [V_a_2,V_b_2,T_b] :
% 190.45/190.61 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_minus__le__iff,axiom,
% 190.45/190.61 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.61 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.45/190.61 => ( 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))
% 190.45/190.61 <=> 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)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_le__minus__iff,axiom,
% 190.45/190.61 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.61 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> 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))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_compl__mono,axiom,
% 190.45/190.61 ! [V_y,V_x,T_a] :
% 190.45/190.61 ( class_Lattices_Oboolean__algebra(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.45/190.61 => 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))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_compl__le__compl__iff,axiom,
% 190.45/190.61 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.61 ( class_Lattices_Oboolean__algebra(T_b)
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__le__iff__disj,axiom,
% 190.45/190.61 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_b)
% 190.45/190.61 => ( 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))
% 190.45/190.61 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 190.45/190.61 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Ole__infE,axiom,
% 190.45/190.61 ! [V_b,V_a,V_x,T_a] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_a)
% 190.45/190.61 => ( 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)))
% 190.45/190.61 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 190.45/190.61 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Oinf__mono,axiom,
% 190.45/190.61 ! [V_d,V_b,V_c,V_a,T_a] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 190.45/190.61 => 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))) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Oinf__greatest,axiom,
% 190.45/190.61 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 190.45/190.61 => 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))) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Ole__infI,axiom,
% 190.45/190.61 ! [V_b,V_a,V_x,T_a] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 190.45/190.61 => 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))) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Oinf__absorb2,axiom,
% 190.45/190.61 ! [V_x,V_y,T_a] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 190.45/190.61 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Oinf__absorb1,axiom,
% 190.45/190.61 ! [V_y,V_x,T_a] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.45/190.61 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Ole__infI2,axiom,
% 190.45/190.61 ! [V_a,V_x,V_b,T_a] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 190.45/190.61 => 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)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Ole__infI1,axiom,
% 190.45/190.61 ! [V_b,V_x,V_a,T_a] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 190.45/190.61 => 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)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Ole__inf__iff,axiom,
% 190.45/190.61 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_b)
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.45/190.61 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Ole__iff__inf,axiom,
% 190.45/190.61 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_b)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.45/190.61 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Oinf__le2,axiom,
% 190.45/190.61 ! [V_y,V_x,T_a] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Oinf__le1,axiom,
% 190.45/190.61 ! [V_y,V_x,T_a] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_neg__equal__zero,axiom,
% 190.45/190.61 ! [V_a_2,T_b] :
% 190.45/190.61 ( class_Groups_Olinordered__ab__group__add(T_b)
% 190.45/190.61 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2
% 190.45/190.61 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_neg__equal__0__iff__equal,axiom,
% 190.45/190.61 ! [V_a_2,T_b] :
% 190.45/190.61 ( class_Groups_Ogroup__add(T_b)
% 190.45/190.61 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.61 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_equal__neg__zero,axiom,
% 190.45/190.61 ! [V_a_2,T_b] :
% 190.45/190.61 ( class_Groups_Olinordered__ab__group__add(T_b)
% 190.45/190.61 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 190.45/190.61 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_neg__0__equal__iff__equal,axiom,
% 190.45/190.61 ! [V_a_2,T_b] :
% 190.45/190.61 ( class_Groups_Ogroup__add(T_b)
% 190.45/190.61 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 190.45/190.61 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_minus__zero,axiom,
% 190.45/190.61 ! [T_a] :
% 190.45/190.61 ( class_Groups_Ogroup__add(T_a)
% 190.45/190.61 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_neg__less__iff__less,axiom,
% 190.45/190.61 ! [V_a_2,V_b_2,T_b] :
% 190.45/190.61 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_minus__less__iff,axiom,
% 190.45/190.61 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.61 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_less__minus__iff,axiom,
% 190.45/190.61 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.61 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__less__iff__disj,axiom,
% 190.45/190.61 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_b)
% 190.45/190.61 => ( 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))
% 190.45/190.61 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 190.45/190.61 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__less__iff__conj,axiom,
% 190.45/190.61 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_b)
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 190.45/190.61 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Oless__infI1,axiom,
% 190.45/190.61 ! [V_b,V_x,V_a,T_a] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 190.45/190.61 => 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)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Oless__infI2,axiom,
% 190.45/190.61 ! [V_a,V_x,V_b,T_a] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 190.45/190.61 => 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)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_minus__add__cancel,axiom,
% 190.45/190.61 ! [V_b,V_a,T_a] :
% 190.45/190.61 ( class_Groups_Ogroup__add(T_a)
% 190.45/190.61 => 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 ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_add__minus__cancel,axiom,
% 190.45/190.61 ! [V_b,V_a,T_a] :
% 190.45/190.61 ( class_Groups_Ogroup__add(T_a)
% 190.45/190.61 => 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 ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_minus__add,axiom,
% 190.45/190.61 ! [V_b,V_a,T_a] :
% 190.45/190.61 ( class_Groups_Ogroup__add(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_minus__add__distrib,axiom,
% 190.45/190.61 ! [V_b,V_a,T_a] :
% 190.45/190.61 ( class_Groups_Oab__group__add(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_square__eq__iff,axiom,
% 190.45/190.61 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.61 ( class_Rings_Oidom(T_b)
% 190.45/190.61 => ( 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)
% 190.45/190.61 <=> ( V_a_2 = V_b_2
% 190.45/190.61 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_minus__mult__minus,axiom,
% 190.45/190.61 ! [V_b,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Oring(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_minus__mult__commute,axiom,
% 190.45/190.61 ! [V_b,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Oring(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_minus__mult__left,axiom,
% 190.45/190.61 ! [V_b,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Oring(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_minus__mult__right,axiom,
% 190.45/190.61 ! [V_b,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Oring(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__add__distrib__left,axiom,
% 190.45/190.61 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.61 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 190.45/190.61 ! [V_q,V_y,V_x,T_a] :
% 190.45/190.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_minus__diff__eq,axiom,
% 190.45/190.61 ! [V_b,V_a,T_a] :
% 190.45/190.61 ( class_Groups_Oab__group__add(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__diff__distrib__left,axiom,
% 190.45/190.61 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.61 ( class_Groups_Oordered__ab__group__add(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__0R,axiom,
% 190.45/190.61 ! [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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__0L,axiom,
% 190.45/190.61 ! [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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__Suc__Suc,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__number__of__even,axiom,
% 190.45/190.61 ! [V_w_2,V_z_2,T_b] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_b)
% 190.45/190.61 => 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_less__eq__int__code_I13_J,axiom,
% 190.45/190.61 ! [V_k2_2,V_k1_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I31_J,axiom,
% 190.45/190.61 ! [V_l_2,V_k_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_less__int__code_I13_J,axiom,
% 190.45/190.61 ! [V_k2_2,V_k1_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I14_J,axiom,
% 190.45/190.61 ! [V_l_2,V_k_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zminus__0,axiom,
% 190.45/190.61 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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I44_J,axiom,
% 190.45/190.61 ! [V_k_2] :
% 190.45/190.61 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 190.45/190.61 <=> V_k_2 = c_Int_OPls ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I38_J,axiom,
% 190.45/190.61 ! [V_l_2] :
% 190.45/190.61 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 190.45/190.61 <=> c_Int_OPls = V_l_2 ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Bit0__Pls,axiom,
% 190.45/190.61 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I50_J,axiom,
% 190.45/190.61 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I49_J,axiom,
% 190.45/190.61 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Bit0__def,axiom,
% 190.45/190.61 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_add__Bit0__Bit0,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 190.45/190.61 ! [V_q,V_p,V_x,T_a] :
% 190.45/190.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__diff,axiom,
% 190.45/190.61 ! [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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zpower__zpower,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zpower__number__of__even,axiom,
% 190.45/190.61 ! [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))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mult__Bit0,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_minus__Pls,axiom,
% 190.45/190.61 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zminus__zadd__distrib,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_minus__numeral__code_I5_J,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_diff__bin__simps_I7_J,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 190.45/190.61 ! [V_x,T_a] :
% 190.45/190.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.61 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zmult__zminus,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power2__eq__1__iff,axiom,
% 190.45/190.61 ! [V_a_2,T_b] :
% 190.45/190.61 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 190.45/190.61 => ( 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)
% 190.45/190.61 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b)
% 190.45/190.61 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__minus__even,axiom,
% 190.45/190.61 ! [V_n,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Oring__1(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 190.45/190.61 ! [T_b] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_b)
% 190.45/190.61 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__power__eq,axiom,
% 190.45/190.61 ! [V_n,V_z] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 190.45/190.61 ! [V_n,V_x] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__minus1__even,axiom,
% 190.45/190.61 ! [V_n,T_a] :
% 190.45/190.61 ( class_Rings_Oring__1(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__number__of__even__number__of,axiom,
% 190.45/190.61 ! [V_w_2,V_v_2,T_b] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_b)
% 190.45/190.61 => 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__minus1__odd,axiom,
% 190.45/190.61 ! [V_n,T_a] :
% 190.45/190.61 ( class_Rings_Oring__1(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zero__eq__power2,axiom,
% 190.45/190.61 ! [V_a_2,T_b] :
% 190.45/190.61 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 190.45/190.61 => ( 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)
% 190.45/190.61 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zero__power2,axiom,
% 190.45/190.61 ! [T_a] :
% 190.45/190.61 ( class_Rings_Osemiring__1(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power2__eq__square,axiom,
% 190.45/190.61 ! [V_a,T_a] :
% 190.45/190.61 ( class_Groups_Omonoid__mult(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 190.45/190.61 ! [V_x,T_a] :
% 190.45/190.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.61 => 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)))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_one__power2,axiom,
% 190.45/190.61 ! [T_a] :
% 190.45/190.61 ( class_Rings_Osemiring__1(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__even__eq,axiom,
% 190.45/190.61 ! [V_n,V_a,T_a] :
% 190.45/190.61 ( class_Groups_Omonoid__mult(T_a)
% 190.45/190.61 => 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)))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_minus__le__self__iff,axiom,
% 190.45/190.61 ! [V_a_2,T_b] :
% 190.45/190.61 ( class_Groups_Olinordered__ab__group__add(T_b)
% 190.45/190.61 => ( 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))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_neg__le__0__iff__le,axiom,
% 190.45/190.61 ! [V_a_2,T_b] :
% 190.45/190.61 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_le__minus__self__iff,axiom,
% 190.45/190.61 ! [V_a_2,T_b] :
% 190.45/190.61 ( class_Groups_Olinordered__ab__group__add(T_b)
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_neg__0__le__iff__le,axiom,
% 190.45/190.61 ! [V_a_2,T_b] :
% 190.45/190.61 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_neg__0__less__iff__less,axiom,
% 190.45/190.61 ! [V_a_2,T_b] :
% 190.45/190.61 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_neg__less__0__iff__less,axiom,
% 190.45/190.61 ! [V_a_2,T_b] :
% 190.45/190.61 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_neg__less__nonneg,axiom,
% 190.45/190.61 ! [V_a_2,T_b] :
% 190.45/190.61 ( class_Groups_Olinordered__ab__group__add(T_b)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_less__minus__self__iff,axiom,
% 190.45/190.61 ! [V_a_2,T_b] :
% 190.45/190.61 ( class_Rings_Olinordered__idom(T_b)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_right__minus,axiom,
% 190.45/190.61 ! [V_a,T_a] :
% 190.45/190.61 ( class_Groups_Ogroup__add(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 190.45/190.61 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.61 ( class_Groups_Ogroup__add(T_b)
% 190.45/190.61 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 190.45/190.61 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_left__minus,axiom,
% 190.45/190.61 ! [V_a,T_a] :
% 190.45/190.61 ( class_Groups_Ogroup__add(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_ab__left__minus,axiom,
% 190.45/190.61 ! [V_a,T_a] :
% 190.45/190.61 ( class_Groups_Oab__group__add(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_minus__unique,axiom,
% 190.45/190.61 ! [V_b,V_a,T_a] :
% 190.45/190.61 ( class_Groups_Ogroup__add(T_a)
% 190.45/190.61 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.61 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_diff__0,axiom,
% 190.45/190.61 ! [V_a,T_a] :
% 190.45/190.61 ( class_Groups_Ogroup__add(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__number__of,axiom,
% 190.45/190.61 ! [V_v,V_u,T_b] :
% 190.45/190.61 ( ( class_Int_Onumber(T_b)
% 190.45/190.61 & class_Orderings_Oord(T_b) )
% 190.45/190.61 => ( ( 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)))
% 190.45/190.61 => 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) )
% 190.45/190.61 & ( ~ 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)))
% 190.45/190.61 => 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) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 190.45/190.61 ! [V_y,V_x,T_a] :
% 190.45/190.61 ( class_Rings_Ocomm__ring__1(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_diff__def,axiom,
% 190.45/190.61 ! [V_b,V_a,T_a] :
% 190.45/190.61 ( class_Groups_Ogroup__add(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_ab__diff__minus,axiom,
% 190.45/190.61 ! [V_b,V_a,T_a] :
% 190.45/190.61 ( class_Groups_Oab__group__add(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_diff__minus__eq__add,axiom,
% 190.45/190.61 ! [V_b,V_a,T_a] :
% 190.45/190.61 ( class_Groups_Ogroup__add(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_square__eq__1__iff,axiom,
% 190.45/190.61 ! [V_x_2,T_b] :
% 190.45/190.61 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 190.45/190.61 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 190.45/190.61 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b)
% 190.45/190.61 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 190.45/190.61 ! [V_x,T_a] :
% 190.45/190.61 ( class_Rings_Ocomm__ring__1(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 190.45/190.61 ! [V_q,V_x,T_a] :
% 190.45/190.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 190.45/190.61 ! [V_q,V_x,T_a] :
% 190.45/190.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 190.45/190.61 ! [V_q,V_x,T_a] :
% 190.45/190.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 190.45/190.61 ! [V_x,T_a] :
% 190.45/190.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 190.45/190.61 ! [V_q,V_p,V_x,T_a] :
% 190.45/190.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_bin__less__0__simps_I3_J,axiom,
% 190.45/190.61 ! [V_w_2] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 190.45/190.61 ! [V_n,V_x] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 190.45/190.61 => 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__rec__0,axiom,
% 190.45/190.61 ! [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 ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__rec__Suc,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I21_J,axiom,
% 190.45/190.61 ! [V_k_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I27_J,axiom,
% 190.45/190.61 ! [V_k_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_less__eq__int__code_I14_J,axiom,
% 190.45/190.61 ! [V_k2_2,V_k1_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I32_J,axiom,
% 190.45/190.61 ! [V_l_2,V_k_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I4_J,axiom,
% 190.45/190.61 ! [V_k_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I10_J,axiom,
% 190.45/190.61 ! [V_k_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_less__int__code_I15_J,axiom,
% 190.45/190.61 ! [V_k2_2,V_k1_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I16_J,axiom,
% 190.45/190.61 ! [V_l_2,V_k_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_add__Bit1__Bit0,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_add__Bit0__Bit1,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zpower__zadd__distrib,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zadd__zminus__inverse2,axiom,
% 190.45/190.61 ! [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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_negative__eq__positive,axiom,
% 190.45/190.61 ! [V_m_2,V_na_2] :
% 190.45/190.61 ( 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)
% 190.45/190.61 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.61 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_diff__bin__simps_I3_J,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_diff__bin__simps_I10_J,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_diff__bin__simps_I9_J,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_not__int__zless__negative,axiom,
% 190.45/190.61 ! [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)))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_diff__int__def,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_diff__int__def__symmetric,axiom,
% 190.45/190.61 ! [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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Ints__minus,axiom,
% 190.45/190.61 ! [V_a_2,T_b] :
% 190.45/190.61 ( class_Rings_Oring__1(T_b)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 190.45/190.61 => 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))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Ints__power,axiom,
% 190.45/190.61 ! [V_na_2,V_a_2,T_b] :
% 190.45/190.61 ( class_Rings_Oring__1(T_b)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 190.45/190.61 => 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))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_neg__number__of__Bit0,axiom,
% 190.45/190.61 ! [V_w_2] :
% 190.45/190.61 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 190.45/190.61 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_pred__Bit1,axiom,
% 190.45/190.61 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_pred__Bit0,axiom,
% 190.45/190.61 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_minus__Bit1,axiom,
% 190.45/190.61 ! [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))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power2__eq__imp__eq,axiom,
% 190.45/190.61 ! [V_y,V_x,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( 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))))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 190.45/190.61 => V_x = V_y ) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power2__le__imp__le,axiom,
% 190.45/190.61 ! [V_y,V_x,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( 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))))))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zero__le__power2,axiom,
% 190.45/190.61 ! [V_a,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.61 => 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)))))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zero__less__power2,axiom,
% 190.45/190.61 ! [V_a_2,T_b] :
% 190.45/190.61 ( class_Rings_Olinordered__idom(T_b)
% 190.45/190.61 => ( 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))))))
% 190.45/190.61 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power2__less__0,axiom,
% 190.45/190.61 ! [V_a,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.61 => ~ 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_sum__power2__eq__zero__iff,axiom,
% 190.45/190.61 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.61 ( class_Rings_Olinordered__idom(T_b)
% 190.45/190.61 => ( 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)
% 190.45/190.61 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.61 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power2__eq__square__number__of,axiom,
% 190.45/190.61 ! [V_w,T_b] :
% 190.45/190.61 ( ( class_Groups_Omonoid__mult(T_b)
% 190.45/190.61 & class_Int_Onumber(T_b) )
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_succ__Bit0,axiom,
% 190.45/190.61 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_succ__Bit1,axiom,
% 190.45/190.61 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 190.45/190.61 ! [V_n,V_x,T_a] :
% 190.45/190.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__number__of__Bit0,axiom,
% 190.45/190.61 ! [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))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__nat__number__of__number__of,axiom,
% 190.45/190.61 ! [V_w,V_v] :
% 190.45/190.61 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.45/190.61 => 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)) )
% 190.45/190.61 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.45/190.61 => 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))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__nat__number__of,axiom,
% 190.45/190.61 ! [V_n,V_v] :
% 190.45/190.61 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.45/190.61 => 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) )
% 190.45/190.61 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.45/190.61 => 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)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power2__less__imp__less,axiom,
% 190.45/190.61 ! [V_y,V_x,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( 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))))))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_sum__power2__le__zero__iff,axiom,
% 190.45/190.61 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.61 ( class_Rings_Olinordered__idom(T_b)
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.61 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_sum__power2__ge__zero,axiom,
% 190.45/190.61 ! [V_y,V_x,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.61 => 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))))))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_sum__power2__gt__zero__iff,axiom,
% 190.45/190.61 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.61 ( class_Rings_Olinordered__idom(T_b)
% 190.45/190.61 => ( 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)))))))
% 190.45/190.61 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.61 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_not__sum__power2__lt__zero,axiom,
% 190.45/190.61 ! [V_y,V_x,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.61 => ~ 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power2__sum,axiom,
% 190.45/190.61 ! [V_y,V_x,T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zero__le__even__power_H,axiom,
% 190.45/190.61 ! [V_n,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.61 => 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)))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 190.45/190.61 ! [V_n,V_x,T_a] :
% 190.45/190.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.61 => 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__odd__eq,axiom,
% 190.45/190.61 ! [V_n,V_a,T_a] :
% 190.45/190.61 ( class_Groups_Omonoid__mult(T_a)
% 190.45/190.61 => 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))))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_number__of__Bit0,axiom,
% 190.45/190.61 ! [V_w,T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_less__eq__int__code_I15_J,axiom,
% 190.45/190.61 ! [V_k2_2,V_k1_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I33_J,axiom,
% 190.45/190.61 ! [V_l_2,V_k_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_less__int__code_I14_J,axiom,
% 190.45/190.61 ! [V_k2_2,V_k1_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_rel__simps_I15_J,axiom,
% 190.45/190.61 ! [V_l_2,V_k_2] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_diff__number__of__eq,axiom,
% 190.45/190.61 ! [V_w,V_v,T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mult__Bit1,axiom,
% 190.45/190.61 ! [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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_int__zle__neg,axiom,
% 190.45/190.61 ! [V_m_2,V_na_2] :
% 190.45/190.61 ( 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))))
% 190.45/190.61 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.61 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_negative__zle__0,axiom,
% 190.45/190.61 ! [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))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__zminus__int,axiom,
% 190.45/190.61 ! [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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_minus__numeral__code_I6_J,axiom,
% 190.45/190.61 ! [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))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_neg__zminus__int,axiom,
% 190.45/190.61 ! [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))))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_diff__bin__simps_I8_J,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power2__diff,axiom,
% 190.45/190.61 ! [V_y,V_x,T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 190.45/190.61 ! [V_n,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.61 => ( 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)))))
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_odd__power__less__zero,axiom,
% 190.45/190.61 ! [V_n,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.61 => 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))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_add__Bit1__Bit1,axiom,
% 190.45/190.61 ! [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))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_double__number__of__Bit0,axiom,
% 190.45/190.61 ! [V_w,T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__Suc1,axiom,
% 190.45/190.61 ! [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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__Suc2,axiom,
% 190.45/190.61 ! [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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power3__eq__cube,axiom,
% 190.45/190.61 ! [V_a,T_a] :
% 190.45/190.61 ( class_Groups_Omonoid__mult(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_add__number__of__diff2,axiom,
% 190.45/190.61 ! [V_w,V_c,V_v,T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_number__of1,axiom,
% 190.45/190.61 ! [V_n] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 => ( 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))))
% 190.45/190.61 & 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)))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_number__of__pred,axiom,
% 190.45/190.61 ! [V_w,T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_not__zle__0__negative,axiom,
% 190.45/190.61 ! [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))))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_negative__zless__0,axiom,
% 190.45/190.61 ! [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))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__eq__if,axiom,
% 190.45/190.61 ! [V_p,V_m] :
% 190.45/190.61 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.61 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 190.45/190.61 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.61 => 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)))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mult__2__right,axiom,
% 190.45/190.61 ! [V_z,T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mult__2,axiom,
% 190.45/190.61 ! [V_z,T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_one__add__one__is__two,axiom,
% 190.45/190.61 ! [T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_numeral__2__eq__2,axiom,
% 190.45/190.61 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))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_semiring__norm_I115_J,axiom,
% 190.45/190.61 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))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 190.45/190.61 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))))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_add__2__eq__Suc_H,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_add__2__eq__Suc,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__mult__2,axiom,
% 190.45/190.61 ! [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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__mult__2__right,axiom,
% 190.45/190.61 ! [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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 190.45/190.61 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)))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 190.45/190.61 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)))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__1__add__1,axiom,
% 190.45/190.61 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))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__mult__distrib__neg,axiom,
% 190.45/190.61 ! [V_z_H,V_z] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.61 => 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_less__2__cases,axiom,
% 190.45/190.61 ! [V_n] :
% 190.45/190.61 ( 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)))))
% 190.45/190.61 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.61 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__2,axiom,
% 190.45/190.61 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))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_diff__special_I1_J,axiom,
% 190.45/190.61 ! [V_w,T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_diff__special_I2_J,axiom,
% 190.45/190.61 ! [V_v,T_a] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_a)
% 190.45/190.61 => 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)))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__number__of__odd,axiom,
% 190.45/190.61 ! [V_z_2,V_w_2,T_b] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_b)
% 190.45/190.61 => ( ( 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)))
% 190.45/190.61 => 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))) )
% 190.45/190.61 & ( ~ 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)))
% 190.45/190.61 => 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) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zpower__number__of__odd,axiom,
% 190.45/190.61 ! [V_z_2,V_w_2] :
% 190.45/190.61 ( ( 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)))
% 190.45/190.61 => 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))) )
% 190.45/190.61 & ( ~ 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)))
% 190.45/190.61 => 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) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__Suc__number__of,axiom,
% 190.45/190.61 ! [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)))) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_fold1__antimono,axiom,
% 190.45/190.61 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_b)
% 190.45/190.61 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.61 => 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))) ) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__strict__mono,axiom,
% 190.45/190.61 ! [V_n,V_b,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.45/190.61 => 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))) ) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_strict__below__fold1__iff,axiom,
% 190.45/190.61 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_b)
% 190.45/190.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.61 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> ! [B_x] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_fold1__strict__below__iff,axiom,
% 190.45/190.61 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_b)
% 190.45/190.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.61 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.61 => ( 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))
% 190.45/190.61 <=> ? [B_x] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.61 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_fold1__below__iff,axiom,
% 190.45/190.61 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_b)
% 190.45/190.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.61 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.61 => ( 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))
% 190.45/190.61 <=> ? [B_x] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.61 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 190.45/190.61 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_b)
% 190.45/190.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.61 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> ! [B_x] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_min__max_Ofold1__belowI,axiom,
% 190.45/190.61 ! [V_a_2,V_A_2,T_b] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_b)
% 190.45/190.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.61 => 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)) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_one__less__power,axiom,
% 190.45/190.61 ! [V_n,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.45/190.61 => 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))) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_ComplI,axiom,
% 190.45/190.61 ! [V_A_2,V_c_2,T_b] :
% 190.45/190.61 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.45/190.61 => 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Compl__iff,axiom,
% 190.45/190.61 ! [V_A_2,V_c_2,T_b] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_ComplD,axiom,
% 190.45/190.61 ! [V_A_2,V_c_2,T_b] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_ComplE,axiom,
% 190.45/190.61 ! [V_A_2,V_c_2,T_b] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Compl__subset__Compl__iff,axiom,
% 190.45/190.61 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Compl__anti__mono,axiom,
% 190.45/190.61 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.61 => 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_subset__Compl__self__eq,axiom,
% 190.45/190.61 ! [V_A_2,T_b] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Min_Oidem,axiom,
% 190.45/190.61 ! [V_x,T_a] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_a)
% 190.45/190.61 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_field__power__not__zero,axiom,
% 190.45/190.61 ! [V_n,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 190.45/190.61 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.61 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__Suc__0,axiom,
% 190.45/190.61 ! [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)) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 190.45/190.61 ! [V_m_2,V_x_2] :
% 190.45/190.61 ( 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))
% 190.45/190.61 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.61 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__zero__less__power__iff,axiom,
% 190.45/190.61 ! [V_na_2,V_x_2] :
% 190.45/190.61 ( 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)))
% 190.45/190.61 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 190.45/190.61 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__power__less__imp__less,axiom,
% 190.45/190.61 ! [V_n,V_m,V_i] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 190.45/190.61 => ( 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)))
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__mult__distrib,axiom,
% 190.45/190.61 ! [V_n,V_b,V_a,T_a] :
% 190.45/190.61 ( class_Groups_Ocomm__monoid__mult(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__commutes,axiom,
% 190.45/190.61 ! [V_n,V_a,T_a] :
% 190.45/190.61 ( class_Groups_Omonoid__mult(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__one,axiom,
% 190.45/190.61 ! [V_n,T_a] :
% 190.45/190.61 ( class_Groups_Omonoid__mult(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_of__nat__power,axiom,
% 190.45/190.61 ! [V_n,V_m,T_a] :
% 190.45/190.61 ( class_Rings_Osemiring__1(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__mult,axiom,
% 190.45/190.61 ! [V_n,V_m,V_a,T_a] :
% 190.45/190.61 ( class_Groups_Omonoid__mult(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__one__right,axiom,
% 190.45/190.61 ! [V_a,T_a] :
% 190.45/190.61 ( class_Groups_Omonoid__mult(T_a)
% 190.45/190.61 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zero__le__power,axiom,
% 190.45/190.61 ! [V_n,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.61 => 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))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__mono,axiom,
% 190.45/190.61 ! [V_n,V_b,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.61 => 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))) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zero__less__power,axiom,
% 190.45/190.61 ! [V_n,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.61 => 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))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__eq__0__iff,axiom,
% 190.45/190.61 ! [V_na_2,V_a_2,T_b] :
% 190.45/190.61 ( ( class_Power_Opower(T_b)
% 190.45/190.61 & class_Rings_Omult__zero(T_b)
% 190.45/190.61 & class_Rings_Ono__zero__divisors(T_b)
% 190.45/190.61 & class_Rings_Ozero__neq__one(T_b) )
% 190.45/190.61 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_na_2) = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.61 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.61 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_one__le__power,axiom,
% 190.45/190.61 ! [V_n,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 190.45/190.61 => 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))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__0__Suc,axiom,
% 190.45/190.61 ! [V_n,T_a] :
% 190.45/190.61 ( ( class_Power_Opower(T_a)
% 190.45/190.61 & class_Rings_Osemiring__0(T_a) )
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__inject__exp,axiom,
% 190.45/190.61 ! [V_na_2,V_m_2,V_a_2,T_b] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_b)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2))
% 190.45/190.61 => ( 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)
% 190.45/190.61 <=> V_m_2 = V_na_2 ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__Suc,axiom,
% 190.45/190.61 ! [V_n,V_a,T_a] :
% 190.45/190.61 ( class_Power_Opower(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__Suc2,axiom,
% 190.45/190.61 ! [V_n,V_a,T_a] :
% 190.45/190.61 ( class_Groups_Omonoid__mult(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_nat__one__le__power,axiom,
% 190.45/190.61 ! [V_n,V_i] :
% 190.45/190.61 ( 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))
% 190.45/190.61 => 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__0,axiom,
% 190.45/190.61 ! [V_a,T_a] :
% 190.45/190.61 ( class_Power_Opower(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__add,axiom,
% 190.45/190.61 ! [V_n,V_m,V_a,T_a] :
% 190.45/190.61 ( class_Groups_Omonoid__mult(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__less__imp__less__base,axiom,
% 190.45/190.61 ! [V_b,V_n,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( 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)))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__le__imp__le__base,axiom,
% 190.45/190.61 ! [V_b,V_n,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( 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))))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__inject__base,axiom,
% 190.45/190.61 ! [V_b,V_n,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( 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))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.45/190.61 => V_a = V_b ) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__gt1__lemma,axiom,
% 190.45/190.61 ! [V_n,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 190.45/190.61 => 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)))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__less__power__Suc,axiom,
% 190.45/190.61 ! [V_n,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 190.45/190.61 => 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)))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__0__left,axiom,
% 190.45/190.61 ! [V_n,T_a] :
% 190.45/190.61 ( ( class_Power_Opower(T_a)
% 190.45/190.61 & class_Rings_Osemiring__0(T_a) )
% 190.45/190.61 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.61 => 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) )
% 190.45/190.61 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.61 => 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) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__gt1,axiom,
% 190.45/190.61 ! [V_n,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 190.45/190.61 => 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)))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__strict__increasing__iff,axiom,
% 190.45/190.61 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_b)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__less__imp__less__exp,axiom,
% 190.45/190.61 ! [V_n,V_m,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 190.45/190.61 => ( 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)))
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__strict__increasing,axiom,
% 190.45/190.61 ! [V_a,V_N,V_n,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 190.45/190.61 => 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))) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__increasing,axiom,
% 190.45/190.61 ! [V_a,V_N,V_n,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 190.45/190.61 => 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))) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__minus,axiom,
% 190.45/190.61 ! [V_n,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Oring__1(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__Suc__less,axiom,
% 190.45/190.61 ! [V_n,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 190.45/190.61 => 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))) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__eq__imp__eq__base,axiom,
% 190.45/190.61 ! [V_b,V_n,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( 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)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.45/190.61 => V_a = V_b ) ) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__Suc__less__one,axiom,
% 190.45/190.61 ! [V_n,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 190.45/190.61 => 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))) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__strict__decreasing,axiom,
% 190.45/190.61 ! [V_a,V_N,V_n,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 190.45/190.61 => 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))) ) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__decreasing,axiom,
% 190.45/190.61 ! [V_a,V_N,V_n,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 190.45/190.61 => 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))) ) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__increasing__iff,axiom,
% 190.45/190.61 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_b)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 190.45/190.61 => ( 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)))
% 190.45/190.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_power__le__imp__le__exp,axiom,
% 190.45/190.61 ! [V_n,V_m,V_a,T_a] :
% 190.45/190.61 ( class_Rings_Olinordered__semidom(T_a)
% 190.45/190.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 190.45/190.61 => ( 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)))
% 190.45/190.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_semilattice__big_OF__eq,axiom,
% 190.45/190.61 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 190.45/190.61 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2)
% 190.45/190.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.61 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_eq__special_I4_J,axiom,
% 190.45/190.61 ! [V_x_2,T_b] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_b)
% 190.45/190.61 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 190.45/190.61 <=> 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))))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_eq__special_I2_J,axiom,
% 190.45/190.61 ! [V_y_2,T_b] :
% 190.45/190.61 ( class_Int_Onumber__ring(T_b)
% 190.45/190.61 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 190.45/190.61 <=> 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)))) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_neg__zmod__mult__2,axiom,
% 190.45/190.61 ! [V_b,V_a] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zmod__number__of__Bit1,axiom,
% 190.45/190.61 ! [V_v,V_w] :
% 190.45/190.61 ( ( 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)))
% 190.45/190.61 => 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)) )
% 190.45/190.61 & ( ~ 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)))
% 190.45/190.61 => 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)) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_dual__max,axiom,
% 190.45/190.61 ! [T_b] :
% 190.45/190.61 ( class_Orderings_Olinorder(T_b)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_pos__zmod__mult__2,axiom,
% 190.45/190.61 ! [V_b,V_a] :
% 190.45/190.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 190.45/190.61 => 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))) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_Compl__eq__Compl__iff,axiom,
% 190.45/190.61 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.61 ( 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)
% 190.45/190.61 <=> V_A_2 = V_B_2 ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_double__complement,axiom,
% 190.45/190.61 ! [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 ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mod__mod__trivial,axiom,
% 190.45/190.61 ! [V_b,V_a,T_a] :
% 190.45/190.61 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mod__0,axiom,
% 190.45/190.61 ! [V_a,T_a] :
% 190.45/190.61 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.61 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mod__by__0,axiom,
% 190.45/190.61 ! [V_a,T_a] :
% 190.45/190.61 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.61 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mod__self,axiom,
% 190.45/190.61 ! [V_a,T_a] :
% 190.45/190.61 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.61 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mod__add__self2,axiom,
% 190.45/190.61 ! [V_b,V_a,T_a] :
% 190.45/190.61 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mod__add__self1,axiom,
% 190.45/190.61 ! [V_a,V_b,T_a] :
% 190.45/190.61 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mod__add__right__eq,axiom,
% 190.45/190.61 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.61 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mod__add__left__eq,axiom,
% 190.45/190.61 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.61 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mod__add__eq,axiom,
% 190.45/190.61 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.61 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zmod__simps_I2_J,axiom,
% 190.45/190.61 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.61 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zmod__simps_I1_J,axiom,
% 190.45/190.61 ! [V_b,V_c,V_a,T_a] :
% 190.45/190.61 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mod__add__cong,axiom,
% 190.45/190.61 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 190.45/190.61 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.61 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 190.45/190.61 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 190.45/190.61 => 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) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mod__mult__right__eq,axiom,
% 190.45/190.61 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.61 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mod__mult__left__eq,axiom,
% 190.45/190.61 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.61 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mod__mult__eq,axiom,
% 190.45/190.61 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.61 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mod__mult__mult1,axiom,
% 190.45/190.61 ! [V_b,V_a,V_c,T_a] :
% 190.45/190.61 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.61 => 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)) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mod__mult__mult2,axiom,
% 190.45/190.61 ! [V_b,V_c,V_a,T_a] :
% 190.45/190.61 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zmod__simps_I4_J,axiom,
% 190.45/190.61 ! [V_b,V_c,V_a,T_a] :
% 190.45/190.61 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mod__mult__cong,axiom,
% 190.45/190.61 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 190.45/190.61 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.61 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 190.45/190.61 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 190.45/190.61 => 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) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mod__diff__cong,axiom,
% 190.45/190.61 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 190.45/190.61 ( class_Divides_Oring__div(T_a)
% 190.45/190.61 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 190.45/190.61 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 190.45/190.61 => 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) ) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mod__diff__eq,axiom,
% 190.45/190.61 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.61 ( class_Divides_Oring__div(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mod__diff__left__eq,axiom,
% 190.45/190.61 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.61 ( class_Divides_Oring__div(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mod__diff__right__eq,axiom,
% 190.45/190.61 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.61 ( class_Divides_Oring__div(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mod__minus__cong,axiom,
% 190.45/190.61 ! [V_a_H,V_b,V_a,T_a] :
% 190.45/190.61 ( class_Divides_Oring__div(T_a)
% 190.45/190.61 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 190.45/190.61 => 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) ) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_mod__minus__eq,axiom,
% 190.45/190.61 ! [V_b,V_a,T_a] :
% 190.45/190.61 ( class_Divides_Oring__div(T_a)
% 190.45/190.61 => 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) ) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zmod__self,axiom,
% 190.45/190.61 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zmod__zero,axiom,
% 190.45/190.61 ! [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) ).
% 190.45/190.61
% 190.45/190.61 fof(fact_zmod__zmult1__eq,axiom,
% 190.45/190.61 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zmod__simps_I3_J,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zdiff__zmod__right,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zdiff__zmod__left,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zminus__zmod,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zmod__zminus__zminus,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zmod__zminus2,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zpower__zmod,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__mult__self1__is__0,axiom,
% 190.45/190.62 ! [V_a,V_b,T_a] :
% 190.45/190.62 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__mult__self2__is__0,axiom,
% 190.45/190.62 ! [V_b,V_a,T_a] :
% 190.45/190.62 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__mult__self2,axiom,
% 190.45/190.62 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.62 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__mult__self1,axiom,
% 190.45/190.62 ! [V_b,V_c,V_a,T_a] :
% 190.45/190.62 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__by__1,axiom,
% 190.45/190.62 ! [V_a,T_a] :
% 190.45/190.62 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.62 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_iszero__def,axiom,
% 190.45/190.62 ! [V_z_2,T_b] :
% 190.45/190.62 ( class_Rings_Osemiring__1(T_b)
% 190.45/190.62 => ( c_Int_Oiszero(T_b,V_z_2)
% 190.45/190.62 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_iszero__0,axiom,
% 190.45/190.62 ! [T_a] :
% 190.45/190.62 ( class_Rings_Osemiring__1(T_a)
% 190.45/190.62 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_not__iszero__1,axiom,
% 190.45/190.62 ! [T_a] :
% 190.45/190.62 ( class_Rings_Osemiring__1(T_a)
% 190.45/190.62 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 190.45/190.62 ! [V_y,V_x] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 190.45/190.62 => 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))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zmod__le__nonneg__dividend,axiom,
% 190.45/190.62 ! [V_k,V_m] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_neg__mod__bound,axiom,
% 190.45/190.62 ! [V_a,V_b] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => 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))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_pos__mod__bound,axiom,
% 190.45/190.62 ! [V_a,V_b] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zmod__eq__0__iff,axiom,
% 190.45/190.62 ! [V_d_2,V_m_2] :
% 190.45/190.62 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zmod__zminus2__not__zero,axiom,
% 190.45/190.62 ! [V_l,V_k] :
% 190.45/190.62 ( 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)
% 190.45/190.62 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zmod__zminus1__not__zero,axiom,
% 190.45/190.62 ! [V_l,V_k] :
% 190.45/190.62 ( 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)
% 190.45/190.62 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__neg__neg__trivial,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 190.45/190.62 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_neg__mod__conj,axiom,
% 190.45/190.62 ! [V_a,V_b] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 & 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))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_neg__mod__sign,axiom,
% 190.45/190.62 ! [V_a,V_b] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => 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))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__pos__pos__trivial,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 190.45/190.62 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_pos__mod__conj,axiom,
% 190.45/190.62 ! [V_a,V_b] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 & 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_pos__mod__sign,axiom,
% 190.45/190.62 ! [V_a,V_b] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 190.45/190.62 => 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))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zmod__zminus2__eq__if,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => 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) )
% 190.45/190.62 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => 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) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zmod__zminus1__eq__if,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => 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) )
% 190.45/190.62 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_iszero__Numeral0,axiom,
% 190.45/190.62 ! [T_a] :
% 190.45/190.62 ( class_Int_Onumber__ring(T_a)
% 190.45/190.62 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_iszero__number__of__Bit1,axiom,
% 190.45/190.62 ! [V_w,T_a] :
% 190.45/190.62 ( ( class_Int_Onumber__ring(T_a)
% 190.45/190.62 & class_Int_Oring__char__0(T_a) )
% 190.45/190.62 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_iszero__number__of__Bit0,axiom,
% 190.45/190.62 ! [V_w_2,T_b] :
% 190.45/190.62 ( ( class_Int_Onumber__ring(T_b)
% 190.45/190.62 & class_Int_Oring__char__0(T_b) )
% 190.45/190.62 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2)))
% 190.45/190.62 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__pos__neg__trivial,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 => 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) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_split__zmod,axiom,
% 190.45/190.62 ! [V_k_2,V_na_2,V_Pa_2] :
% 190.45/190.62 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_na_2,V_k_2)))
% 190.45/190.62 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => hBOOL(hAPP(V_Pa_2,V_na_2)) )
% 190.45/190.62 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 190.45/190.62 => ! [B_i,B_j] :
% 190.45/190.62 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 190.45/190.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 190.45/190.62 & 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) )
% 190.45/190.62 => hBOOL(hAPP(V_Pa_2,B_j)) ) )
% 190.45/190.62 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => ! [B_i,B_j] :
% 190.45/190.62 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 190.45/190.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 & 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) )
% 190.45/190.62 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zmult2__lemma__aux3,axiom,
% 190.45/190.62 ! [V_q,V_b,V_r,V_c] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zmult2__lemma__aux4,axiom,
% 190.45/190.62 ! [V_q,V_b,V_r,V_c] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zmult2__lemma__aux1,axiom,
% 190.45/190.62 ! [V_q,V_r,V_b,V_c] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zmult2__lemma__aux2,axiom,
% 190.45/190.62 ! [V_q,V_r,V_b,V_c] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__int__rel__mod__eq,axiom,
% 190.45/190.62 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 190.45/190.62 ( 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)
% 190.45/190.62 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 190.45/190.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 190.45/190.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 190.45/190.62 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zmod__number__of__Bit0,axiom,
% 190.45/190.62 ! [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))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_not__iszero__Numeral1,axiom,
% 190.45/190.62 ! [T_a] :
% 190.45/190.62 ( class_Int_Onumber__ring(T_a)
% 190.45/190.62 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_eq__number__of__eq,axiom,
% 190.45/190.62 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.62 ( class_Int_Onumber__ring(T_b)
% 190.45/190.62 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 190.45/190.62 <=> 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)))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_eq__special_I3_J,axiom,
% 190.45/190.62 ! [V_x_2,T_b] :
% 190.45/190.62 ( class_Int_Onumber__ring(T_b)
% 190.45/190.62 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.62 <=> 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)))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_eq__special_I1_J,axiom,
% 190.45/190.62 ! [V_y_2,T_b] :
% 190.45/190.62 ( class_Int_Onumber__ring(T_b)
% 190.45/190.62 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 190.45/190.62 <=> 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)))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_z3mod__def,axiom,
% 190.45/190.62 ! [V_k,V_l] :
% 190.45/190.62 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 190.45/190.62 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_comm__monoid__big_OF__eq,axiom,
% 190.45/190.62 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.62 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 190.45/190.62 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.45/190.62 => 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) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.45/190.62 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_neg__zdiv__mult__2,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_pos__zdiv__mult__2,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__ord__min,axiom,
% 190.45/190.62 ! [T_b] :
% 190.45/190.62 ( class_Orderings_Oord(T_b)
% 190.45/190.62 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_power__power__power,axiom,
% 190.45/190.62 ! [T_b] :
% 190.45/190.62 ( class_Power_Opower(T_b)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_power__m1__odd,axiom,
% 190.45/190.62 ! [V_n,T_a] :
% 190.45/190.62 ( class_Int_Onumber__ring(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zdiv__minus1__right,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zdiv__zero,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__less,axiom,
% 190.45/190.62 ! [V_n,V_m] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.45/190.62 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__less__eq__dividend,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__mult__distrib,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__mult__distrib2,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_rel__simps_I24_J,axiom,
% 190.45/190.62 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_rel__simps_I7_J,axiom,
% 190.45/190.62 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zdiv__zminus2,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zdiv__zminus__zminus,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_rel__simps_I40_J,axiom,
% 190.45/190.62 c_Int_OMin != c_Int_OPls ).
% 190.45/190.62
% 190.45/190.62 fof(fact_rel__simps_I37_J,axiom,
% 190.45/190.62 c_Int_OPls != c_Int_OMin ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Bit1__Min,axiom,
% 190.45/190.62 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 190.45/190.62
% 190.45/190.62 fof(fact_rel__simps_I43_J,axiom,
% 190.45/190.62 ! [V_l_2] :
% 190.45/190.62 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 190.45/190.62 <=> c_Int_OMin = V_l_2 ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_rel__simps_I47_J,axiom,
% 190.45/190.62 ! [V_k_2] :
% 190.45/190.62 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 190.45/190.62 <=> V_k_2 = c_Int_OMin ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_rel__simps_I42_J,axiom,
% 190.45/190.62 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_rel__simps_I45_J,axiom,
% 190.45/190.62 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__by__0,axiom,
% 190.45/190.62 ! [V_a,T_a] :
% 190.45/190.62 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__0,axiom,
% 190.45/190.62 ! [V_a,T_a] :
% 190.45/190.62 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__by__1,axiom,
% 190.45/190.62 ! [V_a,T_a] :
% 190.45/190.62 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.62 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__eq__minus1,axiom,
% 190.45/190.62 ! [V_b] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__1,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__Suc,axiom,
% 190.45/190.62 ! [V_n,V_m] :
% 190.45/190.62 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 190.45/190.62 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 190.45/190.62 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 190.45/190.62 ! [V_y,V_x] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 190.45/190.62 => 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))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__less__divisor,axiom,
% 190.45/190.62 ! [V_m,V_n] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 190.45/190.62 ! [V_a_2,V_b_2] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 190.45/190.62 ! [V_a_2,V_b_2] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__neg__pos__less0,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 190.45/190.62 => 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))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zdiv__self,axiom,
% 190.45/190.62 ! [V_a] :
% 190.45/190.62 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__eq__0__iff,axiom,
% 190.45/190.62 ! [V_d_2,V_m_2] :
% 190.45/190.62 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.62 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__geq,axiom,
% 190.45/190.62 ! [V_n,V_m] :
% 190.45/190.62 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__if,axiom,
% 190.45/190.62 ! [V_n,V_m] :
% 190.45/190.62 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.45/190.62 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.45/190.62 => 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) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zdiv__number__of__Bit0,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zmod__zdiv__trivial,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_DIVISION__BY__ZERO,axiom,
% 190.45/190.62 ! [V_a] :
% 190.45/190.62 ( 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)
% 190.45/190.62 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__mult__self3,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_le__mod__geq,axiom,
% 190.45/190.62 ! [V_m,V_n] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_bin__less__0__simps_I2_J,axiom,
% 190.45/190.62 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zdiv__zadd1__eq,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_rel__simps_I20_J,axiom,
% 190.45/190.62 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_rel__simps_I23_J,axiom,
% 190.45/190.62 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_rel__simps_I26_J,axiom,
% 190.45/190.62 ! [V_k_2] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 190.45/190.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_rel__simps_I30_J,axiom,
% 190.45/190.62 ! [V_k_2] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 190.45/190.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_rel__simps_I3_J,axiom,
% 190.45/190.62 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_rel__simps_I6_J,axiom,
% 190.45/190.62 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_rel__simps_I9_J,axiom,
% 190.45/190.62 ! [V_k_2] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 190.45/190.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_rel__simps_I13_J,axiom,
% 190.45/190.62 ! [V_k_2] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 190.45/190.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_rel__simps_I28_J,axiom,
% 190.45/190.62 ! [V_k_2] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 190.45/190.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_rel__simps_I8_J,axiom,
% 190.45/190.62 ! [V_k_2] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 190.45/190.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zmod__int,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_eq__number__of__Pls__Min,axiom,
% 190.45/190.62 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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Int_OMin__def,axiom,
% 190.45/190.62 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mult__Min,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__mult__mult1__if,axiom,
% 190.45/190.62 ! [V_b,V_a,V_c,T_a] :
% 190.45/190.62 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.62 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => 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) )
% 190.45/190.62 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => 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) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__mult__self2__is__id,axiom,
% 190.45/190.62 ! [V_a,V_b,T_a] :
% 190.45/190.62 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.62 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => 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 ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__mult__self1__is__id,axiom,
% 190.45/190.62 ! [V_a,V_b,T_a] :
% 190.45/190.62 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.62 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => 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 ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__mult__mult2,axiom,
% 190.45/190.62 ! [V_b,V_a,V_c,T_a] :
% 190.45/190.62 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.62 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => 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) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__mult__mult1,axiom,
% 190.45/190.62 ! [V_b,V_a,V_c,T_a] :
% 190.45/190.62 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.62 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => 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) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_neg__number__of__Min,axiom,
% 190.45/190.62 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__self,axiom,
% 190.45/190.62 ! [V_a,T_a] :
% 190.45/190.62 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.62 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__div__trivial,axiom,
% 190.45/190.62 ! [V_b,V_a,T_a] :
% 190.45/190.62 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_pred__Pls,axiom,
% 190.45/190.62 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 190.45/190.62
% 190.45/190.62 fof(fact_add__Min,axiom,
% 190.45/190.62 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_add__Min__right,axiom,
% 190.45/190.62 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_pred__Min,axiom,
% 190.45/190.62 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_nonzero__number__of__Min,axiom,
% 190.45/190.62 ! [T_a] :
% 190.45/190.62 ( class_Int_Onumber__ring(T_a)
% 190.45/190.62 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__pos__neg__trivial,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 => 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) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_succ__Min,axiom,
% 190.45/190.62 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 190.45/190.62
% 190.45/190.62 fof(fact_diff__bin__simps_I2_J,axiom,
% 190.45/190.62 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zdiv__eq__0__iff,axiom,
% 190.45/190.62 ! [V_k_2,V_i_2] :
% 190.45/190.62 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 190.45/190.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 190.45/190.62 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 190.45/190.62 ! [V_a_2,V_b_2] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 190.45/190.62 ! [V_i_2,V_k_2] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 190.45/190.62 ! [V_b_2,V_a_2] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2))
% 190.45/190.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zdiv__mono2,axiom,
% 190.45/190.62 ! [V_b,V_b_H,V_a] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__nonneg__neg__le0,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => 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))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__pos__pos__trivial,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 190.45/190.62 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 190.45/190.62 ! [V_a_2,V_b_2] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__nonpos__pos__le0,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 190.45/190.62 => 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))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zdiv__mono2__neg,axiom,
% 190.45/190.62 ! [V_b,V_b_H,V_a] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__neg__neg__trivial,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 190.45/190.62 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zdiv__mono1,axiom,
% 190.45/190.62 ! [V_b,V_a_H,V_a] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 190.45/190.62 => 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))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zdiv__mono1__neg,axiom,
% 190.45/190.62 ! [V_b,V_a_H,V_a] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => 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))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__le__divisor,axiom,
% 190.45/190.62 ! [V_m,V_n] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_int__div__less__self,axiom,
% 190.45/190.62 ! [V_k,V_x] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zdiv__zmult2__eq,axiom,
% 190.45/190.62 ! [V_b,V_a,V_c] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__mult__self4,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mult__minus1__right,axiom,
% 190.45/190.62 ! [V_z,T_a] :
% 190.45/190.62 ( class_Int_Onumber__ring(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mult__minus1,axiom,
% 190.45/190.62 ! [V_z,T_a] :
% 190.45/190.62 ( class_Int_Onumber__ring(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_arith__simps_I31_J,axiom,
% 190.45/190.62 ! [T_a] :
% 190.45/190.62 ( class_Int_Onumber__ring(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_number__of__Min,axiom,
% 190.45/190.62 ! [T_a] :
% 190.45/190.62 ( class_Int_Onumber__ring(T_a)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zmod__zdiv__equality,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zdiv__zmult1__eq,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zdiv__zmod__equality,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zdiv__zmod__equality2,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zmult__div__cancel,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zmod__zdiv__equality_H,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_rel__simps_I25_J,axiom,
% 190.45/190.62 ! [V_k_2] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 190.45/190.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_rel__simps_I11_J,axiom,
% 190.45/190.62 ! [V_k_2] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 190.45/190.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zmod__minus1__right,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_diff__bin__simps_I4_J,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_minus__Min,axiom,
% 190.45/190.62 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 190.45/190.62 ! [V_n,V_m] :
% 190.45/190.62 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 190.45/190.62 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 190.45/190.62 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zmult__eq__1__iff,axiom,
% 190.45/190.62 ! [V_na_2,V_m_2] :
% 190.45/190.62 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 190.45/190.62 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 190.45/190.62 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 190.45/190.62 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 190.45/190.62 & V_na_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_diff__bin__simps_I5_J,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_diff__bin__simps_I6_J,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_power_Opower_Opower__0,axiom,
% 190.45/190.62 ! [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 ).
% 190.45/190.62
% 190.45/190.62 fof(fact_power_Opower_Opower__Suc,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__mult__self2,axiom,
% 190.45/190.62 ! [V_c,V_a,V_b,T_a] :
% 190.45/190.62 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.62 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__mult__self1,axiom,
% 190.45/190.62 ! [V_c,V_a,V_b,T_a] :
% 190.45/190.62 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.62 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__add__self2,axiom,
% 190.45/190.62 ! [V_a,V_b,T_a] :
% 190.45/190.62 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.62 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__add__self1,axiom,
% 190.45/190.62 ! [V_a,V_b,T_a] :
% 190.45/190.62 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.62 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__mod__equality,axiom,
% 190.45/190.62 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.62 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__mod__equality2,axiom,
% 190.45/190.62 ! [V_c,V_a,V_b,T_a] :
% 190.45/190.62 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__div__equality,axiom,
% 190.45/190.62 ! [V_b,V_a,T_a] :
% 190.45/190.62 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.62 => 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 ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__div__equality2,axiom,
% 190.45/190.62 ! [V_a,V_b,T_a] :
% 190.45/190.62 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.62 => 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 ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 190.45/190.62 ! [V_b,V_a,T_a] :
% 190.45/190.62 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.62 => 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 ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_split__mod,axiom,
% 190.45/190.62 ! [V_k_2,V_na_2,V_Pa_2] :
% 190.45/190.62 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_na_2,V_k_2)))
% 190.45/190.62 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.62 => hBOOL(hAPP(V_Pa_2,V_na_2)) )
% 190.45/190.62 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.62 => ! [B_i,B_j] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 190.45/190.62 => ( 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)
% 190.45/190.62 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__lemma,axiom,
% 190.45/190.62 ! [V_q,V_b,V_r,V_c] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 190.45/190.62 => 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))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Suc__times__mod__eq,axiom,
% 190.45/190.62 ! [V_m,V_k] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_nat__mod__distrib,axiom,
% 190.45/190.62 ! [V_y,V_x] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 190.45/190.62 ! [V_y,V_x] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 190.45/190.62 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.62 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 190.45/190.62 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.45/190.62 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__int__rel__div__eq,axiom,
% 190.45/190.62 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 190.45/190.62 ( 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)
% 190.45/190.62 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 190.45/190.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 190.45/190.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 190.45/190.62 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_split__zdiv,axiom,
% 190.45/190.62 ! [V_k_2,V_na_2,V_Pa_2] :
% 190.45/190.62 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_na_2),V_k_2)))
% 190.45/190.62 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 190.45/190.62 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 190.45/190.62 => ! [B_i] :
% 190.45/190.62 ( ? [B_j] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 190.45/190.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 190.45/190.62 & 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) )
% 190.45/190.62 => hBOOL(hAPP(V_Pa_2,B_i)) ) )
% 190.45/190.62 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => ! [B_i] :
% 190.45/190.62 ( ? [B_j] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 190.45/190.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 & 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) )
% 190.45/190.62 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zmod__zmult2__eq,axiom,
% 190.45/190.62 ! [V_b,V_a,V_c] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod2__Suc__Suc,axiom,
% 190.45/190.62 ! [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)))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zdiv__zminus1__eq__if,axiom,
% 190.45/190.62 ! [V_a,V_b] :
% 190.45/190.62 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => 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)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zdiv__zminus2__eq__if,axiom,
% 190.45/190.62 ! [V_a,V_b] :
% 190.45/190.62 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => 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)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_split__neg__lemma,axiom,
% 190.45/190.62 ! [V_na_2,V_Pa_2,V_k_2] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> ! [B_i,B_j] :
% 190.45/190.62 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 190.45/190.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 & 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) )
% 190.45/190.62 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_split__pos__lemma,axiom,
% 190.45/190.62 ! [V_na_2,V_Pa_2,V_k_2] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> ! [B_i,B_j] :
% 190.45/190.62 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 190.45/190.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 190.45/190.62 & 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) )
% 190.45/190.62 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__nat__number__of,axiom,
% 190.45/190.62 ! [V_v_H,V_v] :
% 190.45/190.62 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.45/190.62 => 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) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.45/190.62 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 190.45/190.62 => 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) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 190.45/190.62 => 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))) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zmod__minus1,axiom,
% 190.45/190.62 ! [V_b] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zdiv__number__of__Bit1,axiom,
% 190.45/190.62 ! [V_v,V_w] :
% 190.45/190.62 ( ( 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)))
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( ~ 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)))
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_int__power__div__base,axiom,
% 190.45/190.62 ! [V_k,V_m] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 190.45/190.62 => 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)))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod2__gr__0,axiom,
% 190.45/190.62 ! [V_m_2] :
% 190.45/190.62 ( 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))))))
% 190.45/190.62 <=> 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_one__mod__nat__number__of,axiom,
% 190.45/190.62 ! [V_v_H] :
% 190.45/190.62 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 190.45/190.62 => 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))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_power__m1__even,axiom,
% 190.45/190.62 ! [V_n,T_a] :
% 190.45/190.62 ( class_Int_Onumber__ring(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_z3div__def,axiom,
% 190.45/190.62 ! [V_k,V_l] :
% 190.45/190.62 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 190.45/190.62 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 190.45/190.62 => 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))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 190.45/190.62 ! [V_B_2,V_A_2] :
% 190.45/190.62 ( c_Nat__Transfer_Onat__set(V_A_2)
% 190.45/190.62 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.62 <=> 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 190.45/190.62 ! [V_B_2,V_A_2] :
% 190.45/190.62 ( c_Nat__Transfer_Onat__set(V_A_2)
% 190.45/190.62 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.62 <=> 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 190.45/190.62 ! [V_n] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.45/190.62 => 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)))))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_card__greaterThanLessThan__int,axiom,
% 190.45/190.62 ! [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)))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 190.45/190.62 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 190.45/190.62 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_finite__greaterThanLessThan__int,axiom,
% 190.45/190.62 ! [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))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__add1__eq,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__le__dividend,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__le__mono,axiom,
% 190.45/190.62 ! [V_k,V_n,V_m] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.45/190.62 => 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))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__mult2__eq,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__1,axiom,
% 190.45/190.62 ! [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 ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__less,axiom,
% 190.45/190.62 ! [V_n,V_m] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.45/190.62 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_nat__mult__div__cancel__disj,axiom,
% 190.45/190.62 ! [V_n,V_m,V_k] :
% 190.45/190.62 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.62 => 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) )
% 190.45/190.62 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.62 => 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) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__mult1__eq,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__mult2__eq,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Divides_Omod__div__equality_H,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mult__div__cancel,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__mod__equality_H,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zdiv__int,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 190.45/190.62 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_nat__set__def,axiom,
% 190.45/190.62 ! [V_S_2] :
% 190.45/190.62 ( c_Nat__Transfer_Onat__set(V_S_2)
% 190.45/190.62 <=> ! [B_x] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 190.45/190.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_greaterThanLessThan__empty,axiom,
% 190.45/190.62 ! [V_k_2,V_l_2,T_b] :
% 190.45/190.62 ( class_Orderings_Oorder(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__le__mono2,axiom,
% 190.45/190.62 ! [V_k,V_n,V_m] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.45/190.62 => 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))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_nat__mult__div__cancel1,axiom,
% 190.45/190.62 ! [V_n,V_m,V_k] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__mult__self1__is__m,axiom,
% 190.45/190.62 ! [V_m,V_n] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.45/190.62 => 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 ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__mult__self__is__m,axiom,
% 190.45/190.62 ! [V_m,V_n] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.45/190.62 => 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 ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__less__dividend,axiom,
% 190.45/190.62 ! [V_m,V_n] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 190.45/190.62 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.62 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 190.45/190.62 ! [V_B_2,V_A_2] :
% 190.45/190.62 ( c_Nat__Transfer_Onat__set(V_A_2)
% 190.45/190.62 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 190.45/190.62 => ( V_A_2 = V_B_2
% 190.45/190.62 <=> 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) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__if,axiom,
% 190.45/190.62 ! [V_m,V_n] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.45/190.62 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.45/190.62 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.45/190.62 => 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)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__geq,axiom,
% 190.45/190.62 ! [V_m,V_n] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.45/190.62 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_split__div,axiom,
% 190.45/190.62 ! [V_k_2,V_na_2,V_Pa_2] :
% 190.45/190.62 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_na_2),V_k_2)))
% 190.45/190.62 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.62 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 190.45/190.62 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.62 => ! [B_i,B_j] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 190.45/190.62 => ( 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)
% 190.45/190.62 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 190.45/190.62 ! [V_y,V_x] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_nat__div__distrib,axiom,
% 190.45/190.62 ! [V_y,V_x] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 190.45/190.62 ! [V_x_2,V_A_2] :
% 190.45/190.62 ( c_Nat__Transfer_Onat__set(V_A_2)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 190.45/190.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_le__div__geq,axiom,
% 190.45/190.62 ! [V_m,V_n] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_split__div_H,axiom,
% 190.45/190.62 ! [V_na_2,V_m_2,V_Pa_2] :
% 190.45/190.62 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2)))
% 190.45/190.62 <=> ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.62 & hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 190.45/190.62 | ? [B_q] :
% 190.45/190.62 ( 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))
% 190.45/190.62 & 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))))
% 190.45/190.62 & hBOOL(hAPP(V_Pa_2,B_q)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_split__div__lemma,axiom,
% 190.45/190.62 ! [V_m_2,V_q_2,V_na_2] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 190.45/190.62 => ( ( 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))
% 190.45/190.62 & 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)))) )
% 190.45/190.62 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Suc__div__eq__add3__div,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__Suc__eq__div__add3,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div2__Suc__Suc,axiom,
% 190.45/190.62 ! [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))))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_add__self__div__2,axiom,
% 190.45/190.62 ! [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 ).
% 190.45/190.62
% 190.45/190.62 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 190.45/190.62 ! [V_A_2] :
% 190.45/190.62 ( c_Nat__Transfer_Onat__set(V_A_2)
% 190.45/190.62 => 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 ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__nat__number__of,axiom,
% 190.45/190.62 ! [V_v_H,V_v] :
% 190.45/190.62 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.45/190.62 => 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) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.45/190.62 => 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))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 190.45/190.62 ! [V_A_2] :
% 190.45/190.62 ( c_Nat__Transfer_Onat__set(V_A_2)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 190.45/190.62 <=> 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))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 190.45/190.62 ! [V_A_2] :
% 190.45/190.62 ( c_Nat__Transfer_Onat__set(V_A_2)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__2__gt__zero,axiom,
% 190.45/190.62 ! [V_n] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 190.45/190.62 => 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)))))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_one__div__nat__number__of,axiom,
% 190.45/190.62 ! [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))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_int__of__code,axiom,
% 190.45/190.62 ! [V_k] :
% 190.45/190.62 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 190.45/190.62 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 190.45/190.62 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 190.45/190.62 => ( ( 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)
% 190.45/190.62 => 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)))))) )
% 190.45/190.62 & ( 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)
% 190.45/190.62 => 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)) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 190.45/190.62 ! [V_A_2,V_x_2] :
% 190.45/190.62 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 190.45/190.62 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 190.45/190.62 <=> 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_ord_OatMost__iff,axiom,
% 190.45/190.62 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2)))
% 190.45/190.62 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_ord_OatLeast__iff,axiom,
% 190.45/190.62 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2)))
% 190.45/190.62 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_ord_OlessThan__iff,axiom,
% 190.45/190.62 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2)))
% 190.45/190.62 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_ord_OgreaterThan__iff,axiom,
% 190.45/190.62 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2)))
% 190.45/190.62 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_finite__greaterThanLessThan,axiom,
% 190.45/190.62 ! [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))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_code__numeral__zero__minus__one,axiom,
% 190.45/190.62 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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 190.45/190.62 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 190.45/190.62 ! [V_y,V_x] :
% 190.45/190.62 ( c_Nat__Transfer_Ois__nat(V_x)
% 190.45/190.62 => ( c_Nat__Transfer_Ois__nat(V_y)
% 190.45/190.62 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 190.45/190.62 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 190.45/190.62 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 190.45/190.62 ! [V_y,V_x] :
% 190.45/190.62 ( c_Nat__Transfer_Ois__nat(V_x)
% 190.45/190.62 => ( c_Nat__Transfer_Ois__nat(V_y)
% 190.45/190.62 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 190.45/190.62 ! [V_y,V_x] :
% 190.45/190.62 ( c_Nat__Transfer_Ois__nat(V_x)
% 190.45/190.62 => ( c_Nat__Transfer_Ois__nat(V_y)
% 190.45/190.62 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 190.45/190.62 ! [V_y,V_x] :
% 190.45/190.62 ( c_Nat__Transfer_Ois__nat(V_x)
% 190.45/190.62 => ( c_Nat__Transfer_Ois__nat(V_y)
% 190.45/190.62 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 190.45/190.62 ! [V_n,V_x] :
% 190.45/190.62 ( c_Nat__Transfer_Ois__nat(V_x)
% 190.45/190.62 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 190.45/190.62 ! [V_y,V_x] :
% 190.45/190.62 ( c_Nat__Transfer_Ois__nat(V_x)
% 190.45/190.62 => ( c_Nat__Transfer_Ois__nat(V_y)
% 190.45/190.62 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_is__nat__def,axiom,
% 190.45/190.62 ! [V_x_2] :
% 190.45/190.62 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 190.45/190.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 190.45/190.62 ! [V_x_2,V_A_2] :
% 190.45/190.62 ( c_Nat__Transfer_Onat__set(V_A_2)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 190.45/190.62 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zero__code__numeral__code,axiom,
% 190.45/190.62 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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 190.45/190.62 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_card__greaterThanLessThan,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 190.45/190.62 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_one__code__numeral__code,axiom,
% 190.45/190.62 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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_code__numeral_Osize_I1_J,axiom,
% 190.45/190.62 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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 190.45/190.62 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 190.45/190.62 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 190.45/190.62 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 190.45/190.62 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 190.45/190.62 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 190.45/190.62 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Min_Oremove,axiom,
% 190.45/190.62 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.62 => ( ( hAPP(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))
% 190.45/190.62 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 )
% 190.45/190.62 & ( hAPP(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))
% 190.45/190.62 => 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)))))) ) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_of__int__of__nat,axiom,
% 190.45/190.62 ! [V_k,T_a] :
% 190.45/190.62 ( class_Rings_Oring__1(T_a)
% 190.45/190.62 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => 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)))) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => 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)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_of__int__eq__iff,axiom,
% 190.45/190.62 ! [V_z_2,V_w_2,T_b] :
% 190.45/190.62 ( class_Int_Oring__char__0(T_b)
% 190.45/190.62 => ( 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)
% 190.45/190.62 <=> V_w_2 = V_z_2 ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_number__of__eq,axiom,
% 190.45/190.62 ! [V_k,T_a] :
% 190.45/190.62 ( class_Int_Onumber__ring(T_a)
% 190.45/190.62 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_int__number__of__def,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_of__int__int__eq,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_of__int__eq__0__iff,axiom,
% 190.45/190.62 ! [V_z_2,T_b] :
% 190.45/190.62 ( class_Int_Oring__char__0(T_b)
% 190.45/190.62 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.62 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_of__int__0__eq__iff,axiom,
% 190.45/190.62 ! [V_z_2,T_b] :
% 190.45/190.62 ( class_Int_Oring__char__0(T_b)
% 190.45/190.62 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 190.45/190.62 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_of__int__0,axiom,
% 190.45/190.62 ! [T_a] :
% 190.45/190.62 ( class_Rings_Oring__1(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_of__int__le__iff,axiom,
% 190.45/190.62 ! [V_z_2,V_w_2,T_b] :
% 190.45/190.62 ( class_Rings_Olinordered__idom(T_b)
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_of__int__less__iff,axiom,
% 190.45/190.62 ! [V_z_2,V_w_2,T_b] :
% 190.45/190.62 ( class_Rings_Olinordered__idom(T_b)
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_of__int__add,axiom,
% 190.45/190.62 ! [V_z,V_w,T_a] :
% 190.45/190.62 ( class_Rings_Oring__1(T_a)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_of__int__number__of__eq,axiom,
% 190.45/190.62 ! [V_v,T_a] :
% 190.45/190.62 ( class_Int_Onumber__ring(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_of__int__mult,axiom,
% 190.45/190.62 ! [V_z,V_w,T_a] :
% 190.45/190.62 ( class_Rings_Oring__1(T_a)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_of__int__1,axiom,
% 190.45/190.62 ! [T_a] :
% 190.45/190.62 ( class_Rings_Oring__1(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_of__int__diff,axiom,
% 190.45/190.62 ! [V_z,V_w,T_a] :
% 190.45/190.62 ( class_Rings_Oring__1(T_a)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Min_Osingleton,axiom,
% 190.45/190.62 ! [V_x_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => 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 ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_of__int__of__nat__eq,axiom,
% 190.45/190.62 ! [V_n,T_a] :
% 190.45/190.62 ( class_Rings_Oring__1(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_of__int__minus,axiom,
% 190.45/190.62 ! [V_z,T_a] :
% 190.45/190.62 ( class_Rings_Oring__1(T_a)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Ints__of__int,axiom,
% 190.45/190.62 ! [V_z_2,T_b] :
% 190.45/190.62 ( class_Rings_Oring__1(T_b)
% 190.45/190.62 => 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))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_of__int__power,axiom,
% 190.45/190.62 ! [V_n,V_z,T_a] :
% 190.45/190.62 ( class_Rings_Oring__1(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Min__le,axiom,
% 190.45/190.62 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.62 => 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)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Min__in,axiom,
% 190.45/190.62 ! [V_A_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.62 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Min_Oin__idem,axiom,
% 190.45/190.62 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.62 => 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) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_of__int__m1,axiom,
% 190.45/190.62 ! [T_a] :
% 190.45/190.62 ( class_Int_Onumber__ring(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Min_OF__eq,axiom,
% 190.45/190.62 ! [V_A_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => 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) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_of__int__le__0__iff,axiom,
% 190.45/190.62 ! [V_z_2,T_b] :
% 190.45/190.62 ( class_Rings_Olinordered__idom(T_b)
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_of__int__0__le__iff,axiom,
% 190.45/190.62 ! [V_z_2,T_b] :
% 190.45/190.62 ( class_Rings_Olinordered__idom(T_b)
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_of__int__less__0__iff,axiom,
% 190.45/190.62 ! [V_z_2,T_b] :
% 190.45/190.62 ( class_Rings_Olinordered__idom(T_b)
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_of__int__0__less__iff,axiom,
% 190.45/190.62 ! [V_z_2,T_b] :
% 190.45/190.62 ( class_Rings_Olinordered__idom(T_b)
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Min__antimono,axiom,
% 190.45/190.62 ! [V_N_2,V_M_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 190.45/190.62 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 190.45/190.62 => 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))) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_of__nat__nat,axiom,
% 190.45/190.62 ! [V_z,T_a] :
% 190.45/190.62 ( class_Rings_Oring__1(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 190.45/190.62 => 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) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Min__insert,axiom,
% 190.45/190.62 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.62 => 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)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Min_Osubset__idem,axiom,
% 190.45/190.62 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.45/190.62 => 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) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Min_Oinsert,axiom,
% 190.45/190.62 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.62 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.62 => 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)) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Min_Oinsert__remove,axiom,
% 190.45/190.62 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => ( ( hAPP(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))
% 190.45/190.62 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 190.45/190.62 & ( hAPP(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))
% 190.45/190.62 => 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)))))) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_nat__of__aux__code,axiom,
% 190.45/190.62 ! [V_n,V_i] :
% 190.45/190.62 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 190.45/190.62 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 190.45/190.62 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_of__int__num,axiom,
% 190.45/190.62 ! [V_k_2,T_b] :
% 190.45/190.62 ( class_Rings_Oring__1(T_b)
% 190.45/190.62 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) )
% 190.45/190.62 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => 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))) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => 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))))) ) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_code__numeral_Osize_I2_J,axiom,
% 190.45/190.62 ! [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))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Min_Oclosed,axiom,
% 190.45/190.62 ! [V_A_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.62 => ( ! [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))))))
% 190.45/190.62 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 190.45/190.62 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.62 => ( ( hAPP(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))
% 190.45/190.62 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 )
% 190.45/190.62 & ( hAPP(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))
% 190.45/190.62 => 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)))))) ) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_setprod__gen__delta,axiom,
% 190.45/190.62 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 190.45/190.62 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 190.45/190.62 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 190.45/190.62 => 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)))) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 190.45/190.62 => 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)) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_of__int__setprod,axiom,
% 190.45/190.62 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.62 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 190.45/190.62 & class_Rings_Oring__1(T_b) )
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_of__nat__setprod,axiom,
% 190.45/190.62 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.62 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 190.45/190.62 & class_Rings_Osemiring__1(T_b) )
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_int__setprod,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_code__numeral_Oinject,axiom,
% 190.45/190.62 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 190.45/190.62 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 190.45/190.62 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_setprod__timesf,axiom,
% 190.45/190.62 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 190.45/190.62 ( class_Groups_Ocomm__monoid__mult(T_b)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_setprod__1,axiom,
% 190.45/190.62 ! [V_A_2,T_c,T_b] :
% 190.45/190.62 ( class_Groups_Ocomm__monoid__mult(T_b)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 190.45/190.62 ! [V_A_2,V_f_2,T_b] :
% 190.45/190.62 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.62 & class_Groups_Ocomm__monoid__mult(T_b) )
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_setprod__zero__iff,axiom,
% 190.45/190.62 ! [V_f_2,V_A_2,T_b,T_c] :
% 190.45/190.62 ( ( class_Rings_Ocomm__semiring__1(T_c)
% 190.45/190.62 & class_Rings_Ono__zero__divisors(T_c) )
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => ( 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)
% 190.45/190.62 <=> ? [B_x] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.62 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_setprod__zero,axiom,
% 190.45/190.62 ! [V_f_2,V_A_2,T_b,T_c] :
% 190.45/190.62 ( class_Rings_Ocomm__semiring__1(T_c)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => ( ? [B_x] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.62 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 190.45/190.62 => 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) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_setprod_Oempty,axiom,
% 190.45/190.62 ! [V_g_2,T_c,T_b] :
% 190.45/190.62 ( class_Groups_Ocomm__monoid__mult(T_b)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_setprod__empty,axiom,
% 190.45/190.62 ! [V_f_2,T_c,T_b] :
% 190.45/190.62 ( class_Groups_Ocomm__monoid__mult(T_b)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_setprod__infinite,axiom,
% 190.45/190.62 ! [V_f_2,V_A_2,T_b,T_c] :
% 190.45/190.62 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.62 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => 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) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_setprod_Oinfinite,axiom,
% 190.45/190.62 ! [V_g_2,V_A_2,T_b,T_c] :
% 190.45/190.62 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.62 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => 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) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_setprod__eq__1__iff,axiom,
% 190.45/190.62 ! [V_f_2,V_F_2,T_b] :
% 190.45/190.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 190.45/190.62 => ( 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)
% 190.45/190.62 <=> ! [B_x] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 190.45/190.62 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 190.45/190.62 ! [V_f_2,V_A_2,T_b] :
% 190.45/190.62 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.62 & class_Groups_Ocomm__monoid__mult(T_b) )
% 190.45/190.62 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_setprod_Odistrib,axiom,
% 190.45/190.62 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 190.45/190.62 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 190.45/190.62 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_setprod__pos__nat__iff,axiom,
% 190.45/190.62 ! [V_f_2,V_S_2,T_b] :
% 190.45/190.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> ! [B_x] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_setprod__delta_H,axiom,
% 190.45/190.62 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 190.45/190.62 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 190.45/190.62 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 190.45/190.62 => 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) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 190.45/190.62 => 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) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_setprod__delta,axiom,
% 190.45/190.62 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 190.45/190.62 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 190.45/190.62 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 190.45/190.62 => 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) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 190.45/190.62 => 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) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_setprod__constant,axiom,
% 190.45/190.62 ! [V_y_2,V_A_2,T_b,T_c] :
% 190.45/190.62 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 190.45/190.62 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.62 => 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) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 190.45/190.62 ! [V_x_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => 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 ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_setprod__insert,axiom,
% 190.45/190.62 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 190.45/190.62 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.62 => 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)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_setprod_Oinsert,axiom,
% 190.45/190.62 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 190.45/190.62 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.62 => 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)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 190.45/190.62 ! [V_A_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => 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) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_setprod_OF__eq,axiom,
% 190.45/190.62 ! [V_g_2,V_A_2,T_b,T_c] :
% 190.45/190.62 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.62 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => 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) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => 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) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_setprod_Oeq__fold,axiom,
% 190.45/190.62 ! [V_g_2,V_A_2,T_b,T_c] :
% 190.45/190.62 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => 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) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_setprod_Oinsert__remove,axiom,
% 190.45/190.62 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 190.45/190.62 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => 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)))))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Suc__code__numeral__minus__one,axiom,
% 190.45/190.62 ! [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 ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 190.45/190.62 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.62 => 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)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 190.45/190.62 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.45/190.62 => 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) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_setprod_Oremove,axiom,
% 190.45/190.62 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 190.45/190.62 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.62 => 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)))))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 190.45/190.62 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.62 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.62 => 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)) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 190.45/190.62 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => ( ( hAPP(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))
% 190.45/190.62 => 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 )
% 190.45/190.62 & ( hAPP(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))
% 190.45/190.62 => 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)))))) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_code__numeral_Osize_I4_J,axiom,
% 190.45/190.62 ! [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))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 190.45/190.62 ! [V_A_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.62 => ( ! [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))))))
% 190.45/190.62 => 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)) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__int__rel__def,axiom,
% 190.45/190.62 ! [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))))))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Nitpick_OFrac__def,axiom,
% 190.45/190.62 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)))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_setprod__diff1,axiom,
% 190.45/190.62 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] :
% 190.45/190.62 ( class_Fields_Ofield(T_c)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c)
% 190.45/190.62 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.62 => 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) ) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_adjust__def,axiom,
% 190.45/190.62 ! [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))))))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_unique__remainder,axiom,
% 190.45/190.62 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => V_r = V_r_H ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_unique__quotient,axiom,
% 190.45/190.62 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => V_q = V_q_H ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_self__remainder,axiom,
% 190.45/190.62 ! [V_r,V_q,V_a] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__int__rel__0,axiom,
% 190.45/190.62 ! [V_b] :
% 190.45/190.62 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => 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)))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_bot__empty__eq2,axiom,
% 190.45/190.62 ! [V_y_2,V_x_2,T_c,T_b] :
% 190.45/190.62 ( 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))
% 190.45/190.62 <=> 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)))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_pred__subset__eq2,axiom,
% 190.45/190.62 ! [V_S_2,V_R_2,T_c,T_b] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 <=> 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_pred__equals__eq2,axiom,
% 190.45/190.62 ! [V_S_2,V_R_2,T_c,T_b] :
% 190.45/190.62 ( 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)
% 190.45/190.62 <=> V_R_2 = V_S_2 ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__zero,axiom,
% 190.45/190.62 ! [V_a,T_a] :
% 190.45/190.62 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__zero__left,axiom,
% 190.45/190.62 ! [V_a,T_a] :
% 190.45/190.62 ( class_Rings_Odivision__ring(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_add__divide__distrib,axiom,
% 190.45/190.62 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.62 ( class_Rings_Odivision__ring(T_a)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_times__divide__eq__right,axiom,
% 190.45/190.62 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.62 ( class_Rings_Odivision__ring(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_diff__divide__distrib,axiom,
% 190.45/190.62 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.62 ( class_Rings_Odivision__ring(T_a)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__1,axiom,
% 190.45/190.62 ! [V_a,T_a] :
% 190.45/190.62 ( class_Rings_Odivision__ring(T_a)
% 190.45/190.62 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_minus__divide__left,axiom,
% 190.45/190.62 ! [V_b,V_a,T_a] :
% 190.45/190.62 ( class_Rings_Odivision__ring(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_power__divide,axiom,
% 190.45/190.62 ! [V_n,V_b,V_a,T_a] :
% 190.45/190.62 ( class_Fields_Ofield__inverse__zero(T_a)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_self__quotient,axiom,
% 190.45/190.62 ! [V_r,V_q,V_a] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__int__rel__mod,axiom,
% 190.45/190.62 ! [V_r,V_q,V_b,V_a] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__int__rel__div,axiom,
% 190.45/190.62 ! [V_r,V_q,V_b,V_a] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__int__rel__div__mod,axiom,
% 190.45/190.62 ! [V_a,V_b] :
% 190.45/190.62 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => 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)))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_nonzero__eq__divide__eq,axiom,
% 190.45/190.62 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 190.45/190.62 ( class_Rings_Odivision__ring(T_b)
% 190.45/190.62 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.62 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 190.45/190.62 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_nonzero__divide__eq__eq,axiom,
% 190.45/190.62 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 190.45/190.62 ( class_Rings_Odivision__ring(T_b)
% 190.45/190.62 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.62 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 190.45/190.62 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__eq__imp,axiom,
% 190.45/190.62 ! [V_a,V_b,V_c,T_a] :
% 190.45/190.62 ( class_Rings_Odivision__ring(T_a)
% 190.45/190.62 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 190.45/190.62 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_eq__divide__imp,axiom,
% 190.45/190.62 ! [V_b,V_a,V_c,T_a] :
% 190.45/190.62 ( class_Rings_Odivision__ring(T_a)
% 190.45/190.62 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 190.45/190.62 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_right__inverse__eq,axiom,
% 190.45/190.62 ! [V_a_2,V_b_2,T_b] :
% 190.45/190.62 ( class_Rings_Odivision__ring(T_b)
% 190.45/190.62 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.62 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b)
% 190.45/190.62 <=> V_a_2 = V_b_2 ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__self,axiom,
% 190.45/190.62 ! [V_a,T_a] :
% 190.45/190.62 ( class_Rings_Odivision__ring(T_a)
% 190.45/190.62 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__self__if,axiom,
% 190.45/190.62 ! [V_a,T_a] :
% 190.45/190.62 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 190.45/190.62 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 190.45/190.62 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_nonzero__minus__divide__divide,axiom,
% 190.45/190.62 ! [V_a,V_b,T_a] :
% 190.45/190.62 ( class_Rings_Odivision__ring(T_a)
% 190.45/190.62 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => 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) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_nonzero__minus__divide__right,axiom,
% 190.45/190.62 ! [V_a,V_b,T_a] :
% 190.45/190.62 ( class_Rings_Odivision__ring(T_a)
% 190.45/190.62 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_nonzero__power__divide,axiom,
% 190.45/190.62 ! [V_n,V_a,V_b,T_a] :
% 190.45/190.62 ( class_Fields_Ofield(T_a)
% 190.45/190.62 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_power__one__over,axiom,
% 190.45/190.62 ! [V_n,V_a,T_a] :
% 190.45/190.62 ( class_Fields_Ofield__inverse__zero(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zadd1__lemma,axiom,
% 190.45/190.62 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => 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)))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zminus1__lemma,axiom,
% 190.45/190.62 ! [V_r_2,V_q_2,V_b_2,V_a_2] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => 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))))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_setprod__dividef,axiom,
% 190.45/190.62 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 190.45/190.62 ( class_Fields_Ofield__inverse__zero(T_c)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__int__relI,axiom,
% 190.45/190.62 ! [V_r,V_q,V_b,V_a] :
% 190.45/190.62 ( 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)
% 190.45/190.62 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 190.45/190.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 190.45/190.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 190.45/190.62 => 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))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_eq__divide__eq__number__of1,axiom,
% 190.45/190.62 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 190.45/190.62 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 190.45/190.62 & class_Int_Onumber(T_b) )
% 190.45/190.62 => ( 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))
% 190.45/190.62 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.62 => 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 )
% 190.45/190.62 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.62 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_eq__divide__eq__number__of,axiom,
% 190.45/190.62 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 190.45/190.62 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 190.45/190.62 & class_Int_Onumber(T_b) )
% 190.45/190.62 => ( 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)
% 190.45/190.62 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.62 => 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 )
% 190.45/190.62 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.62 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__eq__eq__number__of,axiom,
% 190.45/190.62 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 190.45/190.62 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 190.45/190.62 & class_Int_Onumber(T_b) )
% 190.45/190.62 => ( 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)
% 190.45/190.62 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.62 => 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) )
% 190.45/190.62 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.62 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__eq__eq__number__of1,axiom,
% 190.45/190.62 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 190.45/190.62 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 190.45/190.62 & class_Int_Onumber(T_b) )
% 190.45/190.62 => ( 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
% 190.45/190.62 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.62 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zmult1__lemma,axiom,
% 190.45/190.62 ! [V_a,V_r,V_q,V_c,V_b] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => 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)))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__Numeral0,axiom,
% 190.45/190.62 ! [V_x,T_a] :
% 190.45/190.62 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 190.45/190.62 & class_Int_Onumber__ring(T_a) )
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__numeral__1,axiom,
% 190.45/190.62 ! [V_a,T_a] :
% 190.45/190.62 ( ( class_Fields_Ofield(T_a)
% 190.45/190.62 & class_Int_Onumber__ring(T_a) )
% 190.45/190.62 => 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 ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__Numeral1,axiom,
% 190.45/190.62 ! [V_x,T_a] :
% 190.45/190.62 ( ( class_Fields_Ofield(T_a)
% 190.45/190.62 & class_Int_Onumber__ring(T_a) )
% 190.45/190.62 => 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 ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__minus1,axiom,
% 190.45/190.62 ! [V_x,T_a] :
% 190.45/190.62 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 190.45/190.62 & class_Int_Onumber__ring(T_a) )
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__int__correct,axiom,
% 190.45/190.62 ! [V_a,V_b] :
% 190.45/190.62 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zmult2__lemma,axiom,
% 190.45/190.62 ! [V_c,V_r,V_q,V_b,V_a] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 190.45/190.62 => 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)))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__int__mod__div,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__less__eq__number__of1,axiom,
% 190.45/190.62 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 190.45/190.62 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.45/190.62 & class_Int_Onumber(T_b) )
% 190.45/190.62 => ( 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))
% 190.45/190.62 <=> ( ( 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)))
% 190.45/190.62 => 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)))) )
% 190.45/190.62 & ( ~ 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)))
% 190.45/190.62 => ( ( 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)))
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( ~ 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)))
% 190.45/190.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__less__eq__number__of,axiom,
% 190.45/190.62 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 190.45/190.62 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.45/190.62 & class_Int_Onumber(T_b) )
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.45/190.62 => 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))) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.45/190.62 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.62 => 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))) ) ) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_less__divide__eq__number__of,axiom,
% 190.45/190.62 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 190.45/190.62 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.45/190.62 & class_Int_Onumber(T_b) )
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.45/190.62 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.62 => 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))) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.62 => 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))) ) ) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_less__divide__eq__number__of1,axiom,
% 190.45/190.62 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 190.45/190.62 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.45/190.62 & class_Int_Onumber(T_b) )
% 190.45/190.62 => ( 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))))
% 190.45/190.62 <=> ( ( 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)))
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( ~ 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)))
% 190.45/190.62 => ( ( 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)))
% 190.45/190.62 => 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)))) )
% 190.45/190.62 & ( ~ 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)))
% 190.45/190.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_power__diff,axiom,
% 190.45/190.62 ! [V_m,V_n,V_a,T_a] :
% 190.45/190.62 ( class_Fields_Ofield(T_a)
% 190.45/190.62 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 190.45/190.62 => 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)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_minus1__divide,axiom,
% 190.45/190.62 ! [V_x,T_a] :
% 190.45/190.62 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 190.45/190.62 & class_Int_Onumber__ring(T_a) )
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_le__divide__eq__number__of1,axiom,
% 190.45/190.62 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 190.45/190.62 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.45/190.62 & class_Int_Onumber(T_b) )
% 190.45/190.62 => ( 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))))
% 190.45/190.62 <=> ( ( 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)))
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( ~ 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)))
% 190.45/190.62 => ( ( 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)))
% 190.45/190.62 => 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)))) )
% 190.45/190.62 & ( ~ 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)))
% 190.45/190.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_le__divide__eq__number__of,axiom,
% 190.45/190.62 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 190.45/190.62 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.45/190.62 & class_Int_Onumber(T_b) )
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.45/190.62 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.62 => 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))) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.62 => 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))) ) ) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__le__eq__number__of,axiom,
% 190.45/190.62 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 190.45/190.62 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.45/190.62 & class_Int_Onumber(T_b) )
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.45/190.62 => 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))) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.45/190.62 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.62 => 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))) ) ) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__le__eq__number__of1,axiom,
% 190.45/190.62 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 190.45/190.62 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.45/190.62 & class_Int_Onumber(T_b) )
% 190.45/190.62 => ( 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))
% 190.45/190.62 <=> ( ( 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)))
% 190.45/190.62 => 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)))) )
% 190.45/190.62 & ( ~ 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)))
% 190.45/190.62 => ( ( 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)))
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( ~ 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)))
% 190.45/190.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_half__gt__zero__iff,axiom,
% 190.45/190.62 ! [V_r_2,T_b] :
% 190.45/190.62 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.45/190.62 & class_Int_Onumber__ring(T_b) )
% 190.45/190.62 => ( 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))))))
% 190.45/190.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_half__gt__zero,axiom,
% 190.45/190.62 ! [V_r,T_a] :
% 190.45/190.62 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 190.45/190.62 & class_Int_Onumber__ring(T_a) )
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 190.45/190.62 => 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)))))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_code__numeral_Osize_I3_J,axiom,
% 190.45/190.62 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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_adjust__eq,axiom,
% 190.45/190.62 ! [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))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_pair__imageI,axiom,
% 190.45/190.62 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 190.45/190.62 ( 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))
% 190.45/190.62 => 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))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_norm__frac_Osimps,axiom,
% 190.45/190.62 ! [V_a_2,V_b_2] :
% 190.45/190.62 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 190.45/190.62 => 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))) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 190.45/190.62 ! [V_w] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( ( 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))))
% 190.45/190.62 => 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))) )
% 190.45/190.62 & ( ~ 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))))
% 190.45/190.62 => 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)))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_prod__caseI,axiom,
% 190.45/190.62 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2))
% 190.45/190.62 => 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))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_splitI,axiom,
% 190.45/190.62 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2))
% 190.45/190.62 => 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))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_le__divide__eq,axiom,
% 190.45/190.62 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 190.45/190.62 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.45/190.62 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.62 => 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))) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mem__splitI,axiom,
% 190.45/190.62 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2)))
% 190.45/190.62 => 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)))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_bot2E,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_splitD_H,axiom,
% 190.45/190.62 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] :
% 190.45/190.62 ( 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))
% 190.45/190.62 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_predicate2D,axiom,
% 190.45/190.62 ! [V_y_2,V_x_2,V_Q_2,V_Pa_2,T_c,T_b] :
% 190.45/190.62 ( 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))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 190.45/190.62 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_rev__predicate2D,axiom,
% 190.45/190.62 ! [V_Q_2,T_c,T_b,V_y_2,V_x_2,V_Pa_2] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 190.45/190.62 => ( 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))
% 190.45/190.62 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_less__by__empty,axiom,
% 190.45/190.62 ! [V_B_2,T_b,V_A_2] :
% 190.45/190.62 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Pair__inject,axiom,
% 190.45/190.62 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 190.45/190.62 ( 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)
% 190.45/190.62 => ~ ( V_a = V_a_H
% 190.45/190.62 => V_b != V_b_H ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Pair__eq,axiom,
% 190.45/190.62 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 190.45/190.62 ( 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)
% 190.45/190.62 <=> ( V_a_2 = V_a_H_2
% 190.45/190.62 & V_b_2 = V_b_H_2 ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_split__paired__All,axiom,
% 190.45/190.62 ! [T_c,T_b,V_Pa_2] :
% 190.45/190.62 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 190.45/190.62 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_split__weak__cong,axiom,
% 190.45/190.62 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] :
% 190.45/190.62 ( V_p_2 = V_q_2
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_negDivAlg__correct,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 190.45/190.62 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_times__divide__times__eq,axiom,
% 190.45/190.62 ! [V_w,V_z,V_y,V_x,T_a] :
% 190.45/190.62 ( class_Fields_Ofield__inverse__zero(T_a)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_split__conv,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_prod_Osimps_I2_J,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_minus__divide__right,axiom,
% 190.45/190.62 ! [V_b,V_a,T_a] :
% 190.45/190.62 ( class_Fields_Ofield__inverse__zero(T_a)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_minus__divide__divide,axiom,
% 190.45/190.62 ! [V_b,V_a,T_a] :
% 190.45/190.62 ( class_Fields_Ofield__inverse__zero(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_splitD,axiom,
% 190.45/190.62 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_negDivAlg__div__mod,axiom,
% 190.45/190.62 ! [V_l,V_k] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_negDivAlg__minus1,axiom,
% 190.45/190.62 ! [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))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_split__eta,axiom,
% 190.45/190.62 ! [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 ).
% 190.45/190.62
% 190.45/190.62 fof(fact_The__split__eq,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_split__paired__The,axiom,
% 190.45/190.62 ! [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)))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_split__twice,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zero__le__divide__iff,axiom,
% 190.45/190.62 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.62 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 190.45/190.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 190.45/190.62 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__le__0__iff,axiom,
% 190.45/190.62 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.62 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 190.45/190.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 190.45/190.62 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__right__mono,axiom,
% 190.45/190.62 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.62 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__right__mono__neg,axiom,
% 190.45/190.62 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.62 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_zero__less__divide__iff,axiom,
% 190.45/190.62 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.62 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 190.45/190.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 190.45/190.62 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__less__0__iff,axiom,
% 190.45/190.62 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.62 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 190.45/190.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 190.45/190.62 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__pos__pos,axiom,
% 190.45/190.62 ! [V_y,V_x,T_a] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__pos__neg,axiom,
% 190.45/190.62 ! [V_y,V_x,T_a] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__neg__pos,axiom,
% 190.45/190.62 ! [V_y,V_x,T_a] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__neg__neg,axiom,
% 190.45/190.62 ! [V_y,V_x,T_a] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__strict__right__mono,axiom,
% 190.45/190.62 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__strict__right__mono__neg,axiom,
% 190.45/190.62 ! [V_c,V_a,V_b,T_a] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_eq__divide__eq,axiom,
% 190.45/190.62 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 190.45/190.62 ( class_Fields_Ofield__inverse__zero(T_b)
% 190.45/190.62 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 190.45/190.62 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.62 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 )
% 190.45/190.62 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.62 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__eq__eq,axiom,
% 190.45/190.62 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 190.45/190.62 ( class_Fields_Ofield__inverse__zero(T_b)
% 190.45/190.62 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 190.45/190.62 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.62 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) )
% 190.45/190.62 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.62 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mult__divide__mult__cancel__right,axiom,
% 190.45/190.62 ! [V_b,V_a,V_c,T_a] :
% 190.45/190.62 ( class_Fields_Ofield__inverse__zero(T_a)
% 190.45/190.62 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => 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) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mult__divide__mult__cancel__left,axiom,
% 190.45/190.62 ! [V_b,V_a,V_c,T_a] :
% 190.45/190.62 ( class_Fields_Ofield__inverse__zero(T_a)
% 190.45/190.62 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => 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) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_frac__eq__eq,axiom,
% 190.45/190.62 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] :
% 190.45/190.62 ( class_Fields_Ofield(T_b)
% 190.45/190.62 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.62 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.62 => ( 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)
% 190.45/190.62 <=> 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) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__nonneg__pos,axiom,
% 190.45/190.62 ! [V_y,V_x,T_a] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__nonneg__neg,axiom,
% 190.45/190.62 ! [V_y,V_x,T_a] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_frac__less2,axiom,
% 190.45/190.62 ! [V_z,V_w,V_y,V_x,T_a] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 190.45/190.62 => 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))) ) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_frac__less,axiom,
% 190.45/190.62 ! [V_z,V_w,V_y,V_x,T_a] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 190.45/190.62 => 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))) ) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_frac__le,axiom,
% 190.45/190.62 ! [V_z,V_w,V_y,V_x,T_a] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 190.45/190.62 => 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))) ) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__nonpos__pos,axiom,
% 190.45/190.62 ! [V_y,V_x,T_a] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__nonpos__neg,axiom,
% 190.45/190.62 ! [V_y,V_x,T_a] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_less__divide__eq,axiom,
% 190.45/190.62 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 190.45/190.62 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.45/190.62 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.62 => 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))) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__less__eq,axiom,
% 190.45/190.62 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 190.45/190.62 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.45/190.62 => ( 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))
% 190.45/190.62 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.45/190.62 => 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))) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.45/190.62 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_pos__less__divide__eq,axiom,
% 190.45/190.62 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> 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)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_pos__divide__less__eq,axiom,
% 190.45/190.62 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.45/190.62 => ( 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))
% 190.45/190.62 <=> 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mult__imp__div__pos__less,axiom,
% 190.45/190.62 ! [V_z,V_x,V_y,T_a] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 => 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)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mult__imp__less__div__pos,axiom,
% 190.45/190.62 ! [V_x,V_z,V_y,T_a] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 190.45/190.62 => ( 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))
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_neg__less__divide__eq,axiom,
% 190.45/190.62 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_neg__divide__less__eq,axiom,
% 190.45/190.62 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.62 => ( 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))
% 190.45/190.62 <=> 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)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__strict__left__mono,axiom,
% 190.45/190.62 ! [V_c,V_a,V_b,T_a] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 => 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))) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__strict__left__mono__neg,axiom,
% 190.45/190.62 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 => 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))) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_add__num__frac,axiom,
% 190.45/190.62 ! [V_x,V_z,V_y,T_a] :
% 190.45/190.62 ( class_Fields_Ofield__inverse__zero(T_a)
% 190.45/190.62 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => 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) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_add__divide__eq__iff,axiom,
% 190.45/190.62 ! [V_y,V_x,V_z,T_a] :
% 190.45/190.62 ( class_Fields_Ofield(T_a)
% 190.45/190.62 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => 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) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_add__frac__num,axiom,
% 190.45/190.62 ! [V_z,V_x,V_y,T_a] :
% 190.45/190.62 ( class_Fields_Ofield__inverse__zero(T_a)
% 190.45/190.62 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => 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) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__add__eq__iff,axiom,
% 190.45/190.62 ! [V_y,V_x,V_z,T_a] :
% 190.45/190.62 ( class_Fields_Ofield(T_a)
% 190.45/190.62 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => 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) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_add__frac__eq,axiom,
% 190.45/190.62 ! [V_w,V_x,V_z,V_y,T_a] :
% 190.45/190.62 ( class_Fields_Ofield(T_a)
% 190.45/190.62 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => 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)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_diff__divide__eq__iff,axiom,
% 190.45/190.62 ! [V_y,V_x,V_z,T_a] :
% 190.45/190.62 ( class_Fields_Ofield(T_a)
% 190.45/190.62 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => 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) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__diff__eq__iff,axiom,
% 190.45/190.62 ! [V_y,V_x,V_z,T_a] :
% 190.45/190.62 ( class_Fields_Ofield(T_a)
% 190.45/190.62 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => 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) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_diff__frac__eq,axiom,
% 190.45/190.62 ! [V_w,V_x,V_z,V_y,T_a] :
% 190.45/190.62 ( class_Fields_Ofield(T_a)
% 190.45/190.62 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.62 => 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)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_less__half__sum,axiom,
% 190.45/190.62 ! [V_b,V_a,T_a] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.45/190.62 => 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))))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_gt__half__sum,axiom,
% 190.45/190.62 ! [V_b,V_a,T_a] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_negDivAlg_Osimps,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( ( ( 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)))
% 190.45/190.62 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( ~ ( 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)))
% 190.45/190.62 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 190.45/190.62 => 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))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_negDivAlg__eqn,axiom,
% 190.45/190.62 ! [V_a,V_b] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 190.45/190.62 => ( ( 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)))
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( ~ 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)))
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_negDivAlg__eqn__number__of,axiom,
% 190.45/190.62 ! [V_w,V_v] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( ( 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))))
% 190.45/190.62 => 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))) )
% 190.45/190.62 & ( ~ 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))))
% 190.45/190.62 => 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)))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__left__mono__neg,axiom,
% 190.45/190.62 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.62 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 => 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))) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__left__mono,axiom,
% 190.45/190.62 ! [V_c,V_a,V_b,T_a] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 => 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))) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_neg__divide__le__eq,axiom,
% 190.45/190.62 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.62 => ( 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))
% 190.45/190.62 <=> 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)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_neg__le__divide__eq,axiom,
% 190.45/190.62 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mult__imp__le__div__pos,axiom,
% 190.45/190.62 ! [V_x,V_z,V_y,T_a] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 190.45/190.62 => ( 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))
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mult__imp__div__pos__le,axiom,
% 190.45/190.62 ! [V_z,V_x,V_y,T_a] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 => 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)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_pos__divide__le__eq,axiom,
% 190.45/190.62 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.45/190.62 => ( 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))
% 190.45/190.62 <=> 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_pos__le__divide__eq,axiom,
% 190.45/190.62 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 190.45/190.62 ( class_Fields_Olinordered__field(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> 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)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divide__le__eq,axiom,
% 190.45/190.62 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 190.45/190.62 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.45/190.62 => ( 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))
% 190.45/190.62 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.45/190.62 => 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))) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.45/190.62 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.45/190.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_in__rel__def,axiom,
% 190.45/190.62 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2))
% 190.45/190.62 <=> 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__mod__code__numeral__def,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Nitpick_Orefl_H__def,axiom,
% 190.45/190.62 ! [V_r_2,T_b] :
% 190.45/190.62 ( c_Nitpick_Orefl_H(T_b,V_r_2)
% 190.45/190.62 <=> ! [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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 190.45/190.62 ! [V_w] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( ( 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)))
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( ~ 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)))
% 190.45/190.62 => 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)))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_posDivAlg_Osimps,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 190.45/190.62 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 190.45/190.62 => 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) )
% 190.45/190.62 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 190.45/190.62 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 190.45/190.62 => 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))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_posDivAlg__0,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_posDivAlg__correct,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 190.45/190.62 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_posDivAlg__div__mod,axiom,
% 190.45/190.62 ! [V_l,V_k] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_posDivAlg__eqn__number__of,axiom,
% 190.45/190.62 ! [V_w,V_v] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( ( 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)))
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( ~ 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)))
% 190.45/190.62 => 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)))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_posDivAlg__eqn,axiom,
% 190.45/190.62 ! [V_a,V_b] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 190.45/190.62 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 190.45/190.62 => 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) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__int__def,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 190.45/190.62 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 190.45/190.62 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 190.45/190.62 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 => 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))) ) ) ) ) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 190.45/190.62 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 190.45/190.62 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 190.45/190.62 => 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))) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__nat__step,axiom,
% 190.45/190.62 ! [V_m,V_n] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_negDivAlg_Opsimps,axiom,
% 190.45/190.62 ! [V_b_2,V_a_2] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( ( ( 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)))
% 190.45/190.62 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( ~ ( 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)))
% 190.45/190.62 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 190.45/190.62 ! [V_f_2,V_A_2,T_b] :
% 190.45/190.62 ( ! [B_x] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.62 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_posDivAlg_Opsimps,axiom,
% 190.45/190.62 ! [V_b_2,V_a_2] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 190.45/190.62 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 190.45/190.62 => 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) )
% 190.45/190.62 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 190.45/190.62 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__nat__zero,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__nat__base,axiom,
% 190.45/190.62 ! [V_n,V_m] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_negateSnd__eq,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__nat__div__mod,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__int__rel__neg,axiom,
% 190.45/190.62 ! [V_qr,V_b,V_a] :
% 190.45/190.62 ( 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))
% 190.45/190.62 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__nat__if,axiom,
% 190.45/190.62 ! [V_m_2,V_na_2] :
% 190.45/190.62 ( ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.62 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) )
% 190.45/190.62 => 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) )
% 190.45/190.62 & ( ~ ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.62 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) )
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_norm__frac_Opsimps,axiom,
% 190.45/190.62 ! [V_b_2,V_a_2] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 190.45/190.62 => 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)) )
% 190.45/190.62 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.62 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 190.45/190.62 => 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))) ) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_negDivAlg_Opinduct,axiom,
% 190.45/190.62 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( ! [B_a,B_b] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( ( ~ ( 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)))
% 190.45/190.62 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 190.45/190.62 => 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))) )
% 190.45/190.62 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 190.45/190.62 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_posDivAlg_Opinduct,axiom,
% 190.45/190.62 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( ! [B_a,B_b] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 190.45/190.62 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 190.45/190.62 => 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))) )
% 190.45/190.62 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 190.45/190.62 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_accp__subset,axiom,
% 190.45/190.62 ! [V_R2_2,V_R1_2,T_b] :
% 190.45/190.62 ( 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))
% 190.45/190.62 => 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))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 190.45/190.62 ! [V_a,V_r,V_q,V_c,V_b] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 190.45/190.62 => 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)))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__nat__rel__unique,axiom,
% 190.45/190.62 ! [V_qr_H,V_qr,V_n,V_m] :
% 190.45/190.62 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 190.45/190.62 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 190.45/190.62 => V_qr = V_qr_H ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__nat__eq,axiom,
% 190.45/190.62 ! [V_qr,V_n,V_m] :
% 190.45/190.62 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 190.45/190.62 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 190.45/190.62 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__nat__def,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__eq,axiom,
% 190.45/190.62 ! [V_r,V_q,V_n,V_m] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__eq,axiom,
% 190.45/190.62 ! [V_r,V_q,V_n,V_m] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_accp_Osimps,axiom,
% 190.45/190.62 ! [V_a_2,V_r_2,T_b] :
% 190.45/190.62 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 190.45/190.62 <=> ! [B_x] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 190.45/190.62 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_accp_Oequations,axiom,
% 190.45/190.62 ! [V_a_2,V_r_2,T_b] :
% 190.45/190.62 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 190.45/190.62 <=> ! [B_x] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 190.45/190.62 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_accp__downward,axiom,
% 190.45/190.62 ! [V_a_2,V_b_2,V_r_2,T_b] :
% 190.45/190.62 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 190.45/190.62 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__nat__rel,axiom,
% 190.45/190.62 ! [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)))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 190.45/190.62 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 190.45/190.62 => 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)))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 190.45/190.62 ! [V_c,V_r,V_q,V_b,V_a] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 190.45/190.62 => 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)))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_nat_Osize_I2_J,axiom,
% 190.45/190.62 ! [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))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__pos__neg__1__number__of,axiom,
% 190.45/190.62 ! [V_w] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => 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))))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_in__measure,axiom,
% 190.45/190.62 ! [V_f_2,V_y_2,V_x_2,T_b] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 <=> 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))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_norm__frac_Opinduct,axiom,
% 190.45/190.62 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( ! [B_a,B_b] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => 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))) )
% 190.45/190.62 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 190.45/190.62 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__pos__neg__1__number__of,axiom,
% 190.45/190.62 ! [V_w] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => 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))))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_split__def,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_split__comp__eq,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_prod__case__beta,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_split__beta,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Pair__fst__snd__eq,axiom,
% 190.45/190.62 ! [T_c,T_b,V_t_2,V_s_2] :
% 190.45/190.62 ( V_s_2 = V_t_2
% 190.45/190.62 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2)
% 190.45/190.62 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_prod__eqI,axiom,
% 190.45/190.62 ! [V_q,V_p,T_b,T_a] :
% 190.45/190.62 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 190.45/190.62 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 190.45/190.62 => V_p = V_q ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_pair__collapse,axiom,
% 190.45/190.62 ! [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 ).
% 190.45/190.62
% 190.45/190.62 fof(fact_surjective__pairing,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_fst__conv,axiom,
% 190.45/190.62 ! [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 ).
% 190.45/190.62
% 190.45/190.62 fof(fact_fst__eqD,axiom,
% 190.45/190.62 ! [V_a,V_y,V_x,T_b,T_a] :
% 190.45/190.62 ( 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
% 190.45/190.62 => V_x = V_a ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_snd__conv,axiom,
% 190.45/190.62 ! [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 ).
% 190.45/190.62
% 190.45/190.62 fof(fact_snd__eqD,axiom,
% 190.45/190.62 ! [V_a,V_y,V_x,T_a,T_b] :
% 190.45/190.62 ( 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
% 190.45/190.62 => V_y = V_a ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_The__split,axiom,
% 190.45/190.62 ! [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))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_fst__def,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_snd__def,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__int__def,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__int__def,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_nat_Osize_I1_J,axiom,
% 190.45/190.62 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__neg__pos,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__neg__pos,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__pos__pos,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__pos__pos,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 190.45/190.62 => 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)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__pos__pos__1__number__of,axiom,
% 190.45/190.62 ! [V_w] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => 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))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__pos__pos__1__number__of,axiom,
% 190.45/190.62 ! [V_w] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => 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))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__pos__neg,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => 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)))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__pos__neg,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => 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)))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__neg__neg,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => 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)))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__neg__neg,axiom,
% 190.45/190.62 ! [V_b,V_a] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.62 => 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)))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_prod__size__simp,axiom,
% 190.45/190.62 ! [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))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_exI__realizer,axiom,
% 190.45/190.62 ! [T_b,T_c,V_x_2,V_y_2,V_Pa_2] :
% 190.45/190.62 ( hBOOL(hAPP(hAPP(V_Pa_2,V_y_2),V_x_2))
% 190.45/190.62 => 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)))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_conjI__realizer,axiom,
% 190.45/190.62 ! [T_c,T_b,V_q_2,V_Q_2,V_p_2,V_Pa_2] :
% 190.45/190.62 ( hBOOL(hAPP(V_Pa_2,V_p_2))
% 190.45/190.62 => ( hBOOL(hAPP(V_Q_2,V_q_2))
% 190.45/190.62 => ( 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))))
% 190.45/190.62 & 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)))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mlex__leq,axiom,
% 190.45/190.62 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => ( 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))
% 190.45/190.62 => 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))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mlex__less,axiom,
% 190.45/190.62 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 => 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))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_div__nat__def,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_mod__nat__def,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_divmod__nat__rel__def,axiom,
% 190.45/190.62 ! [V_qr_2,V_na_2,V_m_2] :
% 190.45/190.62 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_na_2),V_qr_2))
% 190.45/190.62 <=> ( 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))
% 190.45/190.62 & ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.62 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 190.45/190.62 & ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.62 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 & 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)) ) )
% 190.45/190.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 & 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))) ) ) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_nat_Osize_I4_J,axiom,
% 190.45/190.62 ! [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))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_prod_Orecs,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_in__lex__prod,axiom,
% 190.45/190.62 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 <=> ( 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))
% 190.45/190.62 | ( V_a_2 = V_a_H_2
% 190.45/190.62 & 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)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_in__finite__psubset,axiom,
% 190.45/190.62 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.62 ( 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)))
% 190.45/190.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.62 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_max__number__of__Suc,axiom,
% 190.45/190.62 ! [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)))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_nat__size,axiom,
% 190.45/190.62 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 190.45/190.62 ! [V_x,V_z,V_y,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 190.45/190.62 ! [V_x,V_z,V_y,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 190.45/190.62 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 190.45/190.62 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 190.45/190.62 ! [V_y,V_x,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => 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 ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Osup__inf__absorb,axiom,
% 190.45/190.62 ! [V_y,V_x,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => 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 ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_max__diff__distrib__left,axiom,
% 190.45/190.62 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.62 ( class_Groups_Oordered__ab__group__add(T_a)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_max__0R,axiom,
% 190.45/190.62 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 190.45/190.62
% 190.45/190.62 fof(fact_max__0L,axiom,
% 190.45/190.62 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 190.45/190.62
% 190.45/190.62 fof(fact_max__Suc__Suc,axiom,
% 190.45/190.62 ! [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)) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Osup_Oidem,axiom,
% 190.45/190.62 ! [V_a,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Osup_Ocommute,axiom,
% 190.45/190.62 ! [V_b,V_a,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Osup__commute,axiom,
% 190.45/190.62 ! [V_y,V_x,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 190.45/190.62 ! [V_b,V_a,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Osup__left__idem,axiom,
% 190.45/190.62 ! [V_y,V_x,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 190.45/190.62 ! [V_c,V_a,V_b,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Osup__left__commute,axiom,
% 190.45/190.62 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Osup_Oassoc,axiom,
% 190.45/190.62 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Osup__assoc,axiom,
% 190.45/190.62 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Max_Oidem,axiom,
% 190.45/190.62 ! [V_x,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_max__add__distrib__left,axiom,
% 190.45/190.62 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.62 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_max__less__iff__conj,axiom,
% 190.45/190.62 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( 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))
% 190.45/190.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 190.45/190.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_less__max__iff__disj,axiom,
% 190.45/190.62 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 190.45/190.62 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Oless__supI1,axiom,
% 190.45/190.62 ! [V_b,V_a,V_x,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 190.45/190.62 => 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))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Oless__supI2,axiom,
% 190.45/190.62 ! [V_a,V_b,V_x,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 190.45/190.62 => 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))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_le__max__iff__disj,axiom,
% 190.45/190.62 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( 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)))
% 190.45/190.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2))
% 190.45/190.62 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Ole__supE,axiom,
% 190.45/190.62 ! [V_x,V_b,V_a,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => ( 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))
% 190.45/190.62 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 190.45/190.62 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Osup__mono,axiom,
% 190.45/190.62 ! [V_d,V_b,V_c,V_a,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Osup__least,axiom,
% 190.45/190.62 ! [V_z,V_x,V_y,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 190.45/190.62 => 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)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Ole__supI,axiom,
% 190.45/190.62 ! [V_b,V_x,V_a,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 190.45/190.62 => 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)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Osup__absorb1,axiom,
% 190.45/190.62 ! [V_x,V_y,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 190.45/190.62 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Osup__absorb2,axiom,
% 190.45/190.62 ! [V_y,V_x,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.45/190.62 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Ole__supI2,axiom,
% 190.45/190.62 ! [V_a,V_b,V_x,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 190.45/190.62 => 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))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Ole__supI1,axiom,
% 190.45/190.62 ! [V_b,V_a,V_x,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 190.45/190.62 => 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))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Ole__sup__iff,axiom,
% 190.45/190.62 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( 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))
% 190.45/190.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 190.45/190.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Ole__iff__sup,axiom,
% 190.45/190.62 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.45/190.62 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_le__maxI2,axiom,
% 190.45/190.62 ! [V_x,V_y,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => 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))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_le__maxI1,axiom,
% 190.45/190.62 ! [V_y,V_x,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => 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))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 190.45/190.62 ! [T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_max__number__of,axiom,
% 190.45/190.62 ! [V_v,V_u,T_b] :
% 190.45/190.62 ( ( class_Int_Onumber(T_b)
% 190.45/190.62 & class_Orderings_Oord(T_b) )
% 190.45/190.62 => ( ( 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)))
% 190.45/190.62 => 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) )
% 190.45/190.62 & ( ~ 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)))
% 190.45/190.62 => 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) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Odistrib__sup__le,axiom,
% 190.45/190.62 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => 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)))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Odistrib__inf__le,axiom,
% 190.45/190.62 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_a)
% 190.45/190.62 => 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)))) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_minus__max__eq__min,axiom,
% 190.45/190.62 ! [V_y,V_x,T_a] :
% 190.45/190.62 ( class_Groups_Olinordered__ab__group__add(T_a)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_minus__min__eq__max,axiom,
% 190.45/190.62 ! [V_y,V_x,T_a] :
% 190.45/190.62 ( class_Groups_Olinordered__ab__group__add(T_a)
% 190.45/190.62 => 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)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_nat__minus__add__max,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_max__Suc2,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_max__Suc1,axiom,
% 190.45/190.62 ! [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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_nat_Osize_I3_J,axiom,
% 190.45/190.62 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) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_max__ord__max,axiom,
% 190.45/190.62 ! [T_b] :
% 190.45/190.62 ( class_Orderings_Oord(T_b)
% 190.45/190.62 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_dual__min,axiom,
% 190.45/190.62 ! [T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => 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) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 190.45/190.62 ! [V_a_2,V_A_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.62 => 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 ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_max__Suc__number__of,axiom,
% 190.45/190.62 ! [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)))) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_same__fstI,axiom,
% 190.45/190.62 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_Pa_2] :
% 190.45/190.62 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.62 => ( 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)))
% 190.45/190.62 => 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))) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_Max_Oremove,axiom,
% 190.45/190.62 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.62 => ( ( hAPP(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))
% 190.45/190.62 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 )
% 190.45/190.62 & ( hAPP(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))
% 190.45/190.62 => 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)))))) ) ) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_OInf__le__Sup,axiom,
% 190.45/190.62 ! [V_A_2,T_b] :
% 190.45/190.62 ( class_Orderings_Olinorder(T_b)
% 190.45/190.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.62 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.62 => 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))) ) ) ) ).
% 190.45/190.62
% 190.45/190.62 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 190.45/190.62 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.63 => ( ( hAPP(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))
% 190.45/190.63 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 )
% 190.45/190.63 & ( hAPP(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))
% 190.45/190.63 => 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)))))) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_pair__lessI2,axiom,
% 190.45/190.63 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2))
% 190.45/190.63 => 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)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Max_Osingleton,axiom,
% 190.45/190.63 ! [V_x_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => 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 ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 190.45/190.63 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.63 => 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) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Max__ge,axiom,
% 190.45/190.63 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.63 => 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))) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 190.45/190.63 ! [V_x_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => 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 ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Max__in,axiom,
% 190.45/190.63 ! [V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Max_Oin__idem,axiom,
% 190.45/190.63 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.63 => 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) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 190.45/190.63 ! [V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Max_OF__eq,axiom,
% 190.45/190.63 ! [V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 190.45/190.63 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.45/190.63 => 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) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 190.45/190.63 ! [V_a_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.63 => 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 ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_pair__lessI1,axiom,
% 190.45/190.63 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Max__mono,axiom,
% 190.45/190.63 ! [V_N_2,V_M_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 190.45/190.63 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 190.45/190.63 => 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))) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Max__insert,axiom,
% 190.45/190.63 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Max_Osubset__idem,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.45/190.63 => 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) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 190.45/190.63 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 190.45/190.63 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( ( hAPP(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))
% 190.45/190.63 => 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 )
% 190.45/190.63 & ( hAPP(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))
% 190.45/190.63 => 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)))))) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Max_Oinsert,axiom,
% 190.45/190.63 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Max_Oinsert__remove,axiom,
% 190.45/190.63 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( ( hAPP(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))
% 190.45/190.63 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 190.45/190.63 & ( hAPP(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))
% 190.45/190.63 => 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)))))) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_minus__Min__eq__Max,axiom,
% 190.45/190.63 ! [V_S_2,T_b] :
% 190.45/190.63 ( class_Groups_Olinordered__ab__group__add(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 190.45/190.63 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_minus__Max__eq__Min,axiom,
% 190.45/190.63 ! [V_S_2,T_b] :
% 190.45/190.63 ( class_Groups_Olinordered__ab__group__add(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 190.45/190.63 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_pair__leqI2,axiom,
% 190.45/190.63 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2))
% 190.45/190.63 => 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)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_smin__insertI,axiom,
% 190.45/190.63 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_smax__insertI,axiom,
% 190.45/190.63 ! [V_X_2,V_x_2,V_Y_2,V_y_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_pair__leqI1,axiom,
% 190.45/190.63 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 190.45/190.63 ! [V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( ! [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))))))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_smin__emptyI,axiom,
% 190.45/190.63 ! [V_X_2] :
% 190.45/190.63 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_smax__emptyI,axiom,
% 190.45/190.63 ! [V_Y_2] :
% 190.45/190.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2))
% 190.45/190.63 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_wmax__insertI,axiom,
% 190.45/190.63 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_wmin__insertI,axiom,
% 190.45/190.63 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Max_Oclosed,axiom,
% 190.45/190.63 ! [V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( ! [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))))))
% 190.45/190.63 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_wmax__emptyI,axiom,
% 190.45/190.63 ! [V_X_2] :
% 190.45/190.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_wmin__emptyI,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_min__rpair__set,axiom,
% 190.45/190.63 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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_max__rpair__set,axiom,
% 190.45/190.63 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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_min__strict__def,axiom,
% 190.45/190.63 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_less__than__iff,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2] :
% 190.45/190.63 ( 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))
% 190.45/190.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_intrel__iff,axiom,
% 190.45/190.63 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 190.45/190.63 ( 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))
% 190.45/190.63 <=> 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_pair__less__def,axiom,
% 190.45/190.63 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_mlex__prod__def,axiom,
% 190.45/190.63 ! [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))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_min__weak__def,axiom,
% 190.45/190.63 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)))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_rp__inv__image__rp,axiom,
% 190.45/190.63 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 190.45/190.63 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 190.45/190.63 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_Pa_2),V_f_2)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 190.45/190.63 ! [V_N_2,V_h_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( ! [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))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 190.45/190.63 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 190.45/190.63 ! [V_N_2,V_h_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( ! [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))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 190.45/190.63 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup1CI,axiom,
% 190.45/190.63 ! [T_b,V_A_2,V_x_2,V_B_2] :
% 190.45/190.63 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 190.45/190.63 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup1E,axiom,
% 190.45/190.63 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( 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))
% 190.45/190.63 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 190.45/190.63 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_UnCI,axiom,
% 190.45/190.63 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 190.45/190.63 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 190.45/190.63 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) )
% 190.45/190.63 => 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_UnE,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.45/190.63 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_UnI2,axiom,
% 190.45/190.63 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 190.45/190.63 => 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_UnI1,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.45/190.63 => 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__iff,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.45/190.63 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__insert__left,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__insert__right,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_le__supE,axiom,
% 190.45/190.63 ! [V_x,V_b,V_a,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__sup(T_a)
% 190.45/190.63 => ( 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))
% 190.45/190.63 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 190.45/190.63 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup__mono,axiom,
% 190.45/190.63 ! [V_d,V_b,V_c,V_a,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__sup(T_a)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 190.45/190.63 => 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))) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup__least,axiom,
% 190.45/190.63 ! [V_z,V_x,V_y,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__sup(T_a)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_le__supI,axiom,
% 190.45/190.63 ! [V_b,V_x,V_a,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__sup(T_a)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup__absorb1,axiom,
% 190.45/190.63 ! [V_x,V_y,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__sup(T_a)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 190.45/190.63 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup__absorb2,axiom,
% 190.45/190.63 ! [V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__sup(T_a)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.45/190.63 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_le__supI2,axiom,
% 190.45/190.63 ! [V_a,V_b,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__sup(T_a)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 190.45/190.63 => 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))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_le__supI1,axiom,
% 190.45/190.63 ! [V_b,V_a,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__sup(T_a)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 190.45/190.63 => 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))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_le__sup__iff,axiom,
% 190.45/190.63 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 190.45/190.63 ( class_Lattices_Osemilattice__sup(T_b)
% 190.45/190.63 => ( 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))
% 190.45/190.63 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 190.45/190.63 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_le__iff__sup,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.63 ( class_Lattices_Osemilattice__sup(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.45/190.63 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup__ge2,axiom,
% 190.45/190.63 ! [V_x,V_y,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__sup(T_a)
% 190.45/190.63 => 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__sup__ord_I4_J,axiom,
% 190.45/190.63 ! [V_x,V_y,T_a] :
% 190.45/190.63 ( class_Lattices_Olattice(T_a)
% 190.45/190.63 => 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup__ge1,axiom,
% 190.45/190.63 ! [V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__sup(T_a)
% 190.45/190.63 => 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__sup__ord_I3_J,axiom,
% 190.45/190.63 ! [V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Olattice(T_a)
% 190.45/190.63 => 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_less__supI2,axiom,
% 190.45/190.63 ! [V_a,V_b,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__sup(T_a)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 190.45/190.63 => 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))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_less__supI1,axiom,
% 190.45/190.63 ! [V_b,V_a,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__sup(T_a)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 190.45/190.63 => 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))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Sup__fin_Oidem,axiom,
% 190.45/190.63 ! [V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Olattice(T_a)
% 190.45/190.63 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup__apply,axiom,
% 190.45/190.63 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup__assoc,axiom,
% 190.45/190.63 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__sup(T_a)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__sup__aci_I6_J,axiom,
% 190.45/190.63 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Olattice(T_a)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup_Oassoc,axiom,
% 190.45/190.63 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__sup(T_a)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup__left__commute,axiom,
% 190.45/190.63 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__sup(T_a)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__sup__aci_I7_J,axiom,
% 190.45/190.63 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Olattice(T_a)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup_Oleft__commute,axiom,
% 190.45/190.63 ! [V_c,V_a,V_b,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__sup(T_a)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup__left__idem,axiom,
% 190.45/190.63 ! [V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__sup(T_a)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__sup__aci_I8_J,axiom,
% 190.45/190.63 ! [V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Olattice(T_a)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup_Oleft__idem,axiom,
% 190.45/190.63 ! [V_b,V_a,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__sup(T_a)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup__commute,axiom,
% 190.45/190.63 ! [V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__sup(T_a)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__sup__aci_I5_J,axiom,
% 190.45/190.63 ! [V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Olattice(T_a)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup_Ocommute,axiom,
% 190.45/190.63 ! [V_b,V_a,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__sup(T_a)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup__idem,axiom,
% 190.45/190.63 ! [V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__sup(T_a)
% 190.45/190.63 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup_Oidem,axiom,
% 190.45/190.63 ! [V_a,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__sup(T_a)
% 190.45/190.63 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ball__Un,axiom,
% 190.45/190.63 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( ! [B_x] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.45/190.63 <=> ( ! [B_x] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.63 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.45/190.63 & ! [B_x] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 190.45/190.63 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_bex__Un,axiom,
% 190.45/190.63 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( ? [B_x] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.45/190.63 <=> ( ? [B_x] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.63 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.45/190.63 | ? [B_x] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 190.45/190.63 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__assoc,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__left__commute,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__left__absorb,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__commute,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__absorb,axiom,
% 190.45/190.63 ! [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 ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup1I2,axiom,
% 190.45/190.63 ! [V_A_2,T_b,V_x_2,V_B_2] :
% 190.45/190.63 ( hBOOL(hAPP(V_B_2,V_x_2))
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup1I1,axiom,
% 190.45/190.63 ! [V_B_2,T_b,V_x_2,V_A_2] :
% 190.45/190.63 ( hBOOL(hAPP(V_A_2,V_x_2))
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_image__Un,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__upper1,axiom,
% 190.45/190.63 ! [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))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__upper2,axiom,
% 190.45/190.63 ! [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))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_subset__Un__eq,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.63 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__absorb1,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.63 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__absorb2,axiom,
% 190.45/190.63 ! [V_A_2,V_B_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.45/190.63 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__least,axiom,
% 190.45/190.63 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 190.45/190.63 => 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)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__mono,axiom,
% 190.45/190.63 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 190.45/190.63 => 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))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup__fun__def,axiom,
% 190.45/190.63 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__Diff,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__Diff__cancel2,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__Diff__cancel,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup__max,axiom,
% 190.45/190.63 ! [T_b] :
% 190.45/190.63 ( ( class_Lattices_Osemilattice__sup(T_b)
% 190.45/190.63 & class_Orderings_Olinorder(T_b) )
% 190.45/190.63 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__empty,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( 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))
% 190.45/190.63 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__empty__right,axiom,
% 190.45/190.63 ! [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 ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__empty__left,axiom,
% 190.45/190.63 ! [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 ).
% 190.45/190.63
% 190.45/190.63 fof(fact_finite__UnI,axiom,
% 190.45/190.63 ! [V_G_2,V_F_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2))
% 190.45/190.63 => 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))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_finite__Un,axiom,
% 190.45/190.63 ! [V_G_2,V_F_2,T_b] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 190.45/190.63 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup__eq__bot__iff,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.63 ( class_Lattices_Obounded__lattice__bot(T_b)
% 190.45/190.63 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b)
% 190.45/190.63 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b)
% 190.45/190.63 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup__bot__right,axiom,
% 190.45/190.63 ! [V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Obounded__lattice__bot(T_a)
% 190.45/190.63 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup__bot__left,axiom,
% 190.45/190.63 ! [V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Obounded__lattice__bot(T_a)
% 190.45/190.63 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_fun__left__comm__idem__sup,axiom,
% 190.45/190.63 ! [T_b] :
% 190.45/190.63 ( class_Lattices_Osemilattice__sup(T_b)
% 190.45/190.63 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup__Un__eq,axiom,
% 190.45/190.63 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 190.45/190.63 ( 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))
% 190.45/190.63 <=> 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_insert__is__Un,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Diff__subset__conv,axiom,
% 190.45/190.63 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( 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))
% 190.45/190.63 <=> 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Diff__partition,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.63 => 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 ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Compl__Diff__eq,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_rp__inv__image__def,axiom,
% 190.45/190.63 ! [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))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.63 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 190.45/190.63 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_fold1__Un2,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Min__Un,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Max__Un,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_image__eq__fold__image,axiom,
% 190.45/190.63 ! [V_f_2,T_c,V_A_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_max__weak__def,axiom,
% 190.45/190.63 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)))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_in__inv__image,axiom,
% 190.45/190.63 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 <=> 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__un_I4_J,axiom,
% 190.45/190.63 ! [V_u_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Sup__fin_Oremove,axiom,
% 190.45/190.63 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.63 => ( ( hAPP(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))
% 190.45/190.63 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 )
% 190.45/190.63 & ( hAPP(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))
% 190.45/190.63 => 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)))))) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Max_Ohom__commute,axiom,
% 190.45/190.63 ! [V_N_2,V_h_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( ! [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))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 190.45/190.63 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_finite__greaterThanAtMost,axiom,
% 190.45/190.63 ! [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))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_finite__greaterThanAtMost__int,axiom,
% 190.45/190.63 ! [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))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup__nat__def,axiom,
% 190.45/190.63 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2] :
% 190.45/190.63 ( c_Nat__Transfer_Onat__set(V_A_2)
% 190.45/190.63 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 190.45/190.63 => 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)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 190.45/190.63 ! [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))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Sup__fin_Osingleton,axiom,
% 190.45/190.63 ! [V_x_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => 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 ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2] :
% 190.45/190.63 ( c_Nat__Transfer_Onat__set(V_A_2)
% 190.45/190.63 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 190.45/190.63 => 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))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_greaterThanAtMost__empty,axiom,
% 190.45/190.63 ! [V_k_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 190.45/190.63 => 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)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 190.45/190.63 ! [V_l_2,V_k_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => ( 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)
% 190.45/190.63 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 190.45/190.63 ! [V_l_2,V_k_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => ( 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))
% 190.45/190.63 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__un_I20_J,axiom,
% 190.45/190.63 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 190.45/190.63 => 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) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_card__greaterThanAtMost,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup__Un__eq2,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 190.45/190.63 ( 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))
% 190.45/190.63 <=> 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Sup__fin_Oin__idem,axiom,
% 190.45/190.63 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.63 => 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) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Sup__fin_OF__eq,axiom,
% 190.45/190.63 ! [V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 190.45/190.63 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Sup__fin_Osubset__idem,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.45/190.63 => 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) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_card__greaterThanAtMost__int,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Sup__fin_Ounion__idem,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_max__strict__def,axiom,
% 190.45/190.63 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__un_I16_J,axiom,
% 190.45/190.63 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 190.45/190.63 => 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) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_measure__def,axiom,
% 190.45/190.63 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Sup__fin_Oinsert,axiom,
% 190.45/190.63 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 190.45/190.63 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( ( hAPP(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))
% 190.45/190.63 => 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 )
% 190.45/190.63 & ( hAPP(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))
% 190.45/190.63 => 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)))))) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_max__ext__additive,axiom,
% 190.45/190.63 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => ( 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)))
% 190.45/190.63 => 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))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_max__extp__max__ext__eq,axiom,
% 190.45/190.63 ! [V_xa_2,V_x_2,V_R_2,T_b] :
% 190.45/190.63 ( 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)
% 190.45/190.63 <=> 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_irrefl__def,axiom,
% 190.45/190.63 ! [V_r_2,T_b] :
% 190.45/190.63 ( c_Relation_Oirrefl(T_b,V_r_2)
% 190.45/190.63 <=> ! [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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Field__insert,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Sup__fin_Oclosed,axiom,
% 190.45/190.63 ! [V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( ! [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))))))
% 190.45/190.63 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Min_Ohom__commute,axiom,
% 190.45/190.63 ! [V_N_2,V_h_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( ! [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))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 190.45/190.63 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup2CI,axiom,
% 190.45/190.63 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] :
% 190.45/190.63 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 190.45/190.63 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup2E,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 190.45/190.63 ( 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))
% 190.45/190.63 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 190.45/190.63 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup2I2,axiom,
% 190.45/190.63 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup2I1,axiom,
% 190.45/190.63 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Field__empty,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_mono__Field,axiom,
% 190.45/190.63 ! [V_s_2,V_r_2,T_b] :
% 190.45/190.63 ( 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))
% 190.45/190.63 => 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Field__Un,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_finite__Field,axiom,
% 190.45/190.63 ! [V_r_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 190.45/190.63 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Sup__fin_Ohom__commute,axiom,
% 190.45/190.63 ! [V_N_2,V_h_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( ! [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))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 190.45/190.63 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_negD,axiom,
% 190.45/190.63 ! [V_x] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.63 => ? [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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setprod__mono__one__right,axiom,
% 190.45/190.63 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 190.45/190.63 => ( ! [B_x] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 190.45/190.63 => 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) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setprod__mono__one__left,axiom,
% 190.45/190.63 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 190.45/190.63 => ( ! [B_x] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 190.45/190.63 => 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) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_card__Pow,axiom,
% 190.45/190.63 ! [V_A_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_PowI,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.63 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Pow__not__empty,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Pow__top,axiom,
% 190.45/190.63 ! [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))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Pow__empty,axiom,
% 190.45/190.63 ! [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))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Pow__bottom,axiom,
% 190.45/190.63 ! [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))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_finite__Pow__iff,axiom,
% 190.45/190.63 ! [V_A_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)))
% 190.45/190.63 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Pow__insert,axiom,
% 190.45/190.63 ! [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))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Pow__mono,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.63 => 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_PowD,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 190.45/190.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Pow__iff,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 190.45/190.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_image__Pow__surj,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 190.45/190.63 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__Pow__subset,axiom,
% 190.45/190.63 ! [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)))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_image__Pow__mono,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.63 ( 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))
% 190.45/190.63 => 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Powp__Pow__eq,axiom,
% 190.45/190.63 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.63 ( 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))
% 190.45/190.63 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__un_I19_J,axiom,
% 190.45/190.63 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 190.45/190.63 => 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) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_equiv__intrel__iff,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2] :
% 190.45/190.63 ( 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))))
% 190.45/190.63 <=> 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__un_I3_J,axiom,
% 190.45/190.63 ! [V_u_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_fold__Un__disjoint,axiom,
% 190.45/190.63 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf1E,axiom,
% 190.45/190.63 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( 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))
% 190.45/190.63 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 190.45/190.63 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf1I,axiom,
% 190.45/190.63 ! [T_b,V_B_2,V_x_2,V_A_2] :
% 190.45/190.63 ( hBOOL(hAPP(V_A_2,V_x_2))
% 190.45/190.63 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 190.45/190.63 => 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)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_finite__atLeastLessThan,axiom,
% 190.45/190.63 ! [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))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_finite__atLeastAtMost,axiom,
% 190.45/190.63 ! [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))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_finite__atLeastAtMost__int,axiom,
% 190.45/190.63 ! [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))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_finite__atLeastLessThan__int,axiom,
% 190.45/190.63 ! [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))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_IntE,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.45/190.63 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_IntI,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 190.45/190.63 => 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))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_finite__Int,axiom,
% 190.45/190.63 ! [V_G_2,V_F_2,T_b] :
% 190.45/190.63 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 190.45/190.63 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) )
% 190.45/190.63 => 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Pow__Int__eq,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Image__empty,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Image__Int__subset,axiom,
% 190.45/190.63 ! [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)))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_IntD2,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_IntD1,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__iff,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.45/190.63 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_image__Suc__atLeastAtMost,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_le__infE,axiom,
% 190.45/190.63 ! [V_b,V_a,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_a)
% 190.45/190.63 => ( 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)))
% 190.45/190.63 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 190.45/190.63 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__mono,axiom,
% 190.45/190.63 ! [V_d,V_b,V_c,V_a,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_a)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 190.45/190.63 => 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))) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__greatest,axiom,
% 190.45/190.63 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_a)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 190.45/190.63 => 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))) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_le__infI,axiom,
% 190.45/190.63 ! [V_b,V_a,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_a)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 190.45/190.63 => 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))) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__absorb2,axiom,
% 190.45/190.63 ! [V_x,V_y,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_a)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 190.45/190.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__absorb1,axiom,
% 190.45/190.63 ! [V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_a)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.45/190.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_le__infI2,axiom,
% 190.45/190.63 ! [V_a,V_x,V_b,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_a)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 190.45/190.63 => 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)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_le__infI1,axiom,
% 190.45/190.63 ! [V_b,V_x,V_a,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_a)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 190.45/190.63 => 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)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_le__inf__iff,axiom,
% 190.45/190.63 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_b)
% 190.45/190.63 => ( 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)))
% 190.45/190.63 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.45/190.63 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_le__iff__inf,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.45/190.63 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__le2,axiom,
% 190.45/190.63 ! [V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_a)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__sup__ord_I2_J,axiom,
% 190.45/190.63 ! [V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Olattice(T_a)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__le1,axiom,
% 190.45/190.63 ! [V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_a)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__sup__ord_I1_J,axiom,
% 190.45/190.63 ! [V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Olattice(T_a)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_less__infI2,axiom,
% 190.45/190.63 ! [V_a,V_x,V_b,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_a)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 190.45/190.63 => 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)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_less__infI1,axiom,
% 190.45/190.63 ! [V_b,V_x,V_a,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_a)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 190.45/190.63 => 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)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Inf__fin_Oidem,axiom,
% 190.45/190.63 ! [V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Olattice(T_a)
% 190.45/190.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__apply,axiom,
% 190.45/190.63 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__assoc,axiom,
% 190.45/190.63 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_a)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__sup__aci_I2_J,axiom,
% 190.45/190.63 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Olattice(T_a)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf_Oassoc,axiom,
% 190.45/190.63 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_a)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__left__commute,axiom,
% 190.45/190.63 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_a)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__sup__aci_I3_J,axiom,
% 190.45/190.63 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Olattice(T_a)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf_Oleft__commute,axiom,
% 190.45/190.63 ! [V_c,V_a,V_b,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_a)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__left__idem,axiom,
% 190.45/190.63 ! [V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_a)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__sup__aci_I4_J,axiom,
% 190.45/190.63 ! [V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Olattice(T_a)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf_Oleft__idem,axiom,
% 190.45/190.63 ! [V_b,V_a,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_a)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__commute,axiom,
% 190.45/190.63 ! [V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_a)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__sup__aci_I1_J,axiom,
% 190.45/190.63 ! [V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Olattice(T_a)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf_Ocommute,axiom,
% 190.45/190.63 ! [V_b,V_a,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_a)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__idem,axiom,
% 190.45/190.63 ! [V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_a)
% 190.45/190.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf_Oidem,axiom,
% 190.45/190.63 ! [V_a,T_a] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_a)
% 190.45/190.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__assoc,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__left__commute,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__left__absorb,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__commute,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__absorb,axiom,
% 190.45/190.63 ! [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 ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf1D2,axiom,
% 190.45/190.63 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( 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))
% 190.45/190.63 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf1D1,axiom,
% 190.45/190.63 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( 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))
% 190.45/190.63 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__min,axiom,
% 190.45/190.63 ! [T_b] :
% 190.45/190.63 ( ( class_Lattices_Osemilattice__inf(T_b)
% 190.45/190.63 & class_Orderings_Olinorder(T_b) )
% 190.45/190.63 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_image__Suc__atLeastLessThan,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__lower1,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__lower2,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__absorb2,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__absorb1,axiom,
% 190.45/190.63 ! [V_A_2,V_B_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.45/190.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__greatest,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,V_C_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2))
% 190.45/190.63 => 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))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__mono,axiom,
% 190.45/190.63 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 190.45/190.63 => 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))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__fun__def,axiom,
% 190.45/190.63 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Diff__Int2,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Diff__Int__distrib2,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__Diff,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Diff__Int__distrib,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__atLeastLessThan,axiom,
% 190.45/190.63 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__atLeastAtMost,axiom,
% 190.45/190.63 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__empty__left,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__empty__right,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_disjoint__iff__not__equal,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( 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))
% 190.45/190.63 <=> ! [B_x] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.63 => ! [B_xa] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2))
% 190.45/190.63 => B_x != B_xa ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__int_I11_J,axiom,
% 190.45/190.63 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__int_I15_J,axiom,
% 190.45/190.63 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__bot__left,axiom,
% 190.45/190.63 ! [V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Obounded__lattice__bot(T_a)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__bot__right,axiom,
% 190.45/190.63 ! [V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Obounded__lattice__bot(T_a)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__int_I9_J,axiom,
% 190.45/190.63 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__int_I13_J,axiom,
% 190.45/190.63 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__int_I12_J,axiom,
% 190.45/190.63 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_insert__inter__insert,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__int_I16_J,axiom,
% 190.45/190.63 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__Un__distrib,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__Int__distrib,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__Un__distrib2,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__Int__distrib2,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__Int__crazy,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Image__Un,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__sup__absorb,axiom,
% 190.45/190.63 ! [V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Olattice(T_a)
% 190.45/190.63 => 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 ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup__inf__absorb,axiom,
% 190.45/190.63 ! [V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Olattice(T_a)
% 190.45/190.63 => 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 ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__sup__distrib1,axiom,
% 190.45/190.63 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Odistrib__lattice(T_a)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup__inf__distrib1,axiom,
% 190.45/190.63 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Odistrib__lattice(T_a)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__sup__distrib2,axiom,
% 190.45/190.63 ! [V_x,V_z,V_y,T_a] :
% 190.45/190.63 ( class_Lattices_Odistrib__lattice(T_a)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup__inf__distrib2,axiom,
% 190.45/190.63 ! [V_x,V_z,V_y,T_a] :
% 190.45/190.63 ( class_Lattices_Odistrib__lattice(T_a)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__un_I21_J,axiom,
% 190.45/190.63 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 190.45/190.63 => 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) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2] :
% 190.45/190.63 ( c_Nat__Transfer_Onat__set(V_A_2)
% 190.45/190.63 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 190.45/190.63 => 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)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastLessThan__eq__iff,axiom,
% 190.45/190.63 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 190.45/190.63 => ( 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)
% 190.45/190.63 <=> ( V_a_2 = V_c_2
% 190.45/190.63 & V_b_2 = V_d_2 ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 190.45/190.63 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( 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)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 190.45/190.63 => V_a_2 = V_c_2 ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 190.45/190.63 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( 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)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 190.45/190.63 => V_b_2 = V_d_2 ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_fun__left__comm__idem__inf,axiom,
% 190.45/190.63 ! [T_b] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_b)
% 190.45/190.63 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_image__add__atLeastLessThan,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__Int__eq,axiom,
% 190.45/190.63 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 190.45/190.63 ( 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))
% 190.45/190.63 <=> 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_image__add__atLeastAtMost,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 190.45/190.63 ! [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))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_distrib__sup__le,axiom,
% 190.45/190.63 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Olattice(T_a)
% 190.45/190.63 => 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)))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_distrib__inf__le,axiom,
% 190.45/190.63 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Olattice(T_a)
% 190.45/190.63 => 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)))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__compl__bot,axiom,
% 190.45/190.63 ! [V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Oboolean__algebra(T_a)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_compl__inf__bot,axiom,
% 190.45/190.63 ! [V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Oboolean__algebra(T_a)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_diff__eq,axiom,
% 190.45/190.63 ! [V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Oboolean__algebra(T_a)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_compl__inf,axiom,
% 190.45/190.63 ! [V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Oboolean__algebra(T_a)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_compl__sup,axiom,
% 190.45/190.63 ! [V_y,V_x,T_a] :
% 190.45/190.63 ( class_Lattices_Oboolean__algebra(T_a)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__insert__right,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 190.45/190.63 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.63 => 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)) )
% 190.45/190.63 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__insert__left,axiom,
% 190.45/190.63 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 190.45/190.63 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 190.45/190.63 => 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)) )
% 190.45/190.63 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__insert__right__if0,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 190.45/190.63 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__insert__left__if0,axiom,
% 190.45/190.63 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 190.45/190.63 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__insert__right__if1,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__insert__left__if1,axiom,
% 190.45/190.63 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 190.45/190.63 ! [V_na_2,V_m_2] :
% 190.45/190.63 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 190.45/190.63 => ( c_Nat__Transfer_Ois__nat(V_na_2)
% 190.45/190.63 => 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))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastAtMostSuc__conv,axiom,
% 190.45/190.63 ! [V_na_2,V_m_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_image__Int__subset,axiom,
% 190.45/190.63 ! [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)))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Diff__disjoint,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Diff__triv,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( 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))
% 190.45/190.63 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__Int__assoc__eq,axiom,
% 190.45/190.63 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( 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))
% 190.45/190.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__Diff__Int,axiom,
% 190.45/190.63 ! [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 ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Diff__Un,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Diff__Int,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastLessThan0,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastLessThan__singleton,axiom,
% 190.45/190.63 ! [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))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 190.45/190.63 ! [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))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Compl__disjoint,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Compl__disjoint2,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Compl__Int,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Compl__Un,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__un_I6_J,axiom,
% 190.45/190.63 ! [V_u_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Diff__Compl,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Diff__eq,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__int_I14_J,axiom,
% 190.45/190.63 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_card__atLeastLessThan,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Image__mono,axiom,
% 190.45/190.63 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] :
% 190.45/190.63 ( 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))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 190.45/190.63 => 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))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Un__Image,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2] :
% 190.45/190.63 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 190.45/190.63 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__un_I18_J,axiom,
% 190.45/190.63 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 190.45/190.63 => 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) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastatMost__empty__iff,axiom,
% 190.45/190.63 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => ( 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))
% 190.45/190.63 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastatMost__empty__iff2,axiom,
% 190.45/190.63 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => ( 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)
% 190.45/190.63 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastatMost__empty,axiom,
% 190.45/190.63 ! [V_a_2,V_b_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2))
% 190.45/190.63 => 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)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastatMost__subset__iff,axiom,
% 190.45/190.63 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => ( 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)))
% 190.45/190.63 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 190.45/190.63 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 190.45/190.63 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastLessThan__empty,axiom,
% 190.45/190.63 ! [V_a_2,V_b_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 190.45/190.63 => 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)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastLessThan__empty__iff,axiom,
% 190.45/190.63 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => ( 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))
% 190.45/190.63 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 190.45/190.63 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => ( 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)
% 190.45/190.63 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastAtMost__singleton_H,axiom,
% 190.45/190.63 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => ( V_a_2 = V_b_2
% 190.45/190.63 => 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))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 190.45/190.63 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => ( 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)))
% 190.45/190.63 <=> ( V_a_2 = V_b_2
% 190.45/190.63 & V_b_2 = V_c_2 ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastAtMost__singleton,axiom,
% 190.45/190.63 ! [V_a_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastLessThan__subset__iff,axiom,
% 190.45/190.63 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( 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)))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 190.45/190.63 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 190.45/190.63 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__un_I17_J,axiom,
% 190.45/190.63 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 190.45/190.63 => 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) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_image__uminus__atLeastAtMost,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.63 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__diff,axiom,
% 190.45/190.63 ! [V_m_2,V_na_2,V_i_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_na_2))
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2] :
% 190.45/190.63 ( c_Nat__Transfer_Onat__set(V_A_2)
% 190.45/190.63 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 190.45/190.63 => 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))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 190.45/190.63 ! [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))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__Sup__absorb,axiom,
% 190.45/190.63 ! [V_a_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.63 => 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 ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 190.45/190.63 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_rev__ImageI,axiom,
% 190.45/190.63 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Image__iff,axiom,
% 190.45/190.63 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 190.45/190.63 <=> ? [B_x] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 190.45/190.63 & 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)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastLessThanSuc,axiom,
% 190.45/190.63 ! [V_na_2,V_m_2] :
% 190.45/190.63 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 190.45/190.63 => 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)) )
% 190.45/190.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 190.45/190.63 => 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)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_disjoint__eq__subset__Compl,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( 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))
% 190.45/190.63 <=> 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__greaterThanAtMost,axiom,
% 190.45/190.63 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__greaterThanLessThan,axiom,
% 190.45/190.63 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_card__atLeastAtMost,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Powp__mono,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.63 => 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__int_I10_J,axiom,
% 190.45/190.63 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.63 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastatMost__psubset__iff,axiom,
% 190.45/190.63 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => ( 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)))
% 190.45/190.63 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 190.45/190.63 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 190.45/190.63 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2))
% 190.45/190.63 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2))
% 190.45/190.63 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) )
% 190.45/190.63 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastLessThan__add__Un,axiom,
% 190.45/190.63 ! [V_k_2,V_j_2,V_i_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 190.45/190.63 => 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__un_I22_J,axiom,
% 190.45/190.63 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 190.45/190.63 => 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) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_subset__card__intvl__is__intvl,axiom,
% 190.45/190.63 ! [V_k_2,V_A_2] :
% 190.45/190.63 ( 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)))))
% 190.45/190.63 => 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.63 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_image__uminus__atLeastLessThan,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.63 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_fold1__belowI,axiom,
% 190.45/190.63 ! [V_a_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_image__add__int__atLeastLessThan,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_below__fold1__iff,axiom,
% 190.45/190.63 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Osemilattice__inf(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( 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)))
% 190.45/190.63 <=> ! [B_x] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_card__atLeastLessThan__int,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setprod__Un__Int,axiom,
% 190.45/190.63 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setprod_Ounion__inter,axiom,
% 190.45/190.63 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_card_Ounion__inter,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => 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)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_card__Un__Int,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => 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))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_card__Diff__subset__Int,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 190.45/190.63 ! [V_x_2,V_y_2,V_c_2] :
% 190.45/190.63 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 190.45/190.63 => 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)) )
% 190.45/190.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 190.45/190.63 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 190.45/190.63 => 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))) )
% 190.45/190.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.63 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_folding__one_Ounion__disjoint,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 190.45/190.63 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)) ) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_folding__one_Ounion__inter,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 190.45/190.63 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_simp__from__to,axiom,
% 190.45/190.63 ! [V_i_2,V_j_2] :
% 190.45/190.63 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 190.45/190.63 => 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)) )
% 190.45/190.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 190.45/190.63 => 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)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__un_I15_J,axiom,
% 190.45/190.63 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 190.45/190.63 => 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) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setprod_Ounion__disjoint,axiom,
% 190.45/190.63 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setprod__Un__disjoint,axiom,
% 190.45/190.63 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_card__Un__disjoint,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Image__singleton__iff,axiom,
% 190.45/190.63 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] :
% 190.45/190.63 ( 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))))))
% 190.45/190.63 <=> 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_fold__image__Un__Int,axiom,
% 190.45/190.63 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => 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))) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_fold1__Un,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Groups_Oab__semigroup__mult(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)) ) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Sup__fin_Ounion__inter,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)) ) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Min_Ounion__inter,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Min_Ounion__disjoint,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)) ) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Max_Ounion__inter,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Max_Ounion__disjoint,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)) ) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)) ) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)) ) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_card__atLeastAtMost__int,axiom,
% 190.45/190.63 ! [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))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__un_I5_J,axiom,
% 190.45/190.63 ! [V_u_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_of__int,axiom,
% 190.45/190.63 ! [V_j_2,V_i_2,T_b] :
% 190.45/190.63 ( class_Rings_Oring__1(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_One__int__def,axiom,
% 190.45/190.63 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))))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_mult,axiom,
% 190.45/190.63 ! [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))))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_le,axiom,
% 190.45/190.63 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 190.45/190.63 ( 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)))))))
% 190.45/190.63 <=> 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__nat__def,axiom,
% 190.45/190.63 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf__Int__eq2,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 190.45/190.63 ( 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))
% 190.45/190.63 <=> 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_minus,axiom,
% 190.45/190.63 ! [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))))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Zero__int__def,axiom,
% 190.45/190.63 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))))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_int__def,axiom,
% 190.45/190.63 ! [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))))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_add,axiom,
% 190.45/190.63 ! [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))))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_nat,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_less,axiom,
% 190.45/190.63 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 190.45/190.63 ( 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)))))))
% 190.45/190.63 <=> 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ex__nat__less,axiom,
% 190.45/190.63 ! [V_Pa_2,V_na_2] :
% 190.45/190.63 ( ? [B_m] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2))
% 190.45/190.63 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 190.45/190.63 <=> ? [B_x] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_all__nat__less,axiom,
% 190.45/190.63 ! [V_Pa_2,V_na_2] :
% 190.45/190.63 ( ! [B_m] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2))
% 190.45/190.63 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 190.45/190.63 <=> ! [B_x] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_all__nat__less__eq,axiom,
% 190.45/190.63 ! [V_Pa_2,V_na_2] :
% 190.45/190.63 ( ! [B_m] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2))
% 190.45/190.63 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 190.45/190.63 <=> ! [B_x] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ex__nat__less__eq,axiom,
% 190.45/190.63 ! [V_Pa_2,V_na_2] :
% 190.45/190.63 ( ? [B_m] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2))
% 190.45/190.63 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 190.45/190.63 <=> ? [B_x] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf2E,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 190.45/190.63 ( 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))
% 190.45/190.63 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 190.45/190.63 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf2I,axiom,
% 190.45/190.63 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 190.45/190.63 => 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)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf2D2,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 190.45/190.63 ( 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))
% 190.45/190.63 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inf2D1,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 190.45/190.63 ( 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))
% 190.45/190.63 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_bset_I8_J,axiom,
% 190.45/190.63 ! [V_B_2,V_t_2,V_D_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => ! [B_x] :
% 190.45/190.63 ( ! [B_xa] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => ! [B_xb] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 190.45/190.63 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 190.45/190.63 => 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))) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_aset_I6_J,axiom,
% 190.45/190.63 ! [V_A_2,V_t_2,V_D_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => ! [B_x] :
% 190.45/190.63 ( ! [B_xa] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => ! [B_xb] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 190.45/190.63 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_bset_I3_J,axiom,
% 190.45/190.63 ! [V_B_2,V_t_2,V_D_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => ( ! [B_x] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => ! [B_xa] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 190.45/190.63 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 190.45/190.63 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_aset_I3_J,axiom,
% 190.45/190.63 ! [V_A_2,V_t_2,V_D_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => ( ! [B_x] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => ! [B_xa] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 190.45/190.63 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 190.45/190.63 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_aset_I4_J,axiom,
% 190.45/190.63 ! [V_A_2,V_t_2,V_D_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 190.45/190.63 => ! [B_x] :
% 190.45/190.63 ( ! [B_xa] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => ! [B_xb] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 190.45/190.63 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 190.45/190.63 => ( B_x != V_t_2
% 190.45/190.63 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_bset_I4_J,axiom,
% 190.45/190.63 ! [V_B_2,V_t_2,V_D_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 190.45/190.63 => ! [B_x] :
% 190.45/190.63 ( ! [B_xa] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => ! [B_xb] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 190.45/190.63 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 190.45/190.63 => ( B_x != V_t_2
% 190.45/190.63 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_bset_I7_J,axiom,
% 190.45/190.63 ! [V_B_2,V_t_2,V_D_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 190.45/190.63 => ! [B_x] :
% 190.45/190.63 ( ! [B_xa] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => ! [B_xb] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 190.45/190.63 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 190.45/190.63 => 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))) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_aset_I5_J,axiom,
% 190.45/190.63 ! [V_A_2,V_t_2,V_D_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 190.45/190.63 => ! [B_x] :
% 190.45/190.63 ( ! [B_xa] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => ! [B_xb] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 190.45/190.63 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_aset_I8_J,axiom,
% 190.45/190.63 ! [V_t_2,V_A_2,V_D_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 190.45/190.63 => ! [B_x] :
% 190.45/190.63 ( ! [B_xa] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => ! [B_xb] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 190.45/190.63 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 190.45/190.63 => 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))) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_bset_I6_J,axiom,
% 190.45/190.63 ! [V_t_2,V_B_2,V_D_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 190.45/190.63 => ! [B_x] :
% 190.45/190.63 ( ! [B_xa] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => ! [B_xb] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 190.45/190.63 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_eq__Abs__Integ,axiom,
% 190.45/190.63 ! [V_z_2] :
% 190.45/190.63 ~ ! [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))))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_card_Ounion__inter__neutral,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( ( ? [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)))
% 190.45/190.63 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setprod__Un,axiom,
% 190.45/190.63 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( class_Fields_Ofield(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( ! [B_x] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) )
% 190.45/190.63 => 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))) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Cantors__paradox,axiom,
% 190.45/190.63 ! [V_A_2,T_b] :
% 190.45/190.63 ~ ? [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_periodic__finite__ex,axiom,
% 190.45/190.63 ! [V_Pa_2,V_d_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 190.45/190.63 => ( ! [B_x,B_k] :
% 190.45/190.63 ( hBOOL(hAPP(V_Pa_2,B_x))
% 190.45/190.63 <=> 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)))) )
% 190.45/190.63 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 190.45/190.63 <=> ? [B_x] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_aset_I7_J,axiom,
% 190.45/190.63 ! [V_t_2,V_A_2,V_D_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 190.45/190.63 => ! [B_x] :
% 190.45/190.63 ( ! [B_xa] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => ! [B_xb] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 190.45/190.63 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 190.45/190.63 => 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))) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_image__ident,axiom,
% 190.45/190.63 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 190.45/190.63
% 190.45/190.63 fof(fact_bset_I5_J,axiom,
% 190.45/190.63 ! [V_t_2,V_B_2,V_D_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 190.45/190.63 => ! [B_x] :
% 190.45/190.63 ( ! [B_xa] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => ! [B_xb] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 190.45/190.63 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 190.45/190.63 ! [V_u_2] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 190.45/190.63 => 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_fold__image__Un__one,axiom,
% 190.45/190.63 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 190.45/190.63 => ( ! [B_x] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 190.45/190.63 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( ! [B_x] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_finite__lessThan,axiom,
% 190.45/190.63 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_lessThan__eq__iff,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)
% 190.45/190.63 <=> V_x_2 = V_y_2 ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_card__lessThan,axiom,
% 190.45/190.63 ! [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 ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeast0LessThan,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_lessThan__0,axiom,
% 190.45/190.63 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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_lessThan__Suc,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_lessThan__iff,axiom,
% 190.45/190.63 ! [V_k_2,V_i_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oord(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)))
% 190.45/190.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_lessThan__subset__iff,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( 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)))
% 190.45/190.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_lessThan__strict__subset__iff,axiom,
% 190.45/190.63 ! [V_na_2,V_m_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( 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)))
% 190.45/190.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_na_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_single__Diff__lessThan,axiom,
% 190.45/190.63 ! [V_k_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__un_I8_J,axiom,
% 190.45/190.63 ! [V_u_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__int_I4_J,axiom,
% 190.45/190.63 ! [V_u_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__int_I2_J,axiom,
% 190.45/190.63 ! [V_u_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 190.45/190.63 ! [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))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_arith__series__int,axiom,
% 190.45/190.63 ! [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)))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setprod__Un__one,axiom,
% 190.45/190.63 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 190.45/190.63 => ( ! [B_x] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_arith__series__nat,axiom,
% 190.45/190.63 ! [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)))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_arith__series__general,axiom,
% 190.45/190.63 ! [V_na_2,V_d_2,V_a_2,T_b] :
% 190.45/190.63 ( class_Rings_Ocomm__semiring__1(T_b)
% 190.45/190.63 => 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)))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__0,axiom,
% 190.45/190.63 ! [V_A_2,T_c,T_b] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__addf,axiom,
% 190.45/190.63 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__product,axiom,
% 190.45/190.63 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.63 ( class_Rings_Osemiring__0(T_b)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__left__distrib,axiom,
% 190.45/190.63 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.63 ( class_Rings_Osemiring__0(T_b)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__right__distrib,axiom,
% 190.45/190.63 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] :
% 190.45/190.63 ( class_Rings_Osemiring__0(T_b)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__subtractf,axiom,
% 190.45/190.63 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 190.45/190.63 ( class_Groups_Oab__group__add(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__negf,axiom,
% 190.45/190.63 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.63 ( class_Groups_Oab__group__add(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__divide__distrib,axiom,
% 190.45/190.63 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.63 ( class_Fields_Ofield(T_b)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_of__nat__setsum,axiom,
% 190.45/190.63 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.63 ( class_Rings_Osemiring__1(T_b)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_int__setsum,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__commute,axiom,
% 190.45/190.63 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_of__int__setsum,axiom,
% 190.45/190.63 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.63 ( class_Rings_Oring__1(T_b)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum_Oempty,axiom,
% 190.45/190.63 ! [V_g_2,T_c,T_b] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__empty,axiom,
% 190.45/190.63 ! [V_f_2,T_c,T_b] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum_Oinfinite,axiom,
% 190.45/190.63 ! [V_g_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.63 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__infinite,axiom,
% 190.45/190.63 ! [V_f_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.63 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__eq__0__iff,axiom,
% 190.45/190.63 ! [V_f_2,V_F_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 190.45/190.63 => ( 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)
% 190.45/190.63 <=> ! [B_x] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 190.45/190.63 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum_Odistrib,axiom,
% 190.45/190.63 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => 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)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_card__eq__setsum,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 190.45/190.63 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 190.45/190.63 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 190.45/190.63 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 190.45/190.63 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__eq__Suc0__iff,axiom,
% 190.45/190.63 ! [V_f_2,V_A_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( 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))
% 190.45/190.63 <=> ? [B_x] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.63 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 190.45/190.63 & ! [B_xa] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 190.45/190.63 => ( B_x != B_xa
% 190.45/190.63 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__eq__1__iff,axiom,
% 190.45/190.63 ! [V_f_2,V_A_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( 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)
% 190.45/190.63 <=> ? [B_x] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.63 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 190.45/190.63 & ! [B_xa] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 190.45/190.63 => ( B_x != B_xa
% 190.45/190.63 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__add__nat__ivl,axiom,
% 190.45/190.63 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__diff__nat__ivl,axiom,
% 190.45/190.63 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] :
% 190.45/190.63 ( class_Groups_Oab__group__add(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 190.45/190.63 ! [V_k_2,V_f_2] :
% 190.45/190.63 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__delta,axiom,
% 190.45/190.63 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 190.45/190.63 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 190.45/190.63 => 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) )
% 190.45/190.63 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 190.45/190.63 => 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) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__delta_H,axiom,
% 190.45/190.63 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 190.45/190.63 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 190.45/190.63 => 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) )
% 190.45/190.63 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 190.45/190.63 => 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) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__constant,axiom,
% 190.45/190.63 ! [V_A_2,V_y_2,T_c,T_b] :
% 190.45/190.63 ( class_Rings_Osemiring__1(T_b)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__lessThan__Suc,axiom,
% 190.45/190.63 ! [V_na_2,V_f_2,T_b] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__insert,axiom,
% 190.45/190.63 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 190.45/190.63 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum_Oinsert,axiom,
% 190.45/190.63 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__Un__Int,axiom,
% 190.45/190.63 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__diff,axiom,
% 190.45/190.63 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Oab__group__add(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum_OF__eq,axiom,
% 190.45/190.63 ! [V_g_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.63 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => 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) )
% 190.45/190.63 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => 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) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum_Oeq__fold,axiom,
% 190.45/190.63 ! [V_g_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__diff__nat,axiom,
% 190.45/190.63 ! [V_f_2,V_A_2,V_B_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.45/190.63 => 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)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 190.45/190.63 ! [V_k_2,V_f_2,T_b] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.63 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.63 => 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)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__head__upt__Suc,axiom,
% 190.45/190.63 ! [V_f_2,V_na_2,V_m_2,T_b] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 190.45/190.63 => 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))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__head__Suc,axiom,
% 190.45/190.63 ! [V_f_2,V_na_2,V_m_2,T_b] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 190.45/190.63 => 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))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__restrict__set,axiom,
% 190.45/190.63 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum_Oinsert__remove,axiom,
% 190.45/190.63 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => 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)))))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__Un__disjoint,axiom,
% 190.45/190.63 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__Un,axiom,
% 190.45/190.63 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Oab__group__add(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => 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))) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__diff1__nat,axiom,
% 190.45/190.63 ! [V_f_2,V_A_2,V_a_2,T_b] :
% 190.45/190.63 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.63 => 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)) )
% 190.45/190.63 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__Un__nat,axiom,
% 190.45/190.63 ! [V_f_2,V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => 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))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__op__ivl__Suc,axiom,
% 190.45/190.63 ! [V_f_2,V_m_2,V_na_2,T_b] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.63 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 190.45/190.63 => 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) )
% 190.45/190.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__cl__ivl__Suc,axiom,
% 190.45/190.63 ! [V_f_2,V_m_2,V_na_2,T_b] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.63 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2))
% 190.45/190.63 => 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) )
% 190.45/190.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2))
% 190.45/190.63 => 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))) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__head,axiom,
% 190.45/190.63 ! [V_Pa_2,V_na_2,V_m_2,T_b] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 190.45/190.63 => 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))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__ub__add__nat,axiom,
% 190.45/190.63 ! [V_p_2,V_f_2,V_na_2,V_m_2,T_b] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.63 => ( 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))))
% 190.45/190.63 => 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)))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum_Oremove,axiom,
% 190.45/190.63 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.63 => 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)))))) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__diff1_H,axiom,
% 190.45/190.63 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.63 => 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)))))) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__diff1__ring,axiom,
% 190.45/190.63 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( class_Rings_Oring(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__diff1,axiom,
% 190.45/190.63 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Oab__group__add(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.63 => 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)) )
% 190.45/190.63 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.63 => 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) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_geometric__sum,axiom,
% 190.45/190.63 ! [V_na_2,V_x_2,T_b] :
% 190.45/190.63 ( class_Fields_Ofield(T_b)
% 190.45/190.63 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b)
% 190.45/190.63 => 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))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_gauss__sum,axiom,
% 190.45/190.63 ! [V_na_2,T_b] :
% 190.45/190.63 ( class_Rings_Ocomm__semiring__1(T_b)
% 190.45/190.63 => 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__natinterval__difff,axiom,
% 190.45/190.63 ! [V_f_2,V_na_2,V_m_2,T_b] :
% 190.45/190.63 ( class_Groups_Oab__group__add(T_b)
% 190.45/190.63 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 190.45/190.63 => 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)))) )
% 190.45/190.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 190.45/190.63 => 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) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 190.45/190.63 ! [V_f_2,V_A_2,T_b] :
% 190.45/190.63 ( ! [B_x] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.63 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__mono2,axiom,
% 190.45/190.63 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Oordered__comm__monoid__add(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.63 => ( ! [B_b] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) )
% 190.45/190.63 => 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))) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__bounded,axiom,
% 190.45/190.63 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( ( class_Groups_Oordered__ab__semigroup__add(T_c)
% 190.45/190.63 & class_Rings_Osemiring__1(T_c) )
% 190.45/190.63 => ( ! [B_i] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2))
% 190.45/190.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) )
% 190.45/190.63 => 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))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__Un__zero,axiom,
% 190.45/190.63 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 190.45/190.63 => ( ! [B_x] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 190.45/190.63 ! [V_A_2,V_f_2,T_b] :
% 190.45/190.63 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.63 & class_Groups_Ocomm__monoid__mult(T_b) )
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 190.45/190.63 ! [V_f_2,V_A_2,T_b] :
% 190.45/190.63 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.63 & class_Groups_Ocomm__monoid__mult(T_b) )
% 190.45/190.63 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 190.45/190.63 => 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)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 190.45/190.63 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( ! [B_x] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__mono3,axiom,
% 190.45/190.63 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 190.45/190.63 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.63 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.63 => ( ! [B_x] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 190.45/190.63 => 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))) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Inf__fin_Oremove,axiom,
% 190.45/190.63 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.63 => ( ( hAPP(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))
% 190.45/190.63 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 )
% 190.45/190.63 & ( hAPP(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))
% 190.45/190.63 => 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)))))) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 190.45/190.63 ! [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))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_finite__atMost,axiom,
% 190.45/190.63 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atMost__eq__iff,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)
% 190.45/190.63 <=> V_x_2 = V_y_2 ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Inf__fin_Osingleton,axiom,
% 190.45/190.63 ! [V_x_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => 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 ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeast0AtMost,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_lessThan__Suc__atMost,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_card__atMost,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atMost__Suc,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atMost__iff,axiom,
% 190.45/190.63 ! [V_k_2,V_i_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oord(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)))
% 190.45/190.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atMost__subset__iff,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => ( 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)))
% 190.45/190.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sup__Inf__absorb,axiom,
% 190.45/190.63 ! [V_a_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.63 => 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 ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Inf__fin_Oin__idem,axiom,
% 190.45/190.63 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.63 => 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) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Inf__fin_OF__eq,axiom,
% 190.45/190.63 ! [V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__atMost__Suc,axiom,
% 190.45/190.63 ! [V_na_2,V_f_2,T_b] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.63 => 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atMost__0,axiom,
% 190.45/190.63 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))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__atLeastAtMostL1,axiom,
% 190.45/190.63 ! [V_d_2,V_b_2,V_a_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__atLeastAtMostR1,axiom,
% 190.45/190.63 ! [V_d_2,V_c_2,V_b_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 190.45/190.63 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__un_I9_J,axiom,
% 190.45/190.63 ! [V_u_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Inf__fin_Osubset__idem,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.45/190.63 => 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) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Inf__fin_Ounion__idem,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__int_I3_J,axiom,
% 190.45/190.63 ! [V_u_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__int_I1_J,axiom,
% 190.45/190.63 ! [V_u_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Inf__le__Sup,axiom,
% 190.45/190.63 ! [V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => 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))) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Inf__fin_Oinsert,axiom,
% 190.45/190.63 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 190.45/190.63 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( ( hAPP(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))
% 190.45/190.63 => 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 )
% 190.45/190.63 & ( hAPP(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))
% 190.45/190.63 => 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)))))) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Inf__fin_Ounion__inter,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 190.45/190.63 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.63 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)) ) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__un_I2_J,axiom,
% 190.45/190.63 ! [V_u_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__un_I10_J,axiom,
% 190.45/190.63 ! [V_u_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__un_I7_J,axiom,
% 190.45/190.63 ! [V_u_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Inf__fin_Oclosed,axiom,
% 190.45/190.63 ! [V_A_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( ! [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))))))
% 190.45/190.63 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_fun__upd__image,axiom,
% 190.45/190.63 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 190.45/190.63 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.63 => 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)))))) )
% 190.45/190.63 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__nonneg__leq__bound,axiom,
% 190.45/190.63 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Oordered__ab__group__add(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 190.45/190.63 => ( ! [B_i] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 190.45/190.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 190.45/190.63 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 190.45/190.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__nonneg__0,axiom,
% 190.45/190.63 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Oordered__ab__group__add(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 190.45/190.63 => ( ! [B_i] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 190.45/190.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 190.45/190.63 => ( 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)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 190.45/190.63 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_fun__upd__triv,axiom,
% 190.45/190.63 ! [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 ).
% 190.45/190.63
% 190.45/190.63 fof(fact_fun__upd__idem__iff,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 190.45/190.63 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2
% 190.45/190.63 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_fun__upd__upd,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_fun__upd__same,axiom,
% 190.45/190.63 ! [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 ).
% 190.45/190.63
% 190.45/190.63 fof(fact_fun__upd__apply,axiom,
% 190.45/190.63 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 190.45/190.63 ( ( V_z_2 = V_x_2
% 190.45/190.63 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
% 190.45/190.63 & ( V_z_2 != V_x_2
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_fun__upd__twist,axiom,
% 190.45/190.63 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] :
% 190.45/190.63 ( V_a_2 != V_c_2
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_fun__upd__other,axiom,
% 190.45/190.63 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 190.45/190.63 ( V_z_2 != V_x_2
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_fun__upd__idem,axiom,
% 190.45/190.63 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] :
% 190.45/190.63 ( hAPP(V_f_2,V_x_2) = V_y_2
% 190.45/190.63 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_fun__upd__def,axiom,
% 190.45/190.63 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] :
% 190.45/190.63 ( ( V_x_2 = V_a_2
% 190.45/190.63 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 )
% 190.45/190.63 & ( V_x_2 != V_a_2
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sum__diff__distrib,axiom,
% 190.45/190.63 ! [V_na_2,V_Pa_2,V_Q_2] :
% 190.45/190.63 ( ! [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)))
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Inf__fin_Ohom__commute,axiom,
% 190.45/190.63 ! [V_N_2,V_h_2,T_b] :
% 190.45/190.63 ( class_Lattices_Olattice(T_b)
% 190.45/190.63 => ( ! [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))
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 190.45/190.63 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ImageE,axiom,
% 190.45/190.63 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 190.45/190.63 => ~ ! [B_x] :
% 190.45/190.63 ( 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))
% 190.45/190.63 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__mono__zero__left,axiom,
% 190.45/190.63 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 190.45/190.63 => ( ! [B_x] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 190.45/190.63 => 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) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__mono__zero__right,axiom,
% 190.45/190.63 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 190.45/190.63 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 190.45/190.63 => ( ! [B_x] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 190.45/190.63 => 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) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_setsum__strict__mono,axiom,
% 190.45/190.63 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 190.45/190.63 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.63 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) )
% 190.45/190.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.63 => ( ! [B_x] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 190.45/190.63 => 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))) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atMost__Int__atLeast,axiom,
% 190.45/190.63 ! [V_na_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_field__le__mult__one__interval,axiom,
% 190.45/190.63 ! [V_y,V_x,T_a] :
% 190.45/190.63 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 190.45/190.63 => ( ! [B_z] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 190.45/190.63 => 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)) ) )
% 190.45/190.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeast__eq__iff,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)
% 190.45/190.63 <=> V_x_2 = V_y_2 ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeast__iff,axiom,
% 190.45/190.63 ! [V_k_2,V_i_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oord(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)))
% 190.45/190.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeast__subset__iff,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => ( 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)))
% 190.45/190.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Compl__lessThan,axiom,
% 190.45/190.63 ! [V_k_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Compl__atLeast,axiom,
% 190.45/190.63 ! [V_k_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__un_I14_J,axiom,
% 190.45/190.63 ! [V_u_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__int_I8_J,axiom,
% 190.45/190.63 ! [V_u_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__atLeastAtMostR2,axiom,
% 190.45/190.63 ! [V_d_2,V_c_2,V_a_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Int__atLeastAtMostL2,axiom,
% 190.45/190.63 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__int_I6_J,axiom,
% 190.45/190.63 ! [V_u_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_image__uminus__atLeast,axiom,
% 190.45/190.63 ! [V_x_2,T_b] :
% 190.45/190.63 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_image__uminus__atMost,axiom,
% 190.45/190.63 ! [V_x_2,T_b] :
% 190.45/190.63 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeast__Suc,axiom,
% 190.45/190.63 ! [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)))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__un_I12_J,axiom,
% 190.45/190.63 ! [V_u_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__un_I13_J,axiom,
% 190.45/190.63 ! [V_u_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__un_I1_J,axiom,
% 190.45/190.63 ! [V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 190.45/190.63 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 190.45/190.63 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.63 & class_Groups_Ocomm__monoid__mult(T_b) )
% 190.45/190.63 => ( V_A_2 = V_B_2
% 190.45/190.63 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 190.45/190.63 => ( ! [B_x] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 190.45/190.63 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 190.45/190.63 => 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) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_greaterThan__eq__iff,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)
% 190.45/190.63 <=> V_x_2 = V_y_2 ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_atLeast__Suc__greaterThan,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_greaterThan__iff,axiom,
% 190.45/190.63 ! [V_k_2,V_i_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oord(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)))
% 190.45/190.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_greaterThan__subset__iff,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( 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)))
% 190.45/190.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Compl__atMost,axiom,
% 190.45/190.63 ! [V_k_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_Compl__greaterThan,axiom,
% 190.45/190.63 ! [V_k_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__int_I7_J,axiom,
% 190.45/190.63 ! [V_u_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__un_I11_J,axiom,
% 190.45/190.63 ! [V_u_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Olinorder(T_b)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_image__uminus__greaterThan,axiom,
% 190.45/190.63 ! [V_x_2,T_b] :
% 190.45/190.63 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_image__uminus__lessThan,axiom,
% 190.45/190.63 ! [V_x_2,T_b] :
% 190.45/190.63 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_ivl__disj__int_I5_J,axiom,
% 190.45/190.63 ! [V_u_2,V_l_2,T_b] :
% 190.45/190.63 ( class_Orderings_Oorder(T_b)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_greaterThan__Suc,axiom,
% 190.45/190.63 ! [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)))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sgn__if,axiom,
% 190.45/190.63 ! [V_x,T_a] :
% 190.45/190.63 ( class_Groups_Osgn__if(T_a)
% 190.45/190.63 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.63 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 190.45/190.63 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.63 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 190.45/190.63 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 190.45/190.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 190.45/190.63 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sgn__neg,axiom,
% 190.45/190.63 ! [V_a,T_a] :
% 190.45/190.63 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.63 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sgn__1__neg,axiom,
% 190.45/190.63 ! [V_a_2,T_b] :
% 190.45/190.63 ( class_Rings_Olinordered__idom(T_b)
% 190.45/190.63 => ( 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))
% 190.45/190.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_equiv__class__nondisjoint,axiom,
% 190.45/190.63 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] :
% 190.45/190.63 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 190.45/190.63 => ( 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)))))))
% 190.45/190.63 => 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)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sgn__sgn,axiom,
% 190.45/190.63 ! [V_a,T_a] :
% 190.45/190.63 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.63 => 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) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sgn__0__0,axiom,
% 190.45/190.63 ! [V_a_2,T_b] :
% 190.45/190.63 ( class_Rings_Olinordered__idom(T_b)
% 190.45/190.63 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.63 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sgn0,axiom,
% 190.45/190.63 ! [T_a] :
% 190.45/190.63 ( class_Groups_Osgn__if(T_a)
% 190.45/190.63 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sgn__times,axiom,
% 190.45/190.63 ! [V_b,V_a,T_a] :
% 190.45/190.63 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.63 => 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)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sgn__greater,axiom,
% 190.45/190.63 ! [V_a_2,T_b] :
% 190.45/190.63 ( class_Rings_Olinordered__idom(T_b)
% 190.45/190.63 => ( 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)))
% 190.45/190.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sgn__less,axiom,
% 190.45/190.63 ! [V_a_2,T_b] :
% 190.45/190.63 ( class_Rings_Olinordered__idom(T_b)
% 190.45/190.63 => ( 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)))
% 190.45/190.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_equiv__class__self,axiom,
% 190.45/190.63 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 190.45/190.63 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.63 => 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)))))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_equiv__class__eq,axiom,
% 190.45/190.63 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 190.45/190.63 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sgn__1__pos,axiom,
% 190.45/190.63 ! [V_a_2,T_b] :
% 190.45/190.63 ( class_Rings_Olinordered__idom(T_b)
% 190.45/190.63 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b)
% 190.45/190.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_sgn__pos,axiom,
% 190.45/190.63 ! [V_a,T_a] :
% 190.45/190.63 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.63 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_equiv__class__eq__iff,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 190.45/190.63 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 190.45/190.63 => ( 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))
% 190.45/190.63 <=> ( 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))))
% 190.45/190.63 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.63 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_eq__equiv__class,axiom,
% 190.45/190.63 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] :
% 190.45/190.63 ( 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))))
% 190.45/190.63 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_eq__equiv__class__iff,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 190.45/190.63 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 190.45/190.63 => ( 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))))
% 190.45/190.63 <=> 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_equiv__class__subset,axiom,
% 190.45/190.63 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 190.45/190.63 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 190.45/190.63 => ( 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))
% 190.45/190.63 => 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)))))) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_zsgn__def,axiom,
% 190.45/190.63 ! [V_i] :
% 190.45/190.63 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.63 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 190.45/190.63 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.63 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 190.45/190.63 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 190.45/190.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 190.45/190.63 => 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_subset__equiv__class,axiom,
% 190.45/190.63 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] :
% 190.45/190.63 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 190.45/190.63 => ( 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))))))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 190.45/190.63 => 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)) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_eq__equiv__class__iff2,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 190.45/190.63 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 190.45/190.63 => ( 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)
% 190.45/190.63 <=> 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_singleton__quotient,axiom,
% 190.45/190.63 ! [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))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_quotient__eqI,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 190.45/190.63 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 190.45/190.63 => ( 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)))
% 190.45/190.63 => ( 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)))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 190.45/190.63 => ( 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))
% 190.45/190.63 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_quotient__eq__iff,axiom,
% 190.45/190.63 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 190.45/190.63 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 190.45/190.63 => ( 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)))
% 190.45/190.63 => ( 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)))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 190.45/190.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 190.45/190.63 => ( V_X_2 = V_Y_2
% 190.45/190.63 <=> 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)) ) ) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_quotient__is__empty,axiom,
% 190.45/190.63 ! [V_r_2,V_A_2,T_b] :
% 190.45/190.63 ( 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))
% 190.45/190.63 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_quotient__is__empty2,axiom,
% 190.45/190.63 ! [V_r_2,V_A_2,T_b] :
% 190.45/190.63 ( 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)
% 190.45/190.63 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_quotient__empty,axiom,
% 190.45/190.63 ! [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)) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_quotient__disj,axiom,
% 190.45/190.63 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 190.45/190.63 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 190.45/190.63 => ( 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)))
% 190.45/190.63 => ( 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)))
% 190.45/190.63 => ( V_X_2 = V_Y_2
% 190.45/190.63 | 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)) ) ) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_quotientI,axiom,
% 190.45/190.63 ! [V_r_2,V_A_2,V_x_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.63 => 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))) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_quotientE,axiom,
% 190.45/190.63 ! [V_r_2,V_A_2,V_X_2,T_b] :
% 190.45/190.63 ( 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)))
% 190.45/190.63 => ~ ! [B_x] :
% 190.45/190.63 ( 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))))
% 190.45/190.63 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_card__quotient__disjoint,axiom,
% 190.45/190.63 ! [V_r_2,V_A_2,T_b] :
% 190.45/190.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.63 => ( 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)
% 190.45/190.63 => 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) ) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_quotient__def,axiom,
% 190.45/190.63 ! [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)))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 190.45/190.63 ! [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) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inj__on__empty,axiom,
% 190.45/190.63 ! [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))) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_inj__uminus,axiom,
% 190.45/190.63 ! [V_A_2,T_b] :
% 190.45/190.63 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.45/190.63 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ).
% 190.45/190.63
% 190.45/190.63 fof(fact_SUP1__I,axiom,
% 190.45/190.64 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__on__diff,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.64 => 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__on__def,axiom,
% 190.45/190.64 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.64 <=> ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.64 => ! [B_xa] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 190.45/190.64 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 190.45/190.64 => B_x = B_xa ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__on__id2,axiom,
% 190.45/190.64 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_subset__inj__on,axiom,
% 190.45/190.64 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.64 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__onD,axiom,
% 190.45/190.64 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.64 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 190.45/190.64 => V_x_2 = V_y_2 ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__on__iff,axiom,
% 190.45/190.64 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 190.45/190.64 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 190.45/190.64 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__on__contraD,axiom,
% 190.45/190.64 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.64 => ( V_x_2 != V_y_2
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 190.45/190.64 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__on__Int,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.64 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__UN,axiom,
% 190.45/190.64 ! [V_B_2,T_c,V_A_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( 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)))
% 190.45/190.64 <=> ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_SUP1__iff,axiom,
% 190.45/190.64 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 <=> ? [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.64 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Image__UN,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__imageD,axiom,
% 190.45/190.64 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 190.45/190.64 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2)
% 190.45/190.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => ( 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)
% 190.45/190.64 <=> V_A_2 = V_B_2 ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_card__image,axiom,
% 190.45/190.64 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.64 => 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) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__on__strict__subset,axiom,
% 190.45/190.64 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__surj__inj,axiom,
% 190.45/190.64 ! [V_f_2,V_A_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( 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)))
% 190.45/190.64 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_endo__inj__surj,axiom,
% 190.45/190.64 ! [V_f_2,V_A_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( 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))
% 190.45/190.64 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2)
% 190.45/190.64 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__on__image__Int,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 190.45/190.64 => 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)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__on__iff__eq__card,axiom,
% 190.45/190.64 ! [V_f_2,T_c,V_A_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.64 <=> 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) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_eq__card__imp__inj__on,axiom,
% 190.45/190.64 ! [V_f_2,T_c,V_A_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( 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)
% 190.45/190.64 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__on__image__set__diff,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 190.45/190.64 => 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)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_pigeonhole,axiom,
% 190.45/190.64 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__on__fun__updI,axiom,
% 190.45/190.64 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.64 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 190.45/190.64 => 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) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Image__eq__UN,axiom,
% 190.45/190.64 ! [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))))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_card__bij__eq,axiom,
% 190.45/190.64 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.64 => ( 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))
% 190.45/190.64 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 190.45/190.64 => ( 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))
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 190.45/190.64 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__on__insert,axiom,
% 190.45/190.64 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))
% 190.45/190.64 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.64 & ~ 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))))))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__on__Un,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.64 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 190.45/190.64 & 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__on__iff__card__le,axiom,
% 190.45/190.64 ! [V_B_2,T_c,V_A_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 190.45/190.64 => ( ? [B_f] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 190.45/190.64 & 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)) )
% 190.45/190.64 <=> 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))) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_card__inj__on__le,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.64 => ( 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))
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 190.45/190.64 => 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))) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_quotient__diff1,axiom,
% 190.45/190.64 ! [V_a_2,V_A_2,V_r_2,T_b] :
% 190.45/190.64 ( 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)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 190.45/190.64 ! [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 ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__I,axiom,
% 190.45/190.64 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__Pow__subset,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_image__eq__UN,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__on__iff__surj,axiom,
% 190.45/190.64 ! [V_A_H_2,T_c,T_b,V_A_2] :
% 190.45/190.64 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => ( ? [B_f] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 190.45/190.64 & 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)) )
% 190.45/190.64 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__Suc,axiom,
% 190.45/190.64 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__on__add__nat,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_swap__inj__on,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_ball__UN,axiom,
% 190.45/190.64 ! [V_Pa_2,V_B_2,V_A_2,T_c,T_b] :
% 190.45/190.64 ( ! [B_x] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.45/190.64 <=> ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 190.45/190.64 => ! [B_xa] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x)))
% 190.45/190.64 => hBOOL(hAPP(V_Pa_2,B_xa)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__le__add__shift,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_SUP__commute,axiom,
% 190.45/190.64 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 190.45/190.64 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__UN__flatten,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__simps_I9_J,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__extend__simps_I9_J,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__le__eq__Un0,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_SUP__le__iff,axiom,
% 190.45/190.64 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] :
% 190.45/190.64 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.64 => ( 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))
% 190.45/190.64 <=> ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_less__SUP__iff,axiom,
% 190.45/190.64 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] :
% 190.45/190.64 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.64 & class_Orderings_Olinorder(T_b) )
% 190.45/190.64 => ( 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)))
% 190.45/190.64 <=> ? [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 190.45/190.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__iff,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 <=> ? [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 190.45/190.64 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_SUP__const,axiom,
% 190.45/190.64 ! [V_M_2,T_b,V_A_2,T_c] :
% 190.45/190.64 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 190.45/190.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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 ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UNION__empty__conv_I2_J,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,T_b,T_c] :
% 190.45/190.64 ( 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))
% 190.45/190.64 <=> ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 190.45/190.64 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__constant,axiom,
% 190.45/190.64 ! [V_c_2,T_c,T_b,V_A_2] :
% 190.45/190.64 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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)) )
% 190.45/190.64 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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 ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__empty2,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UNION__empty__conv_I1_J,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,T_c,T_b] :
% 190.45/190.64 ( 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)
% 190.45/190.64 <=> ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 190.45/190.64 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__subset__iff,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 <=> ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__simps_I10_J,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_image__UN,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__extend__simps_I10_J,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__Un,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__Un__distrib,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__simps_I5_J,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__simps_I4_J,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__extend__simps_I5_J,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Int__UN__distrib,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__extend__simps_I4_J,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Int__UN__distrib2,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_SUPR__apply,axiom,
% 190.45/190.64 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 190.45/190.64 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.64 => 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__extend__simps_I6_J,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__simps_I6_J,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_SUP__subset,axiom,
% 190.45/190.64 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 190.45/190.64 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_le__SUPI,axiom,
% 190.45/190.64 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 190.45/190.64 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__insert__distrib,axiom,
% 190.45/190.64 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 190.45/190.64 => 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__upper,axiom,
% 190.45/190.64 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__absorb,axiom,
% 190.45/190.64 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 190.45/190.64 => 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) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__simps_I1_J,axiom,
% 190.45/190.64 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 190.45/190.64 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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)) )
% 190.45/190.64 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__singleton,axiom,
% 190.45/190.64 ! [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 ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__extend__simps_I1_J,axiom,
% 190.45/190.64 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 190.45/190.64 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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))) )
% 190.45/190.64 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__extend__simps_I2_J,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 190.45/190.64 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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 )
% 190.45/190.64 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__extend__simps_I3_J,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 190.45/190.64 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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 )
% 190.45/190.64 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__simps_I2_J,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 190.45/190.64 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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)) )
% 190.45/190.64 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__simps_I3_J,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 190.45/190.64 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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)) )
% 190.45/190.64 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__insert,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_minus__int__def,axiom,
% 190.45/190.64 ! [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))))))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__equiv__class2,axiom,
% 190.45/190.64 ! [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] :
% 190.45/190.64 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 190.45/190.64 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 190.45/190.64 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2))
% 190.45/190.64 => 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) ) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__equiv__class,axiom,
% 190.45/190.64 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 190.45/190.64 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 190.45/190.64 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.64 => 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) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_nat__def,axiom,
% 190.45/190.64 ! [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)))))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_SUP2__I,axiom,
% 190.45/190.64 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Rep__Integ__inject,axiom,
% 190.45/190.64 ! [V_y_2,V_x_2] :
% 190.45/190.64 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 190.45/190.64 <=> V_x_2 = V_y_2 ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Rep__Integ__inverse,axiom,
% 190.45/190.64 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 190.45/190.64
% 190.45/190.64 fof(fact_congruent2__implies__congruent,axiom,
% 190.45/190.64 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] :
% 190.45/190.64 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2)
% 190.45/190.64 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.64 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_congruent2D,axiom,
% 190.45/190.64 ! [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] :
% 190.45/190.64 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 190.45/190.64 => ( 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))
% 190.45/190.64 => ( 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))
% 190.45/190.64 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_congruentD,axiom,
% 190.45/190.64 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] :
% 190.45/190.64 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 190.45/190.64 => ( 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))
% 190.45/190.64 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_congruent2__implies__congruent__UN,axiom,
% 190.45/190.64 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 190.45/190.64 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 190.45/190.64 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 190.45/190.64 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2))
% 190.45/190.64 => 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)) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__equiv__class__inject,axiom,
% 190.45/190.64 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 190.45/190.64 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 190.45/190.64 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 190.45/190.64 => ( 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)
% 190.45/190.64 => ( 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)))
% 190.45/190.64 => ( 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)))
% 190.45/190.64 => ( ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.64 => ! [B_y] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 190.45/190.64 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 190.45/190.64 => 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)) ) ) )
% 190.45/190.64 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__equiv__class__type2,axiom,
% 190.45/190.64 ! [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] :
% 190.45/190.64 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 190.45/190.64 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 190.45/190.64 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 190.45/190.64 => ( 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)))
% 190.45/190.64 => ( 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)))
% 190.45/190.64 => ( ! [B_x1] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2))
% 190.45/190.64 => ! [B_x2] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 190.45/190.64 => 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)) ) ) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__equiv__class__type,axiom,
% 190.45/190.64 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 190.45/190.64 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 190.45/190.64 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 190.45/190.64 => ( 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)))
% 190.45/190.64 => ( ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 190.45/190.64 => 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)) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Id__on__def,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_SUP2__iff,axiom,
% 190.45/190.64 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 <=> ? [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.64 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Id__on__def_H,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Id__on__empty,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Image__Id__on,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Id__on__eqI,axiom,
% 190.45/190.64 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 190.45/190.64 ( V_a_2 = V_b_2
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Id__on__iff,axiom,
% 190.45/190.64 ! [V_A_2,V_y_2,V_x_2,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 <=> ( V_x_2 = V_y_2
% 190.45/190.64 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Id__onE,axiom,
% 190.45/190.64 ! [V_A_2,V_c_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2)))
% 190.45/190.64 => ~ ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.64 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_the__inv__into__into,axiom,
% 190.45/190.64 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.64 => 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)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_divmod__int__pdivmod,axiom,
% 190.45/190.64 ! [V_l_2,V_k_2] :
% 190.45/190.64 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.64 => 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)) )
% 190.45/190.64 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.64 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.64 => 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) )
% 190.45/190.64 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.64 => 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)))) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_incr__lemma,axiom,
% 190.45/190.64 ! [V_x,V_z,V_d] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 190.45/190.64 => 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)))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_setsum__abs,axiom,
% 190.45/190.64 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_setsum__abs__ge__zero,axiom,
% 190.45/190.64 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__minus__commute,axiom,
% 190.45/190.64 ! [V_b,V_a,T_a] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 190.45/190.64 => 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__setsum__abs,axiom,
% 190.45/190.64 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 190.45/190.64 => 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) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__setprod,axiom,
% 190.45/190.64 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( class_Fields_Olinordered__field(T_b)
% 190.45/190.64 => 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) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__le__D1,axiom,
% 190.45/190.64 ! [V_b,V_a,T_a] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__ge__self,axiom,
% 190.45/190.64 ! [V_a,T_a] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__of__nat,axiom,
% 190.45/190.64 ! [V_n,T_a] :
% 190.45/190.64 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.64 => 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) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_power__abs,axiom,
% 190.45/190.64 ! [V_n,V_a,T_a] :
% 190.45/190.64 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.64 => 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) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__divide,axiom,
% 190.45/190.64 ! [V_b,V_a,T_a] :
% 190.45/190.64 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 190.45/190.64 => 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__add__abs,axiom,
% 190.45/190.64 ! [V_b,V_a,T_a] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 190.45/190.64 => 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__mult__self,axiom,
% 190.45/190.64 ! [V_a,T_a] :
% 190.45/190.64 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.64 => 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) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__mult,axiom,
% 190.45/190.64 ! [V_b,V_a,T_a] :
% 190.45/190.64 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.64 => 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__idempotent,axiom,
% 190.45/190.64 ! [V_a,T_a] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 190.45/190.64 => 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) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__eq__0,axiom,
% 190.45/190.64 ! [V_a_2,T_b] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 190.45/190.64 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.64 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__zero,axiom,
% 190.45/190.64 ! [T_a] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 190.45/190.64 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__minus__cancel,axiom,
% 190.45/190.64 ! [V_a,T_a] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 190.45/190.64 => 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) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__one,axiom,
% 190.45/190.64 ! [T_a] :
% 190.45/190.64 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.64 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__int__eq,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_apsnd__conv,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__ge__zero,axiom,
% 190.45/190.64 ! [V_a,T_a] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__le__zero__iff,axiom,
% 190.45/190.64 ! [V_a_2,T_b] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 190.45/190.64 => ( 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)))
% 190.45/190.64 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__of__nonneg,axiom,
% 190.45/190.64 ! [V_a,T_a] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.64 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__of__pos,axiom,
% 190.45/190.64 ! [V_a,T_a] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.64 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_zero__less__abs__iff,axiom,
% 190.45/190.64 ! [V_a_2,T_b] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 190.45/190.64 => ( 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)))
% 190.45/190.64 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__not__less__zero,axiom,
% 190.45/190.64 ! [V_a,T_a] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 190.45/190.64 => ~ 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__triangle__ineq,axiom,
% 190.45/190.64 ! [V_b,V_a,T_a] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 190.45/190.64 => 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)))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__mult__less,axiom,
% 190.45/190.64 ! [V_d,V_b,V_c,V_a,T_a] :
% 190.45/190.64 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 190.45/190.64 => 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))) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_fst__apsnd,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__triangle__ineq3,axiom,
% 190.45/190.64 ! [V_b,V_a,T_a] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 190.45/190.64 => 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)))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__triangle__ineq2,axiom,
% 190.45/190.64 ! [V_b,V_a,T_a] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 190.45/190.64 => 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)))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__triangle__ineq2__sym,axiom,
% 190.45/190.64 ! [V_b,V_a,T_a] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 190.45/190.64 => 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)))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__le__D2,axiom,
% 190.45/190.64 ! [V_b,V_a,T_a] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__leI,axiom,
% 190.45/190.64 ! [V_b,V_a,T_a] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__le__iff,axiom,
% 190.45/190.64 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 190.45/190.64 => ( 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))
% 190.45/190.64 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 190.45/190.64 & 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)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__ge__minus__self,axiom,
% 190.45/190.64 ! [V_a,T_a] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_snd__apsnd,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_apsnd__eq__conv,axiom,
% 190.45/190.64 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] :
% 190.45/190.64 ( 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)
% 190.45/190.64 <=> 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__less__iff,axiom,
% 190.45/190.64 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.64 ( class_Rings_Olinordered__idom(T_b)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 190.45/190.64 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 190.45/190.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_nonzero__abs__divide,axiom,
% 190.45/190.64 ! [V_a,V_b,T_a] :
% 190.45/190.64 ( class_Fields_Olinordered__field(T_a)
% 190.45/190.64 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__power__minus,axiom,
% 190.45/190.64 ! [V_n,V_a,T_a] :
% 190.45/190.64 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.64 => 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__zmult__eq__1,axiom,
% 190.45/190.64 ! [V_n,V_m] :
% 190.45/190.64 ( 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)
% 190.45/190.64 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_pdivmod__def,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_mult__sgn__abs,axiom,
% 190.45/190.64 ! [V_x,T_a] :
% 190.45/190.64 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.64 => 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 ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__sgn,axiom,
% 190.45/190.64 ! [V_k,T_a] :
% 190.45/190.64 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.64 => 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_pdivmod__posDivAlg,axiom,
% 190.45/190.64 ! [V_k,V_l] :
% 190.45/190.64 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.64 => 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)) )
% 190.45/190.64 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__mult__pos,axiom,
% 190.45/190.64 ! [V_y,V_x,T_a] :
% 190.45/190.64 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__eq__mult,axiom,
% 190.45/190.64 ! [V_b,V_a,T_a] :
% 190.45/190.64 ( class_Rings_Oordered__ring__abs(T_a)
% 190.45/190.64 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.64 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 190.45/190.64 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.45/190.64 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__triangle__ineq4,axiom,
% 190.45/190.64 ! [V_b,V_a,T_a] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 190.45/190.64 => 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)))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__diff__triangle__ineq,axiom,
% 190.45/190.64 ! [V_d,V_c,V_b,V_a,T_a] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 190.45/190.64 => 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))))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__minus__le__zero,axiom,
% 190.45/190.64 ! [V_a,T_a] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__of__nonpos,axiom,
% 190.45/190.64 ! [V_a,T_a] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.64 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__if,axiom,
% 190.45/190.64 ! [V_a,T_a] :
% 190.45/190.64 ( class_Groups_Oabs__if(T_a)
% 190.45/190.64 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.64 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 190.45/190.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.64 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__of__neg,axiom,
% 190.45/190.64 ! [V_a,T_a] :
% 190.45/190.64 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.45/190.64 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_zero__le__power__abs,axiom,
% 190.45/190.64 ! [V_n,V_a,T_a] :
% 190.45/190.64 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__div__pos,axiom,
% 190.45/190.64 ! [V_x,V_y,T_a] :
% 190.45/190.64 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__minus__one,axiom,
% 190.45/190.64 ! [T_a] :
% 190.45/190.64 ( ( class_Int_Onumber__ring(T_a)
% 190.45/190.64 & class_Rings_Olinordered__idom(T_a) )
% 190.45/190.64 => 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) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_zabs__less__one__iff,axiom,
% 190.45/190.64 ! [V_z_2] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_zabs__def,axiom,
% 190.45/190.64 ! [V_i] :
% 190.45/190.64 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.64 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 190.45/190.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.45/190.64 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_nat__abs__mult__distrib,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_zero__le__zpower__abs,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_the__inv__into__f__f,axiom,
% 190.45/190.64 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.64 => 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 ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_the__inv__into__f__eq,axiom,
% 190.45/190.64 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.64 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.64 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__on__the__inv__into,axiom,
% 190.45/190.64 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.64 => 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_the__inv__into__onto,axiom,
% 190.45/190.64 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.64 => 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 ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_negateSnd__def,axiom,
% 190.45/190.64 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__number__of,axiom,
% 190.45/190.64 ! [V_x,T_a] :
% 190.45/190.64 ( ( class_Int_Onumber__ring(T_a)
% 190.45/190.64 & class_Rings_Olinordered__idom(T_a) )
% 190.45/190.64 => ( ( 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)))
% 190.45/190.64 => 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)) )
% 190.45/190.64 & ( ~ 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)))
% 190.45/190.64 => 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) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__power__minus__one,axiom,
% 190.45/190.64 ! [V_n,T_a] :
% 190.45/190.64 ( ( class_Int_Onumber__ring(T_a)
% 190.45/190.64 & class_Rings_Olinordered__idom(T_a) )
% 190.45/190.64 => 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) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_zero__less__zpower__abs__iff,axiom,
% 190.45/190.64 ! [V_na_2,V_x_2] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.64 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_the__inv__into__def,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_abs__power2,axiom,
% 190.45/190.64 ! [V_a,T_a] :
% 190.45/190.64 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.64 => 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)))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_power2__abs,axiom,
% 190.45/190.64 ! [V_a,T_a] :
% 190.45/190.64 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.64 => 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)))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_divmod__int__code,axiom,
% 190.45/190.64 ! [V_l_2,V_k_2] :
% 190.45/190.64 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.64 => 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)) )
% 190.45/190.64 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.64 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.64 => 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) )
% 190.45/190.64 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.64 => 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)))) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_f__the__inv__into__f,axiom,
% 190.45/190.64 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 190.45/190.64 => 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 ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_decr__lemma,axiom,
% 190.45/190.64 ! [V_z,V_x,V_d] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 190.45/190.64 => 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_apsnd__apfst,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_apfst__apsnd,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_apfst__conv,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_apfst__eq__conv,axiom,
% 190.45/190.64 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] :
% 190.45/190.64 ( 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)
% 190.45/190.64 <=> 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_fst__apfst,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_snd__apfst,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_apsnd__apfst__commute,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_nat__gcd_Osimps,axiom,
% 190.45/190.64 ! [V_x,V_y] :
% 190.45/190.64 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.64 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 190.45/190.64 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_nat__gcd_Opsimps,axiom,
% 190.45/190.64 ! [V_y_2,V_x_2] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.64 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 190.45/190.64 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.64 => 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)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_compl__unique,axiom,
% 190.45/190.64 ! [V_y,V_x,T_a] :
% 190.45/190.64 ( class_Lattices_Oboolean__algebra(T_a)
% 190.45/190.64 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 190.45/190.64 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 190.45/190.64 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 190.45/190.64 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 190.45/190.64 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.64 & class_Groups_Ocomm__monoid__mult(T_b) )
% 190.45/190.64 => ( V_A_2 = V_B_2
% 190.45/190.64 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 190.45/190.64 => ( ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 190.45/190.64 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 190.45/190.64 => 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) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UNIV__I,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_top__greatest,axiom,
% 190.45/190.64 ! [V_x,T_a] :
% 190.45/190.64 ( class_Orderings_Otop(T_a)
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_range__composition,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Int__UNIV__right,axiom,
% 190.45/190.64 ! [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 ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Int__UNIV__left,axiom,
% 190.45/190.64 ! [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 ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__Prod__UNIV,axiom,
% 190.45/190.64 ! [T_c,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 190.45/190.64 => 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)))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__option__UNIV,axiom,
% 190.45/190.64 ! [T_b] :
% 190.45/190.64 ( 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))))
% 190.45/190.64 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__fun__UNIVD2,axiom,
% 190.45/190.64 ! [T_c,T_b] :
% 190.45/190.64 ( 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))))
% 190.45/190.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__UNIV,axiom,
% 190.45/190.64 ! [T_b] :
% 190.45/190.64 ( class_Finite__Set_Ofinite(T_b)
% 190.45/190.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_subset__UNIV,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UNIV__not__empty,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Un__UNIV__left,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Un__UNIV__right,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_top__apply,axiom,
% 190.45/190.64 ! [V_x_2,T_c,T_b] :
% 190.45/190.64 ( class_Orderings_Otop(T_b)
% 190.45/190.64 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UNIV__Plus__UNIV,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Pow__UNIV,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_card__UNIV__unit,axiom,
% 190.45/190.64 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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__Plus__UNIV__iff,axiom,
% 190.45/190.64 ! [T_c,T_b] :
% 190.45/190.64 ( 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))))
% 190.45/190.64 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 190.45/190.64 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_infinite__UNIV__nat,axiom,
% 190.45/190.64 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_equiv__intrel,axiom,
% 190.45/190.64 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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__int,axiom,
% 190.45/190.64 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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_injD,axiom,
% 190.45/190.64 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.64 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 190.45/190.64 => V_x_2 = V_y_2 ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__eq,axiom,
% 190.45/190.64 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.64 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 190.45/190.64 <=> V_x_2 = V_y_2 ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_infinite__UNIV__int,axiom,
% 190.45/190.64 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_sup__top__left,axiom,
% 190.45/190.64 ! [V_x,T_a] :
% 190.45/190.64 ( class_Lattices_Obounded__lattice__top(T_a)
% 190.45/190.64 => 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) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_sup__top__right,axiom,
% 190.45/190.64 ! [V_x,T_a] :
% 190.45/190.64 ( class_Lattices_Obounded__lattice__top(T_a)
% 190.45/190.64 => 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) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inf__top__left,axiom,
% 190.45/190.64 ! [V_x,T_a] :
% 190.45/190.64 ( class_Lattices_Obounded__lattice__top(T_a)
% 190.45/190.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inf__top__right,axiom,
% 190.45/190.64 ! [V_x,T_a] :
% 190.45/190.64 ( class_Lattices_Obounded__lattice__top(T_a)
% 190.45/190.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inf__eq__top__iff,axiom,
% 190.45/190.64 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.64 ( class_Lattices_Obounded__lattice__top(T_b)
% 190.45/190.64 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b)
% 190.45/190.64 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b)
% 190.45/190.64 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__lessThan__UNIV,axiom,
% 190.45/190.64 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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__atMost__UNIV,axiom,
% 190.45/190.64 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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_range__eqI,axiom,
% 190.45/190.64 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] :
% 190.45/190.64 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 190.45/190.64 => 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))))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rangeI,axiom,
% 190.45/190.64 ! [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))))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__atLeast__UNIV,axiom,
% 190.45/190.64 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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Diff__UNIV,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 190.45/190.64 ! [V_A_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 190.45/190.64 => ( 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)))
% 190.45/190.64 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__image__eq__iff,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.64 => ( 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)
% 190.45/190.64 <=> V_A_2 = V_B_2 ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Compl__UNIV__eq,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Compl__empty__eq,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__compl,axiom,
% 190.45/190.64 ! [V_A_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 190.45/190.64 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Compl__partition2,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Compl__partition,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_SUP__UN__eq,axiom,
% 190.45/190.64 ! [V_x_2,V_r_2,T_c,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 <=> 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__range__imageI,axiom,
% 190.45/190.64 ! [V_f_2,T_d,V_g_2,T_c,T_b] :
% 190.45/190.64 ( 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)))))
% 190.45/190.64 => 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))))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_the__inv__f__f,axiom,
% 190.45/190.64 ! [V_x_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.64 => 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 ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__fun__UNIVD1,axiom,
% 190.45/190.64 ! [T_c,T_b] :
% 190.45/190.64 ( 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))))
% 190.45/190.64 => ( 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))
% 190.45/190.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__of__nat,axiom,
% 190.45/190.64 ! [T_b] :
% 190.45/190.64 ( class_Nat_Osemiring__char__0(T_b)
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_atLeast__0,axiom,
% 190.45/190.64 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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__fun,axiom,
% 190.45/190.64 ! [T_d,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_compl__bot__eq,axiom,
% 190.45/190.64 ! [T_a] :
% 190.45/190.64 ( class_Lattices_Oboolean__algebra(T_a)
% 190.45/190.64 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_compl__top__eq,axiom,
% 190.45/190.64 ! [T_a] :
% 190.45/190.64 ( class_Lattices_Oboolean__algebra(T_a)
% 190.45/190.64 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_compl__sup__top,axiom,
% 190.45/190.64 ! [V_x,T_a] :
% 190.45/190.64 ( class_Lattices_Oboolean__algebra(T_a)
% 190.45/190.64 => 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) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_sup__compl__top,axiom,
% 190.45/190.64 ! [V_x,T_a] :
% 190.45/190.64 ( class_Lattices_Oboolean__algebra(T_a)
% 190.45/190.64 => 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) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_range__ex1__eq,axiom,
% 190.45/190.64 ! [V_b_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.64 => ( 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)))))
% 190.45/190.64 <=> ? [B_x] :
% 190.45/190.64 ( V_b_2 = hAPP(V_f_2,B_x)
% 190.45/190.64 & ! [B_y] :
% 190.45/190.64 ( V_b_2 = hAPP(V_f_2,B_y)
% 190.45/190.64 => B_y = B_x ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__image__mem__iff,axiom,
% 190.45/190.64 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.64 => ( 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)))
% 190.45/190.64 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__UNIV__surj__inj,axiom,
% 190.45/190.64 ! [V_f_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 190.45/190.64 => ( 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))
% 190.45/190.64 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__UNIV__inj__surj,axiom,
% 190.45/190.64 ! [V_f_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 190.45/190.64 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__image__subset__iff,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.64 => ( 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)))
% 190.45/190.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_image__Int,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.64 => 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_image__set__diff,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.64 => 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_surj__Compl__image__subset,axiom,
% 190.45/190.64 ! [V_A_2,V_f_2,T_b,T_c] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => 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)))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__UN__finite__eq,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__singleton,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__UNIV__card__ge__0,axiom,
% 190.45/190.64 ! [T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 190.45/190.64 => 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))))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_card__UNIV__bool,axiom,
% 190.45/190.64 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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__image__Compl__subset,axiom,
% 190.45/190.64 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.64 => 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)))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_greaterThan__0,axiom,
% 190.45/190.64 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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_SUP__UN__eq2,axiom,
% 190.45/190.64 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 <=> 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_nat__gcd_Opinduct,axiom,
% 190.45/190.64 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => ( ! [B_x,B_y] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.64 => hBOOL(hAPP(hAPP(V_Pa_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 190.45/190.64 => hBOOL(hAPP(hAPP(V_Pa_2,B_x),B_y)) ) )
% 190.45/190.64 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__finite2__subset,axiom,
% 190.45/190.64 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 190.45/190.64 ( ! [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)))
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__finite2__eq,axiom,
% 190.45/190.64 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 190.45/190.64 ( ! [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)
% 190.45/190.64 => 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) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_top1I,axiom,
% 190.45/190.64 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Integ__def,axiom,
% 190.45/190.64 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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__finite__subset,axiom,
% 190.45/190.64 ! [V_C_2,V_A_2,T_b] :
% 190.45/190.64 ( ! [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))
% 190.45/190.64 => 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_iso__tuple__UNIV__I,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Rep__Integ,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_equivp__equiv,axiom,
% 190.45/190.64 ! [V_A_2,T_b] :
% 190.45/190.64 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 190.45/190.64 <=> 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_type__definition__Integ,axiom,
% 190.45/190.64 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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__vimage__singleton,axiom,
% 190.45/190.64 ! [V_a_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.64 => 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))))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimageI,axiom,
% 190.45/190.64 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] :
% 190.45/190.64 ( hAPP(V_f_2,V_a_2) = V_b_2
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_equivp__transp,axiom,
% 190.45/190.64 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 190.45/190.64 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 190.45/190.64 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_equivp__symp,axiom,
% 190.45/190.64 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 190.45/190.64 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 190.45/190.64 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_equivp__reflp,axiom,
% 190.45/190.64 ! [V_x_2,V_R_2,T_b] :
% 190.45/190.64 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 190.45/190.64 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_equivp__def,axiom,
% 190.45/190.64 ! [V_R_2,T_b] :
% 190.45/190.64 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 190.45/190.64 <=> ! [B_x,B_y] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 190.45/190.64 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_identity__equivp,axiom,
% 190.45/190.64 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimage__Compl,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimage__code,axiom,
% 190.45/190.64 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2))
% 190.45/190.64 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimage__Un,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimage__empty,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimage__mono,axiom,
% 190.45/190.64 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimage__eq,axiom,
% 190.45/190.64 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)))
% 190.45/190.64 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimageD,axiom,
% 190.45/190.64 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimageI2,axiom,
% 190.45/190.64 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimage__Int,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimage__ident,axiom,
% 190.45/190.64 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimage__Diff,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimage__UN,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimage__UNIV,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_image__vimage__subset,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_surj__image__vimage__eq,axiom,
% 190.45/190.64 ! [V_A_2,V_f_2,T_b,T_c] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => 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 ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimage__singleton__eq,axiom,
% 190.45/190.64 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] :
% 190.45/190.64 ( 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))))))
% 190.45/190.64 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimage__insert,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__vimageD,axiom,
% 190.45/190.64 ! [V_F_2,V_h_2,T_c,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 190.45/190.64 => ( 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))
% 190.45/190.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimage__subsetD,axiom,
% 190.45/190.64 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => ( 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))
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_image__vimage__eq,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__vimageI,axiom,
% 190.45/190.64 ! [V_h_2,T_c,V_F_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 190.45/190.64 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 190.45/190.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__vimage__image__eq,axiom,
% 190.45/190.64 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.64 => 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 ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimage__const,axiom,
% 190.45/190.64 ! [T_c,V_A_2,V_c_2,T_b] :
% 190.45/190.64 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.45/190.64 => 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)) )
% 190.45/190.64 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimage__eq__UN,axiom,
% 190.45/190.64 ! [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))))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimage__subsetI,axiom,
% 190.45/190.64 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.64 => ( 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)))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimage__if,axiom,
% 190.45/190.64 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] :
% 190.45/190.64 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.45/190.64 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 190.45/190.64 => 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)) )
% 190.45/190.64 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 190.45/190.64 => 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 ) ) )
% 190.45/190.64 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.45/190.64 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 190.45/190.64 => 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) )
% 190.45/190.64 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 190.45/190.64 => 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)) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_type__definition_ORep__range,axiom,
% 190.45/190.64 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 190.45/190.64 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 190.45/190.64 => 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 ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_type__definition_OAbs__image,axiom,
% 190.45/190.64 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 190.45/190.64 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 190.45/190.64 => 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_type__definition_ORep,axiom,
% 190.45/190.64 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 190.45/190.64 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_type__definition_ORep__inject,axiom,
% 190.45/190.64 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 190.45/190.64 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 190.45/190.64 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 190.45/190.64 <=> V_x_2 = V_y_2 ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_type__definition_ORep__inverse,axiom,
% 190.45/190.64 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 190.45/190.64 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 190.45/190.64 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_type__definition_OAbs__inject,axiom,
% 190.45/190.64 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 190.45/190.64 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 190.45/190.64 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 190.45/190.64 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_type__definition_OAbs__inverse,axiom,
% 190.45/190.64 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 190.45/190.64 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 190.45/190.64 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_accp__acc__eq,axiom,
% 190.45/190.64 ! [V_x_2,V_r_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_max__extp_Oequations,axiom,
% 190.45/190.64 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 190.45/190.64 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 190.45/190.64 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 190.45/190.64 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 & ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 190.45/190.64 => ? [B_xa] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 190.45/190.64 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_max__ext_Ointros,axiom,
% 190.45/190.64 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 190.45/190.64 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => ( ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 190.45/190.64 => ? [B_xa] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 190.45/190.64 & 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)) ) )
% 190.45/190.64 => 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))) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_acc__subset,axiom,
% 190.45/190.64 ! [V_R2_2,V_R1_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_acc__downward,axiom,
% 190.45/190.64 ! [V_a_2,V_r_2,V_b_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 190.45/190.64 => ( 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))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_acc_Osimps,axiom,
% 190.45/190.64 ! [V_r_2,V_a_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 190.45/190.64 <=> ! [B_x] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_insert__fold1SetE,axiom,
% 190.45/190.64 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => ~ ! [B_a,B_A] :
% 190.45/190.64 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_fold1Set_Oequations,axiom,
% 190.45/190.64 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 <=> ? [B_a,B_A] :
% 190.45/190.64 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 190.45/190.64 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2))
% 190.45/190.64 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Nitpick_Oone__frac__def,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Nitpick_Ofrac__def,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_image__split__eq__Sigma,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_nat0__intermed__int__val,axiom,
% 190.45/190.64 ! [V_k_2,V_f_2,V_na_2] :
% 190.45/190.64 ( ! [B_i] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2))
% 190.45/190.64 => 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))) )
% 190.45/190.64 => ( 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))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2)))
% 190.45/190.64 => ? [B_i] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2))
% 190.45/190.64 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_int__val__lemma,axiom,
% 190.45/190.64 ! [V_k_2,V_f_2,V_na_2] :
% 190.45/190.64 ( ! [B_i] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2))
% 190.45/190.64 => 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))) )
% 190.45/190.64 => ( 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))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2)))
% 190.45/190.64 => ? [B_i] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2))
% 190.45/190.64 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_SigmaI,axiom,
% 190.45/190.64 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Times__eq__cancel2,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 190.45/190.64 => ( 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))
% 190.45/190.64 <=> V_A_2 = V_B_2 ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Sigma__Diff__distrib1,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Times__Diff__distrib1,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Sigma__Diff__distrib2,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Sigma__empty1,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_card__cartesian__product,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_setsum__cartesian__product,axiom,
% 190.45/190.64 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 190.45/190.64 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Times__empty,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,T_c,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Sigma__empty2,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Compl__Times__UNIV2,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Compl__Times__UNIV1,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_setprod__cartesian__product,axiom,
% 190.45/190.64 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 190.45/190.64 ( class_Groups_Ocomm__monoid__mult(T_b)
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Sigma__Un__distrib1,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Times__Un__distrib1,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Sigma__Un__distrib2,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_swap__product,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__cartesian__product,axiom,
% 190.45/190.64 ! [V_B_2,T_c,V_A_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 190.45/190.64 => 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)))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_equiv__type,axiom,
% 190.45/190.64 ! [V_r_2,V_A_2,T_b] :
% 190.45/190.64 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 190.45/190.64 => 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)))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Sigma__Int__distrib2,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Times__Int__distrib1,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Sigma__Int__distrib1,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Id__on__subset__Times,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UNIV__Times__UNIV,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_mem__Sigma__iff,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.64 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_SigmaD1,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_SigmaD2,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_SigmaE2,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.64 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_card__cartesian__product__singleton,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Times__subset__cancel2,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 190.45/190.64 => ( 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))))
% 190.45/190.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Image__subset,axiom,
% 190.45/190.64 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 190.45/190.64 ( 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))))
% 190.45/190.64 => 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__cartesian__productD2,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,T_c,T_b] :
% 190.45/190.64 ( 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))))
% 190.45/190.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__cartesian__productD1,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,T_c,T_b] :
% 190.45/190.64 ( 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))))
% 190.45/190.64 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 190.45/190.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_fst__image__times,axiom,
% 190.45/190.64 ! [V_A_2,T_c,T_b,V_B_2] :
% 190.45/190.64 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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)) )
% 190.45/190.64 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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 ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_snd__image__times,axiom,
% 190.45/190.64 ! [V_B_2,T_c,T_b,V_A_2] :
% 190.45/190.64 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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)) )
% 190.45/190.64 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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 ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_insert__times__insert,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__equiv__class,axiom,
% 190.45/190.64 ! [V_X_2,V_r_2,V_A_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( 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))))
% 190.45/190.64 => ( 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)))
% 190.45/190.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__Times__distrib,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Sigma__def,axiom,
% 190.45/190.64 ! [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))))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__quotient,axiom,
% 190.45/190.64 ! [V_r_2,V_A_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( 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))))
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 190.45/190.64 ! [V_A_2,V_I_2,T_c,T_b] :
% 190.45/190.64 ? [B_f] :
% 190.45/190.64 ( 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))
% 190.45/190.64 & 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_fold__image__Sigma,axiom,
% 190.45/190.64 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 190.45/190.64 ( class_Groups_Ocomm__monoid__mult(T_d)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 190.45/190.64 => 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)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__SigmaI,axiom,
% 190.45/190.64 ! [V_B_2,T_c,V_A_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( ! [B_a] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 190.45/190.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_setprod__Sigma,axiom,
% 190.45/190.64 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 190.45/190.64 ( class_Groups_Ocomm__monoid__mult(T_d)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 190.45/190.64 => 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)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_setsum__Sigma,axiom,
% 190.45/190.64 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 190.45/190.64 ( class_Groups_Ocomm__monoid__add(T_d)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 190.45/190.64 => 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)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_card__SigmaI,axiom,
% 190.45/190.64 ! [V_B_2,T_c,V_A_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 190.45/190.64 => 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) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_SigmaE,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => ~ ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.64 => ! [B_y] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x)))
% 190.45/190.64 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_map__pair__surj,axiom,
% 190.45/190.64 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => ( 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))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_map__pair__inj__on,axiom,
% 190.45/190.64 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.64 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2)
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_map__pair__imageI,axiom,
% 190.45/190.64 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_fst__map__pair,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_map__pair__simp,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_map__pair__ident,axiom,
% 190.45/190.64 ! [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 ).
% 190.45/190.64
% 190.45/190.64 fof(fact_snd__prod__fun,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_map__pair__def,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_map__pair__surj__on,axiom,
% 190.45/190.64 ! [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] :
% 190.45/190.64 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 190.45/190.64 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_prod__fun__imageE,axiom,
% 190.45/190.64 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => ~ ! [B_x,B_y] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => ~ 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_refl__on__def,axiom,
% 190.45/190.64 ! [V_r_2,V_A_2,T_b] :
% 190.45/190.64 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 190.45/190.64 <=> ( 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))))
% 190.45/190.64 & ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.64 => 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)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_setprod__pos__nat,axiom,
% 190.45/190.64 ! [V_f_2,V_S_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 190.45/190.64 => ( ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 190.45/190.64 => 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))) )
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_refl__on__Id__on,axiom,
% 190.45/190.64 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_refl__on__empty,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_refl__on__Un,axiom,
% 190.45/190.64 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 190.45/190.64 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 190.45/190.64 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_refl__on__Int,axiom,
% 190.45/190.64 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 190.45/190.64 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 190.45/190.64 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_refl__onD,axiom,
% 190.45/190.64 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 190.45/190.64 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_refl__onD1,axiom,
% 190.45/190.64 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 190.45/190.64 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 190.45/190.64 => ( 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))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_refl__onD2,axiom,
% 190.45/190.64 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 190.45/190.64 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 190.45/190.64 => ( 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))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_refl__onI,axiom,
% 190.45/190.64 ! [V_A_2,V_r_2,T_b] :
% 190.45/190.64 ( 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))))
% 190.45/190.64 => ( ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.64 => 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)) )
% 190.45/190.64 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Rep__Integ__cases,axiom,
% 190.45/190.64 ! [V_y_2] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 190.45/190.64 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Rep__Integ__induct,axiom,
% 190.45/190.64 ! [V_Pa_2,V_y_2] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 190.45/190.64 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Int_ORep__Integ,B_x)))
% 190.45/190.64 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 190.45/190.64 => ( ! [B_x] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => hAPP(V_g_2,B_x) = V_z_2 )
% 190.45/190.64 => 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)) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_card__less__Suc,axiom,
% 190.45/190.64 ! [V_i_2,V_M_2] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 190.45/190.64 => 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))))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_card__less,axiom,
% 190.45/190.64 ! [V_i_2,V_M_2] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 190.45/190.64 => 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) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_CollectI,axiom,
% 190.45/190.64 ! [T_b,V_a_2,V_Pa_2] :
% 190.45/190.64 ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__Collect__conjI,axiom,
% 190.45/190.64 ! [V_Q_2,V_Pa_2,T_b] :
% 190.45/190.64 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 190.45/190.64 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) )
% 190.45/190.64 => 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)))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__Collect__less__nat,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__Collect__le__nat,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_SetCompr__Sigma__eq,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Collect__split,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Collect__neg__eq,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Collect__mem__eq,axiom,
% 190.45/190.64 ! [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 ).
% 190.45/190.64
% 190.45/190.64 fof(fact_mem__Collect__eq,axiom,
% 190.45/190.64 ! [V_Pa_2,V_a_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 190.45/190.64 <=> hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_CollectD,axiom,
% 190.45/190.64 ! [V_Pa_2,V_a_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 190.45/190.64 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_CollectE,axiom,
% 190.45/190.64 ! [V_Pa_2,V_a_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 190.45/190.64 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimage__Collect__eq,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UNIV__def,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__Collect__disjI,axiom,
% 190.45/190.64 ! [V_Q_2,V_Pa_2,T_b] :
% 190.45/190.64 ( 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))))
% 190.45/190.64 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 190.45/190.64 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Collect__disj__eq,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Collect__conj__eq,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_empty__Collect__eq,axiom,
% 190.45/190.64 ! [V_Pa_2,T_b] :
% 190.45/190.64 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_Pa_2)
% 190.45/190.64 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Collect__empty__eq,axiom,
% 190.45/190.64 ! [V_Pa_2,T_b] :
% 190.45/190.64 ( hAPP(c_Set_OCollect(T_b),V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Collect__def,axiom,
% 190.45/190.64 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),V_Pa_2) = V_Pa_2 ).
% 190.45/190.64
% 190.45/190.64 fof(fact_insert__Collect,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_empty__def,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_insert__compr,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_insert__compr__raw,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Un__def,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Int__Collect,axiom,
% 190.45/190.64 ! [V_Pa_2,V_A_2,V_x_2,T_b] :
% 190.45/190.64 ( 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))))
% 190.45/190.64 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.64 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Int__def,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_singleton__conv2,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_singleton__conv,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Collect__conv__if2,axiom,
% 190.45/190.64 ! [T_b,V_a_2,V_Pa_2] :
% 190.45/190.64 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 190.45/190.64 => 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))) )
% 190.45/190.64 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Collect__conv__if,axiom,
% 190.45/190.64 ! [T_b,V_a_2,V_Pa_2] :
% 190.45/190.64 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 190.45/190.64 => 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))) )
% 190.45/190.64 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_set__diff__eq,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__Collect__not,axiom,
% 190.45/190.64 ! [V_Pa_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 190.45/190.64 => ( 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))))
% 190.45/190.64 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_insert__def,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Compl__eq,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimage__def,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Collect__imp__eq,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__M__bounded__by__nat,axiom,
% 190.45/190.64 ! [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))))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_setsum__setsum__restrict,axiom,
% 190.45/190.64 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] :
% 190.45/190.64 ( class_Groups_Ocomm__monoid__add(T_d)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 190.45/190.64 => 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) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_if__image__distrib,axiom,
% 190.45/190.64 ! [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))))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_nat__seg__image__imp__finite,axiom,
% 190.45/190.64 ! [V_na_2,V_f_2,T_b,V_A_2] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_setsum__restrict__set_H,axiom,
% 190.45/190.64 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 190.45/190.64 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => 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) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_setsum__image__gen,axiom,
% 190.45/190.64 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] :
% 190.45/190.64 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Image__singleton,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_setsum__cases,axiom,
% 190.45/190.64 ! [V_g_2,V_f_2,V_Pa_2,V_A_2,T_b,T_c] :
% 190.45/190.64 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => 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))))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_card__less__Suc2,axiom,
% 190.45/190.64 ! [V_i_2,V_M_2] :
% 190.45/190.64 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 190.45/190.64 => 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))))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_setsum__multicount,axiom,
% 190.45/190.64 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 190.45/190.64 => ( ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2))
% 190.45/190.64 => 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 )
% 190.45/190.64 => 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)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 190.45/190.64 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.64 ( class_Orderings_Olinorder(T_b)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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))))) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.64 ( class_Orderings_Olinorder(T_b)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.64 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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))))))) ) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__Collect__subsets,axiom,
% 190.45/190.64 ! [V_A_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => 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)))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Pow__Compl,axiom,
% 190.45/190.64 ! [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))))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Pow__def,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__image__set,axiom,
% 190.45/190.64 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 190.45/190.64 => 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))))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__Collect__bounded__ex,axiom,
% 190.45/190.64 ! [V_Q_2,T_c,V_Pa_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 190.45/190.64 => ( 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)))))
% 190.45/190.64 <=> ! [B_y] :
% 190.45/190.64 ( hBOOL(hAPP(V_Pa_2,B_y))
% 190.45/190.64 => 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)))) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__graph,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__psubset__def,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inv__image__def,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_add__Max__commute,axiom,
% 190.45/190.64 ! [V_k_2,V_N_2,T_b] :
% 190.45/190.64 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 190.45/190.64 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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))))) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_add__Min__commute,axiom,
% 190.45/190.64 ! [V_k_2,V_N_2,T_b] :
% 190.45/190.64 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 190.45/190.64 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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))))) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_sup__Inf2__distrib,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.64 ( class_Lattices_Odistrib__lattice(T_b)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.64 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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))))))) ) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_sup__Inf1__distrib,axiom,
% 190.45/190.64 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.64 ( class_Lattices_Odistrib__lattice(T_b)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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))))) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inf__Sup2__distrib,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.64 ( class_Lattices_Odistrib__lattice(T_b)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.64 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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))))))) ) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inf__Sup1__distrib,axiom,
% 190.45/190.64 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.64 ( class_Lattices_Odistrib__lattice(T_b)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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))))) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.64 ( class_Orderings_Olinorder(T_b)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.64 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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))))))) ) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 190.45/190.64 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.64 ( class_Orderings_Olinorder(T_b)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 => 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))))) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Nitpick_Oprod__def,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_int__ge__less__than__def,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_int__ge__less__than2__def,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_reflp__def,axiom,
% 190.45/190.64 ! [V_r_2,T_b] :
% 190.45/190.64 ( c_Predicate_Oreflp(T_b,V_r_2)
% 190.45/190.64 <=> 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] :
% 190.45/190.64 ( class_Rings_Osemiring__0(T_d)
% 190.45/190.64 => ( 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)))
% 190.45/190.64 => 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))))))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_setsum__multicount__gen,axiom,
% 190.45/190.64 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2))
% 190.45/190.64 => ( ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2))
% 190.45/190.64 => 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) )
% 190.45/190.64 => 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) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__on__id,axiom,
% 190.45/190.64 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_reflpE,axiom,
% 190.45/190.64 ! [V_x_2,V_r_2,T_b] :
% 190.45/190.64 ( c_Predicate_Oreflp(T_b,V_r_2)
% 190.45/190.64 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_id__def,axiom,
% 190.45/190.64 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 190.45/190.64
% 190.45/190.64 fof(fact_id__apply,axiom,
% 190.45/190.64 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 190.45/190.64
% 190.45/190.64 fof(fact_apfst__id,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_apsnd__id,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimage__id,axiom,
% 190.45/190.64 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ).
% 190.45/190.64
% 190.45/190.64 fof(fact_map__pair_Oidentity,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_map__pair_Oid,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_image__id,axiom,
% 190.45/190.64 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ).
% 190.45/190.64
% 190.45/190.64 fof(fact_of__int__eq__id,axiom,
% 190.45/190.64 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_surj__id,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_apfst__def,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_apsnd__def,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_split__Pair,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_setsum__reindex__id,axiom,
% 190.45/190.64 ! [V_B_2,V_f_2,T_b,T_c] :
% 190.45/190.64 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.64 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_setprod__reindex__id,axiom,
% 190.45/190.64 ! [V_B_2,V_f_2,T_b,T_c] :
% 190.45/190.64 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.64 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__conv__nat__seg__image,axiom,
% 190.45/190.64 ! [V_A_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 <=> ? [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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rel__comp__def,axiom,
% 190.45/190.64 ! [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))))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Range__Collect__split,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rel__compI,axiom,
% 190.45/190.64 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => ( 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))
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_RangeI,axiom,
% 190.45/190.64 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rel__comp__UNION__distrib,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rel__comp__UNION__distrib2,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Range__Id__on,axiom,
% 190.45/190.64 ! [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 ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rel__comp__mono,axiom,
% 190.45/190.64 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => ( 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))
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rel__comp__empty1,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rel__comp__empty2,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_O__assoc,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rel__comp__distrib2,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rel__comp__distrib,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_union__comp__emptyL,axiom,
% 190.45/190.64 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => ( 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))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_union__comp__emptyR,axiom,
% 190.45/190.64 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => ( 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))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Range__empty__iff,axiom,
% 190.45/190.64 ! [V_r_2,T_b,T_c] :
% 190.45/190.64 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Range__empty,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rel__comp__subset__Sigma,axiom,
% 190.45/190.64 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 190.45/190.64 ( 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))))
% 190.45/190.64 => ( 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))))
% 190.45/190.64 => 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)))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Range__Un__eq,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__Range,axiom,
% 190.45/190.64 ! [V_r_2,T_c,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 190.45/190.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_snd__eq__Range,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Range__iff,axiom,
% 190.45/190.64 ! [V_r_2,T_c,V_a_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 190.45/190.64 <=> ? [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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Range__insert,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Range__Int__subset,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Range__Diff__subset,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_max__ext__compat,axiom,
% 190.45/190.64 ! [V_S_2,V_R_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_min__ext__compat,axiom,
% 190.45/190.64 ! [V_S_2,V_R_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_RangeP__Range__eq,axiom,
% 190.45/190.64 ! [V_x_2,V_r_2,T_c,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_RangeE,axiom,
% 190.45/190.64 ! [V_r_2,T_c,V_b_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 190.45/190.64 => ~ ! [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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_pred__comp__rel__comp__eq,axiom,
% 190.45/190.64 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 <=> 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_pred__comp_Ointros,axiom,
% 190.45/190.64 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_RangeP_Ointros,axiom,
% 190.45/190.64 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 190.45/190.64 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_pred__comp_Oequations,axiom,
% 190.45/190.64 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 <=> ? [B_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 190.45/190.64 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_RangeP_Oequations,axiom,
% 190.45/190.64 ! [V_a2_2,V_r_2,T_c,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2))
% 190.45/190.64 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_reduction__pairI,axiom,
% 190.45/190.64 ! [V_S_2,V_R_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_R_2)
% 190.45/190.64 => ( 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))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Domain__Collect__split,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_pigeonhole__infinite,axiom,
% 190.45/190.64 ! [V_f_2,T_c,V_A_2,T_b] :
% 190.45/190.64 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 190.45/190.64 => ? [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.64 & ~ 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)))))) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__less__than,axiom,
% 190.45/190.64 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__empty,axiom,
% 190.45/190.64 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__inv__image,axiom,
% 190.45/190.64 ! [V_f_2,T_c,V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_r_2)
% 190.45/190.64 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__lex__prod,axiom,
% 190.45/190.64 ! [V_rb_2,T_c,V_ra_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_ra_2)
% 190.45/190.64 => ( c_Wellfounded_Owf(T_c,V_rb_2)
% 190.45/190.64 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__measure,axiom,
% 190.45/190.64 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_DomainI,axiom,
% 190.45/190.64 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__comp__self,axiom,
% 190.45/190.64 ! [V_R_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_R_2)
% 190.45/190.64 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_min__ext__wf,axiom,
% 190.45/190.64 ! [V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_r_2)
% 190.45/190.64 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__subset,axiom,
% 190.45/190.64 ! [V_p_2,V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_r_2)
% 190.45/190.64 => ( 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))
% 190.45/190.64 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__finite__psubset,axiom,
% 190.45/190.64 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Domain__Id__on,axiom,
% 190.45/190.64 ! [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 ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__pair__less,axiom,
% 190.45/190.64 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__Int2,axiom,
% 190.45/190.64 ! [V_r_H_2,V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_r_2)
% 190.45/190.64 => 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__Int1,axiom,
% 190.45/190.64 ! [V_r_H_2,V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_r_2)
% 190.45/190.64 => 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_max__ext__wf,axiom,
% 190.45/190.64 ! [V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_r_2)
% 190.45/190.64 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__mlex,axiom,
% 190.45/190.64 ! [V_f_2,V_R_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_R_2)
% 190.45/190.64 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__less,axiom,
% 190.45/190.64 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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__irrefl,axiom,
% 190.45/190.64 ! [V_a_2,V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_r_2)
% 190.45/190.64 => ~ 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__asym,axiom,
% 190.45/190.64 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_r_2)
% 190.45/190.64 => ( 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))
% 190.45/190.64 => ~ 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__not__sym,axiom,
% 190.45/190.64 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_r_2)
% 190.45/190.64 => ( 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))
% 190.45/190.64 => ~ 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__not__refl,axiom,
% 190.45/190.64 ! [V_a_2,V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_r_2)
% 190.45/190.64 => ~ 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__int__ge__less__than,axiom,
% 190.45/190.64 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__int__ge__less__than2,axiom,
% 190.45/190.64 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__Un,axiom,
% 190.45/190.64 ! [V_s_2,V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_r_2)
% 190.45/190.64 => ( c_Wellfounded_Owf(T_b,V_s_2)
% 190.45/190.64 => ( 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))
% 190.45/190.64 => 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)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_acc__wfD,axiom,
% 190.45/190.64 ! [V_x_2,V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_r_2)
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__acc__iff,axiom,
% 190.45/190.64 ! [V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_r_2)
% 190.45/190.64 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__no__loop,axiom,
% 190.45/190.64 ! [V_R_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__union__merge,axiom,
% 190.45/190.64 ! [V_S_2,V_R_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 <=> 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Domain__empty,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Domain__empty__iff,axiom,
% 190.45/190.64 ! [V_r_2,T_c,T_b] :
% 190.45/190.64 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Domain__mono,axiom,
% 190.45/190.64 ! [V_s_2,V_r_2,T_c,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Domain__Un__eq,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__Domain,axiom,
% 190.45/190.64 ! [V_r_2,T_c,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 190.45/190.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_fst__eq__Domain,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 190.45/190.64 ! [V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_r_2)
% 190.45/190.64 <=> ~ ? [B_f] :
% 190.45/190.64 ! [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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wfE__pf,axiom,
% 190.45/190.64 ! [V_A_2,V_R_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_R_2)
% 190.45/190.64 => ( 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)))
% 190.45/190.64 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__union__compatible,axiom,
% 190.45/190.64 ! [V_S_2,V_R_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_R_2)
% 190.45/190.64 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 190.45/190.64 => ( 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))
% 190.45/190.64 => 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)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Domain__iff,axiom,
% 190.45/190.64 ! [V_r_2,T_c,V_a_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 190.45/190.64 <=> ? [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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf,axiom,
% 190.45/190.64 ! [T_b] :
% 190.45/190.64 ( class_Orderings_Owellorder(T_b)
% 190.45/190.64 => 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)))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Domain__insert,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_reduction__pair__def,axiom,
% 190.45/190.64 ! [V_Pa_2,T_b] :
% 190.45/190.64 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 190.45/190.64 <=> ( 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))
% 190.45/190.64 & 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_reduction__pair__lemma,axiom,
% 190.45/190.64 ! [V_S_2,V_R_2,V_Pa_2,T_b] :
% 190.45/190.64 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 190.45/190.64 => ( 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)))
% 190.45/190.64 => ( 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)))
% 190.45/190.64 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 190.45/190.64 => 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)) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Domain__Int__subset,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Domain__Diff__subset,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Field__def,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__map__pair__image,axiom,
% 190.45/190.64 ! [V_f_2,T_c,V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_r_2)
% 190.45/190.64 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_DomainP__Domain__eq,axiom,
% 190.45/190.64 ! [V_x_2,V_r_2,T_c,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__lenlex,axiom,
% 190.45/190.64 ! [V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_r_2)
% 190.45/190.64 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_DomainE,axiom,
% 190.45/190.64 ! [V_r_2,T_c,V_a_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 190.45/190.64 => ~ ! [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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_DomainP_Ointros,axiom,
% 190.45/190.64 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 190.45/190.64 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_DomainP_Oequations,axiom,
% 190.45/190.64 ! [V_a1_2,V_r_2,T_c,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2))
% 190.45/190.64 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_pred__nat__def,axiom,
% 190.45/190.64 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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__lex,axiom,
% 190.45/190.64 ! [V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_r_2)
% 190.45/190.64 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__lexn,axiom,
% 190.45/190.64 ! [V_na_2,V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_r_2)
% 190.45/190.64 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_na_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_lex__def,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_lexn_Osimps_I1_J,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__pred__nat,axiom,
% 190.45/190.64 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__same__fst,axiom,
% 190.45/190.64 ! [T_b,V_R_2,T_c,V_Pa_2] :
% 190.45/190.64 ( ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(V_Pa_2,B_x))
% 190.45/190.64 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) )
% 190.45/190.64 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__if__measure,axiom,
% 190.45/190.64 ! [T_b,V_g_2,V_f_2,V_Pa_2] :
% 190.45/190.64 ( ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(V_Pa_2,B_x))
% 190.45/190.64 => 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))) )
% 190.45/190.64 => 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))))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wfP__def,axiom,
% 190.45/190.64 ! [V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 190.45/190.64 <=> 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wfP__empty,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wfP__accp__iff,axiom,
% 190.45/190.64 ! [V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 190.45/190.64 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_accp__wfPD,axiom,
% 190.45/190.64 ! [V_x_2,V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 190.45/190.64 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wfP__subset,axiom,
% 190.45/190.64 ! [V_p_2,V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 190.45/190.64 => ( 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))
% 190.45/190.64 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__in__rel,axiom,
% 190.45/190.64 ! [V_R_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_R_2)
% 190.45/190.64 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wfP__wf__eq,axiom,
% 190.45/190.64 ! [V_r_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wfP__acyclicP,axiom,
% 190.45/190.64 ! [V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_refl__on__def_H,axiom,
% 190.45/190.64 ! [V_r_2,V_A_2,T_b] :
% 190.45/190.64 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 190.45/190.64 <=> ( ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 190.45/190.64 => 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)) )
% 190.45/190.64 & ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.64 => 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)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Abs__Integ__cases,axiom,
% 190.45/190.64 ! [V_x_2] :
% 190.45/190.64 ~ ! [B_y] :
% 190.45/190.64 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 190.45/190.64 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_ball__empty,axiom,
% 190.45/190.64 ! [V_Pa_2,T_b,B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 190.45/190.64 => hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__acyclic,axiom,
% 190.45/190.64 ! [V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_r_2)
% 190.45/190.64 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_acyclic__subset,axiom,
% 190.45/190.64 ! [V_r_2,V_s_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Oacyclic(T_b,V_s_2)
% 190.45/190.64 => ( 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))
% 190.45/190.64 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Powp__def,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2))
% 190.45/190.64 <=> ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 190.45/190.64 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_congruent__def,axiom,
% 190.45/190.64 ! [V_f_2,V_r_2,T_c,T_b] :
% 190.45/190.64 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 190.45/190.64 <=> ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__acyclic__wf,axiom,
% 190.45/190.64 ! [V_r_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 190.45/190.64 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 190.45/190.64 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 190.45/190.64 ! [V_r_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 190.45/190.64 => ( c_Wellfounded_Owf(T_b,V_r_2)
% 190.45/190.64 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Nitpick_Owf_H__def,axiom,
% 190.45/190.64 ! [V_r_2,T_b] :
% 190.45/190.64 ( c_Nitpick_Owf_H(T_b,V_r_2)
% 190.45/190.64 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 190.45/190.64 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 190.45/190.64 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Abs__Integ__induct,axiom,
% 190.45/190.64 ! [V_x_2,V_Pa_2] :
% 190.45/190.64 ( ! [B_y] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 190.45/190.64 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 190.45/190.64 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__UN__I,axiom,
% 190.45/190.64 ! [V_B_2,T_c,V_A_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( ! [B_a] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 190.45/190.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__on__diff__nat,axiom,
% 190.45/190.64 ! [V_k_2,V_N_2] :
% 190.45/190.64 ( ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 190.45/190.64 => 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) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wfP__SUP,axiom,
% 190.45/190.64 ! [T_b,V_r_2,T_c] :
% 190.45/190.64 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i))
% 190.45/190.64 => ( ! [B_i,B_j] :
% 190.45/190.64 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 190.45/190.64 => 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)) )
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_mem__splitE,axiom,
% 190.45/190.64 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => ~ ! [B_x,B_y] :
% 190.45/190.64 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)
% 190.45/190.64 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_mem__splitI2,axiom,
% 190.45/190.64 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] :
% 190.45/190.64 ( ! [B_a,B_b] :
% 190.45/190.64 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) )
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimage__Times,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_setsum__SucD,axiom,
% 190.45/190.64 ! [V_na_2,V_A_2,V_f_2,T_b] :
% 190.45/190.64 ( 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)
% 190.45/190.64 => ? [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.64 & 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_o__eq__id__dest,axiom,
% 190.45/190.64 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 190.45/190.64 ( 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)
% 190.45/190.64 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_o__id,axiom,
% 190.45/190.64 ! [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 ).
% 190.45/190.64
% 190.45/190.64 fof(fact_id__o,axiom,
% 190.45/190.64 ! [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 ).
% 190.45/190.64
% 190.45/190.64 fof(fact_K__record__comp,axiom,
% 190.45/190.64 ! [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 ).
% 190.45/190.64
% 190.45/190.64 fof(fact_o__eq__dest__lhs,axiom,
% 190.45/190.64 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 190.45/190.64 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2
% 190.45/190.64 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_fun__upd__comp,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 190.45/190.64 ! [V_x_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 190.45/190.64 => 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) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_comp__cong,axiom,
% 190.45/190.64 ! [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] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => 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) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_o__def,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_o__eq__elim,axiom,
% 190.45/190.64 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 190.45/190.64 ( 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)
% 190.45/190.64 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_o__eq__dest,axiom,
% 190.45/190.64 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 190.45/190.64 ( 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)
% 190.45/190.64 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_o__apply,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_o__assoc,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_apfst__compose,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_apsnd__compose,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_vimage__compose,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_map__pair_Ocomp,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_map__pair__compose,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_map__pair_Ocompositionality,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_image__compose,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__on__imageI2,axiom,
% 190.45/190.64 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] :
% 190.45/190.64 ( 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)
% 190.45/190.64 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_comp__inj__on__iff,axiom,
% 190.45/190.64 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.64 => ( 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))
% 190.45/190.64 <=> 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) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_comp__inj__on,axiom,
% 190.45/190.64 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.64 => ( 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))
% 190.45/190.64 => 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) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__on__imageI,axiom,
% 190.45/190.64 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] :
% 190.45/190.64 ( 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)
% 190.45/190.64 => 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inj__comp,axiom,
% 190.45/190.64 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.64 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_comp__surj,axiom,
% 190.45/190.64 ! [V_g_2,T_d,V_f_2,T_b,T_c] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => ( 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))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_setsum__reindex,axiom,
% 190.45/190.64 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 190.45/190.64 ( class_Groups_Ocomm__monoid__add(T_d)
% 190.45/190.64 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 190.45/190.64 => 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) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_setprod__reindex,axiom,
% 190.45/190.64 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 190.45/190.64 ( class_Groups_Ocomm__monoid__mult(T_d)
% 190.45/190.64 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 190.45/190.64 => 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) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_setprod__reindex__cong,axiom,
% 190.45/190.64 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 190.45/190.64 ( class_Groups_Ocomm__monoid__mult(T_d)
% 190.45/190.64 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.64 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 190.45/190.64 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)
% 190.45/190.64 => 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) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_setsum_Oreindex,axiom,
% 190.45/190.64 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 190.45/190.64 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 190.45/190.64 => 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) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_setprod_Oreindex,axiom,
% 190.45/190.64 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 190.45/190.64 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 190.45/190.64 => 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) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_the__inv__into__comp,axiom,
% 190.45/190.64 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 190.45/190.64 => ( 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))))
% 190.45/190.64 => 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) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_fold__image__reindex,axiom,
% 190.45/190.64 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] :
% 190.45/190.64 ( class_Groups_Oab__semigroup__mult(T_d)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2)
% 190.45/190.64 => 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) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_folding_Oremove,axiom,
% 190.45/190.64 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.64 => 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)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_folding__image_Oreindex,axiom,
% 190.45/190.64 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.45/190.64 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2)
% 190.45/190.64 => 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) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_folding_Ounion,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.64 => ( 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))
% 190.45/190.64 => 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)) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_folding_Ocommute__left__comp,axiom,
% 190.45/190.64 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 190.45/190.64 => 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_folding_Ocommute__comp,axiom,
% 190.45/190.64 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 190.45/190.64 => 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 190.45/190.64 ! [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] :
% 190.45/190.64 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2)
% 190.45/190.64 => 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) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_UN__o,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_fst__comp__map__pair,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_snd__comp__map__pair,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_folding__image_Odistrib,axiom,
% 190.45/190.64 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_split__comp,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 190.45/190.64 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.64 => 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)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.64 => 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)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 190.45/190.64 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_folding_Ocommute__comp_H,axiom,
% 190.45/190.64 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_folding_Oempty,axiom,
% 190.45/190.64 ! [V_F_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 190.45/190.64 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_folding__image_Oeq__fold,axiom,
% 190.45/190.64 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.45/190.64 => 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) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_folding_Oinsert,axiom,
% 190.45/190.64 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.64 => 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)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_folding_Ounion__inter,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.64 => 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)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_folding_Oinsert__remove,axiom,
% 190.45/190.64 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_setsum__reindex__nonzero,axiom,
% 190.45/190.64 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] :
% 190.45/190.64 ( class_Groups_Ocomm__monoid__add(T_d)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 190.45/190.64 => ( ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 190.45/190.64 => ! [B_y] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2))
% 190.45/190.64 => ( B_x != B_y
% 190.45/190.64 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 190.45/190.64 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) )
% 190.45/190.64 => 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) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_folding__idem_Ounion__idem,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.64 => 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)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.45/190.64 => 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) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 190.45/190.64 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 190.45/190.64 => 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) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_folding__idem_Oidem__comp,axiom,
% 190.45/190.64 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 190.45/190.64 => 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) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 190.45/190.64 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.64 => 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) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_folding__idem_Oinsert__idem,axiom,
% 190.45/190.64 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.45/190.64 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_strong__setprod__reindex__cong,axiom,
% 190.45/190.64 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 190.45/190.64 ( class_Groups_Ocomm__monoid__mult(T_d)
% 190.45/190.64 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.64 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 190.45/190.64 => ( ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.64 => 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) )
% 190.45/190.64 => 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) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Eps__split,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_nat__mod__eq__lemma,axiom,
% 190.45/190.64 ! [V_y,V_n,V_x] :
% 190.45/190.64 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 190.45/190.64 => ? [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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_tfl__some,axiom,
% 190.45/190.64 ! [T_b,B_P] :
% 190.45/190.64 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 190.45/190.64 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_someI,axiom,
% 190.45/190.64 ! [T_b,V_x_2,V_Pa_2] :
% 190.45/190.64 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.64 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_someI__ex,axiom,
% 190.45/190.64 ! [T_b,V_Pa_2] :
% 190.45/190.64 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 190.45/190.64 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_some__eq__ex,axiom,
% 190.45/190.64 ! [T_b,V_Pa_2] :
% 190.45/190.64 ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2)))
% 190.45/190.64 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_some__eq__trivial,axiom,
% 190.45/190.64 ! [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 ).
% 190.45/190.64
% 190.45/190.64 fof(fact_some__sym__eq__trivial,axiom,
% 190.45/190.64 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 190.45/190.64
% 190.45/190.64 fof(fact_exE__some,axiom,
% 190.45/190.64 ! [T_b,V_c_2,V_Pa_2] :
% 190.45/190.64 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 190.45/190.64 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_Pa_2)
% 190.45/190.64 => hBOOL(hAPP(V_Pa_2,V_c_2)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_split__paired__Eps,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Eps__split__eq,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wfI__pf,axiom,
% 190.45/190.64 ! [V_R_2,T_b] :
% 190.45/190.64 ( ! [B_A] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 190.45/190.64 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Sigma__mono,axiom,
% 190.45/190.64 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 190.45/190.64 => ( ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.64 => 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))) )
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_not__acc__down,axiom,
% 190.45/190.64 ! [V_R_2,V_x_2,T_b] :
% 190.45/190.64 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2)))
% 190.45/190.64 => ~ ! [B_z] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_acc_OaccI,axiom,
% 190.45/190.64 ! [V_r_2,V_x_2,T_b] :
% 190.45/190.64 ( ! [B_y] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) )
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_max__ext_Osimps,axiom,
% 190.45/190.64 ! [V_R_2,V_a2_2,V_a1_2,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 190.45/190.64 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 190.45/190.64 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.64 & ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 190.45/190.64 => ? [B_xa] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 190.45/190.64 & 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)) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_mod__induct__0,axiom,
% 190.45/190.64 ! [V_i_2,V_Pa_2,V_p_2] :
% 190.45/190.64 ( ! [B_i] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 190.45/190.64 => ( hBOOL(hAPP(V_Pa_2,B_i))
% 190.45/190.64 => hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 190.45/190.64 => ( hBOOL(hAPP(V_Pa_2,V_i_2))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 190.45/190.64 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Min__eqI,axiom,
% 190.45/190.64 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.64 ( class_Orderings_Olinorder(T_b)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( ! [B_y] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) )
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.64 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Max__eqI,axiom,
% 190.45/190.64 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.64 ( class_Orderings_Olinorder(T_b)
% 190.45/190.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.64 => ( ! [B_y] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) )
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.64 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__no__infinite__down__chainE,axiom,
% 190.45/190.64 ! [V_f_2,V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_r_2)
% 190.45/190.64 => ~ ! [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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_setsum__reindex__cong,axiom,
% 190.45/190.64 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 190.45/190.64 ( class_Groups_Ocomm__monoid__add(T_d)
% 190.45/190.64 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.64 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 190.45/190.64 => ( ! [B_a] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 190.45/190.64 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 190.45/190.64 => 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) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_scomp__unfold,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_setsum__ivl__cong,axiom,
% 190.45/190.64 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] :
% 190.45/190.64 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.64 & class_Orderings_Oord(T_b) )
% 190.45/190.64 => ( V_a_2 = V_c_2
% 190.45/190.64 => ( V_b_2 = V_d_2
% 190.45/190.64 => ( ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2))
% 190.45/190.64 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 190.45/190.64 => 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)) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Pair__scomp,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_scomp__scomp,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_scomp__Pair,axiom,
% 190.45/190.64 ! [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 ).
% 190.45/190.64
% 190.45/190.64 fof(fact_scomp__apply,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_scomp__def,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_iterate_Osimps,axiom,
% 190.45/190.64 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 190.45/190.64 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 190.45/190.64 => 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) )
% 190.45/190.64 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_less__eq,axiom,
% 190.45/190.64 ! [V_na_2,V_m_2] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_nat__intermed__int__val,axiom,
% 190.45/190.64 ! [V_k_2,V_f_2,V_na_2,V_m_2] :
% 190.45/190.64 ( ! [B_i] :
% 190.45/190.64 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 190.45/190.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) )
% 190.45/190.64 => 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))) )
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2)))
% 190.45/190.64 => ? [B_i] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 190.45/190.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2))
% 190.45/190.64 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__trancl,axiom,
% 190.45/190.64 ! [V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,V_r_2)
% 190.45/190.64 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_less__than__def,axiom,
% 190.45/190.64 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_acyclic__def,axiom,
% 190.45/190.64 ! [V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 190.45/190.64 <=> ! [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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_trancl_Or__into__trancl,axiom,
% 190.45/190.64 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_trancl__subset__Field2,axiom,
% 190.45/190.64 ! [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))))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_trancl__Int__subset,axiom,
% 190.45/190.64 ! [V_s_2,V_r_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => ( 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))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_r__into__trancl_H,axiom,
% 190.45/190.64 ! [V_r_2,V_p_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_trancl__empty,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_trancl__domain,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_trancl__range,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__trancl,axiom,
% 190.45/190.64 ! [V_r_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 190.45/190.64 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_trancl__trans,axiom,
% 190.45/190.64 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => ( 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)))
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 190.45/190.64 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => ( 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))
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_trancl__into__trancl2,axiom,
% 190.45/190.64 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => ( 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)))
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_r__r__into__trancl,axiom,
% 190.45/190.64 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => ( 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))
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_trancl__mono,axiom,
% 190.45/190.64 ! [V_s_2,V_r_2,V_p_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 190.45/190.64 => ( 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))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_trancl__unfold,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_trancl__subset__Sigma,axiom,
% 190.45/190.64 ! [V_A_2,V_r_2,T_b] :
% 190.45/190.64 ( 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))))
% 190.45/190.64 => 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)))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_log_Osimps,axiom,
% 190.45/190.64 ! [V_i,V_b] :
% 190.45/190.64 ( ( ( 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)))
% 190.45/190.64 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 190.45/190.64 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 190.45/190.64 & ( ~ ( 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)))
% 190.45/190.64 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_minus__shift__def,axiom,
% 190.45/190.64 ! [V_r,V_l,V_k] :
% 190.45/190.64 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 190.45/190.64 => 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) )
% 190.45/190.64 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 190.45/190.64 => 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) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_inc__shift__def,axiom,
% 190.45/190.64 ! [V_k,V_v] :
% 190.45/190.64 ( ( V_v = V_k
% 190.45/190.64 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 190.45/190.64 & ( V_v != V_k
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_range,axiom,
% 190.45/190.64 ! [V_s,V_k] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_trancl__insert,axiom,
% 190.45/190.64 ! [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)))))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_reflcl__set__eq,axiom,
% 190.45/190.64 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 <=> 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)))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_r__into__rtrancl,axiom,
% 190.45/190.64 ! [V_r_2,V_p_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_IdI,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_trancl__into__rtrancl,axiom,
% 190.45/190.64 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl__Int__subset,axiom,
% 190.45/190.64 ! [V_r_2,V_s_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => ( 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))
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Image__closed__trancl,axiom,
% 190.45/190.64 ! [V_X_2,V_r_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl__mono,axiom,
% 190.45/190.64 ! [V_s_2,V_r_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl__subset,axiom,
% 190.45/190.64 ! [V_S_2,V_R_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => ( 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)))
% 190.45/190.64 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl__subset__rtrancl,axiom,
% 190.45/190.64 ! [V_s_2,V_r_2,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Id__O__R,axiom,
% 190.45/190.64 ! [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 ).
% 190.45/190.64
% 190.45/190.64 fof(fact_R__O__Id,axiom,
% 190.45/190.64 ! [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 ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Image__Id,axiom,
% 190.45/190.64 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl__idemp,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl__trans,axiom,
% 190.45/190.64 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => ( 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)))
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 190.45/190.64 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => ( 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))
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 190.45/190.64 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => ( 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)))
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl__r__diff__Id,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl__reflcl__absorb,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl__Un__rtrancl,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl__reflcl,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_r__comp__rtrancl__eq,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl__idemp__self__comp,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl__unfold,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl__empty,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_trancl__reflcl,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_reflcl__trancl,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_trancl__rtrancl__absorb,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl__trancl__absorb,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_in__rtrancl__UnI,axiom,
% 190.45/190.64 ! [V_S_2,V_R_2,V_x_2,T_b] :
% 190.45/190.64 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 190.45/190.64 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) )
% 190.45/190.64 => 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)))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Domain__rtrancl,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Range__rtrancl,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_refl__rtrancl,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_trancl__unfold__left,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_trancl__unfold__right,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl__Un__subset,axiom,
% 190.45/190.64 ! [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)))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_pair__in__Id__conv,axiom,
% 190.45/190.64 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 <=> V_a_2 = V_b_2 ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl__trancl__trancl,axiom,
% 190.45/190.64 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => ( 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)))
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_trancl__rtrancl__trancl,axiom,
% 190.45/190.64 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => ( 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)))
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl__into__trancl1,axiom,
% 190.45/190.64 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => ( 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))
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtranclD,axiom,
% 190.45/190.64 ! [V_R_2,V_b_2,V_a_2,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => ( V_a_2 = V_b_2
% 190.45/190.64 | ( V_a_2 != V_b_2
% 190.45/190.64 & 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))) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl__into__trancl2,axiom,
% 190.45/190.64 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => ( 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)))
% 190.45/190.64 => 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl__eq__or__trancl,axiom,
% 190.45/190.64 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 <=> ( V_x_2 = V_y_2
% 190.45/190.64 | ( V_x_2 != V_y_2
% 190.45/190.64 & 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))) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Domain__Id,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Range__Id,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_refl__Id,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_pair__leq__def,axiom,
% 190.45/190.64 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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Not__Domain__rtrancl,axiom,
% 190.45/190.64 ! [V_y_2,V_R_2,V_x_2,T_b] :
% 190.45/190.64 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2)))
% 190.45/190.64 => ( 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)))
% 190.45/190.64 <=> V_x_2 = V_y_2 ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_acc__downwards__aux,axiom,
% 190.45/190.64 ! [V_r_2,V_a_2,V_b_2,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_acc__downwards,axiom,
% 190.45/190.64 ! [V_b_2,V_r_2,V_a_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 190.45/190.64 => ( 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)))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__insert,axiom,
% 190.45/190.64 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 <=> ( c_Wellfounded_Owf(T_b,V_r_2)
% 190.45/190.64 & ~ 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_acyclic__insert,axiom,
% 190.45/190.64 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 190.45/190.64 & ~ 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))) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_refl__reflcl,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Id__def,axiom,
% 190.45/190.64 ! [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))))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_irrefl__diff__Id,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_pred__nat__trancl__eq__le,axiom,
% 190.45/190.64 ! [V_na_2,V_m_2] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_trancl__subset__Sigma__aux,axiom,
% 190.45/190.64 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => ( 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))))
% 190.45/190.64 => ( V_a_2 = V_b_2
% 190.45/190.64 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_irrefl__tranclI,axiom,
% 190.45/190.64 ! [V_x_2,V_r_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => ~ 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_sequence__trans,axiom,
% 190.45/190.64 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] :
% 190.45/190.64 ( ! [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)))
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_total__on__diff__Id,axiom,
% 190.45/190.64 ! [V_r_2,V_A_2,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_converse__Id,axiom,
% 190.45/190.64 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl__converse,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_trancl__converse,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_acyclic__converse,axiom,
% 190.45/190.64 ! [V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 190.45/190.64 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_refl__on__converse,axiom,
% 190.45/190.64 ! [V_r_2,V_A_2,T_b] :
% 190.45/190.64 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 190.45/190.64 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_converse__inv__image,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Field__converse,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_converse__Int,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_total__on__converse,axiom,
% 190.45/190.64 ! [V_r_2,V_A_2,T_b] :
% 190.45/190.64 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 190.45/190.64 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_converse__converse,axiom,
% 190.45/190.64 ! [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 ).
% 190.45/190.64
% 190.45/190.64 fof(fact_converse__Id__on,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__converse,axiom,
% 190.45/190.64 ! [V_r_2,T_c,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 190.45/190.64 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_converse__Un,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_converse__rel__comp,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_converse__UNION,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_converse__iff,axiom,
% 190.45/190.64 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 <=> 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_converseI,axiom,
% 190.45/190.64 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_converseD,axiom,
% 190.45/190.64 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__converse__trancl,axiom,
% 190.45/190.64 ! [V_r_2,T_b] :
% 190.45/190.64 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 190.45/190.64 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_equiv__comp__eq,axiom,
% 190.45/190.64 ! [V_r_2,V_A_2,T_b] :
% 190.45/190.64 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 190.45/190.64 => 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 ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Range__converse,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Domain__converse,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Range__def,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_total__on__empty,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl__converseI,axiom,
% 190.45/190.64 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => 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)))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl__converseD,axiom,
% 190.45/190.64 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 190.45/190.64 ( 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))))
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_trancl__converseD,axiom,
% 190.45/190.64 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 190.45/190.64 ( 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))))
% 190.45/190.64 => 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)))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_trancl__converseI,axiom,
% 190.45/190.64 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 190.45/190.64 ( 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))))
% 190.45/190.64 => 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)))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Image__subset__eq,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 <=> 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))))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_refl__on__comp__subset,axiom,
% 190.45/190.64 ! [V_r_2,V_A_2,T_b] :
% 190.45/190.64 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 190.45/190.64 => 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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_comp__equivI,axiom,
% 190.45/190.64 ! [V_A_2,V_r_2,T_b] :
% 190.45/190.64 ( 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
% 190.45/190.64 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2
% 190.45/190.64 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_finite__acyclic__wf__converse,axiom,
% 190.45/190.64 ! [V_r_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 190.45/190.64 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 190.45/190.64 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_total__on__def,axiom,
% 190.45/190.64 ! [V_r_2,V_A_2,T_b] :
% 190.45/190.64 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2)
% 190.45/190.64 <=> ! [B_x] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.64 => ! [B_xa] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 190.45/190.64 => ( B_x != B_xa
% 190.45/190.64 => ( 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))
% 190.45/190.64 | 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)) ) ) ) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_converse__def,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 190.45/190.64 ! [V_R_2,V_p_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 190.45/190.64 => 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)))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_acyclicI,axiom,
% 190.45/190.64 ! [V_r_2,T_b] :
% 190.45/190.64 ( ! [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)))
% 190.45/190.64 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_Image__Int__eq,axiom,
% 190.45/190.64 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] :
% 190.45/190.64 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2))
% 190.45/190.64 => 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_single__valued__subset,axiom,
% 190.45/190.64 ! [V_s_2,V_r_2,T_c,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2)
% 190.45/190.64 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_comp__funpow,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_wf__exp,axiom,
% 190.45/190.64 ! [V_R_2,V_na_2,T_b] :
% 190.45/190.64 ( 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))
% 190.45/190.64 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_funpow__mult,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_funpow__swap1,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_single__valued__rel__pow,axiom,
% 190.45/190.64 ! [V_na_2,V_R_2,T_b] :
% 190.45/190.64 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2)
% 190.45/190.64 => 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)) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rel__pow__1,axiom,
% 190.45/190.64 ! [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 ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rel__pow__commute,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_single__valued__rel__comp,axiom,
% 190.45/190.64 ! [V_s_2,T_d,V_r_2,T_c,T_b] :
% 190.45/190.64 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 190.45/190.64 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2)
% 190.45/190.64 => 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)) ) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_single__valued__Id,axiom,
% 190.45/190.64 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rel__pow__imp__rtrancl,axiom,
% 190.45/190.64 ! [V_R_2,V_na_2,V_p_2,T_b] :
% 190.45/190.64 ( 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)))
% 190.45/190.64 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rtrancl__power,axiom,
% 190.45/190.64 ! [V_R_2,V_p_2,T_b] :
% 190.45/190.64 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 190.45/190.64 <=> ? [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))) ) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_single__valued__Id__on,axiom,
% 190.45/190.64 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_relpow_Osimps_I2_J,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rel__pow__add,axiom,
% 190.45/190.64 ! [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)) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_relpow_Osimps_I1_J,axiom,
% 190.45/190.64 ! [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) ).
% 190.45/190.64
% 190.45/190.64 fof(fact_rel__pow__0__I,axiom,
% 190.45/190.64 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rel__pow__0__E,axiom,
% 190.45/190.65 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => V_x_2 = V_y_2 ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rel__pow__Suc__I,axiom,
% 190.45/190.65 ! [V_z_2,V_R_2,V_na_2,V_y_2,V_x_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ( 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))
% 190.45/190.65 => 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rel__pow__Suc__I2,axiom,
% 190.45/190.65 ! [V_na_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => ( 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)))
% 190.45/190.65 => 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_funpow_Osimps_I2_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_funpow__add,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_single__valuedD,axiom,
% 190.45/190.65 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 190.45/190.65 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 190.45/190.65 => ( 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))
% 190.45/190.65 => ( 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))
% 190.45/190.65 => V_y_2 = V_z_2 ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_single__valued__def,axiom,
% 190.45/190.65 ! [V_r_2,T_c,T_b] :
% 190.45/190.65 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 190.45/190.65 <=> ! [B_x,B_y] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => ! [B_z] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => B_y = B_z ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_funpow_Osimps_I1_J,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_trancl__power,axiom,
% 190.45/190.65 ! [V_R_2,V_p_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 190.45/190.65 <=> ? [B_n] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 190.45/190.65 & 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_single__valued__confluent,axiom,
% 190.45/190.65 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 190.45/190.65 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2)
% 190.45/190.65 => ( 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)))
% 190.45/190.65 => ( 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)))
% 190.45/190.65 => ( 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)))
% 190.45/190.65 | 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))) ) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_funpow__code__def,axiom,
% 190.45/190.65 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rel__pow__E,axiom,
% 190.45/190.65 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.65 => V_x_2 != V_z_2 )
% 190.45/190.65 => ~ ! [B_y,B_m] :
% 190.45/190.65 ( V_na_2 = hAPP(c_Nat_OSuc,B_m)
% 190.45/190.65 => ( 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)))
% 190.45/190.65 => ~ 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)) ) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rel__pow__E2,axiom,
% 190.45/190.65 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.65 => V_x_2 != V_z_2 )
% 190.45/190.65 => ~ ! [B_y,B_m] :
% 190.45/190.65 ( V_na_2 = hAPP(c_Nat_OSuc,B_m)
% 190.45/190.65 => ( 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))
% 190.45/190.65 => ~ 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))) ) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 190.45/190.65 ! [V_Q_2,V_Pa_2,V_b_2,V_a_2,T_b] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => ( ! [B_x] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ! [B_y] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => B_y = B_x ) )
% 190.45/190.65 => 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rtrancl__Un__separatorE,axiom,
% 190.45/190.65 ! [V_Q_2,V_Pa_2,V_b_2,V_a_2,T_b] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => ( ! [B_x] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ! [B_y] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => B_x = B_y ) )
% 190.45/190.65 => 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rel__pow__Suc__E,axiom,
% 190.45/190.65 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ~ ! [B_y] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ~ 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rel__pow__Suc__D2,axiom,
% 190.45/190.65 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ? [B_y] :
% 190.45/190.65 ( 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))
% 190.45/190.65 & 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rel__pow__Suc__E2,axiom,
% 190.45/190.65 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ~ ! [B_y] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => ~ 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_tranclD,axiom,
% 190.45/190.65 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ? [B_z] :
% 190.45/190.65 ( 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))
% 190.45/190.65 & 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_tranclD2,axiom,
% 190.45/190.65 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ? [B_z] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 & 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_IdE,axiom,
% 190.45/190.65 ! [V_p_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b)))
% 190.45/190.65 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 190.45/190.65 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.65 => 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) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fold__empty,axiom,
% 190.45/190.65 ! [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 ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fold__image__def,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_folding_Oeq__fold,axiom,
% 190.45/190.65 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fold__def,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_union__fold__insert,axiom,
% 190.45/190.65 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fold__sup__insert,axiom,
% 190.45/190.65 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Lattices_Osemilattice__sup(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fold__inf__insert,axiom,
% 190.45/190.65 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Lattices_Osemilattice__inf(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_min__max_Ofold__inf__insert,axiom,
% 190.45/190.65 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_min__max_Ofold__sup__insert,axiom,
% 190.45/190.65 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 190.45/190.65 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 190.45/190.65 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sup__SUPR__fold__sup,axiom,
% 190.45/190.65 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 190.45/190.65 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] :
% 190.45/190.65 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sup__le__fold__sup,axiom,
% 190.45/190.65 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Lattices_Osemilattice__sup(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.65 => 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))) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fold__inf__le__inf,axiom,
% 190.45/190.65 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Lattices_Osemilattice__inf(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.65 => 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))) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 190.45/190.65 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.65 => 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))) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 190.45/190.65 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.65 => 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))) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fold1__eq__fold__idem,axiom,
% 190.45/190.65 ! [V_a_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 190.45/190.65 ! [V_a_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Lattices_Olattice(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 190.45/190.65 ! [V_a_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Lattices_Olattice(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 190.45/190.65 ! [V_a_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 190.45/190.65 ! [V_a_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 190.45/190.65 ! [V_a_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 190.45/190.65 ! [V_a_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_minus__fold__remove,axiom,
% 190.45/190.65 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_folding__one_Oeq__fold_H,axiom,
% 190.45/190.65 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 190.45/190.65 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.65 => 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) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_SUPR__fold__sup,axiom,
% 190.45/190.65 ! [V_f_2,V_A_2,T_b,T_c] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fold1__eq__fold,axiom,
% 190.45/190.65 ! [V_a_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Groups_Oab__semigroup__mult(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.65 => 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) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 190.45/190.65 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Lattices_Olattice(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.65 => 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) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 190.45/190.65 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Lattices_Olattice(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.65 => 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) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Min_Oeq__fold_H,axiom,
% 190.45/190.65 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.65 => 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) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Max_Oeq__fold_H,axiom,
% 190.45/190.65 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.65 => 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) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 190.45/190.65 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.65 => 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) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 190.45/190.65 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.65 => 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)))))) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 190.45/190.65 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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)))))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INFI__fold__inf,axiom,
% 190.45/190.65 ! [V_f_2,V_A_2,T_b,T_c] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__E,axiom,
% 190.45/190.65 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 190.45/190.65 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__D,axiom,
% 190.45/190.65 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INF1__D,axiom,
% 190.45/190.65 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.65 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INF1__E,axiom,
% 190.45/190.65 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 190.45/190.65 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INF2__D,axiom,
% 190.45/190.65 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.65 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INF2__E,axiom,
% 190.45/190.65 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 190.45/190.65 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_finite__INT,axiom,
% 190.45/190.65 ! [V_A_2,T_c,V_I_2,T_b] :
% 190.45/190.65 ( ? [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 190.45/190.65 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__simps_I9_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__extend__simps_I9_J,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_le__INF__iff,axiom,
% 190.45/190.65 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => ( 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)))
% 190.45/190.65 <=> ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INF__less__iff,axiom,
% 190.45/190.65 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] :
% 190.45/190.65 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 & class_Orderings_Olinorder(T_b) )
% 190.45/190.65 => ( 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))
% 190.45/190.65 <=> ? [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 190.45/190.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__insert__distrib,axiom,
% 190.45/190.65 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 190.45/190.65 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 190.45/190.65 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 190.45/190.65 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__Int__distrib,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INF__commute,axiom,
% 190.45/190.65 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INFI__apply,axiom,
% 190.45/190.65 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Pow__INT__eq,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 190.45/190.65 ! [V_B_2,V_A_2,T_c,T_b] :
% 190.45/190.65 ( 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)
% 190.45/190.65 <=> ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 190.45/190.65 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 190.45/190.65 ! [V_B_2,V_A_2,T_b,T_c] :
% 190.45/190.65 ( 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))
% 190.45/190.65 <=> ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 190.45/190.65 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INF__INT__eq2,axiom,
% 190.45/190.65 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 <=> 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__iff,axiom,
% 190.45/190.65 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 <=> ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fun__left__comm,axiom,
% 190.45/190.65 ! [T_b] :
% 190.45/190.65 ( class_Groups_Oab__semigroup__mult(T_b)
% 190.45/190.65 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__simps_I10_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__extend__simps_I10_J,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__simps_I5_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__extend__simps_I5_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INFI__bool__eq,axiom,
% 190.45/190.65 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_vimage__INT,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 190.45/190.65 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__subset__iff,axiom,
% 190.45/190.65 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 <=> ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 190.45/190.65 => 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 190.45/190.65 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 190.45/190.65 => V_y_2 = V_x_2 ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__simps_I7_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__simps_I6_J,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__extend__simps_I7_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Un__INT__distrib,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__extend__simps_I6_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Un__INT__distrib2,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_converse__INTER,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INF__const,axiom,
% 190.45/190.65 ! [V_M_2,T_b,V_A_2,T_c] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 190.45/190.65 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.65 => 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 ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__absorb,axiom,
% 190.45/190.65 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INF__INT__eq,axiom,
% 190.45/190.65 ! [V_x_2,V_r_2,T_c,T_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 <=> 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__lower,axiom,
% 190.45/190.65 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__empty,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__constant,axiom,
% 190.45/190.65 ! [V_c_2,T_c,T_b,V_A_2] :
% 190.45/190.65 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.65 => 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)) )
% 190.45/190.65 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.65 => 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 ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__extend__simps_I2_J,axiom,
% 190.45/190.65 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 190.45/190.65 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.65 => 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 )
% 190.45/190.65 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__extend__simps_I1_J,axiom,
% 190.45/190.65 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 190.45/190.65 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.65 => 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 )
% 190.45/190.65 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__insert,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Collect__ball__eq,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__Un,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_UN__simps_I7_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_UN__extend__simps_I7_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Image__INT__subset,axiom,
% 190.45/190.65 ! [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)))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Compl__INT,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Compl__UN,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INF__subset,axiom,
% 190.45/190.65 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.65 => 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INTER__def,axiom,
% 190.45/190.65 ! [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)))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__simps_I1_J,axiom,
% 190.45/190.65 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 190.45/190.65 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.65 => 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)) )
% 190.45/190.65 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__simps_I2_J,axiom,
% 190.45/190.65 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 190.45/190.65 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.65 => 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)) )
% 190.45/190.65 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__extend__simps_I3_J,axiom,
% 190.45/190.65 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 190.45/190.65 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.65 => 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) )
% 190.45/190.65 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__simps_I3_J,axiom,
% 190.45/190.65 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 190.45/190.65 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.65 => 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)) )
% 190.45/190.65 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__extend__simps_I4_J,axiom,
% 190.45/190.65 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 190.45/190.65 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.65 => 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 )
% 190.45/190.65 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 190.45/190.65 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INF__leI,axiom,
% 190.45/190.65 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 190.45/190.65 => 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 190.45/190.65 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 190.45/190.65 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__greaterThan__UNIV,axiom,
% 190.45/190.65 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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__simps_I4_J,axiom,
% 190.45/190.65 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 190.45/190.65 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.65 => 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)) )
% 190.45/190.65 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Image__INT__eq,axiom,
% 190.45/190.65 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] :
% 190.45/190.65 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))
% 190.45/190.65 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_inf__INFI__fold__inf,axiom,
% 190.45/190.65 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 190.45/190.65 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 190.45/190.65 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.65 => 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)) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 190.45/190.65 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.65 => 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) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 190.45/190.65 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.65 => ? [B_y_H] :
% 190.45/190.65 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H)
% 190.45/190.65 & 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)) ) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Inf__fold__inf,axiom,
% 190.45/190.65 ! [V_A_2,T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Sup__fold__sup,axiom,
% 190.45/190.65 ! [V_A_2,T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_finite__Inter,axiom,
% 190.45/190.65 ! [V_M_2,T_b] :
% 190.45/190.65 ( ? [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2))
% 190.45/190.65 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 190.45/190.65 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_UnionI,axiom,
% 190.45/190.65 ! [V_A_2,V_C_2,V_X_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2))
% 190.45/190.65 => 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_InterD,axiom,
% 190.45/190.65 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_InterE,axiom,
% 190.45/190.65 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INF1__iff,axiom,
% 190.45/190.65 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 <=> ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.65 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INF2__iff,axiom,
% 190.45/190.65 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 <=> ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.65 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__extend__simps_I8_J,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INT__simps_I8_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Inter__image__eq,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INTER__eq__Inter__image,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Un__Inter,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Union__disjoint,axiom,
% 190.45/190.65 ! [V_A_2,V_C_2,T_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 <=> ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2))
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Union__upper,axiom,
% 190.45/190.65 ! [V_A_2,V_B_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_less__Sup__iff,axiom,
% 190.45/190.65 ! [V_S_2,V_a_2,T_b] :
% 190.45/190.65 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 & class_Orderings_Olinorder(T_b) )
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2)))
% 190.45/190.65 <=> ? [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 190.45/190.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Inf__less__iff,axiom,
% 190.45/190.65 ! [V_a_2,V_S_2,T_b] :
% 190.45/190.65 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 & class_Orderings_Olinorder(T_b) )
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2))
% 190.45/190.65 <=> ? [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 190.45/190.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_le__Inf__iff,axiom,
% 190.45/190.65 ! [V_A_2,V_b_2,T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => ( 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)))
% 190.45/190.65 <=> ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Sup__le__iff,axiom,
% 190.45/190.65 ! [V_b_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => ( 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))
% 190.45/190.65 <=> ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Field__Union,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Union__Pow__eq,axiom,
% 190.45/190.65 ! [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 ).
% 190.45/190.65
% 190.45/190.65 fof(fact_image__Union,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Sigma__Union,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Int__Union2,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Int__Union,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_UN__extend__simps_I8_J,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_UN__simps_I8_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Range__Union,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Domain__Union,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_vimage__Union,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Inf__Sup,axiom,
% 190.45/190.65 ! [V_A_2,T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => 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))))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Sup__Inf,axiom,
% 190.45/190.65 ! [V_A_2,T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => 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)))))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Inter__lower,axiom,
% 190.45/190.65 ! [V_A_2,V_B_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Union__empty,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Union__mono,axiom,
% 190.45/190.65 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Union__quotient,axiom,
% 190.45/190.65 ! [V_r_2,V_A_2,T_b] :
% 190.45/190.65 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 190.45/190.65 => 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 ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Union__insert,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_finite__UnionD,axiom,
% 190.45/190.65 ! [V_A_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))
% 190.45/190.65 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_subset__Pow__Union,axiom,
% 190.45/190.65 ! [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)))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Inter__anti__mono,axiom,
% 190.45/190.65 ! [V_A_2,V_B_2,T_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Inter__empty,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Inter__eq,axiom,
% 190.45/190.65 ! [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)))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Union__UNIV,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Union__Un__distrib,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Inter__insert,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_UNION__eq__Union__image,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Union__image__eq,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Sup__upper,axiom,
% 190.45/190.65 ! [V_A_2,V_x_2,T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.65 => 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Inter__UNIV,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Inf__lower,axiom,
% 190.45/190.65 ! [V_A_2,V_x_2,T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Sup__empty,axiom,
% 190.45/190.65 ! [T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Inter__Un__distrib,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Sup__singleton,axiom,
% 190.45/190.65 ! [V_a_2,T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => 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 ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Sup__insert,axiom,
% 190.45/190.65 ! [V_A_2,V_a_2,T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Int__Inter__image,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Inf__singleton,axiom,
% 190.45/190.65 ! [V_a_2,T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => 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 ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Sup__UNIV,axiom,
% 190.45/190.65 ! [T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Inf__empty,axiom,
% 190.45/190.65 ! [T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Inf__UNIV,axiom,
% 190.45/190.65 ! [T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Inf__insert,axiom,
% 190.45/190.65 ! [V_A_2,V_a_2,T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Un__eq__Union,axiom,
% 190.45/190.65 ! [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))))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Un__Union__image,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Union__Int__subset,axiom,
% 190.45/190.65 ! [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)))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Int__eq__Inter,axiom,
% 190.45/190.65 ! [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))))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Inter__Un__subset,axiom,
% 190.45/190.65 ! [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)))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Sup__binary,axiom,
% 190.45/190.65 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Inf__binary,axiom,
% 190.45/190.65 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sup__Sup__fold__sup,axiom,
% 190.45/190.65 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Sup__fin__Sup,axiom,
% 190.45/190.65 ! [V_A_2,T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.65 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_inf__Inf__fold__inf,axiom,
% 190.45/190.65 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Inf__fin__Inf,axiom,
% 190.45/190.65 ! [V_A_2,T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.65 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_image__INT,axiom,
% 190.45/190.65 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 190.45/190.65 => ( ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 190.45/190.65 => 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)) )
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2))
% 190.45/190.65 => 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)) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_card__partition,axiom,
% 190.45/190.65 ! [V_k_2,V_C_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2))
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 190.45/190.65 => ( ! [B_c] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2))
% 190.45/190.65 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 )
% 190.45/190.65 => ( ! [B_c1] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2))
% 190.45/190.65 => ! [B_c2] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2))
% 190.45/190.65 => ( B_c1 != B_c2
% 190.45/190.65 => 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)) ) ) )
% 190.45/190.65 => 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)) ) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Inter__def,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Union__def,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_finite__Union,axiom,
% 190.45/190.65 ! [V_A_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2))
% 190.45/190.65 => ( ! [B_M] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2))
% 190.45/190.65 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) )
% 190.45/190.65 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_insert__partition,axiom,
% 190.45/190.65 ! [V_F_2,V_x_2,T_b] :
% 190.45/190.65 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))
% 190.45/190.65 => ( ! [B_x] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ! [B_xa] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ( B_x != B_xa
% 190.45/190.65 => 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)) ) ) )
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_inj__on__Inter,axiom,
% 190.45/190.65 ! [V_f_2,T_c,T_b,V_S_2] :
% 190.45/190.65 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 190.45/190.65 => ( ! [B_A] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2))
% 190.45/190.65 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) )
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Inter__subset,axiom,
% 190.45/190.65 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.65 ( ! [B_X] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) )
% 190.45/190.65 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_inj__on__INTER,axiom,
% 190.45/190.65 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] :
% 190.45/190.65 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.65 => ( ! [B_i] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2))
% 190.45/190.65 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) )
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 190.45/190.65 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 190.45/190.65 => ( 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))
% 190.45/190.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.65 => ~ ! [B_y] :
% 190.45/190.65 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 190.45/190.65 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 190.45/190.65 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => ( ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 190.45/190.65 => 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))) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 190.45/190.65 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => ( ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 190.45/190.65 => 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))) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_InterI,axiom,
% 190.45/190.65 ! [V_A_2,V_C_2,T_b] :
% 190.45/190.65 ( ! [B_X] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) )
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_inf__le__fold__inf,axiom,
% 190.45/190.65 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Lattices_Osemilattice__inf(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => ( ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 190.45/190.65 => 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))) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fold__sup__le__sup,axiom,
% 190.45/190.65 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Lattices_Osemilattice__sup(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => ( ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 190.45/190.65 => 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))) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_mod__div__decomp,axiom,
% 190.45/190.65 ! [V_b,V_a,T_a] :
% 190.45/190.65 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_wf__eq__minimal,axiom,
% 190.45/190.65 ! [V_r_2,T_b] :
% 190.45/190.65 ( c_Wellfounded_Owf(T_b,V_r_2)
% 190.45/190.65 <=> ! [B_Q] :
% 190.45/190.65 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 190.45/190.65 => ? [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 190.45/190.65 & ! [B_y] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_transfer__nat__int__set__cong,axiom,
% 190.45/190.65 ! [V_P_H_2,V_Pa_2] :
% 190.45/190.65 ( ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 190.45/190.65 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 190.45/190.65 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) )
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Int__Collect__mono,axiom,
% 190.45/190.65 ! [V_Q_2,V_Pa_2,V_B_2,V_A_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.65 => ( ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.65 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 190.45/190.65 => hBOOL(hAPP(V_Q_2,B_x)) ) )
% 190.45/190.65 => 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)))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_UnionE,axiom,
% 190.45/190.65 ! [V_C_2,V_A_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ~ ! [B_X] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X))
% 190.45/190.65 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_converseE,axiom,
% 190.45/190.65 ! [V_r_2,V_yx_2,T_c,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ~ ! [B_x,B_y] :
% 190.45/190.65 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x)
% 190.45/190.65 => ~ 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rel__compE,axiom,
% 190.45/190.65 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ~ ! [B_x,B_y,B_z] :
% 190.45/190.65 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)
% 190.45/190.65 => ( 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))
% 190.45/190.65 => ~ 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)) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_setprod__pos,axiom,
% 190.45/190.65 ! [V_f_2,V_A_2,T_b,T_c] :
% 190.45/190.65 ( class_Rings_Olinordered__semidom(T_c)
% 190.45/190.65 => ( ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 190.45/190.65 => 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Nitpick_Oof__frac__def,axiom,
% 190.45/190.65 ! [V_q,T_a,T_b] :
% 190.45/190.65 ( ( class_Rings_Oinverse(T_b)
% 190.45/190.65 & class_Rings_Oring__1(T_b) )
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Nitpick_Oless__frac__def,axiom,
% 190.45/190.65 ! [V_r_2,V_q_2,T_b] :
% 190.45/190.65 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2)
% 190.45/190.65 <=> 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 190.45/190.65 ! [V_r_2,V_q_2,T_b] :
% 190.45/190.65 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2)
% 190.45/190.65 <=> 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Nitpick_Odenom__def,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Nitpick_Onum__def,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_internal__split__def,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_setprod__nonneg,axiom,
% 190.45/190.65 ! [V_f_2,V_A_2,T_b,T_c] :
% 190.45/190.65 ( class_Rings_Olinordered__semidom(T_c)
% 190.45/190.65 => ( ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 190.45/190.65 => 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_internal__split__conv,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_bool_Osize_I1_J,axiom,
% 190.45/190.65 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_bool_Osize_I2_J,axiom,
% 190.45/190.65 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_finite__less__ub,axiom,
% 190.45/190.65 ! [V_u_2,V_f_2] :
% 190.45/190.65 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n)))
% 190.45/190.65 => 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)))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_lenlex__def,axiom,
% 190.45/190.65 ! [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)))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_neq__if__length__neq,axiom,
% 190.45/190.65 ! [V_ys,V_xs,T_a] :
% 190.45/190.65 ( 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)
% 190.45/190.65 => V_xs != V_ys ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_lexn__length,axiom,
% 190.45/190.65 ! [V_na_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_na_2
% 190.45/190.65 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_na_2 ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_lenlex__conv,axiom,
% 190.45/190.65 ! [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)))))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__sublist,axiom,
% 190.45/190.65 ! [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)))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_lexn_Osimps_I2_J,axiom,
% 190.45/190.65 ! [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)))))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_impossible__Cons,axiom,
% 190.45/190.65 ! [V_x,V_ys,V_xs,T_a] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list_Oinject,axiom,
% 190.45/190.65 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] :
% 190.45/190.65 ( 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)
% 190.45/190.65 <=> ( V_a_2 = V_a_H_2
% 190.45/190.65 & V_list_2 = V_list_H_2 ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_not__Cons__self2,axiom,
% 190.45/190.65 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 190.45/190.65
% 190.45/190.65 fof(fact_not__Cons__self,axiom,
% 190.45/190.65 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list_Osize_I4_J,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Cons__in__lex,axiom,
% 190.45/190.65 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 <=> ( ( 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))
% 190.45/190.65 & 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) )
% 190.45/190.65 | ( V_x_2 = V_y_2
% 190.45/190.65 & 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))) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__Cons__def,axiom,
% 190.45/190.65 ! [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)))))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_pick_Osimps,axiom,
% 190.45/190.65 ! [V_xs,V_x,T_a,V_i] :
% 190.45/190.65 ( ( 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)))
% 190.45/190.65 => 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) )
% 190.45/190.65 & ( ~ 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)))
% 190.45/190.65 => 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_select__weight__cons__zero,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_lexord__cons__cons,axiom,
% 190.45/190.65 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 <=> ( 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))
% 190.45/190.65 | ( V_a_2 = V_b_2
% 190.45/190.65 & 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))) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_lexord__lex,axiom,
% 190.45/190.65 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 <=> ( 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)))
% 190.45/190.65 & 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 190.45/190.65 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ( 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))))
% 190.45/190.65 => 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)))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list_Osize_I2_J,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Cons__acc__listrel1I,axiom,
% 190.45/190.65 ! [V_xs_2,V_r_2,V_x_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 190.45/190.65 => ( 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))))
% 190.45/190.65 => 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)))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 190.45/190.65 ! [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)))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel1__converse,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel1__mono,axiom,
% 190.45/190.65 ! [V_s_2,V_r_2,T_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel1I2,axiom,
% 190.45/190.65 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 190.45/190.65 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => 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)))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel1__eq__len,axiom,
% 190.45/190.65 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 190.45/190.65 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_in__listrel1__converse,axiom,
% 190.45/190.65 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 <=> 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)))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Cons__listrel1__Cons,axiom,
% 190.45/190.65 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 <=> ( ( 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))
% 190.45/190.65 & V_xs_2 = V_ys_2 )
% 190.45/190.65 | ( V_x_2 = V_y_2
% 190.45/190.65 & 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))) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel1I1,axiom,
% 190.45/190.65 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel__Cons,axiom,
% 190.45/190.65 ! [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))))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_lexord__linear,axiom,
% 190.45/190.65 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 190.45/190.65 ( ! [B_a,B_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 | B_a = B_b
% 190.45/190.65 | 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)) )
% 190.45/190.65 => ( 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)))
% 190.45/190.65 | V_x_2 = V_y_2
% 190.45/190.65 | 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel__rtrancl__refl,axiom,
% 190.45/190.65 ! [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)))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel__mono,axiom,
% 190.45/190.65 ! [V_s_2,V_r_2,T_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 190.45/190.65 ! [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)))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel__eq__len,axiom,
% 190.45/190.65 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel__rtrancl__trans,axiom,
% 190.45/190.65 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => ( 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))))
% 190.45/190.65 => 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)))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 190.45/190.65 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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)))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel1__subset__listrel,axiom,
% 190.45/190.65 ! [V_r_H_2,V_r_2,T_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2)
% 190.45/190.65 => 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 190.45/190.65 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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)))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel_OCons,axiom,
% 190.45/190.65 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => ( 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)))
% 190.45/190.65 => 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrelp__listrel__eq,axiom,
% 190.45/190.65 ! [V_xa_2,V_x_2,V_r_2,T_b] :
% 190.45/190.65 ( 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)
% 190.45/190.65 <=> 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel__Cons1,axiom,
% 190.45/190.65 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ~ ! [B_y,B_ys] :
% 190.45/190.65 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys)
% 190.45/190.65 => ( 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))
% 190.45/190.65 => ~ 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))) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrelp_Oequations_I2_J,axiom,
% 190.45/190.65 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 190.45/190.65 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrelp_OCons,axiom,
% 190.45/190.65 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 190.45/190.65 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2)
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel__Cons2,axiom,
% 190.45/190.65 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ~ ! [B_x,B_xs] :
% 190.45/190.65 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 190.45/190.65 => ( 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))
% 190.45/190.65 => ~ 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))) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel__subset,axiom,
% 190.45/190.65 ! [V_A_2,V_r_2,T_b] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => 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))))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_lists__UNIV,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_lists__mono,axiom,
% 190.45/190.65 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_equiv__listrel,axiom,
% 190.45/190.65 ! [V_r_2,V_A_2,T_b] :
% 190.45/190.65 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel__refl__on,axiom,
% 190.45/190.65 ! [V_r_2,V_A_2,T_b] :
% 190.45/190.65 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Cons__in__lists__iff,axiom,
% 190.45/190.65 ! [V_A_2,V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.65 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_lists__accI,axiom,
% 190.45/190.65 ! [V_r_2,V_xs_2,T_b] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => 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)))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_lists__accD,axiom,
% 190.45/190.65 ! [V_r_2,V_xs_2,T_b] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => 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)))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel__iff__nth,axiom,
% 190.45/190.65 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 <=> ( 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)
% 190.45/190.65 & ! [B_n] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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)) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_lexord__irreflexive,axiom,
% 190.45/190.65 ! [V_y_2,V_r_2,T_b] :
% 190.45/190.65 ( ! [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))
% 190.45/190.65 => ~ 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_infinite__UNIV__listI,axiom,
% 190.45/190.65 ! [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)))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__eq__iff__nth__eq,axiom,
% 190.45/190.65 ! [T_b,V_ys_2,V_xs_2] :
% 190.45/190.65 ( V_xs_2 = V_ys_2
% 190.45/190.65 <=> ( 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)
% 190.45/190.65 & ! [B_i] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nth__Cons__0,axiom,
% 190.45/190.65 ! [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 ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nth__Cons__Suc,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nth_Osimps,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nth__Cons_H,axiom,
% 190.45/190.65 ! [V_xs,V_x,T_a,V_n] :
% 190.45/190.65 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.65 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 190.45/190.65 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.65 => 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nth__Cons__number__of,axiom,
% 190.45/190.65 ! [V_xs,V_x,T_a,V_v] :
% 190.45/190.65 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.65 => 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 )
% 190.45/190.65 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.65 => 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_lexord__take__index__conv,axiom,
% 190.45/190.65 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 <=> ( ( 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)))
% 190.45/190.65 & 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 )
% 190.45/190.65 | ? [B_i] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2)
% 190.45/190.65 & 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)) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__sublist,axiom,
% 190.45/190.65 ! [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))))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_finite__set,axiom,
% 190.45/190.65 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__subset__Cons,axiom,
% 190.45/190.65 ! [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)))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_take__all,axiom,
% 190.45/190.65 ! [V_n,V_xs,T_a] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__take__subset__set__take,axiom,
% 190.45/190.65 ! [V_xs_2,T_b,V_na_2,V_m_2] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 190.45/190.65 => 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)))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__take__subset,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__sublist__subset,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nth__take,axiom,
% 190.45/190.65 ! [V_xs,T_a,V_n,V_i] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_take__Suc__Cons,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_notin__set__sublistI,axiom,
% 190.45/190.65 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => ~ 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)))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_in__set__takeD,axiom,
% 190.45/190.65 ! [V_xs_2,V_na_2,V_x_2,T_b] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_in__set__sublistD,axiom,
% 190.45/190.65 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__ConsD,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,V_y_2,T_b] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => ( V_y_2 = V_x_2
% 190.45/190.65 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__take,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_take__take,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sublist__upt__eq__take,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_card__length,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_all__set__conv__all__nth,axiom,
% 190.45/190.65 ! [V_Pa_2,V_xs_2,T_b] :
% 190.45/190.65 ( ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.45/190.65 <=> ! [B_i] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__size__estimation,axiom,
% 190.45/190.65 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 190.45/190.65 => 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__size__estimation_H,axiom,
% 190.45/190.65 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 190.45/190.65 => 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_in__lists__conv__set,axiom,
% 190.45/190.65 ! [V_A_2,V_xs_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 190.45/190.65 <=> ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__pos__if__in__set,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nth__mem,axiom,
% 190.45/190.65 ! [V_xs_2,T_b,V_na_2] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_in__set__conv__nth,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 <=> ? [B_i] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_lists__eq__set,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__conv__nth,axiom,
% 190.45/190.65 ! [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))))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_finite__lists__length__eq,axiom,
% 190.45/190.65 ! [V_na_2,V_A_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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))))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_finite__lists__length__le,axiom,
% 190.45/190.65 ! [V_na_2,V_A_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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))))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel__iff__zip,axiom,
% 190.45/190.65 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 <=> ( 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)
% 190.45/190.65 & ! [B_x] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => 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)) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__zip,axiom,
% 190.45/190.65 ! [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)))))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_take__zip,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__zip,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_zip__Cons__Cons,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__eq__iff__zip__eq,axiom,
% 190.45/190.65 ! [T_b,V_ys_2,V_xs_2] :
% 190.45/190.65 ( V_xs_2 = V_ys_2
% 190.45/190.65 <=> ( 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)
% 190.45/190.65 & ! [B_x] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_in__set__zipE,axiom,
% 190.45/190.65 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__zip__rightD,axiom,
% 190.45/190.65 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__zip__leftD,axiom,
% 190.45/190.65 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_zip__same,axiom,
% 190.45/190.65 ! [V_xs_2,V_b_2,V_a_2,T_b] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 & V_a_2 = V_b_2 ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nth__zip,axiom,
% 190.45/190.65 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ( 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)))
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_greaterThanLessThan__upto,axiom,
% 190.45/190.65 ! [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)))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listsum__setsum__nth,axiom,
% 190.45/190.65 ! [V_xs_2,T_b] :
% 190.45/190.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 190.45/190.65 ! [V_ns_2] :
% 190.45/190.65 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.65 <=> ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 190.45/190.65 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_atLeastAtMost__upto,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__upto,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_elem__le__listsum__nat,axiom,
% 190.45/190.65 ! [V_ns,V_k] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listsum__simps_I2_J,axiom,
% 190.45/190.65 ! [V_xs,V_x,T_a] :
% 190.45/190.65 ( class_Groups_Omonoid__add(T_a)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_atLeastLessThan__upto,axiom,
% 190.45/190.65 ! [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)))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_greaterThanAtMost__upto,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nat__list__def,axiom,
% 190.45/190.65 ! [V_l_2] :
% 190.45/190.65 ( c_List_Onat__list(V_l_2)
% 190.45/190.65 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__size__pointwise,axiom,
% 190.45/190.65 ! [V_g_2,V_f_2,V_xs_2,T_b] :
% 190.45/190.65 ( ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listsum__update__nat,axiom,
% 190.45/190.65 ! [V_n,V_ns,V_k] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_butlast__take,axiom,
% 190.45/190.65 ! [V_xs,T_a,V_n] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__update__beyond,axiom,
% 190.45/190.65 ! [V_x,V_i,V_xs,T_a] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__update__id,axiom,
% 190.45/190.65 ! [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 ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nth__list__update__neq,axiom,
% 190.45/190.65 ! [V_x,V_xs,T_a,V_j,V_i] :
% 190.45/190.65 ( V_i != V_j
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_butlast__list__update,axiom,
% 190.45/190.65 ! [V_x,V_xs,T_a,V_k] :
% 190.45/190.65 ( ( 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))
% 190.45/190.65 => 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) )
% 190.45/190.65 & ( 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))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__list__update,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_zip__update,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_update__zip,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__update__swap,axiom,
% 190.45/190.65 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 190.45/190.65 ( V_i != V_i_H
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__update__overwrite,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__update__code_I2_J,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__update__code_I3_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__update_Osimps_I2_J,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_in__set__butlastD,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__update__subsetI,axiom,
% 190.45/190.65 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__update__subset__insert,axiom,
% 190.45/190.65 ! [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)))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nth__list__update__eq,axiom,
% 190.45/190.65 ! [V_x,V_xs,T_a,V_i] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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 ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__update__same__conv,axiom,
% 190.45/190.65 ! [V_x_2,V_xs_2,T_b,V_i_2] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 190.45/190.65 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nth__list__update,axiom,
% 190.45/190.65 ! [V_x,V_j,V_xs,T_a,V_i] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ( ( V_i = V_j
% 190.45/190.65 => 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 )
% 190.45/190.65 & ( V_i != V_j
% 190.45/190.65 => 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) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_take__butlast,axiom,
% 190.45/190.65 ! [V_xs,T_a,V_n] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__butlast,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__update__memI,axiom,
% 190.45/190.65 ! [V_x_2,V_xs_2,T_b,V_na_2] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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)))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_butlast__conv__take,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel1__iff__update,axiom,
% 190.45/190.65 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 <=> ? [B_y,B_n] :
% 190.45/190.65 ( 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))
% 190.45/190.65 & 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)))
% 190.45/190.65 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__list__update,axiom,
% 190.45/190.65 ! [V_i_2,V_a_2,V_xs_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 190.45/190.65 => ( ~ 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))))))
% 190.45/190.65 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__upto,axiom,
% 190.45/190.65 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__take,axiom,
% 190.45/190.65 ! [V_i,V_xs,T_a] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 190.45/190.65 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__sublistI,axiom,
% 190.45/190.65 ! [V_I_2,V_xs_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 190.45/190.65 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__zipI2,axiom,
% 190.45/190.65 ! [V_xs,T_b,V_ys,T_a] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 190.45/190.65 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__zipI1,axiom,
% 190.45/190.65 ! [V_ys,T_b,V_xs,T_a] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 190.45/190.65 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct_Osimps_I2_J,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))
% 190.45/190.65 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_card__distinct,axiom,
% 190.45/190.65 ! [V_xs_2,T_b] :
% 190.45/190.65 ( 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)
% 190.45/190.65 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__card,axiom,
% 190.45/190.65 ! [V_xs_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nth__eq__iff__index__eq,axiom,
% 190.45/190.65 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 190.45/190.65 => ( 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)))
% 190.45/190.65 => ( 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)))
% 190.45/190.65 => ( 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)
% 190.45/190.65 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__conv__nth,axiom,
% 190.45/190.65 ! [V_xs_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 190.45/190.65 <=> ! [B_i] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ! [B_j] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ( B_i != B_j
% 190.45/190.65 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 190.45/190.65 ! [V_xs_2,T_b] :
% 190.45/190.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Nitpick_Ocard_H__def,axiom,
% 190.45/190.65 ! [V_A_2,T_b] :
% 190.45/190.65 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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)))) )
% 190.45/190.65 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nth__take__lemma,axiom,
% 190.45/190.65 ! [V_ys,V_xs,T_a,V_k] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ( 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)))
% 190.45/190.65 => ( ! [B_i] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 190.45/190.65 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 190.45/190.65 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__remove1__eq,axiom,
% 190.45/190.65 ! [V_x_2,V_xs_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 190.45/190.65 => 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)))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_take__Cons__number__of,axiom,
% 190.45/190.65 ! [V_xs,V_x,T_a,V_v] :
% 190.45/190.65 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.65 => 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) )
% 190.45/190.65 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_lists_ONil,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel__Nil2,axiom,
% 190.45/190.65 ! [V_r_2,V_xs_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel__Nil1,axiom,
% 190.45/190.65 ! [V_r_2,V_xs_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__butlast,axiom,
% 190.45/190.65 ! [T_a,V_xs] :
% 190.45/190.65 ( V_xs != c_List_Olist_ONil(T_a)
% 190.45/190.65 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 190.45/190.65 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct_Osimps_I1_J,axiom,
% 190.45/190.65 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__remove1,axiom,
% 190.45/190.65 ! [V_x,V_xs,T_a] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 190.45/190.65 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_butlast_Osimps_I1_J,axiom,
% 190.45/190.65 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_butlast_Osimps_I2_J,axiom,
% 190.45/190.65 ! [V_x,T_a,V_xs] :
% 190.45/190.65 ( ( V_xs = c_List_Olist_ONil(T_a)
% 190.45/190.65 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 190.45/190.65 & ( V_xs != c_List_Olist_ONil(T_a)
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_remove1_Osimps_I2_J,axiom,
% 190.45/190.65 ! [V_xs,T_a,V_y,V_x] :
% 190.45/190.65 ( ( V_x = V_y
% 190.45/190.65 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 190.45/190.65 & ( V_x != V_y
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list_Osimps_I3_J,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list_Osimps_I2_J,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_upto__empty,axiom,
% 190.45/190.65 ! [V_i,V_j] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 190.45/190.65 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_take__eq__Nil,axiom,
% 190.45/190.65 ! [V_xs_2,V_na_2,T_b] :
% 190.45/190.65 ( hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 190.45/190.65 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.65 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_take__0,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_take__Nil,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sublist__nil,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_remove1_Osimps_I1_J,axiom,
% 190.45/190.65 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_remove1__commute,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrelp_ONil,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrelp_Oequations_I1_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_zip_Osimps_I1_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_zip__Nil,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listsum__simps_I1_J,axiom,
% 190.45/190.65 ! [T_a] :
% 190.45/190.65 ( class_Groups_Omonoid__add(T_a)
% 190.45/190.65 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list_Osize_I3_J,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__0__conv,axiom,
% 190.45/190.65 ! [V_xs_2,T_b] :
% 190.45/190.65 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.65 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__empty2,axiom,
% 190.45/190.65 ! [V_xs_2,T_b] :
% 190.45/190.65 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2)
% 190.45/190.65 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__empty,axiom,
% 190.45/190.65 ! [V_xs_2,T_b] :
% 190.45/190.65 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.65 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__update__nonempty,axiom,
% 190.45/190.65 ! [V_x_2,V_k_2,V_xs_2,T_b] :
% 190.45/190.65 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b)
% 190.45/190.65 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__update_Osimps_I1_J,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__update__code_I1_J,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list_Osize_I1_J,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_remove1__idem,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_notin__set__remove1,axiom,
% 190.45/190.65 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => ~ 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)))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_in__set__remove1,axiom,
% 190.45/190.65 ! [V_xs_2,T_b,V_b_2,V_a_2] :
% 190.45/190.65 ( V_a_2 != V_b_2
% 190.45/190.65 => ( 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))))
% 190.45/190.65 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sublist__empty,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__remove1__subset,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__greater__0__conv,axiom,
% 190.45/190.65 ! [V_xs_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_take__1__Cons,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_not__listrel1__Nil,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_not__Nil__listrel1,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel_ONil,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_lexord__Nil__right,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Nil2__notin__lex,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Nil__notin__lex,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_take__Cons,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_upto_Osimps,axiom,
% 190.45/190.65 ! [V_j,V_i] :
% 190.45/190.65 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 190.45/190.65 => 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)) )
% 190.45/190.65 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 190.45/190.65 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sublist__singleton,axiom,
% 190.45/190.65 ! [V_x_2,T_b,V_A_2] :
% 190.45/190.65 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 190.45/190.65 => 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)) )
% 190.45/190.65 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_lists__empty,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_take__Cons_H,axiom,
% 190.45/190.65 ! [V_xs,V_x,T_a,V_n] :
% 190.45/190.65 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.65 => 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) )
% 190.45/190.65 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_upto__rec__number__of,axiom,
% 190.45/190.65 ! [V_n,V_m] :
% 190.45/190.65 ( ( 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)))
% 190.45/190.65 => 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))) )
% 190.45/190.65 & ( ~ 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)))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel__Nil,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__Cons__sing__Nil,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__remove1,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => 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)) )
% 190.45/190.65 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_upto_Opsimps,axiom,
% 190.45/190.65 ! [V_j_2,V_i_2] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 190.45/190.65 => 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)) )
% 190.45/190.65 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 190.45/190.65 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_select,axiom,
% 190.45/190.65 ! [V_s_2,T_b,V_xs_2] :
% 190.45/190.65 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listset_Osimps_I1_J,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_zip__Cons,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list_Osimps_I5_J,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list_Osimps_I4_J,axiom,
% 190.45/190.65 ! [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 ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listset_Osimps_I2_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_zip__Cons1,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sorted__list__of__set__remove,axiom,
% 190.45/190.65 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_upto_Opinduct,axiom,
% 190.45/190.65 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ( ! [B_i,B_j] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 190.45/190.65 => 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)) )
% 190.45/190.65 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) )
% 190.45/190.65 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sorted__list__of__set__empty,axiom,
% 190.45/190.65 ! [T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_anamorph_Osimps,axiom,
% 190.45/190.65 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 190.45/190.65 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 190.45/190.65 => 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) )
% 190.45/190.65 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sublist__Cons,axiom,
% 190.45/190.65 ! [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)))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_append1__eq__conv,axiom,
% 190.45/190.65 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 <=> ( V_xs_2 = V_ys_2
% 190.45/190.65 & V_x_2 = V_y_2 ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Cons__eq__append__conv,axiom,
% 190.45/190.65 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( 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)
% 190.45/190.65 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 190.45/190.65 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 )
% 190.45/190.65 | ? [B_ys_H] :
% 190.45/190.65 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2
% 190.45/190.65 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_append__eq__Cons__conv,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] :
% 190.45/190.65 ( 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)
% 190.45/190.65 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 190.45/190.65 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) )
% 190.45/190.65 | ? [B_ys_H] :
% 190.45/190.65 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H)
% 190.45/190.65 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Cons__eq__appendI,axiom,
% 190.45/190.65 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 190.45/190.65 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 190.45/190.65 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 190.45/190.65 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_append__Cons,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_append__in__lists__conv,axiom,
% 190.45/190.65 ! [V_A_2,V_ys_2,V_xs_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 190.45/190.65 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_append__assoc,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_append__eq__append__conv2,axiom,
% 190.45/190.65 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] :
% 190.45/190.65 ( 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)
% 190.45/190.65 <=> ? [B_us] :
% 190.45/190.65 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us)
% 190.45/190.65 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 )
% 190.45/190.65 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2
% 190.45/190.65 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_same__append__eq,axiom,
% 190.45/190.65 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 190.45/190.65 ( 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)
% 190.45/190.65 <=> V_ys_2 = V_zs_2 ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_append__same__eq,axiom,
% 190.45/190.65 ! [V_zs_2,V_xs_2,V_ys_2,T_b] :
% 190.45/190.65 ( 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)
% 190.45/190.65 <=> V_ys_2 = V_zs_2 ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_append__eq__appendI,axiom,
% 190.45/190.65 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 190.45/190.65 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 190.45/190.65 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 190.45/190.65 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listsum__append,axiom,
% 190.45/190.65 ! [V_ys,V_xs,T_a] :
% 190.45/190.65 ( class_Groups_Omonoid__add(T_a)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__append,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_zip__append,axiom,
% 190.45/190.65 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 190.45/190.65 ( 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)
% 190.45/190.65 => ( 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)
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__append,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_eq__Nil__appendI,axiom,
% 190.45/190.65 ! [T_a,V_ys,V_xs] :
% 190.45/190.65 ( V_xs = V_ys
% 190.45/190.65 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_append__self__conv2,axiom,
% 190.45/190.65 ! [V_ys_2,V_xs_2,T_b] :
% 190.45/190.65 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2
% 190.45/190.65 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_append__self__conv,axiom,
% 190.45/190.65 ! [V_ys_2,V_xs_2,T_b] :
% 190.45/190.65 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2
% 190.45/190.65 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_append__is__Nil__conv,axiom,
% 190.45/190.65 ! [V_ys_2,V_xs_2,T_b] :
% 190.45/190.65 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b)
% 190.45/190.65 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 190.45/190.65 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_self__append__conv2,axiom,
% 190.45/190.65 ! [V_xs_2,T_b,V_ys_2] :
% 190.45/190.65 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 190.45/190.65 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_self__append__conv,axiom,
% 190.45/190.65 ! [V_ys_2,T_b,V_xs_2] :
% 190.45/190.65 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 190.45/190.65 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_append__Nil2,axiom,
% 190.45/190.65 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Nil__is__append__conv,axiom,
% 190.45/190.65 ! [V_ys_2,V_xs_2,T_b] :
% 190.45/190.65 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 190.45/190.65 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 190.45/190.65 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_append__Nil,axiom,
% 190.45/190.65 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 190.45/190.65
% 190.45/190.65 fof(fact_butlast__append,axiom,
% 190.45/190.65 ! [V_xs,T_a,V_ys] :
% 190.45/190.65 ( ( V_ys = c_List_Olist_ONil(T_a)
% 190.45/190.65 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 190.45/190.65 & ( V_ys != c_List_Olist_ONil(T_a)
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nth__append__length,axiom,
% 190.45/190.65 ! [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 ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nth__append__length__plus,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_take__append,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__update__append1,axiom,
% 190.45/190.65 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__update__length,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_remove1__append,axiom,
% 190.45/190.65 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => 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) )
% 190.45/190.65 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_in__set__butlast__appendI,axiom,
% 190.45/190.65 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 190.45/190.65 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) )
% 190.45/190.65 => 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))))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_butlast__snoc,axiom,
% 190.45/190.65 ! [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 ).
% 190.45/190.65
% 190.45/190.65 fof(fact_append__listrel1I,axiom,
% 190.45/190.65 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 190.45/190.65 ( ( ( 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)))
% 190.45/190.65 & V_us_2 = V_vs_2 )
% 190.45/190.65 | ( V_xs_2 = V_ys_2
% 190.45/190.65 & 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))) ) )
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_lexord__append__leftI,axiom,
% 190.45/190.65 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__append,axiom,
% 190.45/190.65 ! [V_ys_2,V_xs_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 190.45/190.65 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 190.45/190.65 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 190.45/190.65 & 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nth__append,axiom,
% 190.45/190.65 ! [V_ys,V_xs,T_a,V_n] :
% 190.45/190.65 ( ( 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)))
% 190.45/190.65 => 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) )
% 190.45/190.65 & ( ~ 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)))
% 190.45/190.65 => 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__update__append,axiom,
% 190.45/190.65 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 190.45/190.65 ( ( 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)))
% 190.45/190.65 => 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) )
% 190.45/190.65 & ( ~ 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)))
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sublist__append,axiom,
% 190.45/190.65 ! [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)))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel1I,axiom,
% 190.45/190.65 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => ( 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))
% 190.45/190.65 => ( 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))
% 190.45/190.65 => 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))) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_lexord__append__left__rightI,axiom,
% 190.45/190.65 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_take__Suc__conv__app__nth,axiom,
% 190.45/190.65 ! [V_xs,T_a,V_i] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 190.45/190.65 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 <=> ( ( 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)))
% 190.45/190.65 & V_x_2 = V_y_2 )
% 190.45/190.65 | ( V_xs_2 = V_ys_2
% 190.45/190.65 & 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)) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listrel1E,axiom,
% 190.45/190.65 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ~ ! [B_x,B_y] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => ! [B_us,B_vs] :
% 190.45/190.65 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs))
% 190.45/190.65 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_lexord__append__leftD,axiom,
% 190.45/190.65 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ( ! [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))
% 190.45/190.65 => 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rotate1__def,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_upd__conv__take__nth__drop,axiom,
% 190.45/190.65 ! [V_a,V_xs,T_a,V_i] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_append__take__drop__id,axiom,
% 190.45/190.65 ! [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 ).
% 190.45/190.65
% 190.45/190.65 fof(fact_drop__1__Cons,axiom,
% 190.45/190.65 ! [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 ).
% 190.45/190.65
% 190.45/190.65 fof(fact_drop__Suc__Cons,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nth__via__drop,axiom,
% 190.45/190.65 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 190.45/190.65 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 190.45/190.65 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct1__rotate,axiom,
% 190.45/190.65 ! [V_xs_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)))
% 190.45/190.65 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__drop,axiom,
% 190.45/190.65 ! [V_i,V_xs,T_a] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 190.45/190.65 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_drop__butlast,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_butlast__drop,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_take__drop,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_drop__take,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_drop__drop,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_drop__0,axiom,
% 190.45/190.65 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 190.45/190.65
% 190.45/190.65 fof(fact_drop__zip,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__rotate1,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__drop,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__rotate1,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_in__set__dropD,axiom,
% 190.45/190.65 ! [V_xs_2,V_na_2,V_x_2,T_b] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__drop__subset,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rotate1__is__Nil__conv,axiom,
% 190.45/190.65 ! [V_xs_2,T_b] :
% 190.45/190.65 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 190.45/190.65 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_drop__Nil,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__drop__subset__set__drop,axiom,
% 190.45/190.65 ! [V_xs_2,T_b,V_m_2,V_na_2] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2))
% 190.45/190.65 => 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)))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_drop__all,axiom,
% 190.45/190.65 ! [V_n,V_xs,T_a] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_drop__eq__Nil,axiom,
% 190.45/190.65 ! [V_xs_2,V_na_2,T_b] :
% 190.45/190.65 ( hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 190.45/190.65 <=> 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_drop__append,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_append__eq__conv__conj,axiom,
% 190.45/190.65 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 190.45/190.65 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2
% 190.45/190.65 <=> ( 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)
% 190.45/190.65 & 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_drop__Cons,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_drop__Cons_H,axiom,
% 190.45/190.65 ! [V_xs,V_x,T_a,V_n] :
% 190.45/190.65 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.65 => 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) )
% 190.45/190.65 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nth__drop,axiom,
% 190.45/190.65 ! [V_xs,T_a,V_i,V_n] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_append__eq__append__conv__if,axiom,
% 190.45/190.65 ! [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] :
% 190.45/190.65 ( 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)
% 190.45/190.65 <=> ( ( 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)))
% 190.45/190.65 => ( 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)
% 190.45/190.65 & 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) ) )
% 190.45/190.65 & ( ~ 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)))
% 190.45/190.65 => ( 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
% 190.45/190.65 & 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 ) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nth__drop_H,axiom,
% 190.45/190.65 ! [V_xs,T_a,V_i] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rotate__simps,axiom,
% 190.45/190.65 ! [V_xs,V_x,T_b,T_a] :
% 190.45/190.65 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 190.45/190.65 & 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_drop__Cons__number__of,axiom,
% 190.45/190.65 ! [V_xs,V_x,T_a,V_v] :
% 190.45/190.65 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.65 => 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) )
% 190.45/190.65 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_take__add,axiom,
% 190.45/190.65 ! [V_xs,T_a,V_j,V_i] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rotate1__length01,axiom,
% 190.45/190.65 ! [V_xs,T_a] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_zip__append1,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_zip__append2,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_id__take__nth__drop,axiom,
% 190.45/190.65 ! [V_xs,T_a,V_i] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_take__hd__drop,axiom,
% 190.45/190.65 ! [V_xs,T_a,V_n] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_hd__drop__conv__nth,axiom,
% 190.45/190.65 ! [V_n,T_a,V_xs] :
% 190.45/190.65 ( V_xs != c_List_Olist_ONil(T_a)
% 190.45/190.65 => ( 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)))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_hd_Osimps,axiom,
% 190.45/190.65 ! [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 ).
% 190.45/190.65
% 190.45/190.65 fof(fact_hd__append,axiom,
% 190.45/190.65 ! [V_ys,T_a,V_xs] :
% 190.45/190.65 ( ( V_xs = c_List_Olist_ONil(T_a)
% 190.45/190.65 => 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) )
% 190.45/190.65 & ( V_xs != c_List_Olist_ONil(T_a)
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_hd__append2,axiom,
% 190.45/190.65 ! [V_ys,T_a,V_xs] :
% 190.45/190.65 ( V_xs != c_List_Olist_ONil(T_a)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_hd__in__set,axiom,
% 190.45/190.65 ! [T_b,V_xs_2] :
% 190.45/190.65 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_hd__conv__nth,axiom,
% 190.45/190.65 ! [T_a,V_xs] :
% 190.45/190.65 ( V_xs != c_List_Olist_ONil(T_a)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rotate1__hd__tl,axiom,
% 190.45/190.65 ! [T_a,V_xs] :
% 190.45/190.65 ( V_xs != c_List_Olist_ONil(T_a)
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_hd__rotate__conv__nth,axiom,
% 190.45/190.65 ! [V_n,T_a,V_xs] :
% 190.45/190.65 ( V_xs != c_List_Olist_ONil(T_a)
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_tl__drop,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_drop__tl,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_tl_Osimps_I2_J,axiom,
% 190.45/190.65 ! [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 ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__rotate,axiom,
% 190.45/190.65 ! [V_xs_2,V_na_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2)))
% 190.45/190.65 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__tl,axiom,
% 190.45/190.65 ! [V_xs,T_a] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 190.45/190.65 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rotate__add,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rotate__rotate,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rotate0,axiom,
% 190.45/190.65 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__rotate,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__rotate,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rotate__is__Nil__conv,axiom,
% 190.45/190.65 ! [V_xs_2,V_na_2,T_b] :
% 190.45/190.65 ( hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 190.45/190.65 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_tl_Osimps_I1_J,axiom,
% 190.45/190.65 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rotate1__rotate__swap,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rotate__def,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_tl__append2,axiom,
% 190.45/190.65 ! [V_ys,T_a,V_xs] :
% 190.45/190.65 ( V_xs != c_List_Olist_ONil(T_a)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_take__tl,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rotate__conv__mod,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_drop__Suc,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rotate__Suc,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_tl__append,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rotate__id,axiom,
% 190.45/190.65 ! [V_xs,T_a,V_n] :
% 190.45/190.65 ( 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)
% 190.45/190.65 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rotate__length01,axiom,
% 190.45/190.65 ! [V_n,V_xs,T_a] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__tl,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_tl__take,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_take__Suc,axiom,
% 190.45/190.65 ! [V_n,T_a,V_xs] :
% 190.45/190.65 ( V_xs != c_List_Olist_ONil(T_a)
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rotate__drop__take,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fold1__set,axiom,
% 190.45/190.65 ! [V_xs_2,T_b] :
% 190.45/190.65 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 190.45/190.65 => ( V_xs_2 != c_List_Olist_ONil(T_b)
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_lexord__append__rightI,axiom,
% 190.45/190.65 ! [V_r_2,V_x_2,T_b,V_y_2] :
% 190.45/190.65 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z)
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_foldl__Nil,axiom,
% 190.45/190.65 ! [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 ).
% 190.45/190.65
% 190.45/190.65 fof(fact_start__le__sum,axiom,
% 190.45/190.65 ! [V_ns_2,V_na_2,V_m_2] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_foldl__absorb0,axiom,
% 190.45/190.65 ! [V_zs_2,V_x_2,T_b] :
% 190.45/190.65 ( class_Groups_Omonoid__add(T_b)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_foldl__assoc,axiom,
% 190.45/190.65 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 190.45/190.65 ( class_Groups_Osemigroup__add(T_b)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_foldl__Cons,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_foldl__append,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listsum__foldl,axiom,
% 190.45/190.65 ! [T_b] :
% 190.45/190.65 ( class_Groups_Omonoid__add(T_b)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sum__eq__0__conv,axiom,
% 190.45/190.65 ! [V_ns_2,V_m_2] :
% 190.45/190.65 ( 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)
% 190.45/190.65 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.65 & ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 190.45/190.65 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 190.45/190.65 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Sup__set__fold,axiom,
% 190.45/190.65 ! [V_xs_2,T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Inf__set__fold,axiom,
% 190.45/190.65 ! [V_xs_2,T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Sup__fin__set__fold,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( class_Lattices_Olattice(T_b)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Inf__fin__set__fold,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( class_Lattices_Olattice(T_b)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Min__fin__set__fold,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Max__fin__set__fold,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_SUPR__set__fold,axiom,
% 190.45/190.65 ! [V_f_2,V_xs_2,T_c,T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_INFI__set__fold,axiom,
% 190.45/190.65 ! [V_f_2,V_xs_2,T_c,T_b] :
% 190.45/190.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_elem__le__sum,axiom,
% 190.45/190.65 ! [V_ns_2,V_na_2] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_na_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sorted__list__of__set__insert,axiom,
% 190.45/190.65 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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)))))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_lexord__Nil__left,axiom,
% 190.45/190.65 ! [V_r_2,V_y_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_insort__key_Osimps_I2_J,axiom,
% 190.45/190.65 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => ( ( 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)))
% 190.45/190.65 => 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)) )
% 190.45/190.65 & ( ~ 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)))
% 190.45/190.65 => 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)) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__insort,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_c)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__insort,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_c)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fun__left__comm__insort,axiom,
% 190.45/190.65 ! [T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_insort__key__left__comm,axiom,
% 190.45/190.65 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_insort__left__comm,axiom,
% 190.45/190.65 ! [V_xs_2,V_y_2,V_x_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_remove1__insort,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => 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 ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_insort__not__Nil,axiom,
% 190.45/190.65 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_c)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_insort__key_Osimps_I1_J,axiom,
% 190.45/190.65 ! [V_x_2,V_f_2,T_b,T_c] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_c)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__insort,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_c)
% 190.45/190.65 => ( 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)))
% 190.45/190.65 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_insort__insert__insort__key,axiom,
% 190.45/190.65 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => ( ~ 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))))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_insort__insert__insort,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__insort__insert,axiom,
% 190.45/190.65 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_c)
% 190.45/190.65 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 190.45/190.65 => 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_insort__insert__triv,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__insort__insert,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_insort__insert__key__triv,axiom,
% 190.45/190.65 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => ( 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))))
% 190.45/190.65 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_last__list__update,axiom,
% 190.45/190.65 ! [V_x,V_k,T_a,V_xs] :
% 190.45/190.65 ( V_xs != c_List_Olist_ONil(T_a)
% 190.45/190.65 => ( ( 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))
% 190.45/190.65 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 190.45/190.65 & ( 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))
% 190.45/190.65 => 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) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_last__conv__nth,axiom,
% 190.45/190.65 ! [T_a,V_xs] :
% 190.45/190.65 ( V_xs != c_List_Olist_ONil(T_a)
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_last__ConsL,axiom,
% 190.45/190.65 ! [V_x,T_a,V_xs] :
% 190.45/190.65 ( V_xs = c_List_Olist_ONil(T_a)
% 190.45/190.65 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_last__ConsR,axiom,
% 190.45/190.65 ! [V_x,T_a,V_xs] :
% 190.45/190.65 ( V_xs != c_List_Olist_ONil(T_a)
% 190.45/190.65 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_last_Osimps,axiom,
% 190.45/190.65 ! [V_x,T_a,V_xs] :
% 190.45/190.65 ( ( V_xs = c_List_Olist_ONil(T_a)
% 190.45/190.65 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 190.45/190.65 & ( V_xs != c_List_Olist_ONil(T_a)
% 190.45/190.65 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_last__appendL,axiom,
% 190.45/190.65 ! [V_xs,T_a,V_ys] :
% 190.45/190.65 ( V_ys = c_List_Olist_ONil(T_a)
% 190.45/190.65 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_last__appendR,axiom,
% 190.45/190.65 ! [V_xs,T_a,V_ys] :
% 190.45/190.65 ( V_ys != c_List_Olist_ONil(T_a)
% 190.45/190.65 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_last__append,axiom,
% 190.45/190.65 ! [V_xs,T_a,V_ys] :
% 190.45/190.65 ( ( V_ys = c_List_Olist_ONil(T_a)
% 190.45/190.65 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 190.45/190.65 & ( V_ys != c_List_Olist_ONil(T_a)
% 190.45/190.65 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_last__in__set,axiom,
% 190.45/190.65 ! [T_b,V_as_2] :
% 190.45/190.65 ( V_as_2 != c_List_Olist_ONil(T_b)
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_last__snoc,axiom,
% 190.45/190.65 ! [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 ).
% 190.45/190.65
% 190.45/190.65 fof(fact_last__drop,axiom,
% 190.45/190.65 ! [V_xs,T_a,V_n] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_snoc__eq__iff__butlast,axiom,
% 190.45/190.65 ! [V_ys_2,V_x_2,V_xs_2,T_b] :
% 190.45/190.65 ( 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
% 190.45/190.65 <=> ( V_ys_2 != c_List_Olist_ONil(T_b)
% 190.45/190.65 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2
% 190.45/190.65 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_append__butlast__last__id,axiom,
% 190.45/190.65 ! [T_a,V_xs] :
% 190.45/190.65 ( V_xs != c_List_Olist_ONil(T_a)
% 190.45/190.65 => 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 ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_lists_Osimps,axiom,
% 190.45/190.65 ! [V_A_2,V_a_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2)))
% 190.45/190.65 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 190.45/190.65 | ? [B_a,B_l] :
% 190.45/190.65 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l)
% 190.45/190.65 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 190.45/190.65 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_select__weigth__select,axiom,
% 190.45/190.65 ! [T_b,V_xs_2] :
% 190.45/190.65 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_inj__mapI,axiom,
% 190.45/190.65 ! [V_f_2,T_c,T_b] :
% 190.45/190.65 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_last__map,axiom,
% 190.45/190.65 ! [V_f_2,T_c,T_b,V_xs_2] :
% 190.45/190.65 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_foldl__map,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_map__tl,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_rotate__map,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_zip__map__map,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_zip__map1,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_map__zip__map,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_map__zip__map2,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_zip__map2,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_zip__same__conv__map,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Nil__is__map__conv,axiom,
% 190.45/190.65 ! [V_xs_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)
% 190.45/190.65 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_map_Osimps_I1_J,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_map__is__Nil__conv,axiom,
% 190.45/190.65 ! [V_xs_2,V_f_2,T_b,T_c] :
% 190.45/190.65 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 190.45/190.65 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_map__update,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_map__eq__conv,axiom,
% 190.45/190.65 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] :
% 190.45/190.65 ( 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)
% 190.45/190.65 <=> ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 190.45/190.65 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__map,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_map__eq__imp__length__eq,axiom,
% 190.45/190.65 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] :
% 190.45/190.65 ( 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)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listsum__0,axiom,
% 190.45/190.65 ! [V_xs_2,T_c,T_b] :
% 190.45/190.65 ( class_Groups_Omonoid__add(T_b)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listsum__const__mult,axiom,
% 190.45/190.65 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] :
% 190.45/190.65 ( class_Rings_Osemiring__0(T_b)
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listsum__mult__const,axiom,
% 190.45/190.65 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( class_Rings_Osemiring__0(T_b)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listsum__subtractf,axiom,
% 190.45/190.65 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( class_Groups_Oab__group__add(T_b)
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listsum__addf,axiom,
% 190.45/190.65 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_map__injective,axiom,
% 190.45/190.65 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 190.45/190.65 ( 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)
% 190.45/190.65 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 190.45/190.65 => V_xs_2 = V_ys_2 ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_inj__map__eq__map,axiom,
% 190.45/190.65 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.65 => ( 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)
% 190.45/190.65 <=> V_xs_2 = V_ys_2 ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_map__ident,axiom,
% 190.45/190.65 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ).
% 190.45/190.65
% 190.45/190.65 fof(fact_take__map,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_map__butlast,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__map,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_map_Osimps_I2_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_map__append,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_hd__map,axiom,
% 190.45/190.65 ! [V_f_2,T_c,T_b,V_xs_2] :
% 190.45/190.65 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_drop__map,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_map__map,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_List_Omap_Ocompositionality,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_map__comp__map,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_List_Omap_Ocomp,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_List_Omap_Oidentity,axiom,
% 190.45/190.65 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__size__map,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_List_Omap_Oid,axiom,
% 190.45/190.65 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_inj__on__map__eq__map,axiom,
% 190.45/190.65 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ( 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)
% 190.45/190.65 <=> V_xs_2 = V_ys_2 ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_map__inj__on,axiom,
% 190.45/190.65 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 190.45/190.65 ( 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)
% 190.45/190.65 => ( 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)))
% 190.45/190.65 => V_xs_2 = V_ys_2 ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nth__map,axiom,
% 190.45/190.65 ! [V_f_2,T_c,V_xs_2,T_b,V_na_2] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_map__fun__upd,axiom,
% 190.45/190.65 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] :
% 190.45/190.65 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__map,axiom,
% 190.45/190.65 ! [V_xs_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 190.45/190.65 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 190.45/190.65 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listsum__abs,axiom,
% 190.45/190.65 ! [V_xs_2,T_b] :
% 190.45/190.65 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 190.45/190.65 => 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)))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_uminus__listsum__map,axiom,
% 190.45/190.65 ! [V_xs_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( class_Groups_Oab__group__add(T_b)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_inj__on__mapI,axiom,
% 190.45/190.65 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_inj__map,axiom,
% 190.45/190.65 ! [V_f_2,T_c,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_inj__mapD,axiom,
% 190.45/190.65 ! [V_f_2,T_c,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 190.45/190.65 ! [V_f_2,V_xs_2,T_b,T_c] :
% 190.45/190.65 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.65 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listsum__triv,axiom,
% 190.45/190.65 ! [V_xs_2,V_r_2,T_c,T_b] :
% 190.45/190.65 ( class_Rings_Osemiring__1(T_b)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listsum__map__remove1,axiom,
% 190.45/190.65 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] :
% 190.45/190.65 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => 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)))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 190.45/190.65 ! [V_f_2,V_A_2,T_b,T_c] :
% 190.45/190.65 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.65 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => 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))))) )
% 190.45/190.65 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.65 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_pick__same,axiom,
% 190.45/190.65 ! [V_xs_2,T_b,V_l_2] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_zero__code__numeral__def,axiom,
% 190.45/190.65 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 190.45/190.65 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 190.45/190.65 ! [V_m_2,V_na_2] :
% 190.45/190.65 ( hAPP(c_Code__Numeral_Oof__nat,V_na_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 190.45/190.65 <=> V_na_2 = V_m_2 ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_times__code__numeral__code,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_one__code__numeral__def,axiom,
% 190.45/190.65 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_less__code__numeral__code,axiom,
% 190.45/190.65 ! [V_m_2,V_na_2] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 190.45/190.65 ! [V_y_2,V_x_2] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 190.45/190.65 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 190.45/190.65 <=> V_x_2 = V_y_2 ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_map__fst__zip,axiom,
% 190.45/190.65 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 190.45/190.65 ( 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)
% 190.45/190.65 => 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 ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_map__snd__zip,axiom,
% 190.45/190.65 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 190.45/190.65 ( 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)
% 190.45/190.65 => 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 ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_number__of__code__numeral__def,axiom,
% 190.45/190.65 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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_zip__map__fst__snd,axiom,
% 190.45/190.65 ! [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 ).
% 190.45/190.65
% 190.45/190.65 fof(fact_plus__code__numeral__code,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_less__eq__code__numeral__code,axiom,
% 190.45/190.65 ! [V_m_2,V_na_2] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_pick__member,axiom,
% 190.45/190.65 ! [V_xs_2,T_b,V_i_2] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => 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)))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_zip__eq__conv,axiom,
% 190.45/190.65 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] :
% 190.45/190.65 ( 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)
% 190.45/190.65 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2
% 190.45/190.65 <=> ( 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
% 190.45/190.65 & 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 ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__size__conv__listsum,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_code__numeral__not__eq__zero,axiom,
% 190.45/190.65 ! [V_i_2] :
% 190.45/190.65 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 190.45/190.65 <=> 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 190.45/190.65 ! [V_l_2,V_k_2,V_f_2,T_b] :
% 190.45/190.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 190.45/190.65 ! [V_j_2,V_i_2,V_f_2,T_b] :
% 190.45/190.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_select__weight__member,axiom,
% 190.45/190.65 ! [V_s_2,V_xs_2,T_b] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => 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)))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_select__weight__def,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_select__def,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_subtract__code__numeral__code,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nat__of__of__nat,axiom,
% 190.45/190.65 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 190.45/190.65
% 190.45/190.65 fof(fact_of__nat__nat__of,axiom,
% 190.45/190.65 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nat__of__inverse,axiom,
% 190.45/190.65 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 190.45/190.65
% 190.45/190.65 fof(fact_code__numeral_Onat__of__inject,axiom,
% 190.45/190.65 ! [V_y_2,V_x_2] :
% 190.45/190.65 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 190.45/190.65 <=> V_x_2 = V_y_2 ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 190.45/190.65 ! [V_l_2,V_k_2] :
% 190.45/190.65 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 190.45/190.65 <=> V_k_2 = V_l_2 ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_times__code__numeral__def,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_type__definition__code__numeral,axiom,
% 190.45/190.65 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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_less__code__numeral__def,axiom,
% 190.45/190.65 ! [V_m_2,V_na_2] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2))
% 190.45/190.65 <=> 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nat__of,axiom,
% 190.45/190.65 ! [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)))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nat__of__number,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_int__of__def,axiom,
% 190.45/190.65 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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_less__eq__code__numeral__def,axiom,
% 190.45/190.65 ! [V_m_2,V_na_2] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2))
% 190.45/190.65 <=> 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nat__of__code,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nat__of__aux__def,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Suc__code__numeral__def,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_minus__code__numeral__def,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_of__nat__inverse,axiom,
% 190.45/190.65 ! [V_y_2] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 190.45/190.65 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_plus__code__numeral__def,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_div__code__numeral__def,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_minus__code__numeral__code,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_subtract__code__numeral__def,axiom,
% 190.45/190.65 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_mod__code__numeral__def,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_code__numeral__decr,axiom,
% 190.45/190.65 ! [V_k] :
% 190.45/190.65 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listsum__mono,axiom,
% 190.45/190.65 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] :
% 190.45/190.65 ( ( class_Groups_Omonoid__add(T_c)
% 190.45/190.65 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 190.45/190.65 => ( ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 190.45/190.65 => 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)))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_partition__set,axiom,
% 190.45/190.65 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 190.45/190.65 ( 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)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_lists__IntI,axiom,
% 190.45/190.65 ! [V_B_2,V_A_2,V_l_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2)))
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2)))
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listsp_ONil,axiom,
% 190.45/190.65 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listsp_Oequations_I1_J,axiom,
% 190.45/190.65 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_in__listsp__conv__set,axiom,
% 190.45/190.65 ! [V_xs_2,V_A_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 190.45/190.65 <=> ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listsp__conj__eq,axiom,
% 190.45/190.65 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2))
% 190.45/190.65 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listsp__inf__eq,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listsp__infI,axiom,
% 190.45/190.65 ! [V_B_2,V_l_2,V_A_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2))
% 190.45/190.65 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2))
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listsp_Oequations_I2_J,axiom,
% 190.45/190.65 ! [V_a2_2,V_a1_2,V_A_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2)))
% 190.45/190.65 <=> ( hBOOL(hAPP(V_A_2,V_a1_2))
% 190.45/190.65 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_append__in__listsp__conv,axiom,
% 190.45/190.65 ! [V_ys_2,V_xs_2,V_A_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 190.45/190.65 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 190.45/190.65 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listsp__mono,axiom,
% 190.45/190.65 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_partition__P,axiom,
% 190.45/190.65 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 190.45/190.65 ( 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)
% 190.45/190.65 => ( ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2)))
% 190.45/190.65 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.45/190.65 & ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2)))
% 190.45/190.65 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_partition_Osimps_I1_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_listsp__lists__eq,axiom,
% 190.45/190.65 ! [V_x_2,V_A_2,T_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_partition_Osimps_I2_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_lists__Int__eq,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_product_Osimps_I2_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__all2__def,axiom,
% 190.45/190.65 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 190.45/190.65 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 190.45/190.65 <=> ( 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)
% 190.45/190.65 & ! [B_x] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__all2__map2,axiom,
% 190.45/190.65 ! [V_bs_2,V_f_2,T_d,V_as_2,V_Pa_2,T_c,T_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 <=> 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__all2__map1,axiom,
% 190.45/190.65 ! [V_bs_2,V_as_2,V_f_2,T_d,V_Pa_2,T_c,T_b] :
% 190.45/190.65 ( 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)
% 190.45/190.65 <=> 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__all2__dropI,axiom,
% 190.45/190.65 ! [V_na_2,V_bs_2,V_as_2,V_Pa_2,T_c,T_b] :
% 190.45/190.65 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,V_bs_2)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__all2__appendI,axiom,
% 190.45/190.65 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_Pa_2,T_c,T_b] :
% 190.45/190.65 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2)
% 190.45/190.65 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_c_2,V_d_2)
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__all2__append,axiom,
% 190.45/190.65 ! [V_vs_2,V_us_2,V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 190.45/190.65 ( 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)
% 190.45/190.65 => ( 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))
% 190.45/190.65 <=> ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 190.45/190.65 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_us_2,V_vs_2) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__all2__Cons,axiom,
% 190.45/190.65 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_Pa_2,T_c,T_b] :
% 190.45/190.65 ( 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))
% 190.45/190.65 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 190.45/190.65 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__all2__takeI,axiom,
% 190.45/190.65 ! [V_na_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 190.45/190.65 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__all2__eq,axiom,
% 190.45/190.65 ! [T_b,V_ys_2,V_xs_2] :
% 190.45/190.65 ( V_xs_2 = V_ys_2
% 190.45/190.65 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__all2__lengthD,axiom,
% 190.45/190.65 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 190.45/190.65 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__all2__Nil2,axiom,
% 190.45/190.65 ! [V_xs_2,V_Pa_2,T_c,T_b] :
% 190.45/190.65 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,c_List_Olist_ONil(T_c))
% 190.45/190.65 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__all2__Nil,axiom,
% 190.45/190.65 ! [V_ys_2,V_Pa_2,T_c,T_b] :
% 190.45/190.65 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,c_List_Olist_ONil(T_b),V_ys_2)
% 190.45/190.65 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_product_Osimps_I1_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__all2__nthD2,axiom,
% 190.45/190.65 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 190.45/190.65 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 190.45/190.65 => ( 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)))
% 190.45/190.65 => 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__all2__nthD,axiom,
% 190.45/190.65 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 190.45/190.65 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 190.45/190.65 => ( 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)))
% 190.45/190.65 => 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__all2__conv__all__nth,axiom,
% 190.45/190.65 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 190.45/190.65 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 190.45/190.65 <=> ( 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)
% 190.45/190.65 & ! [B_i] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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))) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__all2__update__cong2,axiom,
% 190.45/190.65 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 190.45/190.65 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 190.45/190.65 => ( 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)))
% 190.45/190.65 => 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)) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__all2__update__cong,axiom,
% 190.45/190.65 ! [V_y_2,V_x_2,V_ys_2,V_Pa_2,T_c,V_xs_2,T_b,V_i_2] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 190.45/190.65 => 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)) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__product,axiom,
% 190.45/190.65 ! [V_ys,T_b,V_xs,T_a] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 190.45/190.65 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys))
% 190.45/190.65 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_product__list__set,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sublists__powset,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__sublists,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sublists_Osimps_I1_J,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sublists_Osimps_I2_J,axiom,
% 190.45/190.65 ! [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))))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__set__sublists,axiom,
% 190.45/190.65 ! [V_xs_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 190.45/190.65 => 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)))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__n__lists,axiom,
% 190.45/190.65 ! [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)))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_enum__the__def,axiom,
% 190.45/190.65 ! [V_Pa_2,T_b] : c_Enum_Oenum__the(T_b,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__n__lists,axiom,
% 190.45/190.65 ! [V_n,V_xs,T_a] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 190.45/190.65 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_n__lists__Nil,axiom,
% 190.45/190.65 ! [T_a,V_n] :
% 190.45/190.65 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.65 => 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))) )
% 190.45/190.65 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.65 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_n__lists_Osimps_I1_J,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__n__lists,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__n__lists__elem,axiom,
% 190.45/190.65 ! [V_xs_2,V_na_2,V_ys_2,T_b] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_na_2 ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_list__all2I,axiom,
% 190.45/190.65 ! [V_Pa_2,V_b_2,V_a_2,T_c,T_b] :
% 190.45/190.65 ( ! [B_x] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) )
% 190.45/190.65 => ( 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)
% 190.45/190.65 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_all__nth__imp__all__set,axiom,
% 190.45/190.65 ! [V_x_2,V_Pa_2,V_xs_2,T_b] :
% 190.45/190.65 ( ! [B_i] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_fun__left__comm_Ofold__set__remdups,axiom,
% 190.45/190.65 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_map__removeAll__inj__on,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__remdups,axiom,
% 190.45/190.65 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__remdups__leq,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_remdups__id__iff__distinct,axiom,
% 190.45/190.65 ! [V_xs_2,T_b] :
% 190.45/190.65 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2
% 190.45/190.65 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__removeAll,axiom,
% 190.45/190.65 ! [V_x,V_xs,T_a] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 190.45/190.65 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__remdups__id,axiom,
% 190.45/190.65 ! [V_xs,T_a] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 190.45/190.65 => c_List_Oremdups(T_a,V_xs) = V_xs ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__remdups,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__remdups__eq,axiom,
% 190.45/190.65 ! [V_xs_2,T_b] :
% 190.45/190.65 ( 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)
% 190.45/190.65 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_remdups__remdups,axiom,
% 190.45/190.65 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_remdups_Osimps_I1_J,axiom,
% 190.45/190.65 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_remdups__eq__nil__right__iff,axiom,
% 190.45/190.65 ! [V_x_2,T_b] :
% 190.45/190.65 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2)
% 190.45/190.65 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_removeAll_Osimps_I1_J,axiom,
% 190.45/190.65 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_remdups__eq__nil__iff,axiom,
% 190.45/190.65 ! [V_x_2,T_b] :
% 190.45/190.65 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b)
% 190.45/190.65 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_removeAll_Osimps_I2_J,axiom,
% 190.45/190.65 ! [V_xs,T_a,V_y,V_x] :
% 190.45/190.65 ( ( V_x = V_y
% 190.45/190.65 => 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) )
% 190.45/190.65 & ( V_x != V_y
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_removeAll__append,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_remdups__map__remdups,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_remove1__remdups,axiom,
% 190.45/190.65 ! [V_x,V_xs,T_a] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_removeAll__id,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__remove1__removeAll,axiom,
% 190.45/190.65 ! [V_x,V_xs,T_a] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 190.45/190.65 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_remdups_Osimps_I2_J,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => 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) )
% 190.45/190.65 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__remdups__card__conv,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_map__removeAll__inj,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 190.45/190.65 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__removeAll,axiom,
% 190.45/190.65 ! [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)))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__remdups__concat,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sorted__list__of__set__sort__remdups,axiom,
% 190.45/190.65 ! [V_xs_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_concat__conv__foldl,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sort__key__simps_I1_J,axiom,
% 190.45/190.65 ! [V_f_2,T_b,T_c] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_c)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_foldl__conv__concat,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__sort,axiom,
% 190.45/190.65 ! [V_xs_2,V_f_2,T_b,T_c] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_c)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__sort,axiom,
% 190.45/190.65 ! [V_xs_2,V_f_2,T_b,T_c] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_c)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__sort,axiom,
% 190.45/190.65 ! [V_xs_2,V_f_2,T_b,T_c] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_c)
% 190.45/190.65 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)))
% 190.45/190.65 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_concat_Osimps_I1_J,axiom,
% 190.45/190.65 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_concat_Osimps_I2_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_Nil__eq__concat__conv,axiom,
% 190.45/190.65 ! [V_xss_2,T_b] :
% 190.45/190.65 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2)
% 190.45/190.65 <=> ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 190.45/190.65 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_concat__eq__Nil__conv,axiom,
% 190.45/190.65 ! [V_xss_2,T_b] :
% 190.45/190.65 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b)
% 190.45/190.65 <=> ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 190.45/190.65 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_map__concat,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__concat,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__concat,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sort__key__simps_I2_J,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_c)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_concat__append,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sort__foldl__insort,axiom,
% 190.45/190.65 ! [V_xs_2,T_b] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_b)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_concat__eq__concat__iff,axiom,
% 190.45/190.65 ! [V_ys_2,V_xs_2,T_b] :
% 190.45/190.65 ( ! [B_x] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => 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)) )
% 190.45/190.65 => ( 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)
% 190.45/190.65 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 190.45/190.65 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_concat__injective,axiom,
% 190.45/190.65 ! [V_ys_2,V_xs_2,T_b] :
% 190.45/190.65 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 190.45/190.65 => ( 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)
% 190.45/190.65 => ( ! [B_x] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => 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)) )
% 190.45/190.65 => V_xs_2 = V_ys_2 ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_concat__map__singleton,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_n__lists_Osimps_I2_J,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_transpose_Osimps_I3_J,axiom,
% 190.45/190.65 ! [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))))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_transpose__aux__filter__head,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_filter__concat,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_filter__sort,axiom,
% 190.45/190.65 ! [V_xs_2,V_f_2,V_Pa_2,T_b,T_c] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_c)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__filter,axiom,
% 190.45/190.65 ! [V_Pa_2,V_xs_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 190.45/190.65 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sum__length__filter__compl,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_filter__is__subset,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_filter__id__conv,axiom,
% 190.45/190.65 ! [V_xs_2,V_Pa_2,T_b] :
% 190.45/190.65 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = V_xs_2
% 190.45/190.65 <=> ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__filter__le,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_partition__filter__conv,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_partition__filter2,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_partition__filter1,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_filter__filter,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_remove1__filter__not,axiom,
% 190.45/190.65 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 190.45/190.65 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_filter__remove1,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_filter__insort__triv,axiom,
% 190.45/190.65 ! [V_xs_2,V_f_2,T_b,V_x_2,V_Pa_2,T_c] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_c)
% 190.45/190.65 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_filter__map,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_transpose_Osimps_I1_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_filter_Osimps_I1_J,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_filter_Osimps_I2_J,axiom,
% 190.45/190.65 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 190.45/190.65 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.65 => 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)) )
% 190.45/190.65 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_filter__append,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_filter__empty__conv,axiom,
% 190.45/190.65 ! [V_xs_2,V_Pa_2,T_b] :
% 190.45/190.65 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 190.45/190.65 <=> ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__filter__map,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_removeAll__filter__not__eq,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_removeAll__filter__not,axiom,
% 190.45/190.65 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 190.45/190.65 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_remdups__filter,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_transpose_Osimps_I2_J,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nth__transpose,axiom,
% 190.45/190.65 ! [V_xs_2,T_b,V_i_2] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_transpose__map__map,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__filter,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__filter__less,axiom,
% 190.45/190.65 ! [V_Pa_2,V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.65 => 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))) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__minus__filter__out,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_filter__in__sublist,axiom,
% 190.45/190.65 ! [V_s_2,V_xs_2,T_b] :
% 190.45/190.65 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_transpose__empty,axiom,
% 190.45/190.65 ! [V_xs_2,T_b] :
% 190.45/190.65 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b))
% 190.45/190.65 <=> ! [B_x] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 190.45/190.65 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__filter__conv__card,axiom,
% 190.45/190.65 ! [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))))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_transpose__aux__filter__tail,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_transpose_Opsimps_I3_J,axiom,
% 190.45/190.65 ! [V_xss_2,V_xs_2,V_x_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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))))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_transpose_Opsimps_I2_J,axiom,
% 190.45/190.65 ! [V_xss_2,T_b] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sublist__shift__lemma__Suc,axiom,
% 190.45/190.65 ! [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)))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_select__weigth__drop__zero,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_pick__drop__zero,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_transpose_Opsimps_I1_J,axiom,
% 190.45/190.65 ! [T_b] :
% 190.45/190.65 ( 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))))
% 190.45/190.65 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_transpose__max__length,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_transpose__aux__max,axiom,
% 190.45/190.65 ! [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)))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_foldr_Osimps_I1_J,axiom,
% 190.45/190.65 ! [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 ).
% 190.45/190.65
% 190.45/190.65 fof(fact_foldr_Osimps_I2_J,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_foldr__append,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_foldr__conv__foldl,axiom,
% 190.45/190.65 ! [V_a_2,V_xs_2,T_b] :
% 190.45/190.65 ( class_Groups_Oab__semigroup__add(T_b)
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_foldr__map,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_foldl__foldr1,axiom,
% 190.45/190.65 ! [V_xs_2,T_b] :
% 190.45/190.65 ( class_Groups_Omonoid__add(T_b)
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_foldl__foldr1__lemma,axiom,
% 190.45/190.65 ! [V_xs_2,V_a_2,T_b] :
% 190.45/190.65 ( class_Groups_Omonoid__add(T_b)
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__transpose,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sublist__def,axiom,
% 190.45/190.65 ! [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))))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sublist__shift__lemma,axiom,
% 190.45/190.65 ! [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))))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_atLeastLessThan__upt,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_set__upt,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_upt__Suc,axiom,
% 190.45/190.65 ! [V_j,V_i] :
% 190.45/190.65 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 190.45/190.65 => 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))) )
% 190.45/190.65 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 190.45/190.65 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_upt__Suc__append,axiom,
% 190.45/190.65 ! [V_j,V_i] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_upt__add__eq__append,axiom,
% 190.45/190.65 ! [V_k,V_j,V_i] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_upt__rec,axiom,
% 190.45/190.65 ! [V_j,V_i] :
% 190.45/190.65 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 190.45/190.65 => 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)) )
% 190.45/190.65 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 190.45/190.65 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_upt__conv__Cons,axiom,
% 190.45/190.65 ! [V_j,V_i] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_upt__conv__Nil,axiom,
% 190.45/190.65 ! [V_i,V_j] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 190.45/190.65 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_upt__eq__Nil__conv,axiom,
% 190.45/190.65 ! [V_j_2,V_i_2] :
% 190.45/190.65 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 190.45/190.65 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.65 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_upt__0,axiom,
% 190.45/190.65 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_take__upt,axiom,
% 190.45/190.65 ! [V_n,V_m,V_i] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sorted__list__of__set__range,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_hd__upt,axiom,
% 190.45/190.65 ! [V_j,V_i] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 190.45/190.65 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_drop__upt,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_distinct__upt,axiom,
% 190.45/190.65 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_length__upt,axiom,
% 190.45/190.65 ! [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) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_upt__rec__number__of,axiom,
% 190.45/190.65 ! [V_n,V_m] :
% 190.45/190.65 ( ( 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)))
% 190.45/190.65 => 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))) )
% 190.45/190.65 & ( ~ 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)))
% 190.45/190.65 => 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) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_upt__eq__Cons__conv,axiom,
% 190.45/190.65 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 190.45/190.65 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 190.45/190.65 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 190.45/190.65 & V_i_2 = V_x_2
% 190.45/190.65 & 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 ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_last__upt,axiom,
% 190.45/190.65 ! [V_j,V_i] :
% 190.45/190.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_map__Suc__upt,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_atLeastAtMost__upt,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_atLeast__upt,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nth__upt,axiom,
% 190.45/190.65 ! [V_j,V_k,V_i] :
% 190.45/190.65 ( 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))
% 190.45/190.65 => 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) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_greaterThanAtMost__upt,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_greaterThanLessThan__upt,axiom,
% 190.45/190.65 ! [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)) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_atMost__upto,axiom,
% 190.45/190.65 ! [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))) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_map__nth,axiom,
% 190.45/190.65 ! [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 ).
% 190.45/190.65
% 190.45/190.65 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 190.45/190.65 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 190.45/190.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 190.45/190.65 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 190.45/190.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 190.45/190.65 => 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))) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_nth__map__upt,axiom,
% 190.45/190.65 ! [V_f_2,T_b,V_m_2,V_na_2,V_i_2] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_transpose__rectangle,axiom,
% 190.45/190.65 ! [V_na_2,T_b,V_xs_2] :
% 190.45/190.65 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 190.45/190.65 => V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 190.45/190.65 => ( ! [B_i] :
% 190.45/190.65 ( 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)))
% 190.45/190.65 => 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 )
% 190.45/190.65 => 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)) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_insort__key__remove1,axiom,
% 190.45/190.65 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_c)
% 190.45/190.65 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.65 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 190.45/190.65 => ( 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
% 190.45/190.65 => 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 ) ) ) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sorted_ONil,axiom,
% 190.45/190.65 ! [T_a] :
% 190.45/190.65 ( class_Orderings_Olinorder(T_a)
% 190.45/190.65 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 190.45/190.65
% 190.45/190.65 fof(fact_sorted__single,axiom,
% 190.45/190.65 ! [V_x,T_a] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_a)
% 190.45/190.66 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__upt,axiom,
% 190.45/190.66 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__sort,axiom,
% 190.45/190.66 ! [V_xs_2,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__insort__insert,axiom,
% 190.45/190.66 ! [V_x_2,V_xs_2,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 190.45/190.66 => 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)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__drop,axiom,
% 190.45/190.66 ! [V_n,V_xs,T_a] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_a)
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 190.45/190.66 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__upto,axiom,
% 190.45/190.66 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__take,axiom,
% 190.45/190.66 ! [V_n,V_xs,T_a] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_a)
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 190.45/190.66 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__remove1,axiom,
% 190.45/190.66 ! [V_a,V_xs,T_a] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_a)
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 190.45/190.66 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__tl,axiom,
% 190.45/190.66 ! [V_xs,T_a] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_a)
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 190.45/190.66 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__insort,axiom,
% 190.45/190.66 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => ( 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))
% 190.45/190.66 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__butlast,axiom,
% 190.45/190.66 ! [V_xs,T_a] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_a)
% 190.45/190.66 => ( V_xs != c_List_Olist_ONil(T_a)
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 190.45/190.66 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted_Oequations_I1_J,axiom,
% 190.45/190.66 ! [T_a] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_a)
% 190.45/190.66 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__many__eq,axiom,
% 190.45/190.66 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => ( 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)))
% 190.45/190.66 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.45/190.66 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__many,axiom,
% 190.45/190.66 ! [V_zs,V_y,V_x,T_a] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_a)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 190.45/190.66 => 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))) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__remdups,axiom,
% 190.45/190.66 ! [V_l,T_a] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_a)
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_a,V_l)
% 190.45/190.66 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__distinct__set__unique,axiom,
% 190.45/190.66 ! [V_ys_2,V_xs_2,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 190.45/190.66 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 190.45/190.66 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 190.45/190.66 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 190.45/190.66 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__sort__key,axiom,
% 190.45/190.66 ! [V_xs_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => 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))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__insort__insert__key,axiom,
% 190.45/190.66 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 190.45/190.66 => 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))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__map__remove1,axiom,
% 190.45/190.66 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 190.45/190.66 => 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))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__insort__key,axiom,
% 190.45/190.66 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => ( 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)))
% 190.45/190.66 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__map__same,axiom,
% 190.45/190.66 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => 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))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__filter,axiom,
% 190.45/190.66 ! [V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 190.45/190.66 => 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))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__same,axiom,
% 190.45/190.66 ! [V_xs_2,V_g_2,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => 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)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__Cons,axiom,
% 190.45/190.66 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 190.45/190.66 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 190.45/190.66 & ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__append,axiom,
% 190.45/190.66 ! [V_ys_2,V_xs_2,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 190.45/190.66 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 190.45/190.66 & c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 190.45/190.66 & ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 => ! [B_xa] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2)))
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_filter__insort,axiom,
% 190.45/190.66 ! [V_x_2,V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 190.45/190.66 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.66 => 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)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted_Oequations_I2_J,axiom,
% 190.45/190.66 ! [V_a1_2,V_a2_2,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2))
% 190.45/190.66 <=> ( ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2)))
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) )
% 190.45/190.66 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__list__of__set,axiom,
% 190.45/190.66 ! [V_A_2,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.66 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2
% 190.45/190.66 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))
% 190.45/190.66 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_insort__remove1,axiom,
% 190.45/190.66 ! [V_xs_2,V_a_2,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 190.45/190.66 => 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 ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__nth__mono,axiom,
% 190.45/190.66 ! [V_j,V_i,V_xs,T_a] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_a)
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 190.45/190.66 => ( 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)))
% 190.45/190.66 => 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))) ) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__equals__nth__mono,axiom,
% 190.45/190.66 ! [V_xs_2,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 190.45/190.66 <=> ! [B_j] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => ! [B_i] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 190.45/190.66 => 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))) ) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_map__sorted__distinct__set__unique,axiom,
% 190.45/190.66 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_c)
% 190.45/190.66 => ( 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)))
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 190.45/190.66 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)))
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))
% 190.45/190.66 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)))
% 190.45/190.66 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 190.45/190.66 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_transpose__column,axiom,
% 190.45/190.66 ! [V_i_2,V_xs_2,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => ( 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)))
% 190.45/190.66 => 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) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_nth__nth__transpose__sorted,axiom,
% 190.45/190.66 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => ( 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))))
% 190.45/190.66 => ( 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))))
% 190.45/190.66 => 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) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_inj__on__rev,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_distinct__rev,axiom,
% 190.45/190.66 ! [V_xs_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2)))
% 190.45/190.66 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_rev_Osimps_I1_J,axiom,
% 190.45/190.66 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_Nil__is__rev__conv,axiom,
% 190.45/190.66 ! [V_xs_2,T_b] :
% 190.45/190.66 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2)
% 190.45/190.66 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_rev__is__Nil__conv,axiom,
% 190.45/190.66 ! [V_xs_2,T_b] :
% 190.45/190.66 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 190.45/190.66 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_rev__singleton__conv,axiom,
% 190.45/190.66 ! [V_x_2,V_xs_2,T_b] :
% 190.45/190.66 ( 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))
% 190.45/190.66 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_singleton__rev__conv,axiom,
% 190.45/190.66 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.66 ( 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)
% 190.45/190.66 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_rev__append,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_rev__concat,axiom,
% 190.45/190.66 ! [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))) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_rev__map,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_rev__filter,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_zip__rev,axiom,
% 190.45/190.66 ! [V_ys,T_b,V_xs,T_a] :
% 190.45/190.66 ( 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)
% 190.45/190.66 => 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)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_set__rev,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__all2__rev1,axiom,
% 190.45/190.66 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 190.45/190.66 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2)
% 190.45/190.66 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__all2__rev,axiom,
% 190.45/190.66 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 190.45/190.66 ( 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))
% 190.45/190.66 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_rev__is__rev__conv,axiom,
% 190.45/190.66 ! [V_ys_2,V_xs_2,T_b] :
% 190.45/190.66 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2)
% 190.45/190.66 <=> V_xs_2 = V_ys_2 ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_rev__swap,axiom,
% 190.45/190.66 ! [V_ys_2,V_xs_2,T_b] :
% 190.45/190.66 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2
% 190.45/190.66 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_rev__rev__ident,axiom,
% 190.45/190.66 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 190.45/190.66
% 190.45/190.66 fof(fact_listsum__rev,axiom,
% 190.45/190.66 ! [V_xs,T_a] :
% 190.45/190.66 ( class_Groups_Ocomm__monoid__add(T_a)
% 190.45/190.66 => 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) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_length__rev,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_foldr__foldl,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_foldl__foldr,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_rev_Osimps_I2_J,axiom,
% 190.45/190.66 ! [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))) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_rev__eq__Cons__iff,axiom,
% 190.45/190.66 ! [V_ys_2,V_y_2,V_xs_2,T_b] :
% 190.45/190.66 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 190.45/190.66 <=> 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))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_last__rev,axiom,
% 190.45/190.66 ! [T_a,V_xs] :
% 190.45/190.66 ( V_xs != c_List_Olist_ONil(T_a)
% 190.45/190.66 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_hd__rev,axiom,
% 190.45/190.66 ! [T_a,V_xs] :
% 190.45/190.66 ( V_xs != c_List_Olist_ONil(T_a)
% 190.45/190.66 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__transpose,axiom,
% 190.45/190.66 ! [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)))) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_rev__foldl__cons,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_rev__take,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_rev__drop,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_rotate__rev,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_rev__nth,axiom,
% 190.45/190.66 ! [V_xs,T_a,V_n] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => 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))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_rev__update,axiom,
% 190.45/190.66 ! [V_y,V_xs,T_a,V_k] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => 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) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__rev__nth__mono,axiom,
% 190.45/190.66 ! [V_j,V_i,V_xs,T_a] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_a)
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 190.45/190.66 => ( 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)))
% 190.45/190.66 => 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))) ) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_foldr__max__sorted,axiom,
% 190.45/190.66 ! [V_y_2,V_xs_2,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2))
% 190.45/190.66 => ( ( V_xs_2 = c_List_Olist_ONil(T_b)
% 190.45/190.66 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 )
% 190.45/190.66 & ( V_xs_2 != c_List_Olist_ONil(T_b)
% 190.45/190.66 => 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) ) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_length__transpose__sorted,axiom,
% 190.45/190.66 ! [V_xs_2,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 190.45/190.66 => 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) )
% 190.45/190.66 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b))
% 190.45/190.66 => 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))) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_transpose__column__length,axiom,
% 190.45/190.66 ! [V_i_2,V_xs_2,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => ( 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)))
% 190.45/190.66 => 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)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_transpose__transpose,axiom,
% 190.45/190.66 ! [V_xs_2,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => 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) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 190.45/190.66 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__takeWhile,axiom,
% 190.45/190.66 ! [V_Pa_2,V_xs_2,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 190.45/190.66 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_length__takeWhile__le,axiom,
% 190.45/190.66 ! [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))) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_takeWhile__eq__all__conv,axiom,
% 190.45/190.66 ! [V_xs_2,V_Pa_2,T_b] :
% 190.45/190.66 ( c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = V_xs_2
% 190.45/190.66 <=> ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_set__takeWhileD,axiom,
% 190.45/190.66 ! [V_xs_2,V_Pa_2,V_x_2,T_b] :
% 190.45/190.66 ( 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))))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_zip__takeWhile__snd,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_zip__takeWhile__fst,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_takeWhile__map,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_takeWhile__tail,axiom,
% 190.45/190.66 ! [V_l_2,V_xs_2,T_b,V_x_2,V_Pa_2] :
% 190.45/190.66 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.66 => 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) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 190.45/190.66 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 190.45/190.66 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.66 => 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)) )
% 190.45/190.66 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.66 => 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) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_takeWhile__eq__take,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_distinct__takeWhile,axiom,
% 190.45/190.66 ! [V_Pa_2,V_xs_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 190.45/190.66 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_return__list__def,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_takeWhile__append1,axiom,
% 190.45/190.66 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.66 => 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) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_nth__length__takeWhile,axiom,
% 190.45/190.66 ! [V_xs_2,V_Pa_2,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => ~ 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))))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_takeWhile__nth,axiom,
% 190.45/190.66 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 190.45/190.66 ( 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))))
% 190.45/190.66 => 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) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_takeWhile__not__last,axiom,
% 190.45/190.66 ! [T_b,V_xs_2] :
% 190.45/190.66 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 190.45/190.66 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 190.45/190.66 => 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) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 190.45/190.66 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => ( 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)))
% 190.45/190.66 => 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) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 190.45/190.66 ! [V_l] :
% 190.45/190.66 ( c_List_Onat__list(V_l)
% 190.45/190.66 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_transfer__nat__int__list__functions_I1_J,axiom,
% 190.45/190.66 ! [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))) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_embed__list__def,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_takeWhile__neq__rev,axiom,
% 190.45/190.66 ! [V_x_2,V_xs_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 => 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))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dropWhile__neq__rev,axiom,
% 190.45/190.66 ! [V_x_2,V_xs_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 => 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))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_takeWhile__dropWhile__id,axiom,
% 190.45/190.66 ! [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 ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__dropWhile,axiom,
% 190.45/190.66 ! [V_Pa_2,V_xs_2,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 190.45/190.66 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_length__dropWhile__le,axiom,
% 190.45/190.66 ! [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))) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dropWhile__eq__Nil__conv,axiom,
% 190.45/190.66 ! [V_xs_2,V_Pa_2,T_b] :
% 190.45/190.66 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = c_List_Olist_ONil(T_b)
% 190.45/190.66 <=> ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dropWhile_Osimps_I2_J,axiom,
% 190.45/190.66 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 190.45/190.66 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.66 => 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) )
% 190.45/190.66 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.66 => 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) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dropWhile_Osimps_I1_J,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_distinct__dropWhile,axiom,
% 190.45/190.66 ! [V_Pa_2,V_xs_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 190.45/190.66 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_hd__dropWhile,axiom,
% 190.45/190.66 ! [V_xs_2,V_Pa_2,T_b] :
% 190.45/190.66 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) != c_List_Olist_ONil(T_b)
% 190.45/190.66 => ~ hBOOL(hAPP(V_Pa_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dropWhile__map,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dropWhile__append1,axiom,
% 190.45/190.66 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.66 => 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) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dropWhile__eq__Cons__conv,axiom,
% 190.45/190.66 ! [V_ys_2,V_y_2,V_xs_2,V_Pa_2,T_b] :
% 190.45/190.66 ( 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)
% 190.45/190.66 <=> ( 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))
% 190.45/190.66 & ~ hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dropWhile__eq__drop,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dropWhile__nth,axiom,
% 190.45/190.66 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 190.45/190.66 ( 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))))
% 190.45/190.66 => 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)))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_listsum__map__filter,axiom,
% 190.45/190.66 ! [V_f_2,V_Pa_2,V_xs_2,T_b,T_c] :
% 190.45/190.66 ( class_Groups_Omonoid__add(T_c)
% 190.45/190.66 => ( ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 => ( ~ hBOOL(hAPP(V_Pa_2,B_x))
% 190.45/190.66 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) )
% 190.45/190.66 => 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)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted__nth__monoI,axiom,
% 190.45/190.66 ! [V_xs,T_a] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_a)
% 190.45/190.66 => ( ! [B_i,B_j] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 190.45/190.66 => ( 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)))
% 190.45/190.66 => 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))) ) )
% 190.45/190.66 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_takeWhile__eq__filter,axiom,
% 190.45/190.66 ! [V_xs_2,V_Pa_2,T_b] :
% 190.45/190.66 ( ! [B_x] :
% 190.45/190.66 ( 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))))
% 190.45/190.66 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.45/190.66 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_takeWhile__eq__take__P__nth,axiom,
% 190.45/190.66 ! [V_Pa_2,V_xs_2,T_b,V_na_2] :
% 190.45/190.66 ( ! [B_i] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2))
% 190.45/190.66 => ( 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)))
% 190.45/190.66 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) )
% 190.45/190.66 => ( ( 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)))
% 190.45/190.66 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2))) )
% 190.45/190.66 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_length__takeWhile__less__P__nth,axiom,
% 190.45/190.66 ! [V_xs_2,T_b,V_Pa_2,V_j_2] :
% 190.45/190.66 ( ! [B_i] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 190.45/190.66 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 190.45/190.66 => ( 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)))
% 190.45/190.66 => 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)))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted_Osimps,axiom,
% 190.45/190.66 ! [V_a_2,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2)
% 190.45/190.66 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 190.45/190.66 | ? [B_xs,B_x] :
% 190.45/190.66 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 190.45/190.66 & ! [B_xa] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs)))
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) )
% 190.45/190.66 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_List_Oinsert__def,axiom,
% 190.45/190.66 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.66 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 )
% 190.45/190.66 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 => 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) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_not__in__set__insert,axiom,
% 190.45/190.66 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.66 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 => 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) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_insert__remdups,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_distinct__insert,axiom,
% 190.45/190.66 ! [V_x,V_xs,T_a] :
% 190.45/190.66 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 190.45/190.66 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_in__set__insert,axiom,
% 190.45/190.66 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_List_Oset__insert,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_insert__Nil,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_concat__map__maps,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_maps__def,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_maps__simps_I2_J,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_maps__simps_I1_J,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_distinct__concat,axiom,
% 190.45/190.66 ! [V_xs_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2))
% 190.45/190.66 => ( ! [B_ys] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 190.45/190.66 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) )
% 190.45/190.66 => ( ! [B_ys] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 190.45/190.66 => ! [B_zs] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 190.45/190.66 => ( B_ys != B_zs
% 190.45/190.66 => 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)) ) ) )
% 190.45/190.66 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_measures__lesseq,axiom,
% 190.45/190.66 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => ( 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)))
% 190.45/190.66 => 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)))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_wf__measures,axiom,
% 190.45/190.66 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_in__measures_I1_J,axiom,
% 190.45/190.66 ! [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))))) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_measures__def,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_measures__less,axiom,
% 190.45/190.66 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => 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)))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_in__measures_I2_J,axiom,
% 190.45/190.66 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] :
% 190.45/190.66 ( 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))))
% 190.45/190.66 <=> ( 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)))
% 190.45/190.66 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 190.45/190.66 & 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))) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_foldl__apply,axiom,
% 190.45/190.66 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] :
% 190.45/190.66 ( ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 => 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)) )
% 190.45/190.66 => 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)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_order__fun_I2_J,axiom,
% 190.45/190.66 ! [V_g_2,V_f_2,T_b,T_c] :
% 190.45/190.66 ( ( class_Orderings_Oorder(T_c)
% 190.45/190.66 & class_Enum_Oenum(T_b) )
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 190.45/190.66 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 190.45/190.66 & 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)))) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_enum__ex__prod__def,axiom,
% 190.45/190.66 ! [V_Pa_2,T_b,T_c] :
% 190.45/190.66 ( ( class_Enum_Oenum(T_c)
% 190.45/190.66 & class_Enum_Oenum(T_b) )
% 190.45/190.66 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_Pa_2))
% 190.45/190.66 <=> 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))))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_exists__code,axiom,
% 190.45/190.66 ! [V_Pa_2,T_b] :
% 190.45/190.66 ( class_Enum_Oenum(T_b)
% 190.45/190.66 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 190.45/190.66 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_enum__ex,axiom,
% 190.45/190.66 ! [V_Pa_2,T_b] :
% 190.45/190.66 ( class_Enum_Oenum(T_b)
% 190.45/190.66 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2))
% 190.45/190.66 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_zip__obtain__same__length,axiom,
% 190.45/190.66 ! [V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 190.45/190.66 ( ( 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))
% 190.45/190.66 => 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)))) )
% 190.45/190.66 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_pos__not__random__dseq__def,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dropWhile__append2,axiom,
% 190.45/190.66 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 190.45/190.66 ( ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.45/190.66 => 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) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__all2__all__nthI,axiom,
% 190.45/190.66 ! [V_Pa_2,V_b_2,T_c,V_a_2,T_b] :
% 190.45/190.66 ( 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)
% 190.45/190.66 => ( ! [B_n] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => 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))) )
% 190.45/190.66 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_finite__sorted__distinct__unique,axiom,
% 190.45/190.66 ! [V_A_2,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.66 => ? [B_x] :
% 190.45/190.66 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2
% 190.45/190.66 & c_List_Olinorder__class_Osorted(T_b,B_x)
% 190.45/190.66 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x))
% 190.45/190.66 & ! [B_y] :
% 190.45/190.66 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2
% 190.45/190.66 & c_List_Olinorder__class_Osorted(T_b,B_y)
% 190.45/190.66 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) )
% 190.45/190.66 => B_y = B_x ) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_takeWhile__append2,axiom,
% 190.45/190.66 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 190.45/190.66 ( ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.45/190.66 => 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)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_insort__is__Cons,axiom,
% 190.45/190.66 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_c)
% 190.45/190.66 => ( ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) )
% 190.45/190.66 => 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) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_filter__eq__Cons__iff,axiom,
% 190.45/190.66 ! [V_xs_2,V_x_2,V_ys_2,V_Pa_2,T_b] :
% 190.45/190.66 ( 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)
% 190.45/190.66 <=> ? [B_us,B_vs] :
% 190.45/190.66 ( 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))
% 190.45/190.66 & ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 190.45/190.66 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.45/190.66 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.66 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_Cons__eq__filter__iff,axiom,
% 190.45/190.66 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 190.45/190.66 ( 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)
% 190.45/190.66 <=> ? [B_us,B_vs] :
% 190.45/190.66 ( 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))
% 190.45/190.66 & ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 190.45/190.66 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.45/190.66 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.66 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_order__fun_I1_J,axiom,
% 190.45/190.66 ! [V_g_2,V_f_2,T_b,T_c] :
% 190.45/190.66 ( ( class_Orderings_Oorder(T_c)
% 190.45/190.66 & class_Enum_Oenum(T_b) )
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 190.45/190.66 <=> 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))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_enum__all,axiom,
% 190.45/190.66 ! [V_Pa_2,T_b] :
% 190.45/190.66 ( class_Enum_Oenum(T_b)
% 190.45/190.66 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2))
% 190.45/190.66 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_all__code,axiom,
% 190.45/190.66 ! [V_Pa_2,T_b] :
% 190.45/190.66 ( class_Enum_Oenum(T_b)
% 190.45/190.66 => ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 190.45/190.66 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_enum__all__prod__def,axiom,
% 190.45/190.66 ! [V_Pa_2,T_b,T_c] :
% 190.45/190.66 ( ( class_Enum_Oenum(T_c)
% 190.45/190.66 & class_Enum_Oenum(T_b) )
% 190.45/190.66 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_Pa_2))
% 190.45/190.66 <=> 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))))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__ball__nth,axiom,
% 190.45/190.66 ! [V_Pa_2,V_xs_2,T_b,V_na_2] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => ( ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.45/190.66 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sorted_OCons,axiom,
% 190.45/190.66 ! [V_x_2,V_xs_2,T_b] :
% 190.45/190.66 ( class_Orderings_Olinorder(T_b)
% 190.45/190.66 => ( ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) )
% 190.45/190.66 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 190.45/190.66 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__ex__length,axiom,
% 190.45/190.66 ! [V_xs_2,V_Pa_2,T_b] :
% 190.45/190.66 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 190.45/190.66 <=> ? [B_n] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_in__set__conv__decomp,axiom,
% 190.45/190.66 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 <=> ? [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)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__ex__simps_I2_J,axiom,
% 190.45/190.66 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__ex__append,axiom,
% 190.45/190.66 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 190.45/190.66 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 190.45/190.66 <=> ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 190.45/190.66 | c_List_Olist__ex(T_b,V_Pa_2,V_ys_2) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__ex__iff,axiom,
% 190.45/190.66 ! [V_xs_2,V_Pa_2,T_b] :
% 190.45/190.66 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 190.45/190.66 <=> ? [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__ex__rev,axiom,
% 190.45/190.66 ! [V_xs_2,V_Pa_2,T_b] :
% 190.45/190.66 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 190.45/190.66 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__ex__simps_I1_J,axiom,
% 190.45/190.66 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 190.45/190.66 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 190.45/190.66 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.66 | c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_in__set__conv__decomp__first,axiom,
% 190.45/190.66 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 <=> ? [B_ys] :
% 190.45/190.66 ( ? [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))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_in__set__conv__decomp__last,axiom,
% 190.45/190.66 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 <=> ? [B_ys,B_zs] :
% 190.45/190.66 ( 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))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__all__length,axiom,
% 190.45/190.66 ! [V_xs_2,V_Pa_2,T_b] :
% 190.45/190.66 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 190.45/190.66 <=> ! [B_n] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_measure__function__int,axiom,
% 190.45/190.66 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))) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__all__simps_I2_J,axiom,
% 190.45/190.66 ! [V_Pa_2,T_b] : c_List_Olist__all(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__all__append,axiom,
% 190.45/190.66 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 190.45/190.66 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 190.45/190.66 <=> ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 190.45/190.66 & c_List_Olist__all(T_b,V_Pa_2,V_ys_2) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_measure__size,axiom,
% 190.45/190.66 ! [T_b] :
% 190.45/190.66 ( class_Nat_Osize(T_b)
% 190.45/190.66 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_is__measure_Ointros,axiom,
% 190.45/190.66 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_is__measure_Oequations,axiom,
% 190.45/190.66 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_is__measure_Osimps,axiom,
% 190.45/190.66 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__all__iff,axiom,
% 190.45/190.66 ! [V_xs_2,V_Pa_2,T_b] :
% 190.45/190.66 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 190.45/190.66 <=> ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_measure__fst,axiom,
% 190.45/190.66 ! [T_c,V_f_2,T_b] :
% 190.45/190.66 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 190.45/190.66 => 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))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_measure__snd,axiom,
% 190.45/190.66 ! [T_c,V_f_2,T_b] :
% 190.45/190.66 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 190.45/190.66 => 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))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__all__rev,axiom,
% 190.45/190.66 ! [V_xs_2,V_Pa_2,T_b] :
% 190.45/190.66 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 190.45/190.66 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__all__simps_I1_J,axiom,
% 190.45/190.66 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 190.45/190.66 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 190.45/190.66 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.66 & c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_Ball__set__list__all,axiom,
% 190.45/190.66 ! [V_Pa_2,V_xs_2,T_b] :
% 190.45/190.66 ( ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.45/190.66 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__all__iff__raw,axiom,
% 190.45/190.66 ! [V_xs_2,V_Pa_2,T_b] :
% 190.45/190.66 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 190.45/190.66 <=> ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__ex1__simps_I2_J,axiom,
% 190.45/190.66 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 190.45/190.66 ( c_List_Olist__ex1(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 190.45/190.66 <=> ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.66 => 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) )
% 190.45/190.66 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.66 => c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_transfer__morphism__int__nat,axiom,
% 190.45/190.66 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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__ex1__simps_I1_J,axiom,
% 190.45/190.66 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex1(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bool_Osize_I4_J,axiom,
% 190.45/190.66 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bool_Osize_I3_J,axiom,
% 190.45/190.66 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__ex1__iff,axiom,
% 190.45/190.66 ! [V_xs_2,V_Pa_2,T_b] :
% 190.45/190.66 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 190.45/190.66 <=> ? [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 & hBOOL(hAPP(V_Pa_2,B_x))
% 190.45/190.66 & ! [B_y] :
% 190.45/190.66 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 190.45/190.66 => B_y = B_x ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 190.45/190.66 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 190.45/190.66 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 190.45/190.66 => 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) )
% 190.45/190.66 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 190.45/190.66 => 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)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 190.45/190.66 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 190.45/190.66 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 190.45/190.66 => 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) )
% 190.45/190.66 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 190.45/190.66 => 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)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 190.45/190.66 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_pos__empty__def,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_neg__bind__def,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_neg__map__def,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_neg__single__def,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_pos__bind__def,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_pos__map__def,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_pos__single__def,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_length__splice,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_splice_Osimps_I3_J,axiom,
% 190.45/190.66 ! [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))) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_splice__Nil2,axiom,
% 190.45/190.66 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ).
% 190.45/190.66
% 190.45/190.66 fof(fact_splice_Osimps_I1_J,axiom,
% 190.45/190.66 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ).
% 190.45/190.66
% 190.45/190.66 fof(fact_splice_Osimps_I2_J,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_New__DSequence_Opos__single__def,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_acyclicP__converse,axiom,
% 190.45/190.66 ! [V_r_2,T_b] :
% 190.45/190.66 ( 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))))
% 190.45/190.66 <=> 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))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_converse__join,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_converse__pred__comp,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_conversep__noteq,axiom,
% 190.45/190.66 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.66 ( 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))
% 190.45/190.66 <=> V_x_2 != V_y_2 ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_conversep__eq,axiom,
% 190.45/190.66 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ).
% 190.45/190.66
% 190.45/190.66 fof(fact_conversep__conversep,axiom,
% 190.45/190.66 ! [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 ).
% 190.45/190.66
% 190.45/190.66 fof(fact_conversep__iff,axiom,
% 190.45/190.66 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 190.45/190.66 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_conversep_Oequations,axiom,
% 190.45/190.66 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2))
% 190.45/190.66 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_conversep_Ointros,axiom,
% 190.45/190.66 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_conversepD,axiom,
% 190.45/190.66 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 190.45/190.66 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_converse__meet,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_conversep__converse__eq,axiom,
% 190.45/190.66 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 190.45/190.66 ( 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))
% 190.45/190.66 <=> 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))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_,axiom,
% 190.45/190.66 ! [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)))) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_tl__replicate,axiom,
% 190.45/190.66 ! [V_x,T_a,V_n] :
% 190.45/190.66 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.66 => 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) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_replicate__length__filter,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_length__replicate,axiom,
% 190.45/190.66 ! [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 ).
% 190.45/190.66
% 190.45/190.66 fof(fact_map__replicate__const,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_replicate__app__Cons__same,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_replicate__Suc,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_rev__replicate,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_drop__replicate,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_hd__replicate,axiom,
% 190.45/190.66 ! [V_x,T_a,V_n] :
% 190.45/190.66 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.66 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_last__replicate,axiom,
% 190.45/190.66 ! [V_x,T_a,V_n] :
% 190.45/190.66 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.66 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_take__replicate,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_zip__replicate,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_Bex__set__replicate,axiom,
% 190.45/190.66 ! [V_Pa_2,V_a_2,V_na_2,T_b] :
% 190.45/190.66 ( ? [B_x] :
% 190.45/190.66 ( 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))))
% 190.45/190.66 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.45/190.66 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 190.45/190.66 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_Ball__set__replicate,axiom,
% 190.45/190.66 ! [V_Pa_2,V_a_2,V_na_2,T_b] :
% 190.45/190.66 ( ! [B_x] :
% 190.45/190.66 ( 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))))
% 190.45/190.66 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.45/190.66 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 190.45/190.66 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_replicate__eq__replicate,axiom,
% 190.45/190.66 ! [V_y_2,V_na_2,V_x_2,V_m_2,T_b] :
% 190.45/190.66 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_na_2,V_y_2)
% 190.45/190.66 <=> ( V_m_2 = V_na_2
% 190.45/190.66 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.66 => V_x_2 = V_y_2 ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_nth__replicate,axiom,
% 190.45/190.66 ! [V_x,T_a,V_n,V_i] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 190.45/190.66 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_replicate__add,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_append__replicate__commute,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_filter__replicate,axiom,
% 190.45/190.66 ! [V_na_2,T_b,V_x_2,V_Pa_2] :
% 190.45/190.66 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.66 => 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) )
% 190.45/190.66 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.45/190.66 => 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) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_concat__replicate__trivial,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_replicate__0,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_empty__replicate,axiom,
% 190.45/190.66 ! [V_x_2,V_na_2,T_b] :
% 190.45/190.66 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_na_2,V_x_2)
% 190.45/190.66 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_replicate__empty,axiom,
% 190.45/190.66 ! [V_x_2,V_na_2,T_b] :
% 190.45/190.66 ( c_List_Oreplicate(T_b,V_na_2,V_x_2) = c_List_Olist_ONil(T_b)
% 190.45/190.66 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_map__replicate,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_in__set__replicate,axiom,
% 190.45/190.66 ! [V_y_2,V_na_2,V_x_2,T_b] :
% 190.45/190.66 ( 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))))
% 190.45/190.66 <=> ( V_x_2 = V_y_2
% 190.45/190.66 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_replicate__append__same,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_map__replicate__trivial,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_set__replicate__conv__if,axiom,
% 190.45/190.66 ! [V_x_2,T_b,V_na_2] :
% 190.45/190.66 ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.66 => 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)) )
% 190.45/190.66 & ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.66 => 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))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_set__replicate,axiom,
% 190.45/190.66 ! [V_x_2,T_b,V_na_2] :
% 190.45/190.66 ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.66 => 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))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_set__replicate__Suc,axiom,
% 190.45/190.66 ! [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))) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_small__lazy__list_Osimps,axiom,
% 190.45/190.66 ! [V_d_2,T_b] :
% 190.45/190.66 ( class_Lazy__Sequence_Osmall__lazy(T_b)
% 190.45/190.66 => 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)))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_eq__comp__r,axiom,
% 190.45/190.66 ! [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 ).
% 190.45/190.66
% 190.45/190.66 fof(fact_small__lazy__prod__def,axiom,
% 190.45/190.66 ! [V_d,T_b,T_a] :
% 190.45/190.66 ( ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 190.45/190.66 & class_Lazy__Sequence_Osmall__lazy(T_b) )
% 190.45/190.66 => 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)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_New__DSequence_Opos__union__def,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_field__le__epsilon,axiom,
% 190.45/190.66 ! [V_y,V_x,T_a] :
% 190.45/190.66 ( class_Fields_Olinordered__field(T_a)
% 190.45/190.66 => ( ! [B_e] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e))
% 190.45/190.66 => 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))) )
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_pos__union__def,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_small__lazy_H_Osimps,axiom,
% 190.45/190.66 ! [V_i,V_d] :
% 190.45/190.66 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 190.45/190.66 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 190.45/190.66 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 190.45/190.66 => 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)))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_small__lazy__int__def,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_small__lazy_H_Opsimps,axiom,
% 190.45/190.66 ! [V_i_2,V_d_2] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 190.45/190.66 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 190.45/190.66 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 190.45/190.66 => 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)))) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_lazy__sequence_Osize_I4_J,axiom,
% 190.45/190.66 ! [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))) ).
% 190.45/190.66
% 190.45/190.66 fof(fact__01,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_lazy__sequence_Oinject,axiom,
% 190.45/190.66 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] :
% 190.45/190.66 ( 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)
% 190.45/190.66 <=> ( V_a_2 = V_a_H_2
% 190.45/190.66 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_lazy__sequence_Osize_I2_J,axiom,
% 190.45/190.66 ! [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))) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_small__lazy_H_Opinduct,axiom,
% 190.45/190.66 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => ( ! [B_d,B_i] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 190.45/190.66 => 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)))) )
% 190.45/190.66 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),B_i)) ) )
% 190.45/190.66 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_size__code,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_lazy__sequence__size__code,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_seq__case,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_yieldn__def,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_lazy__sequence_Osimps_I5_J,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_refl__on__INTER,axiom,
% 190.45/190.66 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 190.45/190.66 ( ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 190.45/190.66 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 190.45/190.66 => 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)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_in__set__member,axiom,
% 190.45/190.66 ! [V_xs_2,V_x_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_member__rec_I1_J,axiom,
% 190.45/190.66 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 190.45/190.66 ( 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))
% 190.45/190.66 <=> ( V_x_2 = V_y_2
% 190.45/190.66 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_member__set,axiom,
% 190.45/190.66 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_member__rec_I2_J,axiom,
% 190.45/190.66 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_List_Omember__def,axiom,
% 190.45/190.66 ! [V_x_2,V_xs_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2))
% 190.45/190.66 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_pair__box_Osize_I1_J,axiom,
% 190.45/190.66 ! [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))) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__ex1__iff__raw,axiom,
% 190.45/190.66 ! [V_xs_2,V_Pa_2,T_b] :
% 190.45/190.66 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 190.45/190.66 <=> ? [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 & hBOOL(hAPP(V_Pa_2,B_x))
% 190.45/190.66 & ! [B_y] :
% 190.45/190.66 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 190.45/190.66 => B_y = B_x ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_pair__box_Osize_I2_J,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_pair__box_Oinject,axiom,
% 190.45/190.66 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 190.45/190.66 ( 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)
% 190.45/190.66 <=> ( V_a_2 = V_a_H_2
% 190.45/190.66 & V_b_2 = V_b_H_2 ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_pair__box_Orecs,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_pair__box_Osimps_I2_J,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_THE__default__def,axiom,
% 190.45/190.66 ! [V_d_2,T_b,V_Pa_2] :
% 190.45/190.66 ( ( ? [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(V_Pa_2,B_x))
% 190.45/190.66 & ! [B_y] :
% 190.45/190.66 ( hBOOL(hAPP(V_Pa_2,B_y))
% 190.45/190.66 => B_y = B_x ) )
% 190.45/190.66 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) )
% 190.45/190.66 & ( ~ ? [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(V_Pa_2,B_x))
% 190.45/190.66 & ! [B_y] :
% 190.45/190.66 ( hBOOL(hAPP(V_Pa_2,B_y))
% 190.45/190.66 => B_y = B_x ) )
% 190.45/190.66 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = V_d_2 ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_setsum__UNION__zero,axiom,
% 190.45/190.66 ! [V_f_2,V_S_2,T_b,T_c] :
% 190.45/190.66 ( class_Groups_Ocomm__monoid__add(T_c)
% 190.45/190.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2))
% 190.45/190.66 => ( ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2))
% 190.45/190.66 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 190.45/190.66 => ( ! [B_T1] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2))
% 190.45/190.66 => ! [B_T2] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2))
% 190.45/190.66 => ( B_T1 != B_T2
% 190.45/190.66 => ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2))
% 190.45/190.66 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) )
% 190.45/190.66 => 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) ) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_INF2__I,axiom,
% 190.45/190.66 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,T_b] :
% 190.45/190.66 ( ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.66 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) )
% 190.45/190.66 => 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)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_SUP2__E,axiom,
% 190.45/190.66 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 190.45/190.66 ( 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))
% 190.45/190.66 => ~ ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.66 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_finite__maxlen,axiom,
% 190.45/190.66 ! [V_M_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2))
% 190.45/190.66 => ? [B_n] :
% 190.45/190.66 ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2))
% 190.45/190.66 => 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)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_lazy__sequence_Osize_I3_J,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_lazy__sequence_Osimps_I3_J,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_lazy__sequence_Osimps_I2_J,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact__02,axiom,
% 190.45/190.66 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ).
% 190.45/190.66
% 190.45/190.66 fof(fact_lazy__sequence_Osimps_I4_J,axiom,
% 190.45/190.66 ! [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 ).
% 190.45/190.66
% 190.45/190.66 fof(fact_lazy__sequence_Osize_I1_J,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__all__iff__all__interval__int,axiom,
% 190.45/190.66 ! [V_j_2,V_i_2,V_Pa_2] :
% 190.45/190.66 ( c_List_Olist__all(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 190.45/190.66 <=> c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__ex__iff__not__all__inverval__int,axiom,
% 190.45/190.66 ! [V_j_2,V_i_2,V_Pa_2] :
% 190.45/190.66 ( c_List_Olist__ex(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 190.45/190.66 <=> ~ 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) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_all__interval__int__def,axiom,
% 190.45/190.66 ! [V_j_2,V_i_2,V_Pa_2] :
% 190.45/190.66 ( c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2)
% 190.45/190.66 <=> ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2)))
% 190.45/190.66 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_code__numeral_Orecs_I2_J,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_Random_Osimps,axiom,
% 190.45/190.66 ! [V_size_2,V_g_2,T_b,V_nrandom_2] :
% 190.45/190.66 ( ( 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)))
% 190.45/190.66 => 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)) )
% 190.45/190.66 & ( ~ 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)))
% 190.45/190.66 => 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))))))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_code__numeral_Orecs_I1_J,axiom,
% 190.45/190.66 ! [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 ).
% 190.45/190.66
% 190.45/190.66 fof(fact_Random__Sequence_Oempty__def,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_Random__Sequence_Osingle__def,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_Random__Sequence_Omap__def,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_exE__realizer,axiom,
% 190.45/190.66 ! [T_d,V_f_2,V_Q_2,V_p_2,T_b,T_c,V_Pa_2] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => ( ! [B_x,B_y] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(V_Pa_2,B_y),B_x))
% 190.45/190.66 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(V_f_2,B_x),B_y))) )
% 190.45/190.66 => 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))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_Image__Collect__split,axiom,
% 190.45/190.66 ! [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)))) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_lexord__trans,axiom,
% 190.45/190.66 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => ( 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)))
% 190.45/190.66 => ( c_Relation_Otrans(T_b,V_r_2)
% 190.45/190.66 => 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))) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_trans__less__than,axiom,
% 190.45/190.66 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_trans__lex__prod,axiom,
% 190.45/190.66 ! [V_R2_2,T_c,V_R1_2,T_b] :
% 190.45/190.66 ( c_Relation_Otrans(T_b,V_R1_2)
% 190.45/190.66 => ( c_Relation_Otrans(T_c,V_R2_2)
% 190.45/190.66 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_transD,axiom,
% 190.45/190.66 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_b] :
% 190.45/190.66 ( c_Relation_Otrans(T_b,V_r_2)
% 190.45/190.66 => ( 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))
% 190.45/190.66 => ( 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))
% 190.45/190.66 => 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)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_trans__def,axiom,
% 190.45/190.66 ! [V_r_2,T_b] :
% 190.45/190.66 ( c_Relation_Otrans(T_b,V_r_2)
% 190.45/190.66 <=> ! [B_x,B_y] :
% 190.45/190.66 ( 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))
% 190.45/190.66 => ! [B_z] :
% 190.45/190.66 ( 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))
% 190.45/190.66 => 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)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_Union__eq,axiom,
% 190.45/190.66 ! [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)))) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_trans__Int,axiom,
% 190.45/190.66 ! [V_s_2,V_r_2,T_b] :
% 190.45/190.66 ( c_Relation_Otrans(T_b,V_r_2)
% 190.45/190.66 => ( c_Relation_Otrans(T_b,V_s_2)
% 190.45/190.66 => 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)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_trans__rtrancl,axiom,
% 190.45/190.66 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_trans__finite__psubset,axiom,
% 190.45/190.66 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_trans__trancl,axiom,
% 190.45/190.66 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_trancl__id,axiom,
% 190.45/190.66 ! [V_r_2,T_b] :
% 190.45/190.66 ( c_Relation_Otrans(T_b,V_r_2)
% 190.45/190.66 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_trans__Id__on,axiom,
% 190.45/190.66 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_trans__Id,axiom,
% 190.45/190.66 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_lexord__transI,axiom,
% 190.45/190.66 ! [V_r_2,T_b] :
% 190.45/190.66 ( c_Relation_Otrans(T_b,V_r_2)
% 190.45/190.66 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_trans__converse,axiom,
% 190.45/190.66 ! [V_r_2,T_b] :
% 190.45/190.66 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 190.45/190.66 <=> c_Relation_Otrans(T_b,V_r_2) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bex__empty,axiom,
% 190.45/190.66 ! [V_Pa_2,T_b] :
% 190.45/190.66 ~ ? [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 190.45/190.66 & hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_listrel__trans,axiom,
% 190.45/190.66 ! [V_r_2,T_b] :
% 190.45/190.66 ( c_Relation_Otrans(T_b,V_r_2)
% 190.45/190.66 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_finite__Collect__bex,axiom,
% 190.45/190.66 ! [V_Q_2,T_c,V_A_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.66 => ( 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)))))
% 190.45/190.66 <=> ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.66 => 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)))) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bex__UNIV,axiom,
% 190.45/190.66 ! [V_Pa_2,T_b] :
% 190.45/190.66 ( ? [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 190.45/190.66 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.45/190.66 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_SUPR__bool__eq,axiom,
% 190.45/190.66 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_trans__O__subset,axiom,
% 190.45/190.66 ! [V_r_2,T_b] :
% 190.45/190.66 ( c_Relation_Otrans(T_b,V_r_2)
% 190.45/190.66 => 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)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_trans__inv__image,axiom,
% 190.45/190.66 ! [V_f_2,T_c,V_r_2,T_b] :
% 190.45/190.66 ( c_Relation_Otrans(T_b,V_r_2)
% 190.45/190.66 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_trans__reflclI,axiom,
% 190.45/190.66 ! [V_r_2,T_b] :
% 190.45/190.66 ( c_Relation_Otrans(T_b,V_r_2)
% 190.45/190.66 => 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))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__ex__iff__raw,axiom,
% 190.45/190.66 ! [V_xs_2,V_Pa_2,T_b] :
% 190.45/190.66 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 190.45/190.66 <=> ? [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_Bex__set__list__ex,axiom,
% 190.45/190.66 ! [V_Pa_2,V_xs_2,T_b] :
% 190.45/190.66 ( ? [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 190.45/190.66 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.45/190.66 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_UN__eq,axiom,
% 190.45/190.66 ! [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))))) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_INT__eq,axiom,
% 190.45/190.66 ! [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))))) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_Sup__fun__def,axiom,
% 190.45/190.66 ! [V_x_2,V_A_2,T_c,T_b] :
% 190.45/190.66 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.66 => 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)))))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_Sup__apply,axiom,
% 190.45/190.66 ! [V_x_2,V_A_2,T_c,T_b] :
% 190.45/190.66 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.66 => 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)))))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_Inf__fun__def,axiom,
% 190.45/190.66 ! [V_x_2,V_A_2,T_c,T_b] :
% 190.45/190.66 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.66 => 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)))))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_Inf__apply,axiom,
% 190.45/190.66 ! [V_x_2,V_A_2,T_c,T_b] :
% 190.45/190.66 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.45/190.66 => 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)))))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_max__extp_Ointros,axiom,
% 190.45/190.66 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 190.45/190.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 190.45/190.66 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.66 => ( ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 190.45/190.66 => ? [B_xa] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 190.45/190.66 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) )
% 190.45/190.66 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_transp__def,axiom,
% 190.45/190.66 ! [V_r_2,T_b] :
% 190.45/190.66 ( c_Predicate_Otransp(T_b,V_r_2)
% 190.45/190.66 <=> 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))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_transpE,axiom,
% 190.45/190.66 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 190.45/190.66 ( c_Predicate_Otransp(T_b,V_r_2)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2))
% 190.45/190.66 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_equivp__reflp__symp__transp,axiom,
% 190.45/190.66 ! [V_R_2,T_b] :
% 190.45/190.66 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 190.45/190.66 <=> ( c_Predicate_Oreflp(T_b,V_R_2)
% 190.45/190.66 & c_Predicate_Osymp(T_b,V_R_2)
% 190.45/190.66 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_equivpI,axiom,
% 190.45/190.66 ! [V_R_2,T_b] :
% 190.45/190.66 ( c_Predicate_Oreflp(T_b,V_R_2)
% 190.45/190.66 => ( c_Predicate_Osymp(T_b,V_R_2)
% 190.45/190.66 => ( c_Predicate_Otransp(T_b,V_R_2)
% 190.45/190.66 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sympE,axiom,
% 190.45/190.66 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 190.45/190.66 ( c_Predicate_Osymp(T_b,V_r_2)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 190.45/190.66 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_equivpE,axiom,
% 190.45/190.66 ! [V_R_2,T_b] :
% 190.45/190.66 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 190.45/190.66 => ~ ( c_Predicate_Oreflp(T_b,V_R_2)
% 190.45/190.66 => ( c_Predicate_Osymp(T_b,V_R_2)
% 190.45/190.66 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_max__extp_Osimps,axiom,
% 190.45/190.66 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 190.45/190.66 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 190.45/190.66 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 190.45/190.66 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 190.45/190.66 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.45/190.66 & ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 190.45/190.66 => ? [B_xa] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 190.45/190.66 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_trans__diff__Id,axiom,
% 190.45/190.66 ! [V_r_2,T_b] :
% 190.45/190.66 ( c_Relation_Otrans(T_b,V_r_2)
% 190.45/190.66 => ( c_Relation_Oantisym(T_b,V_r_2)
% 190.45/190.66 => 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))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_antisym__converse,axiom,
% 190.45/190.66 ! [V_r_2,T_b] :
% 190.45/190.66 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 190.45/190.66 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_antisym__empty,axiom,
% 190.45/190.66 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_antisym__Id,axiom,
% 190.45/190.66 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_antisym__subset,axiom,
% 190.45/190.66 ! [V_s_2,V_r_2,T_b] :
% 190.45/190.66 ( 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))
% 190.45/190.66 => ( c_Relation_Oantisym(T_b,V_s_2)
% 190.45/190.66 => c_Relation_Oantisym(T_b,V_r_2) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_antisym__Id__on,axiom,
% 190.45/190.66 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_antisymD,axiom,
% 190.45/190.66 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 190.45/190.66 ( c_Relation_Oantisym(T_b,V_r_2)
% 190.45/190.66 => ( 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))
% 190.45/190.66 => ( 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))
% 190.45/190.66 => V_a_2 = V_b_2 ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_antisym__def,axiom,
% 190.45/190.66 ! [V_r_2,T_b] :
% 190.45/190.66 ( c_Relation_Oantisym(T_b,V_r_2)
% 190.45/190.66 <=> ! [B_x,B_y] :
% 190.45/190.66 ( 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))
% 190.45/190.66 => ( 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))
% 190.45/190.66 => B_x = B_y ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_antisym__reflcl,axiom,
% 190.45/190.66 ! [V_r_2,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_acyclic__impl__antisym__rtrancl,axiom,
% 190.45/190.66 ! [V_r_2,T_b] :
% 190.45/190.66 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 190.45/190.66 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_fun__lub__def,axiom,
% 190.45/190.66 ! [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)))))) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sym__trans__comp__subset,axiom,
% 190.45/190.66 ! [V_r_2,T_b] :
% 190.45/190.66 ( c_Relation_Osym(T_b,V_r_2)
% 190.45/190.66 => ( c_Relation_Otrans(T_b,V_r_2)
% 190.45/190.66 => 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)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_symD,axiom,
% 190.45/190.66 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 190.45/190.66 ( c_Relation_Osym(T_b,V_r_2)
% 190.45/190.66 => ( 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))
% 190.45/190.66 => 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)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sym__def,axiom,
% 190.45/190.66 ! [V_r_2,T_b] :
% 190.45/190.66 ( c_Relation_Osym(T_b,V_r_2)
% 190.45/190.66 <=> ! [B_x,B_y] :
% 190.45/190.66 ( 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))
% 190.45/190.66 => 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)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sym__Int__converse,axiom,
% 190.45/190.66 ! [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))) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sym__Int,axiom,
% 190.45/190.66 ! [V_s_2,V_r_2,T_b] :
% 190.45/190.66 ( c_Relation_Osym(T_b,V_r_2)
% 190.45/190.66 => ( c_Relation_Osym(T_b,V_s_2)
% 190.45/190.66 => 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)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sym__rtrancl,axiom,
% 190.45/190.66 ! [V_r_2,T_b] :
% 190.45/190.66 ( c_Relation_Osym(T_b,V_r_2)
% 190.45/190.66 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sym__trancl,axiom,
% 190.45/190.66 ! [V_r_2,T_b] :
% 190.45/190.66 ( c_Relation_Osym(T_b,V_r_2)
% 190.45/190.66 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sym__Id__on,axiom,
% 190.45/190.66 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sym__Un,axiom,
% 190.45/190.66 ! [V_s_2,V_r_2,T_b] :
% 190.45/190.66 ( c_Relation_Osym(T_b,V_r_2)
% 190.45/190.66 => ( c_Relation_Osym(T_b,V_s_2)
% 190.45/190.66 => 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)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sym__Id,axiom,
% 190.45/190.66 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sym__converse,axiom,
% 190.45/190.66 ! [V_r_2,T_b] :
% 190.45/190.66 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 190.45/190.66 <=> c_Relation_Osym(T_b,V_r_2) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sym__conv__converse__eq,axiom,
% 190.45/190.66 ! [V_r_2,T_b] :
% 190.45/190.66 ( c_Relation_Osym(T_b,V_r_2)
% 190.45/190.66 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_listrel__sym,axiom,
% 190.45/190.66 ! [V_r_2,T_b] :
% 190.45/190.66 ( c_Relation_Osym(T_b,V_r_2)
% 190.45/190.66 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sym__Un__converse,axiom,
% 190.45/190.66 ! [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))) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_sym__inv__image,axiom,
% 190.45/190.66 ! [V_f_2,T_c,V_r_2,T_b] :
% 190.45/190.66 ( c_Relation_Osym(T_b,V_r_2)
% 190.45/190.66 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_equiv__def,axiom,
% 190.45/190.66 ! [V_r_2,V_A_2,T_b] :
% 190.45/190.66 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 190.45/190.66 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 190.45/190.66 & c_Relation_Osym(T_b,V_r_2)
% 190.45/190.66 & c_Relation_Otrans(T_b,V_r_2) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_equivI,axiom,
% 190.45/190.66 ! [V_r_2,V_A_2,T_b] :
% 190.45/190.66 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 190.45/190.66 => ( c_Relation_Osym(T_b,V_r_2)
% 190.45/190.66 => ( c_Relation_Otrans(T_b,V_r_2)
% 190.45/190.66 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_equivE,axiom,
% 190.45/190.66 ! [V_r_2,V_A_2,T_b] :
% 190.45/190.66 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 190.45/190.66 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 190.45/190.66 => ( c_Relation_Osym(T_b,V_r_2)
% 190.45/190.66 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_symp__def,axiom,
% 190.45/190.66 ! [V_r_2,T_b] :
% 190.45/190.66 ( c_Predicate_Osymp(T_b,V_r_2)
% 190.45/190.66 <=> 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))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_part__equivp__refl__symp__transp,axiom,
% 190.45/190.66 ! [V_R_2,T_b] :
% 190.45/190.66 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 190.45/190.66 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 190.45/190.66 & c_Predicate_Osymp(T_b,V_R_2)
% 190.45/190.66 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_part__equivpI,axiom,
% 190.45/190.66 ! [T_b,V_R_2] :
% 190.45/190.66 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 190.45/190.66 => ( c_Predicate_Osymp(T_b,V_R_2)
% 190.45/190.66 => ( c_Predicate_Otransp(T_b,V_R_2)
% 190.45/190.66 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_part__equivp__def,axiom,
% 190.45/190.66 ! [V_R_2,T_b] :
% 190.45/190.66 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 190.45/190.66 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 190.45/190.66 & ! [B_x,B_y] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 190.45/190.66 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 190.45/190.66 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y))
% 190.45/190.66 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_part__equivp__symp,axiom,
% 190.45/190.66 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 190.45/190.66 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 190.45/190.66 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_part__equivp__transp,axiom,
% 190.45/190.66 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 190.45/190.66 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 190.45/190.66 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_equivp__implies__part__equivp,axiom,
% 190.45/190.66 ! [V_R_2,T_b] :
% 190.45/190.66 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 190.45/190.66 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_part__equivpE,axiom,
% 190.45/190.66 ! [V_R_2,T_b] :
% 190.45/190.66 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 190.45/190.66 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 190.45/190.66 => ( c_Predicate_Osymp(T_b,V_R_2)
% 190.45/190.66 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_part__equivp__typedef,axiom,
% 190.45/190.66 ! [V_R_2,T_b] :
% 190.45/190.66 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 190.45/190.66 => ? [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))))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_inv__o__cancel,axiom,
% 190.45/190.66 ! [V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.66 => 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) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_inj__iff,axiom,
% 190.45/190.66 ! [V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.66 <=> 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) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_inv__into__image__cancel,axiom,
% 190.45/190.66 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2))
% 190.45/190.66 => 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 ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_inj__on__inv__into,axiom,
% 190.45/190.66 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => 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) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_inj__imp__surj__inv,axiom,
% 190.45/190.66 ! [V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.66 => 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)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_image__inv__f__f,axiom,
% 190.45/190.66 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.66 => 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 ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_inv__image__comp,axiom,
% 190.45/190.66 ! [V_X_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.66 => 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 ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_surj__imp__inj__inv,axiom,
% 190.45/190.66 ! [V_f_2,T_b,T_c] :
% 190.45/190.66 ( 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))
% 190.45/190.66 => 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))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_inv__def,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_inv__id,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_inv__f__f,axiom,
% 190.45/190.66 ! [V_x_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.66 => 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 ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_inv__f__eq,axiom,
% 190.45/190.66 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.66 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 190.45/190.66 => 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 ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_inv__into__f__f,axiom,
% 190.45/190.66 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.66 => 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 ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_inv__into__f__eq,axiom,
% 190.45/190.66 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.45/190.66 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 190.45/190.66 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_f__inv__into__f,axiom,
% 190.45/190.66 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 190.45/190.66 => 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 ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_inv__into__into,axiom,
% 190.45/190.66 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 190.45/190.66 => 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)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_inv__into__injective,axiom,
% 190.45/190.66 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] :
% 190.45/190.66 ( 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)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 190.45/190.66 => V_x_2 = V_y_2 ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_image__surj__f__inv__f,axiom,
% 190.45/190.66 ! [V_A_2,V_f_2,T_b,T_c] :
% 190.45/190.66 ( 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))
% 190.45/190.66 => 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 ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_surj__f__inv__f,axiom,
% 190.45/190.66 ! [V_y_2,V_f_2,T_b,T_c] :
% 190.45/190.66 ( 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))
% 190.45/190.66 => 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 ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_surj__iff__all,axiom,
% 190.45/190.66 ! [V_f_2,T_b,T_c] :
% 190.45/190.66 ( 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))
% 190.45/190.66 <=> ! [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 ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_image__inv__into__cancel,axiom,
% 190.45/190.66 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 190.45/190.66 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2))
% 190.45/190.66 => 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 ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_inv__into__def,axiom,
% 190.45/190.66 ! [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))) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_o__inv__o__cancel,axiom,
% 190.45/190.66 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.66 => 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 ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_inv__into__comp,axiom,
% 190.45/190.66 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 190.45/190.66 ( 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))
% 190.45/190.66 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 190.45/190.66 => ( 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))))
% 190.45/190.66 => 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) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_surj__iff,axiom,
% 190.45/190.66 ! [V_f_2,T_b,T_c] :
% 190.45/190.66 ( 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))
% 190.45/190.66 <=> 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) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_inj__transfer,axiom,
% 190.45/190.66 ! [V_x_2,V_Pa_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.66 => ( ! [B_y] :
% 190.45/190.66 ( 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)))))
% 190.45/190.66 => 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))) )
% 190.45/190.66 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_fold__image__UN__disjoint,axiom,
% 190.45/190.66 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] :
% 190.45/190.66 ( class_Groups_Ocomm__monoid__mult(T_d)
% 190.45/190.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2))
% 190.45/190.66 => ( ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 190.45/190.66 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 190.45/190.66 => ( ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 190.45/190.66 => ! [B_xa] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2))
% 190.45/190.66 => ( B_x != B_xa
% 190.45/190.66 => 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)) ) ) )
% 190.45/190.66 => 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) ) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_nat__of__cases,axiom,
% 190.45/190.66 ! [V_y_2] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 190.45/190.66 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_nat__of__induct,axiom,
% 190.45/190.66 ! [V_Pa_2,V_y_2] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 190.45/190.66 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Onat__of,B_x)))
% 190.45/190.66 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_of__nat__cases,axiom,
% 190.45/190.66 ! [V_x_2] :
% 190.45/190.66 ~ ! [B_y] :
% 190.45/190.66 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y)
% 190.45/190.66 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_of__nat__induct,axiom,
% 190.45/190.66 ! [V_x_2,V_Pa_2] :
% 190.45/190.66 ( ! [B_y] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 190.45/190.66 => hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) )
% 190.45/190.66 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_lazy__sequence_Orecs_I1_J,axiom,
% 190.45/190.66 ! [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 ).
% 190.45/190.66
% 190.45/190.66 fof(fact_beyond__def,axiom,
% 190.45/190.66 ! [V_l,V_k] :
% 190.45/190.66 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 190.45/190.66 => c_Quickcheck_Obeyond(V_k,V_l) = V_l )
% 190.45/190.66 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 190.45/190.66 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_beyond__zero,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_lazy__sequence_Orecs_I2_J,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__image__Collect__eq,axiom,
% 190.45/190.66 ! [V_Pa_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => 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))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_curry__def,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_curryI,axiom,
% 190.45/190.66 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] :
% 190.45/190.66 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__betw__id,axiom,
% 190.45/190.66 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__betw__inv__into,axiom,
% 190.45/190.66 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 190.45/190.66 => 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) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_inv__into__inv__into__eq,axiom,
% 190.45/190.66 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.45/190.66 => 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) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__imp__bij__inv,axiom,
% 190.45/190.66 ! [V_f_2,T_c,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => 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))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_inv__inv__eq,axiom,
% 190.45/190.66 ! [V_f_2,T_c,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => 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 ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_o__inv__distrib,axiom,
% 190.45/190.66 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => ( 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)))
% 190.45/190.66 => 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)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__betw__comp__iff2,axiom,
% 190.45/190.66 ! [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] :
% 190.45/190.66 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 190.45/190.66 => ( 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))
% 190.45/190.66 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2)
% 190.45/190.66 <=> 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) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__betw__comp__iff,axiom,
% 190.45/190.66 ! [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] :
% 190.45/190.66 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 190.45/190.66 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 190.45/190.66 <=> 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) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__betw__trans,axiom,
% 190.45/190.66 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 190.45/190.66 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2)
% 190.45/190.66 => 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) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__comp,axiom,
% 190.45/190.66 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => ( 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)))
% 190.45/190.66 => 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))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_curryD,axiom,
% 190.45/190.66 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 190.45/190.66 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_curryE,axiom,
% 190.45/190.66 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 190.45/190.66 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_curry__conv,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_curry__split,axiom,
% 190.45/190.66 ! [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 ).
% 190.45/190.66
% 190.45/190.66 fof(fact_split__curry,axiom,
% 190.45/190.66 ! [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 ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__image__Compl__eq,axiom,
% 190.45/190.66 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => 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)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bijI,axiom,
% 190.45/190.66 ! [V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.66 => ( 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))
% 190.45/190.66 => 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))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__def,axiom,
% 190.45/190.66 ! [V_f_2,T_c,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 190.45/190.66 & 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)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__betw__subset,axiom,
% 190.45/190.66 ! [V_B_H_2,V_B_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.45/190.66 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) = V_B_H_2
% 190.45/190.66 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__is__surj,axiom,
% 190.45/190.66 ! [V_f_2,T_c,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => 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)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__betw__imp__surj,axiom,
% 190.45/190.66 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => 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)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__betw__def,axiom,
% 190.45/190.66 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 190.45/190.66 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.66 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = V_B_2 ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_inj__on__imp__bij__betw,axiom,
% 190.45/190.66 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.66 => 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)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__betw__imp__inj__on,axiom,
% 190.45/190.66 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 190.45/190.66 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__is__inj,axiom,
% 190.45/190.66 ! [V_f_2,T_c,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__betw__the__inv__into,axiom,
% 190.45/190.66 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 190.45/190.66 => 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) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__betw__same__card,axiom,
% 190.45/190.66 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 190.45/190.66 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__betw__empty2,axiom,
% 190.45/190.66 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__betw__empty1,axiom,
% 190.45/190.66 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( 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)
% 190.45/190.66 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_BIJ,axiom,
% 190.45/190.66 ! [V_B_2,T_c,V_A_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 190.45/190.66 => ( ? [B_f] : c_Fun_Obij__betw(T_b,T_c,B_f,V_A_2,V_B_2)
% 190.45/190.66 <=> hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__betw__finite,axiom,
% 190.45/190.66 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 190.45/190.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.66 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__betw__id__iff,axiom,
% 190.45/190.66 ! [V_B_2,V_A_2,T_b] :
% 190.45/190.66 ( c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_B_2)
% 190.45/190.66 <=> V_A_2 = V_B_2 ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__id,axiom,
% 190.45/190.66 ! [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))) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__betw__combine,axiom,
% 190.45/190.66 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 190.45/190.66 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_C_2,V_D_2)
% 190.45/190.66 => ( 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))
% 190.45/190.66 => 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)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__betw__Disj__Un,axiom,
% 190.45/190.66 ! [V_f_2,V_B_H_2,V_A_H_2,T_c,V_B_2,V_A_2,T_b] :
% 190.45/190.66 ( 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))
% 190.45/190.66 => ( 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))
% 190.45/190.66 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 190.45/190.66 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2)
% 190.45/190.66 => 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)) ) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_finite__vimage__iff,axiom,
% 190.45/190.66 ! [V_F_2,V_h_2,T_c,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 190.45/190.66 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__image__INT,axiom,
% 190.45/190.66 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => 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)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_vimage__subset__eq,axiom,
% 190.45/190.66 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => ( 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))
% 190.45/190.66 <=> 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))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bij__vimage__eq__inv__image,axiom,
% 190.45/190.66 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => 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) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_ex__bij__betw__nat__finite__1,axiom,
% 190.45/190.66 ! [V_M_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 190.45/190.66 => ? [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) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_Cantor__Bernstein,axiom,
% 190.45/190.66 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.45/190.66 => ( 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))
% 190.45/190.66 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 190.45/190.66 => ( 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))
% 190.45/190.66 => ? [B_h] : c_Fun_Obij__betw(T_b,T_c,B_h,V_A_2,V_B_2) ) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_ex__bij__betw__nat__finite,axiom,
% 190.45/190.66 ! [V_M_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 190.45/190.66 => ? [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) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_ex__bij__betw__finite__nat,axiom,
% 190.45/190.66 ! [V_M_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 190.45/190.66 => ? [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))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_refl__on__UNION,axiom,
% 190.45/190.66 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 190.45/190.66 ( ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 190.45/190.66 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 190.45/190.66 => 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)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bex__reg__eqv,axiom,
% 190.45/190.66 ! [V_Pa_2,V_R_2,T_b] :
% 190.45/190.66 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 190.45/190.66 => ( ? [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 190.45/190.66 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.45/190.66 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_in__respects,axiom,
% 190.45/190.66 ! [V_R_2,V_x_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Quotient_ORespects(T_b,V_R_2)))
% 190.45/190.66 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_Respects__def,axiom,
% 190.45/190.66 ! [V_x_2,V_R_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(c_Quotient_ORespects(T_b,V_R_2),V_x_2))
% 190.45/190.66 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_bex__reg__right,axiom,
% 190.45/190.66 ! [V_Pa_2,V_Q_2,V_R_2,T_b] :
% 190.45/190.66 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 190.45/190.66 => ( ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(V_Q_2,B_x))
% 190.45/190.66 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.45/190.66 => ( ? [B_x1] : hBOOL(hAPP(V_Q_2,B_x1))
% 190.45/190.66 => ? [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 190.45/190.66 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_babs__reg__eqv,axiom,
% 190.45/190.66 ! [V_Pa_2,T_c,V_R_2,T_b] :
% 190.45/190.66 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 190.45/190.66 => c_Quotient_OBabs(T_b,T_c,c_Quotient_ORespects(T_b,V_R_2),V_Pa_2) = V_Pa_2 ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_Babs__def,axiom,
% 190.45/190.66 ! [V_m_2,T_c,V_p_2,V_x_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_p_2))
% 190.45/190.66 => hAPP(c_Quotient_OBabs(T_b,T_c,V_p_2,V_m_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_wf__weak__decr__stable,axiom,
% 190.45/190.66 ! [V_r_2,V_f_2,T_b] :
% 190.45/190.66 ( ! [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)))
% 190.45/190.66 => ( c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2))
% 190.45/190.66 => ? [B_i] :
% 190.45/190.66 ! [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) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_INT__greatest,axiom,
% 190.45/190.66 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] :
% 190.45/190.66 ( ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.66 => 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))) )
% 190.45/190.66 => 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))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_INT__anti__mono,axiom,
% 190.45/190.66 ! [V_g_2,V_f_2,T_c,V_A_2,V_B_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.45/190.66 => ( ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.45/190.66 => 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))) )
% 190.45/190.66 => 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))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_converse__rtranclE2,axiom,
% 190.45/190.66 ! [V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_c,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => ( 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)
% 190.45/190.66 => ~ ! [B_a,B_b] :
% 190.45/190.66 ( 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))
% 190.45/190.66 => ~ 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))) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_rtrancl__induct2,axiom,
% 190.45/190.66 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2))
% 190.45/190.66 => ( ! [B_a,B_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => ! [B_aa,B_ba] :
% 190.45/190.66 ( 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))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b))
% 190.45/190.66 => hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)) ) ) )
% 190.45/190.66 => hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_converse__rtrancl__induct2,axiom,
% 190.45/190.66 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2))
% 190.45/190.66 => ( ! [B_a,B_b,B_aa,B_ba] :
% 190.45/190.66 ( 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))
% 190.45/190.66 => ( 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)))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba))
% 190.45/190.66 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) )
% 190.45/190.66 => hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_congruent2I_H,axiom,
% 190.45/190.66 ! [T_d,V_f_2,V_r2_2,T_c,V_r1_2,T_b] :
% 190.45/190.66 ( ! [B_y1,B_z1] :
% 190.45/190.66 ( 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))
% 190.45/190.66 => ! [B_y2,B_z2] :
% 190.45/190.66 ( 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))
% 190.45/190.66 => hAPP(hAPP(V_f_2,B_y1),B_y2) = hAPP(hAPP(V_f_2,B_z1),B_z2) ) )
% 190.45/190.66 => c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_congruentI,axiom,
% 190.45/190.66 ! [T_c,V_f_2,V_r_2,T_b] :
% 190.45/190.66 ( ! [B_y,B_z] :
% 190.45/190.66 ( 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))
% 190.45/190.66 => hAPP(V_f_2,B_y) = hAPP(V_f_2,B_z) )
% 190.45/190.66 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact__03,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_all__interval__nat__def,axiom,
% 190.45/190.66 ! [V_j_2,V_i_2,V_Pa_2] :
% 190.45/190.66 ( c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2)
% 190.45/190.66 <=> ! [B_x] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact__04,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__all__iff__all__interval__nat,axiom,
% 190.45/190.66 ! [V_j_2,V_i_2,V_Pa_2] :
% 190.45/190.66 ( c_List_Olist__all(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2))
% 190.45/190.66 <=> c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_list__ex__iff__not__all__inverval__nat,axiom,
% 190.45/190.66 ! [V_j_2,V_i_2,V_Pa_2] :
% 190.45/190.66 ( c_List_Olist__ex(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2))
% 190.45/190.66 <=> ~ 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) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact__05,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_folding__image_Ocong,axiom,
% 190.45/190.66 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 190.45/190.66 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 190.45/190.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.45/190.66 => ( ! [B_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 190.45/190.66 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 190.45/190.66 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(V_F_2,V_h_2),V_A_2) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact__06,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact__07,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_New__DSequence_Opos__map__def,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_power__dvd__imp__le,axiom,
% 190.45/190.66 ! [V_n,V_m,V_i] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i))
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Oorder__refl,axiom,
% 190.45/190.66 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__0__right,axiom,
% 190.45/190.66 ! [V_a,T_a] :
% 190.45/190.66 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__1__left,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_nat__mult__dvd__cancel1,axiom,
% 190.45/190.66 ! [V_na_2,V_m_2,V_k_2] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 190.45/190.66 => ( 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)))
% 190.45/190.66 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__mult__cancel,axiom,
% 190.45/190.66 ! [V_n,V_m,V_k] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_unity__coeff__ex,axiom,
% 190.45/190.66 ! [V_l_2,V_Pa_2,T_b] :
% 190.45/190.66 ( ( class_Rings_Odvd(T_b)
% 190.45/190.66 & class_Rings_Osemiring__0(T_b) )
% 190.45/190.66 => ( ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_l_2),B_x)))
% 190.45/190.66 <=> ? [B_x] :
% 190.45/190.66 ( 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))))
% 190.45/190.66 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__mult__cancel__left,axiom,
% 190.45/190.66 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 190.45/190.66 ( class_Rings_Oidom(T_b)
% 190.45/190.66 => ( 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)))
% 190.45/190.66 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.66 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__mult__cancel__right,axiom,
% 190.45/190.66 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 190.45/190.66 ( class_Rings_Oidom(T_b)
% 190.45/190.66 => ( 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)))
% 190.45/190.66 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.66 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__triv__left,axiom,
% 190.45/190.66 ! [V_b,V_a,T_a] :
% 190.45/190.66 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.66 => 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))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__triv__right,axiom,
% 190.45/190.66 ! [V_b,V_a,T_a] :
% 190.45/190.66 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.66 => 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))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__mult2,axiom,
% 190.45/190.66 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.66 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 190.45/190.66 => 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))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__mult,axiom,
% 190.45/190.66 ! [V_b,V_c,V_a,T_a] :
% 190.45/190.66 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 190.45/190.66 => 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))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_mult__dvd__mono,axiom,
% 190.45/190.66 ! [V_d,V_c,V_b,V_a,T_a] :
% 190.45/190.66 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_d))
% 190.45/190.66 => 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))) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvdI,axiom,
% 190.45/190.66 ! [V_k,V_b,V_a,T_a] :
% 190.45/190.66 ( class_Rings_Odvd(T_a)
% 190.45/190.66 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k)
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_a)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__mult__left,axiom,
% 190.45/190.66 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.66 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.66 => ( 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))
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__mult__right,axiom,
% 190.45/190.66 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.66 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.66 => ( 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))
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__mult__div__cancel,axiom,
% 190.45/190.66 ! [V_b,V_a,T_a] :
% 190.45/190.66 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 190.45/190.66 => 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 ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_div__mult__swap,axiom,
% 190.45/190.66 ! [V_a,V_b,V_c,T_a] :
% 190.45/190.66 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 190.45/190.66 => 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) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__div__mult__self,axiom,
% 190.45/190.66 ! [V_b,V_a,T_a] :
% 190.45/190.66 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 190.45/190.66 => 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 ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__div__mult,axiom,
% 190.45/190.66 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.66 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 190.45/190.66 => 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) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_div__mult__div__if__dvd,axiom,
% 190.45/190.66 ! [V_w,V_z,V_x,V_y,T_a] :
% 190.45/190.66 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_w))
% 190.45/190.66 => 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)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_nat__mult__dvd__cancel__disj,axiom,
% 190.45/190.66 ! [V_na_2,V_m_2,V_k_2] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.45/190.66 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_OatLeastAtMost__singleton__iff,axiom,
% 190.45/190.66 ! [V_c_2,V_b_2,V_a_2] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 <=> ( V_a_2 = V_b_2
% 190.45/190.66 & V_b_2 = V_c_2 ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_OatLeastAtMost__singleton,axiom,
% 190.45/190.66 ! [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))) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_OatLeastAtMost__singleton_H,axiom,
% 190.45/190.66 ! [V_b_2,V_a_2] :
% 190.45/190.66 ( V_a_2 = V_b_2
% 190.45/190.66 => 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))) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_OatLeastatMost__empty,axiom,
% 190.45/190.66 ! [V_a_2,V_b_2] :
% 190.45/190.66 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) )
% 190.45/190.66 => 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)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_OatLeastatMost__empty__iff,axiom,
% 190.45/190.66 ! [V_b_2,V_a_2] :
% 190.45/190.66 ( 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))
% 190.45/190.66 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_OatLeastatMost__empty__iff2,axiom,
% 190.45/190.66 ! [V_b_2,V_a_2] :
% 190.45/190.66 ( 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)
% 190.45/190.66 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_OgreaterThanAtMost__empty,axiom,
% 190.45/190.66 ! [V_k_2,V_l_2] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 190.45/190.66 => 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)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_OgreaterThanAtMost__empty__iff,axiom,
% 190.45/190.66 ! [V_l_2,V_k_2] :
% 190.45/190.66 ( 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))
% 190.45/190.66 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_OgreaterThanAtMost__empty__iff2,axiom,
% 190.45/190.66 ! [V_l_2,V_k_2] :
% 190.45/190.66 ( 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)
% 190.45/190.66 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_OgreaterThanLessThan__empty,axiom,
% 190.45/190.66 ! [V_k_2,V_l_2] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 190.45/190.66 => 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)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_OatLeastLessThan__empty,axiom,
% 190.45/190.66 ! [V_a_2,V_b_2] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 190.45/190.66 => 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)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_OatLeastLessThan__empty__iff,axiom,
% 190.45/190.66 ! [V_b_2,V_a_2] :
% 190.45/190.66 ( 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))
% 190.45/190.66 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_OatLeastLessThan__empty__iff2,axiom,
% 190.45/190.66 ! [V_b_2,V_a_2] :
% 190.45/190.66 ( 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)
% 190.45/190.66 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__add,axiom,
% 190.45/190.66 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.66 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 190.45/190.66 => 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))) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__reduce,axiom,
% 190.45/190.66 ! [V_na_2,V_k_2] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_na_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_div__add,axiom,
% 190.45/190.66 ! [V_y,V_x,V_z,T_a] :
% 190.45/190.66 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_x))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_y))
% 190.45/190.66 => 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)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_OatLeastatMost__psubset__iff,axiom,
% 190.45/190.66 ! [V_d_2,V_c_2,V_b_2,V_a_2] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 190.45/190.66 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 190.45/190.66 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 190.45/190.66 & ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_c_2)) )
% 190.45/190.66 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_d_2),V_b_2)) ) ) ) )
% 190.45/190.66 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_d_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__1__iff__1,axiom,
% 190.45/190.66 ! [V_m_2] :
% 190.45/190.66 ( 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))))
% 190.45/190.66 <=> V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__div__neg,axiom,
% 190.45/190.66 ! [V_x,V_y,T_a] :
% 190.45/190.66 ( class_Divides_Oring__div(T_a)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 190.45/190.66 => 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)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__neg__div,axiom,
% 190.45/190.66 ! [V_x,V_y,T_a] :
% 190.45/190.66 ( class_Divides_Oring__div(T_a)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 190.45/190.66 => 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)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__minus__iff,axiom,
% 190.45/190.66 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.66 ( class_Rings_Ocomm__ring__1(T_b)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)))
% 190.45/190.66 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_minus__dvd__iff,axiom,
% 190.45/190.66 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.66 ( class_Rings_Ocomm__ring__1(T_b)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),V_y_2))
% 190.45/190.66 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__diff,axiom,
% 190.45/190.66 ! [V_z,V_y,V_x,T_a] :
% 190.45/190.66 ( class_Rings_Ocomm__ring__1(T_a)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_z))
% 190.45/190.66 => 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))) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__diff__nat,axiom,
% 190.45/190.66 ! [V_n,V_m,V_k] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 190.45/190.66 => 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))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__abs__iff,axiom,
% 190.45/190.66 ! [V_k_2,V_m_2,T_b] :
% 190.45/190.66 ( class_Rings_Olinordered__idom(T_b)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_k_2)))
% 190.45/190.66 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_abs__dvd__iff,axiom,
% 190.45/190.66 ! [V_k_2,V_m_2,T_b] :
% 190.45/190.66 ( class_Rings_Olinordered__idom(T_b)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_m_2)),V_k_2))
% 190.45/190.66 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__if__abs__eq,axiom,
% 190.45/190.66 ! [V_k,V_l,T_a] :
% 190.45/190.66 ( class_Rings_Olinordered__idom(T_a)
% 190.45/190.66 => ( hAPP(c_Groups_Oabs__class_Oabs(T_a),V_l) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k)
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_l),V_k)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__power__same,axiom,
% 190.45/190.66 ! [V_n,V_y,V_x,T_a] :
% 190.45/190.66 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 190.45/190.66 => 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))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_div__dvd__div,axiom,
% 190.45/190.66 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 190.45/190.66 ( class_Divides_Osemiring__div(T_b)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_c_2))
% 190.45/190.66 => ( 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)))
% 190.45/190.66 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_b_2),V_c_2)) ) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Oeq__iff,axiom,
% 190.45/190.66 ! [V_y_2,V_x_2] :
% 190.45/190.66 ( V_x_2 = V_y_2
% 190.45/190.66 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 190.45/190.66 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Ole__less,axiom,
% 190.45/190.66 ! [V_y_2,V_x_2] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 190.45/190.66 <=> ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 190.45/190.66 | V_x_2 = V_y_2 ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Oless__le,axiom,
% 190.45/190.66 ! [V_y_2,V_x_2] :
% 190.45/190.66 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 190.45/190.66 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 190.45/190.66 & V_x_2 != V_y_2 ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Oneq__le__trans,axiom,
% 190.45/190.66 ! [V_b,V_a] :
% 190.45/190.66 ( V_a != V_b
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Oeq__refl,axiom,
% 190.45/190.66 ! [V_y,V_x] :
% 190.45/190.66 ( V_x = V_y
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Oantisym__conv,axiom,
% 190.45/190.66 ! [V_x_2,V_y_2] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 190.45/190.66 <=> V_x_2 = V_y_2 ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Ole__imp__less__or__eq,axiom,
% 190.45/190.66 ! [V_y,V_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 190.45/190.66 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 190.45/190.66 | V_x = V_y ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Ole__neq__trans,axiom,
% 190.45/190.66 ! [V_b,V_a] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 190.45/190.66 => ( V_a != V_b
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Oord__eq__le__trans,axiom,
% 190.45/190.66 ! [V_c,V_b,V_a] :
% 190.45/190.66 ( V_a = V_b
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Oord__le__eq__trans,axiom,
% 190.45/190.66 ! [V_c,V_b,V_a] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 190.45/190.66 => ( V_b = V_c
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__antisym,axiom,
% 190.45/190.66 ! [V_n,V_m] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m))
% 190.45/190.66 => V_m = V_n ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Oantisym,axiom,
% 190.45/190.66 ! [V_y,V_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 190.45/190.66 => V_x = V_y ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Oorder__trans,axiom,
% 190.45/190.66 ! [V_z,V_y,V_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Oord__eq__less__trans,axiom,
% 190.45/190.66 ! [V_c,V_b,V_a] :
% 190.45/190.66 ( V_a = V_b
% 190.45/190.66 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_b)) )
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Ole__less__trans,axiom,
% 190.45/190.66 ! [V_z,V_y,V_x] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 190.45/190.66 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Oless__imp__neq,axiom,
% 190.45/190.66 ! [V_y,V_x] :
% 190.45/190.66 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 190.45/190.66 => V_x != V_y ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Oless__not__sym,axiom,
% 190.45/190.66 ! [V_y,V_x] :
% 190.45/190.66 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 190.45/190.66 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Oless__imp__le,axiom,
% 190.45/190.66 ! [V_y,V_x] :
% 190.45/190.66 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Oless__imp__not__less,axiom,
% 190.45/190.66 ! [V_y,V_x] :
% 190.45/190.66 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 190.45/190.66 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Oless__imp__not__eq,axiom,
% 190.45/190.66 ! [V_y,V_x] :
% 190.45/190.66 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 190.45/190.66 => V_x != V_y ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Oless__imp__not__eq2,axiom,
% 190.45/190.66 ! [V_y,V_x] :
% 190.45/190.66 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 190.45/190.66 => V_y != V_x ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Oord__less__eq__trans,axiom,
% 190.45/190.66 ! [V_c,V_b,V_a] :
% 190.45/190.66 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 190.45/190.66 => ( V_b = V_c
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Oless__le__trans,axiom,
% 190.45/190.66 ! [V_z,V_y,V_x] :
% 190.45/190.66 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Oless__asym_H,axiom,
% 190.45/190.66 ! [V_b,V_a] :
% 190.45/190.66 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 190.45/190.66 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Oless__trans,axiom,
% 190.45/190.66 ! [V_z,V_y,V_x] :
% 190.45/190.66 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 190.45/190.66 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Oless__asym,axiom,
% 190.45/190.66 ! [V_y,V_x] :
% 190.45/190.66 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 190.45/190.66 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__refl,axiom,
% 190.45/190.66 ! [V_a,T_a] :
% 190.45/190.66 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_a)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__trans,axiom,
% 190.45/190.66 ! [V_c,V_b,V_a,T_a] :
% 190.45/190.66 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c))
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__0__left,axiom,
% 190.45/190.66 ! [V_a,T_a] :
% 190.45/190.66 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.45/190.66 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__mod__imp__dvd,axiom,
% 190.45/190.66 ! [V_n,V_m,V_k,T_a] :
% 190.45/190.66 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n)))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__mod,axiom,
% 190.45/190.66 ! [V_n,V_m,V_k,T_a] :
% 190.45/190.66 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n))) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_mod__mod__cancel,axiom,
% 190.45/190.66 ! [V_a,V_b,V_c,T_a] :
% 190.45/190.66 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 190.45/190.66 => 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) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__mod__iff,axiom,
% 190.45/190.66 ! [V_m_2,V_na_2,V_k_2,T_b] :
% 190.45/190.66 ( class_Divides_Osemiring__div(T_b)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_na_2))
% 190.45/190.66 => ( 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)))
% 190.45/190.66 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_m_2)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_one__dvd,axiom,
% 190.45/190.66 ! [V_a,T_a] :
% 190.45/190.66 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_nat__dvd__1__iff__1,axiom,
% 190.45/190.66 ! [V_m_2] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 190.45/190.66 <=> V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__eq__mod__eq__0,axiom,
% 190.45/190.66 ! [V_b_2,V_a_2,T_b] :
% 190.45/190.66 ( class_Divides_Osemiring__div(T_b)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 190.45/190.66 <=> c_Divides_Odiv__class_Omod(T_b,V_b_2,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__imp__mod__0,axiom,
% 190.45/190.66 ! [V_b,V_a,T_a] :
% 190.45/190.66 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 190.45/190.66 => c_Divides_Odiv__class_Omod(T_a,V_b,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_div__power,axiom,
% 190.45/190.66 ! [V_n,V_x,V_y,T_a] :
% 190.45/190.66 ( class_Divides_Osemiring__div(T_a)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 190.45/190.66 => 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)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_nat__dvd__not__less,axiom,
% 190.45/190.66 ! [V_n,V_m] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.45/190.66 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_OatMost__iff,axiom,
% 190.45/190.66 ! [V_k_2,V_i_2] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_OatLeast__iff,axiom,
% 190.45/190.66 ! [V_k_2,V_i_2] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_OgreaterThan__iff,axiom,
% 190.45/190.66 ! [V_k_2,V_i_2] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_OlessThan__iff,axiom,
% 190.45/190.66 ! [V_k_2,V_i_2] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_power__le__dvd,axiom,
% 190.45/190.66 ! [V_m,V_b,V_n,V_a,T_a] :
% 190.45/190.66 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.66 => ( 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))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.45/190.66 => 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)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__power__le,axiom,
% 190.45/190.66 ! [V_m,V_n,V_y,V_x,T_a] :
% 190.45/190.66 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 190.45/190.66 => 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))) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_le__imp__power__dvd,axiom,
% 190.45/190.66 ! [V_a,V_n,V_m,T_a] :
% 190.45/190.66 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.45/190.66 => 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))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_OatLeastatMost__subset__iff,axiom,
% 190.45/190.66 ! [V_d_2,V_c_2,V_b_2,V_a_2] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 <=> ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 190.45/190.66 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 190.45/190.66 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__diffD,axiom,
% 190.45/190.66 ! [V_n,V_m,V_k] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__diffD1,axiom,
% 190.45/190.66 ! [V_n,V_m,V_k] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_inf__period_I4_J,axiom,
% 190.45/190.66 ! [V_t_2,V_D_2,V_d_2,T_b] :
% 190.45/190.66 ( ( class_Rings_Ocomm__ring(T_b)
% 190.45/190.66 & class_Rings_Odvd(T_b) )
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 190.45/190.66 => ! [B_x,B_k] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 <=> 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))) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_inf__period_I3_J,axiom,
% 190.45/190.66 ! [V_t_2,V_D_2,V_d_2,T_b] :
% 190.45/190.66 ( ( class_Rings_Ocomm__ring(T_b)
% 190.45/190.66 & class_Rings_Odvd(T_b) )
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 190.45/190.66 => ! [B_x,B_k] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 <=> 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))) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__div__eq__mult,axiom,
% 190.45/190.66 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 190.45/190.66 ( class_Divides_Osemiring__div(T_b)
% 190.45/190.66 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 190.45/190.66 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = V_c_2
% 190.45/190.66 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2) ) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__div__div__eq__mult,axiom,
% 190.45/190.66 ! [V_d_2,V_b_2,V_c_2,V_a_2,T_b] :
% 190.45/190.66 ( class_Divides_Osemiring__div(T_b)
% 190.45/190.66 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.66 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_c_2),V_d_2))
% 190.45/190.66 => ( 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)
% 190.45/190.66 <=> 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) ) ) ) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__eq__mod__eq__0__number__of,axiom,
% 190.45/190.66 ! [V_y_2,V_x_2,T_b] :
% 190.45/190.66 ( ( class_Divides_Osemiring__div(T_b)
% 190.45/190.66 & class_Int_Onumber(T_b) )
% 190.45/190.66 => ( 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)))
% 190.45/190.66 <=> 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) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__setprod,axiom,
% 190.45/190.66 ! [V_f_2,V_i_2,V_A_2,T_b,T_c] :
% 190.45/190.66 ( class_Rings_Ocomm__semiring__1(T_c)
% 190.45/190.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 190.45/190.66 => 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))) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_setprod__dvd__setprod__subset,axiom,
% 190.45/190.66 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 190.45/190.66 ( ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.45/190.66 & class_Rings_Odvd(T_c) )
% 190.45/190.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.45/190.66 => 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))) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__imp__le,axiom,
% 190.45/190.66 ! [V_n,V_k] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__power,axiom,
% 190.45/190.66 ! [V_x,V_n,T_a] :
% 190.45/190.66 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.45/190.66 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.45/190.66 | V_x = c_Groups_Oone__class_Oone(T_a) )
% 190.45/190.66 => 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))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__mult__cancel2,axiom,
% 190.45/190.66 ! [V_na_2,V_m_2] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 190.45/190.66 => ( 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))
% 190.45/190.66 <=> V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__mult__cancel1,axiom,
% 190.45/190.66 ! [V_na_2,V_m_2] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 190.45/190.66 => ( 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))
% 190.45/190.66 <=> V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd_Ostrict__monoD,axiom,
% 190.45/190.66 ! [V_y_2,V_x_2,V_f_2,T_b] :
% 190.45/190.66 ( class_Orderings_Oorder(T_b)
% 190.45/190.66 => ( 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)
% 190.45/190.66 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 190.45/190.66 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_equiv__imp__dvd__card,axiom,
% 190.45/190.66 ! [V_k_2,V_r_2,V_A_2,T_b] :
% 190.45/190.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.45/190.66 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 190.45/190.66 => ( ! [B_x] :
% 190.45/190.66 ( 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)))
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_b),B_x))) )
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_dvd__imp__le__int,axiom,
% 190.45/190.66 ! [V_d,V_i] :
% 190.45/190.66 ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d),V_i))
% 190.45/190.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_d)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i))) ) ) ).
% 190.45/190.66
% 190.45/190.66 fof(fact_zdvd__iff__zmod__eq__0__number__of,axiom,
% 190.45/190.66 ! [V_y_2,V_x_2] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_y_2)))
% 190.45/190.66 <=> c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_x_2)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 190.45/190.66
% 190.45/190.66 %----Arity declarations (220)
% 190.45/190.66 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 190.45/190.66 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 190.45/190.66 ! [T_2,T_1] :
% 190.45/190.66 ( class_Lattices_Obounded__lattice(T_1)
% 190.45/190.66 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 190.45/190.66 ! [T_2,T_1] :
% 190.45/190.66 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 190.45/190.66 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 190.45/190.66 ! [T_2,T_1] :
% 190.45/190.66 ( class_Lattices_Obounded__lattice(T_1)
% 190.45/190.66 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 190.45/190.66 ! [T_2,T_1] :
% 190.45/190.66 ( class_Lattices_Obounded__lattice(T_1)
% 190.45/190.66 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 190.45/190.66 ! [T_2,T_1] :
% 190.45/190.66 ( class_Lattices_Olattice(T_1)
% 190.45/190.66 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 190.45/190.66 ! [T_2,T_1] :
% 190.45/190.66 ( class_Lattices_Olattice(T_1)
% 190.45/190.66 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 190.45/190.66 ! [T_2,T_1] :
% 190.45/190.66 ( class_Lattices_Odistrib__lattice(T_1)
% 190.45/190.66 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 190.45/190.66 ! [T_2,T_1] :
% 190.45/190.66 ( class_Lattices_Oboolean__algebra(T_1)
% 190.45/190.66 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_fun__Orderings_Opreorder,axiom,
% 190.45/190.66 ! [T_2,T_1] :
% 190.45/190.66 ( class_Orderings_Opreorder(T_1)
% 190.45/190.66 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 190.45/190.66 ! [T_1,T_2] :
% 190.45/190.66 ( ( class_Finite__Set_Ofinite(T_2)
% 190.45/190.66 & class_Finite__Set_Ofinite(T_1) )
% 190.45/190.66 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_fun__Lattices_Olattice,axiom,
% 190.45/190.66 ! [T_2,T_1] :
% 190.45/190.66 ( class_Lattices_Olattice(T_1)
% 190.45/190.66 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_fun__Orderings_Oorder,axiom,
% 190.45/190.66 ! [T_2,T_1] :
% 190.45/190.66 ( class_Orderings_Oorder(T_1)
% 190.45/190.66 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_fun__Orderings_Otop,axiom,
% 190.45/190.66 ! [T_2,T_1] :
% 190.45/190.66 ( class_Orderings_Otop(T_1)
% 190.45/190.66 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_fun__Orderings_Oord,axiom,
% 190.45/190.66 ! [T_2,T_1] :
% 190.45/190.66 ( class_Orderings_Oord(T_1)
% 190.45/190.66 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_fun__Orderings_Obot,axiom,
% 190.45/190.66 ! [T_2,T_1] :
% 190.45/190.66 ( class_Orderings_Obot(T_1)
% 190.45/190.66 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_fun__Groups_Ouminus,axiom,
% 190.45/190.66 ! [T_2,T_1] :
% 190.45/190.66 ( class_Groups_Ouminus(T_1)
% 190.45/190.66 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_fun__Groups_Ominus,axiom,
% 190.45/190.66 ! [T_2,T_1] :
% 190.45/190.66 ( class_Groups_Ominus(T_1)
% 190.45/190.66 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_fun__Enum_Oenum,axiom,
% 190.45/190.66 ! [T_1,T_2] :
% 190.45/190.66 ( ( class_Enum_Oenum(T_2)
% 190.45/190.66 & class_Enum_Oenum(T_1) )
% 190.45/190.66 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Com__Ocom__Nat_Osize,axiom,
% 190.45/190.66 class_Nat_Osize(tc_Com_Ocom) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 190.45/190.66 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 190.45/190.66 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 190.45/190.66 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 190.45/190.66 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 190.45/190.66 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 190.45/190.66 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 190.45/190.66 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 190.45/190.66 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 190.45/190.66 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 190.45/190.66 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 190.45/190.66 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 190.45/190.66 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 190.45/190.66 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 190.45/190.66 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 190.45/190.66 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 190.45/190.66 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 190.45/190.66 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 190.45/190.66 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 190.45/190.66 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 190.45/190.66 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 190.45/190.66 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 190.45/190.66 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom,
% 190.45/190.66 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 190.45/190.66 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 190.45/190.66 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 190.45/190.66 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 190.45/190.66 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 190.45/190.66 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 190.45/190.66 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 190.45/190.66 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 190.45/190.66 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 190.45/190.66 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 190.45/190.66 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 190.45/190.66 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 190.45/190.66 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 190.45/190.66 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 190.45/190.66 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 190.45/190.66 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 190.45/190.66 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 190.45/190.66 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 190.45/190.66 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 190.45/190.66 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 190.45/190.66 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 190.45/190.66 class_Orderings_Opreorder(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 190.45/190.66 class_Orderings_Olinorder(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 190.45/190.66 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 190.45/190.66 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 190.45/190.66 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 190.45/190.66 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 190.45/190.66 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 190.45/190.66 class_Lattices_Olattice(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 190.45/190.66 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 190.45/190.66 class_Divides_Oring__div(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 190.45/190.66 class_Rings_Omult__zero(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom,
% 190.45/190.66 class_Rings_Ocomm__ring(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 190.45/190.66 class_Orderings_Oorder(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 190.45/190.66 class_Int_Oring__char__0(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 190.45/190.66 class_Int_Onumber__ring(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 190.45/190.66 class_Rings_Osemiring(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 190.45/190.66 class_Orderings_Oord(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 190.45/190.66 class_Groups_Ouminus(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 190.45/190.66 class_Groups_Osgn__if(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 190.45/190.66 class_Groups_Oabs__if(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 190.45/190.66 class_Rings_Oring__1(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 190.45/190.66 class_Groups_Ominus(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Power_Opower,axiom,
% 190.45/190.66 class_Power_Opower(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 190.45/190.66 class_Groups_Ozero(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Oring,axiom,
% 190.45/190.66 class_Rings_Oring(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 190.45/190.66 class_Rings_Oidom(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Int_Onumber,axiom,
% 190.45/190.66 class_Int_Onumber(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Groups_Oone,axiom,
% 190.45/190.66 class_Groups_Oone(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Int__Oint__Rings_Odvd,axiom,
% 190.45/190.66 class_Rings_Odvd(tc_Int_Oint) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 190.45/190.66 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 190.45/190.66 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 190.45/190.66 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 190.45/190.66 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 190.45/190.66 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 190.45/190.66 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 190.45/190.66 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 190.45/190.66 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 190.45/190.66 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 190.45/190.66 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 190.45/190.66 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 190.45/190.66 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 190.45/190.66 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 190.45/190.66 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 190.45/190.66 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 190.45/190.66 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 190.45/190.66 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 190.45/190.66 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 190.45/190.66 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 190.45/190.66 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 190.45/190.66 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 190.45/190.66 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 190.45/190.66 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 190.45/190.66 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 190.45/190.66 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 190.45/190.66 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 190.45/190.66 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 190.45/190.66 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 190.45/190.66 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 190.45/190.66 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 190.45/190.66 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 190.45/190.66 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 190.45/190.66 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 190.45/190.66 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 190.45/190.66 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 190.45/190.66 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 190.45/190.66 class_Lattices_Olattice(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 190.45/190.66 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 190.45/190.66 class_Orderings_Oorder(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 190.45/190.66 class_Rings_Osemiring(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 190.45/190.66 class_Orderings_Oord(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 190.45/190.66 class_Orderings_Obot(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 190.45/190.66 class_Groups_Ominus(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Power_Opower,axiom,
% 190.45/190.66 class_Power_Opower(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 190.45/190.66 class_Groups_Ozero(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 190.45/190.66 class_Int_Onumber(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 190.45/190.66 class_Groups_Oone(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Rings_Odvd,axiom,
% 190.45/190.66 class_Rings_Odvd(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nat__Onat__Nat_Osize,axiom,
% 190.45/190.66 class_Nat_Osize(tc_Nat_Onat) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 190.45/190.66 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 190.45/190.66 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 190.45/190.66 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 190.45/190.66 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 190.45/190.66 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 190.45/190.66 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 190.45/190.66 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 190.45/190.66 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 190.45/190.66 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 190.45/190.66 class_Lattices_Olattice(tc_HOL_Obool) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 190.45/190.66 class_Orderings_Oorder(tc_HOL_Obool) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 190.45/190.66 class_Orderings_Otop(tc_HOL_Obool) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 190.45/190.66 class_Orderings_Oord(tc_HOL_Obool) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 190.45/190.66 class_Orderings_Obot(tc_HOL_Obool) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 190.45/190.66 class_Groups_Ouminus(tc_HOL_Obool) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 190.45/190.66 class_Groups_Ominus(tc_HOL_Obool) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_HOL__Obool__Enum_Oenum,axiom,
% 190.45/190.66 class_Enum_Oenum(tc_HOL_Obool) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_HOL__Obool__Nat_Osize,axiom,
% 190.45/190.66 class_Nat_Osize(tc_HOL_Obool) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom,
% 190.45/190.66 ! [T_1] :
% 190.45/190.66 ( class_Lazy__Sequence_Osmall__lazy(T_1)
% 190.45/190.66 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_List__Olist__Nat_Osize,axiom,
% 190.45/190.66 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 190.45/190.66 ! [T_1,T_2] :
% 190.45/190.66 ( ( class_Finite__Set_Ofinite(T_2)
% 190.45/190.66 & class_Finite__Set_Ofinite(T_1) )
% 190.45/190.66 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_sum__Enum_Oenum,axiom,
% 190.45/190.66 ! [T_1,T_2] :
% 190.45/190.66 ( ( class_Enum_Oenum(T_2)
% 190.45/190.66 & class_Enum_Oenum(T_1) )
% 190.45/190.66 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_sum__Nat_Osize,axiom,
% 190.45/190.66 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 190.45/190.66 ! [T_1] :
% 190.45/190.66 ( class_Finite__Set_Ofinite(T_1)
% 190.45/190.66 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Option__Ooption__Enum_Oenum,axiom,
% 190.45/190.66 ! [T_1] :
% 190.45/190.66 ( class_Enum_Oenum(T_1)
% 190.45/190.66 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Option__Ooption__Nat_Osize,axiom,
% 190.45/190.66 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom,
% 190.45/190.66 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom,
% 190.45/190.66 ! [T_1,T_2] :
% 190.45/190.66 ( ( class_Lazy__Sequence_Osmall__lazy(T_2)
% 190.45/190.66 & class_Lazy__Sequence_Osmall__lazy(T_1) )
% 190.45/190.66 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 190.45/190.66 ! [T_1,T_2] :
% 190.45/190.66 ( ( class_Finite__Set_Ofinite(T_2)
% 190.45/190.66 & class_Finite__Set_Ofinite(T_1) )
% 190.45/190.66 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_prod__Enum_Oenum,axiom,
% 190.45/190.66 ! [T_1,T_2] :
% 190.45/190.66 ( ( class_Enum_Oenum(T_2)
% 190.45/190.66 & class_Enum_Oenum(T_1) )
% 190.45/190.66 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_prod__Nat_Osize,axiom,
% 190.45/190.66 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom,
% 190.45/190.66 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 190.45/190.66 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom,
% 190.45/190.66 class_Enum_Oenum(tc_Product__Type_Ounit) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Product____Type__Ounit__Nat_Osize,axiom,
% 190.45/190.66 class_Nat_Osize(tc_Product__Type_Ounit) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom,
% 190.45/190.66 class_Nat_Osize(tc_Code__Evaluation_Oterm) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 190.45/190.66 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 190.45/190.66 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 190.45/190.66 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 190.45/190.66 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 190.45/190.66 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 190.45/190.66 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 190.45/190.66 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 190.45/190.66 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 190.45/190.66 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 190.45/190.66 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 190.45/190.66 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 190.45/190.66 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 190.45/190.66 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 190.45/190.66 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 190.45/190.66 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 190.45/190.66 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 190.45/190.66 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 190.45/190.66 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 190.45/190.66 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 190.45/190.66 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 190.45/190.66 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 190.45/190.66 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 190.45/190.66 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 190.45/190.66 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 190.45/190.66 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 190.45/190.66 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 190.45/190.66 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 190.45/190.66 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 190.45/190.66 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 190.45/190.66 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 190.45/190.66 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 190.45/190.66 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 190.45/190.66 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 190.45/190.66 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 190.45/190.66 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 190.45/190.66 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 190.45/190.66 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 190.45/190.66 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 190.45/190.66 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 190.45/190.66 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Rings_Odvd,axiom,
% 190.45/190.66 class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom,
% 190.45/190.66 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ).
% 190.45/190.66
% 190.45/190.66 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom,
% 190.45/190.66 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 190.45/190.66
% 190.45/190.66 %----Helper facts (20)
% 190.45/190.66 fof(help_c__COMBI__1,axiom,
% 190.45/190.66 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 190.45/190.66
% 190.45/190.66 fof(help_c__COMBK__1,axiom,
% 190.45/190.66 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 190.45/190.66
% 190.45/190.66 fof(help_c__COMBB__1,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(help_c__COMBC__1,axiom,
% 190.45/190.66 ! [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) ).
% 190.45/190.66
% 190.45/190.66 fof(help_c__COMBS__1,axiom,
% 190.45/190.66 ! [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)) ).
% 190.45/190.66
% 190.45/190.66 fof(help_c__fequal__1,axiom,
% 190.45/190.66 ! [V_y_2,V_x_2] :
% 190.45/190.66 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 190.45/190.66 | V_x_2 = V_y_2 ) ).
% 190.45/190.66
% 190.45/190.66 fof(help_c__fequal__2,axiom,
% 190.45/190.66 ! [V_y_2,V_x_2] :
% 190.45/190.66 ( V_x_2 != V_y_2
% 190.45/190.66 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(help_c__fFalse__1,axiom,
% 190.45/190.66 ~ hBOOL(c_fFalse) ).
% 190.45/190.66
% 190.45/190.66 fof(help_c__fTrue__1,axiom,
% 190.45/190.66 hBOOL(c_fTrue) ).
% 190.45/190.66
% 190.45/190.66 fof(help_c__fNot__1,axiom,
% 190.45/190.66 ! [V_Pa_2] :
% 190.45/190.66 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2))
% 190.45/190.66 | ~ hBOOL(V_Pa_2) ) ).
% 190.45/190.66
% 190.45/190.66 fof(help_c__fNot__2,axiom,
% 190.45/190.66 ! [V_Pa_2] :
% 190.45/190.66 ( ~ ~ hBOOL(V_Pa_2)
% 190.45/190.66 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(help_c__fconj__1,axiom,
% 190.45/190.66 ! [V_Q_2,V_Pa_2] :
% 190.45/190.66 ( ~ hBOOL(V_Pa_2)
% 190.45/190.66 | ~ hBOOL(V_Q_2)
% 190.45/190.66 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(help_c__fconj__2,axiom,
% 190.45/190.66 ! [V_Q_2,V_Pa_2] :
% 190.45/190.66 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2))
% 190.45/190.66 | hBOOL(V_Pa_2) ) ).
% 190.45/190.66
% 190.45/190.66 fof(help_c__fconj__3,axiom,
% 190.45/190.66 ! [V_Q_2,V_Pa_2] :
% 190.45/190.66 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2))
% 190.45/190.66 | hBOOL(V_Q_2) ) ).
% 190.45/190.66
% 190.45/190.66 fof(help_c__fdisj__1,axiom,
% 190.45/190.66 ! [V_Q_2,V_Pa_2] :
% 190.45/190.66 ( ~ hBOOL(V_Pa_2)
% 190.45/190.66 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(help_c__fdisj__2,axiom,
% 190.45/190.66 ! [V_Pa_2,V_Q_2] :
% 190.45/190.66 ( ~ hBOOL(V_Q_2)
% 190.45/190.66 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(help_c__fdisj__3,axiom,
% 190.45/190.66 ! [V_Q_2,V_Pa_2] :
% 190.45/190.66 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2))
% 190.45/190.66 | hBOOL(V_Pa_2)
% 190.45/190.66 | hBOOL(V_Q_2) ) ).
% 190.45/190.66
% 190.45/190.66 fof(help_c__fimplies__1,axiom,
% 190.45/190.66 ! [V_Q_2,V_Pa_2] :
% 190.45/190.66 ( hBOOL(V_Pa_2)
% 190.45/190.66 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(help_c__fimplies__2,axiom,
% 190.45/190.66 ! [V_Pa_2,V_Q_2] :
% 190.45/190.66 ( ~ hBOOL(V_Q_2)
% 190.45/190.66 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) ) ).
% 190.45/190.66
% 190.45/190.66 fof(help_c__fimplies__3,axiom,
% 190.45/190.66 ! [V_Q_2,V_Pa_2] :
% 190.45/190.66 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2))
% 190.45/190.66 | ~ hBOOL(V_Pa_2)
% 190.45/190.66 | hBOOL(V_Q_2) ) ).
% 190.45/190.66
% 190.45/190.66 %----Conjectures (3)
% 190.45/190.66 fof(conj_0,hypothesis,
% 190.45/190.66 hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),v_U)) ).
% 190.45/190.66
% 190.45/190.66 fof(conj_1,hypothesis,
% 190.45/190.66 v_uG = hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U) ).
% 190.45/190.66
% 190.45/190.66 fof(conj_2,conjecture,
% 190.45/190.66 ! [B_G] :
% 190.45/190.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),B_G),v_uG))
% 190.45/190.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(t_a),v_uG)))
% 190.45/190.66 => ( hAPP(c_Finite__Set_Ocard(t_a),B_G) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(t_a),v_uG)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 190.45/190.66 => ! [B_c] :
% 190.45/190.66 ( v_wt(B_c)
% 190.45/190.66 => v_P(B_G,hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(B_c)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ) ) ) ) ).
% 190.45/190.66
% 190.45/190.66 %------------------------------------------------------------------------------
% 190.45/190.66 %-------------------------------------------
% 190.45/190.66 % Proof found
% 190.45/190.66 % SZS status Theorem for theBenchmark
% 190.45/190.66 % SZS output start Proof
% 190.45/190.67 %ClaNum:10393(EqnAxiom:3032)
% 190.45/190.67 %VarNum:70764(SingletonVarNum:20402)
% 190.45/190.67 %MaxLitNum:8
% 190.45/190.67 %MaxfuncDepth:13
% 190.45/190.67 %SharedTerms:1011
% 190.45/190.67 %goalClause: 3037 3474 3667 4615
% 190.45/190.67 %singleGoalClaCount:4
% 190.45/190.67 [3036]P1(a177)
% 190.45/190.67 [3037]P149(a313)
% 190.45/190.67 [3038]P2(a895)
% 190.45/190.67 [3039]P2(a898)
% 190.45/190.67 [3040]P65(a1)
% 190.45/190.67 [3041]P81(a895)
% 190.45/190.67 [3042]P81(a899)
% 190.45/190.67 [3043]P81(a1)
% 190.45/190.67 [3044]P81(a89)
% 190.45/190.67 [3045]P82(a895)
% 190.45/190.67 [3046]P82(a899)
% 190.45/190.67 [3047]P107(a895)
% 190.45/190.67 [3048]P107(a899)
% 190.45/190.67 [3049]P107(a1)
% 190.45/190.67 [3050]P107(a89)
% 190.45/190.67 [3051]P66(a1)
% 190.45/190.67 [3052]P67(a1)
% 190.45/190.67 [3053]P108(a899)
% 190.45/190.67 [3054]P108(a1)
% 190.45/190.67 [3055]P108(a89)
% 190.45/190.67 [3056]P109(a895)
% 190.45/190.67 [3057]P109(a899)
% 190.45/190.67 [3058]P109(a1)
% 190.45/190.67 [3059]P109(a89)
% 190.45/190.67 [3060]P83(a899)
% 190.45/190.67 [3061]P83(a1)
% 190.45/190.67 [3062]P83(a89)
% 190.45/190.67 [3063]P75(a899)
% 190.45/190.67 [3064]P75(a1)
% 190.45/190.67 [3065]P75(a89)
% 190.45/190.67 [3066]P110(a899)
% 190.45/190.67 [3067]P110(a1)
% 190.45/190.67 [3068]P110(a89)
% 190.45/190.67 [3069]P76(a895)
% 190.45/190.67 [3070]P76(a899)
% 190.45/190.67 [3071]P76(a1)
% 190.45/190.67 [3072]P76(a89)
% 190.45/190.67 [3073]P127(a899)
% 190.45/190.67 [3074]P127(a1)
% 190.45/190.67 [3075]P127(a89)
% 190.45/190.67 [3076]P111(a1)
% 190.45/190.67 [3077]P68(a899)
% 190.45/190.67 [3078]P68(a1)
% 190.45/190.67 [3079]P68(a89)
% 190.45/190.67 [3080]P69(a899)
% 190.45/190.67 [3081]P69(a1)
% 190.45/190.67 [3082]P69(a89)
% 190.45/190.67 [3083]P84(a899)
% 190.45/190.67 [3084]P84(a1)
% 190.45/190.67 [3085]P84(a89)
% 190.77/190.67 [3086]P87(a899)
% 190.77/190.67 [3087]P87(a1)
% 190.77/190.67 [3088]P87(a89)
% 190.77/190.67 [3089]P70(a899)
% 190.77/190.67 [3090]P70(a1)
% 190.77/190.67 [3091]P70(a89)
% 190.77/190.67 [3092]P88(a899)
% 190.77/190.67 [3093]P88(a1)
% 190.77/190.67 [3094]P88(a89)
% 190.77/190.67 [3095]P77(a1)
% 190.77/190.67 [3096]P85(a899)
% 190.77/190.67 [3097]P85(a1)
% 190.77/190.67 [3098]P85(a89)
% 190.77/190.67 [3099]P79(a899)
% 190.77/190.67 [3100]P79(a1)
% 190.77/190.67 [3101]P79(a89)
% 190.77/190.67 [3102]P73(a899)
% 190.77/190.67 [3103]P73(a1)
% 190.77/190.67 [3104]P73(a89)
% 190.77/190.67 [3105]P112(a899)
% 190.77/190.67 [3106]P112(a1)
% 190.77/190.67 [3107]P112(a89)
% 190.77/190.67 [3108]P146(a899)
% 190.77/190.67 [3109]P146(a1)
% 190.77/190.67 [3110]P92(a1)
% 190.77/190.67 [3111]P128(a1)
% 190.77/190.67 [3112]P129(a1)
% 190.77/190.67 [3113]P93(a899)
% 190.77/190.67 [3114]P93(a1)
% 190.77/190.67 [3115]P93(a89)
% 190.77/190.67 [3116]P132(a1)
% 190.77/190.67 [3117]P141(a899)
% 190.77/190.67 [3118]P141(a1)
% 190.77/190.67 [3119]P141(a89)
% 190.77/190.67 [3120]P94(a1)
% 190.77/190.67 [3121]P71(a899)
% 190.77/190.67 [3122]P71(a1)
% 190.77/190.67 [3123]P71(a89)
% 190.77/190.67 [3124]P133(a899)
% 190.77/190.67 [3125]P133(a1)
% 190.77/190.67 [3126]P133(a89)
% 190.77/190.67 [3127]P142(a1)
% 190.77/190.67 [3128]P135(a899)
% 190.77/190.67 [3129]P135(a1)
% 190.77/190.67 [3130]P135(a89)
% 190.77/190.67 [3131]P113(a899)
% 190.77/190.67 [3132]P113(a1)
% 190.77/190.67 [3133]P113(a89)
% 190.77/190.67 [3134]P80(a899)
% 190.77/190.67 [3135]P80(a1)
% 190.77/190.67 [3136]P80(a89)
% 190.77/190.67 [3137]P74(a899)
% 190.77/190.67 [3138]P74(a1)
% 190.77/190.67 [3139]P74(a89)
% 190.77/190.67 [3140]P125(a1)
% 190.77/190.67 [3141]P126(a1)
% 190.77/190.67 [3142]P136(a899)
% 190.77/190.67 [3143]P136(a1)
% 190.77/190.67 [3144]P136(a89)
% 190.77/190.67 [3145]P137(a1)
% 190.77/190.67 [3146]P139(a899)
% 190.77/190.67 [3147]P139(a1)
% 190.77/190.67 [3148]P139(a89)
% 190.77/190.67 [3149]P138(a899)
% 190.77/190.67 [3150]P138(a1)
% 190.77/190.67 [3151]P138(a89)
% 190.77/190.67 [3152]P134(a899)
% 190.77/190.67 [3153]P134(a1)
% 190.77/190.67 [3154]P134(a89)
% 190.77/190.67 [3155]P119(a899)
% 190.77/190.67 [3156]P119(a1)
% 190.77/190.67 [3157]P119(a89)
% 190.77/190.67 [3158]P130(a899)
% 190.77/190.67 [3159]P130(a1)
% 190.77/190.67 [3160]P130(a89)
% 190.77/190.67 [3161]P131(a1)
% 190.77/190.67 [3162]P95(a899)
% 190.77/190.67 [3163]P95(a1)
% 190.77/190.67 [3164]P95(a89)
% 190.77/190.67 [3165]P144(a899)
% 190.77/190.67 [3166]P144(a1)
% 190.77/190.67 [3167]P144(a89)
% 190.77/190.67 [3168]P96(a895)
% 190.77/190.67 [3169]P89(a895)
% 190.77/190.67 [3170]P89(a1)
% 190.77/190.67 [3171]P120(a1)
% 190.77/190.67 [3172]P143(a1)
% 190.77/190.67 [3173]P114(a1)
% 190.77/190.67 [3174]P115(a899)
% 190.77/190.67 [3175]P115(a1)
% 190.77/190.67 [3176]P115(a89)
% 190.77/190.67 [3177]P145(a899)
% 190.77/190.67 [3178]P145(a1)
% 190.77/190.67 [3179]P145(a89)
% 190.77/190.67 [3180]P3(a899)
% 190.77/190.67 [3181]P3(a1)
% 190.77/190.67 [3182]P3(a89)
% 190.77/190.67 [3183]P4(a1)
% 190.77/190.67 [3184]P98(a895)
% 190.77/190.67 [3185]P98(a899)
% 190.77/190.67 [3186]P98(a1)
% 190.77/190.67 [3187]P99(a895)
% 190.77/190.67 [3188]P99(a899)
% 190.77/190.67 [3189]P99(a1)
% 190.77/190.67 [3190]P100(a895)
% 190.77/190.67 [3191]P104(a895)
% 190.77/190.67 [3192]P104(a899)
% 190.77/190.67 [3193]P104(a1)
% 190.77/190.67 [3194]P102(a895)
% 190.77/190.67 [3195]P102(a899)
% 190.77/190.67 [3196]P102(a1)
% 190.77/190.67 [3197]P90(a1)
% 190.77/190.67 [3198]P5(a895)
% 190.77/190.67 [3199]P86(a1)
% 190.77/190.67 [3200]P140(a1)
% 190.77/190.67 [3201]P72(a1)
% 190.77/190.67 [3202]P116(a895)
% 190.77/190.67 [3203]P103(a895)
% 190.77/190.67 [3204]P78(a899)
% 190.77/190.67 [3205]P78(a1)
% 190.77/190.67 [3206]P78(a89)
% 190.77/190.67 [3207]P117(a899)
% 190.77/190.67 [3208]P91(a899)
% 190.77/190.67 [3209]P91(a1)
% 190.77/190.67 [3210]P91(a89)
% 190.77/190.67 [3211]P60(a895)
% 190.77/190.67 [3212]P60(a898)
% 190.77/190.67 [3213]P106(a895)
% 190.77/190.67 [3214]P106(a899)
% 190.77/190.67 [3215]P106(a896)
% 190.77/190.67 [3216]P106(a89)
% 190.77/190.67 [3217]P106(a898)
% 190.77/190.67 [3218]P106(a835)
% 190.77/190.67 [3219]P105(a1)
% 190.77/190.67 [3220]P105(a898)
% 190.77/190.67 [3221]P121(a899)
% 190.77/190.67 [3222]P121(a1)
% 190.77/190.67 [3223]P121(a89)
% 190.77/190.67 [3224]P118(a1)
% 190.77/190.67 [3225]P101(a895)
% 190.77/190.67 [3239]P36(a899,a230)
% 190.77/190.67 [3240]P36(a899,a307)
% 190.77/190.67 [3241]P37(a899,a230)
% 190.77/190.67 [4568]~E(a87,a77)
% 190.77/190.67 [4569]~P1(a229)
% 190.77/190.67 [3033]E(f2(a1),a77)
% 190.77/190.67 [3034]E(f90(a89),a3)
% 190.77/190.67 [3035]E(f23(a89),a24)
% 190.77/190.67 [3226]E(f178(a899),f2(a899))
% 190.77/190.67 [3227]E(f223(a899),f91(a899))
% 190.77/190.67 [3228]E(f228(a899),f92(a899))
% 190.77/190.67 [3229]E(f93(a1),f25(a1))
% 190.77/190.67 [3230]E(f78(a229),f2(a899))
% 190.77/190.67 [3231]E(f78(a177),f2(a899))
% 190.77/190.67 [3232]P6(f2(a1))
% 190.77/190.67 [3233]P6(f72(a1))
% 190.77/190.67 [3287]P36(f905(a899,a899),a26)
% 190.77/190.67 [3631]E(f310(a899,a899,a230,a230),a26)
% 190.77/190.67 [4570]~E(f72(a1),f2(a1))
% 190.77/190.67 [3234]E(f4(f2(a89)),f2(a899))
% 190.77/190.67 [3235]E(f101(f2(a899)),f2(a899))
% 190.77/190.67 [3243]E(f836(f73(a1),a77),a77)
% 190.77/190.67 [3247]E(f836(a3,f2(a899)),f2(a89))
% 190.77/190.67 [3248]E(f836(a102,f2(a899)),f72(a899))
% 190.77/190.67 [3249]E(f836(a95,f72(a1)),f72(a899))
% 190.77/190.67 [3250]E(f836(a3,f72(a899)),f72(a89))
% 190.77/190.67 [3252]E(f836(f94(a1),a77),f2(a1))
% 190.77/190.67 [3253]E(f836(f94(a89),a77),f2(a89))
% 190.77/190.67 [3254]E(f836(a95,f2(a1)),f2(a899))
% 190.77/190.67 [3255]E(f836(f94(a899),a77),f2(a899))
% 190.77/190.67 [3256]E(f836(f179(a895),a229),f2(a899))
% 190.77/190.67 [3257]E(f836(f179(a895),a177),f2(a899))
% 190.77/190.67 [3263]E(f836(f73(a1),f72(a1)),a87)
% 190.77/190.67 [3270]E(f836(f90(a1),f2(a899)),f2(a1))
% 190.77/190.67 [3271]E(f836(f90(a1),f72(a899)),f72(a1))
% 190.77/190.67 [3272]E(f836(f73(a1),f2(a1)),f2(a1))
% 190.77/190.67 [3274]E(f836(f179(a89),f2(a89)),f2(a899))
% 190.77/190.67 [3284]E(f836(a95,f72(a1)),f836(a102,f2(a899)))
% 190.77/190.67 [3285]E(f308(f905(a899,a899),a26),a27)
% 190.77/190.67 [3286]E(f309(f905(a899,a899),a26),a28)
% 190.77/190.67 [3288]P1(f836(f29(a897),a907))
% 190.77/190.67 [3314]E(f836(f272(a899),f2(a899)),f178(f906(a899,a895)))
% 190.77/190.67 [3315]E(f836(f273(a899),f2(a899)),f232(f906(a899,a895)))
% 190.77/190.67 [3323]P39(f178(f906(a1,a895)))
% 190.77/190.67 [3357]E(f836(f836(f23(a89),f2(a89)),f72(a89)),f2(a89))
% 190.77/190.67 [3432]P1(f836(f836(f225(a1),a87),f2(a1)))
% 190.77/190.67 [3452]E(f836(f300(a897,a894,a908),a907),a910)
% 190.77/190.67 [3458]P1(f836(f836(f224(a1),f2(a1)),f72(a1)))
% 190.77/190.67 [3459]P1(f836(f836(f225(a1),f2(a1)),f72(a1)))
% 190.77/190.67 [3474]E(f836(f836(f23(a899),f836(f30(a894),a910)),f2(a899)),f836(f30(a894),a794))
% 190.77/190.67 [3662]E(f836(f836(f279(a899,a899,a899),a307),f297(a899,a307)),a230)
% 190.77/190.67 [3700]P40(a1,a899,a95,f836(f224(a1),f2(a1)))
% 190.77/190.67 [3704]E(f836(f836(f35(a899,f906(a899,a895)),f232(f906(a899,a895))),f272(a899)),f232(f906(a899,a895)))
% 190.77/190.67 [3705]E(f836(f836(f35(a899,f906(a899,a895)),f232(f906(a899,a895))),f291(a899)),f232(f906(a899,a895)))
% 190.77/190.67 [3706]E(f836(f836(f35(a899,f906(a899,a895)),f232(f906(a899,a895))),f273(a899)),f232(f906(a899,a895)))
% 190.77/190.67 [3707]E(f836(f836(f36(a899,f906(a899,a895)),f232(f906(a899,a895))),f294(a899)),f178(f906(a899,a895)))
% 190.77/190.67 [3722]P24(a899,a1,f90(a1),f232(f906(a899,a895)))
% 190.77/190.67 [3736]P40(a899,a1,f90(a1),f836(f16(a895,a899),a177))
% 190.77/190.67 [3871]E(f836(f67(a899,a89,a1,a3),a95),f94(a89))
% 190.77/190.67 [4090]P56(a89,a899,a20,a3,f232(f906(a899,a895)))
% 190.77/190.67 [4094]P56(a1,f906(f905(a899,a899),a895),a97,a83,a88)
% 190.77/190.67 [4348]E(f248(a1,a1,a1,a1,f25(a1),f73(a1)),a47)
% 190.77/190.67 [4579]~E(f836(f94(a1),a87),f836(f94(a1),a77))
% 190.77/190.67 [4580]~P1(f836(a183,f2(a1)))
% 190.77/190.67 [4581]~P1(f836(a183,f72(a1)))
% 190.77/190.67 [4606]~P1(f836(f836(f225(a1),a77),f2(a1)))
% 190.77/190.67 [3306]E(f836(f836(f23(a1),a87),a87),a77)
% 190.77/190.67 [3321]E(f836(f90(a1),f836(a102,f2(a899))),f72(a1))
% 190.77/190.67 [3386]E(f836(f30(a898),f232(f906(a898,a895))),f72(a899))
% 190.77/190.67 [3406]P1(f836(a183,f836(f94(a1),a87)))
% 190.77/190.67 [3408]P1(f836(f836(f224(a1),a87),a77))
% 190.77/190.67 [3410]P1(f836(f836(f225(a1),a87),a77))
% 190.77/190.67 [3467]E(f836(f836(f299(a899),f2(a899)),f178(f906(a899,a895))),f836(f291(a899),f2(a899)))
% 190.77/190.67 [3522]P1(f836(f836(f224(a1),f2(a1)),f836(f94(a1),a77)))
% 190.77/190.67 [3534]E(f836(f300(a899,a899,a102),f232(f906(a899,a895))),f836(f294(a899),f2(a899)))
% 190.77/190.67 [3569]P8(f905(a899,a899),f232(f906(f905(a899,a899),a895)),a99)
% 190.77/190.67 [3878]E(f836(f67(a899,a1,a89,f90(a1)),a20),a22)
% 190.77/190.67 [3937]P36(a899,f836(f252(f905(a899,a899)),f836(f247(a899,a899,a895),f225(a899))))
% 190.77/190.67 [4597]~P1(f836(a183,f836(f94(a1),a77)))
% 190.77/190.67 [4598]~P1(f836(f836(f224(a1),a77),a87))
% 190.77/190.67 [4599]~P1(f836(f836(f225(a1),a77),a77))
% 190.77/190.67 [4600]~P1(f836(f836(f225(a1),a77),a87))
% 190.77/190.67 [4601]~P1(f836(f836(f225(a1),a87),a87))
% 190.77/190.67 [4610]~P1(f836(f29(a899),f232(f906(a899,a895))))
% 190.77/190.67 [4611]~P1(f836(f29(a1),f232(f906(a1,a895))))
% 190.77/190.67 [4615]~P150(a794,f836(f836(f299(a894),f909(a313)),f178(f906(a894,a895))))
% 190.77/190.67 [3667]P1(f836(f836(f224(f906(a894,a895)),a794),a910))
% 190.77/190.67 [4514]E(f836(f247(a1,a1,a895),f836(f836(f8(f906(a1,a895),f906(a1,a895),a1),f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a315),f836(f225(a1),f2(a1))))),f836(f836(f7(a1,a1,f906(a1,a895)),f836(f836(f8(f906(a1,f906(a1,a895)),f906(a1,f906(a1,a895)),a1),f7(a1,a1,a895)),f836(f836(f8(f906(a1,a1),f906(a1,f906(a1,a895)),a1),f836(f8(a1,f906(a1,a895),a1),a314)),a207))),f72(a1)))),a203)
% 190.77/190.67 [3606]E(f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87),f836(f73(a1),a87))
% 190.77/190.67 [3644]E(f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87),f836(f836(f23(a1),a77),a87))
% 190.77/190.67 [3805]E(f836(f836(f56(f905(a899,a899)),f232(f906(f905(a899,a899),a895))),a99),a88)
% 190.77/190.67 [3834]E(f836(f94(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f72(a1))
% 190.77/190.67 [3835]E(f836(f94(a89),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f72(a89))
% 190.77/190.67 [3836]E(f836(f94(a899),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f72(a899))
% 190.77/190.67 [3839]E(f836(f94(a899),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(a102,f2(a899)))
% 190.77/190.67 [4216]E(f836(f836(f91(f906(f905(f905(a899,a899),f905(a899,a899)),a895)),a26),f297(f905(a899,a899),f178(f906(f905(f905(a899,a899),f905(a899,a899)),a895)))),a65)
% 190.77/190.67 [4282]E(f836(a83,f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),f836(f836(f242(a899,a899),f2(a899)),f2(a899))),f178(f906(f905(a899,a899),a895))))),f2(a1))
% 190.77/190.67 [4283]E(f836(a83,f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),f836(f836(f242(a899,a899),f72(a899)),f2(a899))),f178(f906(f905(a899,a899),a895))))),f72(a1))
% 190.77/190.67 [4296]E(f836(f252(f905(a899,a899)),f836(f247(a899,a899,a895),f836(f836(f8(a899,f906(a899,a895),a899),f836(f7(a899,a899,a895),a314)),a102))),a307)
% 190.77/190.67 [4268]E(f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))),f836(a102,f836(a102,f2(a899))))
% 190.77/190.67 [4271]E(f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))),f836(f836(f74(a899),f72(a899)),f72(a899)))
% 190.77/190.67 [4272]E(f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))),f836(f30(a895),f232(f906(a895,a895))))
% 190.77/190.67 [4335]P6(f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))
% 190.77/190.67 [4404]P26(f906(f905(a899,a899),a895),f836(f836(f242(f906(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),a895),f906(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),a895)),a27),a66))
% 190.77/190.67 [4405]P26(f906(f905(a899,a899),a895),f836(f836(f242(f906(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),a895),f906(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),a895)),a28),a64))
% 190.77/190.67 [4445]E(f836(f836(f91(f906(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),a895)),f309(f905(a899,a899),a65)),f836(f836(f299(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f836(f836(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),f178(f906(f905(a899,a899),a895))),f178(f906(f905(a899,a899),a895)))),f178(f906(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),a895)))),a64)
% 190.77/190.67 [4446]E(f836(f836(f91(f906(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),a895)),f308(f905(a899,a899),a65)),f836(f836(f299(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f836(f836(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),f178(f906(f905(a899,a899),a895))),f178(f906(f905(a899,a899),a895)))),f178(f906(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),a895)))),a66)
% 190.77/190.67 [4337]E(f836(a95,f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f836(a102,f836(a102,f2(a899))))
% 190.77/190.67 [4382]E(f836(f90(a1),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))
% 190.77/190.67 [4415]P1(f836(f836(f224(a1),f2(a1)),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))))
% 190.77/190.67 [4416]E(f836(f94(a899),f836(f836(f23(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))),a87)),f836(a102,f836(a102,f836(a102,f2(a899)))))
% 190.77/190.67 [4460]P6(f836(f94(a1),f836(f836(f23(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))),a87)))
% 190.77/190.67 [4486]E(f836(f90(a1),f836(f94(a899),f836(f836(f23(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))),a87))),f836(f94(a1),f836(f836(f23(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))),a87)))
% 190.77/190.67 [4499]P1(f836(f836(f224(a1),f2(a1)),f836(f94(a1),f836(f836(f23(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))),a87))))
% 190.77/190.67 [3242]P7(x32421,a314)
% 190.77/190.67 [3632]P24(a899,a899,a102,x36321)
% 190.77/190.67 [3236]P106(f902(x32361))
% 190.77/190.67 [3237]P106(f900(x32371))
% 190.77/190.67 [3238]P106(f901(x32381))
% 190.77/190.67 [3258]P36(a1,f96(x32581))
% 190.77/190.67 [3259]P36(a1,f98(x32591))
% 190.77/190.67 [3310]P36(f906(x33101,a895),f304(x33101))
% 190.77/190.67 [3311]P37(f906(x33111,a895),f304(x33111))
% 190.77/190.67 [3335]E(f233(x33351,x33351,a314),a314)
% 190.77/190.67 [3350]E(f41(a1,x33501,x33501),f2(a1))
% 190.77/190.67 [3403]P14(x34031,f906(x34031,a895),f299(x34031))
% 190.77/190.67 [4572]~E(f836(a102,x45721),x45721)
% 190.77/190.67 [4578]~E(f836(a102,x45781),f2(a899))
% 190.77/190.67 [3244]E(f836(f94(a1),x32441),x32441)
% 190.77/190.67 [3245]E(f836(f179(a899),x32451),x32451)
% 190.77/190.67 [3260]E(f836(a83,f317(x32601)),x32601)
% 190.77/190.67 [3261]E(f836(a3,f510(x32611)),x32611)
% 190.77/190.67 [3262]E(f231(x32621,f2(a89)),f2(a89))
% 190.77/190.67 [3275]E(f104(x32751,f103(x32751)),f103(x32751))
% 190.77/190.67 [3276]E(f142(x32761,f103(x32761)),f103(x32761))
% 190.77/190.67 [3281]E(f836(f157(x32811),f103(x32811)),f103(x32811))
% 190.77/190.67 [3282]E(f836(f161(x32821),f103(x32821)),f103(x32821))
% 190.77/190.67 [3283]E(f836(f158(x32831),f103(x32831)),f103(x32831))
% 190.77/190.67 [3289]E(f836(f94(a1),x32891),f836(f93(a1),x32891))
% 190.77/190.67 [3290]E(f836(a83,f836(a97,x32901)),x32901)
% 190.77/190.67 [3292]E(f836(a3,f836(a20,x32921)),x32921)
% 190.77/190.67 [3293]E(f836(a20,f836(a3,x32931)),x32931)
% 190.77/190.67 [3295]P6(f836(f90(a1),x32951))
% 190.77/190.67 [3304]E(f836(f179(f900(x33041)),f103(x33041)),f2(a899))
% 190.77/190.67 [3305]E(f836(f179(f901(x33051)),f109(x33051)),f2(a899))
% 190.77/190.67 [3326]E(f836(f836(f23(a899),x33261),f2(a899)),x33261)
% 190.77/190.67 [3327]E(f836(f836(f74(a899),x33271),f2(a899)),x33271)
% 190.77/190.67 [3328]E(f836(f836(f74(a1),x33281),f2(a1)),x33281)
% 190.77/190.67 [3329]E(f836(f836(f75(a899),x33291),f72(a899)),x33291)
% 190.77/190.67 [3330]E(f836(f836(f75(a1),x33301),f72(a1)),x33301)
% 190.77/190.67 [3331]E(f836(f836(f223(a899),x33311),f2(a899)),x33311)
% 190.77/190.67 [3332]E(f836(f836(f75(a899),x33321),f2(a899)),f2(a899))
% 190.77/190.67 [3333]E(f836(f836(f228(a899),x33331),f2(a899)),f2(a899))
% 190.77/190.67 [3334]E(f836(f836(f31(a1),x33341),f2(a1)),f2(a1))
% 190.77/190.67 [3341]E(f836(f162(x33411),f103(x33411)),f178(f906(x33411,a895)))
% 190.77/190.67 [3345]P1(f836(f127(x33451),f103(x33451)))
% 190.77/190.67 [3351]E(f836(f144(x33511,x33511),f5(x33511)),f25(f900(x33511)))
% 190.77/190.67 [3352]E(f836(f144(x33521,x33521),f25(x33521)),f25(f900(x33521)))
% 190.77/190.67 [3353]E(f41(a1,x33531,f2(a1)),x33531)
% 190.77/190.67 [3354]E(f836(f224(a899),f836(a102,x33541)),f836(f225(a899),x33541))
% 190.77/190.67 [3355]E(f836(f272(a899),f836(a102,x33551)),f836(f291(a899),x33551))
% 190.77/190.67 [3356]E(f836(f273(a899),f836(a102,x33561)),f836(f294(a899),x33561))
% 190.77/190.67 [3358]E(f41(a1,f2(a1),x33581),f2(a1))
% 190.77/190.67 [3371]E(f836(f836(f74(a899),x33711),f72(a899)),f836(a102,x33711))
% 190.77/190.67 [3380]E(f836(f292(a899,x33801),f2(a899)),f178(f906(a899,a895)))
% 190.77/190.67 [3392]E(f293(a899,f2(a899),x33921),f836(f291(a899),x33921))
% 190.77/190.67 [3435]E(f836(f836(f23(a899),f836(a102,x34351)),f72(a899)),x34351)
% 190.77/190.67 [3447]E(f43(f2(a1),x34471),f836(f836(f242(a1,a1),f2(a1)),f2(a1)))
% 190.77/190.67 [3496]P1(f836(f836(f225(a899),x34961),f836(a102,x34961)))
% 190.77/190.67 [3508]P1(f836(f836(f225(a899),f2(a899)),f836(a102,x35081)))
% 190.77/190.67 [3735]E(f85(x37351,x37351,f232(f906(x37351,a895)),f25(x37351)),f25(x37351))
% 190.77/190.67 [3792]E(f836(f836(f23(a89),f836(a3,f836(a102,f836(a20,x37921)))),f72(a89)),x37921)
% 190.77/190.67 [3862]P1(f836(f836(f224(a1),f836(f73(a1),f836(f90(a1),x38621))),f2(a1)))
% 190.77/190.67 [4005]P1(f836(f836(f225(a1),f836(f73(a1),f836(f90(a1),f836(a102,x40051)))),f2(a1)))
% 190.77/190.67 [4586]~E(f232(f906(x45861,a895)),f178(f906(x45861,a895)))
% 190.77/190.67 [4609]~P1(f836(f836(f225(a899),x46091),f2(a899)))
% 190.77/190.67 [4621]~P1(f836(f836(f225(a1),f836(f90(a1),x46211)),f2(a1)))
% 190.77/190.67 [3294]E(f110(x32941,f109(f901(x32941))),f109(x32941))
% 190.77/190.67 [3309]E(f169(x33091,f103(f900(x33091))),f103(f900(x33091)))
% 190.77/190.67 [3312]E(f836(f836(f75(a1),a77),x33121),a77)
% 190.77/190.67 [3313]E(f836(f836(f74(a1),a77),x33131),x33131)
% 190.77/190.67 [3316]E(f836(a95,f836(f90(a1),x33161)),x33161)
% 190.77/190.67 [3317]E(f836(f836(f23(a1),x33171),a77),x33171)
% 190.77/190.67 [3318]E(f836(f836(f74(a1),x33181),a77),x33181)
% 190.77/190.67 [3320]E(f836(f836(f23(a899),x33201),x33201),f2(a899))
% 190.77/190.67 [3324]E(f836(f30(a899),f836(f272(a899),x33241)),x33241)
% 190.77/190.67 [3325]E(f836(f73(a1),f836(f73(a1),x33251)),x33251)
% 190.77/190.67 [3336]E(f836(f836(f74(a899),f2(a899)),x33361),x33361)
% 190.77/190.67 [3337]E(f836(f836(f74(a1),f2(a1)),x33371),x33371)
% 190.77/190.67 [3338]E(f836(f836(f75(a899),f72(a899)),x33381),x33381)
% 190.77/190.67 [3339]E(f836(f836(f75(a1),f72(a1)),x33391),x33391)
% 190.77/190.67 [3340]E(f836(f836(f223(a899),f2(a899)),x33401),x33401)
% 190.77/190.67 [3346]E(f836(f836(f23(a899),f2(a899)),x33461),f2(a899))
% 190.77/190.67 [3347]E(f836(f836(f75(a899),f2(a899)),x33471),f2(a899))
% 190.77/190.67 [3348]E(f836(f836(f228(a899),f2(a899)),x33481),f2(a899))
% 190.77/190.67 [3349]E(f836(f836(f31(a1),f2(a1)),x33491),f2(a1))
% 190.77/190.67 [3359]E(f118(x33591,f836(f73(a1),x33591)),f122(a1,x33591))
% 190.77/190.67 [3364]E(f836(f292(a899,f2(a899)),x33641),f836(f272(a899),x33641))
% 190.77/190.67 [3365]E(f836(f836(f75(a1),a87),x33651),f836(f73(a1),x33651))
% 190.77/190.67 [3373]E(f836(a95,f836(f94(a1),x33731)),f836(f94(a899),x33731))
% 190.77/190.67 [3374]E(f836(a20,f836(f94(a89),x33741)),f836(f94(a899),x33741))
% 190.77/190.67 [3375]E(f836(f30(a899),f836(f291(a899),x33751)),f836(a102,x33751))
% 190.77/190.67 [3384]E(f836(f836(f74(a899),f72(a899)),x33841),f836(a102,x33841))
% 190.77/190.67 [3388]E(f836(f93(a1),f836(f90(a1),x33881)),f836(f90(a1),x33881))
% 190.77/190.67 [3389]E(f836(f70(a1),f836(f90(a1),x33891)),f836(f90(a1),x33891))
% 190.77/190.67 [3393]E(f836(f30(x33931),f178(f906(x33931,a895))),f2(a899))
% 190.77/190.67 [3395]E(f836(f836(f31(a899),x33951),f836(a102,f2(a899))),x33951)
% 190.77/190.67 [3404]E(f41(a899,x34041,f836(a102,f2(a899))),f2(a899))
% 190.77/190.67 [3405]E(f41(a1,x34051,f836(f94(a1),a87)),f2(a1))
% 190.77/190.67 [3419]E(f836(f836(f31(a1),x34191),f836(f94(a1),a87)),f836(f73(a1),x34191))
% 190.77/190.67 [3423]E(f129(a899,f836(f292(a899,x34231),f2(a899))),f103(a899))
% 190.77/190.67 [3424]E(f836(f836(f74(a1),x34241),f72(a1)),f836(f836(f23(a1),x34241),a87))
% 190.77/190.67 [3425]E(f836(f836(f23(a1),x34251),f72(a1)),f836(f836(f74(a1),x34251),a87))
% 190.77/190.67 [3429]P1(f836(f836(f224(a899),x34291),x34291))
% 190.77/190.67 [3430]P1(f836(f836(f224(a1),x34301),x34301))
% 190.77/190.67 [3431]P1(f836(f836(f277(a899),x34311),x34311))
% 190.77/190.67 [3436]E(f836(f73(a1),f836(f94(a1),x34361)),f836(f94(a1),f836(f73(a1),x34361)))
% 190.77/190.67 [3437]P1(f836(f29(a899),f836(f272(a899),x34371)))
% 190.77/190.67 [3438]P1(f836(f29(a899),f836(f291(a899),x34381)))
% 190.77/190.67 [3445]E(f151(x34451,f232(f906(x34451,a895))),f232(f906(f900(x34451),a895)))
% 190.77/190.67 [3450]P1(f836(f836(f224(a899),f2(a899)),x34501))
% 190.77/190.67 [3461]E(f836(f836(f74(a899),f101(x34611)),f836(a102,f2(a899))),f101(f836(a102,x34611)))
% 190.77/190.67 [3462]E(f836(f252(x34621),f836(f16(a895,x34621),a229)),f178(f906(x34621,a895)))
% 190.77/190.67 [3463]E(f836(f252(x34631),f836(f16(a895,x34631),a177)),f232(f906(x34631,a895)))
% 190.77/190.67 [3466]E(f836(f836(f299(a899),x34661),f836(f272(a899),x34661)),f836(f272(a899),f836(a102,x34661)))
% 190.77/190.67 [3479]E(f836(f836(f74(a1),f72(a1)),f836(f90(a1),x34791)),f836(f90(a1),f836(a102,x34791)))
% 190.77/190.67 [3481]E(f836(f836(f141(f900(x34811)),f103(x34811)),f103(f900(x34811))),f50(x34811,f103(x34811)))
% 190.77/190.67 [3499]E(f178(f906(f905(x34991,x34991),a895)),f253(x34991,f178(f906(x34991,a895))))
% 190.77/190.67 [3500]E(f836(f298(x35001),f232(f906(x35001,a895))),f232(f906(f906(x35001,a895),a895)))
% 190.77/190.67 [3501]E(f836(f73(f906(x35011,a895)),f178(f906(x35011,a895))),f232(f906(x35011,a895)))
% 190.77/190.67 [3502]E(f836(f73(f906(x35021,a895)),f232(f906(x35021,a895))),f178(f906(x35021,a895)))
% 190.77/190.67 [3504]P1(f836(f29(x35041),f178(f906(x35041,a895))))
% 190.77/190.67 [3506]E(f836(f292(a899,x35061),f836(a102,x35061)),f836(f836(f299(a899),x35061),f178(f906(a899,a895))))
% 190.77/190.67 [3507]E(f79(f905(a899,a899),f44(x35071,f2(a899))),f836(f836(f242(a899,a899),f2(a899)),x35071))
% 190.77/190.67 [3520]E(f836(f836(f299(a899),f836(a102,x35201)),f836(f291(a899),x35201)),f836(f291(a899),f836(a102,x35201)))
% 190.77/190.67 [3525]P36(x35251,f178(f906(f905(x35251,x35251),a895)))
% 190.77/190.67 [3526]P38(x35261,f178(f906(f905(x35261,x35261),a895)))
% 190.77/190.67 [3529]P1(f836(f836(f224(a1),f2(a1)),f836(f90(a1),x35291)))
% 190.77/190.67 [3536]E(f836(f836(f74(a899),f836(f179(a899),x35361)),f836(a102,f2(a899))),f836(f179(a899),f836(a102,x35361)))
% 190.77/190.67 [3639]P39(f836(f300(a899,a1,f90(a1)),x36391))
% 190.77/190.67 [3678]P52(x36781,f178(f906(x36781,a895)),f178(f906(f905(x36781,x36781),a895)))
% 190.77/190.67 [3696]E(f836(f836(f242(a1,a1),f836(f94(a1),a87)),f836(f836(f23(a1),x36961),f72(a1))),f46(f836(f94(a1),a87),x36961))
% 190.77/190.67 [3748]P59(x37481,f836(f16(f906(x37481,a895),x37481),f836(f16(a895,x37481),a229)))
% 190.77/190.67 [3760]E(f280(a899,f277(a899),x37601,x37601),f836(f836(f299(a899),x37601),f178(f906(a899,a895))))
% 190.77/190.67 [3949]P1(f836(f836(f318(f906(f905(a899,a899),a895)),f317(x39491)),a88))
% 190.77/190.67 [3974]P1(f836(f836(f318(f906(f905(a899,a899),a895)),f836(a97,x39741)),a88))
% 190.77/190.67 [4103]P24(x41031,f906(x41031,a895),f836(f836(f7(x41031,f906(x41031,a895),f906(x41031,a895)),f299(x41031)),f178(f906(x41031,a895))),f232(f906(x41031,a895)))
% 190.77/190.67 [4583]~E(f836(f836(f74(a1),x45831),x45831),a87)
% 190.77/190.67 [4596]~E(f836(a3,f836(a102,f836(a20,x45961))),f2(a89))
% 190.77/190.67 [4602]~P1(f836(a183,f836(f90(a1),x46021)))
% 190.77/190.67 [4605]~P1(f836(f836(f225(a899),x46051),x46051))
% 190.77/190.67 [4613]~P1(f836(f836(f224(a899),f836(a102,x46131)),x46131))
% 190.77/190.67 [3453]E(f836(a95,f836(f73(a1),f836(f90(a1),x34531))),f2(a899))
% 190.77/190.67 [3456]E(f836(f836(f74(a1),f836(f73(a1),x34561)),x34561),f2(a1))
% 190.77/190.67 [3460]E(f836(f30(a1),f836(f292(a1,f2(a1)),x34601)),f836(a95,x34601))
% 190.77/190.67 [3471]E(f836(f836(f234(a899),f836(a102,f2(a899))),x34711),f836(a102,f2(a899)))
% 190.77/190.67 [3566]E(f836(f271(x35661),f178(f906(f905(x35661,x35661),a895))),f178(f906(x35661,a895)))
% 190.77/190.67 [3574]E(f33(f906(x35741,a895),f178(f906(f906(x35741,a895),a895))),f232(f906(x35741,a895)))
% 190.77/190.67 [3575]E(f33(f906(x35751,a895),f232(f906(f906(x35751,a895),a895))),f178(f906(x35751,a895)))
% 190.77/190.67 [3576]E(f32(f906(x35761,a895),f178(f906(f906(x35761,a895),a895))),f178(f906(x35761,a895)))
% 190.77/190.67 [3577]E(f32(f906(x35771,a895),f232(f906(f906(x35771,a895),a895))),f232(f906(x35771,a895)))
% 190.77/190.67 [3581]P1(f836(f836(f277(a899),f836(a102,f2(a899))),x35811))
% 190.77/190.67 [3622]E(f836(f836(f299(f900(x36221)),f103(x36221)),f178(f906(f900(x36221),a895))),f151(x36221,f178(f906(x36221,a895))))
% 190.77/190.67 [3623]E(f836(f836(f299(f900(x36231)),f103(x36231)),f178(f906(f900(x36231),a895))),f152(x36231,f103(f906(x36231,a895))))
% 190.77/190.67 [3661]E(f836(f836(f74(a899),f4(x36611)),f836(a102,f2(a899))),f4(f836(a3,f836(a102,f836(a20,x36611)))))
% 190.77/190.67 [3687]E(f836(f30(a1),f836(f300(a899,a1,f90(a1)),x36871)),f836(f30(a899),x36871))
% 190.77/190.67 [3690]P1(f836(f836(f224(a899),x36901),f836(f836(f75(a899),x36901),x36901)))
% 190.77/190.67 [3726]E(f836(f300(a1,a899,a95),f293(a1,f2(a1),f836(f90(a1),x37261))),f836(f291(a899),x37261))
% 190.77/190.67 [3743]E(f836(f836(f31(a899),f836(a102,f2(a899))),f836(f94(a899),x37431)),f836(a95,f836(f836(f31(a1),f72(a1)),f836(f94(a1),x37431))))
% 190.77/190.67 [3745]E(f836(f162(a899),f129(a899,f836(f292(a899,f2(a899)),f836(a102,x37451)))),f836(f291(a899),x37451))
% 190.77/190.67 [3746]E(f836(f836(f74(a899),f836(f179(a89),x37461)),f836(a102,f2(a899))),f836(f179(a89),f836(a3,f836(a102,f836(a20,x37461)))))
% 190.77/190.67 [3766]P38(x37661,f297(x37661,f178(f906(f905(x37661,x37661),a895))))
% 190.77/190.67 [3767]P51(x37671,f297(x37671,f178(f906(f905(x37671,x37671),a895))))
% 190.77/190.67 [3768]E(f836(f300(a1,a899,a95),f836(f300(a899,a1,f90(a1)),x37681)),x37681)
% 190.77/190.67 [3798]E(f836(f836(f299(a899),f2(a899)),f836(f300(a899,a899,a102),f836(f272(a899),x37981))),f836(f272(a899),f836(a102,x37981)))
% 190.77/190.67 [3804]P54(x38041,x38041,f297(x38041,f178(f906(f905(x38041,x38041),a895))))
% 190.77/190.67 [3810]P1(f836(a183,f836(f73(a1),f836(f90(a1),f836(a102,x38101)))))
% 190.77/190.67 [3820]E(f836(f836(f23(f906(a899,a895)),f836(f273(a899),x38201)),f836(f836(f299(a899),x38201),f178(f906(a899,a895)))),f836(f273(a899),f836(a102,x38201)))
% 190.77/190.67 [3837]E(f836(f836(f74(a1),f836(f836(f23(a1),a77),x38371)),f836(f836(f23(a1),a77),x38371)),f836(f836(f23(a1),a77),f836(f836(f74(a1),x38371),x38371)))
% 190.77/190.67 [3851]E(f836(f836(f299(f906(x38511,a895)),f178(f906(x38511,a895))),f178(f906(f906(x38511,a895),a895))),f836(f298(x38511),f178(f906(x38511,a895))))
% 190.77/190.67 [3879]E(f836(f836(f23(f906(a899,a895)),f836(f294(a899),x38791)),f836(f836(f299(a899),f836(a102,x38791)),f178(f906(a899,a895)))),f836(f294(a899),f836(a102,x38791)))
% 190.77/190.67 [3986]E(f836(f94(a899),f836(f836(f74(a1),x39861),x39861)),f836(f836(f80(a899,a899),f836(f94(a899),x39861)),f836(f836(f18(a899,a899,a899),f74(a899)),f5(a899))))
% 190.77/190.67 [4357]P14(x43571,f906(x43571,a895),f836(f836(f8(f906(x43571,a895),f906(f906(x43571,a895),f906(x43571,a895)),x43571),f836(f7(f906(x43571,a895),f906(x43571,a895),f906(x43571,a895)),f23(f906(x43571,a895)))),f836(f836(f7(x43571,f906(x43571,a895),f906(x43571,a895)),f299(x43571)),f178(f906(x43571,a895)))))
% 190.77/190.67 [4444]E(f836(f252(f905(a1,a1)),f836(f247(a1,a1,a895),f836(f836(f8(f906(a1,a895),f906(a1,a895),a1),f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a315),f836(f224(a1),x44441)))),f225(a1)))),f98(x44441))
% 190.77/190.67 [4477]E(f836(f252(f905(a1,a1)),f836(f247(a1,a1,a895),f836(f836(f18(a1,f906(a1,a895),f906(a1,a895)),f836(f836(f8(f906(a895,a895),f906(f906(a1,a895),f906(a1,a895)),a1),f8(a895,a895,a1)),f836(f836(f8(a895,f906(a895,a895),a1),a315),f836(f224(a1),x44771)))),f225(a1)))),f96(x44771))
% 190.77/190.67 [4530]E(f836(f252(f905(f906(x45301,a895),f906(x45301,a895))),f836(f247(f906(x45301,a895),f906(x45301,a895),a895),f836(f836(f7(f906(x45301,a895),f906(f906(x45301,a895),a895),f906(f906(x45301,a895),a895)),f836(f836(f8(f906(f906(x45301,a895),f906(a895,a895)),f906(f906(f906(x45301,a895),a895),f906(f906(x45301,a895),a895)),f906(x45301,a895)),f18(f906(x45301,a895),a895,a895)),f836(f836(f8(f906(f906(x45301,a895),a895),f906(f906(x45301,a895),f906(a895,a895)),f906(x45301,a895)),f836(f8(a895,f906(a895,a895),f906(x45301,a895)),a315)),f225(f906(x45301,a895))))),f29(x45301)))),f304(x45301))
% 190.77/190.67 [4618]~P1(f836(f29(f900(x46181)),f232(f906(f900(x46181),a895))))
% 190.77/190.67 [4630]~P1(f836(f836(f224(a1),f2(a1)),f836(f73(a1),f836(f90(a1),f836(a102,x46301)))))
% 190.77/190.67 [3601]E(f836(f836(f23(a1),f836(f836(f74(a1),x36011),a87)),a87),x36011)
% 190.77/190.67 [3615]E(f836(f162(a899),f129(a899,f836(f292(a899,f2(a899)),x36151))),f836(f272(a899),x36151))
% 190.77/190.67 [3858]E(f836(f836(f74(a1),f836(f836(f74(a1),f72(a1)),x38581)),x38581),f836(f836(f23(a1),f836(f836(f74(a1),x38581),x38581)),a87))
% 190.77/190.67 [3906]E(f836(f276(x39061,x39061),f297(x39061,f178(f906(f905(x39061,x39061),a895)))),f297(x39061,f178(f906(f905(x39061,x39061),a895))))
% 190.77/190.67 [3952]P1(f836(f836(f224(a899),x39521),f836(f836(f75(a899),x39521),f836(f836(f75(a899),x39521),x39521))))
% 190.77/190.67 [4220]P1(f836(f29(a899),f836(f252(a899),f836(f836(f7(a899,a899,a895),f224(a899)),x42201))))
% 190.77/190.67 [4221]P1(f836(f29(a899),f836(f252(a899),f836(f836(f7(a899,a899,a895),f225(a899)),x42211))))
% 190.77/190.67 [4493]E(f836(f252(f905(x44931,x44931)),f836(f836(f8(f906(x44931,a895),a895,f905(x44931,x44931)),f81(x44931)),f836(f836(f7(f905(x44931,x44931),f906(x44931,f905(x44931,x44931)),f906(x44931,a895)),f836(f836(f8(f906(f905(x44931,x44931),a895),f906(f906(x44931,f905(x44931,x44931)),f906(x44931,a895)),f905(x44931,x44931)),f8(f905(x44931,x44931),a895,x44931)),a314)),f836(f836(f18(x44931,x44931,f905(x44931,x44931)),f242(x44931,x44931)),f5(x44931))))),f297(x44931,f178(f906(f905(x44931,x44931),a895))))
% 190.77/190.67 [4620]~E(f836(f836(f23(a1),f836(f836(f74(a1),x46201),x46201)),a87),a77)
% 190.77/190.67 [4622]~E(f836(f836(f74(a1),f836(f836(f74(a1),f72(a1)),x46221)),x46221),f2(a1))
% 190.77/190.67 [3996]E(f836(f836(f74(a1),f836(f836(f23(a1),a87),x39961)),f836(f836(f23(a1),a87),x39961)),f836(f836(f23(a1),a87),f836(f836(f23(a1),f836(f836(f74(a1),x39961),x39961)),a87)))
% 190.77/190.67 [4111]E(f836(f836(f23(a1),f836(f836(f74(a1),f836(f836(f23(a1),a87),x41111)),f836(f836(f23(a1),a87),x41111))),a87),f836(f836(f23(a1),a87),f836(f836(f74(a1),x41111),x41111)))
% 190.77/190.67 [4143]E(f836(f836(f23(a1),f836(f836(f74(a1),f836(f836(f74(a1),x41431),a87)),f836(f836(f74(a1),x41431),a87))),a87),f836(f836(f74(a1),f836(f836(f74(a1),x41431),x41431)),a87))
% 190.77/190.67 [4181]E(f836(f836(f23(a1),f836(f836(f74(a1),f836(f836(f23(a1),a87),x41811)),f836(f836(f23(a1),a87),x41811))),a87),f836(f836(f23(a1),a77),f836(f836(f23(a1),f836(f836(f74(a1),x41811),x41811)),a87)))
% 190.77/190.67 [4278]E(f836(a83,f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),f836(f836(f242(a899,a899),x42781),f2(a899))),f178(f906(f905(a899,a899),a895))))),f836(f90(a1),x42781))
% 190.77/190.67 [4288]E(f836(a83,f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),f836(f836(f242(a899,a899),f321(x42881)),f374(x42881))),f178(f906(f905(a899,a899),a895))))),x42881)
% 190.77/190.67 [4321]E(f836(f252(a1),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a315),f836(f224(a1),f2(a1)))),x43211)),f836(f300(a899,a1,f90(a1)),f836(f252(a899),f836(f836(f8(a1,a895,a899),x43211),f90(a1)))))
% 190.77/190.67 [4365]P39(f836(f252(a1),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a315),f836(f224(a1),f2(a1)))),x43651)))
% 190.77/190.67 [4385]P1(f836(f836(f318(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f836(f836(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),x43851),f178(f906(f905(a899,a899),a895)))),a66))
% 190.77/190.67 [4390]E(f836(f300(a1,a899,a95),f836(f252(a1),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a315),f836(f224(a1),f2(a1)))),f836(f836(f8(a899,a895,a1),x43901),a95)))),f836(f252(a899),x43901))
% 190.77/190.67 [4545]E(f302(a899,f836(f836(f35(f905(a899,a899),f906(a899,a895)),f836(a97,x45451)),f836(f247(a899,a899,f906(a899,a895)),f836(f836(f7(a899,f906(a899,a895),f906(a899,f906(a899,a895))),f836(f836(f8(f906(a899,f906(f906(a899,a895),f906(a899,a895))),f906(f906(a899,a895),f906(a899,f906(a899,a895))),a899),f7(a899,f906(a899,a895),f906(a899,a895))),f836(f836(f8(f906(a899,a899),f906(a899,f906(f906(a899,a895),f906(a899,a895))),a899),f836(f8(a899,f906(f906(a899,a895),f906(a899,a895)),a899),f299(a899))),f23(a899)))),f178(f906(a899,a895)))))),f836(a95,x45451))
% 190.77/190.67 [4041]E(f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),x40411),x40411)),a87)),a87),f836(f836(f74(a1),x40411),x40411))
% 190.77/190.67 [4091]E(f836(f836(f23(a1),f836(f836(f23(a1),f836(f836(f74(a1),x40911),x40911)),a87)),a87),f836(f836(f74(a1),f836(f836(f23(a1),x40911),a87)),f836(f836(f23(a1),x40911),a87)))
% 190.77/190.67 [4294]E(f836(f836(f23(a1),f836(f836(f74(a1),f836(f836(f74(a1),f836(f73(a1),x42941)),a87)),f836(f836(f74(a1),f836(f73(a1),x42941)),a87))),a87),f836(f73(a1),f836(f836(f23(a1),f836(f836(f74(a1),x42941),x42941)),a87)))
% 190.77/190.67 [4338]E(f836(f836(f74(a899),x43381),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f836(a102,f836(a102,x43381)))
% 190.77/190.67 [4339]E(f836(f836(f75(a899),x43391),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f836(f836(f74(a899),x43391),x43391))
% 190.77/190.67 [4340]E(f836(f836(f31(a899),f836(f836(f74(a899),x43401),x43401)),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x43401)
% 190.77/190.67 [4418]E(f41(a899,f836(a102,f836(a102,x44181)),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f41(a899,x44181,f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))))
% 190.77/190.67 [4559]E(f836(a83,f836(f836(f35(f905(a899,a899),f906(f905(a899,a899),a895)),f836(a97,x45591)),f836(f247(a899,a899,f906(f905(a899,a899),a895)),f836(f836(f8(f906(a899,f906(f905(a899,a899),a895)),f906(a899,f906(f905(a899,a899),a895)),a899),f836(f8(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895),a899),f275(f905(a899,a899),f905(a899,a899),a99))),f836(f836(f7(a899,f906(f905(a899,a899),a895),f906(a899,f906(f905(a899,a899),a895))),f836(f836(f8(f906(a899,f906(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f906(f906(f905(a899,a899),a895),f906(a899,f906(f905(a899,a899),a895))),a899),f7(a899,f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f836(f836(f8(f906(a899,f905(a899,a899)),f906(a899,f906(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),a899),f836(f8(f905(a899,a899),f906(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),a899),f299(f905(a899,a899)))),f836(f7(a899,a899,f905(a899,a899)),f242(a899,a899))))),f178(f906(f905(a899,a899),a895))))))),f836(f73(a1),x45591))
% 190.77/190.67 [4413]E(f836(f836(f74(a899),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x44131),f836(a102,f836(a102,x44131)))
% 190.77/190.67 [4414]E(f836(f836(f75(a899),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x44141),f836(f836(f74(a899),x44141),x44141))
% 190.77/190.67 [4450]E(f836(f836(f31(a899),f836(a102,f836(a102,x44501))),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f836(a102,f836(f836(f31(a899),x44501),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))))
% 190.77/190.67 [4500]E(f836(f836(f74(a899),f836(f94(a899),f836(f836(f23(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))),a87))),x45001),f836(a102,f836(a102,f836(a102,x45001))))
% 190.77/190.67 [4566]E(f836(f247(a1,a1,f905(a1,a1)),f836(f836(f18(a1,f906(a1,f905(a1,a1)),f906(a1,f905(a1,a1))),f836(f836(f8(f906(a1,f906(f905(a1,a1),f905(a1,a1))),f906(f906(a1,f905(a1,a1)),f906(a1,f905(a1,a1))),a1),f18(a1,f905(a1,a1),f905(a1,a1))),f836(f836(f8(f906(a1,f905(a1,a1)),f906(a1,f906(f905(a1,a1),f905(a1,a1))),a1),f836(f18(a1,f905(a1,a1),f906(f905(a1,a1),f905(a1,a1))),f836(f836(f8(a895,f906(f905(a1,a1),f906(f905(a1,a1),f905(a1,a1))),a1),f86(f905(a1,a1))),f836(f836(f8(a1,a895,a1),f836(f224(a1),f2(a1))),f836(f836(f7(a1,a1,a1),f23(a1)),x45661))))),f836(f836(f7(a1,f906(a1,a1),f906(a1,f905(a1,a1))),f836(f836(f8(f906(a1,f905(a1,a1)),f906(f906(a1,a1),f906(a1,f905(a1,a1))),a1),f8(a1,f905(a1,a1),a1)),f836(f836(f8(a1,f906(a1,f905(a1,a1)),a1),f242(a1,a1)),f836(f836(f7(a1,a1,a1),f836(f836(f8(a1,f906(a1,a1),a1),f74(a1)),f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))))),f72(a1))))),f836(f836(f7(a1,a1,a1),f23(a1)),x45661))))),f836(f836(f8(a1,f906(a1,f905(a1,a1)),a1),f242(a1,a1)),f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))))),f39(x45661))
% 190.77/190.67 [3278]P106(f904(x32781,x32782))
% 190.77/190.67 [3279]P106(f905(x32791,x32792))
% 190.77/190.67 [3280]P106(f903(x32801,x32802))
% 190.77/190.67 [3298]P13(a1,f168(x32981,x32982))
% 190.77/190.67 [3299]P36(x32991,f143(x32991,x32992))
% 190.77/190.67 [3300]P37(x33001,f253(x33001,x33002))
% 190.77/190.67 [3301]P37(x33011,f297(x33011,x33012))
% 190.77/190.67 [3302]P38(x33021,f253(x33021,x33022))
% 190.77/190.67 [3303]P51(x33031,f253(x33031,x33032))
% 190.77/190.67 [3366]P30(x33661,x33662,f103(x33661))
% 190.77/190.67 [3399]P52(x33991,x33992,f253(x33991,x33992))
% 190.77/190.67 [3400]P54(x34001,x34001,f253(x34001,x34002))
% 190.77/190.67 [3664]P24(x36641,x36641,f5(x36641),x36642)
% 190.77/190.67 [3665]P24(x36651,x36651,f25(x36651),x36652)
% 190.77/190.67 [3674]P31(x36741,x36742,f103(x36741),f103(x36741))
% 190.77/190.67 [3681]P24(f900(x36811),f900(x36811),f158(x36811),x36812)
% 190.77/190.67 [4081]P25(x40811,x40811,f25(x40811),x40812,x40812)
% 190.77/190.67 [4591]~P32(x45911,x45912,f103(x45911))
% 190.77/190.67 [4592]~P34(x45921,x45922,f103(x45921))
% 190.77/190.67 [3264]E(f836(f5(x32641),x32642),x32642)
% 190.77/190.67 [3265]E(f836(f252(x32651),x32652),x32652)
% 190.77/190.67 [3267]E(f836(f25(x32671),x32672),x32672)
% 190.77/190.67 [3277]E(f836(f181(x32771),x32772),f105(x32771))
% 190.77/190.67 [3296]E(f79(x32961,f836(a314,x32962)),x32962)
% 190.77/190.67 [3297]E(f84(x32971,f836(a314,x32972)),x32972)
% 190.77/190.67 [3319]E(f836(f115(x33191,x33192),f109(x33191)),f2(a899))
% 190.77/190.67 [3322]E(f836(f126(x33221,x33222),f103(x33221)),f103(x33221))
% 190.77/190.67 [3342]E(f297(x33421,f297(x33421,x33422)),f297(x33421,x33422))
% 190.77/190.67 [3343]E(f142(x33431,f142(x33431,x33432)),f142(x33431,x33432))
% 190.77/190.67 [3361]E(f836(f836(f124(x33611),x33612),f103(x33611)),x33612)
% 190.77/190.67 [3367]E(f163(x33671,x33672,f103(x33671)),x33672)
% 190.77/190.67 [3368]E(f163(x33681,f103(x33681),x33682),x33682)
% 190.77/190.67 [3369]E(f106(x33691,f109(x33691),x33692),x33692)
% 190.77/190.67 [3370]E(f159(x33701,f2(a899),x33702),f103(x33701))
% 190.77/190.67 [3376]E(f836(f836(f165(x33761),x33762),f103(x33761)),f103(x33761))
% 190.77/190.67 [3377]E(f836(f836(f128(x33771),x33772),f103(x33771)),f103(x33771))
% 190.77/190.67 [3379]E(f145(x33791,x33792,f103(x33791)),f2(a899))
% 190.77/190.67 [3381]E(f160(x33811,x33812,f103(x33811)),f103(x33811))
% 190.77/190.67 [3382]E(f167(x33821,x33822,f103(x33821)),f103(x33821))
% 190.77/190.67 [3383]E(f166(x33831,f103(x33831),x33832),f103(x33831))
% 190.77/190.67 [3387]E(f836(f162(x33871),f142(x33871,x33872)),f836(f162(x33871),x33872))
% 190.77/190.67 [3390]E(f836(f274(x33901,x33901),f253(x33901,x33902)),x33902)
% 190.77/190.67 [3391]E(f836(f254(x33911,x33911),f253(x33911,x33912)),x33912)
% 190.77/190.67 [3398]E(f836(f276(x33981,x33981),f253(x33981,x33982)),f253(x33981,x33982))
% 190.77/190.67 [3411]E(f297(f900(x34111),f147(x34111,x34112)),f148(x34111,f297(x34111,x34112)))
% 190.77/190.67 [3413]P1(f836(f127(a1),f168(x34131,x34132)))
% 190.77/190.67 [3421]E(f836(f274(x34211,x34211),f297(x34211,x34212)),f232(f906(x34211,a895)))
% 190.77/190.67 [3422]E(f836(f254(x34221,x34221),f297(x34221,x34222)),f232(f906(x34221,a895)))
% 190.77/190.67 [3426]P1(f836(f127(x34261),f142(x34261,x34262)))
% 190.77/190.67 [3428]P1(f836(f150(x34281,x34282),f103(x34281)))
% 190.77/190.67 [3434]E(f836(f162(a1),f168(x34341,x34342)),f293(a1,x34341,x34342))
% 190.77/190.67 [3448]P55(x34481,f178(f906(x34481,a895)),x34482)
% 190.77/190.67 [3454]E(f836(f246(a1,a1),f42(x34541,x34542)),f41(a1,x34541,x34542))
% 190.77/190.67 [3455]E(f836(f292(a899,x34551),f836(a102,x34552)),f293(a899,x34551,x34552))
% 190.77/190.67 [3470]E(f836(f836(f141(x34701),x34702),f103(x34701)),f130(x34701,x34702,f103(x34701)))
% 190.77/190.67 [3483]E(f293(a899,f836(a102,x34831),x34832),f295(a899,x34831,x34832))
% 190.77/190.67 [3484]P52(x34841,f232(f906(x34841,a895)),f297(x34841,x34842))
% 190.77/190.67 [3547]E(f836(f836(f23(a899),x35471),f836(a102,x35472)),f836(f30(a899),f296(a899,x35472,x35471)))
% 190.77/190.67 [3602]E(f156(x36021,x36022,f103(x36021)),f836(f836(f242(f900(x36021),f900(x36021)),f103(x36021)),f103(x36021)))
% 190.77/190.67 [3620]E(f836(f247(x36201,x36202,f905(x36201,x36202)),f242(x36201,x36202)),f25(f905(x36201,x36202)))
% 190.77/190.67 [3624]P1(f836(f836(f318(f900(x36241)),f103(x36241)),f151(x36241,x36242)))
% 190.77/190.67 [3625]E(f836(f179(f900(x36251)),f104(x36251,x36252)),f836(f836(f23(a899),f836(f179(f900(x36251)),x36252)),f72(a899)))
% 190.77/190.67 [3633]P1(f836(f29(a899),f296(a899,x36331,x36332)))
% 190.77/190.67 [3634]P1(f836(f29(a899),f295(a899,x36341,x36342)))
% 190.77/190.67 [3635]P1(f836(f29(a899),f293(a899,x36351,x36352)))
% 190.77/190.67 [3636]P1(f836(f29(a1),f296(a1,x36361,x36362)))
% 190.77/190.67 [3637]P1(f836(f29(a1),f295(a1,x36371,x36372)))
% 190.77/190.67 [3638]P1(f836(f29(a1),f293(a1,x36381,x36382)))
% 190.77/190.67 [3742]E(f836(f300(a899,a899,a102),f293(a899,x37421,x37422)),f293(a899,f836(a102,x37421),f836(a102,x37422)))
% 190.77/190.67 [3762]E(f836(f836(f279(x37621,x37621,x37621),f297(x37621,x37622)),f297(x37621,x37622)),f297(x37621,x37622))
% 190.77/190.67 [3796]E(f836(f836(f242(a1,a1),f836(f836(f31(a1),x37961),x37962)),f41(a1,x37961,x37962)),f42(x37961,x37962))
% 190.77/190.67 [3797]E(f836(f836(f242(a89,a89),f836(f836(f31(a89),x37971),x37972)),f41(a89,x37971,x37972)),f21(x37971,x37972))
% 190.77/190.67 [3824]E(f836(f836(f242(a899,a899),f836(f836(f31(a899),x38241),x38242)),f41(a899,x38241,x38242)),f79(f905(a899,a899),f44(x38241,x38242)))
% 190.77/190.67 [3875]P1(f836(f836(f225(a899),f836(f836(f23(a899),x38751),x38752)),f836(a102,x38751)))
% 190.77/190.67 [3923]P37(x39231,f836(f836(f279(x39231,x39231,x39231),x39232),f297(x39231,x39232)))
% 190.77/190.67 [3973]E(f836(f836(f74(a1),f836(f836(f75(a1),x39731),f836(f836(f31(a1),x39732),x39731))),f41(a1,x39732,x39731)),x39732)
% 190.77/190.67 [3977]E(f836(f836(f35(a899,f906(f905(f900(x39771),f900(x39771)),a895)),f232(f906(a899,a895))),f133(x39771,x39772)),f135(x39771,x39772))
% 190.77/190.67 [4197]P1(f836(f836(f318(f905(f900(x41971),f900(x41971))),f836(f836(f242(f900(x41971),f900(x41971)),f103(x41971)),f103(x41971))),f148(x41971,x41972)))
% 190.77/190.67 [4306]E(f243(x43061,x43061,x43061,a314,f243(x43061,x43061,x43061,x43062,a314)),x43062)
% 190.77/190.67 [4350]E(f248(x43501,x43501,x43502,x43502,f5(x43501),f5(x43502)),f25(f905(x43501,x43502)))
% 190.77/190.67 [4352]E(f248(x43521,x43521,x43522,x43522,f25(x43521),f25(x43522)),f25(f905(x43521,x43522)))
% 190.77/190.67 [3360]E(f836(f158(x33601),f836(f158(x33601),x33602)),x33602)
% 190.77/190.67 [3362]E(f836(f836(f128(x33621),f2(a899)),x33622),x33622)
% 190.77/190.67 [3378]E(f836(f836(f165(x33781),f2(a899)),x33782),f103(x33781))
% 190.77/190.67 [3385]E(f836(f836(f124(x33851),f103(x33851)),x33852),x33852)
% 190.77/190.67 [3394]E(f32(f906(x33941,a895),f836(f298(x33941),x33942)),x33942)
% 190.77/190.67 [3396]E(f836(f162(x33961),f836(f157(x33961),x33962)),f836(f162(x33961),x33962))
% 190.77/190.67 [3397]E(f836(f162(x33971),f836(f158(x33971),x33972)),f836(f162(x33971),x33972))
% 190.77/190.67 [3402]E(f836(f836(f23(a89),x34021),x34022),f836(f836(a24,x34021),x34022))
% 190.77/190.67 [3415]E(f836(f836(f74(a899),x34151),x34152),f836(f836(f74(a899),x34152),x34151))
% 190.77/190.67 [3416]E(f836(f836(f74(a1),x34161),x34162),f836(f836(f74(a1),x34162),x34161))
% 190.77/190.67 [3417]E(f836(f836(f75(a899),x34171),x34172),f836(f836(f75(a899),x34172),x34171))
% 190.77/190.67 [3418]E(f836(f836(f75(a1),x34181),x34182),f836(f836(f75(a1),x34182),x34181))
% 190.77/190.67 [3440]E(f836(f836(f173(x34401,x34401),f2(a899)),x34402),f25(x34401))
% 190.77/190.67 [3441]E(f836(f179(f900(x34411)),f836(f157(x34411),x34412)),f836(f179(f900(x34411)),x34412))
% 190.77/190.67 [3442]E(f836(f179(f900(x34421)),f836(f158(x34421),x34422)),f836(f179(f900(x34421)),x34422))
% 190.77/190.67 [3443]E(f166(x34431,x34432,f178(f906(a899,a895))),f103(x34431))
% 190.77/190.67 [3444]E(f836(f836(f144(x34441,x34441),f5(x34441)),x34442),x34442)
% 190.77/190.67 [3446]E(f836(f241(a1,a1),f42(x34461,x34462)),f836(f836(f31(a1),x34461),x34462))
% 190.77/190.67 [3464]E(f836(f179(f900(x34641)),f142(x34641,x34642)),f836(f30(x34641),f836(f162(x34641),x34642)))
% 190.77/190.67 [3465]E(f836(f271(x34651),f836(f276(x34651,x34651),x34652)),f836(f271(x34651),x34652))
% 190.77/190.67 [3469]P1(f836(f29(x34691),f836(f162(x34691),x34692)))
% 190.77/190.67 [3478]E(f836(f836(f74(a1),x34781),f836(f73(a1),x34782)),f836(f836(f23(a1),x34781),x34782))
% 190.77/190.67 [3485]E(f836(f300(x34851,x34851,f5(x34851)),x34852),x34852)
% 190.77/190.67 [3486]E(f836(f300(x34861,x34861,f25(x34861)),x34862),x34862)
% 190.77/190.67 [3487]E(f836(f301(x34871,x34871,f5(x34871)),x34872),x34872)
% 190.77/190.67 [3488]E(f836(f301(x34881,x34881,f25(x34881)),x34882),x34882)
% 190.77/190.67 [3489]P1(f836(f232(f906(x34891,a895)),x34892))
% 190.77/190.67 [3491]E(f836(f30(a899),f836(f292(a899,x34911),x34912)),f836(f836(f23(a899),x34912),x34911))
% 190.77/190.67 [3492]E(f836(f292(a899,f836(a102,x34921)),x34922),f296(a899,x34921,x34922))
% 190.77/190.67 [3505]E(f836(f836(f299(x35051),x35052),f178(f906(x35051,a895))),f836(f252(x35051),f836(a314,x35052)))
% 190.77/190.67 [3510]E(f297(x35101,f836(f276(x35101,x35101),x35102)),f836(f276(x35101,x35101),f297(x35101,x35102)))
% 190.77/190.67 [3515]E(f836(f836(f74(a899),f836(a102,x35151)),x35152),f836(f836(f74(a899),x35151),f836(a102,x35152)))
% 190.77/190.67 [3516]E(f836(f836(f23(a899),f836(a102,x35161)),f836(a102,x35162)),f836(f836(f23(a899),x35161),x35162))
% 190.77/190.67 [3523]E(f51(x35231,f2(a899),x35232),f836(f836(f141(f900(x35231)),f103(x35231)),f103(f900(x35231))))
% 190.77/190.67 [3524]E(f836(f30(a899),f295(a899,x35241,x35242)),f836(f836(f23(a899),x35242),x35241))
% 190.77/190.67 [3533]P36(x35331,f836(f836(f278(a899,x35331),a230),x35332))
% 190.77/190.67 [3535]P13(a899,f129(a899,f836(f292(a899,x35351),x35352)))
% 190.77/190.67 [3537]P1(f836(f29(a899),f836(f292(a899,x35371),x35372)))
% 190.77/190.67 [3538]P1(f836(f29(a1),f836(f292(a1,x35381),x35382)))
% 190.77/190.67 [3541]E(f836(f276(f900(x35411),f900(x35411)),f147(x35411,x35412)),f147(x35411,f836(f276(x35411,x35411),x35412)))
% 190.77/190.67 [3543]E(f836(f292(a1,x35431),f836(f836(f74(a1),x35432),f72(a1))),f293(a1,x35431,x35432))
% 190.77/190.67 [3546]E(f836(f836(f31(a1),f836(f73(a1),x35461)),f836(f73(a1),x35462)),f836(f836(f31(a1),x35461),x35462))
% 190.77/190.67 [3554]E(f836(f836(f173(f905(x35541,x35541),a895),f72(a899)),x35542),x35542)
% 190.77/190.67 [3556]E(f836(f836(f23(f906(x35561,a895)),x35562),f178(f906(x35561,a895))),x35562)
% 190.77/190.67 [3557]E(f836(f836(f91(f906(x35571,a895)),x35572),f178(f906(x35571,a895))),x35572)
% 190.77/190.67 [3558]E(f836(f836(f92(f906(x35581,a895)),x35582),f232(f906(x35581,a895))),x35582)
% 190.77/190.67 [3559]E(f836(f241(a899,a899),f79(f905(a899,a899),f44(x35591,x35592))),f836(f836(f31(a899),x35591),x35592))
% 190.77/190.67 [3565]E(f293(a1,f836(f836(f74(a1),x35651),f72(a1)),x35652),f295(a1,x35651,x35652))
% 190.77/190.67 [3570]E(f836(f246(a899,a899),f79(f905(a899,a899),f44(x35701,x35702))),f41(a899,x35701,x35702))
% 190.77/190.67 [3580]P1(f836(f836(f318(x35801),x35802),f232(f906(x35801,a895))))
% 190.77/190.67 [3585]E(f836(f836(f23(a899),f836(a102,x35851)),x35852),f836(f30(a899),f293(a899,x35852,x35851)))
% 190.77/190.67 [3611]E(f836(f836(f23(f906(x36111,a895)),x36112),f232(f906(x36111,a895))),f178(f906(x36111,a895)))
% 190.77/190.67 [3612]E(f836(f836(f91(f906(x36121,a895)),x36122),f232(f906(x36121,a895))),f232(f906(x36121,a895)))
% 190.77/190.67 [3613]E(f836(f836(f92(f906(x36131,a895)),x36132),f178(f906(x36131,a895))),f178(f906(x36131,a895)))
% 190.77/190.67 [3628]E(f41(a1,f836(f90(a1),x36281),f836(f90(a1),x36282)),f836(f90(a1),f41(a899,x36281,x36282)))
% 190.77/190.67 [3629]E(f41(a1,f836(f73(a1),x36291),f836(f73(a1),x36292)),f836(f73(a1),f41(a1,x36291,x36292)))
% 190.77/190.67 [3640]E(f836(f179(f900(x36401)),f836(f161(x36401),x36402)),f836(f836(f23(a899),f836(f179(f900(x36401)),x36402)),f72(a899)))
% 190.77/190.67 [3666]E(f836(f836(f31(a1),f41(a1,x36661,x36662)),x36662),f2(a1))
% 190.77/190.67 [3676]E(f836(a3,f41(a899,f836(a20,x36761),f836(a20,x36762))),f41(a89,x36761,x36762))
% 190.77/190.67 [3709]E(f836(a3,f836(f836(f23(a899),f836(a20,x37091)),f836(a20,x37092))),f836(f836(f23(a89),x37091),x37092))
% 190.77/190.67 [3710]E(f836(a3,f836(f836(f74(a899),f836(a20,x37101)),f836(a20,x37102))),f836(f836(f74(a89),x37101),x37102))
% 190.77/190.67 [3711]E(f836(a3,f836(f836(f75(a899),f836(a20,x37111)),f836(a20,x37112))),f836(f836(f75(a89),x37111),x37112))
% 190.77/190.67 [3712]E(f836(a3,f836(f836(f31(a899),f836(a20,x37121)),f836(a20,x37122))),f836(f836(f31(a89),x37121),x37122))
% 190.77/190.67 [3720]E(f836(f300(a899,a899,a102),f836(f292(a899,x37201),x37202)),f836(f292(a899,f836(a102,x37201)),f836(a102,x37202)))
% 190.77/190.67 [3747]P1(f836(f44(x37471,x37472),f79(f905(a899,a899),f44(x37471,x37472))))
% 190.77/190.67 [3771]E(f41(a899,f836(a102,f41(a899,x37711,x37712)),x37712),f41(a899,f836(a102,x37711),x37712))
% 190.77/190.67 [3783]E(f836(f836(f36(f906(x37831,a895),f906(x37831,a895)),x37832),f5(f906(x37831,a895))),f33(f906(x37831,a895),x37832))
% 190.77/190.67 [3784]E(f836(f836(f35(f906(x37841,a895),f906(x37841,a895)),x37842),f5(f906(x37841,a895))),f32(f906(x37841,a895),x37842))
% 190.77/190.67 [3785]E(f836(f300(f900(x37851),f906(x37851,a895),f162(x37851)),f836(f162(f900(x37851)),f50(x37851,x37852))),f836(f298(x37851),f836(f162(x37851),x37852)))
% 190.77/190.67 [3789]P1(f836(f836(f318(f906(x37891,a895)),x37892),f836(f298(x37891),x37892)))
% 190.77/190.67 [3795]E(f41(a1,f836(f73(a1),f41(a1,x37951,x37952)),x37952),f41(a1,f836(f73(a1),x37951),x37952))
% 190.77/190.67 [3806]P1(f836(f836(f224(f906(x38061,a895)),x38062),f232(f906(x38061,a895))))
% 190.77/190.67 [3808]E(f836(f836(f279(x38081,x38081,x38081),f297(x38081,x38082)),f297(x38081,f297(x38081,x38082))),f297(x38081,x38082))
% 190.77/190.67 [3809]E(f836(f836(f91(f906(x38091,a895)),f836(f254(x38091,x38091),x38092)),f836(f274(x38091,x38091),x38092)),f836(f271(x38091),x38092))
% 190.77/190.67 [3830]E(f303(x38301,x38302,f232(f906(x38301,a895)),f232(f906(x38302,a895))),f232(f906(f904(x38301,x38302),a895)))
% 190.77/190.67 [3880]P1(f836(f836(f224(a899),f41(a899,x38801,x38802)),x38801))
% 190.77/190.67 [3904]P1(f836(f836(f224(a1),f836(f73(a1),f836(f90(a1),x39041))),f836(f90(a1),x39042)))
% 190.77/190.67 [3928]P1(f836(f836(f318(f906(x39281,a895)),f178(f906(x39281,a895))),f836(f298(x39281),x39282)))
% 190.77/190.67 [3933]E(f297(x39331,f836(f836(f279(x39331,x39331,x39331),x39332),f297(x39331,x39332))),f297(x39331,x39332))
% 190.77/190.67 [3936]E(f836(f836(f279(x39361,x39361,x39361),f297(x39361,x39362)),x39362),f836(f836(f279(x39361,x39361,x39361),x39362),f297(x39361,x39362)))
% 190.77/190.67 [3938]E(f836(a95,f836(f836(f74(a1),f836(f836(f23(a1),x39381),x39382)),f72(a1))),f836(f30(a1),f293(a1,x39382,x39381)))
% 190.77/190.67 [3953]E(f836(f274(x39531,x39531),f836(f836(f279(x39531,x39531,x39531),x39532),f297(x39531,x39532))),f836(f274(x39531,x39531),x39532))
% 190.77/190.67 [3954]E(f836(f254(x39541,x39541),f836(f836(f279(x39541,x39541,x39541),x39542),f297(x39541,x39542))),f836(f254(x39541,x39541),x39542))
% 190.77/190.67 [3972]E(f836(f132(f900(x39721),f900(x39721),f124(x39721),f103(x39721)),f159(f900(x39721),x39722,f103(x39721))),f103(x39721))
% 190.77/190.67 [3981]P24(a899,a899,f836(f836(f7(a899,a899,a899),f74(a899)),x39811),x39812)
% 190.77/190.67 [3983]P13(a899,f836(f158(a899),f836(f836(f144(f900(x39831),a899),f179(f900(x39831))),f169(x39831,x39832))))
% 190.77/190.67 [4013]P51(x40131,f836(f836(f91(f906(f905(x40131,x40131),a895)),x40132),f836(f276(x40131,x40131),x40132)))
% 190.77/190.67 [4014]P51(x40141,f836(f836(f92(f906(f905(x40141,x40141),a895)),x40142),f836(f276(x40141,x40141),x40142)))
% 190.77/190.67 [4025]P1(f836(f836(f225(a1),f836(f73(a1),f836(f90(a1),f836(a102,x40251)))),f836(f90(a1),x40252)))
% 190.77/190.67 [4070]E(f836(f132(f900(x40701),x40701,f836(f7(x40701,f900(x40701),f900(x40701)),f141(x40701)),f103(x40701)),x40702),f836(f158(x40701),x40702))
% 190.77/190.67 [4118]P1(f836(f836(f224(f906(f905(f900(x41181),f900(x41181)),a895)),f148(x41181,x41182)),f297(f900(x41181),f147(x41181,x41182))))
% 190.77/190.67 [4147]P1(f836(f44(x41471,x41472),f836(f836(f242(a899,a899),f836(f836(f31(a899),x41471),x41472)),f41(a899,x41471,x41472))))
% 190.77/190.67 [4159]P1(f836(f836(f224(f906(f905(f900(x41591),f900(x41591)),a895)),f147(x41591,f297(x41591,x41592))),f297(f900(x41591),f147(x41591,x41592))))
% 190.77/190.67 [4375]E(f836(f836(f249(f905(a89,a89),a89,f905(a89,a89),f905(x43751,f905(a89,a89))),f257(f836(f155(a89),f836(f836(f144(f905(a89,x43751),a89),f241(a89,x43751)),x43752)))),f836(f836(f8(x43751,f906(f905(a89,a89),f905(x43751,f905(a89,a89))),a89),f242(x43751,f905(a89,a89))),f258(x43751,x43752))),f256(x43751,x43752))
% 190.77/190.67 [4452]E(f213(a899,f905(x44521,f901(x44521)),f2(a899),f836(f247(x44521,f901(x44521),a899),f836(f16(f906(f901(x44521),a899),x44521),f836(f836(f7(f901(x44521),a899,a899),f836(f836(f8(a899,f906(a899,a899),f901(x44521)),f74(a899)),f179(f901(x44521)))),f72(a899)))),f836(f125(x44521),x44522)),f836(f179(f901(x44521)),x44522))
% 190.77/190.67 [4558]E(f836(f247(f906(f905(x45581,x45581),a895),f906(f905(x45581,x45581),a895),f906(f906(x45582,x45581),f905(f906(f905(x45582,x45582),a895),f906(f905(x45582,x45582),a895)))),f836(f836(f7(f906(f905(x45581,x45581),a895),f906(f906(f905(x45581,x45581),a895),f906(f906(x45582,x45581),f906(f905(x45582,x45582),a895))),f906(f906(f905(x45581,x45581),a895),f906(f906(x45582,x45581),f905(f906(f905(x45582,x45582),a895),f906(f905(x45582,x45582),a895))))),f836(f836(f8(f906(f906(f906(x45582,x45581),f906(f905(x45582,x45582),a895)),f906(f906(x45582,x45581),f905(f906(f905(x45582,x45582),a895),f906(f905(x45582,x45582),a895)))),f906(f906(f906(f905(x45581,x45581),a895),f906(f906(x45582,x45581),f906(f905(x45582,x45582),a895))),f906(f906(f905(x45581,x45581),a895),f906(f906(x45582,x45581),f905(f906(f905(x45582,x45582),a895),f906(f905(x45582,x45582),a895))))),f906(f905(x45581,x45581),a895)),f8(f906(f906(x45582,x45581),f906(f905(x45582,x45582),a895)),f906(f906(x45582,x45581),f905(f906(f905(x45582,x45582),a895),f906(f905(x45582,x45582),a895))),f906(f905(x45581,x45581),a895))),f836(f836(f8(f906(f906(x45582,x45581),f906(f906(f905(x45582,x45582),a895),f905(f906(f905(x45582,x45582),a895),f906(f905(x45582,x45582),a895)))),f906(f906(f906(x45582,x45581),f906(f905(x45582,x45582),a895)),f906(f906(x45582,x45581),f905(f906(f905(x45582,x45582),a895),f906(f905(x45582,x45582),a895)))),f906(f905(x45581,x45581),a895)),f18(f906(x45582,x45581),f906(f905(x45582,x45582),a895),f905(f906(f905(x45582,x45582),a895),f906(f905(x45582,x45582),a895)))),f836(f836(f8(f906(f906(x45582,x45581),f906(f905(x45582,x45582),a895)),f906(f906(x45582,x45581),f906(f906(f905(x45582,x45582),a895),f905(f906(f905(x45582,x45582),a895),f906(f905(x45582,x45582),a895)))),f906(f905(x45581,x45581),a895)),f836(f8(f906(f905(x45582,x45582),a895),f906(f906(f905(x45582,x45582),a895),f905(f906(f905(x45582,x45582),a895),f906(f905(x45582,x45582),a895))),f906(x45582,x45581)),f242(f906(f905(x45582,x45582),a895),f906(f905(x45582,x45582),a895)))),f278(x45581,x45582))))),f278(x45581,x45582))),f68(x45581,x45582))
% 190.77/190.67 [4603]~E(f836(f298(x46031),x46032),f178(f906(f906(x46031,a895),a895)))
% 190.77/190.67 [4612]~P1(f836(f836(f162(x46121),f103(x46121)),x46122))
% 190.77/190.67 [4617]~P1(f836(f836(f318(x46171),x46172),f178(f906(x46171,a895))))
% 190.77/190.67 [4625]~P1(f836(f836(f225(f906(x46251,a895)),x46252),f178(f906(x46251,a895))))
% 190.77/190.67 [3494]E(f836(f836(f23(a899),x34941),f836(f836(f74(a899),x34941),x34942)),f2(a899))
% 190.77/190.67 [3497]E(f836(f836(f91(f906(x34971,a895)),x34972),x34972),x34972)
% 190.77/190.67 [3498]E(f836(f836(f92(f906(x34981,a895)),x34982),x34982),x34982)
% 190.77/190.67 [3527]E(f836(f836(f23(f906(x35271,a895)),x35272),x35272),f178(f906(x35271,a895)))
% 190.77/190.67 [3530]E(f836(f133(x35301,x35302),f2(a899)),f178(f906(f905(f900(x35301),f900(x35301)),a895)))
% 190.77/190.67 [3531]E(f836(f836(f74(a899),x35311),f836(a102,x35312)),f836(a102,f836(f836(f74(a899),x35311),x35312)))
% 190.77/190.67 [3542]E(f184(f836(f90(a1),x35421),f836(f90(a1),x35422)),f836(f90(a1),f836(f836(f23(a899),x35421),x35422)))
% 190.77/190.67 [3545]E(f836(f836(f31(a1),f836(f73(a1),x35451)),x35452),f836(f836(f31(a1),x35451),f836(f73(a1),x35452)))
% 190.77/190.67 [3549]E(f836(f30(a1),f836(f292(a1,x35491),x35492)),f836(a95,f836(f836(f23(a1),x35492),x35491)))
% 190.77/190.67 [3552]E(f836(f836(f74(a899),f836(a102,x35521)),x35522),f836(a102,f836(f836(f74(a899),x35521),x35522)))
% 190.77/190.67 [3555]E(f836(f73(f906(x35551,a895)),f836(f73(f906(x35551,a895)),x35552)),x35552)
% 190.77/190.67 [3567]E(f169(x35671,f836(f836(f141(f900(x35671)),f103(x35671)),x35672)),f169(x35671,x35672))
% 190.77/190.67 [3571]E(f836(f836(f74(a899),x35711),f836(f836(f75(a899),x35711),x35712)),f836(f836(f75(a899),x35711),f836(a102,x35712)))
% 190.77/190.67 [3578]E(f836(f836(a24,f836(a3,x35781)),f836(a3,x35782)),f836(a3,f836(f836(f23(a899),x35781),x35782)))
% 190.77/190.67 [3593]E(f836(f836(f75(a1),f836(f73(a1),x35931)),x35932),f836(f73(a1),f836(f836(f75(a1),x35931),x35932)))
% 190.77/190.67 [3595]E(f836(f836(f234(a1),f836(f90(a1),x35951)),x35952),f836(f90(a1),f836(f836(f234(a899),x35951),x35952)))
% 190.77/190.67 [3596]E(f836(f836(f74(a89),f836(a3,x35961)),f836(a3,x35962)),f836(a3,f836(f836(f74(a899),x35961),x35962)))
% 190.77/190.67 [3597]E(f836(f836(f75(a89),f836(a3,x35971)),f836(a3,x35972)),f836(a3,f836(f836(f75(a899),x35971),x35972)))
% 190.77/190.67 [3598]E(f836(f836(f228(a899),f836(a102,x35981)),f836(a102,x35982)),f836(a102,f836(f836(f228(a899),x35981),x35982)))
% 190.77/190.67 [3599]E(f836(f836(f223(a899),f836(a102,x35991)),f836(a102,x35992)),f836(a102,f836(f836(f223(a899),x35991),x35992)))
% 190.77/190.67 [3604]E(f836(f162(a899),f129(a899,f836(f292(a899,x36041),x36042))),f836(f292(a899,x36041),x36042))
% 190.77/190.67 [3605]E(f302(x36051,f836(f836(f299(x36051),x36052),f178(f906(x36051,a895)))),x36052)
% 190.77/190.67 [3609]E(f836(f274(x36091,x36092),f178(f906(f905(x36091,x36092),a895))),f178(f906(x36092,a895)))
% 190.77/190.67 [3610]E(f836(f254(x36101,x36102),f178(f906(f905(x36101,x36102),a895))),f178(f906(x36101,a895)))
% 190.77/190.67 [3614]E(f836(a95,f836(f836(f23(a1),x36141),x36142)),f836(f30(a1),f295(a1,x36142,x36141)))
% 190.77/190.67 [3619]E(f836(f836(f74(a899),x36191),f836(f836(f75(a899),x36192),x36191)),f836(f836(f75(a899),f836(a102,x36192)),x36191))
% 190.77/190.67 [3621]E(f836(f836(f56(x36211),f178(f906(x36211,a895))),x36212),f178(f906(f906(x36211,a895),a895)))
% 190.77/190.67 [3630]E(f836(f179(f900(a899)),f129(a899,f836(f292(a899,x36301),x36302))),f836(f836(f23(a899),x36302),x36301))
% 190.77/190.67 [3645]E(f836(f836(f91(f906(x36451,a895)),f178(f906(x36451,a895))),x36452),x36452)
% 190.77/190.67 [3646]E(f836(f836(f92(f906(x36461,a895)),f232(f906(x36461,a895))),x36462),x36462)
% 190.77/190.67 [3649]E(f836(f836(f74(a1),f836(f73(a1),x36491)),f836(f73(a1),x36492)),f836(f73(a1),f836(f836(f74(a1),x36491),x36492)))
% 190.77/190.67 [3651]E(f836(f836(f74(a1),f836(f94(a1),x36511)),f836(f94(a1),x36512)),f836(f94(a1),f836(f836(f74(a1),x36511),x36512)))
% 190.77/190.67 [3653]E(f836(f836(f74(a1),f836(f90(a1),x36531)),f836(f90(a1),x36532)),f836(f90(a1),f836(f836(f74(a899),x36531),x36532)))
% 190.77/190.67 [3654]E(f836(f836(f75(a1),f836(f94(a1),x36541)),f836(f94(a1),x36542)),f836(f94(a1),f836(f836(f75(a1),x36541),x36542)))
% 190.77/190.67 [3656]E(f836(f836(f75(a1),f836(f90(a1),x36561)),f836(f90(a1),x36562)),f836(f90(a1),f836(f836(f75(a899),x36561),x36562)))
% 190.77/190.67 [3657]E(f836(f836(f31(a1),f836(f90(a1),x36571)),f836(f90(a1),x36572)),f836(f90(a1),f836(f836(f31(a899),x36571),x36572)))
% 190.77/190.67 [3677]E(f836(f836(f6(x36771,a899),f836(f16(a899,x36771),f72(a899))),x36772),f836(f30(x36771),x36772))
% 190.77/190.67 [3682]E(f836(f73(a1),f41(a1,f836(f73(a1),x36821),x36822)),f41(a1,x36821,f836(f73(a1),x36822)))
% 190.77/190.67 [3684]E(f836(f162(a1),f168(x36841,f836(f836(f23(a1),x36842),f72(a1)))),f836(f292(a1,x36841),x36842))
% 190.77/190.67 [3688]P1(f836(f836(f224(a899),x36881),f836(f836(f74(a899),x36882),x36881)))
% 190.77/190.67 [3689]P1(f836(f836(f224(a899),x36891),f836(f836(f74(a899),x36891),x36892)))
% 190.77/190.67 [3692]E(f836(f836(f23(f906(x36921,a895)),f178(f906(x36921,a895))),x36922),f178(f906(x36921,a895)))
% 190.77/190.67 [3693]E(f836(f836(f91(f906(x36931,a895)),f232(f906(x36931,a895))),x36932),f232(f906(x36931,a895)))
% 190.77/190.67 [3694]E(f836(f836(f92(f906(x36941,a895)),f178(f906(x36941,a895))),x36942),f178(f906(x36941,a895)))
% 190.77/190.67 [3701]E(f836(f836(f242(a1,a1),x37011),f836(f73(a1),x37012)),f836(a47,f836(f836(f242(a1,a1),x37011),x37012)))
% 190.77/190.67 [3702]E(f836(f292(a1,f836(f836(f74(a1),x37021),f72(a1))),x37022),f296(a1,x37021,x37022))
% 190.77/190.67 [3713]E(f836(f836(f75(a899),x37131),f836(f836(f31(a899),x37132),x37131)),f836(f836(f23(a899),x37132),f41(a899,x37132,x37131)))
% 190.77/190.67 [3714]E(f836(f836(f75(a1),x37141),f836(f836(f31(a1),x37142),x37141)),f836(f836(f23(a1),x37142),f41(a1,x37142,x37141)))
% 190.77/190.67 [3717]E(f836(f162(a1),f168(f836(f836(f74(a1),x37171),f72(a1)),x37172)),f295(a1,x37171,x37172))
% 190.77/190.67 [3721]P1(f836(f836(f224(f906(x37211,a895)),x37212),x37212))
% 190.77/190.67 [3724]E(f836(f836(f91(f906(x37241,a895)),x37242),f836(f73(f906(x37241,a895)),x37242)),f232(f906(x37241,a895)))
% 190.77/190.67 [3725]E(f836(f836(f92(f906(x37251,a895)),x37252),f836(f73(f906(x37251,a895)),x37252)),f178(f906(x37251,a895)))
% 190.77/190.67 [3733]E(f836(f836(f23(a899),f836(f836(f23(a899),x37331),f72(a899))),x37332),f836(f836(f23(a899),x37331),f836(a102,x37332)))
% 190.77/190.67 [3739]E(f836(f836(f23(f906(x37391,a895)),f232(f906(x37391,a895))),x37392),f836(f73(f906(x37391,a895)),x37392))
% 190.77/190.67 [3740]E(f836(f836(f23(a1),f836(f94(a1),x37401)),f836(f94(a1),x37402)),f836(f94(a1),f836(f836(f74(a1),x37401),f836(f73(a1),x37402))))
% 190.77/190.67 [3753]E(f836(f162(a899),f129(a899,f836(f292(a899,x37531),f836(a102,x37532)))),f293(a899,x37531,x37532))
% 190.77/190.67 [3769]E(f836(f179(f900(f900(x37691))),f50(x37691,x37692)),f836(f836(f234(a899),f836(a102,f836(a102,f2(a899)))),f836(f179(f900(x37691)),x37692)))
% 190.77/190.67 [3787]E(f836(f836(f173(f905(x37871,x37871),a895),f2(a899)),x37872),f297(x37871,f178(f906(f905(x37871,x37871),a895))))
% 190.77/190.67 [3791]P1(f836(f127(a899),f129(a899,f836(f292(a899,x37911),x37912))))
% 190.77/190.67 [3807]E(f836(f300(a1,a899,a95),f293(a1,f836(f90(a1),x38071),f836(f90(a1),x38072))),f293(a899,x38071,x38072))
% 190.77/190.67 [3816]E(f175(a899,f2(a899),f5(a899),f836(f836(f23(a899),x38161),x38162)),f836(f836(f23(a899),x38161),f836(a102,x38162)))
% 190.77/190.67 [3817]E(f836(a95,f836(f836(f23(a1),x38171),f836(f836(f74(a1),x38172),f72(a1)))),f836(f30(a1),f296(a1,x38172,x38171)))
% 190.77/190.67 [3852]E(f836(f836(f144(a899,a899),a102),f129(a899,f836(f292(a899,x38521),x38522))),f129(a899,f836(f292(a899,f836(a102,x38521)),f836(a102,x38522))))
% 190.77/190.67 [3860]E(f836(f162(a1),f168(f836(f836(f74(a1),x38601),f72(a1)),f836(f836(f23(a1),x38602),f72(a1)))),f296(a1,x38601,x38602))
% 190.77/190.67 [3872]P1(f836(f836(f224(f906(x38721,a895)),f178(f906(x38721,a895))),x38722))
% 190.77/190.67 [3876]E(f79(x38761,f836(f836(f7(x38761,x38761,a895),a314),x38762)),x38762)
% 190.77/190.67 [3877]E(f84(x38771,f836(f836(f7(x38771,x38771,a895),a314),x38772)),x38772)
% 190.77/190.67 [3881]E(f836(f162(a899),f129(a899,f836(f292(a899,f836(a102,x38811)),f836(a102,x38812)))),f295(a899,x38811,x38812))
% 190.77/190.67 [3907]E(f836(f836(f244(x39071,x39072),f232(f906(x39071,a895))),f836(f16(f906(x39072,a895),x39071),f232(f906(x39072,a895)))),f232(f906(f905(x39071,x39072),a895)))
% 190.77/190.67 [3940]E(f836(f252(x39401),f836(f836(f8(a895,a895,x39401),a312),x39402)),f836(f73(f906(x39401,a895)),f836(f252(x39401),x39402)))
% 190.77/190.67 [3943]E(f836(f252(x39431),f836(f836(f7(x39431,x39431,a895),a314),x39432)),f836(f836(f299(x39431),x39432),f178(f906(x39431,a895))))
% 190.77/190.67 [3950]E(f836(f836(f74(a1),f836(f836(f23(a1),x39501),x39502)),f836(f836(f23(a1),x39501),x39502)),f836(f836(f23(a1),f836(f836(f74(a1),x39501),x39501)),f836(f836(f74(a1),x39502),x39502)))
% 190.77/190.67 [3951]E(f836(f836(f74(a1),f836(f836(f74(a1),x39511),x39511)),f836(f836(f74(a1),x39512),x39512)),f836(f836(f74(a1),f836(f836(f74(a1),x39511),x39512)),f836(f836(f74(a1),x39511),x39512)))
% 190.77/190.67 [3967]P1(f836(f836(f224(a899),f836(f30(x39671),f836(f162(x39671),x39672))),f836(f179(f900(x39671)),x39672)))
% 190.77/190.67 [3968]P1(f836(f836(f224(a899),f836(f179(f900(x39681)),f142(x39681,x39682))),f836(f179(f900(x39681)),x39682)))
% 190.77/190.67 [3978]E(f836(f252(x39781),f836(f836(f7(x39781,f906(x39781,a895),a895),f318(x39781)),x39782)),x39782)
% 190.77/190.67 [3992]E(f836(f836(f165(x39921),f836(f836(f23(a899),f836(f179(f900(x39921)),x39922)),f72(a899))),x39922),f104(x39921,x39922))
% 190.77/190.67 [4012]E(f175(a899,f2(a899),f836(f836(f8(a899,a899,a899),a102),f836(f228(a899),x40121)),x40122),f836(f836(f228(a899),f836(a102,x40121)),x40122))
% 190.77/190.67 [4017]E(f32(f906(x40171,a895),f836(f300(f906(f905(x40171,x40171),a895),f906(x40171,a895),f271(x40171)),x40172)),f836(f271(x40171),f32(f906(f905(x40171,x40171),a895),x40172)))
% 190.77/190.67 [4018]E(f175(a899,f836(a102,x40181),f836(f836(f8(a899,a899,a899),a102),f836(f223(a899),x40181)),x40182),f836(f836(f223(a899),f836(a102,x40181)),x40182))
% 190.77/190.67 [4020]E(f836(f836(f242(a1,a1),f836(f836(f31(a1),f836(f70(a1),x40201)),f836(f70(a1),x40202))),f41(a1,f836(f70(a1),x40201),f836(f70(a1),x40202))),f49(x40201,x40202))
% 190.77/190.67 [4043]P1(f836(f836(f224(f906(f906(x40431,a895),a895)),x40432),f836(f298(x40431),f32(f906(x40431,a895),x40432))))
% 190.77/190.67 [4075]E(f836(f836(f35(x40751,f906(x40751,a895)),x40752),f836(f836(f7(x40751,f906(x40751,a895),f906(x40751,a895)),f299(x40751)),f178(f906(x40751,a895)))),x40752)
% 190.77/190.67 [4076]E(f836(f836(f279(x40761,x40761,x40761),f836(f276(x40761,x40761),x40762)),f297(x40761,f836(f276(x40761,x40761),x40762))),f836(f276(x40761,x40761),f836(f836(f279(x40761,x40761,x40761),x40762),f297(x40761,x40762))))
% 190.77/190.67 [4139]E(f836(f162(x41391),f836(f132(f900(x41391),f900(x41391),f124(x41391),f103(x41391)),x41392)),f836(f836(f35(f900(x41391),f906(x41391,a895)),f836(f162(f900(x41391)),x41392)),f162(x41391)))
% 190.77/190.67 [4170]E(f836(f836(f91(f906(f905(x41701,x41701),a895)),f297(x41701,f178(f906(f905(x41701,x41701),a895)))),f836(f836(f279(x41701,x41701,x41701),f297(x41701,x41702)),x41702)),f297(x41701,x41702))
% 190.77/190.67 [4206]E(f836(f836(f171(x42061,x42061),x42062),x42062),f836(f836(f144(x42061,f905(x42061,x42061)),f836(f836(f18(x42061,x42061,f905(x42061,x42061)),f242(x42061,x42061)),f5(x42061))),x42062))
% 190.77/190.67 [4317]E(f836(f132(a899,f900(x43171),f836(f7(f900(x43171),a899,a899),f836(f836(f8(a899,f906(a899,a899),f900(x43171)),f223(a899)),f179(f900(x43171)))),f2(a899)),f836(f158(f900(x43171)),x43172)),f836(f179(f900(f900(x43171))),f169(x43171,x43172)))
% 190.77/190.67 [4389]E(f836(f836(f278(f905(a899,f900(x43891)),f900(x43891)),f310(a899,f900(x43891),a230,f135(x43891,x43892))),f836(f836(f18(f900(x43891),f900(x43891),f905(a899,f900(x43891))),f836(f836(f8(a899,f906(f900(x43891),f905(a899,f900(x43891))),f900(x43891)),f242(a899,f900(x43891))),f179(f900(x43891)))),f5(f900(x43891)))),f136(x43891,x43892))
% 190.77/190.67 [4516]E(f836(f252(x45161),f836(f836(f8(f906(f906(x45161,a895),a895),a895,x45161),f82(f906(x45161,a895))),f836(f836(f8(f906(f906(x45161,a895),a895),f906(f906(x45161,a895),a895),x45161),f836(f18(f906(x45161,a895),a895,a895),f836(f836(f8(a895,f906(a895,a895),f906(x45161,a895)),a319),f836(f836(f7(f906(x45161,a895),f906(f906(x45161,a895),a895),a895),f318(f906(x45161,a895))),x45162)))),f318(x45161)))),f33(f906(x45161,a895),x45162))
% 190.77/190.67 [4517]E(f836(f252(x45171),f836(f836(f8(f906(f906(x45171,a895),a895),a895,x45171),f81(f906(x45171,a895))),f836(f836(f8(f906(f906(x45171,a895),a895),f906(f906(x45171,a895),a895),x45171),f836(f18(f906(x45171,a895),a895,a895),f836(f836(f8(a895,f906(a895,a895),f906(x45171,a895)),a315),f836(f836(f7(f906(x45171,a895),f906(f906(x45171,a895),a895),a895),f318(f906(x45171,a895))),x45172)))),f318(x45171)))),f32(f906(x45171,a895),x45172))
% 190.77/190.67 [4626]~P1(f836(f836(f225(a1),f836(f90(a1),x46261)),f836(f73(a1),f836(f90(a1),x46262))))
% 190.77/190.67 [3617]E(f836(f836(f23(a899),f836(f836(f74(a899),x36171),x36172)),x36172),x36171)
% 190.77/190.67 [3618]E(f836(f836(f23(a899),f836(f836(f74(a899),x36181),x36182)),x36181),x36182)
% 190.77/190.67 [3683]E(f836(f836(f74(a899),f836(f836(f23(a899),x36831),x36832)),x36832),f836(f836(f223(a899),x36831),x36832))
% 190.77/190.67 [3794]E(f836(f836(f75(a899),f836(f836(f31(a899),x37941),x37942)),x37942),f836(f836(f23(a899),x37941),f41(a899,x37941,x37942)))
% 190.77/190.67 [3821]E(f836(f162(a899),f129(a899,f836(f292(a899,f836(a102,x38211)),x38212))),f296(a899,x38211,x38212))
% 190.77/190.67 [3829]E(f836(f90(a1),f206(f836(a95,f836(f70(a1),x38291)),f836(a95,f836(f70(a1),x38292)))),f836(f836(a207,x38291),x38292))
% 190.77/190.67 [3831]E(f836(f836(f91(f906(x38311,a895)),f836(f73(f906(x38311,a895)),x38312)),x38312),f232(f906(x38311,a895)))
% 190.77/190.67 [3832]E(f836(f836(f92(f906(x38321,a895)),f836(f73(f906(x38321,a895)),x38322)),x38322),f178(f906(x38321,a895)))
% 190.77/190.67 [3848]P1(f836(f836(f224(a899),f836(f836(f23(a899),x38481),x38482)),x38481))
% 190.77/190.67 [3849]P1(f836(f836(f224(a899),f836(f836(f31(a899),x38491),x38492)),x38491))
% 190.77/190.67 [3873]P1(f836(f836(f225(a899),x38731),f836(a102,f836(f836(f74(a899),x38732),x38731))))
% 190.77/190.67 [3874]P1(f836(f836(f225(a899),x38741),f836(a102,f836(f836(f74(a899),x38741),x38742))))
% 190.77/190.67 [3891]E(f836(f836(f75(a899),f836(a95,f836(f70(a1),x38911))),f836(a95,f836(f70(a1),x38912))),f836(a95,f836(f70(a1),f836(f836(f75(a1),x38911),x38912))))
% 190.77/190.67 [3903]P1(f836(f836(f224(a1),f2(a1)),f836(f836(f234(a1),f836(f70(a1),x39031)),x39032)))
% 190.77/190.67 [3971]E(f836(f275(f900(x39711),f900(x39711),f148(x39711,x39712)),f836(f836(f299(f900(x39711)),f103(x39711)),f178(f906(f900(x39711),a895)))),f836(f836(f299(f900(x39711)),f103(x39711)),f178(f906(f900(x39711),a895))))
% 190.77/190.67 [3990]E(f836(f836(f91(f906(f905(x39901,x39901),a895)),f297(x39901,x39902)),f297(x39901,f178(f906(f905(x39901,x39901),a895)))),f297(x39901,x39902))
% 190.77/190.67 [4002]E(f836(f836(f31(a1),f836(f94(a1),f836(f836(f74(a1),x40021),x40021))),f836(f94(a1),f836(f836(f74(a1),x40022),x40022))),f836(f836(f31(a1),f836(f94(a1),x40021)),f836(f94(a1),x40022)))
% 190.77/190.67 [4065]E(f836(f836(f234(a1),x40651),f836(f94(a899),f836(f836(f74(a1),x40652),x40652))),f836(f836(f80(a1,a1),f836(f836(f234(a1),x40651),f836(f94(a899),x40652))),f836(f836(f18(a1,a1,a1),f75(a1)),f5(a1))))
% 190.77/190.67 [4071]E(f836(f252(f906(x40711,a895)),f836(f836(f7(f906(x40711,a895),f906(x40711,a895),a895),f224(f906(x40711,a895))),x40712)),f836(f298(x40711),x40712))
% 190.77/190.67 [4087]E(f836(f836(f144(a1,a899),a95),f836(f836(f124(a1),f836(f836(f144(a899,a1),f90(a1)),x40871)),f836(f836(f144(a899,a1),f90(a1)),x40872))),f836(f836(f124(a899),x40871),x40872))
% 190.77/190.67 [4117]E(f836(f300(a1,a1,f836(f836(f7(a1,a1,a1),f74(a1)),x41171)),f836(f292(a1,f2(a1)),f836(f836(f23(a1),x41172),x41171))),f836(f292(a1,x41171),x41172))
% 190.77/190.67 [4119]P53(x41191,f836(f836(f23(f906(f905(x41191,x41191),a895)),x41192),f297(x41191,f178(f906(f905(x41191,x41191),a895)))))
% 190.77/190.67 [4137]E(f836(f179(f900(x41371)),f836(f132(f900(x41371),f900(x41371),f124(x41371),f103(x41371)),x41372)),f836(f155(a899),f836(f836(f144(f900(x41371),a899),f179(f900(x41371))),x41372)))
% 190.77/190.67 [4141]P52(x41411,f232(f906(x41411,a895)),f836(f836(f91(f906(f905(x41411,x41411),a895)),x41412),f297(x41411,f178(f906(f905(x41411,x41411),a895)))))
% 190.77/190.67 [4186]E(f175(a899,f2(a899),f836(f836(f8(a899,a899,a899),a102),f836(f836(f7(a899,a899,a899),f228(a899)),x41861)),x41862),f836(f836(f228(a899),x41862),f836(a102,x41861)))
% 190.77/190.67 [4189]E(f175(a899,f836(a102,x41891),f836(f836(f8(a899,a899,a899),a102),f836(f836(f7(a899,a899,a899),f223(a899)),x41891)),x41892),f836(f836(f223(a899),x41892),f836(a102,x41891)))
% 190.77/190.67 [4192]E(f836(f300(x41921,f900(x41921),f836(f836(f7(x41921,f900(x41921),f900(x41921)),f141(x41921)),f103(x41921))),x41922),f164(x41921,x41922,f836(f836(f299(f900(x41921)),f103(x41921)),f178(f906(f900(x41921),a895)))))
% 190.77/190.67 [4194]E(f836(f836(f91(f906(f905(x41941,x41941),a895)),f836(f836(f279(x41941,x41941,x41941),x41942),f297(x41941,x41942))),f297(x41941,f178(f906(f905(x41941,x41941),a895)))),f297(x41941,x41942))
% 190.77/190.67 [4201]P1(f836(f836(f224(f906(f905(x42011,x42011),a895)),f253(x42011,x42012)),f836(f836(f244(x42011,x42011),x42012),f836(f16(f906(x42011,a895),x42011),x42012))))
% 190.77/190.67 [4204]E(f836(f300(a1,a899,a95),f836(f836(f91(f906(a1,a895)),f836(f300(a899,a1,f90(a1)),x42041)),f836(f300(a899,a1,f90(a1)),x42042))),f836(f836(f91(f906(a899,a895)),x42041),x42042))
% 190.77/190.67 [4205]E(f836(f300(a1,a899,a95),f836(f836(f92(f906(a1,a895)),f836(f300(a899,a1,f90(a1)),x42051)),f836(f300(a899,a1,f90(a1)),x42052))),f836(f836(f92(f906(a899,a895)),x42051),x42052))
% 190.77/190.67 [4208]E(f836(f252(x42081),f836(f836(f8(a895,a895,x42081),a312),f836(f836(f7(x42081,f906(x42081,a895),a895),f318(x42081)),x42082))),f836(f73(f906(x42081,a895)),x42082))
% 190.77/190.67 [4235]E(f836(f132(f900(x42351),f900(x42351),f124(x42351),f103(x42351)),f836(f836(f144(f900(x42351),f900(x42351)),f158(x42351)),f836(f158(f900(x42351)),x42352))),f836(f158(x42351),f836(f132(f900(x42351),f900(x42351),f124(x42351),f103(x42351)),x42352)))
% 190.77/190.67 [4261]E(f836(f836(f35(a899,f906(f905(x42611,x42611),a895)),f232(f906(a899,a895))),f836(f836(f7(a899,f906(f905(x42611,x42611),a895),f906(f905(x42611,x42611),a895)),f173(f905(x42611,x42611),a895)),x42612)),f297(x42611,x42612))
% 190.77/190.67 [4279]E(f79(x42791,f836(f836(f8(f906(x42791,a895),a895,x42791),f836(a314,x42792)),f836(f836(f7(x42791,f906(x42791,a895),f906(x42791,a895)),f299(x42791)),f178(f906(x42791,a895))))),f302(x42791,x42792))
% 190.77/190.67 [4287]E(f836(f179(f900(x42871)),f142(x42871,f836(f132(f900(x42871),f900(x42871),f124(x42871),f103(x42871)),x42872))),f836(f30(x42871),f836(f836(f35(f900(x42871),f906(x42871,a895)),f836(f162(f900(x42871)),x42872)),f162(x42871))))
% 190.77/190.67 [4301]E(f836(f836(f91(f906(f905(x43011,x43011),a895)),x43012),f836(f836(f279(x43011,x43011,x43011),f836(f836(f279(x43011,x43011,x43011),x43012),f297(x43011,x43012))),x43012)),f836(f836(f279(x43011,x43011,x43011),x43012),f297(x43011,x43012)))
% 190.77/190.67 [4325]P1(f836(f836(f224(f906(f905(x43251,x43251),a895)),f836(f836(f279(x43251,x43251,x43251),x43252),f297(x43251,x43252))),f836(f836(f244(x43251,x43251),f836(f271(x43251),x43252)),f836(f16(f906(x43251,a895),x43251),f836(f271(x43251),x43252)))))
% 190.77/190.67 [4366]E(f836(f252(f900(x43661)),f836(f836(f7(f900(x43661),f906(x43661,a895),a895),f836(f836(f8(f906(x43661,a895),f906(f906(x43661,a895),a895),f900(x43661)),f224(f906(x43661,a895))),f162(x43661))),x43662)),f151(x43661,x43662))
% 190.77/190.67 [4377]E(f836(f146(f900(x43771),x43771,f103(x43771),f836(f836(f8(f900(x43771),f906(f900(x43771),f900(x43771)),x43771),f836(f7(f900(x43771),f900(x43771),f900(x43771)),f124(x43771))),f836(f836(f7(x43771,f900(x43771),f900(x43771)),f141(x43771)),f103(x43771)))),x43772),f836(f157(x43771),x43772))
% 190.77/190.67 [4417]P24(f906(x44171,x44172),f906(f905(x44171,x44172),a895),f836(f836(f8(f906(f905(x44171,x44172),a895),f906(f905(x44171,x44172),a895),f906(x44171,x44172)),f252(f905(x44171,x44172))),f836(f836(f8(f906(x44171,f906(x44172,a895)),f906(f905(x44171,x44172),a895),f906(x44171,x44172)),f247(x44171,x44172,a895)),f836(f8(x44172,f906(x44172,a895),x44171),f836(f7(x44172,x44172,a895),a314)))),f232(f906(f906(x44171,x44172),a895)))
% 190.77/190.67 [4422]E(f41(a1,f836(f94(a1),f836(f836(f74(a1),x44221),x44221)),f836(f94(a1),f836(f836(f74(a1),x44222),x44222))),f836(f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f41(a1,f836(f94(a1),x44221),f836(f94(a1),x44222))))
% 190.77/190.67 [4466]E(f836(f836(f35(x44661,f906(f905(x44661,x44661),a895)),x44662),f836(f836(f7(x44661,f906(f905(x44661,x44661),a895),f906(f905(x44661,x44661),a895)),f836(f836(f8(f905(x44661,x44661),f906(f906(f905(x44661,x44661),a895),f906(f905(x44661,x44661),a895)),x44661),f299(f905(x44661,x44661))),f836(f836(f18(x44661,x44661,f905(x44661,x44661)),f242(x44661,x44661)),f5(x44661)))),f178(f906(f905(x44661,x44661),a895)))),f253(x44661,x44662))
% 190.77/190.67 [4474]E(f192(x44741,f836(f836(f242(a1,a1),f836(f73(a1),f836(f836(f67(f905(a1,a1),a1,x44741,f241(a1,a1)),f202(x44741)),x44742))),f836(f836(f67(f905(a1,a1),a1,x44741,f246(a1,a1)),f202(x44741)),x44742))),f217(x44741,x44742))
% 190.77/190.67 [4555]E(f836(f252(f906(x45551,a895)),f836(f836(f8(f906(f906(x45551,a895),a895),a895,f906(x45551,a895)),f81(f906(x45551,a895))),f836(f836(f7(f906(x45551,a895),f906(f906(x45551,a895),a895),f906(f906(x45551,a895),a895)),f836(f836(f8(f906(f906(x45551,a895),f906(a895,a895)),f906(f906(f906(x45551,a895),a895),f906(f906(x45551,a895),a895)),f906(x45551,a895)),f18(f906(x45551,a895),a895,a895)),f836(f836(f8(f906(f906(x45551,a895),a895),f906(f906(x45551,a895),f906(a895,a895)),f906(x45551,a895)),f836(f8(a895,f906(a895,a895),f906(x45551,a895)),a315)),f836(f836(f7(f906(x45551,a895),f906(f906(x45551,a895),f906(x45551,a895)),f906(f906(x45551,a895),a895)),f836(f836(f8(f906(f906(x45551,a895),a895),f906(f906(f906(x45551,a895),f906(x45551,a895)),f906(f906(x45551,a895),a895)),f906(x45551,a895)),f8(f906(x45551,a895),a895,f906(x45551,a895))),a314)),f73(f906(x45551,a895)))))),f836(f836(f8(f906(f906(x45551,a895),a895),a895,f906(x45551,a895)),f836(f318(f906(x45551,a895)),x45552)),f298(x45551))))),f836(f298(x45551),f836(f73(f906(x45551,a895)),x45552)))
% 190.77/190.67 [4624]~E(f836(f836(f74(a1),x46241),x46241),f836(f836(f23(a1),f836(f836(f74(a1),x46242),x46242)),a87))
% 190.77/190.67 [4628]~P1(f836(f836(f225(a899),f836(f836(f74(a899),x46281),x46282)),x46282))
% 190.77/190.67 [4629]~P1(f836(f836(f225(a899),f836(f836(f74(a899),x46291),x46292)),x46291))
% 190.77/190.67 [3908]E(f836(f836(f23(a899),x39081),f836(f836(f75(a899),f836(f836(f31(a899),x39081),x39082)),x39082)),f41(a899,x39081,x39082))
% 190.77/190.67 [3909]E(f836(f836(f23(a1),x39091),f836(f836(f75(a1),f836(f836(f31(a1),x39091),x39092)),x39092)),f41(a1,x39091,x39092))
% 190.77/190.67 [3941]E(f836(f836(f144(a899,x39411),f836(f154(x39411),x39412)),f129(a899,f836(f292(a899,f2(a899)),f836(f179(f900(x39411)),x39412)))),x39412)
% 190.77/190.67 [3998]E(f836(f275(x39981,x39981,f297(x39981,f178(f906(f905(x39981,x39981),a895)))),x39982),x39982)
% 190.77/190.67 [4122]E(f297(x41221,f836(f836(f23(f906(f905(x41221,x41221),a895)),x41222),f297(x41221,f178(f906(f905(x41221,x41221),a895))))),f297(x41221,x41222))
% 190.77/190.67 [4123]E(f297(x41231,f836(f836(f91(f906(f905(x41231,x41231),a895)),x41232),f297(x41231,f178(f906(f905(x41231,x41231),a895))))),f297(x41231,x41232))
% 190.77/190.67 [4173]E(f836(f836(f23(a1),f836(f836(f23(a1),f836(f836(f74(a1),x41731),x41731)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),x41732),x41732)),a87)),f836(f836(f74(a1),f836(f836(f23(a1),x41731),x41732)),f836(f836(f23(a1),x41731),x41732)))
% 190.77/190.67 [4213]E(f836(f836(f23(a1),f836(f836(f74(a1),f836(f836(f74(a1),x42131),x42132)),f836(f836(f74(a1),x42131),x42132))),a87),f836(f836(f74(a1),f836(f836(f74(a1),x42131),x42131)),f836(f836(f23(a1),f836(f836(f74(a1),x42132),x42132)),a87)))
% 190.77/190.67 [4238]E(f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),x42381),x42381)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),x42382),x42382)),a87)),f836(f836(f74(a1),f836(f836(f74(a1),x42381),f836(f836(f23(a1),x42382),a87))),f836(f836(f74(a1),x42381),f836(f836(f23(a1),x42382),a87))))
% 190.77/190.67 [4249]E(f836(f836(f23(a1),f836(f836(f74(a1),f836(f836(f23(a1),x42491),x42492)),f836(f836(f23(a1),x42491),x42492))),a87),f836(f836(f23(a1),f836(f836(f23(a1),f836(f836(f74(a1),x42491),x42491)),a87)),f836(f836(f74(a1),x42492),x42492)))
% 190.77/190.67 [4250]E(f836(f836(f23(a1),f836(f836(f74(a1),f836(f836(f74(a1),x42501),x42502)),f836(f836(f74(a1),x42501),x42502))),a87),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),x42501),x42501)),a87)),f836(f836(f74(a1),x42502),x42502)))
% 190.77/190.67 [4298]E(f836(f90(a1),f836(f836(f31(a899),f836(f836(f75(a899),f836(a95,f836(f70(a1),x42981))),f836(a95,f836(f70(a1),x42982)))),f206(f836(a95,f836(f70(a1),x42981)),f836(a95,f836(f70(a1),x42982))))),f208(x42981,x42982))
% 190.77/190.67 [4343]E(f836(f836(f249(f905(a89,a89),a89,f905(a89,a89),f905(x43431,f905(a89,a89))),f257(f836(a3,f836(f179(f900(x43431)),x43432)))),f836(f836(f8(x43431,f906(f905(a89,a89),f905(x43431,f905(a89,a89))),a89),f242(x43431,f905(a89,a89))),f836(f836(f8(a899,x43431,a89),f836(f154(x43431),x43432)),a20))),f265(x43431,x43432))
% 190.77/190.67 [4423]E(f836(f132(a899,f900(x44231),f836(f7(f900(x44231),a899,a899),f836(f836(f8(a899,f906(a899,a899),f900(x44231)),f223(a899)),f179(f900(x44231)))),f2(a899)),f836(f158(f900(x44231)),f169(x44231,x44232))),f836(f179(f900(f900(x44231))),f836(f126(f900(x44231),f836(f836(f8(a895,a895,f900(x44231)),a312),f836(f836(f7(f900(x44231),f900(x44231),a895),a314),f103(x44231)))),x44232)))
% 190.77/190.67 [4429]E(f836(f836(f35(a899,f906(x44291,a895)),f232(f906(a899,a895))),f836(f836(f7(a899,f906(a899,f906(x44291,a895)),f906(x44291,a895)),f836(f836(f8(f906(a899,a895),f906(f906(a899,f906(x44291,a895)),f906(x44291,a895)),a899),f35(a899,f906(x44291,a895))),f292(a899,f2(a899)))),x44292)),f836(f836(f35(a899,f906(x44291,a895)),f232(f906(a899,a895))),x44292))
% 190.77/190.67 [4451]P1(f836(f29(a899),f836(f252(a899),f836(f836(f18(a899,a895,a895),f836(f836(f8(a895,f906(a895,a895),a899),a315),x44511)),f836(f836(f7(a899,a899,a895),f225(a899)),x44512)))))
% 190.77/190.67 [4563]E(f836(f252(f905(f900(x45631),f900(x45631))),f836(f247(f900(x45631),f900(x45631),a895),f836(f836(f18(f900(x45631),f906(f900(x45631),a895),f906(f900(x45631),a895)),f836(f836(f8(f906(f900(x45631),f906(a895,a895)),f906(f906(f900(x45631),a895),f906(f900(x45631),a895)),f900(x45631)),f18(f900(x45631),a895,a895)),f836(f836(f8(f906(f900(x45631),a895),f906(f900(x45631),f906(a895,a895)),f900(x45631)),f836(f8(a895,f906(a895,a895),f900(x45631)),a316)),f836(f836(f7(f900(x45631),f906(f900(x45631),a899),f906(f900(x45631),a895)),f836(f836(f8(f906(a899,a895),f906(f906(f900(x45631),a899),f906(f900(x45631),a895)),f900(x45631)),f8(a899,a895,f900(x45631))),f836(f836(f8(a899,f906(a899,a895),f900(x45631)),f225(a899)),f179(f900(x45631))))),f179(f900(x45631)))))),f836(f836(f18(f900(x45631),f906(f900(x45631),a895),f906(f900(x45631),a895)),f836(f836(f8(f906(f900(x45631),f906(a895,a895)),f906(f906(f900(x45631),a895),f906(f900(x45631),a895)),f900(x45631)),f18(f900(x45631),a895,a895)),f836(f836(f8(f906(f900(x45631),a895),f906(f900(x45631),f906(a895,a895)),f900(x45631)),f836(f8(a895,f906(a895,a895),f900(x45631)),a315)),f836(f836(f7(f900(x45631),f906(f900(x45631),a899),f906(f900(x45631),a895)),f836(f836(f8(f906(a899,a895),f906(f906(f900(x45631),a899),f906(f900(x45631),a895)),f900(x45631)),f8(a899,a895,f900(x45631))),f836(f836(f8(a899,f906(a899,a895),f900(x45631)),a314),f179(f900(x45631))))),f179(f900(x45631)))))),f836(f836(f7(f900(x45631),f906(f905(f900(x45631),f900(x45631)),a895),f906(f900(x45631),a895)),f836(f836(f8(f906(f900(x45631),f906(f906(f905(f900(x45631),f900(x45631)),a895),a895)),f906(f906(f905(f900(x45631),f900(x45631)),a895),f906(f900(x45631),a895)),f900(x45631)),f7(f900(x45631),f906(f905(f900(x45631),f900(x45631)),a895),a895)),f836(f836(f8(f906(f900(x45631),f905(f900(x45631),f900(x45631))),f906(f900(x45631),f906(f906(f905(f900(x45631),f900(x45631)),a895),a895)),f900(x45631)),f836(f8(f905(f900(x45631),f900(x45631)),f906(f906(f905(f900(x45631),f900(x45631)),a895),a895),f900(x45631)),f318(f905(f900(x45631),f900(x45631))))),f242(f900(x45631),f900(x45631))))),f135(x45631,x45632)))))),f136(x45631,x45632))
% 190.77/190.67 [4241]E(f836(f836(f74(a1),f836(f836(f74(a1),f836(f836(f75(a1),x42411),x42412)),f836(f836(f75(a1),x42411),x42412))),x42412),f836(f836(f75(a1),f836(f836(f23(a1),f836(f836(f74(a1),x42411),x42411)),a87)),x42412))
% 190.77/190.67 [4342]E(f836(a95,f836(a83,f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),f836(f836(f242(a899,a899),x43421),x43422)),f178(f906(f905(a899,a899),a895)))))),f836(f836(f23(a899),x43421),x43422))
% 190.77/190.67 [4346]E(f836(f836(f279(x43461,x43461,x43461),f836(f836(f91(f906(f905(x43461,x43461),a895)),x43462),f297(x43461,f178(f906(f905(x43461,x43461),a895))))),f297(x43461,f836(f836(f91(f906(f905(x43461,x43461),a895)),x43462),f297(x43461,f178(f906(f905(x43461,x43461),a895)))))),f297(x43461,x43462))
% 190.77/190.67 [4383]E(f258(x43831,f836(f126(f905(a89,x43831),f836(f247(a89,x43831,a895),f836(f836(f8(a895,f906(x43831,a895),a89),f16(a895,x43831)),f836(f225(a89),f2(a89))))),x43832)),f258(x43831,x43832))
% 190.77/190.67 [4384]E(f256(x43841,f836(f126(f905(a89,x43841),f836(f247(a89,x43841,a895),f836(f836(f8(a895,f906(x43841,a895),a89),f16(a895,x43841)),f836(f225(a89),f2(a89))))),x43842)),f256(x43841,x43842))
% 190.77/190.67 [4386]E(f836(f73(a1),f836(a83,f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),f836(f836(f242(a899,a899),x43861),x43862)),f178(f906(f905(a899,a899),a895)))))),f836(a83,f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),f836(f836(f242(a899,a899),x43862),x43861)),f178(f906(f905(a899,a899),a895))))))
% 190.77/190.67 [4442]E(f836(f836(f278(f900(a899),x44421),f135(a899,a230)),f836(f836(f7(x44421,f900(f906(x44421,a899)),f900(a899)),f836(f836(f8(f906(f906(x44421,a899),a899),f906(f900(f906(x44421,a899)),f900(a899)),x44421),f144(f906(x44421,a899),a899)),f836(f7(f906(x44421,a899),x44421,a899),f5(f906(x44421,a899))))),x44422)),f143(x44421,x44422))
% 190.77/190.67 [4463]E(f836(f836(f80(a1,a899),f836(f94(a1),f836(f836(f74(a1),x44631),a87))),f836(f836(f18(a1,a899,a899),f836(f836(f7(a1,a899,f906(a899,a899)),f836(f836(f8(a895,f906(a899,f906(a899,a899)),a1),f86(a899)),a183)),f2(a899))),f836(f836(f8(a899,a899,a1),a102),f836(f836(f8(a899,a899,a1),f836(f228(a899),x44632)),a95)))),f836(f836(f228(a899),f836(a102,x44632)),f836(f94(a899),x44631)))
% 190.77/190.67 [4464]E(f836(f836(f80(a1,a899),f836(f94(a1),f836(f836(f74(a1),x44641),a87))),f836(f836(f18(a1,a899,a899),f836(f836(f7(a1,a899,f906(a899,a899)),f836(f836(f8(a895,f906(a899,f906(a899,a899)),a1),f86(a899)),a183)),f836(a102,x44642))),f836(f836(f8(a899,a899,a1),a102),f836(f836(f8(a899,a899,a1),f836(f223(a899),x44642)),a95)))),f836(f836(f223(a899),f836(a102,x44642)),f836(f94(a899),x44641)))
% 190.77/190.67 [4484]E(f836(f132(f900(x44841),f900(x44841),f124(x44841),f103(x44841)),f836(f836(f144(f900(x44841),f900(x44841)),f146(f900(x44841),x44841,f103(x44841),f836(f836(f8(f900(x44841),f906(f900(x44841),f900(x44841)),x44841),f16(f900(x44841),f900(x44841))),f836(f836(f7(x44841,f900(x44841),f900(x44841)),f141(x44841)),f103(x44841))))),x44842)),f836(f836(f144(f900(x44841),x44841),f131(x44841)),f836(f126(f900(x44841),f836(f836(f8(a895,a895,f900(x44841)),a312),f836(f836(f7(f900(x44841),f900(x44841),a895),a314),f103(x44841)))),x44842)))
% 190.77/190.67 [4546]E(f836(f247(a1,a1,a895),f836(f836(f7(a1,f906(a1,a895),f906(a1,a895)),f836(f836(f8(f906(a1,f906(a895,a895)),f906(f906(a1,a895),f906(a1,a895)),a1),f18(a1,a895,a895)),f836(f836(f8(f906(a1,a895),f906(a1,f906(a895,a895)),a1),f836(f8(a895,f906(a895,a895),a1),a315)),f836(f836(f8(f906(a1,a1),f906(a1,a895),a1),f836(f8(a1,a895,a1),f836(a314,x45461))),f836(f836(f8(a1,f906(a1,a1),a1),f74(a1)),f836(f75(a1),x45462)))))),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a315),f836(f836(f8(a895,a895,a1),f836(a319,f836(f836(f225(a1),f2(a1)),x45462))),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a315),f836(f224(a1),f2(a1)))),f836(f836(f7(a1,a1,a895),f225(a1)),x45462))))),f836(f836(f8(a895,a895,a1),f836(a319,f836(a312,f836(f836(f225(a1),f2(a1)),x45462)))),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a315),f836(f225(a1),x45462))),f836(f836(f7(a1,a1,a895),f224(a1)),f2(a1))))))),f45(x45461,x45462))
% 190.77/190.67 [4549]E(f836(f252(x45491),f836(f836(f8(f906(a899,a895),a895,x45491),f81(a899)),f836(f836(f7(x45491,f906(a899,a895),f906(a899,a895)),f836(f836(f8(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),x45491),f18(a899,a895,a895)),f836(f836(f8(f906(a899,a895),f906(a899,f906(a895,a895)),x45491),f836(f8(a895,f906(a895,a895),a899),a315)),f836(f836(f7(x45491,f906(a899,x45491),f906(a899,a895)),f836(f836(f8(f906(x45491,a895),f906(f906(a899,x45491),f906(a899,a895)),x45491),f8(x45491,a895,a899)),a314)),f836(f154(x45491),x45492))))),f836(f836(f7(a899,a899,a895),f225(a899)),f836(f179(f900(x45491)),x45492))))),f836(f162(x45491),x45492))
% 190.77/190.67 [4356]E(f836(f836(f23(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),x43561),a87)),x43562)),f836(f836(f23(a1),f836(f836(f74(a1),x43561),a87)),x43562))),a87),f836(f836(f23(a1),f836(f836(f74(a1),x43561),x43561)),f836(f836(f23(a1),f836(f836(f74(a1),x43562),x43562)),a87)))
% 190.77/190.67 [4479]E(f836(f132(f900(f900(x44791)),f900(f900(x44791)),f124(f900(x44791)),f103(f900(x44791))),f836(f836(f144(f900(x44791),f900(f900(x44791))),f146(f900(f900(x44791)),x44791,f103(f900(x44791)),f836(f16(f906(f900(x44791),f900(f900(x44791))),x44791),f836(f836(f7(f900(x44791),f900(f900(x44791)),f900(f900(x44791))),f141(f900(x44791))),f103(f900(x44791)))))),x44792)),f836(f836(f144(f900(x44791),f900(x44791)),f161(x44791)),f836(f126(f900(x44791),f836(f836(f8(a895,a895,f900(x44791)),a312),f836(f836(f7(f900(x44791),f900(x44791),a895),a314),f103(x44791)))),x44792)))
% 190.77/190.67 [4489]E(f836(f836(f80(a1,a899),f836(f94(a1),f836(f836(f74(a1),x44891),a87))),f836(f836(f18(a1,a899,a899),f836(f836(f7(a1,a899,f906(a899,a899)),f836(f836(f8(a895,f906(a899,f906(a899,a899)),a1),f86(a899)),a183)),f2(a899))),f836(f836(f8(a899,a899,a1),a102),f836(f836(f7(a1,a899,a899),f836(f836(f8(a899,f906(a899,a899),a1),f228(a899)),a95)),x44892)))),f836(f836(f228(a899),f836(f94(a899),x44891)),f836(a102,x44892)))
% 190.77/190.67 [4490]E(f836(f836(f80(a1,a899),f836(f94(a1),f836(f836(f74(a1),x44901),a87))),f836(f836(f18(a1,a899,a899),f836(f836(f7(a1,a899,f906(a899,a899)),f836(f836(f8(a895,f906(a899,f906(a899,a899)),a1),f86(a899)),a183)),f836(a102,x44902))),f836(f836(f8(a899,a899,a1),a102),f836(f836(f7(a1,a899,a899),f836(f836(f8(a899,f906(a899,a899),a1),f223(a899)),a95)),x44902)))),f836(f836(f223(a899),f836(f94(a899),x44901)),f836(a102,x44902)))
% 190.77/190.67 [4478]E(f836(f247(x44781,x44781,a895),f836(f836(f18(x44781,a895,f906(x44781,a895)),f836(f836(f8(f906(x44781,f906(a895,a895)),f906(a895,f906(x44781,a895)),x44781),f7(x44781,a895,a895)),f836(f836(f8(f906(x44781,a895),f906(x44781,f906(a895,a895)),x44781),f836(f8(a895,f906(a895,a895),x44781),a315)),a314))),x44782)),f253(x44781,x44782))
% 190.77/190.67 [4523]E(f836(f836(f31(a899),x45231),f836(f836(f74(a899),f836(f94(a899),f836(f836(f23(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))),a87))),x45232)),f836(f836(f31(a899),x45231),f836(a102,f836(a102,f836(a102,x45232)))))
% 190.77/190.67 [4524]E(f41(a899,x45241,f836(f836(f74(a899),f836(f94(a899),f836(f836(f23(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))),a87))),x45242)),f41(a899,x45241,f836(a102,f836(a102,f836(a102,x45242)))))
% 190.77/190.67 [4525]E(f41(a899,f836(f836(f74(a899),f836(f94(a899),f836(f836(f23(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))),a87))),x45251),x45252),f41(a899,f836(a102,f836(a102,f836(a102,x45251))),x45252))
% 190.77/190.67 [4537]E(f113(f836(x45371,f836(f836(f75(a89),f836(f94(a89),f836(f836(f23(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))),a87))),x45372))),f836(f190(x45371),x45372))
% 190.77/190.67 [4538]E(f836(f836(f31(a899),f836(f836(f74(a899),f836(f94(a899),f836(f836(f23(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))),a87))),x45381)),x45382),f836(f836(f31(a899),f836(a102,f836(a102,f836(a102,x45381)))),x45382))
% 190.77/190.67 [4590]~E(f116(x45901,x45902,x45903),f109(x45901))
% 190.77/190.67 [3344]E(f836(f182(x33441,x33442),x33443),f111(x33441,x33442))
% 190.77/190.67 [3363]E(f836(f189(x33631,x33632),x33633),f836(f119(x33631),x33632))
% 190.77/190.67 [3439]E(f836(f836(f144(x34391,x34392),x34393),f103(x34391)),f103(x34392))
% 190.77/190.67 [3480]E(f836(f174(x34801,x34802,x34803),f2(a899)),x34802)
% 190.77/190.67 [3482]E(f836(f836(f171(x34821,x34822),x34823),f103(x34822)),f103(f905(x34821,x34822)))
% 190.77/190.67 [3495]E(f836(f179(f900(x34951)),f159(x34951,x34952,x34953)),x34952)
% 190.77/190.67 [3514]E(f79(x35141,f57(x35141,x35142,x35143)),f836(f58(x35141,x35142),x35143))
% 190.77/190.67 [3518]E(f233(x35181,x35182,f233(x35182,x35181,x35183)),x35183)
% 190.77/190.67 [3539]E(f836(f158(x35391),f159(x35391,x35392,x35393)),f159(x35391,x35392,x35393))
% 190.77/190.67 [3564]E(f130(x35641,x35642,f142(x35641,x35643)),f142(x35641,f130(x35641,x35642,x35643)))
% 190.77/190.67 [3583]E(f836(f241(f900(x35831),f900(x35831)),f156(x35831,x35832,x35833)),f836(f126(x35831,x35832),x35833))
% 190.77/190.67 [3626]E(f836(f836(f141(x36261),x36262),f159(x36261,x36263,x36262)),f159(x36261,f836(a102,x36263),x36262))
% 190.77/190.67 [3658]E(f175(x36581,x36582,x36583,f2(a899)),x36582)
% 190.77/190.67 [3659]E(f17(x36591,x36592,x36593,f2(a89)),x36592)
% 190.77/190.67 [3660]E(f19(x36601,x36602,x36603,f2(a89)),x36602)
% 190.77/190.67 [3668]E(f153(x36681,x36682,x36683,f103(x36681)),f103(x36682))
% 190.77/190.67 [3669]E(f120(x36691,x36692,x36693,f109(x36691)),f109(x36692))
% 190.77/190.67 [3675]E(f836(f836(f154(x36751),f836(f836(f141(x36751),x36752),x36753)),f2(a899)),x36752)
% 190.77/190.67 [3703]E(f55(x37031,x37032,f103(x37031),x37033),f103(f905(x37031,x37032)))
% 190.77/190.67 [3723]P24(x37231,x37232,x37233,f178(f906(x37231,a895)))
% 190.77/190.67 [3825]E(f255(x38251,x38252,x38253),f836(f242(f906(a89,f906(a895,f902(f901(x38251)))),f905(a89,a89)),f37(x38251)))
% 190.77/190.67 [3882]E(f836(f67(x38821,x38822,x38821,x38823),f25(x38821)),x38823)
% 190.77/190.67 [4057]P1(f836(f836(f318(f905(x40571,x40571)),f836(f836(f242(x40571,x40571),x40572),x40572)),f297(x40571,x40573)))
% 190.77/190.67 [4633]~P1(f836(f836(f318(f905(f900(x46331),f900(x46331))),f836(f836(f242(f900(x46331),f900(x46331)),x46332),f103(x46331))),f135(x46331,x46333)))
% 190.77/190.67 [4634]~P1(f836(f836(f318(f905(f900(x46341),f900(x46341))),f836(f836(f242(f900(x46341),f900(x46341)),x46342),f103(x46341))),f137(x46341,x46343)))
% 190.77/190.67 [4635]~P1(f836(f836(f318(f905(f900(x46351),f900(x46351))),f836(f836(f242(f900(x46351),f900(x46351)),x46352),f103(x46351))),f147(x46351,x46353)))
% 190.77/190.67 [4636]~P1(f836(f836(f318(f905(f900(x46361),f900(x46361))),f836(f836(f242(f900(x46361),f900(x46361)),f103(x46361)),x46362)),f135(x46361,x46363)))
% 190.77/190.67 [4637]~P1(f836(f836(f318(f905(f900(x46371),f900(x46371))),f836(f836(f242(f900(x46371),f900(x46371)),f103(x46371)),x46372)),f147(x46371,x46373)))
% 190.77/190.67 [3414]E(f836(f836(f191(x34141),x34142),x34143),f192(x34141,f205(x34142,x34143)))
% 190.77/190.67 [3468]E(f836(f276(x34681,x34682),f836(f276(x34682,x34681),x34683)),x34683)
% 190.77/190.67 [3490]E(f836(f836(f171(x34901,x34902),f103(x34901)),x34903),f103(f905(x34901,x34902)))
% 190.77/190.67 [3493]E(f166(x34931,x34932,f836(f272(a899),x34933)),f836(f836(f165(x34931),x34933),x34932))
% 190.77/190.67 [3511]E(f142(x35111,f836(f126(x35111,x35112),x35113)),f836(f126(x35111,x35112),f142(x35111,x35113)))
% 190.77/190.67 [3512]E(f836(f274(x35121,x35122),f836(f276(x35122,x35121),x35123)),f836(f254(x35122,x35121),x35123))
% 190.77/190.67 [3513]E(f836(f254(x35131,x35132),f836(f276(x35132,x35131),x35133)),f836(f274(x35132,x35131),x35133))
% 190.77/190.67 [3532]E(f836(f126(x35321,x35322),f836(f158(x35321),x35323)),f836(f158(x35321),f836(f126(x35321,x35322),x35323)))
% 190.77/190.67 [3544]E(f836(f836(f128(x35441),x35442),f836(f161(x35441),x35443)),f836(f836(f128(x35441),f836(a102,x35442)),x35443))
% 190.77/190.67 [3560]E(f836(f300(x35601,x35602,x35603),f178(f906(x35601,a895))),f178(f906(x35602,a895)))
% 190.77/190.67 [3561]E(f836(f275(x35611,x35612,x35613),f178(f906(x35611,a895))),f178(f906(x35612,a895)))
% 190.77/190.67 [3562]E(f836(f301(x35621,x35622,x35623),f178(f906(x35622,a895))),f178(f906(x35621,a895)))
% 190.77/190.67 [3563]E(f836(f301(x35631,x35632,x35633),f232(f906(x35632,a895))),f232(f906(x35631,a895)))
% 190.77/190.67 [3589]E(f110(x35891,f116(f901(x35891),x35892,x35893)),f106(x35891,x35892,f110(x35891,x35893)))
% 190.77/190.67 [3591]E(f836(f836(f299(x35911),x35912),f836(f162(x35911),x35913)),f836(f162(x35911),f130(x35911,x35912,x35913)))
% 190.77/190.67 [3679]E(f836(f300(f905(x36791,x36792),x36792,f246(x36791,x36792)),x36793),f836(f274(x36791,x36792),x36793))
% 190.77/190.67 [3680]E(f836(f300(f905(x36801,x36802),x36801,f241(x36801,x36802)),x36803),f836(f254(x36801,x36802),x36803))
% 190.77/190.67 [3695]E(f836(f162(x36951),f159(x36951,f836(a102,x36952),x36953)),f836(f836(f299(x36951),x36953),f178(f906(x36951,a895))))
% 190.77/190.67 [3752]E(f836(f836(f242(x37521,x37522),f836(f241(x37521,x37522),x37523)),f836(f246(x37521,x37522),x37523)),x37523)
% 190.77/190.67 [3759]E(f836(f179(f901(x37591)),f116(x37591,x37592,x37593)),f836(f836(f74(a899),f836(f179(f901(x37591)),x37593)),f836(a102,f2(a899))))
% 190.77/190.67 [3761]E(f836(f836(f247(x37611,x37612,x37611),f16(x37611,x37612)),x37613),f836(f241(x37611,x37612),x37613))
% 190.77/190.67 [3887]E(f836(f67(x38871,x38871,x38872,f25(x38871)),x38873),x38873)
% 190.77/190.67 [3894]E(f836(f836(f124(x38941),f159(x38941,x38942,x38943)),f836(f836(f141(x38941),x38943),f103(x38941))),f836(f836(f141(x38941),x38943),f159(x38941,x38942,x38943)))
% 190.77/190.67 [4066]P1(f836(f836(f224(f906(x40661,a895)),f836(f162(x40661),f836(f126(x40661,x40662),x40663))),f836(f162(x40661),x40663)))
% 190.77/190.67 [4108]P1(f836(f836(f224(f906(x41081,a895)),f836(f162(x41081),f836(f836(f165(x41081),x41082),x41083))),f836(f162(x41081),x41083)))
% 190.77/190.67 [4109]P1(f836(f836(f224(f906(x41091,a895)),f836(f162(x41091),f836(f836(f128(x41091),x41092),x41093))),f836(f162(x41091),x41093)))
% 190.77/190.67 [4113]P1(f836(f836(f224(f906(x41131,a895)),f836(f162(x41131),f166(x41131,x41132,x41133))),f836(f162(x41131),x41132)))
% 190.77/190.67 [4114]P1(f836(f836(f224(f906(x41141,a895)),f836(f162(x41141),f160(x41141,x41142,x41143))),f836(f162(x41141),x41143)))
% 190.77/190.67 [4135]P24(f905(x41351,x41352),f905(x41352,x41351),f836(f247(x41351,x41352,f905(x41352,x41351)),f836(f7(x41352,x41351,f905(x41352,x41351)),f242(x41352,x41351))),x41353)
% 190.77/190.67 [4146]E(f836(f836(f836(f173(f900(x41461),f900(x41461)),f41(a899,x41462,f836(f179(f900(x41461)),x41463))),f157(x41461)),x41463),f836(f836(f836(f173(f900(x41461),f900(x41461)),x41462),f157(x41461)),x41463))
% 190.77/190.67 [4190]P1(f836(f836(f318(f905(f900(x41901),f900(x41901))),f836(f836(f242(f900(x41901),f900(x41901)),x41902),x41902)),f148(x41901,f297(x41901,x41903))))
% 190.77/190.67 [4329]E(f79(f905(x43291,x43292),f836(f836(f18(f905(x43291,x43292),x43292,a895),f836(f836(f8(x43291,f906(x43292,a895),f905(x43291,x43292)),x43293),f241(x43291,x43292))),f246(x43291,x43292))),f79(f905(x43291,x43292),f836(f247(x43291,x43292,a895),x43293)))
% 190.77/190.67 [4330]E(f84(f905(x43301,x43302),f836(f836(f18(f905(x43301,x43302),x43302,a895),f836(f836(f8(x43301,f906(x43302,a895),f905(x43301,x43302)),x43303),f241(x43301,x43302))),f246(x43301,x43302))),f84(f905(x43301,x43302),f836(f247(x43301,x43302,a895),x43303)))
% 190.77/190.67 [4363]E(f836(f836(f278(f905(a899,x43631),x43631),f310(a899,x43631,a230,x43632)),f836(f836(f18(x43631,x43631,f905(a899,x43631)),f836(f836(f8(a899,f906(x43631,f905(a899,x43631)),x43631),f242(a899,x43631)),x43633)),f5(x43631))),f311(x43631,x43633,x43632))
% 190.77/190.67 [4425]E(f836(f248(x44251,x44251,x44252,x44252,f5(x44251),f5(x44252)),x44253),x44253)
% 190.77/190.67 [4498]E(f836(f132(f900(f900(x44981)),f900(f900(x44981)),f124(f900(x44981)),f103(f900(x44981))),f836(f836(f144(f900(x44981),f900(f900(x44981))),f836(f836(f7(f900(x44981),f900(x44981),f900(f900(x44981))),f836(f836(f8(f906(x44981,f900(x44981)),f906(f900(x44981),f900(f900(x44981))),f900(x44981)),f144(x44981,f900(x44981))),f836(f7(x44981,f900(x44981),f900(x44981)),f141(x44981)))),x44982)),f51(x44981,x44983,x44982))),f51(x44981,f836(a102,x44983),x44982))
% 190.77/190.67 [4554]E(f213(a899,f905(x45541,f901(x45541)),f2(a899),f836(f247(x45541,f901(x45541),a899),f836(f836(f7(x45541,a899,f906(f901(x45541),a899)),f836(f836(f8(f906(f901(x45541),f906(a899,a899)),f906(a899,f906(f901(x45541),a899)),x45541),f7(f901(x45541),a899,a899)),f836(f836(f8(f906(f901(x45541),a899),f906(f901(x45541),f906(a899,a899)),x45541),f836(f8(a899,f906(a899,a899),f901(x45541)),f74(a899))),f836(f836(f7(x45541,f906(f901(x45541),a899),f906(f901(x45541),a899)),f836(f836(f8(f906(a899,a899),f906(f906(f901(x45541),a899),f906(f901(x45541),a899)),x45541),f8(a899,a899,f901(x45541))),f836(f836(f8(a899,f906(a899,a899),x45541),f74(a899)),x45542))),f115(x45541,x45542))))),f72(a899))),f836(f125(x45541),x45543)),f836(f115(x45541,x45542),x45543))
% 190.77/190.67 [4562]E(f836(f836(f80(a1,x45621),f208(f836(f836(f67(f905(a1,a1),a1,x45621,f246(a1,a1)),f202(x45621)),x45622),f836(f836(f67(f905(a1,a1),a1,x45621,f246(a1,a1)),f202(x45621)),x45623))),f836(f836(f18(a1,a1,x45621),f836(f836(f8(a1,f906(a1,x45621),a1),f191(x45621)),f836(f836(f18(a1,a1,a1),f836(f836(f8(a1,f906(a1,a1),a1),f74(a1)),f836(f836(f8(a1,a1,a1),f836(f75(a1),f836(f836(f67(f905(a1,a1),a1,x45621,f241(a1,a1)),f202(x45621)),x45622))),f836(f836(f7(a1,a1,a1),f31(a1)),f836(f836(f67(f905(a1,a1),a1,x45621,f246(a1,a1)),f202(x45621)),x45622))))),f836(f836(f8(a1,a1,a1),f836(f75(a1),f836(f836(f67(f905(a1,a1),a1,x45621,f241(a1,a1)),f202(x45621)),x45623))),f836(f836(f7(a1,a1,a1),f31(a1)),f836(f836(f67(f905(a1,a1),a1,x45621,f246(a1,a1)),f202(x45621)),x45623)))))),f5(a1))),f220(x45621,x45622,x45623))
% 190.77/190.67 [4585]~E(f836(f836(f141(x45851),x45852),x45853),x45853)
% 190.77/190.67 [4588]~E(f836(f836(f141(x45881),x45882),x45883),f103(x45881))
% 190.77/190.67 [4594]~E(f836(f836(f299(x45941),x45942),x45943),f178(f906(x45941,a895)))
% 190.77/190.67 [4614]~E(f836(f300(x46141,f906(x46141,a895),x46142),x46143),f836(f298(x46141),x46143))
% 190.77/190.67 [3473]E(f836(f836(f149(x34731,f103(x34731)),x34732),x34733),f103(x34731))
% 190.77/190.67 [3475]E(f836(f131(x34751),f836(f836(f141(x34751),x34752),x34753)),x34752)
% 190.77/190.67 [3476]E(f836(f161(x34761),f836(f836(f141(x34761),x34762),x34763)),x34763)
% 190.77/190.67 [3517]E(f836(f836(f128(x35171),f72(a899)),f836(f836(f141(x35171),x35172),x35173)),x35173)
% 190.77/190.67 [3551]E(f104(x35511,f836(f836(f128(x35511),x35512),x35513)),f836(f836(f128(x35511),x35512),f104(x35511,x35513)))
% 190.77/190.67 [3553]E(f836(f836(f149(x35531,x35532),x35533),f836(f836(f154(x35531),x35532),x35533)),x35532)
% 190.77/190.67 [3573]E(f836(f836(f299(x35731),x35732),f836(f836(f299(x35731),x35732),x35733)),f836(f836(f299(x35731),x35732),x35733))
% 190.77/190.67 [3586]E(f836(f836(f299(x35861),x35862),f836(f162(x35861),x35863)),f836(f162(x35861),f836(f836(f141(x35861),x35862),x35863)))
% 190.77/190.67 [3588]E(f836(f836(f128(x35881),x35882),f836(f161(x35881),x35883)),f836(f161(x35881),f836(f836(f128(x35881),x35882),x35883)))
% 190.77/190.67 [3600]E(f836(f836(f165(x36001),f72(a899)),f836(f836(f141(x36001),x36002),x36003)),f836(f836(f141(x36001),x36002),f103(x36001)))
% 190.77/190.67 [3643]E(f836(f58(x36431,x36432),f836(f836(f299(x36431),x36433),f178(f906(x36431,a895)))),x36433)
% 190.77/190.67 [3685]E(f836(f836(f74(a899),x36851),f836(f836(f74(a899),x36852),x36853)),f836(f836(f74(a899),x36852),f836(f836(f74(a899),x36851),x36853)))
% 190.77/190.67 [3686]E(f836(f836(f74(a1),x36861),f836(f836(f74(a1),x36862),x36863)),f836(f836(f74(a1),x36862),f836(f836(f74(a1),x36861),x36863)))
% 190.77/190.67 [3691]E(f836(f836(f244(x36911,x36912),f178(f906(x36911,a895))),x36913),f178(f906(f905(x36911,x36912),a895)))
% 190.77/190.67 [3715]E(f836(f836(f91(f906(x37151,a895)),x37152),x37153),f836(f836(f91(f906(x37151,a895)),x37153),x37152))
% 190.77/190.67 [3716]E(f836(f836(f92(f906(x37161,a895)),x37162),x37163),f836(f836(f92(f906(x37161,a895)),x37163),x37162))
% 190.77/190.67 [3718]E(f836(f836(f124(x37181),x37182),f836(f836(f141(x37181),x37183),f103(x37181))),f836(f157(x37181),f836(f836(f141(x37181),x37183),x37182)))
% 190.77/190.67 [3719]E(f836(f836(f124(x37191),f836(f158(x37191),x37192)),f836(f158(x37191),x37193)),f836(f158(x37191),f836(f836(f124(x37191),x37193),x37192)))
% 190.77/190.67 [3729]E(f836(f161(x37291),f836(f836(f165(x37291),f836(a102,x37292)),x37293)),f836(f836(f165(x37291),x37292),f836(f161(x37291),x37293)))
% 190.77/190.67 [3737]P1(f836(f836(f318(x37371),x37372),f836(f836(f299(x37371),x37372),x37373)))
% 190.77/190.67 [3741]E(f836(f836(f36(x37411,f906(x37412,a895)),f178(f906(x37411,a895))),x37413),f232(f906(x37412,a895)))
% 190.77/190.67 [3744]E(f836(f275(x37441,x37441,f253(x37441,x37442)),x37443),f836(f836(f92(f906(x37441,a895)),x37442),x37443))
% 190.77/190.67 [3758]E(f836(f179(f900(x37581)),f836(f836(f141(x37581),x37582),x37583)),f836(f836(f74(a899),f836(f179(f900(x37581)),x37583)),f836(a102,f2(a899))))
% 190.77/190.67 [3763]E(f104(x37631,f836(f836(f124(x37631),x37632),f836(f836(f141(x37631),x37633),f103(x37631)))),x37632)
% 190.77/190.67 [3764]E(f134(x37641,f836(f836(f124(x37641),x37642),f836(f836(f141(x37641),x37643),f103(x37641)))),x37643)
% 190.77/190.67 [3772]E(f836(f836(f124(x37721),f836(f836(f165(x37721),x37722),x37723)),f836(f836(f128(x37721),x37722),x37723)),x37723)
% 190.77/190.67 [3781]E(f836(f836(f23(a899),f836(f836(f74(a899),x37811),x37812)),f836(f836(f74(a899),x37813),x37812)),f836(f836(f23(a899),x37811),x37813))
% 190.77/190.67 [3782]E(f836(f836(f23(a899),f836(f836(f74(a899),x37821),x37822)),f836(f836(f74(a899),x37821),x37823)),f836(f836(f23(a899),x37822),x37823))
% 190.77/190.67 [3788]E(f836(f836(f124(x37881),f836(f158(x37881),x37882)),f836(f836(f141(x37881),x37883),f103(x37881))),f836(f158(x37881),f836(f836(f141(x37881),x37883),x37882)))
% 190.77/190.67 [3790]E(f836(f836(f74(a899),f836(f179(f900(x37901)),x37902)),f836(f179(f900(x37901)),x37903)),f836(f179(f900(x37901)),f836(f836(f124(x37901),x37902),x37903)))
% 190.77/190.67 [3793]E(f836(f836(f74(a899),f836(f179(f900(x37931)),x37932)),f836(f179(f900(x37931)),x37933)),f836(f179(f900(x37931)),f163(x37931,x37932,x37933)))
% 190.77/190.67 [3800]E(f836(f836(f91(f906(x38001,a895)),f836(f162(x38001),x38002)),f836(f162(x38001),x38003)),f836(f162(x38001),f836(f836(f124(x38001),x38002),x38003)))
% 190.77/190.67 [3801]E(f41(a899,f836(f836(f75(a899),x38011),x38012),f836(f836(f75(a899),x38011),x38013)),f836(f836(f75(a899),x38011),f41(a899,x38012,x38013)))
% 190.77/190.67 [3813]E(f836(f836(f165(x38131),f836(f836(f23(a899),x38132),f72(a899))),f836(f161(x38131),x38133)),f836(f161(x38131),f836(f836(f165(x38131),x38132),x38133)))
% 190.77/190.67 [3818]E(f836(f836(f92(f906(x38181,a895)),x38182),f836(f73(f906(x38181,a895)),x38183)),f836(f836(f23(f906(x38181,a895)),x38182),x38183))
% 190.77/190.67 [3819]E(f836(f836(f23(f906(x38191,a895)),x38192),f836(f73(f906(x38191,a895)),x38193)),f836(f836(f92(f906(x38191,a895)),x38192),x38193))
% 190.77/190.67 [3841]E(f836(f836(f244(x38411,x38412),x38413),f836(f16(f906(x38412,a895),x38411),f178(f906(x38412,a895)))),f178(f906(f905(x38411,x38412),a895)))
% 190.77/190.67 [3843]E(f836(f836(f23(a899),f836(f836(f75(a899),x38431),x38432)),f836(f836(f75(a899),x38431),x38433)),f836(f836(f75(a899),x38431),f836(f836(f23(a899),x38432),x38433)))
% 190.77/190.67 [3844]E(f836(f836(f74(a899),f836(f836(f75(a899),x38441),x38442)),f836(f836(f75(a899),x38441),x38443)),f836(f836(f75(a899),x38441),f836(f836(f74(a899),x38442),x38443)))
% 190.77/190.67 [3845]E(f836(f836(f23(a1),f836(f836(f75(a1),x38451),x38452)),f836(f836(f75(a1),x38451),x38453)),f836(f836(f75(a1),x38451),f836(f836(f23(a1),x38452),x38453)))
% 190.77/190.67 [3846]E(f836(f836(f74(a1),f836(f836(f75(a1),x38461),x38462)),f836(f836(f75(a1),x38461),x38463)),f836(f836(f75(a1),x38461),f836(f836(f74(a1),x38462),x38463)))
% 190.77/190.67 [3847]E(f836(f836(f75(a1),f836(f836(f234(a1),x38471),x38472)),f836(f836(f234(a1),x38471),x38473)),f836(f836(f234(a1),x38471),f836(f836(f74(a899),x38472),x38473)))
% 190.77/190.67 [3861]E(f836(f836(f35(x38611,f906(x38612,a895)),x38613),f836(f16(f906(x38612,a895),x38611),f178(f906(x38612,a895)))),f178(f906(x38612,a895)))
% 190.77/190.67 [3863]E(f41(a899,f836(f836(f75(a899),x38631),x38632),f836(f836(f75(a899),x38633),x38632)),f836(f836(f75(a899),f41(a899,x38631,x38633)),x38632))
% 190.77/190.67 [3868]E(f41(a1,f836(f836(f23(a1),x38681),f41(a1,x38682,x38683)),x38683),f41(a1,f836(f836(f23(a1),x38681),x38682),x38683))
% 190.77/190.67 [3869]E(f41(a1,f836(f836(f75(a1),x38691),f41(a1,x38692,x38693)),x38693),f41(a1,f836(f836(f75(a1),x38691),x38692),x38693))
% 190.77/190.67 [3870]P1(f836(f836(f224(f906(x38701,a895)),x38702),f836(f836(f299(x38701),x38703),x38702)))
% 190.77/190.67 [3945]E(f836(f836(f36(f906(x39451,a895),f906(x39451,a895)),x39452),f836(f91(f906(x39451,a895)),x39453)),f836(f836(f91(f906(x39451,a895)),x39453),f33(f906(x39451,a895),x39452)))
% 190.77/190.67 [3946]E(f836(f836(f35(f906(x39461,a895),f906(x39461,a895)),x39462),f836(f92(f906(x39461,a895)),x39463)),f836(f836(f92(f906(x39461,a895)),x39463),f32(f906(x39461,a895),x39462)))
% 190.77/190.67 [3958]E(f836(f162(x39581),f836(f836(f836(f173(f900(x39581),f900(x39581)),x39582),f157(x39581)),x39583)),f836(f162(x39581),x39583))
% 190.77/190.67 [3962]E(f836(f836(f165(x39621),f836(f179(f900(x39621)),f167(x39621,x39622,x39623))),x39623),f167(x39621,x39622,x39623))
% 190.77/190.67 [3966]E(f836(f179(f900(x39661)),f836(f836(f836(f173(f900(x39661),f900(x39661)),x39662),f157(x39661)),x39663)),f836(f179(f900(x39661)),x39663))
% 190.77/190.67 [3969]E(f836(f836(f247(x39691,x39692,x39692),f836(f16(f906(x39692,x39692),x39691),f5(x39692))),x39693),f836(f246(x39691,x39692),x39693))
% 190.77/190.67 [3975]E(f41(a1,f836(f836(f23(a1),f41(a1,x39751,x39752)),x39753),x39752),f41(a1,f836(f836(f23(a1),x39751),x39753),x39752))
% 190.77/190.67 [3976]E(f41(a1,f836(f836(f234(a1),f41(a1,x39761,x39762)),x39763),x39762),f41(a1,f836(f836(f234(a1),x39761),x39763),x39762))
% 190.77/190.67 [3979]E(f836(f836(f35(f906(f905(x39791,x39792),a895),f906(x39792,a895)),x39793),f274(x39791,x39792)),f836(f274(x39791,x39792),f32(f906(f905(x39791,x39792),a895),x39793)))
% 190.77/190.67 [3980]E(f836(f836(f35(f906(f905(x39801,x39802),a895),f906(x39801,a895)),x39803),f254(x39801,x39802)),f836(f254(x39801,x39802),f32(f906(f905(x39801,x39802),a895),x39803)))
% 190.77/190.67 [4003]E(f836(f67(x40031,x40031,x40031,x40032),f836(f836(f173(x40031,x40031),x40033),x40032)),f836(f836(f173(x40031,x40031),f836(a102,x40033)),x40032))
% 190.77/190.67 [4021]E(f836(f836(f128(x40211),f836(f836(f23(a899),f836(f179(f900(x40211)),x40212)),x40213)),f836(f158(x40211),x40212)),f836(f158(x40211),f836(f836(f165(x40211),x40213),x40212)))
% 190.77/190.67 [4022]E(f836(f836(f165(x40221),f836(f836(f23(a899),f836(f179(f900(x40221)),x40222)),x40223)),f836(f158(x40221),x40222)),f836(f158(x40221),f836(f836(f128(x40221),x40223),x40222)))
% 190.77/190.67 [4024]E(f836(f836(f74(a899),f836(f155(a899),f836(f836(f144(x40241,a899),x40242),x40243))),f836(f179(f900(x40241)),x40243)),f145(x40241,x40242,x40243))
% 190.77/190.67 [4044]E(f836(f157(x40441),f836(f836(f836(f173(f900(x40441),f900(x40441)),x40442),f157(x40441)),x40443)),f836(f836(f836(f173(f900(x40441),f900(x40441)),f836(a102,x40442)),f157(x40441)),x40443))
% 190.77/190.67 [4058]P1(f836(f836(f224(a899),f836(f179(f900(x40581)),f836(f126(x40581,x40582),x40583))),f836(f179(f900(x40581)),x40583)))
% 190.77/190.67 [4074]E(f836(f836(f91(f906(f906(x40741,a895),a895)),f836(f298(x40741),x40742)),f836(f300(f906(x40741,a895),f906(x40741,a895),f836(f299(x40741),x40743)),f836(f298(x40741),x40742))),f836(f298(x40741),f836(f836(f299(x40741),x40743),x40742)))
% 190.77/190.67 [4105]P1(f836(f836(f224(a899),f836(f179(f900(x41051)),f167(x41051,x41052,x41053))),f836(f179(f900(x41051)),x41053)))
% 190.77/190.67 [4112]E(f836(f254(x41121,x41122),f836(f252(f905(x41121,x41122)),f836(f247(x41121,x41122,a895),x41123))),f836(f252(x41121),f836(f836(f8(f906(x41122,a895),a895,x41121),f81(x41122)),x41123)))
% 190.77/190.67 [4124]E(f836(f300(a899,a899,f836(f836(f7(a899,a899,a899),f74(a899)),x41241)),f293(a899,x41242,x41243)),f293(a899,f836(f836(f74(a899),x41242),x41241),f836(f836(f74(a899),x41243),x41241)))
% 190.77/190.67 [4138]E(f836(f300(a899,a899,f836(f836(f7(a899,a899,a899),f74(a899)),x41381)),f836(f292(a899,x41382),x41383)),f836(f292(a899,f836(f836(f74(a899),x41382),x41381)),f836(f836(f74(a899),x41383),x41381)))
% 190.77/190.67 [4156]E(f836(f836(f171(x41561,x41562),f836(f836(f144(f905(x41561,x41562),x41561),f241(x41561,x41562)),x41563)),f836(f836(f144(f905(x41561,x41562),x41562),f246(x41561,x41562)),x41563)),x41563)
% 190.77/190.67 [4161]E(f836(f836(f74(a899),f836(f836(f75(a899),x41611),f41(a899,f836(f836(f31(a899),x41612),x41611),x41613))),f41(a899,x41612,x41611)),f41(a899,x41612,f836(f836(f75(a899),x41611),x41613)))
% 190.77/190.67 [4174]E(f836(f836(f124(x41741),x41742),f836(f132(f900(x41741),f900(x41741),f124(x41741),f103(x41741)),x41743)),f836(f132(f900(x41741),f900(x41741),f124(x41741),x41742),x41743))
% 190.77/190.67 [4195]P1(f836(f836(f318(f905(x41951,x41951)),f836(f836(f242(x41951,x41951),x41952),x41952)),f836(f836(f173(f905(x41951,x41951),a895),f2(a899)),x41953)))
% 190.77/190.67 [4200]E(f836(f252(x42001),f836(f836(f8(f906(x42002,a895),a895,x42001),f81(x42002)),f836(f7(x42002,x42001,a895),x42003))),f836(f274(x42002,x42001),f836(f252(f905(x42002,x42001)),f836(f247(x42002,x42001,a895),x42003))))
% 190.77/190.67 [4217]E(f836(f836(f91(f906(x42171,a895)),f836(f836(f35(a899,f906(x42171,a895)),f293(a899,f72(a899),x42172)),x42173)),f836(x42173,f2(a899))),f836(f836(f35(a899,f906(x42171,a895)),f836(f291(a899),x42172)),x42173))
% 190.77/190.67 [4232]E(f836(f132(f900(x42321),f900(x42321),f124(x42321),f103(x42321)),f836(f836(f144(f900(x42321),f900(x42321)),f126(x42321,x42322)),x42323)),f836(f126(x42321,x42322),f836(f132(f900(x42321),f900(x42321),f124(x42321),f103(x42321)),x42323)))
% 190.77/190.67 [4236]E(f836(f246(f900(x42361),f900(x42361)),f156(x42361,x42362,x42363)),f836(f126(x42361,f836(f67(a895,a895,x42361,a312),x42362)),x42363))
% 190.77/190.67 [4281]E(f836(f836(f74(a1),f836(f836(f74(a1),f836(f836(f75(a1),x42811),f836(f836(f31(a1),x42812),x42811))),f41(a1,x42812,x42811))),x42813),f836(f836(f74(a1),x42812),x42813))
% 190.77/190.67 [4318]E(f836(f836(f74(a1),f836(f836(f74(a1),f836(f836(f75(a1),f836(f836(f31(a1),x43181),x43182)),x43182)),f41(a1,x43181,x43182))),x43183),f836(f836(f74(a1),x43181),x43183))
% 190.77/190.67 [4344]E(f79(f905(x43441,x43442),f836(f247(x43441,x43442,a895),f836(f836(f8(f906(x43442,f905(x43441,x43442)),f906(x43442,a895),x43441),f836(f8(f905(x43441,x43442),a895,x43442),x43443)),f242(x43441,x43442)))),f79(f905(x43441,x43442),x43443))
% 190.77/190.67 [4345]E(f84(f905(x43451,x43452),f836(f247(x43451,x43452,a895),f836(f836(f8(f906(x43452,f905(x43451,x43452)),f906(x43452,a895),x43451),f836(f8(f905(x43451,x43452),a895,x43452),x43453)),f242(x43451,x43452)))),f84(f905(x43451,x43452),x43453))
% 190.77/190.67 [4372]P1(f836(f836(f224(f906(x43721,a895)),f32(f906(x43721,a895),f836(f836(f92(f906(f906(x43721,a895),a895)),x43722),x43723))),f836(f836(f92(f906(x43721,a895)),f32(f906(x43721,a895),x43722)),f32(f906(x43721,a895),x43723))))
% 190.77/190.67 [4373]E(f836(f158(x43731),f836(f836(f836(f173(f900(x43731),f900(x43731)),f836(f836(f23(a899),f836(f179(f900(x43731)),x43732)),f41(a899,x43733,f836(f179(f900(x43731)),x43732)))),f157(x43731)),x43732)),f836(f836(f836(f173(f900(x43731),f900(x43731)),x43733),f157(x43731)),f836(f158(x43731),x43732)))
% 190.77/190.67 [4410]P1(f836(f836(f224(a899),f836(f179(f900(x44101)),f836(f836(f128(x44101),f836(f179(f900(x44101)),f167(x44101,x44102,x44103))),x44103))),f836(f179(f900(x44101)),x44103)))
% 190.77/190.67 [4627]~P1(f836(f57(x46271,x46272,f178(f906(x46271,a895))),x46273))
% 190.77/190.67 [4632]~P1(f836(f836(f318(f905(x46321,x46321)),f836(f836(f242(x46321,x46321),x46322),x46323)),f143(x46321,f103(f906(x46321,a899)))))
% 190.77/190.67 [3730]E(f836(f179(f900(x37301)),f836(f836(f165(x37301),x37302),x37303)),f836(f836(f228(a899),f836(f179(f900(x37301)),x37303)),x37302))
% 190.77/190.67 [3731]E(f836(f179(f900(x37311)),f836(f836(f128(x37311),x37312),x37313)),f836(f836(f23(a899),f836(f179(f900(x37311)),x37313)),x37312))
% 190.77/190.67 [3757]E(f836(f179(f900(f900(x37571))),f51(x37571,x37572,x37573)),f836(f836(f234(a899),f836(f179(f900(x37571)),x37573)),x37572))
% 190.77/190.67 [3774]E(f836(f836(f31(a899),f836(f836(f31(a899),x37741),x37742)),x37743),f836(f836(f31(a899),x37741),f836(f836(f75(a899),x37742),x37743)))
% 190.77/190.67 [3775]E(f836(f836(f23(a899),f836(f836(f23(a899),x37751),x37752)),x37753),f836(f836(f23(a899),x37751),f836(f836(f74(a899),x37752),x37753)))
% 190.77/190.67 [3776]E(f836(f836(f74(a899),f836(f836(f74(a899),x37761),x37762)),x37763),f836(f836(f74(a899),x37761),f836(f836(f74(a899),x37762),x37763)))
% 190.77/190.67 [3777]E(f836(f836(f74(a1),f836(f836(f74(a1),x37771),x37772)),x37773),f836(f836(f74(a1),x37771),f836(f836(f74(a1),x37772),x37773)))
% 190.77/190.67 [3778]E(f836(f836(f75(a899),f836(f836(f75(a899),x37781),x37782)),x37783),f836(f836(f75(a899),x37781),f836(f836(f75(a899),x37782),x37783)))
% 190.77/190.67 [3779]E(f836(f836(f75(a1),f836(f836(f75(a1),x37791),x37792)),x37793),f836(f836(f75(a1),x37791),f836(f836(f75(a1),x37792),x37793)))
% 190.77/190.67 [3780]E(f836(f836(f234(a1),f836(f836(f234(a1),x37801),x37802)),x37803),f836(f836(f234(a1),x37801),f836(f836(f75(a899),x37802),x37803)))
% 190.77/190.67 [3799]E(f152(x37991,f836(f836(f141(f906(x37991,a895)),x37992),x37993)),f164(x37991,x37992,f152(x37991,x37993)))
% 190.77/190.67 [3842]E(f836(f836(f23(a899),f836(f836(f23(a899),x38421),x38422)),x38423),f836(f836(f23(a899),f836(f836(f23(a899),x38421),x38423)),x38422))
% 190.77/190.67 [3850]E(f836(f836(f92(f906(x38501,a895)),x38502),f836(f836(f23(f906(x38501,a895)),x38503),x38502)),f178(f906(x38501,a895)))
% 190.77/190.67 [3854]E(f836(f836(f144(a899,x38541),f836(f16(x38541,a899),x38542)),f129(a899,f836(f292(a899,f2(a899)),x38543))),f159(x38541,x38543,x38542))
% 190.77/190.67 [3892]E(f33(f906(x38921,a895),f836(f836(f299(f906(x38921,a895)),x38922),x38923)),f836(f836(f92(f906(x38921,a895)),x38922),f33(f906(x38921,a895),x38923)))
% 190.77/190.67 [3893]E(f32(f906(x38931,a895),f836(f836(f299(f906(x38931,a895)),x38932),x38933)),f836(f836(f91(f906(x38931,a895)),x38932),f32(f906(x38931,a895),x38933)))
% 190.77/190.67 [3895]E(f159(x38951,f836(f179(f900(x38951)),f836(f126(x38951,f836(a314,x38952)),x38953)),x38952),f836(f126(x38951,f836(a314,x38952)),x38953))
% 190.77/190.67 [3897]E(f836(f836(f23(a899),f836(f836(f75(a899),x38971),x38972)),f836(f836(f75(a899),x38973),x38972)),f836(f836(f75(a899),f836(f836(f23(a899),x38971),x38973)),x38972))
% 190.77/190.67 [3898]E(f836(f836(f74(a899),f836(f836(f75(a899),x38981),x38982)),f836(f836(f75(a899),x38983),x38982)),f836(f836(f75(a899),f836(f836(f74(a899),x38981),x38983)),x38982))
% 190.77/190.67 [3899]E(f836(f836(f23(a1),f836(f836(f75(a1),x38991),x38992)),f836(f836(f75(a1),x38993),x38992)),f836(f836(f75(a1),f836(f836(f23(a1),x38991),x38993)),x38992))
% 190.77/190.67 [3900]E(f836(f836(f74(a1),f836(f836(f75(a1),x39001),x39002)),f836(f836(f75(a1),x39003),x39002)),f836(f836(f75(a1),f836(f836(f74(a1),x39001),x39003)),x39002))
% 190.77/190.67 [3902]E(f836(f836(f228(a899),f836(f836(f23(a899),x39021),x39022)),f836(f836(f23(a899),x39023),x39022)),f836(f836(f23(a899),f836(f836(f228(a899),x39021),x39023)),x39022))
% 190.77/190.67 [3922]E(f836(f836(f92(f906(f900(x39221),a895)),f150(x39221,x39222)),f150(x39221,x39223)),f150(x39221,f836(f836(f92(f906(x39221,a895)),x39222),x39223)))
% 190.77/190.67 [3925]E(f836(f836(f91(f906(x39251,a895)),x39252),f836(f836(f23(f906(x39251,a895)),x39253),x39252)),f836(f836(f91(f906(x39251,a895)),x39252),x39253))
% 190.77/190.67 [3926]E(f836(f836(f91(f906(x39261,a895)),x39262),f836(f836(f91(f906(x39261,a895)),x39262),x39263)),f836(f836(f91(f906(x39261,a895)),x39262),x39263))
% 190.77/190.67 [3927]E(f836(f836(f92(f906(x39271,a895)),x39272),f836(f836(f92(f906(x39271,a895)),x39272),x39273)),f836(f836(f92(f906(x39271,a895)),x39272),x39273))
% 190.77/190.67 [3939]E(f836(f836(f279(x39391,x39392,x39392),x39393),f297(x39392,f178(f906(f905(x39392,x39392),a895)))),x39393)
% 190.77/190.67 [3942]E(f836(f836(f91(f906(x39421,a895)),f836(f836(f299(x39421),x39422),f178(f906(x39421,a895)))),x39423),f836(f836(f299(x39421),x39422),x39423))
% 190.77/190.67 [3961]E(f836(f836(f23(a899),f836(f836(f23(a899),f836(a102,x39611)),x39612)),f836(a102,x39613)),f836(f836(f23(a899),f836(f836(f23(a899),x39611),x39612)),x39613))
% 190.77/190.67 [3988]E(f836(f836(f92(f906(f906(x39881,a895),a895)),f836(f298(x39881),x39882)),f836(f298(x39881),x39883)),f836(f298(x39881),f836(f836(f92(f906(x39881,a895)),x39882),x39883)))
% 190.77/190.67 [3991]E(f836(f836(f91(f906(x39911,a895)),f836(f73(f906(x39911,a895)),x39912)),x39913),f836(f73(f906(x39911,a895)),f836(f836(f23(f906(x39911,a895)),x39912),x39913)))
% 190.77/190.67 [4000]E(f836(f836(f299(x40001),x40002),f836(f836(f23(f906(x40001,a895)),x40003),f836(f836(f299(x40001),x40002),f178(f906(x40001,a895))))),f836(f836(f299(x40001),x40002),x40003))
% 190.77/190.67 [4010]P1(f836(f836(f224(f906(x40101,a895)),x40102),f836(f836(f91(f906(x40101,a895)),x40103),x40102)))
% 190.77/190.67 [4011]P1(f836(f836(f224(f906(x40111,a895)),x40112),f836(f836(f91(f906(x40111,a895)),x40112),x40113)))
% 190.77/190.67 [4015]E(f836(f836(f92(f906(x40151,a895)),f836(f73(f906(x40151,a895)),x40152)),f836(f73(f906(x40151,a895)),x40153)),f836(f73(f906(x40151,a895)),f836(f836(f91(f906(x40151,a895)),x40152),x40153)))
% 190.77/190.67 [4016]E(f836(f836(f91(f906(x40161,a895)),f836(f73(f906(x40161,a895)),x40162)),f836(f73(f906(x40161,a895)),x40163)),f836(f73(f906(x40161,a895)),f836(f836(f92(f906(x40161,a895)),x40162),x40163)))
% 190.77/190.67 [4030]P1(f836(f836(f224(f906(x40301,a895)),f836(f162(x40301),x40302)),f836(f162(x40301),f836(f836(f141(x40301),x40303),x40302))))
% 190.77/190.67 [4042]E(f836(f836(f91(f906(x40421,a895)),f836(f836(f23(f906(x40421,a895)),x40422),x40423)),f836(f836(f92(f906(x40421,a895)),x40422),x40423)),x40422)
% 190.77/190.67 [4092]E(f836(f836(f9(x40921,a1),f836(f836(f8(a899,a1,x40921),f90(a1)),x40922)),x40923),f836(f90(a1),f836(f836(f9(x40921,a899),x40922),x40923)))
% 190.77/190.67 [4093]E(f836(f836(f6(x40931,a1),f836(f836(f8(a899,a1,x40931),f90(a1)),x40932)),x40933),f836(f90(a1),f836(f836(f6(x40931,a899),x40932),x40933)))
% 190.77/190.67 [4140]E(f836(f836(f124(x41401),f167(x41401,x41402,x41403)),f836(f836(f128(x41401),f836(f179(f900(x41401)),f167(x41401,x41402,x41403))),x41403)),x41403)
% 190.77/190.67 [4144]E(f836(f73(f906(f905(x41441,x41442),a895)),f836(f836(f244(x41441,x41442),x41443),f836(f16(f906(x41442,a895),x41441),f232(f906(x41442,a895))))),f836(f836(f244(x41441,x41442),f836(f73(f906(x41441,a895)),x41443)),f836(f16(f906(x41442,a895),x41441),f232(f906(x41442,a895)))))
% 190.77/190.67 [4145]E(f836(f73(f906(f905(x41451,x41452),a895)),f836(f836(f244(x41451,x41452),f232(f906(x41451,a895))),f836(f16(f906(x41452,a895),x41451),x41453))),f836(f836(f244(x41451,x41452),f232(f906(x41451,a895))),f836(f16(f906(x41452,a895),x41451),f836(f73(f906(x41452,a895)),x41453))))
% 190.77/190.67 [4196]E(f836(f836(f35(f906(x41961,a895),f906(x41961,a895)),x41962),f836(f836(f7(f906(x41961,a895),f906(x41961,a895),f906(x41961,a895)),f92(f906(x41961,a895))),x41963)),f836(f836(f92(f906(x41961,a895)),f32(f906(x41961,a895),x41962)),x41963))
% 190.77/190.67 [4202]E(f836(f132(f900(x42021),f900(x42021),f124(x42021),f103(x42021)),f836(f836(f141(f900(x42021)),x42022),x42023)),f836(f836(f124(x42021),x42022),f836(f132(f900(x42021),f900(x42021),f124(x42021),f103(x42021)),x42023)))
% 190.77/190.67 [4223]E(f836(f836(f299(f906(x42231,a895)),f836(f275(x42231,x42231,x42232),f836(f836(f299(x42231),x42233),f178(f906(x42231,a895))))),f178(f906(f906(x42231,a895),a895))),f836(f836(f56(x42231),f836(f836(f299(x42231),x42233),f178(f906(x42231,a895)))),x42232))
% 190.77/190.67 [4233]E(f836(f836(f74(a899),f836(f836(f75(a899),x42331),f836(f836(f31(a899),x42332),x42333))),f836(f836(f31(a899),f836(f836(f75(a899),x42331),f41(a899,x42332,x42333))),x42333)),f836(f836(f31(a899),f836(f836(f75(a899),x42331),x42332)),x42333))
% 190.77/190.67 [4234]E(f836(f836(f74(a1),f836(f836(f75(a1),x42341),f836(f836(f31(a1),x42342),x42343))),f836(f836(f31(a1),f836(f836(f75(a1),x42341),f41(a1,x42342,x42343))),x42343)),f836(f836(f31(a1),f836(f836(f75(a1),x42341),x42342)),x42343))
% 190.77/190.67 [4266]E(f836(f836(f23(f906(x42661,a895)),f836(f162(x42661),x42662)),f836(f836(f299(x42661),x42663),f178(f906(x42661,a895)))),f836(f162(x42661),f836(f126(x42661,f836(f836(f8(a895,a895,x42661),a312),f836(a314,x42663))),x42662)))
% 190.77/190.67 [4316]E(f836(f836(f124(x43161),f836(f132(f900(x43161),f900(x43161),f124(x43161),f103(x43161)),x43162)),f836(f132(f900(x43161),f900(x43161),f124(x43161),f103(x43161)),x43163)),f836(f132(f900(x43161),f900(x43161),f124(x43161),f103(x43161)),f836(f836(f124(f900(x43161)),x43162),x43163)))
% 190.77/190.67 [4319]E(f836(f836(f242(f900(x43191),f900(x43191)),f836(f126(x43191,x43192),x43193)),f836(f126(x43191,f836(f67(a895,a895,x43191,a312),x43192)),x43193)),f156(x43191,x43192,x43193))
% 190.77/190.67 [4322]E(f836(f836(f74(a899),f836(f836(f74(a899),f836(f836(f31(a899),x43221),x43222)),f836(f836(f31(a899),x43223),x43222))),f836(f836(f31(a899),f836(f836(f74(a899),f41(a899,x43221,x43222)),f41(a899,x43223,x43222))),x43222)),f836(f836(f31(a899),f836(f836(f74(a899),x43221),x43223)),x43222))
% 190.77/190.67 [4323]E(f836(f836(f74(a1),f836(f836(f74(a1),f836(f836(f31(a1),x43231),x43232)),f836(f836(f31(a1),x43233),x43232))),f836(f836(f31(a1),f836(f836(f74(a1),f41(a1,x43231,x43232)),f41(a1,x43233,x43232))),x43232)),f836(f836(f31(a1),f836(f836(f74(a1),x43231),x43233)),x43232))
% 190.77/190.67 [4376]E(f836(f836(f92(f906(f900(x43761),a895)),f836(f836(f7(f900(x43761),f906(f900(x43761),a895),a895),f318(f900(x43761))),f151(x43761,x43762))),f836(f836(f7(f900(x43761),f906(f900(x43761),a895),a895),f318(f900(x43761))),f151(x43761,x43763))),f150(x43761,f836(f836(f92(f906(x43761,a895)),f836(f836(f7(x43761,f906(x43761,a895),a895),f318(x43761)),x43762)),f836(f836(f7(x43761,f906(x43761,a895),a895),f318(x43761)),x43763))))
% 190.77/190.67 [4388]E(f836(f252(x43881),f836(f836(f18(x43881,a895,a895),f836(f836(f8(a895,f906(a895,a895),x43881),a316),f836(f836(f7(x43881,x43881,a895),a314),x43882))),f836(f836(f7(x43881,f906(x43881,a895),a895),f318(x43881)),x43883))),f836(f836(f299(x43881),x43882),x43883))
% 190.77/190.67 [4408]E(f836(f836(f80(f900(f900(x44081)),f900(f900(x44081))),f50(x44081,x44082)),f836(f836(f18(f900(f900(x44081)),f900(f900(x44081)),f900(f900(x44081))),f836(f836(f8(f900(f900(x44081)),f906(f900(f900(x44081)),f900(f900(x44081))),f900(f900(x44081))),f124(f900(x44081))),f836(f144(f900(x44081),f900(x44081)),f836(f141(x44081),x44083)))),f5(f900(f900(x44081))))),f50(x44081,f836(f836(f141(x44081),x44083),x44082)))
% 190.77/190.67 [4411]E(f836(f252(x44111),f836(f836(f18(x44111,a895,a895),f836(f836(f8(a895,f906(a895,a895),x44111),a316),f836(f836(f7(x44111,f906(x44111,a895),a895),f318(x44111)),x44112))),f836(f836(f7(x44111,f906(x44111,a895),a895),f318(x44111)),x44113))),f836(f836(f91(f906(x44111,a895)),x44112),x44113))
% 190.77/190.67 [4412]E(f836(f252(x44121),f836(f836(f18(x44121,a895,a895),f836(f836(f8(a895,f906(a895,a895),x44121),a315),f836(f836(f7(x44121,f906(x44121,a895),a895),f318(x44121)),x44122))),f836(f836(f7(x44121,f906(x44121,a895),a895),f318(x44121)),x44123))),f836(f836(f92(f906(x44121,a895)),x44122),x44123))
% 190.77/190.67 [4501]E(f836(f836(f35(x45011,f906(f906(x45011,a895),a895)),x45012),f836(f836(f7(x45011,f906(f906(x45011,a895),a895),f906(f906(x45011,a895),a895)),f836(f836(f8(f906(x45011,a895),f906(f906(f906(x45011,a895),a895),f906(f906(x45011,a895),a895)),x45011),f299(f906(x45011,a895))),f836(f836(f8(f906(x45011,a895),f906(x45011,a895),x45011),f275(x45011,x45011,x45013)),f836(f836(f7(x45011,f906(x45011,a895),f906(x45011,a895)),f299(x45011)),f178(f906(x45011,a895)))))),f178(f906(f906(x45011,a895),a895)))),f836(f836(f56(x45011),x45012),x45013))
% 190.77/190.67 [4503]E(f836(f836(f191(x45031),f836(f836(f75(a1),f836(f836(f67(f905(a1,a1),a1,x45031,f241(a1,a1)),f202(x45031)),x45032)),f836(f836(f67(f905(a1,a1),a1,x45031,f241(a1,a1)),f202(x45031)),x45033))),f836(f836(f75(a1),f836(f836(f67(f905(a1,a1),a1,x45031,f246(a1,a1)),f202(x45031)),x45032)),f836(f836(f67(f905(a1,a1),a1,x45031,f246(a1,a1)),f202(x45031)),x45033))),f218(x45031,x45032,x45033))
% 190.77/190.67 [4506]E(f836(f252(f900(x45061)),f836(f836(f18(f900(x45061),a895,a895),f836(f836(f8(a895,f906(a895,a895),f900(x45061)),a315),f836(f836(f7(f900(x45061),a899,a895),f836(f836(f8(a899,f906(a899,a895),f900(x45061)),a314),f179(f900(x45061)))),x45062))),f836(f836(f7(f900(x45061),f906(x45061,a895),a895),f836(f836(f8(f906(x45061,a895),f906(f906(x45061,a895),a895),f900(x45061)),f224(f906(x45061,a895))),f162(x45061))),f836(f162(x45061),x45063)))),f836(f162(f900(x45061)),f51(x45061,x45062,x45063)))
% 190.77/190.67 [3915]E(f41(a899,f836(f836(f74(a899),f836(f836(f75(a899),x39151),x39152)),x39153),x39152),f41(a899,x39153,x39152))
% 190.77/190.67 [3960]E(f129(a899,f836(f292(a899,f836(f836(f74(a899),x39601),x39602)),x39603)),f836(f836(f128(a899),x39602),f129(a899,f836(f292(a899,x39601),x39603))))
% 190.77/190.67 [3999]E(f836(f836(f74(a1),f836(f90(a1),x39991)),f836(f836(f74(a1),f836(f90(a1),x39992)),x39993)),f836(f836(f74(a1),f836(f90(a1),f836(f836(f74(a899),x39991),x39992))),x39993))
% 190.77/190.67 [4006]E(f836(f836(f23(f906(x40061,a895)),f836(f836(f23(f906(x40061,a895)),x40062),x40063)),x40063),f836(f836(f23(f906(x40061,a895)),x40062),x40063))
% 190.77/190.67 [4007]E(f836(f836(f91(f906(x40071,a895)),f836(f836(f23(f906(x40071,a895)),x40072),x40073)),x40073),f836(f836(f91(f906(x40071,a895)),x40072),x40073))
% 190.77/190.67 [4031]E(f836(f836(f279(x40311,x40311,x40312),f297(x40311,f178(f906(f905(x40311,x40311),a895)))),x40313),x40313)
% 190.77/190.67 [4039]E(f836(f836(f91(f906(x40391,a895)),f836(f271(x40391),x40392)),f836(f271(x40391),x40393)),f836(f271(x40391),f836(f836(f91(f906(f905(x40391,x40391),a895)),x40392),x40393)))
% 190.77/190.67 [4049]E(f256(x40491,f836(f836(f141(f905(a89,x40491)),f836(f836(f242(a89,x40491),f2(a89)),x40492)),x40493)),f256(x40491,x40493))
% 190.77/190.67 [4051]E(f836(f836(f92(f906(x40511,a895)),f33(f906(x40511,a895),x40512)),f33(f906(x40511,a895),x40513)),f33(f906(x40511,a895),f836(f836(f91(f906(f906(x40511,a895),a895)),x40512),x40513)))
% 190.77/190.67 [4052]E(f836(f836(f91(f906(x40521,a895)),f32(f906(x40521,a895),x40522)),f32(f906(x40521,a895),x40523)),f32(f906(x40521,a895),f836(f836(f91(f906(f906(x40521,a895),a895)),x40522),x40523)))
% 190.77/190.67 [4089]E(f836(f836(f279(x40891,x40891,x40891),f836(f836(f173(f905(x40891,x40891),a895),x40892),x40893)),x40893),f836(f836(f173(f905(x40891,x40891),a895),f836(a102,x40892)),x40893))
% 190.77/190.67 [4132]P1(f836(f836(f224(f906(x41321,a895)),f836(f836(f23(f906(x41321,a895)),x41322),x41323)),x41322))
% 190.77/190.67 [4133]P1(f836(f836(f224(f906(x41331,a895)),f836(f836(f92(f906(x41331,a895)),x41332),x41333)),x41333))
% 190.77/190.67 [4134]P1(f836(f836(f224(f906(x41341,a895)),f836(f836(f92(f906(x41341,a895)),x41342),x41343)),x41342))
% 190.77/190.67 [4158]E(f297(x41581,f836(f836(f91(f906(f905(x41581,x41581),a895)),f297(x41581,x41582)),f297(x41581,x41583))),f297(x41581,f836(f836(f91(f906(f905(x41581,x41581),a895)),x41582),x41583)))
% 190.77/190.67 [4162]E(f32(f906(x41621,a895),f836(f836(f299(f906(x41621,a895)),x41622),f836(f836(f299(f906(x41621,a895)),x41623),f178(f906(f906(x41621,a895),a895))))),f836(f836(f91(f906(x41621,a895)),x41622),x41623))
% 190.77/190.67 [4163]E(f33(f906(x41631,a895),f836(f836(f299(f906(x41631,a895)),x41632),f836(f836(f299(f906(x41631,a895)),x41633),f178(f906(f906(x41631,a895),a895))))),f836(f836(f92(f906(x41631,a895)),x41632),x41633))
% 190.77/190.67 [4168]E(f836(f836(f279(x41681,x41681,x41681),f836(f836(f173(f905(x41681,x41681),a895),x41682),x41683)),x41683),f836(f836(f279(x41681,x41681,x41681),x41683),f836(f836(f173(f905(x41681,x41681),a895),x41682),x41683)))
% 190.77/190.67 [4237]E(f836(f836(f91(f906(x42371,a895)),f836(f252(x42371),f836(f836(f7(x42371,x42371,a895),a314),x42372))),x42373),f836(f836(f299(x42371),x42372),x42373))
% 190.77/190.67 [4239]E(f836(a95,f836(f836(f9(x42391,a1),f836(f836(f8(a899,a1,x42391),f90(a1)),x42392)),x42393)),f836(f836(f9(x42391,a899),x42392),x42393))
% 190.77/190.67 [4240]E(f836(a95,f836(f836(f6(x42401,a1),f836(f836(f8(a899,a1,x42401),f90(a1)),x42402)),x42403)),f836(f836(f6(x42401,a899),x42402),x42403))
% 190.77/190.67 [4313]E(f836(f146(f900(x43131),x43131,f836(f161(x43131),x43132),f836(f16(f906(f900(x43131),f900(x43131)),x43131),f836(f836(f7(f900(x43131),f900(x43131),f900(x43131)),f124(x43131)),x43132))),x43133),f836(f161(x43131),f836(f836(f124(x43131),x43133),x43132)))
% 190.77/190.67 [4341]P1(f836(f836(f224(f906(f906(x43411,a895),a895)),f836(f836(f91(f906(f906(x43411,a895),a895)),f836(f298(x43411),x43412)),f836(f298(x43411),x43413))),f836(f298(x43411),f836(f836(f91(f906(x43411,a895)),x43412),x43413))))
% 190.77/190.67 [4430]E(f836(f252(x44301),f836(f836(f18(x44301,a895,a895),f836(f836(f8(a895,f906(a895,a895),x44301),a315),f836(f836(f7(x44301,f906(x44301,a895),a895),f318(x44301)),x44302))),f836(f836(f8(a895,a895,x44301),a312),f836(f836(f7(x44301,f906(x44301,a895),a895),f318(x44301)),x44303)))),f836(f836(f23(f906(x44301,a895)),x44302),x44303))
% 190.77/190.67 [4454]E(f836(f30(a899),f836(f252(a899),f836(f836(f18(a899,a895,a895),f836(f836(f8(a895,f906(a895,a895),a899),a315),f836(f836(f7(a899,a899,a895),f225(a899)),f836(f179(f900(x44541)),x44542)))),f836(f836(f8(x44541,a895,a899),x44543),f836(f154(x44541),x44542))))),f836(f179(f900(x44541)),f836(f126(x44541,x44543),x44542)))
% 190.77/190.67 [4456]E(f836(f179(f900(x44561)),f166(x44561,x44562,x44563)),f836(f30(a899),f836(f252(a899),f836(f836(f18(a899,a895,a895),f836(f836(f8(a895,f906(a895,a895),a899),a315),f836(f836(f7(a899,a899,a895),f225(a899)),f836(f179(f900(x44561)),x44562)))),f836(f836(f7(a899,f906(a899,a895),a895),f318(a899)),x44563)))))
% 190.77/190.67 [4552]E(f836(f836(f92(f906(f905(f900(x45521),f900(x45521)),a895)),f836(f300(f905(f905(x45521,f900(x45521)),f905(x45521,f900(x45521))),f905(f900(x45521),f900(x45521)),f248(f905(x45521,f900(x45521)),f900(x45521),f905(x45521,f900(x45521)),f900(x45521),f836(f247(x45521,f900(x45521),f900(x45521)),f141(x45521)),f836(f247(x45521,f900(x45521),f900(x45521)),f141(x45521)))),f310(x45521,f900(x45521),x45522,f836(f133(x45521,x45522),x45523)))),f836(f252(f905(f900(x45521),f900(x45521))),f836(f247(f900(x45521),f900(x45521),a895),f836(f836(f7(f900(x45521),f906(f900(x45521),a895),f906(f900(x45521),a895)),f836(f836(f8(f906(a895,a895),f906(f906(f900(x45521),a895),f906(f900(x45521),a895)),f900(x45521)),f8(a895,a895,f900(x45521))),f836(f836(f8(a895,f906(a895,a895),f900(x45521)),a315),f836(f836(f7(f900(x45521),a899,a895),f836(f836(f8(a899,f906(a899,a895),f900(x45521)),a314),f179(f900(x45521)))),f836(a102,x45523))))),f836(f836(f7(f900(x45521),a899,a895),f836(f836(f8(a899,f906(a899,a895),f900(x45521)),a314),f179(f900(x45521)))),f836(a102,x45523)))))),f836(f133(x45521,x45522),f836(a102,x45523)))
% 190.77/190.67 [4053]E(f41(a899,f836(a102,f836(f836(f74(a899),f836(f836(f75(a899),x40531),x40532)),x40533)),x40532),f41(a899,f836(a102,x40533),x40532))
% 190.77/190.67 [4299]E(f836(f252(x42991),f836(f836(f18(x42991,a895,a895),f836(f836(f8(a895,f906(a895,a895),x42991),a315),x42992)),x42993)),f836(f836(f92(f906(x42991,a895)),f836(f252(x42991),x42992)),f836(f252(x42991),x42993)))
% 190.77/190.67 [4300]E(f836(f252(x43001),f836(f836(f18(x43001,a895,a895),f836(f836(f8(a895,f906(a895,a895),x43001),a316),x43002)),x43003)),f836(f836(f91(f906(x43001,a895)),f836(f252(x43001),x43002)),f836(f252(x43001),x43003)))
% 190.77/190.67 [4302]E(f836(f836(f124(x43021),f836(f836(f128(x43021),f41(a899,x43022,f836(f179(f900(x43021)),x43023))),x43023)),f836(f836(f165(x43021),f41(a899,x43022,f836(f179(f900(x43021)),x43023))),x43023)),f836(f836(f836(f173(f900(x43021),f900(x43021)),x43022),f157(x43021)),x43023))
% 190.77/190.67 [4308]E(f836(f252(x43081),f836(f836(f18(x43081,a895,a895),f836(f836(f8(a895,f906(a895,a895),x43081),a319),x43082)),x43083)),f836(f836(f91(f906(x43081,a895)),f836(f73(f906(x43081,a895)),f836(f252(x43081),x43082))),f836(f252(x43081),x43083)))
% 190.77/190.67 [4324]E(f836(f836(f74(a899),f836(f179(f900(x43241)),f836(f126(x43241,x43242),x43243))),f836(f179(f900(x43241)),f836(f126(x43241,f836(f836(f8(a895,a895,x43241),a312),x43242)),x43243))),f836(f179(f900(x43241)),x43243))
% 190.77/190.67 [4347]P1(f836(f836(f224(f906(x43471,a895)),f836(f836(f91(f906(x43471,a895)),f33(f906(x43471,a895),x43472)),f33(f906(x43471,a895),x43473))),f33(f906(x43471,a895),f836(f836(f92(f906(f906(x43471,a895),a895)),x43472),x43473))))
% 190.77/190.67 [4361]E(f836(f162(x43611),f836(f126(x43611,f836(f836(f8(a895,a895,x43611),a312),f836(f836(f7(x43611,x43611,a895),a314),x43612))),x43613)),f836(f836(f23(f906(x43611,a895)),f836(f162(x43611),x43613)),f836(f836(f299(x43611),x43612),f178(f906(x43611,a895)))))
% 190.77/190.67 [4370]P1(f836(f836(f224(f906(f905(x43701,x43701),a895)),f836(f836(f91(f906(f905(x43701,x43701),a895)),f297(x43701,x43702)),f297(x43701,x43703))),f297(x43701,f836(f836(f91(f906(f905(x43701,x43701),a895)),x43702),x43703))))
% 190.77/190.67 [4393]E(f836(f836(f75(a899),f836(a102,f836(a102,f2(a899)))),f836(f836(f6(a899,a899),f836(f836(f8(a899,a899,a899),f836(f74(a899),x43931)),f836(f836(f7(a899,a899,a899),f75(a899)),x43932))),f836(f272(a899),x43933))),f836(f836(f75(a899),x43933),f836(f836(f74(a899),x43931),f836(f836(f74(a899),x43931),f836(f836(f75(a899),f836(f836(f23(a899),x43933),f72(a899))),x43932)))))
% 190.77/190.67 [4403]E(f836(f252(x44031),f836(f836(f18(x44031,a895,a895),f836(f836(f8(a895,f906(a895,a895),x44031),a315),f836(f836(f7(x44031,f906(x44031,a895),a895),f318(x44031)),f836(f162(x44031),x44032)))),x44033)),f836(f162(x44031),f836(f126(x44031,x44033),x44032)))
% 190.77/190.67 [4551]E(f836(f252(x45511),f836(f836(f8(f906(a899,a895),a895,x45511),f81(a899)),f836(f836(f7(x45511,f906(a899,a895),f906(a899,a895)),f836(f836(f8(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),x45511),f18(a899,a895,a895)),f836(f836(f8(f906(a899,a895),f906(a899,f906(a895,a895)),x45511),f836(f8(a895,f906(a895,a895),a899),a315)),f836(f836(f7(x45511,f906(a899,x45511),f906(a899,a895)),f836(f836(f8(f906(x45511,a895),f906(f906(a899,x45511),f906(a899,a895)),x45511),f8(x45511,a895,a899)),a314)),f836(f154(x45511),x45512))))),f836(f836(f18(a899,a895,a895),f836(f836(f8(a895,f906(a895,a895),a899),a315),f836(f836(f7(a899,a899,a895),f225(a899)),f836(f179(f900(x45511)),x45512)))),f836(f836(f7(a899,f906(a899,a895),a895),f318(a899)),x45513))))),f836(f162(x45511),f166(x45511,x45512,x45513)))
% 190.77/190.67 [4443]E(f836(f252(x44431),f836(f836(f18(x44431,a895,a895),f836(f836(f8(a895,f906(a895,a895),x44431),a319),f836(f836(f8(a895,a895,x44431),a312),f836(f836(f7(x44431,x44431,a895),a314),x44432)))),x44433)),f836(f836(f299(x44431),x44432),f836(f252(x44431),x44433)))
% 190.77/190.67 [4475]E(f836(f836(f144(f905(x44751,a899),x44751),f241(x44751,a899)),f836(f126(f905(x44751,a899),f836(f836(f7(f905(x44751,a899),f906(a899,a895),a895),f836(f836(f8(a899,f906(f906(a899,a895),a895),f905(x44751,a899)),f318(a899)),f246(x44751,a899))),x44752)),f836(f836(f171(x44751,a899),x44753),f129(a899,f836(f292(a899,f2(a899)),f836(f179(f900(x44751)),x44753)))))),f166(x44751,x44753,x44752))
% 190.77/190.67 [4502]E(f836(f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f836(f836(f6(a899,a1),f836(f836(f8(a1,a1,a899),f836(f74(a1),x45021)),f836(f836(f7(a899,a1,a1),f836(f836(f8(a1,f906(a1,a1),a899),f75(a1)),f90(a1))),x45022))),f836(f272(a899),x45023))),f836(f836(f75(a1),f836(f90(a1),x45023)),f836(f836(f74(a1),x45021),f836(f836(f74(a1),x45021),f836(f836(f75(a1),f836(f90(a1),f836(f836(f23(a899),x45023),f72(a899)))),x45022)))))
% 190.77/190.67 [4544]E(f836(f252(f905(x45441,x45442)),f836(f247(x45441,x45442,a895),f836(f836(f7(x45441,f906(f905(x45442,x45441),a895),f906(x45442,a895)),f836(f836(f8(f906(x45442,f906(f906(f905(x45442,x45441),a895),a895)),f906(f906(f905(x45442,x45441),a895),f906(x45442,a895)),x45441),f7(x45442,f906(f905(x45442,x45441),a895),a895)),f836(f836(f8(f906(x45442,f905(x45442,x45441)),f906(x45442,f906(f906(f905(x45442,x45441),a895),a895)),x45441),f836(f8(f905(x45442,x45441),f906(f906(f905(x45442,x45441),a895),a895),x45442),f318(f905(x45442,x45441)))),f836(f7(x45442,x45441,f905(x45442,x45441)),f242(x45442,x45441))))),x45443))),f836(f276(x45442,x45441),x45443))
% 190.77/190.67 [4564]E(f836(f252(f900(x45641)),f836(f836(f8(f906(x45641,a895),a895,f900(x45641)),f81(x45641)),f836(f836(f8(f906(x45641,f906(f900(x45641),a895)),f906(x45641,a895),f900(x45641)),f836(f8(f906(f900(x45641),a895),a895,x45641),f81(f900(x45641)))),f836(f836(f7(f900(x45641),f906(x45641,f906(f900(x45641),a895)),f906(x45641,f906(f900(x45641),a895))),f836(f836(f8(f906(x45641,f906(f906(f900(x45641),a895),f906(f900(x45641),a895))),f906(f906(x45641,f906(f900(x45641),a895)),f906(x45641,f906(f900(x45641),a895))),f900(x45641)),f18(x45641,f906(f900(x45641),a895),f906(f900(x45641),a895))),f836(f836(f8(f906(x45641,f906(f900(x45641),f906(a895,a895))),f906(x45641,f906(f906(f900(x45641),a895),f906(f900(x45641),a895))),f900(x45641)),f836(f8(f906(f900(x45641),f906(a895,a895)),f906(f906(f900(x45641),a895),f906(f900(x45641),a895)),x45641),f18(f900(x45641),a895,a895))),f836(f836(f8(f906(x45641,f906(f900(x45641),a895)),f906(x45641,f906(f900(x45641),f906(a895,a895))),f900(x45641)),f836(f8(f906(f900(x45641),a895),f906(f900(x45641),f906(a895,a895)),x45641),f836(f8(a895,f906(a895,a895),f900(x45641)),a315))),f836(f836(f7(f900(x45641),f906(x45641,f906(f900(x45641),f900(x45641))),f906(x45641,f906(f900(x45641),a895))),f836(f836(f8(f906(f906(f900(x45641),f900(x45641)),f906(f900(x45641),a895)),f906(f906(x45641,f906(f900(x45641),f900(x45641))),f906(x45641,f906(f900(x45641),a895))),f900(x45641)),f8(f906(f900(x45641),f900(x45641)),f906(f900(x45641),a895),x45641)),f836(f836(f8(f906(f900(x45641),a895),f906(f906(f900(x45641),f900(x45641)),f906(f900(x45641),a895)),f900(x45641)),f8(f900(x45641),a895,f900(x45641))),a314))),f141(x45641)))))),f836(f836(f7(x45641,f906(f900(x45641),a895),f906(f900(x45641),a895)),f836(f836(f8(f906(a895,a895),f906(f906(f900(x45641),a895),f906(f900(x45641),a895)),x45641),f8(a895,a895,f900(x45641))),f836(f836(f8(a895,f906(a895,a895),x45641),a315),f836(f836(f7(x45641,f906(x45641,a895),a895),f318(x45641)),x45642)))),f836(f836(f7(f900(x45641),f906(f900(x45641),a895),a895),f318(f900(x45641))),x45643)))))),f164(x45641,x45642,x45643))
% 190.77/190.67 [4561]E(f836(f836(f80(a1,f905(a1,a1)),f836(f836(f23(a1),x45611),x45612)),f836(f836(f7(a1,f905(a1,a1),f905(a1,a1)),f836(f836(f18(a1,f905(a1,a1),f906(f905(a1,a1),f905(a1,a1))),f836(f836(f8(a895,f906(f905(a1,a1),f906(f905(a1,a1),f905(a1,a1))),a1),f86(f905(a1,a1))),f836(f224(a1),f2(a1)))),f836(f242(a1,a1),f836(f836(f74(a1),f836(f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x45613)),f72(a1))))),f836(f836(f242(a1,a1),f836(f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x45613)),x45611))),f836(f39(x45612),f836(f836(f242(a1,a1),x45613),x45611)))
% 190.77/190.67 [3616]E(f106(x36161,f836(x36162,x36163),f836(x36164,x36163)),f836(f193(x36161,x36162,x36164),x36163))
% 190.77/190.67 [3670]E(f836(f836(f235(x36701,x36702,x36703),x36704),f2(a899)),x36702)
% 190.77/190.67 [3708]E(f175(x37081,x37082,x37083,f836(a102,x37084)),f836(x37083,x37084))
% 190.77/190.67 [3749]E(f160(x37491,x37492,f160(x37491,x37493,x37494)),f160(x37491,x37493,f160(x37491,x37492,x37494)))
% 190.77/190.67 [3750]E(f116(x37501,x37502,f106(x37501,x37503,x37504)),f106(x37501,f116(x37501,x37502,x37503),x37504))
% 190.77/190.67 [3883]E(f836(f146(x38831,x38832,x38833,x38834),f103(x38832)),x38833)
% 190.77/190.67 [3884]E(f836(f132(x38841,x38842,x38843,x38844),f103(x38842)),x38844)
% 190.77/190.67 [3921]E(f836(f179(f903(x39211,x39212)),f210(x39211,x39212,x39213,x39214)),f2(a899))
% 190.77/190.67 [3944]E(f836(f247(x39441,x39442,x39443),f245(x39441,x39442,x39443,x39444)),x39444)
% 190.77/190.67 [3987]E(f836(f836(f124(x39871),f159(x39871,x39872,x39873)),f159(x39871,x39874,x39873)),f836(f836(f124(x39871),f159(x39871,x39874,x39873)),f159(x39871,x39872,x39873)))
% 190.77/190.67 [4072]E(f836(f836(f249(x40721,x40722,x40723,f905(x40722,x40723)),x40724),f242(x40722,x40723)),x40724)
% 190.77/190.67 [4082]E(f117(x40821,x40822,x40823,x40824,f109(x40822)),x40823)
% 190.77/190.67 [4088]E(f69(x40881,x40882,x40883,x40884,f836(x40883,x40884)),x40883)
% 190.77/190.67 [4354]P41(x43541,x43542,x43543,x43544,f178(f906(x43541,a895)),x43544)
% 190.77/190.67 [3420]E(f836(f836(f16(x34201,x34202),x34203),x34204),x34203)
% 190.77/190.67 [3698]E(f160(x36981,x36982,f836(f126(x36981,x36983),x36984)),f836(f126(x36981,x36983),f160(x36981,x36982,x36984)))
% 190.77/190.67 [3732]E(f836(f836(f59(x37321,x37322,x37323),x37324),f178(f906(x37321,a895))),x37324)
% 190.77/190.67 [3756]E(f836(f836(f154(x37561),f836(f836(f141(x37561),x37562),x37563)),f836(a102,x37564)),f836(f836(f154(x37561),x37563),x37564))
% 190.77/190.67 [3823]E(f836(f836(x38231,x38232),f836(f174(x38233,x38234,x38231),x38232)),f836(f174(x38233,x38234,x38231),f836(a102,x38232)))
% 190.77/190.67 [3864]E(f245(x38641,x38642,x38643,f836(f247(x38641,x38642,x38643),x38644)),x38644)
% 190.77/190.67 [3919]E(f836(f836(f149(x39191,f836(f836(f141(x39191),x39192),x39193)),f2(a899)),x39194),f836(f836(f141(x39191),x39194),x39193))
% 190.77/190.67 [3929]E(f836(f836(f35(f906(x39291,a895),f906(x39292,a895)),x39293),f300(x39291,x39292,x39294)),f836(f300(x39291,x39292,x39294),f32(f906(x39291,a895),x39293)))
% 190.77/190.67 [3930]E(f836(f836(f35(f906(x39301,a895),f906(x39302,a895)),x39303),f301(x39302,x39301,x39304)),f836(f301(x39302,x39301,x39304),f32(f906(x39301,a895),x39303)))
% 190.77/190.67 [3955]E(f110(x39551,f120(x39552,f901(x39551),x39553,x39554)),f836(f108(x39552,x39551,x39554),x39553))
% 190.77/190.67 [4027]E(f836(f115(x40271,x40272),f116(x40271,x40273,x40274)),f836(f836(f74(a899),f836(f836(f74(a899),f836(x40272,x40273)),f836(f115(x40271,x40272),x40274))),f836(a102,f2(a899))))
% 190.77/190.67 [4048]E(f836(f132(x40481,x40482,f836(f7(x40482,x40481,x40481),x40483),x40484),f836(f158(x40482),f103(x40482))),x40484)
% 190.77/190.67 [4152]E(f213(x41521,f905(x41522,f901(x41522)),x41523,f836(f247(x41522,f901(x41522),x41521),x41524),f836(f125(x41522),f109(x41522))),x41523)
% 190.77/190.67 [4284]E(f836(f247(x42841,x42842,x42843),f836(f836(f8(f906(x42842,f905(x42841,x42842)),f906(x42842,x42843),x42841),f836(f8(f905(x42841,x42842),x42843,x42842),x42844)),f242(x42841,x42842))),x42844)
% 190.77/190.67 [3607]E(f836(f246(x36071,x36072),f836(f836(f242(x36071,x36072),x36073),x36074)),x36074)
% 190.77/190.67 [3608]E(f836(f241(x36081,x36082),f836(f836(f242(x36081,x36082),x36083),x36084)),x36083)
% 190.77/190.67 [3641]E(f836(f179(f900(x36411)),f836(f836(f149(x36411,x36412),x36413),x36414)),f836(f179(f900(x36411)),x36412))
% 190.77/190.67 [3642]E(f836(f179(f900(x36421)),f836(f836(f144(x36422,x36421),x36423),x36424)),f836(f179(f900(x36422)),x36424))
% 190.77/190.67 [3663]E(f836(f836(f128(x36631),f836(a102,x36632)),f836(f836(f141(x36631),x36633),x36634)),f836(f836(f128(x36631),x36632),x36634))
% 190.77/190.67 [3727]E(f836(f836(f165(x37271),x37272),f159(x37271,x37273,x37274)),f159(x37271,f836(f836(f228(a899),x37272),x37273),x37274))
% 190.77/190.67 [3728]E(f836(f836(f128(x37281),x37282),f159(x37281,x37283,x37284)),f159(x37281,f836(f836(f23(a899),x37283),x37282),x37284))
% 190.77/190.67 [3734]E(f836(f836(f299(x37341),x37342),f836(f836(f299(x37341),x37343),x37344)),f836(f836(f299(x37341),x37343),f836(f836(f299(x37341),x37342),x37344)))
% 190.77/190.67 [3738]E(f836(f836(f144(x37381,x37382),x37383),f104(x37381,x37384)),f104(x37382,f836(f836(f144(x37381,x37382),x37383),x37384)))
% 190.77/190.67 [3754]E(f836(f158(x37541),f836(f836(f144(x37542,x37541),x37543),x37544)),f836(f836(f144(x37542,x37541),x37543),f836(f158(x37542),x37544)))
% 190.77/190.67 [3755]E(f836(f836(f144(x37551,x37552),x37553),f836(f161(x37551),x37554)),f836(f161(x37552),f836(f836(f144(x37551,x37552),x37553),x37554)))
% 190.77/190.67 [3770]E(f836(f836(f165(x37701),f836(a102,x37702)),f836(f836(f141(x37701),x37703),x37704)),f836(f836(f141(x37701),x37703),f836(f836(f165(x37701),x37702),x37704)))
% 190.77/190.67 [3773]E(f836(f162(x37731),f836(f836(f144(x37732,x37731),x37733),x37734)),f836(f300(x37732,x37731,x37733),f836(f162(x37732),x37734)))
% 190.77/190.67 [3786]E(f836(f836(f144(x37861,x37862),f836(f16(x37862,x37861),x37863)),x37864),f159(x37862,f836(f179(f900(x37861)),x37864),x37863))
% 190.77/190.67 [3822]E(f17(x38221,x38222,x38223,f836(a3,f836(a102,f836(a20,x38224)))),f836(x38223,x38224))
% 190.77/190.67 [3826]E(f836(f836(f124(x38261),f836(f126(x38261,x38262),x38263)),f836(f126(x38261,x38262),x38264)),f836(f126(x38261,x38262),f836(f836(f124(x38261),x38263),x38264)))
% 190.77/190.67 [3838]E(f142(x38381,f836(f836(f144(x38382,x38381),x38383),f142(x38382,x38384))),f142(x38381,f836(f836(f144(x38382,x38381),x38383),x38384)))
% 190.77/190.67 [3853]E(f836(f276(x38531,x38531),f836(f836(f278(x38532,x38531),x38533),x38534)),f836(f836(f278(x38532,x38531),f836(f276(x38532,x38532),x38533)),x38534))
% 190.77/190.67 [3865]E(f836(f836(f279(x38651,x38652,x38653),x38654),f178(f906(f905(x38652,x38653),a895))),f178(f906(f905(x38651,x38653),a895)))
% 190.77/190.67 [3866]E(f836(f836(f165(x38661),f836(f836(f23(a899),x38662),x38663)),f836(f836(f128(x38661),x38663),x38664)),f836(f836(f128(x38661),x38663),f836(f836(f165(x38661),x38662),x38664)))
% 190.77/190.67 [3885]E(f836(f836(f124(x38851),f159(x38851,x38852,x38853)),f159(x38851,x38854,x38853)),f159(x38851,f836(f836(f74(a899),x38852),x38854),x38853))
% 190.77/190.67 [3886]E(f836(f836(f836(f268(x38861),x38862),x38863),x38864),f836(f242(f906(a89,f906(a895,f902(f901(x38861)))),f905(a89,a89)),f836(f38(x38861),x38862)))
% 190.77/190.67 [3912]E(f33(f906(x39121,a895),f836(f300(x39122,f906(x39121,a895),x39123),x39124)),f836(f836(f36(x39122,f906(x39121,a895)),x39124),x39123))
% 190.77/190.67 [3913]E(f32(f906(x39131,a895),f836(f300(x39132,f906(x39131,a895),x39133),x39134)),f836(f836(f35(x39132,f906(x39131,a895)),x39134),x39133))
% 190.77/190.67 [3914]E(f836(f179(f900(f905(x39141,x39142))),f836(f836(f171(x39141,x39142),x39143),x39144)),f836(f836(f228(a899),f836(f179(f900(x39141)),x39143)),f836(f179(f900(x39142)),x39144)))
% 190.77/190.67 [3916]E(f836(f301(x39161,x39162,x39163),f836(f73(f906(x39162,a895)),x39164)),f836(f73(f906(x39161,a895)),f836(f301(x39161,x39162,x39163),x39164)))
% 190.77/190.67 [3965]E(f836(f301(x39651,x39652,x39653),f836(f252(x39652),x39654)),f836(f252(x39651),f836(f836(f8(x39652,a895,x39651),x39654),x39653)))
% 190.77/190.67 [3982]E(f836(f836(f154(x39821),f836(f836(f124(x39821),x39822),f836(f836(f141(x39821),x39823),x39824))),f836(f179(f900(x39821)),x39822)),x39823)
% 190.77/190.67 [4004]E(f836(f300(x40041,x40042,x40043),f836(f301(x40041,x40042,x40043),x40044)),f836(f836(f92(f906(x40042,a895)),x40044),f836(f300(x40041,x40042,x40043),f232(f906(x40041,a895)))))
% 190.77/190.67 [4023]P1(f836(f836(f318(x40231),f836(x40232,x40233)),f836(f300(x40234,x40231,x40232),f232(f906(x40234,a895)))))
% 190.77/190.67 [4032]E(f19(x40321,x40322,x40323,f836(a3,f836(a102,f836(a20,x40324)))),f836(f836(x40323,x40324),f19(x40321,x40322,x40323,x40324)))
% 190.77/190.67 [4036]E(f836(f836(f124(x40361),f159(x40361,x40362,x40363)),f836(f836(f141(x40361),x40363),x40364)),f836(f836(f141(x40361),x40363),f836(f836(f124(x40361),f159(x40361,x40362,x40363)),x40364)))
% 190.77/190.67 [4038]E(f836(f836(f244(x40381,x40382),f836(f162(x40381),x40383)),f836(f16(f906(x40382,a895),x40381),f836(f162(x40382),x40384))),f836(f162(f905(x40381,x40382)),f55(x40381,x40382,x40383,x40384)))
% 190.77/190.67 [4050]E(f145(x40501,x40502,f836(f836(f141(x40501),x40503),x40504)),f836(f836(f74(a899),f836(f836(f74(a899),f836(x40502,x40503)),f145(x40501,x40502,x40504))),f836(a102,f2(a899))))
% 190.77/190.67 [4063]E(f175(f900(x40631),f836(f836(f141(x40631),x40632),x40633),f836(f836(f7(a899,f900(x40631),f900(x40631)),f128(x40631)),x40633),x40634),f836(f836(f128(x40631),x40634),f836(f836(f141(x40631),x40632),x40633)))
% 190.77/190.67 [4064]P24(x40641,f905(x40642,x40641),f320(x40643,x40644,x40642,x40641),f836(f836(f35(x40642,f906(x40641,a895)),x40644),x40643))
% 190.77/190.67 [4073]E(f836(f836(f23(f906(x40731,a895)),f836(f836(f23(f906(x40731,a895)),x40732),x40733)),f836(f836(f299(x40731),x40734),f178(f906(x40731,a895)))),f836(f836(f23(f906(x40731,a895)),x40732),f836(f836(f299(x40731),x40734),x40733)))
% 190.77/190.67 [4086]E(f836(f836(f173(f906(x40861,x40862),f906(x40861,x40862)),x40863),f67(x40862,x40862,x40861,x40864)),f67(x40862,x40862,x40861,f836(f836(f173(x40862,x40862),x40863),x40864)))
% 190.77/190.67 [4157]E(f836(f836(f836(f173(f900(x41571),f900(x41571)),x41572),f157(x41571)),f836(f836(f836(f173(f900(x41571),f900(x41571)),x41573),f157(x41571)),x41574)),f836(f836(f836(f173(f900(x41571),f900(x41571)),f836(f836(f74(a899),x41572),x41573)),f157(x41571)),x41574))
% 190.77/190.67 [4242]P1(f836(f836(f224(f906(x42421,a895)),f836(f162(x42421),f836(f836(f149(x42421,x42422),x42423),x42424))),f836(f836(f299(x42421),x42424),f836(f162(x42421),x42422))))
% 190.77/190.67 [4274]E(f836(f836(f35(f906(x42741,a895),f906(f905(x42741,x42742),a895)),x42743),f836(f836(f7(f906(x42741,a895),f906(x42741,f906(x42742,a895)),f906(f905(x42741,x42742),a895)),f244(x42741,x42742)),x42744)),f836(f836(f244(x42741,x42742),f32(f906(x42741,a895),x42743)),x42744))
% 190.77/190.67 [4312]E(f199(x43121,x43122,x43123,f836(f67(x43122,f906(a89,f906(a89,f906(f905(a89,a89),f906(a89,f901(x43122))))),x43121,f198(x43122)),x43124)),f200(x43121,x43122,x43124,x43123))
% 190.77/190.67 [4327]E(f195(x43271,x43272,x43273,f836(f67(x43272,f906(a89,f906(a89,f906(f905(a89,a89),f906(a89,f901(f902(x43272)))))),x43271,f194(x43272)),x43274)),f196(x43271,x43272,x43274,x43273))
% 190.77/190.67 [4332]P1(f836(f61(x43321,x43322,x43323,x43324,f178(f906(x43321,a895))),x43324))
% 190.77/190.67 [4371]E(f836(f836(f35(x43711,f906(x43712,a895)),x43713),f836(f836(f7(x43711,f906(x43712,a895),f906(x43712,a895)),f836(f836(f8(x43712,f906(f906(x43712,a895),f906(x43712,a895)),x43711),f299(x43712)),x43714)),f178(f906(x43712,a895)))),f836(f300(x43711,x43712,x43714),x43713))
% 190.77/190.67 [4378]P1(f836(f836(f224(f906(x43781,a895)),f836(f274(x43782,x43781),f836(f836(f92(f906(f905(x43782,x43781),a895)),x43783),x43784))),f836(f836(f92(f906(x43781,a895)),f836(f274(x43782,x43781),x43783)),f836(f274(x43782,x43781),x43784))))
% 190.77/190.67 [4379]P1(f836(f836(f224(f906(x43791,a895)),f836(f254(x43791,x43792),f836(f836(f92(f906(f905(x43791,x43792),a895)),x43793),x43794))),f836(f836(f92(f906(x43791,a895)),f836(f254(x43791,x43792),x43793)),f836(f254(x43791,x43792),x43794))))
% 190.77/190.67 [4439]P1(f836(f836(f224(f906(f905(x44391,x44392),a895)),f836(f300(x44392,f905(x44391,x44392),f320(x44393,x44394,x44391,x44392)),f836(f836(f35(x44391,f906(x44392,a895)),x44394),x44393))),f836(f836(f244(x44391,x44392),x44394),x44393)))
% 190.77/190.67 [4440]E(f836(f108(x44401,f905(x44401,x44402),x44403),f836(f836(f8(f906(x44402,f901(f905(x44401,x44402))),f901(f905(x44401,x44402)),x44401),f108(x44402,f905(x44401,x44402),x44404)),f836(f836(f8(f906(x44402,f905(x44401,x44402)),f906(x44402,f901(f905(x44401,x44402))),x44401),f836(f8(f905(x44401,x44402),f901(f905(x44401,x44402)),x44402),f119(f905(x44401,x44402)))),f242(x44401,x44402)))),f121(x44401,x44402,x44403,x44404))
% 190.77/190.67 [4441]E(f266(x44411,x44412,x44413,f836(f67(x44412,f906(a89,f906(a89,f906(f905(a89,a89),f905(f906(a89,f906(a895,f902(f901(x44412)))),f905(a89,a89))))),x44411,f268(x44412)),x44414)),f269(x44411,x44412,x44414,x44413))
% 190.77/190.67 [4481]E(f79(f905(x44811,x44812),f836(f247(x44811,x44812,a895),f836(f836(f7(x44811,f906(x44812,a895),f906(x44812,a895)),f836(f836(f8(f906(a895,a895),f906(f906(x44812,a895),f906(x44812,a895)),x44811),f8(a895,a895,x44812)),f836(f836(f8(a895,f906(a895,a895),x44811),a315),f836(a314,x44813)))),f836(a314,x44814)))),f836(f836(f242(x44811,x44812),x44813),x44814))
% 190.77/190.67 [4482]E(f84(f905(x44821,x44822),f836(f247(x44821,x44822,a895),f836(f836(f7(x44821,f906(x44822,a895),f906(x44822,a895)),f836(f836(f8(f906(a895,a895),f906(f906(x44822,a895),f906(x44822,a895)),x44821),f8(a895,a895,x44822)),f836(f836(f8(a895,f906(a895,a895),x44821),a315),f836(a314,x44823)))),f836(a314,x44824)))),f836(f836(f242(x44821,x44822),x44823),x44824))
% 190.77/190.67 [4553]E(f836(f836(f247(f900(x45531),f900(x45531),f905(f900(x45531),f900(x45531))),f836(f836(f18(f900(x45531),f906(f900(x45531),f905(f900(x45531),f900(x45531))),f906(f900(x45531),f905(f900(x45531),f900(x45531)))),f836(f836(f8(f906(f900(x45531),f906(f905(f900(x45531),f900(x45531)),f905(f900(x45531),f900(x45531)))),f906(f906(f900(x45531),f905(f900(x45531),f900(x45531))),f906(f900(x45531),f905(f900(x45531),f900(x45531)))),f900(x45531)),f18(f900(x45531),f905(f900(x45531),f900(x45531)),f905(f900(x45531),f900(x45531)))),f836(f836(f8(f906(f900(x45531),f905(f900(x45531),f900(x45531))),f906(f900(x45531),f906(f905(f900(x45531),f900(x45531)),f905(f900(x45531),f900(x45531)))),f900(x45531)),f836(f8(f905(f900(x45531),f900(x45531)),f906(f905(f900(x45531),f900(x45531)),f905(f900(x45531),f900(x45531))),f900(x45531)),f836(f86(f905(f900(x45531),f900(x45531))),f836(x45532,x45533)))),f836(f836(f8(f900(x45531),f906(f900(x45531),f905(f900(x45531),f900(x45531))),f900(x45531)),f242(f900(x45531),f900(x45531))),f836(f141(x45531),x45533))))),f836(f836(f7(f900(x45531),f906(f900(x45531),f900(x45531)),f906(f900(x45531),f905(f900(x45531),f900(x45531)))),f836(f836(f8(f906(f900(x45531),f905(f900(x45531),f900(x45531))),f906(f906(f900(x45531),f900(x45531)),f906(f900(x45531),f905(f900(x45531),f900(x45531)))),f900(x45531)),f8(f900(x45531),f905(f900(x45531),f900(x45531)),f900(x45531))),f242(f900(x45531),f900(x45531)))),f836(f141(x45531),x45533)))),f156(x45531,x45532,x45534)),f156(x45531,x45532,f836(f836(f141(x45531),x45533),x45534)))
% 190.77/190.67 [3802]E(f836(f836(f165(x38021),x38022),f836(f836(f165(x38021),x38023),x38024)),f836(f836(f165(x38021),f836(f836(f228(a899),x38022),x38023)),x38024))
% 190.77/190.67 [3803]E(f836(f836(f128(x38031),x38032),f836(f836(f128(x38031),x38033),x38034)),f836(f836(f128(x38031),f836(f836(f74(a899),x38032),x38033)),x38034))
% 190.77/190.67 [3814]E(f836(f836(f124(x38141),f836(f836(f141(x38141),x38142),x38143)),x38144),f836(f836(f141(x38141),x38142),f836(f836(f124(x38141),x38143),x38144)))
% 190.77/190.67 [3815]E(f836(f836(f124(x38151),f836(f836(f124(x38151),x38152),x38153)),x38154),f836(f836(f124(x38151),x38152),f836(f836(f124(x38151),x38153),x38154)))
% 190.77/190.67 [3896]E(f836(f836(f154(x38961),f836(f836(f141(x38961),x38962),x38963)),x38964),f175(x38961,x38962,f836(f154(x38961),x38963),x38964))
% 190.77/190.67 [3905]E(f836(f836(f173(x39051,x39051),x39052),f836(f836(f173(x39051,x39051),x39053),x39054)),f836(f836(f173(x39051,x39051),f836(f836(f75(a899),x39053),x39052)),x39054))
% 190.77/190.67 [3932]E(f836(f836(f91(f906(x39321,a895)),x39322),f836(f836(f299(x39321),x39323),x39324)),f836(f836(f299(x39321),x39323),f836(f836(f91(f906(x39321,a895)),x39322),x39324)))
% 190.77/190.67 [3947]E(f836(f836(f836(f173(x39471,x39471),x39472),x39473),f836(x39473,x39474)),f836(x39473,f836(f836(f836(f173(x39471,x39471),x39472),x39473),x39474)))
% 190.77/190.67 [3956]E(f836(f836(f279(x39561,x39562,x39563),f178(f906(f905(x39561,x39562),a895))),x39564),f178(f906(f905(x39561,x39563),a895)))
% 190.77/190.67 [3970]E(f836(f836(f91(f906(x39701,a895)),f836(f836(f299(x39701),x39702),x39703)),x39704),f836(f836(f299(x39701),x39702),f836(f836(f91(f906(x39701,a895)),x39703),x39704)))
% 190.77/190.67 [3989]E(f836(f30(f905(x39891,x39892)),f836(f836(f244(x39891,x39892),x39893),f836(f16(f906(x39892,a895),x39891),x39894))),f836(f836(f75(a899),f836(f30(x39891),x39893)),f836(f30(x39892),x39894)))
% 190.77/190.67 [3995]E(f836(f836(f92(f906(x39951,a895)),f836(f836(f299(x39951),x39952),x39953)),f836(f836(f299(x39951),x39952),x39954)),f836(f836(f299(x39951),x39952),f836(f836(f92(f906(x39951,a895)),x39953),x39954)))
% 190.77/190.67 [4008]E(f836(f836(f91(f906(x40081,a895)),x40082),f836(f836(f91(f906(x40081,a895)),x40083),x40084)),f836(f836(f91(f906(x40081,a895)),x40083),f836(f836(f91(f906(x40081,a895)),x40082),x40084)))
% 190.77/190.67 [4009]E(f836(f836(f92(f906(x40091,a895)),x40092),f836(f836(f92(f906(x40091,a895)),x40093),x40094)),f836(f836(f92(f906(x40091,a895)),x40093),f836(f836(f92(f906(x40091,a895)),x40092),x40094)))
% 190.77/190.67 [4019]E(f59(x40191,x40192,f836(f836(f8(x40192,f906(x40192,x40192),x40191),x40193),x40194)),f836(f60(x40192,x40191,x40193),x40194))
% 190.77/190.67 [4028]E(f169(x40281,f836(f836(f144(f900(x40282),f900(x40281)),f836(f144(x40282,x40281),x40283)),x40284)),f836(f836(f144(f900(x40282),f900(x40281)),f836(f144(x40282,x40281),x40283)),f169(x40282,x40284)))
% 190.77/190.67 [4047]E(f836(f132(f900(x40471),f900(x40471),f124(x40471),f103(x40471)),f836(f836(f144(x40472,f900(x40471)),x40473),x40474)),f153(x40472,x40471,x40473,x40474))
% 190.77/190.67 [4104]E(f836(f67(x41041,x41041,x41041,f836(f836(f173(x41041,x41041),x41042),x41043)),f836(f836(f173(x41041,x41041),x41044),x41043)),f836(f836(f173(x41041,x41041),f836(f836(f74(a899),x41042),x41044)),x41043))
% 190.77/190.67 [4127]E(f836(f836(f92(f906(x41271,a895)),f836(f836(f23(f906(x41271,a895)),x41272),x41273)),f836(f836(f23(f906(x41271,a895)),x41272),x41274)),f836(f836(f23(f906(x41271,a895)),x41272),f836(f836(f91(f906(x41271,a895)),x41273),x41274)))
% 190.77/190.67 [4128]E(f836(f836(f91(f906(x41281,a895)),f836(f836(f23(f906(x41281,a895)),x41282),x41283)),f836(f836(f23(f906(x41281,a895)),x41282),x41284)),f836(f836(f23(f906(x41281,a895)),x41282),f836(f836(f92(f906(x41281,a895)),x41283),x41284)))
% 190.77/190.67 [4129]E(f836(f836(f92(f906(x41291,a895)),f836(f836(f91(f906(x41291,a895)),x41292),x41293)),f836(f836(f91(f906(x41291,a895)),x41292),x41294)),f836(f836(f91(f906(x41291,a895)),x41292),f836(f836(f92(f906(x41291,a895)),x41293),x41294)))
% 190.77/190.67 [4130]E(f836(f836(f23(f906(x41301,a895)),f836(f836(f92(f906(x41301,a895)),x41302),x41303)),f836(f836(f92(f906(x41301,a895)),x41302),x41304)),f836(f836(f92(f906(x41301,a895)),x41302),f836(f836(f23(f906(x41301,a895)),x41303),x41304)))
% 190.77/190.67 [4131]E(f836(f836(f91(f906(x41311,a895)),f836(f836(f92(f906(x41311,a895)),x41312),x41313)),f836(f836(f92(f906(x41311,a895)),x41312),x41314)),f836(f836(f92(f906(x41311,a895)),x41312),f836(f836(f91(f906(x41311,a895)),x41313),x41314)))
% 190.77/190.67 [4136]E(f836(f30(f905(x41361,x41362)),f836(f836(f244(x41361,x41362),f836(f836(f299(x41361),x41363),f178(f906(x41361,a895)))),f836(f16(f906(x41362,a895),x41361),x41364))),f836(f30(x41362),x41364))
% 190.77/190.67 [4171]E(f836(f836(f36(x41711,f906(x41712,a895)),x41713),f836(f836(f8(f906(x41712,a895),f906(x41712,a895),x41711),f73(f906(x41712,a895))),x41714)),f836(f73(f906(x41712,a895)),f836(f836(f35(x41711,f906(x41712,a895)),x41713),x41714)))
% 190.77/190.67 [4172]E(f836(f836(f35(x41721,f906(x41722,a895)),x41723),f836(f836(f8(f906(x41722,a895),f906(x41722,a895),x41721),f73(f906(x41722,a895))),x41724)),f836(f73(f906(x41722,a895)),f836(f836(f36(x41721,f906(x41722,a895)),x41723),x41724)))
% 190.77/190.67 [4188]E(f836(f836(f279(x41881,x41881,x41881),f836(f836(f173(f905(x41881,x41881),a895),x41882),x41883)),f836(f836(f173(f905(x41881,x41881),a895),x41884),x41883)),f836(f836(f173(f905(x41881,x41881),a895),f836(f836(f74(a899),x41882),x41884)),x41883))
% 190.77/190.67 [4218]E(f836(f836(f36(x42181,f906(f906(x42182,a895),a895)),x42183),f836(f836(f8(f906(x42182,a895),f906(f906(x42182,a895),a895),x42181),f298(x42182)),x42184)),f836(f298(x42182),f836(f836(f36(x42181,f906(x42182,a895)),x42183),x42184)))
% 190.77/190.67 [4247]E(f836(f836(f35(f906(x42471,a895),f906(x42472,a895)),x42473),f836(f836(f7(f906(x42471,a895),f906(x42471,f906(x42472,a895)),f906(x42472,a895)),f35(x42471,f906(x42472,a895))),x42474)),f836(f836(f35(x42471,f906(x42472,a895)),f32(f906(x42471,a895),x42473)),x42474))
% 190.77/190.67 [4248]E(f836(f836(f36(f906(x42481,a895),f906(x42482,a895)),x42483),f836(f836(f7(f906(x42481,a895),f906(x42481,f906(x42482,a895)),f906(x42482,a895)),f36(x42481,f906(x42482,a895))),x42484)),f836(f836(f36(x42481,f906(x42482,a895)),f32(f906(x42481,a895),x42483)),x42484))
% 190.77/190.67 [4253]E(f836(f836(f144(x42531,x42532),x42533),f836(f132(f900(x42531),f900(x42531),f124(x42531),f103(x42531)),x42534)),f836(f132(f900(x42532),f900(x42532),f124(x42532),f103(x42532)),f836(f836(f144(f900(x42531),f900(x42532)),f836(f144(x42531,x42532),x42533)),x42534)))
% 190.77/190.67 [4255]E(f175(f900(x42551),f103(x42551),f836(f836(f8(f900(x42551),f900(x42551),a899),f836(f141(x42551),x42552)),f836(f836(f7(a899,f900(x42551),f900(x42551)),f165(x42551)),x42553)),x42554),f836(f836(f165(x42551),x42554),f836(f836(f141(x42551),x42552),x42553)))
% 190.77/190.67 [4293]P1(f836(f836(f224(f906(x42931,a895)),f836(f300(x42932,x42931,x42933),f836(f301(x42932,x42931,x42933),x42934))),x42934))
% 190.77/190.67 [4295]E(f836(f300(f905(x42951,x42952),f905(x42952,x42951),f836(f247(x42951,x42952,f905(x42952,x42951)),f836(f7(x42952,x42951,f905(x42952,x42951)),f242(x42952,x42951)))),f836(f836(f244(x42951,x42952),x42953),f836(f16(f906(x42952,a895),x42951),x42954))),f836(f836(f244(x42952,x42951),x42954),f836(f16(f906(x42951,a895),x42952),x42953)))
% 190.77/190.67 [4304]E(f836(f836(f35(x43041,f906(x43042,a895)),x43043),f836(f836(f8(f906(x43041,a895),f906(x43042,a895),x43041),f275(x43041,x43042,x43044)),f836(f836(f7(x43041,f906(x43041,a895),f906(x43041,a895)),f299(x43041)),f178(f906(x43041,a895))))),f836(f275(x43041,x43042,x43044),x43043))
% 190.77/190.67 [4305]E(f836(f836(f35(x43051,f906(x43052,a895)),x43053),f836(f836(f8(f906(x43051,a895),f906(x43052,a895),x43051),f301(x43052,x43051,x43054)),f836(f836(f7(x43051,f906(x43051,a895),f906(x43051,a895)),f299(x43051)),f178(f906(x43051,a895))))),f836(f301(x43052,x43051,x43054),x43053))
% 190.77/190.67 [4392]E(f836(f836(f92(f906(x43921,a895)),f836(f836(f92(f906(x43921,a895)),f836(f836(f91(f906(x43921,a895)),x43922),x43923)),f836(f836(f91(f906(x43921,a895)),x43923),x43924))),f836(f836(f91(f906(x43921,a895)),x43924),x43922)),f836(f836(f91(f906(x43921,a895)),f836(f836(f91(f906(x43921,a895)),f836(f836(f92(f906(x43921,a895)),x43922),x43923)),f836(f836(f92(f906(x43921,a895)),x43923),x43924))),f836(f836(f92(f906(x43921,a895)),x43924),x43922)))
% 190.77/190.67 [4455]E(f836(f132(f900(x44551),f900(x44551),f124(x44551),f103(x44551)),f836(f836(f144(x44552,f900(x44551)),f836(f836(f7(x44552,f900(x44551),f900(x44551)),f836(f836(f8(x44551,f906(f900(x44551),f900(x44551)),x44552),f141(x44551)),x44553)),f103(x44551))),x44554)),f836(f836(f144(x44552,x44551),x44553),x44554))
% 190.77/190.67 [4465]E(f836(f836(f80(a1,x44651),f836(f94(a1),f836(f836(f74(a1),x44652),a87))),f836(f836(f18(a1,x44651,x44651),f836(f836(f7(a1,x44651,f906(x44651,x44651)),f836(f836(f8(a895,f906(x44651,f906(x44651,x44651)),a1),f86(x44651)),a183)),x44653)),f836(f836(f8(a899,x44651,a1),x44654),a95))),f175(x44651,x44653,x44654,f836(f94(a899),x44652)))
% 190.77/190.67 [4496]E(f836(f252(x44961),f836(f836(f8(f906(x44962,a895),a895,x44961),f81(x44962)),f836(f836(f8(f906(x44962,a895),f906(x44962,a895),x44961),f836(f18(x44962,a895,a895),f836(f836(f8(a895,f906(a895,a895),x44962),a315),f836(f836(f7(x44962,f906(x44962,a895),a895),f318(x44962)),x44963)))),f836(f7(x44962,x44961,a895),x44964)))),f836(f275(x44962,x44961,f836(f252(f905(x44962,x44961)),f836(f247(x44962,x44961,a895),x44964))),x44963))
% 190.77/190.67 [4631]~P1(f836(f836(f178(f906(x46311,f906(x46312,a895))),x46313),x46314))
% 190.77/190.67 [3959]E(f836(f836(f154(x39591),f836(f836(f124(x39591),x39592),x39593)),f836(f836(f74(a899),f836(f179(f900(x39591)),x39592)),x39594)),f836(f836(f154(x39591),x39593),x39594))
% 190.77/190.67 [3964]E(f836(f836(f128(x39641),x39642),f836(f836(f165(x39641),f836(f836(f74(a899),x39643),x39642)),x39644)),f836(f836(f165(x39641),x39643),f836(f836(f128(x39641),x39642),x39644)))
% 190.77/190.67 [4061]E(f836(f836(f91(f906(x40611,a895)),f836(f274(x40612,x40611),x40613)),f836(f274(x40612,x40611),x40614)),f836(f274(x40612,x40611),f836(f836(f91(f906(f905(x40612,x40611),a895)),x40613),x40614)))
% 190.77/190.67 [4062]E(f836(f836(f91(f906(x40621,a895)),f836(f254(x40621,x40622),x40623)),f836(f254(x40621,x40622),x40624)),f836(f254(x40621,x40622),f836(f836(f91(f906(f905(x40621,x40622),a895)),x40623),x40624)))
% 190.77/190.67 [4067]E(f836(f836(f23(f906(x40671,a895)),f836(f836(f92(f906(x40671,a895)),x40672),x40673)),x40674),f836(f836(f92(f906(x40671,a895)),x40672),f836(f836(f23(f906(x40671,a895)),x40673),x40674)))
% 190.77/190.67 [4068]E(f836(f836(f91(f906(x40681,a895)),f836(f836(f91(f906(x40681,a895)),x40682),x40683)),x40684),f836(f836(f91(f906(x40681,a895)),x40682),f836(f836(f91(f906(x40681,a895)),x40683),x40684)))
% 190.77/190.67 [4069]E(f836(f836(f92(f906(x40691,a895)),f836(f836(f92(f906(x40691,a895)),x40692),x40693)),x40694),f836(f836(f92(f906(x40691,a895)),x40692),f836(f836(f92(f906(x40691,a895)),x40693),x40694)))
% 190.77/190.67 [4106]E(f836(f836(f91(f906(f905(x41061,x41062),a895)),f836(f276(x41062,x41061),x41063)),f836(f276(x41062,x41061),x41064)),f836(f276(x41062,x41061),f836(f836(f91(f906(f905(x41062,x41061),a895)),x41063),x41064)))
% 190.77/190.67 [4107]E(f836(f836(f92(f906(f905(x41071,x41072),a895)),f836(f276(x41072,x41071),x41073)),f836(f276(x41072,x41071),x41074)),f836(f276(x41072,x41071),f836(f836(f92(f906(f905(x41072,x41071),a895)),x41073),x41074)))
% 190.77/190.67 [4120]E(f836(f836(f91(f906(x41201,f906(x41202,a895))),f233(x41202,x41201,x41203)),f233(x41202,x41201,x41204)),f233(x41202,x41201,f836(f836(f91(f906(x41202,f906(x41201,a895))),x41203),x41204)))
% 190.77/190.67 [4121]E(f836(f836(f92(f906(x41211,f906(x41212,a895))),f233(x41212,x41211,x41213)),f233(x41212,x41211,x41214)),f233(x41212,x41211,f836(f836(f92(f906(x41212,f906(x41211,a895))),x41213),x41214)))
% 190.77/190.67 [4175]E(f836(f836(f91(f906(x41751,a895)),f836(f836(f23(f906(x41751,a895)),x41752),x41753)),f836(f836(f23(f906(x41751,a895)),x41754),x41753)),f836(f836(f23(f906(x41751,a895)),f836(f836(f91(f906(x41751,a895)),x41752),x41754)),x41753))
% 190.77/190.67 [4176]E(f836(f836(f92(f906(x41761,a895)),f836(f836(f91(f906(x41761,a895)),x41762),x41763)),f836(f836(f91(f906(x41761,a895)),x41764),x41763)),f836(f836(f91(f906(x41761,a895)),f836(f836(f92(f906(x41761,a895)),x41762),x41764)),x41763))
% 190.77/190.67 [4177]E(f836(f836(f23(f906(x41771,a895)),f836(f836(f92(f906(x41771,a895)),x41772),x41773)),f836(f836(f92(f906(x41771,a895)),x41774),x41773)),f836(f836(f92(f906(x41771,a895)),f836(f836(f23(f906(x41771,a895)),x41772),x41774)),x41773))
% 190.77/190.67 [4178]E(f836(f836(f91(f906(x41781,a895)),f836(f836(f92(f906(x41781,a895)),x41782),x41783)),f836(f836(f92(f906(x41781,a895)),x41784),x41783)),f836(f836(f92(f906(x41781,a895)),f836(f836(f91(f906(x41781,a895)),x41782),x41784)),x41783))
% 190.77/190.67 [4179]E(f836(f836(f23(f906(x41791,a895)),f836(f836(f92(f906(x41791,a895)),x41792),x41793)),f836(f836(f92(f906(x41791,a895)),x41794),x41793)),f836(f836(f23(f906(x41791,a895)),f836(f836(f92(f906(x41791,a895)),x41792),x41793)),x41794))
% 190.77/190.67 [4191]E(f836(f836(f23(f906(x41911,a895)),f836(f836(f23(f906(x41911,a895)),x41912),f836(f836(f299(x41911),x41913),f178(f906(x41911,a895))))),x41914),f836(f836(f23(f906(x41911,a895)),x41912),f836(f836(f299(x41911),x41913),x41914)))
% 190.77/190.67 [4244]E(f836(f836(f91(f906(x42441,a895)),f836(f836(f299(x42441),x42442),f836(f836(f299(x42441),x42443),f178(f906(x42441,a895))))),f836(f271(x42441),x42444)),f836(f271(x42441),f836(f836(f299(f905(x42441,x42441)),f836(f836(f242(x42441,x42441),x42442),x42443)),x42444)))
% 190.77/190.67 [4269]E(f836(f836(f35(a899,f906(x42691,a895)),f836(f291(a899),x42692)),f836(f836(f8(a899,f906(x42691,a895),a899),x42693),f836(f836(f7(a899,a899,a899),f74(a899)),x42694))),f836(f836(f35(a899,f906(x42691,a895)),f293(a899,x42694,f836(f836(f74(a899),x42692),x42694))),x42693))
% 190.77/190.67 [4270]E(f164(x42701,f836(f275(x42701,x42701,x42702),f836(f836(f299(x42701),x42703),f178(f906(x42701,a895)))),f836(f275(f900(x42701),f900(x42701),f148(x42701,x42702)),f836(f836(f299(f900(x42701)),x42704),f178(f906(f900(x42701),a895))))),f836(f275(f900(x42701),f900(x42701),f148(x42701,x42702)),f836(f836(f299(f900(x42701)),f836(f836(f141(x42701),x42703),x42704)),f178(f906(f900(x42701),a895)))))
% 190.77/190.67 [4334]E(f836(f252(x43341),f836(f836(f7(x43341,f906(x43342,a895),a895),f836(f836(f8(x43342,f906(f906(x43342,a895),a895),x43341),f318(x43342)),x43343)),x43344)),f836(f301(x43341,x43342,x43343),x43344))
% 190.77/190.67 [4424]E(f836(f252(x44241),f836(f836(f7(x44241,f906(f905(x44242,x44241),a895),a895),f836(f836(f8(f905(x44242,x44241),f906(f906(f905(x44242,x44241),a895),a895),x44241),f318(f905(x44242,x44241))),f836(f242(x44242,x44241),x44243))),x44244)),f836(f275(x44242,x44241,x44244),f836(f836(f299(x44242),x44243),f178(f906(x44242,a895)))))
% 190.77/190.67 [4438]E(f836(f836(f144(f905(x44381,a899),x44381),f241(x44381,a899)),f836(f126(f905(x44381,a899),f836(f836(f8(a899,a895,f905(x44381,a899)),x44382),f836(f836(f8(a899,a899,f905(x44381,a899)),a102),f246(x44381,a899)))),f836(f836(f171(x44381,a899),x44383),x44384))),f836(f836(f144(f905(x44381,a899),x44381),f241(x44381,a899)),f836(f126(f905(x44381,a899),f836(f836(f8(a899,a895,f905(x44381,a899)),x44382),f246(x44381,a899))),f836(f836(f171(x44381,a899),x44383),f836(f836(f144(a899,a899),a102),x44384)))))
% 190.77/190.67 [4447]P1(f836(f836(f224(f906(f906(x44471,a895),a895)),f836(f836(f35(x44472,f906(f906(x44471,a895),a895)),x44473),f836(f836(f8(f906(x44471,a895),f906(f906(x44471,a895),a895),x44472),f298(x44471)),x44474))),f836(f298(x44471),f836(f836(f35(x44472,f906(x44471,a895)),x44473),x44474))))
% 190.77/190.67 [4488]E(f836(f836(f80(a1,x44881),f836(f94(a1),f836(f836(f74(a1),x44882),a87))),f836(f836(f18(a1,x44881,x44881),f836(f836(f7(a1,x44881,f906(x44881,x44881)),f836(f836(f8(a895,f906(x44881,f906(x44881,x44881)),a1),f86(x44881)),a183)),x44883)),f836(f836(f18(a1,x44881,x44881),f836(f836(f8(a899,f906(x44881,x44881),a1),x44884),a95)),f836(f836(f8(a899,x44881,a1),f174(x44881,x44883,x44884)),a95)))),f836(f174(x44881,x44883,x44884),f836(f94(a899),x44882)))
% 190.77/190.67 [4512]E(f836(f252(f905(x45121,x45122)),f836(f247(x45121,x45122,a895),f836(f836(f7(x45121,f906(x45122,a895),f906(x45122,a895)),f836(f836(f8(f906(a895,a895),f906(f906(x45122,a895),f906(x45122,a895)),x45121),f8(a895,a895,x45122)),f836(f836(f8(a895,f906(a895,a895),x45121),a315),f836(f836(f7(x45121,f906(x45121,a895),a895),f318(x45121)),x45123)))),f836(f836(f7(x45122,f906(x45122,a895),a895),f318(x45122)),x45124)))),f219(x45121,x45122,x45123,x45124))
% 190.77/190.67 [4548]E(f836(f836(f35(x45481,f906(f905(x45481,x45482),a895)),x45483),f836(f836(f18(x45481,f906(x45482,f906(f905(x45481,x45482),a895)),f906(f905(x45481,x45482),a895)),f836(f836(f8(f906(x45482,a895),f906(f906(x45482,f906(f905(x45481,x45482),a895)),f906(f905(x45481,x45482),a895)),x45481),f35(x45482,f906(f905(x45481,x45482),a895))),x45484)),f836(f836(f7(x45481,f906(f905(x45481,x45482),a895),f906(x45482,f906(f905(x45481,x45482),a895))),f836(f836(f8(f906(x45482,f906(f906(f905(x45481,x45482),a895),f906(f905(x45481,x45482),a895))),f906(f906(f905(x45481,x45482),a895),f906(x45482,f906(f905(x45481,x45482),a895))),x45481),f7(x45482,f906(f905(x45481,x45482),a895),f906(f905(x45481,x45482),a895))),f836(f836(f8(f906(x45482,f905(x45481,x45482)),f906(x45482,f906(f906(f905(x45481,x45482),a895),f906(f905(x45481,x45482),a895))),x45481),f836(f8(f905(x45481,x45482),f906(f906(f905(x45481,x45482),a895),f906(f905(x45481,x45482),a895)),x45482),f299(f905(x45481,x45482)))),f242(x45481,x45482)))),f178(f906(f905(x45481,x45482),a895))))),f836(f836(f244(x45481,x45482),x45483),x45484))
% 190.77/190.67 [4115]E(f836(f836(f124(x41151),f836(f836(f165(x41151),x41152),x41153)),f836(f836(f165(x41151),f836(f836(f23(a899),x41152),f836(f179(f900(x41151)),x41153))),x41154)),f836(f836(f165(x41151),x41152),f836(f836(f124(x41151),x41153),x41154)))
% 190.77/190.67 [4116]E(f836(f836(f124(x41161),f836(f836(f128(x41161),x41162),x41163)),f836(f836(f128(x41161),f836(f836(f23(a899),x41162),f836(f179(f900(x41161)),x41163))),x41164)),f836(f836(f128(x41161),x41162),f836(f836(f124(x41161),x41163),x41164)))
% 190.77/190.67 [4165]E(f836(f836(f74(a899),f836(f836(f75(a899),x41651),x41652)),f836(f836(f74(a899),f836(f836(f75(a899),x41653),x41652)),x41654)),f836(f836(f74(a899),f836(f836(f75(a899),f836(f836(f74(a899),x41651),x41653)),x41652)),x41654))
% 190.77/190.67 [4310]E(f84(x43101,f836(f836(f7(x43101,x43102,a895),f836(f836(f8(x43102,f906(x43102,a895),x43101),a314),x43103)),x43104)),f836(f85(x43101,x43102,f232(f906(x43101,a895)),x43103),x43104))
% 190.77/190.67 [4358]P1(f836(f836(f224(f906(x43581,a895)),f836(f836(f23(f906(x43581,a895)),f836(f274(x43582,x43581),x43583)),f836(f274(x43582,x43581),x43584))),f836(f274(x43582,x43581),f836(f836(f23(f906(f905(x43582,x43581),a895)),x43583),x43584))))
% 190.77/190.67 [4359]P1(f836(f836(f224(f906(x43591,a895)),f836(f836(f23(f906(x43591,a895)),f836(f254(x43591,x43592),x43593)),f836(f254(x43591,x43592),x43594))),f836(f254(x43591,x43592),f836(f836(f23(f906(f905(x43591,x43592),a895)),x43593),x43594))))
% 190.77/190.67 [4467]E(f836(f836(f74(a1),f836(a83,f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),f836(f836(f242(a899,a899),x44671),x44672)),f178(f906(f905(a899,a899),a895)))))),f836(a83,f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),f836(f836(f242(a899,a899),x44673),x44674)),f178(f906(f905(a899,a899),a895)))))),f836(a83,f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),f836(f836(f242(a899,a899),f836(f836(f74(a899),x44671),x44673)),f836(f836(f74(a899),x44672),x44674))),f178(f906(f905(a899,a899),a895))))))
% 190.77/190.67 [4507]E(f836(f836(f75(a1),f836(a83,f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),f836(f836(f242(a899,a899),x45071),x45072)),f178(f906(f905(a899,a899),a895)))))),f836(a83,f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),f836(f836(f242(a899,a899),x45073),x45074)),f178(f906(f905(a899,a899),a895)))))),f836(a83,f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),f836(f836(f242(a899,a899),f836(f836(f74(a899),f836(f836(f75(a899),x45071),x45073)),f836(f836(f75(a899),x45072),x45074))),f836(f836(f74(a899),f836(f836(f75(a899),x45071),x45074)),f836(f836(f75(a899),x45072),x45073)))),f178(f906(f905(a899,a899),a895))))))
% 190.77/190.67 [4528]E(f836(f252(x45281),f836(f836(f8(f906(x45282,a895),a895,x45281),f82(x45282)),f836(f836(f8(f906(x45282,a895),f906(x45282,a895),x45281),f836(f18(x45282,a895,a895),f836(f836(f8(a895,f906(a895,a895),x45282),a319),f836(f836(f7(x45282,f906(x45282,a895),a895),f318(x45282)),x45283)))),f836(f836(f7(x45281,f906(x45282,f906(x45281,a895)),f906(x45282,a895)),f836(f836(f8(f906(f906(x45281,a895),a895),f906(f906(x45282,f906(x45281,a895)),f906(x45282,a895)),x45281),f8(f906(x45281,a895),a895,x45282)),f318(x45281))),x45284)))),f836(f836(f36(x45282,f906(x45281,a895)),x45283),x45284))
% 190.77/190.67 [4560]E(f836(f836(f279(x45601,x45601,x45601),f836(f836(f299(f905(x45601,x45601)),f836(f836(f242(x45601,x45601),x45602),x45603)),x45604)),f297(x45601,f836(f836(f299(f905(x45601,x45601)),f836(f836(f242(x45601,x45601),x45602),x45603)),x45604))),f836(f836(f91(f906(f905(x45601,x45601),a895)),f836(f836(f279(x45601,x45601,x45601),x45604),f297(x45601,x45604))),f836(f252(f905(x45601,x45601)),f836(f247(x45601,x45601,a895),f836(f836(f7(x45601,f906(x45601,a895),f906(x45601,a895)),f836(f836(f8(f906(a895,a895),f906(f906(x45601,a895),f906(x45601,a895)),x45601),f8(a895,a895,x45601)),f836(f836(f8(a895,f906(a895,a895),x45601),a315),f836(f836(f7(x45601,f906(f905(x45601,x45601),a895),a895),f836(f836(f8(f905(x45601,x45601),f906(f906(f905(x45601,x45601),a895),a895),x45601),f318(f905(x45601,x45601))),f836(f836(f7(x45601,x45601,f905(x45601,x45601)),f242(x45601,x45601)),x45602))),f297(x45601,x45604))))),f836(f836(f7(x45601,f906(f905(x45601,x45601),a895),a895),f836(f836(f8(f905(x45601,x45601),f906(f906(f905(x45601,x45601),a895),a895),x45601),f318(f905(x45601,x45601))),f836(f242(x45601,x45601),x45603))),f297(x45601,x45604)))))))
% 190.77/190.67 [4360]E(f836(f126(x43601,f836(f836(f18(x43601,a895,a895),f836(f836(f8(a895,f906(a895,a895),x43601),a315),x43602)),x43603)),x43604),f836(f126(x43601,x43603),f836(f126(x43601,x43602),x43604)))
% 190.77/190.67 [4461]E(f836(f836(f124(x44611),f836(f836(f836(f86(f900(x44611)),f836(f836(f318(a899),f2(a899)),x44612)),f836(f836(f141(x44611),x44613),f103(x44611))),f103(x44611))),f166(x44611,x44614,f836(f252(a899),f836(f836(f7(a899,f906(a899,a895),a895),f836(f836(f8(a899,f906(f906(a899,a895),a895),a899),f318(a899)),a102)),x44612)))),f166(x44611,f836(f836(f141(x44611),x44613),x44614),x44612))
% 190.77/190.67 [4556]E(f836(f252(f905(x45561,x45562)),f836(f836(f8(f906(a899,a895),a895,f905(x45561,x45562)),f81(a899)),f836(f836(f7(f905(x45561,x45562),f906(a899,a895),f906(a899,a895)),f836(f836(f8(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),f905(x45561,x45562)),f18(a899,a895,a895)),f836(f836(f8(f906(a899,a895),f906(a899,f906(a895,a895)),f905(x45561,x45562)),f836(f8(a895,f906(a895,a895),a899),a315)),f836(f836(f7(f905(x45561,x45562),f906(a899,f905(x45561,x45562)),f906(a899,a895)),f836(f836(f8(f906(f905(x45561,x45562),a895),f906(f906(a899,f905(x45561,x45562)),f906(a899,a895)),f905(x45561,x45562)),f8(f905(x45561,x45562),a895,a899)),a314)),f836(f836(f18(a899,x45562,f905(x45561,x45562)),f836(f836(f8(x45561,f906(x45562,f905(x45561,x45562)),a899),f242(x45561,x45562)),f836(f154(x45561),x45563))),f836(f154(x45562),x45564)))))),f836(f836(f7(a899,a899,a895),f225(a899)),f836(f836(f228(a899),f836(f179(f900(x45561)),x45563)),f836(f179(f900(x45562)),x45564)))))),f836(f162(f905(x45561,x45562)),f836(f836(f171(x45561,x45562),x45563),x45564)))
% 190.77/190.67 [4480]E(f836(f252(f905(x44801,x44802)),f836(f247(x44801,x44802,a895),f836(f836(f7(x44801,f906(x44802,a895),f906(x44802,a895)),f836(f836(f8(f906(a895,a895),f906(f906(x44802,a895),f906(x44802,a895)),x44801),f8(a895,a895,x44802)),f836(f836(f8(a895,f906(a895,a895),x44801),a315),x44803))),x44804))),f836(f836(f244(x44801,x44802),f836(f252(x44801),x44803)),f836(f16(f906(x44802,a895),x44801),f836(f252(x44802),x44804))))
% 190.77/190.67 [4483]E(f836(f252(f905(x44831,x44832)),f836(f247(x44831,x44832,a895),f836(f836(f18(x44831,f906(x44832,a895),f906(x44832,a895)),f836(f836(f8(f906(a895,a895),f906(f906(x44832,a895),f906(x44832,a895)),x44831),f8(a895,a895,x44832)),f836(f836(f8(a895,f906(a895,a895),x44831),a315),x44833))),x44834))),f836(f836(f244(x44831,x44832),f836(f252(x44831),x44833)),f836(f836(f8(f906(x44832,a895),f906(x44832,a895),x44831),f252(x44832)),x44834)))
% 190.77/190.67 [4495]E(f836(f252(x44951),f836(f836(f8(f906(x44952,a895),a895,x44951),f82(x44952)),f836(f836(f8(f906(x44952,a895),f906(x44952,a895),x44951),f836(f18(x44952,a895,a895),f836(f836(f8(a895,f906(a895,a895),x44952),a319),f836(f836(f7(x44952,f906(x44952,a895),a895),f318(x44952)),x44953)))),x44954))),f836(f836(f36(x44952,f906(x44951,a895)),x44953),f836(f836(f8(f906(x44951,a895),f906(x44951,a895),x44952),f252(x44951)),f836(f7(x44951,x44952,a895),x44954))))
% 190.77/190.67 [4540]E(f836(f836(f144(f905(x45401,a899),x45401),f241(x45401,a899)),f836(f126(f905(x45401,a899),f836(f836(f7(f905(x45401,a899),f906(a899,a895),a895),f836(f836(f8(a899,f906(f906(a899,a895),a895),f905(x45401,a899)),f318(a899)),f246(x45401,a899))),x45402)),f836(f836(f171(x45401,a899),x45403),f129(a899,f836(f292(a899,x45404),f836(f836(f74(a899),x45404),f836(f179(f900(x45401)),x45403))))))),f836(f836(f144(f905(x45401,a899),x45401),f241(x45401,a899)),f836(f126(f905(x45401,a899),f836(f836(f7(f905(x45401,a899),f906(a899,a895),a895),f836(f836(f8(a899,f906(f906(a899,a895),a895),f905(x45401,a899)),f318(a899)),f836(f836(f7(f905(x45401,a899),a899,a899),f836(f836(f8(a899,f906(a899,a899),f905(x45401,a899)),f74(a899)),f246(x45401,a899))),x45404))),x45402)),f836(f836(f171(x45401,a899),x45403),f129(a899,f836(f292(a899,f2(a899)),f836(f179(f900(x45401)),x45403)))))))
% 190.77/190.67 [4541]E(f836(a102,f836(f836(f223(a899),f836(f179(f900(x45411)),x45412)),f836(f132(a899,f900(x45413),f836(f7(f900(x45413),a899,a899),f836(f836(f8(a899,f906(a899,a899),f900(x45413)),f223(a899)),f836(f836(f7(f900(x45413),a899,a899),f836(f836(f8(a899,f906(a899,a899),f900(x45413)),f23(a899)),f179(f900(x45413)))),f836(a102,f2(a899))))),f2(a899)),f836(f158(f900(x45413)),f836(f126(f900(x45413),f836(f836(f8(a895,a895,f900(x45413)),a312),f836(f836(f7(f900(x45413),f900(x45413),a895),a314),f103(x45413)))),x45414))))),f836(f836(f223(a899),f836(a102,f836(f179(f900(x45411)),x45412))),f836(f132(a899,f900(x45413),f836(f7(f900(x45413),a899,a899),f836(f836(f8(a899,f906(a899,a899),f900(x45413)),f223(a899)),f179(f900(x45413)))),f2(a899)),f836(f158(f900(x45413)),x45414))))
% 190.77/190.67 [4494]E(f836(f836(f124(x44941),f166(x44941,x44942,x44943)),f166(x44941,x44944,f836(f252(a899),f836(f836(f7(a899,f906(a899,a895),a895),f836(f836(f8(a899,f906(f906(a899,a895),a895),a899),f318(a899)),f836(f836(f7(a899,a899,a899),f74(a899)),f836(f179(f900(x44941)),x44942)))),x44943)))),f166(x44941,f836(f836(f124(x44941),x44942),x44944),x44943))
% 190.77/190.67 [4542]E(f32(f906(x45421,a895),f836(f252(f906(x45421,a895)),f836(f836(f8(f906(x45422,a895),a895,f906(x45421,a895)),f81(x45422)),f836(f836(f8(f906(x45422,a895),f906(x45422,a895),f906(x45421,a895)),f836(f18(x45422,a895,a895),f836(f836(f8(a895,f906(a895,a895),x45422),a315),f836(f836(f7(x45422,f906(x45422,a895),a895),f318(x45422)),x45423)))),f836(f836(f7(f906(x45421,a895),f906(x45422,f906(x45421,a895)),f906(x45422,a895)),f836(f836(f8(f906(f906(x45421,a895),a895),f906(f906(x45422,f906(x45421,a895)),f906(x45422,a895)),f906(x45421,a895)),f8(f906(x45421,a895),a895,x45422)),a314)),x45424))))),f836(f836(f35(x45422,f906(x45421,a895)),x45423),x45424))
% 190.77/190.67 [4543]E(f33(f906(x45431,a895),f836(f252(f906(x45431,a895)),f836(f836(f8(f906(x45432,a895),a895,f906(x45431,a895)),f81(x45432)),f836(f836(f8(f906(x45432,a895),f906(x45432,a895),f906(x45431,a895)),f836(f18(x45432,a895,a895),f836(f836(f8(a895,f906(a895,a895),x45432),a315),f836(f836(f7(x45432,f906(x45432,a895),a895),f318(x45432)),x45433)))),f836(f836(f7(f906(x45431,a895),f906(x45432,f906(x45431,a895)),f906(x45432,a895)),f836(f836(f8(f906(f906(x45431,a895),a895),f906(f906(x45432,f906(x45431,a895)),f906(x45432,a895)),f906(x45431,a895)),f8(f906(x45431,a895),a895,x45432)),a314)),x45434))))),f836(f836(f36(x45432,f906(x45431,a895)),x45433),x45434))
% 190.77/190.67 [4550]E(f836(f836(f141(f900(x45501)),f836(f836(f141(x45501),x45502),f836(f132(f900(x45501),f900(x45501),f124(x45501),f103(x45501)),f836(f836(f144(f900(x45501),f900(x45501)),f146(f900(x45501),x45501,f103(x45501),f836(f836(f8(f900(x45501),f906(f900(x45501),f900(x45501)),x45501),f16(f900(x45501),f900(x45501))),f836(f836(f7(x45501,f900(x45501),f900(x45501)),f141(x45501)),f103(x45501))))),x45503)))),f169(x45501,f836(f836(f141(f900(x45501)),x45504),f836(f132(f900(f900(x45501)),f900(f900(x45501)),f124(f900(x45501)),f103(f900(x45501))),f836(f836(f144(f900(x45501),f900(f900(x45501))),f146(f900(f900(x45501)),x45501,f103(f900(x45501)),f836(f16(f906(f900(x45501),f900(f900(x45501))),x45501),f836(f836(f7(f900(x45501),f900(f900(x45501)),f900(f900(x45501))),f141(f900(x45501))),f103(f900(x45501)))))),x45503))))),f169(x45501,f836(f836(f141(f900(x45501)),f836(f836(f141(x45501),x45502),x45504)),x45503)))
% 190.77/190.67 [4557]E(f836(f252(f905(x45571,x45571)),f836(f247(x45571,x45571,a895),f836(f836(f7(x45571,f906(f905(x45572,x45572),a895),f906(x45571,a895)),f836(f836(f8(f906(x45571,f906(f906(f905(x45572,x45572),a895),a895)),f906(f906(f905(x45572,x45572),a895),f906(x45571,a895)),x45571),f7(x45571,f906(f905(x45572,x45572),a895),a895)),f836(f836(f8(f906(x45571,f905(x45572,x45572)),f906(x45571,f906(f906(f905(x45572,x45572),a895),a895)),x45571),f836(f8(f905(x45572,x45572),f906(f906(f905(x45572,x45572),a895),a895),x45571),f318(f905(x45572,x45572)))),f836(f836(f7(x45571,f906(x45571,x45572),f906(x45571,f905(x45572,x45572))),f836(f836(f8(f906(x45572,f905(x45572,x45572)),f906(f906(x45571,x45572),f906(x45571,f905(x45572,x45572))),x45571),f8(x45572,f905(x45572,x45572),x45571)),f836(f836(f8(x45572,f906(x45572,f905(x45572,x45572)),x45571),f242(x45572,x45572)),x45573))),x45573)))),x45574))),f836(f836(f278(x45572,x45571),x45574),x45573))
% 190.77/190.67 [3699]E(f836(f836(f144(x36991,x36992),x36993),f159(x36991,x36994,x36995)),f159(x36992,x36994,f836(x36993,x36995)))
% 190.77/190.67 [4029]E(f120(x40291,x40292,x40293,f116(x40291,x40294,x40295)),f116(x40292,f836(x40293,x40294),f120(x40291,x40292,x40293,x40295)))
% 190.77/190.67 [4259]E(f836(f69(x42591,x42592,x42593,x42594,x42595),x42594),x42595)
% 190.77/190.67 [4311]E(f243(x43111,x43112,x43113,f233(x43112,x43111,x43114),f233(x43113,x43112,x43115)),f233(x43113,x43111,f243(x43113,x43112,x43111,x43115,x43114)))
% 190.77/190.67 [3890]E(f836(f836(f247(x38901,x38902,x38903),x38904),x38905),f836(f836(x38904,f836(f241(x38901,x38902),x38905)),f836(f246(x38901,x38902),x38905)))
% 190.77/190.67 [3924]E(f836(f836(f836(f60(x39241,x39242,x39243),x39244),x39245),f178(f906(x39242,a895))),x39245)
% 190.77/190.67 [4199]E(f836(f67(f900(x41991),f900(x41992),f900(x41993),f836(f144(x41991,x41992),x41994)),f836(f144(x41993,x41991),x41995)),f836(f144(x41993,x41992),f836(f67(x41991,x41992,x41993,x41994),x41995)))
% 190.77/190.67 [4273]E(f79(x42731,f61(x42732,x42731,x42733,x42734,x42735)),f836(f836(f59(x42732,x42731,x42733),x42734),x42735))
% 190.77/190.67 [4307]E(f836(f836(f74(a899),f836(f836(f74(a899),f836(x43071,f836(f241(x43072,x43073),x43074))),f836(x43075,f836(f246(x43072,x43073),x43074)))),f836(a102,f2(a899))),f251(x43072,x43073,x43071,x43075,x43074))
% 190.77/190.67 [3827]E(f836(f836(f165(x38271),x38272),f836(f836(f144(x38273,x38271),x38274),x38275)),f836(f836(f144(x38273,x38271),x38274),f836(f836(f165(x38273),x38272),x38275)))
% 190.77/190.67 [3828]E(f836(f836(f128(x38281),x38282),f836(f836(f144(x38283,x38281),x38284),x38285)),f836(f836(f144(x38283,x38281),x38284),f836(f836(f128(x38283),x38282),x38285)))
% 190.77/190.67 [3859]E(f836(f836(f144(x38591,x38592),x38593),f836(f836(f141(x38591),x38594),x38595)),f836(f836(f141(x38592),f836(x38593,x38594)),f836(f836(f144(x38591,x38592),x38593),x38595)))
% 190.77/190.67 [3920]E(f836(f300(x39201,x39202,x39203),f836(f836(f299(x39201),x39204),x39205)),f836(f836(f299(x39202),f836(x39203,x39204)),f836(f300(x39201,x39202,x39203),x39205)))
% 190.77/190.67 [3948]E(f163(x39481,f836(f836(f141(x39481),x39482),x39483),f836(f836(f141(x39481),x39484),x39485)),f836(f836(f141(x39481),x39482),f836(f836(f141(x39481),x39484),f163(x39481,x39483,x39485))))
% 190.77/190.67 [3984]E(f836(f836(f171(x39841,x39842),f836(f836(f165(x39841),x39843),x39844)),f836(f836(f165(x39842),x39843),x39845)),f836(f836(f165(f905(x39841,x39842)),x39843),f836(f836(f171(x39841,x39842),x39844),x39845)))
% 190.77/190.67 [3985]E(f836(f836(f171(x39851,x39852),f836(f836(f128(x39851),x39853),x39854)),f836(f836(f128(x39852),x39853),x39855)),f836(f836(f128(f905(x39851,x39852)),x39853),f836(f836(f171(x39851,x39852),x39854),x39855)))
% 190.77/190.67 [3994]E(f836(f836(f149(x39941,f836(f836(f141(x39941),x39942),x39943)),f836(a102,x39944)),x39945),f836(f836(f141(x39941),x39942),f836(f836(f149(x39941,x39943),x39944),x39945)))
% 190.77/190.67 [3997]E(f836(f836(f124(x39971),f836(f836(f144(x39972,x39971),x39973),x39974)),f836(f836(f144(x39972,x39971),x39973),x39975)),f836(f836(f144(x39972,x39971),x39973),f836(f836(f124(x39972),x39974),x39975)))
% 190.77/190.67 [4001]E(f836(f836(x40011,x40012),f836(f836(f235(x40013,x40014,x40011),x40012),x40015)),f836(f836(f235(x40013,x40014,x40011),x40012),f836(a102,x40015)))
% 190.77/190.67 [4033]E(f153(x40331,x40332,x40333,f836(f836(f141(x40331),x40334),x40335)),f836(f836(f124(x40332),f836(x40333,x40334)),f153(x40331,x40332,x40333,x40335)))
% 190.77/190.67 [4045]E(f836(f836(f279(x40451,x40452,x40453),f836(f276(x40452,x40451),x40454)),f836(f276(x40453,x40452),x40455)),f836(f276(x40453,x40451),f836(f836(f279(x40453,x40452,x40451),x40455),x40454)))
% 190.77/190.67 [4077]E(f836(f836(f836(f173(f900(x40771),f900(x40771)),x40772),f157(x40771)),f836(f836(f144(x40773,x40771),x40774),x40775)),f836(f836(f144(x40773,x40771),x40774),f836(f836(f836(f173(f900(x40773),f900(x40773)),x40772),f157(x40773)),x40775)))
% 190.77/190.67 [4078]E(f836(f836(f249(x40781,x40782,x40781,x40783),f836(f242(x40782,x40781),x40784)),x40785),f836(x40785,x40784))
% 190.77/190.67 [4101]E(f145(x41011,x41012,f836(f836(f144(x41013,x41011),x41014),x41015)),f145(x41013,f836(f67(x41011,a899,x41013,x41012),x41014),x41015))
% 190.77/190.67 [4164]E(f167(f905(x41641,x41642),f836(f67(x41642,a895,f905(x41641,x41642),x41643),f246(x41641,x41642)),f836(f836(f171(x41641,x41642),x41644),x41645)),f836(f836(f171(x41641,x41642),x41644),f167(x41642,x41643,x41645)))
% 190.77/190.67 [4169]E(f836(f300(x41691,x41692,f836(f836(f8(x41693,x41692,x41691),x41694),x41695)),f232(f906(x41691,a895))),f836(f300(x41693,x41692,x41694),f836(f300(x41691,x41693,x41695),f232(f906(x41691,a895)))))
% 190.77/190.67 [4182]E(f167(f905(x41821,x41822),f836(f67(x41821,a895,f905(x41821,x41822),x41823),f241(x41821,x41822)),f836(f836(f171(x41821,x41822),x41824),x41825)),f836(f836(f171(x41821,x41822),f167(x41821,x41823,x41824)),x41825))
% 190.77/190.67 [4203]E(f836(f836(f91(f906(x42031,a895)),f836(f301(x42031,x42032,x42033),f836(f836(f299(x42032),x42034),f178(f906(x42032,a895))))),f836(f301(x42031,x42032,x42033),x42035)),f836(f301(x42031,x42032,x42033),f836(f836(f299(x42032),x42034),x42035)))
% 190.77/190.67 [4258]E(f836(f836(f124(f905(x42581,x42582)),f836(f836(f144(x42582,f905(x42581,x42582)),f836(f242(x42581,x42582),x42583)),x42584)),f55(x42581,x42582,x42585,x42584)),f55(x42581,x42582,f836(f836(f141(x42581),x42583),x42585),x42584))
% 190.77/190.67 [4260]E(f836(f836(f144(x42601,x42602),x42603),f167(x42601,f836(f67(x42602,a895,x42601,x42604),x42603),x42605)),f167(x42602,x42604,f836(f836(f144(x42601,x42602),x42603),x42605)))
% 190.77/190.67 [4265]E(f836(f132(x42651,x42652,f836(f7(x42652,x42651,x42651),f836(f7(x42651,x42652,x42651),x42653)),x42654),f836(f158(x42652),f836(f158(x42652),x42655))),f836(f132(x42651,x42652,x42653,x42654),x42655))
% 190.77/190.67 [4368]P1(f836(f836(f224(f906(x43681,a895)),f836(f300(x43682,x43681,x43683),f836(f836(f92(f906(x43682,a895)),x43684),x43685))),f836(f836(f92(f906(x43681,a895)),f836(f300(x43682,x43681,x43683),x43684)),f836(f300(x43682,x43681,x43683),x43685))))
% 190.77/190.67 [4369]P1(f836(f836(f224(f906(x43691,a895)),f836(f275(x43692,x43691,x43693),f836(f836(f92(f906(x43692,a895)),x43694),x43695))),f836(f836(f92(f906(x43691,a895)),f836(f275(x43692,x43691,x43693),x43694)),f836(f275(x43692,x43691,x43693),x43695))))
% 190.77/190.67 [4468]E(f836(f246(x44681,x44682),f836(f248(x44683,x44681,x44682,x44682,x44684,f25(x44682)),x44685)),f836(f246(x44683,x44682),x44685))
% 190.77/190.67 [4469]E(f836(f241(x44691,x44692),f836(f248(x44691,x44691,x44693,x44692,f25(x44691),x44694),x44695)),f836(f241(x44691,x44693),x44695))
% 190.77/190.67 [3671]E(f836(f836(f836(f836(f194(x36711),x36712),x36713),x36714),x36715),f182(x36711,x36712))
% 190.77/190.67 [3672]E(f836(f836(f836(f836(f198(x36721),x36722),x36723),x36724),x36725),f189(x36721,x36722))
% 190.77/190.67 [4034]E(f836(f836(f35(x40341,f906(x40342,a895)),f836(f836(f299(x40341),x40343),x40344)),x40345),f836(f836(f91(f906(x40342,a895)),f836(x40345,x40343)),f836(f836(f35(x40341,f906(x40342,a895)),x40344),x40345)))
% 190.77/190.67 [4035]E(f836(f836(f36(x40351,f906(x40352,a895)),f836(f836(f299(x40351),x40353),x40354)),x40355),f836(f836(f92(f906(x40352,a895)),f836(x40355,x40353)),f836(f836(f36(x40351,f906(x40352,a895)),x40354),x40355)))
% 190.77/190.67 [4085]E(f836(f108(x40851,x40852,f836(x40853,x40854)),f836(f836(f7(x40851,a89,f901(x40852)),x40855),x40854)),f836(f187(x40851,x40852,x40853,x40855),x40854))
% 190.77/190.67 [4095]E(f836(f836(f91(f906(x40951,a895)),f836(f300(x40952,x40951,x40953),x40954)),f836(f300(x40952,x40951,x40953),x40955)),f836(f300(x40952,x40951,x40953),f836(f836(f91(f906(x40952,a895)),x40954),x40955)))
% 190.77/190.67 [4096]E(f836(f836(f91(f906(x40961,a895)),f836(f275(x40962,x40961,x40963),x40964)),f836(f275(x40962,x40961,x40963),x40965)),f836(f275(x40962,x40961,x40963),f836(f836(f91(f906(x40962,a895)),x40964),x40965)))
% 190.77/190.67 [4097]E(f836(f836(f23(f906(x40971,a895)),f836(f301(x40971,x40972,x40973),x40974)),f836(f301(x40971,x40972,x40973),x40975)),f836(f301(x40971,x40972,x40973),f836(f836(f23(f906(x40972,a895)),x40974),x40975)))
% 190.77/190.67 [4098]E(f836(f836(f91(f906(x40981,a895)),f836(f301(x40981,x40982,x40983),x40984)),f836(f301(x40981,x40982,x40983),x40985)),f836(f301(x40981,x40982,x40983),f836(f836(f91(f906(x40982,a895)),x40984),x40985)))
% 190.77/190.67 [4099]E(f836(f836(f92(f906(x40991,a895)),f836(f301(x40991,x40992,x40993),x40994)),f836(f301(x40991,x40992,x40993),x40995)),f836(f301(x40991,x40992,x40993),f836(f836(f92(f906(x40992,a895)),x40994),x40995)))
% 190.77/190.67 [4160]E(f836(f836(f149(x41601,f836(f836(f124(x41601),x41602),f836(f836(f141(x41601),x41603),x41604))),f836(f179(f900(x41601)),x41602)),x41605),f836(f836(f124(x41601),x41602),f836(f836(f141(x41601),x41605),x41604)))
% 190.77/190.67 [4167]E(f836(f836(f36(x41671,f906(x41672,a895)),x41673),f836(f836(f8(f906(x41672,a895),f906(x41672,a895),x41671),f836(f299(x41672),x41674)),x41675)),f836(f836(f299(x41672),x41674),f836(f836(f36(x41671,f906(x41672,a895)),x41673),x41675)))
% 190.77/190.67 [4320]E(f836(f836(f144(x43201,x43202),x43203),f836(f126(x43201,f836(f67(x43202,a895,x43201,x43204),x43203)),x43205)),f836(f126(x43202,x43204),f836(f836(f144(x43201,x43202),x43203),x43205)))
% 190.77/190.67 [4326]E(f836(f179(f900(x43261)),f836(f126(x43261,x43262),f836(f836(f144(x43263,x43261),x43264),x43265))),f836(f179(f900(x43263)),f836(f126(x43263,f836(f67(x43261,a895,x43263,x43262),x43264)),x43265)))
% 190.77/190.67 [4533]E(f836(f146(f900(f905(x45331,x45332)),x45332,f103(f905(x45331,x45332)),f836(f836(f7(x45332,f906(f900(x45332),f900(f905(x45331,x45332))),f906(f900(x45332),f900(f905(x45331,x45332)))),f836(f836(f8(f906(f900(f905(x45331,x45332)),f900(f905(x45331,x45332))),f906(f906(f900(x45332),f900(f905(x45331,x45332))),f906(f900(x45332),f900(f905(x45331,x45332)))),x45332),f8(f900(f905(x45331,x45332)),f900(f905(x45331,x45332)),f900(x45332))),f836(f836(f8(f905(x45331,x45332),f906(f900(f905(x45331,x45332)),f900(f905(x45331,x45332))),x45332),f141(f905(x45331,x45332))),f836(f242(x45331,x45332),x45333)))),f836(f171(x45331,x45332),x45334))),x45335),f836(f836(f171(x45331,x45332),f836(f836(f141(x45331),x45333),x45334)),x45335))
% 190.77/190.67 [4026]E(f836(f836(f149(x40261,f836(f836(f149(x40261,x40262),x40263),x40264)),x40263),x40265),f836(f836(f149(x40261,x40262),x40263),x40265))
% 190.77/190.67 [4079]E(f836(f274(x40791,x40792),f836(f836(f299(f905(x40791,x40792)),f836(f836(f242(x40791,x40792),x40793),x40794)),x40795)),f836(f836(f299(x40792),x40794),f836(f274(x40791,x40792),x40795)))
% 190.77/190.67 [4080]E(f836(f254(x40801,x40802),f836(f836(f299(f905(x40801,x40802)),f836(f836(f242(x40801,x40802),x40803),x40804)),x40805)),f836(f836(f299(x40801),x40803),f836(f254(x40801,x40802),x40805)))
% 190.77/190.67 [4125]E(f112(x41251,x41252,f836(x41253,x41254),f836(f836(f7(x41251,a89,f901(f902(x41252))),x41255),x41254)),f836(f185(x41251,x41252,x41253,x41255),x41254))
% 190.77/190.67 [4153]E(f836(f836(f23(f906(f905(x41531,x41532),a895)),f836(f836(f244(x41531,x41532),x41533),x41534)),f836(f836(f244(x41531,x41532),x41535),x41534)),f836(f836(f244(x41531,x41532),f836(f836(f23(f906(x41531,a895)),x41533),x41535)),x41534))
% 190.77/190.67 [4154]E(f836(f836(f91(f906(f905(x41541,x41542),a895)),f836(f836(f244(x41541,x41542),x41543),x41544)),f836(f836(f244(x41541,x41542),x41545),x41544)),f836(f836(f244(x41541,x41542),f836(f836(f91(f906(x41541,a895)),x41543),x41545)),x41544))
% 190.77/190.67 [4155]E(f836(f836(f92(f906(f905(x41551,x41552),a895)),f836(f836(f244(x41551,x41552),x41553),x41554)),f836(f836(f244(x41551,x41552),x41555),x41554)),f836(f836(f244(x41551,x41552),f836(f836(f92(f906(x41551,a895)),x41553),x41555)),x41554))
% 190.77/190.67 [4214]E(f836(f836(f91(f906(x42141,a895)),f836(f836(f35(x42142,f906(x42141,a895)),x42143),x42144)),f836(f836(f35(x42142,f906(x42141,a895)),x42145),x42144)),f836(f836(f35(x42142,f906(x42141,a895)),f836(f836(f91(f906(x42142,a895)),x42143),x42145)),x42144))
% 190.77/190.67 [4215]E(f836(f836(f92(f906(x42151,a895)),f836(f836(f36(x42152,f906(x42151,a895)),x42153),x42154)),f836(f836(f36(x42152,f906(x42151,a895)),x42155),x42154)),f836(f836(f36(x42152,f906(x42151,a895)),f836(f836(f91(f906(x42152,a895)),x42153),x42155)),x42154))
% 190.77/190.67 [4229]E(f836(f836(f35(x42291,f906(x42292,a895)),x42293),f836(f836(f8(f906(x42292,a895),f906(x42292,a895),x42291),f836(f23(f906(x42292,a895)),x42294)),x42295)),f836(f836(f23(f906(x42292,a895)),x42294),f836(f836(f36(x42291,f906(x42292,a895)),x42293),x42295)))
% 190.77/190.67 [4230]E(f836(f836(f35(x42301,f906(x42302,a895)),x42303),f836(f836(f8(f906(x42302,a895),f906(x42302,a895),x42301),f836(f92(f906(x42302,a895)),x42304)),x42305)),f836(f836(f92(f906(x42302,a895)),x42304),f836(f836(f35(x42301,f906(x42302,a895)),x42303),x42305)))
% 190.77/190.67 [4231]E(f836(f836(f36(x42311,f906(x42312,a895)),x42313),f836(f836(f8(f906(x42312,a895),f906(x42312,a895),x42311),f836(f91(f906(x42312,a895)),x42314)),x42315)),f836(f836(f91(f906(x42312,a895)),x42314),f836(f836(f36(x42311,f906(x42312,a895)),x42313),x42315)))
% 190.77/190.67 [4285]E(f175(f900(x42851),f836(f836(f141(x42851),x42852),x42853),f836(f836(f8(f900(x42851),f900(x42851),a899),f836(f141(x42851),x42854)),f836(f836(f7(a899,x42851,f900(x42851)),f149(x42851,x42853)),x42852)),x42855),f836(f836(f149(x42851,f836(f836(f141(x42851),x42854),x42853)),x42855),x42852))
% 190.77/190.67 [4289]E(f836(f836(f35(x42891,f906(f905(x42892,x42893),a895)),x42894),f836(f836(f8(f906(f905(x42893,x42892),a895),f906(f905(x42892,x42893),a895),x42891),f276(x42893,x42892)),x42895)),f836(f276(x42893,x42892),f836(f836(f35(x42891,f906(f905(x42893,x42892),a895)),x42894),x42895)))
% 190.77/190.67 [4290]E(f836(f836(f36(x42901,f906(f905(x42902,x42903),a895)),x42904),f836(f836(f8(f906(f905(x42903,x42902),a895),f906(f905(x42902,x42903),a895),x42901),f276(x42903,x42902)),x42905)),f836(f276(x42903,x42902),f836(f836(f36(x42901,f906(f905(x42903,x42902),a895)),x42904),x42905)))
% 190.77/190.67 [4391]P1(f836(f836(f224(f906(x43911,a895)),f836(f836(f23(f906(x43911,a895)),f836(f300(x43912,x43911,x43913),x43914)),f836(f300(x43912,x43911,x43913),x43915))),f836(f300(x43912,x43911,x43913),f836(f836(f23(f906(x43912,a895)),x43914),x43915))))
% 190.77/190.67 [4536]E(f836(f146(f900(f905(x45361,x45362)),x45361,f103(f905(x45361,x45362)),f836(f836(f7(x45361,f906(f900(x45361),f900(f905(x45361,x45362))),f906(f900(x45361),f900(f905(x45361,x45362)))),f836(f836(f8(f906(f900(f905(x45361,x45362)),f900(f905(x45361,x45362))),f906(f906(f900(x45361),f900(f905(x45361,x45362))),f906(f900(x45361),f900(f905(x45361,x45362)))),x45361),f8(f900(f905(x45361,x45362)),f900(f905(x45361,x45362)),f900(x45361))),f836(f836(f8(f905(x45361,x45362),f906(f900(f905(x45361,x45362)),f900(f905(x45361,x45362))),x45361),f141(f905(x45361,x45362))),f836(f836(f7(x45361,x45362,f905(x45361,x45362)),f242(x45361,x45362)),x45363)))),f836(f836(f7(f900(x45361),f900(x45362),f900(f905(x45361,x45362))),f171(x45361,x45362)),x45364))),x45365),f836(f836(f171(x45361,x45362),x45365),f836(f836(f141(x45362),x45363),x45364)))
% 190.77/190.67 [4254]E(f836(f836(f91(f906(x42541,a895)),f836(f275(x42542,x42541,x42543),x42544)),f836(f275(x42542,x42541,x42545),x42544)),f836(f275(x42542,x42541,f836(f836(f91(f906(f905(x42542,x42541),a895)),x42543),x42545)),x42544))
% 190.77/190.67 [4291]E(f836(f836(f124(f905(x42911,x42912)),f836(f836(f171(x42911,x42912),x42913),f836(f836(f165(x42912),f836(f179(f900(x42911)),x42913)),x42914))),f836(f836(f171(x42911,x42912),x42915),f836(f836(f128(x42912),f836(f179(f900(x42911)),x42913)),x42914))),f836(f836(f171(x42911,x42912),f836(f836(f124(x42911),x42913),x42915)),x42914))
% 190.77/190.67 [4394]E(f836(f836(f244(x43941,x43942),x43943),f836(f836(f18(x43941,f906(x43942,a895),f906(x43942,a895)),f836(f836(f8(f906(x43942,a895),f906(f906(x43942,a895),f906(x43942,a895)),x43941),f23(f906(x43942,a895))),x43944)),x43945)),f836(f836(f23(f906(f905(x43941,x43942),a895)),f836(f836(f244(x43941,x43942),x43943),x43944)),f836(f836(f244(x43941,x43942),x43943),x43945)))
% 190.77/190.67 [4395]E(f836(f836(f244(x43951,x43952),x43953),f836(f836(f18(x43951,f906(x43952,a895),f906(x43952,a895)),f836(f836(f8(f906(x43952,a895),f906(f906(x43952,a895),f906(x43952,a895)),x43951),f91(f906(x43952,a895))),x43954)),x43955)),f836(f836(f91(f906(f905(x43951,x43952),a895)),f836(f836(f244(x43951,x43952),x43953),x43954)),f836(f836(f244(x43951,x43952),x43953),x43955)))
% 190.77/190.67 [4396]E(f836(f836(f244(x43961,x43962),x43963),f836(f836(f18(x43961,f906(x43962,a895),f906(x43962,a895)),f836(f836(f8(f906(x43962,a895),f906(f906(x43962,a895),f906(x43962,a895)),x43961),f92(f906(x43962,a895))),x43964)),x43965)),f836(f836(f92(f906(f905(x43961,x43962),a895)),f836(f836(f244(x43961,x43962),x43963),x43964)),f836(f836(f244(x43961,x43962),x43963),x43965)))
% 190.77/190.67 [4400]E(f836(f836(f35(x44001,f906(x44002,a895)),x44003),f836(f836(f7(x44001,f906(x44002,a895),f906(x44002,a895)),f836(f836(f8(f906(x44002,a895),f906(f906(x44002,a895),f906(x44002,a895)),x44001),f23(f906(x44002,a895))),x44004)),x44005)),f836(f836(f23(f906(x44002,a895)),f836(f836(f35(x44001,f906(x44002,a895)),x44003),x44004)),x44005))
% 190.77/190.67 [4401]E(f836(f836(f35(x44011,f906(x44012,a895)),x44013),f836(f836(f7(x44011,f906(x44012,a895),f906(x44012,a895)),f836(f836(f8(f906(x44012,a895),f906(f906(x44012,a895),f906(x44012,a895)),x44011),f92(f906(x44012,a895))),x44014)),x44015)),f836(f836(f92(f906(x44012,a895)),f836(f836(f35(x44011,f906(x44012,a895)),x44013),x44014)),x44015))
% 190.77/190.67 [4402]E(f836(f836(f36(x44021,f906(x44022,a895)),x44023),f836(f836(f7(x44021,f906(x44022,a895),f906(x44022,a895)),f836(f836(f8(f906(x44022,a895),f906(f906(x44022,a895),f906(x44022,a895)),x44021),f91(f906(x44022,a895))),x44024)),x44025)),f836(f836(f91(f906(x44022,a895)),f836(f836(f36(x44021,f906(x44022,a895)),x44023),x44024)),x44025))
% 190.77/190.67 [4406]E(f836(f836(f35(x44061,f906(x44062,a895)),x44063),f836(f836(f18(x44061,f906(x44062,a895),f906(x44062,a895)),f836(f836(f8(f906(x44062,a895),f906(f906(x44062,a895),f906(x44062,a895)),x44061),f91(f906(x44062,a895))),x44064)),x44065)),f836(f836(f91(f906(x44062,a895)),f836(f836(f35(x44061,f906(x44062,a895)),x44063),x44064)),f836(f836(f35(x44061,f906(x44062,a895)),x44063),x44065)))
% 190.77/190.67 [4407]E(f836(f836(f36(x44071,f906(x44072,a895)),x44073),f836(f836(f18(x44071,f906(x44072,a895),f906(x44072,a895)),f836(f836(f8(f906(x44072,a895),f906(f906(x44072,a895),f906(x44072,a895)),x44071),f92(f906(x44072,a895))),x44074)),x44075)),f836(f836(f92(f906(x44072,a895)),f836(f836(f36(x44071,f906(x44072,a895)),x44073),x44074)),f836(f836(f36(x44071,f906(x44072,a895)),x44073),x44075)))
% 190.77/190.67 [4420]E(f836(f836(f35(x44201,f906(x44202,a895)),x44203),f836(f836(f18(x44201,f906(x44202,a895),f906(x44202,a895)),f836(f836(f8(f906(x44202,a895),f906(f906(x44202,a895),f906(x44202,a895)),x44201),f91(f906(x44202,a895))),x44204)),x44205)),f836(f836(f91(f906(x44202,a895)),f32(f906(x44202,a895),f836(f300(x44201,f906(x44202,a895),x44204),x44203))),f32(f906(x44202,a895),f836(f300(x44201,f906(x44202,a895),x44205),x44203))))
% 190.77/190.67 [4421]E(f836(f836(f36(x44211,f906(x44212,a895)),x44213),f836(f836(f18(x44211,f906(x44212,a895),f906(x44212,a895)),f836(f836(f8(f906(x44212,a895),f906(f906(x44212,a895),f906(x44212,a895)),x44211),f92(f906(x44212,a895))),x44214)),x44215)),f836(f836(f92(f906(x44212,a895)),f33(f906(x44212,a895),f836(f300(x44211,f906(x44212,a895),x44214),x44213))),f33(f906(x44212,a895),f836(f300(x44211,f906(x44212,a895),x44215),x44213))))
% 190.77/190.67 [4457]E(f836(f836(f128(x44571),f836(f179(f900(x44571)),f167(x44571,x44572,f836(f836(f144(x44573,x44571),x44574),x44575)))),f836(f836(f144(x44573,x44571),x44574),x44575)),f836(f836(f144(x44573,x44571),x44574),f836(f836(f128(x44573),f836(f179(f900(x44573)),f167(x44573,f836(f67(x44571,a895,x44573,x44572),x44574),x44575))),x44575)))
% 190.77/190.67 [4333]E(f836(f836(f124(f905(x43331,x43332)),f836(f836(f171(x43331,x43332),f836(f836(f165(x43331),f836(f179(f900(x43332)),x43333)),x43334)),x43333)),f836(f836(f171(x43331,x43332),f836(f836(f128(x43331),f836(f179(f900(x43332)),x43333)),x43334)),x43335)),f836(f836(f171(x43331,x43332),x43334),f836(f836(f124(x43332),x43333),x43335)))
% 190.77/190.67 [4448]E(f79(x44481,f836(f836(f18(x44481,a895,a895),f836(f836(f8(a895,f906(a895,a895),x44481),a315),f836(f836(f7(x44481,f906(x44481,a895),a895),f318(x44481)),x44482))),f836(f836(f7(x44481,x44483,a895),f836(f836(f8(x44483,f906(x44483,a895),x44481),a314),x44484)),x44485))),f836(f71(x44481,x44483,x44482,x44484),x44485))
% 190.77/190.67 [4449]E(f84(x44491,f836(f836(f18(x44491,a895,a895),f836(f836(f8(a895,f906(a895,a895),x44491),a315),f836(f836(f7(x44491,f906(x44491,a895),a895),f318(x44491)),x44492))),f836(f836(f7(x44491,x44493,a895),f836(f836(f8(x44493,f906(x44493,a895),x44491),a314),x44494)),x44495))),f836(f85(x44491,x44493,x44492,x44494),x44495))
% 190.77/190.67 [4497]E(f836(f836(f80(a1,x44971),f836(f94(a1),f836(f836(f74(a1),x44972),a87))),f836(f836(f18(a1,x44971,x44971),f836(f836(f7(a1,x44971,f906(x44971,x44971)),f836(f836(f8(a895,f906(x44971,f906(x44971,x44971)),a1),f86(x44971)),a183)),f175(x44971,x44973,x44974,x44975))),f836(f836(f8(a899,x44971,a1),x44974),f836(f836(f7(a1,a899,a899),f836(f836(f8(a899,f906(a899,a899),a1),f74(a899)),a95)),x44975)))),f175(x44971,x44973,x44974,f836(f836(f74(a899),f836(f94(a899),x44972)),x44975)))
% 190.77/190.67 [4532]E(f836(f836(f80(a1,x45321),f836(f94(a1),f836(f836(f74(a1),x45322),a87))),f836(f836(f18(a1,x45321,x45321),f836(f836(f7(a1,x45321,f906(x45321,x45321)),f836(f836(f8(a895,f906(x45321,f906(x45321,x45321)),a1),f86(x45321)),a183)),f836(f174(x45321,x45323,x45324),x45325))),f836(f836(f18(a1,x45321,x45321),f836(f836(f8(a899,f906(x45321,x45321),a1),x45324),f836(f836(f7(a1,a899,a899),f836(f836(f8(a899,f906(a899,a899),a1),f74(a899)),a95)),x45325))),f836(f836(f8(a899,x45321,a1),f174(x45321,x45323,x45324)),f836(f836(f7(a1,a899,a899),f836(f836(f8(a899,f906(a899,a899),a1),f74(a899)),a95)),x45325))))),f836(f174(x45321,x45323,x45324),f836(f836(f74(a899),f836(f94(a899),x45322)),x45325)))
% 190.77/190.67 [4565]E(f836(f252(f905(x45651,x45652)),f836(f247(x45651,x45652,a895),f836(f836(f8(f906(x45652,f906(x45653,a895)),f906(x45652,a895),x45651),f836(f8(f906(x45653,a895),a895,x45652),f81(x45653))),f836(f836(f7(x45651,f906(x45652,f906(x45653,a895)),f906(x45652,f906(x45653,a895))),f836(f836(f8(f906(f906(x45653,a895),f906(x45653,a895)),f906(f906(x45652,f906(x45653,a895)),f906(x45652,f906(x45653,a895))),x45651),f8(f906(x45653,a895),f906(x45653,a895),x45652)),f836(f836(f8(f906(x45653,f906(a895,a895)),f906(f906(x45653,a895),f906(x45653,a895)),x45651),f18(x45653,a895,a895)),f836(f836(f8(f906(x45653,a895),f906(x45653,f906(a895,a895)),x45651),f836(f8(a895,f906(a895,a895),x45653),a315)),f836(f836(f7(x45651,f906(f905(x45651,x45653),a895),f906(x45653,a895)),f836(f836(f8(f906(x45653,f906(f906(f905(x45651,x45653),a895),a895)),f906(f906(f905(x45651,x45653),a895),f906(x45653,a895)),x45651),f7(x45653,f906(f905(x45651,x45653),a895),a895)),f836(f836(f8(f906(x45653,f905(x45651,x45653)),f906(x45653,f906(f906(f905(x45651,x45653),a895),a895)),x45651),f836(f8(f905(x45651,x45653),f906(f906(f905(x45651,x45653),a895),a895),x45653),f318(f905(x45651,x45653)))),f242(x45651,x45653)))),x45654))))),f836(f836(f7(x45652,f906(f905(x45653,x45652),a895),f906(x45653,a895)),f836(f836(f8(f906(x45653,f906(f906(f905(x45653,x45652),a895),a895)),f906(f906(f905(x45653,x45652),a895),f906(x45653,a895)),x45652),f7(x45653,f906(f905(x45653,x45652),a895),a895)),f836(f836(f8(f906(x45653,f905(x45653,x45652)),f906(x45653,f906(f906(f905(x45653,x45652),a895),a895)),x45652),f836(f8(f905(x45653,x45652),f906(f906(f905(x45653,x45652),a895),a895),x45653),f318(f905(x45653,x45652)))),f836(f7(x45653,x45652,f905(x45653,x45652)),f242(x45653,x45652))))),x45655))))),f836(f836(f279(x45651,x45653,x45652),x45654),x45655))
% 190.77/190.67 [4183]E(f214(x41831,x41832,x41833,x41834,f210(x41831,x41832,x41835,x41836)),f836(f836(x41834,x41835),x41836))
% 190.77/190.67 [4184]E(f215(x41841,x41842,x41843,x41844,f210(x41841,x41842,x41845,x41846)),f836(f836(x41844,x41845),x41846))
% 190.77/190.67 [4309]E(f117(x43091,x43092,x43093,x43094,f116(x43092,x43095,x43096)),f836(f836(f836(x43094,x43095),x43096),f117(x43091,x43092,x43093,x43094,x43096)))
% 190.77/190.67 [4328]E(f69(x43281,x43282,f69(x43281,x43282,x43283,x43284,x43285),x43284,x43286),f69(x43281,x43282,x43283,x43284,x43286))
% 190.77/190.67 [4436]E(f836(f67(f905(x44361,x44362),x44362,f905(x44363,x44364),f246(x44361,x44362)),f248(x44363,x44361,x44364,x44362,x44365,x44366)),f836(f67(x44364,x44362,f905(x44363,x44364),x44366),f246(x44363,x44364)))
% 190.77/190.67 [4437]E(f836(f67(f905(x44371,x44372),x44371,f905(x44373,x44374),f241(x44371,x44372)),f248(x44373,x44371,x44374,x44372,x44375,x44376)),f836(f67(x44373,x44371,f905(x44373,x44374),x44375),f241(x44373,x44374)))
% 190.77/190.67 [4055]E(f836(f836(f67(x40551,x40552,x40553,x40554),x40555),x40556),f836(x40554,f836(x40555,x40556)))
% 190.77/190.67 [4193]E(f213(x41931,f905(x41932,f901(x41932)),x41933,f836(f247(x41932,f901(x41932),x41931),x41934),f836(f125(x41932),f116(x41932,x41935,x41936))),f836(f836(x41934,x41935),x41936))
% 190.77/190.67 [4243]E(f216(x42431,x42432,x42433,x42434,f210(x42431,x42432,x42435,x42436)),f836(f836(f74(a899),f836(f836(f74(a899),f836(x42433,x42435)),f836(x42434,x42436))),f836(a102,f2(a899))))
% 190.77/190.67 [3857]E(f836(f836(f247(x38571,x38572,x38573),x38574),f836(f836(f242(x38571,x38572),x38575),x38576)),f836(f836(x38574,x38575),x38576))
% 190.77/190.67 [3917]E(f836(f836(f836(f8(x39171,x39172,x39173),x39174),x39175),x39176),f836(x39174,f836(x39175,x39176)))
% 190.77/190.67 [3918]E(f836(f836(f836(f7(x39181,x39182,x39183),x39184),x39185),x39186),f836(f836(x39184,x39186),x39185))
% 190.77/190.67 [3934]E(f836(f836(f836(f18(x39341,x39342,x39343),x39344),x39345),x39346),f836(f836(x39344,x39346),f836(x39345,x39346)))
% 190.77/190.67 [3957]E(f836(f146(x39571,x39572,x39573,x39574),f836(f836(f141(x39572),x39575),x39576)),f836(f836(x39574,x39575),x39576))
% 190.77/190.67 [3993]E(f159(f905(x39931,x39932),f836(f836(f228(a899),x39933),x39934),f836(f836(f242(x39931,x39932),x39935),x39936)),f836(f836(f171(x39931,x39932),f159(x39931,x39933,x39935)),f159(x39932,x39934,x39936)))
% 190.77/190.67 [4059]E(f836(f836(f141(f905(x40591,x40592)),f836(f836(f242(x40591,x40592),x40593),x40594)),f836(f836(f171(x40591,x40592),x40595),x40596)),f836(f836(f171(x40591,x40592),f836(f836(f141(x40591),x40593),x40595)),f836(f836(f141(x40592),x40594),x40596)))
% 190.77/190.67 [4060]E(f836(f836(f144(x40601,x40602),x40603),f836(f836(f149(x40601,x40604),x40605),x40606)),f836(f836(f149(x40602,f836(f836(f144(x40601,x40602),x40603),x40604)),x40605),f836(x40603,x40606)))
% 190.77/190.67 [4084]E(f836(f836(f245(x40841,x40842,x40843,x40844),x40845),x40846),f836(x40844,f836(f836(f242(x40841,x40842),x40845),x40846)))
% 190.77/190.67 [4100]E(f836(f132(x41001,x41002,x41003,x41004),f836(f836(f141(x41002),x41005),x41006)),f836(f132(x41001,x41002,x41003,f836(f836(x41003,x41004),x41005)),x41006))
% 190.77/190.67 [4126]E(f250(x41261,x41262,x41263,x41264,f836(f836(f242(x41261,x41262),x41265),x41266)),f836(f836(x41264,x41265),x41266))
% 190.77/190.67 [4207]E(f836(f836(f35(x42071,f906(x42072,a895)),x42073),f836(f67(x42074,f906(x42072,a895),x42071,x42075),x42076)),f836(f836(f35(x42074,f906(x42072,a895)),f836(f300(x42071,x42074,x42076),x42073)),x42075))
% 190.77/190.67 [4257]E(f836(f836(f144(x42571,x42572),x42573),f836(f836(f144(x42574,x42571),x42575),x42576)),f836(f836(f144(x42574,x42572),f836(f67(x42571,x42572,x42574,x42573),x42575)),x42576))
% 190.77/190.67 [4263]E(f836(f300(x42631,x42632,f836(f67(x42633,x42632,x42631,x42634),x42635)),x42636),f836(f300(x42633,x42632,x42634),f836(f300(x42631,x42633,x42635),x42636)))
% 190.77/190.67 [4264]E(f836(f301(x42641,x42642,f836(f67(x42643,x42642,x42641,x42644),x42645)),x42646),f836(f301(x42641,x42643,x42645),f836(f301(x42643,x42642,x42644),x42646)))
% 190.77/190.67 [4292]E(f836(f132(x42921,x42922,x42923,f836(f132(x42921,x42922,x42923,x42924),x42925)),x42926),f836(f132(x42921,x42922,x42923,x42924),f836(f836(f124(x42922),x42925),x42926)))
% 190.77/190.67 [4426]E(f836(f248(x44261,x44261,x44262,x44263,f25(x44261),x44264),f836(f836(f242(x44261,x44262),x44265),x44266)),f836(f836(f242(x44261,x44263),x44265),f836(x44264,x44266)))
% 190.77/190.67 [4427]E(f836(f248(x44271,x44272,x44273,x44273,x44274,f25(x44273)),f836(f836(f242(x44271,x44273),x44275),x44276)),f836(f836(f242(x44272,x44273),f836(x44274,x44275)),x44276))
% 190.77/190.67 [4515]E(f836(f836(f144(f905(x45151,x45152),f905(x45151,x45153)),f836(f247(x45151,x45152,f905(x45151,x45153)),f836(f836(f7(x45151,f906(x45152,x45153),f906(x45152,f905(x45151,x45153))),f836(f836(f8(f906(x45153,f905(x45151,x45153)),f906(f906(x45152,x45153),f906(x45152,f905(x45151,x45153))),x45151),f8(x45153,f905(x45151,x45153),x45152)),f242(x45151,x45153))),x45154))),f836(f836(f171(x45151,x45152),x45155),x45156)),f836(f836(f171(x45151,x45153),x45155),f836(f836(f144(x45152,x45153),x45154),x45156)))
% 190.77/190.67 [4110]E(f836(f836(f67(x41101,x41102,x41103,f836(f16(x41102,x41101),x41104)),x41105),x41106),x41104)
% 190.77/190.67 [4142]E(f836(f300(x41421,x41422,x41423),f836(f300(x41424,x41421,x41425),x41426)),f836(f300(x41424,x41422,f836(f836(f8(x41421,x41422,x41424),x41423),x41425)),x41426))
% 190.77/190.67 [4148]E(f836(f836(f35(x41481,f906(x41482,a895)),f836(f300(x41483,x41481,x41484),x41485)),x41486),f836(f836(f35(x41483,f906(x41482,a895)),x41485),f836(f836(f8(x41481,f906(x41482,a895),x41483),x41486),x41484)))
% 190.77/190.67 [4149]E(f836(f836(f36(x41491,f906(x41492,a895)),f836(f300(x41493,x41491,x41494),x41495)),x41496),f836(f836(f36(x41493,f906(x41492,a895)),x41495),f836(f836(f8(x41491,f906(x41492,a895),x41493),x41496),x41494)))
% 190.77/190.67 [4150]E(f836(f836(f35(x41501,f906(x41502,a895)),x41503),f836(f836(f8(x41504,f906(x41502,a895),x41501),x41505),x41506)),f836(f836(f35(x41504,f906(x41502,a895)),f836(f300(x41501,x41504,x41506),x41503)),x41505))
% 190.77/190.67 [4151]E(f836(f836(f36(x41511,f906(x41512,a895)),x41513),f836(f836(f8(x41514,f906(x41512,a895),x41511),x41515),x41516)),f836(f836(f36(x41514,f906(x41512,a895)),f836(f300(x41511,x41514,x41516),x41513)),x41515))
% 190.77/190.67 [4209]E(f836(f836(f35(x42091,f906(x42092,a895)),x42093),f836(f836(f8(f906(x42094,a895),f906(x42092,a895),x42091),f300(x42094,x42092,x42095)),x42096)),f836(f300(x42094,x42092,x42095),f836(f836(f35(x42091,f906(x42094,a895)),x42093),x42096)))
% 190.77/190.67 [4210]E(f836(f836(f35(x42101,f906(x42102,a895)),x42103),f836(f836(f8(f906(x42104,a895),f906(x42102,a895),x42101),f275(x42104,x42102,x42105)),x42106)),f836(f275(x42104,x42102,x42105),f836(f836(f35(x42101,f906(x42104,a895)),x42103),x42106)))
% 190.77/190.67 [4211]E(f836(f836(f35(x42111,f906(x42112,a895)),x42113),f836(f836(f8(f906(x42114,a895),f906(x42112,a895),x42111),f301(x42112,x42114,x42115)),x42116)),f836(f301(x42112,x42114,x42115),f836(f836(f35(x42111,f906(x42114,a895)),x42113),x42116)))
% 190.77/190.67 [4212]E(f836(f836(f36(x42121,f906(x42122,a895)),x42123),f836(f836(f8(f906(x42124,a895),f906(x42122,a895),x42121),f301(x42122,x42124,x42125)),x42126)),f836(f301(x42122,x42124,x42125),f836(f836(f36(x42121,f906(x42124,a895)),x42123),x42126)))
% 190.77/190.67 [4297]E(f836(f132(x42971,x42972,f836(f7(x42972,x42971,x42971),x42973),x42974),f836(f158(x42972),f836(f836(f141(x42972),x42975),x42976))),f836(f836(x42973,x42975),f836(f132(x42971,x42972,f836(f7(x42972,x42971,x42971),x42973),x42974),f836(f158(x42972),x42976))))
% 190.77/190.67 [4355]E(f836(f836(f18(f905(x43551,x43552),x43552,x43553),f836(f836(f8(x43554,f906(x43552,x43553),f905(x43551,x43552)),x43555),f836(f836(f8(x43551,x43554,f905(x43551,x43552)),x43556),f241(x43551,x43552)))),f246(x43551,x43552)),f836(f247(x43551,x43552,x43553),f836(f836(f8(x43554,f906(x43552,x43553),x43551),x43555),x43556)))
% 190.77/190.67 [4362]E(f836(f132(x43621,x43622,f836(f7(x43622,x43621,x43621),x43623),f836(f132(x43621,x43622,f836(f7(x43622,x43621,x43621),x43623),x43624),f836(f158(x43622),x43625))),f836(f158(x43622),x43626)),f836(f132(x43621,x43622,f836(f7(x43622,x43621,x43621),x43623),x43624),f836(f158(x43622),f836(f836(f124(x43622),x43626),x43625))))
% 190.77/190.67 [4364]E(f836(f836(f144(f905(x43641,x43642),f905(x43643,x43642)),f836(f247(x43641,x43642,f905(x43643,x43642)),f836(f836(f8(x43643,f906(x43642,f905(x43643,x43642)),x43641),f242(x43643,x43642)),x43644))),f836(f836(f171(x43641,x43642),x43645),x43646)),f836(f836(f171(x43643,x43642),f836(f836(f144(x43641,x43643),x43644),x43645)),x43646))
% 190.77/190.67 [4409]P1(f836(f836(f224(f906(x44091,a895)),f836(f275(x44092,x44091,x44093),f836(f836(f36(x44094,f906(x44092,a895)),x44095),x44096))),f836(f836(f36(x44094,f906(x44091,a895)),x44095),f836(f836(f8(f906(x44092,a895),f906(x44091,a895),x44094),f275(x44092,x44091,x44093)),x44096))))
% 190.77/190.67 [4222]E(f836(f836(f171(x42221,x42222),f836(f836(f149(x42221,x42223),x42224),f836(f241(x42221,x42222),x42225))),f836(f836(f149(x42222,x42226),x42224),f836(f246(x42221,x42222),x42225))),f836(f836(f149(f905(x42221,x42222),f836(f836(f171(x42221,x42222),x42223),x42226)),x42224),x42225))
% 190.77/190.67 [4280]E(f836(f836(f91(f906(f905(x42801,x42802),a895)),f836(f836(f279(x42801,x42803,x42802),x42804),x42805)),f836(f836(f279(x42801,x42803,x42802),x42804),x42806)),f836(f836(f279(x42801,x42803,x42802),x42804),f836(f836(f91(f906(f905(x42803,x42802),a895)),x42805),x42806)))
% 190.77/190.67 [4374]E(f836(f836(f299(f905(x43741,x43742)),f836(f836(f242(x43741,x43742),x43743),x43744)),f836(f836(f91(f906(f905(x43741,x43742),a895)),f836(f836(f244(x43741,x43742),x43745),f836(f16(f906(x43742,a895),x43741),f836(f836(f299(x43742),x43744),x43746)))),f836(f836(f244(x43741,x43742),f836(f836(f299(x43741),x43743),x43745)),f836(f16(f906(x43742,a895),x43741),x43746)))),f836(f836(f244(x43741,x43742),f836(f836(f299(x43741),x43743),x43745)),f836(f16(f906(x43742,a895),x43741),f836(f836(f299(x43742),x43744),x43746))))
% 190.77/190.67 [4453]E(f836(f836(f92(f906(x44531,a895)),f836(f301(x44531,x44532,f836(f67(f905(x44532,x44533),x44532,x44531,f241(x44532,x44533)),x44534)),x44535)),f836(f301(x44531,x44533,f836(f67(f905(x44532,x44533),x44533,x44531,f246(x44532,x44533)),x44534)),x44536)),f836(f301(x44531,f905(x44532,x44533),x44534),f836(f836(f244(x44532,x44533),x44535),f836(f16(f906(x44533,a895),x44532),x44536))))
% 190.77/190.67 [4303]E(f836(f836(f91(f906(f905(x43031,x43032),a895)),f836(f836(f279(x43031,x43033,x43032),x43034),x43035)),f836(f836(f279(x43031,x43033,x43032),x43036),x43035)),f836(f836(f279(x43031,x43033,x43032),f836(f836(f91(f906(f905(x43031,x43033),a895)),x43034),x43036)),x43035))
% 190.77/190.67 [4434]E(f836(f836(f35(x44341,f906(x44342,a895)),x44343),f836(f836(f7(x44341,f906(x44344,f906(x44342,a895)),f906(x44342,a895)),f836(f836(f8(f906(x44344,a895),f906(f906(x44344,f906(x44342,a895)),f906(x44342,a895)),x44341),f35(x44344,f906(x44342,a895))),x44345)),x44346)),f836(f836(f35(x44344,f906(x44342,a895)),f836(f836(f35(x44341,f906(x44344,a895)),x44343),x44345)),x44346))
% 190.77/190.67 [4435]E(f836(f836(f36(x44351,f906(x44352,a895)),x44353),f836(f836(f7(x44351,f906(x44354,f906(x44352,a895)),f906(x44352,a895)),f836(f836(f8(f906(x44354,a895),f906(f906(x44354,f906(x44352,a895)),f906(x44352,a895)),x44351),f36(x44354,f906(x44352,a895))),x44355)),x44356)),f836(f836(f36(x44354,f906(x44352,a895)),f836(f836(f35(x44351,f906(x44354,a895)),x44353),x44355)),x44356))
% 190.77/190.67 [4487]E(f836(f247(x44871,x44872,f905(x44873,x44874)),f836(f836(f7(x44871,f906(x44872,x44874),f906(x44872,f905(x44873,x44874))),f836(f836(f8(f906(x44874,f905(x44873,x44874)),f906(f906(x44872,x44874),f906(x44872,f905(x44873,x44874))),x44871),f8(x44874,f905(x44873,x44874),x44872)),f836(f836(f8(x44873,f906(x44874,f905(x44873,x44874)),x44871),f242(x44873,x44874)),x44875))),x44876)),f248(x44871,x44873,x44872,x44874,x44875,x44876))
% 190.77/190.67 [4510]E(f836(f300(x45101,x45102,f836(f836(f18(x45101,x45102,x45102),f836(f836(f18(x45101,x45102,f906(x45102,x45102)),f836(f836(f8(a895,f906(x45102,f906(x45102,x45102)),x45101),f86(x45102)),x45103)),x45104)),x45105)),x45106),f836(f836(f91(f906(x45102,a895)),f836(f300(x45101,x45102,x45104),f836(f836(f92(f906(x45101,a895)),x45106),f836(f252(x45101),x45103)))),f836(f300(x45101,x45102,x45105),f836(f836(f92(f906(x45101,a895)),x45106),f836(f252(x45101),f836(f836(f8(a895,a895,x45101),a312),x45103))))))
% 190.77/190.67 [4522]E(f836(f300(x45221,f905(x45222,x45223),f836(f836(f18(x45221,x45223,f905(x45222,x45223)),f836(f836(f8(x45222,f906(x45223,f905(x45222,x45223)),x45221),f242(x45222,x45223)),x45224)),x45225)),x45226),f836(f836(f244(x45222,x45223),f836(f300(x45221,x45222,x45224),x45226)),f836(f836(f8(f906(x45221,a895),f906(x45223,a895),x45222),f300(x45221,x45223,x45225)),f836(f836(f7(x45222,f906(x45221,a895),f906(x45221,a895)),f836(f836(f8(f906(x45221,a895),f906(f906(x45221,a895),f906(x45221,a895)),x45222),f92(f906(x45221,a895))),f836(f836(f8(f906(x45222,a895),f906(x45221,a895),x45222),f301(x45221,x45222,x45224)),f836(f836(f7(x45222,f906(x45222,a895),f906(x45222,a895)),f299(x45222)),f178(f906(x45222,a895)))))),x45226))))
% 190.77/190.67 [4547]E(f236(x45471,x45472,x45473,x45474,x45475,x45476),f836(x45474,f836(f252(x45471),f836(f836(f8(f906(f906(x45473,x45471),a895),a895,x45471),f81(f906(x45473,x45471))),f836(f836(f8(f906(f906(x45473,x45471),a895),f906(f906(x45473,x45471),a895),x45471),f836(f18(f906(x45473,x45471),a895,a895),f836(f836(f8(a895,f906(a895,a895),f906(x45473,x45471)),a315),f836(f836(f7(f906(x45473,x45471),f906(f906(x45473,x45471),a895),a895),f318(f906(x45473,x45471))),x45475)))),f836(f836(f7(x45471,f906(f906(x45473,x45471),x45471),f906(f906(x45473,x45471),a895)),f836(f836(f8(f906(x45471,a895),f906(f906(f906(x45473,x45471),x45471),f906(f906(x45473,x45471),a895)),x45471),f8(x45471,a895,f906(x45473,x45471))),a314)),f836(f836(f7(f906(x45473,x45471),x45473,x45471),f5(f906(x45473,x45471))),x45476)))))))
% 190.77/190.67 [4336]E(f836(f67(x43361,x43362,x43363,x43364),f69(x43363,x43361,x43365,x43366,x43367)),f69(x43363,x43362,f836(f67(x43361,x43362,x43363,x43364),x43365),x43366,f836(x43364,x43367)))
% 190.77/190.67 [4470]E(f836(f246(x44701,x44702),f836(f248(x44703,x44701,x44704,x44702,x44705,x44706),x44707)),f836(x44706,f836(f246(x44703,x44704),x44707)))
% 190.77/190.67 [4471]E(f836(f241(x44711,x44712),f836(f248(x44713,x44711,x44714,x44712,x44715,x44716),x44717)),f836(x44715,f836(f241(x44713,x44714),x44717)))
% 190.77/190.67 [4185]E(f836(f836(f171(x41851,x41852),f836(f836(f149(x41851,x41853),x41854),x41855)),f836(f836(f149(x41852,x41856),x41854),x41857)),f836(f836(f149(f905(x41851,x41852),f836(f836(f171(x41851,x41852),x41853),x41856)),x41854),f836(f836(f242(x41851,x41852),x41855),x41857)))
% 190.77/190.67 [4252]E(f836(f836(f836(f249(x42521,x42522,x42523,x42524),x42525),x42526),x42527),f836(f836(f247(x42522,x42523,x42524),x42526),f836(x42525,x42527)))
% 190.77/190.67 [4262]E(f836(f836(f836(f249(x42621,x42622,x42623,x42624),x42625),x42626),x42627),f836(f836(x42626,f836(f241(x42622,x42623),f836(x42625,x42627))),f836(f246(x42622,x42623),f836(x42625,x42627))))
% 190.77/190.67 [4314]E(f836(f67(x43141,x43142,x43143,x43144),f836(f67(x43145,x43141,x43143,x43146),x43147)),f836(f67(x43145,x43142,x43143,f836(f67(x43141,x43142,x43145,x43144),x43146)),x43147))
% 190.77/190.67 [4491]E(f836(f248(x44911,x44912,x44913,x44913,x44914,f25(x44913)),f836(f248(x44911,x44911,x44915,x44913,f25(x44911),x44916),x44917)),f836(f836(f242(x44912,x44913),f836(x44914,f836(f241(x44911,x44915),x44917))),f836(x44916,f836(f246(x44911,x44915),x44917))))
% 190.77/190.67 [4492]E(f836(f248(x44921,x44921,x44922,x44923,f25(x44921),x44924),f836(f248(x44925,x44921,x44922,x44922,x44926,f25(x44922)),x44927)),f836(f836(f242(x44921,x44923),f836(x44926,f836(f241(x44925,x44922),x44927))),f836(x44924,f836(f246(x44925,x44922),x44927))))
% 190.77/190.67 [4508]E(f836(f248(x45081,x45082,x45083,x45083,x45084,f25(x45083)),f836(f248(x45085,x45081,x45083,x45083,x45086,f25(x45083)),x45087)),f836(f248(x45085,x45082,x45083,x45083,f836(f67(x45081,x45082,x45085,x45084),x45086),f25(x45083)),x45087))
% 190.77/190.67 [4509]E(f836(f248(x45091,x45091,x45092,x45093,f25(x45091),x45094),f836(f248(x45091,x45091,x45095,x45092,f25(x45091),x45096),x45097)),f836(f248(x45091,x45091,x45095,x45093,f25(x45091),f836(f67(x45092,x45093,x45095,x45094),x45096)),x45097))
% 190.77/190.67 [4519]E(f836(f248(x45191,x45192,x45193,x45193,x45194,f25(x45193)),f836(f248(x45191,x45191,x45195,x45193,f25(x45191),x45196),x45197)),f836(f248(x45192,x45192,x45195,x45193,f25(x45192),x45196),f836(f248(x45191,x45192,x45195,x45195,x45194,f25(x45195)),x45197)))
% 190.77/190.67 [4219]E(f836(f836(f279(x42191,x42192,x42193),f836(f836(f279(x42191,x42194,x42192),x42195),x42196)),x42197),f836(f836(f279(x42191,x42194,x42193),x42195),f836(f836(f279(x42194,x42192,x42193),x42196),x42197)))
% 190.77/190.67 [4286]E(f836(f836(f247(x42861,x42862,x42863),f836(f67(x42864,f906(x42862,x42863),x42861,x42865),x42866)),x42867),f836(f836(x42865,f836(x42866,f836(f241(x42861,x42862),x42867))),f836(f246(x42861,x42862),x42867)))
% 190.77/190.67 [4367]E(f836(f132(x43671,x43672,f836(f7(x43672,x43671,x43671),x43673),x43674),f836(f158(x43672),f836(f836(f144(x43675,x43672),x43676),x43677))),f836(f132(x43671,x43675,f836(f7(x43675,x43671,x43671),f836(f67(x43672,f906(x43671,x43671),x43675,x43673),x43676)),x43674),f836(f158(x43675),x43677)))
% 190.77/190.67 [4315]E(f836(f836(f35(x43151,f906(f905(x43152,x43153),a895)),x43154),f836(f836(f8(f906(f905(x43155,x43153),a895),f906(f905(x43152,x43153),a895),x43151),f836(f279(x43152,x43155,x43153),x43156)),x43157)),f836(f836(f279(x43152,x43155,x43153),x43156),f836(f836(f35(x43151,f906(f905(x43155,x43153),a895)),x43154),x43157)))
% 190.77/190.67 [4458]E(f836(f836(f35(x44581,f906(f905(x44582,x44583),a895)),x44584),f836(f836(f7(x44581,f906(f905(x44585,x44583),a895),f906(f905(x44582,x44583),a895)),f836(f836(f8(f906(f905(x44582,x44585),a895),f906(f906(f905(x44585,x44583),a895),f906(f905(x44582,x44583),a895)),x44581),f279(x44582,x44585,x44583)),x44586)),x44587)),f836(f836(f279(x44582,x44585,x44583),f836(f836(f35(x44581,f906(f905(x44582,x44585),a895)),x44584),x44586)),x44587))
% 190.77/190.67 [4459]E(f836(f132(x44591,x44592,f836(f836(f7(x44591,f906(x44592,x44593),f906(x44592,x44591)),f836(f836(f8(f906(x44593,x44591),f906(f906(x44592,x44593),f906(x44592,x44591)),x44591),f8(x44593,x44591,x44592)),x44594)),x44595),x44596),x44597),f836(f132(x44591,x44593,x44594,x44596),f836(f836(f144(x44592,x44593),x44595),x44597)))
% 190.77/190.67 [4520]E(f836(f836(f36(x45201,f906(x45202,a895)),x45203),f836(f836(f8(f906(x45204,f906(x45202,a895)),f906(x45202,a895),x45201),f836(f36(x45204,f906(x45202,a895)),x45205)),f836(f836(f7(x45201,f906(x45204,f906(x45202,a895)),f906(x45204,f906(x45202,a895))),f836(f836(f8(f906(f906(x45202,a895),f906(x45202,a895)),f906(f906(x45204,f906(x45202,a895)),f906(x45204,f906(x45202,a895))),x45201),f8(f906(x45202,a895),f906(x45202,a895),x45204)),f836(f836(f8(f906(x45202,a895),f906(f906(x45202,a895),f906(x45202,a895)),x45201),f91(f906(x45202,a895))),x45206))),x45207))),f836(f836(f91(f906(x45202,a895)),f836(f836(f36(x45201,f906(x45202,a895)),x45203),x45206)),f836(f836(f36(x45204,f906(x45202,a895)),x45205),x45207)))
% 190.77/190.67 [4521]E(f836(f836(f35(x45211,f906(x45212,a895)),x45213),f836(f836(f8(f906(x45214,f906(x45212,a895)),f906(x45212,a895),x45211),f836(f35(x45214,f906(x45212,a895)),x45215)),f836(f836(f7(x45211,f906(x45214,f906(x45212,a895)),f906(x45214,f906(x45212,a895))),f836(f836(f8(f906(f906(x45212,a895),f906(x45212,a895)),f906(f906(x45214,f906(x45212,a895)),f906(x45214,f906(x45212,a895))),x45211),f8(f906(x45212,a895),f906(x45212,a895),x45214)),f836(f836(f8(f906(x45212,a895),f906(f906(x45212,a895),f906(x45212,a895)),x45211),f92(f906(x45212,a895))),x45216))),x45217))),f836(f836(f92(f906(x45212,a895)),f836(f836(f35(x45211,f906(x45212,a895)),x45213),x45216)),f836(f836(f35(x45214,f906(x45212,a895)),x45215),x45217)))
% 190.77/190.67 [4513]E(f187(x45131,x45132,f836(f836(f836(x45133,x45134),x45135),x45136),f836(f836(f7(x45131,f905(a89,a89),f906(a89,f901(x45132))),f836(f836(f7(x45131,a89,f906(f905(a89,a89),f906(a89,f901(x45132)))),f836(f836(f7(x45131,a89,f906(a89,f906(f905(a89,a89),f906(a89,f901(x45132))))),x45137),x45134)),x45135)),x45136)),f836(f836(f836(f199(x45131,x45132,x45133,x45137),x45134),x45135),x45136))
% 190.77/190.67 [4527]E(f188(x45271,x45272,f836(f836(f836(x45273,x45274),x45275),x45276),f836(f836(f7(x45271,f905(a89,a89),f906(a89,f901(x45272))),f836(f836(f7(x45271,a89,f906(f905(a89,a89),f906(a89,f901(x45272)))),f836(f836(f7(x45271,a89,f906(a89,f906(f905(a89,a89),f906(a89,f901(x45272))))),x45277),x45274)),x45275)),x45276)),f201(x45271,x45272,x45273,x45277,x45274,x45275,x45276))
% 190.77/190.67 [4518]E(f185(x45181,x45182,f836(f836(f836(x45183,x45184),x45185),x45186),f836(f836(f7(x45181,f905(a89,a89),f906(a89,f901(f902(x45182)))),f836(f836(f7(x45181,a89,f906(f905(a89,a89),f906(a89,f901(f902(x45182))))),f836(f836(f7(x45181,a89,f906(a89,f906(f905(a89,a89),f906(a89,f901(f902(x45182)))))),x45187),x45184)),x45185)),x45186)),f836(f836(f836(f195(x45181,x45182,x45183,x45187),x45184),x45185),x45186))
% 190.77/190.67 [4529]E(f186(x45291,x45292,f836(f836(f836(x45293,x45294),x45295),x45296),f836(f836(f7(x45291,f905(a89,a89),f906(a89,f901(f902(x45292)))),f836(f836(f7(x45291,a89,f906(f905(a89,a89),f906(a89,f901(f902(x45292))))),f836(f836(f7(x45291,a89,f906(a89,f906(f905(a89,a89),f906(a89,f901(f902(x45292)))))),x45297),x45294)),x45295)),x45296)),f197(x45291,x45292,x45293,x45297,x45294,x45295,x45296))
% 190.77/190.67 [4428]E(f836(f248(x44281,x44282,x44283,x44284,x44285,x44286),f836(f836(f242(x44281,x44283),x44287),x44288)),f836(f836(f242(x44282,x44284),f836(x44285,x44287)),f836(x44286,x44288)))
% 190.77/190.67 [4531]E(f836(f836(f144(f905(x45311,x45312),f905(x45313,x45314)),f836(f247(x45311,x45312,f905(x45313,x45314)),f836(f836(f7(x45311,f906(x45312,x45314),f906(x45312,f905(x45313,x45314))),f836(f836(f8(f906(x45314,f905(x45313,x45314)),f906(f906(x45312,x45314),f906(x45312,f905(x45313,x45314))),x45311),f8(x45314,f905(x45313,x45314),x45312)),f836(f836(f8(x45313,f906(x45314,f905(x45313,x45314)),x45311),f242(x45313,x45314)),x45315))),x45316))),f836(f836(f171(x45311,x45312),x45317),x45318)),f836(f836(f171(x45313,x45314),f836(f836(f144(x45311,x45313),x45315),x45317)),f836(f836(f144(x45312,x45314),x45316),x45318)))
% 190.77/190.67 [4534]E(f836(f836(f144(f905(x45341,x45342),x45343),f836(f247(x45341,x45342,x45343),f836(f836(f8(f906(x45342,f905(x45341,x45344)),f906(x45342,x45343),x45341),f836(f8(f905(x45341,x45344),x45343,x45342),x45345)),f836(f836(f7(x45341,f906(x45342,x45344),f906(x45342,f905(x45341,x45344))),f836(f836(f8(f906(x45344,f905(x45341,x45344)),f906(f906(x45342,x45344),f906(x45342,f905(x45341,x45344))),x45341),f8(x45344,f905(x45341,x45344),x45342)),f242(x45341,x45344))),x45346)))),f836(f836(f171(x45341,x45342),x45347),x45348)),f836(f836(f144(f905(x45341,x45344),x45343),x45345),f836(f836(f171(x45341,x45344),x45347),f836(f836(f144(x45342,x45344),x45346),x45348))))
% 190.77/190.67 [4462]E(f836(f836(f144(f905(x44621,x44622),x44623),f836(f247(x44621,x44622,x44623),f836(f836(f8(f906(x44622,f905(x44624,x44622)),f906(x44622,x44623),x44621),f836(f8(f905(x44624,x44622),x44623,x44622),x44625)),f836(f836(f8(x44624,f906(x44622,f905(x44624,x44622)),x44621),f242(x44624,x44622)),x44626)))),f836(f836(f171(x44621,x44622),x44627),x44628)),f836(f836(f144(f905(x44624,x44622),x44623),x44625),f836(f836(f171(x44624,x44622),f836(f836(f144(x44621,x44624),x44626),x44627)),x44628)))
% 190.77/190.67 [4419]E(f836(f836(f247(x44191,x44192,x44193),f836(f836(f8(f906(x44192,f905(x44194,x44195)),f906(x44192,x44193),x44191),f836(f8(f905(x44194,x44195),x44193,x44192),f836(f247(x44194,x44195,x44193),x44196))),x44197)),x44198),f836(f836(f247(x44194,x44195,x44193),x44196),f836(f836(f247(x44191,x44192,f905(x44194,x44195)),x44197),x44198)))
% 190.77/190.67 [4535]E(f836(f836(f35(f905(x45351,x45352),f906(f905(x45353,x45354),a895)),f836(f836(f244(x45351,x45352),x45355),f836(f16(f906(x45352,a895),x45351),x45356))),f836(f247(x45351,x45352,f906(f905(x45353,x45354),a895)),f836(f836(f7(x45351,f906(x45352,f906(x45353,f906(x45354,a895))),f906(x45352,f906(f905(x45353,x45354),a895))),f836(f836(f8(f906(f906(x45353,f906(x45354,a895)),f906(f905(x45353,x45354),a895)),f906(f906(x45352,f906(x45353,f906(x45354,a895))),f906(x45352,f906(f905(x45353,x45354),a895))),x45351),f8(f906(x45353,f906(x45354,a895)),f906(f905(x45353,x45354),a895),x45352)),f836(f836(f8(f906(x45353,a895),f906(f906(x45353,f906(x45354,a895)),f906(f905(x45353,x45354),a895)),x45351),f244(x45353,x45354)),x45357))),f836(f836(f8(f906(x45354,a895),f906(x45353,f906(x45354,a895)),x45352),f16(f906(x45354,a895),x45353)),x45358)))),f836(f836(f244(x45353,x45354),f836(f836(f35(x45351,f906(x45353,a895)),x45355),x45357)),f836(f16(f906(x45354,a895),x45353),f836(f836(f35(x45352,f906(x45354,a895)),x45356),x45358))))
% 190.77/190.67 [4476]E(f836(f836(f249(x44761,x44762,x44763,x44764),f836(f836(f249(x44761,x44765,x44766,f905(x44762,x44763)),x44767),x44768)),x44769),f836(f836(f249(x44761,x44765,x44766,x44764),x44767),f836(f836(f7(x44765,f906(x44762,f906(x44763,x44764)),f906(x44766,x44764)),f836(f836(f8(f906(x44766,f905(x44762,x44763)),f906(f906(x44762,f906(x44763,x44764)),f906(x44766,x44764)),x44765),f249(x44766,x44762,x44763,x44764)),x44768)),x44769)))
% 190.77/190.67 [4505]E(f836(f67(f905(x45051,x45052),f905(x45053,x45054),f905(x45055,x45056),f248(x45051,x45053,x45052,x45054,x45057,x45058)),f248(x45055,x45051,x45056,x45052,x45059,x450510)),f248(x45055,x45053,x45056,x45054,f836(f67(x45051,x45053,x45055,x45057),x45059),f836(f67(x45052,x45054,x45056,x45058),x450510)))
% 190.77/190.67 [4511]E(f836(f248(x45111,x45112,x45113,x45114,x45115,x45116),f836(f248(x45117,x45111,x45118,x45113,x45119,x451110),x451111)),f836(f248(x45117,x45112,x45118,x45114,f836(f67(x45111,x45112,x45117,x45115),x45119),f836(f67(x45113,x45114,x45118,x45116),x451110)),x451111))
% 190.77/190.67 [4638]~P2(x46381)+P2(f902(x46381))
% 190.77/190.67 [4639]~P60(x46391)+P60(f902(x46391))
% 190.77/190.67 [4640]~P105(x46401)+P105(f900(x46401))
% 190.77/190.67 [4643]~P127(x46431)+~E(f72(x46431),f2(x46431))
% 190.77/190.67 [4645]~E(x46451,f2(a89))+E(f836(a22,x46451),f2(a1))
% 190.77/190.67 [4646]~E(x46461,f2(a1))+E(f76(a1,x46461),f2(a1))
% 190.77/190.67 [4652]~P144(x46521)+P27(x46521,f2(x46521))
% 190.77/190.67 [4654]~P108(x46541)+P13(x46541,f103(x46541))
% 190.77/190.67 [4663]P1(x46631)+P1(f836(a312,x46631))
% 190.77/190.67 [4717]~P144(x47171)+~P27(x47171,f72(x47171))
% 190.77/190.67 [4754]~P1(x47541)+~P1(f836(a312,x47541))
% 190.77/190.67 [4775]E(f836(a95,x47751),f2(a899))+~P1(f836(a183,x47751))
% 190.77/190.67 [4841]~P97(x48411)+P14(x48411,x48411,f75(x48411))
% 190.77/190.67 [4842]~P108(x48421)+P14(x48421,x48421,f228(x48421))
% 190.77/190.67 [4843]~P108(x48431)+P14(x48431,x48431,f223(x48431))
% 190.77/190.67 [4844]~P98(x48441)+P14(x48441,x48441,f91(x48441))
% 190.77/190.67 [4845]~P104(x48451)+P14(x48451,x48451,f92(x48451))
% 190.77/190.67 [4846]~P71(x48461)+P16(x48461,x48461,f75(x48461))
% 190.77/190.67 [4649]~E(x46491,f2(a899))+E(f836(f90(a1),x46491),f2(a1))
% 190.77/190.67 [4656]~P94(x46561)+E(f836(f94(x46561),a77),f2(x46561))
% 190.77/190.67 [4659]~E(f511(x46591),f2(a899))+E(f836(f155(a899),x46591),f2(a899))
% 190.77/190.67 [4660]~P107(x46601)+E(f226(x46601,f224(x46601)),f228(x46601))
% 190.77/190.67 [4661]~P107(x46611)+E(f227(x46611,f224(x46611)),f223(x46611))
% 190.77/190.67 [4662]~P90(x46621)+E(f76(x46621,f2(x46621)),f2(x46621))
% 190.77/190.67 [4671]~P144(x46711)+E(f836(f90(x46711),f2(a899)),f2(x46711))
% 190.77/190.67 [4672]~P144(x46721)+E(f836(f90(x46721),f72(a899)),f72(x46721))
% 190.77/190.67 [4673]~P128(x46731)+E(f836(f93(x46731),f2(a1)),f2(x46731))
% 190.77/190.67 [4674]~P128(x46741)+E(f836(f93(x46741),f72(a1)),f72(x46741))
% 190.77/190.67 [4675]E(x46751,f2(a899))+~E(f836(f90(a1),x46751),f2(a1))
% 190.77/190.67 [4711]~P96(x47111)+E(f836(f73(x47111),f178(x47111)),f232(x47111))
% 190.77/190.67 [4712]~P66(x47121)+E(f836(f73(x47121),f2(x47121)),f2(x47121))
% 190.77/190.67 [4713]~P96(x47131)+E(f836(f73(x47131),f232(x47131)),f178(x47131))
% 190.77/190.67 [4714]~P86(x47141)+E(f836(f70(x47141),f2(x47141)),f2(x47141))
% 190.77/190.67 [4715]~P111(x47151)+E(f836(f70(x47151),f72(x47151)),f72(x47151))
% 190.77/190.67 [4716]~P79(x47161)+E(f836(f155(x47161),f103(x47161)),f2(x47161))
% 190.77/190.67 [4734]~P35(x47341)+P39(f836(f162(a1),x47341))
% 190.77/190.67 [4759]~P94(x47591)+E(f836(f73(x47591),f72(x47591)),f836(f94(x47591),a87))
% 190.77/190.67 [4774]~P94(x47741)+P27(x47741,f836(f94(x47741),a77))
% 190.77/190.67 [4800]P35(x48001)+~P39(f836(f162(a1),x48001))
% 190.77/190.67 [4847]E(f836(f90(a1),f836(a95,x48471)),x48471)+P1(f836(a183,x48471))
% 190.77/190.67 [4917]~P115(x49171)+E(f235(x49171,f72(x49171),f75(x49171)),f234(x49171))
% 190.77/190.67 [4950]~P94(x49501)+~P27(x49501,f836(f94(x49501),a87))
% 190.77/190.67 [5103]E(f836(f70(a1),x51031),x51031)+P1(f836(f836(f225(a1),x51031),f2(a1)))
% 190.77/190.67 [5121]~E(f836(a95,x51211),f2(a899))+P1(f836(f836(f224(a1),x51211),f2(a1)))
% 190.77/190.67 [5187]~P1(f836(a183,x51871))+P1(f836(f836(f225(a1),x51871),f2(a1)))
% 190.77/190.67 [5227]~P110(x52271)+P1(f836(f836(f224(x52271),f2(x52271)),f72(x52271)))
% 190.77/190.67 [5228]~P128(x52281)+P1(f836(f836(f318(x52281),f2(x52281)),f100(x52281)))
% 190.77/190.67 [5229]~P144(x52291)+P1(f836(f836(f318(x52291),f2(x52291)),f176(x52291)))
% 190.77/190.67 [5230]~P128(x52301)+P1(f836(f836(f318(x52301),f72(x52301)),f100(x52301)))
% 190.77/190.67 [5231]~P144(x52311)+P1(f836(f836(f318(x52311),f72(x52311)),f176(x52311)))
% 190.77/190.67 [5232]~P110(x52321)+P1(f836(f836(f225(x52321),f2(x52321)),f72(x52321)))
% 190.77/190.67 [5284]E(x52841,f2(a899))+~P1(f836(f836(f224(a899),x52841),f2(a899)))
% 190.77/190.67 [5285]E(x52851,f72(a899))+~P1(f836(f836(f277(a899),x52851),f72(a899)))
% 190.77/190.67 [5327]E(f836(a95,x53271),f2(a899))+~P1(f836(f836(f224(a1),x53271),f2(a1)))
% 190.77/190.67 [5385]P1(f836(a183,x53851))+~P1(f836(f836(f225(a1),x53851),f2(a1)))
% 190.77/190.67 [5392]~P108(x53921)+P16(x53921,f900(x53921),f138(x53921,x53921,f5(x53921)))
% 190.77/190.67 [5410]P39(x54101)+~P1(f836(f836(f224(a1),f2(a1)),f837(x54101)))
% 190.77/190.67 [5415]E(f836(f70(a1),x54151),f836(f73(a1),x54151))+~P1(f836(f836(f225(a1),x54151),f2(a1)))
% 190.77/190.67 [5587]~P110(x55871)+~P1(f836(f836(f224(x55871),f72(x55871)),f2(x55871)))
% 190.77/190.67 [5588]~P110(x55881)+~P1(f836(f836(f225(x55881),f72(x55881)),f2(x55881)))
% 190.77/190.67 [5604]~E(x56041,f2(a899))+P1(f836(f836(f224(a1),f836(f90(a1),x56041)),f2(a1)))
% 190.77/190.67 [5605]~E(x56051,f2(a1))+P1(f836(f836(f225(a1),f836(f70(a1),x56051)),f72(a1)))
% 190.77/190.67 [5727]~P79(x57271)+E(f132(x57271,x57271,f74(x57271),f2(x57271)),f155(x57271))
% 190.77/190.67 [5910]~P95(x59101)+P24(a899,x59101,f90(x59101),f232(f906(a899,a895)))
% 190.77/190.67 [6117]E(x61171,f2(a899))+~P1(f836(f836(f224(a1),f836(f90(a1),x61171)),f2(a1)))
% 190.77/190.67 [6118]E(x61181,f2(a1))+~P1(f836(f836(f225(a1),f836(f70(a1),x61181)),f72(a1)))
% 190.77/190.67 [6943]~P1(f836(f836(f225(a1),x69431),f2(a1)))+P1(f836(f836(f225(a1),f836(f836(f74(a1),x69431),x69431)),f2(a1)))
% 190.77/190.67 [7505]P1(f836(f836(f225(a1),x75051),f2(a1)))+~P1(f836(f836(f225(a1),f836(f836(f74(a1),x75051),x75051)),f2(a1)))
% 190.77/190.67 [8056]E(x80561,f836(a3,f2(a899)))+P1(f836(f836(f225(a899),f836(f836(f23(a899),f836(a20,x80561)),f836(a102,f2(a899)))),f836(a20,x80561)))
% 190.77/190.67 [8822]~P1(f836(f836(f225(a1),x88221),f2(a1)))+P1(f836(f836(f225(a1),f836(f836(f23(a1),f836(f836(f74(a1),x88221),x88221)),a87)),f2(a1)))
% 190.77/190.67 [8919]~P1(f836(f836(f225(a1),x89191),f2(a1)))+P1(f836(f836(f225(a1),f836(f836(f74(a1),f836(f836(f74(a1),f72(a1)),x89191)),x89191)),f2(a1)))
% 190.77/190.67 [9238]P1(f836(f836(f225(a1),x92381),f2(a1)))+~P1(f836(f836(f225(a1),f836(f836(f23(a1),f836(f836(f74(a1),x92381),x92381)),a87)),f2(a1)))
% 190.77/190.67 [9300]P1(f836(f836(f225(a1),x93001),f2(a1)))+~P1(f836(f836(f225(a1),f836(f836(f74(a1),f836(f836(f74(a1),f72(a1)),x93001)),x93001)),f2(a1)))
% 190.77/190.67 [4748]~E(a77,x47481)+E(f836(f836(f74(a1),x47481),x47481),a77)
% 190.77/190.67 [4749]~E(x47491,a77)+E(f836(f836(f74(a1),x47491),x47491),a77)
% 190.77/190.67 [4760]E(x47601,f2(a1))+E(f836(f836(f31(a1),x47601),x47601),f72(a1))
% 190.77/190.67 [4894]E(x48941,a77)+~E(f836(f836(f74(a1),x48941),x48941),a77)
% 190.77/190.67 [4895]E(a77,x48951)+~E(f836(f836(f74(a1),x48951),x48951),a77)
% 190.77/190.67 [4907]~P5(x49071)+E(f33(x49071,f178(f906(x49071,a895))),f232(x49071))
% 190.77/190.67 [4908]~P5(x49081)+E(f33(x49081,f232(f906(x49081,a895))),f178(x49081))
% 190.77/190.67 [4909]~P5(x49091)+E(f32(x49091,f178(f906(x49091,a895))),f178(x49091))
% 190.77/190.67 [4910]~P5(x49101)+E(f32(x49101,f232(f906(x49101,a895))),f232(x49101))
% 190.77/190.67 [4911]~P108(x49111)+E(f129(x49111,f178(f906(x49111,a895))),f103(x49111))
% 190.77/190.67 [5058]E(x50581,f2(a899))+P1(f836(f836(f225(a899),f2(a899)),x50581))
% 190.77/190.67 [5078]~P6(x50781)+P1(f836(f836(f224(a1),f2(a1)),x50781))
% 190.77/190.67 [5112]~E(f836(f94(a899),x51121),f2(a899))+P1(f836(f836(f224(a1),x51121),a77))
% 190.77/190.67 [5117]P39(x51171)+P1(f836(f836(f318(a1),f837(x51171)),x51171))
% 190.77/190.67 [5118]E(x51181,f836(a3,f2(a899)))+P1(f836(f836(f224(a89),f72(a89)),x51181))
% 190.77/190.67 [5159]P1(f836(a183,x51591))+P1(f836(f836(f224(a1),f2(a1)),x51591))
% 190.77/190.67 [5209]E(f836(f90(a1),f836(a95,x52091)),f2(a1))+P1(f836(f836(f224(a1),f2(a1)),x52091))
% 190.77/190.67 [5266]E(f836(f90(a1),f836(f94(a899),x52661)),f836(f94(a1),x52661))+P1(f836(a183,f836(f94(a1),x52661)))
% 190.77/190.67 [5291]E(f836(f94(a899),x52911),f2(a899))+~P1(f836(a183,f836(f94(a1),x52911)))
% 190.77/190.67 [5292]E(f836(f94(a899),x52921),f2(a899))+~P1(f836(f836(f224(a1),x52921),a77))
% 190.77/190.67 [5324]P6(x53241)+~P1(f836(f836(f224(a1),f2(a1)),x53241))
% 190.77/190.67 [5380]P149(f222(a896,f34(x53801)))+~P1(f836(f836(f318(a897),x53801),a907))
% 190.77/190.67 [5395]E(f836(a102,f454(x53951)),x53951)+~P1(f836(f836(f225(a899),f2(a899)),x53951))
% 190.77/190.67 [5404]E(f836(a102,f836(f94(a899),x54041)),f72(a899))+~P1(f836(a183,f836(f94(a1),x54041)))
% 190.77/190.67 [5411]E(f836(f90(a1),f711(x54111)),x54111)+~P1(f836(f836(f225(a1),f2(a1)),x54111))
% 190.77/190.67 [5418]~E(x54181,f836(a3,f2(a899)))+~P1(f836(f836(f224(a89),f72(a89)),x54181))
% 190.77/190.67 [5425]E(f836(f90(a1),f836(f94(a899),x54251)),f2(a1))+~P1(f836(a183,f836(f94(a1),x54251)))
% 190.77/190.67 [5451]E(f836(f155(a899),x54511),f2(a899))+P1(f836(f836(f318(a899),f511(x54511)),f836(f162(a899),x54511)))
% 190.77/190.67 [5472]E(f836(f90(a1),f836(a95,x54721)),x54721)+~P1(f836(f836(f224(a1),f2(a1)),x54721))
% 190.77/190.67 [5480]~P1(f836(a183,x54801))+~P1(f836(f836(f224(a1),f2(a1)),x54801))
% 190.77/190.67 [5580]E(f836(f836(f74(a899),f72(a899)),f836(f94(a899),x55801)),f72(a899))+~P1(f836(f836(f225(a1),x55801),a77))
% 190.77/190.67 [5646]E(x56461,f2(a899))+~P1(f836(f836(f225(a899),x56461),f836(a102,f2(a899))))
% 190.77/190.67 [5668]E(x56681,f836(a102,f2(a899)))+~P1(f836(f836(f277(a899),x56681),f836(a102,f2(a899))))
% 190.77/190.67 [5686]E(f836(f836(f23(a899),f836(f94(a899),x56861)),f72(a899)),f2(a899))+~P1(f836(f836(f224(a1),x56861),a77))
% 190.77/190.67 [5687]E(f836(f836(f74(a899),f836(f94(a899),x56871)),f72(a899)),f72(a899))+~P1(f836(f836(f225(a1),x56871),a77))
% 190.77/190.67 [5699]~P39(x56991)+E(f836(f30(a899),f836(f300(a1,a899,a95),x56991)),f836(f30(a1),x56991))
% 190.77/190.67 [5728]~P108(x57281)+E(f227(x57281,f836(f7(x57281,x57281,a895),f224(x57281))),f228(x57281))
% 190.77/190.67 [5729]~P108(x57291)+E(f226(x57291,f836(f7(x57291,x57291,a895),f224(x57291))),f223(x57291))
% 190.77/190.67 [5739]E(f41(a899,f836(a102,f2(a899)),f836(f94(a899),x57391)),f836(a102,f2(a899)))+~P1(f836(a183,f836(f94(a1),x57391)))
% 190.77/190.67 [5748]~P1(f836(f836(f225(a1),f2(a1)),x57481))+P1(f836(f836(f224(a1),f72(a1)),x57481))
% 190.77/190.67 [5749]P1(f836(f836(f225(a1),f2(a1)),x57491))+~P1(f836(f836(f224(a1),f72(a1)),x57491))
% 190.77/190.67 [5760]E(f836(a102,f836(f836(f23(a899),x57601),f72(a899))),x57601)+~P1(f836(f836(f225(a899),f2(a899)),x57601))
% 190.77/190.67 [5816]P1(f836(f836(f225(a899),f2(a899)),f711(x58161)))+~P1(f836(f836(f225(a1),f2(a1)),x58161))
% 190.77/190.67 [5877]E(f41(a1,f836(f94(a1),a87),x58771),f836(f836(f23(a1),x58771),f72(a1)))+~P1(f836(f836(f225(a1),f2(a1)),x58771))
% 190.77/190.67 [5923]~P1(f836(f836(f225(a1),a77),x59231))+P1(f836(f836(f225(a899),f2(a899)),f836(f94(a899),x59231)))
% 190.77/190.67 [5928]E(f836(a20,f786(x59281)),x59281)+~P1(f836(f836(f318(a899),x59281),f232(f906(a899,a895))))
% 190.77/190.67 [5981]P1(f836(f836(f225(a899),f2(a899)),f836(a95,x59811)))+~P1(f836(f836(f225(a1),f2(a1)),x59811))
% 190.77/190.67 [6032]~P1(f836(f836(f225(a899),f2(a899)),x60321))+P1(f836(f836(f225(a1),f2(a1)),f836(f90(a1),x60321)))
% 190.77/190.67 [6068]~P1(f836(f836(f225(a899),f2(a899)),f836(a95,x60681)))+P1(f836(f836(f225(a1),f2(a1)),x60681))
% 190.77/190.67 [6083]~P39(x60831)+E(f836(f300(a899,a1,f90(a1)),f836(f300(a1,a899,a95),x60831)),x60831)
% 190.77/190.67 [6096]P1(f836(f836(f225(a1),a77),x60961))+~P1(f836(f836(f225(a899),f2(a899)),f836(f94(a899),x60961)))
% 190.77/190.67 [6155]P1(f836(f836(f225(a899),f2(a899)),x61551))+~P1(f836(f836(f225(a1),f2(a1)),f836(f90(a1),x61551)))
% 190.77/190.67 [6273]E(f836(f300(a899,a1,f90(a1)),f836(f272(a899),f836(a95,x62731))),f836(f292(a1,f2(a1)),x62731))+~P1(f836(f836(f224(a1),f2(a1)),x62731))
% 190.77/190.67 [6290]~P110(x62901)+P1(f836(f836(f225(x62901),f2(x62901)),f836(f836(f74(x62901),f72(x62901)),f72(x62901))))
% 190.77/190.67 [6341]P1(f836(f836(f225(a899),f836(a102,f2(a899))),f836(a95,x63411)))+~P1(f836(f836(f225(a1),f72(a1)),x63411))
% 190.77/190.67 [6444]E(x64441,f2(a1))+P1(f836(f45(f2(a1),x64441),f836(f836(f242(a1,a1),f2(a1)),f2(a1))))
% 190.77/190.67 [6619]~P1(f836(f836(f225(a899),f836(a102,f2(a899))),f836(a95,x66191)))+P1(f836(f836(f225(a1),f72(a1)),x66191))
% 190.77/190.67 [7060]~P117(x70601)+P36(x70601,f836(f252(f905(x70601,x70601)),f836(f247(x70601,x70601,a895),f225(x70601))))
% 190.77/190.67 [5633]E(f836(f94(a899),f836(f836(f23(a1),x56331),a87)),f836(a102,f836(f94(a899),x56331)))+P1(f836(a183,f836(f94(a1),x56331)))
% 190.77/190.67 [5649]~P35(x56491)+E(f836(f836(f144(a899,a1),f90(a1)),f836(f836(f144(a1,a899),a95),x56491)),x56491)
% 190.77/190.67 [5766]E(f836(f73(a1),f836(f90(a1),f836(a102,f322(x57661)))),x57661)+~P1(f836(f836(f225(a1),x57661),f2(a1)))
% 190.77/190.67 [5776]E(f836(f836(f74(a899),f72(a899)),f836(f94(a899),x57761)),f836(f94(a899),f836(f836(f23(a1),x57761),a87)))+P1(f836(f836(f225(a1),x57761),a77))
% 190.77/190.67 [5818]E(f836(f836(f31(a1),f836(f94(a1),a87)),x58181),f836(f94(a1),a87))+~P1(f836(f836(f225(a1),f2(a1)),x58181))
% 190.77/190.67 [5919]E(f836(f836(f23(a899),f836(f94(a899),x59191)),f72(a899)),f836(f94(a899),f836(f836(f74(a1),x59191),a87)))+P1(f836(f836(f224(a1),x59191),a77))
% 190.77/190.67 [5920]E(f836(f836(f74(a899),f836(f94(a899),x59201)),f72(a899)),f836(f94(a899),f836(f836(f23(a1),x59201),a87)))+P1(f836(f836(f225(a1),x59201),a77))
% 190.77/190.67 [5966]E(f836(a95,f836(f836(f74(a1),f72(a1)),x59661)),f836(a102,f836(a95,x59661)))+~P1(f836(f836(f224(a1),f2(a1)),x59661))
% 190.77/190.67 [6003]E(f836(a102,f836(f836(f23(a899),x60031),f836(a102,f2(a899)))),x60031)+~P1(f836(f836(f225(a899),f2(a899)),x60031))
% 190.77/190.67 [6222]E(f41(a899,f836(a102,f2(a899)),f836(f94(a899),x62221)),f836(a95,f41(a1,f72(a1),f836(f94(a1),x62221))))+P1(f836(a183,f836(f94(a1),x62221)))
% 190.77/190.67 [6266]~P1(f836(f836(f224(a1),a77),x62661))+P1(f836(f836(f224(a1),a77),f836(f836(f74(a1),x62661),x62661)))
% 190.77/190.67 [6267]~P1(f836(f836(f225(a1),a87),x62671))+P1(f836(f836(f224(a1),a87),f836(f836(f74(a1),x62671),x62671)))
% 190.77/190.67 [6268]~P1(f836(f836(f225(a1),a77),x62681))+P1(f836(f836(f225(a1),a77),f836(f836(f74(a1),x62681),x62681)))
% 190.77/190.67 [6269]~P1(f836(f836(f225(a1),a87),x62691))+P1(f836(f836(f225(a1),a87),f836(f836(f74(a1),x62691),x62691)))
% 190.77/190.67 [6458]~P1(f836(f29(x64581),f232(f906(x64581,a895))))+P1(f836(f29(f902(x64581)),f232(f906(f902(x64581),a895))))
% 190.77/190.67 [6546]~P1(f836(f836(f224(a1),f2(a1)),x65461))+P1(f836(f836(f225(a1),f2(a1)),f836(f836(f74(a1),f72(a1)),x65461)))
% 190.77/190.67 [6553]E(f836(f241(a1,a1),f43(f72(a1),f836(f94(a1),x65531))),f836(f836(f31(a1),f72(a1)),f836(f94(a1),x65531)))+~P1(f836(f836(f224(a1),f2(a1)),f836(f94(a1),x65531)))
% 190.77/190.67 [6578]E(f836(f246(a1,a1),f43(f72(a1),f836(f94(a1),x65781))),f41(a1,f72(a1),f836(f94(a1),x65781)))+~P1(f836(f836(f224(a1),f2(a1)),f836(f94(a1),x65781)))
% 190.77/190.67 [6590]P1(f836(f29(x65901),f232(f906(x65901,a895))))+~P1(f836(f29(f902(x65901)),f232(f906(f902(x65901),a895))))
% 190.77/190.67 [6620]P1(f836(f836(f224(a1),a77),x66201))+~P1(f836(f836(f224(a1),a77),f836(f836(f74(a1),x66201),x66201)))
% 190.77/190.67 [6621]P1(f836(f836(f225(a1),a77),x66211))+~P1(f836(f836(f225(a1),a77),f836(f836(f74(a1),x66211),x66211)))
% 190.77/190.67 [6622]P1(f836(f836(f225(a1),a87),x66221))+~P1(f836(f836(f224(a1),a87),f836(f836(f74(a1),x66221),x66221)))
% 190.77/190.67 [6623]P1(f836(f836(f225(a1),a87),x66231))+~P1(f836(f836(f225(a1),a87),f836(f836(f74(a1),x66231),x66231)))
% 190.77/190.67 [6947]~P1(f836(f29(x69471),f232(f906(x69471,a895))))+P1(f836(f836(f225(a899),f2(a899)),f836(f30(x69471),f232(f906(x69471,a895)))))
% 190.77/190.67 [7543]P1(f836(f29(a899),x75431))+~P1(f836(f29(a1),f836(f300(a899,a1,f90(a1)),x75431)))
% 190.77/190.67 [5556]~E(a87,x55561)+E(f836(f836(f23(a1),f836(f836(f74(a1),x55561),x55561)),a87),a87)
% 190.77/190.67 [5557]~E(x55571,a87)+E(f836(f836(f23(a1),f836(f836(f74(a1),x55571),x55571)),a87),a87)
% 190.77/190.67 [6091]E(x60911,a87)+~E(f836(f836(f23(a1),f836(f836(f74(a1),x60911),x60911)),a87),a87)
% 190.77/190.67 [6092]E(a87,x60921)+~E(f836(f836(f23(a1),f836(f836(f74(a1),x60921),x60921)),a87),a87)
% 190.77/190.67 [6514]~E(f836(f94(a899),x65141),f2(a899))+P1(f836(a183,f836(f94(a1),f836(f836(f74(a1),x65141),a87))))
% 190.77/190.67 [6877]~P1(f836(a183,f836(f94(a1),x68771)))+P1(f836(a183,f836(f94(a1),f836(f836(f74(a1),x68771),x68771))))
% 190.77/190.67 [6878]~P1(f836(f836(f224(a1),x68781),a77))+P1(f836(f836(f224(a1),f836(f836(f74(a1),x68781),x68781)),a77))
% 190.77/190.67 [6879]~P1(f836(f836(f224(a1),x68791),a87))+P1(f836(f836(f224(a1),f836(f836(f74(a1),x68791),x68791)),a87))
% 190.77/190.67 [6880]~P1(f836(f836(f225(a1),x68801),a77))+P1(f836(f836(f225(a1),f836(f836(f74(a1),x68801),x68801)),a77))
% 190.77/190.67 [6881]~P1(f836(f836(f224(a1),x68811),a87))+P1(f836(f836(f225(a1),f836(f836(f74(a1),x68811),x68811)),a87))
% 190.77/190.67 [7206]E(f836(f94(a899),x72061),f2(a899))+~P1(f836(a183,f836(f94(a1),f836(f836(f74(a1),x72061),a87))))
% 190.77/190.67 [7458]~P1(f836(f836(f224(a1),f2(a1)),f836(f94(a1),x74581)))+P1(f836(f836(f224(a1),f2(a1)),f836(f94(a1),f836(f836(f74(a1),x74581),x74581))))
% 190.77/190.67 [7459]P1(f836(a183,f836(f94(a1),x74591)))+~P1(f836(a183,f836(f94(a1),f836(f836(f74(a1),x74591),x74591))))
% 190.77/190.67 [7460]P1(f836(f836(f224(a1),x74601),a77))+~P1(f836(f836(f224(a1),f836(f836(f74(a1),x74601),x74601)),a77))
% 190.77/190.67 [7461]P1(f836(f836(f224(a1),x74611),a87))+~P1(f836(f836(f224(a1),f836(f836(f74(a1),x74611),x74611)),a87))
% 190.77/190.67 [7462]P1(f836(f836(f224(a1),x74621),a87))+~P1(f836(f836(f225(a1),f836(f836(f74(a1),x74621),x74621)),a87))
% 190.77/190.67 [7463]P1(f836(f836(f225(a1),x74631),a77))+~P1(f836(f836(f225(a1),f836(f836(f74(a1),x74631),x74631)),a77))
% 190.77/190.67 [7825]E(f836(a97,f477(x78251)),x78251)+~P1(f836(f836(f318(f906(f905(a899,a899),a895)),x78251),a88))
% 190.77/190.67 [6431]~P94(x64311)+E(f836(f94(x64311),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f72(x64311))
% 190.77/190.67 [6927]~P1(f836(a183,f836(f94(a1),x69271)))+E(f836(f94(a899),f836(f836(f23(a1),f836(f836(f74(a1),x69271),x69271)),a87)),f2(a899))
% 190.77/190.67 [8001]~P1(f836(f836(f225(a1),f836(f94(a1),x80011)),f2(a1)))+E(f836(f241(a1,a1),f836(a47,f46(f836(f73(a1),f72(a1)),f836(f73(a1),f836(f94(a1),x80011))))),f836(f836(f31(a1),f72(a1)),f836(f94(a1),x80011)))
% 190.77/190.67 [8014]~P1(f836(f836(f225(a1),f836(f94(a1),x80141)),f2(a1)))+E(f836(f246(a1,a1),f836(a47,f46(f836(f73(a1),f72(a1)),f836(f73(a1),f836(f94(a1),x80141))))),f41(a1,f72(a1),f836(f94(a1),x80141)))
% 190.77/190.67 [8063]~P1(f836(f836(f224(a1),a77),x80631))+P1(f836(f836(f224(a1),a77),f836(f836(f23(a1),f836(f836(f74(a1),x80631),x80631)),a87)))
% 190.77/190.67 [8064]~P1(f836(f836(f224(a1),a87),x80641))+P1(f836(f836(f224(a1),a87),f836(f836(f23(a1),f836(f836(f74(a1),x80641),x80641)),a87)))
% 190.77/190.67 [8065]~P1(f836(f836(f224(a1),a77),x80651))+P1(f836(f836(f225(a1),a77),f836(f836(f23(a1),f836(f836(f74(a1),x80651),x80651)),a87)))
% 190.77/190.67 [8066]~P1(f836(f836(f225(a1),a87),x80661))+P1(f836(f836(f225(a1),a87),f836(f836(f23(a1),f836(f836(f74(a1),x80661),x80661)),a87)))
% 190.77/190.67 [8364]~P94(x83641)+~P27(x83641,f836(f94(x83641),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))
% 190.77/190.67 [8547]P1(f836(f836(f224(a1),a77),x85471))+~P1(f836(f836(f224(a1),a77),f836(f836(f23(a1),f836(f836(f74(a1),x85471),x85471)),a87)))
% 190.77/190.67 [8548]P1(f836(f836(f224(a1),a77),x85481))+~P1(f836(f836(f225(a1),a77),f836(f836(f23(a1),f836(f836(f74(a1),x85481),x85481)),a87)))
% 190.77/190.67 [8549]P1(f836(f836(f224(a1),a87),x85491))+~P1(f836(f836(f224(a1),a87),f836(f836(f23(a1),f836(f836(f74(a1),x85491),x85491)),a87)))
% 190.77/190.67 [8550]P1(f836(f836(f225(a1),a87),x85501))+~P1(f836(f836(f225(a1),a87),f836(f836(f23(a1),f836(f836(f74(a1),x85501),x85501)),a87)))
% 190.77/190.67 [8869]E(f836(f94(a899),f836(f836(f23(a1),f836(f836(f74(a1),x88691),x88691)),a87)),f836(f836(f80(a899,a899),f836(f94(a899),x88691)),f836(f836(f8(a899,a899,a899),a102),f836(f836(f18(a899,a899,a899),f74(a899)),f5(a899)))))+P1(f836(a183,f836(f94(a1),x88691)))
% 190.77/190.67 [9737]E(x97371,f178(f906(f905(a899,a899),a895)))+P1(f836(f836(f318(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f836(f836(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),x97371),f178(f906(f905(a899,a899),a895)))),a27))
% 190.77/190.67 [8796]~P1(f836(a183,f836(f94(a1),x87961)))+P1(f836(a183,f836(f94(a1),f836(f836(f23(a1),f836(f836(f74(a1),x87961),x87961)),a87))))
% 190.77/190.67 [8797]~P1(f836(f836(f225(a1),x87971),a77))+P1(f836(f836(f224(a1),f836(f836(f23(a1),f836(f836(f74(a1),x87971),x87971)),a87)),a77))
% 190.77/190.67 [8798]~P1(f836(f836(f224(a1),x87981),a87))+P1(f836(f836(f224(a1),f836(f836(f23(a1),f836(f836(f74(a1),x87981),x87981)),a87)),a87))
% 190.77/190.67 [8799]~P1(f836(f836(f225(a1),x87991),a77))+P1(f836(f836(f225(a1),f836(f836(f23(a1),f836(f836(f74(a1),x87991),x87991)),a87)),a77))
% 190.77/190.67 [8800]~P1(f836(f836(f225(a1),x88001),a87))+P1(f836(f836(f225(a1),f836(f836(f23(a1),f836(f836(f74(a1),x88001),x88001)),a87)),a87))
% 190.77/190.67 [8910]~P1(f836(f836(f224(a1),f2(a1)),f836(f94(a1),x89101)))+P1(f836(f836(f224(a1),f2(a1)),f836(f94(a1),f836(f836(f23(a1),f836(f836(f74(a1),x89101),x89101)),a87))))
% 190.77/190.67 [9068]~P94(x90681)+E(f836(f836(f74(x90681),f72(x90681)),f72(x90681)),f836(f94(x90681),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))
% 190.77/190.67 [9222]P1(f836(a183,f836(f94(a1),x92221)))+~P1(f836(a183,f836(f94(a1),f836(f836(f23(a1),f836(f836(f74(a1),x92221),x92221)),a87))))
% 190.77/190.67 [9223]P1(f836(f836(f224(a1),x92231),a87))+~P1(f836(f836(f224(a1),f836(f836(f23(a1),f836(f836(f74(a1),x92231),x92231)),a87)),a87))
% 190.77/190.67 [9224]P1(f836(f836(f225(a1),x92241),a77))+~P1(f836(f836(f224(a1),f836(f836(f23(a1),f836(f836(f74(a1),x92241),x92241)),a87)),a77))
% 190.77/190.67 [9225]P1(f836(f836(f225(a1),x92251),a77))+~P1(f836(f836(f225(a1),f836(f836(f23(a1),f836(f836(f74(a1),x92251),x92251)),a87)),a77))
% 190.77/190.67 [9226]P1(f836(f836(f225(a1),x92261),a87))+~P1(f836(f836(f225(a1),f836(f836(f23(a1),f836(f836(f74(a1),x92261),x92261)),a87)),a87))
% 190.77/190.67 [9782]~P1(f836(f29(f905(a899,a899)),x97821))+P1(f836(f836(f318(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f836(f836(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),f178(f906(f905(a899,a899),a895))),x97821)),a64))
% 190.77/190.67 [9559]~P144(x95591)+E(f836(f836(f234(x95591),f2(x95591)),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f2(x95591))
% 190.77/190.67 [9560]~P144(x95601)+E(f836(f836(f234(x95601),f72(x95601)),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f72(x95601))
% 190.77/190.67 [10005]~P1(f836(f836(f225(a899),f72(a899)),x100051))+P1(f836(f836(f225(a899),f2(a899)),f836(f836(f31(a899),x100051),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))))
% 190.77/190.67 [10011]~P1(f836(f836(f225(a899),f2(a899)),x100111))+P1(f836(f836(f225(a899),f2(a899)),f836(f836(f31(a899),f836(f836(f74(a899),x100111),f72(a899))),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))))
% 190.77/190.67 [10049]~E(f41(a899,x100491,f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f72(a899))+P1(f836(f836(f225(a899),f2(a899)),f41(a899,x100491,f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))))
% 190.77/190.67 [10079]E(f41(a899,x100791,f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f72(a899))+~P1(f836(f836(f225(a899),f2(a899)),f41(a899,x100791,f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))))
% 190.77/190.67 [4680]~P7(x46801,x46802)+P42(x46801,x46802)
% 190.77/190.67 [4681]~P36(x46811,x46812)+P57(x46811,x46812)
% 190.77/190.67 [4682]~P43(x46821,x46822)+P57(x46821,x46822)
% 190.77/190.67 [4684]~P7(x46841,x46842)+P49(x46841,x46842)
% 190.77/190.67 [4686]~P15(x46861,x46862)+P49(x46861,x46862)
% 190.77/190.67 [4688]~P7(x46881,x46882)+P50(x46881,x46882)
% 190.77/190.67 [4690]~P15(x46901,x46902)+P50(x46901,x46902)
% 190.77/190.67 [4691]~P7(x46911,x46912)+P15(x46911,x46912)
% 190.77/190.67 [4641]~E(x46411,x46412)+E(f259(x46411,x46412),f72(a89))
% 190.77/190.67 [4644]E(f206(x46441,x46442),x46441)+~E(x46442,f2(a899))
% 190.77/190.67 [4651]~E(x46512,f103(x46511))+E(f142(x46511,x46512),f103(x46511))
% 190.77/190.67 [4670]~E(f142(x46702,x46701),f103(x46702))+E(x46701,f103(x46702))
% 190.77/190.67 [4695]~P81(x46952)+P81(f906(x46951,x46952))
% 190.77/190.67 [4696]~P82(x46962)+P82(f906(x46961,x46962))
% 190.77/190.67 [4697]~P107(x46972)+P107(f906(x46971,x46972))
% 190.77/190.67 [4698]~P109(x46982)+P109(f906(x46981,x46982))
% 190.77/190.67 [4699]~P76(x46992)+P76(f906(x46991,x46992))
% 190.77/190.67 [4700]~P96(x47002)+P96(f906(x47001,x47002))
% 190.77/190.67 [4701]~P89(x47012)+P89(f906(x47011,x47012))
% 190.77/190.67 [4702]~P99(x47022)+P98(f906(x47021,x47022))
% 190.77/190.67 [4703]~P99(x47032)+P99(f906(x47031,x47032))
% 190.77/190.67 [4704]~P101(x47042)+P100(f906(x47041,x47042))
% 190.77/190.67 [4705]~P99(x47052)+P104(f906(x47051,x47052))
% 190.77/190.67 [4706]~P102(x47062)+P102(f906(x47061,x47062))
% 190.77/190.67 [4707]~P5(x47072)+P5(f906(x47071,x47072))
% 190.77/190.67 [4708]~P116(x47082)+P116(f906(x47081,x47082))
% 190.77/190.67 [4709]~P101(x47092)+P103(f906(x47091,x47092))
% 190.77/190.67 [4710]~P101(x47102)+P101(f906(x47101,x47102))
% 190.77/190.67 [4723]E(x47231,x47232)+~E(f836(a102,x47231),f836(a102,x47232))
% 190.77/190.67 [4724]E(x47241,x47242)+~E(f836(a97,x47241),f836(a97,x47242))
% 190.77/190.67 [4725]E(x47251,x47252)+~E(f836(a3,x47251),f836(a3,x47252))
% 190.77/190.67 [4727]E(x47271,x47272)+~E(f836(a20,x47271),f836(a20,x47272))
% 190.77/190.67 [4776]P38(x47761,x47762)+~E(f682(x47762,x47761),f683(x47762,x47761))
% 190.77/190.67 [4806]~P57(x48061,x48062)+P38(x48061,f297(x48061,x48062))
% 190.77/190.67 [4807]~P51(x48071,x48072)+P51(x48071,f297(x48071,x48072))
% 190.77/190.67 [4820]~P3(x48201)+E(f41(x48201,x48202,x48202),f2(x48201))
% 190.77/190.67 [4854]~P36(x48541,x48542)+P36(f900(x48541),f136(x48541,x48542))
% 190.77/190.67 [4855]~P36(x48551,x48552)+P36(f900(x48551),f135(x48551,x48552))
% 190.77/190.67 [4856]~P37(x48561,x48562)+P37(f900(x48561),f137(x48561,x48562))
% 190.77/190.67 [4857]~P37(x48571,x48572)+P37(f900(x48571),f148(x48571,x48572))
% 190.77/190.67 [4858]~P51(x48581,x48582)+P51(f900(x48581),f148(x48581,x48582))
% 190.77/190.67 [4955]~P36(x49551,x49552)+P36(f906(x49551,a895),f308(x49551,x49552))
% 190.77/190.67 [4956]~P36(x49561,x49562)+P36(f906(x49561,a895),f309(x49561,x49562))
% 190.77/190.67 [5087]~P6(x50871)+P39(f293(a1,x50871,x50872))
% 190.77/190.67 [5190]~P36(x51901,x51902)+P59(x51901,f62(x51901,x51901,x51902))
% 190.77/190.67 [5693]~P65(x56931)+P24(x56931,x56931,f73(x56931),x56932)
% 190.77/190.67 [4665]~E(x46652,f103(x46651))+E(f836(f157(x46651),x46652),f103(x46651))
% 190.77/190.67 [4666]~E(x46662,f103(x46661))+E(f836(f158(x46661),x46662),f103(x46661))
% 190.77/190.67 [4729]E(x47291,f836(a95,x47292))+~E(f836(f90(a1),x47291),x47292)
% 190.77/190.67 [4732]E(x47321,f103(x47322))+~E(f836(f157(x47322),x47321),f103(x47322))
% 190.77/190.67 [4733]E(x47331,f103(x47332))+~E(f836(f158(x47332),x47331),f103(x47332))
% 190.77/190.67 [4745]~P94(x47451)+E(f836(f94(x47451),x47452),f836(f93(x47451),x47452))
% 190.77/190.67 [4753]~P2(x47531)+P1(f836(f29(x47531),x47532))
% 190.77/190.67 [4761]~E(f642(x47612,x47611),f103(x47611))+E(f169(x47611,x47612),f103(f900(x47611)))
% 190.77/190.67 [4770]~E(x47702,f103(x47701))+E(f836(f162(x47701),x47702),f178(f906(x47701,a895)))
% 190.77/190.67 [4771]~E(x47712,f103(x47711))+E(f178(f906(x47711,a895)),f836(f162(x47711),x47712))
% 190.77/190.67 [4773]E(x47731,x47732)+~E(f836(f90(a1),x47731),f836(f90(a1),x47732))
% 190.77/190.67 [4777]E(f204(x47771,x47772),f2(a899))+P1(f836(f29(x47771),x47772))
% 190.77/190.67 [4795]~P111(x47951)+E(f76(x47951,f76(x47951,x47952)),f76(x47951,x47952))
% 190.77/190.67 [4809]~P112(x48091)+E(f836(f836(f234(x48091),x48092),f72(a899)),x48092)
% 190.77/190.67 [4810]~P80(x48101)+E(f836(f836(f234(x48101),x48102),f72(a899)),x48102)
% 190.77/190.67 [4811]~P51(x48111,x48112)+E(f836(f276(x48111,x48111),x48112),x48112)
% 190.77/190.67 [4815]E(x48151,x48152)+E(f259(x48151,x48152),f836(f836(f74(a89),x48152),f72(a89)))
% 190.77/190.67 [4818]E(f836(f30(x48181),x48182),f2(a899))+P1(f836(f29(x48181),x48182))
% 190.77/190.67 [4821]~E(f142(x48211,x48212),x48212)+P1(f836(f127(x48211),x48212))
% 190.77/190.67 [4824]~P66(x48241)+E(f836(f836(f23(x48241),x48242),f2(x48241)),x48242)
% 190.77/190.67 [4825]~P79(x48251)+E(f836(f836(f74(x48251),x48252),f2(x48251)),x48252)
% 190.77/190.67 [4826]~P73(x48261)+E(f836(f836(f74(x48261),x48262),f2(x48261)),x48262)
% 190.77/190.67 [4827]~P112(x48271)+E(f836(f836(f74(x48271),x48272),f2(x48271)),x48272)
% 190.77/190.67 [4828]~P112(x48281)+E(f836(f836(f75(x48281),x48282),f72(x48281)),x48282)
% 190.77/190.67 [4829]~P80(x48291)+E(f836(f836(f75(x48291),x48292),f72(x48291)),x48292)
% 190.77/190.67 [4830]~P74(x48301)+E(f836(f836(f75(x48301),x48302),f72(x48301)),x48302)
% 190.77/190.67 [4831]~P3(x48311)+E(f836(f836(f31(x48311),x48312),f72(x48311)),x48312)
% 190.77/190.67 [4832]~P122(x48321)+E(f836(f836(f281(x48321),x48322),f72(x48321)),x48322)
% 190.77/190.67 [4833]~P100(x48331)+E(f836(f836(f91(x48331),x48332),f178(x48331)),x48332)
% 190.77/190.67 [4834]~P103(x48341)+E(f836(f836(f92(x48341),x48342),f232(x48341)),x48342)
% 190.77/190.67 [4835]~P112(x48351)+E(f836(f836(f234(x48351),x48352),f2(a899)),f72(x48351))
% 190.77/190.67 [4836]~P115(x48361)+E(f836(f836(f234(x48361),x48362),f2(a899)),f72(x48361))
% 190.77/190.67 [4837]~E(x48372,f178(f906(x48371,a895)))+E(f836(f30(x48371),x48372),f2(a899))
% 190.77/190.67 [4848]~P3(x48481)+E(f41(x48481,x48482,f2(x48481)),x48482)
% 190.77/190.67 [4859]~P112(x48591)+E(f836(f836(f75(x48591),x48592),f2(x48591)),f2(x48591))
% 190.77/190.67 [4860]~P133(x48601)+E(f836(f836(f75(x48601),x48602),f2(x48601)),f2(x48601))
% 190.77/190.67 [4861]~P3(x48611)+E(f836(f836(f31(x48611),x48612),f2(x48611)),f2(x48611))
% 190.77/190.67 [4862]~P123(x48621)+E(f836(f836(f281(x48621),x48622),f2(x48621)),f2(x48621))
% 190.77/190.67 [4863]~P103(x48631)+E(f836(f836(f91(x48631),x48632),f232(x48631)),f232(x48631))
% 190.77/190.67 [4864]~P100(x48641)+E(f836(f836(f92(x48641),x48642),f178(x48641)),f178(x48641))
% 190.77/190.67 [4866]~P3(x48661)+E(f41(x48661,x48662,f72(x48661)),f2(x48661))
% 190.77/190.67 [4867]~P3(x48671)+E(f41(x48671,f2(x48671),x48672),f2(x48671))
% 190.77/190.67 [4896]E(x48961,f2(a899))+E(f51(x48962,x48961,f103(x48962)),f103(f900(x48962)))
% 190.77/190.67 [4919]P51(x49191,x49192)+~E(f836(f276(x49191,x49191),x49192),x49192)
% 190.77/190.67 [4920]P36(x49201,x49202)+~E(f512(x49202,x49201),f178(f906(x49201,a895)))
% 190.77/190.67 [4921]E(x49211,f103(x49212))+~E(f836(f162(x49212),x49211),f178(f906(x49212,a895)))
% 190.77/190.67 [4922]E(x49221,f103(x49222))+~E(f178(f906(x49222,a895)),f836(f162(x49222),x49221))
% 190.77/190.67 [4925]~E(x49251,x49252)+P1(f836(f836(a314,x49251),x49252))
% 190.77/190.67 [4935]P1(x49351)+P1(f836(f836(a319,x49351),x49352))
% 190.77/190.67 [4936]E(x49361,f103(x49362))+E(f836(f836(f154(x49362),x49361),f2(a899)),f836(f131(x49362),x49361))
% 190.77/190.67 [4939]E(f142(x49391,x49392),x49392)+~P1(f836(f127(x49391),x49392))
% 190.77/190.67 [4946]~P1(x49462)+P1(f836(f836(a319,x49461),x49462))
% 190.77/190.67 [4947]~P1(x49472)+P1(f836(f836(a316,x49471),x49472))
% 190.77/190.67 [4948]~P1(x49481)+P1(f836(f836(a316,x49481),x49482))
% 190.77/190.67 [4958]~E(f643(x49582,x49581),f647(x49582,x49581))+P1(f836(f127(x49581),x49582))
% 190.77/190.67 [4965]E(f836(f252(x49651),x49652),f178(f906(x49651,a895)))+P1(f836(x49652,f468(x49652)))
% 190.77/190.67 [4966]E(f178(f906(x49661,a895)),f836(f252(x49661),x49662))+P1(f836(x49662,f469(x49662)))
% 190.77/190.67 [5039]~P111(x50391)+E(f836(f836(f75(x50391),x50392),f76(x50391,x50392)),f836(f70(x50391),x50392))
% 190.77/190.67 [5051]~E(x50511,f2(a1))+E(f42(x50511,x50512),f836(f836(f242(a1,a1),f2(a1)),f2(a1)))
% 190.77/190.67 [5083]~P57(x50831,x50832)+P57(x50831,f836(f276(x50831,x50831),x50832))
% 190.77/190.67 [5084]~P37(x50841,x50842)+P37(x50841,f836(f276(x50841,x50841),x50842))
% 190.77/190.67 [5085]~P38(x50851,x50852)+P38(x50851,f836(f276(x50851,x50851),x50852))
% 190.77/190.67 [5086]~P51(x50861,x50862)+P51(x50861,f836(f276(x50861,x50861),x50862))
% 190.77/190.67 [5108]E(x51081,x51082)+~P1(f836(f836(a314,x51081),x51082))
% 190.77/190.67 [5119]P1(x51191)+~P1(f836(f836(a315,x51192),x51191))
% 190.77/190.67 [5120]P1(x51201)+~P1(f836(f836(a315,x51201),x51202))
% 190.77/190.67 [5125]~P116(x51251)+P1(f836(f836(f224(x51251),x51252),f232(x51251)))
% 190.77/190.67 [5126]~P112(x51261)+P1(f836(f836(f277(x51261),x51262),f2(x51261)))
% 190.77/190.67 [5130]E(x51301,x51302)+~E(f836(x51301,f375(x51302,x51301)),f836(x51302,f375(x51302,x51301)))
% 190.77/190.67 [5161]E(x51611,f2(a899))+E(f206(x51611,f41(a899,x51612,x51611)),f206(x51612,x51611))
% 190.77/190.67 [5166]~P108(x51661)+P13(x51661,f836(f836(f141(x51661),x51662),f103(x51661)))
% 190.77/190.67 [5168]E(x51681,f2(a1))+P1(f836(f45(x51682,x51681),f42(x51682,x51681)))
% 190.77/190.67 [5185]~P15(x51852,x51851)+P1(f836(f836(x51851,f778(x51851)),f778(x51851)))
% 190.77/190.67 [5188]~E(x51881,x51882)+P1(f836(f836(f225(a899),x51881),f836(a102,x51882)))
% 190.77/190.67 [5198]~E(x51981,f2(a899))+P1(f836(f836(f225(a899),x51981),f836(a102,x51982)))
% 190.77/190.67 [5208]P1(f836(x52081,x52082))+P1(f836(f836(f224(a1),f2(a1)),f795(x52081)))
% 190.77/190.67 [5271]P57(x52711,x52712)+~P57(x52711,f836(f276(x52711,x52711),x52712))
% 190.77/190.67 [5272]P37(x52721,x52722)+~P37(x52721,f836(f276(x52721,x52721),x52722))
% 190.77/190.67 [5273]P38(x52731,x52732)+~P38(x52731,f836(f276(x52731,x52731),x52732))
% 190.77/190.67 [5274]P51(x52741,x52742)+~P51(x52741,f836(f276(x52741,x52741),x52742))
% 190.77/190.67 [5277]~E(f41(a899,x52772,x52771),f2(a899))+E(f836(f836(f75(a899),x52771),f838(x52771,x52772)),x52772)
% 190.77/190.67 [5278]~E(f41(a1,x52782,x52781),f2(a1))+E(f836(f836(f75(a1),x52781),f839(x52781,x52782)),x52782)
% 190.77/190.67 [5305]~P1(f836(x53051,x53052))+P1(f836(f836(f224(a1),f2(a1)),f715(x53051)))
% 190.77/190.67 [5316]E(f836(f836(f23(a899),f836(a95,x53161)),f836(a95,x53162)),f836(a95,x53161))+~P1(f836(a183,x53162))
% 190.77/190.67 [5339]E(f262(x53391,x53392),f72(a89))+~P1(f836(f836(f224(a89),x53391),f72(a89)))
% 190.77/190.67 [5437]E(f836(f836(f154(x54371),x54372),f643(x54372,x54371)),f836(f836(f154(x54371),x54372),f647(x54372,x54371)))+P1(f836(f127(x54371),x54372))
% 190.77/190.67 [5481]~P1(f836(x54811,f84(x54812,x54811)))+P1(f836(x54811,f513(x54812,x54811)))
% 190.77/190.67 [5546]P59(x55461,x55462)+~P1(f836(f305(x55461,x55462),f487(x55462,x55461)))
% 190.77/190.67 [5690]~P15(x56902,x56901)+P1(f836(f836(x56901,f779(x56901,x56902)),f779(x56901,x56902)))
% 190.77/190.67 [5691]~P15(x56912,x56911)+P1(f836(f836(x56911,f782(x56911,x56912)),f782(x56911,x56912)))
% 190.77/190.67 [5700]~E(f836(a102,f41(a899,x57001,x57002)),x57002)+E(f41(a899,f836(a102,x57001),x57002),f2(a899))
% 190.77/190.67 [5755]P36(x57551,x57552)+P1(f836(f836(f318(x57551),f609(x57552,x57551)),f610(x57552,x57551)))
% 190.77/190.67 [5762]~P94(x57621)+P1(f836(f836(f318(x57621),f836(f94(x57621),x57622)),f100(x57621)))
% 190.77/190.67 [5763]~P128(x57631)+P1(f836(f836(f318(x57631),f836(f90(x57631),x57632)),f100(x57631)))
% 190.77/190.67 [5764]~P144(x57641)+P1(f836(f836(f318(x57641),f836(f90(x57641),x57642)),f176(x57641)))
% 190.77/190.67 [5765]~P128(x57651)+P1(f836(f836(f318(x57651),f836(f93(x57651),x57652)),f100(x57651)))
% 190.77/190.67 [5908]~P37(x59081,x59082)+E(f836(f836(f279(x59081,x59081,x59081),x59082),f297(x59081,x59082)),x59082)
% 190.77/190.67 [5922]E(f836(a102,f41(a899,x59221,x59222)),x59222)+E(f41(a899,f836(a102,x59221),x59222),f836(a102,f41(a899,x59221,x59222)))
% 190.77/190.67 [6354]P36(x63541,x63542)+~P1(f836(f836(f318(x63541),f498(x63542,x63541)),f306(x63541,x63542)))
% 190.77/190.67 [6393]~P110(x63931)+~P1(f836(f836(f225(x63931),f836(f90(x63931),x63932)),f2(x63931)))
% 190.77/190.67 [6394]~P86(x63941)+~P1(f836(f836(f225(x63941),f836(f70(x63941),x63942)),f2(x63941)))
% 190.77/190.67 [6485]P1(f836(f836(f225(a1),x64851),f41(a1,x64852,x64851)))+~P1(f836(f836(f225(a1),x64851),f2(a1)))
% 190.77/190.67 [6592]E(f836(f836(f299(a899),f836(a102,x65921)),f293(a899,x65922,x65921)),f293(a899,x65922,f836(a102,x65921)))+~P1(f836(f836(f224(a899),x65922),f836(a102,x65921)))
% 190.77/190.67 [6684]~P108(x66841)+P13(x66841,f140(x66841,x66841,f5(x66841),x66842))
% 190.77/190.67 [6817]E(f836(f157(x68171),x68172),x68172)+~P1(f836(f836(f224(a899),f836(f179(f900(x68171)),x68172)),f72(a899)))
% 190.77/190.67 [6839]~P86(x68391)+P1(f836(f836(f224(x68391),f836(f73(x68391),f836(f70(x68391),x68392))),f2(x68391)))
% 190.77/190.67 [6873]~P36(x68731,x68732)+P36(x68731,f836(f836(f279(x68731,x68731,x68731),x68732),f297(x68731,x68732)))
% 190.77/190.67 [6874]~P51(x68741,x68742)+P51(x68741,f836(f836(f279(x68741,x68741,x68741),x68742),f297(x68741,x68742)))
% 190.77/190.67 [7100]~P1(f836(f836(f225(a1),x71002),f2(a1)))+P1(f836(f836(f224(a1),f41(a1,x71001,x71002)),f2(a1)))
% 190.77/190.67 [7500]~P144(x75001)+E(f180(x75001,f836(f836(f7(x75001,x75001,x75001),f74(x75001)),f72(x75001)),x75002,f2(x75001)),f836(f90(x75001),x75002))
% 190.77/190.67 [7529]~P125(x75291)+~P1(f836(f836(f225(x75291),f836(f836(f75(x75291),x75292),x75292)),f2(x75291)))
% 190.77/190.67 [10171]~P111(x101711)+~P1(f836(f836(f225(x101711),f836(f836(f234(x101711),x101712),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))),f2(x101711)))
% 190.77/190.67 [4730]~E(x47302,f103(x47301))+E(f836(f179(f900(x47301)),x47302),f2(a899))
% 190.77/190.67 [4762]~E(x47621,f2(a899))+E(f836(f836(f74(a899),x47621),x47622),x47622)
% 190.77/190.67 [4763]~E(x47632,f2(a899))+E(f836(f836(f75(a899),x47631),x47632),f2(a899))
% 190.77/190.67 [4765]~E(x47651,f2(a899))+E(f836(f836(f75(a899),x47651),x47652),f2(a899))
% 190.77/190.67 [4766]~E(x47662,f2(a899))+E(f836(f836(f234(a899),x47661),x47662),f72(a899))
% 190.77/190.67 [4767]~E(x47672,f2(a1))+E(f836(f836(f31(a1),x47671),x47672),f2(a1))
% 190.77/190.67 [4778]E(x47781,f103(x47782))+~E(f836(f179(f900(x47782)),x47781),f2(a899))
% 190.77/190.67 [4780]~P97(x47801)+E(f836(f836(f75(x47801),x47802),x47802),x47802)
% 190.77/190.67 [4782]~P108(x47821)+E(f836(f836(f228(x47821),x47822),x47822),x47822)
% 190.77/190.67 [4784]~P108(x47841)+E(f836(f836(f223(x47841),x47842),x47842),x47842)
% 190.77/190.67 [4786]~P98(x47861)+E(f836(f836(f91(x47861),x47862),x47862),x47862)
% 190.77/190.67 [4787]~P99(x47871)+E(f836(f836(f91(x47871),x47872),x47872),x47872)
% 190.77/190.67 [4788]~P99(x47881)+E(f836(f836(f92(x47881),x47882),x47882),x47882)
% 190.77/190.67 [4790]~P104(x47901)+E(f836(f836(f92(x47901),x47902),x47902),x47902)
% 190.77/190.67 [4808]~P66(x48081)+E(f836(f836(f23(x48081),x48082),x48082),f2(x48081))
% 190.77/190.67 [4822]~P66(x48221)+E(f836(f73(x48221),f836(f73(x48221),x48222)),x48222)
% 190.77/190.67 [4823]~P96(x48231)+E(f836(f73(x48231),f836(f73(x48231),x48232)),x48232)
% 190.77/190.67 [4840]~E(x48402,f2(a899))+E(f836(f836(f234(a899),x48401),x48402),f836(a102,f2(a899)))
% 190.77/190.67 [4875]~P79(x48751)+E(f836(f836(f74(x48751),f2(x48751)),x48752),x48752)
% 190.77/190.67 [4876]~P73(x48761)+E(f836(f836(f74(x48761),f2(x48761)),x48762),x48762)
% 190.77/190.67 [4877]~P112(x48771)+E(f836(f836(f74(x48771),f2(x48771)),x48772),x48772)
% 190.77/190.67 [4878]~P112(x48781)+E(f836(f836(f75(x48781),f72(x48781)),x48782),x48782)
% 190.77/190.67 [4879]~P80(x48791)+E(f836(f836(f75(x48791),f72(x48791)),x48792),x48792)
% 190.77/190.67 [4880]~P74(x48801)+E(f836(f836(f75(x48801),f72(x48801)),x48802),x48802)
% 190.77/190.67 [4881]~P100(x48811)+E(f836(f836(f91(x48811),f178(x48811)),x48812),x48812)
% 190.77/190.67 [4882]~P103(x48821)+E(f836(f836(f92(x48821),f232(x48821)),x48822),x48822)
% 190.77/190.67 [4900]~P112(x49001)+E(f836(f836(f75(x49001),f2(x49001)),x49002),f2(x49001))
% 190.77/190.67 [4901]~P133(x49011)+E(f836(f836(f75(x49011),f2(x49011)),x49012),f2(x49011))
% 190.77/190.67 [4902]~P80(x49021)+E(f836(f836(f234(x49021),f72(x49021)),x49022),f72(x49021))
% 190.77/190.67 [4903]~P3(x49031)+E(f836(f836(f31(x49031),f2(x49031)),x49032),f2(x49031))
% 190.77/190.67 [4904]~P122(x49041)+E(f836(f836(f281(x49041),f2(x49041)),x49042),f2(x49041))
% 190.77/190.67 [4905]~P103(x49051)+E(f836(f836(f91(x49051),f232(x49051)),x49052),f232(x49051))
% 190.77/190.67 [4906]~P100(x49061)+E(f836(f836(f92(x49061),f178(x49061)),x49062),f178(x49061))
% 190.77/190.67 [4914]E(x49141,f103(x49142))+E(f134(x49142,f836(f158(x49142),x49141)),f836(f131(x49142),x49141))
% 190.77/190.67 [4915]E(x49151,f103(x49152))+E(f836(f131(x49152),f836(f158(x49152),x49151)),f134(x49152,x49151))
% 190.77/190.67 [4916]E(x49161,f2(a899))+~E(f836(f836(f74(a899),x49162),x49161),x49162)
% 190.77/190.67 [4923]~P94(x49231)+E(f836(f93(x49231),f836(f94(a1),x49232)),f836(f94(x49231),x49232))
% 190.77/190.67 [4924]~P128(x49241)+E(f836(f93(x49241),f836(f90(a1),x49242)),f836(f90(x49241),x49242))
% 190.77/190.67 [4931]E(x49311,f2(a899))+~E(f836(f836(f74(a899),x49312),x49311),f2(a899))
% 190.77/190.67 [4932]E(x49321,f2(a899))+~E(f836(f836(f74(a899),x49321),x49322),f2(a899))
% 190.77/190.67 [4933]E(x49331,f72(a899))+~E(f836(f836(f75(a899),x49332),x49331),f72(a899))
% 190.77/190.67 [4934]E(x49341,f72(a899))+~E(f836(f836(f75(a899),x49341),x49342),f72(a899))
% 190.77/190.67 [4951]~P111(x49511)+E(f836(f70(x49511),f836(f90(x49511),x49512)),f836(f90(x49511),x49512))
% 190.77/190.67 [4952]~P86(x49521)+E(f836(f70(x49521),f836(f73(x49521),x49522)),f836(f70(x49521),x49522))
% 190.77/190.67 [4953]~P86(x49531)+E(f836(f70(x49531),f836(f70(x49531),x49532)),f836(f70(x49531),x49532))
% 190.77/190.67 [4954]~P73(x49541)+E(f836(f155(x49541),f836(f158(x49541),x49542)),f836(f155(x49541),x49542))
% 190.77/190.67 [4959]~E(x49591,f836(a102,f2(a899)))+E(f836(f836(f234(a899),x49591),x49592),f836(a102,f2(a899)))
% 190.77/190.67 [4968]~P66(x49681)+E(f836(f836(f23(x49681),f2(x49681)),x49682),f836(f73(x49681),x49682))
% 190.77/190.67 [4969]~E(x49692,f2(a899))+E(f129(a899,f836(f292(a899,x49691),x49692)),f103(a899))
% 190.77/190.67 [4978]~P94(x49781)+E(f836(f836(f74(x49781),x49782),f836(f94(x49781),a77)),x49782)
% 190.77/190.67 [4979]E(x49791,f2(a1))+E(f43(f836(f70(a1),x49792),f836(f70(a1),x49791)),f49(x49792,x49791))
% 190.77/190.67 [4995]~E(x49951,x49952)+P1(f836(f836(f224(a899),x49951),x49952))
% 190.77/190.67 [4999]~E(x49991,x49992)+P1(f836(f836(f277(a899),x49991),x49992))
% 190.77/190.67 [5006]~E(x50061,f2(a89))+E(f836(f836(f74(a899),f836(a20,x50061)),x50062),x50062)
% 190.77/190.67 [5020]~P6(x50201)+P6(f836(f836(f234(a1),x50201),x50202))
% 190.77/190.67 [5021]~P66(x50211)+E(f836(f836(f74(x50211),x50212),f836(f73(x50211),x50212)),f2(x50211))
% 190.77/190.67 [5022]~P96(x50221)+E(f836(f836(f91(x50221),x50222),f836(f73(x50221),x50222)),f232(x50221))
% 190.77/190.67 [5023]~P96(x50231)+E(f836(f836(f92(x50231),x50232),f836(f73(x50231),x50232)),f178(x50231))
% 190.77/190.67 [5048]E(x50481,f2(a899))+~E(f836(f73(a1),f836(f90(a1),x50482)),f836(f90(a1),x50481))
% 190.77/190.67 [5049]E(x50491,f2(a899))+~E(f836(f73(a1),f836(f90(a1),x50491)),f836(f90(a1),x50492))
% 190.77/190.67 [5059]E(f184(x50591,x50592),f2(a1))+P1(f836(f836(f224(a1),x50592),x50591))
% 190.77/190.67 [5060]E(f168(x50601,x50602),f103(a1))+P1(f836(f836(f224(a1),x50601),x50602))
% 190.77/190.67 [5061]E(f231(x50611,x50612),f2(a89))+P1(f836(f836(f225(a89),x50611),x50612))
% 190.77/190.67 [5074]E(x50741,f836(a102,f2(a899)))+~E(f836(f836(f75(a899),x50742),x50741),f836(a102,f2(a899)))
% 190.77/190.67 [5075]E(x50751,f836(a102,f2(a899)))+~E(f836(f836(f75(a899),x50751),x50752),f836(a102,f2(a899)))
% 190.77/190.67 [5076]~P81(x50761)+P1(f836(f836(f224(x50761),x50762),x50762))
% 190.77/190.67 [5077]~P112(x50771)+P1(f836(f836(f277(x50771),x50772),x50772))
% 190.77/190.67 [5080]~P94(x50801)+E(f836(f836(f75(x50801),x50802),f836(f94(x50801),a87)),f836(f73(x50801),x50802))
% 190.77/190.67 [5100]~P94(x51001)+E(f836(f73(x51001),f836(f94(x51001),x51002)),f836(f94(x51001),f836(f73(a1),x51002)))
% 190.77/190.67 [5101]~P128(x51011)+E(f836(f73(x51011),f836(f93(x51011),x51012)),f836(f93(x51011),f836(f73(a1),x51012)))
% 190.77/190.67 [5131]~E(x51311,f836(a102,x51312))+P1(f836(f836(f225(a899),f2(a899)),x51311))
% 190.77/190.67 [5149]~P108(x51491)+E(f836(f73(f906(x51491,a895)),f836(f272(x51491),x51492)),f836(f273(x51491),x51492))
% 190.77/190.67 [5150]~P108(x51501)+E(f836(f73(f906(x51501,a895)),f836(f291(x51501),x51502)),f836(f294(x51501),x51502))
% 190.77/190.67 [5151]~P108(x51511)+E(f836(f73(f906(x51511,a895)),f836(f273(x51511),x51512)),f836(f272(x51511),x51512))
% 190.77/190.67 [5152]~P108(x51521)+E(f836(f73(f906(x51521,a895)),f836(f294(x51521),x51522)),f836(f291(x51521),x51522))
% 190.77/190.67 [5160]~E(f836(f90(a1),x51602),x51601)+P1(f836(f836(f224(a1),f2(a1)),x51601))
% 190.77/190.67 [5167]~E(x51672,f2(a1))+E(f49(x51671,x51672),f836(f836(f242(a1,a1),f2(a1)),f836(f70(a1),x51671)))
% 190.77/190.67 [5169]~P82(x51691)+P1(f836(f836(f224(x51691),f178(x51691)),x51692))
% 190.77/190.67 [5170]~P112(x51701)+P1(f836(f836(f277(x51701),f72(x51701)),x51702))
% 190.77/190.67 [5203]E(x52031,x52032)+~E(f836(f836(f74(a1),x52031),x52031),f836(f836(f74(a1),x52032),x52032))
% 190.77/190.67 [5207]~P1(f836(x52071,x52072))+P1(f836(x52071,f836(a95,f715(x52071))))
% 190.77/190.67 [5233]~P111(x52331)+E(f836(f836(f75(x52331),f76(x52331,x52332)),f836(f70(x52331),x52332)),x52332)
% 190.77/190.67 [5240]~E(x52402,f2(a899))+E(f79(f905(a899,a899),f44(x52401,x52402)),f836(f836(f242(a899,a899),f2(a899)),x52401))
% 190.77/190.67 [5245]~E(x52451,x52452)+~P1(f836(f836(f225(a899),x52451),x52452))
% 190.77/190.67 [5246]~E(x52461,x52462)+~P1(f836(f836(f225(a1),x52461),x52462))
% 190.77/190.67 [5249]~P144(x52491)+E(f836(f836(f74(x52491),f72(x52491)),f836(f90(x52491),x52492)),f836(f90(x52491),f836(a102,x52492)))
% 190.77/190.67 [5253]~E(x52531,f2(a899))+~P1(f836(f836(f225(a899),x52532),x52531))
% 190.77/190.67 [5267]E(f142(x52671,x52672),x52672)+~E(f836(f179(f900(x52671)),f142(x52671,x52672)),f836(f179(f900(x52671)),x52672))
% 190.77/190.67 [5268]E(f836(f30(x52681),f836(f162(x52681),x52682)),f836(f179(f900(x52681)),x52682))+~P1(f836(f127(x52681),x52682))
% 190.77/190.67 [5282]~P1(f836(x52821,f533(x52821)))+P1(f836(x52821,f836(f90(a1),x52822)))
% 190.77/190.67 [5293]E(f231(x52931,x52932),x52932)+~P1(f836(f836(f225(a89),x52931),x52932))
% 190.77/190.67 [5295]E(f262(x52951,x52952),f72(a89))+~P1(f836(f836(f225(a89),x52952),x52951))
% 190.77/190.67 [5296]E(f168(x52961,x52962),f103(a1))+~P1(f836(f836(f225(a1),x52962),x52961))
% 190.77/190.67 [5297]E(f118(x52971,x52972),f105(a1))+~P1(f836(f836(f225(a1),x52971),x52972))
% 190.77/190.67 [5299]~P109(x52991)+E(f293(x52991,x52992,x52992),f836(f836(f299(x52991),x52992),f178(f906(x52991,a895))))
% 190.77/190.67 [5319]~E(f836(f836(f23(a899),x53191),x53192),f2(a899))+P1(f836(f836(f224(a899),x53191),x53192))
% 190.77/190.67 [5336]~E(x53362,f2(a899))+E(f51(x53361,x53362,f103(x53361)),f836(f836(f141(f900(x53361)),f103(x53361)),f103(f900(x53361))))
% 190.77/190.67 [5340]~P81(x53401)+~P1(f836(f836(f225(x53401),x53402),x53402))
% 190.77/190.67 [5342]~E(f41(a1,x53421,x53422),f2(a1))+E(f41(a1,x53421,f836(f73(a1),x53422)),f2(a1))
% 190.77/190.67 [5344]~E(f41(a1,x53441,x53442),f2(a1))+E(f41(a1,f836(f73(a1),x53441),x53442),f2(a1))
% 190.77/190.67 [5352]E(f836(f292(a899,x53521),f836(a102,x53522)),f178(f906(a899,a895)))+P1(f836(f836(f224(a899),x53521),x53522))
% 190.77/190.67 [5376]E(f129(a899,f836(f292(a899,x53761),x53762)),f103(a899))+P1(f836(f836(f225(a899),x53761),x53762))
% 190.77/190.67 [5382]~E(f836(f30(x53821),f836(f162(x53821),x53822)),f836(f179(f900(x53821)),x53822))+P1(f836(f127(x53821),x53822))
% 190.77/190.67 [5386]~P1(f836(f127(x53861),x53862))+P1(f836(f127(x53861),f836(f157(x53861),x53862)))
% 190.77/190.67 [5387]~P1(f836(f127(x53871),x53872))+P1(f836(f127(x53871),f836(f161(x53871),x53872)))
% 190.77/190.67 [5388]~P1(f836(f127(x53881),x53882))+P1(f836(f127(x53881),f836(f158(x53881),x53882)))
% 190.77/190.67 [5396]P1(f836(x53961,x53962))+~P1(f836(x53961,f836(a95,f795(x53961))))
% 190.77/190.67 [5397]P1(f836(f836(f224(a899),x53972),x53971))+P1(f836(f836(f224(a899),x53971),x53972))
% 190.77/190.67 [5398]P1(f836(f836(f224(a1),x53982),x53981))+P1(f836(f836(f224(a1),x53981),x53982))
% 190.77/190.67 [5402]~P86(x54021)+P1(f836(f836(f224(x54021),x54022),f836(f70(x54021),x54022)))
% 190.77/190.67 [5405]P1(f836(x54051,f576(x54051)))+~P1(f836(x54051,f836(f90(a1),x54052)))
% 190.77/190.67 [5429]E(f836(f836(f23(a899),x54291),x54292),f2(a899))+~P1(f836(f836(f224(a899),x54291),x54292))
% 190.77/190.67 [5430]E(f836(f836(f31(a899),x54301),x54302),f2(a899))+~P1(f836(f836(f225(a899),x54301),x54302))
% 190.77/190.67 [5449]E(f41(a899,x54491,x54492),x54491)+~P1(f836(f836(f225(a899),x54491),x54492))
% 190.77/190.67 [5457]E(f41(a1,x54571,f836(f73(a1),x54572)),f282(x54571,x54572))+P1(f836(f836(f224(a1),f2(a1)),x54572))
% 190.77/190.67 [5470]E(f836(f836(f23(a1),x54701),x54702),f184(x54701,x54702))+~P1(f836(f836(f224(a1),x54702),x54701))
% 190.77/190.67 [5490]P1(f836(f836(f224(a1),f2(a1)),f533(x54901)))+P1(f836(x54901,f836(f90(a1),x54902)))
% 190.77/190.67 [5503]~P110(x55031)+P1(f836(f836(f224(x55031),f2(x55031)),f836(f90(x55031),x55032)))
% 190.77/190.67 [5504]~P86(x55041)+P1(f836(f836(f224(x55041),f2(x55041)),f836(f70(x55041),x55042)))
% 190.77/190.67 [5532]E(f836(f836(f74(a899),x55321),f376(x55322,x55321)),x55322)+~P1(f836(f836(f224(a899),x55321),x55322))
% 190.77/190.67 [5547]E(f293(a1,x55471,x55472),f178(f906(a1,a895)))+~P1(f836(f836(f225(a1),x55472),x55471))
% 190.77/190.67 [5550]~P111(x55501)+E(f836(f836(f75(x55501),f836(f70(x55501),x55502)),f836(f70(x55501),x55502)),f836(f836(f75(x55501),x55502),x55502))
% 190.77/190.67 [5555]E(f129(a899,f836(f292(a899,x55551),f836(a102,x55552))),f103(a899))+P1(f836(f836(f224(a899),x55551),x55552))
% 190.77/190.67 [5558]E(f836(f836(f31(a1),x55581),x55582),f283(x55581,x55582))+~P1(f836(f836(f224(a1),f2(a1)),x55582))
% 190.77/190.67 [5578]P1(f836(f127(x55781),x55782))+~P1(f836(f127(x55781),f836(f157(x55781),x55782)))
% 190.77/190.67 [5579]P1(f836(f127(x55791),x55792))+~P1(f836(f127(x55791),f836(f158(x55791),x55792)))
% 190.77/190.67 [5606]P1(f836(f29(a899),x56061))+P1(f836(f836(f318(a899),f728(x56061,x56062)),x56061))
% 190.77/190.67 [5607]P1(f836(f29(a899),x56071))+P1(f836(f836(f318(a899),f755(x56071,x56072)),x56071))
% 190.77/190.67 [5610]P1(f836(f836(f225(a899),x56102),f836(a102,x56101)))+P1(f836(f836(f225(a899),x56101),x56102))
% 190.77/190.67 [5611]E(f41(a1,x56111,x56112),f282(x56111,x56112))+~P1(f836(f836(f224(a1),f2(a1)),x56112))
% 190.77/190.67 [5614]E(f129(a899,f836(f292(a899,x56141),x56142)),f103(a899))+~P1(f836(f836(f224(a899),x56142),x56141))
% 190.77/190.67 [5615]~P65(x56151)+E(f836(f300(x56151,x56151,f73(x56151)),f836(f272(x56151),x56152)),f836(f294(x56151),f836(f73(x56151),x56152)))
% 190.77/190.67 [5616]~P65(x56161)+E(f836(f300(x56161,x56161,f73(x56161)),f836(f291(x56161),x56162)),f836(f273(x56161),f836(f73(x56161),x56162)))
% 190.77/190.67 [5617]~P65(x56171)+E(f836(f300(x56171,x56171,f73(x56171)),f836(f273(x56171),x56172)),f836(f291(x56171),f836(f73(x56171),x56172)))
% 190.77/190.67 [5618]~P65(x56181)+E(f836(f300(x56181,x56181,f73(x56181)),f836(f294(x56181),x56182)),f836(f272(x56181),f836(f73(x56181),x56182)))
% 190.77/190.67 [5629]E(x56291,f178(f906(x56292,a895)))+P1(f836(f836(f318(x56292),f850(x56291,x56292)),x56291))
% 190.77/190.67 [5630]E(x56301,f178(f906(x56302,a895)))+P1(f836(f836(f318(x56302),f857(x56301,x56302)),x56301))
% 190.77/190.67 [5641]~P1(f836(f836(f225(a899),x56411),x56412))+P1(f836(f836(f224(a899),x56411),x56412))
% 190.77/190.67 [5642]~P1(f836(f836(f225(a1),x56421),x56422))+P1(f836(f836(f224(a1),x56421),x56422))
% 190.77/190.67 [5658]E(f43(x56581,x56582),f836(f836(f242(a1,a1),f2(a1)),x56581))+~P1(f836(f836(f225(a1),x56581),x56582))
% 190.77/190.67 [5660]E(f205(f836(f73(a1),x56601),f836(f73(a1),x56602)),f205(x56601,x56602))+~P1(f836(f836(f225(a1),x56602),f2(a1)))
% 190.77/190.67 [5672]E(x56721,x56722)+~E(f836(a3,f836(a102,f836(a20,x56721))),f836(a3,f836(a102,f836(a20,x56722))))
% 190.77/190.67 [5677]E(f43(x56771,x56772),f836(f836(f242(a1,a1),f2(a1)),x56771))+~P1(f836(f836(f224(a1),x56772),f2(a1)))
% 190.77/190.67 [5706]E(f41(a899,f836(f94(a899),x57061),f836(f94(a899),x57062)),f2(a899))+~P1(f836(a183,f836(f94(a1),x57061)))
% 190.77/190.67 [5720]P1(f836(f836(f224(a1),f2(a1)),f576(x57201)))+~P1(f836(x57201,f836(f90(a1),x57202)))
% 190.77/190.67 [5753]P39(f293(a1,x57531,x57532))+~P1(f836(f836(f224(a1),f2(a1)),x57531))
% 190.77/190.67 [5758]~P1(f836(f29(x57581),x57582))+P1(f836(f29(f906(x57581,a895)),f836(f298(x57581),x57582)))
% 190.77/190.67 [5771]E(f836(f836(f74(a1),x57711),f836(f90(a1),f611(x57712,x57711))),x57712)+~P1(f836(f836(f224(a1),x57711),x57712))
% 190.77/190.67 [5779]P1(f836(f836(f224(a899),x57791),x57792))+P1(f836(f836(f224(a899),f836(a102,x57792)),x57791))
% 190.77/190.67 [5823]E(f836(f836(f31(a899),f836(f94(a899),x58231)),f836(f94(a899),x58232)),f2(a899))+~P1(f836(a183,f836(f94(a1),x58231)))
% 190.77/190.67 [5824]E(f836(f836(f75(a899),f836(f94(a899),x58241)),f836(f94(a899),x58242)),f2(a899))+~P1(f836(f836(f225(a1),x58241),a77))
% 190.77/190.67 [5826]P1(f836(f836(f224(a899),x58261),f836(a102,x58262)))+~P1(f836(f836(f224(a899),x58261),x58262))
% 190.77/190.67 [5828]P1(f836(f836(f225(a899),x58281),f836(a102,x58282)))+~P1(f836(f836(f224(a899),x58281),x58282))
% 190.77/190.67 [5830]P1(f836(f836(f225(a899),x58301),f836(a102,x58302)))+~P1(f836(f836(f225(a899),x58301),x58302))
% 190.77/190.67 [5833]~E(x58331,x58332)+P1(f836(f836(f225(a1),x58331),f836(f836(f74(a1),x58332),f72(a1))))
% 190.77/190.67 [5836]E(f41(a1,x58361,x58362),f2(a1))+E(f836(f836(f23(a1),x58362),f41(a1,x58361,x58362)),f41(a1,f836(f73(a1),x58361),x58362))
% 190.77/190.67 [5845]E(x58451,f103(x58452))+P1(f836(f836(f318(x58452),f134(x58452,x58451)),f836(f162(x58452),x58451)))
% 190.77/190.67 [5857]E(f79(f905(a899,a899),f44(x58571,x58572)),f836(f836(f242(a899,a899),f2(a899)),x58571))+~P1(f836(f836(f225(a899),x58571),x58572))
% 190.77/190.67 [5901]E(f836(f836(f23(a899),f836(f94(a899),x59011)),f836(f94(a899),x59012)),f836(f94(a899),x59011))+~P1(f836(f836(f225(a1),x59012),a77))
% 190.77/190.67 [5902]E(f836(f836(f74(a899),f836(f94(a899),x59021)),f836(f94(a899),x59022)),f836(f94(a899),x59022))+~P1(f836(f836(f225(a1),x59021),a77))
% 190.77/190.67 [5909]E(f836(a102,f836(f836(f74(a899),x59091),f455(x59092,x59091))),x59092)+~P1(f836(f836(f225(a899),x59091),x59092))
% 190.77/190.67 [5933]P1(f836(x59331,x59332))+~P1(f836(x59331,f836(a83,f514(x59332,x59331))))
% 190.77/190.67 [5934]P1(f836(x59341,x59342))+~P1(f836(x59341,f836(a3,f796(x59342,x59341))))
% 190.77/190.67 [5943]~P1(f836(f836(f225(a899),x59431),f836(a102,x59432)))+P1(f836(f836(f224(a899),x59431),x59432))
% 190.77/190.67 [5993]E(f836(f836(f299(a899),x59931),f836(f292(a899,x59932),x59931)),f836(f292(a899,x59932),f836(a102,x59931)))+~P1(f836(f836(f224(a899),x59932),x59931))
% 190.77/190.67 [5996]E(x59961,f103(x59962))+E(f836(f836(f124(x59962),f104(x59962,x59961)),f836(f836(f141(x59962),f134(x59962,x59961)),f103(x59962))),x59961)
% 190.77/190.67 [6013]P1(f836(f29(x60131),x60132))+~P1(f836(f836(f225(a899),f2(a899)),f836(f30(x60131),x60132)))
% 190.77/190.67 [6017]~E(x60171,f178(f906(x60172,a895)))+~P1(f836(f836(f225(a899),f2(a899)),f836(f30(x60172),x60171)))
% 190.77/190.67 [6029]~P1(f836(f836(f225(a899),x60291),x60292))+P1(f836(f836(f224(a899),f836(a102,x60291)),x60292))
% 190.77/190.67 [6033]~P108(x60331)+E(f140(x60331,x60331,f5(x60331),f142(x60331,x60332)),f129(x60331,f836(f162(x60331),x60332)))
% 190.77/190.67 [6036]E(x60361,f103(x60362))+P1(f836(f836(f318(x60362),f836(f131(x60362),x60361)),f836(f162(x60362),x60361)))
% 190.77/190.67 [6042]~P110(x60421)+P1(f836(f836(f225(x60421),x60422),f836(f836(f74(x60421),x60422),f72(x60421))))
% 190.77/190.67 [6044]~P86(x60441)+P1(f836(f836(f224(x60441),f836(f73(x60441),x60442)),f836(f70(x60441),x60442)))
% 190.77/190.67 [6058]~E(x60581,x60582)+E(f280(a899,f277(a899),x60581,x60582),f836(f836(f299(a899),x60581),f178(f906(a899,a895))))
% 190.77/190.67 [6076]P1(f836(f29(a899),x60761))+~P1(f836(f836(f224(a899),f728(x60761,x60762)),x60762))
% 190.77/190.67 [6077]P1(f836(f29(a899),x60771))+~P1(f836(f836(f225(a899),f755(x60771,x60772)),x60772))
% 190.77/190.67 [6080]~P1(f836(f29(f905(x60801,x60801)),x60802))+P1(f836(f29(x60801),f836(f271(x60801),x60802)))
% 190.77/190.67 [6136]E(f280(a899,f277(a899),x61361,x61362),f178(f906(a899,a895)))+P1(f836(f836(f277(a899),x61361),x61362))
% 190.77/190.67 [6139]~P1(f836(f836(f225(a899),x61392),f836(a102,x61391)))+~P1(f836(f836(f225(a899),x61391),x61392))
% 190.77/190.67 [6140]~P109(x61401)+E(f836(f836(f92(f906(x61401,a895)),f836(f291(x61401),x61402)),f836(f273(x61401),x61402)),f836(f836(f299(x61401),x61402),f178(f906(x61401,a895))))
% 190.77/190.67 [6152]P1(f836(f29(x61521),x61522))+~P1(f836(f29(f906(x61521,a895)),f836(f298(x61521),x61522)))
% 190.77/190.67 [6174]P1(f836(f836(f224(a899),f836(a102,x61741)),f836(a102,x61742)))+~P1(f836(f836(f224(a899),x61741),x61742))
% 190.77/190.67 [6175]P1(f836(f836(f224(a899),f836(a20,x61751)),f836(a20,x61752)))+~P1(f836(f836(f224(a89),x61751),x61752))
% 190.77/190.67 [6176]P1(f836(f836(f224(a89),f836(a3,x61761)),f836(a3,x61762)))+~P1(f836(f836(f224(a899),x61761),x61762))
% 190.77/190.67 [6178]P1(f836(f836(f225(a899),f836(a102,x61781)),f836(a102,x61782)))+~P1(f836(f836(f225(a899),x61781),x61782))
% 190.77/190.67 [6179]P1(f836(f836(f225(a899),f836(a20,x61791)),f836(a20,x61792)))+~P1(f836(f836(f225(a89),x61791),x61792))
% 190.77/190.67 [6180]P1(f836(f836(f225(a89),f836(a3,x61801)),f836(a3,x61802)))+~P1(f836(f836(f225(a899),x61801),x61802))
% 190.77/190.67 [6185]E(x61851,x61852)+~E(f836(f300(a899,a1,f90(a1)),x61851),f836(f300(a899,a1,f90(a1)),x61852))
% 190.77/190.67 [6201]P1(f836(f836(f224(a899),x62011),x62012))+~P1(f836(f836(f224(a899),f836(a102,x62011)),x62012))
% 190.77/190.67 [6204]P1(f836(f836(f225(a899),x62041),x62042))+~P1(f836(f836(f224(a899),f836(a102,x62041)),x62042))
% 190.77/190.67 [6205]P1(f836(f836(f225(a899),x62051),x62052))+~P1(f836(f836(f225(a899),f836(a102,x62051)),x62052))
% 190.77/190.67 [6225]E(f41(a1,x62251,x62252),f2(a1))+E(f836(f836(f23(a1),f41(a1,x62251,x62252)),x62252),f41(a1,x62251,f836(f73(a1),x62252)))
% 190.77/190.67 [6293]E(f836(f30(f906(x62931,a895)),f836(f298(x62931),x62932)),f836(f836(f234(a899),f836(a102,f836(a102,f2(a899)))),f836(f30(x62931),x62932)))+~P1(f836(f29(x62931),x62932))
% 190.77/190.67 [6296]E(x62961,f103(x62962))+E(f836(f836(f154(x62962),x62961),f836(f836(f23(a899),f836(f179(f900(x62962)),x62961)),f72(a899))),f134(x62962,x62961))
% 190.77/190.67 [6318]E(x63181,f103(x63182))+E(f836(f836(f124(x63182),f836(f161(x63182),x63181)),f836(f836(f141(x63182),f836(f131(x63182),x63181)),f103(x63182))),f836(f157(x63182),x63181))
% 190.77/190.67 [6351]~P1(f836(f29(x63511),f32(f906(x63511,a895),x63512)))+P1(f836(f29(f906(x63511,a895)),x63512))
% 190.77/190.67 [6373]P1(f836(f836(f224(a899),f836(f94(a899),x63731)),f836(f94(a899),x63732)))+~P1(f836(f836(f224(a1),x63731),a77))
% 190.77/190.67 [6397]~P1(f836(f836(f225(a1),x63971),x63972))+P1(f836(f836(f224(a1),x63971),f836(f836(f23(a1),x63972),f72(a1))))
% 190.77/190.67 [6398]~P1(f836(f836(f224(a1),x63981),x63982))+P1(f836(f836(f225(a1),x63981),f836(f836(f74(a1),x63982),f72(a1))))
% 190.77/190.67 [6399]~P1(f836(f836(f225(a1),x63991),x63992))+P1(f836(f836(f225(a1),x63991),f836(f836(f74(a1),x63992),f72(a1))))
% 190.77/190.67 [6401]~P1(f836(f836(f224(a1),x64011),x64012))+P1(f836(f836(f224(a899),f836(f94(a899),x64011)),f836(f94(a899),x64012)))
% 190.77/190.67 [6402]~P1(f836(f836(f224(a1),x64021),x64022))+P1(f836(f836(f224(a1),f836(f94(a1),x64021)),f836(f94(a1),x64022)))
% 190.77/190.67 [6404]~P1(f836(f836(f224(a899),x64041),x64042))+P1(f836(f836(f224(a1),f836(f90(a1),x64041)),f836(f90(a1),x64042)))
% 190.77/190.67 [6405]~P1(f836(f836(f225(a1),x64051),x64052))+P1(f836(f836(f225(a1),f836(f94(a1),x64051)),f836(f94(a1),x64052)))
% 190.77/190.67 [6407]~P1(f836(f836(f225(a899),x64071),x64072))+P1(f836(f836(f225(a1),f836(f90(a1),x64071)),f836(f90(a1),x64072)))
% 190.77/190.67 [6428]~P1(f836(f836(f224(a899),x64281),x64282))+~P1(f836(f836(f224(a899),f836(a102,x64282)),x64281))
% 190.77/190.67 [6471]~P1(f836(f836(f224(a899),f836(a102,x64711)),f836(a102,x64712)))+P1(f836(f836(f224(a899),x64711),x64712))
% 190.77/190.67 [6472]~P1(f836(f836(f224(a89),f836(a3,x64721)),f836(a3,x64722)))+P1(f836(f836(f224(a899),x64721),x64722))
% 190.77/190.67 [6473]~P1(f836(f836(f224(a899),f836(a20,x64731)),f836(a20,x64732)))+P1(f836(f836(f224(a89),x64731),x64732))
% 190.77/190.67 [6475]~P1(f836(f836(f225(a899),f836(a102,x64751)),f836(a102,x64752)))+P1(f836(f836(f225(a899),x64751),x64752))
% 190.77/190.67 [6476]~P1(f836(f836(f225(a89),f836(a3,x64761)),f836(a3,x64762)))+P1(f836(f836(f225(a899),x64761),x64762))
% 190.77/190.67 [6477]~P1(f836(f836(f225(a899),f836(a95,x64771)),f836(a95,x64772)))+P1(f836(f836(f225(a1),x64771),x64772))
% 190.77/190.67 [6478]~P1(f836(f836(f225(a899),f836(a20,x64781)),f836(a20,x64782)))+P1(f836(f836(f225(a89),x64781),x64782))
% 190.77/190.67 [6520]~P1(f836(f836(f225(a899),f836(a95,x65202)),f836(a95,x65201)))+P1(f836(f836(f225(a1),f2(a1)),x65201))
% 190.77/190.67 [6531]~E(f41(a1,f836(f94(a1),x65312),f836(f94(a1),x65311)),f2(a1))+P1(f836(f836(f277(a1),f836(f94(a1),x65311)),f836(f94(a1),x65312)))
% 190.77/190.67 [6552]P1(f836(f836(f224(a1),f2(a1)),f41(a1,x65521,x65522)))+~P1(f836(f836(f225(a1),f2(a1)),x65522))
% 190.77/190.67 [6718]P36(x67181,x67182)+~E(f836(f836(f279(x67181,x67181,x67181),x67182),x67182),f178(f906(f905(x67181,x67181),a895)))
% 190.77/190.67 [6734]~P36(x67341,x67342)+P36(x67341,f836(f836(f279(x67341,x67341,x67341),x67342),x67342))
% 190.77/190.67 [6745]P1(f836(f836(f224(a1),x67451),x67452))+~P1(f836(f836(f225(a1),x67451),f836(f836(f74(a1),x67452),f72(a1))))
% 190.77/190.67 [6746]P1(f836(f836(f225(a1),x67461),x67462))+~P1(f836(f836(f224(a1),x67461),f836(f836(f23(a1),x67462),f72(a1))))
% 190.77/190.67 [6749]P1(f836(f836(f224(a899),x67491),x67492))+~P1(f836(f836(f224(a1),f836(f90(a1),x67491)),f836(f90(a1),x67492)))
% 190.77/190.67 [6750]P1(f836(f836(f224(a1),x67501),x67502))+~P1(f836(f836(f224(a1),f836(f94(a1),x67501)),f836(f94(a1),x67502)))
% 190.77/190.67 [6752]P1(f836(f836(f225(a899),x67521),x67522))+~P1(f836(f836(f225(a1),f836(f90(a1),x67521)),f836(f90(a1),x67522)))
% 190.77/190.67 [6753]P1(f836(f836(f225(a1),x67531),x67532))+~P1(f836(f836(f225(a899),f836(f94(a899),x67531)),f836(f94(a899),x67532)))
% 190.77/190.67 [6754]P1(f836(f836(f225(a1),x67541),x67542))+~P1(f836(f836(f225(a1),f836(f94(a1),x67541)),f836(f94(a1),x67542)))
% 190.77/190.67 [6813]E(f41(a1,f836(f94(a1),x68131),f836(f94(a1),x68132)),f2(a1))+~P1(f836(f836(f277(a1),f836(f94(a1),x68132)),f836(f94(a1),x68131)))
% 190.77/190.67 [6828]~E(f280(a899,f277(a899),x68281,x68282),f178(f906(a899,a895)))+~P1(f836(f836(f277(a899),x68281),x68282))
% 190.77/190.67 [6855]~E(f673(x68552,x68551),f103(x68551))+E(f836(f132(f900(x68551),f900(x68551),f124(x68551),f103(x68551)),x68552),f103(x68551))
% 190.77/190.67 [6856]~E(f679(x68562,x68561),f103(x68561))+E(f836(f132(f900(x68561),f900(x68561),f124(x68561),f103(x68561)),x68562),f103(x68561))
% 190.77/190.67 [6860]~P5(x68601)+E(f836(f132(x68601,x68601,f92(x68601),f232(x68601)),x68602),f33(x68601,f836(f162(x68601),x68602)))
% 190.77/190.67 [6861]~P5(x68611)+E(f836(f132(x68611,x68611,f91(x68611),f178(x68611)),x68612),f32(x68611,f836(f162(x68611),x68612)))
% 190.77/190.67 [6875]E(x68751,f2(a89))+E(f836(f836(f74(a899),f836(a20,f836(f836(f23(a89),x68751),f72(a89)))),f836(a102,x68752)),f836(f836(f74(a899),f836(a20,x68751)),x68752))
% 190.77/190.67 [6924]P1(f836(f836(f225(a1),f836(f836(f23(a1),x69241),x69242)),f2(a1)))+~P1(f836(f836(f225(a1),x69241),x69242))
% 190.77/190.67 [6949]~P108(x69491)+E(f836(f836(f91(f906(x69491,a895)),f836(f836(f299(x69491),x69492),f178(f906(x69491,a895)))),f836(f294(x69491),x69492)),f836(f273(x69491),x69492))
% 190.77/190.67 [7028]~P59(x70281,x70282)+P36(x70281,f836(f252(f905(x70281,x70281)),f836(f247(x70281,x70281,a895),x70282)))
% 190.77/190.67 [7029]~P59(x70291,x70292)+P57(x70291,f836(f252(f905(x70291,x70291)),f836(f247(x70291,x70291,a895),x70292)))
% 190.77/190.67 [7030]~P49(x70301,x70302)+P37(x70301,f836(f252(f905(x70301,x70301)),f836(f247(x70301,x70301,a895),x70302)))
% 190.77/190.67 [7031]~P50(x70311,x70312)+P51(x70311,f836(f252(f905(x70311,x70311)),f836(f247(x70311,x70311,a895),x70312)))
% 190.77/190.67 [7032]E(x70321,f178(f906(x70322,a895)))+~P1(f836(f836(f224(f906(x70322,a895)),x70321),f178(f906(x70322,a895))))
% 190.77/190.67 [7116]~P1(f836(f836(f225(a899),f2(a899)),x71162))+P1(f836(f836(f224(a899),f41(a899,x71161,x71162)),x71162))
% 190.77/190.67 [7117]~P1(f836(f836(f224(a1),f2(a1)),x71171))+P1(f836(f836(f224(a1),f41(a1,x71171,x71172)),x71171))
% 190.77/190.67 [7118]~P1(f836(f836(f225(a899),f2(a899)),x71182))+P1(f836(f836(f225(a899),f41(a899,x71181,x71182)),x71182))
% 190.77/190.67 [7120]~P1(f836(f836(f225(a1),f2(a1)),x71202))+P1(f836(f836(f225(a1),f41(a1,x71201,x71202)),x71202))
% 190.77/190.67 [7196]~P109(x71961)+E(f836(f836(f23(f906(x71961,a895)),f836(f836(f299(x71961),x71962),f178(f906(x71961,a895)))),f836(f272(x71961),x71962)),f836(f836(f299(x71961),x71962),f178(f906(x71961,a895))))
% 190.77/190.67 [7271]~P42(x72711,x72712)+P52(x72711,f232(f906(x72711,a895)),f836(f252(f905(x72711,x72711)),f836(f247(x72711,x72711,a895),x72712)))
% 190.77/190.67 [7272]P1(f836(x72721,x72722))+P1(f836(f836(f318(f906(f905(a899,a899),a895)),f514(x72722,x72721)),a88))
% 190.77/190.67 [7315]E(f836(f836(f124(a899),f129(a899,f836(f292(a899,x73151),x73152))),f836(f836(f141(a899),x73152),f103(a899))),f129(a899,f836(f292(a899,x73151),f836(a102,x73152))))+~P1(f836(f836(f224(a899),x73151),x73152))
% 190.77/190.67 [7467]E(x74671,f2(a899))+~E(f836(f132(a899,a899,f74(a899),x74671),x74672),f2(a899))
% 190.77/190.67 [7492]~P1(f836(f836(f225(a1),f836(f836(f23(a1),x74921),x74922)),f2(a1)))+P1(f836(f836(f225(a1),x74921),x74922))
% 190.77/190.67 [7521]P36(x75211,x75212)+~P36(x75211,f836(f836(f279(x75211,x75211,x75211),x75212),x75212))
% 190.77/190.67 [7546]~P1(f836(f836(f224(a899),f836(a102,x75461)),x75462))+P1(f175(a895,a229,f836(f224(a899),x75461),x75462))
% 190.77/190.67 [7701]P24(a899,a899,f836(f836(f7(a899,a899,a899),f23(a899)),x77011),x77012)+P1(f836(f836(f318(a899),f518(x77011,x77012)),x77012))
% 190.77/190.67 [7759]E(f836(f836(f836(f60(a899,x77591,f74(a899)),f836(f16(a899,x77591),f72(a899))),f2(a899)),x77592),f836(f30(x77591),x77592))+~P1(f836(f29(x77591),x77592))
% 190.77/190.67 [7801]P24(a899,a899,f836(f836(f7(a899,a899,a899),f23(a899)),x78011),x78012)+~P1(f836(f836(f224(a899),x78011),f518(x78011,x78012)))
% 190.77/190.67 [7857]P36(x78571,x78572)+P1(f836(f836(f224(f906(x78571,a895)),f512(x78572,x78571)),f836(f275(x78571,x78571,x78572),f512(x78572,x78571))))
% 190.77/190.67 [7862]P59(x78621,x78622)+~P36(x78621,f836(f252(f905(x78621,x78621)),f836(f247(x78621,x78621,a895),x78622)))
% 190.77/190.67 [7863]P49(x78631,x78632)+~P37(x78631,f836(f252(f905(x78631,x78631)),f836(f247(x78631,x78631,a895),x78632)))
% 190.77/190.67 [7864]P50(x78641,x78642)+~P51(x78641,f836(f252(f905(x78641,x78641)),f836(f247(x78641,x78641,a895),x78642)))
% 190.77/190.67 [7932]P1(f836(f836(f224(a899),f836(a102,x79321)),x79322))+~P1(f175(a895,a229,f836(f224(a899),x79321),x79322))
% 190.77/190.67 [7989]P1(f836(f836(f318(f905(a899,a899)),f836(f836(f242(a899,a899),x79891),x79892)),f297(a899,a307)))+~P1(f836(f836(f224(a899),x79891),x79892))
% 190.77/190.67 [8085]P42(x80851,x80852)+~P52(x80851,f232(f906(x80851,a895)),f836(f252(f905(x80851,x80851)),f836(f247(x80851,x80851,a895),x80852)))
% 190.77/190.67 [8140]~P1(f836(f127(x81401),x81402))+P1(f836(f127(f906(x81401,a895)),f836(f836(f144(f900(x81401),f906(x81401,a895)),f162(x81401)),f50(x81401,x81402))))
% 190.77/190.67 [8341]~P36(x83411,f836(f276(x83411,x83411),x83412))+P36(x83411,f836(f276(x83411,x83411),f836(f836(f279(x83411,x83411,x83411),x83412),f297(x83411,x83412))))
% 190.77/190.67 [8353]P150(x83531,f836(f836(f299(a894),f836(a908,x83532)),f178(f906(a894,a895))))+~P150(f836(f836(f299(a894),f836(a908,x83532)),x83531),f836(f836(f299(a894),f909(f222(a896,f34(x83532)))),f178(f906(a894,a895))))
% 190.77/190.67 [8440]P25(x84401,a899,f800(x84402,x84401),x84402,f836(f292(a899,f2(a899)),f836(f30(x84401),x84402)))+~P1(f836(f29(x84401),x84402))
% 190.77/190.67 [8441]P25(a899,x84411,f801(x84412,x84411),f836(f292(a899,f2(a899)),f836(f30(x84411),x84412)),x84412)+~P1(f836(f29(x84411),x84412))
% 190.77/190.67 [8458]P25(a899,x84581,f802(x84582,x84581),f293(a899,f72(a899),f836(f30(x84581),x84582)),x84582)+~P1(f836(f29(x84581),x84582))
% 190.77/190.67 [8468]P1(f836(f29(f905(x84681,x84681)),f836(f836(f279(x84681,x84681,x84681),x84682),f297(x84681,x84682))))+~P1(f836(f29(f905(x84681,x84681)),x84682))
% 190.77/190.67 [8495]E(x84951,f2(a1))+P1(f836(f45(x84952,x84951),f836(f836(f242(a1,a1),f836(f836(f31(a1),x84952),x84951)),f41(a1,x84952,x84951))))
% 190.77/190.67 [8508]~P1(f836(f836(f318(f905(a899,a899)),f836(f836(f242(a899,a899),x85081),x85082)),f297(a899,a307)))+P1(f836(f836(f224(a899),x85081),x85082))
% 190.77/190.67 [8525]~P79(x85251)+E(f836(f132(x85251,x85251,f836(f7(x85251,x85251,x85251),f74(x85251)),f2(x85251)),f836(f158(x85251),x85252)),f836(f132(x85251,x85251,f74(x85251),f2(x85251)),x85252))
% 190.77/190.67 [8696]~P108(x86961)+E(f836(f132(f900(x86961),x86961,f836(f7(x86961,f900(x86961),f900(x86961)),f138(x86961,x86961,f5(x86961))),f103(x86961)),x86962),f140(x86961,x86961,f5(x86961),x86962))
% 190.77/190.67 [8807]~P57(x88071,f836(f252(f905(x88071,x88071)),f836(f247(x88071,x88071,a895),x88072)))+P57(x88071,f836(f252(f905(x88071,x88071)),f836(f247(x88071,x88071,a895),f233(x88071,x88071,x88072))))
% 190.77/190.67 [8821]P1(f836(f836(f318(f905(a899,a899)),f836(f836(f242(a899,a899),x88211),x88212)),f836(f836(f279(a899,a899,a899),a307),f297(a899,a307))))+~P1(f836(f836(f225(a899),x88211),x88212))
% 190.77/190.67 [8867]~P1(f836(f29(f905(x88671,x88671)),f836(f836(f279(x88671,x88671,x88671),x88672),f297(x88671,x88672))))+P1(f836(f29(f905(x88671,x88671)),x88672))
% 190.77/190.67 [8925]~P57(x89251,f836(f252(f905(x89251,x89251)),f836(f247(x89251,x89251,a895),f233(x89251,x89251,x89252))))+P57(x89251,f836(f252(f905(x89251,x89251)),f836(f247(x89251,x89251,a895),x89252)))
% 190.77/190.67 [9123]P57(x91231,x91232)+P1(f836(f836(f318(f905(x91231,x91231)),f836(f836(f242(x91231,x91231),f551(x91232,x91231)),f551(x91232,x91231))),f836(f836(f279(x91231,x91231,x91231),x91232),f297(x91231,x91232))))
% 190.77/190.67 [9124]P57(x91241,x91242)+P1(f836(f836(f318(f905(x91241,x91241)),f836(f836(f242(x91241,x91241),f556(x91242,x91241)),f556(x91242,x91241))),f836(f836(f279(x91241,x91241,x91241),x91242),f297(x91241,x91242))))
% 190.77/190.67 [9241]~P1(f836(f836(f318(f905(a899,a899)),f836(f836(f242(a899,a899),x92411),x92412)),f836(f836(f279(a899,a899,a899),a307),f297(a899,a307))))+P1(f836(f836(f225(a899),x92411),x92412))
% 190.77/190.67 [5145]~P94(x51451)+E(f836(f836(f74(x51451),f836(f94(x51451),a77)),x51452),x51452)
% 190.77/190.67 [5175]~P66(x51751)+E(f836(f836(f74(x51751),f836(f73(x51751),x51752)),x51752),f2(x51751))
% 190.77/190.67 [5176]~P67(x51761)+E(f836(f836(f74(x51761),f836(f73(x51761),x51762)),x51762),f2(x51761))
% 190.77/190.67 [5177]~P96(x51771)+E(f836(f836(f91(x51771),f836(f73(x51771),x51772)),x51772),f232(x51771))
% 190.77/190.67 [5178]~P96(x51781)+E(f836(f836(f92(x51781),f836(f73(x51781),x51782)),x51782),f178(x51781))
% 190.77/190.67 [5211]~P94(x52111)+E(f836(f836(f75(x52111),f836(f94(x52111),a87)),x52112),f836(f73(x52111),x52112))
% 190.77/190.67 [5368]~P114(x53681)+E(f836(f836(f75(x53681),f836(f73(x53681),f72(x53681))),x53682),f836(f73(x53681),x53682))
% 190.77/190.67 [5414]E(f836(f70(a1),x54141),f72(a1))+~E(f836(f70(a1),f836(f836(f75(a1),x54141),x54142)),f72(a1))
% 190.77/190.67 [5506]~P94(x55061)+E(f836(f836(f74(x55061),f72(x55061)),f836(f94(x55061),x55062)),f836(f94(x55061),f836(f836(f23(a1),x55062),a87)))
% 190.77/190.67 [5559]~P108(x55591)+E(f14(x55591,f836(f836(f299(x55591),x55592),f178(f906(x55591,a895)))),x55592)
% 190.77/190.67 [5560]~P108(x55601)+E(f15(x55601,f836(f836(f299(x55601),x55602),f178(f906(x55601,a895)))),x55602)
% 190.77/190.67 [5561]~P99(x55611)+E(f13(x55611,f836(f836(f299(x55611),x55612),f178(f906(x55611,a895)))),x55612)
% 190.77/190.67 [5562]~P99(x55621)+E(f10(x55621,f836(f836(f299(x55621),x55622),f178(f906(x55621,a895)))),x55622)
% 190.77/190.67 [5563]~P5(x55631)+E(f33(x55631,f836(f836(f299(x55631),x55632),f178(f906(x55631,a895)))),x55632)
% 190.77/190.67 [5564]~P5(x55641)+E(f32(x55641,f836(f836(f299(x55641),x55642),f178(f906(x55641,a895)))),x55642)
% 190.77/190.67 [5586]E(f836(f836(f74(a899),x55861),f836(f836(f23(a899),x55862),x55861)),x55862)+P1(f836(f836(f225(a899),x55862),x55861))
% 190.77/190.67 [5624]E(x56241,f103(x56242))+P1(f836(f836(f225(a899),f2(a899)),f836(f179(f900(x56242)),x56241)))
% 190.77/190.67 [5750]~P108(x57501)+E(f11(x57501,f228(x57501),f836(f836(f299(x57501),x57502),f178(f906(x57501,a895)))),x57502)
% 190.77/190.67 [5751]~P108(x57511)+E(f12(x57511,f223(x57511),f836(f836(f299(x57511),x57512),f178(f906(x57511,a895)))),x57512)
% 190.77/190.67 [5812]E(f836(f836(f23(a899),x58121),f836(f836(f23(a899),x58121),x58122)),x58122)+~P1(f836(f836(f224(a899),x58122),x58121))
% 190.77/190.67 [5813]E(f836(f836(f74(a899),x58131),f836(f836(f23(a899),x58132),x58131)),x58132)+~P1(f836(f836(f224(a899),x58131),x58132))
% 190.77/190.67 [5835]E(f41(a899,f836(f836(f23(a899),x58351),x58352),x58352),f41(a899,x58351,x58352))+P1(f836(f836(f225(a899),x58351),x58352))
% 190.77/190.67 [5846]E(f836(f73(a1),f836(f836(f31(a1),x58461),f836(f73(a1),x58462))),f283(x58461,x58462))+P1(f836(f836(f224(a1),f2(a1)),x58462))
% 190.77/190.67 [5848]~E(x58482,f2(a899))+P1(f836(f836(f225(a899),f2(a899)),f836(f836(f234(a899),x58481),x58482)))
% 190.77/190.67 [5911]~P94(x59111)+E(f836(f836(f74(x59111),f836(f73(x59111),f72(x59111))),f836(f94(x59111),x59112)),f836(f94(x59111),f836(f836(f74(a1),x59112),a87)))
% 190.77/190.67 [5913]E(f836(f836(f234(a899),f836(f94(a899),x59131)),x59132),f836(f836(f234(a899),f2(a899)),x59132))+~P1(f836(a183,f836(f94(a1),x59131)))
% 190.77/190.67 [6021]E(f836(f131(a899),f129(a899,f836(f292(a899,x60211),x60212))),x60211)+~P1(f836(f836(f225(a899),x60211),x60212))
% 190.77/190.67 [6037]E(f836(f836(f75(a899),f836(f94(a899),x60371)),f836(f94(a899),x60372)),f836(f94(a899),f836(f836(f75(a1),x60371),x60372)))+P1(f836(f836(f225(a1),x60371),a77))
% 190.77/190.67 [6043]~P125(x60431)+P1(f836(f836(f224(x60431),f2(x60431)),f836(f836(f75(x60431),x60432),x60432)))
% 190.77/190.67 [6055]E(f836(f836(f23(a899),f836(a102,x60551)),x60552),f836(a102,f836(f836(f23(a899),x60551),x60552)))+~P1(f836(f836(f224(a899),x60552),x60551))
% 190.77/190.67 [6059]E(f41(a899,f836(f836(f23(a899),x60591),x60592),x60592),f41(a899,x60591,x60592))+~P1(f836(f836(f224(a899),x60592),x60591))
% 190.77/190.67 [6113]E(f836(f836(f234(a899),f836(a95,x61131)),x61132),f836(a95,f836(f836(f234(a1),x61131),x61132)))+~P1(f836(f836(f224(a1),f2(a1)),x61131))
% 190.77/190.67 [6131]P1(f836(f127(x61311),x61312))+P1(f836(f836(f225(a899),f643(x61312,x61311)),f836(f179(f900(x61311)),x61312)))
% 190.77/190.67 [6132]P1(f836(f127(x61321),x61322))+P1(f836(f836(f225(a899),f647(x61322,x61321)),f836(f179(f900(x61321)),x61322)))
% 190.77/190.67 [6146]~E(x61461,f103(x61462))+~P1(f836(f836(f225(a899),f2(a899)),f836(f179(f900(x61462)),x61461)))
% 190.77/190.67 [6157]E(f134(a899,f129(a899,f836(f292(a899,x61571),x61572))),f836(f836(f23(a899),x61572),f72(a899)))+~P1(f836(f836(f225(a899),x61571),x61572))
% 190.77/190.67 [6160]E(f836(f836(f74(a1),x61601),f836(f90(a1),f836(a102,f620(x61602,x61601)))),x61602)+~P1(f836(f836(f225(a1),x61601),x61602))
% 190.77/190.67 [6167]E(x61671,f2(a899))+E(f836(f836(f75(a899),x61672),f836(f836(f234(a899),x61672),f836(f836(f23(a899),x61671),f72(a899)))),f836(f836(f234(a899),x61672),x61671))
% 190.77/190.67 [6195]E(f836(f836(f75(a899),f836(a95,x61951)),f836(a95,x61952)),f836(a95,f836(f836(f75(a1),x61951),x61952)))+~P1(f836(f836(f224(a1),f2(a1)),x61951))
% 190.77/190.67 [6196]E(f836(f836(f31(a899),f836(a95,x61961)),f836(a95,x61962)),f836(a95,f836(f836(f31(a1),x61961),x61962)))+~P1(f836(f836(f224(a1),f2(a1)),x61961))
% 190.77/190.67 [6211]~P112(x62111)+E(f836(f836(f74(x62111),x62112),x62112),f836(f836(f75(x62111),f836(f836(f74(x62111),f72(x62111)),f72(x62111))),x62112))
% 190.77/190.67 [6234]E(f836(f836(f23(a1),f836(f90(a1),x62341)),f836(f90(a1),x62342)),f836(f90(a1),f836(f836(f23(a899),x62341),x62342)))+~P1(f836(f836(f224(a899),x62342),x62341))
% 190.77/190.67 [6236]E(f836(f836(f242(a1,a1),f836(f94(a1),a87)),f836(f836(f74(a1),x62361),x62362)),f46(x62361,x62362))+~P1(f836(f836(f224(a1),x62362),f2(a1)))
% 190.77/190.67 [6270]E(f169(x62701,x62702),f103(f900(x62701)))+P1(f836(f836(f318(f900(x62701)),f642(x62702,x62701)),f836(f162(f900(x62701)),x62702)))
% 190.77/190.67 [6280]E(f106(a1,f836(f119(a1),x62801),f118(x62802,f836(f836(f74(a1),x62801),f72(a1)))),f118(x62802,x62801))+P1(f836(f836(f225(a1),x62802),x62801))
% 190.77/190.67 [6335]~P1(f836(f836(f277(a899),x63351),x63352))+P1(f836(f836(f277(a899),x63351),f836(f836(f74(a899),x63352),x63351)))
% 190.77/190.67 [6357]E(f836(f836(f141(a1),x63571),f168(f836(f836(f74(a1),x63571),f72(a1)),x63572)),f168(x63571,x63572))+~P1(f836(f836(f224(a1),x63571),x63572))
% 190.77/190.67 [6379]P150(x63791,x63792)+~P1(f836(f836(f224(f906(a894,a895)),x63792),x63791))
% 190.77/190.67 [6400]~P1(f836(f836(f225(a899),x64002),x64001))+P1(f836(f836(f225(a899),f2(a899)),f836(f836(f23(a899),x64001),x64002)))
% 190.77/190.67 [6433]~P1(f836(f836(f225(a899),x64331),f836(a95,x64332)))+P1(f836(f836(f225(a1),f836(f90(a1),x64331)),x64332))
% 190.77/190.67 [6462]~P108(x64621)+E(f836(f836(f91(f906(x64621,a895)),f836(f272(x64621),x64622)),f836(f836(f299(x64621),x64622),f178(f906(x64621,a895)))),f836(f291(x64621),x64622))
% 190.77/190.67 [6463]~P1(f836(f836(f224(a1),f2(a1)),x64631))+P1(f836(f836(f224(a1),f2(a1)),f836(f836(f234(a1),x64631),x64632)))
% 190.77/190.67 [6466]~P1(f836(f836(f225(a899),f2(a899)),x64661))+P1(f836(f836(f225(a899),f2(a899)),f836(f836(f234(a899),x64661),x64662)))
% 190.77/190.67 [6493]~E(f836(x64931,f2(a899)),f2(a899))+E(f836(f836(f6(a899,a899),x64931),f293(a899,f836(a102,f2(a899)),x64932)),f836(f836(f6(a899,a899),x64931),f293(a899,f2(a899),x64932)))
% 190.77/190.67 [6560]~P94(x65601)+E(f836(f836(f75(x65601),f836(f836(f74(x65601),f72(x65601)),f72(x65601))),f836(f94(x65601),x65602)),f836(f94(x65601),f836(f836(f74(a1),x65602),x65602)))
% 190.77/190.67 [6580]E(f836(f836(f299(a1),x65801),f293(a1,f836(f836(f74(a1),x65801),f72(a1)),x65802)),f293(a1,x65801,x65802))+P1(f836(f836(f225(a1),x65802),x65801))
% 190.77/190.67 [6581]P1(f836(f836(f225(a899),x65811),f836(a95,x65812)))+~P1(f836(f836(f225(a1),f836(f90(a1),x65811)),x65812))
% 190.77/190.67 [6681]P1(f836(f836(f277(a899),x66811),x66812))+~P1(f836(f836(f277(a899),x66811),f836(f836(f74(a899),x66812),x66811)))
% 190.77/190.67 [6687]E(f836(a95,f836(f836(f31(a1),f836(f94(a1),x66871)),f836(f94(a1),x66872))),f836(f836(f31(a899),f836(f94(a899),x66871)),f836(f94(a899),x66872)))+P1(f836(a183,f836(f94(a1),x66871)))
% 190.77/190.67 [6747]P1(f836(f836(f225(a899),x67471),x67472))+~P1(f836(f836(f225(a899),f2(a899)),f836(f836(f23(a899),x67472),x67471)))
% 190.77/190.67 [6790]P1(f836(f836(f225(a899),f2(a899)),x67901))+~P1(f836(f836(f225(a899),f2(a899)),f836(f836(f75(a899),x67902),x67901)))
% 190.77/190.67 [6791]P1(f836(f836(f225(a899),f2(a899)),x67911))+~P1(f836(f836(f225(a899),f2(a899)),f836(f836(f75(a899),x67911),x67912)))
% 190.77/190.67 [6810]~P1(f836(f836(f224(a1),x68101),f2(a1)))+E(f836(f836(f75(a899),f836(a95,f836(f73(a1),x68101))),f836(a95,f836(f73(a1),x68102))),f836(a95,f836(f836(f75(a1),x68101),x68102)))
% 190.77/190.67 [6872]~E(x68722,f178(f906(x68721,a895)))+P1(f836(f836(f224(f906(x68721,a895)),x68722),f836(f73(f906(x68721,a895)),x68722)))
% 190.77/190.67 [6934]~P94(x69341)+E(f836(f836(f74(x69341),f836(f836(f74(x69341),f2(x69341)),f836(f94(x69341),x69342))),f836(f94(x69341),x69342)),f836(f94(x69341),f836(f836(f74(a1),x69342),x69342)))
% 190.77/190.67 [6990]~P1(f836(f836(f225(a1),x69901),x69902))+P1(f836(f836(f224(a1),f836(f836(f74(a1),x69901),f72(a1))),x69902))
% 190.77/190.67 [7061]E(x70611,f2(a899))+~P1(f836(f836(f224(a1),f836(f90(a1),x70612)),f836(f73(a1),f836(f90(a1),x70611))))
% 190.77/190.67 [7062]E(x70621,f2(a899))+~P1(f836(f836(f224(a1),f836(f90(a1),x70621)),f836(f73(a1),f836(f90(a1),x70622))))
% 190.77/190.67 [7164]E(f836(f836(f242(a1,a1),f836(f94(a1),a87)),f836(f836(f74(a1),x71641),x71642)),f46(x71641,x71642))+~P1(f836(f836(f224(a1),f2(a1)),f836(f836(f74(a1),x71641),x71642)))
% 190.77/190.67 [7208]~P26(x72081,x72082)+P36(x72081,f836(f241(f906(f905(x72081,x72081),a895),f906(f905(x72081,x72081),a895)),x72082))
% 190.77/190.67 [7227]~P1(f836(f836(f224(a899),f836(a102,f2(a899))),x72271))+P1(f836(f836(f224(a899),f836(a102,f2(a899))),f836(f836(f234(a899),x72271),x72272)))
% 190.77/190.67 [7405]~P1(f836(f836(f224(a1),x74051),x74052))+P1(f836(f836(f224(a1),f836(f836(f74(a1),x74051),x74051)),f836(f836(f74(a1),x74052),x74052)))
% 190.77/190.67 [7410]~P1(f836(f836(f225(a1),x74101),x74102))+P1(f836(f836(f225(a1),f836(f836(f74(a1),x74101),x74101)),f836(f836(f74(a1),x74102),x74102)))
% 190.77/190.67 [7468]~P1(f836(f836(f225(a899),f2(a899)),x74681))+P1(f836(f836(f225(a899),f836(f836(f23(a899),x74681),f836(a102,x74682))),x74681))
% 190.77/190.67 [7503]P1(f836(f836(f224(a899),f836(a102,f2(a899))),x75031))+~P1(f836(f836(f224(a899),f836(a102,f2(a899))),f836(f836(f75(a899),x75032),x75031)))
% 190.77/190.67 [7504]P1(f836(f836(f224(a899),f836(a102,f2(a899))),x75041))+~P1(f836(f836(f224(a899),f836(a102,f2(a899))),f836(f836(f75(a899),x75041),x75042)))
% 190.77/190.67 [7508]P1(f836(f836(f224(a899),f836(f836(f154(a899),x75081),x75082)),f836(f155(a899),x75081)))+~P1(f836(f836(f225(a899),x75082),f836(f179(f900(a899)),x75081)))
% 190.77/190.67 [7545]P1(f836(f836(f225(a1),x75451),x75452))+~P1(f836(f836(f224(a1),f836(f836(f74(a1),x75451),f72(a1))),x75452))
% 190.77/190.67 [7586]P1(f836(f29(x75861),f232(f906(x75861,a895))))+~P1(f836(f29(f906(x75862,x75861)),f232(f906(f906(x75862,x75861),a895))))
% 190.77/190.67 [7587]P1(f836(f29(x75871),f232(f906(x75871,a895))))+~P1(f836(f29(f904(x75872,x75871)),f232(f906(f904(x75872,x75871),a895))))
% 190.77/190.67 [7588]P1(f836(f29(x75881),f232(f906(x75881,a895))))+~P1(f836(f29(f904(x75881,x75882)),f232(f906(f904(x75881,x75882),a895))))
% 190.77/190.67 [7628]E(x76281,f178(f906(x76282,a895)))+~P1(f836(f836(f224(f906(x76282,a895)),x76281),f836(f73(f906(x76282,a895)),x76281)))
% 190.77/190.67 [7769]E(f836(f132(f900(x77691),f900(x77691),f124(x77691),f103(x77691)),x77692),f103(x77691))+P1(f836(f836(f318(f900(x77691)),f673(x77692,x77691)),f836(f162(f900(x77691)),x77692)))
% 190.77/190.67 [7770]E(f836(f132(f900(x77701),f900(x77701),f124(x77701),f103(x77701)),x77702),f103(x77701))+P1(f836(f836(f318(f900(x77701)),f679(x77702,x77701)),f836(f162(f900(x77701)),x77702)))
% 190.77/190.67 [8007]P1(f836(f836(f224(a1),x80071),x80072))+~P1(f836(f836(f224(a1),f836(f836(f74(a1),x80071),x80071)),f836(f836(f74(a1),x80072),x80072)))
% 190.77/190.67 [8012]P1(f836(f836(f225(a1),x80121),x80122))+~P1(f836(f836(f225(a1),f836(f836(f74(a1),x80121),x80121)),f836(f836(f74(a1),x80122),x80122)))
% 190.77/190.67 [8105]~P112(x81051)+E(f836(f836(f75(x81051),f836(f836(f74(x81051),f72(x81051)),f72(x81051))),f836(f836(f6(a899,x81051),f90(x81051)),f293(a899,f72(a899),x81052))),f836(f836(f75(x81051),f836(f90(x81051),x81052)),f836(f836(f74(x81051),f836(f90(x81051),x81052)),f72(x81051))))
% 190.77/190.67 [8154]P1(f836(f836(f318(a899),x81541),x81542))+~P1(f836(f836(f318(a1),f836(f90(a1),x81541)),f836(f300(a899,a1,f90(a1)),x81542)))
% 190.77/190.67 [8313]~P1(f836(f29(x83131),x83132))+E(f836(f300(a899,x83131,f490(x83132,x83131)),f836(f252(a899),f836(f836(f7(a899,a899,a895),f225(a899)),f491(x83132,x83131)))),x83132)
% 190.77/190.67 [8593]P53(x85931,x85932)+P1(f836(f836(f318(f905(x85931,x85931)),f836(f836(f242(x85931,x85931),f327(x85932,x85931)),f327(x85932,x85931))),x85932))
% 190.77/190.67 [8594]P37(x85941,x85942)+P1(f836(f836(f318(f905(x85941,x85941)),f836(f836(f242(x85941,x85941),f767(x85942,x85941)),f769(x85942,x85941))),x85942))
% 190.77/190.67 [8595]P37(x85951,x85952)+P1(f836(f836(f318(f905(x85951,x85951)),f836(f836(f242(x85951,x85951),f769(x85952,x85951)),f770(x85952,x85951))),x85952))
% 190.77/190.67 [8596]P38(x85961,x85962)+P1(f836(f836(f318(f905(x85961,x85961)),f836(f836(f242(x85961,x85961),f683(x85962,x85961)),f682(x85962,x85961))),x85962))
% 190.77/190.67 [8597]P38(x85971,x85972)+P1(f836(f836(f318(f905(x85971,x85971)),f836(f836(f242(x85971,x85971),f682(x85972,x85971)),f683(x85972,x85971))),x85972))
% 190.77/190.67 [8598]P51(x85981,x85982)+P1(f836(f836(f318(f905(x85981,x85981)),f836(f836(f242(x85981,x85981),f780(x85982,x85981)),f781(x85982,x85981))),x85982))
% 190.77/190.67 [8739]~P94(x87391)+E(f836(f836(f23(x87391),f72(x87391)),f836(f94(x87391),x87392)),f836(f94(x87391),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f73(a1),x87392))))
% 190.77/190.67 [8864]~P1(f836(f836(f225(f906(a899,a895)),x88641),x88642))+P1(f836(f836(f225(f906(a1,a895)),f836(f300(a899,a1,f90(a1)),x88641)),f836(f300(a899,a1,f90(a1)),x88642)))
% 190.77/190.67 [8898]~P1(f836(f836(f225(a1),x88981),x88982))+P1(f836(f836(f224(a1),f836(f836(f23(a1),f836(f836(f74(a1),x88981),x88981)),a87)),f836(f836(f74(a1),x88982),x88982)))
% 190.77/190.67 [8900]~P1(f836(f836(f225(a1),x89001),x89002))+P1(f836(f836(f225(a1),f836(f836(f23(a1),f836(f836(f74(a1),x89001),x89001)),a87)),f836(f836(f74(a1),x89002),x89002)))
% 190.77/190.67 [8973]~P1(f836(f836(f318(a899),x89731),f836(f162(a899),x89732)))+P1(f836(f836(f224(a899),x89731),f836(f132(a899,a899,f74(a899),f2(a899)),x89732)))
% 190.77/190.67 [9062]P45(x90621,x90622)+~P1(f836(f836(f318(f905(x90621,x90621)),f836(f836(f242(x90621,x90621),f875(x90622,x90621)),f875(x90622,x90621))),x90622))
% 190.77/190.67 [9063]P37(x90631,x90632)+~P1(f836(f836(f318(f905(x90631,x90631)),f836(f836(f242(x90631,x90631),f767(x90632,x90631)),f770(x90632,x90631))),x90632))
% 190.77/190.67 [9064]P51(x90641,x90642)+~P1(f836(f836(f318(f905(x90641,x90641)),f836(f836(f242(x90641,x90641),f781(x90642,x90641)),f780(x90642,x90641))),x90642))
% 190.77/190.67 [9204]~P1(f836(f836(f224(f906(a1,a895)),f836(f300(a899,a1,f90(a1)),x92041)),f836(f300(a899,a1,f90(a1)),x92042)))+P1(f836(f836(f224(f906(a899,a895)),x92041),x92042))
% 190.77/190.67 [9205]~P1(f836(f836(f225(f906(a1,a895)),f836(f300(a899,a1,f90(a1)),x92051)),f836(f300(a899,a1,f90(a1)),x92052)))+P1(f836(f836(f225(f906(a899,a895)),x92051),x92052))
% 190.77/190.67 [9290]P1(f836(f836(f225(a1),x92901),x92902))+~P1(f836(f836(f224(a1),f836(f836(f23(a1),f836(f836(f74(a1),x92901),x92901)),a87)),f836(f836(f74(a1),x92902),x92902)))
% 190.77/190.67 [9292]P1(f836(f836(f225(a1),x92921),x92922))+~P1(f836(f836(f225(a1),f836(f836(f23(a1),f836(f836(f74(a1),x92921),x92921)),a87)),f836(f836(f74(a1),x92922),x92922)))
% 190.77/190.67 [10189]~P105(x101891)+E(f106(f900(x101891),f836(f119(f900(x101891)),f103(x101891)),f836(f836(f836(f86(f901(f900(x101891))),f836(f836(f225(a1),f2(a1)),x101892)),f836(f108(f905(x101891,f900(x101891)),f900(x101891),f121(x101891,f900(x101891),f122(x101891,f836(f836(f23(a1),x101892),f72(a1))),f122(f900(x101891),f836(f836(f23(a1),x101892),f72(a1))))),f836(f247(x101891,f900(x101891),f901(f900(x101891))),f836(f836(f8(f906(f900(x101891),f900(x101891)),f906(f900(x101891),f901(f900(x101891))),x101891),f836(f8(f900(x101891),f901(f900(x101891)),f900(x101891)),f119(f900(x101891)))),f141(x101891))))),f105(f900(x101891)))),f122(f900(x101891),x101892))
% 190.77/190.67 [10211]~P1(f836(f29(x102111),x102112))+E(f836(f179(f900(x102111)),f84(f900(x102111),f836(f836(f18(f900(x102111),a895,a895),f836(f836(f8(a895,f906(a895,a895),f900(x102111)),a315),f836(f836(f7(f900(x102111),f906(x102111,a895),a895),f836(f836(f8(f906(x102111,a895),f906(f906(x102111,a895),a895),f900(x102111)),a314),f162(x102111))),x102112))),f127(x102111)))),f204(x102111,x102112))
% 190.77/190.67 [6156]E(f836(f836(f74(a899),f836(f836(f23(a899),x61561),x61562)),x61562),x61561)+~P1(f836(f836(f224(a899),x61562),x61561))
% 190.77/190.67 [6230]E(f836(f836(f31(a899),f836(f836(f75(a899),x62301),x62302)),x62302),x62301)+~P1(f836(f836(f225(a899),f2(a899)),x62302))
% 190.77/190.67 [6231]E(f836(f836(f31(a899),f836(f836(f75(a899),x62311),x62312)),x62311),x62312)+~P1(f836(f836(f225(a899),f2(a899)),x62311))
% 190.77/190.67 [6235]~P73(x62351)+E(f836(f836(f6(a899,x62351),f836(f154(x62351),x62352)),f836(f292(a899,f2(a899)),f836(f179(f900(x62351)),x62352))),f836(f155(x62351),x62352))
% 190.77/190.67 [6349]E(f41(a899,f836(a102,f836(f836(f75(a899),x63491),x63492)),x63491),f72(a899))+~P1(f836(f836(f225(a899),f72(a899)),x63491))
% 190.77/190.67 [6355]E(f836(a102,f836(f836(f74(a899),f836(f94(a899),x63551)),x63552)),f836(f836(f74(a899),f72(a899)),x63552))+~P1(f836(a183,f836(f94(a1),x63551)))
% 190.77/190.67 [6385]E(f836(a95,f836(f836(f234(a1),f836(f94(a1),x63851)),x63852)),f836(f836(f234(a899),f836(f94(a899),x63851)),x63852))+P1(f836(a183,f836(f94(a1),x63851)))
% 190.77/190.67 [6635]E(f836(f836(f23(a899),x66351),f836(f94(a899),f836(f836(f74(a1),x66352),a87))),f836(f836(f23(a899),f836(a102,x66351)),f836(f94(a899),x66352)))+~P1(f836(f836(f225(a1),a77),x66352))
% 190.77/190.67 [6717]E(x67171,f2(a899))+E(f836(a102,f836(f836(f74(a899),f836(f836(f23(a899),x67171),f72(a899))),x67172)),f836(f836(f74(a899),x67171),x67172))
% 190.77/190.67 [6760]E(x67601,f2(a1))+P1(f836(f836(f225(a1),f2(a1)),f836(f836(f234(a1),f836(f70(a1),x67601)),x67602)))
% 190.77/190.67 [6775]~E(x67752,f2(a899))+P1(f836(f836(f225(a1),f2(a1)),f836(f836(f234(a1),f836(f70(a1),x67751)),x67752)))
% 190.77/190.67 [6814]E(x68141,f2(a899))+E(f836(f836(f74(a899),x68142),f836(f836(f75(a899),f836(f836(f23(a899),x68141),f72(a899))),x68142)),f836(f836(f75(a899),x68141),x68142))
% 190.77/190.67 [6865]~P1(f836(f836(f224(a1),x68651),x68652))+P1(f836(f836(f225(a1),f836(f836(f74(a1),x68651),a87)),x68652))
% 190.77/190.67 [6994]E(f836(f836(f141(a899),x69941),f129(a899,f836(f292(a899,f836(a102,x69941)),x69942))),f129(a899,f836(f292(a899,x69941),x69942)))+~P1(f836(f836(f225(a899),x69941),x69942))
% 190.77/190.67 [7199]E(x71991,x71992)+~E(f836(f836(f23(a1),f836(f836(f74(a1),x71991),x71991)),a87),f836(f836(f23(a1),f836(f836(f74(a1),x71992),x71992)),a87))
% 190.77/190.67 [7202]E(x72021,f103(x72022))+E(f256(x72022,f836(f836(f144(x72022,f905(a89,x72022)),f836(f242(a89,x72022),f72(a89))),x72021)),f265(x72022,x72021))
% 190.77/190.67 [7438]P1(f836(f836(f224(a1),x74381),x74382))+~P1(f836(f836(f225(a1),f836(f836(f74(a1),x74381),a87)),x74382))
% 190.77/190.67 [7911]~P1(f836(f836(f225(a899),x79111),x79112))+P1(f836(f836(f318(f905(a899,a899)),f836(f836(f242(a899,a899),x79111),x79112)),a230))
% 190.77/190.67 [8131]~P1(f836(f836(f225(a89),f2(a89)),x81311))+P1(f836(f836(f225(a89),f836(f241(a89,f905(a89,a89)),f836(f257(x81311),x81312))),x81311))
% 190.77/190.67 [8395]~P37(x83951,x83952)+P37(x83951,f836(f836(f91(f906(f905(x83951,x83951),a895)),x83952),f297(x83951,f178(f906(f905(x83951,x83951),a895)))))
% 190.77/190.67 [8396]~P38(x83961,x83962)+P38(x83961,f836(f836(f91(f906(f905(x83961,x83961),a895)),x83962),f297(x83961,f178(f906(f905(x83961,x83961),a895)))))
% 190.77/190.67 [8444]~P86(x84441)+P1(f836(f836(f224(x84441),f836(f70(x84441),f836(f155(x84441),x84442))),f836(f155(x84441),f836(f836(f144(x84441,x84441),f70(x84441)),x84442))))
% 190.77/190.67 [8470]P1(f836(f836(f225(a899),x84701),x84702))+~P1(f836(f836(f318(f905(a899,a899)),f836(f836(f242(a899,a899),x84701),x84702)),a230))
% 190.77/190.67 [8617]E(f836(f836(f242(x86171,x86171),f559(x86172,x86171)),f559(x86172,x86171)),x86172)+~P1(f836(f836(f318(f905(x86171,x86171)),x86172),f297(x86171,f178(f906(f905(x86171,x86171),a895)))))
% 190.77/190.67 [8661]E(f836(f292(a899,x86611),f836(f836(f74(a899),x86611),f836(f30(a899),x86612))),x86612)+~P1(f836(f836(f224(f906(a899,a895)),x86612),f836(f292(a899,x86611),f836(f836(f74(a899),x86611),f836(f30(a899),x86612)))))
% 190.77/190.67 [8891]P38(x88911,x88912)+~P38(x88911,f836(f836(f91(f906(f905(x88911,x88911),a895)),x88912),f297(x88911,f178(f906(f905(x88911,x88911),a895)))))
% 190.77/190.67 [9017]E(f836(f836(f31(a1),f836(f94(a1),f836(f836(f23(a1),f836(f836(f74(a1),x90171),x90171)),a87))),f836(f94(a1),f836(f836(f74(a1),x90172),x90172))),f836(f836(f31(a1),f836(f94(a1),x90171)),f836(f94(a1),x90172)))+~P1(f836(f836(f224(a1),f2(a1)),f836(f94(a1),x90172)))
% 190.77/190.67 [9107]~P37(x91071,x91072)+P1(f836(f836(f224(f906(f905(x91071,x91071),a895)),f836(f836(f279(x91071,x91071,x91071),x91072),x91072)),x91072))
% 190.77/190.67 [9134]E(f167(f900(x91341),f836(f836(f8(a895,a895,f900(x91341)),a312),f836(f836(f7(f900(x91341),f900(x91341),a895),a314),f103(x91341))),x91342),f169(x91341,f169(x91341,x91342)))+~P13(a899,f836(f158(a899),f836(f836(f144(f900(x91341),a899),f179(f900(x91341))),x91342)))
% 190.77/190.67 [9137]E(f836(f836(f31(a1),f836(f94(a1),f836(f836(f23(a1),f836(f836(f74(a1),x91371),x91371)),a87))),f836(f94(a1),f836(f836(f74(a1),x91372),x91372))),f836(f836(f31(a1),f836(f836(f74(a1),f836(f94(a1),x91371)),f72(a1))),f836(f94(a1),x91372)))+P1(f836(f836(f224(a1),f2(a1)),f836(f94(a1),x91372)))
% 190.77/190.67 [9986]P1(f836(a183,x99862))+E(f836(f836(f80(a1,a899),f836(f836(f23(a1),x99861),x99862)),f836(f836(f18(a1,a899,a899),f836(f836(f7(a1,a899,f906(a899,a899)),f836(f836(f8(a895,f906(a899,f906(a899,a899)),a1),f86(a899)),a183)),f2(a899))),a95)),f836(f836(f23(a899),f836(a95,x99861)),f836(a95,x99862)))
% 190.77/190.67 [9994]E(f836(f836(f80(a1,a899),f836(f94(a1),f836(f836(f74(a1),x99941),f836(f73(a1),x99942)))),f836(f836(f18(a1,a899,a899),f836(f836(f7(a1,a899,f906(a899,a899)),f836(f836(f8(a895,f906(a899,f906(a899,a899)),a1),f86(a899)),a183)),f2(a899))),a95)),f836(f836(f23(a899),f836(f94(a899),x99941)),f836(f94(a899),x99942)))+P1(f836(f836(f225(a1),x99942),a77))
% 190.77/190.67 [9995]~P26(x99951,x99952)+P1(f836(f836(f224(f906(f905(x99951,x99951),a895)),f836(f836(f279(x99951,x99951,x99951),f836(f241(f906(f905(x99951,x99951),a895),f906(f905(x99951,x99951),a895)),x99952)),f836(f246(f906(f905(x99951,x99951),a895),f906(f905(x99951,x99951),a895)),x99952))),f836(f241(f906(f905(x99951,x99951),a895),f906(f905(x99951,x99951),a895)),x99952)))
% 190.77/190.67 [10050]~E(f836(f30(a899),f836(f252(a899),f836(f836(f18(a899,a895,a895),f836(f836(f8(a895,f906(a895,a895),a899),a315),f836(f836(f7(a899,f906(a899,a895),a895),f318(a899)),x100501))),f836(f836(f7(a899,a899,a895),f225(a899)),f836(a102,x100502))))),f2(a899))+~P1(f836(f836(f318(a899),f2(a899)),x100501))
% 190.77/190.67 [10061]E(f289(a899,f836(f836(f18(a899,f906(a899,a895),f906(a899,a895)),f836(f836(f8(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f18(a899,a895,a895)),f836(f836(f8(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f836(f8(a895,f906(a895,a895),a899),a315)),f277(a899)))),f836(f836(f8(f906(a899,a895),f906(a899,a895),a899),f836(f8(a895,a895,a899),a312)),f836(f7(a899,a899,a895),f277(a899)))),x100611,x100612),f178(f906(a899,a895)))+~P1(f836(f836(f277(a899),x100612),x100611))
% 190.77/190.67 [10066]E(f290(a899,f277(a899),f836(f836(f18(a899,f906(a899,a895),f906(a899,a895)),f836(f836(f8(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f18(a899,a895,a895)),f836(f836(f8(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f836(f8(a895,f906(a895,a895),a899),a315)),f277(a899)))),f836(f836(f8(f906(a899,a895),f906(a899,a895),a899),f836(f8(a895,a895,a899),a312)),f836(f7(a899,a899,a895),f277(a899)))),x100661,x100662),f178(f906(a899,a895)))+P1(f836(f836(f277(a899),x100661),x100662))
% 190.77/190.67 [10067]E(f287(a899,f277(a899),f836(f836(f18(a899,f906(a899,a895),f906(a899,a895)),f836(f836(f8(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f18(a899,a895,a895)),f836(f836(f8(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f836(f8(a895,f906(a895,a895),a899),a315)),f277(a899)))),f836(f836(f8(f906(a899,a895),f906(a899,a895),a899),f836(f8(a895,a895,a899),a312)),f836(f7(a899,a899,a895),f277(a899)))),x100671,x100672),f178(f906(a899,a895)))+P1(f836(f836(f277(a899),x100671),x100672))
% 190.77/190.67 [10071]E(f290(a899,f277(a899),f836(f836(f18(a899,f906(a899,a895),f906(a899,a895)),f836(f836(f8(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f18(a899,a895,a895)),f836(f836(f8(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f836(f8(a895,f906(a895,a895),a899),a315)),f277(a899)))),f836(f836(f8(f906(a899,a895),f906(a899,a895),a899),f836(f8(a895,a895,a899),a312)),f836(f7(a899,a899,a895),f277(a899)))),x100711,x100712),f178(f906(a899,a895)))+~P1(f836(f836(f277(a899),x100712),x100711))
% 190.77/190.67 [10073]E(f287(a899,f277(a899),f836(f836(f18(a899,f906(a899,a895),f906(a899,a895)),f836(f836(f8(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f18(a899,a895,a895)),f836(f836(f8(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f836(f8(a895,f906(a895,a895),a899),a315)),f277(a899)))),f836(f836(f8(f906(a899,a895),f906(a899,a895),a899),f836(f8(a895,a895,a899),a312)),f836(f7(a899,a899,a895),f277(a899)))),x100731,x100732),f178(f906(a899,a895)))+~P1(f836(f836(f277(a899),x100732),x100731))
% 190.77/190.67 [10116]E(f41(a1,f836(f94(a1),f836(f836(f23(a1),f836(f836(f74(a1),x101161),x101161)),a87)),f836(f94(a1),f836(f836(f74(a1),x101162),x101162))),f836(f836(f74(a1),f836(f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f41(a1,f836(f94(a1),x101161),f836(f94(a1),x101162)))),f72(a1)))+~P1(f836(f836(f224(a1),f2(a1)),f836(f94(a1),x101162)))
% 190.77/190.67 [10125]E(f41(a1,f836(f94(a1),f836(f836(f23(a1),f836(f836(f74(a1),x101251),x101251)),a87)),f836(f94(a1),f836(f836(f74(a1),x101252),x101252))),f836(f836(f23(a1),f836(f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f41(a1,f836(f836(f74(a1),f836(f94(a1),x101251)),f72(a1)),f836(f94(a1),x101252)))),f72(a1)))+P1(f836(f836(f224(a1),f2(a1)),f836(f94(a1),x101252)))
% 190.77/190.67 [10180]~P5(x101801)+E(f32(x101801,f836(f252(x101801),f836(f836(f8(f906(x101801,a895),a895,x101801),f82(x101801)),f836(f836(f8(f906(x101801,a895),f906(x101801,a895),x101801),f836(f18(x101801,a895,a895),f836(f836(f8(a895,f906(a895,a895),x101801),a319),f836(f836(f7(x101801,f906(x101801,a895),a895),f318(x101801)),x101802)))),f224(x101801))))),f33(x101801,x101802))
% 190.77/190.67 [10204]~P36(x102041,x102042)+P59(x102041,f836(f836(f7(x102041,f906(f905(x102041,x102041),a895),f906(x102041,a895)),f836(f836(f8(f906(x102041,f906(f906(f905(x102041,x102041),a895),a895)),f906(f906(f905(x102041,x102041),a895),f906(x102041,a895)),x102041),f7(x102041,f906(f905(x102041,x102041),a895),a895)),f836(f836(f8(f906(x102041,f905(x102041,x102041)),f906(x102041,f906(f906(f905(x102041,x102041),a895),a895)),x102041),f836(f8(f905(x102041,x102041),f906(f906(f905(x102041,x102041),a895),a895),x102041),f318(f905(x102041,x102041)))),f242(x102041,x102041)))),x102042))
% 190.77/190.67 [10205]~P8(x102051,f232(f906(x102051,a895)),x102052)+P7(x102051,f836(f836(f7(x102051,f906(f905(x102051,x102051),a895),f906(x102051,a895)),f836(f836(f8(f906(x102051,f906(f906(f905(x102051,x102051),a895),a895)),f906(f906(f905(x102051,x102051),a895),f906(x102051,a895)),x102051),f7(x102051,f906(f905(x102051,x102051),a895),a895)),f836(f836(f8(f906(x102051,f905(x102051,x102051)),f906(x102051,f906(f906(f905(x102051,x102051),a895),a895)),x102051),f836(f8(f905(x102051,x102051),f906(f906(f905(x102051,x102051),a895),a895),x102051),f318(f905(x102051,x102051)))),f242(x102051,x102051)))),x102052))
% 190.77/190.67 [10248]P36(x102481,x102482)+~P59(x102481,f836(f836(f7(x102481,f906(f905(x102481,x102481),a895),f906(x102481,a895)),f836(f836(f8(f906(x102481,f906(f906(f905(x102481,x102481),a895),a895)),f906(f906(f905(x102481,x102481),a895),f906(x102481,a895)),x102481),f7(x102481,f906(f905(x102481,x102481),a895),a895)),f836(f836(f8(f906(x102481,f905(x102481,x102481)),f906(x102481,f906(f906(f905(x102481,x102481),a895),a895)),x102481),f836(f8(f905(x102481,x102481),f906(f906(f905(x102481,x102481),a895),a895),x102481),f318(f905(x102481,x102481)))),f242(x102481,x102481)))),x102482))
% 190.77/190.67 [10249]P8(x102491,f232(f906(x102491,a895)),x102492)+~P7(x102491,f836(f836(f7(x102491,f906(f905(x102491,x102491),a895),f906(x102491,a895)),f836(f836(f8(f906(x102491,f906(f906(f905(x102491,x102491),a895),a895)),f906(f906(f905(x102491,x102491),a895),f906(x102491,a895)),x102491),f7(x102491,f906(f905(x102491,x102491),a895),a895)),f836(f836(f8(f906(x102491,f905(x102491,x102491)),f906(x102491,f906(f906(f905(x102491,x102491),a895),a895)),x102491),f836(f8(f905(x102491,x102491),f906(f906(f905(x102491,x102491),a895),a895),x102491),f318(f905(x102491,x102491)))),f242(x102491,x102491)))),x102492))
% 190.77/190.67 [7385]E(f836(f836(f74(a899),f836(f94(a899),f836(f836(f23(a1),x73851),a87))),x73852),f836(a102,f836(f836(f74(a899),f836(f94(a899),x73851)),x73852)))+P1(f836(a183,f836(f94(a1),x73851)))
% 190.77/190.67 [7828]~P94(x78281)+E(f836(f836(f74(x78281),f836(f836(f74(x78281),f72(x78281)),f836(f94(x78281),x78282))),f836(f94(x78281),x78282)),f836(f94(x78281),f836(f836(f23(a1),f836(f836(f74(a1),x78282),x78282)),a87)))
% 190.77/190.67 [8472]~P1(f836(f836(f224(a1),x84721),x84722))+P1(f836(f836(f224(a1),f836(f836(f74(a1),x84721),x84721)),f836(f836(f23(a1),f836(f836(f74(a1),x84722),x84722)),a87)))
% 190.77/190.67 [8474]~P1(f836(f836(f224(a1),x84741),x84742))+P1(f836(f836(f225(a1),f836(f836(f74(a1),x84741),x84741)),f836(f836(f23(a1),f836(f836(f74(a1),x84742),x84742)),a87)))
% 190.77/190.67 [8902]P1(f836(f836(f224(a1),x89021),x89022))+~P1(f836(f836(f224(a1),f836(f836(f74(a1),x89021),x89021)),f836(f836(f23(a1),f836(f836(f74(a1),x89022),x89022)),a87)))
% 190.77/190.67 [8904]P1(f836(f836(f224(a1),x89041),x89042))+~P1(f836(f836(f225(a1),f836(f836(f74(a1),x89041),x89041)),f836(f836(f23(a1),f836(f836(f74(a1),x89042),x89042)),a87)))
% 190.77/190.67 [9193]~P1(f836(f836(f224(a1),x91931),x91932))+P1(f836(f836(f224(a1),f836(f836(f23(a1),f836(f836(f74(a1),x91931),x91931)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),x91932),x91932)),a87)))
% 190.77/190.67 [9195]~P1(f836(f836(f225(a1),x91951),x91952))+P1(f836(f836(f225(a1),f836(f836(f23(a1),f836(f836(f74(a1),x91951),x91951)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),x91952),x91952)),a87)))
% 190.77/190.67 [9467]P1(f836(f836(f224(a1),x94671),x94672))+~P1(f836(f836(f224(a1),f836(f836(f23(a1),f836(f836(f74(a1),x94671),x94671)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),x94672),x94672)),a87)))
% 190.77/190.67 [9469]P1(f836(f836(f225(a1),x94691),x94692))+~P1(f836(f836(f225(a1),f836(f836(f23(a1),f836(f836(f74(a1),x94691),x94691)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),x94692),x94692)),a87)))
% 190.77/190.67 [9502]~P1(f836(f29(x95021),x95022))+P1(f836(f29(f906(x95021,a895)),f836(f252(f906(x95021,a895)),f836(f836(f7(f906(x95021,a895),f906(x95021,a895),a895),f224(f906(x95021,a895))),x95022))))
% 190.77/190.67 [9554]~E(f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),x95541),f178(f906(f905(a899,a899),a895)))),f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),x95542),f178(f906(f905(a899,a899),a895)))))+P1(f836(f836(f318(f905(f905(a899,a899),f905(a899,a899))),f836(f836(f242(f905(a899,a899),f905(a899,a899)),x95541),x95542)),a99))
% 190.77/190.67 [9648]E(f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),x96481),f178(f906(f905(a899,a899),a895)))),f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),x96482),f178(f906(f905(a899,a899),a895)))))+~P1(f836(f836(f318(f905(f905(a899,a899),f905(a899,a899))),f836(f836(f242(f905(a899,a899),f905(a899,a899)),x96481),x96482)),a99))
% 190.77/190.67 [9684]P1(f836(f836(f224(a1),f2(a1)),f614(x96841,x96842)))+E(f836(f252(a1),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a315),f836(f224(a1),f2(a1)))),x96841)),f836(f252(a1),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a315),f836(f224(a1),f2(a1)))),x96842)))
% 190.77/190.67 [10188]~P5(x101881)+E(f33(x101881,f836(f252(x101881),f836(f836(f8(f906(x101881,a895),a895,x101881),f82(x101881)),f836(f836(f8(f906(x101881,a895),f906(x101881,a895),x101881),f836(f18(x101881,a895,a895),f836(f836(f8(a895,f906(a895,a895),x101881),a319),f836(f836(f7(x101881,f906(x101881,a895),a895),f318(x101881)),x101882)))),f836(f7(x101881,x101881,a895),f224(x101881)))))),f32(x101881,x101882))
% 190.77/190.67 [10210]P1(f836(f836(f318(a899),f2(a899)),x102101))+E(f836(f30(a899),f836(f252(a899),f836(f836(f18(a899,a895,a895),f836(f836(f8(a895,f906(a895,a895),a899),a315),f836(f836(f7(a899,f906(a899,a895),a895),f836(f836(f8(a899,f906(f906(a899,a895),a895),a899),f318(a899)),a102)),x102101))),f836(f836(f7(a899,a899,a895),f225(a899)),x102102)))),f836(f30(a899),f836(f252(a899),f836(f836(f18(a899,a895,a895),f836(f836(f8(a895,f906(a895,a895),a899),a315),f836(f836(f7(a899,f906(a899,a895),a895),f318(a899)),x102101))),f836(f836(f7(a899,a899,a895),f225(a899)),f836(a102,x102102))))))
% 190.77/190.67 [10268]P1(f836(f836(f277(a899),x102681),x102682))+~P1(f836(f836(f318(a899),x102682),f285(a899,f836(f836(f18(a899,f906(a899,a895),f906(a899,a895)),f836(f836(f8(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f18(a899,a895,a895)),f836(f836(f8(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f836(f8(a895,f906(a895,a895),a899),a315)),f277(a899)))),f836(f836(f8(f906(a899,a895),f906(a899,a895),a899),f836(f8(a895,a895,a899),a312)),f836(f7(a899,a899,a895),f277(a899)))),x102681)))
% 190.77/190.67 [10269]P1(f836(f836(f277(a899),x102691),x102692))+~P1(f836(f836(f318(a899),x102691),f288(a899,f836(f836(f18(a899,f906(a899,a895),f906(a899,a895)),f836(f836(f8(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f18(a899,a895,a895)),f836(f836(f8(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f836(f8(a895,f906(a895,a895),a899),a315)),f277(a899)))),f836(f836(f8(f906(a899,a895),f906(a899,a895),a899),f836(f8(a895,a895,a899),a312)),f836(f7(a899,a899,a895),f277(a899)))),x102692)))
% 190.77/190.67 [10270]~P1(f836(f836(f277(a899),x102701),x102702))+~P1(f836(f836(f318(a899),x102702),f288(a899,f836(f836(f18(a899,f906(a899,a895),f906(a899,a895)),f836(f836(f8(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f18(a899,a895,a895)),f836(f836(f8(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f836(f8(a895,f906(a895,a895),a899),a315)),f277(a899)))),f836(f836(f8(f906(a899,a895),f906(a899,a895),a899),f836(f8(a895,a895,a899),a312)),f836(f7(a899,a899,a895),f277(a899)))),x102701)))
% 190.77/190.67 [10271]~P1(f836(f836(f277(a899),x102711),x102712))+~P1(f836(f836(f318(a899),x102711),f285(a899,f836(f836(f18(a899,f906(a899,a895),f906(a899,a895)),f836(f836(f8(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f18(a899,a895,a895)),f836(f836(f8(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f836(f8(a895,f906(a895,a895),a899),a315)),f277(a899)))),f836(f836(f8(f906(a899,a895),f906(a899,a895),a899),f836(f8(a895,a895,a899),a312)),f836(f7(a899,a899,a895),f277(a899)))),x102712)))
% 190.77/190.67 [7695]~P94(x76951)+E(f836(f836(f75(x76951),x76952),f836(f94(x76951),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))),x76952)
% 190.77/190.67 [7959]~P94(x79591)+E(f836(f836(f74(x79591),f836(f94(x79591),x79592)),f72(x79591)),f836(f94(x79591),f836(f836(f74(a1),x79592),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))
% 190.77/190.67 [8103]P1(f836(f836(f224(a1),f2(a1)),f836(f94(a1),x81032)))+E(f836(f836(f234(a1),x81031),f836(f94(a899),f836(f836(f23(a1),f836(f836(f74(a1),x81032),x81032)),a87))),f72(a1))
% 190.77/190.67 [9529]~P1(f836(f836(f224(a1),f2(a1)),f836(f94(a1),x95292)))+E(f836(f836(f234(a1),x95291),f836(f94(a899),f836(f836(f23(a1),f836(f836(f74(a1),x95292),x95292)),a87))),f836(f836(f80(a1,a1),f836(f836(f234(a1),x95291),f836(f94(a899),x95292))),f836(f836(f18(a1,a1,a1),f836(f836(f8(a1,f906(a1,a1),a1),f75(a1)),f836(f75(a1),x95291))),f5(a1))))
% 190.77/190.67 [9905]~P1(f836(f836(f224(a899),f625(x99052,x99051)),f836(x99051,f625(x99052,x99051))))+P1(f836(f29(a899),f836(f252(a899),f836(f836(f7(a899,a899,a895),f836(f836(f8(a899,f906(a899,a895),a899),f224(a899)),x99051)),x99052))))
% 190.77/190.67 [10040]~P1(f836(f836(f224(a899),f836(f94(a899),x100401)),f836(a102,x100402)))+P1(f836(f836(f80(a1,a895),f836(f94(a1),f836(f836(f74(a1),x100401),a87))),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a319),f836(f836(f8(a895,a895,a1),a312),a183))),f836(f836(f7(a1,a899,a895),f836(f836(f8(a899,f906(a899,a895),a1),f224(a899)),a95)),x100402))))
% 190.77/190.67 [10041]~P1(f836(f836(f225(a899),f836(f94(a899),x100411)),f836(a102,x100412)))+P1(f836(f836(f80(a1,a895),f836(f94(a1),f836(f836(f74(a1),x100411),a87))),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a319),f836(f836(f8(a895,a895,a1),a312),a183))),f836(f836(f7(a1,a899,a895),f836(f836(f8(a899,f906(a899,a895),a1),f225(a899)),a95)),x100412))))
% 190.77/190.67 [10100]P1(f836(f836(f224(a899),f836(f94(a899),x101001)),f836(a102,x101002)))+~P1(f836(f836(f80(a1,a895),f836(f94(a1),f836(f836(f74(a1),x101001),a87))),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a319),f836(f836(f8(a895,a895,a1),a312),a183))),f836(f836(f7(a1,a899,a895),f836(f836(f8(a899,f906(a899,a895),a1),f224(a899)),a95)),x101002))))
% 190.77/190.67 [10101]P1(f836(f836(f225(a899),f836(f94(a899),x101011)),f836(a102,x101012)))+~P1(f836(f836(f80(a1,a895),f836(f94(a1),f836(f836(f74(a1),x101011),a87))),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a319),f836(f836(f8(a895,a895,a1),a312),a183))),f836(f836(f7(a1,a899,a895),f836(f836(f8(a899,f906(a899,a895),a1),f225(a899)),a95)),x101012))))
% 190.77/190.67 [10131]~P1(f836(f836(f224(a899),f836(a102,x101312)),f836(f94(a899),x101311)))+P1(f836(f836(f80(a1,a895),f836(f94(a1),f836(f836(f74(a1),x101311),a87))),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a315),f836(f836(f8(a895,a895,a1),a312),a183))),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a319),f836(f836(f8(a895,a895,a1),a312),a183))),f836(f836(f8(a899,a895,a1),f836(f224(a899),x101312)),a95)))))
% 190.77/190.67 [10132]~P1(f836(f836(f225(a899),f836(a102,x101322)),f836(f94(a899),x101321)))+P1(f836(f836(f80(a1,a895),f836(f94(a1),f836(f836(f74(a1),x101321),a87))),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a315),f836(f836(f8(a895,a895,a1),a312),a183))),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a319),f836(f836(f8(a895,a895,a1),a312),a183))),f836(f836(f8(a899,a895,a1),f836(f225(a899),x101322)),a95)))))
% 190.77/190.67 [10178]P1(f836(f836(f224(a899),f836(a102,x101781)),f836(f94(a899),x101782)))+~P1(f836(f836(f80(a1,a895),f836(f94(a1),f836(f836(f74(a1),x101782),a87))),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a315),f836(f836(f8(a895,a895,a1),a312),a183))),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a319),f836(f836(f8(a895,a895,a1),a312),a183))),f836(f836(f8(a899,a895,a1),f836(f224(a899),x101781)),a95)))))
% 190.77/190.67 [10179]P1(f836(f836(f225(a899),f836(a102,x101791)),f836(f94(a899),x101792)))+~P1(f836(f836(f80(a1,a895),f836(f94(a1),f836(f836(f74(a1),x101792),a87))),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a315),f836(f836(f8(a895,a895,a1),a312),a183))),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a319),f836(f836(f8(a895,a895,a1),a312),a183))),f836(f836(f8(a899,a895,a1),f836(f225(a899),x101791)),a95)))))
% 190.77/190.67 [10258]~P1(f836(f836(f318(a899),f2(a899)),x102581))+E(f836(a102,f836(f30(a899),f836(f252(a899),f836(f836(f18(a899,a895,a895),f836(f836(f8(a895,f906(a895,a895),a899),a315),f836(f836(f7(a899,f906(a899,a895),a895),f836(f836(f8(a899,f906(f906(a899,a895),a895),a899),f318(a899)),a102)),x102581))),f836(f836(f7(a899,a899,a895),f225(a899)),x102582))))),f836(f30(a899),f836(f252(a899),f836(f836(f18(a899,a895,a895),f836(f836(f8(a895,f906(a895,a895),a899),a315),f836(f836(f7(a899,f906(a899,a895),a895),f318(a899)),x102581))),f836(f836(f7(a899,a899,a895),f225(a899)),f836(a102,x102582))))))
% 190.77/190.67 [8644]~P94(x86441)+E(f836(f836(f75(x86441),f836(f94(x86441),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))),x86442),x86442)
% 190.77/190.67 [8705]~P94(x87051)+E(f836(f836(f74(x87051),f72(x87051)),f836(f94(x87051),x87052)),f836(f94(x87051),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),x87052)))
% 190.77/190.67 [8767]~P94(x87671)+E(f836(f836(f23(x87671),f836(f94(x87671),x87672)),f72(x87671)),f836(f94(x87671),f836(f836(f74(a1),x87672),f836(f73(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))))
% 190.77/190.67 [8921]~P1(f836(f836(f225(a899),f836(f94(a899),a77)),x89212))+E(f836(f836(f23(a899),x89211),f836(f836(f23(a899),x89212),f836(f94(a899),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f836(f836(f23(a899),f836(a102,x89211)),x89212))
% 190.77/190.67 [9572]~P112(x95721)+E(f836(f836(f75(x95721),x95722),x95722),f836(f836(f234(x95721),x95722),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))))
% 190.77/190.67 [9573]~P80(x95731)+E(f836(f836(f234(x95731),x95732),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f836(f836(f75(x95731),x95732),x95732))
% 190.77/190.67 [9575]~P94(x95751)+E(f836(f836(f75(x95751),x95752),f836(f94(x95751),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f836(f836(f74(x95751),x95752),x95752))
% 190.77/190.67 [9823]~P128(x98231)+E(f836(f836(f234(x98231),f836(f73(x98231),x98232)),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f836(f836(f234(x98231),x98232),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))))
% 190.77/190.67 [9824]~P111(x98241)+E(f836(f836(f234(x98241),f836(f70(x98241),x98242)),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f836(f836(f234(x98241),x98242),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))))
% 190.77/190.67 [9820]~P94(x98201)+E(f836(f836(f75(x98201),f836(f94(x98201),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x98202),f836(f836(f74(x98201),x98202),x98202))
% 190.77/190.67 [9938]~P111(x99381)+E(f836(f70(x99381),f836(f836(f234(x99381),x99382),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))),f836(f836(f234(x99381),x99382),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))))
% 190.77/190.67 [10002]~P111(x100021)+P1(f836(f836(f224(x100021),f2(x100021)),f836(f836(f234(x100021),x100022),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))))
% 190.77/190.67 [10169]~E(f836(a102,x101692),f836(f94(a899),x101691))+P1(f836(f836(f80(a1,a895),f836(f94(a1),f836(f836(f74(a1),x101691),a87))),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a315),f836(f836(f8(a895,a895,a1),a312),a183))),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a319),f836(f836(f8(a895,a895,a1),a312),a183))),f836(f836(f7(a1,a899,a895),f836(f836(f8(a899,f906(a899,a895),a1),a314),a95)),x101692)))))
% 190.77/190.67 [10170]~E(f836(f94(a899),x101701),f836(a102,x101702))+P1(f836(f836(f80(a1,a895),f836(f94(a1),f836(f836(f74(a1),x101701),a87))),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a315),f836(f836(f8(a895,a895,a1),a312),a183))),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a319),f836(f836(f8(a895,a895,a1),a312),a183))),f836(f836(f7(a1,a899,a895),f836(f836(f8(a899,f906(a899,a895),a1),a314),a95)),x101702)))))
% 190.77/190.67 [10213]E(f836(a102,x102131),f836(f94(a899),x102132))+~P1(f836(f836(f80(a1,a895),f836(f94(a1),f836(f836(f74(a1),x102132),a87))),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a315),f836(f836(f8(a895,a895,a1),a312),a183))),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a319),f836(f836(f8(a895,a895,a1),a312),a183))),f836(f836(f7(a1,a899,a895),f836(f836(f8(a899,f906(a899,a895),a1),a314),a95)),x102131)))))
% 190.77/190.67 [10214]E(f836(f94(a899),x102141),f836(a102,x102142))+~P1(f836(f836(f80(a1,a895),f836(f94(a1),f836(f836(f74(a1),x102141),a87))),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a315),f836(f836(f8(a895,a895,a1),a312),a183))),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a319),f836(f836(f8(a895,a895,a1),a312),a183))),f836(f836(f7(a1,a899,a895),f836(f836(f8(a899,f906(a899,a895),a1),a314),a95)),x102142)))))
% 190.77/190.67 [10259]~P15(x102591,x102592)+P1(f836(f836(f318(f906(x102591,a895)),f788(x102592,x102591)),f836(f836(f8(f906(x102591,a895),a895,f906(x102591,a895)),f81(x102591)),f836(f836(f8(f906(x102591,a895),f906(x102591,a895),f906(x102591,a895)),f836(f18(x102591,a895,a895),f836(f836(f8(a895,f906(a895,a895),x102591),a315),f836(f836(f18(x102591,x102591,a895),x102592),f5(x102591))))),f836(f836(f7(f906(x102591,a895),f906(x102591,f906(x102591,a895)),f906(x102591,a895)),f836(f836(f8(f906(f906(x102591,a895),a895),f906(f906(x102591,f906(x102591,a895)),f906(x102591,a895)),f906(x102591,a895)),f8(f906(x102591,a895),a895,x102591)),a314)),x102592)))))
% 190.77/190.67 [10000]~P94(x100001)+E(f836(f836(f234(x100001),f836(f94(x100001),a87)),f836(f836(f75(a899),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x100002)),f72(x100001))
% 190.77/190.67 [10001]~P128(x100011)+E(f836(f836(f234(x100011),f836(f73(x100011),f72(x100011))),f836(f836(f75(a899),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x100012)),f72(x100011))
% 190.77/190.67 [10004]~P80(x100041)+E(f836(f836(f234(x100041),x100042),f836(f94(a899),f836(f836(f23(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))),a87))),f836(f836(f75(x100041),f836(f836(f75(x100041),x100042),x100042)),x100042))
% 190.77/190.67 [10193]~P1(f836(f836(f224(a1),f2(a1)),x101932))+E(f41(a1,f836(f836(f74(a1),f72(a1)),f836(f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x101931)),f836(f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x101932)),f836(f836(f74(a1),f72(a1)),f836(f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f41(a1,x101931,x101932))))
% 190.77/190.67 [10216]~P1(f836(f836(f224(a1),f2(a1)),x102162))+E(f836(f836(f31(a1),f836(f836(f74(a1),f72(a1)),f836(f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x102161))),f836(f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x102162)),f836(f836(f31(a1),x102161),x102162))
% 190.77/190.67 [10218]~P1(f836(f836(f224(a1),x102182),f2(a1)))+E(f836(f836(f31(a1),f836(f836(f74(a1),f72(a1)),f836(f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x102181))),f836(f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x102182)),f836(f836(f31(a1),f836(f836(f74(a1),x102181),f72(a1))),x102182))
% 190.77/190.67 [10219]~P1(f836(f836(f224(a1),x102192),f2(a1)))+E(f41(a1,f836(f836(f74(a1),f72(a1)),f836(f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x102191)),f836(f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x102192)),f836(f836(f23(a1),f836(f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f41(a1,f836(f836(f74(a1),x102191),f72(a1)),x102192))),f72(a1)))
% 190.77/190.67 [10091]~P94(x100911)+E(f836(f836(f234(x100911),f836(f94(x100911),a87)),f836(a102,f836(f836(f75(a899),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x100912))),f836(f94(x100911),a87))
% 190.77/190.67 [10093]~P128(x100931)+E(f836(f836(f234(x100931),f836(f73(x100931),f72(x100931))),f836(a102,f836(f836(f75(a899),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x100932))),f836(f73(x100931),f72(x100931)))
% 190.77/190.67 [5009]P37(x50091,x50092)+~P8(x50091,x50093,x50092)
% 190.77/190.67 [5011]P51(x50111,x50112)+~P8(x50111,x50113,x50112)
% 190.77/190.67 [5184]~P8(x51841,x51842,x51843)+P52(x51841,x51842,x51843)
% 190.77/190.67 [8169]~E(x81692,x81693)+P33(x81691,x81691,a314,x81692,x81693)
% 190.77/190.67 [8718]E(x87181,x87182)+~P33(x87183,x87183,a314,x87181,x87182)
% 190.77/190.67 [4813]E(f159(x48131,x48132,x48133),f103(x48131))+~E(x48132,f2(a899))
% 190.77/190.67 [4981]~E(f159(x49812,x49811,x49813),f103(x49812))+E(x49811,f2(a899))
% 190.77/190.67 [5189]~P36(x51891,x51893)+P36(x51891,f311(x51891,x51892,x51893))
% 190.77/190.67 [5298]~P28(x52981,x52982,x52983)+P30(a1,x52981,f168(x52982,x52983))
% 190.77/190.67 [5366]P28(x53661,x53662,x53663)+~P30(a1,x53661,f168(x53662,x53663))
% 190.77/190.67 [5438]~P8(x54381,x54382,x54383)+P8(f900(x54381),f151(x54381,x54382),f148(x54381,x54383))
% 190.77/190.67 [5439]~P52(x54391,x54392,x54393)+P52(f900(x54391),f151(x54391,x54392),f148(x54391,x54393))
% 190.77/190.67 [5552]P55(x55521,x55522,x55523)+~E(f534(x55523,x55522,x55521),f535(x55523,x55522,x55521))
% 190.77/190.67 [5553]P54(x55531,x55532,x55533)+~E(f553(x55533,x55532,x55531),f554(x55533,x55532,x55531))
% 190.77/190.67 [8175]~E(x81752,x81753)+P25(x81751,x81751,f25(x81751),x81752,x81753)
% 190.77/190.67 [8726]E(x87261,x87262)+~P25(x87263,x87263,f25(x87263),x87261,x87262)
% 190.77/190.67 [4768]~E(f836(f158(x47682),x47681),x47683)+E(x47681,f836(f158(x47682),x47683))
% 190.77/190.67 [4769]~E(x47692,f836(f158(x47691),x47693))+E(f836(f158(x47691),x47692),x47693)
% 190.77/190.67 [4819]E(x48191,x48192)+~E(f836(f158(x48193),x48191),f836(f158(x48193),x48192))
% 190.77/190.67 [5035]~P7(x50353,x50351)+P1(f836(f836(x50351,x50352),x50352))
% 190.77/190.67 [5036]~P42(x50363,x50361)+P1(f836(f836(x50361,x50362),x50362))
% 190.77/190.67 [5038]~P59(x50381,x50382)+P1(f836(f305(x50381,x50382),x50383))
% 190.77/190.67 [5104]~P36(x51041,x51042)+P36(f900(x51041),f836(f133(x51041,x51042),x51043))
% 190.77/190.67 [5109]~P1(f836(x51092,x51093))+~E(f836(f252(x51091),x51092),f178(f906(x51091,a895)))
% 190.77/190.67 [5110]~P1(f836(x51102,x51103))+~E(f178(f906(x51101,a895)),f836(f252(x51101),x51102))
% 190.77/190.67 [5122]E(x51221,f2(a899))+E(f134(x51222,f159(x51222,x51221,x51223)),x51223)
% 190.77/190.67 [5141]~P1(f836(x51411,x51413))+P1(f836(x51411,f84(x51412,x51411)))
% 190.77/190.67 [5142]~P1(f836(x51421,x51423))+P1(f836(x51421,f714(x51421,x51422)))
% 190.77/190.67 [5154]E(x51541,f2(a899))+E(f836(f131(x51542),f159(x51542,x51541,x51543)),x51543)
% 190.77/190.67 [5260]~E(x52602,x52603)+P1(f836(f836(f318(x52601),x52602),f836(a314,x52603)))
% 190.77/190.67 [5275]~E(x52752,f2(a899))+E(f836(f162(x52751),f159(x52751,x52752,x52753)),f178(f906(x52751,a895)))
% 190.77/190.67 [5320]E(f836(f158(x53201),x53202),f836(f836(f141(x53201),x53203),f103(x53201)))+~E(x53202,f836(f836(f141(x53201),x53203),f103(x53201)))
% 190.77/190.67 [5321]~E(x53213,f836(f836(f141(x53211),x53212),f103(x53211)))+E(f836(f836(f141(x53211),x53212),f103(x53211)),f836(f158(x53211),x53213))
% 190.77/190.67 [5362]~P32(x53621,x53622,x53623)+P32(x53621,x53622,f836(f158(x53621),x53623))
% 190.77/190.67 [5363]~P30(x53631,x53632,x53633)+P30(x53631,x53632,f836(f158(x53631),x53633))
% 190.77/190.67 [5367]E(f836(f30(x53671),f486(x53672,x53673,x53671)),x53672)+~E(f836(f30(x53671),x53673),f836(a102,x53672))
% 190.77/190.67 [5374]~P36(x53741,x53743)+P1(f836(f836(f318(x53741),x53742),f306(x53741,x53743)))
% 190.77/190.67 [5378]~E(f836(f158(x53782),x53781),f836(f836(f141(x53782),x53783),f103(x53782)))+E(x53781,f836(f836(f141(x53782),x53783),f103(x53782)))
% 190.77/190.67 [5379]~E(f836(f836(f141(x53792),x53793),f103(x53792)),f836(f158(x53792),x53791))+E(x53791,f836(f836(f141(x53792),x53793),f103(x53792)))
% 190.77/190.67 [5403]E(f79(f905(a899,a899),f44(x54031,x54032)),x54033)+~P1(f836(f44(x54031,x54032),x54033))
% 190.77/190.67 [5442]P32(x54421,x54422,x54423)+~P32(x54421,x54422,f836(f158(x54421),x54423))
% 190.77/190.67 [5443]P30(x54431,x54432,x54433)+~P30(x54431,x54432,f836(f158(x54431),x54433))
% 190.77/190.67 [5482]P1(f836(f836(x54821,x54822),x54822))+~P1(f836(f260(x54823,x54821),x54822))
% 190.77/190.67 [5483]~P1(f836(f836(x54832,x54833),x54833))+P1(f836(f260(x54831,x54832),x54833))
% 190.77/190.67 [5505]~E(x55052,f103(x55051))+P1(f836(f836(f318(f900(x55051)),x55052),f151(x55051,x55053)))
% 190.77/190.67 [5515]~P52(x55151,x55152,x55153)+P52(x55151,x55152,f836(f276(x55151,x55151),x55153))
% 190.77/190.67 [5516]~P55(x55161,x55162,x55163)+P55(x55161,x55162,f836(f276(x55161,x55161),x55163))
% 190.77/190.67 [5533]~P3(x55331)+E(f41(x55331,f41(x55331,x55332,x55333),x55333),f41(x55331,x55332,x55333))
% 190.77/190.67 [5635]E(x56351,x56352)+~P1(f836(f836(f318(x56353),x56351),f836(a314,x56352)))
% 190.77/190.67 [5682]~P144(x56821)+E(f180(x56821,x56822,f2(a899),x56823),x56823)
% 190.77/190.67 [5704]P52(x57041,x57042,x57043)+~P52(x57041,x57042,f836(f276(x57041,x57041),x57043))
% 190.77/190.67 [5705]P55(x57051,x57052,x57053)+~P55(x57051,x57052,f836(f276(x57051,x57051),x57053))
% 190.77/190.67 [5709]~P108(x57092)+E(f140(x57091,x57092,x57093,f103(x57091)),f103(x57091))
% 190.77/190.67 [5721]E(f160(x57211,x57212,f142(x57211,x57213)),f142(x57211,f160(x57211,x57212,x57213)))+~P1(f836(f127(x57211),x57213))
% 190.77/190.67 [5820]~P1(f836(f836(x58203,x58202),x58202))+P1(f836(f836(f318(x58201),x58202),f260(x58201,x58203)))
% 190.77/190.67 [5822]E(f836(f126(x58221,x58222),x58223),f103(x58221))+P1(f836(x58222,f648(x58223,x58222,x58221)))
% 190.77/190.67 [5890]E(f63(x58901,x58902,x58903),x58902)+P1(f836(x58903,f716(x58902,x58901,x58903)))
% 190.77/190.67 [5986]~P1(f836(f127(x59861),x59862))+P1(f836(f127(x59861),f166(x59861,x59862,x59863)))
% 190.77/190.67 [5987]~P1(f836(f127(x59871),x59873))+P1(f836(f127(x59871),f160(x59871,x59872,x59873)))
% 190.77/190.67 [5988]~P1(f836(f127(x59881),x59883))+P1(f836(f127(x59881),f167(x59881,x59882,x59883)))
% 190.77/190.67 [5989]~P1(f836(f127(x59891),x59893))+P1(f836(f127(x59891),f130(x59891,x59892,x59893)))
% 190.77/190.67 [5990]~P147(x59901,x59903,x59902)+P1(f836(x59901,f41(a1,x59902,x59903)))
% 190.77/190.67 [6007]~P32(x60073,x60071,x60072)+P1(f836(x60071,f729(x60072,x60071,x60073)))
% 190.77/190.67 [6008]~P34(x60083,x60081,x60082)+P1(f836(x60081,f736(x60082,x60081,x60083)))
% 190.77/190.67 [6009]~P34(x60093,x60091,x60092)+P1(f836(x60091,f746(x60092,x60091,x60093)))
% 190.77/190.67 [6010]~P32(x60103,x60101,x60102)+P1(f836(x60101,f772(x60102,x60101,x60103)))
% 190.77/190.67 [6011]~P32(x60113,x60111,x60112)+P1(f836(x60111,f773(x60111,x60112,x60113)))
% 190.77/190.67 [6016]P1(f836(f836(x60161,x60162),x60162))+~P1(f836(f836(f318(x60163),x60162),f260(x60163,x60161)))
% 190.77/190.67 [6031]E(f836(f126(x60311,x60312),x60313),f167(x60311,x60312,x60313))+P1(f836(x60312,f698(x60313,x60312,x60311)))
% 190.77/190.67 [6071]~P1(f836(f127(x60711),x60713))+P1(f836(f127(f900(x60711)),f51(x60711,x60712,x60713)))
% 190.77/190.67 [6107]~P109(x61071)+E(f836(f836(f92(f906(x61071,a895)),f836(f272(x61071),x61072)),f293(x61071,x61072,x61073)),f178(f906(x61071,a895)))
% 190.77/190.67 [6108]~P109(x61081)+E(f836(f836(f92(f906(x61081,a895)),f836(f291(x61081),x61082)),f296(x61081,x61082,x61083)),f178(f906(x61081,a895)))
% 190.77/190.67 [6109]~P109(x61091)+E(f836(f836(f92(f906(x61091,a895)),f836(f291(x61091),x61092)),f295(x61091,x61092,x61093)),f178(f906(x61091,a895)))
% 190.77/190.67 [6344]E(f836(f126(x63441,x63442),x63443),x63443)+~P1(f836(x63442,f649(x63443,x63442,x63441)))
% 190.77/190.67 [6346]E(f836(f836(f299(x63461),f470(x63462,x63463,x63461)),f486(x63462,x63463,x63461)),x63463)+~E(f836(f30(x63461),x63463),f836(a102,x63462))
% 190.77/190.67 [6362]P147(x63621,x63622,x63623)+~P1(f836(x63621,f41(a1,x63623,x63622)))
% 190.77/190.67 [6415]P30(x64151,x64152,x64153)+~P1(f836(x64152,f737(x64153,x64152,x64151)))
% 190.77/190.67 [6416]P30(x64161,x64162,x64163)+~P1(f836(x64162,f743(x64162,x64163,x64161)))
% 190.77/190.67 [6417]P30(x64171,x64172,x64173)+~P1(f836(x64172,f744(x64173,x64172,x64171)))
% 190.77/190.67 [6418]P28(x64181,x64182,x64183)+~P1(f836(x64181,f756(x64183,x64182,x64181)))
% 190.77/190.67 [6419]P29(x64191,x64192,x64193)+~P1(f836(x64191,f808(x64193,x64192,x64191)))
% 190.77/190.67 [6421]E(f167(x64211,x64212,x64213),x64213)+~P1(f836(x64212,f694(x64213,x64212,x64211)))
% 190.77/190.67 [6503]~P1(f836(x65032,f515(x65033,x65032,x65031)))+P1(f836(f238(x65031,x65032),x65033))
% 190.77/190.67 [6504]~P1(f836(x65042,f650(x65043,x65042,x65041)))+P1(f836(f150(x65041,x65042),x65043))
% 190.77/190.67 [6761]~P1(f836(f305(x67611,x67612),f865(x67613,x67612,x67611)))+P1(f836(f305(x67611,x67612),x67613))
% 190.77/190.67 [6762]~P1(f836(f305(x67621,x67622),f879(x67623,x67622,x67621)))+P1(f836(f305(x67621,x67622),x67623))
% 190.77/190.67 [7386]~P3(x73861)+E(f836(f836(f74(x73861),f836(f836(f75(x73861),x73862),f836(f836(f31(x73861),x73863),x73862))),f41(x73861,x73863,x73862)),x73863)
% 190.77/190.67 [7416]P28(x74161,x74162,x74163)+P1(f836(f836(f318(a1),f756(x74163,x74162,x74161)),f293(a1,x74162,x74163)))
% 190.77/190.67 [7849]E(f836(f836(f242(x78491,x78491),f444(x78492,x78493,x78491)),f444(x78492,x78493,x78491)),x78493)+~P1(f836(f836(f318(f905(x78491,x78491)),x78493),f253(x78491,x78492)))
% 190.77/190.67 [7967]~P1(f836(f836(f318(x79671),f456(x79673,x79672,x79671)),f306(x79671,x79673)))+P1(f836(f836(f318(x79671),x79672),f306(x79671,x79673)))
% 190.77/190.67 [7968]~P1(f836(f836(f318(x79681),f538(x79683,x79682,x79681)),f306(x79681,x79683)))+P1(f836(f836(f318(x79681),x79682),f306(x79681,x79683)))
% 190.77/190.67 [7969]~P1(f836(f836(f318(x79691),f540(x79693,x79692,x79691)),f306(x79691,x79693)))+P1(f836(f836(f318(x79691),x79692),f306(x79691,x79693)))
% 190.77/190.67 [8062]P32(a1,x80621,f168(x80622,x80623))+P28(f836(f67(a895,a895,a1,a312),x80621),x80622,x80623)
% 190.77/190.67 [8150]~P3(x81501)+E(f836(f836(f74(x81501),f836(f836(f75(x81501),f836(f836(f31(x81501),x81502),x81503)),x81503)),f41(x81501,x81502,x81503)),x81502)
% 190.77/190.67 [8196]~E(f836(f30(x81961),x81962),f836(a102,x81963))+~P1(f836(f836(f318(x81961),f470(x81963,x81962,x81961)),f486(x81963,x81962,x81961)))
% 190.77/190.67 [8636]~P32(a1,x86361,f168(x86362,x86363))+~P28(f836(f67(a895,a895,a1,a312),x86361),x86362,x86363)
% 190.77/190.67 [8823]P1(f836(f836(f224(f906(f905(x88231,x88231),a895)),f297(x88231,x88232)),f297(x88231,x88233)))+~P1(f836(f836(f224(f906(f905(x88231,x88231),a895)),x88232),f297(x88231,x88233)))
% 190.77/190.67 [9103]E(x91031,f103(x91032))+~P1(f836(f836(f318(f905(f900(x91032),f900(x91032))),f836(f836(f242(f900(x91032),f900(x91032)),x91031),f103(x91032))),f148(x91032,x91033)))
% 190.77/190.67 [9128]E(x91281,f103(x91282))+~P1(f836(f836(f318(f905(f900(x91282),f900(x91282))),f836(f836(f242(f900(x91282),f900(x91282)),f103(x91282)),x91281)),f148(x91282,x91283)))
% 190.77/190.67 [9253]E(f836(f836(f141(x92531),f668(x92532,x92533,x92531)),f669(x92532,x92533,x92531)),x92533)+~P1(f836(f836(f318(f905(f900(x92531),f900(x92531))),f836(f836(f242(f900(x92531),f900(x92531)),f103(x92531)),x92533)),f137(x92531,x92532)))
% 190.77/190.67 [9495]~P125(x94951)+~P1(f836(f836(f225(x94951),f836(f836(f74(x94951),f836(f836(f75(x94951),x94952),x94952)),f836(f836(f75(x94951),x94953),x94953))),f2(x94951)))
% 190.77/190.67 [9546]P1(f836(f29(x95461),x95462))+~P1(f836(f836(f318(f905(f906(x95461,a895),f906(x95461,a895))),f836(f836(f242(f906(x95461,a895),f906(x95461,a895)),x95463),x95462)),f304(x95461)))
% 190.77/190.67 [9849]~P46(x98491,x98492,x98493)+P1(f836(f836(f224(a1),f836(f836(f67(f905(a1,a1),a1,x98491,f241(a1,a1)),f202(x98491)),f220(x98491,x98492,f217(x98491,x98493)))),f2(a1)))
% 190.77/190.67 [9850]~P47(x98501,x98502,x98503)+P1(f836(f836(f225(a1),f836(f836(f67(f905(a1,a1),a1,x98501,f241(a1,a1)),f202(x98501)),f220(x98501,x98502,f217(x98501,x98503)))),f2(a1)))
% 190.77/190.67 [9968]P47(x99681,x99682,x99683)+~P1(f836(f836(f225(a1),f836(f836(f67(f905(a1,a1),a1,x99681,f241(a1,a1)),f202(x99681)),f220(x99681,x99682,f217(x99681,x99683)))),f2(a1)))
% 190.77/190.67 [9969]P46(x99691,x99692,x99693)+~P1(f836(f836(f224(a1),f836(f836(f67(f905(a1,a1),a1,x99691,f241(a1,a1)),f202(x99691)),f220(x99691,x99692,f217(x99691,x99693)))),f2(a1)))
% 190.77/190.67 [10321]~P111(x103211)+~P1(f836(f836(f225(x103211),f836(f836(f74(x103211),f836(f836(f234(x103211),x103212),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))),f836(f836(f234(x103211),x103213),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))))),f2(x103211)))
% 190.77/190.67 [4798]~E(x47983,f103(x47981))+E(f836(f836(f124(x47981),x47982),x47983),x47982)
% 190.77/190.67 [4799]~E(x47992,f103(x47991))+E(f836(f836(f124(x47991),x47992),x47993),x47993)
% 190.77/190.67 [4805]~E(x48052,f2(a899))+E(f836(f836(f165(x48051),x48052),x48053),f103(x48051))
% 190.77/190.67 [4814]~E(x48143,f103(x48141))+E(f836(f836(f165(x48141),x48142),x48143),f103(x48141))
% 190.77/190.67 [4853]~E(x48531,x48533)+E(x48531,f836(f836(f124(x48532),f103(x48532)),x48533))
% 190.77/190.67 [4944]~P82(x49442)+E(f836(f178(f906(x49441,x49442)),x49443),f178(x49442))
% 190.77/190.67 [4945]~P116(x49452)+E(f836(f232(f906(x49451,x49452)),x49453),f232(x49452))
% 190.77/190.67 [4963]E(x49631,f103(x49632))+~E(f836(f836(f124(x49632),x49633),x49631),x49633)
% 190.77/190.67 [4964]E(x49641,f103(x49642))+~E(f836(f836(f124(x49642),x49641),x49643),x49643)
% 190.77/190.67 [4972]E(x49721,f103(x49722))+~E(f836(f836(f124(x49722),x49723),x49721),f103(x49722))
% 190.77/190.67 [4973]E(x49731,f103(x49732))+~E(f836(f836(f124(x49732),x49731),x49733),f103(x49732))
% 190.77/190.67 [5002]~E(x50022,f2(a899))+E(f836(f836(f75(a899),x50021),x50022),f836(f836(f75(a899),x50023),x50022))
% 190.77/190.67 [5004]~E(x50041,f2(a899))+E(f836(f836(f75(a899),x50041),x50042),f836(f836(f75(a899),x50041),x50043))
% 190.77/190.67 [5062]~P112(x50621)+E(f836(f836(f74(x50621),x50622),x50623),f836(f836(f74(x50621),x50623),x50622))
% 190.77/190.67 [5063]~P112(x50631)+E(f836(f836(f75(x50631),x50632),x50633),f836(f836(f75(x50631),x50633),x50632))
% 190.77/190.67 [5065]~P108(x50651)+E(f836(f836(f228(x50651),x50652),x50653),f836(f836(f228(x50651),x50653),x50652))
% 190.77/190.67 [5067]~P108(x50671)+E(f836(f836(f223(x50671),x50672),x50673),f836(f836(f223(x50671),x50673),x50672))
% 190.77/190.67 [5069]~P98(x50691)+E(f836(f836(f91(x50691),x50692),x50693),f836(f836(f91(x50691),x50693),x50692))
% 190.77/190.67 [5070]~P99(x50701)+E(f836(f836(f91(x50701),x50702),x50703),f836(f836(f91(x50701),x50703),x50702))
% 190.77/190.67 [5071]~P99(x50711)+E(f836(f836(f92(x50711),x50712),x50713),f836(f836(f92(x50711),x50713),x50712))
% 190.77/190.67 [5073]~P104(x50731)+E(f836(f836(f92(x50731),x50732),x50733),f836(f836(f92(x50731),x50733),x50732))
% 190.77/190.67 [5136]E(f41(a899,x51361,x51362),f2(a899))+~E(x51361,f836(f836(f75(a899),x51362),x51363))
% 190.77/190.67 [5137]E(f41(a1,x51371,x51372),f2(a1))+~E(x51371,f836(f836(f75(a1),x51372),x51373))
% 190.77/190.67 [5201]E(x52011,x52012)+~E(f836(f836(f74(a899),x52013),x52011),f836(f836(f74(a899),x52013),x52012))
% 190.77/190.67 [5202]E(x52021,x52022)+~E(f836(f836(f74(a899),x52021),x52023),f836(f836(f74(a899),x52022),x52023))
% 190.77/190.67 [5212]~P66(x52121)+E(f836(f836(f74(x52121),x52122),f836(f73(x52121),x52123)),f836(f836(f23(x52121),x52122),x52123))
% 190.77/190.67 [5213]~P67(x52131)+E(f836(f836(f74(x52131),x52132),f836(f73(x52131),x52133)),f836(f836(f23(x52131),x52132),x52133))
% 190.77/190.67 [5214]~P114(x52141)+E(f836(f836(f74(x52141),x52142),f836(f73(x52141),x52143)),f836(f836(f23(x52141),x52142),x52143))
% 190.77/190.67 [5215]~P96(x52151)+E(f836(f836(f92(x52151),x52152),f836(f73(x52151),x52153)),f836(f836(f23(x52151),x52152),x52153))
% 190.77/190.67 [5216]~P66(x52161)+E(f836(f836(f23(x52161),x52162),f836(f73(x52161),x52163)),f836(f836(f74(x52161),x52162),x52163))
% 190.77/190.67 [5254]~P1(f836(x52543,x52542))+P1(f836(f836(f318(x52541),x52542),x52543))
% 190.77/190.67 [5256]~P74(x52562)+E(f836(f836(f9(x52561,x52562),x52563),f178(f906(x52561,a895))),f72(x52562))
% 190.77/190.67 [5258]~P73(x52582)+E(f836(f836(f6(x52581,x52582),x52583),f178(f906(x52581,a895))),f2(x52582))
% 190.77/190.67 [5310]~E(x53102,f836(f836(f74(a899),x53101),x53103))+P1(f836(f836(f224(a899),x53101),x53102))
% 190.77/190.67 [5313]~E(x53132,f178(f906(x53131,a895)))+E(f836(f836(f56(x53131),x53132),x53133),f178(f906(f906(x53131,a895),a895)))
% 190.77/190.67 [5314]~E(x53142,f178(f906(x53141,a895)))+E(f178(f906(f906(x53141,a895),a895)),f836(f836(f56(x53141),x53142),x53143))
% 190.77/190.67 [5383]~E(f836(f274(x53832,x53833),x53831),f178(f906(x53833,a895)))+E(x53831,f178(f906(f905(x53832,x53833),a895)))
% 190.77/190.67 [5384]~E(f836(f254(x53842,x53843),x53841),f178(f906(x53842,a895)))+E(x53841,f178(f906(f905(x53842,x53843),a895)))
% 190.77/190.67 [5416]E(f836(f274(x54161,x54162),x54163),f178(f906(x54162,a895)))+~E(x54163,f178(f906(f905(x54161,x54162),a895)))
% 190.77/190.67 [5417]E(f836(f254(x54171,x54172),x54173),f178(f906(x54171,a895)))+~E(x54173,f178(f906(f905(x54171,x54172),a895)))
% 190.77/190.67 [5420]E(f264(x54201,x54202,x54203),f836(f836(f23(a89),x54202),x54203))+P1(f836(f836(f225(a89),x54202),x54203))
% 190.77/190.67 [5436]P1(f836(x54361,x54362))+~P1(f836(f836(f318(x54363),x54362),x54361))
% 190.77/190.67 [5475]E(x54751,x54752)+~E(f836(f73(f906(x54753,a895)),x54751),f836(f73(f906(x54753,a895)),x54752))
% 190.77/190.67 [5486]~E(x54861,f178(f906(x54862,a895)))+~P1(f836(f836(f318(x54862),x54863),x54861))
% 190.77/190.67 [5517]~E(x55172,f836(f836(f74(a1),x55171),f836(f90(a1),x55173)))+P1(f836(f836(f224(a1),x55171),x55172))
% 190.77/190.67 [5531]E(f836(f836(f299(x55311),x55312),x55313),x55313)+~P1(f836(f836(f318(x55311),x55312),x55313))
% 190.77/190.67 [5542]E(x55421,f178(f906(x55422,a895)))+~E(f836(f836(f56(x55422),x55421),x55423),f178(f906(f906(x55422,a895),a895)))
% 190.77/190.67 [5543]E(x55431,f178(f906(x55432,a895)))+~E(f178(f906(f906(x55432,a895),a895)),f836(f836(f56(x55432),x55431),x55433))
% 190.77/190.67 [5549]~P132(x55491)+E(f836(f836(f75(x55491),f836(f73(x55491),x55492)),f836(f73(x55491),x55493)),f836(f836(f75(x55491),x55492),x55493))
% 190.77/190.67 [5551]~P61(x55511)+E(f836(f836(f281(x55511),f836(f73(x55511),x55512)),f836(f73(x55511),x55513)),f836(f836(f281(x55511),x55512),x55513))
% 190.77/190.67 [5582]~P1(f836(x55823,x55822))+P1(f836(f836(f318(x55821),x55822),f836(f252(x55821),x55823)))
% 190.77/190.67 [5609]E(x56091,f2(a899))+E(f836(f162(x56092),f159(x56092,x56091,x56093)),f836(f836(f299(x56092),x56093),f178(f906(x56092,a895))))
% 190.77/190.67 [5628]E(f160(x56281,x56282,x56283),x56283)+P1(f836(f836(f318(x56281),x56282),f836(f162(x56281),x56283)))
% 190.77/190.67 [5713]~P1(f836(f127(x57131),x57133))+P1(f836(f127(x57131),f836(f126(x57131,x57132),x57133)))
% 190.77/190.67 [5756]~P3(x57561)+E(f836(f836(f31(x57561),f41(x57561,x57562,x57563)),x57563),f2(x57561))
% 190.77/190.67 [5775]E(f166(x57751,f836(f836(f141(x57751),x57752),f103(x57751)),x57753),f103(x57751))+P1(f836(f836(f318(a899),f2(a899)),x57753))
% 190.77/190.67 [5781]E(x57811,f2(a899))+E(f836(f161(x57812),f159(x57812,x57811,x57813)),f159(x57812,f836(f836(f23(a899),x57811),f72(a899)),x57813))
% 190.77/190.67 [5832]E(f836(f836(f141(x58321),x58322),x58323),f130(x58321,x58322,x58323))+P1(f836(f836(f318(x58321),x58322),f836(f162(x58321),x58323)))
% 190.77/190.67 [5841]E(x58411,x58412)+~E(f836(f836(f75(a899),f836(a102,x58413)),x58411),f836(f836(f75(a899),f836(a102,x58413)),x58412))
% 190.77/190.67 [5842]~E(x58422,f836(f836(f74(a1),x58421),f836(f90(a1),f836(a102,x58423))))+P1(f836(f836(f225(a1),x58421),x58422))
% 190.77/190.67 [5912]~P29(x59121,x59122,x59123)+P30(a899,x59121,f129(a899,f836(f292(a899,x59122),x59123)))
% 190.77/190.67 [5965]~E(x59653,f103(x59651))+E(f836(f836(f836(f173(f900(x59651),f900(x59651)),x59652),f157(x59651)),x59653),f103(x59651))
% 190.77/190.67 [5969]P1(f836(x59691,x59692))+~P1(f836(f836(f318(x59693),x59692),f836(f252(x59693),x59691)))
% 190.77/190.67 [6002]E(x60021,x60022)+~E(f836(f836(f299(x60023),x60021),f178(f906(x60023,a895))),f836(f836(f299(x60023),x60022),f178(f906(x60023,a895))))
% 190.77/190.67 [6018]~P109(x60181)+E(f836(f836(f92(f906(x60181,a895)),f836(f272(x60181),x60182)),f836(f292(x60181,x60182),x60183)),f178(f906(x60181,a895)))
% 190.77/190.67 [6057]E(f130(x60571,x60572,x60573),x60573)+~P1(f836(f836(f318(x60571),x60572),f836(f162(x60571),x60573)))
% 190.77/190.67 [6079]~P65(x60791)+E(f836(f300(x60791,x60791,f73(x60791)),f836(f292(x60791,x60792),x60793)),f295(x60791,f836(f73(x60791),x60793),f836(f73(x60791),x60792)))
% 190.77/190.67 [6090]E(f836(f179(f900(x60901)),f160(x60901,x60902,x60903)),f836(f179(f900(x60901)),x60903))+P1(f836(f836(f318(x60901),x60902),f836(f162(x60901),x60903)))
% 190.77/190.67 [6145]~P109(x61451)+E(f836(f836(f92(f906(x61451,a895)),f836(f292(x61451,x61452),x61453)),f836(f273(x61451),x61453)),f178(f906(x61451,a895)))
% 190.77/190.67 [6165]~P65(x61651)+E(f836(f300(x61651,x61651,f73(x61651)),f296(x61651,x61652,x61653)),f296(x61651,f836(f73(x61651),x61653),f836(f73(x61651),x61652)))
% 190.77/190.67 [6166]~P65(x61661)+E(f836(f300(x61661,x61661,f73(x61661)),f293(x61661,x61662,x61663)),f293(x61661,f836(f73(x61661),x61663),f836(f73(x61661),x61662)))
% 190.77/190.67 [6232]E(f166(x62321,f836(f836(f141(x62321),x62322),f103(x62321)),x62323),f836(f836(f141(x62321),x62322),f103(x62321)))+~P1(f836(f836(f318(a899),f2(a899)),x62323))
% 190.77/190.67 [6237]P29(x62371,x62372,x62373)+~P30(a899,x62371,f129(a899,f836(f292(a899,x62372),x62373)))
% 190.77/190.67 [6240]~P65(x62401)+E(f836(f300(x62401,x62401,f73(x62401)),f295(x62401,x62402,x62403)),f836(f292(x62401,f836(f73(x62401),x62403)),f836(f73(x62401),x62402)))
% 190.77/190.67 [6262]~P4(x62621)+E(f41(x62621,f836(f73(x62621),f41(x62621,x62622,x62623)),x62623),f41(x62621,f836(f73(x62621),x62622),x62623))
% 190.77/190.67 [6360]~P1(f836(f29(f905(x63602,x63601)),x63603))+P1(f836(f29(x63601),f836(f274(x63602,x63601),x63603)))
% 190.77/190.67 [6361]~P1(f836(f29(f905(x63611,x63612)),x63613))+P1(f836(f29(x63611),f836(f254(x63611,x63612),x63613)))
% 190.77/190.67 [6366]~P109(x63661)+E(f836(f836(f92(f906(x63661,a895)),f296(x63661,x63662,x63663)),f836(f273(x63661),x63663)),f178(f906(x63661,a895)))
% 190.77/190.67 [6367]~P109(x63671)+E(f836(f836(f92(f906(x63671,a895)),f295(x63671,x63672,x63673)),f836(f294(x63671),x63673)),f178(f906(x63671,a895)))
% 190.77/190.67 [6368]~P109(x63681)+E(f836(f836(f92(f906(x63681,a895)),f293(x63681,x63682,x63683)),f836(f294(x63681),x63683)),f178(f906(x63681,a895)))
% 190.77/190.67 [6442]E(f836(f836(f154(x64421),x64422),f631(x64422,x64423,x64421)),x64423)+~P1(f836(f836(f318(x64421),x64423),f836(f162(x64421),x64422)))
% 190.77/190.67 [6591]E(x65911,f103(x65912))+~E(f836(f836(f836(f173(f900(x65912),f900(x65912)),x65913),f157(x65912)),x65911),f103(x65912))
% 190.77/190.67 [6697]~P1(f836(f29(f905(x66972,x66971)),x66973))+P1(f836(f29(f905(x66971,x66972)),f836(f276(x66972,x66971),x66973)))
% 190.77/190.67 [6720]E(x67201,x67202)+~E(f280(a899,f277(a899),x67203,x67201),f836(f836(f299(a899),x67202),f178(f906(a899,a895))))
% 190.77/190.67 [6721]E(x67211,x67212)+~E(f280(a899,f277(a899),x67211,x67212),f836(f836(f299(a899),x67213),f178(f906(a899,a895))))
% 190.77/190.67 [6857]P55(x68571,x68572,x68573)+P1(f836(f836(f318(x68571),f535(x68573,x68572,x68571)),x68572))
% 190.77/190.67 [6858]P55(x68581,x68582,x68583)+P1(f836(f836(f318(x68581),f534(x68583,x68582,x68581)),x68582))
% 190.77/190.67 [6868]P1(f836(f305(x68681,x68682),x68683))+P1(f836(f836(x68682,f865(x68683,x68682,x68681)),x68683))
% 190.77/190.67 [6869]P1(f836(f305(x68691,x68692),x68693))+P1(f836(f836(x68692,f879(x68693,x68692,x68691)),x68693))
% 190.77/190.67 [6900]E(f836(f179(f900(x69001)),f160(x69001,x69002,x69003)),f836(f836(f23(a899),f836(f179(f900(x69001)),x69003)),f72(a899)))+~P1(f836(f836(f318(x69001),x69002),f836(f162(x69001),x69003)))
% 190.77/190.67 [6939]P1(f836(f238(x69391,x69392),x69393))+P1(f836(f836(f318(x69391),f515(x69393,x69392,x69391)),x69393))
% 190.77/190.67 [6948]~P1(f836(f29(f905(x69482,x69481)),f836(f276(x69481,x69482),x69483)))+P1(f836(f29(f905(x69481,x69482)),x69483))
% 190.77/190.67 [7008]~P1(f836(f836(f318(x70081),x70082),f836(f162(x70081),f104(x70081,x70083))))+P1(f836(f836(f318(x70081),x70082),f836(f162(x70081),x70083)))
% 190.77/190.67 [7043]E(f836(f126(x70431,x70432),x70433),x70433)+P1(f836(f836(f318(x70431),f649(x70433,x70432,x70431)),f836(f162(x70431),x70433)))
% 190.77/190.67 [7059]E(f836(f126(x70591,x70592),x70593),f103(x70591))+P1(f836(f836(f318(x70591),f648(x70593,x70592,x70591)),f836(f162(x70591),x70593)))
% 190.77/190.67 [7084]P30(x70841,x70842,x70843)+P1(f836(f836(f318(x70841),f737(x70843,x70842,x70841)),f836(f162(x70841),x70843)))
% 190.77/190.67 [7085]P30(x70851,x70852,x70853)+P1(f836(f836(f318(x70851),f744(x70853,x70852,x70851)),f836(f162(x70851),x70853)))
% 190.77/190.67 [7086]P30(x70861,x70862,x70863)+P1(f836(f836(f318(x70861),f743(x70862,x70863,x70861)),f836(f162(x70861),x70863)))
% 190.77/190.67 [7089]E(f167(x70891,x70892,x70893),x70893)+P1(f836(f836(f318(x70891),f694(x70893,x70892,x70891)),f836(f162(x70891),x70893)))
% 190.77/190.67 [7165]P1(f836(f150(x71651,x71652),x71653))+P1(f836(f836(f318(x71651),f650(x71653,x71652,x71651)),f836(f162(x71651),x71653)))
% 190.77/190.67 [7174]~P32(x71741,x71743,x71742)+P1(f836(f836(f318(x71741),f729(x71742,x71743,x71741)),f836(f162(x71741),x71742)))
% 190.77/190.67 [7175]~P34(x71751,x71753,x71752)+P1(f836(f836(f318(x71751),f736(x71752,x71753,x71751)),f836(f162(x71751),x71752)))
% 190.77/190.67 [7176]~P34(x71761,x71763,x71762)+P1(f836(f836(f318(x71761),f746(x71762,x71763,x71761)),f836(f162(x71761),x71762)))
% 190.77/190.67 [7177]~P32(x71771,x71773,x71772)+P1(f836(f836(f318(x71771),f772(x71772,x71773,x71771)),f836(f162(x71771),x71772)))
% 190.77/190.67 [7178]~P32(x71781,x71782,x71783)+P1(f836(f836(f318(x71781),f773(x71782,x71783,x71781)),f836(f162(x71781),x71783)))
% 190.77/190.67 [7212]P1(f836(f836(f318(x72121),x72122),f612(x72123,x72122,x72121)))+~P1(f836(f836(f318(x72121),x72122),f32(f906(x72121,a895),x72123)))
% 190.77/190.67 [7213]~P73(x72131)+E(f836(f836(f74(x72131),f836(f836(f6(a899,x72131),x72132),f836(f272(a899),x72133))),f836(x72132,x72133)),f836(f836(f6(a899,x72131),x72132),f836(f272(a899),f836(a102,x72133))))
% 190.77/190.67 [7225]P29(x72251,x72252,x72253)+P1(f836(f836(f318(a899),f808(x72253,x72252,x72251)),f836(f292(a899,x72252),x72253)))
% 190.77/190.67 [7305]~P32(x73052,x73051,x73053)+P1(f836(x73051,f836(f836(f154(x73052),x73053),f732(x73053,x73051,x73052))))
% 190.77/190.67 [7316]~P1(f836(f836(f318(x73161),x73162),f600(x73162,x73163,x73161)))+P1(f836(f836(f318(x73161),x73162),f33(f906(x73161,a895),x73163)))
% 190.77/190.67 [7349]~P73(x73491)+E(f836(f836(f74(x73491),f836(f836(f6(a899,x73491),x73492),f836(f291(a899),x73493))),f836(x73492,f836(a102,x73493))),f836(f836(f6(a899,x73491),x73492),f836(f291(a899),f836(a102,x73493))))
% 190.77/190.67 [7490]P1(f836(f836(f318(f900(x74901)),x74902),f151(x74901,x74903)))+P1(f836(f836(f318(x74901),f635(x74903,x74902,x74901)),f836(f162(x74901),x74902)))
% 190.77/190.67 [7506]~P1(f836(f836(f318(f900(x75061)),x75062),f151(x75061,f306(x75061,x75063))))+P1(f836(f836(f318(f900(x75061)),x75062),f306(f900(x75061),f147(x75061,x75063))))
% 190.77/190.67 [7530]~P1(f836(f836(f318(f900(x75301)),x75302),f306(f900(x75301),f147(x75301,x75303))))+P1(f836(f836(f318(f900(x75301)),x75302),f151(x75301,f306(x75301,x75303))))
% 190.77/190.67 [7562]E(f836(f836(f836(f173(f900(x75621),f900(x75621)),x75622),f157(x75621)),x75623),x75623)+~P1(f836(f836(f224(a899),f836(f179(f900(x75621)),x75623)),f72(a899)))
% 190.77/190.67 [7595]E(f836(f836(f124(x75951),f733(x75952,x75953,x75951)),f836(f836(f141(x75951),x75953),f734(x75952,x75953,x75951))),x75952)+~P1(f836(f836(f318(x75951),x75953),f836(f162(x75951),x75952)))
% 190.77/190.67 [7596]E(f836(f836(f124(x75961),f739(x75962,x75963,x75961)),f836(f836(f141(x75961),x75963),f740(x75962,x75963,x75961))),x75962)+~P1(f836(f836(f318(x75961),x75963),f836(f162(x75961),x75962)))
% 190.77/190.67 [7597]E(f836(f836(f124(x75971),f741(x75972,x75973,x75971)),f836(f836(f141(x75971),x75973),f742(x75972,x75973,x75971))),x75972)+~P1(f836(f836(f318(x75971),x75973),f836(f162(x75971),x75972)))
% 190.77/190.67 [7618]~P24(x76181,x76182,x76183,f232(f906(x76181,a895)))+P24(f900(x76181),f900(x76182),f836(f144(x76181,x76182),x76183),f232(f906(f900(x76181),a895)))
% 190.77/190.67 [7771]E(x77711,f836(f836(f74(a899),f836(f836(f75(a899),f836(f241(a899,a899),x77712)),x77713)),f836(f246(a899,a899),x77712)))+~P1(f836(f44(x77711,x77713),x77712))
% 190.77/190.67 [7779]P24(x77791,x77792,x77793,f232(f906(x77791,a895)))+~P24(f900(x77791),f900(x77792),f836(f144(x77791,x77792),x77793),f232(f906(f900(x77791),a895)))
% 190.77/190.67 [7824]P1(f836(f836(f318(f906(x78241,a895)),f600(x78242,x78243,x78241)),x78243))+P1(f836(f836(f318(x78241),x78242),f33(f906(x78241,a895),x78243)))
% 190.77/190.67 [7915]P1(f836(f836(f318(f900(x79151)),x79152),f151(x79151,x79153)))+~P1(f836(f836(f318(x79151),f635(x79153,x79152,x79151)),x79153))
% 190.77/190.67 [8016]P30(x80161,x80162,x80163)+~P1(f836(x80162,f836(f836(f154(x80161),x80163),f738(x80163,x80162,x80161))))
% 190.77/190.67 [8041]E(x80411,x80412)+~E(f836(f836(f7(x80413,f906(x80413,a895),a895),f318(x80413)),x80411),f836(f836(f7(x80413,f906(x80413,a895),a895),f318(x80413)),x80412))
% 190.77/190.67 [8049]~P1(f836(f836(f318(f905(x80491,x80491)),x80493),f253(x80491,x80492)))+P1(f836(f836(f318(x80491),f444(x80492,x80493,x80491)),x80492))
% 190.77/190.67 [8051]~P1(f836(f836(f318(x80511),x80513),f32(f906(x80511,a895),x80512)))+P1(f836(f836(f318(f906(x80511,a895)),f612(x80512,x80513,x80511)),x80512))
% 190.77/190.67 [8170]P24(x81701,x81702,f85(x81702,x81701,f232(f906(x81702,a895)),x81703),f232(f906(x81701,a895)))+~E(f836(f300(x81702,x81701,x81703),f232(f906(x81702,a895))),f232(f906(x81701,a895)))
% 190.77/190.67 [8224]~P1(f836(f836(f318(x82241),x82242),f836(f162(x82241),f739(x82243,x82242,x82241))))+~P1(f836(f836(f318(x82241),x82242),f836(f162(x82241),x82243)))
% 190.77/190.67 [8225]~P1(f836(f836(f318(x82251),x82252),f836(f162(x82251),f742(x82253,x82252,x82251))))+~P1(f836(f836(f318(x82251),x82252),f836(f162(x82251),x82253)))
% 190.77/190.67 [8254]P29(f836(f67(a895,a895,a899,a312),x82541),x82542,x82543)+P32(a899,x82541,f129(a899,f836(f292(a899,x82542),x82543)))
% 190.77/190.67 [8415]E(x84151,f103(x84152))+P1(f836(f836(f318(x84152),f836(f241(x84152,f905(a89,a89)),f836(f265(x84152,x84151),x84153))),f836(f162(x84152),x84151)))
% 190.77/190.67 [8514]~P68(x85141)+E(f836(f132(x85141,x85141,f836(f7(x85141,x85141,x85141),f74(x85141)),x85142),f836(f158(x85141),x85143)),f836(f132(x85141,x85141,f74(x85141),x85142),x85143))
% 190.77/190.67 [8706]~P24(x87062,x87061,x87063,f232(f906(x87062,a895)))+E(f836(f300(x87061,x87062,f85(x87062,x87061,f232(f906(x87062,a895)),x87063)),f232(f906(x87061,a895))),f232(f906(x87062,a895)))
% 190.77/190.67 [8776]~P29(f836(f67(a895,a895,a899,a312),x87761),x87762,x87763)+~P32(a899,x87761,f129(a899,f836(f292(a899,x87762),x87763)))
% 190.77/190.67 [9023]~P108(x90231)+E(f836(f162(x90231),f139(x90231,x90231,f5(x90231),x90232,x90233)),f836(f836(f299(x90231),x90232),f836(f162(x90231),x90233)))
% 190.77/190.67 [9032]~E(f836(x90323,f836(f85(x90321,x90322,f232(f906(x90321,a895)),x90323),f787(x90323,x90322,x90321))),f787(x90323,x90322,x90321))+E(f836(f300(x90321,x90322,x90323),f232(f906(x90321,a895))),f232(f906(x90322,a895)))
% 190.77/190.67 [9034]P1(f836(f836(f225(a899),f2(a899)),f560(x90341,x90342,x90343)))+~P1(f836(f836(f318(f905(x90343,x90343)),x90342),f836(f836(f279(x90343,x90343,x90343),x90341),f297(x90343,x90341))))
% 190.77/190.67 [9311]~P57(x93111,x93112)+~P1(f836(f836(f318(f905(x93111,x93111)),f836(f836(f242(x93111,x93111),x93113),x93113)),f836(f836(f279(x93111,x93111,x93111),x93112),f297(x93111,x93112))))
% 190.77/190.67 [9450]~E(f836(f836(f92(f906(f905(x94501,x94501),a895)),f836(f276(x94501,x94501),x94502)),f297(x94501,x94502)),f178(f906(f905(x94501,x94501),a895)))+~P1(f836(f836(f318(f905(x94501,x94501)),f836(f836(f242(x94501,x94501),x94503),x94503)),f836(f836(f279(x94501,x94501,x94501),x94502),f297(x94501,x94502))))
% 190.77/190.67 [9641]~P1(f836(f29(x96411),x96412))+P1(f836(f836(f224(a899),f836(f30(x96411),f836(f836(f23(f906(x96411,a895)),x96412),f836(f836(f299(x96411),x96413),f178(f906(x96411,a895)))))),f836(f30(x96411),x96412)))
% 190.77/190.67 [5124]~E(x51243,f103(x51241))+E(f134(x51241,f836(f836(f141(x51241),x51242),x51243)),x51242)
% 190.77/190.67 [5133]~E(x51333,f103(x51331))+E(f104(x51331,f836(f836(f141(x51331),x51332),x51333)),f103(x51331))
% 190.77/190.67 [5163]E(x51631,f103(x51632))+E(f134(x51632,f836(f836(f141(x51632),x51633),x51631)),f134(x51632,x51631))
% 190.77/190.67 [5165]E(x51651,f103(x51652))+E(f134(x51652,f836(f836(f124(x51652),x51653),x51651)),f134(x51652,x51651))
% 190.77/190.67 [5171]~E(x51713,f103(x51711))+E(f104(x51711,f836(f836(f124(x51711),x51712),x51713)),f104(x51711,x51712))
% 190.77/190.67 [5173]~E(x51733,f103(x51731))+E(f134(x51731,f836(f836(f124(x51731),x51732),x51733)),f134(x51731,x51732))
% 190.77/190.67 [5206]E(x52061,f103(x52062))+E(f836(f131(x52062),f836(f836(f124(x52062),x52061),x52063)),f836(f131(x52062),x52061))
% 190.77/190.67 [5234]~E(x52342,f103(x52341))+E(f836(f131(x52341),f836(f836(f124(x52341),x52342),x52343)),f836(f131(x52341),x52343))
% 190.77/190.67 [5286]~P108(x52861)+E(f836(f836(f228(x52861),x52862),f836(f836(f223(x52861),x52862),x52863)),x52862)
% 190.77/190.67 [5287]~P108(x52871)+E(f836(f836(f223(x52871),x52872),f836(f836(f228(x52871),x52872),x52873)),x52872)
% 190.77/190.67 [5288]~P99(x52881)+E(f836(f836(f91(x52881),x52882),f836(f836(f92(x52881),x52882),x52883)),x52882)
% 190.77/190.67 [5289]~P99(x52891)+E(f836(f836(f92(x52891),x52892),f836(f836(f91(x52891),x52892),x52893)),x52892)
% 190.77/190.67 [5308]~P3(x53081)+E(f41(x53081,f836(f836(f75(x53081),x53082),x53083),x53083),f2(x53081))
% 190.77/190.67 [5309]~P3(x53091)+E(f41(x53091,f836(f836(f75(x53091),x53092),x53093),x53092),f2(x53091))
% 190.77/190.67 [5377]~P67(x53771)+E(f836(f73(x53771),f836(f836(f23(x53771),x53772),x53773)),f836(f836(f23(x53771),x53773),x53772))
% 190.77/190.67 [5440]E(x54401,f103(x54402))+E(f104(x54402,f836(f836(f141(x54402),x54403),x54401)),f836(f836(f141(x54402),x54403),f104(x54402,x54401)))
% 190.77/190.67 [5441]E(x54411,f103(x54412))+E(f104(x54412,f836(f836(f124(x54412),x54413),x54411)),f836(f836(f124(x54412),x54413),f104(x54412,x54411)))
% 190.77/190.67 [5444]~P5(x54441)+E(f33(x54441,f836(f836(f299(x54441),x54442),x54443)),f836(f836(f92(x54441),x54442),f33(x54441,x54443)))
% 190.77/190.67 [5445]~P5(x54451)+E(f32(x54451,f836(f836(f299(x54451),x54452),x54453)),f836(f836(f91(x54451),x54452),f32(x54451,x54453)))
% 190.77/190.67 [5491]~P97(x54911)+E(f836(f836(f75(x54911),x54912),f836(f836(f75(x54911),x54912),x54913)),f836(f836(f75(x54911),x54912),x54913))
% 190.77/190.67 [5493]~P108(x54931)+E(f836(f836(f228(x54931),x54932),f836(f836(f228(x54931),x54932),x54933)),f836(f836(f228(x54931),x54932),x54933))
% 190.77/190.67 [5495]~P108(x54951)+E(f836(f836(f223(x54951),x54952),f836(f836(f223(x54951),x54952),x54953)),f836(f836(f223(x54951),x54952),x54953))
% 190.77/190.67 [5497]~P98(x54971)+E(f836(f836(f91(x54971),x54972),f836(f836(f91(x54971),x54972),x54973)),f836(f836(f91(x54971),x54972),x54973))
% 190.77/190.67 [5498]~P99(x54981)+E(f836(f836(f91(x54981),x54982),f836(f836(f91(x54981),x54982),x54983)),f836(f836(f91(x54981),x54982),x54983))
% 190.77/190.67 [5499]~P99(x54991)+E(f836(f836(f92(x54991),x54992),f836(f836(f92(x54991),x54992),x54993)),f836(f836(f92(x54991),x54992),x54993))
% 190.77/190.67 [5501]~P104(x55011)+E(f836(f836(f92(x55011),x55012),f836(f836(f92(x55011),x55012),x55013)),f836(f836(f92(x55011),x55012),x55013))
% 190.77/190.67 [5508]~P3(x55081)+E(f41(x55081,f836(f836(f74(x55081),x55082),x55083),x55083),f41(x55081,x55082,x55083))
% 190.77/190.67 [5509]~P3(x55091)+E(f41(x55091,f836(f836(f74(x55091),x55092),x55093),x55092),f41(x55091,x55093,x55092))
% 190.77/190.67 [5518]~P132(x55181)+E(f836(f836(f75(x55181),x55182),f836(f73(x55181),x55183)),f836(f73(x55181),f836(f836(f75(x55181),x55182),x55183)))
% 190.77/190.67 [5519]~P61(x55191)+E(f836(f836(f281(x55191),x55192),f836(f73(x55191),x55193)),f836(f73(x55191),f836(f836(f281(x55191),x55192),x55193)))
% 190.77/190.67 [5520]~P79(x55201)+E(f836(f836(f74(x55201),x55202),f836(f155(x55201),x55203)),f836(f155(x55201),f836(f836(f141(x55201),x55202),x55203)))
% 190.77/190.67 [5548]~P132(x55481)+E(f836(f836(f75(x55481),f836(f73(x55481),x55482)),x55483),f836(f836(f75(x55481),x55482),f836(f73(x55481),x55483)))
% 190.77/190.67 [5554]~P8(x55541,x55542,x55543)+E(f32(f906(x55541,a895),f836(f836(f56(x55541),x55542),x55543)),x55542)
% 190.77/190.67 [5620]~P115(x56201)+E(f836(f836(f75(x56201),x56202),f836(f836(f234(x56201),x56202),x56203)),f836(f836(f234(x56201),x56202),f836(a102,x56203)))
% 190.77/190.67 [5621]~P112(x56211)+E(f836(f836(f75(x56211),x56212),f836(f836(f234(x56211),x56212),x56213)),f836(f836(f234(x56211),x56212),f836(a102,x56213)))
% 190.77/190.67 [5631]~P66(x56311)+E(f836(f836(f74(x56311),f836(f73(x56311),x56312)),f836(f836(f74(x56311),x56312),x56313)),x56313)
% 190.77/190.67 [5654]~P144(x56541)+E(f836(f836(f234(x56541),f836(f90(x56541),x56542)),x56543),f836(f90(x56541),f836(f836(f234(a899),x56542),x56543)))
% 190.77/190.67 [5655]~P128(x56551)+E(f836(f836(f234(x56551),f836(f93(x56551),x56552)),x56553),f836(f93(x56551),f836(f836(f234(a1),x56552),x56553)))
% 190.77/190.67 [5661]~P86(x56611)+E(f836(f70(x56611),f836(f836(f23(x56611),x56612),x56613)),f836(f70(x56611),f836(f836(f23(x56611),x56613),x56612)))
% 190.77/190.67 [5663]~P111(x56631)+E(f836(f836(f75(x56631),f76(x56631,x56632)),f76(x56631,x56633)),f76(x56631,f836(f836(f75(x56631),x56632),x56633)))
% 190.77/190.67 [5667]E(x56671,f103(x56672))+E(f836(f836(f124(x56672),f836(f161(x56672),x56671)),x56673),f836(f161(x56672),f836(f836(f124(x56672),x56671),x56673)))
% 190.77/190.67 [5673]~E(x56732,f836(a102,f836(f836(f74(a899),x56731),x56733)))+P1(f836(f836(f225(a899),x56731),x56732))
% 190.77/190.67 [5674]~P132(x56741)+E(f836(f836(f75(x56741),f836(f73(x56741),x56742)),x56743),f836(f73(x56741),f836(f836(f75(x56741),x56742),x56743)))
% 190.77/190.67 [5675]~P122(x56751)+E(f836(f836(f281(x56751),f836(f73(x56751),x56752)),x56753),f836(f73(x56751),f836(f836(f281(x56751),x56752),x56753)))
% 190.77/190.67 [5676]~P111(x56761)+E(f836(f836(f234(x56761),f836(f70(x56761),x56762)),x56763),f836(f70(x56761),f836(f836(f234(x56761),x56762),x56763)))
% 190.77/190.67 [5774]E(f338(x57741,x57742,x57743),f341(x57741,x57742,x57743))+E(f836(f836(f92(f906(x57743,a895)),x57742),x57741),f178(f906(x57743,a895)))
% 190.77/190.67 [5789]~P74(x57892)+E(f836(f836(f9(x57891,x57892),f836(f16(x57892,x57891),f72(x57892))),x57893),f72(x57892))
% 190.77/190.67 [5790]~P73(x57902)+E(f836(f836(f6(x57901,x57902),f836(f16(x57902,x57901),f2(x57902))),x57903),f2(x57902))
% 190.77/190.67 [5792]~P94(x57921)+E(f836(f836(f23(x57921),f836(f94(x57921),x57922)),f836(f94(x57921),x57923)),f836(f94(x57921),f836(f836(f23(a1),x57922),x57923)))
% 190.77/190.67 [5795]~P144(x57951)+E(f836(f836(f74(x57951),f836(f90(x57951),x57952)),f836(f90(x57951),x57953)),f836(f90(x57951),f836(f836(f74(a899),x57952),x57953)))
% 190.77/190.67 [5796]~P144(x57961)+E(f836(f836(f75(x57961),f836(f90(x57961),x57962)),f836(f90(x57961),x57963)),f836(f90(x57961),f836(f836(f75(a899),x57962),x57963)))
% 190.77/190.67 [5797]~P128(x57971)+E(f836(f836(f23(x57971),f836(f93(x57971),x57972)),f836(f93(x57971),x57973)),f836(f93(x57971),f836(f836(f23(a1),x57972),x57973)))
% 190.77/190.67 [5798]~P128(x57981)+E(f836(f836(f74(x57981),f836(f93(x57981),x57982)),f836(f93(x57981),x57983)),f836(f93(x57981),f836(f836(f74(a1),x57982),x57983)))
% 190.77/190.67 [5799]~P128(x57991)+E(f836(f836(f75(x57991),f836(f93(x57991),x57992)),f836(f93(x57991),x57993)),f836(f93(x57991),f836(f836(f75(a1),x57992),x57993)))
% 190.77/190.67 [5800]~P94(x58001)+E(f836(f836(f74(x58001),f836(f94(x58001),x58002)),f836(f94(x58001),x58003)),f836(f94(x58001),f836(f836(f74(a1),x58002),x58003)))
% 190.77/190.67 [5801]~P94(x58011)+E(f836(f836(f75(x58011),f836(f94(x58011),x58012)),f836(f94(x58011),x58013)),f836(f94(x58011),f836(f836(f75(a1),x58012),x58013)))
% 190.77/190.67 [5849]~E(x58493,x58492)+P1(f836(f836(f224(f906(x58491,a895)),x58492),x58493))
% 190.77/190.67 [5855]~E(x58552,x58553)+P1(f836(f836(f224(f906(x58551,a895)),x58552),x58553))
% 190.77/190.67 [5860]~P66(x58601)+E(f836(f836(f74(x58601),f836(f73(x58601),x58602)),f836(f73(x58601),x58603)),f836(f73(x58601),f836(f836(f74(x58601),x58603),x58602)))
% 190.77/190.67 [5861]~P67(x58611)+E(f836(f836(f74(x58611),f836(f73(x58611),x58612)),f836(f73(x58611),x58613)),f836(f73(x58611),f836(f836(f74(x58611),x58612),x58613)))
% 190.77/190.67 [5862]~P77(x58621)+E(f836(f836(f223(x58621),f836(f73(x58621),x58622)),f836(f73(x58621),x58623)),f836(f73(x58621),f836(f836(f228(x58621),x58622),x58623)))
% 190.77/190.67 [5863]~P77(x58631)+E(f836(f836(f228(x58631),f836(f73(x58631),x58632)),f836(f73(x58631),x58633)),f836(f73(x58631),f836(f836(f223(x58631),x58632),x58633)))
% 190.77/190.67 [5864]~P96(x58641)+E(f836(f836(f92(x58641),f836(f73(x58641),x58642)),f836(f73(x58641),x58643)),f836(f73(x58641),f836(f836(f91(x58641),x58642),x58643)))
% 190.77/190.67 [5865]~P96(x58651)+E(f836(f836(f91(x58651),f836(f73(x58651),x58652)),f836(f73(x58651),x58653)),f836(f73(x58651),f836(f836(f92(x58651),x58652),x58653)))
% 190.77/190.67 [5866]~P111(x58661)+E(f836(f836(f75(x58661),f836(f70(x58661),x58662)),f836(f70(x58661),x58663)),f836(f70(x58661),f836(f836(f75(x58661),x58662),x58663)))
% 190.77/190.67 [5867]~P63(x58671)+E(f836(f836(f281(x58671),f836(f70(x58671),x58672)),f836(f70(x58671),x58673)),f836(f70(x58671),f836(f836(f281(x58671),x58672),x58673)))
% 190.77/190.67 [5868]~P79(x58681)+E(f836(f836(f74(x58681),f836(f155(x58681),x58682)),f836(f155(x58681),x58683)),f836(f155(x58681),f836(f836(f124(x58681),x58682),x58683)))
% 190.77/190.67 [5869]E(x58691,f178(f906(x58692,a895)))+~E(f836(f836(f91(f906(x58692,a895)),x58693),x58691),f178(f906(x58692,a895)))
% 190.77/190.67 [5870]E(x58701,f178(f906(x58702,a895)))+~E(f836(f836(f91(f906(x58702,a895)),x58701),x58703),f178(f906(x58702,a895)))
% 190.77/190.67 [5871]~P148(x58711,x58713,x58712)+P1(f836(x58711,f836(f836(f31(a1),x58712),x58713)))
% 190.77/190.67 [5936]~P1(f836(f29(x59361),x59363))+P1(f836(f29(x59361),f836(f836(f299(x59361),x59362),x59363)))
% 190.77/190.67 [5937]~P1(f836(f127(x59371),x59373))+P1(f836(f127(x59371),f836(f836(f165(x59371),x59372),x59373)))
% 190.77/190.67 [5938]~P1(f836(f127(x59381),x59383))+P1(f836(f127(x59381),f836(f836(f128(x59381),x59382),x59383)))
% 190.77/190.67 [5970]~P108(x59701)+P1(f836(f836(f224(x59701),x59702),f836(f836(f223(x59701),x59703),x59702)))
% 190.77/190.67 [5971]~P108(x59711)+P1(f836(f836(f224(x59711),x59712),f836(f836(f223(x59711),x59712),x59713)))
% 190.77/190.67 [5972]~P98(x59721)+P1(f836(f836(f224(x59721),x59722),f836(f836(f91(x59721),x59723),x59722)))
% 190.77/190.67 [5973]~P99(x59731)+P1(f836(f836(f224(x59731),x59732),f836(f836(f91(x59731),x59733),x59732)))
% 190.77/190.67 [5974]~P98(x59741)+P1(f836(f836(f224(x59741),x59742),f836(f836(f91(x59741),x59742),x59743)))
% 190.77/190.67 [5975]~P99(x59751)+P1(f836(f836(f224(x59751),x59752),f836(f836(f91(x59751),x59752),x59753)))
% 190.77/190.67 [5976]~P112(x59761)+P1(f836(f836(f277(x59761),x59762),f836(f836(f75(x59761),x59763),x59762)))
% 190.77/190.67 [5977]~P112(x59771)+P1(f836(f836(f277(x59771),x59772),f836(f836(f75(x59771),x59772),x59773)))
% 190.77/190.67 [5991]~E(x59911,f2(a899))+E(f836(f836(f31(a899),f836(f836(f75(a899),x59911),x59912)),f836(f836(f75(a899),x59911),x59913)),f2(a899))
% 190.77/190.67 [6073]~P94(x60731)+E(f836(f836(f23(x60731),f836(f94(x60731),x60732)),f836(f94(x60731),x60733)),f836(f94(x60731),f836(f836(f74(a1),x60732),f836(f73(a1),x60733))))
% 190.77/190.67 [6133]E(x61331,f2(a899))+E(f836(f836(f31(a899),f836(f836(f75(a899),x61331),x61332)),f836(f836(f75(a899),x61331),x61333)),f836(f836(f31(a899),x61332),x61333))
% 190.77/190.67 [6163]E(f142(x61631,f836(f836(f141(x61631),x61632),x61633)),f836(f836(f141(x61631),x61632),f142(x61631,x61633)))+P1(f836(f836(f318(x61631),x61632),f836(f162(x61631),x61633)))
% 190.77/190.67 [6199]P148(x61991,x61992,x61993)+~P1(f836(x61991,f836(f836(f31(a1),x61993),x61992)))
% 190.77/190.67 [6275]E(x62751,f103(x62752))+E(f836(f836(f141(x62752),f836(f131(x62752),x62751)),f836(f836(f165(x62752),x62753),f836(f161(x62752),x62751))),f836(f836(f165(x62752),f836(a102,x62753)),x62751))
% 190.77/190.67 [6283]E(f836(f836(f23(f906(x62831,a895)),x62832),x62833),x62832)+~E(f836(f836(f92(f906(x62831,a895)),x62832),x62833),f178(f906(x62831,a895)))
% 190.77/190.67 [6297]E(f142(x62971,f836(f836(f141(x62971),x62972),x62973)),f142(x62971,x62973))+~P1(f836(f836(f318(x62971),x62972),f836(f162(x62971),x62973)))
% 190.77/190.67 [6328]~P1(f836(f836(f224(a899),x63281),x63283))+P1(f836(f836(f224(a899),x63281),f836(f836(f74(a899),x63282),x63283)))
% 190.77/190.67 [6330]~P1(f836(f836(f224(a899),x63301),x63302))+P1(f836(f836(f224(a899),x63301),f836(f836(f74(a899),x63302),x63303)))
% 190.77/190.67 [6332]~P1(f836(f836(f225(a899),x63321),x63323))+P1(f836(f836(f225(a899),x63321),f836(f836(f74(a899),x63322),x63323)))
% 190.77/190.67 [6334]~P1(f836(f836(f225(a899),x63341),x63342))+P1(f836(f836(f225(a899),x63341),f836(f836(f74(a899),x63342),x63343)))
% 190.77/190.67 [6374]P1(f836(f29(x63741),x63742))+~P1(f836(f29(x63741),f836(f836(f299(x63741),x63743),x63742)))
% 190.77/190.67 [6375]P1(f836(f127(x63751),x63752))+~P1(f836(f127(x63751),f836(f836(f141(x63751),x63753),x63752)))
% 190.77/190.67 [6376]P1(f836(f127(x63761),x63762))+~P1(f836(f127(x63761),f836(f836(f124(x63761),x63763),x63762)))
% 190.77/190.67 [6377]P1(f836(f127(x63771),x63772))+~P1(f836(f127(x63771),f836(f836(f124(x63771),x63772),x63773)))
% 190.77/190.67 [6432]~P112(x64321)+E(f836(f836(f74(x64321),x64322),f836(f836(f75(x64321),x64323),x64322)),f836(f836(f75(x64321),f836(f836(f74(x64321),x64323),f72(x64321))),x64322))
% 190.77/190.67 [6479]~E(x64791,x64792)+~P1(f836(f836(f225(f906(x64793,a895)),x64791),x64792))
% 190.77/190.67 [6525]P1(f836(f836(f318(x65251),x65252),x65253))+P1(f836(f836(f318(x65251),x65252),f836(f73(f906(x65251,a895)),x65253)))
% 190.77/190.67 [6532]E(f134(x65321,f836(f836(f128(x65321),x65322),x65323)),f134(x65321,x65323))+~P1(f836(f836(f225(a899),x65322),f836(f179(f900(x65321)),x65323)))
% 190.77/190.67 [6533]E(f836(f836(f165(x65331),x65332),f104(x65331,x65333)),f836(f836(f165(x65331),x65332),x65333))+~P1(f836(f836(f225(a899),x65332),f836(f179(f900(x65331)),x65333)))
% 190.77/190.67 [6593]E(f836(f836(f836(f173(f900(x65931),f900(x65931)),x65932),f157(x65931)),x65933),x65933)+~E(f41(a899,x65932,f836(f179(f900(x65931)),x65933)),f2(a899))
% 190.77/190.67 [6600]~P8(x66001,x66003,x66002)+E(f836(f836(f279(x66001,x66001,x66001),f836(f276(x66001,x66001),x66002)),x66002),x66002)
% 190.77/190.67 [6643]~E(f836(f836(f91(f906(x66431,a895)),x66432),x66433),x66433)+P1(f836(f836(f224(f906(x66431,a895)),x66432),x66433))
% 190.77/190.67 [6648]~P54(x66481,x66481,x66483)+P54(x66481,x66481,f836(f836(f173(f905(x66481,x66481),a895),x66482),x66483))
% 190.77/190.67 [6651]~P1(f836(f836(f318(x66511),x66513),f836(f162(x66511),x66512)))+P1(f836(f836(f225(a899),f2(a899)),f836(f179(f900(x66511)),x66512)))
% 190.77/190.67 [6679]~P86(x66791)+E(f836(f70(x66791),f836(f836(f74(x66791),f836(f70(x66791),x66792)),f836(f70(x66791),x66793))),f836(f836(f74(x66791),f836(f70(x66791),x66792)),f836(f70(x66791),x66793)))
% 190.77/190.67 [6690]E(f836(f836(f31(a899),f836(f836(f75(a899),x66901),x66902)),f836(f836(f75(a899),x66901),x66903)),f836(f836(f31(a899),x66902),x66903))+~P1(f836(f836(f225(a899),f2(a899)),x66901))
% 190.77/190.67 [6834]~P1(f836(f29(x68341),x68343))+E(f836(f836(f59(x68341,f906(x68341,a895),f299(x68341)),x68342),x68343),f836(f836(f91(f906(x68341,a895)),x68343),x68342))
% 190.77/190.67 [6893]E(f836(f836(f91(f906(x68931,a895)),x68932),x68933),x68932)+~P1(f836(f836(f224(f906(x68931,a895)),x68933),x68932))
% 190.77/190.67 [6895]E(f836(f836(f91(f906(x68951,a895)),x68952),x68953),x68953)+~P1(f836(f836(f224(f906(x68951,a895)),x68952),x68953))
% 190.77/190.67 [6896]E(f836(f836(f92(f906(x68961,a895)),x68962),x68963),x68963)+~P1(f836(f836(f224(f906(x68961,a895)),x68963),x68962))
% 190.77/190.67 [6897]E(f836(f836(f92(f906(x68971,a895)),x68972),x68973),x68972)+~P1(f836(f836(f224(f906(x68971,a895)),x68972),x68973))
% 190.77/190.67 [6946]~P1(f836(f127(x69461),x69462))+E(f836(f836(f23(f906(x69461,a895)),f836(f162(x69461),x69462)),f836(f836(f299(x69461),x69463),f178(f906(x69461,a895)))),f836(f162(x69461),f160(x69461,x69463,x69462)))
% 190.77/190.67 [7003]P36(x70031,x70032)+~P36(x70031,f836(f836(f173(f905(x70031,x70031),a895),x70033),x70032))
% 190.77/190.67 [7020]~E(x70201,f2(a899))+P1(f836(f836(f277(a899),f836(f836(f75(a899),x70201),x70202)),f836(f836(f75(a899),x70201),x70203)))
% 190.77/190.67 [7071]P1(f836(f45(x70711,x70712),f836(a47,x70713)))+~P1(f836(f45(f836(f73(a1),x70711),f836(f73(a1),x70712)),x70713))
% 190.77/190.67 [7076]E(f836(f836(f23(f906(x70761,a895)),f836(f836(f299(x70761),x70762),x70763)),f836(f836(f299(x70761),x70762),f178(f906(x70761,a895)))),x70763)+P1(f836(f836(f318(x70761),x70762),x70763))
% 190.77/190.67 [7098]E(f836(f836(f92(f906(x70981,a895)),f836(f162(x70981),x70982)),f836(f162(x70981),x70983)),f178(f906(x70981,a895)))+~P1(f836(f127(x70981),f836(f836(f124(x70981),x70982),x70983)))
% 190.77/190.67 [7113]~P1(f836(f836(f318(x71131),x71132),f836(f162(x71131),x71133)))+~P1(f836(f127(x71131),f836(f836(f141(x71131),x71132),x71133)))
% 190.77/190.67 [7184]P30(x71841,x71842,x71843)+P1(f836(f836(f225(a899),f738(x71843,x71842,x71841)),f836(f179(f900(x71841)),x71843)))
% 190.77/190.67 [7194]E(f836(f836(f92(f906(x71941,a895)),x71942),x71943),f178(f906(x71941,a895)))+P1(f836(f836(f318(x71941),f338(x71943,x71942,x71941)),x71942))
% 190.77/190.67 [7195]E(f836(f836(f92(f906(x71951,a895)),x71952),x71953),f178(f906(x71951,a895)))+P1(f836(f836(f318(x71951),f341(x71953,x71952,x71951)),x71953))
% 190.77/190.67 [7198]E(f104(x71981,f836(f836(f165(x71981),x71982),x71983)),f836(f836(f165(x71981),f836(f836(f23(a899),x71982),f72(a899))),x71983))+~P1(f836(f836(f224(a899),x71982),f836(f179(f900(x71981)),x71983)))
% 190.77/190.67 [7258]~P32(x72583,x72582,x72581)+P1(f836(f836(f225(a899),f732(x72581,x72582,x72583)),f836(f179(f900(x72583)),x72581)))
% 190.77/190.67 [7278]P1(f836(f836(f225(a899),f2(a899)),x72781))+P1(f836(f836(f224(a899),f836(f836(f75(a899),x72782),x72781)),f836(f836(f75(a899),x72783),x72781)))
% 190.77/190.67 [7279]P1(f836(f836(f225(a899),f2(a899)),x72791))+P1(f836(f836(f224(a899),f836(f836(f75(a899),x72791),x72792)),f836(f836(f75(a899),x72791),x72793)))
% 190.77/190.67 [7282]~P1(f836(f836(f318(x72821),x72822),x72823))+~P1(f836(f836(f318(x72821),x72822),f836(f73(f906(x72821,a895)),x72823)))
% 190.77/190.67 [7288]~P1(f836(f836(f225(f906(x72881,a895)),x72882),x72883))+P1(f836(f836(f224(f906(x72881,a895)),x72882),x72883))
% 190.77/190.67 [7394]~P1(f836(f836(f224(a899),x73943),x73942))+P1(f836(f836(f224(a899),f836(f836(f23(a899),x73941),x73942)),f836(f836(f23(a899),x73941),x73943)))
% 190.77/190.67 [7395]~P1(f836(f836(f224(a899),x73951),x73953))+P1(f836(f836(f224(a899),f836(f836(f23(a899),x73951),x73952)),f836(f836(f23(a899),x73953),x73952)))
% 190.77/190.67 [7396]~P1(f836(f836(f224(a899),x73962),x73963))+P1(f836(f836(f224(a899),f836(f836(f74(a899),x73961),x73962)),f836(f836(f74(a899),x73961),x73963)))
% 190.77/190.67 [7397]~P1(f836(f836(f224(a899),x73971),x73973))+P1(f836(f836(f224(a899),f836(f836(f74(a899),x73971),x73972)),f836(f836(f74(a899),x73973),x73972)))
% 190.77/190.68 [7399]~P1(f836(f836(f224(a899),x73992),x73993))+P1(f836(f836(f224(a899),f836(f836(f75(a899),x73991),x73992)),f836(f836(f75(a899),x73991),x73993)))
% 190.77/190.68 [7401]~P1(f836(f836(f224(a899),x74011),x74013))+P1(f836(f836(f224(a899),f836(f836(f75(a899),x74011),x74012)),f836(f836(f75(a899),x74013),x74012)))
% 190.77/190.68 [7402]~P1(f836(f836(f224(a899),x74021),x74023))+P1(f836(f836(f224(a899),f836(f836(f31(a899),x74021),x74022)),f836(f836(f31(a899),x74023),x74022)))
% 190.77/190.68 [7403]~P1(f836(f836(f224(a1),x74032),x74033))+P1(f836(f836(f224(a1),f836(f836(f74(a1),x74031),x74032)),f836(f836(f74(a1),x74031),x74033)))
% 190.77/190.68 [7406]~P1(f836(f836(f225(a899),x74062),x74063))+P1(f836(f836(f225(a899),f836(f836(f74(a899),x74061),x74062)),f836(f836(f74(a899),x74061),x74063)))
% 190.77/190.68 [7407]~P1(f836(f836(f225(a899),x74071),x74073))+P1(f836(f836(f225(a899),f836(f836(f74(a899),x74071),x74072)),f836(f836(f74(a899),x74073),x74072)))
% 190.77/190.68 [7408]~P1(f836(f836(f225(a1),x74081),x74083))+P1(f836(f836(f225(a1),f836(f836(f74(a1),x74081),x74082)),f836(f836(f74(a1),x74083),x74082)))
% 190.77/190.68 [7411]~P1(f836(f836(f277(a899),x74112),x74113))+P1(f836(f836(f277(a899),f836(f836(f75(a899),x74111),x74112)),f836(f836(f75(a899),x74111),x74113)))
% 190.77/190.68 [7489]E(x74891,x74892)+~P1(f836(f836(f318(x74893),x74891),f836(f836(f299(x74893),x74892),f178(f906(x74893,a895)))))
% 190.77/190.68 [7491]~E(f836(f836(f92(f906(x74911,a895)),x74912),x74913),f178(f906(x74911,a895)))+P1(f836(f836(f224(f906(x74911,a895)),x74912),f836(f73(f906(x74911,a895)),x74913)))
% 190.77/190.68 [7496]P1(f836(f836(f318(f906(x74961,a895)),x74962),f836(f298(x74961),x74963)))+~P1(f836(f836(f224(f906(x74961,a895)),x74962),x74963))
% 190.77/190.68 [7547]E(f836(f836(f141(x75471),f836(f836(f154(x75471),x75472),x75473)),f836(f836(f128(x75471),f836(a102,x75473)),x75472)),f836(f836(f128(x75471),x75473),x75472))+~P1(f836(f836(f225(a899),x75473),f836(f179(f900(x75471)),x75472)))
% 190.77/190.68 [7572]P1(f836(f836(f318(f905(x75721,x75721)),x75722),f297(x75721,x75723)))+~P1(f836(f836(f318(f905(x75721,x75721)),x75722),x75723))
% 190.77/190.68 [7581]~P1(f836(f836(f318(f906(x75811,a895)),x75812),f836(f298(x75811),x75813)))+P1(f836(f836(f224(f906(x75811,a895)),x75812),x75813))
% 190.77/190.68 [7626]P1(f836(f836(f224(f906(x76261,a895)),x76262),f32(f906(x76261,a895),x76263)))+~P1(f836(f836(f318(f906(x76261,a895)),x76262),x76263))
% 190.77/190.68 [7651]~P128(x76511)+E(f836(f836(f75(x76511),f836(f836(f234(x76511),f836(f73(x76511),f72(x76511))),x76512)),f836(f836(f234(x76511),x76513),x76512)),f836(f836(f234(x76511),f836(f73(x76511),x76513)),x76512))
% 190.77/190.68 [7673]E(f836(f836(f154(x76731),x76732),f836(f836(f23(a899),f836(f179(f900(x76731)),x76732)),f836(a102,x76733))),f836(f836(f154(x76731),f836(f158(x76731),x76732)),x76733))+~P1(f836(f836(f225(a899),x76733),f836(f179(f900(x76731)),x76732)))
% 190.77/190.68 [7690]~E(f836(f836(f92(f906(x76901,a895)),f580(x76903,x76902,x76901)),x76903),f178(f906(x76901,a895)))+E(f836(f836(f92(f906(x76901,a895)),f32(f906(x76901,a895),x76902)),x76903),f178(f906(x76901,a895)))
% 190.77/190.68 [7754]~P1(f836(f836(f318(x77543),x77542),f836(f162(x77543),x77541)))+P1(f836(f836(f225(a899),f631(x77541,x77542,x77543)),f836(f179(f900(x77543)),x77541)))
% 190.77/190.68 [7762]P1(f836(f836(f318(x77621),f836(f836(f154(x77621),x77622),x77623)),f836(f162(x77621),x77622)))+~P1(f836(f836(f225(a899),x77623),f836(f179(f900(x77621)),x77622)))
% 190.77/190.68 [7860]~P1(f836(x78602,f695(x78603,x78602,x78601)))+E(f836(f836(f128(x78601),f836(f179(f900(x78601)),f167(x78601,x78602,x78603))),x78603),f103(x78601))
% 190.77/190.68 [7873]P1(f836(f836(f224(f906(f900(x78731),a895)),f151(x78731,x78732)),f151(x78731,x78733)))+~P1(f836(f836(f224(f906(x78731,a895)),x78732),x78733))
% 190.77/190.68 [7874]P1(f836(f836(f224(f906(f900(x78741),a895)),f150(x78741,x78742)),f150(x78741,x78743)))+~P1(f836(f836(f224(f906(x78741,a895)),x78742),x78743))
% 190.77/190.68 [7901]E(f836(f836(f92(f906(x79011,a895)),f32(f906(x79011,a895),x79012)),x79013),f178(f906(x79011,a895)))+P1(f836(f836(f318(f906(x79011,a895)),f580(x79013,x79012,x79011)),x79012))
% 190.77/190.68 [7903]~P1(f836(f836(f318(f906(x79031,a895)),x79033),x79032))+P1(f836(f836(f224(f906(x79031,a895)),f33(f906(x79031,a895),x79032)),x79033))
% 190.77/190.68 [7905]E(f836(f836(f92(f906(x79051,a895)),x79052),x79053),f178(f906(x79051,a895)))+~P1(f836(f836(f224(f906(x79051,a895)),x79052),f836(f73(f906(x79051,a895)),x79053)))
% 190.77/190.68 [7954]E(f836(f836(f23(a899),f836(f836(f74(a899),f836(f155(a899),x79541)),x79542)),f836(f836(f154(a899),x79541),x79543)),f836(f155(a899),f836(f836(f149(a899,x79541),x79543),x79542)))+~P1(f836(f836(f225(a899),x79543),f836(f179(f900(a899)),x79541)))
% 190.77/190.68 [8005]P1(f836(f836(f224(a899),x80051),x80052))+~P1(f836(f836(f224(a899),f836(f836(f74(a899),x80053),x80051)),f836(f836(f74(a899),x80053),x80052)))
% 190.77/190.68 [8008]P1(f836(f836(f225(a899),x80081),x80082))+~P1(f836(f836(f225(a899),f836(f836(f74(a899),x80083),x80081)),f836(f836(f74(a899),x80083),x80082)))
% 190.77/190.68 [8009]P1(f836(f836(f225(a899),x80091),x80092))+~P1(f836(f836(f225(a899),f836(f836(f75(a899),x80093),x80091)),f836(f836(f75(a899),x80093),x80092)))
% 190.77/190.68 [8010]P1(f836(f836(f225(a899),x80101),x80102))+~P1(f836(f836(f225(a899),f836(f836(f75(a899),x80101),x80103)),f836(f836(f75(a899),x80102),x80103)))
% 190.77/190.68 [8039]P1(f836(f836(f225(a899),f2(a899)),x80391))+~P1(f836(f836(f225(a899),f836(f836(f75(a899),x80392),x80391)),f836(f836(f75(a899),x80393),x80391)))
% 190.77/190.68 [8040]P1(f836(f836(f225(a899),f2(a899)),x80401))+~P1(f836(f836(f225(a899),f836(f836(f75(a899),x80401),x80402)),f836(f836(f75(a899),x80401),x80403)))
% 190.77/190.68 [8113]E(f237(x81131,x81132,x81133),x81132)+~P1(f836(f836(f224(f906(x81131,a895)),x81133),f836(f836(f299(x81131),x81132),f178(f906(x81131,a895)))))
% 190.77/190.68 [8163]~P1(f836(f127(x81631),x81633))+E(f836(f126(x81631,f836(f836(f8(a895,a895,x81631),a312),f836(a314,x81632))),x81633),f160(x81631,x81632,x81633))
% 190.77/190.68 [8188]E(f836(f836(f128(x81881),f836(f179(f900(x81881)),f167(x81881,x81882,x81883))),x81883),f103(x81881))+P1(f836(f836(f318(x81881),f695(x81883,x81882,x81881)),f836(f162(x81881),x81883)))
% 190.77/190.68 [8192]E(f836(f836(f124(x81921),f836(f836(f165(x81921),x81922),x81923)),f836(f836(f141(x81921),f836(f836(f154(x81921),x81923),x81922)),f103(x81921))),f836(f836(f165(x81921),f836(a102,x81922)),x81923))+~P1(f836(f836(f225(a899),x81922),f836(f179(f900(x81921)),x81923)))
% 190.77/190.68 [8259]E(f836(f126(x82591,f836(f836(f8(a895,a895,x82591),a312),f836(a314,x82592))),x82593),x82593)+P1(f836(f836(f318(x82591),x82592),f836(f162(x82591),x82593)))
% 190.77/190.68 [8265]P1(f836(f836(f224(f906(f906(x82651,a895),a895)),f238(x82651,x82652)),f238(x82651,x82653)))+~P1(f836(f836(f224(f906(x82651,a895)),x82652),x82653))
% 190.77/190.68 [8304]~P1(f836(f127(x83041),x83043))+P1(f836(f127(x83041),f836(f836(f836(f173(f900(x83041),f900(x83041)),x83042),f157(x83041)),x83043)))
% 190.77/190.68 [8310]~P1(f836(f836(f225(a899),x83102),x83103))+P1(f836(f836(f225(a899),f836(f836(f75(a899),f836(a102,x83101)),x83102)),f836(f836(f75(a899),f836(a102,x83101)),x83103)))
% 190.77/190.68 [8330]P1(f836(f836(f224(f906(f906(x83301,a895),a895)),f836(f298(x83301),x83302)),f836(f298(x83301),x83303)))+~P1(f836(f836(f224(f906(x83301,a895)),x83302),x83303))
% 190.77/190.68 [8400]~E(f836(f300(x84001,x84002,x84003),f232(f906(x84001,a895))),f232(f906(x84002,a895)))+E(f836(f67(x84001,x84002,x84002,x84003),f85(x84001,x84002,f232(f906(x84001,a895)),x84003)),f25(x84002))
% 190.77/190.68 [8494]~P1(f836(f836(f224(f906(x84941,a895)),x84943),x84942))+P1(f836(f836(f224(f906(x84941,a895)),f836(f73(f906(x84941,a895)),x84942)),f836(f73(f906(x84941,a895)),x84943)))
% 190.77/190.68 [8528]E(f836(f300(a899,a899,f836(f836(f7(a899,a899,a899),f23(a899)),x85281)),f836(f292(a899,x85282),x85283)),f836(f292(a899,f836(f836(f23(a899),x85282),x85281)),f836(f836(f23(a899),x85283),x85281)))+~P1(f836(f836(f225(a899),x85281),x85283))
% 190.77/190.68 [8554]~P79(x85541)+E(f836(f836(f74(x85541),x85542),f836(f132(x85541,x85541,f74(x85541),f2(x85541)),x85543)),f836(f132(x85541,x85541,f74(x85541),x85542),x85543))
% 190.77/190.68 [8630]~P86(x86301)+P1(f836(f836(f224(x86301),f836(f70(x86301),f836(f836(f23(x86301),x86302),x86303))),f836(f836(f74(x86301),f836(f70(x86301),x86302)),f836(f70(x86301),x86303))))
% 190.77/190.68 [8631]~P86(x86311)+P1(f836(f836(f224(x86311),f836(f70(x86311),f836(f836(f74(x86311),x86312),x86313))),f836(f836(f74(x86311),f836(f70(x86311),x86312)),f836(f70(x86311),x86313))))
% 190.77/190.68 [8642]E(f836(f836(f74(a1),f836(f836(f75(a1),x86421),f41(a1,f836(f836(f31(a1),x86422),x86421),x86423))),f41(a1,x86422,x86421)),f41(a1,x86422,f836(f836(f75(a1),x86421),x86423)))+~P1(f836(f836(f225(a1),f2(a1)),x86423))
% 190.77/190.68 [8648]E(f836(f836(f124(x86481),f836(f836(f165(x86481),x86482),x86483)),f836(f836(f141(x86481),f836(f131(x86481),f836(f836(f128(x86481),x86482),x86483))),f103(x86481))),f836(f836(f165(x86481),f836(a102,x86482)),x86483))+~P1(f836(f836(f225(a899),x86482),f836(f179(f900(x86481)),x86483)))
% 190.77/190.68 [8668]E(f836(f258(x86681,f836(f836(f144(x86681,f905(a89,x86681)),f836(f242(a89,x86681),f72(a89))),x86682)),f836(a3,x86683)),f836(f836(f154(x86681),x86682),x86683))+~P1(f836(f836(f225(a899),x86683),f836(f179(f900(x86681)),x86682)))
% 190.77/190.68 [8736]P1(f836(f836(f318(f905(x87361,x87361)),x87362),f836(f836(f279(x87361,x87361,x87361),x87363),f297(x87361,x87363))))+~P1(f836(f836(f318(f905(x87361,x87361)),x87362),x87363))
% 190.77/190.68 [8747]E(f836(f300(x87471,x87472,x87473),f232(f906(x87471,a895))),f232(f906(x87472,a895)))+~E(f836(f67(x87471,x87472,x87472,x87473),f85(x87471,x87472,f232(f906(x87471,a895)),x87473)),f25(x87472))
% 190.77/190.68 [8756]P1(f836(f836(f224(a899),x87561),x87562))+~P1(f836(f836(f224(a899),f836(f836(f75(a899),f836(a102,x87563)),x87561)),f836(f836(f75(a899),f836(a102,x87563)),x87562)))
% 190.77/190.68 [8772]P1(f836(f836(f224(f906(x87721,a895)),x87722),x87723))+~P1(f836(f836(f224(f906(x87721,a895)),f836(f73(f906(x87721,a895)),x87723)),f836(f73(f906(x87721,a895)),x87722)))
% 190.77/190.68 [8795]P1(f836(f127(x87951),x87952))+~P1(f836(f127(x87951),f836(f836(f836(f173(f900(x87951),f900(x87951)),x87953),f157(x87951)),x87952)))
% 190.77/190.68 [8868]E(f836(f275(x88681,x88681,f297(x88681,x88682)),x88683),x88683)+~P1(f836(f836(f224(f906(x88681,a895)),f836(f275(x88681,x88681,x88682),x88683)),x88683))
% 190.77/190.68 [8916]~P108(x89161)+P13(x89161,f836(f126(x89161,f836(f836(f7(x89161,x89161,a895),a314),f836(x89162,x89163))),x89163))
% 190.77/190.68 [8923]~P1(f836(f836(f224(a899),x89231),x89232))+P1(f836(f836(f224(a899),x89231),f836(f132(a899,a899,f74(a899),x89232),x89233)))
% 190.77/190.68 [9009]~P1(f836(f836(f318(f905(x90091,x90091)),x90092),f297(x90091,x90093)))+P1(f836(f836(f318(f905(x90091,x90091)),x90092),f836(f836(f173(f905(x90091,x90091),a895),f557(x90093,x90092,x90091)),x90093)))
% 190.77/190.68 [9090]~P79(x90901)+E(f836(f836(f74(x90901),x90902),f836(f132(x90901,x90901,f836(f7(x90901,x90901,x90901),f74(x90901)),f2(x90901)),f836(f158(x90901),x90903))),f836(f132(x90901,x90901,f74(x90901),x90902),x90903))
% 190.77/190.68 [9208]~P25(x92082,x92081,x92083,f232(f906(x92082,a895)),f232(f906(x92081,a895)))+E(f85(x92081,x92082,f232(f906(x92081,a895)),f85(x92082,x92081,f232(f906(x92082,a895)),x92083)),x92083)
% 190.77/190.68 [9363]P54(x93631,x93632,x93633)+P1(f836(f836(f318(f905(x93631,x93632)),f836(f836(f242(x93631,x93632),f558(x93633,x93632,x93631)),f554(x93633,x93632,x93631))),x93633))
% 190.77/190.68 [9364]P54(x93641,x93642,x93643)+P1(f836(f836(f318(f905(x93641,x93642)),f836(f836(f242(x93641,x93642),f558(x93643,x93642,x93641)),f553(x93643,x93642,x93641))),x93643))
% 190.77/190.68 [9435]~P1(f836(f836(f318(f905(x94351,x94351)),x94352),f836(f836(f279(x94351,x94351,x94351),x94353),f297(x94351,x94353))))+P1(f836(f836(f318(f905(x94351,x94351)),x94352),f836(f836(f173(f905(x94351,x94351),a895),f560(x94353,x94352,x94351)),x94353)))
% 190.77/190.68 [9436]~P1(f836(x94361,f836(f836(f154(x94362),x94363),f836(f179(f900(x94362)),f167(x94362,x94361,x94363)))))+~P1(f836(f836(f225(a899),f836(f179(f900(x94362)),f167(x94362,x94361,x94363))),f836(f179(f900(x94362)),x94363)))
% 190.77/190.68 [9527]~P1(f836(f836(f224(f906(x95271,a895)),x95272),x95273))+P1(f836(f836(f224(f906(x95271,a895)),f836(f836(f7(x95271,f906(x95271,a895),a895),f318(x95271)),x95272)),f836(f836(f7(x95271,f906(x95271,a895),a895),f318(x95271)),x95273)))
% 190.77/190.68 [9589]~P1(f836(f836(f318(f905(f906(x95891,a895),f906(x95891,a895))),f836(f836(f242(f906(x95891,a895),f906(x95891,a895)),x95892),x95893)),f304(x95891)))+P1(f836(f836(f225(f906(x95891,a895)),x95892),x95893))
% 190.77/190.68 [9617]P55(x96171,x96172,x96173)+~P1(f836(f836(f318(f905(x96171,x96171)),f836(f836(f242(x96171,x96171),f535(x96173,x96172,x96171)),f534(x96173,x96172,x96171))),x96173))
% 190.77/190.68 [9618]P55(x96181,x96182,x96183)+~P1(f836(f836(f318(f905(x96181,x96181)),f836(f836(f242(x96181,x96181),f534(x96183,x96182,x96181)),f535(x96183,x96182,x96181))),x96183))
% 190.77/190.68 [9655]~P1(f836(f836(f318(f905(f900(x96551),f900(x96551))),f836(f836(f242(f900(x96551),f900(x96551)),x96552),x96552)),f137(x96551,x96553)))+P1(f836(f836(f318(f905(x96551,x96551)),f836(f836(f242(x96551,x96551),f634(x96552,x96553,x96551)),f634(x96552,x96553,x96551))),x96553))
% 190.77/190.68 [9705]P1(f836(f836(f224(f906(x97051,a895)),x97052),x97053))+~P1(f836(f836(f224(f906(x97051,a895)),f836(f836(f7(x97051,f906(x97051,a895),a895),f318(x97051)),x97052)),f836(f836(f7(x97051,f906(x97051,a895),a895),f318(x97051)),x97053)))
% 190.77/190.68 [9786]E(f836(f836(f23(a899),f836(f836(f6(a899,a899),x97861),f836(f272(a899),x97862))),f836(f836(f6(a899,a899),x97863),f836(f272(a899),x97862))),f836(f836(f6(a899,a899),f836(f836(f18(a899,a899,a899),f836(f836(f8(a899,f906(a899,a899),a899),f23(a899)),x97861)),x97863)),f836(f272(a899),x97862)))+~P1(f836(f836(f224(a899),f836(x97863,f408(x97862,x97861,x97863))),f836(x97861,f408(x97862,x97861,x97863))))
% 190.77/190.68 [5710]~P66(x57101)+E(f836(f836(f23(x57101),f836(f836(f74(x57101),x57102),x57103)),x57103),x57102)
% 190.77/190.68 [5711]~P66(x57111)+E(f836(f836(f74(x57111),f836(f836(f23(x57111),x57112),x57113)),x57113),x57112)
% 190.77/190.68 [5945]~P66(x59451)+E(f836(f836(f74(x59451),x59452),f836(f836(f74(x59451),f836(f73(x59451),x59452)),x59453)),x59453)
% 190.77/190.68 [6034]~P80(x60341)+E(f836(f836(f75(x60341),f836(f836(f234(x60341),x60342),x60343)),x60342),f836(f836(f234(x60341),x60342),f836(a102,x60343)))
% 190.77/190.68 [6035]~P112(x60351)+E(f836(f836(f75(x60351),f836(f836(f234(x60351),x60352),x60353)),x60352),f836(f836(f234(x60351),x60352),f836(a102,x60353)))
% 190.77/190.68 [6259]~P111(x62591)+E(f836(f70(x62591),f836(f836(f234(x62591),f836(f73(x62591),x62592)),x62593)),f836(f70(x62591),f836(f836(f234(x62591),x62592),x62593)))
% 190.77/190.68 [6305]~P80(x63051)+E(f836(f836(f75(x63051),f836(f836(f234(x63051),x63052),x63053)),x63052),f836(f836(f75(x63051),x63052),f836(f836(f234(x63051),x63052),x63053)))
% 190.77/190.68 [6365]E(f836(f836(f23(a89),f836(f836(f74(a89),x63651),x63652)),x63653),f264(x63651,x63652,x63653))+~P1(f836(f836(f225(a89),x63652),x63653))
% 190.77/190.68 [6390]~E(f836(f836(f128(x63901),x63903),x63902),f103(x63901))+P1(f836(f836(f224(a899),f836(f179(f900(x63901)),x63902)),x63903))
% 190.77/190.68 [6530]E(f836(f836(f75(a899),f836(f94(a899),x65301)),f836(f836(f75(a899),f836(f94(a899),x65302)),x65303)),f2(a899))+~P1(f836(f836(f225(a1),x65301),a77))
% 190.77/190.68 [6547]~P61(x65471)+E(f836(f836(f234(x65471),f836(f836(f281(x65471),f72(x65471)),x65472)),x65473),f836(f836(f281(x65471),f72(x65471)),f836(f836(f234(x65471),x65472),x65473)))
% 190.77/190.68 [6629]E(f836(f836(f23(a899),f836(f836(f74(a899),x66291),x66292)),x66293),f836(f836(f23(a899),x66291),f836(f836(f23(a899),x66293),x66292)))+~P1(f836(f836(f224(a899),x66292),x66293))
% 190.77/190.68 [6631]E(f836(f836(f23(a899),f836(f836(f74(a899),x66311),x66312)),x66313),f836(f836(f74(a899),x66311),f836(f836(f23(a899),x66312),x66313)))+~P1(f836(f836(f224(a899),x66313),x66312))
% 190.77/190.68 [6670]~P108(x66701)+P1(f836(f836(f224(x66701),f836(f836(f228(x66701),x66702),x66703)),x66703))
% 190.77/190.68 [6671]~P108(x66711)+P1(f836(f836(f224(x66711),f836(f836(f228(x66711),x66712),x66713)),x66712))
% 190.77/190.68 [6672]~P99(x66721)+P1(f836(f836(f224(x66721),f836(f836(f92(x66721),x66722),x66723)),x66723))
% 190.77/190.68 [6673]~P104(x66731)+P1(f836(f836(f224(x66731),f836(f836(f92(x66731),x66732),x66733)),x66733))
% 190.77/190.68 [6674]~P99(x66741)+P1(f836(f836(f224(x66741),f836(f836(f92(x66741),x66742),x66743)),x66742))
% 190.77/190.68 [6675]~P104(x66751)+P1(f836(f836(f224(x66751),f836(f836(f92(x66751),x66752),x66753)),x66752))
% 190.77/190.68 [6689]E(f836(f836(f31(a1),f836(f836(f31(a1),x66891),x66892)),x66893),f836(f836(f31(a1),x66891),f836(f836(f75(a1),x66892),x66893)))+~P1(f836(f836(f225(a1),f2(a1)),x66893))
% 190.77/190.68 [6743]~P112(x67431)+E(f836(f836(f74(x67431),f836(f836(f75(x67431),x67432),x67433)),x67433),f836(f836(f75(x67431),f836(f836(f74(x67431),x67432),f72(x67431))),x67433))
% 190.77/190.68 [6744]~P94(x67441)+E(f836(f836(f75(x67441),f836(f73(x67441),f836(f94(x67441),x67442))),x67443),f836(f836(f75(x67441),f836(f94(x67441),f836(f73(a1),x67442))),x67443))
% 190.77/190.68 [6818]~P79(x68181)+E(f836(f155(x68181),f836(f836(f144(x68182,x68181),f836(f16(x68181,x68182),f2(x68181))),x68183)),f2(x68181))
% 190.77/190.68 [6836]E(f836(f836(f74(a899),f836(f94(a899),x68361)),f836(f836(f74(a899),f836(f94(a899),x68362)),x68363)),f836(f836(f74(a899),f836(f94(a899),x68362)),x68363))+~P1(f836(a183,f836(f94(a1),x68361)))
% 190.77/190.68 [6851]~P5(x68511)+E(f33(x68511,f836(f836(f299(x68511),x68512),f836(f836(f299(x68511),x68513),f178(f906(x68511,a895))))),f836(f836(f92(x68511),x68512),x68513))
% 190.77/190.68 [6852]~P5(x68521)+E(f32(x68521,f836(f836(f299(x68521),x68522),f836(f836(f299(x68521),x68523),f178(f906(x68521,a895))))),f836(f836(f91(x68521),x68522),x68523))
% 190.77/190.68 [6876]E(f836(f836(f165(x68761),x68762),x68763),x68763)+~P1(f836(f836(f224(a899),f836(f179(f900(x68761)),x68763)),x68762))
% 190.77/190.68 [6888]E(f836(f836(f128(x68881),x68882),x68883),f103(x68881))+~P1(f836(f836(f224(a899),f836(f179(f900(x68881)),x68883)),x68882))
% 190.77/190.68 [6899]E(f836(f836(f74(a899),f836(f836(f23(a899),x68991),x68992)),x68993),f836(f836(f23(a899),f836(f836(f74(a899),x68991),x68993)),x68992))+~P1(f836(f836(f224(a899),x68992),x68991))
% 190.77/190.68 [6913]~P1(f836(f836(f225(a899),x69131),x69133))+P1(f836(f836(f225(a899),f836(f836(f23(a899),x69131),x69132)),x69133))
% 190.77/190.68 [6940]~P108(x69401)+E(f160(x69401,x69402,f836(f836(f138(x69401,x69401,f5(x69401)),x69402),x69403)),x69403)
% 190.77/190.68 [7033]E(f836(f836(f23(a899),f836(f836(f74(a899),x70331),x70332)),f836(a102,x70333)),f836(f836(f23(a899),x70331),f836(a102,f836(f836(f23(a899),x70333),x70332))))+~P1(f836(f836(f224(a899),x70332),x70333))
% 190.77/190.68 [7034]~P111(x70341)+P1(f836(f836(f224(x70341),f2(x70341)),f836(f836(f234(x70341),f836(f70(x70341),x70342)),x70343)))
% 190.77/190.68 [7125]~P1(f836(f29(x71251),x71252))+P1(f836(f29(x71251),f836(f836(f23(f906(x71251,a895)),x71252),x71253)))
% 190.77/190.68 [7126]~P1(f836(f29(x71261),x71263))+P1(f836(f29(x71261),f836(f836(f92(f906(x71261,a895)),x71262),x71263)))
% 190.77/190.68 [7127]~P1(f836(f29(x71271),x71272))+P1(f836(f29(x71271),f836(f836(f92(f906(x71271,a895)),x71272),x71273)))
% 190.77/190.68 [7268]~P36(x72681,x72683)+P36(x72681,f836(f836(f92(f906(f905(x72681,x72681),a895)),x72682),x72683))
% 190.77/190.68 [7269]~P36(x72691,x72692)+P36(x72691,f836(f836(f92(f906(f905(x72691,x72691),a895)),x72692),x72693))
% 190.77/190.68 [7390]~P108(x73901)+E(f14(x73901,f836(f162(x73901),f836(f836(f141(x73901),x73902),x73903))),f836(f132(x73901,x73901,f228(x73901),x73902),x73903))
% 190.77/190.68 [7391]~P108(x73911)+E(f15(x73911,f836(f162(x73911),f836(f836(f141(x73911),x73912),x73913))),f836(f132(x73911,x73911,f223(x73911),x73912),x73913))
% 190.77/190.68 [7392]~P99(x73921)+E(f13(x73921,f836(f162(x73921),f836(f836(f141(x73921),x73922),x73923))),f836(f132(x73921,x73921,f91(x73921),x73922),x73923))
% 190.77/190.68 [7393]~P99(x73931)+E(f10(x73931,f836(f162(x73931),f836(f836(f141(x73931),x73932),x73933))),f836(f132(x73931,x73931,f92(x73931),x73932),x73933))
% 190.77/190.68 [7457]~P1(f836(f29(x74571),x74572))+P1(f836(f836(f224(a899),f836(f30(x74571),x74572)),f836(f30(x74571),f836(f836(f299(x74571),x74573),x74572))))
% 190.77/190.68 [7464]E(f836(f836(f91(f906(a899,a895)),f836(f292(a899,x74641),x74642)),f836(f292(a899,x74642),f836(f836(f74(a899),x74642),x74643))),f836(f292(a899,x74641),f836(f836(f74(a899),x74642),x74643)))+~P1(f836(f836(f224(a899),x74641),x74642))
% 190.77/190.68 [7473]P1(f836(f836(f224(a899),x74731),x74732))+~P1(f836(f836(f224(a899),f836(f836(f74(a899),x74733),x74731)),x74732))
% 190.77/190.68 [7474]P1(f836(f836(f224(a899),x74741),x74742))+~P1(f836(f836(f224(a899),f836(f836(f74(a899),x74741),x74743)),x74742))
% 190.77/190.68 [7475]P1(f836(f836(f225(a899),x74751),x74752))+~P1(f836(f836(f225(a899),f836(f836(f74(a899),x74751),x74753)),x74752))
% 190.77/190.68 [7515]~P108(x75151)+E(f11(x75151,f228(x75151),f836(f162(x75151),f836(f836(f141(x75151),x75152),x75153))),f836(f132(x75151,x75151,f228(x75151),x75152),x75153))
% 190.77/190.68 [7516]~P108(x75161)+E(f12(x75161,f223(x75161),f836(f162(x75161),f836(f836(f141(x75161),x75162),x75163))),f836(f132(x75161,x75161,f223(x75161),x75162),x75163))
% 190.77/190.68 [7520]~E(x75202,f178(f906(f905(x75201,x75201),a895)))+P1(f836(f836(f224(f906(f905(x75201,x75201),a895)),x75202),x75203))
% 190.77/190.68 [7619]E(f836(f836(f91(f906(x76191,a895)),x76192),f836(f836(f23(f906(x76191,a895)),x76193),x76192)),x76193)+~P1(f836(f836(f224(f906(x76191,a895)),x76192),x76193))
% 190.77/190.68 [7622]~P1(f836(f836(f224(a899),x76221),f836(f836(f74(a899),x76223),x76222)))+P1(f836(f836(f224(a899),f836(f836(f23(a899),x76221),x76222)),x76223))
% 190.77/190.68 [7623]~P1(f836(f836(f225(a899),x76231),f836(f836(f23(a899),x76233),x76232)))+P1(f836(f836(f225(a899),f836(f836(f74(a899),x76231),x76232)),x76233))
% 190.77/190.68 [7680]E(x76801,f103(x76802))+E(f836(f131(x76802),f836(f836(f836(f173(f900(x76802),f900(x76802)),x76803),f157(x76802)),x76801)),f836(f836(f154(x76802),x76801),f41(a899,x76803,f836(f179(f900(x76802)),x76801))))
% 190.77/190.68 [7689]E(f836(f836(f299(x76891),x76892),f836(f836(f23(f906(x76891,a895)),x76893),f836(f836(f299(x76891),x76892),f178(f906(x76891,a895))))),x76893)+~P1(f836(f836(f318(x76891),x76892),x76893))
% 190.77/190.68 [7851]P1(f836(f836(f224(a899),x78511),f836(f836(f74(a899),x78512),x78513)))+~P1(f836(f836(f224(a899),f836(f836(f23(a899),x78511),x78513)),x78512))
% 190.77/190.68 [7852]P1(f836(f836(f225(a899),x78521),f836(f836(f23(a899),x78522),x78523)))+~P1(f836(f836(f225(a899),f836(f836(f74(a899),x78521),x78523)),x78522))
% 190.77/190.68 [7878]P1(f836(f29(x78781),x78782))+~P1(f836(f29(x78781),f836(f836(f91(f906(x78781,a895)),x78783),x78782)))
% 190.77/190.68 [7879]P1(f836(f29(x78791),x78792))+~P1(f836(f29(x78791),f836(f836(f91(f906(x78791,a895)),x78792),x78793)))
% 190.77/190.68 [7953]~P45(x79531,x79533)+P1(f836(f836(f318(f905(x79531,x79531)),f836(f836(f242(x79531,x79531),x79532),x79532)),x79533))
% 190.77/190.68 [8086]E(f836(f836(f154(a899),f129(a899,f836(f292(a899,x80861),x80862))),x80863),f836(f836(f74(a899),x80861),x80863))+~P1(f836(f836(f225(a899),f836(f836(f74(a899),x80861),x80863)),x80862))
% 190.77/190.68 [8152]E(f836(f836(f165(a899),x81521),f129(a899,f836(f292(a899,x81522),x81523))),f129(a899,f836(f292(a899,x81522),f836(f836(f74(a899),x81522),x81521))))+~P1(f836(f836(f224(a899),f836(f836(f74(a899),x81522),x81521)),x81523))
% 190.77/190.68 [8209]~P94(x82091)+E(f836(f836(f234(x82091),x82092),f836(f94(a899),f836(f836(f74(a1),x82093),x82093))),f836(f836(f80(x82091,x82091),f836(f836(f234(x82091),x82092),f836(f94(a899),x82093))),f836(f836(f18(x82091,x82091,x82091),f75(x82091)),f5(x82091))))
% 190.77/190.68 [8475]E(f836(f836(f124(x84751),f836(f836(f165(x84751),x84752),x84753)),f836(f836(f141(x84751),f836(f836(f154(x84751),x84753),x84752)),f836(f836(f128(x84751),f836(a102,x84752)),x84753))),x84753)+~P1(f836(f836(f225(a899),x84752),f836(f179(f900(x84751)),x84753)))
% 190.77/190.68 [8482]P1(f836(f836(f224(f906(x84821,a895)),f305(x84821,x84822)),f305(x84821,x84823)))+~P1(f836(f836(f224(f906(x84821,f906(x84821,a895))),x84823),x84822))
% 190.77/190.68 [8483]~P55(x84831,x84832,x84833)+P55(x84831,x84832,f836(f836(f23(f906(f905(x84831,x84831),a895)),x84833),f297(x84831,f178(f906(f905(x84831,x84831),a895)))))
% 190.77/190.68 [8502]P1(f836(f836(f224(f906(x85021,a895)),f306(x85021,x85022)),f306(x85021,x85023)))+~P1(f836(f836(f224(f906(f905(x85021,x85021),a895)),x85023),x85022))
% 190.77/190.68 [8509]~P125(x85091)+P1(f836(f836(f224(x85091),f2(x85091)),f836(f836(f74(x85091),f836(f836(f75(x85091),x85092),x85092)),f836(f836(f75(x85091),x85093),x85093))))
% 190.77/190.68 [8543]P1(f836(f836(f224(f906(x85431,a895)),f836(f271(x85431),x85432)),f836(f271(x85431),x85433)))+~P1(f836(f836(f224(f906(f905(x85431,x85431),a895)),x85432),x85433))
% 190.77/190.68 [8572]~P53(x85721,x85722)+~P1(f836(f836(f318(f905(x85721,x85721)),f836(f836(f242(x85721,x85721),x85723),x85723)),x85722))
% 190.77/190.68 [8574]~P36(x85741,x85742)+~P1(f836(f836(f318(f905(x85741,x85741)),f836(f836(f242(x85741,x85741),x85743),x85743)),x85742))
% 190.77/190.68 [8632]P1(f836(f836(f224(f906(x86321,a895)),f33(f906(x86321,a895),x86322)),f33(f906(x86321,a895),x86323)))+~P1(f836(f836(f224(f906(f906(x86321,a895),a895)),x86323),x86322))
% 190.77/190.68 [8633]P1(f836(f836(f224(f906(x86331,a895)),f32(f906(x86331,a895),x86332)),f32(f906(x86331,a895),x86333)))+~P1(f836(f836(f224(f906(f906(x86331,a895),a895)),x86332),x86333))
% 190.77/190.68 [8687]~P8(x86871,x86873,x86872)+P1(f836(f836(f224(f906(f905(x86871,x86871),a895)),x86872),f836(f836(f244(x86871,x86871),x86873),f836(f16(f906(x86871,a895),x86871),x86873))))
% 190.77/190.68 [8688]~P52(x86881,x86883,x86882)+P1(f836(f836(f224(f906(f905(x86881,x86881),a895)),x86882),f836(f836(f244(x86881,x86881),x86883),f836(f16(f906(x86881,a895),x86881),x86883))))
% 190.77/190.68 [8737]~P86(x87371)+P1(f836(f836(f224(x87371),f836(f836(f23(x87371),f836(f70(x87371),x87372)),f836(f70(x87371),x87373))),f836(f70(x87371),f836(f836(f23(x87371),x87373),x87372))))
% 190.77/190.68 [8738]~P86(x87381)+P1(f836(f836(f224(x87381),f836(f836(f23(x87381),f836(f70(x87381),x87382)),f836(f70(x87381),x87383))),f836(f70(x87381),f836(f836(f23(x87381),x87382),x87383))))
% 190.77/190.68 [8770]P1(f836(f836(f224(f906(f905(x87701,x87701),a895)),f297(x87701,x87702)),f297(x87701,x87703)))+~P1(f836(f836(f224(f906(f905(x87701,x87701),a895)),x87702),x87703))
% 190.77/190.68 [8881]~P24(x88812,x88811,x88813,f232(f906(x88812,a895)))+E(f836(f67(x88811,x88812,x88812,f85(x88812,x88811,f232(f906(x88812,a895)),x88813)),x88813),f25(x88812))
% 190.77/190.68 [8941]P55(x89411,x89412,x89413)+~P55(x89411,x89412,f836(f836(f23(f906(f905(x89411,x89411),a895)),x89413),f297(x89411,f178(f906(f905(x89411,x89411),a895)))))
% 190.77/190.68 [8961]P1(f836(f836(f224(f906(f905(f900(x89611),f900(x89611)),a895)),f147(x89611,x89612)),f147(x89611,x89613)))+~P1(f836(f836(f224(f906(f905(x89611,x89611),a895)),x89612),x89613))
% 190.77/190.68 [8962]P1(f836(f836(f224(f906(f905(f900(x89621),f900(x89621)),a895)),f148(x89621,x89622)),f148(x89621,x89623)))+~P1(f836(f836(f224(f906(f905(x89621,x89621),a895)),x89622),x89623))
% 190.77/190.68 [8983]~P52(x89831,x89833,x89832)+P1(f836(f836(f224(f906(f905(x89831,x89831),a895)),x89832),f836(f836(f279(x89831,x89831,x89831),f836(f276(x89831,x89831),x89832)),x89832)))
% 190.77/190.68 [9035]~P1(f836(f127(x90351),x90352))+E(f836(f126(x90351,f836(f836(f7(x90351,f906(x90351,a895),a895),f318(x90351)),f836(f162(x90351),f166(x90351,x90352,x90353)))),x90352),f166(x90351,x90352,x90353))
% 190.77/190.68 [9088]E(x90881,x90882)+~P1(f836(f836(f318(f905(x90883,x90883)),f836(f836(f242(x90883,x90883),x90881),x90882)),f297(x90883,f178(f906(f905(x90883,x90883),a895)))))
% 190.77/190.68 [9171]P1(f836(f836(f318(x91711),x91712),f306(x91711,x91713)))+P1(f836(f836(f318(f905(x91711,x91711)),f836(f836(f242(x91711,x91711),f456(x91713,x91712,x91711)),x91712)),x91713))
% 190.77/190.68 [9172]P1(f836(f836(f318(x91721),x91722),f306(x91721,x91723)))+P1(f836(f836(f318(f905(x91721,x91721)),f836(f836(f242(x91721,x91721),f538(x91723,x91722,x91721)),x91722)),x91723))
% 190.77/190.68 [9173]P1(f836(f836(f318(x91731),x91732),f306(x91731,x91733)))+P1(f836(f836(f318(f905(x91731,x91731)),f836(f836(f242(x91731,x91731),f540(x91733,x91732,x91731)),x91732)),x91733))
% 190.77/190.68 [9209]P24(x92091,x92092,x92093,f232(f906(x92091,a895)))+~E(f836(f67(x92092,x92091,x92091,f85(x92091,x92092,f232(f906(x92091,a895)),x92093)),x92093),f25(x92091))
% 190.77/190.68 [9262]~P1(f836(f836(f318(f900(x92621)),x92623),f151(x92621,x92622)))+P1(f836(f150(x92621,f836(f836(f7(x92621,f906(x92621,a895),a895),f318(x92621)),x92622)),x92623))
% 190.77/190.68 [9285]P1(f836(x92853,x92852))+E(f836(f252(x92851),f836(f836(f18(x92851,a895,a895),f836(f836(f8(a895,f906(a895,a895),x92851),a315),f836(a314,x92852))),x92853)),f178(f906(x92851,a895)))
% 190.77/190.68 [9302]~P86(x93021)+P1(f836(f836(f224(x93021),f836(f70(x93021),f836(f836(f23(x93021),f836(f70(x93021),x93022)),f836(f70(x93021),x93023)))),f836(f70(x93021),f836(f836(f23(x93021),x93022),x93023))))
% 190.77/190.68 [9316]~P1(f836(x93163,x93162))+E(f836(f252(x93161),f836(f836(f18(x93161,a895,a895),f836(f836(f8(a895,f906(a895,a895),x93161),a315),f836(a314,x93162))),x93163)),f836(f836(f299(x93161),x93162),f178(f906(x93161,a895))))
% 190.77/190.68 [9325]~P1(f836(f836(f318(f906(x93251,a895)),x93253),f836(f298(x93251),x93252)))+P1(f836(f238(x93251,f836(f836(f7(x93251,f906(x93251,a895),a895),f318(x93251)),x93252)),x93253))
% 190.77/190.68 [9362]P36(x93621,x93622)+P1(f836(f836(f318(f905(x93621,x93621)),f836(f836(f242(x93621,x93621),f836(f501(x93622,x93621),f836(a102,x93623))),f836(f501(x93622,x93621),x93623))),x93622))
% 190.77/190.68 [9504]P1(f836(f836(f318(f900(x95041)),x95042),f151(x95041,x95043)))+~P1(f836(f150(x95041,f836(f836(f7(x95041,f906(x95041,a895),a895),f318(x95041)),x95043)),x95042))
% 190.77/190.68 [9519]P1(f836(f836(f318(f906(x95191,a895)),x95192),f836(f298(x95191),x95193)))+~P1(f836(f238(x95191,f836(f836(f7(x95191,f906(x95191,a895),a895),f318(x95191)),x95193)),x95192))
% 190.77/190.68 [9584]P1(f836(f836(f318(x95841),f836(f258(x95841,x95842),x95843)),f836(f162(x95841),f836(f836(f144(f905(a89,x95841),x95841),f246(a89,x95841)),x95842))))+~P1(f836(f836(f225(a89),x95843),f836(f155(a89),f836(f836(f144(f905(a89,x95841),a89),f241(a89,x95841)),x95842))))
% 190.77/190.68 [9634]P1(f836(f836(f224(f906(f905(f900(x96341),f900(x96341)),a895)),f148(x96341,x96342)),f836(f836(f244(f900(x96341),f900(x96341)),f151(x96341,x96343)),f836(f16(f906(f900(x96341),a895),f900(x96341)),f151(x96341,x96343)))))+~P1(f836(f836(f224(f906(f905(x96341,x96341),a895)),x96342),f836(f836(f244(x96341,x96341),x96343),f836(f16(f906(x96341,a895),x96341),x96343))))
% 190.77/190.68 [9658]P1(f836(f836(f318(x96581),f836(f241(x96581,f905(a89,a89)),f836(f256(x96581,x96582),x96583))),f836(f162(x96581),f836(f836(f144(f905(a89,x96581),x96581),f246(a89,x96581)),x96582))))+~P1(f836(f836(f225(a89),f2(a89)),f836(f155(a89),f836(f836(f144(f905(a89,x96581),a89),f241(a89,x96581)),x96582))))
% 190.77/190.68 [9673]~P1(f836(f836(f224(f906(f905(x96731,x96731),a895)),x96732),f836(f836(f244(x96731,x96731),x96733),f836(f16(f906(x96731,a895),x96731),x96733))))+P1(f836(f836(f224(f906(f905(x96731,x96731),a895)),f836(f836(f279(x96731,x96731,x96731),x96732),f297(x96731,x96732))),f836(f836(f244(x96731,x96731),x96733),f836(f16(f906(x96731,a895),x96731),x96733))))
% 190.77/190.68 [9971]~P36(x99711,x99712)+~P1(f836(f836(f318(f905(x99711,x99711)),f836(f836(f242(x99711,x99711),f836(x99713,f836(a102,f502(x99712,x99711,x99713)))),f836(x99713,f502(x99712,x99711,x99713)))),x99712))
% 190.77/190.68 [9972]~P36(x99721,x99722)+~P1(f836(f836(f318(f905(x99721,x99721)),f836(f836(f242(x99721,x99721),f836(x99723,f836(a102,f548(x99723,x99722,x99721)))),f836(x99723,f548(x99723,x99722,x99721)))),x99722))
% 190.77/190.68 [10227]P1(f836(f836(f224(f906(f905(f906(x102271,a895),f906(x102271,a895)),a895)),f836(f836(f279(f906(x102271,a895),f906(x102271,a895),f906(x102271,a895)),f308(x102271,x102272)),f836(f836(f91(f906(f905(f906(x102271,a895),f906(x102271,a895)),a895)),f308(x102271,x102273)),f836(f836(f299(f905(f906(x102271,a895),f906(x102271,a895))),f836(f836(f242(f906(x102271,a895),f906(x102271,a895)),f178(f906(x102271,a895))),f178(f906(x102271,a895)))),f178(f906(f905(f906(x102271,a895),f906(x102271,a895)),a895)))))),f308(x102271,x102272)))+~P1(f836(f836(f224(f906(f905(x102271,x102271),a895)),f836(f836(f279(x102271,x102271,x102271),x102272),x102273)),x102272))
% 190.77/190.68 [10228]P1(f836(f836(f224(f906(f905(f906(x102281,a895),f906(x102281,a895)),a895)),f836(f836(f279(f906(x102281,a895),f906(x102281,a895),f906(x102281,a895)),f309(x102281,x102282)),f836(f836(f91(f906(f905(f906(x102281,a895),f906(x102281,a895)),a895)),f309(x102281,x102283)),f836(f836(f299(f905(f906(x102281,a895),f906(x102281,a895))),f836(f836(f242(f906(x102281,a895),f906(x102281,a895)),f178(f906(x102281,a895))),f178(f906(x102281,a895)))),f178(f906(f905(f906(x102281,a895),f906(x102281,a895)),a895)))))),f309(x102281,x102282)))+~P1(f836(f836(f224(f906(f905(x102281,x102281),a895)),f836(f836(f279(x102281,x102281,x102281),x102282),x102283)),x102282))
% 190.77/190.68 [7389]~P1(f836(f836(f224(a899),x73892),x73891))+E(f836(f836(f23(a899),f836(a102,f836(f836(f23(a899),x73891),x73892))),x73893),f836(f836(f23(a899),f836(a102,x73891)),f836(f836(f74(a899),x73892),x73893)))
% 190.77/190.68 [7429]~P3(x74291)+E(f836(f836(f74(x74291),f41(x74291,x74292,x74293)),f836(f836(f75(x74291),f836(f836(f31(x74291),x74292),x74293)),x74293)),x74292)
% 190.77/190.68 [7627]E(f836(f836(f75(a899),f836(f94(a899),x76271)),f836(f836(f75(a899),f836(f94(a899),x76272)),x76273)),f836(f836(f75(a899),f836(f94(a899),f836(f836(f75(a1),x76271),x76272))),x76273))+P1(f836(f836(f225(a1),x76271),a77))
% 190.77/190.68 [8095]~P1(f836(f836(f224(a899),x80953),x80952))+P1(f836(f836(f224(a899),x80951),f836(f836(f23(a899),f836(f836(f74(a899),x80952),x80951)),x80953)))
% 190.77/190.68 [8295]~P1(f836(f836(f224(a899),x82951),x82952))+E(f836(f836(f124(a899),f129(a899,f836(f292(a899,x82951),x82952))),f129(a899,f836(f292(a899,x82952),f836(f836(f74(a899),x82952),x82953)))),f129(a899,f836(f292(a899,x82951),f836(f836(f74(a899),x82952),x82953))))
% 190.77/190.68 [8551]~P1(f836(f29(x85511),x85512))+E(f836(a102,f836(f30(x85511),f836(f836(f23(f906(x85511,a895)),x85512),f836(f836(f299(x85511),x85513),f178(f906(x85511,a895)))))),f836(f30(x85511),f836(f836(f299(x85511),x85513),x85512)))
% 190.77/190.68 [8590]~P1(f836(f29(x85901),x85902))+E(f836(f836(f74(a899),f72(a899)),f836(f30(x85901),f836(f836(f23(f906(x85901,a895)),x85902),f836(f836(f299(x85901),x85903),f178(f906(x85901,a895)))))),f836(f30(x85901),f836(f836(f299(x85901),x85903),x85902)))
% 190.77/190.68 [8779]E(f836(f836(f23(a899),f836(f30(x87791),x87792)),f836(f30(x87791),f836(f836(f92(f906(x87791,a895)),x87792),x87793))),f836(f30(x87791),f836(f836(f23(f906(x87791,a895)),x87792),x87793)))+~P1(f836(f29(x87791),f836(f836(f92(f906(x87791,a895)),x87792),x87793)))
% 190.77/190.68 [9030]~P6(f836(x90302,f874(x90302,x90303,x90301)))+E(f836(f90(a1),f836(f836(f9(x90301,a899),f836(f836(f8(a1,a899,x90301),a95),x90302)),x90303)),f836(f836(f9(x90301,a1),x90302),x90303))
% 190.77/190.68 [9031]~P6(f836(x90312,f399(x90312,x90313,x90311)))+E(f836(f90(a1),f836(f836(f6(x90311,a899),f836(f836(f8(a1,a899,x90311),a95),x90312)),x90313)),f836(f836(f6(x90311,a1),x90312),x90313))
% 190.77/190.68 [9071]~P1(f836(f29(x90711),x90713))+P1(f836(f836(f224(a899),f836(f836(f23(a899),f836(f30(x90711),x90712)),f836(f30(x90711),x90713))),f836(f30(x90711),f836(f836(f23(f906(x90711,a895)),x90712),x90713))))
% 190.77/190.68 [9098]P1(f836(f836(f318(x90981),f874(x90982,x90983,x90981)),x90983))+E(f836(f90(a1),f836(f836(f9(x90981,a899),f836(f836(f8(a1,a899,x90981),a95),x90982)),x90983)),f836(f836(f9(x90981,a1),x90982),x90983))
% 190.77/190.68 [9099]P1(f836(f836(f318(x90991),f399(x90992,x90993,x90991)),x90993))+E(f836(f90(a1),f836(f836(f6(x90991,a899),f836(f836(f8(a1,a899,x90991),a95),x90992)),x90993)),f836(f836(f6(x90991,a1),x90992),x90993))
% 190.77/190.68 [9163]E(f79(x91631,f836(f836(f7(x91631,f906(x91631,a895),a895),f318(x91631)),f836(f836(f23(f906(x91631,a895)),x91632),f836(f836(f299(x91631),x91633),f178(f906(x91631,a895)))))),f237(x91631,x91633,x91632))+P1(f836(f836(f224(f906(x91631,a895)),x91632),f836(f836(f299(x91631),x91633),f178(f906(x91631,a895)))))
% 190.77/190.68 [9520]E(f836(f836(f144(f900(x95201),x95201),f836(f836(f7(f900(x95201),a899,x95201),f154(x95201)),x95202)),f836(f126(f900(x95201),f836(f836(f8(a899,a895,f900(x95201)),f836(f225(a899),x95202)),f179(f900(x95201)))),x95203)),f836(f836(f154(f900(x95201)),f169(x95201,x95203)),x95202))+~P1(f836(f836(f225(a899),x95202),f836(f179(f900(f900(x95201))),f169(x95201,x95203))))
% 190.77/190.68 [9607]E(f836(f126(x96071,x96072),x96073),f167(x96071,x96072,x96073))+P1(f836(f836(f318(x96071),f698(x96073,x96072,x96071)),f836(f162(x96071),f836(f836(f128(x96071),f836(f179(f900(x96071)),f167(x96071,x96072,x96073))),x96073))))
% 190.77/190.68 [9746]E(f836(f836(f128(x97461),f836(f179(f900(x97461)),f167(x97461,x97462,x97463))),x97463),f103(x97461))+~P1(f836(x97462,f836(f131(x97461),f836(f836(f128(x97461),f836(f179(f900(x97461)),f167(x97461,x97462,x97463))),x97463))))
% 190.77/190.68 [9838]~P1(f836(f836(f318(f905(x98381,x98381)),x98382),f297(x98381,x98383)))+P1(f836(f836(f318(f905(x98381,x98381)),x98382),f836(f836(f35(a899,f906(f905(x98381,x98381),a895)),f232(f906(a899,a895))),f836(f836(f7(a899,f906(f905(x98381,x98381),a895),f906(f905(x98381,x98381),a895)),f173(f905(x98381,x98381),a895)),x98383))))
% 190.77/190.68 [9898]~P1(f836(f836(f224(f906(x98981,a895)),f836(f836(f35(a899,f906(x98981,a895)),f836(f292(a899,f2(a899)),f450(x98983,x98982,x98981))),x98982)),x98983))+P1(f836(f836(f224(f906(x98981,a895)),f836(f836(f35(a899,f906(x98981,a895)),f232(f906(a899,a895))),x98982)),x98983))
% 190.77/190.68 [9944]~P1(f836(f836(f225(a1),f2(a1)),x99443))+P1(f836(f836(f225(a1),x99441),f836(f836(f74(a1),x99442),f836(f836(f75(a1),f836(f836(f74(a1),f836(f70(a1),f836(f836(f23(a1),x99442),x99441))),f72(a1))),x99443))))
% 190.77/190.68 [9958]~P36(x99581,f836(f836(f91(f906(f905(x99581,x99581),a895)),x99582),x99583))+P36(x99581,f836(f836(f91(f906(f905(x99581,x99581),a895)),f836(f836(f91(f906(f905(x99581,x99581),a895)),f836(f836(f279(x99581,x99581,x99581),x99582),x99582)),f836(f836(f279(x99581,x99581,x99581),x99583),x99582))),x99583))
% 190.77/190.68 [10033]P36(x100331,f836(f836(f91(f906(f905(x100331,x100331),a895)),x100332),x100333))+~P36(x100331,f836(f836(f91(f906(f905(x100331,x100331),a895)),f836(f836(f91(f906(f905(x100331,x100331),a895)),f836(f836(f279(x100331,x100331,x100331),x100332),x100332)),f836(f836(f279(x100331,x100331,x100331),x100333),x100332))),x100333))
% 190.77/190.68 [9611]~P128(x96111)+E(f836(f93(x96111),f836(a83,f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),f836(f836(f242(a899,a899),x96112),x96113)),f178(f906(f905(a899,a899),a895)))))),f836(f836(f23(x96111),f836(f90(x96111),x96112)),f836(f90(x96111),x96113)))
% 190.77/190.68 [9693]P1(f836(x96933,x96932))+E(f836(f252(x96931),f836(f836(f18(x96931,a895,a895),f836(f836(f8(a895,f906(a895,a895),x96931),a315),f836(f836(f7(x96931,x96931,a895),a314),x96932))),x96933)),f178(f906(x96931,a895)))
% 190.77/190.68 [9695]~P1(f836(x96953,x96952))+E(f836(f252(x96951),f836(f836(f18(x96951,a895,a895),f836(f836(f8(a895,f906(a895,a895),x96951),a315),f836(f836(f7(x96951,x96951,a895),a314),x96952))),x96953)),f836(f836(f299(x96951),x96952),f178(f906(x96951,a895))))
% 190.77/190.68 [9924]E(x99241,x99242)+P1(f836(f836(f233(x99243,x99243,f836(f836(f8(f906(x99243,a895),f906(x99243,a895),x99243),f836(f8(a895,a895,x99243),a312)),a314)),x99241),x99242))
% 190.77/190.68 [10013]~E(x100131,x100132)+~P1(f836(f836(f233(x100133,x100133,f836(f836(f8(f906(x100133,a895),f906(x100133,a895),x100133),f836(f8(a895,a895,x100133),a312)),a314)),x100131),x100132))
% 190.77/190.68 [10025]~P1(f836(f29(x100251),x100253))+E(f836(f836(f59(x100251,f906(x100251,a895),f836(f836(f8(f906(x100251,a895),f906(f906(x100251,a895),f906(x100251,a895)),x100251),f836(f7(f906(x100251,a895),f906(x100251,a895),f906(x100251,a895)),f23(f906(x100251,a895)))),f836(f836(f7(x100251,f906(x100251,a895),f906(x100251,a895)),f299(x100251)),f178(f906(x100251,a895))))),x100252),x100253),f836(f836(f23(f906(x100251,a895)),x100252),x100253))
% 190.77/190.68 [10055]~P1(f836(f836(f225(a1),f2(a1)),x100553))+P1(f836(f836(f225(a1),f836(f836(f23(a1),x100551),f836(f836(f75(a1),f836(f836(f74(a1),f836(f70(a1),f836(f836(f23(a1),x100551),x100552))),f72(a1))),x100553))),x100552))
% 190.77/190.68 [10317]~P1(f836(f836(f318(x103171),x103173),f306(x103171,x103172)))+P1(f836(f305(x103171,f836(f836(f7(x103171,f906(f905(x103171,x103171),a895),f906(x103171,a895)),f836(f836(f8(f906(x103171,f906(f906(f905(x103171,x103171),a895),a895)),f906(f906(f905(x103171,x103171),a895),f906(x103171,a895)),x103171),f7(x103171,f906(f905(x103171,x103171),a895),a895)),f836(f836(f8(f906(x103171,f905(x103171,x103171)),f906(x103171,f906(f906(f905(x103171,x103171),a895),a895)),x103171),f836(f8(f905(x103171,x103171),f906(f906(f905(x103171,x103171),a895),a895),x103171),f318(f905(x103171,x103171)))),f242(x103171,x103171)))),x103172)),x103173))
% 190.77/190.68 [10330]P1(f836(f836(f318(x103301),x103302),f306(x103301,x103303)))+~P1(f836(f305(x103301,f836(f836(f7(x103301,f906(f905(x103301,x103301),a895),f906(x103301,a895)),f836(f836(f8(f906(x103301,f906(f906(f905(x103301,x103301),a895),a895)),f906(f906(f905(x103301,x103301),a895),f906(x103301,a895)),x103301),f7(x103301,f906(f905(x103301,x103301),a895),a895)),f836(f836(f8(f906(x103301,f905(x103301,x103301)),f906(x103301,f906(f906(f905(x103301,x103301),a895),a895)),x103301),f836(f8(f905(x103301,x103301),f906(f906(f905(x103301,x103301),a895),a895),x103301),f318(f905(x103301,x103301)))),f242(x103301,x103301)))),x103303)),x103302))
% 190.77/190.68 [9896]~P1(f836(f29(x98961),f836(f252(x98961),x98963)))+P1(f836(f29(x98961),f836(f252(x98961),f836(f836(f18(x98961,a895,a895),f836(f836(f8(a895,f906(a895,a895),x98961),a315),x98962)),x98963))))
% 190.77/190.68 [9897]~P1(f836(f29(x98971),f836(f252(x98971),x98972)))+P1(f836(f29(x98971),f836(f252(x98971),f836(f836(f18(x98971,a895,a895),f836(f836(f8(a895,f906(a895,a895),x98971),a315),x98972)),x98973))))
% 190.77/190.68 [9992]P1(f836(f29(x99921),f836(f252(x99921),x99922)))+~P1(f836(f29(x99921),f836(f252(x99921),f836(f836(f18(x99921,a895,a895),f836(f836(f8(a895,f906(a895,a895),x99921),a316),x99923)),x99922))))
% 190.77/190.68 [9993]P1(f836(f29(x99931),f836(f252(x99931),x99932)))+~P1(f836(f29(x99931),f836(f252(x99931),f836(f836(f18(x99931,a895,a895),f836(f836(f8(a895,f906(a895,a895),x99931),a316),x99932)),x99933))))
% 190.77/190.68 [10296]~P1(f836(f29(x102961),x102962))+P1(f836(f29(f900(x102961)),f836(f252(f900(x102961)),f836(f836(f18(f900(x102961),a895,a895),f836(f836(f8(a895,f906(a895,a895),f900(x102961)),a315),f836(f836(f7(f900(x102961),f906(x102961,a895),a895),f836(f836(f8(f906(x102961,a895),f906(f906(x102961,a895),a895),f900(x102961)),f224(f906(x102961,a895))),f162(x102961))),x102962))),f836(f836(f7(f900(x102961),a899,a895),f836(f836(f8(a899,f906(a899,a895),f900(x102961)),a314),f179(f900(x102961)))),x102963)))))
% 190.77/190.68 [10297]~P1(f836(f29(x102971),x102972))+P1(f836(f29(f900(x102971)),f836(f252(f900(x102971)),f836(f836(f18(f900(x102971),a895,a895),f836(f836(f8(a895,f906(a895,a895),f900(x102971)),a315),f836(f836(f7(f900(x102971),f906(x102971,a895),a895),f836(f836(f8(f906(x102971,a895),f906(f906(x102971,a895),a895),f900(x102971)),f224(f906(x102971,a895))),f162(x102971))),x102972))),f836(f836(f7(f900(x102971),a899,a895),f836(f836(f8(a899,f906(a899,a895),f900(x102971)),f224(a899)),f179(f900(x102971)))),x102973)))))
% 190.77/190.68 [10006]~P112(x100061)+E(f836(f836(f234(x100061),x100062),f836(f836(f75(a899),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x100063)),f836(f836(f75(x100061),f836(f836(f234(x100061),x100062),x100063)),f836(f836(f234(x100061),x100062),x100063)))
% 190.77/190.68 [10036]~P80(x100361)+E(f836(f836(f234(x100361),f836(f836(f234(x100361),x100362),x100363)),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f836(f836(f234(x100361),x100362),f836(f836(f75(a899),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x100363)))
% 190.77/190.68 [10092]~P128(x100921)+E(f836(f836(f234(x100921),f836(f73(x100921),x100922)),f836(f836(f75(a899),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x100923)),f836(f836(f234(x100921),x100922),f836(f836(f75(a899),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x100923)))
% 190.77/190.68 [10235]~P111(x102351)+P1(f836(f836(f224(x102351),f2(x102351)),f836(f836(f74(x102351),f836(f836(f234(x102351),x102352),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))),f836(f836(f234(x102351),x102353),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))))))
% 190.77/190.68 [10102]~P112(x101021)+E(f836(f836(f234(x101021),x101022),f836(a102,f836(f836(f75(a899),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x101023))),f836(f836(f75(x101021),x101022),f836(f836(f75(x101021),f836(f836(f234(x101021),x101022),x101023)),f836(f836(f234(x101021),x101022),x101023))))
% 190.77/190.68 [10152]~P80(x101521)+E(f836(f836(f75(x101521),x101522),f836(f836(f234(x101521),f836(f836(f234(x101521),x101522),x101523)),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))),f836(f836(f234(x101521),x101522),f836(a102,f836(f836(f75(a899),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x101523))))
% 190.77/190.68 [10192]~P111(x101921)+P1(f836(f836(f224(x101921),f2(x101921)),f836(f836(f234(x101921),x101922),f836(f836(f75(a899),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x101923))))
% 190.77/190.68 [10272]~P94(x102721)+E(f836(f836(f23(x102721),f836(f836(f74(x102721),f836(f836(f234(x102721),x102722),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))),f836(f836(f234(x102721),x102723),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))))),f836(f836(f75(x102721),f836(f836(f75(x102721),f836(f94(x102721),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x102722)),x102723)),f836(f836(f234(x102721),f836(f836(f23(x102721),x102722),x102723)),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))))
% 190.77/190.68 [10273]~P94(x102731)+E(f836(f836(f74(x102731),f836(f836(f74(x102731),f836(f836(f234(x102731),x102732),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))),f836(f836(f234(x102731),x102733),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))))),f836(f836(f75(x102731),f836(f836(f75(x102731),f836(f94(x102731),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x102732)),x102733)),f836(f836(f234(x102731),f836(f836(f74(x102731),x102732),x102733)),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))))
% 190.77/190.68 [7895]P24(x78951,x78952,x78953,x78954)+~E(f417(x78954,x78953,x78952,x78951),f420(x78954,x78953,x78952,x78951))
% 190.77/190.68 [8186]P33(x81861,x81862,x81863,x81864,f103(x81862))+~E(x81864,f103(x81861))
% 190.77/190.68 [8187]P33(x81871,x81872,x81873,f103(x81871),x81874)+~E(x81874,f103(x81872))
% 190.77/190.68 [8727]~P33(x87272,x87273,x87274,x87271,f103(x87273))+E(x87271,f103(x87272))
% 190.77/190.68 [8728]~P33(x87283,x87282,x87284,f103(x87283),x87281)+E(x87281,f103(x87282))
% 190.77/190.68 [5129]~P17(x51293,x51291,x51294)+E(f836(f836(x51291,x51292),x51292),x51292)
% 190.77/190.68 [5375]P1(f836(x53752,x53754))+E(f836(f126(x53751,x53752),f159(x53751,x53753,x53754)),f103(x53751))
% 190.77/190.68 [5413]~E(x54134,f178(f906(x54131,a895)))+E(f836(f300(x54131,x54132,x54133),x54134),f178(f906(x54132,a895)))
% 190.77/190.68 [5659]~P1(f836(x56592,x56594))+E(f836(f126(x56591,x56592),f159(x56591,x56593,x56594)),f159(x56591,x56593,x56594))
% 190.77/190.68 [5689]~E(f836(f300(x56892,x56893,x56894),x56891),f178(f906(x56893,a895)))+E(x56891,f178(f906(x56892,a895)))
% 190.77/190.68 [5876]~P7(x58761,x58763)+E(f261(x58761,x58762,f260(x58761,x58763),x58764),x58764)
% 190.77/190.68 [5992]~P108(x59922)+E(f836(f836(f138(x59921,x59922,x59923),x59924),f103(x59921)),f836(f836(f141(x59921),x59924),f103(x59921)))
% 190.77/190.68 [6359]~E(x63591,f178(f906(x63592,a895)))+~P1(f836(f57(x63592,x63593,x63591),x63594))
% 190.77/190.68 [6382]~P58(x63821,x63823,x63824,x63822)+P1(f836(f29(x63821),x63822))
% 190.77/190.68 [6384]~P58(x63841,x63843,x63842,x63844)+P1(f836(f29(x63841),x63842))
% 190.77/190.68 [6392]~P58(x63922,x63923,x63924,x63921)+~E(x63921,f178(f906(x63922,a895)))
% 190.77/190.68 [6427]~P109(x64271)+E(f836(f836(f92(f906(x64271,a895)),f836(f292(x64271,x64272),x64273)),f293(x64271,x64273,x64274)),f178(f906(x64271,a895)))
% 190.77/190.68 [6454]~P1(f836(f836(x64543,x64544),x64542))+P1(f836(f836(f318(x64541),x64542),f284(x64541,x64543,x64544)))
% 190.77/190.68 [6455]~P1(f836(f836(x64553,x64554),x64552))+P1(f836(f836(f318(x64551),x64552),f285(x64551,x64553,x64554)))
% 190.77/190.68 [6456]~P1(f836(f836(x64563,x64562),x64564))+P1(f836(f836(f318(x64561),x64562),f286(x64561,x64563,x64564)))
% 190.77/190.68 [6457]~P1(f836(f836(x64573,x64572),x64574))+P1(f836(f836(f318(x64571),x64572),f288(x64571,x64573,x64574)))
% 190.77/190.68 [6604]~P109(x66041)+E(f836(f836(f92(f906(x66041,a895)),f296(x66041,x66042,x66043)),f293(x66041,x66043,x66044)),f178(f906(x66041,a895)))
% 190.77/190.68 [6605]~P109(x66051)+E(f836(f836(f92(f906(x66051,a895)),f295(x66051,x66052,x66053)),f296(x66051,x66053,x66054)),f178(f906(x66051,a895)))
% 190.77/190.68 [6606]~P109(x66061)+E(f836(f836(f92(f906(x66061,a895)),f295(x66061,x66062,x66063)),f295(x66061,x66063,x66064)),f178(f906(x66061,a895)))
% 190.77/190.68 [6607]~P109(x66071)+E(f836(f836(f92(f906(x66071,a895)),f293(x66071,x66072,x66073)),f296(x66071,x66073,x66074)),f178(f906(x66071,a895)))
% 190.77/190.68 [6608]~P109(x66081)+E(f836(f836(f92(f906(x66081,a895)),f293(x66081,x66082,x66083)),f295(x66081,x66083,x66084)),f178(f906(x66081,a895)))
% 190.77/190.68 [6646]P1(f836(f836(x66461,x66462),f500(x66462,x66461)))+~P1(f836(f239(x66463,x66464,x66461),x66462))
% 190.77/190.68 [6728]~P108(x67282)+E(f836(f162(x67281),f140(x67281,x67282,x67283,x67284)),f836(f162(x67281),x67284))
% 190.77/190.68 [6780]~P144(x67801)+E(f180(x67801,x67802,f836(a102,x67803),x67804),f180(x67801,x67802,x67803,f836(x67802,x67804)))
% 190.77/190.68 [6845]~P1(f836(f836(f318(x68454),x68453),f284(x68454,x68451,x68452)))+P1(f836(f836(x68451,x68452),x68453))
% 190.77/190.68 [6846]~P1(f836(f836(f318(x68464),x68463),f285(x68464,x68461,x68462)))+P1(f836(f836(x68461,x68462),x68463))
% 190.77/190.68 [6847]~P1(f836(f836(f318(x68474),x68472),f286(x68474,x68471,x68473)))+P1(f836(f836(x68471,x68472),x68473))
% 190.77/190.68 [6848]~P1(f836(f836(f318(x68484),x68482),f288(x68484,x68481,x68483)))+P1(f836(f836(x68481,x68482),x68483))
% 190.77/190.68 [6925]E(f836(f30(f904(x69251,x69252)),f303(x69251,x69252,x69253,x69254)),f2(a899))+P1(f836(f29(x69252),x69254))
% 190.77/190.68 [6926]E(f836(f30(f904(x69261,x69262)),f303(x69261,x69262,x69263,x69264)),f2(a899))+P1(f836(f29(x69261),x69263))
% 190.77/190.68 [7133]~P14(x71334,x71331,x71332)+E(f836(f67(x71331,x71331,x71331,f836(x71332,x71333)),f836(x71332,x71333)),f836(x71332,x71333))
% 190.77/190.68 [7374]E(f267(x73741,x73742,x73743,x73744),f836(f242(f906(a89,f906(a895,f902(f901(x73741)))),f905(a89,a89)),f37(x73741)))+~P1(f836(f836(f224(a89),x73743),f2(a89)))
% 190.77/190.68 [8018]~E(x80182,x80183)+P1(f836(f836(f318(f905(x80181,x80181)),f836(f836(f242(x80181,x80181),x80182),x80183)),f297(x80181,x80184)))
% 190.77/190.68 [8047]~P24(x80471,x80472,x80473,f232(f906(x80471,a895)))+E(f836(f71(x80471,x80472,f232(f906(x80471,a895)),x80473),f836(x80473,x80474)),x80474)
% 190.77/190.68 [8048]~P24(x80481,x80482,x80483,f232(f906(x80481,a895)))+E(f836(f85(x80481,x80482,f232(f906(x80481,a895)),x80483),f836(x80483,x80484)),x80484)
% 190.77/190.68 [8135]~P1(f836(f836(f318(f900(x81351)),f836(f836(f141(x81351),x81354),x81352)),f151(x81351,x81353)))+P1(f836(f836(f318(f900(x81351)),x81352),f151(x81351,x81353)))
% 190.77/190.68 [8136]~P1(f836(f836(f318(f900(x81361)),f836(f836(f124(x81361),x81364),x81362)),f151(x81361,x81363)))+P1(f836(f836(f318(f900(x81361)),x81362),f151(x81361,x81363)))
% 190.77/190.68 [8137]~P1(f836(f836(f318(f900(x81371)),f836(f836(f124(x81371),x81372),x81374)),f151(x81371,x81373)))+P1(f836(f836(f318(f900(x81371)),x81372),f151(x81371,x81373)))
% 190.77/190.68 [8148]~P108(x81481)+P13(x81481,f836(f836(f144(x81482,x81481),x81483),f140(x81482,x81481,x81483,x81484)))
% 190.77/190.68 [8253]P24(x82534,x82533,x82531,x82532)+E(f836(x82531,f417(x82532,x82531,x82533,x82534)),f836(x82531,f420(x82532,x82531,x82533,x82534)))
% 190.77/190.68 [8360]~P24(x83602,x83601,x83604,x83603)+P24(x83601,x83602,f71(x83602,x83601,x83603,x83604),f836(f300(x83602,x83601,x83604),x83603))
% 190.77/190.68 [8500]P36(f905(x85002,x85004),f270(x85002,x85004,x85001,x85003))+P1(f836(x85001,f505(x85002,x85003,x85004,x85001)))
% 190.77/190.68 [8615]E(x86151,x86152)+~P1(f836(f836(f318(f905(x86153,x86153)),f836(f836(f242(x86153,x86153),x86151),x86152)),f253(x86153,x86154)))
% 190.77/190.68 [8679]~P1(f836(f29(f904(x86793,x86791)),f303(x86793,x86791,x86794,x86792)))+P1(f836(f29(x86791),x86792))
% 190.77/190.68 [8680]~P1(f836(f29(f904(x86801,x86803)),f303(x86801,x86803,x86802,x86804)))+P1(f836(f29(x86801),x86802))
% 190.77/190.68 [8689]~P24(x86891,x86892,x86893,x86894)+P25(x86891,x86892,x86893,x86894,f836(f300(x86891,x86892,x86893),x86894))
% 190.77/190.68 [8690]P11(x86901,x86902,x86903,x86904)+~E(f836(x86904,f821(x86902,x86904,x86903,x86901)),f836(x86904,f822(x86902,x86904,x86903,x86901)))
% 190.77/190.68 [8780]~P25(x87802,x87803,x87804,x87801,f178(f906(x87803,a895)))+E(x87801,f178(f906(x87802,a895)))
% 190.77/190.68 [8781]~P25(x87813,x87812,x87814,f178(f906(x87813,a895)),x87811)+E(x87811,f178(f906(x87812,a895)))
% 190.77/190.68 [8873]P36(f905(x88731,x88732),f270(x88731,x88732,x88733,x88734))+~P36(x88732,f836(x88734,f505(x88731,x88734,x88732,x88733)))
% 190.77/190.68 [9440]E(f836(f836(f149(x94401,x94402),f645(x94403,x94404,x94402,x94401)),f646(x94403,x94404,x94402,x94401)),x94404)+~P1(f836(f836(f318(f905(f900(x94401),f900(x94401))),f836(f836(f242(f900(x94401),f900(x94401)),x94402),x94404)),f147(x94401,x94403)))
% 190.77/190.68 [9445]~P1(f836(f836(f318(f905(f900(x94451),f900(x94451))),f836(f836(f242(f900(x94451),f900(x94451)),x94452),x94453)),f135(x94451,x94454)))+P1(f836(f836(f318(f905(f900(x94451),f900(x94451))),f836(f836(f242(f900(x94451),f900(x94451)),x94452),x94453)),f137(x94451,x94454)))
% 190.77/190.68 [9557]P1(f836(f29(x95571),x95572))+~P1(f836(f836(f318(f905(f906(x95571,a895),f906(x95571,a895))),f836(f836(f242(f906(x95571,a895),f906(x95571,a895)),x95573),x95572)),f309(x95571,x95574)))
% 190.77/190.68 [9558]P1(f836(f29(x95581),x95582))+~P1(f836(f836(f318(f905(f906(x95581,a895),f906(x95581,a895))),f836(f836(f242(f906(x95581,a895),f906(x95581,a895)),x95582),x95583)),f309(x95581,x95584)))
% 190.77/190.68 [9561]~E(x95611,f178(f906(x95612,a895)))+~P1(f836(f836(f318(f905(f906(x95612,a895),f906(x95612,a895))),f836(f836(f242(f906(x95612,a895),f906(x95612,a895)),x95613),x95611)),f309(x95612,x95614)))
% 190.77/190.68 [10203]P11(x102031,x102032,x102033,x102034)+~P1(f836(f836(f247(x102031,x102031,a895),f836(f836(f7(x102031,f906(x102031,x102032),f906(x102031,a895)),f836(f836(f8(f906(x102032,a895),f906(f906(x102031,x102032),f906(x102031,a895)),x102031),f8(x102032,a895,x102031)),f836(f836(f8(x102032,f906(x102032,a895),x102031),a314),x102034))),x102034)),f516(x102034,x102033,x102032,x102031)))
% 190.77/190.68 [5027]~E(x50272,f103(x50271))+E(f836(f836(f149(x50271,x50272),x50273),x50274),f103(x50271))
% 190.77/190.68 [5028]~E(x50284,f103(x50281))+E(f836(f836(f144(x50281,x50282),x50283),x50284),f103(x50282))
% 190.77/190.68 [5262]E(x52621,f103(x52622))+~E(f836(f836(f144(x52622,x52623),x52624),x52621),f103(x52623))
% 190.77/190.68 [5263]E(x52631,f103(x52632))+~E(f836(f836(f149(x52632,x52631),x52633),x52634),f103(x52632))
% 190.77/190.68 [5300]E(x53001,x53002)+~E(f836(f836(f124(x53003),x53004),x53001),f836(f836(f124(x53003),x53004),x53002))
% 190.77/190.68 [5301]E(x53011,x53012)+~E(f836(f836(f124(x53013),x53011),x53014),f836(f836(f124(x53013),x53012),x53014))
% 190.77/190.68 [5450]P1(f836(x54503,x54502))+E(f160(x54501,x54502,f836(f126(x54501,x54503),x54504)),f836(f126(x54501,x54503),x54504))
% 190.77/190.68 [5452]~P1(f836(x54522,x54523))+P32(x54521,x54522,f836(f836(f141(x54521),x54523),x54524))
% 190.77/190.68 [5462]E(x54621,x54622)+~E(f129(a899,f836(f292(a899,x54621),x54623)),f836(f836(f141(a899),x54622),x54624))
% 190.77/190.68 [5511]~P26(x55112,x55113)+P26(x55111,f836(f836(f68(x55112,x55111),x55113),x55114))
% 190.77/190.68 [5512]~P36(x55122,x55123)+P36(x55121,f836(f836(f278(x55122,x55121),x55123),x55124))
% 190.77/190.68 [5513]~P37(x55132,x55133)+P37(x55131,f836(f836(f278(x55132,x55131),x55133),x55134))
% 190.77/190.68 [5514]~P51(x55142,x55143)+P51(x55141,f836(f836(f278(x55142,x55141),x55143),x55144))
% 190.77/190.68 [5643]~P32(x56431,x56432,x56434)+P32(x56431,x56432,f836(f836(f141(x56431),x56433),x56434))
% 190.77/190.68 [5644]~P32(x56441,x56442,x56444)+P32(x56441,x56442,f836(f836(f124(x56441),x56443),x56444))
% 190.77/190.68 [5645]~P32(x56451,x56452,x56453)+P32(x56451,x56452,f836(f836(f124(x56451),x56453),x56454))
% 190.77/190.68 [5732]~E(x57321,f103(x57322))+~E(f836(f836(f124(x57322),x57323),f836(f836(f141(x57322),x57324),f103(x57322))),x57321)
% 190.77/190.68 [5757]~P30(x57573,x57571,f836(f836(f141(x57573),x57572),x57574))+P1(f836(x57571,x57572))
% 190.77/190.68 [5767]E(f104(x57671,x57672),x57673)+~E(f836(f836(f124(x57671),x57673),f836(f836(f141(x57671),x57674),f103(x57671))),x57672)
% 190.77/190.68 [5768]E(f134(x57681,x57682),x57683)+~E(f836(f836(f124(x57681),x57684),f836(f836(f141(x57681),x57683),f103(x57681))),x57682)
% 190.77/190.68 [5878]~E(f129(a899,f836(f292(a899,x58781),x58782)),f836(f836(f141(a899),x58783),x58784))+P1(f836(f836(f225(a899),x58781),x58782))
% 190.77/190.68 [5896]P30(x58961,x58962,x58963)+~P30(x58961,x58962,f836(f836(f141(x58961),x58964),x58963))
% 190.77/190.68 [5897]P30(x58971,x58972,x58973)+~P30(x58971,x58972,f836(f836(f124(x58971),x58974),x58973))
% 190.77/190.68 [5898]P30(x58981,x58982,x58983)+~P30(x58981,x58982,f836(f836(f124(x58981),x58983),x58984))
% 190.77/190.68 [6097]E(x60971,f836(f836(f124(x60972),f836(f158(x60972),x60973)),f836(f836(f141(x60972),x60974),f103(x60972))))+~E(f836(f158(x60972),x60971),f836(f836(f141(x60972),x60974),x60973))
% 190.77/190.68 [6278]~P109(x62781)+E(f836(f836(f92(f906(x62781,a895)),f836(f292(x62781,x62782),x62783)),f836(f292(x62781,x62783),x62784)),f178(f906(x62781,a895)))
% 190.77/190.68 [6289]E(f836(f836(f154(x62891),f159(x62891,x62892,x62893)),x62894),x62893)+~P1(f836(f836(f225(a899),x62894),x62892))
% 190.77/190.68 [6316]~P73(x63161)+E(f836(f155(x63161),f836(f836(f144(a1,x63161),x63162),f168(x63163,x63164))),f836(f836(f6(a1,x63161),x63162),f836(f162(a1),f168(x63163,x63164))))
% 190.77/190.68 [6317]~P73(x63171)+E(f836(f836(f6(a1,x63171),x63172),f836(f162(a1),f168(x63173,x63174))),f836(f155(x63171),f836(f836(f144(a1,x63171),x63172),f168(x63173,x63174))))
% 190.77/190.68 [6467]~E(x64672,f836(f836(f124(x64671),f836(f158(x64671),x64674)),f836(f836(f141(x64671),x64673),f103(x64671))))+E(f836(f158(x64671),x64672),f836(f836(f141(x64671),x64673),x64674))
% 190.77/190.68 [6483]~P19(x64832,x64833,x64834,x64831)+E(f836(x64831,f178(f906(x64832,a895))),f25(x64833))
% 190.77/190.68 [6511]~P109(x65111)+E(f836(f836(f92(f906(x65111,a895)),f296(x65111,x65112,x65113)),f836(f292(x65111,x65113),x65114)),f178(f906(x65111,a895)))
% 190.77/190.68 [6731]E(x67311,f178(f906(x67312,a895)))+~E(f303(x67313,x67312,x67314,x67311),f178(f906(f904(x67313,x67312),a895)))
% 190.77/190.68 [6732]E(x67321,f178(f906(x67322,a895)))+~E(f303(x67322,x67323,x67321,x67324),f178(f906(f904(x67322,x67323),a895)))
% 190.77/190.68 [6801]~P108(x68012)+E(f836(f179(f900(x68011)),f140(x68011,x68012,x68013,x68014)),f836(f179(f900(x68011)),x68014))
% 190.77/190.68 [6812]~P1(f836(f240(x68123,x68124,x68121),x68122))+P1(f836(f836(x68121,f489(x68122,x68121)),x68122))
% 190.77/190.68 [6859]~P1(f836(f29(x68592),x68594))+P1(f836(f29(x68591),f836(f300(x68592,x68591,x68593),x68594)))
% 190.77/190.68 [7094]~P24(x70942,x70941,x70943,x70944)+E(f836(f30(x70941),f836(f300(x70942,x70941,x70943),x70944)),f836(f30(x70942),x70944))
% 190.77/190.68 [7112]E(f836(f300(x71121,x71122,x71123),f836(f301(x71121,x71122,x71123),x71124)),x71124)+~E(f836(f300(x71121,x71122,x71123),f232(f906(x71121,a895))),f232(f906(x71122,a895)))
% 190.77/190.68 [7528]~P24(x75281,x75282,x75283,f232(f906(x75281,a895)))+E(f836(f301(x75281,x75282,x75283),f836(f300(x75281,x75282,x75283),x75284)),x75284)
% 190.77/190.68 [7812]E(x78121,x78122)+~P1(f836(f836(f318(x78123),x78121),f836(f162(x78123),f159(x78123,x78124,x78122))))
% 190.77/190.68 [7821]~E(x78211,f2(a899))+~P1(f836(f836(f318(x78212),x78213),f836(f162(x78212),f159(x78212,x78211,x78214))))
% 190.77/190.68 [7854]P1(f836(x78541,x78542))+~P1(f836(f836(f318(x78543),x78542),f836(f162(x78543),f167(x78543,x78541,x78544))))
% 190.77/190.68 [7964]~P1(f836(f836(f318(f900(x79641)),f836(f836(f141(x79641),x79642),x79644)),f151(x79641,x79643)))+P1(f836(f836(f318(x79641),x79642),x79643))
% 190.77/190.68 [8092]~P1(f836(f836(f318(x80921),x80922),f836(f162(x80921),f166(x80921,x80923,x80924))))+P1(f836(f836(f318(x80921),x80922),f836(f162(x80921),x80923)))
% 190.77/190.68 [8093]~P1(f836(f836(f318(x80931),x80932),f836(f162(x80931),f160(x80931,x80934,x80933))))+P1(f836(f836(f318(x80931),x80932),f836(f162(x80931),x80933)))
% 190.77/190.68 [8094]~P1(f836(f836(f318(x80941),x80942),f836(f162(x80941),f167(x80941,x80944,x80943))))+P1(f836(f836(f318(x80941),x80942),f836(f162(x80941),x80943)))
% 190.77/190.68 [8104]E(f836(f179(f900(x81041)),x81042),x81043)+~P1(f836(f836(f318(f900(x81041)),x81042),f836(f162(f900(x81041)),f51(x81041,x81043,x81044))))
% 190.77/190.68 [8199]P1(f836(x81993,x81992))+E(f836(f126(x81991,f836(f836(f8(a895,a895,x81991),a312),f836(a314,x81992))),f836(f126(x81991,x81993),x81994)),f836(f126(x81991,x81993),x81994))
% 190.77/190.68 [8311]E(f836(f836(f154(x83111),f167(x83111,x83112,x83113)),x83114),f836(f836(f154(x83111),x83113),x83114))+~P1(f836(f836(f225(a899),x83114),f836(f179(f900(x83111)),f167(x83111,x83112,x83113))))
% 190.77/190.68 [8398]~P73(x83981)+E(f836(f836(f6(a899,x83981),f836(f836(f8(a899,x83981,a899),x83982),a102)),f836(f292(a899,x83983),x83984)),f836(f836(f6(a899,x83981),x83982),f836(f292(a899,f836(a102,x83983)),f836(a102,x83984))))
% 190.77/190.68 [8407]~P73(x84071)+E(f836(f836(f6(a899,x84071),f836(f836(f8(a899,x84071,a899),x84072),a102)),f293(a899,x84073,x84074)),f836(f836(f6(a899,x84071),x84072),f293(a899,f836(a102,x84073),f836(a102,x84074))))
% 190.77/190.68 [8536]~P24(x85361,x85363,x85364,f232(f906(x85361,a895)))+P24(x85361,f906(x85362,x85363),f836(f836(f8(x85363,f906(x85362,x85363),x85361),f16(x85363,x85362)),x85364),f232(f906(x85361,a895)))
% 190.77/190.68 [8621]~P24(x86212,x86211,x86214,x86213)+E(f836(f300(x86211,x86212,f71(x86212,x86211,x86213,x86214)),f836(f300(x86212,x86211,x86214),x86213)),x86213)
% 190.77/190.68 [8681]~P1(f836(f836(f318(f905(x86811,x86811)),f836(f836(f242(x86811,x86811),x86812),x86814)),f253(x86811,x86813)))+P1(f836(f836(f318(x86811),x86812),x86813))
% 190.77/190.68 [8804]~P24(x88042,x88041,x88043,f232(f906(x88042,a895)))+E(f836(f300(x88041,x88042,f85(x88042,x88041,f232(f906(x88042,a895)),x88043)),f836(f300(x88042,x88041,x88043),x88044)),x88044)
% 190.77/190.68 [8879]~P25(x88791,x88792,x88793,x88794,f232(f906(x88792,a895)))+E(f836(f300(x88791,x88792,x88793),f232(f906(x88791,a895))),f232(f906(x88792,a895)))
% 190.77/190.68 [8912]~E(f836(f836(f6(x89121,a899),x89124),x89123),f836(a102,x89122))+P1(f836(f836(f318(x89121),f524(x89122,x89123,x89124,x89121)),x89123))
% 190.77/190.68 [8933]~E(f836(f836(f6(x89334,a899),x89331),x89333),f836(a102,x89332))+P1(f836(f836(f225(a899),f2(a899)),f836(x89331,f524(x89332,x89333,x89331,x89334))))
% 190.77/190.68 [8944]~P1(f836(f29(x89442),x89444))+P1(f836(f836(f224(a899),f836(f30(x89441),f836(f300(x89442,x89441,x89443),x89444))),f836(f30(x89442),x89444)))
% 190.77/190.68 [8945]E(f836(f836(f242(x89451,x89452),f616(x89453,x89454,x89452,x89451)),f617(x89453,x89454,x89452,x89451)),x89454)+~P1(f836(f836(f318(f905(x89451,x89452)),x89454),f836(f276(x89452,x89451),x89453)))
% 190.77/190.68 [8953]P24(x89531,x89532,x89533,x89534)+P1(f836(f836(f318(x89531),f417(x89534,x89533,x89532,x89531)),x89534))
% 190.77/190.68 [8954]P24(x89541,x89542,x89543,x89544)+P1(f836(f836(f318(x89541),f420(x89544,x89543,x89542,x89541)),x89544))
% 190.77/190.68 [9022]P11(x90221,x90222,x90223,x90224)+P1(f836(f836(f318(f905(x90221,x90221)),f516(x90224,x90223,x90222,x90221)),x90223))
% 190.77/190.68 [9076]P1(f836(x90761,x90762))+~P1(f836(x90761,f836(f836(f242(x90763,x90764),f871(x90764,x90763,x90761)),f872(x90764,x90763,x90761))))
% 190.77/190.68 [9093]E(f836(f179(f900(x90931)),x90932),f836(f179(f900(x90931)),x90933))+~P1(f836(f836(f318(f905(f900(x90931),f900(x90931))),f836(f836(f242(f900(x90931),f900(x90931)),x90932),x90933)),f135(x90931,x90934)))
% 190.77/190.68 [9094]E(f836(f179(f900(x90941)),x90942),f836(f179(f900(x90941)),x90943))+~P1(f836(f836(f318(f905(f900(x90941),f900(x90941))),f836(f836(f242(f900(x90941),f900(x90941)),x90942),x90943)),f147(x90941,x90944)))
% 190.77/190.68 [9097]E(f836(f179(f900(x90971)),x90972),f836(f179(f900(x90971)),x90973))+~P1(f836(f836(f318(f905(f900(x90971),f900(x90971))),f836(f836(f242(f900(x90971),f900(x90971)),x90972),x90973)),f148(x90971,x90974)))
% 190.77/190.68 [9167]P1(f836(f836(f224(a899),f145(x91671,x91672,x91673)),f145(x91671,x91674,x91673)))+P1(f836(f836(f318(x91671),f644(x91674,x91672,x91673,x91671)),f836(f162(x91671),x91673)))
% 190.77/190.68 [9170]E(f836(f179(f900(x91701)),x91702),f836(f179(f900(x91701)),x91703))+~P1(f836(f836(f318(f905(f900(x91701),f900(x91701))),f836(f836(f242(f900(x91701),f900(x91701)),x91702),x91703)),f297(f900(x91701),f147(x91701,x91704))))
% 190.77/190.68 [9288]P1(f836(f836(f277(a899),x92881),x92882))+P1(f836(f836(f224(f906(a899,a895)),f280(a899,f277(a899),x92881,x92882)),f280(a899,f277(a899),x92883,x92884)))
% 190.77/190.68 [9411]~P24(x94111,x94112,x94113,x94114)+~P1(f836(f836(f225(a899),f836(f30(x94112),f836(f300(x94111,x94112,x94113),x94114))),f836(f30(x94111),x94114)))
% 190.77/190.68 [9458]~P1(f836(f836(f318(f905(f900(x94581),f900(x94581))),f836(f836(f242(f900(x94581),f900(x94581)),x94582),x94583)),f147(x94581,x94584)))+P1(f836(f836(f318(f905(f900(x94581),f900(x94581))),f836(f836(f242(f900(x94581),f900(x94581)),x94582),x94583)),f148(x94581,f297(x94581,x94584))))
% 190.77/190.68 [9462]~P1(f836(f836(f318(f905(f900(x94621),f900(x94621))),f836(f836(f242(f900(x94621),f900(x94621)),x94622),x94623)),f148(x94621,x94624)))+P1(f836(f836(f318(f905(f900(x94621),f900(x94621))),f836(f836(f242(f900(x94621),f900(x94621)),x94622),x94623)),f297(f900(x94621),f147(x94621,x94624))))
% 190.77/190.68 [9478]P1(f836(f836(f318(f905(x94781,x94781)),f836(f836(f242(x94781,x94781),x94782),x94783)),f297(x94781,x94784)))+~P1(f836(f836(f318(f905(x94781,x94781)),f836(f836(f242(x94781,x94781),x94782),x94783)),f836(f836(f279(x94781,x94781,x94781),x94784),f297(x94781,x94784))))
% 190.77/190.68 [9552]P1(f836(f836(f277(a899),x95521),x95522))+~P1(f836(f836(f225(f906(a899,a895)),f280(a899,f277(a899),x95523,x95524)),f280(a899,f277(a899),x95521,x95522)))
% 190.77/190.68 [9674]E(f836(f836(f124(x96741),f661(x96742,x96743,x96744,x96741)),f836(f836(f141(x96741),f662(x96742,x96743,x96744,x96741)),f664(x96742,x96743,x96744,x96741))),x96744)+~P1(f836(f836(f318(f905(f900(x96741),f900(x96741))),f836(f836(f242(f900(x96741),f900(x96741)),x96744),x96743)),f147(x96741,x96742)))
% 190.77/190.68 [9675]E(f836(f836(f124(x96751),f661(x96752,x96753,x96754,x96751)),f836(f836(f141(x96751),f663(x96752,x96753,x96754,x96751)),f664(x96752,x96753,x96754,x96751))),x96753)+~P1(f836(f836(f318(f905(f900(x96751),f900(x96751))),f836(f836(f242(f900(x96751),f900(x96751)),x96754),x96753)),f147(x96751,x96752)))
% 190.77/190.68 [9753]P1(f836(f836(f318(f905(x97531,x97531)),f836(f836(f242(x97531,x97531),x97532),f574(x97533,x97534,x97532,x97531))),f297(x97531,x97533)))+~P1(f836(f836(f318(f905(x97531,x97531)),f836(f836(f242(x97531,x97531),x97532),x97534)),f836(f836(f279(x97531,x97531,x97531),x97533),f297(x97531,x97533))))
% 190.77/190.68 [9821]P1(f836(f836(f224(a899),f145(x98211,x98212,x98213)),f145(x98211,x98214,x98213)))+~P1(f836(f836(f225(a899),f836(x98212,f644(x98214,x98212,x98213,x98211))),f836(x98214,f644(x98214,x98212,x98213,x98211))))
% 190.77/190.68 [9892]P1(f836(f836(f318(f905(x98921,x98921)),f836(f836(f242(x98921,x98921),f565(x98922,x98923,x98924,x98921)),x98923)),f297(x98921,x98922)))+~P1(f836(f836(f318(f905(x98921,x98921)),f836(f836(f242(x98921,x98921),x98924),x98923)),f836(f836(f279(x98921,x98921,x98921),x98922),f297(x98921,x98922))))
% 190.77/190.68 [5281]~E(x52812,x52813)+E(f160(x52811,x52812,f836(f836(f141(x52811),x52813),x52814)),x52814)
% 190.77/190.68 [5406]P1(f836(x54062,x54063))+E(f167(x54061,x54062,f836(f836(f141(x54061),x54063),x54064)),f103(x54061))
% 190.77/190.68 [5474]~P89(x54742)+E(f836(f836(f73(f906(x54741,x54742)),x54743),x54744),f836(f73(x54742),f836(x54743,x54744)))
% 190.77/190.68 [5487]~E(x54872,f2(a899))+E(f836(f836(f128(x54871),x54872),f836(f836(f141(x54871),x54873),x54874)),f836(f836(f141(x54871),x54873),x54874))
% 190.77/190.68 [5488]P1(f836(x54882,x54883))+E(f836(f126(x54881,x54882),f836(f836(f141(x54881),x54883),x54884)),f836(f126(x54881,x54882),x54884))
% 190.77/190.68 [5626]~E(x56262,x56264)+P1(f836(f836(f836(f299(x56261),x56262),x56263),x56264))
% 190.77/190.68 [5634]E(x56341,f103(x56342))+E(f134(x56343,f836(f836(f144(x56342,x56343),x56344),x56341)),f836(x56344,f134(x56342,x56341)))
% 190.77/190.68 [5648]~E(x56481,f58(x56482,x56484))+E(f836(x56481,f836(f836(f299(x56482),x56483),f178(f906(x56482,a895)))),x56483)
% 190.77/190.68 [5684]E(x56841,f103(x56842))+E(f836(f131(x56843),f836(f836(f144(x56842,x56843),x56844),x56841)),f836(x56844,f836(f131(x56842),x56841)))
% 190.77/190.68 [5787]~P1(f836(x57873,x57874))+P1(f836(f836(f836(f299(x57871),x57872),x57873),x57874))
% 190.77/190.68 [5915]~P18(x59152,x59154,x59151)+E(f836(x59151,f836(f836(f299(x59152),x59153),f178(f906(x59152,a895)))),x59153)
% 190.77/190.68 [5941]~E(x59412,x59413)+P1(f836(f836(f318(x59411),x59412),f836(f836(f299(x59411),x59413),x59414)))
% 190.77/190.68 [5946]~P112(x59461)+E(f836(f836(f74(x59461),x59462),f836(f836(f74(x59461),x59463),x59464)),f836(f836(f74(x59461),x59463),f836(f836(f74(x59461),x59462),x59464)))
% 190.77/190.68 [5947]~P112(x59471)+E(f836(f836(f75(x59471),x59472),f836(f836(f75(x59471),x59473),x59474)),f836(f836(f75(x59471),x59473),f836(f836(f75(x59471),x59472),x59474)))
% 190.77/190.68 [5949]~P108(x59491)+E(f836(f836(f228(x59491),x59492),f836(f836(f228(x59491),x59493),x59494)),f836(f836(f228(x59491),x59493),f836(f836(f228(x59491),x59492),x59494)))
% 190.77/190.68 [5951]~P108(x59511)+E(f836(f836(f223(x59511),x59512),f836(f836(f223(x59511),x59513),x59514)),f836(f836(f223(x59511),x59513),f836(f836(f223(x59511),x59512),x59514)))
% 190.77/190.68 [5953]~P98(x59531)+E(f836(f836(f91(x59531),x59532),f836(f836(f91(x59531),x59533),x59534)),f836(f836(f91(x59531),x59533),f836(f836(f91(x59531),x59532),x59534)))
% 190.77/190.68 [5954]~P99(x59541)+E(f836(f836(f91(x59541),x59542),f836(f836(f91(x59541),x59543),x59544)),f836(f836(f91(x59541),x59543),f836(f836(f91(x59541),x59542),x59544)))
% 190.77/190.68 [5955]~P99(x59551)+E(f836(f836(f92(x59551),x59552),f836(f836(f92(x59551),x59553),x59554)),f836(f836(f92(x59551),x59553),f836(f836(f92(x59551),x59552),x59554)))
% 190.77/190.68 [5957]~P104(x59571)+E(f836(f836(f92(x59571),x59572),f836(f836(f92(x59571),x59573),x59574)),f836(f836(f92(x59571),x59573),f836(f836(f92(x59571),x59572),x59574)))
% 190.77/190.68 [5964]E(x59641,x59642)+E(f160(x59643,x59641,f836(f836(f141(x59643),x59642),x59644)),f836(f836(f141(x59643),x59642),f160(x59643,x59641,x59644)))
% 190.77/190.68 [5979]~P1(f836(x59792,x59793))+E(f836(f126(x59791,x59792),f836(f836(f141(x59791),x59793),x59794)),f836(f836(f141(x59791),x59793),f836(f126(x59791,x59792),x59794)))
% 190.77/190.68 [6119]~P1(f836(x61192,x61193))+E(f167(x61191,x61192,f836(f836(f141(x61191),x61193),x61194)),f836(f836(f141(x61191),x61193),f167(x61191,x61192,x61194)))
% 190.77/190.68 [6183]E(x61831,f178(f906(x61832,a895)))+E(f836(f836(f35(x61832,f906(x61833,a895)),x61831),f836(f16(f906(x61833,a895),x61832),x61834)),x61834)
% 190.77/190.68 [6184]E(x61841,f178(f906(x61842,a895)))+E(f836(f836(f36(x61842,f906(x61843,a895)),x61841),f836(f16(f906(x61843,a895),x61842),x61844)),x61844)
% 190.77/190.68 [6193]~E(x61934,f178(f906(x61932,a895)))+E(f836(f836(f244(x61931,x61932),x61933),f836(f16(f906(x61932,a895),x61931),x61934)),f178(f906(f905(x61931,x61932),a895)))
% 190.77/190.68 [6194]~E(x61943,f178(f906(x61941,a895)))+E(f836(f836(f244(x61941,x61942),x61943),f836(f16(f906(x61942,a895),x61941),x61944)),f178(f906(f905(x61941,x61942),a895)))
% 190.77/190.68 [6250]E(x62501,f2(a899))+E(f836(f836(f128(x62502),x62501),f836(f836(f141(x62502),x62503),x62504)),f836(f836(f128(x62502),f836(f836(f23(a899),x62501),f72(a899))),x62504))
% 190.77/190.68 [6271]E(x62711,f178(f906(x62712,a895)))+E(f836(f300(x62712,x62713,f836(f16(x62713,x62712),x62714)),x62711),f836(f836(f299(x62713),x62714),f178(f906(x62713,a895))))
% 190.77/190.68 [6274]E(f836(f301(x62741,x62742,f836(f16(x62742,x62741),x62743)),x62744),f178(f906(x62741,a895)))+P1(f836(f836(f318(x62742),x62743),x62744))
% 190.77/190.68 [6342]~E(x63423,f178(f906(x63421,a895)))+E(f836(f836(f35(x63421,f906(x63422,a895)),x63423),f836(f16(f906(x63422,a895),x63421),x63424)),f178(f906(x63422,a895)))
% 190.77/190.68 [6343]~E(x63433,f178(f906(x63431,a895)))+E(f836(f836(f36(x63431,f906(x63432,a895)),x63433),f836(f16(f906(x63432,a895),x63431),x63434)),f232(f906(x63432,a895)))
% 190.77/190.68 [6345]~P3(x63451)+E(f41(x63451,f836(f836(f75(x63451),x63452),x63453),f836(f836(f75(x63451),x63452),x63454)),f836(f836(f75(x63451),x63452),f41(x63451,x63453,x63454)))
% 190.77/190.68 [6521]E(f836(f301(x65211,x65212,f836(f16(x65212,x65211),x65213)),x65214),f232(f906(x65211,a895)))+~P1(f836(f836(f318(x65212),x65213),x65214))
% 190.77/190.68 [6545]~P1(f836(f836(f318(x65451),x65452),x65454))+P1(f836(f836(f318(x65451),x65452),f836(f836(f299(x65451),x65453),x65454)))
% 190.77/190.68 [6550]P1(f836(x65501,x65502))+~P1(f836(f150(x65503,x65501),f836(f836(f141(x65503),x65502),x65504)))
% 190.77/190.68 [6559]~E(x65593,f836(f836(f23(a899),f836(f179(f900(x65591)),x65592)),f72(a899)))+E(f104(x65591,f836(f836(f149(x65591,x65592),x65593),x65594)),f104(x65591,x65592))
% 190.77/190.68 [6582]~P108(x65821)+E(f836(f836(f92(f906(x65821,a895)),f836(f291(x65821),x65822)),f293(x65821,x65823,x65824)),f293(x65821,x65823,f836(f836(f228(x65821),x65822),x65824)))
% 190.77/190.68 [6583]~P108(x65831)+E(f836(f836(f92(f906(x65831,a895)),f836(f273(x65831),x65832)),f293(x65831,x65833,x65834)),f293(x65831,f836(f836(f223(x65831),x65832),x65833),x65834))
% 190.77/190.68 [6599]E(f836(f836(f92(f906(x65991,a895)),x65992),f836(f836(f299(x65991),x65993),x65994)),f836(f836(f92(f906(x65991,a895)),x65992),x65994))+P1(f836(f836(f318(x65991),x65993),x65992))
% 190.77/190.68 [6611]E(f160(x66111,x66112,f836(f836(f124(x66111),x66113),x66114)),f836(f836(f124(x66111),x66113),f160(x66111,x66112,x66114)))+P1(f836(f836(f318(x66111),x66112),f836(f162(x66111),x66113)))
% 190.77/190.68 [6616]~P80(x66161)+E(f836(f836(f75(x66161),f836(f836(f234(x66161),x66162),x66163)),f836(f836(f234(x66161),x66162),x66164)),f836(f836(f234(x66161),x66162),f836(f836(f74(a899),x66163),x66164)))
% 190.77/190.68 [6617]~P112(x66171)+E(f836(f836(f75(x66171),f836(f836(f234(x66171),x66172),x66173)),f836(f836(f234(x66171),x66172),x66174)),f836(f836(f234(x66171),x66172),f836(f836(f74(a899),x66173),x66174)))
% 190.77/190.68 [6654]~P112(x66541)+E(f836(f836(f74(x66541),f836(f836(f75(x66541),x66542),x66543)),f836(f836(f75(x66541),x66542),x66544)),f836(f836(f75(x66541),x66542),f836(f836(f74(x66541),x66543),x66544)))
% 190.77/190.68 [6655]~P108(x66551)+E(f836(f836(f223(x66551),f836(f836(f228(x66551),x66552),x66553)),f836(f836(f228(x66551),x66552),x66554)),f836(f836(f228(x66551),x66552),f836(f836(f223(x66551),x66553),x66554)))
% 190.77/190.68 [6656]~P108(x66561)+E(f836(f836(f228(x66561),f836(f836(f223(x66561),x66562),x66563)),f836(f836(f223(x66561),x66562),x66564)),f836(f836(f223(x66561),x66562),f836(f836(f228(x66561),x66563),x66564)))
% 190.77/190.68 [6657]~P102(x66571)+E(f836(f836(f92(x66571),f836(f836(f91(x66571),x66572),x66573)),f836(f836(f91(x66571),x66572),x66574)),f836(f836(f91(x66571),x66572),f836(f836(f92(x66571),x66573),x66574)))
% 190.77/190.68 [6658]~P102(x66581)+E(f836(f836(f91(x66581),f836(f836(f92(x66581),x66582),x66583)),f836(f836(f92(x66581),x66582),x66584)),f836(f836(f92(x66581),x66582),f836(f836(f91(x66581),x66583),x66584)))
% 190.77/190.68 [6692]~P3(x66921)+E(f41(x66921,f836(f836(f75(x66921),x66922),x66923),f836(f836(f75(x66921),x66924),x66923)),f836(f836(f75(x66921),f41(x66921,x66922,x66924)),x66923))
% 190.77/190.68 [6695]~E(f836(f179(f900(x66951)),x66953),f836(f179(f900(x66952)),x66954))+E(f836(f836(f144(f905(x66951,x66952),x66952),f246(x66951,x66952)),f836(f836(f171(x66951,x66952),x66953),x66954)),x66954)
% 190.77/190.68 [6696]~E(f836(f179(f900(x66961)),x66963),f836(f179(f900(x66962)),x66964))+E(f836(f836(f144(f905(x66961,x66962),x66961),f241(x66961,x66962)),f836(f836(f171(x66961,x66962),x66963),x66964)),x66963)
% 190.77/190.68 [6701]P1(f836(f150(x67011,x67012),x67013))+~P1(f836(f150(x67011,x67012),f836(f836(f141(x67011),x67014),x67013)))
% 190.77/190.68 [6702]P1(f836(f150(x67021,x67022),x67023))+~P1(f836(f150(x67021,x67022),f836(f836(f124(x67021),x67024),x67023)))
% 190.77/190.68 [6703]P1(f836(f150(x67031,x67032),x67033))+~P1(f836(f150(x67031,x67032),f836(f836(f124(x67031),x67033),x67034)))
% 190.77/190.68 [6708]~P4(x67081)+E(f41(x67081,f836(f836(f23(x67081),x67082),f41(x67081,x67083,x67084)),x67084),f41(x67081,f836(f836(f23(x67081),x67082),x67083),x67084))
% 190.77/190.68 [6710]~P3(x67101)+E(f41(x67101,f836(f836(f75(x67101),x67102),f41(x67101,x67103,x67104)),x67104),f41(x67101,f836(f836(f75(x67101),x67102),x67103),x67104))
% 190.77/190.68 [6711]~P3(x67111)+E(f41(x67111,f836(f836(f74(x67111),x67112),f41(x67111,x67113,x67114)),x67114),f41(x67111,f836(f836(f74(x67111),x67112),x67113),x67114))
% 190.77/190.68 [6793]~P108(x67931)+E(f836(f836(f92(f906(x67931,a895)),f293(x67931,x67932,x67933)),f836(f291(x67931),x67934)),f293(x67931,x67932,f836(f836(f228(x67931),x67933),x67934)))
% 190.77/190.68 [6794]~P108(x67941)+E(f836(f836(f92(f906(x67941,a895)),f293(x67941,x67942,x67943)),f836(f273(x67941),x67944)),f293(x67941,f836(f836(f223(x67941),x67942),x67944),x67943))
% 190.77/190.68 [6797]~E(f836(f179(f900(x67971)),x67973),f836(f179(f900(x67972)),x67974))+E(f836(f836(f171(x67971,x67972),f836(f158(x67971),x67973)),f836(f158(x67972),x67974)),f836(f158(f905(x67971,x67972)),f836(f836(f171(x67971,x67972),x67973),x67974)))
% 190.77/190.68 [6809]E(x68091,f836(f836(f23(a899),f836(f179(f900(x68092)),x68093)),f72(a899)))+E(f104(x68092,f836(f836(f149(x68092,x68093),x68091),x68094)),f836(f836(f149(x68092,f104(x68092,x68093)),x68091),x68094))
% 190.77/190.68 [6825]~P1(f836(f127(x68252),x68254))+P1(f836(f127(f905(x68251,x68252)),f836(f836(f171(x68251,x68252),x68253),x68254)))
% 190.77/190.68 [6826]~P1(f836(f127(x68261),x68263))+P1(f836(f127(f905(x68261,x68262)),f836(f836(f171(x68261,x68262),x68263),x68264)))
% 190.77/190.68 [7097]E(f836(f836(f31(a899),x70971),x70972),x70973)+~P1(f836(f44(x70971,x70972),f836(f836(f242(a899,a899),x70973),x70974)))
% 190.77/190.68 [7121]E(f41(a899,x71211,x71212),x71213)+~P1(f836(f44(x71211,x71212),f836(f836(f242(a899,a899),x71214),x71213)))
% 190.77/190.68 [7124]P1(f836(f127(x71241),x71242))+~P1(f836(f127(x71243),f836(f836(f144(x71241,x71243),x71244),x71242)))
% 190.77/190.68 [7207]E(f160(x72071,x72072,f836(f836(f124(x72071),x72073),x72074)),f836(f836(f124(x72071),f160(x72071,x72072,x72073)),x72074))+~P1(f836(f836(f318(x72071),x72072),f836(f162(x72071),x72073)))
% 190.77/190.68 [7300]~P4(x73001)+E(f41(x73001,f836(f836(f23(x73001),f41(x73001,x73002,x73003)),x73004),x73003),f41(x73001,f836(f836(f23(x73001),x73002),x73004),x73003))
% 190.77/190.68 [7303]~P3(x73031)+E(f41(x73031,f836(f836(f74(x73031),f41(x73031,x73032,x73033)),x73034),x73033),f41(x73031,f836(f836(f74(x73031),x73032),x73034),x73033))
% 190.77/190.68 [7304]~P3(x73041)+E(f41(x73041,f836(f836(f75(x73041),f41(x73041,x73042,x73043)),x73044),x73043),f41(x73041,f836(f836(f75(x73041),x73042),x73044),x73043))
% 190.77/190.68 [7498]~E(x74981,f836(f836(f141(x74982),x74983),x74984))+~P1(f836(f836(f224(a899),f836(f179(f900(x74982)),x74981)),f836(f179(f900(x74982)),x74984)))
% 190.77/190.68 [7702]P24(x77021,x77022,x77023,f836(f162(x77021),x77024))+~P1(f836(f127(x77022),f836(f836(f144(x77021,x77022),x77023),x77024)))
% 190.77/190.68 [7777]~P1(f836(f836(f224(f906(x77771,a895)),x77772),x77774))+P1(f836(f836(f224(f906(x77771,a895)),x77772),f836(f836(f299(x77771),x77773),x77774)))
% 190.77/190.68 [7813]~P4(x78131)+E(f41(x78131,f836(f836(f23(x78131),f41(x78131,x78132,x78133)),f41(x78131,x78134,x78133)),x78133),f41(x78131,f836(f836(f23(x78131),x78132),x78134),x78133))
% 190.77/190.68 [7814]~P3(x78141)+E(f41(x78141,f836(f836(f74(x78141),f41(x78141,x78142,x78143)),f41(x78141,x78144,x78143)),x78143),f41(x78141,f836(f836(f74(x78141),x78142),x78144),x78143))
% 190.77/190.68 [7815]~P3(x78151)+E(f41(x78151,f836(f836(f75(x78151),f41(x78151,x78152,x78153)),f41(x78151,x78154,x78153)),x78153),f41(x78151,f836(f836(f75(x78151),x78152),x78154),x78153))
% 190.77/190.68 [7919]~E(f836(x79194,f434(x79194,x79193,x79191,x79192)),f178(f906(x79192,a895)))+E(f836(f836(f35(x79191,f906(x79192,a895)),x79193),x79194),f178(f906(x79192,a895)))
% 190.77/190.68 [7920]~E(f836(x79204,f581(x79204,x79203,x79201,x79202)),f232(f906(x79202,a895)))+E(f836(f836(f36(x79201,f906(x79202,a895)),x79203),x79204),f232(f906(x79202,a895)))
% 190.77/190.68 [7921]~E(f836(x79214,f435(x79214,x79213,x79212,x79211)),f178(f906(x79212,a895)))+E(f836(f836(f35(x79211,f906(x79212,a895)),x79213),x79214),f178(f906(x79212,a895)))
% 190.77/190.68 [7922]~E(f836(x79224,f583(x79224,x79223,x79222,x79221)),f232(f906(x79222,a895)))+E(f836(f836(f36(x79221,f906(x79222,a895)),x79223),x79224),f232(f906(x79222,a895)))
% 190.77/190.68 [8312]P1(f836(x83121,x83122))+~P1(f836(f836(f318(x83123),x83122),f836(f836(f92(f906(x83123,a895)),x83124),f836(f252(x83123),x83121))))
% 190.77/190.68 [8349]~P1(f836(f836(f224(f906(x83491,a895)),x83493),x83494))+P1(f836(f836(f224(f906(x83491,a895)),f836(f836(f299(x83491),x83492),x83493)),f836(f836(f299(x83491),x83492),x83494)))
% 190.77/190.68 [8529]P1(f836(x85292,x85293))+E(f836(f836(f128(x85291),f836(f179(f900(x85291)),f167(x85291,x85292,f836(f836(f141(x85291),x85293),x85294)))),f836(f836(f141(x85291),x85293),x85294)),f836(f836(f141(x85291),x85293),x85294))
% 190.77/190.68 [8635]~P1(f836(f836(f225(a899),f836(x86354,x86352)),f836(x86354,x86353)))+P1(f836(f836(f318(f905(x86351,x86351)),f836(f836(f242(x86351,x86351),x86352),x86353)),f836(f836(f278(a899,x86351),a230),x86354)))
% 190.77/190.68 [8731]~P1(f836(x87312,f719(x87314,x87312,x87313,x87311)))+E(f167(x87311,x87312,f836(f836(f124(x87311),x87313),x87314)),f836(f836(f124(x87311),x87313),f167(x87311,x87312,x87314)))
% 190.77/190.68 [8808]P24(f900(x88081),f900(x88082),f836(f144(x88081,x88082),x88083),x88084)+~P24(x88081,x88082,x88083,f32(f906(x88081,a895),f836(f300(f900(x88081),f906(x88081,a895),f162(x88081)),x88084)))
% 190.77/190.68 [8883]~P1(f836(x88832,x88833))+E(f836(f836(f128(x88831),f836(f179(f900(x88831)),f167(x88831,x88832,f836(f836(f141(x88831),x88833),x88834)))),f836(f836(f141(x88831),x88833),x88834)),f836(f836(f128(x88831),f836(f179(f900(x88831)),f167(x88831,x88832,x88834))),x88834))
% 190.77/190.68 [8924]~E(x89242,x89243)+E(f836(f126(x89241,f836(f836(f8(a895,a895,x89241),a312),f836(a314,x89242))),f836(f836(f141(x89241),x89243),x89244)),f836(f126(x89241,f836(f836(f8(a895,a895,x89241),a312),f836(a314,x89242))),x89244))
% 190.77/190.68 [8934]E(f836(f836(f35(x89341,f906(x89342,a895)),x89343),x89344),f178(f906(x89342,a895)))+P1(f836(f836(f318(x89341),f434(x89344,x89343,x89341,x89342)),x89343))
% 190.77/190.68 [8935]E(f836(f836(f36(x89351,f906(x89352,a895)),x89353),x89354),f232(f906(x89352,a895)))+P1(f836(f836(f318(x89351),f581(x89354,x89353,x89351,x89352)),x89353))
% 190.77/190.68 [8936]E(f836(f836(f35(x89361,f906(x89362,a895)),x89363),x89364),f178(f906(x89362,a895)))+P1(f836(f836(f318(x89361),f435(x89364,x89363,x89362,x89361)),x89363))
% 190.77/190.68 [8937]E(f836(f836(f36(x89371,f906(x89372,a895)),x89373),x89374),f232(f906(x89372,a895)))+P1(f836(f836(f318(x89371),f583(x89374,x89373,x89372,x89371)),x89373))
% 190.77/190.68 [8975]P1(f836(f836(f225(a899),f836(x89751,x89752)),f836(x89751,x89753)))+~P1(f836(f836(f318(f905(x89754,x89754)),f836(f836(f242(x89754,x89754),x89752),x89753)),f836(f836(f278(a899,x89754),a230),x89751)))
% 190.77/190.68 [9001]E(f167(x90011,x90012,f836(f836(f124(x90011),x90013),x90014)),f836(f836(f124(x90011),x90013),f167(x90011,x90012,x90014)))+P1(f836(f836(f318(x90011),f719(x90014,x90012,x90013,x90011)),f836(f162(x90011),x90013)))
% 190.77/190.68 [9052]~P25(x90521,x90522,x90523,f232(f906(x90521,a895)),f232(f906(x90522,a895)))+E(f836(f300(x90521,x90522,x90523),f836(f73(f906(x90521,a895)),x90524)),f836(f73(f906(x90522,a895)),f836(f300(x90521,x90522,x90523),x90524)))
% 190.77/190.68 [9156]P1(f836(f836(f318(x91561),f418(x91562,x91563,x91564,x91561)),x91563))+~P1(f836(f836(f318(f906(x91561,a895)),x91564),f836(f836(f56(x91561),x91563),x91562)))
% 190.77/190.68 [9159]E(x91591,x91592)+~P1(f836(f836(f318(f905(x91593,x91593)),f836(f836(f242(x91593,x91593),x91591),x91592)),f836(f836(f173(f905(x91593,x91593),a895),f2(a899)),x91594)))
% 190.77/190.68 [9240]E(f836(f275(x92401,x92401,x92402),f836(f836(f299(x92401),f418(x92402,x92403,x92404,x92401)),f178(f906(x92401,a895)))),x92404)+~P1(f836(f836(f318(f906(x92401,a895)),x92404),f836(f836(f56(x92401),x92403),x92402)))
% 190.77/190.68 [9245]~P1(f836(f836(f318(f905(x92451,x92451)),f836(f836(f242(x92451,x92451),x92453),x92452)),f297(x92451,x92454)))+P1(f836(f836(f318(f905(x92451,x92451)),f836(f836(f242(x92451,x92451),x92452),x92453)),f297(x92451,f836(f276(x92451,x92451),x92454))))
% 190.77/190.68 [9258]~P3(x92581)+E(f836(f836(f74(x92581),f836(f836(f74(x92581),f836(f836(f75(x92581),x92582),f836(f836(f31(x92581),x92583),x92582))),f41(x92581,x92583,x92582))),x92584),f836(f836(f74(x92581),x92583),x92584))
% 190.77/190.68 [9269]~P1(f836(f836(f318(x92691),x92693),x92694))+P1(f836(f836(f318(f906(x92691,a895)),f836(f275(x92691,x92691,x92692),f836(f836(f299(x92691),x92693),f178(f906(x92691,a895))))),f836(f836(f56(x92691),x92694),x92692)))
% 190.77/190.68 [9281]P1(f836(f836(f318(f905(x92811,x92811)),f836(f836(f242(x92811,x92811),x92812),x92813)),f297(x92811,x92814)))+~P1(f836(f836(f318(f905(x92811,x92811)),f836(f836(f242(x92811,x92811),x92813),x92812)),f297(x92811,f836(f276(x92811,x92811),x92814))))
% 190.77/190.68 [9370]E(f836(f836(f149(x93701,f836(f158(x93701),x93702)),f836(f836(f23(a899),f836(f836(f23(a899),f836(f179(f900(x93701)),x93702)),x93703)),f72(a899))),x93704),f836(f158(x93701),f836(f836(f149(x93701,x93702),x93703),x93704)))+~P1(f836(f836(f225(a899),x93703),f836(f179(f900(x93701)),x93702)))
% 190.77/190.68 [9373]~P1(f836(x93732,f712(x93734,x93732,x93733,x93731)))+E(f836(f836(f128(x93731),f836(f179(f900(x93731)),f167(x93731,x93732,f836(f836(f124(x93731),x93733),x93734)))),f836(f836(f124(x93731),x93733),x93734)),f836(f836(f128(x93731),f836(f179(f900(x93731)),f167(x93731,x93732,x93734))),x93734))
% 190.77/190.68 [9419]~P24(x94192,x94191,x94193,f232(f906(x94192,a895)))+P1(f836(f836(f224(f906(x94191,a895)),f836(f300(x94192,x94191,x94193),f836(f73(f906(x94192,a895)),x94194))),f836(f73(f906(x94191,a895)),f836(f300(x94192,x94191,x94193),x94194))))
% 190.77/190.68 [9431]~P5(x94311)+E(f836(f132(x94311,x94312,f836(f7(x94312,x94311,x94311),f836(f836(f8(x94311,f906(x94311,x94311),x94312),f91(x94311)),x94313)),f178(x94311)),x94314),f836(f836(f35(x94312,x94311),f836(f162(x94312),x94314)),x94313))
% 190.77/190.68 [9432]~P5(x94321)+E(f836(f132(x94321,x94322,f836(f7(x94322,x94321,x94321),f836(f836(f8(x94321,f906(x94321,x94321),x94322),f92(x94321)),x94323)),f232(x94321)),x94324),f836(f836(f36(x94322,x94321),f836(f162(x94322),x94324)),x94323))
% 190.77/190.68 [9442]E(f836(f836(f128(x94421),f836(f179(f900(x94421)),f167(x94421,x94422,f836(f836(f124(x94421),x94423),x94424)))),f836(f836(f124(x94421),x94423),x94424)),f836(f836(f128(x94421),f836(f179(f900(x94421)),f167(x94421,x94422,x94424))),x94424))+P1(f836(f836(f318(x94421),f712(x94424,x94422,x94423,x94421)),f836(f162(x94421),x94423)))
% 190.77/190.68 [9512]~P1(f836(f836(f318(f905(f900(x95124),f900(x95124))),f836(f836(f242(f900(x95124),f900(x95124)),x95123),x95122)),f147(x95124,x95121)))+P1(f836(f836(f225(a899),f645(x95121,x95122,x95123,x95124)),f836(f179(f900(x95124)),x95123)))
% 190.77/190.68 [9513]~P3(x95131)+E(f836(f836(f74(x95131),f836(f836(f74(x95131),f836(f836(f75(x95131),f836(f836(f31(x95131),x95132),x95133)),x95133)),f41(x95131,x95132,x95133))),x95134),f836(f836(f74(x95131),x95132),x95134))
% 190.77/190.68 [9542]~P1(f836(f836(f318(f905(f900(x95421),f900(x95421))),f836(f836(f242(f900(x95421),f900(x95421)),x95422),x95423)),f836(f276(f900(x95421),f900(x95421)),f147(x95421,x95424))))+P1(f836(f836(f318(f905(f900(x95421),f900(x95421))),f836(f836(f242(f900(x95421),f900(x95421)),x95422),x95423)),f147(x95421,f836(f276(x95421,x95421),x95424))))
% 190.77/190.68 [9543]P1(f836(f836(f318(f905(f900(x95431),f900(x95431))),f836(f836(f242(f900(x95431),f900(x95431)),x95432),x95433)),f836(f276(f900(x95431),f900(x95431)),f147(x95431,x95434))))+~P1(f836(f836(f318(f905(f900(x95431),f900(x95431))),f836(f836(f242(f900(x95431),f900(x95431)),x95432),x95433)),f147(x95431,f836(f276(x95431,x95431),x95434))))
% 190.77/190.68 [9587]~P1(f836(f836(f318(x95871),x95873),f836(f254(x95871,x95872),x95874)))+P1(f836(f836(f318(f905(x95871,x95872)),f836(f836(f242(x95871,x95872),x95873),f503(x95874,x95872,x95873,x95871))),x95874))
% 190.77/190.68 [9588]~P1(f836(f836(f318(x95881),x95883),f836(f254(x95881,x95882),x95884)))+P1(f836(f836(f318(f905(x95881,x95882)),f836(f836(f242(x95881,x95882),x95883),f504(x95884,x95882,x95883,x95881))),x95884))
% 190.77/190.68 [9748]~P1(f836(f836(f318(f905(x97481,x97481)),f836(f836(f242(x97481,x97481),x97482),x97484)),f836(f836(f279(x97481,x97481,x97481),x97483),f297(x97481,x97483))))+P1(f836(f836(f318(f905(x97481,x97481)),f836(f836(f242(x97481,x97481),x97482),f565(x97483,x97484,x97482,x97481))),x97483))
% 190.77/190.68 [9906]P11(x99061,x99062,x99063,x99064)+P1(f836(f836(f318(f905(x99061,x99061)),f836(f836(f242(x99061,x99061),f822(x99062,x99064,x99063,x99061)),f821(x99062,x99064,x99063,x99061))),x99063))
% 190.77/190.68 [9913]~P1(f836(f836(f318(f905(x99132,x99131)),x99134),f836(f276(x99131,x99132),x99133)))+P1(f836(f836(f318(f905(x99131,x99132)),f836(f836(f242(x99131,x99132),f617(x99133,x99134,x99131,x99132)),f616(x99133,x99134,x99131,x99132))),x99133))
% 190.77/190.68 [9937]~P1(f836(f836(f318(f905(f900(x99371),f900(x99371))),f836(f836(f242(f900(x99371),f900(x99371)),x99374),x99373)),f147(x99371,x99372)))+P1(f836(f836(f318(f905(x99371,x99371)),f836(f836(f242(x99371,x99371),f662(x99372,x99373,x99374,x99371)),f663(x99372,x99373,x99374,x99371))),x99372))
% 190.77/190.68 [10027]~P1(f836(f836(f318(f905(f900(x100271),f900(x100271))),f836(f836(f242(f900(x100271),f900(x100271)),x100272),x100274)),f147(x100271,x100273)))+P1(f836(f836(f318(f905(x100271,x100271)),f836(f836(f242(x100271,x100271),f836(f836(f154(x100271),x100272),f645(x100273,x100274,x100272,x100271))),f646(x100273,x100274,x100272,x100271))),x100273))
% 190.77/190.68 [10047]~P1(f836(f29(x100472),x100474))+E(f836(f836(f836(f60(f906(x100471,a895),x100472,f91(f906(x100471,a895))),f836(f836(f7(x100472,f906(x100471,a895),f906(x100471,a895)),f836(f836(f8(x100471,f906(f906(x100471,a895),f906(x100471,a895)),x100472),f299(x100471)),x100473)),f178(f906(x100471,a895)))),f178(f906(x100471,a895))),x100474),f836(f300(x100472,x100471,x100473),x100474))
% 190.77/190.68 [10158]~P24(x101581,x101582,x101583,f232(f906(x101581,a895)))+P1(f836(f836(f224(f906(x101581,a895)),f836(f301(x101581,x101582,x101583),f836(f836(f299(x101582),x101584),f178(f906(x101582,a895))))),f836(f836(f299(x101581),f79(x101581,f836(f836(f7(x101581,x101582,a895),f836(f836(f8(x101582,f906(x101582,a895),x101581),a314),x101583)),x101584))),f178(f906(x101581,a895)))))
% 190.77/190.68 [5695]~E(f836(f836(f124(x56951),x56952),x56954),x56953)+E(f836(f836(f165(x56951),f836(f179(f900(x56951)),x56952)),x56953),x56952)
% 190.77/190.68 [5696]~E(f836(f836(f124(x56962),x56963),x56961),x56964)+E(x56961,f836(f836(f128(x56962),f836(f179(f900(x56962)),x56963)),x56964))
% 190.77/190.68 [5707]~E(x57074,f2(a899))+E(f836(f836(f154(x57071),f836(f836(f141(x57071),x57072),x57073)),x57074),x57072)
% 190.77/190.68 [6263]~P112(x62631)+E(f836(f836(f234(x62631),f836(f836(f234(x62631),x62632),x62633)),x62634),f836(f836(f234(x62631),x62632),f836(f836(f75(a899),x62633),x62634)))
% 190.77/190.68 [6264]~P80(x62641)+E(f836(f836(f234(x62641),f836(f836(f234(x62641),x62642),x62643)),x62644),f836(f836(f234(x62641),x62642),f836(f836(f75(a899),x62643),x62644)))
% 190.77/190.68 [6272]E(x62721,f2(a899))+E(f836(f836(f154(x62722),f836(f836(f141(x62722),x62723),x62724)),x62721),f836(f836(f154(x62722),x62724),f836(f836(f23(a899),x62721),f72(a899))))
% 190.77/190.68 [6300]~P122(x63001)+E(f836(f836(f281(x63001),f836(f836(f75(x63001),x63002),x63003)),x63004),f836(f836(f75(x63001),x63002),f836(f836(f281(x63001),x63003),x63004)))
% 190.77/190.68 [6301]~P68(x63011)+E(f836(f836(f74(x63011),f836(f836(f74(x63011),x63012),x63013)),x63014),f836(f836(f74(x63011),x63012),f836(f836(f74(x63011),x63013),x63014)))
% 190.77/190.68 [6302]~P112(x63021)+E(f836(f836(f74(x63021),f836(f836(f74(x63021),x63022),x63023)),x63024),f836(f836(f74(x63021),x63022),f836(f836(f74(x63021),x63023),x63024)))
% 190.77/190.68 [6303]~P112(x63031)+E(f836(f836(f75(x63031),f836(f836(f75(x63031),x63032),x63033)),x63034),f836(f836(f75(x63031),x63032),f836(f836(f75(x63031),x63033),x63034)))
% 190.77/190.68 [6304]~P71(x63041)+E(f836(f836(f75(x63041),f836(f836(f75(x63041),x63042),x63043)),x63044),f836(f836(f75(x63041),x63042),f836(f836(f75(x63041),x63043),x63044)))
% 190.77/190.68 [6307]~P108(x63071)+E(f836(f836(f228(x63071),f836(f836(f228(x63071),x63072),x63073)),x63074),f836(f836(f228(x63071),x63072),f836(f836(f228(x63071),x63073),x63074)))
% 190.77/190.68 [6309]~P108(x63091)+E(f836(f836(f223(x63091),f836(f836(f223(x63091),x63092),x63093)),x63094),f836(f836(f223(x63091),x63092),f836(f836(f223(x63091),x63093),x63094)))
% 190.77/190.68 [6311]~P98(x63111)+E(f836(f836(f91(x63111),f836(f836(f91(x63111),x63112),x63113)),x63114),f836(f836(f91(x63111),x63112),f836(f836(f91(x63111),x63113),x63114)))
% 190.77/190.68 [6312]~P99(x63121)+E(f836(f836(f91(x63121),f836(f836(f91(x63121),x63122),x63123)),x63124),f836(f836(f91(x63121),x63122),f836(f836(f91(x63121),x63123),x63124)))
% 190.77/190.68 [6313]~P99(x63131)+E(f836(f836(f92(x63131),f836(f836(f92(x63131),x63132),x63133)),x63134),f836(f836(f92(x63131),x63132),f836(f836(f92(x63131),x63133),x63134)))
% 190.77/190.68 [6315]~P104(x63151)+E(f836(f836(f92(x63151),f836(f836(f92(x63151),x63152),x63153)),x63154),f836(f836(f92(x63151),x63152),f836(f836(f92(x63151),x63153),x63154)))
% 190.77/190.68 [6324]~P3(x63241)+E(f41(x63241,f836(f836(f74(x63241),x63242),f836(f836(f75(x63241),x63243),x63244)),x63244),f41(x63241,x63242,x63244))
% 190.77/190.68 [6325]~P3(x63251)+E(f41(x63251,f836(f836(f74(x63251),x63252),f836(f836(f75(x63251),x63253),x63254)),x63253),f41(x63251,x63252,x63253))
% 190.77/190.68 [6468]E(f836(f836(f154(x64681),f836(f836(f165(x64681),x64682),x64683)),x64684),f836(f836(f154(x64681),x64683),x64684))+~P1(f836(f836(f225(a899),x64684),x64682))
% 190.77/190.68 [6650]~E(x66502,x66504)+P1(f836(f836(f162(x66501),f836(f836(f141(x66501),x66502),x66503)),x66504))
% 190.77/190.68 [6652]~P112(x66521)+E(f836(f836(f74(x66521),f836(f836(f74(x66521),x66522),x66523)),x66524),f836(f836(f74(x66521),f836(f836(f74(x66521),x66522),x66524)),x66523))
% 190.77/190.68 [6653]~P112(x66531)+E(f836(f836(f75(x66531),f836(f836(f75(x66531),x66532),x66533)),x66534),f836(f836(f75(x66531),f836(f836(f75(x66531),x66532),x66534)),x66533))
% 190.77/190.68 [6714]~P144(x67142)+E(f836(f836(f6(x67141,x67142),f836(f16(x67142,x67141),x67143)),x67144),f836(f836(f75(x67142),f836(f90(x67142),f836(f30(x67141),x67144))),x67143))
% 190.77/190.68 [6891]E(f836(f836(f92(f906(x68911,a895)),f836(f836(f299(x68911),x68912),x68913)),x68914),f836(f836(f92(f906(x68911,a895)),x68913),x68914))+P1(f836(f836(f318(x68911),x68912),x68914))
% 190.77/190.68 [6960]~P65(x69601)+E(f836(f836(f228(x69601),f836(f836(f23(x69601),x69602),x69603)),f836(f836(f23(x69601),x69604),x69603)),f836(f836(f23(x69601),f836(f836(f228(x69601),x69602),x69604)),x69603))
% 190.77/190.68 [6961]~P65(x69611)+E(f836(f836(f223(x69611),f836(f836(f23(x69611),x69612),x69613)),f836(f836(f23(x69611),x69614),x69613)),f836(f836(f23(x69611),f836(f836(f223(x69611),x69612),x69614)),x69613))
% 190.77/190.68 [6962]~P84(x69621)+E(f836(f836(f228(x69621),f836(f836(f74(x69621),x69622),x69623)),f836(f836(f74(x69621),x69624),x69623)),f836(f836(f74(x69621),f836(f836(f228(x69621),x69622),x69624)),x69623))
% 190.77/190.68 [6963]~P84(x69631)+E(f836(f836(f223(x69631),f836(f836(f74(x69631),x69632),x69633)),f836(f836(f74(x69631),x69634),x69633)),f836(f836(f74(x69631),f836(f836(f223(x69631),x69632),x69634)),x69633))
% 190.77/190.68 [6965]~P113(x69651)+E(f836(f836(f74(x69651),f836(f836(f75(x69651),x69652),x69653)),f836(f836(f75(x69651),x69654),x69653)),f836(f836(f75(x69651),f836(f836(f74(x69651),x69652),x69654)),x69653))
% 190.77/190.68 [6966]~P112(x69661)+E(f836(f836(f75(x69661),f836(f836(f234(x69661),x69662),x69663)),f836(f836(f234(x69661),x69664),x69663)),f836(f836(f234(x69661),f836(f836(f75(x69661),x69662),x69664)),x69663))
% 190.77/190.68 [6967]~P74(x69671)+E(f836(f836(f75(x69671),f836(f836(f234(x69671),x69672),x69673)),f836(f836(f234(x69671),x69674),x69673)),f836(f836(f234(x69671),f836(f836(f75(x69671),x69672),x69674)),x69673))
% 190.77/190.68 [6968]~P61(x69681)+E(f836(f836(f281(x69681),f836(f836(f234(x69681),x69682),x69683)),f836(f836(f234(x69681),x69684),x69683)),f836(f836(f234(x69681),f836(f836(f281(x69681),x69682),x69684)),x69683))
% 190.77/190.68 [6969]~P108(x69691)+E(f836(f836(f223(x69691),f836(f836(f228(x69691),x69692),x69693)),f836(f836(f228(x69691),x69694),x69693)),f836(f836(f228(x69691),f836(f836(f223(x69691),x69692),x69694)),x69693))
% 190.77/190.68 [6970]~P122(x69701)+E(f836(f836(f23(x69701),f836(f836(f281(x69701),x69702),x69703)),f836(f836(f281(x69701),x69704),x69703)),f836(f836(f281(x69701),f836(f836(f23(x69701),x69702),x69704)),x69703))
% 190.77/190.68 [6971]~P122(x69711)+E(f836(f836(f74(x69711),f836(f836(f281(x69711),x69712),x69713)),f836(f836(f281(x69711),x69714),x69713)),f836(f836(f281(x69711),f836(f836(f74(x69711),x69712),x69714)),x69713))
% 190.77/190.68 [6972]~P108(x69721)+E(f836(f836(f228(x69721),f836(f836(f223(x69721),x69722),x69723)),f836(f836(f223(x69721),x69724),x69723)),f836(f836(f223(x69721),f836(f836(f228(x69721),x69722),x69724)),x69723))
% 190.77/190.68 [6973]~P102(x69731)+E(f836(f836(f92(x69731),f836(f836(f91(x69731),x69732),x69733)),f836(f836(f91(x69731),x69734),x69733)),f836(f836(f91(x69731),f836(f836(f92(x69731),x69732),x69734)),x69733))
% 190.77/190.68 [6974]~P102(x69741)+E(f836(f836(f91(x69741),f836(f836(f92(x69741),x69742),x69743)),f836(f836(f92(x69741),x69744),x69743)),f836(f836(f92(x69741),f836(f836(f91(x69741),x69742),x69744)),x69743))
% 190.77/190.68 [6975]~P112(x69751)+E(f836(f836(f74(x69751),f836(f836(f75(x69751),x69752),x69753)),f836(f836(f75(x69751),x69754),x69753)),f836(f836(f75(x69751),f836(f836(f74(x69751),x69752),x69754)),x69753))
% 190.77/190.68 [7009]E(f836(f836(f149(x70091,x70092),x70093),x70094),x70092)+~P1(f836(f836(f224(a899),f836(f179(f900(x70091)),x70092)),x70093))
% 190.77/190.68 [7036]~P1(f836(x70363,x70364))+P1(f836(f836(f836(f91(f906(x70361,a895)),x70362),x70363),x70364))
% 190.77/190.68 [7038]~P1(f836(x70382,x70384))+P1(f836(f836(f836(f91(f906(x70381,a895)),x70382),x70383),x70384))
% 190.77/190.68 [7058]E(f836(f836(f154(x70581),f836(f836(f124(x70581),x70582),x70583)),x70584),f836(f836(f154(x70581),x70582),x70584))+~P1(f836(f836(f225(a899),x70584),f836(f179(f900(x70581)),x70582)))
% 190.77/190.68 [7069]E(f836(f836(f23(f906(x70691,a895)),f836(f836(f299(x70691),x70692),x70693)),x70694),f836(f836(f23(f906(x70691,a895)),x70693),x70694))+~P1(f836(f836(f318(x70691),x70692),x70694))
% 190.77/190.68 [7110]~E(f129(a899,f836(f292(a899,x71101),x71102)),f836(f836(f141(a899),x71104),x71103))+E(f129(a899,f836(f292(a899,f836(f836(f74(a899),x71101),f72(a899))),x71102)),x71103)
% 190.77/190.68 [7132]~P1(f836(f836(f162(x71321),x71323),x71324))+P1(f836(f836(f162(x71321),f836(f836(f141(x71321),x71322),x71323)),x71324))
% 190.77/190.68 [7182]E(x71821,f2(a899))+E(f836(f836(f141(x71822),x71823),f836(f836(f165(x71822),f836(f836(f23(a899),x71821),f72(a899))),x71824)),f836(f836(f165(x71822),x71821),f836(f836(f141(x71822),x71823),x71824)))
% 190.77/190.68 [7284]E(f836(f836(f154(x72841),x72842),f836(f836(f23(a899),x72843),f836(f179(f900(x72841)),x72844))),f836(f836(f154(x72841),f836(f836(f124(x72841),x72844),x72842)),x72843))+P1(f836(f836(f225(a899),x72843),f836(f179(f900(x72841)),x72844)))
% 190.77/190.68 [7312]E(f836(f836(f92(f906(x73121,a895)),x73122),f836(f836(f299(x73121),x73123),x73124)),f836(f836(f299(x73121),x73123),f836(f836(f92(f906(x73121,a895)),x73122),x73124)))+~P1(f836(f836(f318(x73121),x73123),x73122))
% 190.77/190.68 [7350]E(f836(f836(f154(x73501),f836(f836(f149(x73501,x73502),x73503),x73504)),x73503),x73504)+~P1(f836(f836(f225(a899),x73503),f836(f179(f900(x73501)),x73502)))
% 190.77/190.68 [7372]E(x73721,f178(f906(x73722,a895)))+E(f836(f300(f905(x73723,x73722),x73723,f241(x73723,x73722)),f836(f836(f244(x73723,x73722),x73724),f836(f16(f906(x73722,a895),x73723),x73721))),x73724)
% 190.77/190.68 [7373]E(x73731,f178(f906(x73732,a895)))+E(f836(f300(f905(x73732,x73733),x73733,f246(x73732,x73733)),f836(f836(f244(x73732,x73733),x73731),f836(f16(f906(x73733,a895),x73732),x73734))),x73734)
% 190.77/190.68 [7448]E(f836(f836(f23(f906(x74481,a895)),f836(f836(f299(x74481),x74482),x74483)),x74484),f836(f836(f299(x74481),x74482),f836(f836(f23(f906(x74481,a895)),x74483),x74484)))+P1(f836(f836(f318(x74481),x74482),x74484))
% 190.77/190.68 [7484]~E(x74844,f178(f906(x74842,a895)))+E(f836(f300(f905(x74841,x74842),x74841,f241(x74841,x74842)),f836(f836(f244(x74841,x74842),x74843),f836(f16(f906(x74842,a895),x74841),x74844))),f178(f906(x74841,a895)))
% 190.77/190.68 [7485]~E(x74853,f178(f906(x74851,a895)))+E(f836(f300(f905(x74851,x74852),x74852,f246(x74851,x74852)),f836(f836(f244(x74851,x74852),x74853),f836(f16(f906(x74852,a895),x74851),x74854))),f178(f906(x74852,a895)))
% 190.77/190.68 [7537]~P1(f836(f836(f318(x75371),x75372),x75374))+P1(f836(f836(f318(x75371),x75372),f836(f836(f91(f906(x75371,a895)),x75373),x75374)))
% 190.77/190.68 [7540]~P1(f836(f836(f318(x75401),x75402),x75403))+P1(f836(f836(f318(x75401),x75402),f836(f836(f91(f906(x75401,a895)),x75403),x75404)))
% 190.77/190.68 [7558]E(f836(f836(f92(f906(x75581,a895)),f836(f836(f299(x75581),x75582),x75583)),x75584),f836(f836(f299(x75581),x75582),f836(f836(f92(f906(x75581,a895)),x75583),x75584)))+~P1(f836(f836(f318(x75581),x75582),x75584))
% 190.77/190.68 [7835]P1(f836(x78351,x78352))+~P1(f836(f836(f836(f92(f906(x78353,a895)),x78354),x78351),x78352))
% 190.77/190.68 [7836]P1(f836(x78361,x78362))+~P1(f836(f836(f836(f92(f906(x78363,a895)),x78361),x78364),x78362))
% 190.77/190.68 [7837]E(f836(f836(f6(x78371,a899),x78372),f836(f836(f23(f906(x78371,a895)),x78373),f836(f836(f299(x78371),x78374),f178(f906(x78371,a895))))),f836(f836(f6(x78371,a899),x78372),x78373))+P1(f836(f836(f318(x78371),x78374),x78373))
% 190.77/190.68 [7842]~P73(x78421)+E(f836(f155(x78421),f836(f836(f144(a899,x78421),x78422),f129(a899,f836(f292(a899,x78423),x78424)))),f836(f836(f6(a899,x78421),x78422),f836(f162(a899),f129(a899,f836(f292(a899,x78423),x78424)))))
% 190.77/190.68 [7843]~P73(x78431)+E(f836(f836(f6(a899,x78431),x78432),f836(f162(a899),f129(a899,f836(f292(a899,x78433),x78434)))),f836(f155(x78431),f836(f836(f144(a899,x78431),x78432),f129(a899,f836(f292(a899,x78433),x78434)))))
% 190.77/190.68 [7957]~E(x79573,x79574)+P1(f836(f57(x79571,x79572,f836(f836(f299(x79571),x79573),f178(f906(x79571,a895)))),x79574))
% 190.77/190.68 [8054]P1(f836(f836(f318(x80541),x80542),f836(f162(x80541),x80543)))+~P1(f836(f836(f318(x80541),x80542),f836(f162(x80541),f836(f836(f165(x80541),x80544),x80543))))
% 190.77/190.68 [8055]P1(f836(f836(f318(x80551),x80552),f836(f162(x80551),x80553)))+~P1(f836(f836(f318(x80551),x80552),f836(f162(x80551),f836(f836(f128(x80551),x80554),x80553))))
% 190.77/190.68 [8125]P1(f836(f836(f318(x81251),x81252),x81253))+~P1(f836(f836(f318(x81251),x81252),f836(f836(f23(f906(x81251,a895)),x81253),x81254)))
% 190.77/190.68 [8127]P1(f836(f836(f318(x81271),x81272),x81273))+~P1(f836(f836(f318(x81271),x81272),f836(f836(f92(f906(x81271,a895)),x81274),x81273)))
% 190.77/190.68 [8130]P1(f836(f836(f318(x81301),x81302),x81303))+~P1(f836(f836(f318(x81301),x81302),f836(f836(f92(f906(x81301,a895)),x81303),x81304)))
% 190.77/190.68 [8145]E(f836(f836(f124(x81451),f836(f836(f165(x81451),x81452),x81453)),f836(f836(f141(x81451),x81454),f836(f836(f128(x81451),f836(a102,x81452)),x81453))),f836(f836(f149(x81451,x81453),x81452),x81454))+~P1(f836(f836(f225(a899),x81452),f836(f179(f900(x81451)),x81453)))
% 190.77/190.68 [8168]P1(f836(f836(f318(x81681),x81682),x81683))+~P1(f836(f836(f224(f906(x81681,a895)),f836(f836(f299(x81681),x81682),x81684)),x81683))
% 190.77/190.68 [8205]~P1(f836(f836(f318(x82051),x82052),x82053))+~P1(f836(f836(f318(x82051),x82052),f836(f836(f23(f906(x82051,a895)),x82054),x82053)))
% 190.77/190.68 [8238]~P1(f836(f836(f225(a899),x82384),f836(f179(f900(x82381)),x82383)))+P1(f836(f836(f318(x82381),x82382),f836(f162(x82381),f836(f836(f149(x82381,x82383),x82384),x82382))))
% 190.77/190.68 [8291]E(f836(f836(f154(x82911),f836(f836(f128(x82911),x82912),x82913)),x82914),f836(f836(f154(x82911),x82913),f836(f836(f74(a899),x82912),x82914)))+~P1(f836(f836(f224(a899),f836(f836(f74(a899),x82912),x82914)),f836(f179(f900(x82911)),x82913)))
% 190.77/190.68 [8300]~P144(x83002)+E(f836(f836(f6(x83001,x83002),f836(f836(f8(a899,x83002,x83001),f90(x83002)),x83003)),x83004),f836(f90(x83002),f836(f836(f6(x83001,a899),x83003),x83004)))
% 190.77/190.68 [8301]~P128(x83012)+E(f836(f836(f6(x83011,x83012),f836(f836(f8(a1,x83012,x83011),f93(x83012)),x83013)),x83014),f836(f93(x83012),f836(f836(f6(x83011,a1),x83013),x83014)))
% 190.77/190.68 [8351]~P64(x83512)+E(f836(f836(f9(x83511,x83512),f836(f836(f8(x83512,x83512,x83511),f70(x83512)),x83513)),x83514),f836(f70(x83512),f836(f836(f9(x83511,x83512),x83513),x83514)))
% 190.77/190.68 [8352]~P67(x83522)+E(f836(f836(f6(x83521,x83522),f836(f836(f8(x83522,x83522,x83521),f73(x83522)),x83523)),x83524),f836(f73(x83522),f836(f836(f6(x83521,x83522),x83523),x83524)))
% 190.77/190.68 [8355]E(f836(f836(f6(x83551,a899),x83552),f836(f836(f23(f906(x83551,a895)),x83553),f836(f836(f299(x83551),x83554),f178(f906(x83551,a895))))),f836(f836(f23(a899),f836(f836(f6(x83551,a899),x83552),x83553)),f836(x83552,x83554)))+~P1(f836(f836(f318(x83551),x83554),x83553))
% 190.77/190.68 [8374]P1(f836(f836(f224(f906(x83741,a895)),x83742),x83743))+~P1(f836(f836(f224(f906(x83741,a895)),f836(f836(f299(x83741),x83744),x83742)),x83743))
% 190.77/190.68 [8498]~E(f836(f300(x84982,x84983,x84981),f232(f906(x84982,a895))),f232(f906(x84983,a895)))+E(f836(x84981,f836(f85(x84982,x84983,f232(f906(x84982,a895)),x84981),x84984)),x84984)
% 190.77/190.68 [8581]P36(x85811,x85812)+~P36(x85811,f836(f836(f299(f905(x85811,x85811)),f836(f836(f242(x85811,x85811),x85813),x85814)),x85812))
% 190.77/190.68 [8582]P57(x85821,x85822)+~P57(x85821,f836(f836(f299(f905(x85821,x85821)),f836(f836(f242(x85821,x85821),x85823),x85824)),x85822))
% 190.77/190.68 [8587]~P108(x85871)+E(f836(f836(f138(x85871,x85871,f5(x85871)),x85872),f836(f836(f138(x85871,x85871,f5(x85871)),x85873),x85874)),f836(f836(f138(x85871,x85871,f5(x85871)),x85873),f836(f836(f138(x85871,x85871,f5(x85871)),x85872),x85874)))
% 190.77/190.68 [8602]E(x86021,x86022)+~P1(f836(f57(x86023,x86024,f836(f836(f299(x86023),x86021),f178(f906(x86023,a895)))),x86022))
% 190.77/190.68 [8611]E(f836(f836(f124(x86111),f836(f836(f165(x86111),x86112),x86113)),f836(f836(f165(x86111),x86114),f836(f836(f128(x86111),x86112),x86113))),f836(f836(f165(x86111),f836(f836(f74(a899),x86112),x86114)),x86113))+~P1(f836(f836(f224(a899),f836(f836(f74(a899),x86112),x86114)),f836(f179(f900(x86111)),x86113)))
% 190.77/190.68 [8651]P1(f836(f29(x86511),x86512))+~E(x86512,f836(f300(a899,x86511,x86513),f836(f252(a899),f836(f836(f7(a899,a899,a895),f225(a899)),x86514))))
% 190.77/190.68 [8671]~P91(x86711)+E(f836(f132(x86711,x86711,f74(x86711),f836(f836(f74(x86711),x86712),x86713)),x86714),f836(f836(f74(x86711),x86712),f836(f132(x86711,x86711,f74(x86711),x86713),x86714)))
% 190.77/190.68 [8707]P1(f836(f836(f224(f906(x87071,a895)),f836(f254(x87071,x87072),x87073)),f836(f254(x87071,x87072),x87074)))+~P1(f836(f836(f224(f906(f905(x87071,x87072),a895)),x87073),x87074))
% 190.77/190.68 [8719]~P1(f836(f836(f224(a899),x87192),x87194))+P1(f836(f836(f224(f906(x87191,a895)),f836(f162(x87191),f836(f836(f165(x87191),x87192),x87193))),f836(f162(x87191),f836(f836(f165(x87191),x87194),x87193))))
% 190.77/190.68 [8720]~P1(f836(f836(f224(a899),x87204),x87202))+P1(f836(f836(f224(f906(x87201,a895)),f836(f162(x87201),f836(f836(f128(x87201),x87202),x87203))),f836(f162(x87201),f836(f836(f128(x87201),x87204),x87203))))
% 190.77/190.68 [8777]~P1(f836(f29(x87771),f836(f836(f23(f906(x87771,a895)),x87772),x87774)))+P1(f836(f29(x87771),f836(f836(f23(f906(x87771,a895)),x87772),f836(f836(f299(x87771),x87773),x87774))))
% 190.77/190.68 [8819]P1(f836(f836(f318(f905(x88191,x88191)),x88192),f297(x88191,x88193)))+~P1(f836(f836(f318(f905(x88191,x88191)),x88192),f836(f836(f173(f905(x88191,x88191),a895),x88194),x88193)))
% 190.77/190.68 [8905]~P1(f836(f29(x89051),f836(f836(f23(f906(x89051,a895)),x89052),f836(f836(f299(x89051),x89054),x89053))))+P1(f836(f29(x89051),f836(f836(f23(f906(x89051,a895)),x89052),x89053)))
% 190.77/190.68 [9116]~P108(x91161)+P1(f836(f836(f224(x91161),f836(f836(f223(x91161),x91162),f836(f836(f228(x91161),x91163),x91164))),f836(f836(f228(x91161),f836(f836(f223(x91161),x91162),x91163)),f836(f836(f223(x91161),x91162),x91164))))
% 190.77/190.68 [9117]~P99(x91171)+P1(f836(f836(f224(x91171),f836(f836(f91(x91171),x91172),f836(f836(f92(x91171),x91173),x91174))),f836(f836(f92(x91171),f836(f836(f91(x91171),x91172),x91173)),f836(f836(f91(x91171),x91172),x91174))))
% 190.77/190.68 [9265]E(x92651,x92652)+~P1(f836(f836(f318(f905(x92653,x92653)),f836(f836(f242(x92653,x92653),x92651),x92652)),f836(f162(f905(x92653,x92653)),f836(f836(f171(x92653,x92653),x92654),x92654))))
% 190.77/190.68 [9296]~P1(f836(f836(f318(f905(x92961,x92961)),f836(f836(f242(x92961,x92961),x92963),x92962)),f297(x92961,x92964)))+~P36(x92961,f836(f836(f299(f905(x92961,x92961)),f836(f836(f242(x92961,x92961),x92962),x92963)),x92964))
% 190.77/190.68 [9297]~P1(f836(f836(f318(f905(x92971,x92971)),f836(f836(f242(x92971,x92971),x92973),x92972)),f297(x92971,x92974)))+~P57(x92971,f836(f836(f299(f905(x92971,x92971)),f836(f836(f242(x92971,x92971),x92972),x92973)),x92974))
% 190.77/190.68 [9301]E(x93011,x93012)+E(f836(f126(x93013,f836(f836(f8(a895,a895,x93013),a312),f836(a314,x93011))),f836(f836(f141(x93013),x93012),x93014)),f836(f836(f141(x93013),x93012),f836(f126(x93013,f836(f836(f8(a895,a895,x93013),a312),f836(a314,x93011))),x93014)))
% 190.77/190.68 [9332]~P25(x93322,x93321,x93323,f232(f906(x93322,a895)),f232(f906(x93321,a895)))+E(f836(f300(x93321,x93322,f85(x93322,x93321,f232(f906(x93322,a895)),x93323)),x93324),f836(f301(x93322,x93321,x93323),x93324))
% 190.77/190.68 [9348]~P108(x93481)+P1(f836(f836(f224(x93481),f836(f836(f223(x93481),f836(f836(f228(x93481),x93482),x93483)),f836(f836(f228(x93481),x93482),x93484))),f836(f836(f228(x93481),x93482),f836(f836(f223(x93481),x93483),x93484))))
% 190.77/190.68 [9349]~P99(x93491)+P1(f836(f836(f224(x93491),f836(f836(f91(x93491),f836(f836(f92(x93491),x93492),x93493)),f836(f836(f92(x93491),x93492),x93494))),f836(f836(f92(x93491),x93492),f836(f836(f91(x93491),x93493),x93494))))
% 190.77/190.68 [9413]~P25(x94132,x94131,x94134,f232(f906(x94132,a895)),f232(f906(x94131,a895)))+E(f836(f252(x94131),f836(f836(f8(x94132,a895,x94131),x94133),f85(x94132,x94131,f232(f906(x94132,a895)),x94134))),f836(f300(x94132,x94131,x94134),f836(f252(x94132),x94133)))
% 190.77/190.68 [9427]~E(f836(f300(x94272,x94271,x94273),f232(f906(x94272,a895))),f232(f906(x94271,a895)))+P1(f836(f836(f224(f906(x94271,a895)),f836(f73(f906(x94271,a895)),f836(f300(x94272,x94271,x94273),x94274))),f836(f300(x94272,x94271,x94273),f836(f73(f906(x94272,a895)),x94274))))
% 190.77/190.68 [9761]P1(f836(f836(f318(f905(x97611,x97611)),f836(f836(f242(x97611,x97611),x97612),x97613)),f836(f276(x97611,x97611),f836(f836(f279(x97611,x97611,x97611),x97614),f297(x97611,x97614)))))+~P1(f836(f836(f318(f905(x97611,x97611)),f836(f836(f242(x97611,x97611),x97612),x97613)),f836(f836(f279(x97611,x97611,x97611),f836(f276(x97611,x97611),x97614)),f297(x97611,f836(f276(x97611,x97611),x97614)))))
% 190.77/190.68 [9762]~P1(f836(f836(f318(f905(x97621,x97621)),f836(f836(f242(x97621,x97621),x97622),x97623)),f836(f276(x97621,x97621),f836(f836(f279(x97621,x97621,x97621),x97624),f297(x97621,x97624)))))+P1(f836(f836(f318(f905(x97621,x97621)),f836(f836(f242(x97621,x97621),x97622),x97623)),f836(f836(f279(x97621,x97621,x97621),f836(f276(x97621,x97621),x97624)),f297(x97621,f836(f276(x97621,x97621),x97624)))))
% 190.77/190.68 [9783]~P1(f836(f836(f318(x97832),x97834),f836(f274(x97831,x97832),x97833)))+P1(f836(f836(f318(f905(x97831,x97832)),f836(f836(f242(x97831,x97832),f495(x97833,x97831,x97834,x97832)),x97834)),x97833))
% 190.77/190.68 [9784]~P1(f836(f836(f318(x97842),x97844),f836(f274(x97841,x97842),x97843)))+P1(f836(f836(f318(f905(x97841,x97842)),f836(f836(f242(x97841,x97842),f496(x97843,x97841,x97844,x97842)),x97844)),x97843))
% 190.77/190.68 [9809]~P1(f836(f836(f318(x98091),x98094),f836(f836(f91(f906(x98091,a895)),x98092),x98093)))+P1(f836(f836(f836(f91(f906(x98091,a895)),f836(f836(f7(x98091,f906(x98091,a895),a895),f318(x98091)),x98092)),f836(f836(f7(x98091,f906(x98091,a895),a895),f318(x98091)),x98093)),x98094))
% 190.77/190.68 [9810]~P1(f836(f836(f318(x98101),x98104),f836(f836(f92(f906(x98101,a895)),x98102),x98103)))+P1(f836(f836(f836(f92(f906(x98101,a895)),f836(f836(f7(x98101,f906(x98101,a895),a895),f318(x98101)),x98102)),f836(f836(f7(x98101,f906(x98101,a895),a895),f318(x98101)),x98103)),x98104))
% 190.77/190.68 [9890]~P1(f836(f836(f318(f905(x98901,x98901)),f836(f836(f242(x98901,x98901),x98904),x98903)),f836(f836(f279(x98901,x98901,x98901),x98902),f297(x98901,x98902))))+P1(f836(f836(f318(f905(x98901,x98901)),f836(f836(f242(x98901,x98901),f574(x98902,x98903,x98904,x98901)),x98903)),x98902))
% 190.77/190.68 [9925]P1(f836(f836(f318(x99251),x99252),f836(f836(f91(f906(x99251,a895)),x99253),x99254)))+~P1(f836(f836(f836(f91(f906(x99251,a895)),f836(f836(f7(x99251,f906(x99251,a895),a895),f318(x99251)),x99253)),f836(f836(f7(x99251,f906(x99251,a895),a895),f318(x99251)),x99254)),x99252))
% 190.77/190.68 [9926]P1(f836(f836(f318(x99261),x99262),f836(f836(f92(f906(x99261,a895)),x99263),x99264)))+~P1(f836(f836(f836(f92(f906(x99261,a895)),f836(f836(f7(x99261,f906(x99261,a895),a895),f318(x99261)),x99263)),f836(f836(f7(x99261,f906(x99261,a895),a895),f318(x99261)),x99264)),x99262))
% 190.77/190.68 [10208]P31(x102081,f836(f836(f7(x102081,f906(f905(x102081,x102081),a895),f906(x102081,a895)),f836(f836(f8(f906(x102081,f906(f906(f905(x102081,x102081),a895),a895)),f906(f906(f905(x102081,x102081),a895),f906(x102081,a895)),x102081),f7(x102081,f906(f905(x102081,x102081),a895),a895)),f836(f836(f8(f906(x102081,f905(x102081,x102081)),f906(x102081,f906(f906(f905(x102081,x102081),a895),a895)),x102081),f836(f8(f905(x102081,x102081),f906(f906(f905(x102081,x102081),a895),a895),x102081),f318(f905(x102081,x102081)))),f242(x102081,x102081)))),x102082),x102083,x102084)+~P1(f836(f836(f318(f905(f900(x102081),f900(x102081))),f836(f836(f242(f900(x102081),f900(x102081)),x102083),x102084)),f148(x102081,x102082)))
% 190.77/190.68 [10212]P58(x102121,f836(f836(f7(x102121,f906(f905(x102121,x102121),a895),f906(x102121,a895)),f836(f836(f8(f906(x102121,f906(f906(f905(x102121,x102121),a895),a895)),f906(f906(f905(x102121,x102121),a895),f906(x102121,a895)),x102121),f7(x102121,f906(f905(x102121,x102121),a895),a895)),f836(f836(f8(f906(x102121,f905(x102121,x102121)),f906(x102121,f906(f906(f905(x102121,x102121),a895),a895)),x102121),f836(f8(f905(x102121,x102121),f906(f906(f905(x102121,x102121),a895),a895),x102121),f318(f905(x102121,x102121)))),f242(x102121,x102121)))),x102122),x102123,x102124)+~P1(f836(f836(f318(f905(f906(x102121,a895),f906(x102121,a895))),f836(f836(f242(f906(x102121,a895),f906(x102121,a895)),x102123),x102124)),f309(x102121,x102122)))
% 190.77/190.68 [10247]E(x102471,x102472)+~E(f836(f836(f7(x102473,f906(f905(x102473,x102474),a895),f906(x102474,a895)),f836(f836(f8(f906(x102474,f906(f906(f905(x102473,x102474),a895),a895)),f906(f906(f905(x102473,x102474),a895),f906(x102474,a895)),x102473),f7(x102474,f906(f905(x102473,x102474),a895),a895)),f836(f836(f8(f906(x102474,f905(x102473,x102474)),f906(x102474,f906(f906(f905(x102473,x102474),a895),a895)),x102473),f836(f8(f905(x102473,x102474),f906(f906(f905(x102473,x102474),a895),a895),x102474),f318(f905(x102473,x102474)))),f242(x102473,x102474)))),x102471),f836(f836(f7(x102473,f906(f905(x102473,x102474),a895),f906(x102474,a895)),f836(f836(f8(f906(x102474,f906(f906(f905(x102473,x102474),a895),a895)),f906(f906(f905(x102473,x102474),a895),f906(x102474,a895)),x102473),f7(x102474,f906(f905(x102473,x102474),a895),a895)),f836(f836(f8(f906(x102474,f905(x102473,x102474)),f906(x102474,f906(f906(f905(x102473,x102474),a895),a895)),x102473),f836(f8(f905(x102473,x102474),f906(f906(f905(x102473,x102474),a895),a895),x102474),f318(f905(x102473,x102474)))),f242(x102473,x102474)))),x102472))
% 190.77/190.68 [10250]~P31(x102501,f836(f836(f7(x102501,f906(f905(x102501,x102501),a895),f906(x102501,a895)),f836(f836(f8(f906(x102501,f906(f906(f905(x102501,x102501),a895),a895)),f906(f906(f905(x102501,x102501),a895),f906(x102501,a895)),x102501),f7(x102501,f906(f905(x102501,x102501),a895),a895)),f836(f836(f8(f906(x102501,f905(x102501,x102501)),f906(x102501,f906(f906(f905(x102501,x102501),a895),a895)),x102501),f836(f8(f905(x102501,x102501),f906(f906(f905(x102501,x102501),a895),a895),x102501),f318(f905(x102501,x102501)))),f242(x102501,x102501)))),x102504),x102502,x102503)+P1(f836(f836(f318(f905(f900(x102501),f900(x102501))),f836(f836(f242(f900(x102501),f900(x102501)),x102502),x102503)),f148(x102501,x102504)))
% 190.77/190.68 [10251]~P58(x102511,f836(f836(f7(x102511,f906(f905(x102511,x102511),a895),f906(x102511,a895)),f836(f836(f8(f906(x102511,f906(f906(f905(x102511,x102511),a895),a895)),f906(f906(f905(x102511,x102511),a895),f906(x102511,a895)),x102511),f7(x102511,f906(f905(x102511,x102511),a895),a895)),f836(f836(f8(f906(x102511,f905(x102511,x102511)),f906(x102511,f906(f906(f905(x102511,x102511),a895),a895)),x102511),f836(f8(f905(x102511,x102511),f906(f906(f905(x102511,x102511),a895),a895),x102511),f318(f905(x102511,x102511)))),f242(x102511,x102511)))),x102514),x102512,x102513)+P1(f836(f836(f318(f905(f906(x102511,a895),f906(x102511,a895))),f836(f836(f242(f906(x102511,a895),f906(x102511,a895)),x102512),x102513)),f309(x102511,x102514)))
% 190.77/190.68 [7607]~P94(x76071)+E(f836(f836(f74(x76071),f836(f94(x76071),x76072)),f836(f836(f23(x76071),f836(f94(x76071),x76073)),x76074)),f836(f836(f23(x76071),f836(f94(x76071),f836(f836(f74(a1),x76072),x76073))),x76074))
% 190.77/190.68 [7608]~P94(x76081)+E(f836(f836(f74(x76081),f836(f94(x76081),x76082)),f836(f836(f74(x76081),f836(f94(x76081),x76083)),x76084)),f836(f836(f74(x76081),f836(f94(x76081),f836(f836(f74(a1),x76082),x76083))),x76084))
% 190.77/190.68 [7609]~P94(x76091)+E(f836(f836(f75(x76091),f836(f94(x76091),x76092)),f836(f836(f75(x76091),f836(f94(x76091),x76093)),x76094)),f836(f836(f75(x76091),f836(f94(x76091),f836(f836(f75(a1),x76092),x76093))),x76094))
% 190.77/190.68 [7652]~P144(x76521)+E(f836(f155(x76521),f836(f836(f144(x76522,x76521),f836(f16(x76521,x76522),x76523)),x76524)),f836(f836(f75(x76521),f836(f90(x76521),f836(f179(f900(x76522)),x76524))),x76523))
% 190.77/190.68 [7892]E(f836(f258(x78921,f836(f836(f141(f905(a89,x78921)),x78922),x78923)),x78924),f836(f246(a89,x78921),x78922))+~P1(f836(f836(f225(a89),x78924),f836(f241(a89,x78921),x78922)))
% 190.77/190.68 [7933]~P94(x79331)+E(f836(f836(f74(x79331),f836(f94(x79331),x79332)),f836(f836(f23(x79331),x79333),f836(f94(x79331),x79334))),f836(f836(f74(x79331),f836(f94(x79331),f836(f836(f74(a1),x79332),f836(f73(a1),x79334)))),x79333))
% 190.77/190.68 [8067]E(f836(f258(x80671,x80672),f836(f836(f23(a89),x80673),f836(f241(a89,x80671),x80674))),f836(f258(x80671,f836(f836(f141(f905(a89,x80671)),x80674),x80672)),x80673))+P1(f836(f836(f225(a89),x80673),f836(f241(a89,x80671),x80674)))
% 190.77/190.68 [8504]~P1(f836(f836(f318(x85041),x85042),f836(f162(x85041),f104(x85041,x85044))))+P1(f836(f836(f318(x85041),x85042),f836(f162(x85041),f104(x85041,f836(f836(f124(x85041),x85043),x85044)))))
% 190.77/190.68 [8505]~P1(f836(f836(f318(x85051),x85052),f836(f162(x85051),f104(x85051,x85053))))+P1(f836(f836(f318(x85051),x85052),f836(f162(x85051),f104(x85051,f836(f836(f124(x85051),x85053),x85054)))))
% 190.77/190.68 [8524]E(f836(f836(f91(f906(x85241,a895)),f836(f836(f92(f906(x85241,a895)),x85242),x85243)),x85244),f836(f836(f92(f906(x85241,a895)),x85242),f836(f836(f91(f906(x85241,a895)),x85243),x85244)))+~P1(f836(f836(f224(f906(x85241,a895)),x85244),x85242))
% 190.77/190.68 [8833]~E(f836(f836(f91(f906(x88331,a895)),f836(f836(f92(f906(x88331,a895)),x88333),x88334)),x88332),f836(f836(f92(f906(x88331,a895)),x88333),f836(f836(f91(f906(x88331,a895)),x88334),x88332)))+P1(f836(f836(f224(f906(x88331,a895)),x88332),x88333))
% 190.77/190.68 [9121]~P1(f836(f836(f224(f906(x91211,a895)),x91212),f836(f836(f91(f906(x91211,a895)),x91213),x91214)))+P1(f836(f836(f224(f906(x91211,a895)),f836(f836(f23(f906(x91211,a895)),x91212),x91213)),x91214))
% 190.77/190.68 [9237]~E(f836(f300(x92371,x92372,x92373),f232(f906(x92371,a895))),f232(f906(x92372,a895)))+E(f836(f300(x92371,x92372,x92373),f836(f300(x92372,x92371,f85(x92371,x92372,f232(f906(x92371,a895)),x92373)),x92374)),x92374)
% 190.77/190.68 [9242]P1(f836(f836(f224(f906(x92421,a895)),x92422),f836(f836(f91(f906(x92421,a895)),x92423),x92424)))+~P1(f836(f836(f224(f906(x92421,a895)),f836(f836(f23(f906(x92421,a895)),x92422),x92423)),x92424))
% 190.77/190.68 [9327]~P86(x93271)+E(f836(f70(x93271),f836(f836(f6(x93272,x93271),f836(f836(f8(x93271,x93271,x93272),f70(x93271)),x93273)),x93274)),f836(f836(f6(x93272,x93271),f836(f836(f8(x93271,x93271,x93272),f70(x93271)),x93273)),x93274))
% 190.77/190.68 [9503]~P86(x95031)+P1(f836(f836(f224(x95031),f2(x95031)),f836(f836(f6(x95032,x95031),f836(f836(f8(x95031,x95031,x95032),f70(x95031)),x95033)),x95034)))
% 190.77/190.68 [9507]~P67(x95071)+E(f836(f155(x95071),f836(f836(f144(x95072,x95071),f836(f67(x95071,x95071,x95072,f73(x95071)),x95073)),x95074)),f836(f73(x95071),f836(f155(x95071),f836(f836(f144(x95072,x95071),x95073),x95074))))
% 190.77/190.68 [9657]~P86(x96571)+P1(f836(f836(f224(x96571),f836(f70(x96571),f836(f836(f6(x96572,x96571),x96573),x96574))),f836(f836(f6(x96572,x96571),f836(f836(f8(x96571,x96571,x96572),f70(x96571)),x96573)),x96574)))
% 190.77/190.68 [9686]~E(f836(f836(f74(a899),x96861),x96864),f836(f836(f74(a899),x96863),x96862))+P1(f836(f836(f318(f905(f905(a899,a899),f905(a899,a899))),f836(f836(f242(f905(a899,a899),f905(a899,a899)),f836(f836(f242(a899,a899),x96861),x96862)),f836(f836(f242(a899,a899),x96863),x96864))),a99))
% 190.77/190.68 [9687]~P1(f836(f836(f225(a899),x96871),x96873))+P1(f836(f836(f318(f905(f905(a899,a899),f905(a899,a899))),f836(f836(f242(f905(a899,a899),f905(a899,a899)),f836(f836(f242(a899,a899),x96871),x96872)),f836(f836(f242(a899,a899),x96873),x96874))),a26))
% 190.77/190.68 [9688]~P1(f836(f836(f225(a899),x96881),x96883))+P1(f836(f836(f318(f905(f905(a899,a899),f905(a899,a899))),f836(f836(f242(f905(a899,a899),f905(a899,a899)),f836(f836(f242(a899,a899),x96881),x96882)),f836(f836(f242(a899,a899),x96883),x96884))),a65))
% 190.77/190.68 [9834]E(f836(f836(f74(a899),x98341),x98342),f836(f836(f74(a899),x98343),x98344))+~P1(f836(f836(f318(f905(f905(a899,a899),f905(a899,a899))),f836(f836(f242(f905(a899,a899),f905(a899,a899)),f836(f836(f242(a899,a899),x98341),x98344)),f836(f836(f242(a899,a899),x98343),x98342))),a99))
% 190.77/190.68 [9865]E(f836(f836(f154(x98651),f836(f836(f128(x98651),f836(f179(f900(x98651)),f167(x98651,x98652,x98653))),x98653)),x98654),f836(f836(f154(x98651),x98653),f836(f836(f74(a899),x98654),f836(f179(f900(x98651)),f167(x98651,x98652,x98653)))))+~P1(f836(f836(f225(a899),x98654),f836(f179(f900(x98651)),f836(f836(f128(x98651),f836(f179(f900(x98651)),f167(x98651,x98652,x98653))),x98653))))
% 190.77/190.68 [9881]~P1(f836(f836(f318(x98812),x98814),f836(f836(f35(x98811,f906(x98812,a895)),f232(f906(x98811,a895))),x98813)))+P1(f836(f836(f836(f35(x98811,f906(x98812,a895)),f232(f906(x98811,a895))),f836(f836(f8(f906(x98812,a895),f906(x98812,a895),x98811),f836(f7(x98812,f906(x98812,a895),a895),f318(x98812))),x98813)),x98814))
% 190.77/190.68 [9882]~P1(f836(f836(f318(x98822),x98824),f836(f836(f36(x98821,f906(x98822,a895)),f232(f906(x98821,a895))),x98823)))+P1(f836(f836(f836(f36(x98821,f906(x98822,a895)),f232(f906(x98821,a895))),f836(f836(f8(f906(x98822,a895),f906(x98822,a895),x98821),f836(f7(x98822,f906(x98822,a895),a895),f318(x98822))),x98823)),x98824))
% 190.77/190.68 [9951]~P1(f836(f45(x99511,x99512),f836(f836(f242(a1,a1),x99514),x99513)))+P1(f836(f45(f836(f73(a1),x99511),x99512),f836(f836(f242(a1,a1),f836(f836(f836(f86(a1),f836(f836(a314,x99513),f2(a1))),f836(f73(a1),x99514)),f836(f836(f23(a1),f836(f73(a1),x99514)),f72(a1)))),f836(f836(f836(f86(a1),f836(f836(a314,x99513),f2(a1))),f2(a1)),f836(f836(f23(a1),x99512),x99513)))))
% 190.77/190.68 [9963]P1(f836(f836(f318(x99631),x99632),f836(f836(f35(x99633,f906(x99631,a895)),f232(f906(x99633,a895))),x99634)))+~P1(f836(f836(f836(f35(x99633,f906(x99631,a895)),f232(f906(x99633,a895))),f836(f836(f8(f906(x99631,a895),f906(x99631,a895),x99633),f836(f7(x99631,f906(x99631,a895),a895),f318(x99631))),x99634)),x99632))
% 190.77/190.68 [9964]P1(f836(f836(f318(x99641),x99642),f836(f836(f36(x99643,f906(x99641,a895)),f232(f906(x99643,a895))),x99644)))+~P1(f836(f836(f836(f36(x99643,f906(x99641,a895)),f232(f906(x99643,a895))),f836(f836(f8(f906(x99641,a895),f906(x99641,a895),x99643),f836(f7(x99641,f906(x99641,a895),a895),f318(x99641))),x99644)),x99642))
% 190.77/190.68 [9976]E(f836(f836(f35(a899,f906(x99761,a895)),f232(f906(a899,a895))),x99762),f836(f836(f35(a899,f906(x99761,a895)),f232(f906(a899,a895))),x99763))+~E(f836(f836(f35(a899,f906(x99761,a895)),f836(f292(a899,f2(a899)),f451(x99762,x99764,x99763,x99761))),x99763),f836(f836(f35(a899,f906(x99761,a895)),f836(f292(a899,f2(a899)),f836(f836(f74(a899),f451(x99762,x99764,x99763,x99761)),x99764))),x99762))
% 190.77/190.68 [10328]~P1(f836(f836(f224(f906(f905(x103281,x103282),a895)),x103283),x103284))+P1(f836(f836(f224(f906(x103281,f906(x103282,a895))),f836(f836(f7(x103281,f906(f905(x103281,x103282),a895),f906(x103282,a895)),f836(f836(f8(f906(x103282,f906(f906(f905(x103281,x103282),a895),a895)),f906(f906(f905(x103281,x103282),a895),f906(x103282,a895)),x103281),f7(x103282,f906(f905(x103281,x103282),a895),a895)),f836(f836(f8(f906(x103282,f905(x103281,x103282)),f906(x103282,f906(f906(f905(x103281,x103282),a895),a895)),x103281),f836(f8(f905(x103281,x103282),f906(f906(f905(x103281,x103282),a895),a895),x103282),f318(f905(x103281,x103282)))),f242(x103281,x103282)))),x103283)),f836(f836(f7(x103281,f906(f905(x103281,x103282),a895),f906(x103282,a895)),f836(f836(f8(f906(x103282,f906(f906(f905(x103281,x103282),a895),a895)),f906(f906(f905(x103281,x103282),a895),f906(x103282,a895)),x103281),f7(x103282,f906(f905(x103281,x103282),a895),a895)),f836(f836(f8(f906(x103282,f905(x103281,x103282)),f906(x103282,f906(f906(f905(x103281,x103282),a895),a895)),x103281),f836(f8(f905(x103281,x103282),f906(f906(f905(x103281,x103282),a895),a895),x103282),f318(f905(x103281,x103282)))),f242(x103281,x103282)))),x103284)))
% 190.77/190.68 [10344]P1(f836(f836(f224(f906(f905(x103441,x103442),a895)),x103443),x103444))+~P1(f836(f836(f224(f906(x103441,f906(x103442,a895))),f836(f836(f7(x103441,f906(f905(x103441,x103442),a895),f906(x103442,a895)),f836(f836(f8(f906(x103442,f906(f906(f905(x103441,x103442),a895),a895)),f906(f906(f905(x103441,x103442),a895),f906(x103442,a895)),x103441),f7(x103442,f906(f905(x103441,x103442),a895),a895)),f836(f836(f8(f906(x103442,f905(x103441,x103442)),f906(x103442,f906(f906(f905(x103441,x103442),a895),a895)),x103441),f836(f8(f905(x103441,x103442),f906(f906(f905(x103441,x103442),a895),a895),x103442),f318(f905(x103441,x103442)))),f242(x103441,x103442)))),x103443)),f836(f836(f7(x103441,f906(f905(x103441,x103442),a895),f906(x103442,a895)),f836(f836(f8(f906(x103442,f906(f906(f905(x103441,x103442),a895),a895)),f906(f906(f905(x103441,x103442),a895),f906(x103442,a895)),x103441),f7(x103442,f906(f905(x103441,x103442),a895),a895)),f836(f836(f8(f906(x103442,f905(x103441,x103442)),f906(x103442,f906(f906(f905(x103441,x103442),a895),a895)),x103441),f836(f8(f905(x103441,x103442),f906(f906(f905(x103441,x103442),a895),a895),x103442),f318(f905(x103441,x103442)))),f242(x103441,x103442)))),x103444)))
% 190.77/190.68 [9376]~P1(f836(f836(f318(f905(x93761,x93761)),x93762),f297(x93761,x93764)))+P1(f836(f836(f318(f905(x93761,x93761)),x93762),f297(x93761,f836(f836(f91(f906(f905(x93761,x93761),a895)),x93763),x93764))))
% 190.77/190.68 [9377]~P1(f836(f836(f318(f905(x93771,x93771)),x93772),f297(x93771,x93773)))+P1(f836(f836(f318(f905(x93771,x93771)),x93772),f297(x93771,f836(f836(f91(f906(f905(x93771,x93771),a895)),x93773),x93774))))
% 190.77/190.68 [10062]~P1(f836(f836(f224(a899),f836(f836(f74(a899),x100621),x100624)),f836(f836(f74(a899),x100623),x100622)))+P1(f836(f836(f224(a1),f836(a83,f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),f836(f836(f242(a899,a899),x100621),x100622)),f178(f906(f905(a899,a899),a895)))))),f836(a83,f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),f836(f836(f242(a899,a899),x100623),x100624)),f178(f906(f905(a899,a899),a895)))))))
% 190.77/190.68 [10063]~P1(f836(f836(f225(a899),f836(f836(f74(a899),x100631),x100634)),f836(f836(f74(a899),x100633),x100632)))+P1(f836(f836(f225(a1),f836(a83,f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),f836(f836(f242(a899,a899),x100631),x100632)),f178(f906(f905(a899,a899),a895)))))),f836(a83,f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),f836(f836(f242(a899,a899),x100633),x100634)),f178(f906(f905(a899,a899),a895)))))))
% 190.77/190.68 [10150]P1(f836(f836(f224(a899),f836(f836(f74(a899),x101501),x101502)),f836(f836(f74(a899),x101503),x101504)))+~P1(f836(f836(f224(a1),f836(a83,f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),f836(f836(f242(a899,a899),x101501),x101504)),f178(f906(f905(a899,a899),a895)))))),f836(a83,f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),f836(f836(f242(a899,a899),x101503),x101502)),f178(f906(f905(a899,a899),a895)))))))
% 190.77/190.68 [10151]P1(f836(f836(f225(a899),f836(f836(f74(a899),x101511),x101512)),f836(f836(f74(a899),x101513),x101514)))+~P1(f836(f836(f225(a1),f836(a83,f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),f836(f836(f242(a899,a899),x101511),x101514)),f178(f906(f905(a899,a899),a895)))))),f836(a83,f836(f275(f905(a899,a899),f905(a899,a899),a99),f836(f836(f299(f905(a899,a899)),f836(f836(f242(a899,a899),x101513),x101512)),f178(f906(f905(a899,a899),a895)))))))
% 190.77/190.68 [10194]P1(f836(f836(f224(f906(x101941,a895)),f836(f836(f35(a899,f906(x101941,a895)),f232(f906(a899,a895))),x101942)),f836(f836(f35(a899,f906(x101941,a895)),f232(f906(a899,a895))),x101943)))+~P1(f836(f836(f224(f906(x101941,a895)),f836(f836(f35(a899,f906(x101941,a895)),f836(f292(a899,f2(a899)),f452(x101943,x101944,x101942,x101941))),x101942)),f836(f836(f35(a899,f906(x101941,a895)),f836(f292(a899,f2(a899)),f836(f836(f74(a899),f452(x101943,x101944,x101942,x101941)),x101944))),x101943)))
% 190.77/190.68 [10254]P1(f836(f836(f224(a89),x102544),f2(a89)))+E(f836(f836(f249(f905(a89,a89),f905(x102541,f906(a898,a835)),f905(a89,a89),f905(f906(a89,f906(a895,f902(f901(x102541)))),f905(a89,a89))),f836(x102542,x102543)),f836(f836(f8(f906(f906(a89,f906(a895,f902(f901(x102541)))),f906(f905(a89,a89),f905(f906(a89,f906(a895,f902(f901(x102541)))),f905(a89,a89)))),f906(f905(a89,a89),f905(f906(a89,f906(a895,f902(f901(x102541)))),f905(a89,a89))),f905(x102541,f906(a898,a835))),f836(f249(f905(a89,a89),f906(a89,f906(a895,f902(f901(x102541)))),f905(a89,a89),f905(f906(a89,f906(a895,f902(f901(x102541)))),f905(a89,a89))),f267(x102541,x102542,f836(f836(f23(a89),x102544),f72(a89)),x102543))),f836(f836(f8(f906(f906(a89,f906(a895,f902(f901(x102541)))),f906(a89,f906(a895,f902(f901(x102541))))),f906(f906(a89,f906(a895,f902(f901(x102541)))),f906(f905(a89,a89),f905(f906(a89,f906(a895,f902(f901(x102541)))),f905(a89,a89)))),f905(x102541,f906(a898,a835))),f836(f8(f906(a89,f906(a895,f902(f901(x102541)))),f906(f905(a89,a89),f905(f906(a89,f906(a895,f902(f901(x102541)))),f905(a89,a89))),f906(a89,f906(a895,f902(f901(x102541))))),f242(f906(a89,f906(a895,f902(f901(x102541)))),f905(a89,a89)))),f836(f836(f8(f906(a89,f906(a895,f902(f901(x102541)))),f906(f906(a89,f906(a895,f902(f901(x102541)))),f906(a89,f906(a895,f902(f901(x102541))))),f905(x102541,f906(a898,a835))),f40(x102541)),f836(f836(f8(x102541,f906(a89,f906(a895,f902(f901(x102541)))),f905(x102541,f906(a898,a835))),f38(x102541)),f241(x102541,f906(a898,a835))))))),f267(x102541,x102542,x102544,x102543))
% 190.77/190.68 [10318]~P1(f836(f836(f318(x103182),x103184),f836(f274(x103181,x103182),x103183)))+P1(f836(f240(x103181,x103182,f836(f836(f7(x103181,f906(f905(x103181,x103182),a895),f906(x103182,a895)),f836(f836(f8(f906(x103182,f906(f906(f905(x103181,x103182),a895),a895)),f906(f906(f905(x103181,x103182),a895),f906(x103182,a895)),x103181),f7(x103182,f906(f905(x103181,x103182),a895),a895)),f836(f836(f8(f906(x103182,f905(x103181,x103182)),f906(x103182,f906(f906(f905(x103181,x103182),a895),a895)),x103181),f836(f8(f905(x103181,x103182),f906(f906(f905(x103181,x103182),a895),a895),x103182),f318(f905(x103181,x103182)))),f242(x103181,x103182)))),x103183)),x103184))
% 190.77/190.68 [10319]~P1(f836(f836(f318(x103191),x103194),f836(f254(x103191,x103192),x103193)))+P1(f836(f239(x103191,x103192,f836(f836(f7(x103191,f906(f905(x103191,x103192),a895),f906(x103192,a895)),f836(f836(f8(f906(x103192,f906(f906(f905(x103191,x103192),a895),a895)),f906(f906(f905(x103191,x103192),a895),f906(x103192,a895)),x103191),f7(x103192,f906(f905(x103191,x103192),a895),a895)),f836(f836(f8(f906(x103192,f905(x103191,x103192)),f906(x103192,f906(f906(f905(x103191,x103192),a895),a895)),x103191),f836(f8(f905(x103191,x103192),f906(f906(f905(x103191,x103192),a895),a895),x103192),f318(f905(x103191,x103192)))),f242(x103191,x103192)))),x103193)),x103194))
% 190.77/190.68 [10331]P1(f836(f836(f318(x103311),x103312),f836(f274(x103313,x103311),x103314)))+~P1(f836(f240(x103313,x103311,f836(f836(f7(x103313,f906(f905(x103313,x103311),a895),f906(x103311,a895)),f836(f836(f8(f906(x103311,f906(f906(f905(x103313,x103311),a895),a895)),f906(f906(f905(x103313,x103311),a895),f906(x103311,a895)),x103313),f7(x103311,f906(f905(x103313,x103311),a895),a895)),f836(f836(f8(f906(x103311,f905(x103313,x103311)),f906(x103311,f906(f906(f905(x103313,x103311),a895),a895)),x103313),f836(f8(f905(x103313,x103311),f906(f906(f905(x103313,x103311),a895),a895),x103311),f318(f905(x103313,x103311)))),f242(x103313,x103311)))),x103314)),x103312))
% 190.77/190.68 [10332]P1(f836(f836(f318(x103321),x103322),f836(f254(x103321,x103323),x103324)))+~P1(f836(f239(x103321,x103323,f836(f836(f7(x103321,f906(f905(x103321,x103323),a895),f906(x103323,a895)),f836(f836(f8(f906(x103323,f906(f906(f905(x103321,x103323),a895),a895)),f906(f906(f905(x103321,x103323),a895),f906(x103323,a895)),x103321),f7(x103323,f906(f905(x103321,x103323),a895),a895)),f836(f836(f8(f906(x103323,f905(x103321,x103323)),f906(x103323,f906(f906(f905(x103321,x103323),a895),a895)),x103321),f836(f8(f905(x103321,x103323),f906(f906(f905(x103321,x103323),a895),a895),x103323),f318(f905(x103321,x103323)))),f242(x103321,x103323)))),x103324)),x103322))
% 190.77/190.68 [9987]P1(f836(f150(x99871,x99872),x99873))+~P1(f836(f150(x99871,f836(f836(f18(x99871,a895,a895),f836(f836(f8(a895,f906(a895,a895),x99871),a315),x99874)),x99872)),x99873))
% 190.77/190.68 [9988]P1(f836(f150(x99881,x99882),x99883))+~P1(f836(f150(x99881,f836(f836(f18(x99881,a895,a895),f836(f836(f8(a895,f906(a895,a895),x99881),a315),x99882)),x99884)),x99883))
% 190.77/190.68 [10074]~P112(x100741)+E(f836(f836(f75(x100741),f836(f836(f74(x100741),f72(x100741)),f72(x100741))),f836(f836(f6(a899,x100741),f836(f836(f8(x100741,x100741,a899),f836(f74(x100741),x100742)),f836(f836(f7(a899,x100741,x100741),f836(f836(f8(x100741,f906(x100741,x100741),a899),f75(x100741)),f90(x100741))),x100743))),f836(f272(a899),x100744))),f836(f836(f75(x100741),f836(f90(x100741),x100744)),f836(f836(f74(x100741),x100742),f836(f836(f74(x100741),x100742),f836(f836(f75(x100741),f836(f90(x100741),f836(f836(f23(a899),x100744),f72(a899)))),x100743)))))
% 190.77/190.68 [10215]P1(f836(x102151,f506(x102152,x102153,x102154,x102151)))+P36(x102152,f836(f252(f905(x102152,x102152)),f836(f247(x102152,x102152,a895),f836(f836(f8(f906(x102152,a895),f906(x102152,a895),x102152),f836(f18(x102152,a895,a895),f836(f836(f8(a895,f906(a895,a895),x102152),a315),x102151))),f836(f836(f7(x102152,f906(x102152,x102152),f906(x102152,a895)),f836(f836(f8(f906(x102152,a895),f906(f906(x102152,x102152),f906(x102152,a895)),x102152),f8(x102152,a895,x102152)),a314)),x102153)))))
% 190.77/190.68 [10229]~P1(f836(f836(f225(a899),f836(x102294,f836(x102293,f506(x102291,x102293,x102294,x102292)))),f836(x102294,f506(x102291,x102293,x102294,x102292))))+P36(x102291,f836(f252(f905(x102291,x102291)),f836(f247(x102291,x102291,a895),f836(f836(f8(f906(x102291,a895),f906(x102291,a895),x102291),f836(f18(x102291,a895,a895),f836(f836(f8(a895,f906(a895,a895),x102291),a315),x102292))),f836(f836(f7(x102291,f906(x102291,x102291),f906(x102291,a895)),f836(f836(f8(f906(x102291,a895),f906(f906(x102291,x102291),f906(x102291,a895)),x102291),f8(x102291,a895,x102291)),a314)),x102293)))))
% 190.77/190.68 [10305]~P5(x103051)+E(f33(x103051,f836(f252(x103051),f836(f836(f8(f906(f906(x103052,x103051),a895),a895,x103051),f81(f906(x103052,x103051))),f836(f836(f8(f906(f906(x103052,x103051),a895),f906(f906(x103052,x103051),a895),x103051),f836(f18(f906(x103052,x103051),a895,a895),f836(f836(f8(a895,f906(a895,a895),f906(x103052,x103051)),a315),f836(f836(f7(f906(x103052,x103051),f906(f906(x103052,x103051),a895),a895),f318(f906(x103052,x103051))),x103053)))),f836(f836(f7(x103051,f906(f906(x103052,x103051),x103051),f906(f906(x103052,x103051),a895)),f836(f836(f8(f906(x103051,a895),f906(f906(f906(x103052,x103051),x103051),f906(f906(x103052,x103051),a895)),x103051),f8(x103051,a895,f906(x103052,x103051))),a314)),f836(f836(f7(f906(x103052,x103051),x103052,x103051),f5(f906(x103052,x103051))),x103054)))))),f836(f33(f906(x103052,x103051),x103053),x103054))
% 190.77/190.68 [10306]~P5(x103061)+E(f33(x103061,f836(f252(x103061),f836(f836(f8(f906(f906(x103062,x103061),a895),a895,x103061),f81(f906(x103062,x103061))),f836(f836(f8(f906(f906(x103062,x103061),a895),f906(f906(x103062,x103061),a895),x103061),f836(f18(f906(x103062,x103061),a895,a895),f836(f836(f8(a895,f906(a895,a895),f906(x103062,x103061)),a315),f836(f836(f7(f906(x103062,x103061),f906(f906(x103062,x103061),a895),a895),f318(f906(x103062,x103061))),x103063)))),f836(f836(f7(x103061,f906(f906(x103062,x103061),x103061),f906(f906(x103062,x103061),a895)),f836(f836(f8(f906(x103061,a895),f906(f906(f906(x103062,x103061),x103061),f906(f906(x103062,x103061),a895)),x103061),f8(x103061,a895,f906(x103062,x103061))),a314)),f836(f836(f7(f906(x103062,x103061),x103062,x103061),f5(f906(x103062,x103061))),x103064)))))),f836(f33(f906(x103062,x103061),x103063),x103064))
% 190.77/190.68 [10307]~P5(x103071)+E(f32(x103071,f836(f252(x103071),f836(f836(f8(f906(f906(x103072,x103071),a895),a895,x103071),f81(f906(x103072,x103071))),f836(f836(f8(f906(f906(x103072,x103071),a895),f906(f906(x103072,x103071),a895),x103071),f836(f18(f906(x103072,x103071),a895,a895),f836(f836(f8(a895,f906(a895,a895),f906(x103072,x103071)),a315),f836(f836(f7(f906(x103072,x103071),f906(f906(x103072,x103071),a895),a895),f318(f906(x103072,x103071))),x103073)))),f836(f836(f7(x103071,f906(f906(x103072,x103071),x103071),f906(f906(x103072,x103071),a895)),f836(f836(f8(f906(x103071,a895),f906(f906(f906(x103072,x103071),x103071),f906(f906(x103072,x103071),a895)),x103071),f8(x103071,a895,f906(x103072,x103071))),a314)),f836(f836(f7(f906(x103072,x103071),x103072,x103071),f5(f906(x103072,x103071))),x103074)))))),f836(f32(f906(x103072,x103071),x103073),x103074))
% 190.77/190.68 [10308]~P5(x103081)+E(f32(x103081,f836(f252(x103081),f836(f836(f8(f906(f906(x103082,x103081),a895),a895,x103081),f81(f906(x103082,x103081))),f836(f836(f8(f906(f906(x103082,x103081),a895),f906(f906(x103082,x103081),a895),x103081),f836(f18(f906(x103082,x103081),a895,a895),f836(f836(f8(a895,f906(a895,a895),f906(x103082,x103081)),a315),f836(f836(f7(f906(x103082,x103081),f906(f906(x103082,x103081),a895),a895),f318(f906(x103082,x103081))),x103083)))),f836(f836(f7(x103081,f906(f906(x103082,x103081),x103081),f906(f906(x103082,x103081),a895)),f836(f836(f8(f906(x103081,a895),f906(f906(f906(x103082,x103081),x103081),f906(f906(x103082,x103081),a895)),x103081),f8(x103081,a895,f906(x103082,x103081))),a314)),f836(f836(f7(f906(x103082,x103081),x103082,x103081),f5(f906(x103082,x103081))),x103084)))))),f836(f32(f906(x103082,x103081),x103083),x103084))
% 190.77/190.68 [10357]~P1(f836(f836(f318(f905(x103571,x103571)),f836(f836(f242(x103571,x103571),x103573),x103574)),f836(f836(f91(f906(f905(x103571,x103571),a895)),x103572),f297(x103571,f178(f906(f905(x103571,x103571),a895))))))+P1(f836(f836(f836(f836(f91(f906(x103571,f906(x103571,a895))),f836(f836(f7(x103571,f906(f905(x103571,x103571),a895),f906(x103571,a895)),f836(f836(f8(f906(x103571,f906(f906(f905(x103571,x103571),a895),a895)),f906(f906(f905(x103571,x103571),a895),f906(x103571,a895)),x103571),f7(x103571,f906(f905(x103571,x103571),a895),a895)),f836(f836(f8(f906(x103571,f905(x103571,x103571)),f906(x103571,f906(f906(f905(x103571,x103571),a895),a895)),x103571),f836(f8(f905(x103571,x103571),f906(f906(f905(x103571,x103571),a895),a895),x103571),f318(f905(x103571,x103571)))),f242(x103571,x103571)))),x103572)),a314),x103573),x103574))
% 190.77/190.68 [10367]P1(f836(f836(f318(f905(x103671,x103671)),f836(f836(f242(x103671,x103671),x103672),x103673)),f836(f836(f91(f906(f905(x103671,x103671),a895)),x103674),f297(x103671,f178(f906(f905(x103671,x103671),a895))))))+~P1(f836(f836(f836(f836(f91(f906(x103671,f906(x103671,a895))),f836(f836(f7(x103671,f906(f905(x103671,x103671),a895),f906(x103671,a895)),f836(f836(f8(f906(x103671,f906(f906(f905(x103671,x103671),a895),a895)),f906(f906(f905(x103671,x103671),a895),f906(x103671,a895)),x103671),f7(x103671,f906(f905(x103671,x103671),a895),a895)),f836(f836(f8(f906(x103671,f905(x103671,x103671)),f906(x103671,f906(f906(f905(x103671,x103671),a895),a895)),x103671),f836(f8(f905(x103671,x103671),f906(f906(f905(x103671,x103671),a895),a895),x103671),f318(f905(x103671,x103671)))),f242(x103671,x103671)))),x103674)),a314),x103672),x103673))
% 190.77/190.68 [10315]E(f836(f836(f141(f900(x103151)),f836(f836(f141(x103151),x103152),f836(f132(f900(x103151),f900(x103151),f124(x103151),f103(x103151)),f836(f836(f144(f900(x103151),f900(x103151)),f146(f900(x103151),x103151,f103(x103151),f836(f836(f8(f900(x103151),f906(f900(x103151),f900(x103151)),x103151),f16(f900(x103151),f900(x103151))),f836(f836(f7(x103151,f900(x103151),f900(x103151)),f141(x103151)),f103(x103151))))),x103153)))),f169(x103151,f836(f836(f141(f900(x103151)),x103154),f836(f132(f900(f900(x103151)),f900(f900(x103151)),f124(f900(x103151)),f103(f900(x103151))),f836(f836(f144(f900(x103151),f900(f900(x103151))),f146(f900(f900(x103151)),x103151,f103(f900(x103151)),f836(f16(f906(f900(x103151),f900(f900(x103151))),x103151),f836(f836(f7(f900(x103151),f900(f900(x103151)),f900(f900(x103151))),f141(f900(x103151))),f103(f900(x103151)))))),x103153))))),f169(x103151,f836(f836(f141(f900(x103151)),f836(f836(f141(x103151),x103152),x103154)),x103153)))+~P1(f836(f305(f900(f900(x103151)),f170(x103151)),f836(f836(f141(f900(x103151)),f836(f836(f141(x103151),x103152),x103154)),x103153)))
% 190.77/190.68 [10356]~P1(f836(f29(x103562),f836(f252(x103562),x103564)))+P1(f836(f29(x103561),f836(f252(x103561),f836(f836(f8(f906(x103562,a895),a895,x103561),f81(x103562)),f836(f836(f7(x103561,f906(x103562,a895),f906(x103562,a895)),f836(f836(f8(f906(x103562,f906(a895,a895)),f906(f906(x103562,a895),f906(x103562,a895)),x103561),f18(x103562,a895,a895)),f836(f836(f8(f906(x103562,a895),f906(x103562,f906(a895,a895)),x103561),f836(f8(a895,f906(a895,a895),x103562),a315)),f836(f836(f7(x103561,f906(x103562,x103561),f906(x103562,a895)),f836(f836(f8(f906(x103561,a895),f906(f906(x103562,x103561),f906(x103562,a895)),x103561),f8(x103561,a895,x103562)),a314)),x103563)))),x103564)))))
% 190.77/190.68 [8871]P24(x88711,x88712,x88713,x88714)+~P25(x88711,x88712,x88713,x88714,x88715)
% 190.77/190.68 [5328]E(x53281,x53282)+~E(f159(x53283,x53281,x53284),f159(x53283,x53282,x53285))
% 190.77/190.68 [5329]E(x53291,x53292)+~E(f116(x53293,x53294,x53291),f116(x53293,x53295,x53292))
% 190.77/190.68 [5330]E(x53301,x53302)+~E(f116(x53303,x53301,x53304),f116(x53303,x53302,x53305))
% 190.77/190.68 [8198]~E(f836(x81983,x81984),x81985)+E(f69(x81981,x81982,x81983,x81984,x81985),x81983)
% 190.77/190.68 [8729]~E(f69(x87294,x87295,x87291,x87292,x87293),x87291)+E(f836(x87291,x87292),x87293)
% 190.77/190.68 [9346]~P25(x93462,x93461,x93464,x93463,x93465)+P25(x93461,x93462,f71(x93462,x93461,x93463,x93464),x93465,x93463)
% 190.77/190.68 [9347]~P25(x93472,x93471,x93474,x93473,x93475)+P25(x93471,x93472,f85(x93472,x93471,x93473,x93474),x93475,x93473)
% 190.77/190.68 [6149]P1(f836(f240(x61491,x61492,x61493),x61494))+~P1(f836(f836(x61493,x61495),x61494))
% 190.77/190.68 [6151]P1(f836(f239(x61511,x61512,x61513),x61514))+~P1(f836(f836(x61513,x61514),x61515))
% 190.77/190.68 [6641]~E(x66415,f2(a89))+E(f836(f188(x66411,x66412,x66413,x66414),x66415),f105(x66412))
% 190.77/190.68 [6642]~E(x66425,f2(a89))+E(f836(f186(x66421,x66422,x66423,x66424),x66425),f114(x66422))
% 190.77/190.68 [6782]~E(x67823,f2(a89))+E(f836(f263(x67821,x67822,x67823,x67824),x67825),f836(f242(x67821,x67822),x67825))
% 190.77/190.68 [7847]~P20(x78474,x78471,x78472,x78475)+E(f836(f67(x78471,x78471,x78471,f836(x78472,x78473)),f836(x78472,x78473)),f836(x78472,x78473))
% 190.77/190.68 [8239]~P16(x82395,x82391,x82392)+E(f836(f67(x82391,x82391,x82391,f836(x82392,x82393)),f836(x82392,x82394)),f836(f67(x82391,x82391,x82391,f836(x82392,x82394)),f836(x82392,x82393)))
% 190.77/190.68 [8564]P1(f836(f836(f318(f905(x85641,x85641)),f836(f836(f242(x85641,x85641),x85642),x85643)),f311(x85641,x85644,x85645)))+~P1(f836(f836(f225(a899),f836(x85644,x85642)),f836(x85644,x85643)))
% 190.77/190.68 [8657]~P1(f836(f836(f318(x86574),x86573),f289(x86574,x86571,x86572,x86575)))+P1(f836(f836(x86571,x86572),x86573))
% 190.77/190.68 [8658]~P1(f836(f836(f318(x86584),x86583),f280(x86584,x86581,x86582,x86585)))+P1(f836(f836(x86581,x86582),x86583))
% 190.77/190.68 [8659]~P1(f836(f836(f318(x86594),x86592),f289(x86594,x86591,x86595,x86593)))+P1(f836(f836(x86591,x86592),x86593))
% 190.77/190.68 [8660]~P1(f836(f836(f318(x86604),x86602),f280(x86604,x86601,x86605,x86603)))+P1(f836(f836(x86601,x86602),x86603))
% 190.77/190.68 [8741]~P25(x87411,x87413,x87415,x87412,x87414)+E(f836(f30(x87411),x87412),f836(f30(x87413),x87414))
% 190.77/190.68 [8789]~P25(x87891,x87892,x87893,x87894,x87895)+E(f836(f300(x87891,x87892,x87893),x87894),x87895)
% 190.77/190.68 [8809]~P56(x88092,x88091,x88095,x88093,x88094)+E(f836(f300(x88091,x88092,x88093),x88094),f232(f906(x88092,a895)))
% 190.77/190.68 [9254]~P33(x92541,x92542,x92543,x92544,x92545)+P33(x92541,x92542,x92543,f836(f158(x92541),x92544),f836(f158(x92542),x92545))
% 190.77/190.68 [9256]~P33(x92561,x92562,x92563,f836(f158(x92561),x92564),x92565)+P33(x92561,x92562,x92563,x92564,f836(f158(x92562),x92565))
% 190.77/190.68 [9257]~P33(x92571,x92572,x92573,x92574,f836(f158(x92572),x92575))+P33(x92571,x92572,x92573,f836(f158(x92571),x92574),x92575)
% 190.77/190.68 [9263]P33(x92631,x92632,x92633,x92634,x92635)+~P33(x92631,x92632,x92633,f836(f158(x92631),x92634),f836(f158(x92632),x92635))
% 190.77/190.68 [9676]P1(f836(f836(f318(f905(f900(x96761),f900(x96761))),f836(f836(f242(f900(x96761),f900(x96761)),f836(f836(f141(x96761),x96762),x96763)),f836(f836(f141(x96761),x96762),x96764))),f147(x96761,x96765)))+~P1(f836(f836(f318(f905(f900(x96761),f900(x96761))),f836(f836(f242(f900(x96761),f900(x96761)),x96763),x96764)),f147(x96761,x96765)))
% 190.77/190.68 [9677]P1(f836(f836(f318(f905(f900(x96771),f900(x96771))),f836(f836(f242(f900(x96771),f900(x96771)),f836(f836(f124(x96771),x96772),x96773)),f836(f836(f124(x96771),x96772),x96774))),f137(x96771,x96775)))+~P1(f836(f836(f318(f905(f900(x96771),f900(x96771))),f836(f836(f242(f900(x96771),f900(x96771)),x96773),x96774)),f137(x96771,x96775)))
% 190.77/190.68 [9872]E(f836(f836(f141(x98721),f627(x98722,x98723,x98724,x98725,x98721)),f630(x98722,x98723,x98724,x98725,x98721)),x98725)+~P1(f836(f836(f318(f905(f900(x98721),f900(x98721))),f836(f836(f242(f900(x98721),f900(x98721)),x98725),f836(f836(f141(x98721),x98724),x98723))),f148(x98721,x98722)))
% 190.77/190.68 [9893]E(f836(f836(f141(x98931),f628(x98932,x98933,x98934,x98935,x98931)),f629(x98932,x98933,x98934,x98935,x98931)),x98933)+~P1(f836(f836(f318(f905(f900(x98931),f900(x98931))),f836(f836(f242(f900(x98931),f900(x98931)),f836(f836(f141(x98931),x98935),x98934)),x98933)),f148(x98931,x98932)))
% 190.77/190.68 [10037]~P1(f836(f836(f318(f905(f900(x100371),f900(x100371))),f836(f836(f242(f900(x100371),f900(x100371)),f836(f836(f141(x100371),x100375),x100372)),x100374)),f148(x100371,x100373)))+P1(f836(f836(f318(f905(f900(x100371),f900(x100371))),f836(f836(f242(f900(x100371),f900(x100371)),x100372),f629(x100373,x100374,x100372,x100375,x100371))),f148(x100371,x100373)))
% 190.77/190.68 [10117]~P1(f836(f836(f318(f905(f900(x101171),f900(x101171))),f836(f836(f242(f900(x101171),f900(x101171)),x101175),f836(f836(f141(x101171),x101174),x101173))),f148(x101171,x101172)))+P1(f836(f836(f318(f905(f900(x101171),f900(x101171))),f836(f836(f242(f900(x101171),f900(x101171)),f630(x101172,x101173,x101174,x101175,x101171)),x101173)),f148(x101171,x101172)))
% 190.77/190.68 [10309]P1(f836(f836(f318(f905(x103091,x103091)),f836(f836(f242(x103091,x103091),f836(x103092,f836(f836(f74(a899),x103093),x103094))),f836(x103092,x103093))),f297(x103091,x103095)))+~P1(f836(f836(f318(f905(x103091,x103091)),f836(f836(f242(x103091,x103091),f836(x103092,f836(a102,f552(x103094,x103093,x103095,x103092,x103091)))),f836(x103092,f552(x103094,x103093,x103095,x103092,x103091)))),f297(x103091,x103095)))
% 190.77/190.68 [5302]E(x53021,x53022)+~E(f836(f836(f141(x53023),x53024),x53021),f836(f836(f141(x53023),x53025),x53022))
% 190.77/190.68 [5303]E(x53031,x53032)+~E(f836(f836(f141(x53033),x53031),x53034),f836(f836(f141(x53033),x53032),x53035))
% 190.77/190.68 [5345]P1(f836(x53451,x53452))+~E(f836(f126(x53453,x53451),x53454),f836(f836(f141(x53453),x53452),x53455))
% 190.77/190.68 [5346]P1(f836(x53461,x53462))+~E(f836(f836(f141(x53463),x53462),x53464),f836(f126(x53463,x53461),x53465))
% 190.77/190.68 [5507]~E(f836(f836(f128(x55071),x55073),x55072),f836(f836(f141(x55071),x55074),x55075))+E(f836(f836(f154(x55071),x55072),x55073),x55074)
% 190.77/190.68 [5647]~P14(x56474,x56475,x56471)+E(f836(f836(x56471,x56472),f836(f836(x56471,x56472),x56473)),f836(f836(x56471,x56472),x56473))
% 190.77/190.68 [6208]~E(x62084,f2(a89))+E(f836(f836(f107(x62081,x62082,x62083),x62084),x62085),f836(f836(f242(f900(x62082),x62081),f103(x62082)),x62085))
% 190.77/190.68 [6282]~P108(x62822)+~E(f836(f836(f138(x62821,x62822,x62823),x62824),x62825),f103(x62821))
% 190.77/190.68 [6682]E(x66821,x66822)+~E(f836(f836(f124(x66823),x66824),f836(f836(f141(x66823),x66821),f103(x66823))),f836(f836(f124(x66823),x66825),f836(f836(f141(x66823),x66822),f103(x66823))))
% 190.77/190.68 [6683]E(x66831,x66832)+~E(f836(f836(f124(x66833),x66831),f836(f836(f141(x66833),x66834),f103(x66833))),f836(f836(f124(x66833),x66832),f836(f836(f141(x66833),x66835),f103(x66833))))
% 190.77/190.68 [7007]E(f836(f836(f299(x70071),f836(x70072,x70073)),f836(f300(x70074,x70071,x70072),x70075)),f836(f300(x70074,x70071,x70072),x70075))+~P1(f836(f836(f318(x70074),x70073),x70075))
% 190.77/190.68 [7014]~P1(f836(x70144,f836(x70143,x70145)))+P1(f836(f836(f301(x70141,x70142,x70143),x70144),x70145))
% 190.77/190.68 [7017]~P1(f836(f836(x70173,x70175),x70174))+P1(f836(f836(f233(x70171,x70172,x70173),x70174),x70175))
% 190.77/190.68 [7114]~E(f836(f300(x71141,x71142,x71143),x71144),x71145)+E(f836(f300(f906(x71141,a895),f906(x71142,a895),f300(x71141,x71142,x71143)),f836(f298(x71141),x71144)),f836(f298(x71142),x71145))
% 190.77/190.68 [7142]E(f836(f261(x71421,x71422,x71423,x71424),x71425),f836(x71424,x71425))+~P1(f836(f836(f318(x71421),x71425),x71423))
% 190.77/190.68 [7456]P24(x74561,x74562,x74563,x74564)+~P24(x74561,x74562,x74563,f836(f836(f299(x74561),x74565),x74564))
% 190.77/190.68 [7561]~P1(f836(f836(f318(x75614),x75613),x75615))+P1(f836(f836(f318(x75611),f836(x75612,x75613)),f836(f300(x75614,x75611,x75612),x75615)))
% 190.77/190.68 [7582]~P108(x75822)+E(f140(x75821,x75822,x75823,f836(f126(x75821,x75824),x75825)),f836(f126(x75821,x75824),f140(x75821,x75822,x75823,x75825)))
% 190.77/190.68 [7613]P1(f836(x76131,f836(x76132,x76133)))+~P1(f836(f836(f301(x76134,x76135,x76132),x76131),x76133))
% 190.77/190.68 [7616]P1(f836(f836(x76161,x76162),x76163))+~P1(f836(f836(f233(x76164,x76165,x76161),x76163),x76162))
% 190.77/190.68 [7682]~P1(f836(f836(f318(x76823),f836(x76824,x76822)),x76825))+P1(f836(f836(f318(x76821),x76822),f836(f301(x76821,x76823,x76824),x76825)))
% 190.77/190.68 [8080]~P1(f836(f836(f318(x80805),x80803),f836(f301(x80805,x80801,x80802),x80804)))+P1(f836(f836(f318(x80801),f836(x80802,x80803)),x80804))
% 190.77/190.68 [8379]~P16(x83792,x83791,x83793)+E(f836(f132(x83791,x83792,f836(f7(x83792,x83791,x83791),x83793),x83794),f142(x83792,x83795)),f836(f836(f59(x83792,x83791,x83793),x83794),f836(f162(x83792),x83795)))
% 190.77/190.68 [8401]E(f836(x84011,f870(x84012,x84011,x84013,x84014)),x84014)+~P1(f836(f836(f318(x84015),x84014),f836(f300(x84013,x84015,x84011),x84012)))
% 190.77/190.68 [8704]~E(x87042,f836(f836(f141(x87041),x87044),x87045))+P1(f836(f836(f318(f905(f900(x87041),f900(x87041))),f836(f836(f242(f900(x87041),f900(x87041)),f103(x87041)),x87042)),f137(x87041,x87043)))
% 190.77/190.68 [8750]E(f836(x87501,f836(f85(x87502,x87503,x87504,x87501),x87505)),x87505)+~P1(f836(f836(f318(x87503),x87505),f836(f300(x87502,x87503,x87501),x87504)))
% 190.77/190.68 [8753]P24(x87531,x87532,f85(x87532,x87531,x87533,x87534),x87535)+~P1(f836(f836(f224(f906(x87531,a895)),x87535),f836(f300(x87532,x87531,x87534),x87533)))
% 190.77/190.68 [8760]~P33(x87601,x87603,x87605,x87602,x87604)+E(f836(f179(f900(x87601)),x87602),f836(f179(f900(x87603)),x87604))
% 190.77/190.68 [8771]P1(f836(f836(f224(f906(x87711,a895)),f836(f836(f36(x87712,f906(x87711,a895)),x87713),x87714)),f836(x87714,x87715)))+~P1(f836(f836(f318(x87712),x87715),x87713))
% 190.77/190.68 [8825]~P56(x88251,x88252,x88253,x88255,x88254)+E(f836(f300(x88251,x88252,x88253),f232(f906(x88251,a895))),x88254)
% 190.77/190.68 [9050]E(f836(f126(x90501,x90502),f720(x90503,x90504,x90505,x90502,x90501)),x90503)+~E(f836(f126(x90501,x90502),x90505),f836(f836(f141(x90501),x90504),x90503))
% 190.77/190.68 [9051]E(f836(f126(x90511,x90512),f725(x90513,x90512,x90514,x90515,x90511)),x90514)+~E(f836(f836(f141(x90511),x90515),x90514),f836(f126(x90511,x90512),x90513))
% 190.77/190.68 [9143]E(f836(f179(f900(x91431)),x91432),x91433)+~P1(f836(f836(f318(f905(f900(x91431),f900(x91431))),f836(f836(f242(f900(x91431),f900(x91431)),x91434),x91432)),f836(f133(x91431,x91435),x91433)))
% 190.77/190.68 [9144]E(f836(f179(f900(x91441)),x91442),x91443)+~P1(f836(f836(f318(f905(f900(x91441),f900(x91441))),f836(f836(f242(f900(x91441),f900(x91441)),x91442),x91444)),f836(f133(x91441,x91445),x91443)))
% 190.77/190.68 [9213]P1(f836(f836(f318(x92131),f870(x92132,x92133,x92131,x92134)),x92132))+~P1(f836(f836(f318(x92135),x92134),f836(f300(x92131,x92135,x92133),x92132)))
% 190.77/190.68 [9374]E(f836(f300(x93741,x93742,x93743),f657(x93744,x93743,x93741,x93745,x93742)),x93745)+~P1(f836(f836(f224(f906(x93742,a895)),x93745),f836(f300(x93741,x93742,x93743),x93744)))
% 190.77/190.68 [9694]P1(f836(f836(f318(f905(f900(x96941),f900(x96941))),f836(f836(f242(f900(x96941),f900(x96941)),f836(f836(f141(x96941),x96942),x96943)),f836(f836(f141(x96941),x96942),x96944))),f297(f900(x96941),f147(x96941,x96945))))+~P1(f836(f836(f318(f905(f900(x96941),f900(x96941))),f836(f836(f242(f900(x96941),f900(x96941)),x96943),x96944)),f297(f900(x96941),f147(x96941,x96945))))
% 190.77/190.68 [9725]~E(f836(x97253,f671(x97255,x97254,x97253,x97252,x97251)),f836(x97255,f671(x97255,x97254,x97253,x97252,x97251)))+E(f836(f836(f144(x97251,x97252),x97253),x97254),f836(f836(f144(x97251,x97252),x97255),x97254))
% 190.77/190.68 [9800]~E(f836(f126(x98001,x98005),x98004),f836(f836(f141(x98001),x98003),x98002))+E(f836(f836(f124(x98001),f721(x98002,x98003,x98004,x98005,x98001)),f836(f836(f141(x98001),x98003),f720(x98002,x98003,x98004,x98005,x98001))),x98004)
% 190.77/190.68 [9801]~E(f836(f836(f141(x98011),x98015),x98014),f836(f126(x98011,x98013),x98012))+E(f836(f836(f124(x98011),f723(x98012,x98013,x98014,x98015,x98011)),f836(f836(f141(x98011),x98015),f725(x98012,x98013,x98014,x98015,x98011))),x98012)
% 190.77/190.68 [9805]E(f836(f836(f144(x98051,x98052),x98053),x98054),f836(f836(f144(x98051,x98052),x98055),x98054))+P1(f836(f836(f318(x98051),f671(x98053,x98054,x98055,x98052,x98051)),f836(f162(x98051),x98054)))
% 190.77/190.68 [9835]~P1(f836(f836(f318(x98355),x98354),f836(f275(x98351,x98355,x98353),x98352)))+P1(f836(f836(f318(x98351),f343(x98352,x98353,x98351,x98354,x98355)),x98352))
% 190.77/190.68 [9836]~P1(f836(f836(f318(x98365),x98364),f836(f275(x98361,x98365,x98363),x98362)))+P1(f836(f836(f318(x98361),f413(x98362,x98363,x98361,x98364,x98365)),x98362))
% 190.77/190.68 [9866]~P1(f836(f836(f224(f906(x98665,a895)),x98664),f836(f300(x98661,x98665,x98663),x98662)))+P1(f836(f836(f224(f906(x98661,a895)),f657(x98662,x98663,x98661,x98664,x98665)),x98662))
% 190.77/190.68 [10310]E(x103101,f2(a89))+E(f213(f905(f900(x103102),x103103),f905(x103102,x103103),f836(f836(f242(f900(x103102),x103103),f103(x103102)),x103104),f836(f247(x103102,x103103,f905(f900(x103102),x103103)),f836(f836(f7(x103102,f906(x103103,f905(f900(x103102),x103103)),f906(x103103,f905(f900(x103102),x103103))),f836(f836(f8(f906(f905(f900(x103102),x103103),f905(f900(x103102),x103103)),f906(f906(x103103,f905(f900(x103102),x103103)),f906(x103103,f905(f900(x103102),x103103))),x103102),f8(f905(f900(x103102),x103103),f905(f900(x103102),x103103),x103103)),f836(f836(f8(f906(f900(x103102),f906(x103103,f905(f900(x103102),x103103))),f906(f905(f900(x103102),x103103),f905(f900(x103102),x103103)),x103102),f247(f900(x103102),x103103,f905(f900(x103102),x103103))),f836(f836(f8(f906(f900(x103102),f900(x103102)),f906(f900(x103102),f906(x103103,f905(f900(x103102),x103103))),x103102),f836(f8(f900(x103102),f906(x103103,f905(f900(x103102),x103103)),f900(x103102)),f242(f900(x103102),x103103))),f141(x103102))))),f836(f107(x103103,x103102,x103105),f836(f836(f23(a89),x103101),f72(a89))))),f836(x103105,x103104)),f836(f836(f107(x103103,x103102,x103105),x103101),x103104))
% 190.77/190.68 [6086]E(x60861,x60862)+~E(f836(f246(x60863,x60864),f836(f836(f242(x60863,x60864),x60865),x60861)),x60862)
% 190.77/190.68 [6087]E(x60871,x60872)+~E(f836(f241(x60873,x60874),f836(f836(f242(x60873,x60874),x60871),x60875)),x60872)
% 190.77/190.68 [6358]~E(x63583,f836(f836(f124(x63581),x63584),f836(f836(f141(x63581),x63582),x63585)))+P1(f836(f836(f318(x63581),x63582),f836(f162(x63581),x63583)))
% 190.77/190.68 [6769]E(f836(f300(x67691,x67692,f836(f16(x67692,x67691),x67693)),x67694),f836(f836(f299(x67692),x67693),f178(f906(x67692,a895))))+~P1(f836(f836(f318(x67691),x67695),x67694))
% 190.77/190.68 [6844]E(f836(f836(f91(f906(x68441,a895)),f836(f162(x68441),x68442)),f836(f162(x68441),x68443)),f836(f162(x68441),x68444))+~E(f156(x68441,x68445,x68444),f836(f836(f242(f900(x68441),f900(x68441)),x68442),x68443))
% 190.77/190.68 [6945]~P108(x69452)+E(f836(f179(f900(x69451)),f836(f836(f138(x69451,x69452,x69453),x69454),x69455)),f836(a102,f836(f179(f900(x69451)),x69455)))
% 190.77/190.68 [6959]~P108(x69592)+E(f836(f162(x69591),f836(f836(f138(x69591,x69592,x69593),x69594),x69595)),f836(f836(f299(x69591),x69594),f836(f162(x69591),x69595)))
% 190.77/190.68 [7236]~P112(x72361)+E(f836(f836(f74(x72361),f836(f836(f74(x72361),x72362),x72363)),f836(f836(f74(x72361),x72364),x72365)),f836(f836(f74(x72361),f836(f836(f74(x72361),x72362),x72364)),f836(f836(f74(x72361),x72363),x72365)))
% 190.77/190.68 [7237]~P112(x72371)+E(f836(f836(f75(x72371),f836(f836(f75(x72371),x72372),x72373)),f836(f836(f75(x72371),x72374),x72375)),f836(f836(f75(x72371),f836(f836(f75(x72371),x72372),x72374)),f836(f836(f75(x72371),x72373),x72375)))
% 190.77/190.68 [7238]~P61(x72381)+E(f836(f836(f281(x72381),f836(f836(f75(x72381),x72382),x72383)),f836(f836(f75(x72381),x72384),x72385)),f836(f836(f75(x72381),f836(f836(f281(x72381),x72382),x72384)),f836(f836(f281(x72381),x72383),x72385)))
% 190.77/190.68 [7252]~P108(x72521)+E(f296(x72521,f836(f836(f223(x72521),x72522),x72523),f836(f836(f228(x72521),x72524),x72525)),f836(f836(f92(f906(x72521,a895)),f296(x72521,x72522,x72524)),f296(x72521,x72523,x72525)))
% 190.77/190.68 [7253]~P108(x72531)+E(f295(x72531,f836(f836(f223(x72531),x72532),x72533),f836(f836(f228(x72531),x72534),x72535)),f836(f836(f92(f906(x72531,a895)),f295(x72531,x72532,x72534)),f295(x72531,x72533,x72535)))
% 190.77/190.68 [7254]~P108(x72541)+E(f293(x72541,f836(f836(f223(x72541),x72542),x72543),f836(f836(f228(x72541),x72544),x72545)),f836(f836(f92(f906(x72541,a895)),f293(x72541,x72542,x72544)),f293(x72541,x72543,x72545)))
% 190.77/190.68 [7255]~P108(x72551)+E(f836(f836(f92(f906(x72551,a895)),f836(f292(x72551,x72552),x72553)),f836(f292(x72551,x72554),x72555)),f836(f292(x72551,f836(f836(f223(x72551),x72552),x72554)),f836(f836(f228(x72551),x72553),x72555)))
% 190.77/190.68 [7375]~P1(f836(x73751,f866(x73753,x73752,x73751)))+P1(f836(x73751,f836(f836(f242(x73752,x73753),x73754),x73755)))
% 190.77/190.68 [7487]~E(x74872,f836(x74874,x74875))+P1(f836(f836(f318(x74871),x74872),f836(f300(x74873,x74871,x74874),f232(f906(x74873,a895)))))
% 190.77/190.68 [7559]~P14(x75593,x75592,x75594)+P14(x75591,x75592,f836(f836(f8(x75593,f906(x75592,x75592),x75591),x75594),x75595))
% 190.77/190.68 [7560]~P16(x75603,x75602,x75604)+P16(x75601,x75602,f836(f836(f8(x75603,f906(x75602,x75602),x75601),x75604),x75605))
% 190.77/190.68 [7699]~P24(x76991,x76992,x76993,x76994)+P24(x76991,x76992,x76993,f836(f836(f23(f906(x76991,a895)),x76994),x76995))
% 190.77/190.68 [7856]~P1(f836(f836(x78563,x78564),x78565))+P1(f836(f836(f247(x78561,x78562,a895),x78563),f836(f836(f242(x78561,x78562),x78564),x78565)))
% 190.77/190.68 [7970]~P1(f836(x79702,x79704))+~E(f836(f836(f128(x79701),f836(f179(f900(x79701)),f167(x79701,x79702,x79703))),x79703),f836(f836(f141(x79701),x79704),x79705))
% 190.77/190.68 [7990]P24(x79901,x79902,x79903,x79904)+~P24(x79901,x79902,x79903,f836(f836(f91(f906(x79901,a895)),x79905),x79904))
% 190.77/190.68 [7991]P24(x79911,x79912,x79913,x79914)+~P24(x79911,x79912,x79913,f836(f836(f91(f906(x79911,a895)),x79914),x79915))
% 190.77/190.68 [8038]~P108(x80382)+E(f836(f836(f138(x80381,x80382,x80383),x80384),f140(x80381,x80382,x80383,x80385)),f140(x80381,x80382,x80383,f836(f836(f141(x80381),x80384),x80385)))
% 190.77/190.68 [8356]~P14(x83562,x83561,x83563)+E(f836(f132(x83561,x83562,f836(f7(x83562,x83561,x83561),x83563),x83564),x83565),f836(f836(f59(x83562,x83561,x83563),x83564),f836(f162(x83562),x83565)))
% 190.77/190.68 [8384]~E(f836(f836(f128(x83841),f836(f179(f900(x83841)),f167(x83841,x83842,x83843))),x83843),f836(f836(f141(x83841),x83844),x83845))+E(f836(f836(f124(x83841),f167(x83841,x83842,x83843)),f836(f836(f141(x83841),x83844),x83845)),x83843)
% 190.77/190.68 [8411]P1(f836(f836(x84111,x84112),x84113))+~P1(f836(f836(f247(x84114,x84115,a895),x84111),f836(f836(f242(x84114,x84115),x84112),x84113)))
% 190.77/190.68 [8888]P1(f836(f836(f224(f906(x88881,a895)),f836(f300(x88882,x88881,x88883),x88884)),f836(f300(x88882,x88881,x88883),x88885)))+~P1(f836(f836(f224(f906(x88882,a895)),x88884),x88885))
% 190.77/190.68 [8889]P1(f836(f836(f224(f906(x88891,a895)),f836(f301(x88891,x88892,x88893),x88894)),f836(f301(x88891,x88892,x88893),x88895)))+~P1(f836(f836(f224(f906(x88892,a895)),x88894),x88895))
% 190.77/190.68 [8968]E(x89681,f2(a89))+E(f836(f836(f249(x89682,x89683,x89682,f905(x89683,x89682)),f836(x89684,x89685)),f263(x89683,x89682,f836(f836(f23(a89),x89681),f72(a89)),x89684)),f836(f263(x89683,x89682,x89681,x89684),x89685))
% 190.77/190.68 [9075]P1(f836(f836(f245(x90751,x90752,a895,x90753),x90754),x90755))+~P1(f836(x90753,f836(f836(f242(x90751,x90752),x90754),x90755)))
% 190.77/190.68 [9352]~P1(f836(f836(f245(x93522,x93523,a895,x93521),x93524),x93525))+P1(f836(x93521,f836(f836(f242(x93522,x93523),x93524),x93525)))
% 190.77/190.68 [9537]~P1(f836(f836(f318(x95372),x95375),f836(f300(x95371,x95372,x95374),x95373)))+P1(f836(f836(f318(x95371),f836(f85(x95371,x95372,x95373,x95374),x95375)),x95373))
% 190.77/190.68 [9636]~P1(f836(f29(x96363),f836(f300(x96362,x96363,x96365),f232(f906(x96362,a895)))))+P1(f836(f29(x96361),f836(f300(x96362,x96361,f836(f836(f8(x96363,x96361,x96362),x96364),x96365)),f232(f906(x96362,a895)))))
% 190.77/190.68 [9661]P1(f836(f836(f224(f906(f906(x96611,a895),a895)),f836(f300(f906(x96612,a895),f906(x96611,a895),f300(x96612,x96611,x96613)),f836(f298(x96612),x96614))),f836(f298(x96611),x96615)))+~P1(f836(f836(f224(f906(x96611,a895)),f836(f300(x96612,x96611,x96613),x96614)),x96615))
% 190.77/190.68 [9733]E(x97331,x97332)+~P1(f836(f61(x97333,x97334,x97335,x97331,f178(f906(x97333,a895))),x97332))
% 190.77/190.68 [9749]E(f836(f836(f242(x97491,x97492),f476(x97493,x97494,x97495,x97492,x97491)),f480(x97493,x97494,x97495,x97492,x97491)),x97495)+~P1(f836(f836(f318(f905(x97491,x97492)),x97495),f836(f836(f244(x97491,x97492),x97494),x97493)))
% 190.77/190.68 [9841]P1(f836(f836(f318(x98411),f476(x98412,x98413,x98414,x98415,x98411)),x98413))+~P1(f836(f836(f318(f905(x98411,x98415)),x98414),f836(f836(f244(x98411,x98415),x98413),x98412)))
% 190.77/190.68 [9996]P1(f836(f836(f318(x99961),f480(x99962,x99963,x99964,x99961,x99965)),f836(x99962,f476(x99962,x99963,x99964,x99961,x99965))))+~P1(f836(f836(f318(f905(x99965,x99961)),x99964),f836(f836(f244(x99965,x99961),x99963),x99962)))
% 190.77/190.68 [10016]P1(f836(f836(f318(f905(x100161,x100161)),f836(f836(f242(x100161,x100161),x100162),f571(x100163,x100164,x100165,x100162,x100161))),x100163))+~P1(f836(f836(f318(f905(x100161,x100161)),f836(f836(f242(x100161,x100161),x100162),x100165)),f836(f836(f173(f905(x100161,x100161),a895),f836(a102,x100164)),x100163)))
% 190.77/190.68 [10017]P1(f836(f836(f318(f905(x100171,x100171)),f836(f836(f242(x100171,x100171),x100172),f573(x100173,x100174,x100175,x100172,x100171))),x100173))+~P1(f836(f836(f318(f905(x100171,x100171)),f836(f836(f242(x100171,x100171),x100172),x100175)),f836(f836(f173(f905(x100171,x100171),a895),f836(a102,x100174)),x100173)))
% 190.77/190.68 [10034]~P1(f836(f836(f318(f905(f900(x100341),f900(x100341))),f836(f836(f242(f900(x100341),f900(x100341)),f836(f836(f141(x100341),x100342),x100345)),x100344)),f148(x100341,x100343)))+P1(f836(f836(f318(f905(x100341,x100341)),f836(f836(f242(x100341,x100341),x100342),f628(x100343,x100344,x100345,x100342,x100341))),x100343))
% 190.77/190.68 [6439]P1(f836(x64392,x64394))+E(f167(x64391,x64392,f836(f836(f124(x64391),x64393),f836(f836(f141(x64391),x64394),x64395))),f167(x64391,x64392,x64393))
% 190.77/190.68 [6488]~P76(x64882)+E(f836(f836(f836(f23(f906(x64881,x64882)),x64883),x64884),x64885),f836(f836(f23(x64882),f836(x64883,x64885)),f836(x64884,x64885)))
% 190.77/190.68 [6490]~P99(x64902)+E(f836(f836(f836(f91(f906(x64901,x64902)),x64903),x64904),x64905),f836(f836(f91(x64902),f836(x64903,x64905)),f836(x64904,x64905)))
% 190.77/190.68 [6492]~P99(x64922)+E(f836(f836(f836(f92(f906(x64921,x64922)),x64923),x64924),x64925),f836(f836(f92(x64922),f836(x64923,x64925)),f836(x64924,x64925)))
% 190.77/190.68 [6512]E(x65121,x65122)+E(f836(f836(f154(x65123),f836(f836(f149(x65123,x65124),x65121),x65125)),x65122),f836(f836(f154(x65123),x65124),x65122))
% 190.77/190.68 [6787]~E(x67874,f178(f906(x67873,a895)))+E(f836(f836(f23(f906(x67871,a895)),x67872),f836(f836(f35(x67873,f906(x67871,a895)),x67874),x67875)),x67872)
% 190.77/190.68 [6788]~E(x67884,f178(f906(x67883,a895)))+E(f836(f836(f91(f906(x67881,a895)),x67882),f836(f836(f35(x67883,f906(x67881,a895)),x67884),x67885)),x67882)
% 190.77/190.68 [6789]~E(x67894,f178(f906(x67893,a895)))+E(f836(f836(f92(f906(x67891,a895)),x67892),f836(f836(f36(x67893,f906(x67891,a895)),x67894),x67895)),x67892)
% 190.77/190.68 [6805]~E(x68054,f178(f906(x68053,a895)))+E(f836(f836(f299(x68051),x68052),f836(f836(f35(x68053,f906(x68051,a895)),x68054),x68055)),f836(f836(f299(x68051),x68052),f178(f906(x68051,a895))))
% 190.77/190.68 [7605]E(f836(f836(f154(x76051),f836(f836(f144(x76052,x76051),x76053),x76054)),x76055),f836(x76053,f836(f836(f154(x76052),x76054),x76055)))+~P1(f836(f836(f225(a899),x76055),f836(f179(f900(x76052)),x76054)))
% 190.77/190.68 [7670]E(f836(f836(f91(f906(x76701,a895)),f836(x76702,x76703)),f836(f836(f35(x76704,f906(x76701,a895)),x76705),x76702)),f836(f836(f35(x76704,f906(x76701,a895)),x76705),x76702))+~P1(f836(f836(f318(x76704),x76703),x76705))
% 190.77/190.68 [7671]E(f836(f836(f92(f906(x76711,a895)),f836(x76712,x76713)),f836(f836(f36(x76714,f906(x76711,a895)),x76715),x76712)),f836(f836(f36(x76714,f906(x76711,a895)),x76715),x76712))+~P1(f836(f836(f318(x76714),x76713),x76715))
% 190.77/190.68 [8278]~E(x82783,f178(f906(x82781,a895)))+E(f836(f836(f35(x82781,f906(x82782,a895)),x82783),f836(f836(f8(f906(x82782,a895),f906(x82782,a895),x82781),f836(f299(x82782),x82784)),x82785)),f178(f906(x82782,a895)))
% 190.77/190.68 [8283]~P1(f836(f836(f318(x82834),x82833),x82835))+P1(f836(f836(f224(f906(x82831,a895)),f836(x82832,x82833)),f836(f836(f35(x82834,f906(x82831,a895)),x82835),x82832)))
% 190.77/190.68 [8410]~E(f836(x84104,x84102),x84105)+P1(f836(f836(f318(x84101),x84102),f836(f301(x84101,x84103,x84104),f836(f836(f299(x84103),x84105),f178(f906(x84103,a895))))))
% 190.77/190.68 [8457]~P54(x84571,x84572,f836(f276(x84572,x84571),x84573))+E(f836(f836(f92(f906(x84571,a895)),f836(f275(x84572,x84571,x84573),x84574)),f836(f275(x84572,x84571,x84573),x84575)),f836(f275(x84572,x84571,x84573),f836(f836(f92(f906(x84572,a895)),x84574),x84575)))
% 190.77/190.68 [8533]E(x85331,f2(a89))+E(f836(f108(x85332,x85333,f836(x85334,f836(f836(f23(a89),x85331),f72(a89)))),f836(f836(f7(x85332,a89,f901(x85333)),x85335),x85331)),f836(f188(x85332,x85333,x85334,x85335),x85331))
% 190.77/190.68 [8571]E(x85711,f178(f906(x85712,a895)))+E(f836(f836(f35(x85712,f906(x85713,a895)),x85711),f836(f836(f8(f906(x85713,a895),f906(x85713,a895),x85712),f836(f299(x85713),x85714)),x85715)),f836(f836(f299(x85713),x85714),f836(f836(f35(x85712,f906(x85713,a895)),x85711),x85715)))
% 190.77/190.68 [8622]~P24(x86222,x86221,x86223,f232(f906(x86222,a895)))+E(f836(f836(f23(f906(x86221,a895)),f836(f300(x86222,x86221,x86223),x86224)),f836(f300(x86222,x86221,x86223),x86225)),f836(f300(x86222,x86221,x86223),f836(f836(f23(f906(x86222,a895)),x86224),x86225)))
% 190.77/190.68 [8623]~P24(x86232,x86231,x86233,f232(f906(x86232,a895)))+E(f836(f836(f92(f906(x86231,a895)),f836(f300(x86232,x86231,x86233),x86234)),f836(f300(x86232,x86231,x86233),x86235)),f836(f300(x86232,x86231,x86233),f836(f836(f92(f906(x86232,a895)),x86234),x86235)))
% 190.77/190.68 [8691]~P1(f836(f836(f62(x86911,x86912,x86915),x86913),x86914))+P1(f836(f836(f318(f905(x86911,x86912)),f836(f836(f242(x86911,x86912),x86913),x86914)),x86915))
% 190.77/190.68 [8723]P1(f836(f836(f318(x87231),x87232),f836(f274(x87233,x87231),x87234)))+~P1(f836(f836(f318(f905(x87233,x87231)),f836(f836(f242(x87233,x87231),x87235),x87232)),x87234))
% 190.77/190.68 [8725]P1(f836(f836(f318(x87251),x87252),f836(f254(x87251,x87253),x87254)))+~P1(f836(f836(f318(f905(x87251,x87253)),f836(f836(f242(x87251,x87253),x87252),x87255)),x87254))
% 190.77/190.68 [8872]P1(f836(f836(f62(x88721,x88722,x88723),x88724),x88725))+~P1(f836(f836(f318(f905(x88721,x88722)),f836(f836(f242(x88721,x88722),x88724),x88725)),x88723))
% 190.77/190.68 [8911]E(f836(x89111,x89112),x89113)+~P1(f836(f836(f318(x89114),x89112),f836(f301(x89114,x89115,x89111),f836(f836(f299(x89115),x89113),f178(f906(x89115,a895))))))
% 190.77/190.68 [9140]P1(f836(f836(f318(f905(x91401,x91402)),f836(f836(f242(x91401,x91402),x91403),x91404)),f836(f276(x91402,x91401),x91405)))+~P1(f836(f836(f318(f905(x91402,x91401)),f836(f836(f242(x91402,x91401),x91404),x91403)),x91405))
% 190.77/190.68 [9158]~P1(f836(f836(x91581,x91585),x91584))+P1(f836(f836(x91581,f836(f246(x91582,x91583),f836(f836(f242(x91582,x91583),x91584),x91585))),f836(f241(x91582,x91583),f836(f836(f242(x91582,x91583),x91584),x91585))))
% 190.77/190.68 [9188]~P1(f836(f836(f318(f905(x91882,x91881)),f836(f836(f242(x91882,x91881),x91884),x91883)),f836(f276(x91881,x91882),x91885)))+P1(f836(f836(f318(f905(x91881,x91882)),f836(f836(f242(x91881,x91882),x91883),x91884)),x91885))
% 190.77/190.68 [9220]~P1(f836(f836(f318(f905(x92203,x92201)),f836(f836(f242(x92203,x92201),x92205),x92202)),x92204))+P1(f836(f836(f318(x92201),x92202),f836(f275(x92203,x92201,x92204),f836(f836(f299(x92203),x92205),f178(f906(x92203,a895))))))
% 190.77/190.68 [9267]P1(f836(f836(f318(f905(x92671,x92672)),f836(f836(f242(x92671,x92672),x92673),x92674)),x92675))+~P1(f836(f836(f318(x92672),x92674),f836(f275(x92671,x92672,x92675),f836(f836(f299(x92671),x92673),f178(f906(x92671,a895))))))
% 190.77/190.68 [9359]~P73(x93591)+E(f836(f836(f6(a899,x93591),x93592),f293(a899,f836(f836(f74(a899),x93593),x93594),f836(f836(f74(a899),x93595),x93594))),f836(f836(f6(a899,x93591),f836(f836(f8(a899,x93591,a899),x93592),f836(f836(f7(a899,a899,a899),f74(a899)),x93594))),f293(a899,x93593,x93595)))
% 190.77/190.68 [9379]~P73(x93791)+E(f836(f836(f6(a899,x93791),x93792),f836(f292(a899,f836(f836(f74(a899),x93793),x93794)),f836(f836(f74(a899),x93795),x93794))),f836(f836(f6(a899,x93791),f836(f836(f8(a899,x93791,a899),x93792),f836(f836(f7(a899,a899,a899),f74(a899)),x93794))),f836(f292(a899,x93793),x93795)))
% 190.77/190.68 [9437]~P24(x94371,x94372,x94373,f232(f906(x94371,a895)))+E(f836(f836(f144(x94371,x94372),x94373),f836(f126(x94371,f836(f836(f8(a895,a895,x94371),a312),f836(a314,x94374))),x94375)),f836(f126(x94372,f836(f836(f8(a895,a895,x94372),a312),f836(a314,f836(x94373,x94374)))),f836(f836(f144(x94371,x94372),x94373),x94375)))
% 190.77/190.68 [9455]~P24(x94551,x94552,x94553,f836(f836(f299(x94551),x94554),f836(f162(x94551),x94555)))+E(f836(f836(f144(x94551,x94552),x94553),f836(f126(x94551,f836(f836(f8(a895,a895,x94551),a312),f836(a314,x94554))),x94555)),f836(f126(x94552,f836(f836(f8(a895,a895,x94552),a312),f836(a314,f836(x94553,x94554)))),f836(f836(f144(x94551,x94552),x94553),x94555)))
% 190.77/190.68 [9624]P1(f836(f836(f318(f905(f900(x96241),f900(x96241))),f836(f836(f242(f900(x96241),f900(x96241)),f836(f836(f141(x96241),x96242),x96243)),f836(f836(f141(x96241),x96244),x96243))),f147(x96241,x96245)))+~P1(f836(f836(f318(f905(x96241,x96241)),f836(f836(f242(x96241,x96241),x96242),x96244)),x96245))
% 190.77/190.68 [9744]E(f836(f836(f299(x97441),f461(x97442,x97443,x97444,x97445,x97441)),f462(x97442,x97443,x97444,x97445,x97441)),f836(f836(f299(x97441),x97444),x97443))+~P1(f836(f57(x97441,x97445,f836(f836(f299(x97441),x97444),x97443)),x97442))
% 190.77/190.68 [9745]E(f836(f836(f299(x97451),f463(x97452,x97453,x97454,x97455,x97451)),f464(x97452,x97453,x97454,x97455,x97451)),f836(f836(f299(x97451),x97454),x97453))+~P1(f836(f57(x97451,x97455,f836(f836(f299(x97451),x97454),x97453)),x97452))
% 190.77/190.68 [9826]P1(f836(f836(f318(x98261),f584(x98262,x98263,x98264,x98265,x98261)),x98264))+P1(f836(f836(f836(f36(x98261,f906(x98265,a895)),x98264),x98263),x98262))
% 190.77/190.68 [9831]P1(f836(f836(f318(x98311),f585(x98312,x98313,x98311,x98314,x98315)),x98313))+P1(f836(f836(f318(x98315),x98314),f836(f836(f36(x98311,f906(x98315,a895)),x98313),x98312)))
% 190.77/190.68 [9839]P1(f836(f836(f318(x98391),f586(x98392,x98393,x98391,x98394,x98395)),x98393))+P1(f836(f836(f224(f906(x98395,a895)),x98394),f836(f836(f36(x98391,f906(x98395,a895)),x98393),x98392)))
% 190.77/190.68 [9840]P1(f836(f836(f318(x98401),f810(x98402,x98403,x98404,x98405,x98401)),x98405))+P1(f836(f836(f224(f906(x98404,a895)),x98403),f836(f836(f36(x98401,f906(x98404,a895)),x98405),x98402)))
% 190.77/190.68 [9842]P1(f836(f836(x98421,f424(x98422,x98421,x98423,x98424,x98425)),x98422))+~P1(f836(f836(f836(f35(x98425,f906(x98424,a895)),x98423),x98421),x98422))
% 190.77/190.68 [9846]P1(f836(f836(f318(x98461),f424(x98462,x98463,x98464,x98465,x98461)),x98464))+~P1(f836(f836(f836(f35(x98461,f906(x98465,a895)),x98464),x98463),x98462))
% 190.77/190.68 [9847]P52(x98474,f836(f836(f36(x98471,f906(x98474,a895)),x98475),x98473),f836(f836(f36(x98471,f906(f905(x98474,x98474),a895)),x98475),x98472))+P1(f836(f836(f318(x98471),f752(x98472,x98473,x98474,x98475,x98471)),x98475))
% 190.77/190.68 [9848]P52(x98484,f836(f836(f35(x98481,f906(x98484,a895)),x98485),x98483),f836(f836(f35(x98481,f906(f905(x98484,x98484),a895)),x98485),x98482))+P1(f836(f836(f318(x98481),f805(x98482,x98483,x98484,x98485,x98481)),x98485))
% 190.77/190.68 [9858]P1(f836(f836(f318(x98581),f436(x98582,x98583,x98581,x98584,x98585)),x98583))+~P1(f836(f836(f318(x98585),x98584),f836(f836(f35(x98581,f906(x98585,a895)),x98583),x98582)))
% 190.77/190.68 [9864]P1(f836(f836(f318(x98641),x98642),f836(x98643,f436(x98643,x98644,x98645,x98642,x98641))))+~P1(f836(f836(f318(x98641),x98642),f836(f836(f35(x98645,f906(x98641,a895)),x98644),x98643)))
% 190.77/190.68 [9945]~P1(f836(f836(x99454,f584(x99455,x99454,x99453,x99452,x99451)),x99455))+P1(f836(f836(f836(f36(x99451,f906(x99452,a895)),x99453),x99454),x99455))
% 190.77/190.68 [9948]~P1(f836(f836(f318(x99481),x99482),f836(x99485,f585(x99485,x99484,x99483,x99482,x99481))))+P1(f836(f836(f318(x99481),x99482),f836(f836(f36(x99483,f906(x99481,a895)),x99484),x99485)))
% 190.77/190.68 [9952]~P52(x99521,f836(x99524,f805(x99525,x99524,x99521,x99523,x99522)),f836(x99525,f805(x99525,x99524,x99521,x99523,x99522)))+P52(x99521,f836(f836(f35(x99522,f906(x99521,a895)),x99523),x99524),f836(f836(f35(x99522,f906(f905(x99521,x99521),a895)),x99523),x99525))
% 190.77/190.68 [9953]~P52(x99531,f836(x99534,f752(x99535,x99534,x99531,x99533,x99532)),f836(x99535,f752(x99535,x99534,x99531,x99533,x99532)))+P52(x99531,f836(f836(f36(x99532,f906(x99531,a895)),x99533),x99534),f836(f836(f36(x99532,f906(f905(x99531,x99531),a895)),x99533),x99535))
% 190.77/190.68 [9954]~P1(f836(f836(f224(f906(x99541,a895)),x99542),f836(x99545,f586(x99545,x99544,x99543,x99542,x99541))))+P1(f836(f836(f224(f906(x99541,a895)),x99542),f836(f836(f36(x99543,f906(x99541,a895)),x99544),x99545)))
% 190.77/190.68 [9955]~P1(f836(f836(f224(f906(x99551,a895)),x99552),f836(x99555,f810(x99555,x99552,x99551,x99554,x99553))))+P1(f836(f836(f224(f906(x99551,a895)),x99552),f836(f836(f36(x99553,f906(x99551,a895)),x99554),x99555)))
% 190.77/190.68 [10020]~P1(f836(f836(f318(x100201),f461(x100205,x100204,x100203,x100202,x100201)),f462(x100205,x100204,x100203,x100202,x100201)))+~P1(f836(f57(x100201,x100202,f836(f836(f299(x100201),x100203),x100204)),x100205))
% 190.77/190.68 [10021]~P1(f836(f836(f318(x100211),f463(x100215,x100214,x100213,x100212,x100211)),f464(x100215,x100214,x100213,x100212,x100211)))+~P1(f836(f57(x100211,x100212,f836(f836(f299(x100211),x100213),x100214)),x100215))
% 190.77/190.68 [10022]~P1(f836(f836(f318(f905(x100221,x100221)),f836(f836(f242(x100221,x100221),x100222),x100225)),f836(f836(f173(f905(x100221,x100221),a895),f836(a102,x100224)),x100223)))+P1(f836(f836(f318(f905(x100221,x100221)),f836(f836(f242(x100221,x100221),x100222),f572(x100223,x100224,x100225,x100222,x100221))),f836(f836(f173(f905(x100221,x100221),a895),x100224),x100223)))
% 190.77/190.68 [10028]P1(f836(f61(x100281,x100281,x100282,f461(x100283,x100284,x100285,x100282,x100281),f462(x100283,x100284,x100285,x100282,x100281)),x100283))+~P1(f836(f57(x100281,x100282,f836(f836(f299(x100281),x100285),x100284)),x100283))
% 190.77/190.68 [10029]P1(f836(f61(x100291,x100291,x100292,f463(x100293,x100294,x100295,x100292,x100291),f464(x100293,x100294,x100295,x100292,x100291)),x100293))+~P1(f836(f57(x100291,x100292,f836(f836(f299(x100291),x100295),x100294)),x100293))
% 190.77/190.68 [10039]~P108(x100391)+P13(x100391,f836(f836(f144(x100392,x100391),x100393),f836(f126(x100392,f836(f836(f7(x100392,x100391,a895),f836(f836(f8(x100391,f906(x100391,a895),x100392),a314),x100393)),f836(x100394,x100395))),x100395)))
% 190.77/190.68 [10089]~P1(f836(f836(f318(x100892),x100895),f836(f275(x100891,x100892,x100894),x100893)))+P1(f836(f836(f318(f905(x100891,x100892)),f836(f836(f242(x100891,x100892),f343(x100893,x100894,x100891,x100895,x100892)),x100895)),x100894))
% 190.77/190.68 [10090]~P1(f836(f836(f318(x100902),x100905),f836(f275(x100901,x100902,x100904),x100903)))+P1(f836(f836(f318(f905(x100901,x100902)),f836(f836(f242(x100901,x100902),f413(x100903,x100904,x100901,x100905,x100902)),x100905)),x100904))
% 190.77/190.68 [10110]~P1(f836(f836(f318(f905(x101101,x101101)),f836(f836(f242(x101101,x101101),x101105),x101104)),f836(f836(f173(f905(x101101,x101101),a895),f836(a102,x101103)),x101102)))+P1(f836(f836(f318(f905(x101101,x101101)),f836(f836(f242(x101101,x101101),f572(x101102,x101103,x101104,x101105,x101101)),x101104)),x101102))
% 190.77/190.68 [10113]~P1(f836(f836(f318(f905(x101131,x101131)),f836(f836(f242(x101131,x101131),x101135),x101134)),f836(f836(f173(f905(x101131,x101131),a895),f836(a102,x101133)),x101132)))+P1(f836(f836(f318(f905(x101131,x101131)),f836(f836(f242(x101131,x101131),f571(x101132,x101133,x101134,x101135,x101131)),x101134)),f836(f836(f173(f905(x101131,x101131),a895),x101133),x101132)))
% 190.77/190.68 [10114]~P1(f836(f836(f318(f905(x101141,x101141)),f836(f836(f242(x101141,x101141),x101145),x101144)),f836(f836(f173(f905(x101141,x101141),a895),f836(a102,x101143)),x101142)))+P1(f836(f836(f318(f905(x101141,x101141)),f836(f836(f242(x101141,x101141),f573(x101142,x101143,x101144,x101145,x101141)),x101144)),f836(f836(f173(f905(x101141,x101141),a895),x101143),x101142)))
% 190.77/190.68 [10115]~P1(f836(f836(f318(f905(f900(x101151),f900(x101151))),f836(f836(f242(f900(x101151),f900(x101151)),x101155),f836(f836(f141(x101151),x101154),x101153))),f148(x101151,x101152)))+P1(f836(f836(f318(f905(x101151,x101151)),f836(f836(f242(x101151,x101151),f627(x101152,x101153,x101154,x101155,x101151)),x101154)),x101152))
% 190.77/190.68 [7691]~E(x76913,f178(f906(x76912,a895)))+E(f836(f836(f91(f906(x76911,a895)),f836(f836(f35(x76912,f906(x76911,a895)),x76913),x76914)),x76915),x76915)
% 190.77/190.68 [7692]~E(x76923,f178(f906(x76922,a895)))+E(f836(f836(f92(f906(x76921,a895)),f836(f836(f36(x76922,f906(x76921,a895)),x76923),x76924)),x76925),x76925)
% 190.77/190.68 [8119]~E(x81193,f178(f906(x81192,a895)))+E(f836(f836(f23(f906(x81191,a895)),f836(f836(f36(x81192,f906(x81191,a895)),x81193),x81194)),x81195),f836(f836(f23(f906(x81191,a895)),f232(f906(x81191,a895))),x81195))
% 190.77/190.68 [8252]E(f836(f836(f149(x82521,f836(f836(f124(x82521),x82522),x82523)),x82524),x82525),f836(f836(f124(x82521),f836(f836(f149(x82521,x82522),x82524),x82525)),x82523))+~P1(f836(f836(f225(a899),x82524),f836(f179(f900(x82521)),x82522)))
% 190.77/190.68 [8523]E(f836(f836(f154(x85231),f836(f836(f144(a899,x85231),x85232),f129(a899,f836(f292(a899,x85233),x85234)))),x85235),f836(x85232,f836(f836(f74(a899),x85233),x85235)))+~P1(f836(f836(f225(a899),x85235),f836(f836(f23(a899),x85234),x85233)))
% 190.77/190.68 [8537]E(x85371,f2(a89))+E(f112(x85372,x85373,f836(x85374,f836(f836(f23(a89),x85371),f72(a89))),f836(f836(f7(x85372,a89,f901(f902(x85373))),x85375),x85371)),f836(f186(x85372,x85373,x85374,x85375),x85371))
% 190.77/190.68 [8561]~E(x85613,f178(f906(x85611,a895)))+E(f836(f836(f35(x85611,f906(x85612,a895)),x85613),f836(f836(f8(f906(x85612,a895),f906(x85612,a895),x85611),f836(f91(f906(x85612,a895)),x85614)),x85615)),f178(f906(x85612,a895)))
% 190.77/190.68 [8562]~E(x85623,f178(f906(x85621,a895)))+E(f836(f836(f36(x85621,f906(x85622,a895)),x85623),f836(f836(f8(f906(x85622,a895),f906(x85622,a895),x85621),f836(f23(f906(x85622,a895)),x85624)),x85625)),f232(f906(x85622,a895)))
% 190.77/190.68 [8563]~E(x85633,f178(f906(x85631,a895)))+E(f836(f836(f36(x85631,f906(x85632,a895)),x85633),f836(f836(f8(f906(x85632,a895),f906(x85632,a895),x85631),f836(f92(f906(x85632,a895)),x85634)),x85635)),f232(f906(x85632,a895)))
% 190.77/190.68 [8565]~P145(x85652)+E(f836(f836(f6(x85651,x85652),f836(f836(f8(x85652,x85652,x85651),f836(f75(x85652),x85653)),x85654)),x85655),f836(f836(f75(x85652),x85653),f836(f836(f6(x85651,x85652),x85654),x85655)))
% 190.77/190.68 [8856]E(x88561,f178(f906(x88562,a895)))+E(f836(f836(f35(x88562,f906(x88563,a895)),x88561),f836(f836(f8(f906(x88563,a895),f906(x88563,a895),x88562),f836(f91(f906(x88563,a895)),x88564)),x88565)),f836(f836(f91(f906(x88563,a895)),x88564),f836(f836(f35(x88562,f906(x88563,a895)),x88561),x88565)))
% 190.77/190.68 [8857]E(x88571,f178(f906(x88572,a895)))+E(f836(f836(f36(x88572,f906(x88573,a895)),x88571),f836(f836(f8(f906(x88573,a895),f906(x88573,a895),x88572),f836(f23(f906(x88573,a895)),x88574)),x88575)),f836(f836(f23(f906(x88573,a895)),x88574),f836(f836(f35(x88572,f906(x88573,a895)),x88571),x88575)))
% 190.77/190.68 [8858]E(x88581,f178(f906(x88582,a895)))+E(f836(f836(f36(x88582,f906(x88583,a895)),x88581),f836(f836(f8(f906(x88583,a895),f906(x88583,a895),x88582),f836(f92(f906(x88583,a895)),x88584)),x88585)),f836(f836(f92(f906(x88583,a895)),x88584),f836(f836(f36(x88582,f906(x88583,a895)),x88581),x88585)))
% 190.77/190.68 [9057]~P1(f836(f836(f225(a899),f836(x90574,x90572)),f836(x90574,x90573)))+P1(f836(f836(f318(f905(x90571,x90571)),f836(f836(f242(x90571,x90571),x90572),x90573)),f143(x90571,f836(f836(f141(f906(x90571,a899)),x90574),x90575))))
% 190.77/190.68 [9323]~P24(x93232,x93231,x93233,f836(f836(f91(f906(x93232,a895)),x93234),x93235))+E(f836(f836(f92(f906(x93231,a895)),f836(f300(x93232,x93231,x93233),f836(f836(f23(f906(x93232,a895)),x93234),x93235))),f836(f300(x93232,x93231,x93233),f836(f836(f23(f906(x93232,a895)),x93235),x93234))),f178(f906(x93231,a895)))
% 190.77/190.68 [9586]~P24(x95863,x95861,x95865,f232(f906(x95863,a895)))+E(f836(f67(x95861,x95862,x95863,f836(f67(x95863,x95862,x95861,x95864),f85(x95863,x95861,f232(f906(x95863,a895)),x95865))),x95865),x95864)
% 190.77/190.68 [9620]~P1(f836(f836(f224(f906(x96203,a895)),f836(f275(x96201,x96203,x96204),x96202)),x96205))+P1(f836(f836(f224(f906(x96201,a895)),x96202),f836(f73(f906(x96201,a895)),f836(f275(x96203,x96201,f836(f276(x96201,x96203),x96204)),f836(f73(f906(x96203,a895)),x96205)))))
% 190.77/190.68 [9645]~P24(x96451,x96452,x96453,f836(f836(f299(x96451),x96454),x96455))+~P1(f836(f836(f318(x96452),f836(x96453,x96454)),f836(f300(x96451,x96452,x96453),f836(f836(f23(f906(x96451,a895)),x96455),f836(f836(f299(x96451),x96454),f178(f906(x96451,a895)))))))
% 190.77/190.68 [9698]P1(f836(f836(f224(f906(x96981,a895)),f836(f275(x96982,x96981,x96983),x96984)),x96985))+~P1(f836(f836(f224(f906(x96982,a895)),x96984),f836(f73(f906(x96982,a895)),f836(f275(x96981,x96982,f836(f276(x96982,x96981),x96983)),f836(f73(f906(x96981,a895)),x96985)))))
% 190.77/190.68 [9771]~P86(x97711)+P1(f836(f836(f224(x97711),f836(f70(x97711),f836(f836(f23(x97711),f836(f836(f74(x97711),x97712),x97713)),f836(f836(f74(x97711),x97714),x97715)))),f836(f836(f74(x97711),f836(f70(x97711),f836(f836(f23(x97711),x97712),x97714))),f836(f70(x97711),f836(f836(f23(x97711),x97713),x97715)))))
% 190.77/190.68 [9879]P1(f836(f836(f318(x98791),f437(x98792,x98793,x98794,x98791,x98795)),x98794))+P1(f836(f836(f224(f906(x98795,a895)),f836(f836(f35(x98791,f906(x98795,a895)),x98794),x98793)),x98792))
% 190.77/190.68 [10057]~P1(f836(f836(f224(f906(x100571,a895)),f836(x100574,f437(x100575,x100574,x100573,x100572,x100571))),x100575))+P1(f836(f836(f224(f906(x100571,a895)),f836(f836(f35(x100572,f906(x100571,a895)),x100573),x100574)),x100575))
% 190.77/190.68 [8670]E(f836(f836(f124(x86701),x86702),f836(f836(f149(x86701,x86703),f836(f836(f23(a899),x86704),f836(f179(f900(x86701)),x86702))),x86705)),f836(f836(f149(x86701,f836(f836(f124(x86701),x86702),x86703)),x86704),x86705))+P1(f836(f836(f225(a899),x86704),f836(f179(f900(x86701)),x86702)))
% 190.77/190.68 [8698]~P141(x86981)+E(f836(f836(f74(x86981),f836(f836(f75(x86981),x86982),x86983)),f836(f836(f74(x86981),f836(f836(f75(x86981),x86984),x86983)),x86985)),f836(f836(f74(x86981),f836(f836(f75(x86981),f836(f836(f74(x86981),x86982),x86984)),x86983)),x86985))
% 190.77/190.68 [9276]~P145(x92761)+E(f836(f155(x92761),f836(f836(f144(x92762,x92761),f836(f836(f8(x92761,x92761,x92762),f836(f75(x92761),x92763)),x92764)),x92765)),f836(f836(f75(x92761),x92763),f836(f155(x92761),f836(f836(f144(x92762,x92761),x92764),x92765))))
% 190.77/190.68 [9454]E(f836(f179(f900(x94541)),f836(f836(f165(x94541),f836(f836(f228(a899),f836(f179(f900(x94541)),x94542)),f836(f179(f900(x94543)),x94544))),x94542)),f836(f179(f900(x94543)),f836(f836(f165(x94543),f836(f836(f228(a899),f836(f179(f900(x94541)),x94542)),f836(f179(f900(x94543)),x94544))),x94544)))+P1(f836(x94545,f836(f836(f171(x94541,x94543),x94542),x94544)))
% 190.77/190.68 [9708]~P145(x97082)+E(f836(f836(f6(x97081,x97082),f836(f836(f7(x97081,x97082,x97082),f836(f836(f8(x97082,f906(x97082,x97082),x97081),f75(x97082)),x97083)),x97084)),x97085),f836(f836(f75(x97082),f836(f836(f6(x97081,x97082),x97083),x97085)),x97084))
% 190.77/190.68 [9709]~P62(x97092)+E(f836(f836(f6(x97091,x97092),f836(f836(f7(x97091,x97092,x97092),f836(f836(f8(x97092,f906(x97092,x97092),x97091),f281(x97092)),x97093)),x97094)),x97095),f836(f836(f281(x97092),f836(f836(f6(x97091,x97092),x97093),x97095)),x97094))
% 190.77/190.68 [9716]~P74(x97162)+E(f836(f836(f9(x97161,x97162),f836(f836(f18(x97161,x97162,x97162),f836(f836(f8(x97162,f906(x97162,x97162),x97161),f75(x97162)),x97163)),x97164)),x97165),f836(f836(f75(x97162),f836(f836(f9(x97161,x97162),x97163),x97165)),f836(f836(f9(x97161,x97162),x97164),x97165)))
% 190.77/190.68 [9717]~P67(x97172)+E(f836(f836(f6(x97171,x97172),f836(f836(f18(x97171,x97172,x97172),f836(f836(f8(x97172,f906(x97172,x97172),x97171),f23(x97172)),x97173)),x97174)),x97175),f836(f836(f23(x97172),f836(f836(f6(x97171,x97172),x97173),x97175)),f836(f836(f6(x97171,x97172),x97174),x97175)))
% 190.77/190.68 [9718]~P73(x97182)+E(f836(f836(f6(x97181,x97182),f836(f836(f18(x97181,x97182,x97182),f836(f836(f8(x97182,f906(x97182,x97182),x97181),f74(x97182)),x97183)),x97184)),x97185),f836(f836(f74(x97182),f836(f836(f6(x97181,x97182),x97183),x97185)),f836(f836(f6(x97181,x97182),x97184),x97185)))
% 190.77/190.68 [9756]~E(x97563,f178(f906(x97561,a895)))+E(f836(f836(f35(x97561,f906(x97562,a895)),x97563),f836(f836(f7(x97561,f906(x97562,a895),f906(x97562,a895)),f836(f836(f8(f906(x97562,a895),f906(f906(x97562,a895),f906(x97562,a895)),x97561),f91(f906(x97562,a895))),x97564)),x97565)),f178(f906(x97562,a895)))
% 190.77/190.68 [9757]~E(x97573,f178(f906(x97571,a895)))+E(f836(f836(f36(x97571,f906(x97572,a895)),x97573),f836(f836(f7(x97571,f906(x97572,a895),f906(x97572,a895)),f836(f836(f8(f906(x97572,a895),f906(f906(x97572,a895),f906(x97572,a895)),x97571),f23(f906(x97572,a895))),x97574)),x97575)),f232(f906(x97572,a895)))
% 190.77/190.68 [9758]~E(x97583,f178(f906(x97581,a895)))+E(f836(f836(f36(x97581,f906(x97582,a895)),x97583),f836(f836(f7(x97581,f906(x97582,a895),f906(x97582,a895)),f836(f836(f8(f906(x97582,a895),f906(f906(x97582,a895),f906(x97582,a895)),x97581),f92(f906(x97582,a895))),x97584)),x97585)),f232(f906(x97582,a895)))
% 190.77/190.68 [9779]E(x97791,f178(f906(x97792,a895)))+E(f836(f836(f35(x97792,f906(x97793,a895)),x97791),f836(f836(f7(x97792,f906(x97793,a895),f906(x97793,a895)),f836(f836(f8(f906(x97793,a895),f906(f906(x97793,a895),f906(x97793,a895)),x97792),f91(f906(x97793,a895))),x97794)),x97795)),f836(f836(f91(f906(x97793,a895)),f836(f836(f35(x97792,f906(x97793,a895)),x97791),x97794)),x97795))
% 190.77/190.68 [9780]E(x97801,f178(f906(x97802,a895)))+E(f836(f836(f36(x97802,f906(x97803,a895)),x97801),f836(f836(f7(x97802,f906(x97803,a895),f906(x97803,a895)),f836(f836(f8(f906(x97803,a895),f906(f906(x97803,a895),f906(x97803,a895)),x97802),f23(f906(x97803,a895))),x97804)),x97805)),f836(f836(f23(f906(x97803,a895)),f836(f836(f36(x97802,f906(x97803,a895)),x97801),x97804)),x97805))
% 190.77/190.68 [9781]E(x97811,f178(f906(x97812,a895)))+E(f836(f836(f36(x97812,f906(x97813,a895)),x97811),f836(f836(f7(x97812,f906(x97813,a895),f906(x97813,a895)),f836(f836(f8(f906(x97813,a895),f906(f906(x97813,a895),f906(x97813,a895)),x97812),f92(f906(x97813,a895))),x97814)),x97815)),f836(f836(f92(f906(x97813,a895)),f836(f836(f36(x97812,f906(x97813,a895)),x97811),x97814)),x97815))
% 190.77/190.68 [9328]~P1(f836(f836(f224(a899),x93281),x93284))+E(f836(f836(f23(a899),f836(f836(f74(a899),f836(f836(f75(a899),x93281),x93282)),x93283)),f836(f836(f74(a899),f836(f836(f75(a899),x93284),x93282)),x93285)),f836(f836(f23(a899),x93283),f836(f836(f74(a899),f836(f836(f75(a899),f836(f836(f23(a899),x93284),x93281)),x93282)),x93285)))
% 190.77/190.68 [9928]~P145(x99281)+E(f836(f155(x99281),f836(f836(f144(x99282,x99281),f836(f836(f7(x99282,x99281,x99281),f836(f836(f8(x99281,f906(x99281,x99281),x99282),f75(x99281)),x99283)),x99284)),x99285)),f836(f836(f75(x99281),f836(f155(x99281),f836(f836(f144(x99282,x99281),x99283),x99285))),x99284))
% 190.77/190.68 [9934]~P67(x99341)+E(f836(f155(x99341),f836(f836(f144(x99342,x99341),f836(f836(f18(x99342,x99341,x99341),f836(f836(f8(x99341,f906(x99341,x99341),x99342),f23(x99341)),x99343)),x99344)),x99345)),f836(f836(f23(x99341),f836(f155(x99341),f836(f836(f144(x99342,x99341),x99343),x99345))),f836(f155(x99341),f836(f836(f144(x99342,x99341),x99344),x99345))))
% 190.77/190.68 [9935]~P73(x99351)+E(f836(f155(x99351),f836(f836(f144(x99352,x99351),f836(f836(f18(x99352,x99351,x99351),f836(f836(f8(x99351,f906(x99351,x99351),x99352),f74(x99351)),x99353)),x99354)),x99355)),f836(f836(f74(x99351),f836(f155(x99351),f836(f836(f144(x99352,x99351),x99353),x99355))),f836(f155(x99351),f836(f836(f144(x99352,x99351),x99354),x99355))))
% 190.77/190.68 [10081]P1(f836(x100811,f836(f836(f171(x100812,x100813),x100814),x100815)))+~P1(f836(x100811,f836(f836(f171(x100812,x100813),f836(f836(f165(x100812),f836(f836(f228(a899),f836(f179(f900(x100812)),x100814)),f836(f179(f900(x100813)),x100815))),x100814)),f836(f836(f165(x100813),f836(f836(f228(a899),f836(f179(f900(x100812)),x100814)),f836(f179(f900(x100813)),x100815))),x100815))))
% 190.77/190.68 [10343]~P1(f836(f836(f318(f905(x103432,x103431)),f836(f836(f242(x103432,x103431),x103434),x103435)),f836(f276(x103431,x103432),x103433)))+P1(f836(f836(f233(x103431,x103432,f836(f836(f7(x103431,f906(f905(x103431,x103432),a895),f906(x103432,a895)),f836(f836(f8(f906(x103432,f906(f906(f905(x103431,x103432),a895),a895)),f906(f906(f905(x103431,x103432),a895),f906(x103432,a895)),x103431),f7(x103432,f906(f905(x103431,x103432),a895),a895)),f836(f836(f8(f906(x103432,f905(x103431,x103432)),f906(x103432,f906(f906(f905(x103431,x103432),a895),a895)),x103431),f836(f8(f905(x103431,x103432),f906(f906(f905(x103431,x103432),a895),a895),x103432),f318(f905(x103431,x103432)))),f242(x103431,x103432)))),x103433)),x103434),x103435))
% 190.77/190.68 [10353]P1(f836(f836(f318(f905(x103531,x103532)),f836(f836(f242(x103531,x103532),x103533),x103534)),f836(f276(x103532,x103531),x103535)))+~P1(f836(f836(f233(x103532,x103531,f836(f836(f7(x103532,f906(f905(x103532,x103531),a895),f906(x103531,a895)),f836(f836(f8(f906(x103531,f906(f906(f905(x103532,x103531),a895),a895)),f906(f906(f905(x103532,x103531),a895),f906(x103531,a895)),x103532),f7(x103531,f906(f905(x103532,x103531),a895),a895)),f836(f836(f8(f906(x103531,f905(x103532,x103531)),f906(x103531,f906(f906(f905(x103532,x103531),a895),a895)),x103532),f836(f8(f905(x103532,x103531),f906(f906(f905(x103532,x103531),a895),a895),x103531),f318(f905(x103532,x103531)))),f242(x103532,x103531)))),x103535)),x103533),x103534))
% 190.77/190.68 [9585]~P1(f836(f836(f224(a899),x95854),x95851))+E(f836(f836(f23(a899),f836(f836(f74(a899),f836(f836(f75(a899),x95851),x95852)),x95853)),f836(f836(f74(a899),f836(f836(f75(a899),x95854),x95852)),x95855)),f836(f836(f23(a899),f836(f836(f74(a899),f836(f836(f75(a899),f836(f836(f23(a899),x95851),x95854)),x95852)),x95853)),x95855))
% 190.77/190.68 [7383]E(x73831,x73832)+~E(f210(x73833,x73834,x73835,x73831),f210(x73833,x73834,x73836,x73832))
% 190.77/190.68 [7384]E(x73841,x73842)+~E(f210(x73843,x73844,x73841,x73845),f210(x73843,x73844,x73842,x73846))
% 190.77/190.68 [8507]~P19(x85075,x85071,x85072,x85076)+E(f836(f67(x85071,x85071,x85071,f836(x85072,x85073)),f836(x85072,x85074)),f836(f67(x85071,x85071,x85071,f836(x85072,x85074)),f836(x85072,x85073)))
% 190.77/190.68 [8742]~P56(x87424,x87425,x87422,x87421,x87426)+E(f836(x87421,f836(x87422,x87423)),x87423)
% 190.77/190.68 [8909]P24(x89091,x89092,x89093,x89094)+~P24(x89091,x89095,f836(f67(x89092,x89095,x89091,x89096),x89093),x89094)
% 190.77/190.68 [8982]~E(x89826,x89824)+E(f836(f69(x89821,x89822,x89823,x89824,x89825),x89826),x89825)
% 190.77/190.68 [8988]E(x89881,x89882)+E(f836(f69(x89883,x89884,x89885,x89882,x89886),x89881),f836(x89885,x89881))
% 190.77/190.68 [9000]~P24(x90004,x90002,f836(f67(x90001,x90002,x90004,x90003),x90005),x90006)+P24(x90001,x90002,x90003,f836(f300(x90004,x90001,x90005),x90006))
% 190.77/190.68 [9719]P1(f836(f29(x97191),x97192))+~P1(f836(f61(x97191,x97193,x97194,x97195,x97192),x97196))
% 190.77/190.68 [9728]~P1(f836(f836(f318(x97284),x97283),f290(x97284,x97285,x97281,x97282,x97286)))+P1(f836(f836(x97281,x97282),x97283))
% 190.77/190.68 [9729]~P1(f836(f836(f318(x97294),x97293),f287(x97294,x97291,x97295,x97292,x97296)))+P1(f836(f836(x97291,x97292),x97293))
% 190.77/190.68 [9730]~P1(f836(f836(f318(x97304),x97302),f290(x97304,x97301,x97305,x97306,x97303)))+P1(f836(f836(x97301,x97302),x97303))
% 190.77/190.68 [9731]~P1(f836(f836(f318(x97314),x97312),f287(x97314,x97315,x97311,x97316,x97313)))+P1(f836(f836(x97311,x97312),x97313))
% 190.77/190.68 [10230]P12(x102301,x102302,x102303,x102304,x102305,x102306)+~E(f836(f836(x102306,f823(x102303,x102306,x102305,x102302,x102304,x102301)),f829(x102303,x102306,x102305,x102302,x102304,x102301)),f836(f836(x102306,f824(x102303,x102306,x102305,x102302,x102304,x102301)),f830(x102303,x102306,x102305,x102302,x102304,x102301)))
% 190.77/190.68 [5838]E(x58381,x58382)+~E(f836(f836(f242(x58383,x58384),x58385),x58381),f836(f836(f242(x58383,x58384),x58386),x58382))
% 190.77/190.68 [5840]E(x58401,x58402)+~E(f836(f836(f242(x58403,x58404),x58401),x58405),f836(f836(f242(x58403,x58404),x58402),x58406))
% 190.77/190.68 [5985]~P16(x59855,x59856,x59851)+E(f836(f836(x59851,x59852),f836(f836(x59851,x59853),x59854)),f836(f836(x59851,x59853),f836(f836(x59851,x59852),x59854)))
% 190.77/190.68 [7450]~P31(x74504,x74501,f836(f836(f141(x74504),x74502),x74505),f836(f836(f141(x74504),x74503),x74506))+P1(f836(f836(x74501,x74502),x74503))
% 190.77/190.68 [7809]P31(x78091,x78092,x78093,x78094)+~P31(x78091,x78092,f836(f836(f141(x78091),x78095),x78093),f836(f836(f141(x78091),x78096),x78094))
% 190.77/190.68 [8846]~P56(x88465,x88461,x88462,x88466,x88464)+P1(f836(f836(f318(x88461),f836(x88462,x88463)),x88464))
% 190.77/190.68 [9048]~E(x90483,f836(f836(f141(x90481),x90485),x90486))+P1(f836(f836(f318(f905(f900(x90481),f900(x90481))),f836(f836(f242(f900(x90481),f900(x90481)),x90482),f836(f836(f124(x90481),x90482),x90483))),f137(x90481,x90484)))
% 190.77/190.68 [9282]~P33(x92821,x92822,x92823,x92825,x92826)+P33(x92821,x92822,x92823,f836(f836(f165(x92821),x92824),x92825),f836(f836(f165(x92822),x92824),x92826))
% 190.77/190.68 [9283]~P33(x92831,x92832,x92833,x92835,x92836)+P33(x92831,x92832,x92833,f836(f836(f128(x92831),x92834),x92835),f836(f836(f128(x92832),x92834),x92836))
% 190.77/190.68 [9547]E(f836(f300(x95471,x95472,f69(x95471,x95472,x95473,x95474,x95475)),x95476),f836(f300(x95471,x95472,x95473),x95476))+P1(f836(f836(f318(x95471),x95474),x95476))
% 190.77/190.68 [9550]E(f836(f836(f144(x95501,x95502),f69(x95501,x95502,x95503,x95504,x95505)),x95506),f836(f836(f144(x95501,x95502),x95503),x95506))+P1(f836(f836(f318(x95501),x95504),f836(f162(x95501),x95506)))
% 190.77/190.68 [9791]~P23(x97914,x97912,x97915,x97913,x97916,x97911)+E(f836(x97911,f178(f906(x97912,a895))),x97913)
% 190.77/190.68 [10023]~E(f836(x100234,f836(f241(x100231,x100233),x100235)),f836(x100236,f836(f241(x100231,x100233),x100235)))+E(f836(f248(x100231,x100232,x100233,x100233,x100234,f25(x100233)),x100235),f836(f248(x100231,x100232,x100233,x100233,x100236,f25(x100233)),x100235))
% 190.77/190.68 [10024]~E(f836(x100244,f836(f246(x100241,x100242),x100245)),f836(x100246,f836(f246(x100241,x100242),x100245)))+E(f836(f248(x100241,x100241,x100242,x100243,f25(x100241),x100244),x100245),f836(f248(x100241,x100241,x100242,x100243,f25(x100241),x100246),x100245))
% 190.77/190.68 [10077]~E(f836(f248(x100772,x100776,x100773,x100773,x100771,f25(x100773)),x100774),f836(f248(x100772,x100776,x100773,x100773,x100775,f25(x100773)),x100774))+E(f836(x100771,f836(f241(x100772,x100773),x100774)),f836(x100775,f836(f241(x100772,x100773),x100774)))
% 190.77/190.68 [10078]~E(f836(f248(x100782,x100782,x100783,x100786,f25(x100782),x100781),x100784),f836(f248(x100782,x100782,x100783,x100786,f25(x100782),x100785),x100784))+E(f836(x100781,f836(f246(x100782,x100783),x100784)),f836(x100785,f836(f246(x100782,x100783),x100784)))
% 190.77/190.68 [8949]P1(f836(f836(f318(x89491),x89492),x89493))+~P1(f836(f836(f318(f905(x89491,x89494)),f836(f836(f242(x89491,x89494),x89492),x89495)),f836(f836(f244(x89491,x89494),x89493),x89496)))
% 190.77/190.68 [8965]P1(f836(f836(f318(x89651),x89652),f836(x89653,x89654)))+~P1(f836(f836(f318(f905(x89655,x89651)),f836(f836(f242(x89655,x89651),x89654),x89652)),f836(f836(f244(x89655,x89651),x89656),x89653)))
% 190.77/190.68 [9404]P1(f836(f836(f318(f905(x94041,x94041)),f836(f836(f242(x94041,x94041),f836(x94042,x94043)),f836(x94042,x94044))),x94045))+~P1(f836(f836(f318(f905(x94046,x94046)),f836(f836(f242(x94046,x94046),x94043),x94044)),f836(f836(f278(x94041,x94046),x94045),x94042)))
% 190.77/190.68 [9424]~P1(f836(f836(f318(f905(x94244,x94244)),f836(f836(f242(x94244,x94244),f836(x94246,x94242)),f836(x94246,x94243))),x94245))+P1(f836(f836(f318(f905(x94241,x94241)),f836(f836(f242(x94241,x94241),x94242),x94243)),f836(f836(f278(x94244,x94241),x94245),x94246)))
% 190.77/190.68 [10080]E(f836(f836(f242(x100801,x100802),f618(x100803,x100804,x100805,x100806,x100802,x100801)),f622(x100803,x100804,x100805,x100806,x100802,x100801)),x100806)+~P1(f836(f836(f318(f905(x100801,x100802)),x100806),f836(f836(f279(x100801,x100805,x100802),x100804),x100803)))
% 190.77/190.68 [10301]~P1(f836(f836(f318(f905(x103011,x103016)),x103015),f836(f836(f279(x103011,x103012,x103016),x103014),x103013)))+P1(f836(f836(f318(f905(x103011,x103012)),f836(f836(f242(x103011,x103012),f618(x103013,x103014,x103012,x103015,x103016,x103011)),f619(x103013,x103014,x103012,x103015,x103016,x103011))),x103014))
% 190.77/190.68 [10302]~P1(f836(f836(f318(f905(x103026,x103022)),x103025),f836(f836(f279(x103026,x103021,x103022),x103024),x103023)))+P1(f836(f836(f318(f905(x103021,x103022)),f836(f836(f242(x103021,x103022),f619(x103023,x103024,x103021,x103025,x103022,x103026)),f622(x103023,x103024,x103021,x103025,x103022,x103026))),x103023))
% 190.77/190.68 [10303]P12(x103031,x103032,x103033,x103034,x103035,x103036)+P1(f836(f836(f318(f905(x103032,x103032)),f836(f836(f242(x103032,x103032),f830(x103033,x103036,x103035,x103032,x103034,x103031)),f829(x103033,x103036,x103035,x103032,x103034,x103031))),x103035))
% 190.77/190.68 [10304]P12(x103041,x103042,x103043,x103044,x103045,x103046)+P1(f836(f836(f318(f905(x103041,x103041)),f836(f836(f242(x103041,x103041),f824(x103043,x103046,x103045,x103042,x103044,x103041)),f823(x103043,x103046,x103045,x103042,x103044,x103041))),x103044))
% 190.77/190.68 [7880]~P5(x78802)+E(f836(f836(f35(x78801,x78802),x78803),f836(f836(f7(x78801,x78804,x78802),x78805),x78806)),f836(f836(f836(f35(x78801,f906(x78804,x78802)),x78803),x78805),x78806))
% 190.77/190.68 [7881]~P5(x78812)+E(f836(f836(f36(x78811,x78812),x78813),f836(f836(f7(x78811,x78814,x78812),x78815),x78816)),f836(f836(f836(f36(x78811,f906(x78814,x78812)),x78813),x78815),x78816))
% 190.77/190.68 [8652]E(f836(f836(f35(x86521,f906(x86522,a895)),x86523),f836(f836(f8(f906(x86522,a895),f906(x86522,a895),x86521),f836(f299(x86522),x86524)),x86525)),f836(f836(f299(x86522),x86524),f836(f836(f35(x86521,f906(x86522,a895)),x86523),x86525)))+~P1(f836(f836(f318(x86521),x86526),x86523))
% 190.77/190.68 [9101]~P5(x91012)+E(f836(f836(f35(x91011,x91012),x91013),f836(f836(f8(f906(x91014,x91012),x91012,x91011),f836(f35(x91014,x91012),x91015)),f836(f7(x91014,x91011,x91012),x91016))),f836(f836(f35(x91014,x91012),x91015),f836(f836(f8(f906(x91011,x91012),x91012,x91014),f836(f35(x91011,x91012),x91013)),x91016)))
% 190.77/190.68 [9102]~P5(x91022)+E(f836(f836(f36(x91021,x91022),x91023),f836(f836(f8(f906(x91024,x91022),x91022,x91021),f836(f36(x91024,x91022),x91025)),f836(f7(x91024,x91021,x91022),x91026))),f836(f836(f36(x91024,x91022),x91025),f836(f836(f8(f906(x91021,x91022),x91022,x91024),f836(f36(x91021,x91022),x91023)),x91026)))
% 190.77/190.68 [9308]P1(f836(f836(f318(x93081),x93082),f836(f162(x93081),x93083)))+~P1(f836(f836(f318(f905(x93084,x93081)),f836(f836(f242(x93084,x93081),x93085),x93082)),f836(f162(f905(x93084,x93081)),f836(f836(f171(x93084,x93081),x93086),x93083))))
% 190.77/190.68 [9309]P1(f836(f836(f318(x93091),x93092),f836(f162(x93091),x93093)))+~P1(f836(f836(f318(f905(x93091,x93094)),f836(f836(f242(x93091,x93094),x93092),x93095)),f836(f162(f905(x93091,x93094)),f836(f836(f171(x93091,x93094),x93093),x93096))))
% 190.77/190.68 [9420]P1(f836(f836(f224(f906(x94201,a895)),f836(f275(x94202,x94201,x94203),x94204)),x94205))+~P1(f836(f836(f224(f906(f905(x94202,x94201),a895)),x94203),f836(f836(f244(x94202,x94201),x94206),f836(f16(f906(x94201,a895),x94202),x94205))))
% 190.77/190.68 [9425]~P25(x94254,x94252,x94255,f232(f906(x94254,a895)),f232(f906(x94252,a895)))+E(f836(f836(f36(x94251,f906(x94252,a895)),x94253),f836(f836(f8(f906(x94254,a895),f906(x94252,a895),x94251),f300(x94254,x94252,x94255)),x94256)),f836(f300(x94254,x94252,x94255),f836(f836(f36(x94251,f906(x94254,a895)),x94253),x94256)))
% 190.77/190.68 [9623]P1(f836(f836(f318(f905(f900(x96231),f900(x96231))),f836(f836(f242(f900(x96231),f900(x96231)),f836(f836(f141(x96231),x96232),x96233)),f836(f836(f141(x96231),x96234),x96235))),f137(x96231,x96236)))+~P1(f836(f836(f318(f905(x96231,x96231)),f836(f836(f242(x96231,x96231),x96232),x96234)),x96236))
% 190.77/190.68 [10076]E(f836(f836(f242(x100761,x100762),f525(x100763,x100764,x100765,x100762,x100761,x100766)),f528(x100763,x100764,x100765,x100762,x100761,x100766)),x100766)+P1(f836(f836(f318(x100765),x100764),f836(f836(f247(x100761,x100762,f906(x100765,a895)),x100763),x100766)))
% 190.77/190.68 [10082]E(f836(f836(f242(x100821,x100822),f526(x100823,x100824,x100822,x100821,x100825,x100826)),f527(x100823,x100824,x100822,x100821,x100825,x100826)),x100823)+~P1(f836(f836(f318(x100826),x100825),f836(f836(f247(x100821,x100822,f906(x100826,a895)),x100824),x100823)))
% 190.77/190.68 [10245]P1(f836(f836(f318(x102451),x102452),f836(f836(x102453,f526(x102454,x102453,x102455,x102456,x102452,x102451)),f527(x102454,x102453,x102455,x102456,x102452,x102451))))+~P1(f836(f836(f318(x102451),x102452),f836(f836(f247(x102456,x102455,f906(x102451,a895)),x102453),x102454)))
% 190.77/190.68 [10274]~P1(f836(f836(f318(x102741),x102742),f836(f836(x102745,f525(x102745,x102742,x102741,x102744,x102743,x102746)),f528(x102745,x102742,x102741,x102744,x102743,x102746))))+P1(f836(f836(f318(x102741),x102742),f836(f836(f247(x102743,x102744,f906(x102741,a895)),x102745),x102746)))
% 190.77/190.68 [8553]E(x85531,x85532)+E(f836(f836(f149(x85533,f836(f836(f149(x85533,x85534),x85531),x85535)),x85532),x85536),f836(f836(f149(x85533,f836(f836(f149(x85533,x85534),x85532),x85536)),x85531),x85535))
% 190.77/190.68 [9683]~P1(f836(f836(f318(x96833),x96836),x96835))+E(f836(f836(f299(x96831),x96832),f836(f300(x96833,x96831,x96834),f836(f836(f23(f906(x96833,a895)),x96835),f836(f836(f299(x96833),x96836),f178(f906(x96833,a895)))))),f836(f300(x96833,x96831,f69(x96833,x96831,x96834,x96836,x96832)),x96835))
% 190.77/190.68 [9181]~P1(f836(f836(x91814,x91815),x91816))+P1(f836(f836(f836(f836(f91(f906(x91811,f906(x91812,a895))),x91813),x91814),x91815),x91816))
% 190.77/190.68 [9183]~P1(f836(f836(x91833,x91835),x91836))+P1(f836(f836(f836(f836(f91(f906(x91831,f906(x91832,a895))),x91833),x91834),x91835),x91836))
% 190.77/190.68 [9475]P1(f836(f836(x94751,x94752),x94753))+~P1(f836(f836(f836(f836(f92(f906(x94754,f906(x94755,a895))),x94756),x94751),x94752),x94753))
% 190.77/190.68 [9476]P1(f836(f836(x94761,x94762),x94763))+~P1(f836(f836(f836(f836(f92(f906(x94764,f906(x94765,a895))),x94761),x94766),x94762),x94763))
% 190.77/190.68 [9916]~P74(x99162)+E(f836(f836(f9(x99161,x99162),f836(f836(f7(x99161,f906(x99163,a895),x99162),f836(f836(f8(f906(x99163,x99162),f906(f906(x99163,a895),x99162),x99161),f9(x99163,x99162)),x99164)),x99165)),x99166),f836(f836(f9(f905(x99161,x99163),x99162),f836(f247(x99161,x99163,x99162),x99164)),f836(f836(f244(x99161,x99163),x99166),f836(f16(f906(x99163,a895),x99161),x99165))))
% 190.77/190.68 [9917]~P73(x99172)+E(f836(f836(f6(x99171,x99172),f836(f836(f7(x99171,f906(x99173,a895),x99172),f836(f836(f8(f906(x99173,x99172),f906(f906(x99173,a895),x99172),x99171),f6(x99173,x99172)),x99174)),x99175)),x99176),f836(f836(f6(f905(x99171,x99173),x99172),f836(f247(x99171,x99173,x99172),x99174)),f836(f836(f244(x99171,x99173),x99176),f836(f16(f906(x99173,a895),x99171),x99175))))
% 190.77/190.68 [10048]~P73(x100482)+E(f836(f836(f6(x100481,x100482),f836(f836(f7(x100481,f906(x100483,a895),x100482),f836(f836(f8(f906(x100483,x100482),f906(f906(x100483,a895),x100482),x100481),f6(x100483,x100482)),f836(f7(x100483,x100481,x100482),x100484))),x100485)),x100486),f836(f836(f6(x100483,x100482),f836(f836(f7(x100483,f906(x100481,a895),x100482),f836(f836(f8(f906(x100481,x100482),f906(f906(x100481,a895),x100482),x100483),f6(x100481,x100482)),x100484)),x100486)),x100485))
% 190.77/190.68 [10365]~P1(f836(f836(f318(f905(x103651,x103652)),f836(f836(f242(x103651,x103652),x103655),x103656)),f836(f836(f91(f906(f905(x103651,x103652),a895)),x103653),x103654)))+P1(f836(f836(f836(f836(f91(f906(x103651,f906(x103652,a895))),f836(f836(f7(x103651,f906(f905(x103651,x103652),a895),f906(x103652,a895)),f836(f836(f8(f906(x103652,f906(f906(f905(x103651,x103652),a895),a895)),f906(f906(f905(x103651,x103652),a895),f906(x103652,a895)),x103651),f7(x103652,f906(f905(x103651,x103652),a895),a895)),f836(f836(f8(f906(x103652,f905(x103651,x103652)),f906(x103652,f906(f906(f905(x103651,x103652),a895),a895)),x103651),f836(f8(f905(x103651,x103652),f906(f906(f905(x103651,x103652),a895),a895),x103652),f318(f905(x103651,x103652)))),f242(x103651,x103652)))),x103653)),f836(f836(f7(x103651,f906(f905(x103651,x103652),a895),f906(x103652,a895)),f836(f836(f8(f906(x103652,f906(f906(f905(x103651,x103652),a895),a895)),f906(f906(f905(x103651,x103652),a895),f906(x103652,a895)),x103651),f7(x103652,f906(f905(x103651,x103652),a895),a895)),f836(f836(f8(f906(x103652,f905(x103651,x103652)),f906(x103652,f906(f906(f905(x103651,x103652),a895),a895)),x103651),f836(f8(f905(x103651,x103652),f906(f906(f905(x103651,x103652),a895),a895),x103652),f318(f905(x103651,x103652)))),f242(x103651,x103652)))),x103654)),x103655),x103656))
% 190.77/190.68 [10366]~P1(f836(f836(f318(f905(x103661,x103662)),f836(f836(f242(x103661,x103662),x103665),x103666)),f836(f836(f92(f906(f905(x103661,x103662),a895)),x103663),x103664)))+P1(f836(f836(f836(f836(f92(f906(x103661,f906(x103662,a895))),f836(f836(f7(x103661,f906(f905(x103661,x103662),a895),f906(x103662,a895)),f836(f836(f8(f906(x103662,f906(f906(f905(x103661,x103662),a895),a895)),f906(f906(f905(x103661,x103662),a895),f906(x103662,a895)),x103661),f7(x103662,f906(f905(x103661,x103662),a895),a895)),f836(f836(f8(f906(x103662,f905(x103661,x103662)),f906(x103662,f906(f906(f905(x103661,x103662),a895),a895)),x103661),f836(f8(f905(x103661,x103662),f906(f906(f905(x103661,x103662),a895),a895),x103662),f318(f905(x103661,x103662)))),f242(x103661,x103662)))),x103663)),f836(f836(f7(x103661,f906(f905(x103661,x103662),a895),f906(x103662,a895)),f836(f836(f8(f906(x103662,f906(f906(f905(x103661,x103662),a895),a895)),f906(f906(f905(x103661,x103662),a895),f906(x103662,a895)),x103661),f7(x103662,f906(f905(x103661,x103662),a895),a895)),f836(f836(f8(f906(x103662,f905(x103661,x103662)),f906(x103662,f906(f906(f905(x103661,x103662),a895),a895)),x103661),f836(f8(f905(x103661,x103662),f906(f906(f905(x103661,x103662),a895),a895),x103662),f318(f905(x103661,x103662)))),f242(x103661,x103662)))),x103664)),x103665),x103666))
% 190.77/190.68 [10375]P1(f836(f836(f318(f905(x103751,x103752)),f836(f836(f242(x103751,x103752),x103753),x103754)),f836(f836(f91(f906(f905(x103751,x103752),a895)),x103755),x103756)))+~P1(f836(f836(f836(f836(f91(f906(x103751,f906(x103752,a895))),f836(f836(f7(x103751,f906(f905(x103751,x103752),a895),f906(x103752,a895)),f836(f836(f8(f906(x103752,f906(f906(f905(x103751,x103752),a895),a895)),f906(f906(f905(x103751,x103752),a895),f906(x103752,a895)),x103751),f7(x103752,f906(f905(x103751,x103752),a895),a895)),f836(f836(f8(f906(x103752,f905(x103751,x103752)),f906(x103752,f906(f906(f905(x103751,x103752),a895),a895)),x103751),f836(f8(f905(x103751,x103752),f906(f906(f905(x103751,x103752),a895),a895),x103752),f318(f905(x103751,x103752)))),f242(x103751,x103752)))),x103755)),f836(f836(f7(x103751,f906(f905(x103751,x103752),a895),f906(x103752,a895)),f836(f836(f8(f906(x103752,f906(f906(f905(x103751,x103752),a895),a895)),f906(f906(f905(x103751,x103752),a895),f906(x103752,a895)),x103751),f7(x103752,f906(f905(x103751,x103752),a895),a895)),f836(f836(f8(f906(x103752,f905(x103751,x103752)),f906(x103752,f906(f906(f905(x103751,x103752),a895),a895)),x103751),f836(f8(f905(x103751,x103752),f906(f906(f905(x103751,x103752),a895),a895),x103752),f318(f905(x103751,x103752)))),f242(x103751,x103752)))),x103756)),x103753),x103754))
% 190.77/190.68 [10376]P1(f836(f836(f318(f905(x103761,x103762)),f836(f836(f242(x103761,x103762),x103763),x103764)),f836(f836(f92(f906(f905(x103761,x103762),a895)),x103765),x103766)))+~P1(f836(f836(f836(f836(f92(f906(x103761,f906(x103762,a895))),f836(f836(f7(x103761,f906(f905(x103761,x103762),a895),f906(x103762,a895)),f836(f836(f8(f906(x103762,f906(f906(f905(x103761,x103762),a895),a895)),f906(f906(f905(x103761,x103762),a895),f906(x103762,a895)),x103761),f7(x103762,f906(f905(x103761,x103762),a895),a895)),f836(f836(f8(f906(x103762,f905(x103761,x103762)),f906(x103762,f906(f906(f905(x103761,x103762),a895),a895)),x103761),f836(f8(f905(x103761,x103762),f906(f906(f905(x103761,x103762),a895),a895),x103762),f318(f905(x103761,x103762)))),f242(x103761,x103762)))),x103765)),f836(f836(f7(x103761,f906(f905(x103761,x103762),a895),f906(x103762,a895)),f836(f836(f8(f906(x103762,f906(f906(f905(x103761,x103762),a895),a895)),f906(f906(f905(x103761,x103762),a895),f906(x103762,a895)),x103761),f7(x103762,f906(f905(x103761,x103762),a895),a895)),f836(f836(f8(f906(x103762,f905(x103761,x103762)),f906(x103762,f906(f906(f905(x103761,x103762),a895),a895)),x103761),f836(f8(f905(x103761,x103762),f906(f906(f905(x103761,x103762),a895),a895),x103762),f318(f905(x103761,x103762)))),f242(x103761,x103762)))),x103766)),x103763),x103764))
% 190.77/190.68 [10359]~P1(f836(f836(f318(f905(x103592,x103593)),f836(f836(f242(x103592,x103593),x103595),x103596)),f836(f836(f35(x103591,f906(f905(x103592,x103593),a895)),f232(f906(x103591,a895))),x103594)))+P1(f836(f836(f836(f836(f35(x103591,f906(x103592,f906(x103593,a895))),f232(f906(x103591,a895))),f836(f836(f8(f906(f905(x103592,x103593),a895),f906(x103592,f906(x103593,a895)),x103591),f836(f7(x103592,f906(f905(x103592,x103593),a895),f906(x103593,a895)),f836(f836(f8(f906(x103593,f906(f906(f905(x103592,x103593),a895),a895)),f906(f906(f905(x103592,x103593),a895),f906(x103593,a895)),x103592),f7(x103593,f906(f905(x103592,x103593),a895),a895)),f836(f836(f8(f906(x103593,f905(x103592,x103593)),f906(x103593,f906(f906(f905(x103592,x103593),a895),a895)),x103592),f836(f8(f905(x103592,x103593),f906(f906(f905(x103592,x103593),a895),a895),x103593),f318(f905(x103592,x103593)))),f242(x103592,x103593))))),x103594)),x103595),x103596))
% 190.77/190.68 [10360]~P1(f836(f836(f318(f905(x103602,x103603)),f836(f836(f242(x103602,x103603),x103605),x103606)),f836(f836(f36(x103601,f906(f905(x103602,x103603),a895)),f232(f906(x103601,a895))),x103604)))+P1(f836(f836(f836(f836(f36(x103601,f906(x103602,f906(x103603,a895))),f232(f906(x103601,a895))),f836(f836(f8(f906(f905(x103602,x103603),a895),f906(x103602,f906(x103603,a895)),x103601),f836(f7(x103602,f906(f905(x103602,x103603),a895),f906(x103603,a895)),f836(f836(f8(f906(x103603,f906(f906(f905(x103602,x103603),a895),a895)),f906(f906(f905(x103602,x103603),a895),f906(x103603,a895)),x103602),f7(x103603,f906(f905(x103602,x103603),a895),a895)),f836(f836(f8(f906(x103603,f905(x103602,x103603)),f906(x103603,f906(f906(f905(x103602,x103603),a895),a895)),x103602),f836(f8(f905(x103602,x103603),f906(f906(f905(x103602,x103603),a895),a895),x103603),f318(f905(x103602,x103603)))),f242(x103602,x103603))))),x103604)),x103605),x103606))
% 190.77/190.68 [10369]P1(f836(f836(f318(f905(x103691,x103692)),f836(f836(f242(x103691,x103692),x103693),x103694)),f836(f836(f35(x103695,f906(f905(x103691,x103692),a895)),f232(f906(x103695,a895))),x103696)))+~P1(f836(f836(f836(f836(f35(x103695,f906(x103691,f906(x103692,a895))),f232(f906(x103695,a895))),f836(f836(f8(f906(f905(x103691,x103692),a895),f906(x103691,f906(x103692,a895)),x103695),f836(f7(x103691,f906(f905(x103691,x103692),a895),f906(x103692,a895)),f836(f836(f8(f906(x103692,f906(f906(f905(x103691,x103692),a895),a895)),f906(f906(f905(x103691,x103692),a895),f906(x103692,a895)),x103691),f7(x103692,f906(f905(x103691,x103692),a895),a895)),f836(f836(f8(f906(x103692,f905(x103691,x103692)),f906(x103692,f906(f906(f905(x103691,x103692),a895),a895)),x103691),f836(f8(f905(x103691,x103692),f906(f906(f905(x103691,x103692),a895),a895),x103692),f318(f905(x103691,x103692)))),f242(x103691,x103692))))),x103696)),x103693),x103694))
% 190.77/190.68 [10370]P1(f836(f836(f318(f905(x103701,x103702)),f836(f836(f242(x103701,x103702),x103703),x103704)),f836(f836(f36(x103705,f906(f905(x103701,x103702),a895)),f232(f906(x103705,a895))),x103706)))+~P1(f836(f836(f836(f836(f36(x103705,f906(x103701,f906(x103702,a895))),f232(f906(x103705,a895))),f836(f836(f8(f906(f905(x103701,x103702),a895),f906(x103701,f906(x103702,a895)),x103705),f836(f7(x103701,f906(f905(x103701,x103702),a895),f906(x103702,a895)),f836(f836(f8(f906(x103702,f906(f906(f905(x103701,x103702),a895),a895)),f906(f906(f905(x103701,x103702),a895),f906(x103702,a895)),x103701),f7(x103702,f906(f905(x103701,x103702),a895),a895)),f836(f836(f8(f906(x103702,f905(x103701,x103702)),f906(x103702,f906(f906(f905(x103701,x103702),a895),a895)),x103701),f836(f8(f905(x103701,x103702),f906(f906(f905(x103701,x103702),a895),a895),x103702),f318(f905(x103701,x103702)))),f242(x103701,x103702))))),x103706)),x103703),x103704))
% 190.77/190.68 [7555]E(f836(x75551,f836(x75552,x75553)),f836(x75554,x75553))+~E(f836(f67(x75555,x75556,x75557,x75551),x75552),x75554)
% 190.77/190.68 [9699]E(x96991,x96992)+E(f69(x96993,x96994,f69(x96993,x96994,x96995,x96991,x96996),x96992,x96997),f69(x96993,x96994,f69(x96993,x96994,x96995,x96992,x96997),x96991,x96996))
% 190.77/190.68 [9790]~P22(x97903,x97904,x97901,x97905,x97906,x97907)+E(f836(f836(x97901,x97902),x97902),x97902)
% 190.77/190.68 [6088]~E(f836(f836(f144(x60881,x60885),x60886),x60882),f836(f836(f144(x60883,x60885),x60887),x60884))+E(f836(f179(f900(x60881)),x60882),f836(f179(f900(x60883)),x60884))
% 190.77/190.68 [8584]E(f836(x85841,f836(x85842,x85843)),f836(x85844,x85843))+~E(f836(f67(x85845,x85846,x85847,x85841),x85842),f836(f67(x85846,x85846,x85847,f25(x85846)),x85844))
% 190.77/190.68 [8938]~P33(x89384,x89385,x89381,f836(f836(f141(x89384),x89382),x89386),f836(f836(f141(x89385),x89383),x89387))+P1(f836(f836(x89381,x89382),x89383))
% 190.77/190.68 [9315]P33(x93151,x93152,x93153,x93154,x93155)+~P33(x93151,x93152,x93153,f836(f836(f141(x93151),x93156),x93154),f836(f836(f141(x93152),x93157),x93155))
% 190.77/190.68 [9949]P1(f836(f836(x99491,x99492),f497(x99493,x99492,x99494,x99491)))+~P1(f836(f836(f243(x99495,x99496,x99497,x99491,x99494),x99492),x99493))
% 190.77/190.68 [9973]P1(f836(f836(x99731,f497(x99732,x99733,x99731,x99734)),x99732))+~P1(f836(f836(f243(x99735,x99736,x99737,x99734,x99731),x99733),x99732))
% 190.77/190.68 [9055]~P20(x90556,x90551,x90553,x90557)+E(f836(f67(x90551,x90551,x90552,f836(x90553,x90554)),f836(f67(x90551,x90551,x90552,f836(x90553,x90554)),x90555)),f836(f67(x90551,x90551,x90552,f836(x90553,x90554)),x90555))
% 190.77/190.68 [9428]~P33(x94283,x94282,x94284,f836(f836(f144(x94281,x94283),x94285),x94286),x94287)+P33(x94281,x94282,f836(f836(f8(x94283,f906(x94282,a895),x94281),x94284),x94285),x94286,x94287)
% 190.77/190.68 [9451]P33(x94511,x94512,x94513,f836(f836(f144(x94514,x94511),x94515),x94516),x94517)+~P33(x94514,x94512,f836(f836(f8(x94511,f906(x94512,a895),x94514),x94513),x94515),x94516,x94517)
% 190.77/190.68 [9054]~P1(f836(f836(f318(x90541),x90542),f836(f836(x90545,x90546),x90547)))+P1(f836(f836(f318(x90541),x90542),f836(f836(f247(x90543,x90544,f906(x90541,a895)),x90545),f836(f836(f242(x90543,x90544),x90546),x90547))))
% 190.77/190.68 [9341]P1(f836(f836(f836(x93411,x93412),x93413),x93414))+~P1(f836(f836(f836(f247(x93415,x93416,f906(x93417,a895)),x93411),f836(f836(f242(x93415,x93416),x93412),x93413)),x93414))
% 190.77/190.68 [9490]P1(f836(f836(f318(x94901),f836(f836(x94902,x94903),x94904)),f836(f300(f905(x94905,x94906),x94901,f836(f247(x94905,x94906,x94901),x94902)),x94907)))+~P1(f836(f836(f318(f905(x94905,x94906)),f836(f836(f242(x94905,x94906),x94903),x94904)),x94907))
% 190.77/190.68 [9837]P1(f836(f836(f318(f905(f900(x98371),f900(x98371))),f836(f836(f242(f900(x98371),f900(x98371)),f836(f836(f124(x98371),x98372),f836(f836(f141(x98371),x98373),x98374))),f836(f836(f124(x98371),x98372),f836(f836(f141(x98371),x98375),x98376)))),f137(x98371,x98377)))+~P1(f836(f836(f318(f905(x98371,x98371)),f836(f836(f242(x98371,x98371),x98373),x98375)),x98377))
% 190.77/190.68 [9901]~P33(x99011,x99013,x99014,x99016,f836(f836(f144(x99012,x99013),x99015),x99017))+P33(x99011,x99012,f836(f836(f7(x99011,f906(x99012,x99013),f906(x99012,a895)),f836(f836(f8(f906(x99013,a895),f906(f906(x99012,x99013),f906(x99012,a895)),x99011),f8(x99013,a895,x99012)),x99014)),x99015),x99016,x99017)
% 190.77/190.68 [9977]P33(x99771,x99772,x99773,x99774,f836(f836(f144(x99775,x99772),x99776),x99777))+~P33(x99771,x99775,f836(f836(f7(x99771,f906(x99775,x99772),f906(x99775,a895)),f836(f836(f8(f906(x99772,a895),f906(f906(x99775,x99772),f906(x99775,a895)),x99771),f8(x99772,a895,x99775)),x99773)),x99776),x99774,x99777)
% 190.77/190.68 [10288]P1(f836(f836(f318(x102881),f588(x102882,x102883,x102884,x102885,x102886,x102887,x102881)),x102885))+P1(f836(f836(f836(f836(f36(x102881,f906(x102887,f906(x102886,a895))),x102885),x102884),x102883),x102882))
% 190.77/190.68 [10289]P1(f836(f836(f318(x102891),f762(x102892,x102893,x102894,x102895,x102896,x102897,x102891)),x102897))+P1(f836(f836(f836(f836(f36(x102891,f906(x102893,f906(x102892,a895))),x102897),x102896),x102895),x102894))
% 190.77/190.68 [10290]P1(f836(f836(f318(x102901),f443(x102902,x102903,x102904,x102905,x102906,x102907,x102901)),x102905))+~P1(f836(f836(f836(f836(f35(x102901,f906(x102907,f906(x102906,a895))),x102905),x102904),x102903),x102902))
% 190.77/190.68 [10291]P1(f836(f836(f318(x102911),f763(x102912,x102913,x102914,x102915,x102916,x102917,x102911)),x102915))+~P1(f836(f836(f836(f836(f35(x102911,f906(x102917,f906(x102916,a895))),x102915),x102914),x102913),x102912))
% 190.77/190.68 [10324]P1(f836(f836(f836(x103241,f443(x103242,x103243,x103241,x103244,x103245,x103246,x103247)),x103243),x103242))+~P1(f836(f836(f836(f836(f35(x103247,f906(x103246,f906(x103245,a895))),x103244),x103241),x103243),x103242))
% 190.77/190.68 [10325]P1(f836(f836(f836(x103251,f763(x103252,x103253,x103251,x103254,x103255,x103256,x103257)),x103253),x103252))+~P1(f836(f836(f836(f836(f35(x103257,f906(x103256,f906(x103255,a895))),x103254),x103251),x103253),x103252))
% 190.77/190.68 [10340]~P1(f836(f836(f836(x103405,f588(x103407,x103406,x103405,x103404,x103403,x103402,x103401)),x103406),x103407))+P1(f836(f836(f836(f836(f36(x103401,f906(x103402,f906(x103403,a895))),x103404),x103405),x103406),x103407))
% 190.77/190.68 [10341]~P1(f836(f836(f836(x103415,f762(x103413,x103412,x103417,x103416,x103415,x103414,x103411)),x103416),x103417))+P1(f836(f836(f836(f836(f36(x103411,f906(x103412,f906(x103413,a895))),x103414),x103415),x103416),x103417))
% 190.77/190.68 [10358]~P1(f836(f836(f318(f905(x103581,x103583)),f836(f836(f242(x103581,x103583),x103586),x103587)),f836(f836(f279(x103581,x103582,x103583),x103584),x103585)))+P1(f836(f836(f243(x103581,x103582,x103583,f836(f836(f7(x103581,f906(f905(x103581,x103582),a895),f906(x103582,a895)),f836(f836(f8(f906(x103582,f906(f906(f905(x103581,x103582),a895),a895)),f906(f906(f905(x103581,x103582),a895),f906(x103582,a895)),x103581),f7(x103582,f906(f905(x103581,x103582),a895),a895)),f836(f836(f8(f906(x103582,f905(x103581,x103582)),f906(x103582,f906(f906(f905(x103581,x103582),a895),a895)),x103581),f836(f8(f905(x103581,x103582),f906(f906(f905(x103581,x103582),a895),a895),x103582),f318(f905(x103581,x103582)))),f242(x103581,x103582)))),x103584),f836(f836(f7(x103582,f906(f905(x103582,x103583),a895),f906(x103583,a895)),f836(f836(f8(f906(x103583,f906(f906(f905(x103582,x103583),a895),a895)),f906(f906(f905(x103582,x103583),a895),f906(x103583,a895)),x103582),f7(x103583,f906(f905(x103582,x103583),a895),a895)),f836(f836(f8(f906(x103583,f905(x103582,x103583)),f906(x103583,f906(f906(f905(x103582,x103583),a895),a895)),x103582),f836(f8(f905(x103582,x103583),f906(f906(f905(x103582,x103583),a895),a895),x103583),f318(f905(x103582,x103583)))),f242(x103582,x103583)))),x103585)),x103586),x103587))
% 190.77/190.68 [10368]P1(f836(f836(f318(f905(x103681,x103682)),f836(f836(f242(x103681,x103682),x103683),x103684)),f836(f836(f279(x103681,x103685,x103682),x103686),x103687)))+~P1(f836(f836(f243(x103681,x103685,x103682,f836(f836(f7(x103681,f906(f905(x103681,x103685),a895),f906(x103685,a895)),f836(f836(f8(f906(x103685,f906(f906(f905(x103681,x103685),a895),a895)),f906(f906(f905(x103681,x103685),a895),f906(x103685,a895)),x103681),f7(x103685,f906(f905(x103681,x103685),a895),a895)),f836(f836(f8(f906(x103685,f905(x103681,x103685)),f906(x103685,f906(f906(f905(x103681,x103685),a895),a895)),x103681),f836(f8(f905(x103681,x103685),f906(f906(f905(x103681,x103685),a895),a895),x103685),f318(f905(x103681,x103685)))),f242(x103681,x103685)))),x103686),f836(f836(f7(x103685,f906(f905(x103685,x103682),a895),f906(x103682,a895)),f836(f836(f8(f906(x103682,f906(f906(f905(x103685,x103682),a895),a895)),f906(f906(f905(x103685,x103682),a895),f906(x103682,a895)),x103685),f7(x103682,f906(f905(x103685,x103682),a895),a895)),f836(f836(f8(f906(x103682,f905(x103685,x103682)),f906(x103682,f906(f906(f905(x103685,x103682),a895),a895)),x103685),f836(f8(f905(x103685,x103682),f906(f906(f905(x103685,x103682),a895),a895),x103682),f318(f905(x103685,x103682)))),f242(x103685,x103682)))),x103687)),x103683),x103684))
% 190.77/190.68 [10300]~P145(x103002)+E(f836(f836(f6(x103001,x103002),f836(f836(f7(x103001,f906(x103003,a895),x103002),f836(f836(f8(f906(x103003,x103002),f906(f906(x103003,a895),x103002),x103001),f6(x103003,x103002)),f836(f836(f7(x103001,f906(x103003,x103002),f906(x103003,x103002)),f836(f836(f8(f906(x103002,x103002),f906(f906(x103003,x103002),f906(x103003,x103002)),x103001),f8(x103002,x103002,x103003)),f836(f836(f8(x103002,f906(x103002,x103002),x103001),f75(x103002)),x103004))),x103005))),x103006)),x103007),f836(f836(f75(x103002),f836(f836(f6(x103001,x103002),x103004),x103007)),f836(f836(f6(x103003,x103002),x103005),x103006)))
% 190.77/190.68 [9375]~P19(x93757,x93751,x93753,x93758)+E(f836(f67(x93751,x93751,x93752,f836(x93753,x93754)),f836(f67(x93751,x93751,x93752,f836(x93753,x93755)),x93756)),f836(f67(x93751,x93751,x93752,f836(x93753,x93755)),f836(f67(x93751,x93751,x93752,f836(x93753,x93754)),x93756)))
% 190.77/190.68 [10363]E(f836(f836(f242(x103631,x103632),f836(x103633,f481(x103634,x103635,x103633,x103636,x103637,x103638,x103632,x103631))),f836(x103635,f482(x103634,x103635,x103633,x103636,x103637,x103638,x103632,x103631))),x103638)+~P1(f836(f836(f318(f905(x103631,x103632)),x103638),f836(f300(f905(x103637,x103636),f905(x103631,x103632),f248(x103637,x103631,x103636,x103632,x103633,x103635)),x103634)))
% 190.77/190.68 [10381]~P1(f836(f836(f318(f905(x103818,x103817)),x103816),f836(f300(f905(x103811,x103812),f905(x103818,x103817),f248(x103811,x103818,x103812,x103817,x103815,x103814)),x103813)))+P1(f836(f836(f318(f905(x103811,x103812)),f836(f836(f242(x103811,x103812),f481(x103813,x103814,x103815,x103812,x103811,x103816,x103817,x103818)),f482(x103813,x103814,x103815,x103812,x103811,x103816,x103817,x103818))),x103813))
% 190.77/190.68 [9827]P1(f836(f836(f318(f905(f905(x98271,x98272),f905(x98271,x98272))),f836(f836(f242(f905(x98271,x98272),f905(x98271,x98272)),f836(f836(f242(x98271,x98272),x98273),x98274)),f836(f836(f242(x98271,x98272),x98275),x98276))),f310(x98271,x98272,x98277,x98278)))+~P1(f836(f836(f318(f905(x98271,x98271)),f836(f836(f242(x98271,x98271),x98273),x98275)),x98277))
% 190.77/190.68 [10352]E(f836(f132(x103521,x103522,f836(f7(x103522,x103521,x103521),x103523),f836(x103524,x103525)),x103526),f836(x103524,f836(f132(x103527,x103522,f836(f7(x103522,x103527,x103527),x103528),x103525),x103526)))+P1(f836(f836(f318(x103522),f709(x103525,x103528,x103524,x103523,x103527,x103521,x103526,x103522)),f836(f162(x103522),x103526)))
% 190.77/190.68 [10371]~E(f836(f67(x103711,x103711,x103717,f836(x103713,f709(x103715,x103718,x103714,x103713,x103717,x103711,x103716,x103712))),x103714),f836(f67(x103717,x103711,x103717,x103714),f836(x103718,f709(x103715,x103718,x103714,x103713,x103717,x103711,x103716,x103712))))+E(f836(f132(x103711,x103712,f836(f7(x103712,x103711,x103711),x103713),f836(x103714,x103715)),x103716),f836(x103714,f836(f132(x103717,x103712,f836(f7(x103712,x103717,x103717),x103718),x103715),x103716)))
% 190.77/190.68 [8589]E(f836(x85891,f836(x85892,x85893)),f836(x85894,f836(x85895,x85893)))+~E(f836(f67(x85896,x85897,x85898,x85891),x85892),f836(f67(x85899,x85897,x85898,x85894),x85895))
% 190.77/190.68 [10209]P1(f836(f836(f318(f905(x102091,x102092)),f836(f836(f242(x102091,x102092),f836(x102093,x102094)),f836(x102095,x102096))),f836(f300(f905(x102097,x102098),f905(x102091,x102092),f248(x102097,x102091,x102098,x102092,x102093,x102095)),x102099)))+~P1(f836(f836(f318(f905(x102097,x102098)),f836(f836(f242(x102097,x102098),x102094),x102096)),x102099))
% 190.77/190.68 [8884]~E(f836(x88844,f836(x88845,x88846)),f836(x88849,f836(x888410,x888411)))+E(f836(f836(f67(x88841,x88842,x88843,x88844),x88845),x88846),f836(f836(f67(x88847,x88842,x88848,x88849),x888410),x888411))
% 190.77/190.68 [4647]~P108(x46471)+~P98(x46471)+E(f223(x46471),f91(x46471))
% 190.77/190.68 [4648]~P108(x46481)+~P104(x46481)+E(f228(x46481),f92(x46481))
% 190.77/190.68 [4893]~P111(x48931)+~P94(x48931)+E(f836(f70(x48931),f836(f94(x48931),a87)),f72(x48931))
% 190.77/190.68 [5186]E(x51861,f2(a1))+E(f76(a1,x51861),f836(f73(a1),f72(a1)))+P1(f836(f836(f225(a1),f2(a1)),x51861))
% 190.77/190.68 [5391]E(x53911,f2(a1))+E(f76(a1,x53911),f72(a1))+~P1(f836(f836(f225(a1),f2(a1)),x53911))
% 190.77/190.68 [7454]~P39(x74541)+P1(f836(f29(a1),x74541))+~P1(f836(f29(a899),f836(f300(a1,a899,a95),x74541)))
% 190.77/190.68 [9789]E(x97891,f178(f906(f905(a899,a899),a895)))+~P1(f836(f29(f905(a899,a899)),x97891))+P1(f836(f836(f318(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f836(f836(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),f178(f906(f905(a899,a899),a895))),x97891)),a28))
% 190.77/190.68 [9950]E(x99501,f2(a899))+E(x99501,f836(a102,f2(a899)))+~P1(f836(f836(f225(a899),x99501),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))))
% 190.77/190.68 [10238]E(x102381,f2(a89))+E(f836(f836(f74(a1),f836(f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f836(a22,f836(f836(f31(a89),x102381),f836(f94(a89),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))))),f72(a1)),f836(a22,x102381))+E(f41(a89,x102381,f836(f94(a89),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f2(a89))
% 190.77/190.68 [10086]E(x100861,f2(a89))+~E(f41(a89,x100861,f836(f94(a89),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f2(a89))+E(f836(f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f836(a22,f836(f836(f31(a89),x100861),f836(f94(a89),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))))),f836(a22,x100861))
% 190.77/190.68 [4728]~P57(x47281,x47282)+P43(x47281,x47282)+~P44(a895)
% 190.77/190.68 [4657]~P144(x46571)+P27(x46571,x46572)+~E(x46572,f2(x46571))
% 190.77/190.68 [4658]~P108(x46581)+P13(x46581,x46582)+~E(x46582,f103(x46581))
% 190.77/190.68 [4667]~P111(x46671)+~E(x46672,f2(x46671))+E(f76(x46671,x46672),f2(x46671))
% 190.77/190.68 [4668]~P90(x46681)+~E(x46682,f2(x46681))+E(f76(x46681,x46682),f2(x46681))
% 190.77/190.68 [4676]~P144(x46762)+~P27(x46762,x46761)+E(x46761,f2(x46762))
% 190.77/190.68 [4721]~P111(x47212)+~E(f76(x47212,x47211),f2(x47212))+E(x47211,f2(x47212))
% 190.77/190.68 [4735]~P2(x47352)+~P2(x47351)+P2(f906(x47351,x47352))
% 190.77/190.68 [4736]~P2(x47362)+~P2(x47361)+P2(f904(x47361,x47362))
% 190.77/190.68 [4737]~P2(x47372)+~P2(x47371)+P2(f905(x47371,x47372))
% 190.77/190.68 [4738]~P6(x47382)+~P6(x47381)+P6(f184(x47381,x47382))
% 190.77/190.68 [4739]~P60(x47392)+~P60(x47391)+P60(f906(x47391,x47392))
% 190.77/190.68 [4740]~P60(x47402)+~P60(x47401)+P60(f904(x47401,x47402))
% 190.77/190.68 [4741]~P60(x47412)+~P60(x47411)+P60(f905(x47411,x47412))
% 190.77/190.68 [4742]~P105(x47422)+~P105(x47421)+P105(f905(x47421,x47422))
% 190.77/190.68 [4865]~P108(x48651)+~P13(x48651,x48652)+P13(x48651,f142(x48651,x48652))
% 190.77/190.68 [5113]~P6(x51132)+~P6(x51131)+P6(f41(a1,x51131,x51132))
% 190.77/190.68 [4678]~P77(x46781)+~E(x46782,f2(x46781))+E(f836(f73(x46781),x46782),x46782)
% 190.77/190.68 [4693]~P92(x46931)+~E(x46932,f2(a1))+E(f836(f93(x46931),x46932),f2(x46931))
% 190.77/190.68 [4694]~P128(x46941)+~E(x46942,f2(a1))+E(f836(f93(x46941),x46942),f2(x46941))
% 190.77/190.68 [4718]~P66(x47181)+~E(f2(x47181),x47182)+E(f836(f73(x47181),x47182),f2(x47181))
% 190.77/190.68 [4719]~P66(x47191)+~E(x47192,f2(x47191))+E(f836(f73(x47191),x47192),f2(x47191))
% 190.77/190.68 [4720]~P86(x47201)+~E(x47202,f2(x47201))+E(f836(f70(x47201),x47202),f2(x47201))
% 190.77/190.68 [4744]~P77(x47442)+E(x47441,f2(x47442))+~E(f836(f73(x47442),x47441),x47441)
% 190.77/190.68 [4746]E(x47461,f836(a95,x47462))+~E(x47461,f2(a899))+~E(x47462,f836(f90(a1),x47461))
% 190.77/190.68 [4747]E(f836(a95,x47471),x47472)+~E(x47472,f2(a899))+~E(x47471,f836(f90(a1),x47472))
% 190.77/190.68 [4751]~P92(x47512)+E(x47511,f2(a1))+~E(f836(f93(x47512),x47511),f2(x47512))
% 190.77/190.68 [4755]~P66(x47552)+E(x47551,f2(x47552))+~E(f836(f73(x47552),x47551),f2(x47552))
% 190.77/190.68 [4756]~P86(x47562)+E(x47561,f2(x47562))+~E(f836(f70(x47562),x47561),f2(x47562))
% 190.77/190.68 [4757]~P66(x47571)+E(f2(x47571),x47572)+~E(f836(f73(x47571),x47572),f2(x47571))
% 190.77/190.68 [4940]~P108(x49401)+~P13(x49401,x49402)+P13(x49401,f836(f161(x49401),x49402))
% 190.77/190.68 [4967]~P1(x49672)+~P1(x49671)+P1(f836(f836(a315,x49671),x49672))
% 190.77/190.68 [5005]~E(f72(a899),f2(a899))+E(f836(f30(x50051),x50052),f2(a899))+~P1(f836(f29(x50051),x50052))
% 190.77/190.68 [5041]~P115(x50411)+~P145(x50411)+E(f836(f836(f234(x50411),f2(x50411)),f836(a102,x50412)),f2(x50411))
% 190.77/190.68 [5081]~P108(x50811)+P13(x50811,f129(x50811,x50812))+~P1(f836(f29(x50811),x50812))
% 190.77/190.68 [5082]~P108(x50821)+P13(x50821,f702(x50822,x50821))+~P1(f836(f29(x50821),x50822))
% 190.77/190.68 [5105]~P108(x51051)+E(f836(f162(x51051),f129(x51051,x51052)),x51052)+~P1(f836(f29(x51051),x51052))
% 190.77/190.68 [5106]~P108(x51061)+E(f836(f162(x51061),f702(x51062,x51061)),x51062)+~P1(f836(f29(x51061),x51062))
% 190.77/190.68 [5135]P1(x51351)+P1(x51352)+~P1(f836(f836(a316,x51352),x51351))
% 190.77/190.68 [5148]E(x51481,f178(f906(x51482,a895)))+~E(f836(f30(x51482),x51481),f2(a899))+~P1(f836(f29(x51482),x51481))
% 190.77/190.68 [5153]P1(x51531)+~P1(x51532)+~P1(f836(f836(a319,x51532),x51531))
% 190.77/190.68 [5204]~P72(x52041)+E(f836(f70(x52041),x52042),x52042)+P1(f836(f836(f225(x52041),x52042),f2(x52041)))
% 190.77/190.68 [5264]~P60(x52642)+~P1(f836(f52(x52642),x52641))+P1(f836(x52641,f703(x52641,x52642)))
% 190.77/190.68 [5265]~P60(x52652)+~P1(f836(f52(x52652),x52651))+P1(f836(x52651,f710(x52651,x52652)))
% 190.77/190.68 [5306]E(x53061,f103(x53062))+P1(f836(f127(x53062),f104(x53062,x53061)))+~P1(f836(f127(x53062),x53061))
% 190.77/190.68 [5311]~P108(x53111)+~P1(f836(f29(x53111),x53112))+P1(f836(f127(x53111),f129(x53111,x53112)))
% 190.77/190.68 [5312]~P108(x53121)+~P1(f836(f29(x53121),x53122))+P1(f836(f127(x53121),f702(x53122,x53121)))
% 190.77/190.68 [5317]~P128(x53171)+E(f836(f90(x53171),f836(a95,x53172)),f836(f93(x53171),x53172))+P1(f836(f836(f225(a1),x53172),f2(a1)))
% 190.77/190.68 [5338]P7(x53382,x53381)+E(f836(x53381,f432(x53381)),f836(x53381,f453(x53381)))+P1(f836(f836(x53381,f432(x53381)),f453(x53381)))
% 190.77/190.68 [5351]E(f836(f90(a1),f797(x53511,x53512)),x53511)+P1(f836(x53512,f836(a95,x53511)))+~P1(f836(x53512,f2(a899)))
% 190.77/190.68 [5364]~P60(x53641)+~P1(f836(x53642,f717(x53642,x53641)))+P1(f836(f53(x53641),x53642))
% 190.77/190.68 [5365]~P60(x53651)+~P1(f836(x53652,f727(x53652,x53651)))+P1(f836(f53(x53651),x53652))
% 190.77/190.68 [5401]~P111(x54011)+~E(f76(x54011,x54012),f836(f73(x54011),f72(x54011)))+P1(f836(f836(f225(x54011),x54012),f2(x54011)))
% 190.77/190.68 [5476]~E(x54762,f2(a1))+E(f205(x54761,x54762),f836(f836(f242(a1,a1),f2(a1)),f72(a1)))+P1(f836(f836(f225(a1),x54762),f2(a1)))
% 190.77/190.68 [5477]~E(x54771,f2(a1))+E(f205(x54771,x54772),f836(f836(f242(a1,a1),f2(a1)),f72(a1)))+P1(f836(f836(f225(a1),x54772),f2(a1)))
% 190.77/190.68 [5530]E(f836(f90(a1),f797(x55301,x55302)),x55301)+P1(f836(x55302,f836(a95,x55301)))+P1(f836(f836(f225(a1),x55301),f2(a1)))
% 190.77/190.68 [5598]~P111(x55981)+E(f76(x55981,x55982),f836(f73(x55981),f72(x55981)))+~P1(f836(f836(f225(x55981),x55982),f2(x55981)))
% 190.77/190.68 [5599]~P86(x55991)+E(f836(f70(x55991),x55992),f836(f73(x55991),x55992))+~P1(f836(f836(f224(x55991),x55992),f2(x55991)))
% 190.77/190.68 [5600]~P86(x56001)+E(f836(f70(x56001),x56002),f836(f73(x56001),x56002))+~P1(f836(f836(f225(x56001),x56002),f2(x56001)))
% 190.77/190.68 [5601]~P72(x56011)+E(f836(f70(x56011),x56012),f836(f73(x56011),x56012))+~P1(f836(f836(f225(x56011),x56012),f2(x56011)))
% 190.77/190.68 [5701]~P1(f836(x57011,f797(x57012,x57011)))+P1(f836(x57011,f836(a95,x57012)))+~P1(f836(x57011,f2(a899)))
% 190.77/190.68 [5708]E(x57081,f2(a899))+E(f836(a102,f433(x57082,x57081)),x57081)+~P1(f836(f836(f225(a899),x57081),f836(a102,x57082)))
% 190.77/190.68 [5712]P7(x57121,x57122)+~E(f836(x57122,f432(x57122)),f836(x57122,f453(x57122)))+~P1(f836(f836(x57122,f432(x57122)),f453(x57122)))
% 190.77/190.68 [5730]~P108(x57301)+P13(x57301,x57302)+P1(f836(f836(f224(a899),f685(x57302,x57301)),f686(x57302,x57301)))
% 190.77/190.68 [5731]~P108(x57311)+P13(x57311,x57312)+P1(f836(f836(f224(a899),f693(x57312,x57311)),f697(x57312,x57311)))
% 190.77/190.68 [5817]~P86(x58171)+~E(x58172,f2(x58171))+P1(f836(f836(f224(x58171),f836(f70(x58171),x58172)),f2(x58171)))
% 190.77/190.68 [5914]~P1(f836(x59141,f797(x59142,x59141)))+P1(f836(x59141,f836(a95,x59142)))+P1(f836(f836(f225(a1),x59142),f2(a1)))
% 190.77/190.68 [5939]~P1(f836(x59391,f836(a95,x59392)))+P1(f836(x59391,f2(a899)))+~P1(f836(f836(f225(a1),x59392),f2(a1)))
% 190.77/190.68 [6292]~P111(x62921)+~P1(f836(f836(f225(x62921),x62922),f2(x62921)))+P1(f836(f836(f225(x62921),f76(x62921,x62922)),f2(x62921)))
% 190.77/190.68 [6412]~P111(x64121)+P1(f836(f836(f224(x64121),f836(f93(x64121),x64122)),f2(x64121)))+~P1(f836(f836(f224(a1),x64122),f2(a1)))
% 190.77/190.68 [6413]~P111(x64131)+P1(f836(f836(f225(x64131),f836(f93(x64131),x64132)),f2(x64131)))+~P1(f836(f836(f225(a1),x64132),f2(a1)))
% 190.77/190.68 [6423]~P86(x64232)+E(x64231,f2(x64232))+~P1(f836(f836(f224(x64232),f836(f70(x64232),x64231)),f2(x64232)))
% 190.77/190.68 [6501]~P128(x65011)+~P1(f836(f836(f318(x65011),x65012),f100(x65011)))+P1(f836(f836(f318(x65011),f836(f73(x65011),x65012)),f100(x65011)))
% 190.77/190.68 [6534]~P111(x65341)+~P1(f836(f836(f225(x65341),f76(x65341,x65342)),f2(x65341)))+P1(f836(f836(f225(x65341),x65342),f2(x65341)))
% 190.77/190.68 [6712]~P111(x67122)+~P1(f836(f836(f224(x67122),f836(f93(x67122),x67121)),f2(x67122)))+P1(f836(f836(f224(a1),x67121),f2(a1)))
% 190.77/190.68 [6713]~P111(x67132)+~P1(f836(f836(f225(x67132),f836(f93(x67132),x67131)),f2(x67132)))+P1(f836(f836(f225(a1),x67131),f2(a1)))
% 190.77/190.68 [7228]~P77(x72281)+~P1(f836(f836(f224(x72281),x72282),f2(x72281)))+P1(f836(f836(f224(x72281),f836(f836(f74(x72281),x72282),x72282)),f2(x72281)))
% 190.77/190.68 [7230]~P111(x72301)+~P1(f836(f836(f225(x72301),x72302),f2(x72301)))+P1(f836(f836(f225(x72301),f836(f836(f74(x72301),x72302),x72302)),f2(x72301)))
% 190.77/190.68 [7231]~P77(x72311)+~P1(f836(f836(f225(x72311),x72312),f2(x72311)))+P1(f836(f836(f225(x72311),f836(f836(f74(x72311),x72312),x72312)),f2(x72311)))
% 190.77/190.68 [7802]~P77(x78021)+~P1(f836(f836(f224(x78021),f836(f836(f74(x78021),x78022),x78022)),f2(x78021)))+P1(f836(f836(f224(x78021),x78022),f2(x78021)))
% 190.77/190.68 [7803]~P111(x78031)+~P1(f836(f836(f225(x78031),f836(f836(f74(x78031),x78032),x78032)),f2(x78031)))+P1(f836(f836(f225(x78031),x78032),f2(x78031)))
% 190.77/190.68 [7804]~P77(x78041)+~P1(f836(f836(f225(x78041),f836(f836(f74(x78041),x78042),x78042)),f2(x78041)))+P1(f836(f836(f225(x78041),x78042),f2(x78041)))
% 190.77/190.68 [4792]~E(x47922,f2(a899))+~E(x47921,f2(a899))+E(f836(f836(f74(a899),x47921),x47922),f2(a899))
% 190.77/190.68 [4793]~E(x47932,f72(a899))+~E(x47931,f72(a899))+E(f836(f836(f75(a899),x47931),x47932),f72(a899))
% 190.77/190.68 [4794]~E(x47942,f72(a1))+~E(x47941,f72(a1))+E(f836(f836(f75(a1),x47941),x47942),f72(a1))
% 190.77/190.68 [4849]~P3(x48492)+E(x48491,f2(x48492))+E(f836(f836(f31(x48492),x48491),x48491),f72(x48492))
% 190.77/190.68 [4850]~P122(x48502)+E(x48501,f2(x48502))+E(f836(f836(f281(x48502),x48501),x48501),f72(x48502))
% 190.77/190.68 [4851]~P123(x48512)+E(x48511,f2(x48512))+E(f836(f836(f281(x48512),x48511),x48511),f72(x48512))
% 190.77/190.68 [4869]~P77(x48691)+~E(x48692,f2(x48691))+E(f836(f836(f74(x48691),x48692),x48692),f2(x48691))
% 190.77/190.68 [4872]~P143(x48721)+~E(x48722,f72(x48721))+E(f836(f836(f75(x48721),x48722),x48722),f72(x48721))
% 190.77/190.68 [4873]~P123(x48731)+~E(x48732,f2(x48731))+E(f836(f836(f281(x48731),x48732),x48732),f2(x48731))
% 190.77/190.68 [4918]~E(x49182,f2(a899))+~E(x49181,f2(a899))+E(f836(f73(a1),f836(f90(a1),x49181)),f836(f90(a1),x49182))
% 190.77/190.68 [4937]E(x49371,f72(a899))+E(x49372,f2(a899))+~E(f836(f836(f75(a899),x49372),x49371),x49372)
% 190.77/190.68 [4949]E(x49491,f2(a899))+E(x49492,f2(a899))+~E(f836(f836(f75(a899),x49492),x49491),f2(a899))
% 190.77/190.68 [4976]~E(x49762,f2(a899))+~E(x49761,f836(a102,f2(a899)))+E(f836(f836(f74(a899),x49761),x49762),f836(a102,f2(a899)))
% 190.77/190.68 [4977]~E(x49771,f2(a899))+~E(x49772,f836(a102,f2(a899)))+E(f836(f836(f74(a899),x49771),x49772),f836(a102,f2(a899)))
% 190.77/190.68 [4984]E(x49841,f72(a1))+E(x49842,f836(f94(a1),a87))+~E(f836(f836(f75(a1),x49841),x49842),f72(a1))
% 190.77/190.68 [4985]E(x49851,f72(a1))+E(x49852,f836(f94(a1),a87))+~E(f836(f836(f75(a1),x49852),x49851),f72(a1))
% 190.77/190.68 [4986]E(x49861,f72(a1))+E(x49861,f836(f94(a1),a87))+~E(f836(f836(f75(a1),x49862),x49861),f72(a1))
% 190.77/190.68 [4988]E(x49881,f72(a1))+E(x49881,f836(f94(a1),a87))+~E(f836(f836(f75(a1),x49881),x49882),f72(a1))
% 190.77/190.68 [5013]~P77(x50132)+E(x50131,f2(x50132))+~E(f836(f836(f74(x50132),x50131),x50131),f2(x50132))
% 190.77/190.68 [5019]~E(x50191,f836(f94(a1),a87))+~E(x50192,f836(f94(a1),a87))+E(f836(f836(f75(a1),x50191),x50192),f72(a1))
% 190.77/190.68 [5030]E(x50301,f2(a899))+E(x50302,f2(a899))+~E(f836(f836(f74(a899),x50302),x50301),f836(a102,f2(a899)))
% 190.77/190.68 [5040]~P94(x50401)+~P61(x50401)+E(f836(f836(f281(x50401),x50402),f836(f94(x50401),a77)),f2(x50401))
% 190.77/190.68 [5047]~P143(x50471)+~E(x50472,f836(f73(x50471),f72(x50471)))+E(f836(f836(f75(x50471),x50472),x50472),f72(x50471))
% 190.77/190.68 [5052]~P6(x50522)+~P6(x50521)+P6(f836(f836(f74(a1),x50521),x50522))
% 190.77/190.68 [5053]~P6(x50532)+~P6(x50531)+P6(f836(f836(f75(a1),x50531),x50532))
% 190.77/190.68 [5054]~P6(x50542)+~P6(x50541)+P6(f836(f836(f31(a1),x50541),x50542))
% 190.77/190.68 [5056]~E(x50562,f2(a1))+E(x50561,f2(a1))+E(f42(x50561,x50562),f836(f836(f242(a1,a1),f2(a1)),x50561))
% 190.77/190.68 [5079]~E(x50792,f836(a102,f2(a899)))+~E(x50791,f836(a102,f2(a899)))+E(f836(f836(f75(a899),x50791),x50792),f836(a102,f2(a899)))
% 190.77/190.68 [5096]E(x50961,f2(a899))+E(x50962,f836(a102,f2(a899)))+~E(f836(f836(f234(a899),x50962),x50961),f836(a102,f2(a899)))
% 190.77/190.68 [5097]E(x50971,f2(a899))+E(x50971,f836(a102,f2(a899)))+~E(f836(f836(f74(a899),x50972),x50971),f836(a102,f2(a899)))
% 190.77/190.68 [5098]E(x50981,f2(a899))+E(x50981,f836(a102,f2(a899)))+~E(f836(f836(f74(a899),x50981),x50982),f836(a102,f2(a899)))
% 190.77/190.68 [5107]~P94(x51071)+~P61(x51071)+E(f836(f836(f281(x51071),x51072),f836(f94(x51071),a87)),f836(f73(x51071),x51072))
% 190.77/190.68 [5127]E(x51271,f836(a95,x51272))+~E(x51271,f2(a899))+P1(f836(f836(f224(a1),f2(a1)),x51272))
% 190.77/190.68 [5128]E(f836(a95,x51281),x51282)+~E(x51282,f2(a899))+P1(f836(f836(f224(a1),f2(a1)),x51281))
% 190.77/190.68 [5144]E(x51441,f836(a102,f2(a899)))+E(x51442,f836(a102,f2(a899)))+~E(f836(f836(f74(a899),x51441),x51442),f836(a102,f2(a899)))
% 190.77/190.68 [5155]~E(x51551,f836(a95,x51552))+E(x51551,f2(a899))+P1(f836(f836(f224(a1),f2(a1)),x51552))
% 190.77/190.68 [5156]~E(f836(a95,x51562),x51561)+E(x51561,f2(a899))+P1(f836(f836(f224(a1),f2(a1)),x51562))
% 190.77/190.68 [5179]~P108(x51791)+E(f836(f58(x51791,f228(x51791)),x51792),f14(x51791,x51792))+~P1(f836(f29(x51791),x51792))
% 190.77/190.68 [5180]~P108(x51801)+E(f836(f58(x51801,f223(x51801)),x51802),f15(x51801,x51802))+~P1(f836(f29(x51801),x51802))
% 190.77/190.68 [5181]~P99(x51811)+E(f836(f58(x51811,f91(x51811)),x51812),f13(x51811,x51812))+~P1(f836(f29(x51811),x51812))
% 190.77/190.68 [5182]~P99(x51821)+E(f836(f58(x51821,f92(x51821)),x51822),f10(x51821,x51822))+~P1(f836(f29(x51821),x51822))
% 190.77/190.68 [5259]E(x52591,x52592)+~E(f836(f836(f23(a899),x52592),x52591),f2(a899))+~E(f836(f836(f23(a899),x52591),x52592),f2(a899))
% 190.77/190.68 [5276]P6(x52761)+~P39(x52762)+~P1(f836(f836(f318(a1),x52761),x52762))
% 190.77/190.68 [5307]~P111(x53071)+~E(f76(x53071,x53072),f72(x53071))+P1(f836(f836(f225(x53071),f2(x53071)),x53072))
% 190.77/190.68 [5318]~P94(x53181)+E(f836(f90(x53181),f836(f94(a899),x53182)),f836(f94(x53181),x53182))+P1(f836(a183,f836(f94(a1),x53182)))
% 190.77/190.68 [5323]~P43(x53231,x53232)+P44(a895)+P1(f836(f29(f905(x53231,x53231)),x53232))
% 190.77/190.68 [5393]~P108(x53931)+E(f836(f58(x53931,f228(x53931)),x53932),f11(x53931,f228(x53931),x53932))+~P1(f836(f29(x53931),x53932))
% 190.77/190.68 [5394]~P108(x53941)+E(f836(f58(x53941,f223(x53941)),x53942),f12(x53941,f223(x53941),x53942))+~P1(f836(f29(x53941),x53942))
% 190.77/190.68 [5408]E(x54081,x54082)+P1(f836(f836(f225(a899),x54082),x54081))+P1(f836(f836(f225(a899),x54081),x54082))
% 190.77/190.68 [5409]E(x54091,x54092)+P1(f836(f836(f225(a1),x54092),x54091))+P1(f836(f836(f225(a1),x54091),x54092))
% 190.77/190.68 [5463]~P94(x54631)+E(f836(f90(x54631),f836(f94(a899),x54632)),f2(x54631))+~P1(f836(a183,f836(f94(a1),x54632)))
% 190.77/190.68 [5466]~E(x54662,f836(a95,x54661))+E(x54661,f836(f90(a1),x54662))+~P1(f836(f836(f224(a1),f2(a1)),x54661))
% 190.77/190.68 [5467]~E(f836(a95,x54671),x54672)+E(x54671,f836(f90(a1),x54672))+~P1(f836(f836(f224(a1),f2(a1)),x54671))
% 190.77/190.68 [5468]~E(x54681,f836(a95,x54682))+E(f836(f90(a1),x54681),x54682)+~P1(f836(f836(f224(a1),f2(a1)),x54682))
% 190.77/190.68 [5478]E(x54781,f836(a95,x54782))+~E(x54782,f836(f90(a1),x54781))+~P1(f836(f836(f224(a1),f2(a1)),x54782))
% 190.77/190.68 [5479]E(f836(a95,x54791),x54792)+~E(x54791,f836(f90(a1),x54792))+~P1(f836(f836(f224(a1),f2(a1)),x54791))
% 190.77/190.68 [5510]~P112(x55102)+E(x55101,f2(x55102))+~P1(f836(f836(f277(x55102),f2(x55102)),x55101))
% 190.77/190.68 [5521]~P86(x55212)+E(x55211,f2(x55212))+P1(f836(f836(f225(x55212),f2(x55212)),f836(f70(x55212),x55211)))
% 190.77/190.68 [5585]~P111(x55851)+E(f76(x55851,x55852),f72(x55851))+~P1(f836(f836(f225(x55851),f2(x55851)),x55852))
% 190.77/190.68 [5591]~P94(x55911)+E(f836(f90(x55911),f836(f94(a899),x55912)),f2(x55911))+P1(f836(f836(f224(a1),f2(a1)),f836(f94(a1),x55912)))
% 190.77/190.68 [5602]~P86(x56021)+E(f836(f70(x56021),x56022),x56022)+~P1(f836(f836(f224(x56021),f2(x56021)),x56022))
% 190.77/190.68 [5603]~P86(x56031)+E(f836(f70(x56031),x56032),x56032)+~P1(f836(f836(f225(x56031),f2(x56031)),x56032))
% 190.77/190.68 [5612]E(x56121,f2(a899))+~E(f129(a899,f836(f292(a899,x56122),x56121)),f103(a899))+P1(f836(f836(f224(a899),x56121),x56122))
% 190.77/190.68 [5622]~P73(x56221)+E(f836(f836(f6(x56221,x56221),f5(x56221)),f836(f162(x56221),x56222)),f836(f155(x56221),x56222))+~P1(f836(f127(x56221),x56222))
% 190.77/190.68 [5625]~P128(x56251)+E(f836(f90(x56251),f836(a95,x56252)),f836(f93(x56251),x56252))+~P1(f836(f836(f224(a1),f2(a1)),x56252))
% 190.77/190.68 [5652]E(x56521,x56522)+P1(f836(f836(f225(a899),x56521),x56522))+~P1(f836(f836(f224(a899),x56521),x56522))
% 190.77/190.68 [5653]E(x56531,x56532)+P1(f836(f836(f225(a1),x56531),x56532))+~P1(f836(f836(f224(a1),x56531),x56532))
% 190.77/190.68 [5656]E(x56561,f72(a1))+~E(f836(f836(f75(a1),x56562),x56561),f72(a1))+~P1(f836(f836(f225(a1),f2(a1)),x56562))
% 190.77/190.68 [5657]E(x56571,f72(a1))+~E(f836(f836(f75(a1),x56571),x56572),f72(a1))+~P1(f836(f836(f225(a1),f2(a1)),x56571))
% 190.77/190.68 [5698]~P39(x56982)+P1(f836(f836(f224(a1),f2(a1)),x56981))+~P1(f836(f836(f318(a1),x56981),x56982))
% 190.77/190.68 [5717]~P57(x57171,x57172)+P36(x57171,x57172)+~P1(f836(f29(f905(x57171,x57171)),x57172))
% 190.77/190.68 [5719]~P57(x57191,x57192)+P43(x57191,x57192)+~P1(f836(f29(f905(x57191,x57191)),x57192))
% 190.77/190.68 [5761]E(x57611,f178(f906(x57612,a895)))+~P1(f836(f29(x57612),x57611))+P1(f836(f836(f225(a899),f2(a899)),f836(f30(x57612),x57611)))
% 190.77/190.68 [5788]~P1(f836(x57881,x57882))+P1(f836(x57881,f2(a899)))+P1(f836(f836(f225(a899),f377(x57882,x57881)),x57882))
% 190.77/190.68 [5811]E(x58111,f2(a899))+~E(f836(f155(a899),x58112),f2(a899))+~P1(f836(f836(f318(a899),x58111),f836(f162(a899),x58112)))
% 190.77/190.68 [5879]E(x58791,x58792)+~P1(f836(f836(f224(a899),x58792),x58791))+~P1(f836(f836(f224(a899),x58791),x58792))
% 190.77/190.68 [5880]E(x58801,x58802)+~P1(f836(f836(f224(a1),x58802),x58801))+~P1(f836(f836(f224(a1),x58801),x58802))
% 190.77/190.68 [5889]E(x58891,x58892)+~P1(f836(f836(f277(a899),x58892),x58891))+~P1(f836(f836(f277(a899),x58891),x58892))
% 190.77/190.68 [5891]E(f836(f30(x58911),x58912),f2(a899))+~P1(f836(f29(x58911),x58912))+P1(f836(f836(f318(x58911),f488(x58912,x58911)),x58912))
% 190.77/190.68 [5900]E(f46(x59001,x59002),f42(x59001,x59002))+P1(f836(f836(f224(a1),f2(a1)),x59001))+~P1(f836(f836(f225(a1),f2(a1)),x59002))
% 190.77/190.68 [5926]~P1(f836(x59261,f785(x59261)))+P1(f836(x59261,f836(a95,x59262)))+~P1(f836(f836(f224(a1),f2(a1)),x59262))
% 190.77/190.68 [5929]P1(f836(f836(f224(a899),x59291),f718(x59292)))+~P1(f836(f29(a899),x59292))+~P1(f836(f836(f318(a899),x59291),x59292))
% 190.77/190.68 [5930]P1(f836(f836(f225(a899),x59301),f735(x59302)))+~P1(f836(f29(a899),x59302))+~P1(f836(f836(f318(a899),x59301),x59302))
% 190.77/190.68 [5961]E(x59611,x59612)+~P1(f836(f836(f225(a899),x59611),f836(a102,x59612)))+P1(f836(f836(f225(a899),x59611),x59612))
% 190.77/190.68 [5998]E(x59981,f836(a102,x59982))+~P1(f836(f836(f224(a899),x59981),f836(a102,x59982)))+P1(f836(f836(f224(a899),x59981),x59982))
% 190.77/190.68 [6014]P1(f836(x60141,f774(x60141)))+~P1(f836(x60141,f836(a95,x60142)))+~P1(f836(f836(f224(a1),f2(a1)),x60142))
% 190.77/190.68 [6030]~P1(f836(x60301,x60302))+~P1(f836(f836(f224(a1),f2(a1)),x60302))+P1(f836(x60301,f836(f90(a1),f577(x60301))))
% 190.77/190.68 [6041]~P86(x60412)+~E(x60411,f2(x60412))+~P1(f836(f836(f225(x60412),f2(x60412)),f836(f70(x60412),x60411)))
% 190.77/190.68 [6066]~P57(x60661,x60662)+P36(x60661,f836(f276(x60661,x60661),x60662))+~P1(f836(f29(f905(x60661,x60661)),x60662))
% 190.77/190.68 [6075]~P94(x60751)+E(f836(f90(x60751),f836(f94(a899),x60752)),f836(f94(x60751),x60752))+~P1(f836(f836(f224(a1),f2(a1)),f836(f94(a1),x60752)))
% 190.77/190.68 [6078]E(f836(a102,x60781),x60782)+~P1(f836(f836(f225(a899),x60781),x60782))+P1(f836(f836(f225(a899),f836(a102,x60781)),x60782))
% 190.77/190.68 [6094]E(f836(f836(f31(a1),x60941),x60942),f2(a1))+~P1(f836(f836(f224(a1),x60941),f2(a1)))+~P1(f836(f836(f225(a1),x60942),x60941))
% 190.77/190.68 [6106]E(f41(a1,x61061,x61062),x61061)+~P1(f836(f836(f224(a1),x61061),f2(a1)))+~P1(f836(f836(f225(a1),x61062),x61061))
% 190.77/190.68 [6120]E(f43(x61201,x61202),f42(x61201,x61202))+~P1(f836(f836(f224(a1),f2(a1)),x61201))+~P1(f836(f836(f224(a1),f2(a1)),x61202))
% 190.77/190.68 [6130]E(f836(f836(f31(a1),x61301),x61302),f2(a1))+~P1(f836(f836(f224(a1),f2(a1)),x61301))+~P1(f836(f836(f225(a1),x61301),x61302))
% 190.77/190.68 [6141]E(f41(a899,f836(f94(a899),x61411),f836(f94(a899),x61412)),f836(f94(a899),x61411))+P1(f836(a183,f836(f94(a1),x61411)))+~P1(f836(a183,f836(f94(a1),x61412)))
% 190.77/190.68 [6143]E(f41(a1,x61431,x61432),x61431)+~P1(f836(f836(f224(a1),f2(a1)),x61431))+~P1(f836(f836(f225(a1),x61431),x61432))
% 190.77/190.68 [6144]E(x61441,x61442)+~P1(f836(f836(f225(a899),x61441),f836(a102,x61442)))+~P1(f836(f836(f224(a899),x61442),x61441))
% 190.77/190.68 [6158]~P77(x61581)+~P1(f836(f836(f224(x61581),x61582),f2(x61581)))+P1(f836(f836(f224(x61581),x61582),f836(f73(x61581),x61582)))
% 190.77/190.68 [6159]~P111(x61591)+~P1(f836(f836(f225(x61591),x61592),f2(x61591)))+P1(f836(f836(f225(x61591),x61592),f836(f73(x61591),x61592)))
% 190.77/190.68 [6168]~P5(x61681)+E(f836(f836(f59(x61681,x61681,f92(x61681)),f232(x61681)),x61682),f33(x61681,x61682))+~P1(f836(f29(x61681),x61682))
% 190.77/190.68 [6169]~P5(x61691)+E(f836(f836(f59(x61691,x61691,f91(x61691)),f178(x61691)),x61692),f32(x61691,x61692))+~P1(f836(f29(x61691),x61692))
% 190.77/190.68 [6186]~P111(x61861)+~P1(f836(f836(f224(a1),f2(a1)),x61862))+P1(f836(f836(f224(x61861),f2(x61861)),f836(f93(x61861),x61862)))
% 190.77/190.68 [6187]~P110(x61871)+~P1(f836(f836(f225(a899),f2(a899)),x61872))+P1(f836(f836(f225(x61871),f2(x61871)),f836(f90(x61871),x61872)))
% 190.77/190.68 [6188]~P111(x61881)+~P1(f836(f836(f225(a1),f2(a1)),x61882))+P1(f836(f836(f225(x61881),f2(x61881)),f836(f93(x61881),x61882)))
% 190.77/190.68 [6191]~P6(x61912)+~P6(x61911)+E(f836(f300(a899,a1,f90(a1)),f293(a899,f836(a95,x61911),f836(a95,x61912))),f293(a1,x61911,x61912))
% 190.77/190.68 [6197]P1(f836(x61971,x61972))+~P1(f836(f836(f224(a1),f2(a1)),x61972))+~P1(f836(x61971,f836(f90(a1),f578(x61971))))
% 190.77/190.68 [6229]E(f836(f836(f74(a899),f836(f94(a899),x62291)),f836(f94(a899),x62292)),f836(f94(a899),x62291))+P1(f836(f836(f225(a1),x62291),a77))+~P1(f836(f836(f225(a1),x62292),a77))
% 190.77/190.68 [6233]~P111(x62331)+P1(f836(f836(f225(x62331),f2(x62331)),f76(x62331,x62332)))+~P1(f836(f836(f225(x62331),f2(x62331)),x62332))
% 190.77/190.68 [6247]~P65(x62471)+~P1(f836(f836(f224(x62471),x62472),f2(x62471)))+P1(f836(f836(f224(x62471),f2(x62471)),f836(f73(x62471),x62472)))
% 190.77/190.68 [6248]~P65(x62481)+~P1(f836(f836(f225(x62481),x62482),f2(x62481)))+P1(f836(f836(f225(x62481),f2(x62481)),f836(f73(x62481),x62482)))
% 190.77/190.68 [6251]E(x62511,f232(f906(x62512,a895)))+~E(f836(f30(x62512),x62511),f836(f30(x62512),f232(f906(x62512,a895))))+~P1(f836(f29(x62512),f232(f906(x62512,a895))))
% 190.77/190.68 [6277]~P1(f836(f836(f225(a899),f2(a899)),x62772))+~P1(f836(f836(f277(a899),x62771),x62772))+P1(f836(f836(f224(a899),x62771),x62772))
% 190.77/190.68 [6284]~P77(x62841)+P1(f836(f836(f224(x62841),x62842),f2(x62841)))+~P1(f836(f836(f224(x62841),x62842),f836(f73(x62841),x62842)))
% 190.77/190.68 [6285]~P111(x62851)+P1(f836(f836(f225(x62851),x62852),f2(x62851)))+~P1(f836(f836(f225(x62851),x62852),f836(f73(x62851),x62852)))
% 190.77/190.68 [6294]~P94(x62941)+P1(f836(f836(f318(x62941),f836(f94(x62941),x62942)),f176(x62941)))+~P1(f836(f836(f224(a1),a77),x62942))
% 190.77/190.68 [6323]E(x63231,f2(a899))+~P1(f836(f836(f225(a899),x63231),f836(a102,x63232)))+P1(f836(f836(f225(a899),f433(x63232,x63231)),x63232))
% 190.77/190.68 [6326]~P149(x63262)+P150(x63261,f836(f836(f299(a894),f909(x63262)),f178(f906(a894,a895))))+P1(f836(f836(f318(a897),f536(x63261,x63262)),a907))
% 190.77/190.68 [6348]~P111(x63481)+~P1(f836(f836(f225(x63481),f2(x63481)),f76(x63481,x63482)))+P1(f836(f836(f225(x63481),f2(x63481)),x63482))
% 190.77/190.68 [6350]~E(f836(f94(a899),x63502),f836(f94(a899),x63501))+P1(f836(f836(f224(a1),f836(f94(a1),x63501)),f2(a1)))+~P1(f836(a183,f836(f94(a1),x63502)))
% 190.77/190.68 [6380]E(f836(f241(a1,a1),f46(x63801,x63802)),f836(f836(f31(a1),x63801),x63802))+~P1(f836(f836(f225(a1),x63801),f2(a1)))+~P1(f836(f836(f225(a1),f2(a1)),x63802))
% 190.77/190.68 [6420]E(f836(f246(a1,a1),f46(x64201,x64202)),f41(a1,x64201,x64202))+~P1(f836(f836(f225(a1),x64201),f2(a1)))+~P1(f836(f836(f225(a1),f2(a1)),x64202))
% 190.77/190.68 [6422]E(x64221,f2(a1))+~P1(f836(f836(f277(a1),x64222),x64221))+P1(f836(f836(f224(a1),f836(f70(a1),x64222)),f836(f70(a1),x64221)))
% 190.77/190.68 [6424]~P111(x64242)+~P1(f836(f836(f224(x64242),f2(x64242)),f836(f93(x64242),x64241)))+P1(f836(f836(f224(a1),f2(a1)),x64241))
% 190.77/190.68 [6425]~P110(x64252)+~P1(f836(f836(f225(x64252),f2(x64252)),f836(f90(x64252),x64251)))+P1(f836(f836(f225(a899),f2(a899)),x64251))
% 190.77/190.68 [6426]~P111(x64262)+~P1(f836(f836(f225(x64262),f2(x64262)),f836(f93(x64262),x64261)))+P1(f836(f836(f225(a1),f2(a1)),x64261))
% 190.77/190.68 [6429]E(f836(f241(a1,a1),f43(x64291,x64292)),f836(f836(f31(a1),x64291),x64292))+~P1(f836(f836(f224(a1),f2(a1)),x64292))+~P1(f836(f836(f225(a1),f2(a1)),x64291))
% 190.77/190.68 [6443]E(f836(f246(a1,a1),f43(x64431,x64432)),f41(a1,x64431,x64432))+~P1(f836(f836(f224(a1),f2(a1)),x64432))+~P1(f836(f836(f225(a1),f2(a1)),x64431))
% 190.77/190.68 [6459]~P65(x64591)+P1(f836(f836(f224(x64591),x64592),f2(x64591)))+~P1(f836(f836(f224(x64591),f2(x64591)),f836(f73(x64591),x64592)))
% 190.77/190.68 [6460]~P65(x64601)+P1(f836(f836(f225(x64601),x64602),f2(x64601)))+~P1(f836(f836(f225(x64601),f2(x64601)),f836(f73(x64601),x64602)))
% 190.77/190.68 [6486]P1(f836(f45(x64861,x64862),f46(x64861,x64862)))+~P1(f836(f836(f225(a1),x64861),f2(a1)))+~P1(f836(f836(f225(a1),f2(a1)),x64862))
% 190.77/190.68 [6500]~P1(f836(f836(f225(a899),f2(a899)),x65001))+~P1(f836(f836(f277(a899),x65002),x65001))+~P1(f836(f836(f225(a899),x65001),x65002))
% 190.77/190.68 [6513]P1(f836(f45(x65131,x65132),f43(x65131,x65132)))+~P1(f836(f836(f224(a1),f2(a1)),x65131))+~P1(f836(f836(f225(a1),f2(a1)),x65132))
% 190.77/190.68 [6557]~P65(x65571)+P1(f836(f836(f224(x65571),f836(f73(x65571),x65572)),f2(x65571)))+~P1(f836(f836(f224(x65571),f2(x65571)),x65572))
% 190.77/190.68 [6558]~P65(x65581)+P1(f836(f836(f225(x65581),f836(f73(x65581),x65582)),f2(x65581)))+~P1(f836(f836(f225(x65581),f2(x65581)),x65582))
% 190.77/190.68 [6579]E(f836(f836(f23(a899),f836(a95,x65791)),f836(a95,x65792)),f836(a95,f184(x65791,x65792)))+~P1(f836(f836(f224(a1),f2(a1)),x65792))+~P1(f836(f836(f224(a1),f2(a1)),x65791))
% 190.77/190.68 [6597]P1(f836(f836(f224(a1),f2(a1)),f184(x65971,x65972)))+~P1(f836(f836(f224(a1),f2(a1)),x65972))+~P1(f836(f836(f224(a1),f2(a1)),x65971))
% 190.77/190.68 [6634]~P1(f836(x66341,x66342))+P1(f836(x66341,f2(a899)))+P1(f836(x66341,f836(f836(f74(a899),f377(x66342,x66341)),f72(a899))))
% 190.77/190.68 [6719]E(f836(f94(a899),x67191),f836(f94(a899),x67192))+~P1(f836(f836(f224(a1),f836(f94(a1),x67192)),f2(a1)))+~P1(f836(a183,f836(f94(a1),x67191)))
% 190.77/190.68 [6733]~E(x67331,f2(a899))+~E(f651(x67332,x67331),f2(a899))+E(f836(f132(a899,a899,f74(a899),x67331),x67332),f2(a899))
% 190.77/190.68 [6757]~P1(f836(f29(x67571),f589(x67572,x67571)))+~P1(f836(f29(f906(x67571,a895)),x67572))+P1(f836(f29(x67571),f32(f906(x67571,a895),x67572)))
% 190.77/190.68 [6763]E(x67631,x67632)+P1(f836(f836(f225(a1),x67631),x67632))+~P1(f836(f836(f225(a1),x67631),f836(f836(f74(a1),x67632),f72(a1))))
% 190.77/190.68 [6764]P1(f836(f836(f224(a899),f836(a95,x67641)),f836(a95,x67642)))+~P1(f836(f836(f224(a1),f2(a1)),x67642))+~P1(f836(f836(f224(a1),x67641),x67642))
% 190.77/190.68 [6765]P1(f836(f836(f224(a899),f836(a95,x67651)),f836(a95,x67652)))+~P1(f836(f836(f225(a1),f2(a1)),x67651))+~P1(f836(f836(f224(a1),x67651),x67652))
% 190.77/190.68 [6767]P1(f836(f836(f225(a899),f836(a95,x67671)),f836(a95,x67672)))+~P1(f836(f836(f224(a1),f2(a1)),x67671))+~P1(f836(f836(f225(a1),x67671),x67672))
% 190.77/190.68 [6768]P1(f836(f836(f225(a899),f836(a95,x67681)),f836(a95,x67682)))+~P1(f836(f836(f225(a1),f2(a1)),x67682))+~P1(f836(f836(f225(a1),x67681),x67682))
% 190.77/190.68 [6779]E(f41(a899,f836(a95,x67791),f836(a95,x67792)),f836(a95,f41(a1,x67791,x67792)))+~P1(f836(f836(f224(a1),f2(a1)),x67792))+~P1(f836(f836(f224(a1),f2(a1)),x67791))
% 190.77/190.68 [6803]~P65(x68031)+~P1(f836(f836(f224(x68031),f836(f73(x68031),x68032)),f2(x68031)))+P1(f836(f836(f224(x68031),f2(x68031)),x68032))
% 190.77/190.68 [6804]~P65(x68041)+~P1(f836(f836(f225(x68041),f836(f73(x68041),x68042)),f2(x68041)))+P1(f836(f836(f225(x68041),f2(x68041)),x68042))
% 190.77/190.68 [6820]~P1(f836(f836(f225(a1),a77),x68202))+~P1(f836(f836(f225(a1),x68201),x68202))+P1(f836(f836(f225(a899),f836(f94(a899),x68201)),f836(f94(a899),x68202)))
% 190.77/190.68 [6914]~P1(f836(f836(f224(a1),f2(a1)),x69141))+P1(f836(f836(f225(a899),f836(a95,x69141)),x69142))+~P1(f836(f836(f225(a1),x69141),f836(f90(a1),x69142)))
% 190.77/190.68 [6919]P1(f836(x69191,x69192))+~P1(f836(x69191,f836(a20,f793(x69191,x69192))))+~P1(f836(f836(f318(a899),x69192),f232(f906(a899,a895))))
% 190.77/190.68 [6930]E(x69301,f2(a1))+E(f41(a1,x69302,x69301),f2(a1))+E(f836(f836(f23(a1),f836(f73(a1),f836(f836(f31(a1),x69302),x69301))),f72(a1)),f836(f836(f31(a1),x69302),f836(f73(a1),x69301)))
% 190.77/190.68 [6944]~P1(f836(f836(f224(a1),f2(a1)),x69441))+~P1(f836(f836(f225(a899),f836(a95,x69441)),x69442))+P1(f836(f836(f225(a1),x69441),f836(f90(a1),x69442)))
% 190.77/190.68 [6980]~P1(f836(f836(f224(a899),f836(a95,x69801)),f836(a95,x69802)))+~P1(f836(f836(f224(a1),f2(a1)),x69802))+P1(f836(f836(f224(a1),x69801),x69802))
% 190.77/190.68 [6981]~P1(f836(f836(f224(a899),f836(a95,x69811)),f836(a95,x69812)))+~P1(f836(f836(f225(a1),f2(a1)),x69811))+P1(f836(f836(f224(a1),x69811),x69812))
% 190.77/190.68 [7013]P1(f836(f836(f224(a1),x70131),x70132))+~P1(f836(f836(f224(a899),f836(f94(a899),x70131)),f836(f94(a899),x70132)))+P1(f836(f836(f224(a1),x70131),a77))
% 190.77/190.68 [7039]P1(f836(f836(f224(a1),f2(a1)),f41(a1,x70391,x70392)))+~P1(f836(f836(f224(a1),f2(a1)),x70392))+~P1(f836(f836(f224(a1),f2(a1)),x70391))
% 190.77/190.68 [7137]P1(f836(f836(f225(a1),a77),x71371))+~P1(f836(f836(f225(a1),x71372),x71371))+~P1(f836(f836(f225(a899),f836(f94(a899),x71372)),f836(f94(a899),x71371)))
% 190.77/190.68 [7191]E(f836(f836(f242(a1,a1),f836(f836(f31(a1),x71911),x71912)),f41(a1,x71911,x71912)),f46(x71911,x71912))+~P1(f836(f836(f225(a1),x71911),f2(a1)))+~P1(f836(f836(f225(a1),f2(a1)),x71912))
% 190.77/190.68 [7211]E(f836(f836(f242(a1,a1),f836(f836(f31(a1),x72111),x72112)),f41(a1,x72111,x72112)),f43(x72111,x72112))+~P1(f836(f836(f224(a1),f2(a1)),x72112))+~P1(f836(f836(f224(a1),f2(a1)),x72111))
% 190.77/190.68 [7265]~P97(x72652)+E(x72651,f103(x72652))+E(f836(f132(x72652,x72652,f75(x72652),f836(f131(x72652),x72651)),f836(f161(x72652),x72651)),f836(f58(x72652,f75(x72652)),f836(f162(x72652),x72651)))
% 190.77/190.68 [7380]~E(x73801,f2(a899))+E(f836(f132(a899,a899,f74(a899),x73801),x73802),f2(a899))+P1(f836(f836(f318(a899),f651(x73802,x73801)),f836(f162(a899),x73802)))
% 190.77/190.68 [7433]~P1(f836(f836(f224(a1),x74331),f2(a1)))+P1(f836(f836(f224(a1),f836(f836(f31(a1),x74331),x74332)),f2(a1)))+~P1(f836(f836(f225(a1),f2(a1)),x74332))
% 190.77/190.68 [7434]~P1(f836(f836(f225(a1),x74342),f2(a1)))+P1(f836(f836(f224(a1),f836(f836(f31(a1),x74341),x74342)),f2(a1)))+~P1(f836(f836(f224(a1),f2(a1)),x74341))
% 190.77/190.68 [7435]~P1(f836(f836(f225(a1),x74352),f2(a1)))+P1(f836(f836(f225(a1),f836(f836(f31(a1),x74351),x74352)),f2(a1)))+~P1(f836(f836(f225(a1),f2(a1)),x74351))
% 190.77/190.68 [7437]~P1(f836(f836(f225(a1),x74371),f2(a1)))+P1(f836(f836(f225(a1),f836(f836(f31(a1),x74371),x74372)),f2(a1)))+~P1(f836(f836(f225(a1),f2(a1)),x74372))
% 190.77/190.68 [7444]P1(f836(f836(f318(f906(x74441,a895)),f589(x74442,x74441)),x74442))+~P1(f836(f29(f906(x74441,a895)),x74442))+P1(f836(f29(x74441),f32(f906(x74441,a895),x74442)))
% 190.77/190.68 [7534]P24(x75341,x75341,x75342,f232(f906(x75341,a895)))+~E(f836(f300(x75341,x75341,x75342),f232(f906(x75341,a895))),f232(f906(x75341,a895)))+~P1(f836(f29(x75341),f232(f906(x75341,a895))))
% 190.77/190.68 [7656]~P24(x76561,x76561,x76562,f232(f906(x76561,a895)))+E(f836(f300(x76561,x76561,x76562),f232(f906(x76561,a895))),f232(f906(x76561,a895)))+~P1(f836(f29(x76561),f232(f906(x76561,a895))))
% 190.77/190.68 [7796]E(f836(f836(f31(a1),x77961),x77962),f836(f94(a1),a87))+~P1(f836(f836(f224(a1),f836(f836(f74(a1),x77961),x77962)),f2(a1)))+~P1(f836(f836(f225(a1),f2(a1)),x77961))
% 190.77/190.68 [7853]~P1(f836(f836(f225(a1),x78532),f2(a1)))+~P1(f836(f836(f225(a1),f836(f836(f31(a1),x78531),x78532)),f2(a1)))+P1(f836(f836(f225(a1),f2(a1)),x78531))
% 190.77/190.68 [7858]E(f836(f836(f74(a1),x78581),x78582),f41(a1,x78581,x78582))+~P1(f836(f836(f224(a1),f836(f836(f74(a1),x78581),x78582)),f2(a1)))+~P1(f836(f836(f225(a1),f2(a1)),x78581))
% 190.77/190.68 [7861]P1(f836(f836(f225(a1),x78611),f2(a1)))+~P1(f836(f836(f225(a1),f836(f836(f31(a1),x78611),x78612)),f2(a1)))+~P1(f836(f836(f225(a1),f2(a1)),x78612))
% 190.77/190.68 [7877]~P149(x78772)+P150(x78771,f836(f836(f299(a894),f909(x78772)),f178(f906(a894,a895))))+~P150(x78771,f836(f836(f299(a894),f836(a908,f536(x78771,x78772))),f178(f906(a894,a895))))
% 190.77/190.68 [8558]~P108(x85581)+P13(x85581,x85582)+~P1(f836(f836(f224(x85581),f836(f836(f154(x85581),x85582),f685(x85582,x85581))),f836(f836(f154(x85581),x85582),f686(x85582,x85581))))
% 190.77/190.68 [8559]~P108(x85591)+P13(x85591,x85592)+~P1(f836(f836(f224(x85591),f836(f836(f154(x85591),x85592),f693(x85592,x85591))),f836(f836(f154(x85591),x85592),f697(x85592,x85591))))
% 190.77/190.68 [5754]E(x57541,f2(a1))+~E(f41(a1,x57542,x57541),f2(a1))+E(f836(f836(f31(a1),x57542),f836(f73(a1),x57541)),f836(f73(a1),f836(f836(f31(a1),x57542),x57541)))
% 190.77/190.68 [5772]~P39(x57722)+~P39(x57721)+P39(f836(f836(f91(f906(a1,a895)),x57721),x57722))
% 190.77/190.68 [5773]~P39(x57732)+~P39(x57731)+P39(f836(f836(f92(f906(a1,a895)),x57731),x57732))
% 190.77/190.68 [5791]~P94(x57911)+~P61(x57911)+E(f836(f73(x57911),f836(f836(f281(x57911),f72(x57911)),x57912)),f836(f836(f281(x57911),f836(f94(x57911),a87)),x57912))
% 190.77/190.68 [5918]E(x59181,f2(a1))+~E(f41(a1,x59182,x59181),f2(a1))+E(f836(f836(f31(a1),f836(f73(a1),x59182)),x59181),f836(f73(a1),f836(f836(f31(a1),x59182),x59181)))
% 190.77/190.68 [6060]~P108(x60601)+P13(x60601,x60602)+P1(f836(f836(f225(a899),f686(x60602,x60601)),f836(f179(f900(x60601)),x60602)))
% 190.77/190.68 [6061]~P108(x60611)+P13(x60611,x60612)+P1(f836(f836(f225(a899),f697(x60612,x60611)),f836(f179(f900(x60611)),x60612)))
% 190.77/190.68 [6223]~P94(x62231)+~E(f836(f94(x62231),x62232),f2(x62231))+P27(x62231,f836(f94(x62231),f836(f836(f74(a1),x62232),f836(f73(a1),a77))))
% 190.77/190.68 [6224]~P94(x62241)+~E(f836(f94(x62241),x62242),f2(x62241))+P27(x62241,f836(f94(x62241),f836(f836(f74(a1),a77),f836(f73(a1),x62242))))
% 190.77/190.68 [6226]E(f836(a47,f43(f836(f73(a1),x62261),f836(f73(a1),x62262))),f42(x62261,x62262))+P1(f836(f836(f224(a1),f2(a1)),x62261))+P1(f836(f836(f225(a1),f2(a1)),x62262))
% 190.77/190.68 [6356]~E(x63562,f2(a899))+~E(x63561,f2(a899))+P1(f836(f836(f224(a1),f836(f90(a1),x63561)),f836(f73(a1),f836(f90(a1),x63562))))
% 190.77/190.68 [6386]E(f836(f836(f74(a899),f836(f94(a899),x63861)),f836(f94(a899),x63862)),f836(f94(a899),f836(f836(f74(a1),x63861),x63862)))+P1(f836(f836(f225(a1),x63861),a77))+P1(f836(f836(f225(a1),x63862),a77))
% 190.77/190.68 [6522]~P77(x65221)+~P1(f836(f836(f224(x65221),f2(x65221)),x65222))+P1(f836(f836(f224(x65221),f836(f73(x65221),x65222)),x65222))
% 190.77/190.68 [6523]~P77(x65231)+~P1(f836(f836(f225(x65231),f2(x65231)),x65232))+P1(f836(f836(f225(x65231),f836(f73(x65231),x65232)),x65232))
% 190.77/190.68 [6705]E(f836(f836(f23(a899),f836(a95,x67051)),f836(a95,x67052)),f836(a95,f836(f836(f23(a1),x67051),x67052)))+~P1(f836(f836(f224(a1),f2(a1)),x67052))+~P1(f836(f836(f224(a1),x67052),x67051))
% 190.77/190.68 [6741]E(f836(a95,f41(a1,f836(f94(a1),x67411),f836(f94(a1),x67412))),f41(a899,f836(f94(a899),x67411),f836(f94(a899),x67412)))+P1(f836(a183,f836(f94(a1),x67411)))+P1(f836(a183,f836(f94(a1),x67412)))
% 190.77/190.68 [6758]~P77(x67581)+P1(f836(f836(f224(x67581),f2(x67581)),x67582))+~P1(f836(f836(f224(x67581),f836(f73(x67581),x67582)),x67582))
% 190.77/190.68 [6759]~P77(x67591)+P1(f836(f836(f225(x67591),f2(x67591)),x67592))+~P1(f836(f836(f225(x67591),f836(f73(x67591),x67592)),x67592))
% 190.77/190.68 [6770]~P77(x67701)+~P1(f836(f836(f224(x67701),f2(x67701)),x67702))+P1(f836(f836(f224(x67701),f2(x67701)),f836(f836(f74(x67701),x67702),x67702)))
% 190.77/190.68 [6773]~P77(x67731)+~P1(f836(f836(f225(x67731),f2(x67731)),x67732))+P1(f836(f836(f225(x67731),f2(x67731)),f836(f836(f74(x67731),x67732),x67732)))
% 190.77/190.68 [6784]E(f836(f836(f74(a899),f836(a95,x67841)),f836(a95,x67842)),f836(a95,f836(f836(f74(a1),x67841),x67842)))+~P1(f836(f836(f224(a1),f2(a1)),x67842))+~P1(f836(f836(f224(a1),f2(a1)),x67841))
% 190.77/190.68 [6796]E(x67961,f2(a899))+P1(f836(f836(f225(a899),f2(a899)),x67962))+~P1(f836(f836(f225(a899),f2(a899)),f836(f836(f234(a899),x67962),x67961)))
% 190.77/190.68 [6832]~P94(x68321)+E(f836(f94(x68321),x68322),f2(x68321))+~P27(x68321,f836(f94(x68321),f836(f836(f74(a1),a77),f836(f73(a1),x68322))))
% 190.77/190.68 [6833]~P94(x68331)+E(f836(f94(x68331),x68332),f2(x68331))+~P27(x68331,f836(f94(x68331),f836(f836(f74(a1),x68332),f836(f73(a1),a77))))
% 190.77/190.68 [6892]~P1(f836(f29(x68921),x68922))+~P1(f836(f29(x68921),f232(f906(x68921,a895))))+P1(f836(f29(x68921),f836(f73(f906(x68921,a895)),x68922)))
% 190.77/190.68 [6915]~P1(f836(f836(f225(a1),f2(a1)),x69152))+~P1(f836(f836(f224(a1),x69152),x69151))+P1(f836(f836(f225(a1),f2(a1)),f836(f836(f31(a1),x69151),x69152)))
% 190.77/190.68 [6916]~P1(f836(f836(f224(a1),x69161),f2(a1)))+~P1(f836(f836(f225(a1),x69162),f2(a1)))+P1(f836(f836(f224(a1),f2(a1)),f836(f836(f31(a1),x69161),x69162)))
% 190.77/190.68 [6954]~P1(f836(f836(f224(a1),f2(a1)),x69542))+~P1(f836(f836(f224(a1),f2(a1)),x69541))+P1(f836(f836(f224(a1),f2(a1)),f836(f836(f74(a1),x69541),x69542)))
% 190.77/190.68 [6955]~P1(f836(f836(f224(a1),f2(a1)),x69552))+~P1(f836(f836(f224(a1),f2(a1)),x69551))+P1(f836(f836(f224(a1),f2(a1)),f836(f836(f75(a1),x69551),x69552)))
% 190.77/190.68 [6956]~P1(f836(f836(f224(a1),f2(a1)),x69562))+~P1(f836(f836(f224(a1),f2(a1)),x69561))+P1(f836(f836(f224(a1),f2(a1)),f836(f836(f31(a1),x69561),x69562)))
% 190.77/190.68 [6957]~P1(f836(f836(f224(a1),f2(a1)),x69571))+~P1(f836(f836(f225(a1),f2(a1)),x69572))+P1(f836(f836(f224(a1),f2(a1)),f836(f836(f31(a1),x69571),x69572)))
% 190.77/190.68 [6958]~P1(f836(f836(f225(a899),f2(a899)),x69582))+~P1(f836(f836(f225(a899),f2(a899)),x69581))+P1(f836(f836(f225(a899),f2(a899)),f836(f836(f75(a899),x69581),x69582)))
% 190.77/190.68 [7026]E(x70261,f2(a1))+E(f41(a1,x70262,x70261),f2(a1))+E(f836(f836(f23(a1),f836(f73(a1),f836(f836(f31(a1),x70262),x70261))),f72(a1)),f836(f836(f31(a1),f836(f73(a1),x70262)),x70261))
% 190.77/190.68 [7083]P1(f836(f836(f225(a899),f2(a899)),x70831))+P1(f836(f836(f225(a899),f2(a899)),x70832))+~P1(f836(f836(f225(a899),f2(a899)),f836(f836(f74(a899),x70832),x70831)))
% 190.77/190.68 [7087]~P77(x70871)+P1(f836(f836(f224(x70871),f2(x70871)),x70872))+~P1(f836(f836(f224(x70871),f2(x70871)),f836(f836(f74(x70871),x70872),x70872)))
% 190.77/190.68 [7088]~P77(x70881)+P1(f836(f836(f225(x70881),f2(x70881)),x70882))+~P1(f836(f836(f225(x70881),f2(x70881)),f836(f836(f74(x70881),x70882),x70882)))
% 190.77/190.68 [7138]~P1(f836(f29(x71381),x71382))+P1(f836(f29(x71381),f232(f906(x71381,a895))))+~P1(f836(f29(x71381),f836(f73(f906(x71381,a895)),x71382)))
% 190.77/190.68 [7203]P1(f836(f836(f224(a1),x72031),f2(a1)))+~P1(f836(f836(f225(a1),x72032),f2(a1)))+~P1(f836(f836(f224(a1),f2(a1)),f836(f836(f31(a1),x72031),x72032)))
% 190.77/190.68 [7209]~P1(f836(f836(f225(a1),f2(a1)),x72091))+P1(f836(f836(f224(a1),x72091),x72092))+~P1(f836(f836(f225(a1),f2(a1)),f836(f836(f31(a1),x72092),x72091)))
% 190.77/190.68 [7210]~P1(f836(f836(f224(a1),f2(a1)),x72102))+P1(f836(f836(f224(a1),x72101),x72102))+~P1(f836(f836(f225(a1),f2(a1)),f836(f836(f31(a1),x72102),x72101)))
% 190.77/190.68 [7240]P1(f836(f836(f224(a1),f2(a1)),x72401))+~P1(f836(f836(f225(a1),f2(a1)),x72402))+~P1(f836(f836(f224(a1),f2(a1)),f836(f836(f31(a1),x72401),x72402)))
% 190.77/190.68 [7241]P1(f836(f836(f225(a1),f2(a1)),x72411))+~P1(f836(f836(f224(a1),f2(a1)),x72412))+~P1(f836(f836(f225(a1),f2(a1)),f836(f836(f31(a1),x72412),x72411)))
% 190.77/190.68 [7687]~P1(f836(f29(x76872),f232(f906(x76872,a895))))+~P1(f836(f29(x76871),f232(f906(x76871,a895))))+P1(f836(f29(f904(x76871,x76872)),f232(f906(f904(x76871,x76872),a895))))
% 190.77/190.68 [7688]~P1(f836(f29(x76882),f232(f906(x76882,a895))))+~P1(f836(f29(x76881),f232(f906(x76881,a895))))+P1(f836(f29(f905(x76881,x76882)),f232(f906(f905(x76881,x76882),a895))))
% 190.77/190.68 [7760]~P1(f836(f836(f225(a899),f836(a102,f2(a899))),x77601))+~P1(f836(f836(f225(a899),f836(a102,f2(a899))),x77602))+P1(f836(f836(f225(a899),x77601),f836(f836(f75(a899),x77602),x77601)))
% 190.77/190.68 [7761]~P1(f836(f836(f225(a899),f836(a102,f2(a899))),x77611))+~P1(f836(f836(f225(a899),f836(a102,f2(a899))),x77612))+P1(f836(f836(f225(a899),x77611),f836(f836(f75(a899),x77611),x77612)))
% 190.77/190.68 [7795]E(f836(f30(x77951),f232(f906(x77951,a895))),f836(a102,f2(a899)))+P1(f836(f29(x77952),f232(f906(x77952,a895))))+~P1(f836(f29(f906(x77952,x77951)),f232(f906(f906(x77952,x77951),a895))))
% 190.77/190.68 [7923]~P1(f836(f836(f224(a899),f836(a102,f2(a899))),x79231))+~P1(f836(f836(f224(a899),f836(a102,f2(a899))),x79232))+P1(f836(f836(f224(a899),f836(a102,f2(a899))),f836(f836(f75(a899),x79231),x79232)))
% 190.77/190.68 [7924]~P1(f836(f836(f225(a899),f836(a102,f2(a899))),x79242))+~P1(f836(f836(f225(a899),f836(a102,f2(a899))),x79241))+P1(f836(f836(f225(a899),f836(a102,f2(a899))),f836(f836(f75(a899),x79241),x79242)))
% 190.77/190.68 [8605]E(x86051,f103(x86052))+~P1(f836(f127(x86052),x86051))+E(f167(x86052,f836(f836(f8(a895,a895,x86052),a312),f836(f836(f7(x86052,x86052,a895),a314),f134(x86052,x86051))),x86051),f104(x86052,x86051))
% 190.77/190.68 [8700]~P39(x87002)+~P39(x87001)+E(f836(f300(a899,a1,f90(a1)),f836(f836(f91(f906(a899,a895)),f836(f300(a1,a899,a95),x87001)),f836(f300(a1,a899,a95),x87002))),f836(f836(f91(f906(a1,a895)),x87001),x87002))
% 190.77/190.68 [8701]~P39(x87012)+~P39(x87011)+E(f836(f300(a899,a1,f90(a1)),f836(f836(f92(f906(a899,a895)),f836(f300(a1,a899,a95),x87011)),f836(f300(a1,a899,a95),x87012))),f836(f836(f92(f906(a1,a895)),x87011),x87012))
% 190.77/190.68 [9368]~P94(x93681)+~E(f836(f94(x93681),x93682),f72(x93681))+P27(x93681,f836(f94(x93681),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f73(a1),x93682))))
% 190.77/190.68 [9621]~P94(x96211)+E(f836(f94(x96211),x96212),f72(x96211))+~P27(x96211,f836(f94(x96211),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f73(a1),x96212))))
% 190.77/190.68 [10378]E(x103781,f2(a1))+E(x103782,f2(a1))+E(f836(f248(a1,a1,a1,a1,f25(a1),f836(f75(a1),f76(a1,x103782))),f836(f836(f836(f86(f905(a1,a1)),f836(f836(a314,f76(a1,x103781)),f76(a1,x103782))),f49(x103781,x103782)),f836(f836(f247(a1,a1,f905(a1,a1)),f836(f836(f18(a1,f906(a1,f905(a1,a1)),f906(a1,f905(a1,a1))),f836(f836(f8(f906(a1,f906(f905(a1,a1),f905(a1,a1))),f906(f906(a1,f905(a1,a1)),f906(a1,f905(a1,a1))),a1),f18(a1,f905(a1,a1),f905(a1,a1))),f836(f836(f8(f905(a1,a1),f906(a1,f906(f905(a1,a1),f905(a1,a1))),a1),f836(f7(a1,f905(a1,a1),f906(f905(a1,a1),f905(a1,a1))),f836(f836(f8(a895,f906(f905(a1,a1),f906(f905(a1,a1),f905(a1,a1))),a1),f86(f905(a1,a1))),f836(f836(f7(a1,a1,a895),a314),f2(a1))))),f836(f836(f7(a1,a1,f905(a1,a1)),f836(f836(f8(a1,f906(a1,f905(a1,a1)),a1),f242(a1,a1)),f73(a1))),f2(a1))))),f836(f836(f7(a1,f906(a1,a1),f906(a1,f905(a1,a1))),f836(f836(f8(f906(a1,f905(a1,a1)),f906(f906(a1,a1),f906(a1,f905(a1,a1))),a1),f8(a1,f905(a1,a1),a1)),f836(f836(f8(a1,f906(a1,f905(a1,a1)),a1),f242(a1,a1)),f836(f836(f7(a1,a1,a1),f836(f836(f8(a1,f906(a1,a1),a1),f23(a1)),f73(a1))),f72(a1))))),f836(f23(a1),f836(f70(a1),x103782))))),f49(x103781,x103782)))),f42(x103781,x103782))
% 190.77/190.68 [10379]E(x103791,f2(a1))+E(x103792,f2(a1))+E(f836(f248(a1,a1,a1,a1,f25(a1),f836(f75(a1),f76(a1,x103792))),f836(f836(f836(f86(f905(a1,a1)),f836(f836(a316,f836(f836(a315,f836(f836(f225(a1),f2(a1)),x103792)),f836(f836(f224(a1),f2(a1)),x103791))),f836(f836(a315,f836(f836(f225(a1),x103792),f2(a1))),f836(f836(f225(a1),x103791),f2(a1))))),f49(x103791,x103792)),f836(f836(f247(a1,a1,f905(a1,a1)),f836(f836(f18(a1,f906(a1,f905(a1,a1)),f906(a1,f905(a1,a1))),f836(f836(f8(f906(a1,f906(f905(a1,a1),f905(a1,a1))),f906(f906(a1,f905(a1,a1)),f906(a1,f905(a1,a1))),a1),f18(a1,f905(a1,a1),f905(a1,a1))),f836(f836(f8(f905(a1,a1),f906(a1,f906(f905(a1,a1),f905(a1,a1))),a1),f836(f7(a1,f905(a1,a1),f906(f905(a1,a1),f905(a1,a1))),f836(f836(f8(a895,f906(f905(a1,a1),f906(f905(a1,a1),f905(a1,a1))),a1),f86(f905(a1,a1))),f836(f836(f7(a1,a1,a895),a314),f2(a1))))),f836(f836(f7(a1,a1,f905(a1,a1)),f836(f836(f8(a1,f906(a1,f905(a1,a1)),a1),f242(a1,a1)),f73(a1))),f2(a1))))),f836(f836(f7(a1,f906(a1,a1),f906(a1,f905(a1,a1))),f836(f836(f8(f906(a1,f905(a1,a1)),f906(f906(a1,a1),f906(a1,f905(a1,a1))),a1),f8(a1,f905(a1,a1),a1)),f836(f836(f8(a1,f906(a1,f905(a1,a1)),a1),f242(a1,a1)),f836(f836(f7(a1,a1,a1),f836(f836(f8(a1,f906(a1,a1),a1),f23(a1)),f73(a1))),f72(a1))))),f836(f23(a1),f836(f70(a1),x103792))))),f49(x103791,x103792)))),f42(x103791,x103792))
% 190.77/190.68 [5780]~P111(x57801)+~P94(x57801)+E(f836(f70(x57801),f836(f836(f234(x57801),f836(f94(x57801),a87)),x57802)),f72(x57801))
% 190.77/190.68 [6295]~P128(x62951)+~P1(f836(f836(f225(a1),x62952),f2(a1)))+E(f836(f73(x62951),f836(f90(x62951),f836(a95,f836(f73(a1),x62952)))),f836(f93(x62951),x62952))
% 190.77/190.68 [6506]P1(f836(f836(f224(a89),x65061),f72(a89)))+E(f836(f836(f74(a89),f72(a89)),f262(x65061,f836(f836(f31(a89),x65062),x65061))),f262(x65061,x65062))+P1(f836(f836(f225(a89),x65062),x65061))
% 190.77/190.68 [6995]~E(x69952,f72(a899))+~P1(f836(f836(f225(a899),f2(a899)),x69951))+P1(f836(f836(f277(a899),f836(f836(f75(a899),x69951),x69952)),x69951))
% 190.77/190.68 [6996]~E(x69961,f72(a899))+~P1(f836(f836(f225(a899),f2(a899)),x69962))+P1(f836(f836(f277(a899),f836(f836(f75(a899),x69961),x69962)),x69962))
% 190.77/190.68 [7128]~P92(x71281)+~P1(f836(f836(f318(x71281),x71282),f100(x71281)))+~E(f836(f836(f74(x71281),f836(f836(f74(x71281),f72(x71281)),x71282)),x71282),f2(x71281))
% 190.77/190.68 [7242]~P1(f836(f836(f224(a1),x72422),f2(a1)))+~P1(f836(f836(f225(a1),x72421),f2(a1)))+E(f836(f241(a1,a1),f836(a47,f43(f836(f73(a1),x72421),f836(f73(a1),x72422)))),f836(f836(f31(a1),x72421),x72422))
% 190.77/190.68 [7259]~P1(f836(f836(f224(a1),x72592),f2(a1)))+~P1(f836(f836(f225(a1),x72591),f2(a1)))+E(f836(f246(a1,a1),f836(a47,f43(f836(f73(a1),x72591),f836(f73(a1),x72592)))),f41(a1,x72591,x72592))
% 190.77/190.68 [7267]~P1(f836(f836(f225(a1),x72672),f2(a1)))+E(f836(f241(a1,a1),f836(a47,f46(f836(f73(a1),x72671),f836(f73(a1),x72672)))),f836(f836(f31(a1),x72671),x72672))+~P1(f836(f836(f225(a1),f2(a1)),x72671))
% 190.77/190.68 [7285]~P1(f836(f836(f225(a1),x72852),f2(a1)))+E(f836(f246(a1,a1),f836(a47,f46(f836(f73(a1),x72851),f836(f73(a1),x72852)))),f41(a1,x72851,x72852))+~P1(f836(f836(f225(a1),f2(a1)),x72851))
% 190.77/190.68 [7336]E(f836(f836(f31(a1),f836(f836(f234(a1),x73361),x73362)),x73361),f836(f836(f234(a1),x73361),f836(f836(f23(a899),x73362),f836(a102,f2(a899)))))+~P1(f836(f836(f225(a899),f2(a899)),x73362))+~P1(f836(f836(f225(a1),f2(a1)),x73361))
% 190.77/190.68 [7440]~P1(f836(f836(f225(a899),f2(a899)),x74401))+~P1(f836(f836(f225(a899),f2(a899)),x74402))+P1(f836(f836(f225(a899),f836(f836(f23(a899),x74401),x74402)),x74401))
% 190.77/190.68 [7441]~P1(f836(f836(f225(a899),f2(a899)),x74411))+~P1(f836(f836(f225(a899),f72(a899)),x74412))+P1(f836(f836(f225(a899),f836(f836(f31(a899),x74411),x74412)),x74411))
% 190.77/190.68 [7442]~P1(f836(f836(f225(a1),f2(a1)),x74421))+~P1(f836(f836(f225(a1),f72(a1)),x74422))+P1(f836(f836(f225(a1),f836(f836(f31(a1),x74421),x74422)),x74421))
% 190.77/190.68 [7579]E(x75791,f2(a899))+~E(x75792,f2(a1))+~P1(f836(f836(f225(a1),f2(a1)),f836(f836(f234(a1),f836(f70(a1),x75792)),x75791)))
% 190.77/190.68 [7620]E(x76201,f72(a899))+~P1(f836(f836(f225(a899),f2(a899)),x76202))+~P1(f836(f836(f277(a899),f836(f836(f75(a899),x76202),x76201)),x76202))
% 190.77/190.68 [7621]E(x76211,f72(a899))+~P1(f836(f836(f225(a899),f2(a899)),x76212))+~P1(f836(f836(f277(a899),f836(f836(f75(a899),x76211),x76212)),x76212))
% 190.77/190.68 [8002]~E(x80022,f103(f900(x80021)))+E(f836(f179(f900(f900(x80021))),f169(x80021,x80022)),f2(a899))+~P13(a899,f836(f158(a899),f836(f836(f144(f900(x80021),a899),f179(f900(x80021))),x80022)))
% 190.77/190.68 [8255]P1(f836(x82551,x82552))+~P1(f836(x82551,f836(a97,f484(x82551,x82552))))+~P1(f836(f836(f318(f906(f905(a899,a899),a895)),x82552),a88))
% 190.77/190.68 [8271]E(x82711,f103(f900(x82712)))+E(f836(f179(f900(x82712)),f836(f836(f154(f900(x82712)),x82711),f2(a899))),f836(f179(f900(f900(x82712))),f169(x82712,x82711)))+~P13(a899,f836(f158(a899),f836(f836(f144(f900(x82712),a899),f179(f900(x82712))),x82711)))
% 190.77/190.68 [8412]~P37(x84121,x84122)+~P38(x84121,x84122)+P37(x84121,f836(f836(f23(f906(f905(x84121,x84121),a895)),x84122),f297(x84121,f178(f906(f905(x84121,x84121),a895)))))
% 190.77/190.68 [8985]~P1(f836(f29(x89851),f836(f252(x89851),x89852)))+~P1(f836(f29(x89851),f232(f906(x89851,a895))))+P1(f836(f29(x89851),f836(f252(x89851),f836(f836(f8(a895,a895,x89851),a312),x89852))))
% 190.77/190.68 [9049]E(f836(f836(f242(a899,a899),f836(a102,f836(f836(f31(a899),f836(f836(f23(a899),x90491),x90492)),x90492))),f41(a899,f836(f836(f23(a899),x90491),x90492),x90492)),f79(f905(a899,a899),f44(x90491,x90492)))+~P1(f836(f836(f225(a899),f2(a899)),x90492))+~P1(f836(f836(f224(a899),x90492),x90491))
% 190.77/190.68 [9333]~P1(f836(f29(x93331),f836(f252(x93331),x93332)))+P1(f836(f29(x93331),f232(f906(x93331,a895))))+~P1(f836(f29(x93331),f836(f252(x93331),f836(f836(f8(a895,a895,x93331),a312),x93332))))
% 190.77/190.68 [10059]P26(x100591,x100592)+~P36(x100591,f836(f241(f906(f905(x100591,x100591),a895),f906(f905(x100591,x100591),a895)),x100592))+~P1(f836(f836(f224(f906(f905(x100591,x100591),a895)),f836(f836(f279(x100591,x100591,x100591),f836(f241(f906(f905(x100591,x100591),a895),f906(f905(x100591,x100591),a895)),x100592)),f836(f246(f906(f905(x100591,x100591),a895),f906(f905(x100591,x100591),a895)),x100592))),f836(f241(f906(f905(x100591,x100591),a895),f906(f905(x100591,x100591),a895)),x100592)))
% 190.77/190.68 [10156]~E(f290(a899,f277(a899),f836(f836(f18(a899,f906(a899,a895),f906(a899,a895)),f836(f836(f8(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f18(a899,a895,a895)),f836(f836(f8(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f836(f8(a895,f906(a895,a895),a899),a315)),f277(a899)))),f836(f836(f8(f906(a899,a895),f906(a899,a895),a899),f836(f8(a895,a895,a899),a312)),f836(f7(a899,a899,a895),f277(a899)))),x101562,x101561),f178(f906(a899,a895)))+~P1(f836(f836(f277(a899),x101562),x101561))+P1(f836(f836(f277(a899),x101561),x101562))
% 190.77/190.68 [10157]~E(f287(a899,f277(a899),f836(f836(f18(a899,f906(a899,a895),f906(a899,a895)),f836(f836(f8(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f18(a899,a895,a895)),f836(f836(f8(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f836(f8(a895,f906(a895,a895),a899),a315)),f277(a899)))),f836(f836(f8(f906(a899,a895),f906(a899,a895),a899),f836(f8(a895,a895,a899),a312)),f836(f7(a899,a899,a895),f277(a899)))),x101572,x101571),f178(f906(a899,a895)))+~P1(f836(f836(f277(a899),x101572),x101571))+P1(f836(f836(f277(a899),x101571),x101572))
% 190.77/190.68 [7366]~P1(f836(f836(f225(a899),f2(a899)),x73662))+P1(f836(f836(f225(a899),x73661),x73662))+E(f836(a102,f836(f836(f31(a899),f836(f836(f23(a899),x73661),x73662)),x73662)),f836(f836(f31(a899),x73661),x73662))
% 190.77/190.68 [7507]~P1(f836(f836(f225(a899),f2(a899)),x75072))+~P1(f836(f836(f224(a899),x75072),x75071))+E(f836(a102,f836(f836(f31(a899),f836(f836(f23(a899),x75071),x75072)),x75072)),f836(f836(f31(a899),x75071),x75072))
% 190.77/190.68 [8476]~P94(x84761)+~P92(x84761)+~P27(x84761,f836(f94(x84761),f836(f836(f23(a1),f836(f836(f74(a1),x84762),x84762)),a87)))
% 190.77/190.68 [9239]E(x92391,f2(a899))+E(f836(f836(f247(a899,a899,f905(a899,a899)),f836(f836(f8(a899,f906(a899,f905(a899,a899)),a899),f242(a899,a899)),a102)),f79(f905(a899,a899),f44(f836(f836(f23(a899),x92392),x92391),x92391))),f79(f905(a899,a899),f44(x92392,x92391)))+P1(f836(f836(f225(a899),x92392),x92391))
% 190.77/190.68 [9423]~P37(x94231,x94232)+~P51(x94231,x94232)+P1(f836(f836(f224(f906(f905(x94231,x94231),a895)),f836(f836(f279(x94231,x94231,x94231),f836(f276(x94231,x94231),x94232)),x94232)),x94232))
% 190.77/190.68 [9685]P1(f836(x96852,f614(x96852,x96851)))+P1(f836(x96851,f614(x96852,x96851)))+E(f836(f252(a1),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a315),f836(f224(a1),f2(a1)))),x96851)),f836(f252(a1),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a315),f836(f224(a1),f2(a1)))),x96852)))
% 190.77/190.68 [9689]~P1(f836(x96892,f614(x96892,x96891)))+~P1(f836(x96891,f614(x96892,x96891)))+E(f836(f252(a1),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a315),f836(f224(a1),f2(a1)))),x96891)),f836(f252(a1),f836(f836(f18(a1,a895,a895),f836(f836(f8(a895,f906(a895,a895),a1),a315),f836(f224(a1),f2(a1)))),x96892)))
% 190.77/190.68 [10239]~P1(f836(f836(f277(a899),x102392),x102391))+P1(f836(f836(f277(a899),x102391),x102392))+P1(f836(f836(f318(a899),x102391),f285(a899,f836(f836(f18(a899,f906(a899,a895),f906(a899,a895)),f836(f836(f8(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f18(a899,a895,a895)),f836(f836(f8(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f836(f8(a895,f906(a895,a895),a899),a315)),f277(a899)))),f836(f836(f8(f906(a899,a895),f906(a899,a895),a899),f836(f8(a895,a895,a899),a312)),f836(f7(a899,a899,a895),f277(a899)))),x102392)))
% 190.77/190.68 [10240]~P1(f836(f836(f277(a899),x102402),x102401))+P1(f836(f836(f277(a899),x102401),x102402))+P1(f836(f836(f318(a899),x102402),f288(a899,f836(f836(f18(a899,f906(a899,a895),f906(a899,a895)),f836(f836(f8(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f18(a899,a895,a895)),f836(f836(f8(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f836(f8(a895,f906(a895,a895),a899),a315)),f277(a899)))),f836(f836(f8(f906(a899,a895),f906(a899,a895),a899),f836(f8(a895,a895,a899),a312)),f836(f7(a899,a899,a895),f277(a899)))),x102401)))
% 190.77/190.68 [7718]~P94(x77181)+~P62(x77181)+E(f836(f836(f281(x77181),x77182),f836(f94(x77181),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))),x77182)
% 190.77/190.68 [9367]~P94(x93671)+~E(f836(f94(x93671),x93672),f72(x93671))+P27(x93671,f836(f94(x93671),f836(f836(f74(a1),x93672),f836(f73(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))))
% 190.77/190.68 [9555]~P143(x95551)+~E(x95552,f2(x95551))+E(f836(f836(f234(x95551),x95552),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f2(x95551))
% 190.77/190.68 [9556]~P143(x95561)+~E(x95562,f72(x95561))+E(f836(f836(f234(x95561),x95562),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f72(x95561))
% 190.77/190.68 [9571]~P143(x95711)+~E(x95712,f836(f73(x95711),f72(x95711)))+E(f836(f836(f234(x95711),x95712),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f72(x95711))
% 190.77/190.68 [9622]~P94(x96221)+E(f836(f94(x96221),x96222),f72(x96221))+~P27(x96221,f836(f94(x96221),f836(f836(f74(a1),x96222),f836(f73(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))))
% 190.77/190.68 [10003]~P111(x100032)+E(x100031,f2(x100032))+P1(f836(f836(f225(x100032),f2(x100032)),f836(f836(f234(x100032),x100031),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))))
% 190.77/190.68 [10058]~P111(x100582)+~E(x100581,f2(x100582))+~P1(f836(f836(f225(x100582),f2(x100582)),f836(f836(f234(x100582),x100581),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))))
% 190.77/190.68 [10094]P1(f836(f836(f224(a1),x100941),f2(a1)))+P1(f836(f836(f225(a1),x100942),x100941))+E(f836(f39(x100941),f43(x100942,f836(f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x100941))),f43(x100942,x100941))
% 190.77/190.68 [10095]~P1(f836(f836(f225(a1),f2(a1)),x100951))+P1(f836(f836(f225(a1),x100952),x100951))+E(f836(f39(x100951),f43(x100952,f836(f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x100951))),f43(x100952,x100951))
% 190.77/190.68 [10096]P1(f836(f836(f224(a1),x100961),f2(a1)))+P1(f836(f836(f224(a1),f2(a1)),f836(f836(f74(a1),x100962),x100961)))+E(f836(f39(x100961),f46(x100962,f836(f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x100961))),f46(x100962,x100961))
% 190.77/190.68 [10097]~P1(f836(f836(f225(a1),f2(a1)),x100971))+P1(f836(f836(f224(a1),f2(a1)),f836(f836(f74(a1),x100972),x100971)))+E(f836(f39(x100971),f46(x100972,f836(f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x100971))),f46(x100972,x100971))
% 190.77/190.68 [10098]~P144(x100981)+~P1(f836(f836(f224(a1),f2(a1)),x100982))+E(f836(f90(x100981),f836(a95,f836(f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x100982))),f836(f836(f74(x100981),f836(f90(x100981),f836(a95,x100982))),f836(f90(x100981),f836(a95,x100982))))
% 190.77/190.68 [5114]~P147(x51141,x51143,x51142)+~E(x51143,f2(a1))+P1(f836(x51141,x51142))
% 190.77/190.68 [5238]~P108(x52381)+~P13(x52381,x52383)+P13(x52381,f160(x52381,x52382,x52383))
% 190.77/190.68 [5239]~P108(x52391)+~P13(x52391,x52393)+P13(x52391,f167(x52391,x52392,x52393))
% 190.77/190.68 [4802]~P66(x48022)+~E(x48023,f836(f73(x48022),x48021))+E(x48021,f836(f73(x48022),x48023))
% 190.77/190.68 [4804]~P66(x48041)+~E(f836(f73(x48041),x48043),x48042)+E(f836(f73(x48041),x48042),x48043)
% 190.77/190.68 [4883]~P95(x48833)+E(x48831,x48832)+~E(f836(f90(x48833),x48831),f836(f90(x48833),x48832))
% 190.77/190.68 [4884]~P66(x48843)+E(x48841,x48842)+~E(f836(f73(x48843),x48841),f836(f73(x48843),x48842))
% 190.77/190.68 [4885]~P96(x48853)+E(x48851,x48852)+~E(f836(f73(x48853),x48851),f836(f73(x48853),x48852))
% 190.77/190.68 [4886]~P92(x48863)+E(x48861,x48862)+~E(f836(f93(x48863),x48861),f836(f93(x48863),x48862))
% 190.77/190.68 [4887]~P108(x48873)+E(x48871,x48872)+~E(f836(f272(x48873),x48871),f836(f272(x48873),x48872))
% 190.77/190.68 [4888]~P108(x48883)+E(x48881,x48882)+~E(f836(f291(x48883),x48881),f836(f291(x48883),x48882))
% 190.77/190.68 [4889]~P108(x48893)+E(x48891,x48892)+~E(f836(f273(x48893),x48891),f836(f273(x48893),x48892))
% 190.77/190.68 [4890]~P108(x48903)+E(x48901,x48902)+~E(f836(f294(x48903),x48901),f836(f294(x48903),x48902))
% 190.77/190.68 [4992]~P60(x49921)+~P1(f836(x49922,x49923))+P1(f836(f52(x49921),x49922))
% 190.77/190.68 [5032]~P60(x50323)+P1(f836(x50321,x50322))+~P1(f836(f53(x50323),x50321))
% 190.77/190.68 [5134]~P148(x51341,x51342,x51343)+~E(x51342,f2(a1))+P1(f836(x51341,f2(a1)))
% 190.77/190.68 [5174]~E(x51741,f2(a899))+E(f486(x51741,x51742,x51743),f178(f906(x51743,a895)))+~E(f836(f30(x51743),x51742),f836(a102,x51741))
% 190.77/190.68 [5322]~E(x53222,f2(a899))+E(f836(f241(a899,a899),x53221),f2(a899))+~P1(f836(f44(x53223,x53222),x53221))
% 190.77/190.68 [5361]P1(f836(x53611,x53612))+~E(x53613,f836(f90(a1),x53612))+~P1(f836(x53611,f836(a95,x53613)))
% 190.77/190.68 [5844]~E(x58443,f2(a899))+~P1(f836(x58441,x58442))+P1(f836(x58441,f41(a899,x58442,x58443)))
% 190.77/190.68 [6089]~P105(x60892)+~P105(x60891)+E(f121(x60891,x60892,f122(x60891,x60893),f122(x60892,x60893)),f122(f905(x60891,x60892),x60893))
% 190.77/190.68 [6276]~E(x62763,f2(a899))+P1(f836(x62761,x62762))+~P1(f836(x62761,f41(a899,x62762,x62763)))
% 190.77/190.68 [6979]E(x69791,f2(a899))+~P1(f836(x69792,f851(x69791,x69793,x69792)))+P1(f836(x69792,f41(a899,x69793,x69791)))
% 190.77/190.68 [7093]~P5(x70931)+~P1(f836(f836(f224(x70931),x70932),f590(x70933,x70932,x70931)))+P1(f836(f836(f224(x70931),x70932),f33(x70931,x70933)))
% 190.77/190.68 [7095]~P1(f836(x70951,x70952))+~P1(f836(x70951,f851(x70953,x70952,x70951)))+P1(f836(x70951,f41(a899,x70952,x70953)))
% 190.77/190.68 [7197]E(x71971,f103(x71972))+E(f836(f836(f141(x71972),f666(x71973,x71971,x71972)),f670(x71973,x71971,x71972)),x71971)+~P1(f836(f836(f318(f900(x71972)),x71971),f151(x71972,x71973)))
% 190.77/190.68 [7229]~P128(x72291)+~P1(f836(f836(f318(x72291),x72292),f100(x72291)))+P1(f836(f836(f318(x72291),f836(f836(f234(x72291),x72292),x72293)),f100(x72291)))
% 190.77/190.68 [7552]P36(x75521,x75522)+~P1(f836(f836(f318(x75521),x75523),f610(x75522,x75521)))+P1(f836(f836(f318(x75521),f613(x75522,x75521,x75523)),f610(x75522,x75521)))
% 190.77/190.68 [7823]E(x78231,f103(x78232))+~P1(f836(f836(f318(f900(x78232)),x78231),f151(x78232,x78233)))+P1(f836(f836(f318(f900(x78232)),f670(x78233,x78231,x78232)),f151(x78232,x78233)))
% 190.77/190.68 [7875]E(x78751,f2(a899))+E(f836(f836(f74(a899),f836(f836(f75(a899),x78751),f852(x78751,x78752,x78753))),f851(x78751,x78752,x78753)),x78752)+P1(f836(x78753,f41(a899,x78752,x78751)))
% 190.77/190.68 [7918]~P1(f836(x79183,x79182))+E(f836(f836(f74(a899),f836(f836(f75(a899),x79181),f852(x79181,x79182,x79183))),f851(x79181,x79182,x79183)),x79182)+P1(f836(x79183,f41(a899,x79182,x79181)))
% 190.77/190.68 [8058]P1(f836(f836(f225(a1),x80581),f853(x80582,x80583,x80581)))+P1(f836(f836(x80583,f836(f836(f31(a1),x80582),x80581)),f41(a1,x80582,x80581)))+~P1(f836(f836(f225(a1),x80581),f2(a1)))
% 190.77/190.68 [8326]P1(f836(f836(x83262,f836(f836(f31(a1),x83261),x83263)),f41(a1,x83261,x83263)))+~P1(f836(f836(f225(a1),x83263),f2(a1)))+P1(f836(f836(f224(a1),f853(x83261,x83262,x83263)),f2(a1)))
% 190.77/190.68 [8510]E(f836(f836(f74(a1),f836(f836(f75(a1),x85101),f854(x85102,x85103,x85101))),f853(x85102,x85103,x85101)),x85102)+P1(f836(f836(x85103,f836(f836(f31(a1),x85102),x85101)),f41(a1,x85102,x85101)))+~P1(f836(f836(f225(a1),x85101),f2(a1)))
% 190.77/190.68 [8748]~P1(f836(f836(x87481,f854(x87482,x87481,x87483)),f853(x87482,x87481,x87483)))+P1(f836(f836(x87481,f836(f836(f31(a1),x87482),x87483)),f41(a1,x87482,x87483)))+~P1(f836(f836(f225(a1),x87483),f2(a1)))
% 190.77/190.68 [8998]~P108(x89981)+~P13(x89981,x89983)+P13(x89981,f139(x89981,x89981,f5(x89981),x89982,x89983))
% 190.77/190.68 [9500]~P126(x95002)+E(x95001,f2(x95002))+~P1(f836(f836(f224(x95002),f836(f836(f74(x95002),f836(f836(f75(x95002),x95003),x95003)),f836(f836(f75(x95002),x95001),x95001))),f2(x95002)))
% 190.77/190.68 [9501]~P126(x95012)+E(x95011,f2(x95012))+~P1(f836(f836(f224(x95012),f836(f836(f74(x95012),f836(f836(f75(x95012),x95011),x95011)),f836(f836(f75(x95012),x95013),x95013))),f2(x95012)))
% 190.77/190.68 [10313]~P111(x103131)+~P1(f836(f836(f225(x103131),x103132),f2(x103131)))+P1(f836(f836(f225(x103131),f836(f836(f234(x103131),x103132),f836(a102,f836(f836(f75(a899),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x103133)))),f2(x103131)))
% 190.77/190.68 [10322]~P111(x103222)+E(x103221,f2(x103222))+~P1(f836(f836(f224(x103222),f836(f836(f74(x103222),f836(f836(f234(x103222),x103223),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))),f836(f836(f234(x103222),x103221),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))))),f2(x103222)))
% 190.77/190.68 [10323]~P111(x103232)+E(x103231,f2(x103232))+~P1(f836(f836(f224(x103232),f836(f836(f74(x103232),f836(f836(f234(x103232),x103231),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))),f836(f836(f234(x103232),x103233),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))))),f2(x103232)))
% 190.77/190.68 [4838]~E(x48382,x48383)+~P66(x48381)+E(f836(f836(f23(x48381),x48382),x48383),f2(x48381))
% 190.77/190.68 [4839]~E(x48392,x48393)+~P67(x48391)+E(f836(f836(f23(x48391),x48392),x48393),f2(x48391))
% 190.77/190.68 [4852]~P146(x48521)+~E(x48523,f2(x48521))+E(f836(f836(f74(x48521),x48522),x48523),x48522)
% 190.77/190.68 [4870]~P142(x48701)+~E(x48703,f2(x48701))+E(f836(f836(f75(x48701),x48702),x48703),f2(x48701))
% 190.77/190.68 [4871]~P142(x48711)+~E(x48712,f2(x48711))+E(f836(f836(f75(x48711),x48712),x48713),f2(x48711))
% 190.77/190.68 [4892]~E(x48923,f103(x48921))+~E(x48922,f103(x48921))+E(f836(f836(f124(x48921),x48922),x48923),f103(x48921))
% 190.77/190.68 [4982]~P146(x49822)+E(x49821,f2(x49822))+~E(f836(f836(f74(x49822),x49823),x49821),x49823)
% 190.77/190.68 [4983]~P66(x49831)+~E(x49832,f836(f73(x49831),x49833))+E(f836(f836(f74(x49831),x49832),x49833),f2(x49831))
% 190.77/190.68 [4990]E(x49901,f103(x49902))+E(x49903,f2(a899))+~E(f836(f836(f165(x49902),x49903),x49901),f103(x49902))
% 190.77/190.68 [5000]~P66(x50003)+E(x50001,x50002)+~E(f836(f836(f23(x50003),x50001),x50002),f2(x50003))
% 190.77/190.68 [5001]~P67(x50013)+E(x50011,x50012)+~E(f836(f836(f23(x50013),x50011),x50012),f2(x50013))
% 190.77/190.68 [5014]~P143(x50142)+E(x50141,f2(x50142))+~E(f836(f836(f234(x50142),x50141),x50143),f2(x50142))
% 190.77/190.68 [5015]~P100(x50152)+E(x50151,f178(x50152))+~E(f836(f836(f91(x50152),x50153),x50151),f178(x50152))
% 190.77/190.68 [5016]~P100(x50162)+E(x50161,f178(x50162))+~E(f836(f836(f91(x50162),x50161),x50163),f178(x50162))
% 190.77/190.68 [5017]~P103(x50172)+E(x50171,f232(x50172))+~E(f836(f836(f92(x50172),x50173),x50171),f232(x50172))
% 190.77/190.68 [5018]~P103(x50182)+E(x50181,f232(x50182))+~E(f836(f836(f92(x50182),x50181),x50183),f232(x50182))
% 190.77/190.68 [5088]~P66(x50882)+E(x50881,f836(f73(x50882),x50883))+~E(f836(f836(f74(x50882),x50881),x50883),f2(x50882))
% 190.77/190.68 [5089]~P66(x50891)+E(f836(f73(x50891),x50892),x50893)+~E(f836(f836(f74(x50891),x50892),x50893),f2(x50891))
% 190.77/190.68 [5091]~E(x50912,x50913)+~P81(x50911)+P1(f836(f836(f224(x50911),x50912),x50913))
% 190.77/190.68 [5093]~E(x50932,x50933)+~P109(x50931)+P1(f836(f836(f224(x50931),x50932),x50933))
% 190.77/190.68 [5191]~P120(x51911)+~E(x51912,f836(f73(x51911),x51913))+E(f836(f836(f75(x51911),x51912),x51912),f836(f836(f75(x51911),x51913),x51913))
% 190.77/190.68 [5199]~P108(x51991)+~P13(x51991,x51993)+P13(x51991,f836(f836(f165(x51991),x51992),x51993))
% 190.77/190.68 [5200]~P108(x52001)+~P13(x52001,x52003)+P13(x52001,f836(f836(f128(x52001),x52002),x52003))
% 190.77/190.68 [5236]E(x52361,x52362)+E(x52363,f2(a899))+~E(f836(f836(f75(a899),x52363),x52361),f836(f836(f75(a899),x52363),x52362))
% 190.77/190.68 [5237]E(x52371,x52372)+E(x52373,f2(a899))+~E(f836(f836(f75(a899),x52371),x52373),f836(f836(f75(a899),x52372),x52373))
% 190.77/190.68 [5315]~E(x53152,x53153)+~P109(x53151)+E(f293(x53151,x53152,x53153),f836(f836(f299(x53151),x53152),f178(f906(x53151,a895))))
% 190.77/190.68 [5350]~P111(x53501)+~E(f836(f70(x53501),x53502),f836(f70(x53501),x53503))+P1(f836(f836(f277(x53501),x53502),x53503))
% 190.77/190.68 [5358]~E(x53581,x53582)+~P108(x53583)+~P1(f836(f836(f225(x53583),x53581),x53582))
% 190.77/190.68 [5359]~E(x53591,x53592)+~P109(x53593)+~P1(f836(f836(f225(x53593),x53591),x53592))
% 190.77/190.68 [5372]~P109(x53721)+E(f836(f292(x53721,x53722),x53723),f178(f906(x53721,a895)))+P1(f836(f836(f225(x53721),x53722),x53723))
% 190.77/190.68 [5421]~P109(x54211)+E(f295(x54211,x54212,x54213),f178(f906(x54211,a895)))+P1(f836(f836(f225(x54211),x54212),x54213))
% 190.77/190.68 [5422]~P109(x54221)+E(f293(x54221,x54222,x54223),f178(f906(x54221,a895)))+P1(f836(f836(f224(x54221),x54222),x54223))
% 190.77/190.68 [5423]~P109(x54231)+E(f178(f906(x54231,a895)),f295(x54231,x54232,x54233))+P1(f836(f836(f225(x54231),x54232),x54233))
% 190.77/190.68 [5424]~P109(x54241)+E(f178(f906(x54241,a895)),f293(x54241,x54242,x54243))+P1(f836(f836(f224(x54241),x54242),x54243))
% 190.77/190.68 [5432]~P108(x54321)+~E(f836(f836(f228(x54321),x54322),x54323),x54322)+P1(f836(f836(f224(x54321),x54322),x54323))
% 190.77/190.68 [5433]~P108(x54331)+~E(f836(f836(f223(x54331),x54332),x54333),x54333)+P1(f836(f836(f224(x54331),x54332),x54333))
% 190.77/190.68 [5434]~P98(x54341)+~E(f836(f836(f91(x54341),x54342),x54343),x54343)+P1(f836(f836(f224(x54341),x54342),x54343))
% 190.77/190.68 [5435]~P104(x54351)+~E(f836(f836(f92(x54351),x54352),x54353),x54352)+P1(f836(f836(f224(x54351),x54352),x54353))
% 190.77/190.68 [5454]~P108(x54541)+P13(x54541,x54542)+~P13(x54541,f836(f836(f141(x54541),x54543),x54542))
% 190.77/190.68 [5455]~P108(x54551)+P13(x54551,x54552)+~P13(x54551,f836(f836(f124(x54551),x54553),x54552))
% 190.77/190.68 [5456]~P108(x54561)+P13(x54561,x54562)+~P13(x54561,f836(f836(f124(x54561),x54562),x54563))
% 190.77/190.68 [5461]~P3(x54611)+~E(f41(x54611,x54613,x54612),f2(x54611))+P1(f836(f836(f277(x54611),x54612),x54613))
% 190.77/190.68 [5523]~P108(x55231)+P1(f836(f836(f224(x55231),x55233),x55232))+P1(f836(f836(f224(x55231),x55232),x55233))
% 190.77/190.68 [5528]~P108(x55281)+P1(f836(f836(f225(x55281),x55283),x55282))+P1(f836(f836(f224(x55281),x55282),x55283))
% 190.77/190.68 [5565]~P108(x55651)+E(f836(f836(f228(x55651),x55652),x55653),x55653)+~P1(f836(f836(f224(x55651),x55653),x55652))
% 190.77/190.68 [5567]~P108(x55671)+E(f836(f836(f228(x55671),x55672),x55673),x55672)+~P1(f836(f836(f224(x55671),x55672),x55673))
% 190.77/190.68 [5568]~P108(x55681)+E(f836(f836(f223(x55681),x55682),x55683),x55682)+~P1(f836(f836(f224(x55681),x55683),x55682))
% 190.77/190.68 [5570]~P108(x55701)+E(f836(f836(f223(x55701),x55702),x55703),x55703)+~P1(f836(f836(f224(x55701),x55702),x55703))
% 190.77/190.68 [5571]~P98(x55711)+E(f836(f836(f91(x55711),x55712),x55713),x55712)+~P1(f836(f836(f224(x55711),x55713),x55712))
% 190.77/190.68 [5573]~P98(x55731)+E(f836(f836(f91(x55731),x55732),x55733),x55733)+~P1(f836(f836(f224(x55731),x55732),x55733))
% 190.77/190.68 [5574]~P104(x55741)+E(f836(f836(f92(x55741),x55742),x55743),x55743)+~P1(f836(f836(f224(x55741),x55743),x55742))
% 190.77/190.68 [5576]~P104(x55761)+E(f836(f836(f92(x55761),x55762),x55763),x55762)+~P1(f836(f836(f224(x55761),x55762),x55763))
% 190.77/190.68 [5583]~P122(x55832)+E(x55831,f2(x55832))+E(f836(f836(f281(x55832),f836(f73(x55832),x55833)),f836(f73(x55832),x55831)),f836(f836(f281(x55832),x55833),x55831))
% 190.77/190.68 [5590]~P3(x55901)+E(f41(x55901,x55902,x55903),f2(x55901))+~P1(f836(f836(f277(x55901),x55903),x55902))
% 190.77/190.68 [5636]~P109(x56361)+E(f836(f292(x56361,x56362),x56363),f178(f906(x56361,a895)))+~P1(f836(f836(f224(x56361),x56363),x56362))
% 190.77/190.68 [5669]~P109(x56691)+E(f296(x56691,x56692,x56693),f178(f906(x56691,a895)))+~P1(f836(f836(f224(x56691),x56693),x56692))
% 190.77/190.68 [5670]~P109(x56701)+E(f295(x56701,x56702,x56703),f178(f906(x56701,a895)))+~P1(f836(f836(f224(x56701),x56703),x56702))
% 190.77/190.68 [5671]~P109(x56711)+E(f293(x56711,x56712,x56713),f178(f906(x56711,a895)))+~P1(f836(f836(f225(x56711),x56713),x56712))
% 190.77/190.68 [5723]~E(f836(f836(f23(a899),x57231),x57233),x57232)+E(x57231,f836(f836(f74(a899),x57232),x57233))+~P1(f836(f836(f224(a899),x57233),x57231))
% 190.77/190.68 [5724]~E(x57241,f836(f836(f74(a899),x57243),x57242))+E(f836(f836(f23(a899),x57241),x57242),x57243)+~P1(f836(f836(f224(a899),x57242),x57241))
% 190.77/190.68 [5769]~P1(f836(x57691,x57693))+P1(f836(x57691,f337(x57691,x57692)))+~P1(f836(f836(f224(a899),x57693),x57692))
% 190.77/190.68 [5770]~P1(f836(x57701,x57703))+P1(f836(x57701,f345(x57701,x57702)))+~P1(f836(f836(f225(a899),x57703),x57702))
% 190.77/190.68 [5778]~P109(x57781)+~E(f836(f292(x57781,x57782),x57783),f178(f906(x57781,a895)))+~P1(f836(f836(f225(x57781),x57782),x57783))
% 190.77/190.68 [5783]~P81(x57831)+~P1(f836(f836(f225(x57831),x57832),x57833))+P1(f836(f836(f224(x57831),x57832),x57833))
% 190.77/190.68 [5785]~P109(x57851)+~P1(f836(f836(f225(x57851),x57852),x57853))+P1(f836(f836(f224(x57851),x57852),x57853))
% 190.77/190.68 [5903]~P109(x59031)+~E(f295(x59031,x59032,x59033),f178(f906(x59031,a895)))+~P1(f836(f836(f225(x59031),x59032),x59033))
% 190.77/190.68 [5904]~P109(x59041)+~E(f293(x59041,x59042,x59043),f178(f906(x59041,a895)))+~P1(f836(f836(f224(x59041),x59042),x59043))
% 190.77/190.68 [5905]~P109(x59051)+~E(f178(f906(x59051,a895)),f295(x59051,x59052,x59053))+~P1(f836(f836(f225(x59051),x59052),x59053))
% 190.77/190.68 [5906]~P109(x59061)+~E(f178(f906(x59061,a895)),f293(x59061,x59062,x59063))+~P1(f836(f836(f224(x59061),x59062),x59063))
% 190.77/190.68 [5916]P1(f836(x59161,x59162))+~P1(f836(x59161,f346(x59161,x59163)))+~P1(f836(f836(f224(a899),x59162),x59163))
% 190.77/190.68 [5917]P1(f836(x59171,x59172))+~P1(f836(x59171,f349(x59171,x59173)))+~P1(f836(f836(f225(a899),x59172),x59173))
% 190.77/190.68 [5925]~E(x59251,f836(a102,x59253))+P1(f836(f836(f225(a899),x59251),f836(a102,x59252)))+~P1(f836(f836(f225(a899),x59253),x59252))
% 190.77/190.68 [5944]E(x59441,x59442)+~E(f836(f836(f75(a899),x59443),x59441),f836(f836(f75(a899),x59443),x59442))+~P1(f836(f836(f225(a899),f2(a899)),x59443))
% 190.77/190.68 [6005]E(f836(x60051,f388(x60051,x60052,x60053)),f72(a899))+~E(f836(f836(f6(x60053,a899),x60051),x60052),f72(a899))+~P1(f836(f29(x60053),x60052))
% 190.77/190.68 [6022]~P5(x60221)+P1(f836(f836(f224(x60221),x60222),f32(x60221,x60223)))+~P1(f836(f836(f318(x60221),x60222),x60223))
% 190.77/190.68 [6045]~P81(x60451)+~P1(f836(f836(f225(x60451),x60453),x60452))+~P1(f836(f836(f224(x60451),x60452),x60453))
% 190.77/190.68 [6049]~P81(x60491)+~P1(f836(f836(f225(x60491),x60493),x60492))+~P1(f836(f836(f225(x60491),x60492),x60493))
% 190.77/190.68 [6052]~P108(x60521)+~P1(f836(f836(f225(x60521),x60523),x60522))+~P1(f836(f836(f224(x60521),x60522),x60523))
% 190.77/190.68 [6053]~P108(x60531)+~P1(f836(f836(f225(x60531),x60533),x60532))+~P1(f836(f836(f225(x60531),x60532),x60533))
% 190.77/190.68 [6054]~P109(x60541)+~P1(f836(f836(f225(x60541),x60543),x60542))+~P1(f836(f836(f225(x60541),x60542),x60543))
% 190.77/190.68 [6074]~E(x60742,x60743)+~E(x60741,x60742)+E(f280(a899,f277(a899),x60741,x60742),f836(f836(f299(a899),x60743),f178(f906(a899,a895))))
% 190.77/190.68 [6081]~E(f836(x60812,f861(x60812,x60813,x60811)),f72(a899))+E(f836(f836(f9(x60811,a899),x60812),x60813),f72(a899))+~P1(f836(f29(x60811),x60813))
% 190.77/190.68 [6082]~E(f836(x60822,f389(x60822,x60823,x60821)),f2(a899))+E(f836(f836(f6(x60821,a899),x60822),x60823),f2(a899))+~P1(f836(f29(x60821),x60823))
% 190.77/190.68 [6098]~P107(x60981)+~P1(f836(f836(f224(x60981),x60983),x60982))+P1(f836(f836(f318(x60981),x60982),f836(f273(x60981),x60983)))
% 190.77/190.68 [6099]~P107(x60991)+~P1(f836(f836(f225(x60991),x60993),x60992))+P1(f836(f836(f318(x60991),x60992),f836(f294(x60991),x60993)))
% 190.77/190.68 [6100]~P107(x61001)+~P1(f836(f836(f225(x61001),x61002),x61003))+P1(f836(f836(f318(x61001),x61002),f836(f272(x61001),x61003)))
% 190.77/190.68 [6101]~P107(x61011)+~P1(f836(f836(f224(x61011),x61012),x61013))+P1(f836(f836(f318(x61011),x61012),f836(f291(x61011),x61013)))
% 190.77/190.68 [6102]~P114(x61021)+~P1(f836(f836(f277(x61021),x61022),x61023))+P1(f836(f836(f277(x61021),x61022),f836(f73(x61021),x61023)))
% 190.77/190.68 [6103]~P111(x61031)+~P1(f836(f836(f277(x61031),x61032),x61033))+P1(f836(f836(f277(x61031),x61032),f836(f70(x61031),x61033)))
% 190.77/190.68 [6115]E(f836(x61151,f393(x61151,x61152,x61153)),f836(a102,f2(a899)))+~E(f836(f836(f6(x61153,a899),x61151),x61152),f836(a102,f2(a899)))+~P1(f836(f29(x61153),x61152))
% 190.77/190.68 [6198]~P5(x61981)+~P1(f836(f836(f318(x61981),x61983),x61982))+P1(f836(f836(f224(x61981),f33(x61981,x61982)),x61983))
% 190.77/190.68 [6219]~P1(f836(f836(f224(a899),x62191),x62193))+P1(f836(f836(f224(a899),x62191),x62192))+~P1(f836(f836(f224(a899),x62193),x62192))
% 190.77/190.68 [6220]~P1(f836(f836(f224(a1),x62201),x62203))+P1(f836(f836(f224(a1),x62201),x62202))+~P1(f836(f836(f224(a1),x62203),x62202))
% 190.77/190.68 [6221]~P1(f836(f836(f277(a899),x62211),x62213))+P1(f836(f836(f277(a899),x62211),x62212))+~P1(f836(f836(f277(a899),x62213),x62212))
% 190.77/190.68 [6241]~P107(x62411)+~P1(f836(f836(f318(x62411),x62413),f836(f273(x62411),x62412)))+P1(f836(f836(f224(x62411),x62412),x62413))
% 190.77/190.68 [6242]~P107(x62421)+~P1(f836(f836(f318(x62421),x62422),f836(f291(x62421),x62423)))+P1(f836(f836(f224(x62421),x62422),x62423))
% 190.77/190.68 [6243]~P107(x62431)+~P1(f836(f836(f318(x62431),x62433),f836(f294(x62431),x62432)))+P1(f836(f836(f225(x62431),x62432),x62433))
% 190.77/190.68 [6244]~P107(x62441)+~P1(f836(f836(f318(x62441),x62442),f836(f272(x62441),x62443)))+P1(f836(f836(f225(x62441),x62442),x62443))
% 190.77/190.68 [6245]~P111(x62451)+~P1(f836(f836(f277(x62451),x62452),f836(f70(x62451),x62453)))+P1(f836(f836(f277(x62451),x62452),x62453))
% 190.77/190.68 [6246]~P114(x62461)+~P1(f836(f836(f277(x62461),x62462),f836(f73(x62461),x62463)))+P1(f836(f836(f277(x62461),x62462),x62463))
% 190.77/190.68 [6320]~P1(f836(x63201,x63202))+P1(f836(x63201,f766(x63201)))+~P1(f836(f836(f318(x63203),x63202),f232(f906(x63203,a895))))
% 190.77/190.68 [6469]~P63(x64691)+P1(f836(f836(f225(x64691),f2(x64691)),f395(x64693,x64692,x64691)))+P1(f836(f836(f224(x64691),x64692),x64693))
% 190.77/190.68 [6470]~P64(x64701)+P1(f836(f836(f225(x64701),f2(x64701)),f747(x64703,x64702,x64701)))+P1(f836(f836(f224(x64701),x64702),x64703))
% 190.77/190.68 [6540]~P65(x65401)+~P1(f836(f836(f224(x65401),x65403),f836(f73(x65401),x65402)))+P1(f836(f836(f224(x65401),x65402),f836(f73(x65401),x65403)))
% 190.77/190.68 [6542]~P65(x65421)+~P1(f836(f836(f225(x65421),x65423),f836(f73(x65421),x65422)))+P1(f836(f836(f225(x65421),x65422),f836(f73(x65421),x65423)))
% 190.77/190.68 [6554]~P1(f836(f836(f225(a899),x65541),x65543))+~P1(f836(f836(f225(a899),x65543),x65542))+P1(f836(f836(f225(a899),f836(a102,x65541)),x65542))
% 190.77/190.68 [6585]~P110(x65851)+P1(f836(f836(f224(x65851),f836(f90(x65851),x65852)),f836(f90(x65851),x65853)))+~P1(f836(f836(f224(a899),x65852),x65853))
% 190.77/190.68 [6586]~P111(x65861)+P1(f836(f836(f224(x65861),f836(f93(x65861),x65862)),f836(f93(x65861),x65863)))+~P1(f836(f836(f224(a1),x65862),x65863))
% 190.77/190.68 [6588]~P111(x65881)+P1(f836(f836(f225(x65881),f836(f93(x65881),x65882)),f836(f93(x65881),x65883)))+~P1(f836(f836(f225(a1),x65882),x65883))
% 190.77/190.68 [6589]~P110(x65891)+P1(f836(f836(f225(x65891),f836(f90(x65891),x65892)),f836(f90(x65891),x65893)))+~P1(f836(f836(f225(a899),x65892),x65893))
% 190.77/190.68 [6595]~P108(x65951)+E(f836(f836(f91(f906(x65951,a895)),f836(f272(x65951),x65952)),f836(f292(x65951,x65952),x65953)),f836(f272(x65951),x65953))+~P1(f836(f836(f224(x65951),x65952),x65953))
% 190.77/190.68 [6625]~P65(x66251)+~P1(f836(f836(f224(x66251),x66253),x66252))+P1(f836(f836(f224(x66251),f836(f73(x66251),x66252)),f836(f73(x66251),x66253)))
% 190.77/190.68 [6627]~P96(x66271)+~P1(f836(f836(f224(x66271),x66273),x66272))+P1(f836(f836(f224(x66271),f836(f73(x66271),x66272)),f836(f73(x66271),x66273)))
% 190.77/190.68 [6628]~P65(x66281)+~P1(f836(f836(f225(x66281),x66283),x66282))+P1(f836(f836(f225(x66281),f836(f73(x66281),x66282)),f836(f73(x66281),x66283)))
% 190.77/190.68 [6664]~P108(x66641)+E(f836(f836(f91(f906(x66641,a895)),f836(f272(x66641),x66642)),f293(x66641,x66642,x66643)),f836(f291(x66641),x66643))+~P1(f836(f836(f224(x66641),x66642),x66643))
% 190.77/190.68 [6665]~P108(x66651)+E(f836(f836(f91(f906(x66651,a895)),f836(f291(x66651),x66652)),f296(x66651,x66652,x66653)),f836(f272(x66651),x66653))+~P1(f836(f836(f225(x66651),x66652),x66653))
% 190.77/190.68 [6666]~P108(x66661)+E(f836(f836(f91(f906(x66661,a895)),f836(f291(x66661),x66662)),f295(x66661,x66662,x66663)),f836(f291(x66661),x66663))+~P1(f836(f836(f224(x66661),x66662),x66663))
% 190.77/190.68 [6700]~P108(x67001)+E(f836(f836(f91(f906(x67001,a895)),f836(f292(x67001,x67002),x67003)),f836(f273(x67001),x67003)),f836(f273(x67001),x67002))+~P1(f836(f836(f224(x67001),x67002),x67003))
% 190.77/190.68 [6862]~P108(x68621)+E(f836(f836(f91(f906(x68621,a895)),f296(x68621,x68622,x68623)),f836(f273(x68621),x68623)),f836(f294(x68621),x68622))+~P1(f836(f836(f225(x68621),x68622),x68623))
% 190.77/190.68 [6863]~P108(x68631)+E(f836(f836(f91(f906(x68631,a895)),f295(x68631,x68632,x68633)),f836(f294(x68631),x68633)),f836(f294(x68631),x68632))+~P1(f836(f836(f224(x68631),x68632),x68633))
% 190.77/190.68 [6864]~P108(x68641)+E(f836(f836(f91(f906(x68641,a895)),f293(x68641,x68642,x68643)),f836(f294(x68641),x68643)),f836(f273(x68641),x68642))+~P1(f836(f836(f224(x68641),x68642),x68643))
% 190.77/190.68 [6883]P1(f836(x68831,x68832))+~P1(f836(f836(f224(a899),x68832),x68833))+P1(f836(f836(f318(a899),f346(x68831,x68833)),f293(a899,f2(a899),x68833)))
% 190.77/190.68 [6917]E(x69171,x69172)+~E(f836(f836(f154(x69173),x69171),f632(x69173,x69172,x69171)),f836(f836(f154(x69173),x69172),f632(x69173,x69172,x69171)))+~E(f836(f179(f900(x69173)),x69171),f836(f179(f900(x69173)),x69172))
% 190.77/190.68 [6922]~E(x69223,f836(f836(f31(a899),x69221),x69222))+~P1(f836(f836(f225(a899),f2(a899)),x69222))+P1(f836(f836(f225(a899),x69221),f836(f836(f75(a899),x69222),f836(a102,x69223))))
% 190.77/190.68 [6938]~P1(f836(x69381,x69383))+~P1(f836(f836(f224(a899),x69383),x69382))+P1(f836(f836(f318(a899),f337(x69381,x69382)),f293(a899,f2(a899),x69382)))
% 190.77/190.68 [6977]~P1(f836(x69771,x69773))+P1(f836(x69771,f347(x69771,x69772)))+~P1(f836(f836(f318(a899),x69773),f293(a899,f2(a899),x69772)))
% 190.77/190.68 [6998]~P110(x69983)+~P1(f836(f836(f224(x69983),f836(f90(x69983),x69981)),f836(f90(x69983),x69982)))+P1(f836(f836(f224(a899),x69981),x69982))
% 190.77/190.68 [6999]~P111(x69993)+~P1(f836(f836(f224(x69993),f836(f93(x69993),x69991)),f836(f93(x69993),x69992)))+P1(f836(f836(f224(a1),x69991),x69992))
% 190.77/190.68 [7001]~P110(x70013)+~P1(f836(f836(f225(x70013),f836(f90(x70013),x70011)),f836(f90(x70013),x70012)))+P1(f836(f836(f225(a899),x70011),x70012))
% 190.77/190.68 [7002]~P111(x70023)+~P1(f836(f836(f225(x70023),f836(f93(x70023),x70021)),f836(f93(x70023),x70022)))+P1(f836(f836(f225(a1),x70021),x70022))
% 190.77/190.68 [7019]~P110(x70191)+~P1(f836(f836(f225(x70191),f72(x70191)),x70192))+P1(f836(f836(f225(x70191),f72(x70191)),f836(f836(f234(x70191),x70192),f836(a102,x70193))))
% 190.77/190.68 [7022]~P65(x70221)+~P1(f836(f836(f224(x70221),f836(f73(x70221),x70223)),f836(f73(x70221),x70222)))+P1(f836(f836(f224(x70221),x70222),x70223))
% 190.77/190.68 [7023]~P96(x70231)+~P1(f836(f836(f224(x70231),f836(f73(x70231),x70233)),f836(f73(x70231),x70232)))+P1(f836(f836(f224(x70231),x70232),x70233))
% 190.77/190.68 [7024]~P65(x70241)+~P1(f836(f836(f225(x70241),f836(f73(x70241),x70243)),f836(f73(x70241),x70242)))+P1(f836(f836(f225(x70241),x70242),x70243))
% 190.77/190.68 [7048]P1(f836(x70481,x70482))+~P1(f836(x70481,f348(x70481,x70483)))+~P1(f836(f836(f318(a899),x70482),f293(a899,f2(a899),x70483)))
% 190.77/190.68 [7070]~P63(x70701)+P1(f836(f836(f225(x70701),f395(x70703,x70702,x70701)),f72(x70701)))+P1(f836(f836(f224(x70701),x70702),x70703))
% 190.77/190.68 [7090]~E(f41(a899,x70903,x70902),f41(a899,x70901,x70902))+E(f836(f836(f74(a899),x70901),f836(f836(f75(a899),x70902),f522(x70901,x70902,x70903))),x70903)+~P1(f836(f836(f224(a899),x70901),x70903))
% 190.77/190.68 [7145]E(f836(f836(f9(x71451,a899),x71452),x71453),f72(a899))+~P1(f836(f29(x71451),x71453))+P1(f836(f836(f318(x71451),f861(x71452,x71453,x71451)),x71453))
% 190.77/190.68 [7146]E(f836(f836(f6(x71461,a899),x71462),x71463),f2(a899))+~P1(f836(f29(x71461),x71463))+P1(f836(f836(f318(x71461),f389(x71462,x71463,x71461)),x71463))
% 190.77/190.68 [7168]~P108(x71681)+~P1(f836(f836(f224(x71681),x71682),x71683))+P1(f836(f836(f224(f906(x71681,a895)),f836(f272(x71681),x71682)),f836(f272(x71681),x71683)))
% 190.77/190.68 [7169]~P109(x71691)+~P1(f836(f836(f224(x71691),x71692),x71693))+P1(f836(f836(f224(f906(x71691,a895)),f836(f291(x71691),x71692)),f836(f291(x71691),x71693)))
% 190.77/190.68 [7170]~P109(x71701)+~P1(f836(f836(f224(x71701),x71703),x71702))+P1(f836(f836(f224(f906(x71701,a895)),f836(f273(x71701),x71702)),f836(f273(x71701),x71703)))
% 190.77/190.68 [7171]~P108(x71711)+~P1(f836(f836(f224(x71711),x71713),x71712))+P1(f836(f836(f224(f906(x71711,a895)),f836(f294(x71711),x71712)),f836(f294(x71711),x71713)))
% 190.77/190.68 [7172]~P108(x71721)+~P1(f836(f836(f225(x71721),x71722),x71723))+P1(f836(f836(f225(f906(x71721,a895)),f836(f272(x71721),x71722)),f836(f272(x71721),x71723)))
% 190.77/190.68 [7183]~P5(x71831)+P1(f836(f836(f224(x71831),x71832),f33(x71831,x71833)))+P1(f836(f836(f318(x71831),f590(x71833,x71832,x71831)),x71833))
% 190.77/190.68 [7189]~P65(x71891)+P1(f836(f836(f224(x71891),f836(f836(f23(x71891),x71892),x71893)),f2(x71891)))+~P1(f836(f836(f224(x71891),x71892),x71893))
% 190.77/190.68 [7190]~P65(x71901)+P1(f836(f836(f225(x71901),f836(f836(f23(x71901),x71902),x71903)),f2(x71901)))+~P1(f836(f836(f225(x71901),x71902),x71903))
% 190.77/190.68 [7232]P1(f836(x72321,x72322))+P1(f836(f836(f224(a899),f348(x72321,x72323)),x72323))+~P1(f836(f836(f318(a899),x72322),f293(a899,f2(a899),x72323)))
% 190.77/190.68 [7274]~E(f836(f836(f6(x72741,a899),x72742),x72743),f72(a899))+~P1(f836(f29(x72741),x72743))+P1(f836(f836(f318(x72741),f388(x72742,x72743,x72741)),x72743))
% 190.77/190.68 [7275]~P1(f836(x72751,x72753))+P1(f836(f836(f224(a899),f347(x72751,x72752)),x72752))+~P1(f836(f836(f318(a899),x72753),f293(a899,f2(a899),x72752)))
% 190.77/190.68 [7313]~P5(x73131)+P1(f836(f836(f318(x73131),f592(x73133,x73132,x73131)),x73132))+P1(f836(f836(f224(x73131),f32(x73131,x73132)),x73133))
% 190.77/190.68 [7347]~E(f836(f836(f6(x73471,a899),x73472),x73473),f836(a102,f2(a899)))+~P1(f836(f29(x73471),x73473))+P1(f836(f836(f318(x73471),f393(x73472,x73473,x73471)),x73473))
% 190.77/190.68 [7358]E(x73581,f2(a899))+P1(f836(x73582,f41(a899,x73583,x73581)))+P1(f836(f836(f225(a899),f851(x73581,x73583,x73582)),x73581))
% 190.77/190.68 [7470]~P1(f836(x74701,x74702))+P1(f836(x74701,f41(a899,x74702,x74703)))+P1(f836(f836(f225(a899),f851(x74703,x74702,x74701)),x74703))
% 190.77/190.68 [7583]E(x75831,f103(x75832))+~P1(f836(f836(f318(f900(x75832)),x75831),f151(x75832,x75833)))+P1(f836(f836(f318(x75832),f666(x75833,x75831,x75832)),x75833))
% 190.77/190.68 [7606]~P108(x76061)+E(f836(f836(f91(f906(x76061,a895)),f836(f836(f299(x76061),x76062),f178(f906(x76061,a895)))),f296(x76061,x76062,x76063)),f836(f292(x76061,x76062),x76063))+~P1(f836(f836(f225(x76061),x76062),x76063))
% 190.77/190.68 [7629]~P108(x76291)+E(f836(f836(f91(f906(x76291,a895)),f836(f836(f299(x76291),x76292),f178(f906(x76291,a895)))),f295(x76291,x76292,x76293)),f293(x76291,x76292,x76293))+~P1(f836(f836(f224(x76291),x76292),x76293))
% 190.77/190.68 [7740]~P108(x77401)+P1(f836(f836(f224(x77401),x77402),x77403))+~P1(f836(f836(f224(f906(x77401,a895)),f836(f294(x77401),x77403)),f836(f294(x77401),x77402)))
% 190.77/190.68 [7741]~P109(x77411)+P1(f836(f836(f224(x77411),x77412),x77413))+~P1(f836(f836(f224(f906(x77411,a895)),f836(f273(x77411),x77413)),f836(f273(x77411),x77412)))
% 190.77/190.68 [7742]~P108(x77421)+P1(f836(f836(f224(x77421),x77422),x77423))+~P1(f836(f836(f224(f906(x77421,a895)),f836(f272(x77421),x77422)),f836(f272(x77421),x77423)))
% 190.77/190.68 [7743]~P109(x77431)+P1(f836(f836(f224(x77431),x77432),x77433))+~P1(f836(f836(f224(f906(x77431,a895)),f836(f291(x77431),x77432)),f836(f291(x77431),x77433)))
% 190.77/190.68 [7744]~P108(x77441)+P1(f836(f836(f225(x77441),x77442),x77443))+~P1(f836(f836(f225(f906(x77441,a895)),f836(f272(x77441),x77442)),f836(f272(x77441),x77443)))
% 190.77/190.68 [7767]~P65(x77671)+~P1(f836(f836(f224(x77671),f836(f836(f23(x77671),x77672),x77673)),f2(x77671)))+P1(f836(f836(f224(x77671),x77672),x77673))
% 190.77/190.68 [7768]~P65(x77681)+~P1(f836(f836(f225(x77681),f836(f836(f23(x77681),x77682),x77683)),f2(x77681)))+P1(f836(f836(f225(x77681),x77682),x77683))
% 190.77/190.68 [7925]E(x79251,f2(a899))+~E(f836(f132(a899,a899,f74(a899),x79252),x79253),f2(a899))+~P1(f836(f836(f318(a899),x79251),f836(f162(a899),x79253)))
% 190.77/190.68 [7929]~P5(x79291)+~P1(f836(f836(f224(x79291),f592(x79293,x79292,x79291)),x79293))+P1(f836(f836(f224(x79291),f32(x79291,x79292)),x79293))
% 190.77/190.68 [8083]P1(f836(f836(f224(a1),f2(a1)),f855(x80831,x80832,x80833)))+P1(f836(f836(x80832,f836(f836(f31(a1),x80831),x80833)),f41(a1,x80831,x80833)))+~P1(f836(f836(f225(a1),f2(a1)),x80833))
% 190.77/190.68 [8171]E(x81711,x81712)+~E(f836(f179(f900(x81713)),x81711),f836(f179(f900(x81713)),x81712))+~P1(f836(f836(f247(x81713,x81713,a895),a314),f639(x81713,x81711,x81712)))
% 190.77/190.68 [8242]~P36(x82422,x82423)+E(x82421,f178(f906(x82422,a895)))+~P1(f836(f836(f224(f906(x82422,a895)),x82421),f836(f275(x82422,x82422,x82423),x82421)))
% 190.77/190.68 [8273]~P64(x82731)+~P1(f836(f836(f224(x82731),x82732),f836(f836(f74(x82731),x82733),f747(x82733,x82732,x82731))))+P1(f836(f836(f224(x82731),x82732),x82733))
% 190.77/190.68 [8308]P52(x83081,x83082,x83083)+P1(f836(f836(f318(x83081),f507(x83083,x83082,x83081)),x83082))+P1(f836(f836(f318(f905(x83081,x83081)),f508(x83083,x83082,x83081)),x83083))
% 190.77/190.68 [8329]P1(f836(f836(x83292,f836(f836(f31(a1),x83291),x83293)),f41(a1,x83291,x83293)))+~P1(f836(f836(f225(a1),f2(a1)),x83293))+P1(f836(f836(f225(a1),f855(x83291,x83292,x83293)),x83293))
% 190.77/190.68 [8354]E(f836(f300(a899,a899,f836(f836(f7(a899,a899,a899),f23(a899)),x83541)),f836(f292(a899,x83542),x83543)),f178(f906(a899,a895)))+P1(f836(f836(f225(a899),x83541),x83543))+P1(f836(f836(f225(a899),x83542),x83543))
% 190.77/190.68 [8465]E(f836(f300(a899,a899,f836(f836(f7(a899,a899,a899),f23(a899)),x84651)),f836(f292(a899,x84652),x84653)),f836(f836(f299(a899),f2(a899)),f178(f906(a899,a895))))+P1(f836(f836(f225(a899),x84651),x84653))+~P1(f836(f836(f225(a899),x84652),x84653))
% 190.77/190.68 [8479]~P108(x84791)+E(f139(x84791,x84791,f5(x84791),x84792,x84793),x84793)+~P1(f836(f836(f318(x84791),x84792),f836(f162(x84791),x84793)))
% 190.77/190.68 [8492]P24(x84921,x84921,x84922,x84923)+~P1(f836(f29(x84921),x84923))+~P1(f836(f836(f224(f906(x84921,a895)),x84923),f836(f300(x84921,x84921,x84922),x84923)))
% 190.77/190.68 [8518]E(f836(f836(f74(a1),f836(f836(f75(a1),x85181),f856(x85182,x85183,x85181))),f855(x85182,x85183,x85181)),x85182)+P1(f836(f836(x85183,f836(f836(f31(a1),x85182),x85181)),f41(a1,x85182,x85181)))+~P1(f836(f836(f225(a1),f2(a1)),x85181))
% 190.77/190.68 [8755]~P1(f836(f836(x87551,f856(x87552,x87551,x87553)),f855(x87552,x87551,x87553)))+P1(f836(f836(x87551,f836(f836(f31(a1),x87552),x87553)),f41(a1,x87552,x87553)))+~P1(f836(f836(f225(a1),f2(a1)),x87553))
% 190.77/190.68 [9653]~P1(f836(f29(x96531),x96532))+~P1(f836(f836(f318(x96531),x96533),x96532))+P1(f836(f836(f225(a899),f836(f30(x96531),f836(f836(f23(f906(x96531,a895)),x96532),f836(f836(f299(x96531),x96533),f178(f906(x96531,a895)))))),f836(f30(x96531),x96532)))
% 190.77/190.68 [10253]P52(x102531,x102532,x102533)+~P1(f836(f836(f247(x102531,x102531,a895),f836(f836(f7(x102531,f906(x102531,a895),f906(x102531,a895)),f836(f836(f8(f906(a895,a895),f906(f906(x102531,a895),f906(x102531,a895)),x102531),f8(a895,a895,x102531)),f836(f836(f8(a895,f906(a895,a895),x102531),a315),f836(f836(f7(x102531,f906(x102531,a895),a895),f318(x102531)),x102532)))),f836(f836(f7(x102531,f906(x102531,a895),a895),f318(x102531)),x102532))),f508(x102533,x102532,x102531)))+P1(f836(f836(f318(x102531),f507(x102533,x102532,x102531)),x102532))
% 190.77/190.68 [5545]~P122(x55452)+E(x55451,f2(x55452))+E(f836(f836(f281(x55452),x55453),f836(f73(x55452),x55451)),f836(f73(x55452),f836(f836(f281(x55452),x55453),x55451)))
% 190.77/190.68 [5685]~E(x56853,f178(f906(x56851,a895)))+~E(x56852,f178(f906(x56851,a895)))+E(f836(f836(f91(f906(x56851,a895)),x56852),x56853),f178(f906(x56851,a895)))
% 190.77/190.68 [5743]~E(x57433,f2(a899))+~P1(f836(x57431,f2(a899)))+P1(f836(x57431,f836(f836(f31(a899),x57432),x57433)))
% 190.77/190.68 [5895]~P64(x58952)+E(x58951,f2(x58952))+E(f836(f836(f281(x58952),f836(f70(x58952),x58953)),f836(f70(x58952),x58951)),f836(f70(x58952),f836(f836(f281(x58952),x58953),x58951)))
% 190.77/190.68 [5994]~P112(x59941)+~E(x59942,f72(x59941))+P1(f836(f836(f277(x59941),x59942),f836(f836(f234(x59941),x59942),x59943)))
% 190.77/190.68 [6015]~P3(x60151)+E(f836(f836(f75(x60151),x60152),f836(f836(f31(x60151),x60153),x60152)),x60153)+~P1(f836(f836(f277(x60151),x60152),x60153))
% 190.77/190.68 [6070]~P1(f836(f29(x60701),x60703))+E(f836(f30(x60701),f836(f836(f299(x60701),x60702),x60703)),f836(a102,f836(f30(x60701),x60703)))+P1(f836(f836(f318(x60701),x60702),x60703))
% 190.77/190.68 [6147]~E(x61472,f2(a899))+P1(f836(x61471,f2(a899)))+~P1(f836(x61471,f836(f836(f31(a899),x61473),x61472)))
% 190.77/190.68 [6164]~P1(f836(f29(x61641),x61643))+E(f836(f30(x61641),f836(f836(f299(x61641),x61642),x61643)),f836(f30(x61641),x61643))+~P1(f836(f836(f318(x61641),x61642),x61643))
% 190.77/190.68 [6200]~P1(f836(f29(x62001),x62003))+E(f836(f30(x62001),f836(f836(f299(x62001),x62002),x62003)),f836(f836(f74(a899),f72(a899)),f836(f30(x62001),x62003)))+P1(f836(f836(f318(x62001),x62002),x62003))
% 190.77/190.68 [6207]~P4(x62071)+E(f836(f836(f31(x62071),x62072),f836(f73(x62071),x62073)),f836(f73(x62071),f836(f836(f31(x62071),x62072),x62073)))+~P1(f836(f836(f277(x62071),x62073),x62072))
% 190.77/190.68 [6321]E(f836(f836(f74(a899),x63211),f351(x63211,x63212,x63213)),x63212)+~P1(f836(x63213,f2(a899)))+P1(f836(x63213,f836(f836(f23(a899),x63212),x63211)))
% 190.77/190.68 [6322]E(f836(f836(f74(a899),x63221),f355(x63221,x63222,x63223)),x63222)+~P1(f836(x63223,f2(a899)))+P1(f836(x63223,f836(f836(f23(a899),x63222),x63221)))
% 190.77/190.68 [6347]~P4(x63471)+E(f836(f836(f31(x63471),f836(f73(x63471),x63472)),x63473),f836(f73(x63471),f836(f836(f31(x63471),x63472),x63473)))+~P1(f836(f836(f277(x63471),x63473),x63472))
% 190.77/190.68 [6371]~P5(x63711)+~P1(f836(f29(x63711),x63713))+E(f836(f836(f59(x63711,x63711,f91(x63711)),x63712),x63713),f836(f836(f91(x63711),x63712),f32(x63711,x63713)))
% 190.77/190.68 [6372]~P5(x63721)+~P1(f836(f29(x63721),x63723))+E(f836(f836(f59(x63721,x63721,f92(x63721)),x63722),x63723),f836(f836(f92(x63721),x63722),f33(x63721,x63723)))
% 190.77/190.68 [6378]~P94(x63781)+~E(f836(f94(x63781),x63782),f836(f94(x63781),x63783))+P27(x63781,f836(f94(x63781),f836(f836(f74(a1),x63782),f836(f73(a1),x63783))))
% 190.77/190.68 [6388]~P128(x63881)+E(f836(f836(f23(x63881),f836(f90(x63881),x63882)),f836(f90(x63881),x63883)),f836(f90(x63881),f836(f836(f23(a899),x63882),x63883)))+~P1(f836(f836(f224(a899),x63883),x63882))
% 190.77/190.68 [6395]~P114(x63951)+~P1(f836(f836(f277(x63951),x63952),x63953))+P1(f836(f836(f277(x63951),f836(f73(x63951),x63952)),x63953))
% 190.77/190.68 [6396]~P111(x63961)+~P1(f836(f836(f277(x63961),x63962),x63963))+P1(f836(f836(f277(x63961),f836(f70(x63961),x63962)),x63963))
% 190.77/190.68 [6480]E(f836(f836(f74(a899),x64801),f351(x64801,x64802,x64803)),x64802)+P1(f836(f836(f225(a899),x64802),x64801))+P1(f836(x64803,f836(f836(f23(a899),x64802),x64801)))
% 190.77/190.68 [6481]E(f836(f836(f74(a899),x64811),f355(x64811,x64812,x64813)),x64812)+P1(f836(f836(f225(a899),x64812),x64811))+P1(f836(x64813,f836(f836(f23(a899),x64812),x64811)))
% 190.77/190.68 [6497]~P111(x64971)+E(f836(f836(f75(x64971),f836(f70(x64971),x64972)),x64973),f836(f70(x64971),f836(f836(f75(x64971),x64972),x64973)))+~P1(f836(f836(f224(x64971),f2(x64971)),x64973))
% 190.77/190.68 [6498]~P63(x64981)+E(f836(f836(f281(x64981),f836(f70(x64981),x64982)),x64983),f836(f70(x64981),f836(f836(f281(x64981),x64982),x64983)))+~P1(f836(f836(f225(x64981),f2(x64981)),x64983))
% 190.77/190.68 [6507]~P108(x65071)+~P1(f836(f29(x65071),x65073))+E(f836(f836(f59(x65071,x65071,f228(x65071)),x65072),x65073),f14(x65071,f836(f836(f299(x65071),x65072),x65073)))
% 190.77/190.68 [6508]~P108(x65081)+~P1(f836(f29(x65081),x65083))+E(f836(f836(f59(x65081,x65081,f223(x65081)),x65082),x65083),f15(x65081,f836(f836(f299(x65081),x65082),x65083)))
% 190.77/190.68 [6509]~P99(x65091)+~P1(f836(f29(x65091),x65093))+E(f836(f836(f59(x65091,x65091,f91(x65091)),x65092),x65093),f13(x65091,f836(f836(f299(x65091),x65092),x65093)))
% 190.77/190.68 [6510]~P99(x65101)+~P1(f836(f29(x65101),x65103))+E(f836(f836(f59(x65101,x65101,f92(x65101)),x65102),x65103),f10(x65101,f836(f836(f299(x65101),x65102),x65103)))
% 190.77/190.68 [6556]E(x65561,f103(x65562))+~E(f169(x65562,x65563),f103(f900(x65562)))+~P1(f836(f836(f318(f900(x65562)),x65561),f836(f162(f900(x65562)),x65563)))
% 190.77/190.68 [6575]~P112(x65751)+~P1(f836(f836(f225(a899),f2(a899)),x65753))+P1(f836(f836(f277(x65751),x65752),f836(f836(f234(x65751),x65752),x65753)))
% 190.77/190.68 [6603]~P1(f836(f127(x66031),x66033))+P1(f836(f836(f318(x66031),x66032),f836(f162(x66031),x66033)))+P1(f836(f127(x66031),f836(f836(f141(x66031),x66032),x66033)))
% 190.77/190.68 [6614]~P97(x66141)+~P1(f836(f29(x66141),x66143))+E(f836(f58(x66141,f75(x66141)),f836(f836(f299(x66141),x66142),x66143)),f836(f836(f59(x66141,x66141,f75(x66141)),x66142),x66143))
% 190.77/190.68 [6636]~P108(x66361)+~P1(f836(f29(x66361),x66363))+E(f11(x66361,f228(x66361),f836(f836(f299(x66361),x66362),x66363)),f836(f836(f59(x66361,x66361,f228(x66361)),x66362),x66363))
% 190.77/190.68 [6637]~P108(x66371)+~P1(f836(f29(x66371),x66373))+E(f12(x66371,f223(x66371),f836(f836(f299(x66371),x66372),x66373)),f836(f836(f59(x66371,x66371,f223(x66371)),x66372),x66373))
% 190.77/190.68 [6639]P1(f836(x66391,f2(a899)))+~P1(f836(f836(f225(a899),x66392),x66393))+~P1(f836(x66391,f836(f836(f23(a899),x66392),x66393)))
% 190.77/190.68 [6660]~P86(x66601)+P1(f836(f836(f224(x66601),x66602),x66603))+~P1(f836(f836(f224(x66601),f836(f70(x66601),x66602)),x66603))
% 190.77/190.68 [6661]~P111(x66611)+P1(f836(f836(f225(x66611),x66612),x66613))+~P1(f836(f836(f225(x66611),f836(f70(x66611),x66612)),x66613))
% 190.77/190.68 [6662]~P111(x66621)+P1(f836(f836(f277(x66621),x66622),x66623))+~P1(f836(f836(f277(x66621),f836(f70(x66621),x66622)),x66623))
% 190.77/190.68 [6663]~P114(x66631)+P1(f836(f836(f277(x66631),x66632),x66633))+~P1(f836(f836(f277(x66631),f836(f73(x66631),x66632)),x66633))
% 190.77/190.68 [6680]E(x66801,f103(x66802))+E(f836(f131(x66802),f836(f836(f128(x66802),x66803),x66801)),f836(f836(f154(x66802),x66801),x66803))+~P1(f836(f836(f225(a899),x66803),f836(f179(f900(x66802)),x66801)))
% 190.77/190.68 [6735]~P1(f836(x67351,x67353))+P1(f836(x67351,f352(x67351,x67352)))+~P1(f836(f836(f318(a899),x67353),f836(f292(a899,f2(a899)),x67352)))
% 190.77/190.68 [6755]P1(f836(x67551,x67552))+~P1(f836(f836(f225(a899),x67552),x67553))+P1(f836(f836(f318(a899),f349(x67551,x67553)),f836(f292(a899,f2(a899)),x67553)))
% 190.77/190.68 [6771]~P110(x67711)+~P1(f836(f836(f224(x67711),f2(x67711)),x67712))+P1(f836(f836(f224(x67711),f2(x67711)),f836(f836(f234(x67711),x67712),x67713)))
% 190.77/190.68 [6772]~P110(x67721)+~P1(f836(f836(f224(x67721),f72(x67721)),x67722))+P1(f836(f836(f224(x67721),f72(x67721)),f836(f836(f234(x67721),x67722),x67723)))
% 190.77/190.68 [6774]~P110(x67741)+~P1(f836(f836(f225(x67741),f2(x67741)),x67742))+P1(f836(f836(f225(x67741),f2(x67741)),f836(f836(f234(x67741),x67742),x67743)))
% 190.77/190.68 [6799]~P1(f836(x67991,x67993))+~P1(f836(f836(f225(a899),x67993),x67992))+P1(f836(f836(f318(a899),f345(x67991,x67992)),f836(f292(a899,f2(a899)),x67992)))
% 190.77/190.68 [6807]P1(f836(f29(x68071),x68072))+~P1(f836(f29(x68071),x68073))+~P1(f836(f836(f224(f906(x68071,a895)),x68072),x68073))
% 190.77/190.68 [6815]~P1(f836(f836(f277(a899),x68151),x68152))+~P1(f836(f836(f277(a899),x68151),x68153))+P1(f836(f836(f277(a899),x68151),f836(f836(f23(a899),x68152),x68153)))
% 190.77/190.68 [6816]P1(f836(x68161,x68162))+~P1(f836(x68161,f350(x68161,x68163)))+~P1(f836(f836(f318(a899),x68162),f836(f292(a899,f2(a899)),x68163)))
% 190.77/190.68 [6829]E(x68291,f2(a899))+P1(f836(x68292,f858(x68291,x68293,x68292)))+~P1(f836(x68292,f836(f836(f31(a899),x68293),x68291)))
% 190.77/190.68 [6837]~P126(x68372)+E(x68371,f2(x68372))+~E(f836(f836(f74(x68372),f836(f836(f75(x68372),x68373),x68373)),f836(f836(f75(x68372),x68371),x68371)),f2(x68372))
% 190.77/190.68 [6838]~P126(x68382)+E(x68381,f2(x68382))+~E(f836(f836(f74(x68382),f836(f836(f75(x68382),x68381),x68381)),f836(f836(f75(x68382),x68383),x68383)),f2(x68382))
% 190.77/190.68 [6884]E(x68841,f2(a899))+~P1(f836(x68842,f859(x68841,x68843,x68842)))+P1(f836(x68842,f836(f836(f31(a899),x68843),x68841)))
% 190.77/190.68 [6889]~P108(x68891)+~P13(x68891,x68893)+P13(x68891,f836(f836(f138(x68891,x68891,f5(x68891)),x68892),x68893))
% 190.77/190.68 [6931]P1(f836(x69311,f858(x69312,x69313,x69311)))+P1(f836(x69311,f2(a899)))+~P1(f836(x69311,f836(f836(f31(a899),x69313),x69312)))
% 190.77/190.68 [6937]~P94(x69371)+E(f836(f94(x69371),x69372),f836(f94(x69371),x69373))+~P27(x69371,f836(f94(x69371),f836(f836(f74(a1),x69372),f836(f73(a1),x69373))))
% 190.77/190.68 [7005]E(x70051,f2(a1))+E(x70052,f2(a1))+~P1(f836(f45(x70052,x70052),f836(f836(f242(a1,a1),x70053),x70051)))
% 190.77/190.68 [7006]E(x70061,f72(a1))+E(x70062,f2(a1))+~P1(f836(f45(x70062,x70062),f836(f836(f242(a1,a1),x70061),x70063)))
% 190.77/190.68 [7021]P1(f836(x70211,x70212))+P1(f836(f836(f225(a899),f350(x70211,x70213)),x70213))+~P1(f836(f836(f318(a899),x70212),f836(f292(a899,f2(a899)),x70213)))
% 190.77/190.68 [7044]~P1(f836(x70441,f351(x70443,x70442,x70441)))+~P1(f836(x70441,f2(a899)))+P1(f836(x70441,f836(f836(f23(a899),x70442),x70443)))
% 190.77/190.68 [7045]~P1(f836(x70451,f355(x70453,x70452,x70451)))+~P1(f836(x70451,f2(a899)))+P1(f836(x70451,f836(f836(f23(a899),x70452),x70453)))
% 190.77/190.68 [7046]~P1(f836(x70461,f859(x70463,x70462,x70461)))+~P1(f836(x70461,f2(a899)))+P1(f836(x70461,f836(f836(f31(a899),x70462),x70463)))
% 190.77/190.68 [7066]~P1(f836(x70661,x70663))+P1(f836(f836(f225(a899),f352(x70661,x70662)),x70662))+~P1(f836(f836(f318(a899),x70663),f836(f292(a899,f2(a899)),x70662)))
% 190.77/190.68 [7067]E(f836(f836(f23(a899),f836(f836(f23(a899),x70671),x70672)),f836(f836(f23(a899),x70673),x70672)),f836(f836(f23(a899),x70671),x70673))+~P1(f836(f836(f224(a899),x70672),x70671))+~P1(f836(f836(f224(a899),x70672),x70673))
% 190.77/190.68 [7103]~P65(x71031)+~P1(f836(f836(f224(x71031),f836(f73(x71031),x71033)),x71032))+P1(f836(f836(f224(x71031),f836(f73(x71031),x71032)),x71033))
% 190.77/190.68 [7105]~P86(x71051)+~P1(f836(f836(f224(x71051),f836(f70(x71051),x71052)),x71053))+P1(f836(f836(f224(x71051),f836(f73(x71051),x71052)),x71053))
% 190.77/190.68 [7107]~P65(x71071)+~P1(f836(f836(f225(x71071),f836(f73(x71071),x71073)),x71072))+P1(f836(f836(f225(x71071),f836(f73(x71071),x71072)),x71073))
% 190.77/190.68 [7108]~P111(x71081)+~P1(f836(f836(f225(x71081),f836(f70(x71081),x71082)),x71083))+P1(f836(f836(f225(x71081),f836(f73(x71081),x71082)),x71083))
% 190.77/190.68 [7140]~P1(f836(x71403,f351(x71402,x71401,x71403)))+P1(f836(f836(f225(a899),x71401),x71402))+P1(f836(x71403,f836(f836(f23(a899),x71401),x71402)))
% 190.77/190.68 [7141]~P1(f836(x71413,f355(x71412,x71411,x71413)))+P1(f836(f836(f225(a899),x71411),x71412))+P1(f836(x71413,f836(f836(f23(a899),x71411),x71412)))
% 190.77/190.68 [7193]~E(f597(x71933,x71932,x71931),f598(x71933,x71932,x71931))+E(f836(f836(f92(f906(x71931,a895)),x71932),f32(f906(x71931,a895),x71933)),f178(f906(x71931,a895)))+P1(f836(f836(f318(f906(x71931,a895)),x71932),x71933))
% 190.77/190.68 [7201]~P1(f836(f29(x72011),x72013))+P1(f836(f29(x72011),f33(f906(x72011,a895),x72012)))+~P1(f836(f836(f318(f906(x72011,a895)),x72013),x72012))
% 190.77/190.68 [7261]~P108(x72611)+E(f836(f836(f91(f906(x72611,a895)),f836(f292(x72611,x72612),x72613)),f836(f836(f299(x72611),x72613),f178(f906(x72611,a895)))),f293(x72611,x72612,x72613))+~P1(f836(f836(f224(x72611),x72612),x72613))
% 190.77/190.68 [7264]E(x72641,f2(a899))+P1(f836(f836(f225(a899),f860(x72641,x72643,x72642)),x72641))+P1(f836(x72642,f836(f836(f31(a899),x72643),x72641)))
% 190.77/190.68 [7293]P1(f836(f836(f225(a899),f836(f179(f900(x72931)),x72932)),f757(x72933,x72931)))+~P1(f836(f29(f900(x72931)),x72933))+~P1(f836(f836(f318(f900(x72931)),x72932),x72933))
% 190.77/190.68 [7299]E(x72991,x72992)+~P1(f836(f836(f224(f906(x72993,a895)),x72991),x72992))+P1(f836(f836(f225(f906(x72993,a895)),x72991),x72992))
% 190.77/190.68 [7310]E(x73101,x73102)+~E(f836(f179(f900(x73103)),x73101),f836(f179(f900(x73103)),x73102))+P1(f836(f836(f225(a899),f632(x73103,x73101,x73102)),f836(f179(f900(x73103)),x73102)))
% 190.77/190.68 [7359]P8(x73591,x73592,x73593)+~E(f836(f254(x73591,x73591),x73593),x73592)+~E(f836(f836(f279(x73591,x73591,x73591),f836(f276(x73591,x73591),x73593)),x73593),x73593)
% 190.77/190.68 [7439]~P1(f836(x74391,f2(a899)))+P1(f836(f836(f225(a899),f860(x74393,x74392,x74391)),x74393))+P1(f836(x74391,f836(f836(f31(a899),x74392),x74393)))
% 190.77/190.68 [7449]~P108(x74491)+E(f836(f836(f91(f906(x74491,a895)),f296(x74491,x74492,x74493)),f836(f836(f299(x74491),x74493),f178(f906(x74491,a895)))),f295(x74491,x74492,x74493))+~P1(f836(f836(f225(x74491),x74492),x74493))
% 190.77/190.68 [7541]~P1(f836(f29(x75411),x75413))+P1(f836(f836(f224(a899),f836(f30(x75411),x75412)),f836(f30(x75411),x75413)))+~P1(f836(f836(f224(f906(x75411,a895)),x75412),x75413))
% 190.77/190.68 [7542]~P1(f836(f29(x75421),x75423))+P1(f836(f836(f225(a899),f836(f30(x75421),x75422)),f836(f30(x75421),x75423)))+~P1(f836(f836(f225(f906(x75421,a895)),x75422),x75423))
% 190.77/190.68 [7675]E(x76751,x76752)+~P1(f836(f836(f224(f906(x76753,a895)),x76752),x76751))+~P1(f836(f836(f224(f906(x76753,a895)),x76751),x76752))
% 190.77/190.68 [7678]~P108(x76781)+P13(x76781,x76782)+~P13(x76781,f836(f836(f138(x76781,x76781,f5(x76781)),x76783),x76782))
% 190.77/190.68 [7749]~P1(f836(f836(f225(a899),x77493),x77492))+~P1(f836(f836(f225(a899),x77493),x77491))+P1(f836(f836(f225(a899),f836(f836(f23(a899),x77491),x77492)),f836(f836(f23(a899),x77491),x77493)))
% 190.77/190.68 [7750]~P1(f836(f836(f224(a899),x77502),x77501))+~P1(f836(f836(f225(a899),x77501),x77503))+P1(f836(f836(f225(a899),f836(f836(f23(a899),x77501),x77502)),f836(f836(f23(a899),x77503),x77502)))
% 190.77/190.68 [7765]~P1(f836(f836(f225(a1),x77652),f2(a1)))+~P1(f836(f836(f224(a1),x77653),x77651))+P1(f836(f836(f224(a1),f836(f836(f31(a1),x77651),x77652)),f836(f836(f31(a1),x77653),x77652)))
% 190.77/190.68 [7782]~P1(f836(f836(f225(a899),f2(a899)),x77823))+~P1(f836(f836(f224(a899),x77823),x77822))+P1(f836(f836(f224(a899),f836(f836(f31(a899),x77821),x77822)),f836(f836(f31(a899),x77821),x77823)))
% 190.77/190.68 [7783]~P1(f836(f836(f225(a1),f2(a1)),x77832))+~P1(f836(f836(f224(a1),x77831),x77833))+P1(f836(f836(f224(a1),f836(f836(f31(a1),x77831),x77832)),f836(f836(f31(a1),x77833),x77832)))
% 190.77/190.68 [7787]~P1(f836(f836(f225(a899),f2(a899)),x77872))+~P1(f836(f836(f225(a899),x77871),x77873))+P1(f836(f836(f225(a899),f836(f836(f75(a899),x77871),x77872)),f836(f836(f75(a899),x77873),x77872)))
% 190.77/190.68 [7788]~P1(f836(f836(f225(a899),f2(a899)),x77881))+~P1(f836(f836(f225(a899),x77882),x77883))+P1(f836(f836(f225(a899),f836(f836(f75(a899),x77881),x77882)),f836(f836(f75(a899),x77881),x77883)))
% 190.77/190.68 [7789]~P1(f836(f836(f225(a1),f2(a1)),x77891))+~P1(f836(f836(f225(a1),x77892),x77893))+P1(f836(f836(f225(a1),f836(f836(f75(a1),x77891),x77892)),f836(f836(f75(a1),x77891),x77893)))
% 190.77/190.68 [7838]E(x78381,f2(a899))+E(f836(f836(f74(a899),f836(f836(f75(a899),x78381),f859(x78381,x78382,x78383))),f860(x78381,x78382,x78383)),x78382)+P1(f836(x78383,f836(f836(f31(a899),x78382),x78381)))
% 190.77/190.68 [7898]E(f836(f836(f74(a899),f836(f836(f75(a899),x78981),f859(x78981,x78982,x78983))),f860(x78981,x78982,x78983)),x78982)+~P1(f836(x78983,f2(a899)))+P1(f836(x78983,f836(f836(f31(a899),x78982),x78981)))
% 190.77/190.68 [7916]~P1(f836(f29(x79161),x79163))+P1(f836(f836(f318(x79161),f867(x79162,x79163,x79161)),x79163))+P1(f836(f836(f225(a899),f2(a899)),f836(f836(f9(x79161,a899),x79162),x79163)))
% 190.77/190.68 [7917]~P1(f836(f29(x79171),x79173))+P1(f836(f836(f318(x79171),f478(x79172,x79173,x79171)),x79173))+P1(f836(f836(f225(a899),f2(a899)),f836(f836(f9(x79171,a899),x79172),x79173)))
% 190.77/190.68 [8017]E(x80171,f2(a899))+P1(f836(f836(f277(a899),x80172),x80173))+~P1(f836(f836(f277(a899),f836(f836(f75(a899),x80171),x80172)),f836(f836(f75(a899),x80171),x80173)))
% 190.77/190.68 [8207]E(x82071,f178(f906(x82072,a895)))+E(x82071,f836(f836(f299(x82072),x82073),f178(f906(x82072,a895))))+~P1(f836(f836(f224(f906(x82072,a895)),x82071),f836(f836(f299(x82072),x82073),f178(f906(x82072,a895)))))
% 190.77/190.68 [8244]~P1(f836(f836(f225(a899),f2(a899)),x82443))+P1(f836(f836(f224(a899),x82441),x82442))+~P1(f836(f836(f224(a899),f836(f836(f75(a899),x82443),x82441)),f836(f836(f75(a899),x82443),x82442)))
% 190.77/190.68 [8245]~P1(f836(f836(f225(a899),f72(a899)),x82453))+P1(f836(f836(f224(a899),x82451),x82452))+~P1(f836(f836(f277(a899),f836(f836(f234(a899),x82453),x82451)),f836(f836(f234(a899),x82453),x82452)))
% 190.77/190.68 [8246]~P1(f836(f836(f225(a899),f2(a899)),x82463))+P1(f836(f836(f224(a899),x82461),x82462))+~P1(f836(f836(f224(a899),f836(f836(f75(a899),x82461),x82463)),f836(f836(f75(a899),x82462),x82463)))
% 190.77/190.68 [8248]~P1(f836(f836(f225(a899),f2(a899)),x82483))+P1(f836(f836(f225(a899),x82481),x82482))+~P1(f836(f836(f225(a899),f836(f836(f234(a899),x82483),x82481)),f836(f836(f234(a899),x82483),x82482)))
% 190.77/190.68 [8250]~P1(f836(f836(f225(a899),f2(a899)),x82503))+P1(f836(f836(f277(a899),x82501),x82502))+~P1(f836(f836(f277(a899),f836(f836(f75(a899),x82503),x82501)),f836(f836(f75(a899),x82503),x82502)))
% 190.77/190.68 [8289]~E(f836(f836(f92(f906(x82891,a895)),f598(x82893,x82892,x82891)),f597(x82893,x82892,x82891)),f178(f906(x82891,a895)))+E(f836(f836(f92(f906(x82891,a895)),x82892),f32(f906(x82891,a895),x82893)),f178(f906(x82891,a895)))+P1(f836(f836(f318(f906(x82891,a895)),x82892),x82893))
% 190.77/190.68 [8303]E(x83031,f103(x83032))+~E(f836(f132(f900(x83032),f900(x83032),f124(x83032),f103(x83032)),x83033),f103(x83032))+~P1(f836(f836(f318(f900(x83032)),x83031),f836(f162(f900(x83032)),x83033)))
% 190.77/190.68 [8359]E(x83591,f178(f906(f906(x83592,a895),a895)))+P1(f836(f836(f318(f906(x83592,a895)),f601(x83593,x83591,x83592)),x83591))+P1(f836(f836(f224(f906(x83592,a895)),f33(f906(x83592,a895),x83591)),x83593))
% 190.77/190.68 [8365]~P73(x83651)+~P74(x83651)+E(f836(f836(f9(a1,x83651),f836(f836(f8(a899,x83651,a1),x83652),a95)),f836(f300(a899,a1,f90(a1)),x83653)),f836(f836(f9(a899,x83651),x83652),x83653))
% 190.77/190.68 [8366]~P73(x83661)+~P74(x83661)+E(f836(f836(f6(a1,x83661),f836(f836(f8(a899,x83661,a1),x83662),a95)),f836(f300(a899,a1,f90(a1)),x83663)),f836(f836(f6(a899,x83661),x83662),x83663))
% 190.77/190.68 [8408]~P1(f836(f29(x84081),x84083))+~P1(f836(f836(f225(a899),f2(a899)),f836(x84082,f867(x84082,x84083,x84081))))+P1(f836(f836(f225(a899),f2(a899)),f836(f836(f9(x84081,a899),x84082),x84083)))
% 190.77/190.68 [8409]~P1(f836(f29(x84091),x84093))+~P1(f836(f836(f225(a899),f2(a899)),f836(x84092,f478(x84092,x84093,x84091))))+P1(f836(f836(f225(a899),f2(a899)),f836(f836(f9(x84091,a899),x84092),x84093)))
% 190.77/190.68 [8445]~P62(x84452)+E(x84451,f72(x84452))+E(f836(f836(f281(x84452),f836(f836(f23(x84452),f836(f836(f234(x84452),x84451),x84453)),f72(x84452))),f836(f836(f23(x84452),x84451),f72(x84452))),f836(f836(f6(a899,x84452),f836(f234(x84452),x84451)),f836(f292(a899,f2(a899)),x84453)))
% 190.77/190.68 [8503]E(x85031,f2(a899))+~P1(f836(x85033,f836(f836(f31(a899),x85032),x85031)))+P1(f836(f836(f225(a899),x85032),f836(f836(f75(a899),x85031),f836(a102,f858(x85031,x85032,x85033)))))
% 190.77/190.68 [8522]P1(f836(x85221,f2(a899)))+~P1(f836(x85221,f836(f836(f31(a899),x85222),x85223)))+P1(f836(f836(f225(a899),x85222),f836(f836(f75(a899),x85223),f836(a102,f858(x85223,x85222,x85221)))))
% 190.77/190.68 [8560]E(x85601,f2(a899))+~P1(f836(x85603,f836(f836(f31(a899),x85602),x85601)))+P1(f836(f836(f224(a899),f836(f836(f75(a899),x85601),f858(x85601,x85602,x85603))),x85602))
% 190.77/190.68 [8591]P1(f836(x85911,f2(a899)))+~P1(f836(x85911,f836(f836(f31(a899),x85913),x85912)))+P1(f836(f836(f224(a899),f836(f836(f75(a899),x85912),f858(x85912,x85913,x85911))),x85913))
% 190.77/190.68 [8599]~P108(x85991)+E(f836(f836(f138(x85991,x85991,f5(x85991)),x85992),x85993),f139(x85991,x85991,f5(x85991),x85992,x85993))+P1(f836(f836(f318(x85991),x85992),f836(f162(x85991),x85993)))
% 190.77/190.68 [8634]~E(f836(x86343,f520(x86342,x86343,x86341)),f836(x86343,f523(x86342,x86343,x86341)))+~P59(x86341,f836(x86343,f521(x86342,x86343,x86341)))+P59(x86341,f836(f836(f35(x86342,f906(x86341,f906(x86341,a895))),f232(f906(x86342,a895))),x86343))
% 190.77/190.68 [8643]E(x86431,f178(f906(f906(x86432,a895),a895)))+~P1(f836(f836(f224(f906(x86432,a895)),f601(x86433,x86431,x86432)),x86433))+P1(f836(f836(f224(f906(x86432,a895)),f33(f906(x86432,a895),x86431)),x86433))
% 190.77/190.68 [8703]~P64(x87031)+~P1(f836(f836(f225(x87031),x87032),x87033))+P1(f836(f836(f225(x87031),x87032),f836(f836(f281(x87031),f836(f836(f74(x87031),x87032),x87033)),f836(f836(f74(x87031),f72(x87031)),f72(x87031)))))
% 190.77/190.68 [8761]~P1(f836(f836(x87611,f873(x87611,x87613,x87612)),f876(x87611,x87613,x87612)))+P1(f836(f836(x87611,x87612),x87613))+~P1(f836(f305(f905(a1,a1),a48),f836(f836(f242(a1,a1),x87612),x87613)))
% 190.77/190.68 [8762]~P1(f836(f836(x87621,f877(x87621,x87623,x87622)),f878(x87621,x87623,x87622)))+P1(f836(f836(x87621,x87622),x87623))+~P1(f836(f305(f905(a1,a1),a54),f836(f836(f242(a1,a1),x87622),x87623)))
% 190.77/190.68 [8763]~P1(f836(f836(x87631,f882(x87631,x87633,x87632)),f883(x87631,x87633,x87632)))+P1(f836(f836(x87631,x87632),x87633))+~P1(f836(f305(f905(a1,a1),a211),f836(f836(f242(a1,a1),x87632),x87633)))
% 190.77/190.68 [8764]~P1(f836(f836(x87641,f445(x87641,x87643,x87642)),f449(x87641,x87643,x87642)))+P1(f836(f836(x87641,x87642),x87643))+~P1(f836(f305(f905(a899,a899),a209),f836(f836(f242(a899,a899),x87642),x87643)))
% 190.77/190.68 [8765]~P1(f836(f836(x87651,f652(x87651,x87653,x87652)),f654(x87651,x87653,x87652)))+P1(f836(f836(x87651,x87652),x87653))+~P1(f836(f305(f905(a1,a1),a172),f836(f836(f242(a1,a1),x87652),x87653)))
% 190.77/190.68 [8766]~P1(f836(f836(x87661,f750(x87661,x87663,x87662)),f751(x87661,x87663,x87662)))+P1(f836(f836(x87661,x87662),x87663))+~P1(f836(f305(f905(a1,a1),a123),f836(f836(f242(a1,a1),x87662),x87663)))
% 190.77/190.68 [9039]P1(f836(f836(x90391,x90392),x90393))+P1(f836(f305(f905(a899,a899),a209),f836(f836(f242(a899,a899),f445(x90391,x90393,x90392)),f449(x90391,x90393,x90392))))+~P1(f836(f305(f905(a899,a899),a209),f836(f836(f242(a899,a899),x90392),x90393)))
% 190.77/190.68 [9040]P1(f836(f836(x90401,x90402),x90403))+P1(f836(f305(f905(a1,a1),a48),f836(f836(f242(a1,a1),f873(x90401,x90403,x90402)),f876(x90401,x90403,x90402))))+~P1(f836(f305(f905(a1,a1),a48),f836(f836(f242(a1,a1),x90402),x90403)))
% 190.77/190.68 [9041]P1(f836(f836(x90411,x90412),x90413))+P1(f836(f305(f905(a1,a1),a54),f836(f836(f242(a1,a1),f877(x90411,x90413,x90412)),f878(x90411,x90413,x90412))))+~P1(f836(f305(f905(a1,a1),a54),f836(f836(f242(a1,a1),x90412),x90413)))
% 190.77/190.68 [9042]P1(f836(f836(x90421,x90422),x90423))+P1(f836(f305(f905(a1,a1),a211),f836(f836(f242(a1,a1),f882(x90421,x90423,x90422)),f883(x90421,x90423,x90422))))+~P1(f836(f305(f905(a1,a1),a211),f836(f836(f242(a1,a1),x90422),x90423)))
% 190.77/190.68 [9043]P1(f836(f836(x90431,x90432),x90433))+P1(f836(f305(f905(a1,a1),a172),f836(f836(f242(a1,a1),f652(x90431,x90433,x90432)),f654(x90431,x90433,x90432))))+~P1(f836(f305(f905(a1,a1),a172),f836(f836(f242(a1,a1),x90432),x90433)))
% 190.77/190.68 [9044]P1(f836(f836(x90441,x90442),x90443))+P1(f836(f305(f905(a1,a1),a123),f836(f836(f242(a1,a1),f750(x90441,x90443,x90442)),f751(x90441,x90443,x90442))))+~P1(f836(f305(f905(a1,a1),a123),f836(f836(f242(a1,a1),x90442),x90443)))
% 190.77/190.68 [9381]~P1(f836(f29(x93811),x93813))+P1(f836(f836(f318(f905(f906(x93811,a895),f906(x93811,a895))),f836(f836(f242(f906(x93811,a895),f906(x93811,a895)),x93812),x93813)),f304(x93811)))+~P1(f836(f836(f225(f906(x93811,a895)),x93812),x93813))
% 190.77/190.68 [9456]~P59(x94561,f836(x94563,f521(x94562,x94563,x94561)))+P59(x94561,f836(f836(f35(x94562,f906(x94561,f906(x94561,a895))),f232(f906(x94562,a895))),x94563))+~E(f836(f836(f92(f906(x94561,a895)),f239(x94561,x94561,f836(x94563,f520(x94562,x94563,x94561)))),f240(x94561,x94561,f836(x94563,f523(x94562,x94563,x94561)))),f178(f906(x94561,a895)))
% 190.77/190.68 [9666]P52(x96661,x96662,x96663)+P1(f836(f836(f318(f905(x96661,x96661)),f508(x96663,x96662,x96661)),x96663))+~P1(f836(f836(f318(f905(x96661,x96661)),f836(f836(f242(x96661,x96661),f507(x96663,x96662,x96661)),f507(x96663,x96662,x96661))),x96663))
% 190.77/190.68 [10256]P52(x102561,x102562,x102563)+~P1(f836(f836(f247(x102561,x102561,a895),f836(f836(f7(x102561,f906(x102561,a895),f906(x102561,a895)),f836(f836(f8(f906(a895,a895),f906(f906(x102561,a895),f906(x102561,a895)),x102561),f8(a895,a895,x102561)),f836(f836(f8(a895,f906(a895,a895),x102561),a315),f836(f836(f7(x102561,f906(x102561,a895),a895),f318(x102561)),x102562)))),f836(f836(f7(x102561,f906(x102561,a895),a895),f318(x102561)),x102562))),f508(x102563,x102562,x102561)))+~P1(f836(f836(f318(f905(x102561,x102561)),f836(f836(f242(x102561,x102561),f507(x102563,x102562,x102561)),f507(x102563,x102562,x102561))),x102563))
% 190.77/190.68 [5725]~P3(x57252)+E(x57251,f2(x57252))+E(f836(f836(f31(x57252),f836(f836(f75(x57252),x57253),x57251)),x57251),x57253)
% 190.77/190.68 [5726]~P3(x57262)+E(x57261,f2(x57262))+E(f836(f836(f31(x57262),f836(f836(f75(x57262),x57261),x57263)),x57261),x57263)
% 190.77/190.68 [6389]~P3(x63891)+E(f836(f836(f75(x63891),f836(f836(f31(x63891),x63892),x63893)),x63893),x63892)+~P1(f836(f836(f277(x63891),x63893),x63892))
% 190.77/190.68 [6555]~P73(x65551)+~E(f836(x65552,f2(a899)),f2(x65551))+E(f836(f836(f6(a899,x65551),x65552),f836(f292(a899,f836(a102,f2(a899))),x65553)),f836(f836(f6(a899,x65551),x65552),f836(f292(a899,f2(a899)),x65553)))
% 190.77/190.68 [6693]~P3(x66932)+E(x66931,f2(x66932))+E(f836(f836(f31(x66932),f836(f836(f74(x66932),x66933),x66931)),x66931),f836(f836(f74(x66932),f836(f836(f31(x66932),x66933),x66931)),f72(x66932)))
% 190.77/190.68 [6694]~P3(x66942)+E(x66941,f2(x66942))+E(f836(f836(f31(x66942),f836(f836(f74(x66942),x66941),x66943)),x66941),f836(f836(f74(x66942),f836(f836(f31(x66942),x66943),x66941)),f72(x66942)))
% 190.77/190.68 [6920]~P1(f836(x69203,f2(a1)))+P1(f836(f836(f224(a899),x69201),x69202))+P1(f836(x69203,f836(f90(a1),f836(f836(f23(a899),x69202),x69201))))
% 190.77/190.68 [7027]P1(f836(f836(f225(a899),x70272),x70271))+P1(f836(f836(f224(a899),x70271),x70272))+P1(f836(x70273,f836(f90(a1),f836(f836(f23(a899),x70272),x70271))))
% 190.77/190.68 [7101]E(f836(f836(f74(a899),f836(f94(a899),x71011)),f836(f836(f74(a899),f836(f94(a899),x71012)),x71013)),f836(f836(f74(a899),f836(f94(a899),x71011)),x71013))+P1(f836(a183,f836(f94(a1),x71011)))+~P1(f836(a183,f836(f94(a1),x71012)))
% 190.77/190.68 [7180]~E(x71802,f836(f836(f31(a899),x71803),x71801))+~P1(f836(f836(f225(a899),f2(a899)),x71801))+P1(f836(f836(f224(a899),f836(f836(f75(a899),x71801),x71802)),x71803))
% 190.77/190.68 [7297]~P1(f836(f29(x72971),x72973))+~P1(f836(f29(x72971),x72972))+P1(f836(f29(x72971),f836(f836(f91(f906(x72971,a895)),x72972),x72973)))
% 190.77/190.68 [7344]~P37(x73441,x73443)+~P37(x73441,x73442)+P37(x73441,f836(f836(f92(f906(f905(x73441,x73441),a895)),x73442),x73443))
% 190.77/190.68 [7345]~P51(x73451,x73453)+~P51(x73451,x73452)+P51(x73451,f836(f836(f91(f906(f905(x73451,x73451),a895)),x73452),x73453))
% 190.77/190.68 [7346]~P51(x73461,x73463)+~P51(x73461,x73462)+P51(x73461,f836(f836(f92(f906(f905(x73461,x73461),a895)),x73462),x73463))
% 190.77/190.68 [7589]~P108(x75891)+~P1(f836(f29(x75891),x75892))+E(f129(x75891,f836(f836(f23(f906(x75891,a895)),x75892),f836(f836(f299(x75891),x75893),f178(f906(x75891,a895))))),f160(x75891,x75893,f129(x75891,x75892)))
% 190.77/190.68 [7654]P1(f836(x76541,f2(a1)))+~P1(f836(f836(f225(a899),x76542),x76543))+~P1(f836(x76541,f836(f90(a1),f836(f836(f23(a899),x76542),x76543))))
% 190.77/190.68 [7672]~P1(f836(f29(x76721),x76722))+E(f836(f30(x76721),f836(f836(f23(f906(x76721,a895)),x76722),f836(f836(f299(x76721),x76723),f178(f906(x76721,a895))))),f836(f30(x76721),x76722))+P1(f836(f836(f318(x76721),x76723),x76722))
% 190.77/190.68 [7805]~P110(x78051)+~P1(f836(f836(f225(x78051),f72(x78051)),x78052))+P1(f836(f836(f225(x78051),f72(x78051)),f836(f836(f75(x78051),x78052),f836(f836(f234(x78051),x78052),x78053))))
% 190.77/190.68 [7848]~P1(f836(f29(x78481),x78483))+E(f836(f836(f23(a899),f836(f30(x78481),x78482)),f836(f30(x78481),x78483)),f836(f30(x78481),f836(f836(f23(f906(x78481,a895)),x78482),x78483)))+~P1(f836(f836(f224(f906(x78481,a895)),x78483),x78482))
% 190.77/190.68 [7906]~P1(f836(f836(f224(a899),x79062),x79063))+~P1(f836(f836(f224(a899),x79061),f836(f836(f23(a899),x79063),x79062)))+P1(f836(f836(f224(a899),f836(f836(f74(a899),x79061),x79062)),x79063))
% 190.77/190.68 [7960]P1(f836(f29(x79601),x79602))+~P1(f836(f29(x79601),x79603))+~P1(f836(f29(x79601),f836(f836(f23(f906(x79601,a895)),x79602),x79603)))
% 190.77/190.68 [7966]~P1(f836(f29(x79661),x79662))+E(f836(f30(x79661),f836(f836(f23(f906(x79661,a895)),x79662),f836(f836(f299(x79661),x79663),f178(f906(x79661,a895))))),f836(f836(f23(a899),f836(f30(x79661),x79662)),f72(a899)))+~P1(f836(f836(f318(x79661),x79663),x79662))
% 190.77/190.68 [8042]P59(x80421,x80422)+~P59(x80421,x80423)+~P1(f836(f836(f224(f906(x80421,f906(x80421,a895))),x80422),x80423))
% 190.77/190.68 [8082]~P1(f836(f836(f224(a899),x80823),x80822))+P1(f836(f836(f224(a899),x80821),f836(f836(f23(a899),x80822),x80823)))+~P1(f836(f836(f224(a899),f836(f836(f74(a899),x80821),x80823)),x80822))
% 190.77/190.68 [8100]P36(x81001,x81002)+~P36(x81001,x81003)+~P1(f836(f836(f224(f906(f905(x81001,x81001),a895)),x81002),x81003))
% 190.77/190.68 [8101]P57(x81011,x81012)+~P57(x81011,x81013)+~P1(f836(f836(f224(f906(f905(x81011,x81011),a895)),x81012),x81013))
% 190.77/190.68 [8102]P38(x81021,x81022)+~P38(x81021,x81023)+~P1(f836(f836(f224(f906(f905(x81021,x81021),a895)),x81022),x81023))
% 190.77/190.68 [8336]~P110(x83361)+~P1(f836(f836(f225(x83361),f72(x83361)),x83362))+P1(f836(f836(f225(x83361),f836(f836(f234(x83361),x83362),x83363)),f836(f836(f75(x83361),x83362),f836(f836(f234(x83361),x83362),x83363))))
% 190.77/190.68 [8427]~P1(f836(x84271,f2(a1)))+~P1(f836(x84271,f836(f836(f23(a1),f836(f90(a1),x84272)),f836(f90(a1),x84273))))+P1(f836(x84271,f836(f90(a1),f836(f836(f23(a899),x84272),x84273))))
% 190.77/190.68 [8442]~P1(f836(f836(f224(a899),x84423),x84422))+P1(f836(x84421,f836(f836(f23(a1),f836(f90(a1),x84422)),f836(f90(a1),x84423))))+~P1(f836(x84421,f836(f90(a1),f836(f836(f23(a899),x84422),x84423))))
% 190.77/190.68 [8462]P1(f836(f836(f225(a899),x84621),x84622))+~P1(f836(x84623,f836(f836(f23(a1),f836(f90(a1),x84621)),f836(f90(a1),x84622))))+P1(f836(x84623,f836(f90(a1),f836(f836(f23(a899),x84621),x84622))))
% 190.77/190.68 [8515]~P126(x85152)+E(x85151,f2(x85152))+P1(f836(f836(f225(x85152),f2(x85152)),f836(f836(f74(x85152),f836(f836(f75(x85152),x85153),x85153)),f836(f836(f75(x85152),x85151),x85151))))
% 190.77/190.68 [8516]~P126(x85162)+E(x85161,f2(x85162))+P1(f836(f836(f225(x85162),f2(x85162)),f836(f836(f74(x85162),f836(f836(f75(x85162),x85161),x85161)),f836(f836(f75(x85162),x85163),x85163))))
% 190.77/190.68 [8616]~P1(f836(f836(f225(a899),f2(a899)),x86161))+~P1(f836(f836(f225(a1),x86162),x86163))+P1(f836(f836(f225(a1),f836(f836(f75(a1),f836(f90(a1),x86161)),x86162)),f836(f836(f75(a1),f836(f90(a1),x86161)),x86163)))
% 190.77/190.68 [8672]E(f836(f836(f92(f906(x86721,a895)),x86722),f32(f906(x86721,a895),x86723)),f178(f906(x86721,a895)))+P1(f836(f836(f318(f906(x86721,a895)),x86722),x86723))+P1(f836(f836(f318(f906(x86721,a895)),f598(x86723,x86722,x86721)),f836(f836(f299(f906(x86721,a895)),x86722),x86723)))
% 190.77/190.68 [8673]E(f836(f836(f92(f906(x86731,a895)),x86732),f32(f906(x86731,a895),x86733)),f178(f906(x86731,a895)))+P1(f836(f836(f318(f906(x86731,a895)),x86732),x86733))+P1(f836(f836(f318(f906(x86731,a895)),f597(x86733,x86732,x86731)),f836(f836(f299(f906(x86731,a895)),x86732),x86733)))
% 190.77/190.68 [8702]E(x87021,x87022)+~E(f836(f179(f900(x87023)),x87021),f836(f179(f900(x87023)),x87022))+P1(f836(f836(f318(f905(x87023,x87023)),f639(x87023,x87021,x87022)),f836(f162(f905(x87023,x87023)),f836(f836(f171(x87023,x87023),x87022),x87021))))
% 190.77/190.68 [8952]E(f297(x89521,x89522),f297(x89521,x89523))+~P1(f836(f836(f224(f906(f905(x89521,x89521),a895)),x89523),f297(x89521,x89522)))+~P1(f836(f836(f224(f906(f905(x89521,x89521),a895)),x89522),x89523))
% 190.77/190.68 [9019]~P52(x90191,f232(f906(x90191,a895)),x90193)+P1(f836(f836(f224(f906(f905(f900(x90191),f900(x90191)),a895)),f147(x90191,x90192)),f148(x90191,x90193)))+~P1(f836(f836(f224(f906(f905(x90191,x90191),a895)),x90192),x90193))
% 190.77/190.68 [9215]P36(x92151,x92152)+~P1(f836(f836(f318(x92151),x92153),f610(x92152,x92151)))+P1(f836(f836(f318(f905(x92151,x92151)),f836(f836(f242(x92151,x92151),f613(x92152,x92151,x92153)),x92153)),x92152))
% 190.77/190.68 [9250]~P1(f836(f29(x92501),x92502))+P1(f836(f29(f906(x92501,a895)),f836(f836(f56(x92501),x92502),x92503)))+~P1(f836(f836(f224(f906(f905(x92501,x92501),a895)),x92503),f836(f836(f244(x92501,x92501),x92502),f836(f16(f906(x92501,a895),x92501),x92502))))
% 190.77/190.68 [9286]P52(x92861,x92862,x92863)+P1(f836(f836(f318(x92861),f479(x92863,x92862,x92861)),x92862))+~P1(f836(f836(f224(f906(f905(x92861,x92861),a895)),x92863),f836(f836(f244(x92861,x92861),x92862),f836(f16(f906(x92861,a895),x92861),x92862))))
% 190.77/190.68 [9287]P52(x92871,x92872,x92873)+P1(f836(f836(f318(x92871),f483(x92872,x92873,x92871)),x92872))+~P1(f836(f836(f224(f906(f905(x92871,x92871),a895)),x92873),f836(f836(f244(x92871,x92871),x92872),f836(f16(f906(x92871,a895),x92871),x92872))))
% 190.77/190.68 [9322]~P64(x93221)+~P1(f836(f836(f225(x93221),x93222),x93223))+P1(f836(f836(f225(x93221),f836(f836(f281(x93221),f836(f836(f74(x93221),x93222),x93223)),f836(f836(f74(x93221),f72(x93221)),f72(x93221)))),x93223))
% 190.77/190.68 [9353]~P63(x93531)+P1(f836(f836(f224(x93531),x93532),x93533))+~P1(f836(f836(f224(x93531),f836(f836(f75(x93531),f395(x93533,x93532,x93531)),x93532)),x93533))
% 190.77/190.68 [9491]E(f836(f179(f900(f900(x94911))),f836(f126(f900(x94911),f836(f836(f8(a899,a895,f900(x94911)),f836(f225(a899),x94912)),f179(f900(x94911)))),f169(x94911,x94913))),f836(f179(f900(x94911)),f836(f836(f154(f900(x94911)),x94913),x94912)))+~P13(a899,f836(f158(a899),f836(f836(f144(f900(x94911),a899),f179(f900(x94911))),x94913)))+~P1(f836(f836(f225(a899),x94912),f836(f179(f900(f900(x94911))),x94913)))
% 190.77/190.68 [9614]~P36(x96141,x96142)+P26(x96141,f836(f836(f242(f906(f905(x96141,x96141),a895),f906(f905(x96141,x96141),a895)),x96142),x96143))+~P1(f836(f836(f224(f906(f905(x96141,x96141),a895)),f836(f836(f279(x96141,x96141,x96141),x96142),x96143)),x96142))
% 190.77/190.68 [9619]E(f836(f836(f144(f900(x96191),x96191),f836(f836(f7(f900(x96191),a899,x96191),f154(x96191)),x96192)),f836(f126(f900(x96191),f836(f836(f8(a899,a895,f900(x96191)),f836(f225(a899),x96192)),f179(f900(x96191)))),f169(x96191,x96193))),f836(f836(f154(f900(x96191)),x96193),x96192))+~P13(a899,f836(f158(a899),f836(f836(f144(f900(x96191),a899),f179(f900(x96191))),x96193)))+~P1(f836(f836(f225(a899),x96192),f836(f179(f900(f900(x96191))),x96193)))
% 190.77/190.68 [9754]P52(x97541,x97542,x97543)+~P1(f836(f836(f318(f905(x97541,x97541)),f836(f836(f242(x97541,x97541),f479(x97543,x97542,x97541)),f479(x97543,x97542,x97541))),x97543))+~P1(f836(f836(f224(f906(f905(x97541,x97541),a895)),x97543),f836(f836(f244(x97541,x97541),x97542),f836(f16(f906(x97541,a895),x97541),x97542))))
% 190.77/190.68 [9755]P52(x97551,x97552,x97553)+~P1(f836(f836(f318(f905(x97551,x97551)),f836(f836(f242(x97551,x97551),f483(x97552,x97553,x97551)),f483(x97552,x97553,x97551))),x97553))+~P1(f836(f836(f224(f906(f905(x97551,x97551),a895)),x97553),f836(f836(f244(x97551,x97551),x97552),f836(f16(f906(x97551,a895),x97551),x97552))))
% 190.77/190.68 [9923]~P128(x99231)+~P124(x99231)+E(f836(f836(f281(x99231),f836(f93(x99231),f836(f836(f67(f905(a1,a1),a1,x99232,f241(a1,a1)),f202(x99232)),x99233))),f836(f93(x99231),f836(f836(f67(f905(a1,a1),a1,x99232,f246(a1,a1)),f202(x99232)),x99233))),f212(x99232,x99231,x99233))
% 190.77/190.68 [10126]~E(x101263,f2(a899))+~E(f836(f179(f900(x101261)),f836(f836(f154(f900(x101261)),x101262),f688(x101263,x101261,x101262))),x101263)+E(f836(f836(f144(a899,f900(x101261)),f836(f836(f7(a899,f900(a899),f900(x101261)),f836(f836(f8(f906(a899,x101261),f906(f900(a899),f900(x101261)),a899),f144(a899,x101261)),f836(f7(a899,a899,x101261),f836(f836(f8(f900(x101261),f906(a899,x101261),a899),f154(x101261)),f836(f154(f900(x101261)),x101262))))),f129(a899,f836(f292(a899,f2(a899)),f836(f179(f900(f900(x101261))),x101262))))),f129(a899,f836(f292(a899,f2(a899)),x101263))),f169(x101261,x101262))
% 190.77/190.68 [10127]E(x101271,f103(f900(x101272)))+~E(f836(f179(f900(x101272)),f836(f836(f154(f900(x101272)),x101271),f688(x101273,x101272,x101271))),x101273)+E(f836(f836(f144(a899,f900(x101272)),f836(f836(f7(a899,f900(a899),f900(x101272)),f836(f836(f8(f906(a899,x101272),f906(f900(a899),f900(x101272)),a899),f144(a899,x101272)),f836(f7(a899,a899,x101272),f836(f836(f8(f900(x101272),f906(a899,x101272),a899),f154(x101272)),f836(f154(f900(x101272)),x101271))))),f129(a899,f836(f292(a899,f2(a899)),f836(f179(f900(f900(x101272))),x101271))))),f129(a899,f836(f292(a899,f2(a899)),x101273))),f169(x101272,x101271))
% 190.77/190.68 [10128]~E(x101283,f2(a899))+E(f836(f836(f144(a899,f900(x101281)),f836(f836(f7(a899,f900(a899),f900(x101281)),f836(f836(f8(f906(a899,x101281),f906(f900(a899),f900(x101281)),a899),f144(a899,x101281)),f836(f7(a899,a899,x101281),f836(f836(f8(f900(x101281),f906(a899,x101281),a899),f154(x101281)),f836(f154(f900(x101281)),x101282))))),f129(a899,f836(f292(a899,f2(a899)),f836(f179(f900(f900(x101281))),x101282))))),f129(a899,f836(f292(a899,f2(a899)),x101283))),f169(x101281,x101282))+P1(f836(f836(f225(a899),f688(x101283,x101281,x101282)),f836(f179(f900(f900(x101281))),x101282)))
% 190.77/190.68 [10129]E(x101291,f103(f900(x101292)))+E(f836(f836(f144(a899,f900(x101292)),f836(f836(f7(a899,f900(a899),f900(x101292)),f836(f836(f8(f906(a899,x101292),f906(f900(a899),f900(x101292)),a899),f144(a899,x101292)),f836(f7(a899,a899,x101292),f836(f836(f8(f900(x101292),f906(a899,x101292),a899),f154(x101292)),f836(f154(f900(x101292)),x101291))))),f129(a899,f836(f292(a899,f2(a899)),f836(f179(f900(f900(x101292))),x101291))))),f129(a899,f836(f292(a899,f2(a899)),x101293))),f169(x101292,x101291))+P1(f836(f836(f225(a899),f688(x101293,x101292,x101291)),f836(f179(f900(f900(x101292))),x101291)))
% 190.77/190.68 [7845]E(f836(f836(f74(a899),f836(f94(a899),x78451)),f836(f836(f74(a899),f836(f94(a899),x78452)),x78453)),f836(f836(f74(a899),f836(f94(a899),f836(f836(f74(a1),x78451),x78452))),x78453))+P1(f836(a183,f836(f94(a1),x78451)))+P1(f836(a183,f836(f94(a1),x78452)))
% 190.77/190.68 [8608]~P1(f836(f29(x86081),x86082))+~P1(f836(f836(f318(x86081),x86083),x86082))+E(f836(a102,f836(f30(x86081),f836(f836(f23(f906(x86081,a895)),x86082),f836(f836(f299(x86081),x86083),f178(f906(x86081,a895)))))),f836(f30(x86081),x86082))
% 190.77/190.68 [8624]~P1(f836(f29(x86241),x86242))+~P1(f836(f836(f318(x86241),x86243),x86242))+E(f836(f836(f74(a899),f72(a899)),f836(f30(x86241),f836(f836(f23(f906(x86241,a895)),x86242),f836(f836(f299(x86241),x86243),f178(f906(x86241,a895)))))),f836(f30(x86241),x86242))
% 190.77/190.68 [8711]~P108(x87111)+~P1(f836(f29(x87111),x87113))+E(f836(f836(f138(x87111,x87111,f5(x87111)),x87112),f129(x87111,f836(f836(f23(f906(x87111,a895)),x87113),f836(f836(f299(x87111),x87112),f178(f906(x87111,a895)))))),f129(x87111,f836(f836(f299(x87111),x87112),x87113)))
% 190.77/190.68 [8877]~P1(f836(f29(x88771),x88773))+~P1(f836(f29(x88771),x88772))+E(f836(f836(f74(a899),f836(f30(x88771),f836(f836(f91(f906(x88771,a895)),x88772),x88773))),f836(f30(x88771),f836(f836(f92(f906(x88771,a895)),x88772),x88773))),f836(f836(f74(a899),f836(f30(x88771),x88772)),f836(f30(x88771),x88773)))
% 190.77/190.68 [10075]~P24(x100751,f906(f906(x100751,a895),a895),f836(f836(f7(x100751,f906(f905(x100751,x100751),a895),f906(f906(x100751,a895),a895)),f836(f836(f8(f906(x100751,a895),f906(f906(f905(x100751,x100751),a895),f906(f906(x100751,a895),a895)),x100751),f56(x100751)),f836(f836(f7(x100751,f906(x100751,a895),f906(x100751,a895)),f299(x100751)),f178(f906(x100751,a895))))),x100753),x100752)+~P1(f836(f29(x100751),x100752))+E(f836(f30(f906(x100751,a895)),f836(f836(f56(x100751),x100752),x100753)),f836(f30(x100751),x100752))
% 190.77/190.68 [8114]~P94(x81141)+P1(f836(f836(f224(a1),f2(a1)),f836(f94(a1),x81143)))+E(f836(f836(f234(x81141),x81142),f836(f94(a899),f836(f836(f23(a1),f836(f836(f74(a1),x81143),x81143)),a87))),f72(x81141))
% 190.77/190.68 [9596]~P94(x95961)+~P1(f836(f836(f224(a1),f2(a1)),f836(f94(a1),x95963)))+E(f836(f836(f234(x95961),x95962),f836(f94(a899),f836(f836(f23(a1),f836(f836(f74(a1),x95963),x95963)),a87))),f836(f836(f80(x95961,x95961),f836(f836(f234(x95961),x95962),f836(f94(a899),x95963))),f836(f836(f18(x95961,x95961,x95961),f836(f836(f8(x95961,f906(x95961,x95961),x95961),f75(x95961)),f836(f75(x95961),x95962))),f5(x95961))))
% 190.77/190.68 [9985]~P1(f836(f127(x99851),x99853))+~P1(f836(f836(f318(x99851),x99852),f836(f162(x99851),x99853)))+E(f836(f836(f128(x99851),f836(f179(f900(x99851)),f167(x99851,f836(f836(f8(a895,a895,x99851),a312),f836(f836(f7(x99851,x99851,a895),a314),x99852)),f836(f158(x99851),x99853)))),f836(f158(x99851),x99853)),f836(f836(f141(x99851),x99852),f836(f158(x99851),f167(x99851,f836(f836(f8(a895,a895,x99851),a312),f836(f836(f7(x99851,x99851,a895),a314),x99852)),x99853))))
% 190.77/190.68 [10045]P1(f836(f836(f224(f906(f905(x100451,x100451),a895)),f297(x100451,x100452)),x100453))+~P1(f836(f836(f224(f906(f905(x100451,x100451),a895)),f297(x100451,f178(f906(f905(x100451,x100451),a895)))),x100453))+~P1(f836(f836(f224(f906(f905(x100451,x100451),a895)),f836(f836(f279(x100451,x100451,x100451),f836(f836(f92(f906(f905(x100451,x100451),a895)),f297(x100451,x100452)),x100453)),x100452)),x100453))
% 190.77/190.68 [9903]~P1(f836(f29(x99031),f836(f252(x99031),x99033)))+~P1(f836(f29(x99031),f836(f252(x99031),x99032)))+P1(f836(f29(x99031),f836(f252(x99031),f836(f836(f18(x99031,a895,a895),f836(f836(f8(a895,f906(a895,a895),x99031),a316),x99032)),x99033))))
% 190.77/190.68 [10191]P1(f836(f836(f224(f906(f905(x101911,x101911),a895)),f836(f836(f279(x101911,x101911,x101911),x101912),f297(x101911,x101912))),x101913))+~P1(f836(f836(f224(f906(f905(x101911,x101911),a895)),x101912),x101913))+~P1(f836(f836(f224(f906(f905(x101911,x101911),a895)),f836(f836(f279(x101911,x101911,x101911),f836(f836(f92(f906(f905(x101911,x101911),a895)),f836(f836(f279(x101911,x101911,x101911),x101912),f297(x101911,x101912))),x101913)),x101912)),x101913))
% 190.77/190.68 [10142]~P111(x101422)+E(x101421,f2(x101422))+~E(f836(f836(f74(x101422),f836(f836(f234(x101422),x101423),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))),f836(f836(f234(x101422),x101421),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))),f2(x101422))
% 190.77/190.68 [10143]~P111(x101432)+E(x101431,f2(x101432))+~E(f836(f836(f74(x101432),f836(f836(f234(x101432),x101431),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))),f836(f836(f234(x101432),x101433),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))),f2(x101432))
% 190.77/190.68 [10148]~P1(f836(f127(x101481),x101483))+~P1(f836(f836(f318(x101481),x101482),f836(f162(x101481),x101483)))+E(f836(f158(x101481),f836(f161(x101481),f836(f836(f128(x101481),f836(f179(f900(x101481)),f167(x101481,f836(f836(f8(a895,a895,x101481),a312),f836(f836(f7(x101481,x101481,a895),a314),x101482)),x101483))),x101483))),f167(x101481,f836(f836(f8(a895,a895,x101481),a312),f836(f836(f7(x101481,x101481,a895),a314),x101482)),f836(f158(x101481),x101483)))
% 190.77/190.68 [10236]~P111(x102362)+E(x102361,f2(x102362))+P1(f836(f836(f225(x102362),f2(x102362)),f836(f836(f74(x102362),f836(f836(f234(x102362),x102363),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))),f836(f836(f234(x102362),x102361),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))))))
% 190.77/190.68 [10237]~P111(x102372)+E(x102371,f2(x102372))+P1(f836(f836(f225(x102372),f2(x102372)),f836(f836(f74(x102372),f836(f836(f234(x102372),x102371),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))),f836(f836(f234(x102372),x102373),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))))))
% 190.77/190.68 [10298]~P111(x102981)+P1(f836(f836(f224(x102981),f2(x102981)),x102982))+~P1(f836(f836(f224(x102981),f2(x102981)),f836(f836(f234(x102981),x102982),f836(a102,f836(f836(f75(a899),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),x102983)))))
% 190.77/190.68 [5024]~E(x50242,f84(x50243,x50241))+P1(f836(x50241,x50242))+~P1(f836(x50241,x50244))
% 190.77/190.68 [5270]E(f63(x52703,x52702,x52704),x52702)+E(x52701,f716(x52702,x52703,x52704))+~P1(f836(x52704,x52701))
% 190.77/190.68 [6615]E(f63(x66151,x66152,x66153),f79(x66151,x66153))+~E(f753(x66152,x66151,x66153,x66154),x66154)+~P1(f836(x66153,x66154))
% 190.77/190.68 [6830]~P36(x68302,x68304)+~P36(x68301,x68303)+P36(f905(x68301,x68302),f310(x68301,x68302,x68303,x68304))
% 190.77/190.68 [6831]~P37(x68312,x68314)+~P37(x68311,x68313)+P37(f905(x68311,x68312),f310(x68311,x68312,x68313,x68314))
% 190.77/190.68 [5210]~P7(x52104,x52101)+~E(f836(x52101,x52102),f836(x52101,x52103))+P1(f836(f836(x52101,x52102),x52103))
% 190.77/190.68 [5369]~P7(x53694,x53691)+E(f836(x53691,x53692),f836(x53691,x53693))+~P1(f836(f836(x53691,x53692),x53693))
% 190.77/190.68 [5370]~P15(x53704,x53701)+E(f836(x53701,x53702),f836(x53701,x53703))+~P1(f836(f836(x53701,x53702),x53703))
% 190.77/190.68 [5464]~P18(x54643,x54644,x54641)+E(f836(x54641,x54642),f836(f58(x54643,x54644),x54642))+~P1(f836(f29(x54643),x54642))
% 190.77/190.68 [5465]~P9(x54653,x54654,x54651)+E(f836(x54651,x54652),f836(f58(x54653,x54654),x54652))+~P1(f836(f29(x54653),x54652))
% 190.77/190.68 [5592]~P7(x55924,x55921)+~P1(f836(f836(x55921,x55923),x55922))+P1(f836(f836(x55921,x55922),x55923))
% 190.77/190.68 [5593]~P50(x55934,x55931)+~P1(f836(f836(x55931,x55933),x55932))+P1(f836(f836(x55931,x55932),x55933))
% 190.77/190.68 [5594]~P15(x55944,x55941)+~P1(f836(f836(x55941,x55943),x55942))+P1(f836(f836(x55941,x55942),x55943))
% 190.77/190.68 [5595]~P15(x55953,x55951)+P1(f836(f836(x55951,x55952),x55952))+~P1(f836(f836(x55951,x55954),x55952))
% 190.77/190.68 [5596]~P15(x55963,x55961)+P1(f836(f836(x55961,x55962),x55962))+~P1(f836(f836(x55961,x55962),x55964))
% 190.77/190.68 [5666]E(x56661,x56662)+~E(f836(f241(x56663,x56664),x56661),f836(f241(x56663,x56664),x56662))+~E(f836(f246(x56663,x56664),x56661),f836(f246(x56663,x56664),x56662))
% 190.77/190.68 [5694]E(x56941,x56942)+~P1(f836(f44(x56943,x56944),x56942))+~P1(f836(f44(x56943,x56944),x56941))
% 190.77/190.68 [5894]~P73(x58942)+E(f221(x58941,x58942,x58943,x58944),f2(x58942))+P1(f836(f29(x58941),x58944))
% 190.77/190.68 [5942]~P7(x59423,x59422)+~P1(f836(x59421,x59424))+P1(f836(x59421,f798(x59421,x59422,x59423)))
% 190.77/190.68 [6040]~P1(f836(f305(x60401,x60402),x60404))+P1(f836(f305(x60401,x60402),x60403))+~P1(f836(f836(x60402,x60403),x60404))
% 190.77/190.68 [6867]~P28(x68671,x68673,x68674)+P1(f836(x68671,x68672))+~P1(f836(f836(f318(a1),x68672),f293(a1,x68673,x68674)))
% 190.77/190.68 [7063]~P7(x70631,x70633)+~P1(f836(x70632,x70634))+P1(f836(f836(f318(x70631),f798(x70632,x70633,x70631)),f260(x70631,x70633)))
% 190.77/190.68 [7955]E(x79551,f2(a899))+~P1(f836(x79552,x79553))+P1(f836(x79552,f748(x79552,x79553,x79551,x79554)))
% 190.77/190.68 [8037]~P108(x80372)+~P1(f836(f127(x80371),x80374))+P1(f836(f127(x80371),f140(x80371,x80372,x80373,x80374)))
% 190.77/190.68 [8081]E(f63(x80811,x80812,x80813),f79(x80811,x80813))+~P1(f836(x80813,x80814))+P1(f836(x80813,f753(x80812,x80811,x80813,x80814)))
% 190.77/190.68 [8263]~P1(f836(f29(x82632),x82634))+~P1(f836(f29(x82631),x82633))+P1(f836(f29(f904(x82631,x82632)),f303(x82631,x82632,x82633,x82634)))
% 190.77/190.68 [8264]~P1(f836(f127(x82642),x82644))+~P1(f836(f127(x82641),x82643))+P1(f836(f127(f905(x82641,x82642)),f55(x82641,x82642,x82643,x82644)))
% 190.77/190.68 [8267]P1(f836(f836(f318(f900(x82671)),f836(f836(f124(x82671),x82672),x82673)),f151(x82671,x82674)))+~P1(f836(f836(f318(f900(x82671)),x82673),f151(x82671,x82674)))+~P1(f836(f836(f318(f900(x82671)),x82672),f151(x82671,x82674)))
% 190.77/190.68 [8546]E(x85461,f2(a899))+P1(f836(x85462,x85463))+~P1(f836(x85462,f749(x85462,x85463,x85461,x85464)))
% 190.77/190.68 [8583]~P108(x85833)+~P1(f836(f127(x85831),f140(x85831,x85833,x85834,x85832)))+P1(f836(f127(x85831),x85832))
% 190.77/190.68 [8866]~P1(f836(f836(f318(f905(x88661,x88661)),f836(f836(f242(x88661,x88661),x88662),x88664)),f297(x88661,x88663)))+P1(f836(f836(f318(x88661),x88662),f306(x88661,x88663)))+~P1(f836(f836(f318(x88661),x88664),f306(x88661,x88663)))
% 190.77/190.68 [5194]~P74(x51942)+E(f836(f836(f9(x51941,x51942),x51943),x51944),f72(x51942))+P1(f836(f29(x51941),x51944))
% 190.77/190.68 [5197]~P73(x51972)+E(f836(f836(f6(x51971,x51972),x51973),x51974),f2(x51972))+P1(f836(f29(x51971),x51974))
% 190.77/190.68 [5332]~P69(x53323)+E(x53321,x53322)+~E(f836(f836(f74(x53323),x53324),x53321),f836(f836(f74(x53323),x53324),x53322))
% 190.77/190.68 [5333]~P70(x53333)+E(x53331,x53332)+~E(f836(f836(f74(x53333),x53334),x53331),f836(f836(f74(x53333),x53334),x53332))
% 190.77/190.68 [5335]~P69(x53353)+E(x53351,x53352)+~E(f836(f836(f74(x53353),x53351),x53354),f836(f836(f74(x53353),x53352),x53354))
% 190.77/190.68 [5431]~P121(x54311)+~E(x54313,f836(f836(f75(x54311),x54312),x54314))+P1(f836(f836(f277(x54311),x54312),x54313))
% 190.77/190.68 [5459]~P5(x54593)+E(x54591,f178(f906(x54592,a895)))+E(f836(f836(f35(x54592,x54593),x54591),f836(f16(x54593,x54592),x54594)),x54594)
% 190.77/190.68 [5460]~P5(x54603)+E(x54601,f178(f906(x54602,a895)))+E(f836(f836(f36(x54602,x54603),x54601),f836(f16(x54603,x54602),x54604)),x54604)
% 190.77/190.68 [5680]~P109(x56803)+E(x56801,x56802)+~E(f293(x56803,x56804,x56801),f836(f836(f299(x56803),x56802),f178(f906(x56803,a895))))
% 190.77/190.68 [5681]~P109(x56813)+E(x56811,x56812)+~E(f293(x56813,x56811,x56812),f836(f836(f299(x56813),x56814),f178(f906(x56813,a895))))
% 190.77/190.68 [5741]~P34(x57413,x57411,x57414)+P34(x57413,x57411,f836(f836(f141(x57413),x57412),x57414))+P1(f836(x57411,x57412))
% 190.77/190.68 [5843]~P30(x58431,x58432,x58434)+~P1(f836(x58432,x58433))+P30(x58431,x58432,f836(f836(f141(x58431),x58433),x58434))
% 190.77/190.68 [5995]P1(f836(x59951,x59952))+~P1(f836(f238(x59953,x59951),x59954))+~P1(f836(f836(f318(x59953),x59952),x59954))
% 190.77/190.68 [6004]~P30(x60041,x60042,x60044)+~P30(x60041,x60042,x60043)+P30(x60041,x60042,f836(f836(f124(x60041),x60043),x60044))
% 190.77/190.68 [6019]P32(x60191,x60192,x60193)+~P32(x60191,x60192,f836(f836(f141(x60191),x60194),x60193))+P1(f836(x60192,x60194))
% 190.77/190.68 [6020]P34(x60201,x60202,x60203)+~P34(x60201,x60202,f836(f836(f141(x60201),x60204),x60203))+P1(f836(x60202,x60204))
% 190.77/190.68 [6095]P32(x60951,x60952,x60953)+P32(x60951,x60952,x60954)+~P32(x60951,x60952,f836(f836(f124(x60951),x60954),x60953))
% 190.77/190.68 [6116]~P73(x61161)+E(f836(f836(f6(a899,x61161),x61162),f836(f292(a899,x61163),f836(a102,x61164))),f2(x61161))+~P1(f836(f836(f225(a899),x61164),x61163))
% 190.77/190.68 [6121]~P4(x61211)+~E(f41(x61211,x61212,x61213),f41(x61211,x61214,x61213))+E(f41(x61211,f836(f73(x61211),x61212),x61213),f41(x61211,f836(f73(x61211),x61214),x61213))
% 190.77/190.68 [6189]P1(f836(x61891,x61892))+~E(f836(f126(x61893,x61891),x61894),x61894)+~P1(f836(f836(f318(x61893),x61892),f836(f162(x61893),x61894)))
% 190.77/190.68 [6209]~E(f836(f836(f74(a899),x62093),x62092),f836(f836(f74(a899),x62091),x62094))+~P1(f836(f836(f225(a899),x62093),x62094))+P1(f836(f836(f225(a899),x62091),x62092))
% 190.77/190.68 [6215]P32(x62151,x62152,x62153)+~P1(f836(x62152,x62154))+~P1(f836(f836(f318(x62151),x62154),f836(f162(x62151),x62153)))
% 190.77/190.68 [6218]~P3(x62181)+E(f41(x62181,f41(x62181,x62182,x62183),x62184),f41(x62181,x62182,x62184))+~P1(f836(f836(f277(x62181),x62184),x62183))
% 190.77/190.68 [6258]~P30(x62583,x62581,x62584)+P1(f836(x62581,x62582))+~P1(f836(f836(f318(x62583),x62582),f836(f162(x62583),x62584)))
% 190.77/190.68 [6260]~E(f836(f126(x62601,x62602),x62603),f103(x62601))+~P1(f836(x62602,x62604))+~P1(f836(f836(f318(x62601),x62604),f836(f162(x62601),x62603)))
% 190.77/190.68 [6261]~E(f167(x62613,x62611,x62614),x62614)+P1(f836(x62611,x62612))+~P1(f836(f836(f318(x62613),x62612),f836(f162(x62613),x62614)))
% 190.77/190.68 [6288]~E(x62884,f178(f906(x62882,a895)))+~E(x62883,f178(f906(x62881,a895)))+E(f303(x62881,x62882,x62883,x62884),f178(f906(f904(x62881,x62882),a895)))
% 190.77/190.68 [6441]P1(f836(x64411,x64412))+~P1(f836(f150(x64413,x64411),x64414))+~P1(f836(f836(f318(x64413),x64412),f836(f162(x64413),x64414)))
% 190.77/190.68 [6584]~P29(x65841,x65843,x65844)+P1(f836(x65841,x65842))+~P1(f836(f836(f318(a899),x65842),f836(f292(a899,x65843),x65844)))
% 190.77/190.68 [6723]~P73(x67231)+E(f836(f836(f6(a899,x67231),x67232),f293(a899,x67233,f836(a102,x67234))),f2(x67231))+~P1(f836(f836(f225(a899),f836(a102,x67234)),x67233))
% 190.77/190.68 [6870]~P108(x68701)+E(f836(f836(f23(f906(x68701,a895)),f836(f292(x68701,x68702),x68703)),f836(f292(x68701,x68702),x68704)),f836(f292(x68701,x68704),x68703))+~P1(f836(f836(f224(x68701),x68702),x68704))
% 190.77/190.68 [6941]~E(x69413,x69414)+E(x69411,f2(a899))+P1(f836(f836(f318(x69412),x69413),f836(f162(x69412),f159(x69412,x69411,x69414))))
% 190.77/190.68 [7226]~P1(f836(f836(f318(f900(x72261)),x72264),f151(x72261,x72263)))+P1(f836(f836(f318(x72261),x72262),x72263))+~P1(f836(f836(f318(x72261),x72262),f836(f162(x72261),x72264)))
% 190.77/190.68 [7233]~P36(x72331,x72332)+P1(f836(f836(f318(x72331),f599(x72332,x72331,x72333)),x72333))+~P1(f836(f836(f318(x72331),x72334),x72333))
% 190.77/190.68 [7290]~P74(x72901)+E(f836(f836(f836(f60(x72901,x72902,f75(x72901)),x72903),f72(x72901)),x72904),f836(f836(f9(x72902,x72901),x72903),x72904))+~P1(f836(f29(x72902),x72904))
% 190.77/190.68 [7292]~P73(x72921)+E(f836(f836(f836(f60(x72921,x72922,f74(x72921)),x72923),f2(x72921)),x72924),f836(f836(f6(x72922,x72921),x72923),x72924))+~P1(f836(f29(x72922),x72924))
% 190.77/190.68 [7319]P24(x73191,x73192,x73193,x73194)+~E(f836(f30(x73192),f836(f300(x73191,x73192,x73193),x73194)),f836(f30(x73191),x73194))+~P1(f836(f29(x73191),x73194))
% 190.77/190.68 [7513]~P73(x75131)+E(f836(f836(f74(x75131),f836(x75132,x75133)),f836(f836(f6(a899,x75131),x75132),f295(a899,x75133,x75134))),f836(f836(f6(a899,x75131),x75132),f293(a899,x75133,x75134)))+~P1(f836(f836(f224(a899),x75133),x75134))
% 190.77/190.68 [7522]~P74(x75221)+~P24(x75222,x75221,x75223,x75224)+E(f836(f836(f9(x75221,x75221),f25(x75221)),f836(f300(x75222,x75221,x75223),x75224)),f836(f836(f9(x75222,x75221),x75223),x75224))
% 190.77/190.68 [7523]~P73(x75231)+~P24(x75232,x75231,x75233,x75234)+E(f836(f836(f6(x75231,x75231),f25(x75231)),f836(f300(x75232,x75231,x75233),x75234)),f836(f836(f6(x75232,x75231),x75233),x75234))
% 190.77/190.68 [7571]E(f836(f30(f904(x75711,x75712)),f303(x75711,x75712,x75713,x75714)),f836(f836(f74(a899),f836(f30(x75711),x75713)),f836(f30(x75712),x75714)))+~P1(f836(f29(x75712),x75714))+~P1(f836(f29(x75711),x75713))
% 190.77/190.68 [7655]E(x76551,x76552)+P1(f836(f836(f318(x76553),x76551),f836(f162(x76553),f160(x76553,x76552,x76554))))+~P1(f836(f836(f318(x76553),x76551),f836(f162(x76553),x76554)))
% 190.77/190.68 [7885]~P73(x78851)+E(f836(f836(f74(x78851),f836(f836(f6(a899,x78851),x78852),f836(f292(a899,x78853),x78854))),f836(x78852,x78854)),f836(f836(f6(a899,x78851),x78852),f836(f292(a899,x78853),f836(a102,x78854))))+P1(f836(f836(f225(a899),x78854),x78853))
% 190.77/190.68 [7935]~P24(x79351,x79352,x79353,f232(f906(x79351,a895)))+~P1(f836(f29(x79352),x79354))+P1(f836(f29(x79351),f836(f301(x79351,x79352,x79353),x79354)))
% 190.77/190.68 [8052]P1(f836(f836(f318(f900(x80521)),f836(f836(f141(x80521),x80522),x80523)),f151(x80521,x80524)))+~P1(f836(f836(f318(f900(x80521)),x80523),f151(x80521,x80524)))+~P1(f836(f836(f318(x80521),x80522),x80524))
% 190.77/190.68 [8138]~E(f836(f300(x81383,x81381,x81384),f232(f906(x81383,a895))),f232(f906(x81381,a895)))+P1(f836(f29(x81381),x81382))+~P1(f836(f29(x81383),f836(f301(x81383,x81381,x81384),x81382)))
% 190.77/190.68 [8233]~P24(x82331,x82333,x82334,x82332)+P1(f836(f29(x82331),x82332))+~P1(f836(f29(x82333),f836(f300(x82331,x82333,x82334),x82332)))
% 190.77/190.68 [8257]~E(x82572,x82573)+P1(f836(f836(f318(f905(x82571,x82571)),f836(f836(f242(x82571,x82571),x82572),x82573)),f253(x82571,x82574)))+~P1(f836(f836(f318(x82571),x82572),x82574))
% 190.77/190.68 [8290]~P73(x82901)+E(f836(f836(f74(x82901),f836(f836(f6(a899,x82901),x82902),f293(a899,x82903,x82904))),f836(x82902,f836(a102,x82904))),f836(f836(f6(a899,x82901),x82902),f293(a899,x82903,f836(a102,x82904))))+P1(f836(f836(f225(a899),f836(a102,x82904)),x82903))
% 190.77/190.68 [8350]P1(f836(x83501,x83502))+~P1(f836(x83501,f836(f836(f154(x83503),x83504),f638(x83501,x83504,x83503))))+~P1(f836(f836(f318(x83503),x83502),f836(f162(x83503),x83504)))
% 190.77/190.68 [8491]~P1(f836(f836(f318(x84911),x84912),f306(x84911,x84914)))+P1(f836(f836(f318(f900(x84911)),f836(f836(f141(x84911),x84912),x84913)),f306(f900(x84911),f147(x84911,x84914))))+~P1(f836(f836(f318(f900(x84911)),x84913),f306(f900(x84911),f147(x84911,x84914))))
% 190.77/190.68 [8506]~P24(x85062,x85063,x85064,f602(x85064,x85063,x85062,x85061))+P24(x85062,x85063,x85064,f33(f906(x85062,a895),x85061))+E(x85061,f178(f906(f906(x85062,a895),a895)))
% 190.77/190.68 [8775]E(x87751,x87752)+~P1(f836(f836(f318(f905(x87753,x87753)),f836(f836(f242(x87753,x87753),x87751),x87752)),f297(x87753,x87754)))+P1(f836(f836(f318(x87753),x87751),f836(f254(x87753,x87753),x87754)))
% 190.77/190.68 [9053]E(x90531,f2(a899))+P1(f836(x90532,x90533))+P1(f836(f836(f318(x90534),f749(x90532,x90533,x90531,x90534)),f836(f162(x90534),f159(x90534,x90531,x90533))))
% 190.77/190.68 [9065]E(x90651,f2(a899))+~P1(f836(x90653,x90654))+P1(f836(f836(f318(x90652),f748(x90653,x90654,x90651,x90652)),f836(f162(x90652),f159(x90652,x90651,x90654))))
% 190.77/190.68 [9067]~P25(x90671,x90672,x90673,f232(f906(x90671,a895)),f232(f906(x90672,a895)))+~P1(f836(f29(x90672),x90674))+P1(f836(f29(x90671),f836(f301(x90671,x90672,x90673),x90674)))
% 190.77/190.68 [9070]P24(x90702,x90703,x90704,f33(f906(x90702,a895),x90701))+E(x90701,f178(f906(f906(x90702,a895),a895)))+P1(f836(f836(f318(f906(x90702,a895)),f602(x90704,x90703,x90702,x90701)),x90701))
% 190.77/190.68 [9186]~P25(x91863,x91861,x91864,f232(f906(x91863,a895)),f232(f906(x91861,a895)))+P1(f836(f29(x91861),x91862))+~P1(f836(f29(x91863),f836(f301(x91863,x91861,x91864),x91862)))
% 190.77/190.68 [9203]P1(f836(f29(x92031),x92032))+~P1(f836(f29(x92034),f836(f300(x92031,x92034,x92033),x92032)))+P1(f836(f836(f318(x92031),f499(x92033,x92034,x92032,x92031)),x92032))
% 190.77/190.68 [9298]~P5(x92982)+E(f836(f836(f59(x92981,x92982,f836(f836(f8(x92982,f906(x92982,x92982),x92981),f91(x92982)),x92983)),f178(x92982)),x92984),f836(f836(f35(x92981,x92982),x92984),x92983))+~P1(f836(f29(x92981),x92984))
% 190.77/190.68 [9299]~P5(x92992)+E(f836(f836(f59(x92991,x92992,f836(f836(f8(x92992,f906(x92992,x92992),x92991),f92(x92992)),x92993)),f232(x92992)),x92994),f836(f836(f36(x92991,x92992),x92994),x92993))+~P1(f836(f29(x92991),x92994))
% 190.77/190.68 [9329]~P1(f836(f836(f277(a899),x93293),x93294))+P1(f836(f836(f277(a899),x93291),x93292))+P1(f836(f836(f225(f906(a899,a895)),f280(a899,f277(a899),x93291,x93292)),f280(a899,f277(a899),x93293,x93294)))
% 190.77/190.68 [9342]~P1(f836(f836(f277(a899),x93422),x93424))+~P1(f836(f836(f277(a899),x93423),x93421))+P1(f836(f836(f224(f906(a899,a895)),f280(a899,f277(a899),x93421,x93422)),f280(a899,f277(a899),x93423,x93424)))
% 190.77/190.68 [9386]P1(f836(x93861,x93862))+~P1(f836(x93861,f836(f836(f154(x93863),x93864),f674(x93862,x93861,x93864,x93863))))+~P1(f836(f836(f318(x93863),x93862),f836(f162(x93863),x93864)))
% 190.77/190.68 [9407]E(x94071,x94072)+~P1(f836(f836(f318(f905(x94073,x94073)),f836(f836(f242(x94073,x94073),x94071),x94072)),f297(x94073,x94074)))+P1(f836(f836(f318(f905(x94073,x94073)),f836(f836(f242(x94073,x94073),x94071),x94072)),f836(f836(f279(x94073,x94073,x94073),x94074),f297(x94073,x94074))))
% 190.77/190.68 [9457]~E(f836(f179(f900(x94571)),x94572),f836(f179(f900(x94571)),x94573))+~P1(f836(f836(f318(f905(f900(x94571),f900(x94571))),f836(f836(f242(f900(x94571),f900(x94571)),x94572),x94573)),f137(x94571,x94574)))+P1(f836(f836(f318(f905(f900(x94571),f900(x94571))),f836(f836(f242(f900(x94571),f900(x94571)),x94572),x94573)),f135(x94571,x94574)))
% 190.77/190.68 [9580]P1(f836(f836(f277(a899),x95801),x95802))+~P1(f836(f836(f277(a899),x95803),x95801))+~P1(f836(f836(f224(f906(a899,a895)),f280(a899,f277(a899),x95803,x95801)),f280(a899,f277(a899),x95804,x95802)))
% 190.77/190.68 [9581]P1(f836(f836(f277(a899),x95811),x95812))+~P1(f836(f836(f277(a899),x95813),x95811))+~P1(f836(f836(f225(f906(a899,a895)),f280(a899,f277(a899),x95813,x95811)),f280(a899,f277(a899),x95814,x95812)))
% 190.77/190.68 [9582]P1(f836(f836(f277(a899),x95821),x95822))+~P1(f836(f836(f277(a899),x95822),x95823))+~P1(f836(f836(f224(f906(a899,a895)),f280(a899,f277(a899),x95822,x95823)),f280(a899,f277(a899),x95821,x95824)))
% 190.77/190.68 [9583]P1(f836(f836(f277(a899),x95831),x95832))+~P1(f836(f836(f277(a899),x95832),x95833))+~P1(f836(f836(f225(f906(a899,a895)),f280(a899,f277(a899),x95832,x95833)),f280(a899,f277(a899),x95831,x95834)))
% 190.77/190.68 [9702]P30(x97021,f836(f836(f18(x97021,a895,a895),f836(f836(f8(a895,f906(a895,a895),x97021),a316),f836(f836(f8(a895,a895,x97021),a312),x97022))),f836(a314,x97023)),x97024)+~P1(f836(x97022,x97023))+~P34(x97021,x97022,f836(f836(f141(x97021),x97023),x97024))
% 190.77/190.68 [9867]~P30(x98671,f836(f836(f18(x98671,a895,a895),f836(f836(f8(a895,f906(a895,a895),x98671),a316),f836(f836(f8(a895,a895,x98671),a312),x98672))),f836(a314,x98673)),x98674)+~P1(f836(x98672,x98673))+P34(x98671,x98672,f836(f836(f141(x98671),x98673),x98674))
% 190.77/190.68 [9871]~P34(x98711,x98712,x98714)+~P30(x98711,f836(f836(f18(x98711,a895,a895),f836(f836(f8(a895,f906(a895,a895),x98711),a316),f836(f836(f8(a895,a895,x98711),a312),x98712))),f836(a314,x98713)),x98714)+P34(x98711,x98712,f836(f836(f141(x98711),x98713),x98714))
% 190.77/190.68 [9904]~P67(x99041)+E(f836(f836(f6(a899,x99041),f836(f836(f18(a899,x99041,x99041),f836(f836(f8(x99041,f906(x99041,x99041),a899),f23(x99041)),x99042)),f836(f836(f8(a899,x99041,a899),x99042),f836(f836(f7(a899,a899,a899),f74(a899)),f72(a899))))),f293(a899,x99043,x99044)),f2(x99041))+P1(f836(f836(f224(a899),x99043),x99044))
% 190.77/190.68 [10141]~P36(x101412,x101414)+~P24(x101412,x101411,x101413,f232(f906(x101412,a895)))+P36(x101411,f836(f300(f905(x101412,x101412),f905(x101411,x101411),f248(x101412,x101411,x101412,x101411,x101413,x101413)),x101414))
% 190.77/190.68 [10333]~E(f836(f179(f900(x103331)),x103333),f836(f179(f900(x103331)),x103332))+P1(f836(f836(f318(f905(f900(x103331),f900(x103331))),f836(f836(f242(f900(x103331),f900(x103331)),x103332),x103333)),f148(x103331,x103334)))+~P1(f836(f836(f247(x103331,x103331,a895),f836(f836(f7(x103331,f906(f905(x103331,x103331),a895),f906(x103331,a895)),f836(f836(f8(f906(x103331,f906(f906(f905(x103331,x103331),a895),a895)),f906(f906(f905(x103331,x103331),a895),f906(x103331,a895)),x103331),f7(x103331,f906(f905(x103331,x103331),a895),a895)),f836(f836(f8(f906(x103331,f905(x103331,x103331)),f906(x103331,f906(f906(f905(x103331,x103331),a895),a895)),x103331),f836(f8(f905(x103331,x103331),f906(f906(f905(x103331,x103331),a895),a895),x103331),f318(f905(x103331,x103331)))),f242(x103331,x103331)))),x103334)),f640(x103334,x103333,x103332,x103331)))
% 190.77/190.68 [6170]~P3(x61701)+~E(x61702,f2(x61701))+E(f836(f836(f31(x61701),f836(f836(f75(x61701),x61702),x61703)),f836(f836(f75(x61701),x61702),x61704)),f2(x61701))
% 190.77/190.68 [6212]E(x62121,f103(x62122))+E(x62123,f836(f836(f23(a899),f836(f179(f900(x62122)),x62121)),f72(a899)))+E(f134(x62122,f836(f836(f149(x62122,x62121),x62123),x62124)),f134(x62122,x62121))
% 190.77/190.68 [6249]E(x62491,x62492)+P1(f836(x62493,x62492))+~P1(f836(f836(f836(f299(x62494),x62491),x62493),x62492))
% 190.77/190.68 [6265]~P73(x62651)+~P1(f836(f127(x62652),x62654))+E(f836(f155(x62651),f836(f836(f144(x62652,x62651),x62653),x62654)),f836(f836(f6(x62652,x62651),x62653),f836(f162(x62652),x62654)))
% 190.77/190.68 [6281]~P74(x62812)+~P1(f836(f29(x62811),x62814))+E(f836(f836(f9(x62811,x62812),f836(f16(x62812,x62811),x62813)),x62814),f836(f836(f234(x62812),x62813),f836(f30(x62811),x62814)))
% 190.77/190.68 [6336]~P3(x63362)+E(x63361,f2(x63362))+E(f836(f836(f31(x63362),f836(f836(f75(x63362),x63363),x63361)),f836(f836(f75(x63362),x63364),x63361)),f836(f836(f31(x63362),x63363),x63364))
% 190.77/190.68 [6338]~P61(x63382)+E(x63381,f2(x63382))+E(f836(f836(f281(x63382),f836(f836(f75(x63382),x63383),x63381)),f836(f836(f75(x63382),x63384),x63381)),f836(f836(f281(x63382),x63383),x63384))
% 190.77/190.68 [6339]~P61(x63392)+E(x63391,f2(x63392))+E(f836(f836(f281(x63392),f836(f836(f75(x63392),x63391),x63393)),f836(f836(f75(x63392),x63391),x63394)),f836(f836(f281(x63392),x63393),x63394))
% 190.77/190.68 [6340]~P3(x63402)+E(x63401,f2(x63402))+E(f836(f836(f31(x63402),f836(f836(f75(x63402),x63401),x63403)),f836(f836(f75(x63402),x63401),x63404)),f836(f836(f31(x63402),x63403),x63404))
% 190.77/190.68 [6409]P1(f836(x64091,x64092))+~E(x64093,f836(f836(f74(a899),x64094),x64092))+~P1(f836(x64091,f836(f836(f23(a899),x64093),x64094)))
% 190.77/190.68 [6496]~P1(f836(x64962,x64963))+~P1(f836(f150(x64961,x64962),x64964))+P1(f836(f150(x64961,x64962),f836(f836(f141(x64961),x64963),x64964)))
% 190.77/190.68 [6538]E(x65381,f103(x65382))+~E(x65383,f836(f836(f23(a899),f836(f179(f900(x65382)),x65381)),f72(a899)))+E(f134(x65382,f836(f836(f149(x65382,x65381),x65383),x65384)),x65384)
% 190.77/190.68 [6562]~P108(x65621)+~P1(f836(f836(f224(x65621),x65622),x65624))+P1(f836(f836(f224(x65621),x65622),f836(f836(f223(x65621),x65623),x65624)))
% 190.77/190.68 [6564]~P108(x65641)+~P1(f836(f836(f224(x65641),x65642),x65643))+P1(f836(f836(f224(x65641),x65642),f836(f836(f223(x65641),x65643),x65644)))
% 190.77/190.68 [6565]~P98(x65651)+~P1(f836(f836(f224(x65651),x65652),x65654))+P1(f836(f836(f224(x65651),x65652),f836(f836(f91(x65651),x65653),x65654)))
% 190.77/190.68 [6566]~P98(x65661)+~P1(f836(f836(f224(x65661),x65662),x65663))+P1(f836(f836(f224(x65661),x65662),f836(f836(f91(x65661),x65663),x65664)))
% 190.77/190.68 [6568]~P108(x65681)+~P1(f836(f836(f225(x65681),x65682),x65684))+P1(f836(f836(f225(x65681),x65682),f836(f836(f223(x65681),x65683),x65684)))
% 190.77/190.68 [6570]~P108(x65701)+~P1(f836(f836(f225(x65701),x65702),x65703))+P1(f836(f836(f225(x65701),x65702),f836(f836(f223(x65701),x65703),x65704)))
% 190.77/190.68 [6571]~P98(x65711)+~P1(f836(f836(f225(x65711),x65712),x65714))+P1(f836(f836(f225(x65711),x65712),f836(f836(f91(x65711),x65713),x65714)))
% 190.77/190.68 [6572]~P98(x65721)+~P1(f836(f836(f225(x65721),x65722),x65723))+P1(f836(f836(f225(x65721),x65722),f836(f836(f91(x65721),x65723),x65724)))
% 190.77/190.68 [6573]~P112(x65731)+~P1(f836(f836(f277(x65731),x65732),x65734))+P1(f836(f836(f277(x65731),x65732),f836(f836(f75(x65731),x65733),x65734)))
% 190.77/190.68 [6574]~P112(x65741)+~P1(f836(f836(f277(x65741),x65742),x65743))+P1(f836(f836(f277(x65741),x65742),f836(f836(f75(x65741),x65743),x65744)))
% 190.77/190.68 [6667]~E(f836(f836(f154(x66671),x66672),x66673),x66674)+E(f836(f836(f149(x66671,x66672),x66673),x66674),x66672)+~P1(f836(f836(f225(a899),x66673),f836(f179(f900(x66671)),x66672)))
% 190.77/190.68 [6707]P1(f836(x67071,x67072))+~P1(f836(x67073,x67072))+~P1(f836(f836(f224(f906(x67074,a895)),x67073),x67071))
% 190.77/190.68 [6742]~E(f836(f836(f149(x67421,x67422),x67423),x67424),x67422)+E(f836(f836(f154(x67421),x67422),x67423),x67424)+~P1(f836(f836(f225(a899),x67423),f836(f179(f900(x67421)),x67422)))
% 190.77/190.68 [6756]~P1(f836(f150(x67561,x67562),x67564))+~P1(f836(f150(x67561,x67562),x67563))+P1(f836(f150(x67561,x67562),f836(f836(f124(x67561),x67563),x67564)))
% 190.77/190.68 [6866]E(x68661,f178(f906(x68662,a895)))+E(x68663,f178(f906(x68664,a895)))+~E(f836(f836(f244(x68664,x68662),x68663),f836(f16(f906(x68662,a895),x68664),x68661)),f178(f906(f905(x68664,x68662),a895)))
% 190.77/190.68 [6886]E(x68861,x68862)+P1(f836(f836(f318(x68863),x68861),x68864))+~P1(f836(f836(f318(x68863),x68861),f836(f836(f299(x68863),x68862),x68864)))
% 190.77/190.68 [6903]~P108(x69031)+P1(f836(f836(f224(x69031),x69032),x69033))+~P1(f836(f836(f224(x69031),x69032),f836(f836(f228(x69031),x69034),x69033)))
% 190.77/190.68 [6905]~P108(x69051)+P1(f836(f836(f224(x69051),x69052),x69053))+~P1(f836(f836(f224(x69051),x69052),f836(f836(f228(x69051),x69053),x69054)))
% 190.77/190.68 [6907]~P104(x69071)+P1(f836(f836(f224(x69071),x69072),x69073))+~P1(f836(f836(f224(x69071),x69072),f836(f836(f92(x69071),x69074),x69073)))
% 190.77/190.68 [6909]~P104(x69091)+P1(f836(f836(f224(x69091),x69092),x69093))+~P1(f836(f836(f224(x69091),x69092),f836(f836(f92(x69091),x69093),x69094)))
% 190.77/190.68 [6910]~P108(x69101)+P1(f836(f836(f225(x69101),x69102),x69103))+~P1(f836(f836(f225(x69101),x69102),f836(f836(f228(x69101),x69104),x69103)))
% 190.77/190.68 [6911]~P108(x69111)+P1(f836(f836(f225(x69111),x69112),x69113))+~P1(f836(f836(f225(x69111),x69112),f836(f836(f228(x69111),x69113),x69114)))
% 190.77/190.68 [6932]~E(f836(f836(f154(x69321),x69323),x69324),x69322)+P1(f836(f836(f318(x69321),x69322),f836(f162(x69321),x69323)))+~P1(f836(f836(f225(a899),x69324),f836(f179(f900(x69321)),x69323)))
% 190.77/190.68 [6942]~P108(x69421)+~P13(x69421,f836(f836(f141(x69421),x69422),f836(f836(f141(x69421),x69423),x69424)))+P1(f836(f836(f224(x69421),x69422),x69423))
% 190.77/190.68 [7091]~P30(x70912,x70911,x70913)+P1(f836(x70911,f836(f836(f154(x70912),x70913),x70914)))+~P1(f836(f836(f225(a899),x70914),f836(f179(f900(x70912)),x70913)))
% 190.77/190.68 [7109]E(x71091,f2(a1))+E(f836(f836(f31(a1),x71092),x71091),x71093)+~P1(f836(f45(x71092,x71091),f836(f836(f242(a1,a1),x71093),x71094)))
% 190.77/190.68 [7131]E(f41(a1,x71312,x71311),x71313)+E(x71311,f2(a1))+~P1(f836(f45(x71312,x71311),f836(f836(f242(a1,a1),x71314),x71313)))
% 190.77/190.68 [7250]P1(f836(f836(f318(x72501),x72502),x72503))+~P1(f836(f836(f318(x72501),x72502),x72504))+~P1(f836(f836(f225(f906(x72501,a895)),x72504),x72503))
% 190.77/190.68 [7251]P1(f836(f836(f318(x72511),x72512),x72513))+~P1(f836(f836(f318(x72511),x72512),x72514))+~P1(f836(f836(f224(f906(x72511,a895)),x72514),x72513))
% 190.77/190.68 [7262]~P120(x72621)+~E(x72623,f2(x72621))+P1(f836(f836(f277(x72621),f836(f836(f75(x72621),x72622),x72623)),f836(f836(f75(x72621),x72624),x72623)))
% 190.77/190.68 [7263]~P120(x72631)+~E(x72632,f2(x72631))+P1(f836(f836(f277(x72631),f836(f836(f75(x72631),x72632),x72633)),f836(f836(f75(x72631),x72632),x72634)))
% 190.77/190.68 [7363]P32(x73631,x73632,x73633)+~P1(f836(x73632,f836(f836(f154(x73631),x73633),x73634)))+~P1(f836(f836(f225(a899),x73634),f836(f179(f900(x73631)),x73633)))
% 190.77/190.68 [7478]~P107(x74782)+~P1(f836(f836(f225(f906(x74781,x74782)),x74783),x74784))+P1(f836(f836(f224(f906(x74781,x74782)),x74783),x74784))
% 190.77/190.68 [7602]~P1(f836(f836(f318(x76021),x76022),x76024))+P1(f836(f836(f318(x76021),x76022),f32(f906(x76021,a895),x76023)))+~P1(f836(f836(f318(f906(x76021,a895)),x76024),x76023))
% 190.77/190.68 [7604]~P112(x76041)+~P1(f836(f836(f224(a899),x76043),x76044))+P1(f836(f836(f277(x76041),f836(f836(f234(x76041),x76042),x76043)),f836(f836(f234(x76041),x76042),x76044)))
% 190.77/190.68 [7632]~P84(x76321)+~P1(f836(f836(f224(x76321),x76323),x76324))+P1(f836(f836(f224(x76321),f836(f836(f74(x76321),x76322),x76323)),f836(f836(f74(x76321),x76322),x76324)))
% 190.77/190.68 [7633]~P85(x76331)+~P1(f836(f836(f224(x76331),x76333),x76334))+P1(f836(f836(f224(x76331),f836(f836(f74(x76331),x76332),x76333)),f836(f836(f74(x76331),x76332),x76334)))
% 190.77/190.68 [7634]~P84(x76341)+~P1(f836(f836(f224(x76341),x76342),x76344))+P1(f836(f836(f224(x76341),f836(f836(f74(x76341),x76342),x76343)),f836(f836(f74(x76341),x76344),x76343)))
% 190.77/190.68 [7635]~P85(x76351)+~P1(f836(f836(f224(x76351),x76352),x76354))+P1(f836(f836(f224(x76351),f836(f836(f74(x76351),x76352),x76353)),f836(f836(f74(x76351),x76354),x76353)))
% 190.77/190.68 [7636]~P84(x76361)+~P1(f836(f836(f225(x76361),x76363),x76364))+P1(f836(f836(f225(x76361),f836(f836(f74(x76361),x76362),x76363)),f836(f836(f74(x76361),x76362),x76364)))
% 190.77/190.68 [7637]~P87(x76371)+~P1(f836(f836(f225(x76371),x76373),x76374))+P1(f836(f836(f225(x76371),f836(f836(f74(x76371),x76372),x76373)),f836(f836(f74(x76371),x76372),x76374)))
% 190.77/190.68 [7638]~P84(x76381)+~P1(f836(f836(f225(x76381),x76382),x76384))+P1(f836(f836(f225(x76381),f836(f836(f74(x76381),x76382),x76383)),f836(f836(f74(x76381),x76384),x76383)))
% 190.77/190.68 [7639]~P87(x76391)+~P1(f836(f836(f225(x76391),x76392),x76394))+P1(f836(f836(f225(x76391),f836(f836(f74(x76391),x76392),x76393)),f836(f836(f74(x76391),x76394),x76393)))
% 190.77/190.68 [7640]~P120(x76401)+~P1(f836(f836(f277(x76401),x76403),x76404))+P1(f836(f836(f277(x76401),f836(f836(f75(x76401),x76402),x76403)),f836(f836(f75(x76401),x76402),x76404)))
% 190.77/190.68 [7641]~P120(x76411)+~P1(f836(f836(f277(x76411),x76412),x76414))+P1(f836(f836(f277(x76411),f836(f836(f75(x76411),x76412),x76413)),f836(f836(f75(x76411),x76414),x76413)))
% 190.77/190.68 [7642]~P112(x76421)+~P1(f836(f836(f277(x76421),x76422),x76424))+P1(f836(f836(f277(x76421),f836(f836(f234(x76421),x76422),x76423)),f836(f836(f234(x76421),x76424),x76423)))
% 190.77/190.68 [7649]~P93(x76491)+~P132(x76491)+E(f836(f836(f23(x76491),f836(f836(f75(x76491),x76492),f836(f94(x76491),x76493))),f836(f836(f75(x76491),x76494),f836(f94(x76491),x76493))),f836(f836(f75(x76491),f836(f836(f23(x76491),x76492),x76494)),f836(f94(x76491),x76493)))
% 190.77/190.68 [7650]~P93(x76501)+~P141(x76501)+E(f836(f836(f74(x76501),f836(f836(f75(x76501),x76502),f836(f94(x76501),x76503))),f836(f836(f75(x76501),x76504),f836(f94(x76501),x76503))),f836(f836(f75(x76501),f836(f836(f74(x76501),x76502),x76504)),f836(f94(x76501),x76503)))
% 190.77/190.68 [7686]~P73(x76861)+E(f836(f836(f74(x76861),f836(x76862,x76863)),f836(f836(f6(a899,x76861),x76862),f293(a899,f836(a102,x76863),x76864))),f836(f836(f6(a899,x76861),x76862),f293(a899,x76863,x76864)))+~P1(f836(f836(f224(a899),x76863),x76864))
% 190.77/190.68 [7698]~P24(x76982,x76981,x76983,f836(f162(x76982),x76984))+~P1(f836(f127(x76982),x76984))+P1(f836(f127(x76981),f836(f836(f144(x76982,x76981),x76983),x76984)))
% 190.77/190.68 [7747]~P1(f836(f836(f224(a899),x77472),x77474))+~P1(f836(f836(f224(a899),x77471),x77473))+P1(f836(f836(f224(a899),f836(f836(f74(a899),x77471),x77472)),f836(f836(f74(a899),x77473),x77474)))
% 190.77/190.68 [7748]~P1(f836(f836(f224(a899),x77482),x77484))+~P1(f836(f836(f224(a899),x77481),x77483))+P1(f836(f836(f224(a899),f836(f836(f75(a899),x77481),x77482)),f836(f836(f75(a899),x77483),x77484)))
% 190.77/190.68 [7751]~P1(f836(f836(f225(a899),x77512),x77514))+~P1(f836(f836(f225(a899),x77511),x77513))+P1(f836(f836(f225(a899),f836(f836(f74(a899),x77511),x77512)),f836(f836(f74(a899),x77513),x77514)))
% 190.77/190.68 [7752]~P1(f836(f836(f224(a1),x77522),x77524))+~P1(f836(f836(f225(a1),x77521),x77523))+P1(f836(f836(f225(a1),f836(f836(f74(a1),x77521),x77522)),f836(f836(f74(a1),x77523),x77524)))
% 190.77/190.68 [7800]P1(f836(f836(f318(x78001),x78002),x78003))+~P1(f836(f836(f318(x78001),x78002),f33(f906(x78001,a895),x78004)))+~P1(f836(f836(f318(f906(x78001,a895)),x78003),x78004))
% 190.77/190.68 [7817]~P1(f836(x78171,f636(x78171,x78173,x78172)))+P1(f836(x78171,f836(f836(f154(x78172),x78173),x78174)))+~P1(f836(f836(f225(a899),x78174),f836(f179(f900(x78172)),x78173)))
% 190.77/190.68 [7822]P1(f836(x78221,x78222))+~P1(f836(f836(f318(x78224),x78222),f836(f162(x78224),x78223)))+P1(f836(f836(f225(a899),f638(x78221,x78223,x78224)),f836(f179(f900(x78224)),x78223)))
% 190.77/190.68 [7869]~P107(x78691)+~P1(f836(f836(f225(f906(x78692,x78691)),x78694),x78693))+~P1(f836(f836(f224(f906(x78692,x78691)),x78693),x78694))
% 190.77/190.68 [7914]~P1(f836(x79144,x79142))+~P1(f836(f836(f318(x79141),x79142),x79143))+P1(f836(f836(f318(x79141),x79142),f836(f836(f92(f906(x79141,a895)),x79143),f836(f252(x79141),x79144))))
% 190.77/190.68 [8059]~P1(f836(f836(f318(x80591),x80593),x80594))+~P1(f836(f836(f225(f906(x80591,a895)),x80592),x80594))+P1(f836(f836(f225(f906(x80591,a895)),x80592),f836(f836(f299(x80591),x80593),x80594)))
% 190.77/190.68 [8061]E(f836(f836(f92(f906(x80611,a895)),x80612),x80613),f178(f906(x80611,a895)))+~E(f836(f836(f92(f906(x80611,a895)),f32(f906(x80611,a895),x80614)),x80613),f178(f906(x80611,a895)))+~P1(f836(f836(f318(f906(x80611,a895)),x80612),x80614))
% 190.77/190.68 [8134]P1(f836(f836(f318(x81341),x81342),x81343))+~P1(f836(f836(f224(f906(x81341,a895)),x81343),f836(f836(f299(x81341),x81342),x81344)))+P1(f836(f836(f224(f906(x81341,a895)),x81343),x81344))
% 190.77/190.68 [8151]P1(f836(f836(f318(x81512),f636(x81511,x81513,x81512)),f836(f162(x81512),x81513)))+P1(f836(x81511,f836(f836(f154(x81512),x81513),x81514)))+~P1(f836(f836(f225(a899),x81514),f836(f179(f900(x81512)),x81513)))
% 190.77/190.68 [8159]~P1(f836(f836(f224(f906(x81591,a895)),x81592),x81594))+P1(f836(f836(f224(f906(x81591,a895)),x81592),x81593))+~P1(f836(f836(f224(f906(x81591,a895)),x81594),x81593))
% 190.77/190.68 [8160]~P1(f836(f836(f225(f906(x81601,a895)),x81602),x81604))+~P1(f836(f836(f224(f906(x81601,a895)),x81604),x81603))+P1(f836(f836(f225(f906(x81601,a895)),x81602),x81603))
% 190.77/190.68 [8161]~P1(f836(f836(f224(f906(x81611,a895)),x81612),x81614))+~P1(f836(f836(f225(f906(x81611,a895)),x81614),x81613))+P1(f836(f836(f225(f906(x81611,a895)),x81612),x81613))
% 190.77/190.68 [8162]~P1(f836(f836(f225(f906(x81621,a895)),x81622),x81624))+P1(f836(f836(f225(f906(x81621,a895)),x81622),x81623))+~P1(f836(f836(f225(f906(x81621,a895)),x81624),x81623))
% 190.77/190.68 [8206]~P1(f836(f836(f318(x82061),x82064),x82063))+~P1(f836(f836(f225(f906(x82061,a895)),x82062),f836(f836(f299(x82061),x82064),x82063)))+P1(f836(f836(f225(f906(x82061,a895)),x82062),x82063))
% 190.77/190.68 [8217]~P84(x82171)+P1(f836(f836(f224(x82171),x82172),x82173))+~P1(f836(f836(f224(x82171),f836(f836(f74(x82171),x82174),x82172)),f836(f836(f74(x82171),x82174),x82173)))
% 190.77/190.68 [8219]~P84(x82191)+P1(f836(f836(f224(x82191),x82192),x82193))+~P1(f836(f836(f224(x82191),f836(f836(f74(x82191),x82192),x82194)),f836(f836(f74(x82191),x82193),x82194)))
% 190.77/190.68 [8221]~P84(x82211)+P1(f836(f836(f225(x82211),x82212),x82213))+~P1(f836(f836(f225(x82211),f836(f836(f74(x82211),x82214),x82212)),f836(f836(f74(x82211),x82214),x82213)))
% 190.77/190.68 [8223]~P84(x82231)+P1(f836(f836(f225(x82231),x82232),x82233))+~P1(f836(f836(f225(x82231),f836(f836(f74(x82231),x82232),x82234)),f836(f836(f74(x82231),x82233),x82234)))
% 190.77/190.68 [8274]P1(f836(x82741,x82742))+~E(f836(f836(f128(x82743),f836(f179(f900(x82743)),f167(x82743,x82741,x82744))),x82744),f103(x82743))+~P1(f836(f836(f318(x82743),x82742),f836(f162(x82743),x82744)))
% 190.77/190.68 [8393]P1(f836(x83931,x83932))+~P1(f836(f836(f318(x83933),x83932),f836(f162(x83933),x83934)))+P1(f836(f836(f225(a899),f836(f179(f900(x83933)),f836(f126(x83933,x83931),x83934))),f836(f179(f900(x83933)),x83934)))
% 190.77/190.68 [8882]~P1(f836(x88821,f731(x88821,x88823,x88822,x88824)))+P1(f836(x88821,f836(f836(f154(x88822),x88823),x88824)))+~P1(f836(f836(f225(a899),x88824),f836(f179(f900(x88822)),x88823)))
% 190.77/190.68 [8906]~P24(x89064,x89063,x89061,f232(f906(x89064,a895)))+E(f836(x89061,f446(x89062,x89061,x89063,x89064)),x89062)+~P1(f836(f836(f318(x89063),x89062),f836(f300(x89064,x89063,x89061),f232(f906(x89064,a895)))))
% 190.77/190.68 [8974]E(f167(x89741,x89742,x89743),f836(f836(f165(x89741),x89744),x89743))+P1(f836(f836(f225(a899),f700(x89742,x89743,x89741,x89744)),x89744))+P1(f836(f836(f225(a899),x89744),f836(f179(f900(x89741)),x89743)))
% 190.77/190.68 [8977]E(f167(x89771,x89772,x89773),f836(f836(f165(x89771),x89774),x89773))+P1(f836(f836(f225(a899),f700(x89772,x89773,x89771,x89774)),x89774))+P1(f836(x89772,f836(f836(f154(x89771),x89773),x89774)))
% 190.77/190.68 [9012]P1(f836(x90121,x90122))+~P1(f836(f836(f318(x90124),x90122),f836(f162(x90124),x90123)))+P1(f836(f836(f225(a899),f674(x90122,x90121,x90123,x90124)),f836(f179(f900(x90124)),x90123)))
% 190.77/190.68 [9014]E(f167(x90141,x90142,x90143),f836(f836(f165(x90141),x90144),x90143))+P1(f836(f836(f225(a899),x90144),f836(f179(f900(x90141)),x90143)))+P1(f836(f836(f225(a899),f700(x90142,x90143,x90141,x90144)),f836(f179(f900(x90141)),x90143)))
% 190.77/190.68 [9021]E(f167(x90211,x90212,x90213),f836(f836(f165(x90211),x90214),x90213))+P1(f836(x90212,f836(f836(f154(x90211),x90213),x90214)))+P1(f836(f836(f225(a899),f700(x90212,x90213,x90211,x90214)),f836(f179(f900(x90211)),x90213)))
% 190.77/190.68 [9046]~P110(x90464)+P1(f836(f836(f318(x90461),f621(x90462,x90463,x90461,x90464)),x90463))+P1(f836(f836(f225(x90464),f2(x90464)),f836(f836(f9(x90461,x90464),x90462),x90463)))
% 190.77/190.68 [9047]~P110(x90474)+P1(f836(f836(f318(x90471),f623(x90472,x90473,x90471,x90474)),x90473))+P1(f836(f836(f224(x90474),f2(x90474)),f836(f836(f9(x90471,x90474),x90472),x90473)))
% 190.77/190.68 [9072]~P1(f836(f29(x90721),x90724))+P1(f836(f836(f318(x90721),f471(x90722,x90723,x90724,x90721)),x90724))+P1(f836(f29(f905(x90721,x90723)),f836(f836(f244(x90721,x90723),x90724),x90722)))
% 190.77/190.68 [9104]P1(f836(f836(f318(x91042),f731(x91041,x91043,x91042,x91044)),f836(f162(x91042),x91043)))+P1(f836(x91041,f836(f836(f154(x91042),x91043),x91044)))+~P1(f836(f836(f225(a899),x91044),f836(f179(f900(x91042)),x91043)))
% 190.77/190.68 [9234]P1(f836(f836(f224(a899),x92344),f836(f179(f900(x92342)),f167(x92342,x92343,x92341))))+P1(f836(f836(f225(a899),f701(x92341,x92342,x92343,x92344)),x92344))+~P1(f836(f836(f224(a899),x92344),f836(f179(f900(x92342)),x92341)))
% 190.77/190.68 [9390]E(f167(x93901,x93902,x93903),f836(f836(f165(x93901),x93904),x93903))+~P1(f836(x93902,f836(f836(f154(x93901),x93903),f700(x93902,x93903,x93901,x93904))))+P1(f836(f836(f225(a899),x93904),f836(f179(f900(x93901)),x93903)))
% 190.77/190.68 [9397]E(f167(x93971,x93972,x93973),f836(f836(f165(x93971),x93974),x93973))+~P1(f836(x93972,f836(f836(f154(x93971),x93973),f700(x93972,x93973,x93971,x93974))))+P1(f836(x93972,f836(f836(f154(x93971),x93973),x93974)))
% 190.77/190.68 [9401]~P1(f836(f29(x94011),x94013))+~P1(f836(f29(x94012),f836(x94014,f471(x94014,x94012,x94013,x94011))))+P1(f836(f29(f905(x94011,x94012)),f836(f836(f244(x94011,x94012),x94013),x94014)))
% 190.77/190.68 [9409]~P110(x94091)+~P1(f836(f836(f224(x94091),f2(x94091)),f836(x94093,f623(x94093,x94094,x94092,x94091))))+P1(f836(f836(f224(x94091),f2(x94091)),f836(f836(f9(x94092,x94091),x94093),x94094)))
% 190.77/190.68 [9410]~P110(x94101)+~P1(f836(f836(f225(x94101),f2(x94101)),f836(x94103,f621(x94103,x94104,x94102,x94101))))+P1(f836(f836(f225(x94101),f2(x94101)),f836(f836(f9(x94102,x94101),x94103),x94104)))
% 190.77/190.68 [9418]~E(f836(f179(f900(x94184)),x94182),f836(f179(f900(x94184)),x94183))+P1(f836(f836(f318(f905(f900(x94184),f900(x94184))),f836(f836(f242(f900(x94184),f900(x94184)),x94183),x94182)),f148(x94184,x94181)))+P1(f836(f836(f225(a899),f633(x94181,x94182,x94183,x94184)),f836(f179(f900(x94184)),x94183)))
% 190.77/190.68 [9470]~P1(f836(x94703,f836(f836(f154(x94702),x94704),f701(x94704,x94702,x94703,x94701))))+P1(f836(f836(f224(a899),x94701),f836(f179(f900(x94702)),f167(x94702,x94703,x94704))))+~P1(f836(f836(f224(a899),x94701),f836(f179(f900(x94702)),x94704)))
% 190.77/190.68 [9551]E(f836(f836(f165(x95511),f637(x95512,x95513,x95514,x95511)),x95513),f836(f836(f165(x95511),f637(x95512,x95513,x95514,x95511)),x95514))+~P1(f836(f836(f318(f905(f900(x95511),f900(x95511))),f836(f836(f242(f900(x95511),f900(x95511)),x95514),x95513)),f137(x95511,x95512)))+P1(f836(f836(f225(a899),f836(f179(f900(x95511)),x95514)),f836(f179(f900(x95511)),x95513)))
% 190.77/190.68 [9616]~P1(f836(f836(f225(a899),f2(a899)),x96163))+~P1(f836(f836(f225(a899),x96164),x96161))+P1(f836(f836(f225(a899),f836(f836(f74(a899),f836(f836(f75(a899),x96161),f41(a899,x96162,x96163))),x96164)),f836(f836(f75(a899),x96161),x96163)))
% 190.77/190.68 [9807]~P107(x98072)+~P1(f836(f836(f224(x98072),f836(x98073,f768(x98074,x98073,x98071,x98072))),f836(x98074,f768(x98074,x98073,x98071,x98072))))+P1(f836(f836(f224(f906(x98071,x98072)),x98073),x98074))
% 190.77/190.68 [9909]~P67(x99091)+E(f836(f836(f6(a899,x99091),f836(f836(f18(a899,x99091,x99091),f836(f836(f8(x99091,f906(x99091,x99091),a899),f23(x99091)),x99092)),f836(f836(f8(a899,x99091,a899),x99092),f836(f836(f7(a899,a899,a899),f74(a899)),f72(a899))))),f293(a899,x99093,x99094)),f836(f836(f23(x99091),f836(x99092,x99093)),f836(x99092,f836(f836(f74(a899),x99094),f72(a899)))))+~P1(f836(f836(f224(a899),x99093),x99094))
% 190.77/190.68 [9984]~P36(x99843,f836(f836(f279(x99843,x99843,x99843),x99842),f297(x99843,x99842)))+~P1(f836(f836(f318(f905(x99843,x99843)),f836(f836(f242(x99843,x99843),f836(x99841,f836(a102,f812(x99842,x99841,x99843)))),f836(x99841,f812(x99842,x99841,x99843)))),f297(x99843,x99842)))+E(f836(x99841,f836(f836(f74(a899),f811(x99842,x99841,x99843)),x99844)),f836(x99841,f811(x99842,x99841,x99843)))
% 190.77/190.68 [6849]~P3(x68491)+E(f836(f836(f31(x68491),f836(f836(f75(x68491),x68492),x68493)),x68494),f836(f836(f75(x68491),x68492),f836(f836(f31(x68491),x68493),x68494)))+~P1(f836(f836(f277(x68491),x68494),x68493))
% 190.77/190.68 [6936]E(f836(f836(f124(x69361),x69362),x69363),x69364)+~E(x69363,f836(f836(f128(x69361),f836(f179(f900(x69361)),x69362)),x69364))+~E(f836(f836(f165(x69361),f836(f179(f900(x69361)),x69362)),x69364),x69362)
% 190.77/190.68 [6992]~P62(x69922)+E(x69921,f2(x69922))+E(f836(f836(f281(x69922),f836(f836(f234(x69922),x69923),x69924)),f836(f836(f234(x69922),x69921),x69924)),f836(f836(f234(x69922),f836(f836(f281(x69922),x69923),x69921)),x69924))
% 190.77/190.68 [7139]~P3(x71391)+E(f836(f836(f31(x71391),f836(f836(f75(x71391),x71392),x71393)),x71394),f836(f836(f75(x71391),f836(f836(f31(x71391),x71392),x71394)),x71393))+~P1(f836(f836(f277(x71391),x71394),x71392))
% 190.77/190.68 [7148]~P108(x71481)+~P1(f836(f836(f224(x71481),x71483),x71484))+P1(f836(f836(f224(x71481),f836(f836(f228(x71481),x71482),x71483)),x71484))
% 190.77/190.68 [7150]~P108(x71501)+~P1(f836(f836(f224(x71501),x71502),x71504))+P1(f836(f836(f224(x71501),f836(f836(f228(x71501),x71502),x71503)),x71504))
% 190.77/190.68 [7151]~P104(x71511)+~P1(f836(f836(f224(x71511),x71513),x71514))+P1(f836(f836(f224(x71511),f836(f836(f92(x71511),x71512),x71513)),x71514))
% 190.77/190.68 [7152]~P104(x71521)+~P1(f836(f836(f224(x71521),x71522),x71524))+P1(f836(f836(f224(x71521),f836(f836(f92(x71521),x71522),x71523)),x71524))
% 190.77/190.68 [7154]~P108(x71541)+~P1(f836(f836(f225(x71541),x71543),x71544))+P1(f836(f836(f225(x71541),f836(f836(f228(x71541),x71542),x71543)),x71544))
% 190.77/190.68 [7156]~P108(x71561)+~P1(f836(f836(f225(x71561),x71562),x71564))+P1(f836(f836(f225(x71561),f836(f836(f228(x71561),x71562),x71563)),x71564))
% 190.77/190.68 [7157]~P104(x71571)+~P1(f836(f836(f225(x71571),x71573),x71574))+P1(f836(f836(f225(x71571),f836(f836(f92(x71571),x71572),x71573)),x71574))
% 190.77/190.68 [7158]~P104(x71581)+~P1(f836(f836(f225(x71581),x71582),x71584))+P1(f836(f836(f225(x71581),f836(f836(f92(x71581),x71582),x71583)),x71584))
% 190.77/190.68 [7181]~P1(f836(x71813,x71814))+~P1(f836(x71812,x71814))+P1(f836(f836(f836(f92(f906(x71811,a895)),x71812),x71813),x71814))
% 190.77/190.68 [7443]~P3(x74431)+E(f836(f836(f31(x74431),f836(f836(f234(x74431),x74432),x74433)),f836(f836(f234(x74431),x74434),x74433)),f836(f836(f234(x74431),f836(f836(f31(x74431),x74432),x74434)),x74433))+~P1(f836(f836(f277(x74431),x74434),x74432))
% 190.77/190.68 [7676]~P73(x76761)+E(f836(f836(f74(x76761),f836(x76762,x76763)),f836(f836(f6(a899,x76761),x76762),f836(f292(a899,f836(a102,x76763)),x76764))),f836(f836(f6(a899,x76761),x76762),f836(f292(a899,x76763),x76764)))+~P1(f836(f836(f225(a899),x76763),x76764))
% 190.77/190.68 [7694]E(x76941,x76942)+P1(f836(f836(f162(x76943),x76944),x76942))+~P1(f836(f836(f162(x76943),f836(f836(f141(x76943),x76941),x76944)),x76942))
% 190.77/190.68 [7706]~P108(x77061)+P1(f836(f836(f224(x77061),x77062),x77063))+~P1(f836(f836(f224(x77061),f836(f836(f223(x77061),x77064),x77062)),x77063))
% 190.77/190.68 [7708]~P108(x77081)+P1(f836(f836(f224(x77081),x77082),x77083))+~P1(f836(f836(f224(x77081),f836(f836(f223(x77081),x77082),x77084)),x77083))
% 190.77/190.68 [7710]~P98(x77101)+P1(f836(f836(f224(x77101),x77102),x77103))+~P1(f836(f836(f224(x77101),f836(f836(f91(x77101),x77104),x77102)),x77103))
% 190.77/190.68 [7712]~P98(x77121)+P1(f836(f836(f224(x77121),x77122),x77123))+~P1(f836(f836(f224(x77121),f836(f836(f91(x77121),x77122),x77124)),x77123))
% 190.77/190.68 [7713]~P108(x77131)+P1(f836(f836(f225(x77131),x77132),x77133))+~P1(f836(f836(f225(x77131),f836(f836(f223(x77131),x77134),x77132)),x77133))
% 190.77/190.68 [7714]~P108(x77141)+P1(f836(f836(f225(x77141),x77142),x77143))+~P1(f836(f836(f225(x77141),f836(f836(f223(x77141),x77142),x77144)),x77143))
% 190.77/190.68 [7715]~P112(x77151)+P1(f836(f836(f277(x77151),x77152),x77153))+~P1(f836(f836(f277(x77151),f836(f836(f75(x77151),x77154),x77152)),x77153))
% 190.77/190.68 [7716]~P112(x77161)+P1(f836(f836(f277(x77161),x77162),x77163))+~P1(f836(f836(f277(x77161),f836(f836(f75(x77161),x77162),x77164)),x77163))
% 190.77/190.68 [7792]~P1(f836(f836(f318(x77921),x77922),x77924))+P1(f836(f836(f318(x77921),x77922),x77923))+P1(f836(f836(f318(x77921),x77922),f836(f836(f23(f906(x77921,a895)),x77924),x77923)))
% 190.77/190.68 [7876]P1(f836(x78761,x78762))+P1(f836(x78763,x78762))+~P1(f836(f836(f836(f91(f906(x78764,a895)),x78763),x78761),x78762))
% 190.77/190.68 [7888]~P1(f836(f836(f318(x78881),x78882),x78884))+~P1(f836(f836(f318(x78881),x78882),x78883))+P1(f836(f836(f318(x78881),x78882),f836(f836(f92(f906(x78881,a895)),x78883),x78884)))
% 190.77/190.68 [7936]~P108(x79361)+~P1(f836(f29(x79361),x79364))+E(f836(f836(f59(x79361,x79361,f228(x79361)),x79362),f836(f836(f299(x79361),x79363),x79364)),f836(f836(f228(x79361),x79363),f836(f836(f59(x79361,x79361,f228(x79361)),x79362),x79364)))
% 190.77/190.68 [7937]~P108(x79371)+~P1(f836(f29(x79371),x79374))+E(f836(f836(f59(x79371,x79371,f223(x79371)),x79372),f836(f836(f299(x79371),x79373),x79374)),f836(f836(f223(x79371),x79373),f836(f836(f59(x79371,x79371,f223(x79371)),x79372),x79374)))
% 190.77/190.68 [7938]~P98(x79381)+~P1(f836(f29(x79381),x79384))+E(f836(f836(f59(x79381,x79381,f91(x79381)),x79382),f836(f836(f299(x79381),x79383),x79384)),f836(f836(f91(x79381),x79383),f836(f836(f59(x79381,x79381,f91(x79381)),x79382),x79384)))
% 190.77/190.68 [7939]~P104(x79391)+~P1(f836(f29(x79391),x79394))+E(f836(f836(f59(x79391,x79391,f92(x79391)),x79392),f836(f836(f299(x79391),x79393),x79394)),f836(f836(f92(x79391),x79393),f836(f836(f59(x79391,x79391,f92(x79391)),x79392),x79394)))
% 190.77/190.68 [7941]~P93(x79411)+~P132(x79411)+E(f836(f836(f23(x79411),f836(f836(f75(x79411),f836(f94(x79411),x79412)),x79413)),f836(f836(f75(x79411),f836(f94(x79411),x79412)),x79414)),f836(f836(f75(x79411),f836(f94(x79411),x79412)),f836(f836(f23(x79411),x79413),x79414)))
% 190.77/190.68 [7942]~P93(x79421)+~P141(x79421)+E(f836(f836(f74(x79421),f836(f836(f75(x79421),f836(f94(x79421),x79422)),x79423)),f836(f836(f75(x79421),f836(f94(x79421),x79422)),x79424)),f836(f836(f75(x79421),f836(f94(x79421),x79422)),f836(f836(f74(x79421),x79423),x79424)))
% 190.77/190.68 [8057]E(x80571,x80572)+P1(f836(f836(f318(x80573),x80571),f836(f162(x80573),x80574)))+~P1(f836(f836(f318(x80573),x80571),f836(f162(x80573),f836(f836(f141(x80573),x80572),x80574))))
% 190.77/190.68 [8228]P54(x82281,x82282,x82283)+~P54(x82281,x82282,x82284)+~P1(f836(f836(f224(f906(f905(x82281,x82282),a895)),x82283),x82284))
% 190.77/190.68 [8276]P1(f836(f836(f318(x82761),x82762),x82763))+P1(f836(f836(f318(x82761),x82762),x82764))+~P1(f836(f836(f318(x82761),x82762),f836(f836(f91(f906(x82761,a895)),x82764),x82763)))
% 190.77/190.68 [8286]~P52(x82861,x82864,x82863)+~P1(f836(f836(f318(x82861),x82862),x82864))+P1(f836(f836(f318(f905(x82861,x82861)),f836(f836(f242(x82861,x82861),x82862),x82862)),x82863))
% 190.77/190.68 [8298]~P1(f836(f29(x82982),x82984))+~P1(f836(f29(x82981),x82983))+P1(f836(f29(f905(x82981,x82982)),f836(f836(f244(x82981,x82982),x82983),f836(f16(f906(x82982,a895),x82981),x82984))))
% 190.77/190.68 [8299]~P1(f836(f836(f318(x82991),x82992),x82994))+~P1(f836(f836(f224(f906(x82991,a895)),x82993),x82994))+P1(f836(f836(f224(f906(x82991,a895)),f836(f836(f299(x82991),x82992),x82993)),x82994))
% 190.77/190.68 [8306]~P74(x83062)+~P144(x83062)+E(f836(f836(f9(x83061,x83062),f836(f836(f8(a899,x83062,x83061),f90(x83062)),x83063)),x83064),f836(f90(x83062),f836(f836(f9(x83061,a899),x83063),x83064)))
% 190.77/190.68 [8307]~P128(x83072)+~P74(x83072)+E(f836(f836(f9(x83071,x83072),f836(f836(f8(a1,x83072,x83071),f93(x83072)),x83073)),x83074),f836(f93(x83072),f836(f836(f9(x83071,a1),x83073),x83074)))
% 190.77/190.68 [8331]E(f836(f836(f23(f906(x83311,a895)),x83312),f836(f836(f23(f906(x83311,a895)),x83313),x83314)),x83314)+~P1(f836(f836(f224(f906(x83311,a895)),x83312),x83313))+~P1(f836(f836(f224(f906(x83311,a895)),x83314),x83312))
% 190.77/190.68 [8428]~P1(f836(f29(x84281),x84284))+E(f836(f836(f23(a899),f836(f836(f6(x84281,a899),x84282),x84283)),f836(f836(f6(x84281,a899),x84282),x84284)),f836(f836(f6(x84281,a899),x84282),f836(f836(f23(f906(x84281,a895)),x84283),x84284)))+~P1(f836(f836(f224(f906(x84281,a895)),x84284),x84283))
% 190.77/190.68 [8580]~P8(x85801,x85804,x85803)+~P1(f836(f836(f318(x85801),x85802),x85804))+P1(f836(f836(f318(x85801),x85802),f836(f275(x85801,x85801,x85803),f836(f836(f299(x85801),x85802),f178(f906(x85801,a895))))))
% 190.77/190.68 [8641]~P1(f836(f836(f224(f906(x86411,a895)),x86412),x86413))+~P1(f836(f836(f224(f906(x86411,a895)),x86412),x86414))+P1(f836(f836(f224(f906(x86411,a895)),x86412),f836(f836(f92(f906(x86411,a895)),x86413),x86414)))
% 190.77/190.68 [8743]E(x87431,f178(f906(x87432,a895)))+P1(f836(f29(x87433),x87434))+~P1(f836(f29(f905(x87433,x87432)),f836(f836(f244(x87433,x87432),x87434),f836(f16(f906(x87432,a895),x87433),x87431))))
% 190.77/190.68 [8744]E(x87441,f178(f906(x87442,a895)))+P1(f836(f29(x87443),x87444))+~P1(f836(f29(f905(x87442,x87443)),f836(f836(f244(x87442,x87443),x87441),f836(f16(f906(x87443,a895),x87442),x87444))))
% 190.77/190.68 [8817]P1(f836(f836(f318(x88171),x88172),f306(x88171,x88173)))+~P1(f836(f836(f318(x88171),x88174),f306(x88171,x88173)))+~P1(f836(f836(f318(f905(x88171,x88171)),f836(f836(f242(x88171,x88171),x88172),x88174)),x88173))
% 190.77/190.68 [8874]~P36(x88741,x88744)+P1(f836(f836(f318(f905(x88741,x88741)),f836(f836(f242(x88741,x88741),x88743),x88742)),f297(x88741,x88744)))+P36(x88741,f836(f836(f299(f905(x88741,x88741)),f836(f836(f242(x88741,x88741),x88742),x88743)),x88744))
% 190.77/190.68 [8875]~P57(x88751,x88754)+P1(f836(f836(f318(f905(x88751,x88751)),f836(f836(f242(x88751,x88751),x88753),x88752)),f297(x88751,x88754)))+P57(x88751,f836(f836(f299(f905(x88751,x88751)),f836(f836(f242(x88751,x88751),x88752),x88753)),x88754))
% 190.77/190.68 [8957]~E(x89572,x89573)+~P1(f836(f836(f318(x89571),x89572),f836(f162(x89571),x89574)))+P1(f836(f836(f318(f905(x89571,x89571)),f836(f836(f242(x89571,x89571),x89572),x89573)),f836(f162(f905(x89571,x89571)),f836(f836(f171(x89571,x89571),x89574),x89574))))
% 190.77/190.68 [9045]~E(x90453,x90454)+P1(f836(f836(f247(x90451,x90451,a895),a314),x90452))+~P1(f836(f836(f318(f905(x90451,x90451)),x90452),f836(f162(f905(x90451,x90451)),f836(f836(f171(x90451,x90451),x90453),x90454))))
% 190.77/190.68 [9089]P1(f836(f836(f318(f905(f900(x90891),f900(x90891))),f836(f836(f242(f900(x90891),f900(x90891)),x90892),x90893)),f137(x90891,x90894)))+~E(f836(f836(f165(x90891),f836(f179(f900(x90891)),x90892)),x90893),x90892)+~P1(f836(f836(f225(a899),f836(f179(f900(x90891)),x90892)),f836(f179(f900(x90891)),x90893)))
% 190.77/190.68 [9092]~P51(x90921,x90924)+~P1(f836(f836(f318(f905(x90921,x90921)),f836(f836(f242(x90921,x90921),x90923),x90922)),x90924))+P1(f836(f836(f318(f905(x90921,x90921)),f836(f836(f242(x90921,x90921),x90922),x90923)),x90924))
% 190.77/190.68 [9184]~P1(f836(f29(x91841),x91844))+P1(f836(f836(f318(x91841),f422(x91842,x91843,x91844,x91841)),x91844))+P1(f836(f29(x91843),f836(f836(f35(x91841,f906(x91843,a895)),x91844),x91842)))
% 190.77/190.68 [9185]~P1(f836(f29(x91851),x91854))+P1(f836(f836(f318(x91851),f519(x91852,x91853,x91854,x91851)),x91854))+P1(f836(f29(x91853),f836(f836(f35(x91851,f906(x91853,a895)),x91854),x91852)))
% 190.77/190.68 [9270]P1(f836(f836(f318(f905(x92701,x92701)),x92702),f836(f836(f279(x92701,x92701,x92701),x92703),f297(x92701,x92703))))+~P1(f836(f836(f225(a899),f2(a899)),x92704))+~P1(f836(f836(f318(f905(x92701,x92701)),x92702),f836(f836(f173(f905(x92701,x92701),a895),x92704),x92703)))
% 190.77/190.68 [9278]~P36(x92781,x92782)+~P1(f836(f836(f318(f905(x92781,x92781)),f836(f836(f242(x92781,x92781),x92784),x92783)),x92782))+~P1(f836(f836(f318(f905(x92781,x92781)),f836(f836(f242(x92781,x92781),x92783),x92784)),x92782))
% 190.77/190.68 [9408]~P1(f836(f29(x94081),x94084))+E(f836(f836(f6(x94081,a899),f836(f836(f8(f906(x94082,a895),a899,x94081),f30(x94082)),x94083)),x94084),f836(f30(f905(x94081,x94082)),f836(f836(f244(x94081,x94082),x94084),x94083)))+P1(f836(f836(f318(x94081),f473(x94083,x94082,x94084,x94081)),x94084))
% 190.77/190.68 [9412]~P1(f836(f127(x94121),x94122))+P1(f836(f127(x94121),f836(f836(f149(x94121,x94122),x94123),x94124)))+P1(f836(f836(f318(x94121),x94124),f836(f836(f23(f906(x94121,a895)),f836(f162(x94121),x94122)),f836(f836(f299(x94121),f836(f836(f154(x94121),x94122),x94123)),f178(f906(x94121,a895))))))
% 190.77/190.68 [9429]~P1(f836(f29(x94292),x94293))+~P1(f836(f29(x94291),f836(x94294,f422(x94294,x94291,x94293,x94292))))+P1(f836(f29(x94291),f836(f836(f35(x94292,f906(x94291,a895)),x94293),x94294)))
% 190.77/190.68 [9430]~P1(f836(f29(x94302),x94303))+~P1(f836(f29(x94301),f836(x94304,f519(x94304,x94301,x94303,x94302))))+P1(f836(f29(x94301),f836(f836(f35(x94302,f906(x94301,a895)),x94303),x94304)))
% 190.77/190.68 [9508]~P1(f836(f836(f318(f905(x95081,x95081)),x95082),f836(f836(f279(x95081,x95081,x95081),x95084),f297(x95081,x95084))))+P1(f836(f836(f318(f905(x95081,x95081)),x95082),f836(f836(f279(x95081,x95081,x95081),x95083),f297(x95081,x95083))))+~P1(f836(f836(f224(f906(f905(x95081,x95081),a895)),x95084),x95083))
% 190.77/190.68 [9518]E(f836(f836(f165(x95181),f637(x95184,x95183,x95182,x95181)),x95183),f836(f836(f165(x95181),f637(x95184,x95183,x95182,x95181)),x95182))+~P1(f836(f836(f318(f905(f900(x95181),f900(x95181))),f836(f836(f242(f900(x95181),f900(x95181)),x95182),x95183)),f137(x95181,x95184)))+E(f836(f836(f165(x95181),f836(f179(f900(x95181)),x95182)),x95183),x95182)
% 190.77/190.68 [9534]~P1(f836(f29(x95341),x95344))+E(f836(f836(f6(x95341,a899),f836(f836(f8(f906(x95342,a895),a899,x95341),f30(x95342)),x95343)),x95344),f836(f30(f905(x95341,x95342)),f836(f836(f244(x95341,x95342),x95344),x95343)))+~P1(f836(f29(x95342),f836(x95343,f473(x95343,x95342,x95344,x95341))))
% 190.77/190.68 [9538]~E(f836(f179(f900(x95381)),x95383),f836(f179(f900(x95381)),x95382))+P1(f836(f836(f318(f905(f900(x95381),f900(x95381))),f836(f836(f242(f900(x95381),f900(x95381)),x95382),x95383)),f148(x95381,x95384)))+P1(f836(f836(f318(f905(x95381,x95381)),f640(x95384,x95383,x95382,x95381)),f836(f162(f905(x95381,x95381)),f836(f836(f171(x95381,x95381),x95382),x95383))))
% 190.77/190.68 [9627]~P1(f836(f836(f318(f905(f900(x96271),f900(x96271))),f836(f836(f242(f900(x96271),f900(x96271)),x96272),x96273)),f137(x96271,x96274)))+E(f836(f836(f165(x96271),f836(f179(f900(x96271)),x96272)),x96273),x96272)+P1(f836(f836(f225(a899),f637(x96274,x96273,x96272,x96271)),f836(f836(f228(a899),f836(f179(f900(x96271)),x96272)),f836(f179(f900(x96271)),x96273))))
% 190.77/190.68 [9651]~P1(f836(f836(f318(f905(f900(x96511),f900(x96511))),f836(f836(f242(f900(x96511),f900(x96511)),x96512),x96513)),f137(x96511,x96514)))+P1(f836(f836(f225(a899),f836(f179(f900(x96511)),x96512)),f836(f179(f900(x96511)),x96513)))+P1(f836(f836(f225(a899),f637(x96514,x96513,x96512,x96511)),f836(f836(f228(a899),f836(f179(f900(x96511)),x96512)),f836(f179(f900(x96511)),x96513))))
% 190.77/190.68 [10051]~P1(f836(f836(f318(f905(f900(x100511),f900(x100511))),f836(f836(f242(f900(x100511),f900(x100511)),x100512),x100513)),f137(x100511,x100514)))+E(f836(f836(f165(x100511),f836(f179(f900(x100511)),x100512)),x100513),x100512)+P1(f836(f836(f318(f905(x100511,x100511)),f836(f836(f242(x100511,x100511),f836(f836(f154(x100511),x100512),f637(x100514,x100513,x100512,x100511))),f836(f836(f154(x100511),x100513),f637(x100514,x100513,x100512,x100511)))),x100514))
% 190.77/190.68 [10052]~P1(f836(f836(f318(f905(f900(x100521),f900(x100521))),f836(f836(f242(f900(x100521),f900(x100521)),x100522),x100523)),f137(x100521,x100524)))+P1(f836(f836(f225(a899),f836(f179(f900(x100521)),x100522)),f836(f179(f900(x100521)),x100523)))+P1(f836(f836(f318(f905(x100521,x100521)),f836(f836(f242(x100521,x100521),f836(f836(f154(x100521),x100522),f637(x100524,x100523,x100522,x100521))),f836(f836(f154(x100521),x100523),f637(x100524,x100523,x100522,x100521)))),x100524))
% 190.77/190.68 [10119]~E(f836(f179(f900(x101191)),x101192),f836(f179(f900(x101191)),x101193))+P1(f836(f836(f318(f905(f900(x101191),f900(x101191))),f836(f836(f242(f900(x101191),f900(x101191)),x101192),x101193)),f148(x101191,x101194)))+~P1(f836(f836(f318(f905(x101191,x101191)),f836(f836(f242(x101191,x101191),f836(f836(f154(x101191),x101192),f633(x101194,x101193,x101192,x101191))),f836(f836(f154(x101191),x101193),f633(x101194,x101193,x101192,x101191)))),x101194))
% 190.77/190.68 [10267]~P73(x102671)+~P1(f836(f29(x102672),x102674))+E(f836(f155(x102671),f836(f836(f144(x102672,x102671),x102673),f84(f900(x102672),f836(f836(f18(f900(x102672),a895,a895),f836(f836(f8(a895,f906(a895,a895),f900(x102672)),a315),f836(f836(f7(f900(x102672),f906(x102672,a895),a895),f836(f836(f8(f906(x102672,a895),f906(f906(x102672,a895),a895),f900(x102672)),a314),f162(x102672))),x102674))),f127(x102672))))),f221(x102672,x102671,x102673,x102674))
% 190.77/190.68 [7524]~P61(x75242)+E(x75241,f2(x75242))+E(f836(f836(f281(x75242),f836(f836(f74(x75242),x75243),f836(f836(f75(x75242),x75244),x75241))),x75241),f836(f836(f74(x75242),x75244),f836(f836(f281(x75242),x75243),x75241)))
% 190.77/190.68 [7525]~P3(x75252)+E(x75251,f2(x75252))+E(f836(f836(f31(x75252),f836(f836(f74(x75252),x75253),f836(f836(f75(x75252),x75254),x75251))),x75251),f836(f836(f74(x75252),x75254),f836(f836(f31(x75252),x75253),x75251)))
% 190.77/190.68 [7526]~P3(x75262)+E(x75261,f2(x75262))+E(f836(f836(f31(x75262),f836(f836(f74(x75262),x75263),f836(f836(f75(x75262),x75261),x75264))),x75261),f836(f836(f74(x75262),x75264),f836(f836(f31(x75262),x75263),x75261)))
% 190.77/190.68 [7755]~P62(x77552)+E(x77551,f2(x77552))+E(f836(f836(f281(x77552),f836(f836(f23(x77552),x77553),f836(f836(f75(x77552),x77551),x77554))),x77551),f836(f836(f23(x77552),f836(f836(f281(x77552),x77553),x77551)),x77554))
% 190.77/190.68 [7756]~P61(x77562)+E(x77561,f2(x77562))+E(f836(f836(f281(x77562),f836(f836(f74(x77562),x77563),f836(f836(f75(x77562),x77564),x77561))),x77561),f836(f836(f74(x77562),f836(f836(f281(x77562),x77563),x77561)),x77564))
% 190.77/190.68 [7757]~P62(x77572)+E(x77571,f2(x77572))+E(f836(f836(f281(x77572),f836(f836(f74(x77572),x77573),f836(f836(f75(x77572),x77571),x77574))),x77571),f836(f836(f74(x77572),f836(f836(f281(x77572),x77573),x77571)),x77574))
% 190.77/190.68 [8460]~P1(f836(f150(x84601,x84603),x84604))+~P1(f836(f150(x84601,x84602),x84604))+P1(f836(f150(x84601,f836(f836(f92(f906(x84601,a895)),x84602),x84603)),x84604))
% 190.77/190.68 [8832]~E(f836(f836(f279(x88321,x88321,x88321),x88322),x88324),f178(f906(f905(x88321,x88321),a895)))+~E(f836(f836(f279(x88321,x88321,x88321),x88322),x88323),f178(f906(f905(x88321,x88321),a895)))+E(f836(f836(f279(x88321,x88321,x88321),x88322),f836(f836(f91(f906(f905(x88321,x88321),a895)),x88323),x88324)),f178(f906(f905(x88321,x88321),a895)))
% 190.77/190.68 [8958]~P1(f836(f836(f224(f906(x89581,a895)),x89583),x89584))+~P1(f836(f836(f224(f906(x89581,a895)),x89582),x89584))+P1(f836(f836(f224(f906(x89581,a895)),f836(f836(f91(f906(x89581,a895)),x89582),x89583)),x89584))
% 190.77/190.68 [9334]~P1(f836(f29(x93341),x93344))+~P1(f836(f29(x93341),x93343))+E(f836(f836(f23(a899),f836(f836(f74(a899),f836(f836(f6(x93341,a899),x93342),x93343)),f836(f836(f6(x93341,a899),x93342),x93344))),f836(f836(f6(x93341,a899),x93342),f836(f836(f92(f906(x93341,a895)),x93343),x93344))),f836(f836(f6(x93341,a899),x93342),f836(f836(f91(f906(x93341,a895)),x93343),x93344)))
% 190.77/190.68 [9426]~P1(f836(f836(f318(x94261),x94263),x94262))+~P1(f836(f836(f224(f906(x94261,a895)),x94262),f836(f836(f299(x94261),x94263),x94264)))+P1(f836(f836(f224(f906(x94261,a895)),f836(f836(f23(f906(x94261,a895)),x94262),f836(f836(f299(x94261),x94263),f178(f906(x94261,a895))))),x94264))
% 190.77/190.68 [9602]~P1(f836(f836(f318(x96021),x96023),x96022))+P1(f836(f836(f224(f906(x96021,a895)),x96022),f836(f836(f299(x96021),x96023),x96024)))+~P1(f836(f836(f224(f906(x96021,a895)),f836(f836(f23(f906(x96021,a895)),x96022),f836(f836(f299(x96021),x96023),f178(f906(x96021,a895))))),x96024))
% 190.77/190.68 [9691]~P1(f836(f836(f224(a899),x96911),x96913))+~P1(f836(f836(f225(a899),x96912),x96914))+P1(f836(f836(f318(f905(f905(a899,a899),f905(a899,a899))),f836(f836(f242(f905(a899,a899),f905(a899,a899)),f836(f836(f242(a899,a899),x96911),x96912)),f836(f836(f242(a899,a899),x96913),x96914))),a26))
% 190.77/190.68 [9692]~P1(f836(f836(f224(a899),x96922),x96924))+~P1(f836(f836(f224(a899),x96921),x96923))+P1(f836(f836(f318(f905(f905(a899,a899),f905(a899,a899))),f836(f836(f242(f905(a899,a899),f905(a899,a899)),f836(f836(f242(a899,a899),x96921),x96922)),f836(f836(f242(a899,a899),x96923),x96924))),a65))
% 190.77/190.68 [9982]~P1(f836(f836(f318(f900(x99821)),x99824),f151(x99821,x99823)))+~P1(f836(f836(f318(f900(x99821)),x99824),f151(x99821,x99822)))+P1(f836(f150(x99821,f836(f836(f92(f906(x99821,a895)),f836(f836(f7(x99821,f906(x99821,a895),a895),f318(x99821)),x99822)),f836(f836(f7(x99821,f906(x99821,a895),a895),f318(x99821)),x99823))),x99824))
% 190.77/190.68 [10085]~P24(x100851,f906(f906(x100851,a895),a895),f836(f836(f7(x100851,f906(f905(x100851,x100851),a895),f906(f906(x100851,a895),a895)),f836(f836(f8(f906(x100851,a895),f906(f906(f905(x100851,x100851),a895),f906(f906(x100851,a895),a895)),x100851),f56(x100851)),f836(f836(f7(x100851,f906(x100851,a895),f906(x100851,a895)),f299(x100851)),f178(f906(x100851,a895))))),x100853),x100852)+~P1(f836(f836(f318(x100851),x100854),x100852))+E(f836(f836(f23(f906(f906(x100851,a895),a895)),f836(f836(f56(x100851),x100852),x100853)),f836(f836(f56(x100851),f836(f836(f299(x100851),x100854),f178(f906(x100851,a895)))),x100853)),f836(f836(f56(x100851),f836(f836(f23(f906(x100851,a895)),x100852),f836(f836(f299(x100851),x100854),f178(f906(x100851,a895))))),x100853))
% 190.77/190.68 [10221]~P52(x102211,x102212,x102214)+~P1(f836(f836(f318(f905(x102211,x102211)),x102213),x102214))+P1(f836(f836(f247(x102211,x102211,a895),f836(f836(f7(x102211,f906(x102211,a895),f906(x102211,a895)),f836(f836(f8(f906(a895,a895),f906(f906(x102211,a895),f906(x102211,a895)),x102211),f8(a895,a895,x102211)),f836(f836(f8(a895,f906(a895,a895),x102211),a315),f836(f836(f7(x102211,f906(x102211,a895),a895),f318(x102211)),x102212)))),f836(f836(f7(x102211,f906(x102211,a895),a895),f318(x102211)),x102212))),x102213))
% 190.77/190.68 [10233]P1(f836(f29(x102331),x102332))+~P1(f836(f29(x102333),f836(f300(x102331,x102333,x102334),x102332)))+~P1(f836(f29(x102331),f836(f252(x102331),f836(f836(f18(x102331,a895,a895),f836(f836(f8(a895,f906(a895,a895),x102331),a315),f836(f836(f7(x102331,f906(x102331,a895),a895),f318(x102331)),x102332))),f836(f836(f7(x102331,x102333,a895),f836(f836(f8(x102333,f906(x102333,a895),x102331),a314),x102334)),f836(x102334,f499(x102334,x102333,x102332,x102331)))))))
% 190.77/190.68 [8212]~P62(x82122)+E(x82121,f2(x82122))+E(f836(f836(f281(x82122),f836(f836(f23(x82122),f836(f836(f75(x82122),x82121),x82123)),x82124)),x82121),f836(f836(f23(x82122),x82123),f836(f836(f281(x82122),x82124),x82121)))
% 190.77/190.68 [8213]~P62(x82132)+E(x82131,f2(x82132))+E(f836(f836(f281(x82132),f836(f836(f74(x82132),f836(f836(f75(x82132),x82131),x82133)),x82134)),x82131),f836(f836(f74(x82132),x82133),f836(f836(f281(x82132),x82134),x82131)))
% 190.77/190.68 [9118]~E(f836(f836(f279(x91181,x91181,x91181),x91183),x91184),f178(f906(f905(x91181,x91181),a895)))+~E(f836(f836(f279(x91181,x91181,x91181),x91182),x91184),f178(f906(f905(x91181,x91181),a895)))+E(f836(f836(f279(x91181,x91181,x91181),f836(f836(f91(f906(f905(x91181,x91181),a895)),x91182),x91183)),x91184),f178(f906(f905(x91181,x91181),a895)))
% 190.77/190.68 [9899]~P1(f836(f150(x98991,x98993),x98994))+~P1(f836(f150(x98991,x98992),x98994))+P1(f836(f150(x98991,f836(f836(f18(x98991,a895,a895),f836(f836(f8(a895,f906(a895,a895),x98991),a315),x98992)),x98993)),x98994))
% 190.77/190.68 [10159]P1(f836(x101591,f492(x101592,x101593,x101591,x101594)))+~P1(f836(f29(x101594),f836(f252(x101594),x101591)))+P1(f836(f29(x101593),f836(f252(x101593),f836(f836(f8(f906(x101594,a895),a895,x101593),f81(x101594)),f836(f836(f8(f906(x101594,a895),f906(x101594,a895),x101593),f836(f18(x101594,a895,a895),f836(f836(f8(a895,f906(a895,a895),x101594),a315),x101591))),x101592)))))
% 190.77/190.68 [10177]~P1(f836(f29(x101772),f836(f252(x101772),x101773)))+~P1(f836(f29(x101771),f836(f252(x101771),f836(f836(f7(x101771,x101772,a895),x101774),f492(x101774,x101771,x101773,x101772)))))+P1(f836(f29(x101771),f836(f252(x101771),f836(f836(f8(f906(x101772,a895),a895,x101771),f81(x101772)),f836(f836(f8(f906(x101772,a895),f906(x101772,a895),x101771),f836(f18(x101772,a895,a895),f836(f836(f8(a895,f906(a895,a895),x101772),a315),x101773))),x101774)))))
% 190.77/190.68 [10246]~P1(f836(f29(x102461),x102464))+P1(f836(f836(f318(x102461),f771(x102462,x102463,x102464,x102461)),x102464))+P1(f836(f29(x102463),f836(f252(x102463),f836(f836(f8(f906(x102461,a895),a895,x102463),f81(x102461)),f836(f836(f8(f906(x102461,a895),f906(x102461,a895),x102463),f836(f18(x102461,a895,a895),f836(f836(f8(a895,f906(a895,a895),x102461),a315),f836(f836(f7(x102461,f906(x102461,a895),a895),f318(x102461)),x102464)))),x102462)))))
% 190.77/190.68 [10252]~P1(f836(f29(x102522),x102523))+~P1(f836(f29(x102521),f836(f252(x102521),f836(f836(f7(x102521,x102522,a895),x102524),f771(x102524,x102521,x102523,x102522)))))+P1(f836(f29(x102521),f836(f252(x102521),f836(f836(f8(f906(x102522,a895),a895,x102521),f81(x102522)),f836(f836(f8(f906(x102522,a895),f906(x102522,a895),x102521),f836(f18(x102522,a895,a895),f836(f836(f8(a895,f906(a895,a895),x102522),a315),f836(f836(f7(x102522,f906(x102522,a895),a895),f318(x102522)),x102523)))),x102524)))))
% 190.77/190.68 [5102]~E(x51022,x51024)+E(f159(x51021,x51022,x51023),f159(x51021,x51024,x51025))+~E(x51022,f2(a899))
% 190.77/190.68 [5349]E(x53491,x53492)+~E(f159(x53494,x53493,x53491),f159(x53494,x53495,x53492))+E(x53493,f2(a899))
% 190.77/190.68 [6645]E(x66451,x66452)+~E(f836(x66453,x66451),f836(x66453,x66452))+~P24(x66454,x66455,x66453,f232(f906(x66454,a895)))
% 190.77/190.68 [7556]E(x75561,x75562)+~P24(x75563,x75564,x75565,f232(f906(x75563,a895)))+~E(f836(f300(x75563,x75564,x75565),x75561),f836(f300(x75563,x75564,x75565),x75562))
% 190.77/190.68 [7810]P24(x78102,x78103,f416(x78104,x78103,x78102,x78101),x78101)+~E(f836(f300(x78103,x78102,x78105),x78104),x78101)+E(x78101,f178(f906(x78102,a895)))
% 190.77/190.68 [8342]~P1(f836(f836(x83423,x83422),x83425))+~P1(f836(f836(x83423,x83424),x83422))+P1(f836(f836(f318(x83421),x83422),f289(x83421,x83423,x83424,x83425)))
% 190.77/190.68 [8343]~P1(f836(f836(x83433,x83432),x83435))+~P1(f836(f836(x83433,x83434),x83432))+P1(f836(f836(f318(x83431),x83432),f280(x83431,x83433,x83434,x83435)))
% 190.77/190.68 [8649]~P24(x86491,x86492,x86493,x86494)+P25(x86491,x86492,x86493,x86494,x86495)+~E(f836(f300(x86491,x86492,x86493),x86494),x86495)
% 190.77/190.68 [8782]~P25(x87821,x87823,x87824,x87822,x87825)+~P1(f836(f29(x87823),x87825))+P1(f836(f29(x87821),x87822))
% 190.77/190.68 [8783]~P25(x87833,x87831,x87834,x87835,x87832)+~P1(f836(f29(x87833),x87835))+P1(f836(f29(x87831),x87832))
% 190.77/190.68 [8915]~P24(x89151,x89153,x89155,f232(f906(x89151,a895)))+~P24(x89153,x89152,x89154,f232(f906(x89153,a895)))+P24(x89151,x89152,f836(f67(x89153,x89152,x89151,x89154),x89155),f232(f906(x89151,a895)))
% 190.77/190.68 [9485]P1(f836(f836(f318(f905(x94851,x94851)),f836(f836(f242(x94851,x94851),x94852),x94853)),f297(x94851,x94854)))+~P1(f836(f836(f318(f905(x94851,x94851)),f836(f836(f242(x94851,x94851),x94852),x94855)),f297(x94851,x94854)))+~P1(f836(f836(f318(f905(x94851,x94851)),f836(f836(f242(x94851,x94851),x94855),x94853)),f297(x94851,x94854)))
% 190.77/190.68 [9525]~P108(x95252)+~P1(f836(f127(x95251),x95255))+P1(f836(f127(x95251),f139(x95251,x95252,x95253,x95254,x95255)))
% 190.77/190.68 [5426]~E(x54262,f103(x54261))+E(f836(f836(f124(x54261),x54262),x54263),f836(f836(f141(x54261),x54264),x54265))+~E(x54263,f836(f836(f141(x54261),x54264),x54265))
% 190.77/190.68 [5427]~E(x54272,f103(x54271))+E(f836(f836(f124(x54271),x54272),x54273),f836(f836(f141(x54271),x54274),x54275))+~E(f836(f836(f141(x54271),x54274),x54275),x54273)
% 190.77/190.68 [6601]~E(f836(f179(f900(x66011)),x66015),f836(f179(f900(x66012)),x66014))+E(f836(f836(f144(f905(x66011,x66012),x66012),f246(x66011,x66012)),x66013),x66014)+~E(f836(f836(f171(x66011,x66012),x66015),x66014),x66013)
% 190.77/190.68 [6602]~E(f836(f179(f900(x66021)),x66024),f836(f179(f900(x66022)),x66025))+E(f836(f836(f144(f905(x66021,x66022),x66021),f241(x66021,x66022)),x66023),x66024)+~E(f836(f836(f171(x66021,x66022),x66024),x66025),x66023)
% 190.77/190.68 [7092]~P108(x70921)+~P13(x70921,f836(f836(f144(x70922,x70921),x70923),x70925))+P13(x70921,f836(f836(f144(x70922,x70921),x70923),f836(f126(x70922,x70924),x70925)))
% 190.77/190.68 [7234]~P108(x72341)+P13(x72341,f836(f836(f144(x72342,x72341),x72343),f160(x72342,x72344,x72345)))+~P13(x72341,f836(f836(f144(x72342,x72341),x72343),x72345))
% 190.77/190.68 [7257]~P54(x72573,x72572,x72575)+~P54(x72571,x72573,x72574)+P54(x72571,x72572,f836(f836(f279(x72571,x72573,x72572),x72574),x72575))
% 190.77/190.68 [7352]E(x73521,x73522)+~P24(x73523,x73524,x73525,f232(f906(x73523,a895)))+~E(f836(f836(f144(x73523,x73524),x73525),x73521),f836(f836(f144(x73523,x73524),x73525),x73522))
% 190.77/190.68 [7511]~P1(f836(f836(f224(a899),x75111),f836(x75113,x75115)))+P1(f836(f836(f224(a899),x75111),f145(x75112,x75113,x75114)))+~P1(f836(f836(f318(x75112),x75115),f836(f162(x75112),x75114)))
% 190.77/190.68 [7512]~P1(f836(f836(f225(a899),x75121),f836(x75123,x75125)))+P1(f836(f836(f225(a899),x75121),f145(x75122,x75123,x75124)))+~P1(f836(f836(f318(x75122),x75125),f836(f162(x75122),x75124)))
% 190.77/190.68 [7907]P1(f836(x79071,x79072))+~P1(f836(x79071,x79073))+~P1(f836(f836(f318(x79074),x79072),f836(f162(x79074),f159(x79074,x79075,x79073))))
% 190.77/190.68 [7908]P1(f836(x79081,x79082))+~P1(f836(x79081,x79083))+~P1(f836(f836(f318(x79084),x79083),f836(f162(x79084),f159(x79084,x79085,x79082))))
% 190.77/190.68 [7913]~P109(x79131)+P1(f836(f836(f224(f906(x79131,a895)),f293(x79131,x79132,x79133)),f293(x79131,x79134,x79135)))+P1(f836(f836(f224(x79131),x79132),x79133))
% 190.77/190.68 [7934]~P5(x79341)+P1(f836(f836(f224(x79341),f836(f836(f36(x79342,x79341),x79343),x79344)),f836(x79344,x79345)))+~P1(f836(f836(f318(x79342),x79345),x79343))
% 190.77/190.68 [8003]~P24(x80031,x80032,x80034,x80033)+E(f836(f71(x80031,x80032,x80033,x80034),f836(x80034,x80035)),x80035)+~P1(f836(f836(f318(x80031),x80035),x80033))
% 190.77/190.68 [8004]~P24(x80041,x80042,x80044,x80043)+E(f836(f85(x80041,x80042,x80043,x80044),f836(x80044,x80045)),x80045)+~P1(f836(f836(f318(x80041),x80045),x80043))
% 190.77/190.68 [8201]~P1(f836(x82011,x82015))+P1(f836(x82011,f323(x82011,x82012,x82013,x82014)))+~P1(f836(f836(f318(x82014),x82015),x82013))
% 190.77/190.68 [8202]~P1(f836(x82021,x82025))+P1(f836(x82021,f323(x82021,x82022,x82023,x82024)))+~P1(f836(f836(f318(x82024),x82025),x82022))
% 190.77/190.68 [8296]P1(f836(f29(x82961),x82962))+~P1(f836(f29(x82963),x82964))+~P1(f836(f836(f224(f906(x82961,a895)),x82962),f836(f300(x82963,x82961,x82965),x82964)))
% 190.77/190.68 [8464]E(x84641,x84642)+~P24(x84643,x84644,x84645,f836(f836(f91(f906(x84643,a895)),f836(f162(x84643),x84641)),f836(f162(x84643),x84642)))+~E(f836(f836(f144(x84643,x84644),x84645),x84641),f836(f836(f144(x84643,x84644),x84645),x84642))
% 190.77/190.68 [8517]~P109(x85171)+~P1(f836(f836(f225(f906(x85171,a895)),f293(x85171,x85174,x85175)),f293(x85171,x85172,x85173)))+P1(f836(f836(f224(x85171),x85172),x85173))
% 190.77/190.68 [8579]~P24(x85791,x85794,x85795,f232(f906(x85791,a895)))+~P1(f836(f836(f318(x85794),f836(x85795,x85792)),f836(f300(x85791,x85794,x85795),x85793)))+P1(f836(f836(f318(x85791),x85792),x85793))
% 190.77/190.68 [8655]P1(f836(x86551,x86552))+~P1(f836(x86551,f881(x86551,x86553,x86554,x86555)))+~P1(f836(f836(f318(x86555),x86552),x86554))
% 190.77/190.68 [8656]P1(f836(x86561,x86562))+~P1(f836(x86561,f881(x86561,x86563,x86564,x86565)))+~P1(f836(f836(f318(x86565),x86562),x86563))
% 190.77/190.68 [8955]~P24(x89552,x89553,x89551,x89554)+E(f836(x89551,f836(f71(x89552,x89553,x89554,x89551),x89555)),x89555)+~P1(f836(f836(f318(x89553),x89555),f836(f300(x89552,x89553,x89551),x89554)))
% 190.77/190.68 [9058]E(x90581,f103(x90582))+E(f836(f836(f141(x90582),x90583),f655(x90584,x90583,x90585,x90581,x90582)),x90581)+~E(f836(f836(f124(x90582),x90581),x90585),f836(f836(f141(x90582),x90583),x90584))
% 190.77/190.68 [9059]E(x90591,f103(x90592))+E(f836(f836(f141(x90592),x90593),f656(x90594,x90591,x90595,x90593,x90592)),x90591)+~E(f836(f836(f124(x90592),x90591),x90594),f836(f836(f141(x90592),x90593),x90595))
% 190.77/190.68 [9077]E(f836(f836(f141(x90772),x90773),f655(x90774,x90773,x90771,x90775,x90772)),x90775)+~E(f836(f836(f124(x90772),x90775),x90771),f836(f836(f141(x90772),x90773),x90774))+E(x90771,f836(f836(f141(x90772),x90773),x90774))
% 190.77/190.68 [9078]E(f836(f836(f141(x90781),x90782),f656(x90784,x90785,x90783,x90782,x90781)),x90785)+~E(f836(f836(f124(x90781),x90785),x90784),f836(f836(f141(x90781),x90782),x90783))+E(f836(f836(f141(x90781),x90782),x90783),x90784)
% 190.77/190.68 [9155]~E(f836(f300(x91553,x91552,x91554),f232(f906(x91553,a895))),f232(f906(x91552,a895)))+~E(f836(f300(x91551,x91553,x91555),f232(f906(x91551,a895))),f232(f906(x91553,a895)))+E(f836(f300(x91551,x91552,f836(f67(x91553,x91552,x91551,x91554),x91555)),f232(f906(x91551,a895))),f232(f906(x91552,a895)))
% 190.77/190.68 [9531]E(x95311,f103(x95312))+~E(f836(f836(f124(x95312),x95311),x95313),f836(f836(f141(x95312),x95315),x95314))+E(f836(f836(f124(x95312),f656(x95313,x95311,x95314,x95315,x95312)),x95313),x95314)
% 190.77/190.68 [9532]E(x95321,f103(x95322))+~E(f836(f836(f124(x95322),x95321),x95325),f836(f836(f141(x95322),x95324),x95323))+E(f836(f836(f124(x95322),f655(x95323,x95324,x95325,x95321,x95322)),x95325),x95323)
% 190.77/190.68 [9539]E(f836(f836(f124(x95392),f655(x95394,x95393,x95391,x95395,x95392)),x95391),x95394)+~E(f836(f836(f124(x95392),x95395),x95391),f836(f836(f141(x95392),x95393),x95394))+E(x95391,f836(f836(f141(x95392),x95393),x95394))
% 190.77/190.68 [9540]~E(f836(f836(f124(x95401),x95405),x95404),f836(f836(f141(x95401),x95402),x95403))+E(f836(f836(f124(x95401),f656(x95404,x95405,x95403,x95402,x95401)),x95404),x95403)+E(f836(f836(f141(x95401),x95402),x95403),x95404)
% 190.77/190.68 [9541]E(f836(f836(f124(x95411),x95415),f660(x95413,x95412,x95414,x95415,x95411)),x95412)+E(f836(f836(f124(x95411),x95412),f659(x95413,x95412,x95414,x95415,x95411)),x95415)+~E(f836(f836(f124(x95411),x95415),x95414),f836(f836(f124(x95411),x95412),x95413))
% 190.77/190.68 [9578]~P108(x95781)+P13(x95781,f836(f836(f144(x95782,x95781),x95783),f139(x95782,x95781,x95783,x95784,x95785)))+~P13(x95781,f836(f836(f144(x95782,x95781),x95783),x95785))
% 190.77/190.68 [9597]~P58(x95975,x95971,x95974,x95973)+P1(f836(f836(x95971,x95972),f458(x95973,x95974,x95971,x95975,x95972)))+~P1(f836(f836(f318(x95975),x95972),x95974))
% 190.77/190.68 [9598]~P58(x95985,x95981,x95984,x95983)+P1(f836(f836(x95981,x95982),f776(x95983,x95984,x95981,x95985,x95982)))+~P1(f836(f836(f318(x95985),x95982),x95984))
% 190.77/190.68 [9703]~P1(f836(f836(f318(f905(x97031,x97031)),f836(f836(f242(x97031,x97031),x97035),x97033)),f297(x97031,x97034)))+P1(f836(f836(f318(f905(x97031,x97031)),f836(f836(f242(x97031,x97031),x97032),x97033)),f836(f836(f279(x97031,x97031,x97031),x97034),f297(x97031,x97034))))+~P1(f836(f836(f318(f905(x97031,x97031)),f836(f836(f242(x97031,x97031),x97032),x97035)),f836(f836(f279(x97031,x97031,x97031),x97034),f297(x97031,x97034))))
% 190.77/190.68 [9704]~P1(f836(f836(f318(f905(x97041,x97041)),f836(f836(f242(x97041,x97041),x97042),x97045)),f297(x97041,x97044)))+P1(f836(f836(f318(f905(x97041,x97041)),f836(f836(f242(x97041,x97041),x97042),x97043)),f836(f836(f279(x97041,x97041,x97041),x97044),f297(x97041,x97044))))+~P1(f836(f836(f318(f905(x97041,x97041)),f836(f836(f242(x97041,x97041),x97045),x97043)),f836(f836(f279(x97041,x97041,x97041),x97044),f297(x97041,x97044))))
% 190.77/190.68 [9706]P1(f836(f836(f318(f905(f900(x97061),f900(x97061))),f836(f836(f242(f900(x97061),f900(x97061)),x97062),x97063)),f148(x97061,f297(x97061,x97064))))+~P1(f836(f836(f318(f905(f900(x97061),f900(x97061))),f836(f836(f242(f900(x97061),f900(x97061)),x97062),x97065)),f148(x97061,f297(x97061,x97064))))+~P1(f836(f836(f318(f905(f900(x97061),f900(x97061))),f836(f836(f242(f900(x97061),f900(x97061)),x97065),x97063)),f148(x97061,f297(x97061,x97064))))
% 190.77/190.68 [9710]E(f836(f836(f124(x97101),x97102),f659(x97103,x97102,x97104,x97105,x97101)),x97105)+E(f836(f836(f124(x97101),f660(x97103,x97102,x97104,x97105,x97101)),x97103),x97104)+~E(f836(f836(f124(x97101),x97102),x97103),f836(f836(f124(x97101),x97105),x97104))
% 190.77/190.68 [9711]E(f836(f836(f124(x97111),x97112),f660(x97113,x97114,x97115,x97112,x97111)),x97114)+E(f836(f836(f124(x97111),f659(x97113,x97114,x97115,x97112,x97111)),x97115),x97113)+~E(f836(f836(f124(x97111),x97112),x97115),f836(f836(f124(x97111),x97114),x97113))
% 190.77/190.68 [9765]P1(f836(f836(f318(f905(x97651,x97651)),f836(f836(f242(x97651,x97651),x97652),x97653)),f836(f836(f279(x97651,x97651,x97651),x97654),f297(x97651,x97654))))+~P1(f836(f836(f318(f905(x97651,x97651)),f836(f836(f242(x97651,x97651),x97652),x97655)),f836(f836(f279(x97651,x97651,x97651),x97654),f297(x97651,x97654))))+~P1(f836(f836(f318(f905(x97651,x97651)),f836(f836(f242(x97651,x97651),x97655),x97653)),f836(f836(f279(x97651,x97651,x97651),x97654),f297(x97651,x97654))))
% 190.77/190.68 [9792]P33(x97921,x97922,x97923,x97924,x97925)+~E(f836(f179(f900(x97921)),x97924),f836(f179(f900(x97922)),x97925))+~P1(f836(f836(f247(x97921,x97922,a895),x97923),f675(x97925,x97924,x97923,x97922,x97921)))
% 190.77/190.68 [9793]P33(x97931,x97932,x97933,x97934,x97935)+~E(f836(f179(f900(x97931)),x97934),f836(f179(f900(x97932)),x97935))+~P1(f836(f836(f247(x97931,x97932,a895),x97933),f676(x97933,x97935,x97934,x97932,x97931)))
% 190.77/190.68 [9798]E(f836(f836(f124(x97981),f659(x97982,x97983,x97984,x97985,x97981)),x97984),x97982)+~E(f836(f836(f124(x97981),x97983),x97982),f836(f836(f124(x97981),x97985),x97984))+E(f836(f836(f124(x97981),f660(x97982,x97983,x97984,x97985,x97981)),x97982),x97984)
% 190.77/190.68 [9813]~P108(x98132)+E(f836(f836(f138(x98131,x98132,x98133),x98134),x98135),f836(f836(f141(x98131),x98134),x98135))+P1(f836(f836(f318(x98131),f722(x98134,x98133,x98135,x98131,x98132)),f836(f162(x98131),x98135)))
% 190.77/190.68 [9817]~P58(x98171,x98174,x98173,x98172)+~P1(f836(f836(f318(x98171),x98175),x98173))+P1(f836(f836(f318(x98171),f458(x98172,x98173,x98174,x98171,x98175)),x98172))
% 190.77/190.68 [9818]~P58(x98181,x98184,x98183,x98182)+~P1(f836(f836(f318(x98181),x98185),x98183))+P1(f836(f836(f318(x98181),f776(x98182,x98183,x98184,x98181,x98185)),x98182))
% 190.77/190.68 [9932]~P1(f836(f836(f318(f905(f906(x99321,a895),f906(x99321,a895))),f836(f836(f242(f906(x99321,a895),f906(x99321,a895)),x99324),x99323)),f309(x99321,x99322)))+~P1(f836(f836(f318(x99321),x99325),x99324))+P1(f836(f836(f318(x99321),f542(x99322,x99323,x99324,x99321,x99325)),x99323))
% 190.77/190.68 [9942]~P108(x99422)+E(f836(f836(f138(x99421,x99422,x99423),x99424),x99425),f836(f836(f141(x99421),x99424),x99425))+~P1(f836(f836(f224(x99422),f836(x99423,x99424)),f836(x99423,f722(x99424,x99423,x99425,x99421,x99422))))
% 190.77/190.68 [9991]~P24(x99913,x99914,x99915,f232(f906(x99913,a895)))+P1(f836(x99911,x99912))+~P1(f836(x99911,f836(f85(x99913,x99914,f232(f906(x99913,a895)),x99915),f789(x99912,x99911,x99915,x99914,x99913))))
% 190.77/190.68 [10136]P33(x101361,x101362,x101363,x101364,x101365)+~E(f836(f179(f900(x101361)),x101364),f836(f179(f900(x101362)),x101365))+~P1(f836(f836(x101363,f836(f836(f154(x101361),x101364),f677(x101365,x101364,x101363,x101362,x101361))),f836(f836(f154(x101362),x101365),f677(x101365,x101364,x101363,x101362,x101361))))
% 190.77/190.68 [10137]P33(x101371,x101372,x101373,x101374,x101375)+~E(f836(f179(f900(x101371)),x101374),f836(f179(f900(x101372)),x101375))+~P1(f836(f836(x101373,f836(f836(f154(x101371),x101374),f713(x101373,x101375,x101372,x101374,x101371))),f836(f836(f154(x101372),x101375),f713(x101373,x101375,x101372,x101374,x101371))))
% 190.77/190.68 [6676]~P17(x66762,x66765,x66761)+~P1(f836(f29(x66762),x66764))+E(f836(x66761,f836(f836(f299(x66762),x66763),x66764)),f836(f836(f59(x66762,x66762,x66765),x66763),x66764))
% 190.77/190.68 [6677]~E(x66773,x66774)+~E(x66772,x66775)+E(f836(f836(f299(x66771),x66772),f836(f836(f299(x66771),x66773),f178(f906(x66771,a895)))),f836(f836(f299(x66771),x66774),f836(f836(f299(x66771),x66775),f178(f906(x66771,a895)))))
% 190.77/190.68 [6688]P1(f836(x66882,x66885))+E(f167(x66881,x66882,f836(f836(f124(x66881),x66883),x66884)),f167(x66881,x66882,x66883))+~P1(f836(f836(f318(x66881),x66885),f836(f162(x66881),x66883)))
% 190.77/190.68 [6726]E(f836(x67261,x67262),f178(f906(x67263,a895)))+~E(f836(f836(f35(x67264,f906(x67263,a895)),x67265),x67261),f178(f906(x67263,a895)))+~P1(f836(f836(f318(x67264),x67262),x67265))
% 190.77/190.68 [6727]E(f836(x67271,x67272),f232(f906(x67273,a895)))+~E(f836(f836(f36(x67274,f906(x67273,a895)),x67275),x67271),f232(f906(x67273,a895)))+~P1(f836(f836(f318(x67274),x67272),x67275))
% 190.77/190.68 [7244]~E(x72442,x72444)+~P146(x72441)+E(f836(f836(f74(x72441),f836(f836(f75(x72441),x72442),x72443)),f836(f836(f75(x72441),x72444),x72445)),f836(f836(f74(x72441),f836(f836(f75(x72441),x72442),x72445)),f836(f836(f75(x72441),x72444),x72443)))
% 190.77/190.68 [7306]~P5(x73061)+~P1(f836(f836(f318(x73064),x73063),x73065))+P1(f836(f836(f224(x73061),f836(x73062,x73063)),f836(f836(f35(x73064,x73061),x73065),x73062)))
% 190.77/190.68 [7357]~P107(x73571)+P1(f836(f836(f224(x73571),f836(x73572,x73573)),f836(x73574,x73573)))+~P1(f836(f836(f224(f906(x73575,x73571)),x73572),x73574))
% 190.77/190.68 [7480]E(x74801,x74802)+E(x74803,x74801)+~E(f836(f836(f299(x74804),x74801),f836(f836(f299(x74804),x74805),f178(f906(x74804,a895)))),f836(f836(f299(x74804),x74802),f836(f836(f299(x74804),x74803),f178(f906(x74804,a895)))))
% 190.77/190.68 [7481]E(x74811,x74812)+E(x74813,x74811)+~E(f836(f836(f299(x74814),x74813),f836(f836(f299(x74814),x74812),f178(f906(x74814,a895)))),f836(f836(f299(x74814),x74815),f836(f836(f299(x74814),x74811),f178(f906(x74814,a895)))))
% 190.77/190.68 [7482]E(x74821,x74822)+E(x74821,x74823)+~E(f836(f836(f299(x74824),x74823),f836(f836(f299(x74824),x74822),f178(f906(x74824,a895)))),f836(f836(f299(x74824),x74825),f836(f836(f299(x74824),x74821),f178(f906(x74824,a895)))))
% 190.77/190.68 [7483]E(x74831,x74832)+E(x74831,x74833)+~E(f836(f836(f299(x74834),x74831),f836(f836(f299(x74834),x74835),f178(f906(x74834,a895)))),f836(f836(f299(x74834),x74832),f836(f836(f299(x74834),x74833),f178(f906(x74834,a895)))))
% 190.77/190.68 [8013]P24(x80131,x80132,x80133,x80134)+~P24(x80131,x80132,x80133,x80135)+~P1(f836(f836(f224(f906(x80131,a895)),x80134),x80135))
% 190.77/190.68 [8043]~E(f836(x80433,x80435),x80434)+~P24(x80431,x80432,x80433,f232(f906(x80431,a895)))+E(f836(f85(x80431,x80432,f232(f906(x80431,a895)),x80433),x80434),x80435)
% 190.77/190.68 [8189]E(x81891,x81892)+~E(f836(f300(x81893,x81894,x81895),x81891),f836(f300(x81893,x81894,x81895),x81892))+~P24(x81893,x81894,x81895,f836(f836(f91(f906(x81893,a895)),x81891),x81892))
% 190.77/190.68 [8266]P1(f836(x82662,x82664))+E(f836(f836(f128(x82661),f836(f179(f900(x82661)),f167(x82661,x82662,x82663))),x82663),f836(f836(f141(x82661),x82664),x82665))+~E(f836(f836(f124(x82661),f167(x82661,x82662,x82663)),f836(f836(f141(x82661),x82664),x82665)),x82663)
% 190.77/190.68 [8294]~P24(x82941,x82942,x82943,x82945)+~P24(x82941,x82942,x82943,x82944)+P24(x82941,x82942,x82943,f836(f836(f92(f906(x82941,a895)),x82944),x82945))
% 190.77/190.68 [8402]~P73(x84021)+E(f836(f836(f74(x84021),f836(x84022,x84023)),f836(f155(x84021),f836(f836(f144(x84024,x84021),x84022),f160(x84024,x84023,x84025)))),f836(f155(x84021),f836(f836(f144(x84024,x84021),x84022),x84025)))+~P1(f836(f836(f318(x84024),x84023),f836(f162(x84024),x84025)))
% 190.77/190.68 [8490]~P108(x84901)+~P13(x84901,f836(f836(f144(x84902,x84901),x84903),x84905))+P13(x84901,f836(f836(f144(x84902,x84901),x84903),f836(f836(f138(x84902,x84901,x84903),x84904),x84905)))
% 190.77/190.68 [8575]~P5(x85751)+P1(f836(f836(f224(x85751),f836(f836(f35(x85752,x85751),x85753),x85754)),f836(f836(f35(x85752,x85751),x85755),x85754)))+~P1(f836(f836(f224(f906(x85752,a895)),x85753),x85755))
% 190.77/190.68 [8576]~P5(x85761)+P1(f836(f836(f224(x85761),f836(f836(f36(x85762,x85761),x85763),x85764)),f836(f836(f36(x85762,x85761),x85765),x85764)))+~P1(f836(f836(f224(f906(x85762,a895)),x85765),x85763))
% 190.77/190.68 [8609]~P108(x86093)+P1(f836(f127(x86091),x86092))+~P1(f836(f127(x86091),f836(f836(f138(x86091,x86093,x86094),x86095),x86092)))
% 190.77/190.68 [8754]~P108(x87541)+~P1(f836(f836(f318(x87542),x87543),f836(f162(x87542),x87544)))+~P1(f836(f127(x87542),f836(f836(f138(x87542,x87541,x87545),x87543),x87544)))
% 190.77/190.68 [8844]~P108(x88441)+P13(x88441,f836(f836(f144(x88442,x88441),x88443),x88444))+~P13(x88441,f836(f836(f144(x88442,x88441),x88443),f836(f836(f138(x88442,x88441,x88443),x88445),x88444)))
% 190.77/190.68 [8890]~P24(x88902,x88901,x88904,x88903)+E(f836(f300(x88901,x88902,f85(x88902,x88901,x88903,x88904)),f836(f300(x88902,x88901,x88904),x88905)),x88905)+~P1(f836(f836(f224(f906(x88902,a895)),x88905),x88903))
% 190.77/190.68 [8943]~P108(x89432)+E(f836(f836(f138(x89431,x89432,x89433),x89434),x89435),f139(x89431,x89432,x89433,x89434,x89435))+P1(f836(f836(f318(x89432),f836(x89433,x89434)),f836(f300(x89431,x89432,x89433),f836(f162(x89431),x89435))))
% 190.77/190.68 [9024]~P108(x90242)+E(f139(x90241,x90242,x90243,x90244,x90245),x90245)+~P1(f836(f836(f318(x90242),f836(x90243,x90244)),f836(f300(x90241,x90242,x90243),f836(f162(x90241),x90245))))
% 190.77/190.68 [9038]~P24(x90382,x90381,x90383,x90385)+P1(f836(f836(f225(f906(x90381,a895)),f836(f300(x90382,x90381,x90383),x90384)),f836(f300(x90382,x90381,x90383),x90385)))+~P1(f836(f836(f225(f906(x90382,a895)),x90384),x90385))
% 190.77/190.68 [9196]~P24(x91961,x91962,x91963,f232(f906(x91961,a895)))+~P1(f836(f836(f224(f906(x91962,a895)),x91964),f836(f300(x91961,x91962,x91963),x91965)))+P1(f836(f836(f224(f906(x91961,a895)),f836(f301(x91961,x91962,x91963),x91964)),x91965))
% 190.77/190.68 [9219]~E(f836(f300(x92193,x92191,x92194),f232(f906(x92193,a895))),f232(f906(x92191,a895)))+P1(f836(f836(f224(f906(x92191,a895)),x92192),f836(f300(x92193,x92191,x92194),x92195)))+~P1(f836(f836(f224(f906(x92193,a895)),f836(f301(x92193,x92191,x92194),x92192)),x92195))
% 190.77/190.68 [9326]~P24(x93261,x93264,x93265,f232(f906(x93261,a895)))+~P1(f836(f836(f224(f906(x93264,a895)),f836(f300(x93261,x93264,x93265),x93262)),f836(f300(x93261,x93264,x93265),x93263)))+P1(f836(f836(f224(f906(x93261,a895)),x93262),x93263))
% 190.77/190.68 [9453]~P79(x94531)+~E(f836(x94533,f696(x94533,x94534,x94535,x94532,x94531)),f2(x94531))+E(f836(f155(x94531),f836(f836(f144(x94532,x94531),x94533),f836(f126(x94532,x94534),x94535))),f836(f155(x94531),f836(f836(f144(x94532,x94531),x94533),x94535)))
% 190.77/190.68 [9480]~P25(x94801,x94802,x94803,f232(f906(x94801,a895)),f232(f906(x94802,a895)))+~P1(f836(f836(f224(f906(x94802,a895)),x94804),f836(f300(x94801,x94802,x94803),x94805)))+P1(f836(f836(f224(f906(x94801,a895)),f836(f301(x94801,x94802,x94803),x94804)),x94805))
% 190.77/190.68 [9509]~P25(x95093,x95091,x95094,f232(f906(x95093,a895)),f232(f906(x95091,a895)))+P1(f836(f836(f224(f906(x95091,a895)),x95092),f836(f300(x95093,x95091,x95094),x95095)))+~P1(f836(f836(f224(f906(x95093,a895)),f836(f301(x95093,x95091,x95094),x95092)),x95095))
% 190.77/190.68 [9644]~P16(x96441,x96442,x96443)+~P1(f836(f29(x96441),x96445))+P1(f836(f61(x96441,x96442,x96443,x96444,x96445),f836(f836(f59(x96441,x96442,x96443),x96444),x96445)))
% 190.77/190.68 [9723]~P25(x97232,x97231,x97234,f232(f906(x97232,a895)),f232(f906(x97231,a895)))+~P25(x97231,x97233,x97235,f232(f906(x97231,a895)),f232(f906(x97233,a895)))+E(f836(f67(x97231,x97232,x97233,f85(x97232,x97231,f232(f906(x97232,a895)),x97234)),f85(x97231,x97233,f232(f906(x97231,a895)),x97235)),f85(x97232,x97233,f232(f906(x97232,a895)),f836(f67(x97231,x97233,x97232,x97235),x97234)))
% 190.77/190.68 [9724]P1(f836(x97241,f615(x97242,x97241,x97243,x97244,x97245)))+~P1(f836(f836(f224(f906(x97245,a895)),x97244),x97243))+P1(f836(f836(f224(f906(x97245,a895)),f836(f836(f92(f906(x97245,a895)),x97244),f836(f252(x97245),x97241))),f836(f836(f92(f906(x97245,a895)),x97243),f836(f252(x97245),x97242))))
% 190.77/190.68 [9738]~P79(x97381)+~P1(f836(x97384,f696(x97383,x97384,x97385,x97382,x97381)))+E(f836(f155(x97381),f836(f836(f144(x97382,x97381),x97383),f836(f126(x97382,x97384),x97385))),f836(f155(x97381),f836(f836(f144(x97382,x97381),x97383),x97385)))
% 190.77/190.68 [9815]~P5(x98155)+P1(f836(f836(f318(x98151),f575(x98152,x98153,x98151,x98154,x98155)),x98153))+P1(f836(f836(f224(x98155),x98154),f836(f836(f36(x98151,x98155),x98153),x98152)))
% 190.77/190.68 [9819]~P79(x98191)+E(f836(f155(x98191),f836(f836(f144(x98192,x98191),x98193),f836(f126(x98192,x98194),x98195))),f836(f155(x98191),f836(f836(f144(x98192,x98191),x98193),x98195)))+P1(f836(f836(f318(x98192),f696(x98193,x98194,x98195,x98192,x98191)),f836(f162(x98192),x98195)))
% 190.77/190.68 [9829]~P1(f836(x98295,f615(x98295,x98293,x98294,x98292,x98291)))+~P1(f836(f836(f224(f906(x98291,a895)),x98292),x98294))+P1(f836(f836(f224(f906(x98291,a895)),f836(f836(f92(f906(x98291,a895)),x98292),f836(f252(x98291),x98293))),f836(f836(f92(f906(x98291,a895)),x98294),f836(f252(x98291),x98295))))
% 190.77/190.68 [9845]~P24(x98455,x98453,x98454,f232(f906(x98455,a895)))+P1(f836(x98451,x98452))+P1(f836(f836(f318(x98453),f789(x98452,x98451,x98454,x98453,x98455)),f836(f300(x98455,x98453,x98454),f232(f906(x98455,a895)))))
% 190.77/190.68 [9868]P33(x98681,x98682,x98683,x98684,x98685)+~E(f836(f179(f900(x98682)),x98685),f836(f179(f900(x98681)),x98684))+P1(f836(f836(f225(a899),f677(x98685,x98684,x98683,x98682,x98681)),f836(f179(f900(x98681)),x98684)))
% 190.77/190.68 [9869]P33(x98691,x98692,x98693,x98694,x98695)+~E(f836(f179(f900(x98692)),x98695),f836(f179(f900(x98691)),x98694))+P1(f836(f836(f225(a899),f713(x98693,x98695,x98692,x98694,x98691)),f836(f179(f900(x98691)),x98694)))
% 190.77/190.68 [9900]P1(f836(f836(f318(x99001),f615(x99002,x99003,x99004,x99005,x99001)),x99005))+~P1(f836(f836(f224(f906(x99001,a895)),x99005),x99004))+P1(f836(f836(f224(f906(x99001,a895)),f836(f836(f92(f906(x99001,a895)),x99005),f836(f252(x99001),x99003))),f836(f836(f92(f906(x99001,a895)),x99004),f836(f252(x99001),x99002))))
% 190.77/190.68 [9943]~P5(x99431)+~P1(f836(f836(f224(x99431),x99432),f836(x99435,f575(x99435,x99434,x99433,x99432,x99431))))+P1(f836(f836(f224(x99431),x99432),f836(f836(f36(x99433,x99431),x99434),x99435)))
% 190.77/190.68 [9980]~P74(x99801)+~P1(f836(f29(x99802),x99805))+E(f836(f836(f836(f60(x99801,x99802,f75(x99801)),f836(f836(f18(x99802,x99801,x99801),f836(f836(f8(x99801,f906(x99801,x99801),x99802),f75(x99801)),x99803)),x99804)),f72(x99801)),x99805),f836(f836(f75(x99801),f836(f836(f836(f60(x99801,x99802,f75(x99801)),x99803),f72(x99801)),x99805)),f836(f836(f836(f60(x99801,x99802,f75(x99801)),x99804),f72(x99801)),x99805)))
% 190.77/190.68 [10035]~P1(f836(f836(f318(f905(f906(x100351,a895),f906(x100351,a895))),f836(f836(f242(f906(x100351,a895),f906(x100351,a895)),x100355),x100354)),f309(x100351,x100353)))+~P1(f836(f836(f318(x100351),x100352),x100355))+P1(f836(f836(f318(f905(x100351,x100351)),f836(f836(f242(x100351,x100351),x100352),f542(x100353,x100354,x100355,x100351,x100352))),x100353))
% 190.77/190.68 [10174]~P1(f836(f836(f318(f905(f900(x101741),f900(x101741))),f836(f836(f242(f900(x101741),f900(x101741)),f836(f836(f124(x101741),x101745),x101742)),f836(f836(f124(x101741),x101745),x101743))),f137(x101741,x101744)))+P1(f836(f836(f318(f905(f900(x101741),f900(x101741))),f836(f836(f242(f900(x101741),f900(x101741)),x101742),x101743)),f137(x101741,x101744)))+P1(f836(f836(f318(f905(x101741,x101741)),f836(f836(f242(x101741,x101741),f665(x101744,x101743,x101742,x101745,x101741)),f665(x101744,x101743,x101742,x101745,x101741))),x101744))
% 190.77/190.68 [7360]~E(x73603,x73605)+E(f836(f836(f154(x73601),f836(f836(f149(x73601,x73602),x73603),x73604)),x73605),x73604)+~P1(f836(f836(f225(a899),x73603),f836(f179(f900(x73601)),x73602)))
% 190.77/190.68 [7476]~E(f836(f836(f124(x74761),x74762),x74764),f836(f836(f124(x74761),x74763),x74765))+E(f836(f836(f165(x74761),f836(f179(f900(x74761)),x74762)),x74763),x74762)+P1(f836(f836(f224(a899),f836(f179(f900(x74761)),x74763)),f836(f179(f900(x74761)),x74762)))
% 190.77/190.68 [7974]~E(f836(f836(f124(x79741),x79742),x79744),f836(f836(f124(x79741),x79743),x79745))+E(f836(f836(f165(x79741),f836(f179(f900(x79741)),x79742)),x79743),x79742)+~P1(f836(f836(f224(a899),f836(f179(f900(x79741)),x79742)),f836(f179(f900(x79741)),x79743)))
% 190.77/190.68 [7998]~P1(f836(f29(x79981),f836(x79984,x79985)))+~P1(f836(f836(f318(x79982),x79985),x79983))+P1(f836(f29(x79981),f836(f836(f36(x79982,f906(x79981,a895)),x79983),x79984)))
% 190.77/190.68 [8173]~P52(x81731,x81733,x81735)+~P52(x81731,x81732,x81734)+P52(x81731,f836(f836(f91(f906(x81731,a895)),x81732),x81733),f836(f836(f91(f906(f905(x81731,x81731),a895)),x81734),x81735))
% 190.77/190.68 [8174]~P52(x81741,x81743,x81745)+~P52(x81741,x81742,x81744)+P52(x81741,f836(f836(f92(f906(x81741,a895)),x81742),x81743),f836(f836(f92(f906(f905(x81741,x81741),a895)),x81744),x81745))
% 190.77/190.68 [8530]E(f836(f836(f242(x85301,x85302),f836(f836(f154(x85301),x85303),x85304)),f836(f836(f154(x85302),x85305),x85304)),f836(f836(f154(f905(x85301,x85302)),f836(f836(f171(x85301,x85302),x85303),x85305)),x85304))+~P1(f836(f836(f225(a899),x85304),f836(f179(f900(x85301)),x85303)))+~P1(f836(f836(f225(a899),x85304),f836(f179(f900(x85302)),x85305)))
% 190.77/190.68 [8683]~P52(x86831,x86833,x86834)+P1(f836(f836(f318(x86831),x86832),x86833))+~P1(f836(f836(f318(f905(x86831,x86831)),f836(f836(f242(x86831,x86831),x86835),x86832)),x86834))
% 190.77/190.68 [8684]~P52(x86841,x86843,x86844)+P1(f836(f836(f318(x86841),x86842),x86843))+~P1(f836(f836(f318(f905(x86841,x86841)),f836(f836(f242(x86841,x86841),x86842),x86845)),x86844))
% 190.77/190.68 [8685]~P8(x86851,x86853,x86854)+P1(f836(f836(f318(x86851),x86852),x86853))+~P1(f836(f836(f318(f905(x86851,x86851)),f836(f836(f242(x86851,x86851),x86855),x86852)),x86854))
% 190.77/190.68 [8686]~P8(x86861,x86863,x86864)+P1(f836(f836(f318(x86861),x86862),x86863))+~P1(f836(f836(f318(f905(x86861,x86861)),f836(f836(f242(x86861,x86861),x86862),x86865)),x86864))
% 190.77/190.68 [8967]~P8(x89671,x89675,x89672)+E(f836(f275(x89671,x89671,x89672),f836(f836(f299(x89671),x89673),f178(f906(x89671,a895)))),f836(f275(x89671,x89671,x89672),f836(f836(f299(x89671),x89674),f178(f906(x89671,a895)))))+~P1(f836(f836(f318(f905(x89671,x89671)),f836(f836(f242(x89671,x89671),x89673),x89674)),x89672))
% 190.77/190.68 [9152]P1(f836(x91521,x91522))+~P1(f836(f836(f318(x91523),x91522),x91525))+P1(f836(f836(f318(x91523),f881(x91521,x91524,x91525,x91523)),f836(f836(f91(f906(x91523,a895)),x91525),x91524)))
% 190.77/190.68 [9153]P1(f836(x91531,x91532))+~P1(f836(f836(f318(x91533),x91532),x91534))+P1(f836(f836(f318(x91533),f881(x91531,x91534,x91535,x91533)),f836(f836(f91(f906(x91533,a895)),x91535),x91534)))
% 190.77/190.68 [9161]~P1(f836(x91612,x91615))+~P1(f836(f836(f318(x91611),x91615),x91614))+P1(f836(f836(f318(x91611),f323(x91612,x91613,x91614,x91611)),f836(f836(f91(f906(x91611,a895)),x91614),x91613)))
% 190.77/190.68 [9162]~P1(f836(x91622,x91625))+~P1(f836(f836(f318(x91621),x91625),x91623))+P1(f836(f836(f318(x91621),f323(x91622,x91623,x91624,x91621)),f836(f836(f91(f906(x91621,a895)),x91624),x91623)))
% 190.77/190.68 [9177]~P1(f836(f836(f224(f906(x91771,a895)),x91775),x91773))+~P1(f836(f836(f224(f906(x91771,a895)),x91772),x91774))+P1(f836(f836(f224(f906(x91771,a895)),f836(f836(f23(f906(x91771,a895)),x91772),x91773)),f836(f836(f23(f906(x91771,a895)),x91774),x91775)))
% 190.77/190.68 [9178]~P1(f836(f836(f224(f906(x91781,a895)),x91783),x91785))+~P1(f836(f836(f224(f906(x91781,a895)),x91782),x91784))+P1(f836(f836(f224(f906(x91781,a895)),f836(f836(f91(f906(x91781,a895)),x91782),x91783)),f836(f836(f91(f906(x91781,a895)),x91784),x91785)))
% 190.77/190.68 [9179]~P1(f836(f836(f224(f906(x91791,a895)),x91793),x91795))+~P1(f836(f836(f224(f906(x91791,a895)),x91792),x91794))+P1(f836(f836(f224(f906(x91791,a895)),f836(f836(f92(f906(x91791,a895)),x91792),x91793)),f836(f836(f92(f906(x91791,a895)),x91794),x91795)))
% 190.77/190.68 [9273]P1(f836(f836(f318(f905(x92731,x92731)),f836(f836(f242(x92731,x92731),x92732),x92733)),f311(x92731,x92734,x92735)))+~P1(f836(f836(f224(a899),f836(x92734,x92732)),f836(x92734,x92733)))+~P1(f836(f836(f318(f905(x92731,x92731)),f836(f836(f242(x92731,x92731),x92732),x92733)),x92735))
% 190.77/190.68 [9463]P1(f836(f836(f318(f905(x94631,x94631)),f836(f836(f242(x94631,x94631),x94632),x94633)),f297(x94631,x94634)))+~P1(f836(f836(f318(f905(x94631,x94631)),f836(f836(f242(x94631,x94631),x94632),x94635)),f297(x94631,x94634)))+~P1(f836(f836(f318(f905(x94631,x94631)),f836(f836(f242(x94631,x94631),x94635),x94633)),x94634))
% 190.77/190.68 [9464]P1(f836(f836(f318(f905(x94641,x94641)),f836(f836(f242(x94641,x94641),x94642),x94643)),f297(x94641,x94644)))+~P1(f836(f836(f318(f905(x94641,x94641)),f836(f836(f242(x94641,x94641),x94645),x94643)),f297(x94641,x94644)))+~P1(f836(f836(f318(f905(x94641,x94641)),f836(f836(f242(x94641,x94641),x94642),x94645)),x94644))
% 190.77/190.68 [9565]E(x95651,x95652)+E(f836(a102,f561(x95653,x95654,x95651,x95652,x95655)),x95654)+~P1(f836(f836(f318(f905(x95655,x95655)),f836(f836(f242(x95655,x95655),x95652),x95651)),f836(f836(f173(f905(x95655,x95655),a895),x95654),x95653)))
% 190.77/190.68 [9566]E(x95661,x95662)+E(f836(a102,f563(x95663,x95664,x95661,x95662,x95665)),x95664)+~P1(f836(f836(f318(f905(x95665,x95665)),f836(f836(f242(x95665,x95665),x95662),x95661)),f836(f836(f173(f905(x95665,x95665),a895),x95664),x95663)))
% 190.77/190.68 [9567]E(x95671,f2(a899))+E(f836(a102,f561(x95672,x95671,x95673,x95674,x95675)),x95671)+~P1(f836(f836(f318(f905(x95675,x95675)),f836(f836(f242(x95675,x95675),x95674),x95673)),f836(f836(f173(f905(x95675,x95675),a895),x95671),x95672)))
% 190.77/190.68 [9568]E(x95681,f2(a899))+E(f836(a102,f563(x95682,x95681,x95683,x95684,x95685)),x95681)+~P1(f836(f836(f318(f905(x95685,x95685)),f836(f836(f242(x95685,x95685),x95684),x95683)),f836(f836(f173(f905(x95685,x95685),a895),x95681),x95682)))
% 190.77/190.68 [9593]P1(f836(f836(f318(f905(x95931,x95931)),f836(f836(f242(x95931,x95931),x95932),x95933)),f836(f836(f279(x95931,x95931,x95931),x95934),f297(x95931,x95934))))+~P1(f836(f836(f318(f905(x95931,x95931)),f836(f836(f242(x95931,x95931),x95932),x95935)),x95934))+~P1(f836(f836(f318(f905(x95931,x95931)),f836(f836(f242(x95931,x95931),x95935),x95933)),x95934))
% 190.77/190.68 [9603]~P1(f836(f836(f318(f905(x96031,x96031)),f836(f836(f242(x96031,x96031),x96032),x96035)),f297(x96031,x96034)))+P1(f836(f836(f318(f905(x96031,x96031)),f836(f836(f242(x96031,x96031),x96032),x96033)),f836(f836(f279(x96031,x96031,x96031),x96034),f297(x96031,x96034))))+~P1(f836(f836(f318(f905(x96031,x96031)),f836(f836(f242(x96031,x96031),x96035),x96033)),x96034))
% 190.77/190.68 [9638]~P8(x96381,x96385,x96382)+~P1(f836(f836(f318(f905(x96381,x96381)),f836(f836(f242(x96381,x96381),x96383),x96384)),x96382))+P1(f836(f836(f224(f906(x96381,a895)),f836(f275(x96381,x96381,x96382),f836(f836(f299(x96381),x96383),f178(f906(x96381,a895))))),f836(f275(x96381,x96381,x96382),f836(f836(f299(x96381),x96384),f178(f906(x96381,a895))))))
% 190.77/190.68 [9696]P1(f836(f836(f318(f905(x96961,x96961)),f836(f836(f242(x96961,x96961),x96962),x96963)),f836(f836(f279(x96961,x96961,x96961),x96964),f297(x96961,x96964))))+~P1(f836(f836(f318(f905(x96961,x96961)),f836(f836(f242(x96961,x96961),x96962),x96965)),f836(f836(f279(x96961,x96961,x96961),x96964),f297(x96961,x96964))))+~P1(f836(f836(f318(f905(x96961,x96961)),f836(f836(f242(x96961,x96961),x96965),x96963)),x96964))
% 190.77/190.68 [9697]P1(f836(f836(f318(f905(x96971,x96971)),f836(f836(f242(x96971,x96971),x96972),x96973)),f836(f836(f279(x96971,x96971,x96971),x96974),f297(x96971,x96974))))+~P1(f836(f836(f318(f905(x96971,x96971)),f836(f836(f242(x96971,x96971),x96975),x96973)),f836(f836(f279(x96971,x96971,x96971),x96974),f297(x96971,x96974))))+~P1(f836(f836(f318(f905(x96971,x96971)),f836(f836(f242(x96971,x96971),x96972),x96975)),x96974))
% 190.77/190.68 [9747]~P1(f836(f61(x97471,x97471,x97474,x97472,x97473),x97475))+P1(f836(f836(f318(x97471),x97472),x97473))+P1(f836(f57(x97471,x97474,f836(f836(f299(x97471),x97472),x97473)),x97475))
% 190.77/190.68 [9785]~E(f836(f300(x97853,x97852,x97855),x97854),x97851)+E(x97851,f178(f906(x97852,a895)))+P1(f836(f836(f224(f906(x97853,a895)),f836(f300(x97852,x97853,f416(x97854,x97853,x97852,x97851)),x97851)),x97854))
% 190.77/190.68 [9832]~P5(x98325)+P1(f836(f836(f318(x98321),f430(x98322,x98323,x98324,x98321,x98325)),x98324))+P1(f836(f836(f224(x98325),f836(f836(f35(x98321,x98325),x98324),x98323)),x98322))
% 190.77/190.68 [9887]P33(x98871,x98872,x98873,x98874,x98875)+~E(f836(f179(f900(x98871)),x98874),f836(f179(f900(x98872)),x98875))+P1(f836(f836(f318(f905(x98871,x98872)),f675(x98875,x98874,x98873,x98872,x98871)),f836(f162(f905(x98871,x98872)),f836(f836(f171(x98871,x98872),x98874),x98875))))
% 190.77/190.68 [9888]P33(x98881,x98882,x98883,x98884,x98885)+~E(f836(f179(f900(x98881)),x98884),f836(f179(f900(x98882)),x98885))+P1(f836(f836(f318(f905(x98881,x98882)),f676(x98883,x98885,x98884,x98882,x98881)),f836(f162(f905(x98881,x98882)),f836(f836(f171(x98881,x98882),x98884),x98885))))
% 190.77/190.68 [10014]E(x100141,x100142)+P1(f836(f836(f318(f905(x100143,x100143)),f836(f836(f242(x100143,x100143),x100141),f564(x100144,x100145,x100142,x100141,x100143))),x100144))+~P1(f836(f836(f318(f905(x100143,x100143)),f836(f836(f242(x100143,x100143),x100141),x100142)),f836(f836(f173(f905(x100143,x100143),a895),x100145),x100144)))
% 190.77/190.68 [10015]E(x100151,f2(a899))+P1(f836(f836(f318(f905(x100152,x100152)),f836(f836(f242(x100152,x100152),x100153),f564(x100154,x100151,x100155,x100153,x100152))),x100154))+~P1(f836(f836(f318(f905(x100152,x100152)),f836(f836(f242(x100152,x100152),x100153),x100155)),f836(f836(f173(f905(x100152,x100152),a895),x100151),x100154)))
% 190.77/190.68 [10054]~P5(x100541)+~P1(f836(f836(f224(x100541),f836(x100544,f430(x100545,x100544,x100543,x100542,x100541))),x100545))+P1(f836(f836(f224(x100541),f836(f836(f35(x100542,x100541),x100543),x100544)),x100545))
% 190.77/190.68 [10106]E(x101061,x101062)+P1(f836(f836(f318(f905(x101063,x101063)),f836(f836(f242(x101063,x101063),f562(x101064,x101065,x101061,x101062,x101063)),x101061)),x101064))+~P1(f836(f836(f318(f905(x101063,x101063)),f836(f836(f242(x101063,x101063),x101062),x101061)),f836(f836(f173(f905(x101063,x101063),a895),x101065),x101064)))
% 190.77/190.68 [10107]E(x101071,f2(a899))+P1(f836(f836(f318(f905(x101072,x101072)),f836(f836(f242(x101072,x101072),f562(x101073,x101071,x101074,x101075,x101072)),x101074)),x101073))+~P1(f836(f836(f318(f905(x101072,x101072)),f836(f836(f242(x101072,x101072),x101075),x101074)),f836(f836(f173(f905(x101072,x101072),a895),x101071),x101073)))
% 190.77/190.68 [10111]E(x101111,x101112)+P1(f836(f836(f318(f905(x101113,x101113)),f836(f836(f242(x101113,x101113),x101111),f562(x101114,x101115,x101112,x101111,x101113))),f836(f836(f173(f905(x101113,x101113),a895),f561(x101114,x101115,x101112,x101111,x101113)),x101114)))+~P1(f836(f836(f318(f905(x101113,x101113)),f836(f836(f242(x101113,x101113),x101111),x101112)),f836(f836(f173(f905(x101113,x101113),a895),x101115),x101114)))
% 190.77/190.68 [10112]E(x101121,f2(a899))+P1(f836(f836(f318(f905(x101122,x101122)),f836(f836(f242(x101122,x101122),x101123),f562(x101124,x101121,x101125,x101123,x101122))),f836(f836(f173(f905(x101122,x101122),a895),f561(x101124,x101121,x101125,x101123,x101122)),x101124)))+~P1(f836(f836(f318(f905(x101122,x101122)),f836(f836(f242(x101122,x101122),x101123),x101125)),f836(f836(f173(f905(x101122,x101122),a895),x101121),x101124)))
% 190.77/190.68 [10165]E(x101651,x101652)+P1(f836(f836(f318(f905(x101653,x101653)),f836(f836(f242(x101653,x101653),f564(x101654,x101655,x101651,x101652,x101653)),x101651)),f836(f836(f173(f905(x101653,x101653),a895),f563(x101654,x101655,x101651,x101652,x101653)),x101654)))+~P1(f836(f836(f318(f905(x101653,x101653)),f836(f836(f242(x101653,x101653),x101652),x101651)),f836(f836(f173(f905(x101653,x101653),a895),x101655),x101654)))
% 190.77/190.68 [10166]E(x101661,f2(a899))+P1(f836(f836(f318(f905(x101662,x101662)),f836(f836(f242(x101662,x101662),f564(x101663,x101661,x101664,x101665,x101662)),x101664)),f836(f836(f173(f905(x101662,x101662),a895),f563(x101663,x101661,x101664,x101665,x101662)),x101663)))+~P1(f836(f836(f318(f905(x101662,x101662)),f836(f836(f242(x101662,x101662),x101665),x101664)),f836(f836(f173(f905(x101662,x101662),a895),x101661),x101663)))
% 190.77/190.68 [10199]~P73(x101992)+~P1(f836(f29(x101991),x101995))+E(f836(f836(f6(x101991,x101992),f836(f836(f7(x101991,x101992,x101992),f836(f836(f18(x101991,x101992,f906(x101992,x101992)),f836(f836(f8(a895,f906(x101992,f906(x101992,x101992)),x101991),f86(x101992)),f836(f836(f7(x101991,f906(x101991,a895),a895),f318(x101991)),x101993))),x101994)),f2(x101992))),x101995),f836(f836(f6(x101991,x101992),x101994),f836(f836(f92(f906(x101991,a895)),x101995),x101993)))
% 190.77/190.68 [8751]~P74(x87511)+~P1(f836(f29(x87514),x87515))+E(f836(f836(f75(x87511),f836(x87512,x87513)),f836(f836(f9(x87514,x87511),x87512),f836(f836(f23(f906(x87514,a895)),x87515),f836(f836(f299(x87514),x87513),f178(f906(x87514,a895)))))),f836(f836(f9(x87514,x87511),x87512),f836(f836(f299(x87514),x87513),x87515)))
% 190.77/190.68 [8752]~P73(x87521)+~P1(f836(f29(x87524),x87525))+E(f836(f836(f74(x87521),f836(x87522,x87523)),f836(f836(f6(x87524,x87521),x87522),f836(f836(f23(f906(x87524,a895)),x87525),f836(f836(f299(x87524),x87523),f178(f906(x87524,a895)))))),f836(f836(f6(x87524,x87521),x87522),f836(f836(f299(x87524),x87523),x87525)))
% 190.77/190.68 [9084]~P108(x90842)+~P13(x90842,f836(f158(x90842),f836(f836(f144(x90841,x90842),x90844),x90845)))+E(f836(f126(x90841,f836(f836(f8(x90842,a895,x90841),f836(f225(x90842),x90843)),x90844)),x90845),f167(x90841,f836(f836(f8(x90842,a895,x90841),f836(f225(x90842),x90843)),x90844),x90845))
% 190.77/190.68 [9108]~P73(x91081)+E(f836(f836(f74(x91081),f836(f836(f6(a899,x91081),x91082),f293(a899,x91083,x91084))),f836(f836(f6(a899,x91081),x91082),f293(a899,f836(f836(f74(a899),x91084),f72(a899)),f836(f836(f74(a899),x91084),x91085)))),f836(f836(f6(a899,x91081),x91082),f293(a899,x91083,f836(f836(f74(a899),x91084),x91085))))+~P1(f836(f836(f224(a899),x91083),f836(f836(f74(a899),x91084),f72(a899))))
% 190.77/190.68 [9109]~P1(f836(f836(f318(x91091),x91094),x91095))+~P1(f836(f836(f224(f906(x91091,a895)),f836(f162(x91091),x91092)),x91095))+P1(f836(f836(f224(f906(x91091,a895)),f836(f162(x91091),f836(f836(f149(x91091,x91092),x91093),x91094))),x91095))
% 190.77/190.68 [9335]~P5(x93352)+~P1(f836(f29(x93351),x93355))+E(f836(f836(f59(x93351,x93352,f836(f836(f8(x93352,f906(x93352,x93352),x93351),f91(x93352)),x93353)),x93354),x93355),f836(f836(f91(x93352),x93354),f836(f836(f35(x93351,x93352),x93355),x93353)))
% 190.77/190.68 [9336]~P5(x93362)+~P1(f836(f29(x93361),x93365))+E(f836(f836(f59(x93361,x93362,f836(f836(f8(x93362,f906(x93362,x93362),x93361),f92(x93362)),x93363)),x93364),x93365),f836(f836(f92(x93362),x93364),f836(f836(f36(x93361,x93362),x93365),x93363)))
% 190.77/190.68 [9388]E(f836(x93881,x93882),f836(x93881,x93883))+P1(f836(f836(f225(a899),f836(x93881,x93882)),f836(x93881,x93883)))+~P1(f836(f836(f318(f905(x93884,x93884)),f836(f836(f242(x93884,x93884),x93882),x93883)),f143(x93884,f836(f836(f141(f906(x93884,a899)),x93881),x93885))))
% 190.77/190.68 [9421]~E(f836(x94214,x94212),f836(x94214,x94213))+~P1(f836(f836(f318(f905(x94211,x94211)),f836(f836(f242(x94211,x94211),x94212),x94213)),f143(x94211,x94215)))+P1(f836(f836(f318(f905(x94211,x94211)),f836(f836(f242(x94211,x94211),x94212),x94213)),f143(x94211,f836(f836(f141(f906(x94211,a899)),x94214),x94215))))
% 190.77/190.68 [9441]~P24(x94411,x94412,x94413,x94415)+P24(x94411,x94412,x94413,f836(f836(f299(x94411),x94414),x94415))+P1(f836(f836(f318(x94412),f836(x94413,x94414)),f836(f300(x94411,x94412,x94413),f836(f836(f23(f906(x94411,a895)),x94415),f836(f836(f299(x94411),x94414),f178(f906(x94411,a895)))))))
% 190.77/190.68 [9444]P1(f836(x94442,x94445))+~P1(f836(f836(f318(x94441),x94445),f836(f162(x94441),x94443)))+E(f836(f836(f128(x94441),f836(f179(f900(x94441)),f167(x94441,x94442,f836(f836(f124(x94441),x94443),x94444)))),f836(f836(f124(x94441),x94443),x94444)),f836(f836(f124(x94441),f836(f836(f128(x94441),f836(f179(f900(x94441)),f167(x94441,x94442,x94443))),x94443)),x94444))
% 190.77/190.68 [9449]~P1(f836(f836(f318(f905(x94491,x94491)),f836(f836(f242(x94491,x94491),x94492),x94493)),f143(x94491,x94495)))+~P1(f836(f836(f224(a899),f836(x94494,x94492)),f836(x94494,x94493)))+P1(f836(f836(f318(f905(x94491,x94491)),f836(f836(f242(x94491,x94491),x94492),x94493)),f143(x94491,f836(f836(f141(f906(x94491,a899)),x94494),x94495))))
% 190.77/190.68 [9516]P1(f836(f836(f318(f905(x95164,x95164)),f836(f836(f242(x95164,x95164),x95162),x95163)),f143(x95164,x95165)))+P1(f836(f836(f225(a899),f836(x95161,x95162)),f836(x95161,x95163)))+~P1(f836(f836(f318(f905(x95164,x95164)),f836(f836(f242(x95164,x95164),x95162),x95163)),f143(x95164,f836(f836(f141(f906(x95164,a899)),x95161),x95165))))
% 190.77/190.68 [9668]~P1(f836(f836(f318(f905(f900(x96681),f900(x96681))),f836(f836(f242(f900(x96681),f900(x96681)),x96682),x96684)),f148(x96681,x96685)))+~P1(f836(f836(f225(a899),x96683),f836(f179(f900(x96681)),x96682)))+P1(f836(f836(f318(f905(x96681,x96681)),f836(f836(f242(x96681,x96681),f836(f836(f154(x96681),x96682),x96683)),f836(f836(f154(x96681),x96684),x96683))),x96685))
% 190.77/190.68 [9910]E(x99101,f2(a1))+~P1(f836(f45(x99103,x99101),f836(f836(f242(a1,a1),x99104),x99105)))+P1(f836(f45(f836(f836(f75(a1),x99102),x99103),x99101),f836(f836(f242(a1,a1),f836(f836(f74(a1),f836(f836(f75(a1),x99102),x99104)),f836(f836(f31(a1),f836(f836(f75(a1),x99102),x99105)),x99101))),f41(a1,f836(f836(f75(a1),x99102),x99105),x99101))))
% 190.77/190.68 [9911]~P1(f836(f836(f225(a899),f2(a899)),x99113))+~P1(f836(f44(x99112,x99113),f836(f836(f242(a899,a899),x99114),x99115)))+P1(f836(f44(f836(f836(f75(a899),x99111),x99112),x99113),f836(f836(f242(a899,a899),f836(f836(f74(a899),f836(f836(f75(a899),x99111),x99114)),f836(f836(f31(a899),f836(f836(f75(a899),x99111),x99115)),x99113))),f41(a899,f836(f836(f75(a899),x99111),x99115),x99113))))
% 190.77/190.68 [10222]~P73(x102222)+~P1(f836(f29(x102221),x102224))+E(f836(f836(f6(x102221,x102222),x102223),f836(f252(x102221),f836(f836(f18(x102221,a895,a895),f836(f836(f8(a895,f906(a895,a895),x102221),a315),f836(f836(f7(x102221,f906(x102221,a895),a895),f318(x102221)),x102224))),f836(f836(f7(x102221,f906(x102221,a895),a895),f318(x102221)),x102225)))),f836(f836(f6(x102221,x102222),f836(f836(f7(x102221,x102222,x102222),f836(f836(f18(x102221,x102222,f906(x102222,x102222)),f836(f836(f8(a895,f906(x102222,f906(x102222,x102222)),x102221),f86(x102222)),f836(f836(f7(x102221,f906(x102221,a895),a895),f318(x102221)),x102225))),x102223)),f2(x102222))),x102224))
% 190.77/190.68 [8381]~E(f836(f836(f124(x83811),x83812),x83815),f836(f836(f124(x83811),x83813),x83814))+E(f836(f836(f124(x83811),f836(f836(f128(x83811),f836(f179(f900(x83811)),x83812)),x83813)),x83814),x83815)+P1(f836(f836(f224(a899),f836(f179(f900(x83811)),x83813)),f836(f179(f900(x83811)),x83812)))
% 190.77/190.68 [8578]~E(f836(f836(f124(x85782),x85783),x85781),f836(f836(f124(x85782),x85784),x85785))+E(x85781,f836(f836(f124(x85782),f836(f836(f128(x85782),f836(f179(f900(x85782)),x85783)),x85784)),x85785))+~P1(f836(f836(f224(a899),f836(f179(f900(x85782)),x85783)),f836(f179(f900(x85782)),x85784)))
% 190.77/190.68 [8666]~E(f836(f836(f74(a899),f836(f836(f75(a899),x86663),x86664)),x86661),f836(f836(f74(a899),f836(f836(f75(a899),x86662),x86664)),x86665))+~P1(f836(f836(f224(a899),x86663),x86662))+E(x86661,f836(f836(f74(a899),f836(f836(f75(a899),f836(f836(f23(a899),x86662),x86663)),x86664)),x86665))
% 190.77/190.68 [8667]~E(f836(f836(f74(a899),f836(f836(f75(a899),x86671),x86673)),x86674),f836(f836(f74(a899),f836(f836(f75(a899),x86672),x86673)),x86675))+~P1(f836(f836(f224(a899),x86672),x86671))+E(f836(f836(f74(a899),f836(f836(f75(a899),f836(f836(f23(a899),x86671),x86672)),x86673)),x86674),x86675)
% 190.77/190.68 [8835]E(f836(f836(f74(a899),f836(f836(f75(a899),x88351),x88352)),x88353),f836(f836(f74(a899),f836(f836(f75(a899),x88354),x88352)),x88355))+~P1(f836(f836(f224(a899),x88354),x88351))+~E(x88355,f836(f836(f74(a899),f836(f836(f75(a899),f836(f836(f23(a899),x88351),x88354)),x88352)),x88353))
% 190.77/190.68 [8836]E(f836(f836(f74(a899),f836(f836(f75(a899),x88361),x88362)),x88363),f836(f836(f74(a899),f836(f836(f75(a899),x88364),x88362)),x88365))+~P1(f836(f836(f224(a899),x88364),x88361))+~E(f836(f836(f74(a899),f836(f836(f75(a899),f836(f836(f23(a899),x88361),x88364)),x88362)),x88363),x88365)
% 190.77/190.68 [9721]~P61(x97212)+~P1(f836(f29(x97211),x97215))+E(f836(f836(f9(x97211,x97212),f836(f836(f18(x97211,x97212,x97212),f836(f836(f8(x97212,f906(x97212,x97212),x97211),f281(x97212)),x97213)),x97214)),x97215),f836(f836(f281(x97212),f836(f836(f9(x97211,x97212),x97213),x97215)),f836(f836(f9(x97211,x97212),x97214),x97215)))
% 190.77/190.68 [9851]~E(f566(x98515,x98514,x98513,x98512,x98511),f567(x98515,x98514,x98513,x98512,x98511))+P1(f836(f836(f318(f905(x98511,x98511)),f836(f836(f242(x98511,x98511),x98512),x98513)),f297(x98511,x98514)))+~P1(f836(f836(f318(f905(x98511,x98511)),f836(f836(f242(x98511,x98511),x98512),x98513)),f297(x98511,f836(f836(f91(f906(f905(x98511,x98511),a895)),x98514),x98515))))
% 190.77/190.68 [9852]~E(f569(x98525,x98524,x98523,x98522,x98521),f570(x98525,x98524,x98523,x98522,x98521))+P1(f836(f836(f318(f905(x98521,x98521)),f836(f836(f242(x98521,x98521),x98522),x98523)),f297(x98521,x98524)))+~P1(f836(f836(f318(f905(x98521,x98521)),f836(f836(f242(x98521,x98521),x98522),x98523)),f297(x98521,f836(f836(f91(f906(f905(x98521,x98521),a895)),x98524),x98525))))
% 190.77/190.68 [10044]P1(f836(f836(f318(f905(x100441,x100441)),f836(f836(f242(x100441,x100441),x100442),f570(x100445,x100444,x100443,x100442,x100441))),f297(x100441,x100444)))+P1(f836(f836(f318(f905(x100441,x100441)),f836(f836(f242(x100441,x100441),x100442),x100443)),f297(x100441,x100444)))+~P1(f836(f836(f318(f905(x100441,x100441)),f836(f836(f242(x100441,x100441),x100442),x100443)),f297(x100441,f836(f836(f91(f906(f905(x100441,x100441),a895)),x100444),x100445))))
% 190.77/190.68 [10133]P1(f836(f836(f318(f905(x101331,x101331)),f836(f836(f242(x101331,x101331),f567(x101335,x101334,x101333,x101332,x101331)),x101333)),f297(x101331,x101334)))+P1(f836(f836(f318(f905(x101331,x101331)),f836(f836(f242(x101331,x101331),x101332),x101333)),f297(x101331,x101334)))+~P1(f836(f836(f318(f905(x101331,x101331)),f836(f836(f242(x101331,x101331),x101332),x101333)),f297(x101331,f836(f836(f91(f906(f905(x101331,x101331),a895)),x101334),x101335))))
% 190.77/190.68 [10172]P1(f836(f836(f318(f905(x101721,x101721)),f836(f836(f242(x101721,x101721),x101722),x101723)),f297(x101721,x101724)))+P1(f836(f836(f318(f905(x101721,x101721)),f836(f836(f242(x101721,x101721),f566(x101725,x101724,x101723,x101722,x101721)),f567(x101725,x101724,x101723,x101722,x101721))),x101725))+~P1(f836(f836(f318(f905(x101721,x101721)),f836(f836(f242(x101721,x101721),x101722),x101723)),f297(x101721,f836(f836(f91(f906(f905(x101721,x101721),a895)),x101724),x101725))))
% 190.77/190.68 [10173]P1(f836(f836(f318(f905(x101731,x101731)),f836(f836(f242(x101731,x101731),x101732),x101733)),f297(x101731,x101734)))+P1(f836(f836(f318(f905(x101731,x101731)),f836(f836(f242(x101731,x101731),f570(x101735,x101734,x101733,x101732,x101731)),f569(x101735,x101734,x101733,x101732,x101731))),x101735))+~P1(f836(f836(f318(f905(x101731,x101731)),f836(f836(f242(x101731,x101731),x101732),x101733)),f297(x101731,f836(f836(f91(f906(f905(x101731,x101731),a895)),x101734),x101735))))
% 190.77/190.68 [10320]~P1(f836(f836(f318(f905(f900(x103201),f900(x103201))),f836(f836(f242(f900(x103201),f900(x103201)),x103204),x103205)),f148(x103201,x103202)))+~P1(f836(f836(f318(f905(x103201,x103201)),x103203),f836(f162(f905(x103201,x103201)),f836(f836(f171(x103201,x103201),x103204),x103205))))+P1(f836(f836(f247(x103201,x103201,a895),f836(f836(f7(x103201,f906(f905(x103201,x103201),a895),f906(x103201,a895)),f836(f836(f8(f906(x103201,f906(f906(f905(x103201,x103201),a895),a895)),f906(f906(f905(x103201,x103201),a895),f906(x103201,a895)),x103201),f7(x103201,f906(f905(x103201,x103201),a895),a895)),f836(f836(f8(f906(x103201,f905(x103201,x103201)),f906(x103201,f906(f906(f905(x103201,x103201),a895),a895)),x103201),f836(f8(f905(x103201,x103201),f906(f906(f905(x103201,x103201),a895),a895),x103201),f318(f905(x103201,x103201)))),f242(x103201,x103201)))),x103202)),x103203))
% 190.77/190.68 [9751]~P1(f836(f836(f224(a899),x97513),x97512))+~P1(f836(f836(f224(a899),f836(f836(f74(a899),f836(f836(f75(a899),x97513),x97514)),x97511)),f836(f836(f74(a899),f836(f836(f75(a899),x97512),x97514)),x97515)))+P1(f836(f836(f224(a899),x97511),f836(f836(f74(a899),f836(f836(f75(a899),f836(f836(f23(a899),x97512),x97513)),x97514)),x97515)))
% 190.77/190.68 [9752]~P1(f836(f836(f224(a899),x97523),x97522))+~P1(f836(f836(f225(a899),f836(f836(f74(a899),f836(f836(f75(a899),x97523),x97524)),x97521)),f836(f836(f74(a899),f836(f836(f75(a899),x97522),x97524)),x97525)))+P1(f836(f836(f225(a899),x97521),f836(f836(f74(a899),f836(f836(f75(a899),f836(f836(f23(a899),x97522),x97523)),x97524)),x97525)))
% 190.77/190.68 [9769]~P1(f836(f836(f224(a899),x97691),x97694))+P1(f836(f836(f224(a899),f836(f836(f74(a899),f836(f836(f75(a899),x97691),x97692)),x97693)),f836(f836(f74(a899),f836(f836(f75(a899),x97694),x97692)),x97695)))+~P1(f836(f836(f224(a899),x97693),f836(f836(f74(a899),f836(f836(f75(a899),f836(f836(f23(a899),x97694),x97691)),x97692)),x97695)))
% 190.77/190.68 [9770]~P1(f836(f836(f224(a899),x97701),x97704))+P1(f836(f836(f225(a899),f836(f836(f74(a899),f836(f836(f75(a899),x97701),x97702)),x97703)),f836(f836(f74(a899),f836(f836(f75(a899),x97704),x97702)),x97705)))+~P1(f836(f836(f225(a899),x97703),f836(f836(f74(a899),f836(f836(f75(a899),f836(f836(f23(a899),x97704),x97701)),x97702)),x97705)))
% 190.77/190.68 [9885]~P1(f836(f836(f224(a899),x98852),x98851))+~P1(f836(f836(f224(a899),f836(f836(f74(a899),f836(f836(f75(a899),x98851),x98853)),x98854)),f836(f836(f74(a899),f836(f836(f75(a899),x98852),x98853)),x98855)))+P1(f836(f836(f224(a899),f836(f836(f74(a899),f836(f836(f75(a899),f836(f836(f23(a899),x98851),x98852)),x98853)),x98854)),x98855))
% 190.77/190.68 [9886]~P1(f836(f836(f224(a899),x98862),x98861))+~P1(f836(f836(f225(a899),f836(f836(f74(a899),f836(f836(f75(a899),x98861),x98863)),x98864)),f836(f836(f74(a899),f836(f836(f75(a899),x98862),x98863)),x98865)))+P1(f836(f836(f225(a899),f836(f836(f74(a899),f836(f836(f75(a899),f836(f836(f23(a899),x98861),x98862)),x98863)),x98864)),x98865))
% 190.77/190.68 [9929]~P1(f836(f836(f224(a899),x99294),x99291))+P1(f836(f836(f224(a899),f836(f836(f74(a899),f836(f836(f75(a899),x99291),x99292)),x99293)),f836(f836(f74(a899),f836(f836(f75(a899),x99294),x99292)),x99295)))+~P1(f836(f836(f224(a899),f836(f836(f74(a899),f836(f836(f75(a899),f836(f836(f23(a899),x99291),x99294)),x99292)),x99293)),x99295))
% 190.77/190.68 [9930]~P1(f836(f836(f224(a899),x99304),x99301))+P1(f836(f836(f225(a899),f836(f836(f74(a899),f836(f836(f75(a899),x99301),x99302)),x99303)),f836(f836(f74(a899),f836(f836(f75(a899),x99304),x99302)),x99305)))+~P1(f836(f836(f225(a899),f836(f836(f74(a899),f836(f836(f75(a899),f836(f836(f23(a899),x99301),x99304)),x99302)),x99303)),x99305))
% 190.77/190.68 [10160]~P11(x101601,x101602,x101605,x101603)+~P1(f836(f836(f318(f905(x101601,x101601)),x101604),x101605))+P1(f836(f836(f247(x101601,x101601,a895),f836(f836(f7(x101601,f906(x101601,x101602),f906(x101601,a895)),f836(f836(f8(f906(x101602,a895),f906(f906(x101601,x101602),f906(x101601,a895)),x101601),f8(x101602,a895,x101601)),f836(f836(f8(x101602,f906(x101602,a895),x101601),a314),x101603))),x101603)),x101604))
% 190.77/190.68 [8542]~P19(x85426,x85421,x85422,x85424)+E(f836(f67(x85421,x85421,x85421,f836(x85422,x85423)),f836(x85424,x85425)),f836(f67(x85421,x85421,x85421,f836(x85424,x85425)),f836(x85422,x85423)))+~P1(f836(f29(x85426),x85425))
% 190.77/190.68 [8979]~P24(x89791,x89793,x89795,x89796)+~P24(x89793,x89792,x89794,f836(f300(x89791,x89793,x89795),x89796))+P24(x89791,x89792,f836(f67(x89793,x89792,x89791,x89794),x89795),x89796)
% 190.77/190.68 [9548]~P1(f836(f836(x95483,x95482),x95486))+~P1(f836(f836(x95484,x95485),x95482))+P1(f836(f836(f318(x95481),x95482),f290(x95481,x95483,x95484,x95485,x95486)))
% 190.77/190.68 [9549]~P1(f836(f836(x95494,x95492),x95496))+~P1(f836(f836(x95493,x95495),x95492))+P1(f836(f836(f318(x95491),x95492),f287(x95491,x95493,x95494,x95495,x95496)))
% 190.77/190.68 [9669]E(x96691,x96692)+E(x96693,x96694)+~P1(f836(f836(f318(f905(f900(x96695),f900(x96695))),f836(f836(f242(f900(x96695),f900(x96695)),f836(f836(f141(x96695),x96693),x96691)),f836(f836(f141(x96695),x96694),x96692))),f147(x96695,x96696)))
% 190.77/190.68 [9678]~E(x96782,x96784)+P1(f836(f836(f318(f905(f900(x96781),f900(x96781))),f836(f836(f242(f900(x96781),f900(x96781)),f836(f836(f141(x96781),x96782),x96783)),f836(f836(f141(x96781),x96784),x96785))),f135(x96781,x96786)))+~P1(f836(f836(f318(f905(f900(x96781),f900(x96781))),f836(f836(f242(f900(x96781),f900(x96781)),x96783),x96785)),f135(x96781,x96786)))
% 190.77/190.68 [9679]~E(x96792,x96794)+P1(f836(f836(f318(f905(f900(x96791),f900(x96791))),f836(f836(f242(f900(x96791),f900(x96791)),f836(f836(f141(x96791),x96792),x96793)),f836(f836(f141(x96791),x96794),x96795))),f137(x96791,x96796)))+~P1(f836(f836(f318(f905(f900(x96791),f900(x96791))),f836(f836(f242(f900(x96791),f900(x96791)),x96793),x96795)),f137(x96791,x96796)))
% 190.77/190.68 [9680]~E(x96802,x96804)+P1(f836(f836(f318(f905(f900(x96801),f900(x96801))),f836(f836(f242(f900(x96801),f900(x96801)),f836(f836(f141(x96801),x96802),x96803)),f836(f836(f141(x96801),x96804),x96805))),f147(x96801,x96806)))+~P1(f836(f836(f318(f905(f900(x96801),f900(x96801))),f836(f836(f242(f900(x96801),f900(x96801)),x96803),x96805)),f147(x96801,x96806)))
% 190.77/190.68 [9681]~E(x96812,x96814)+P1(f836(f836(f318(f905(f900(x96811),f900(x96811))),f836(f836(f242(f900(x96811),f900(x96811)),f836(f836(f124(x96811),x96812),x96813)),f836(f836(f124(x96811),x96814),x96815))),f147(x96811,x96816)))+~P1(f836(f836(f318(f905(f900(x96811),f900(x96811))),f836(f836(f242(f900(x96811),f900(x96811)),x96813),x96815)),f147(x96811,x96816)))
% 190.77/190.68 [9682]~E(x96823,x96825)+P1(f836(f836(f318(f905(f900(x96821),f900(x96821))),f836(f836(f242(f900(x96821),f900(x96821)),f836(f836(f124(x96821),x96822),x96823)),f836(f836(f124(x96821),x96824),x96825))),f147(x96821,x96826)))+~P1(f836(f836(f318(f905(f900(x96821),f900(x96821))),f836(f836(f242(f900(x96821),f900(x96821)),x96822),x96824)),f147(x96821,x96826)))
% 190.77/190.68 [9739]E(x97391,x97392)+P1(f836(f836(f318(f905(f900(x97393),f900(x97393))),f836(f836(f242(f900(x97393),f900(x97393)),x97391),x97392)),f147(x97393,x97394)))+~P1(f836(f836(f318(f905(f900(x97393),f900(x97393))),f836(f836(f242(f900(x97393),f900(x97393)),f836(f836(f141(x97393),x97395),x97391)),f836(f836(f141(x97393),x97396),x97392))),f147(x97393,x97394)))
% 190.77/190.68 [9889]~E(x98893,x98895)+P1(f836(f836(f318(f905(f900(x98891),f900(x98891))),f836(f836(f242(f900(x98891),f900(x98891)),f836(f836(f124(x98891),x98892),f836(f836(f141(x98891),x98893),f103(x98891)))),f836(f836(f124(x98891),x98894),f836(f836(f141(x98891),x98895),f103(x98891))))),f147(x98891,x98896)))+~P1(f836(f836(f318(f905(f900(x98891),f900(x98891))),f836(f836(f242(f900(x98891),f900(x98891)),x98892),x98894)),f147(x98891,x98896)))
% 190.77/190.68 [9933]E(x99331,x99332)+E(x99333,x99334)+~P1(f836(f836(f318(f905(f900(x99335),f900(x99335))),f836(f836(f242(f900(x99335),f900(x99335)),f836(f836(f124(x99335),x99333),f836(f836(f141(x99335),x99331),f103(x99335)))),f836(f836(f124(x99335),x99334),f836(f836(f141(x99335),x99332),f103(x99335))))),f147(x99335,x99336)))
% 190.77/190.68 [9959]E(x99591,x99592)+~P1(f836(f836(f318(f905(f900(x99593),f900(x99593))),f836(f836(f242(f900(x99593),f900(x99593)),f836(f836(f124(x99593),x99591),f836(f836(f141(x99593),x99595),f103(x99593)))),f836(f836(f124(x99593),x99592),f836(f836(f141(x99593),x99596),f103(x99593))))),f147(x99593,x99594)))+P1(f836(f836(f318(f905(f900(x99593),f900(x99593))),f836(f836(f242(f900(x99593),f900(x99593)),x99591),x99592)),f147(x99593,x99594)))
% 190.77/190.68 [9997]~P1(f836(f836(f318(f905(f906(x99971,a895),f906(x99971,a895))),f836(f836(f242(f906(x99971,a895),f906(x99971,a895)),x99972),x99974)),f309(x99971,x99976)))+~P1(f836(f836(f318(f905(f906(x99971,a895),f906(x99971,a895))),f836(f836(f242(f906(x99971,a895),f906(x99971,a895)),x99973),x99975)),f309(x99971,x99976)))+P1(f836(f836(f318(f905(f906(x99971,a895),f906(x99971,a895))),f836(f836(f242(f906(x99971,a895),f906(x99971,a895)),f836(f836(f91(f906(x99971,a895)),x99972),x99973)),f836(f836(f91(f906(x99971,a895)),x99974),x99975))),f309(x99971,x99976)))
% 190.77/190.68 [5733]~E(f836(f836(f124(x57331),x57336),x57333),x57335)+E(f836(f836(f124(x57331),x57332),x57333),f836(f836(f141(x57331),x57334),x57335))+~E(x57332,f836(f836(f141(x57331),x57334),x57336))
% 190.77/190.68 [5734]~E(f836(f836(f124(x57341),x57346),x57343),x57345)+E(f836(f836(f124(x57341),x57342),x57343),f836(f836(f124(x57341),x57344),x57345))+~E(x57342,f836(f836(f124(x57341),x57344),x57346))
% 190.77/190.68 [5736]E(f836(f836(f124(x57361),x57362),x57363),f836(f836(f141(x57361),x57364),x57365))+~E(f836(f836(f141(x57361),x57364),x57366),x57362)+~E(x57365,f836(f836(f124(x57361),x57366),x57363))
% 190.77/190.68 [5738]~E(f836(f836(f124(x57381),x57382),x57386),x57384)+E(f836(f836(f124(x57381),x57382),x57383),f836(f836(f124(x57381),x57384),x57385))+~E(x57383,f836(f836(f124(x57381),x57386),x57385))
% 190.77/190.68 [6918]E(f836(x69181,x69182),f836(x69183,x69182))+~E(f836(f836(f144(x69184,x69185),x69181),x69186),f836(f836(f144(x69184,x69185),x69183),x69186))+~P1(f836(f836(f318(x69184),x69182),f836(f162(x69184),x69186)))
% 190.77/190.68 [7307]~P19(x73074,x73075,x73076,x73071)+E(f836(f836(x73071,x73072),x73073),f836(f836(f59(x73074,x73075,x73076),x73073),x73072))+~P1(f836(f29(x73074),x73072))
% 190.77/190.68 [7378]~E(x73782,f836(x73784,x73786))+~P1(f836(f836(f318(x73783),x73786),x73785))+P1(f836(f836(f318(x73781),x73782),f836(f300(x73783,x73781,x73784),x73785)))
% 190.77/190.68 [7379]~E(f836(x73794,x73792),x73796)+~P1(f836(f836(f318(x73793),x73796),x73795))+P1(f836(f836(f318(x73791),x73792),f836(f301(x73791,x73793,x73794),x73795)))
% 190.77/190.68 [7831]~P31(x78311,x78312,x78314,x78316)+P31(x78311,x78312,f836(f836(f141(x78311),x78313),x78314),f836(f836(f141(x78311),x78315),x78316))+~P1(f836(f836(x78312,x78313),x78315))
% 190.77/190.68 [8845]~P56(x88454,x88455,x88451,x88452,x88456)+E(f836(x88451,f836(x88452,x88453)),x88453)+~P1(f836(f836(f318(x88455),x88453),x88456))
% 190.77/190.68 [9345]~P25(x93452,x93451,x93455,x93454,x93453)+E(f836(f85(x93451,x93452,x93453,f85(x93452,x93451,x93454,x93455)),x93456),f836(x93455,x93456))+~P1(f836(f836(f318(x93452),x93456),x93454))
% 190.77/190.68 [9356]~P24(x93561,x93562,x93563,x93566)+P24(x93561,x93562,f69(x93561,x93562,x93563,x93564,x93565),x93566)+P1(f836(f836(f318(x93562),x93565),f836(f300(x93561,x93562,x93563),x93566)))
% 190.77/190.68 [9671]E(x96711,x96712)+E(f836(f179(f900(x96713)),x96714),f836(f179(f900(x96713)),x96715))+~P1(f836(f836(f318(f905(f900(x96713),f900(x96713))),f836(f836(f242(f900(x96713),f900(x96713)),f836(f836(f141(x96713),x96711),x96714)),f836(f836(f141(x96713),x96712),x96715))),f135(x96713,x96716)))
% 190.77/190.68 [9734]~P16(x97341,x97342,x97343)+E(f836(f836(f59(x97341,x97342,x97343),x97344),x97345),x97346)+~P1(f836(f61(x97341,x97342,x97343,x97344,x97345),x97346))
% 190.77/190.68 [9742]E(f836(f179(f900(x97421)),x97422),f836(f179(f900(x97421)),x97423))+P1(f836(f836(f318(f905(f900(x97421),f900(x97421))),f836(f836(f242(f900(x97421),f900(x97421)),x97422),x97423)),f135(x97421,x97424)))+~P1(f836(f836(f318(f905(f900(x97421),f900(x97421))),f836(f836(f242(f900(x97421),f900(x97421)),f836(f836(f141(x97421),x97425),x97422)),f836(f836(f141(x97421),x97426),x97423))),f135(x97421,x97424)))
% 190.77/190.68 [9763]~P1(f836(f836(f318(f905(x97631,x97631)),f836(f836(f242(x97631,x97631),x97632),x97634)),f297(x97631,x97636)))+P1(f836(f836(f318(f905(f900(x97631),f900(x97631))),f836(f836(f242(f900(x97631),f900(x97631)),f836(f836(f141(x97631),x97632),x97633)),f836(f836(f141(x97631),x97634),x97635))),f297(f900(x97631),f147(x97631,x97636))))+~P1(f836(f836(f318(f905(f900(x97631),f900(x97631))),f836(f836(f242(f900(x97631),f900(x97631)),x97633),x97635)),f297(f900(x97631),f147(x97631,x97636))))
% 190.77/190.68 [9939]~P1(f836(x99392,x99396))+~E(f836(f126(x99391,x99392),x99393),f836(f836(f141(x99391),x99394),x99395))+~P1(f836(f836(f318(x99391),x99396),f836(f162(x99391),f721(x99395,x99394,x99393,x99392,x99391))))
% 190.77/190.68 [9940]~P1(f836(x99404,x99406))+~E(f836(f836(f141(x99401),x99402),x99403),f836(f126(x99401,x99404),x99405))+~P1(f836(f836(f318(x99401),x99406),f836(f162(x99401),f723(x99405,x99404,x99403,x99402,x99401))))
% 190.77/190.68 [10257]~P73(x102572)+E(f836(f836(f6(x102571,x102572),f836(f836(f8(f906(x102573,a895),x102572,x102571),f836(f6(x102573,x102572),x102574)),f836(f836(f8(f906(x102573,a895),f906(x102573,a895),x102571),f252(x102573)),f836(f836(f8(f906(x102573,a895),f906(x102573,a895),x102571),f836(f18(x102573,a895,a895),f836(f836(f8(a895,f906(a895,a895),x102573),a315),f836(f836(f7(x102573,f906(x102573,a895),a895),f318(x102573)),x102575)))),f836(f7(x102573,x102571,a895),f836(f836(f8(x102571,f906(x102571,a895),x102573),a314),x102576)))))),f836(f300(x102573,x102571,x102576),x102575)),f836(f836(f6(x102573,x102572),x102574),x102575))+~P1(f836(f29(x102573),x102575))
% 190.77/190.68 [6976]~P108(x69763)+P1(f836(x69762,x69765))+E(f836(f126(x69761,x69762),f836(f836(f138(x69761,x69763,x69764),x69765),x69766)),f836(f126(x69761,x69762),x69766))
% 190.77/190.68 [6978]P1(f836(x69781,x69782))+~E(f156(x69783,x69781,x69784),f836(f836(f242(f900(x69783),f900(x69783)),x69785),x69786))+~P1(f836(f836(f318(x69783),x69782),f836(f162(x69783),x69785)))
% 190.77/190.68 [7025]~P1(f836(x70252,x70256))+~E(f156(x70251,x70252,x70253),f836(f836(f242(f900(x70251),f900(x70251)),x70254),x70255))+~P1(f836(f836(f318(x70251),x70256),f836(f162(x70251),x70255)))
% 190.77/190.68 [7693]~P14(x76931,x76932,x76933)+~P1(f836(f29(x76931),x76936))+E(f836(f836(f59(x76931,x76932,x76933),x76934),f836(f836(f299(x76931),x76935),x76936)),f836(f836(f59(x76931,x76932,x76933),f836(f836(x76933,x76935),x76934)),x76936))
% 190.77/190.68 [7746]~P108(x77462)+~P1(f836(f836(f224(x77462),f836(x77463,x77464)),f836(x77463,x77465)))+E(f836(f836(f138(x77461,x77462,x77463),x77464),f836(f836(f141(x77461),x77465),x77466)),f836(f836(f141(x77461),x77464),f836(f836(f141(x77461),x77465),x77466)))
% 190.77/190.68 [7859]E(x78591,x78592)+~E(f836(f836(f244(x78593,x78594),x78591),f836(f16(f906(x78594,a895),x78593),x78595)),f836(f836(f244(x78593,x78594),x78592),f836(f16(f906(x78594,a895),x78593),x78595)))+~P1(f836(f836(f318(x78594),x78596),x78595))
% 190.77/190.68 [7926]~P14(x79261,x79262,x79263)+~P1(f836(f29(x79261),x79266))+E(f836(f836(f59(x79261,x79262,x79263),x79264),f836(f836(f299(x79261),x79265),x79266)),f836(f836(x79263,x79265),f836(f836(f59(x79261,x79262,x79263),x79264),x79266)))
% 190.77/190.68 [8044]~P16(x80441,x80442,x80443)+~P1(f836(f29(x80441),x80446))+E(f836(f836(f59(x80441,x80442,x80443),f836(f836(x80443,x80444),x80445)),x80446),f836(f836(x80443,x80444),f836(f836(f59(x80441,x80442,x80443),x80445),x80446)))
% 190.77/190.68 [8112]~P20(x81122,x81125,x81126,x81121)+~P1(f836(f29(x81122),x81124))+E(f836(x81121,f836(f836(f299(x81122),x81123),x81124)),f836(f67(x81125,x81125,x81125,f836(x81121,x81124)),f836(x81126,x81123)))
% 190.77/190.68 [8144]~P108(x81442)+P1(f836(f836(f224(x81442),f836(x81443,x81444)),f836(x81443,x81445)))+E(f836(f836(f138(x81441,x81442,x81443),x81444),f836(f836(f141(x81441),x81445),x81446)),f836(f836(f141(x81441),x81445),f836(f836(f138(x81441,x81442,x81443),x81444),x81446)))
% 190.77/190.68 [8287]~E(f836(f179(f900(x82871)),x82875),f836(f179(f900(x82872)),x82876))+~E(f836(f179(f900(x82871)),x82873),f836(f179(f900(x82872)),x82874))+E(f836(f836(f124(f905(x82871,x82872)),f836(f836(f171(x82871,x82872),x82873),x82874)),f836(f836(f171(x82871,x82872),x82875),x82876)),f836(f836(f171(x82871,x82872),f836(f836(f124(x82871),x82873),x82875)),f836(f836(f124(x82872),x82874),x82876)))
% 190.77/190.68 [8399]~E(x83992,f836(f300(x83993,x83991,x83994),x83996))+P1(f836(f836(f224(f906(x83991,a895)),x83992),f836(f300(x83993,x83991,x83994),x83995)))+~P1(f836(f836(f224(f906(x83993,a895)),x83996),x83995))
% 190.77/190.68 [8501]~P108(x85015)+E(f836(x85011,x85012),f836(x85011,x85013))+E(f836(f836(f138(x85014,x85015,x85011),x85012),f836(f836(f138(x85014,x85015,x85011),x85013),x85016)),f836(f836(f138(x85014,x85015,x85011),x85013),f836(f836(f138(x85014,x85015,x85011),x85012),x85016)))
% 190.77/190.68 [8675]~P1(f836(f836(f318(x86752),x86754),f836(x86756,x86753)))+~P1(f836(f836(f318(x86751),x86753),x86755))+P1(f836(f836(f318(f905(x86751,x86752)),f836(f836(f242(x86751,x86752),x86753),x86754)),f836(f836(f244(x86751,x86752),x86755),x86756)))
% 190.77/190.68 [9150]~P74(x91502)+~P24(x91504,x91501,x91505,x91506)+E(f836(f836(f9(x91501,x91502),x91503),f836(f300(x91504,x91501,x91505),x91506)),f836(f836(f9(x91504,x91502),f836(f67(x91501,x91502,x91504,x91503),x91505)),x91506))
% 190.77/190.68 [9151]~P73(x91512)+~P24(x91514,x91511,x91515,x91516)+E(f836(f836(f6(x91511,x91512),x91513),f836(f300(x91514,x91511,x91515),x91516)),f836(f836(f6(x91514,x91512),f836(f67(x91511,x91512,x91514,x91513),x91515)),x91516))
% 190.77/190.68 [9198]~P33(x91982,x91985,x91981,x91983,x91986)+P1(f836(f836(x91981,f836(f836(f154(x91982),x91983),x91984)),f836(f836(f154(x91985),x91986),x91984)))+~P1(f836(f836(f225(a899),x91984),f836(f179(f900(x91985)),x91986)))
% 190.77/190.68 [9199]~P33(x91992,x91995,x91991,x91993,x91996)+P1(f836(f836(x91991,f836(f836(f154(x91992),x91993),x91994)),f836(f836(f154(x91995),x91996),x91994)))+~P1(f836(f836(f225(a899),x91994),f836(f179(f900(x91992)),x91993)))
% 190.77/190.68 [9210]~E(f836(f300(x92101,x92102,x92103),x92104),x92106)+E(f836(f300(x92101,x92102,x92103),f836(f300(x92102,x92101,f85(x92101,x92102,x92104,x92103)),x92105)),x92105)+~P1(f836(f836(f224(f906(x92102,a895)),x92105),x92106))
% 190.77/190.68 [9416]~P19(x94163,x94161,x94166,x94162)+~P1(f836(f29(x94163),x94164))+E(f836(f67(x94161,x94161,x94161,f836(x94162,f836(f836(f23(f906(x94163,a895)),x94164),f836(f836(f299(x94163),x94165),f178(f906(x94163,a895)))))),f836(x94166,x94165)),f836(x94162,f836(f836(f299(x94163),x94165),x94164)))
% 190.77/190.68 [10026]~E(f836(f300(x100262,x100264,x100266),f232(f906(x100262,a895))),f232(f906(x100264,a895)))+~E(f836(f300(x100261,x100263,x100265),f232(f906(x100261,a895))),f232(f906(x100263,a895)))+E(f836(f300(f905(x100261,x100262),f905(x100263,x100264),f248(x100261,x100263,x100262,x100264,x100265,x100266)),f232(f906(f905(x100261,x100262),a895))),f232(f906(f905(x100263,x100264),a895)))
% 190.77/190.68 [10083]~P24(x100833,x100834,x100835,f836(x100836,f605(x100836,x100835,x100834,x100833,x100832,x100831)))+P24(x100833,x100834,x100835,f836(f836(f36(x100832,f906(x100833,a895)),x100831),x100836))+E(x100831,f178(f906(x100832,a895)))
% 190.77/190.68 [10140]P24(x101406,x101405,x101404,f836(f836(f36(x101402,f906(x101406,a895)),x101401),x101403))+E(x101401,f178(f906(x101402,a895)))+P1(f836(f836(f318(x101402),f605(x101403,x101404,x101405,x101406,x101402,x101401)),x101401))
% 190.77/190.68 [10145]P1(f836(f836(f318(x101451),f539(x101452,x101453,x101454,x101455,x101456,x101451)),x101456))+P1(f836(f836(f224(f906(f905(x101451,x101454),a895)),f836(f836(f244(x101451,x101454),x101456),x101453)),f836(f836(f244(x101451,x101454),x101455),x101452)))+~P1(f836(f836(f224(f906(x101451,a895)),x101456),x101455))
% 190.77/190.68 [10275]~P1(f836(f836(f224(f906(x102752,a895)),f836(x102754,f539(x102756,x102754,x102752,x102755,x102753,x102751))),f836(x102756,f539(x102756,x102754,x102752,x102755,x102753,x102751))))+~P1(f836(f836(f224(f906(x102751,a895)),x102753),x102755))+P1(f836(f836(f224(f906(f905(x102751,x102752),a895)),f836(f836(f244(x102751,x102752),x102753),x102754)),f836(f836(f244(x102751,x102752),x102755),x102756)))
% 190.77/190.68 [7882]~P1(f836(x78821,x78825))+~P1(f836(x78826,x78824))+P1(f836(x78821,f836(f246(x78822,x78823),f836(f836(f242(x78822,x78823),x78824),x78825))))
% 190.77/190.68 [7883]~P1(f836(x78831,x78834))+~P1(f836(x78836,x78835))+P1(f836(x78831,f836(f241(x78832,x78833),f836(f836(f242(x78832,x78833),x78834),x78835))))
% 190.77/190.68 [7931]~P1(f836(f836(x79314,x79316),x79315))+~P1(f836(f836(f318(x79311),x79316),x79313))+P1(f836(f836(f836(f35(x79311,f906(x79312,a895)),x79313),x79314),x79315))
% 190.77/190.68 [8237]~P1(f836(f836(f318(x82371),x82372),f836(x82375,x82376)))+~P1(f836(f836(f318(x82373),x82376),x82374))+P1(f836(f836(f318(x82371),x82372),f836(f836(f35(x82373,f906(x82371,a895)),x82374),x82375)))
% 190.77/190.68 [8281]P1(f836(f836(x82811,x82812),x82813))+~P1(f836(f836(x82814,x82812),x82813))+~P1(f836(f836(f224(f906(x82815,f906(x82816,a895))),x82814),x82811))
% 190.77/190.68 [8422]P1(f836(f836(x84221,x84222),x84223))+~P1(f836(f836(f318(x84224),x84222),x84225))+~P1(f836(f836(f836(f36(x84224,f906(x84226,a895)),x84225),x84221),x84223))
% 190.77/190.68 [8557]P1(f836(f836(f318(x85571),x85572),f836(x85573,x85574)))+~P1(f836(f836(f318(x85575),x85574),x85576))+~P1(f836(f836(f318(x85571),x85572),f836(f836(f36(x85575,f906(x85571,a895)),x85576),x85573)))
% 190.77/190.68 [8824]~P11(x88244,x88245,x88246,x88241)+E(f836(x88241,x88242),f836(x88241,x88243))+~P1(f836(f836(f318(f905(x88244,x88244)),f836(f836(f242(x88244,x88244),x88242),x88243)),x88246))
% 190.77/190.68 [8859]P1(f836(f836(f224(f906(x88591,a895)),x88592),f836(x88593,x88594)))+~P1(f836(f836(f318(x88595),x88594),x88596))+~P1(f836(f836(f224(f906(x88591,a895)),x88592),f836(f836(f36(x88595,f906(x88591,a895)),x88596),x88593)))
% 190.77/190.68 [8892]~P54(x88923,x88924,f836(f276(x88924,x88923),x88925))+E(x88921,f178(f906(x88922,a895)))+E(f836(f836(f36(x88922,f906(x88923,a895)),x88921),f836(f836(f8(f906(x88924,a895),f906(x88923,a895),x88922),f275(x88924,x88923,x88925)),x88926)),f836(f275(x88924,x88923,x88925),f836(f836(f36(x88922,f906(x88924,a895)),x88921),x88926)))
% 190.77/190.68 [8970]P1(f836(f836(f318(x89701),x89702),f836(f275(x89703,x89701,x89704),x89705)))+~P1(f836(f836(f318(x89703),x89706),x89705))+~P1(f836(f836(f318(f905(x89703,x89701)),f836(f836(f242(x89703,x89701),x89706),x89702)),x89704))
% 190.77/190.68 [9275]P1(f836(f836(f224(f906(x92751,a895)),f836(f275(x92752,x92751,x92753),x92754)),f836(f275(x92752,x92751,x92755),x92756)))+~P1(f836(f836(f224(f906(x92752,a895)),x92754),x92756))+~P1(f836(f836(f224(f906(f905(x92752,x92751),a895)),x92753),x92755))
% 190.77/190.68 [9465]~P1(f836(f836(f318(x94652),x94656),x94654))+~P1(f836(f836(f224(f906(x94651,a895)),x94653),x94655))+P1(f836(f836(f224(f906(f905(x94651,x94652),a895)),f836(f836(f244(x94651,x94652),x94653),f836(f16(f906(x94652,a895),x94651),x94654))),f836(f836(f244(x94651,x94652),x94655),f836(f16(f906(x94652,a895),x94651),x94654))))
% 190.77/190.68 [9477]~P33(x94771,x94772,x94773,x94775,x94776)+P1(f836(f836(f247(x94771,x94772,a895),x94773),x94774))+~P1(f836(f836(f318(f905(x94771,x94772)),x94774),f836(f162(f905(x94771,x94772)),f836(f836(f171(x94771,x94772),x94775),x94776))))
% 190.77/190.68 [9625]~E(x96253,x96255)+P1(f836(f836(f318(f905(f900(x96251),f900(x96251))),f836(f836(f242(f900(x96251),f900(x96251)),f836(f836(f141(x96251),x96252),x96253)),f836(f836(f141(x96251),x96254),x96255))),f147(x96251,x96256)))+~P1(f836(f836(f318(f905(x96251,x96251)),f836(f836(f242(x96251,x96251),x96252),x96254)),x96256))
% 190.77/190.68 [9631]~E(f836(f179(f900(x96311)),x96313),f836(f179(f900(x96311)),x96315))+P1(f836(f836(f318(f905(f900(x96311),f900(x96311))),f836(f836(f242(f900(x96311),f900(x96311)),f836(f836(f141(x96311),x96312),x96313)),f836(f836(f141(x96311),x96314),x96315))),f135(x96311,x96316)))+~P1(f836(f836(f318(f905(x96311,x96311)),f836(f836(f242(x96311,x96311),x96312),x96314)),x96316))
% 190.77/190.68 [9663]P1(f836(f836(f318(f905(x96631,x96631)),f836(f836(f242(x96631,x96631),x96632),x96633)),f836(f836(f173(f905(x96631,x96631),a895),f836(a102,x96634)),x96635)))+~P1(f836(f836(f318(f905(x96631,x96631)),f836(f836(f242(x96631,x96631),x96636),x96633)),x96635))+~P1(f836(f836(f318(f905(x96631,x96631)),f836(f836(f242(x96631,x96631),x96632),x96636)),f836(f836(f173(f905(x96631,x96631),a895),x96634),x96635)))
% 190.77/190.68 [9664]P1(f836(f836(f318(f905(x96641,x96641)),f836(f836(f242(x96641,x96641),x96642),x96643)),f836(f836(f173(f905(x96641,x96641),a895),f836(a102,x96644)),x96645)))+~P1(f836(f836(f318(f905(x96641,x96641)),f836(f836(f242(x96641,x96641),x96642),x96646)),x96645))+~P1(f836(f836(f318(f905(x96641,x96641)),f836(f836(f242(x96641,x96641),x96646),x96643)),f836(f836(f173(f905(x96641,x96641),a895),x96644),x96645)))
% 190.77/190.68 [9667]~P1(f836(f836(f318(x96674),x96675),x96676))+P1(f836(f836(f224(f906(x96671,a895)),x96672),x96673))+~P1(f836(f836(f224(f906(f905(x96671,x96674),a895)),f836(f836(f244(x96671,x96674),x96672),f836(f16(f906(x96674,a895),x96671),x96676))),f836(f836(f244(x96671,x96674),x96673),f836(f16(f906(x96674,a895),x96671),x96676))))
% 190.77/190.68 [9712]E(x97121,x97122)+~P1(f836(f836(f318(f905(f900(x97123),f900(x97123))),f836(f836(f242(f900(x97123),f900(x97123)),f836(f836(f141(x97123),x97121),x97125)),f836(f836(f141(x97123),x97122),x97126))),f135(x97123,x97124)))+P1(f836(f836(f318(f905(x97123,x97123)),f836(f836(f242(x97123,x97123),x97121),x97122)),x97124))
% 190.77/190.68 [9713]E(x97131,x97132)+~P1(f836(f836(f318(f905(f900(x97133),f900(x97133))),f836(f836(f242(f900(x97133),f900(x97133)),f836(f836(f141(x97133),x97131),x97135)),f836(f836(f141(x97133),x97132),x97136))),f137(x97133,x97134)))+P1(f836(f836(f318(f905(x97133,x97133)),f836(f836(f242(x97133,x97133),x97131),x97132)),x97134))
% 190.77/190.68 [9714]E(x97141,x97142)+~P1(f836(f836(f318(f905(f900(x97143),f900(x97143))),f836(f836(f242(f900(x97143),f900(x97143)),f836(f836(f141(x97143),x97141),x97145)),f836(f836(f141(x97143),x97142),x97146))),f147(x97143,x97144)))+P1(f836(f836(f318(f905(x97143,x97143)),f836(f836(f242(x97143,x97143),x97141),x97142)),x97144))
% 190.77/190.68 [9750]P1(f836(f836(f318(f905(f900(x97501),f900(x97501))),f836(f836(f242(f900(x97501),f900(x97501)),f836(f836(f141(x97501),x97502),x97503)),f836(f836(f141(x97501),x97504),x97505))),f148(x97501,x97506)))+~P1(f836(f836(f318(f905(f900(x97501),f900(x97501))),f836(f836(f242(f900(x97501),f900(x97501)),x97503),x97505)),f148(x97501,x97506)))+~P1(f836(f836(f318(f905(x97501,x97501)),f836(f836(f242(x97501,x97501),x97502),x97504)),x97506))
% 190.77/190.68 [9767]P1(f836(x97671,x97672))+~P1(f836(x97671,f427(x97671,x97673,x97674,x97675,x97676)))+~P1(f836(f836(f318(x97676),x97672),f836(f836(f35(x97675,f906(x97676,a895)),x97674),x97673)))
% 190.77/190.68 [9772]~P1(f836(f836(f318(f905(f900(x97721),f900(x97721))),f836(f836(f242(f900(x97721),f900(x97721)),f836(f836(f141(x97721),x97722),x97725)),f836(f836(f141(x97721),x97723),x97726))),f135(x97721,x97724)))+P1(f836(f836(f318(f905(f900(x97721),f900(x97721))),f836(f836(f242(f900(x97721),f900(x97721)),x97725),x97726)),f135(x97721,x97724)))+P1(f836(f836(f318(f905(x97721,x97721)),f836(f836(f242(x97721,x97721),x97722),x97723)),x97724))
% 190.77/190.68 [9773]~P1(f836(f836(f318(f905(f900(x97731),f900(x97731))),f836(f836(f242(f900(x97731),f900(x97731)),f836(f836(f141(x97731),x97732),x97735)),f836(f836(f141(x97731),x97733),x97736))),f137(x97731,x97734)))+P1(f836(f836(f318(f905(f900(x97731),f900(x97731))),f836(f836(f242(f900(x97731),f900(x97731)),x97735),x97736)),f137(x97731,x97734)))+P1(f836(f836(f318(f905(x97731,x97731)),f836(f836(f242(x97731,x97731),x97732),x97733)),x97734))
% 190.77/190.68 [9774]~P1(f836(f836(f318(f905(f900(x97741),f900(x97741))),f836(f836(f242(f900(x97741),f900(x97741)),f836(f836(f141(x97741),x97742),x97745)),f836(f836(f141(x97741),x97743),x97746))),f147(x97741,x97744)))+P1(f836(f836(f318(f905(f900(x97741),f900(x97741))),f836(f836(f242(f900(x97741),f900(x97741)),x97745),x97746)),f147(x97741,x97744)))+P1(f836(f836(f318(f905(x97741,x97741)),f836(f836(f242(x97741,x97741),x97742),x97743)),x97744))
% 190.77/190.68 [9862]P1(f836(x98621,x98622))+P1(f836(f836(f318(x98623),f428(x98621,x98624,x98625,x98623,x98626)),x98625))+~P1(f836(f836(f318(x98626),x98622),f836(f836(f35(x98623,f906(x98626,a895)),x98625),x98624)))
% 190.77/190.68 [9873]~E(x98732,x98734)+P1(f836(f836(f318(f905(f900(x98731),f900(x98731))),f836(f836(f242(f900(x98731),f900(x98731)),f836(f836(f124(x98731),x98732),f836(f836(f141(x98731),x98733),f103(x98731)))),f836(f836(f124(x98731),x98734),f836(f836(f141(x98731),x98735),f103(x98731))))),f147(x98731,x98736)))+~P1(f836(f836(f318(f905(x98731,x98731)),f836(f836(f242(x98731,x98731),x98733),x98735)),x98736))
% 190.77/190.68 [9947]E(x99471,x99472)+~P1(f836(f836(f318(f905(f900(x99473),f900(x99473))),f836(f836(f242(f900(x99473),f900(x99473)),f836(f836(f124(x99473),x99475),f836(f836(f141(x99473),x99471),f103(x99473)))),f836(f836(f124(x99473),x99476),f836(f836(f141(x99473),x99472),f103(x99473))))),f147(x99473,x99474)))+P1(f836(f836(f318(f905(x99473,x99473)),f836(f836(f242(x99473,x99473),x99471),x99472)),x99474))
% 190.77/190.68 [9978]~P1(f836(f836(f318(f905(f900(x99781),f900(x99781))),f836(f836(f242(f900(x99781),f900(x99781)),f836(f836(f124(x99781),x99785),f836(f836(f141(x99781),x99782),f103(x99781)))),f836(f836(f124(x99781),x99786),f836(f836(f141(x99781),x99783),f103(x99781))))),f147(x99781,x99784)))+P1(f836(f836(f318(f905(f900(x99781),f900(x99781))),f836(f836(f242(f900(x99781),f900(x99781)),x99785),x99786)),f147(x99781,x99784)))+P1(f836(f836(f318(f905(x99781,x99781)),f836(f836(f242(x99781,x99781),x99782),x99783)),x99784))
% 190.77/190.68 [9998]P1(f836(x99981,x99982))+P1(f836(f836(f318(x99983),f427(x99981,x99984,x99985,x99986,x99983)),f836(x99984,f428(x99981,x99984,x99985,x99986,x99983))))+~P1(f836(f836(f318(x99983),x99982),f836(f836(f35(x99986,f906(x99983,a895)),x99985),x99984)))
% 190.77/190.68 [10149]P1(f836(f836(f318(x101491),f813(x101492,x101493,x101494,x101495,x101496,x101491)),x101495))+~P1(f836(f836(f224(f906(x101491,a895)),x101496),x101495))+P1(f836(f836(f224(f906(x101494,a895)),f836(f836(f36(x101491,f906(x101494,a895)),x101495),x101493)),f836(f836(f36(x101491,f906(x101494,a895)),x101495),x101492)))
% 190.77/190.68 [10276]~P1(f836(f836(f224(f906(x102761,a895)),f836(x102764,f813(x102765,x102764,x102761,x102763,x102766,x102762))),f836(x102765,f813(x102765,x102764,x102761,x102763,x102766,x102762))))+~P1(f836(f836(f224(f906(x102762,a895)),x102766),x102763))+P1(f836(f836(f224(f906(x102761,a895)),f836(f836(f36(x102762,f906(x102761,a895)),x102763),x102764)),f836(f836(f36(x102762,f906(x102761,a895)),x102763),x102765)))
% 190.77/190.68 [8990]~P16(x89903,x89904,x89901)+~P1(f836(f29(x89903),x89906))+E(f836(f836(x89901,x89902),f836(f836(f59(x89903,x89904,x89901),x89905),f836(f836(f23(f906(x89903,a895)),x89906),f836(f836(f299(x89903),x89902),f178(f906(x89903,a895)))))),f836(f836(f59(x89903,x89904,x89901),x89905),f836(f836(f299(x89903),x89902),x89906)))
% 190.77/190.68 [9284]~P1(f836(f836(f318(x92845),x92843),x92846))+P1(f836(f836(f224(f906(x92841,a895)),f836(x92842,x92843)),x92844))+~P1(f836(f836(f224(f906(x92841,a895)),f836(f836(f35(x92845,f906(x92841,a895)),x92846),x92842)),x92844))
% 190.77/190.68 [9922]~P8(x99221,x99225,x99224)+P1(f836(f836(f318(f905(x99221,x99221)),f836(f836(f242(x99221,x99221),x99222),x99223)),x99224))+~P1(f836(f836(f318(x99221),x99226),f836(f836(f92(f906(x99221,a895)),f836(f275(x99221,x99221,x99224),f836(f836(f299(x99221),x99222),f178(f906(x99221,a895))))),f836(f275(x99221,x99221,x99224),f836(f836(f299(x99221),x99223),f178(f906(x99221,a895)))))))
% 190.77/190.68 [8712]~P132(x87122)+~E(f836(f836(f74(x87122),f836(f836(f75(x87122),x87124),x87125)),x87121),f836(f836(f74(x87122),f836(f836(f75(x87122),x87123),x87125)),x87126))+E(x87121,f836(f836(f74(x87122),f836(f836(f75(x87122),f836(f836(f23(x87122),x87123),x87124)),x87125)),x87126))
% 190.77/190.68 [8713]~P132(x87131)+~E(f836(f836(f74(x87131),f836(f836(f75(x87131),x87132),x87134)),x87135),f836(f836(f74(x87131),f836(f836(f75(x87131),x87133),x87134)),x87136))+E(f836(f836(f74(x87131),f836(f836(f75(x87131),f836(f836(f23(x87131),x87132),x87133)),x87134)),x87135),x87136)
% 190.77/190.68 [8895]~P132(x88951)+E(f836(f836(f74(x88951),f836(f836(f75(x88951),x88952),x88953)),x88954),f836(f836(f74(x88951),f836(f836(f75(x88951),x88955),x88953)),x88956))+~E(x88956,f836(f836(f74(x88951),f836(f836(f75(x88951),f836(f836(f23(x88951),x88952),x88955)),x88953)),x88954))
% 190.77/190.68 [8896]~P132(x88961)+E(f836(f836(f74(x88961),f836(f836(f75(x88961),x88962),x88963)),x88964),f836(f836(f74(x88961),f836(f836(f75(x88961),x88965),x88963)),x88966))+~E(f836(f836(f74(x88961),f836(f836(f75(x88961),f836(f836(f23(x88961),x88962),x88965)),x88963)),x88964),x88966)
% 190.77/190.68 [9221]~P1(f836(f836(x92214,x92215),x92216))+~P1(f836(f836(x92213,x92215),x92216))+P1(f836(f836(f836(f836(f92(f906(x92211,f906(x92212,a895))),x92213),x92214),x92215),x92216))
% 190.77/190.68 [9486]P1(f836(f836(x94861,x94862),x94863))+P1(f836(f836(x94864,x94862),x94863))+~P1(f836(f836(f836(f836(f91(f906(x94865,f906(x94866,a895))),x94864),x94861),x94862),x94863))
% 190.77/190.68 [9787]~P137(x97871)+~P1(f836(f836(f224(x97871),f836(f836(f74(x97871),f836(f836(f75(x97871),x97874),x97875)),x97872)),f836(f836(f74(x97871),f836(f836(f75(x97871),x97873),x97875)),x97876)))+P1(f836(f836(f224(x97871),x97872),f836(f836(f74(x97871),f836(f836(f75(x97871),f836(f836(f23(x97871),x97873),x97874)),x97875)),x97876)))
% 190.77/190.68 [9788]~P137(x97881)+~P1(f836(f836(f225(x97881),f836(f836(f74(x97881),f836(f836(f75(x97881),x97884),x97885)),x97882)),f836(f836(f74(x97881),f836(f836(f75(x97881),x97883),x97885)),x97886)))+P1(f836(f836(f225(x97881),x97882),f836(f836(f74(x97881),f836(f836(f75(x97881),f836(f836(f23(x97881),x97883),x97884)),x97885)),x97886)))
% 190.77/190.68 [9811]~P137(x98111)+P1(f836(f836(f224(x98111),f836(f836(f74(x98111),f836(f836(f75(x98111),x98112),x98113)),x98114)),f836(f836(f74(x98111),f836(f836(f75(x98111),x98115),x98113)),x98116)))+~P1(f836(f836(f224(x98111),x98114),f836(f836(f74(x98111),f836(f836(f75(x98111),f836(f836(f23(x98111),x98115),x98112)),x98113)),x98116)))
% 190.77/190.68 [9812]~P137(x98121)+P1(f836(f836(f225(x98121),f836(f836(f74(x98121),f836(f836(f75(x98121),x98122),x98123)),x98124)),f836(f836(f74(x98121),f836(f836(f75(x98121),x98125),x98123)),x98126)))+~P1(f836(f836(f225(x98121),x98124),f836(f836(f74(x98121),f836(f836(f75(x98121),f836(f836(f23(x98121),x98125),x98122)),x98123)),x98126)))
% 190.77/190.68 [9914]~P137(x99141)+~P1(f836(f836(f224(x99141),f836(f836(f74(x99141),f836(f836(f75(x99141),x99142),x99144)),x99145)),f836(f836(f74(x99141),f836(f836(f75(x99141),x99143),x99144)),x99146)))+P1(f836(f836(f224(x99141),f836(f836(f74(x99141),f836(f836(f75(x99141),f836(f836(f23(x99141),x99142),x99143)),x99144)),x99145)),x99146))
% 190.77/190.68 [9915]~P137(x99151)+~P1(f836(f836(f225(x99151),f836(f836(f74(x99151),f836(f836(f75(x99151),x99152),x99154)),x99155)),f836(f836(f74(x99151),f836(f836(f75(x99151),x99153),x99154)),x99156)))+P1(f836(f836(f225(x99151),f836(f836(f74(x99151),f836(f836(f75(x99151),f836(f836(f23(x99151),x99152),x99153)),x99154)),x99155)),x99156))
% 190.77/190.68 [9961]~P137(x99611)+P1(f836(f836(f224(x99611),f836(f836(f74(x99611),f836(f836(f75(x99611),x99612),x99613)),x99614)),f836(f836(f74(x99611),f836(f836(f75(x99611),x99615),x99613)),x99616)))+~P1(f836(f836(f224(x99611),f836(f836(f74(x99611),f836(f836(f75(x99611),f836(f836(f23(x99611),x99612),x99615)),x99613)),x99614)),x99616))
% 190.77/190.68 [9962]~P137(x99621)+P1(f836(f836(f225(x99621),f836(f836(f74(x99621),f836(f836(f75(x99621),x99622),x99623)),x99624)),f836(f836(f74(x99621),f836(f836(f75(x99621),x99625),x99623)),x99626)))+~P1(f836(f836(f225(x99621),f836(f836(f74(x99621),f836(f836(f75(x99621),f836(f836(f23(x99621),x99622),x99625)),x99623)),x99624)),x99626))
% 190.77/190.68 [10134]~P73(x101342)+~P1(f836(f29(x101341),x101346))+E(f836(f836(f6(x101341,x101342),f836(f836(f18(x101341,x101342,x101342),f836(f836(f18(x101341,x101342,f906(x101342,x101342)),f836(f836(f8(a895,f906(x101342,f906(x101342,x101342)),x101341),f86(x101342)),x101343)),x101344)),x101345)),x101346),f836(f836(f74(x101342),f836(f836(f6(x101341,x101342),x101344),f836(f836(f92(f906(x101341,a895)),x101346),f836(f252(x101341),x101343)))),f836(f836(f6(x101341,x101342),x101345),f836(f836(f92(f906(x101341,a895)),x101346),f836(f73(f906(x101341,a895)),f836(f252(x101341),x101343))))))
% 190.77/190.68 [10195]P1(f836(f836(f318(x101952),x101954),x101956))+P1(f836(f836(f318(x101952),x101955),x101956))+E(f836(f301(x101951,x101952,f836(f836(f7(x101951,x101952,x101952),f836(f836(f7(x101951,x101952,f906(x101952,x101952)),f836(f836(f8(a895,f906(x101952,f906(x101952,x101952)),x101951),f86(x101952)),f836(f836(f7(x101951,f906(x101951,a895),a895),f318(x101951)),x101953))),x101954)),x101955)),x101956),f178(f906(x101951,a895)))
% 190.77/190.68 [10196]P1(f836(f836(f318(x101962),x101965),x101966))+~P1(f836(f836(f318(x101962),x101964),x101966))+E(f836(f301(x101961,x101962,f836(f836(f7(x101961,x101962,x101962),f836(f836(f7(x101961,x101962,f906(x101962,x101962)),f836(f836(f8(a895,f906(x101962,f906(x101962,x101962)),x101961),f86(x101962)),f836(f836(f7(x101961,f906(x101961,a895),a895),f318(x101961)),x101963))),x101964)),x101965)),x101966),x101963)
% 190.77/190.68 [10197]P1(f836(f836(f318(x101972),x101974),x101976))+~P1(f836(f836(f318(x101972),x101975),x101976))+E(f836(f301(x101971,x101972,f836(f836(f7(x101971,x101972,x101972),f836(f836(f7(x101971,x101972,f906(x101972,x101972)),f836(f836(f8(a895,f906(x101972,f906(x101972,x101972)),x101971),f86(x101972)),f836(f836(f7(x101971,f906(x101971,a895),a895),f318(x101971)),x101973))),x101974)),x101975)),x101976),f836(f73(f906(x101971,a895)),x101973))
% 190.77/190.68 [10198]~P1(f836(f836(f318(x101982),x101984),x101986))+~P1(f836(f836(f318(x101982),x101985),x101986))+E(f836(f301(x101981,x101982,f836(f836(f7(x101981,x101982,x101982),f836(f836(f7(x101981,x101982,f906(x101982,x101982)),f836(f836(f8(a895,f906(x101982,f906(x101982,x101982)),x101981),f86(x101982)),f836(f836(f7(x101981,f906(x101981,a895),a895),f318(x101981)),x101983))),x101984)),x101985)),x101986),f232(f906(x101981,a895)))
% 190.77/190.68 [8745]E(x87451,x87452)+~P56(x87454,x87455,x87453,x87456,x87457)+~E(f836(x87453,x87451),f836(x87453,x87452))
% 190.77/190.68 [8774]~P10(x87746,x87745,x87747,x87744,x87741)+E(f836(f836(x87741,x87742),x87743),x87744)+P1(f836(f29(x87745),x87743))
% 190.77/190.68 [9654]P41(x96541,x96542,x96543,x96544,x96545,f836(f836(x96543,x96546),x96547))+~E(f836(f836(x96543,x96546),x96547),x96544)+~E(x96545,f178(f906(x96541,a895)))
% 190.77/190.68 [9833]~P1(f836(x98336,x98333))+~P1(f836(f836(f318(f905(x98332,x98332)),f836(f836(f242(x98332,x98332),x98334),x98335)),f836(x98337,x98333)))+P1(f836(f836(f318(f905(f905(x98331,x98332),f905(x98331,x98332))),f836(f836(f242(f905(x98331,x98332),f905(x98331,x98332)),f836(f836(f242(x98331,x98332),x98333),x98334)),f836(f836(f242(x98331,x98332),x98333),x98335))),f270(x98331,x98332,x98336,x98337)))
% 190.77/190.68 [10260]~P41(x102602,x102607,x102603,x102606,x102601,f836(f836(x102603,x102605),x102604))+E(f836(f836(x102603,f532(x102604,x102605,x102601,x102606,x102603,x102607,x102602)),f545(x102604,x102605,x102601,x102606,x102603,x102607,x102602)),f836(f836(x102603,x102605),x102604))+E(x102601,f178(f906(x102602,a895)))
% 190.77/190.68 [10261]~P41(x102617,x102616,x102611,x102614,x102615,f836(f836(x102611,x102612),x102613))+E(f836(f836(x102611,f532(x102613,x102612,x102615,x102614,x102611,x102616,x102617)),f545(x102613,x102612,x102615,x102614,x102611,x102616,x102617)),f836(f836(x102611,x102612),x102613))+E(f836(f836(x102611,x102612),x102613),x102614)
% 190.77/190.68 [9318]~P33(x93181,x93182,x93183,x93185,x93187)+P33(x93181,x93182,x93183,f836(f836(f141(x93181),x93184),x93185),f836(f836(f141(x93182),x93186),x93187))+~P1(f836(f836(x93183,x93184),x93186))
% 190.77/190.68 [9337]P33(x93371,x93372,x93373,x93374,x93375)+~P33(x93371,x93372,x93373,f836(f836(f124(x93371),x93376),x93374),f836(f836(f124(x93372),x93377),x93375))+~E(f836(f179(f900(x93371)),x93376),f836(f179(f900(x93372)),x93377))
% 190.77/190.68 [9338]P33(x93381,x93382,x93383,x93384,x93385)+~P33(x93381,x93382,x93383,f836(f836(f124(x93381),x93384),x93386),f836(f836(f124(x93382),x93385),x93387))+~E(f836(f179(f900(x93381)),x93384),f836(f179(f900(x93382)),x93385))
% 190.77/190.68 [9553]~P33(x95531,x95532,x95533,x95535,x95537)+~P33(x95531,x95532,x95533,x95534,x95536)+P33(x95531,x95532,x95533,f836(f836(f124(x95531),x95534),x95535),f836(f836(f124(x95532),x95536),x95537))
% 190.77/190.68 [9907]~P1(f836(f61(x99071,x99074,x99075,x99076,x99073),x99077))+P1(f836(f61(x99071,x99074,x99075,x99076,f836(f836(f299(x99071),x99072),x99073)),f836(f836(x99075,x99072),x99077)))+P1(f836(f836(f318(x99071),x99072),x99073))
% 190.77/190.68 [10292]~P41(x102922,x102927,x102926,x102925,x102921,f836(f836(x102926,x102924),x102923))+E(x102921,f178(f906(x102922,a895)))+P1(f836(f836(f318(x102922),f532(x102923,x102924,x102921,x102925,x102926,x102927,x102922)),x102921))
% 190.77/190.68 [10293]~P41(x102935,x102937,x102931,x102934,x102936,f836(f836(x102931,x102932),x102933))+E(f836(f836(x102931,x102932),x102933),x102934)+P1(f836(f836(f318(x102935),f532(x102933,x102932,x102936,x102934,x102931,x102937,x102935)),x102936))
% 190.77/190.68 [10380]E(f836(f836(f242(x103801,x103802),x103803),x103804),f836(f836(f242(x103801,x103802),x103805),x103806))+P1(f836(f836(f318(f905(f905(x103801,x103802),f905(x103801,x103802))),f836(f836(f242(f905(x103801,x103802),f905(x103801,x103802)),f836(f836(f242(x103801,x103802),f815(x103807,x103804,x103803,x103806,x103805,x103802,x103801)),f816(x103807,x103804,x103803,x103806,x103805,x103802,x103801))),f836(f836(f242(x103801,x103802),x103803),x103804))),f297(f905(x103801,x103802),x103807)))+~P1(f836(f836(f318(f905(f905(x103801,x103802),f905(x103801,x103802))),f836(f836(f242(f905(x103801,x103802),f905(x103801,x103802)),f836(f836(f242(x103801,x103802),x103805),x103806)),f836(f836(f242(x103801,x103802),x103803),x103804))),f297(f905(x103801,x103802),x103807)))
% 190.77/190.68 [9015]~P21(x90154,x90155,x90156,x90157,x90151)+~P1(f836(f29(x90155),x90153))+E(f836(f836(x90151,x90152),x90153),f836(f836(f836(f60(x90154,x90155,x90156),x90152),x90157),x90153))
% 190.77/190.68 [9016]~P10(x90164,x90165,x90166,x90167,x90161)+~P1(f836(f29(x90165),x90163))+E(f836(f836(x90161,x90162),x90163),f836(f836(f836(f60(x90164,x90165,x90166),x90162),x90167),x90163))
% 190.77/190.68 [9806]~P23(x98063,x98064,x98065,x98067,x98066,x98061)+~P1(f836(f29(x98064),x98062))+E(f836(x98061,x98062),f836(f836(f836(f60(x98063,x98064,x98065),x98066),x98067),x98062))
% 190.77/190.68 [9956]P41(x99561,x99562,x99563,x99564,x99565,f836(f836(x99563,x99566),x99567))+~P41(x99561,x99562,x99563,x99564,f836(f836(f23(f906(x99561,a895)),x99565),f836(f836(f299(x99561),x99566),f178(f906(x99561,a895)))),x99567)+~P1(f836(f836(f318(x99561),x99566),x99565))
% 190.77/190.68 [10316]P1(f836(f836(x103167,f764(x103164,x103165,x103161,x103166,x103163,x103162,x103167)),f765(x103164,x103165,x103161,x103166,x103163,x103162,x103167)))+~P1(f836(f836(x103167,f836(f246(x103162,x103163),x103166)),f836(f241(x103162,x103163),x103166)))+P1(f836(x103161,f836(f836(f247(x103162,x103163,x103164),x103165),x103166)))
% 190.77/190.68 [10326]~P41(x103262,x103263,x103264,x103265,x103261,f836(f836(x103264,x103267),x103266))+P41(x103262,x103263,x103264,x103265,f836(f836(f23(f906(x103262,a895)),x103261),f836(f836(f299(x103262),f532(x103266,x103267,x103261,x103265,x103264,x103263,x103262)),f178(f906(x103262,a895)))),f545(x103266,x103267,x103261,x103265,x103264,x103263,x103262))+E(x103261,f178(f906(x103262,a895)))
% 190.77/190.68 [10327]~P41(x103275,x103276,x103271,x103274,x103277,f836(f836(x103271,x103272),x103273))+P41(x103275,x103276,x103271,x103274,f836(f836(f23(f906(x103275,a895)),x103277),f836(f836(f299(x103275),f532(x103273,x103272,x103277,x103274,x103271,x103276,x103275)),f178(f906(x103275,a895)))),f545(x103273,x103272,x103277,x103274,x103271,x103276,x103275))+E(f836(f836(x103271,x103272),x103273),x103274)
% 190.77/190.68 [10347]~P1(f836(x103471,f836(f836(x103475,f765(x103474,x103475,x103471,x103476,x103473,x103472,x103477)),f764(x103474,x103475,x103471,x103476,x103473,x103472,x103477))))+~P1(f836(f836(x103477,f836(f246(x103472,x103473),x103476)),f836(f241(x103472,x103473),x103476)))+P1(f836(x103471,f836(f836(f247(x103472,x103473,x103474),x103475),x103476)))
% 190.77/190.68 [9639]P1(f836(f836(f224(f906(f905(x96391,x96392),a895)),f836(f836(f279(x96391,x96393,x96392),x96394),x96395)),f836(f836(f279(x96391,x96393,x96392),x96396),x96397)))+~P1(f836(f836(f224(f906(f905(x96393,x96392),a895)),x96395),x96397))+~P1(f836(f836(f224(f906(f905(x96391,x96393),a895)),x96394),x96396))
% 190.77/190.68 [10374]E(f836(f836(f242(x103741,x103742),x103743),x103744),f836(f836(f242(x103741,x103742),x103745),x103746))+~P1(f836(f836(f318(f905(f905(x103741,x103742),f905(x103741,x103742))),f836(f836(f242(f905(x103741,x103742),f905(x103741,x103742)),f836(f836(f242(x103741,x103742),x103743),x103744)),f836(f836(f242(x103741,x103742),x103745),x103746))),f297(f905(x103741,x103742),x103747)))+P1(f836(f836(f318(f905(f905(x103741,x103742),f905(x103741,x103742))),f836(f836(f242(f905(x103741,x103742),f905(x103741,x103742)),f836(f836(f242(x103741,x103742),x103743),x103744)),f836(f836(f242(x103741,x103742),f815(x103747,x103746,x103745,x103744,x103743,x103742,x103741)),f816(x103747,x103746,x103745,x103744,x103743,x103742,x103741)))),x103747))
% 190.77/190.68 [9967]~P1(f836(f836(f318(x99671),x99676),x99675))+P1(f836(f61(x99671,x99672,x99673,x99674,x99675),f836(f836(x99673,x99676),x99677)))+~P1(f836(f61(x99671,x99672,x99673,x99674,f836(f836(f23(f906(x99671,a895)),x99675),f836(f836(f299(x99671),x99676),f178(f906(x99671,a895))))),x99677))
% 190.77/190.68 [10387]~P145(x103871)+~P24(f905(x103872,x103873),x103871,f836(f247(x103872,x103873,x103871),f836(f836(f7(x103872,f906(x103873,x103871),f906(x103873,x103871)),f836(f836(f8(f906(x103871,x103871),f906(f906(x103873,x103871),f906(x103873,x103871)),x103872),f8(x103871,x103871,x103873)),f836(f836(f8(x103871,f906(x103871,x103871),x103872),f75(x103871)),x103874))),x103875)),f836(f836(f244(x103872,x103873),x103876),f836(f16(f906(x103873,a895),x103872),x103877)))+E(f836(f836(f6(x103871,x103871),f25(x103871)),f836(f252(x103871),f836(f836(f8(f906(x103872,a895),a895,x103871),f81(x103872)),f836(f836(f8(f906(x103872,f906(x103873,a895)),f906(x103872,a895),x103871),f836(f8(f906(x103873,a895),a895,x103872),f81(x103873))),f836(f836(f7(x103871,f906(x103872,f906(x103873,a895)),f906(x103872,f906(x103873,a895))),f836(f836(f8(f906(x103872,f906(f906(x103873,a895),f906(x103873,a895))),f906(f906(x103872,f906(x103873,a895)),f906(x103872,f906(x103873,a895))),x103871),f18(x103872,f906(x103873,a895),f906(x103873,a895))),f836(f836(f8(f906(x103872,f906(x103873,f906(a895,a895))),f906(x103872,f906(f906(x103873,a895),f906(x103873,a895))),x103871),f836(f8(f906(x103873,f906(a895,a895)),f906(f906(x103873,a895),f906(x103873,a895)),x103872),f18(x103873,a895,a895))),f836(f836(f8(f906(x103872,f906(x103873,a895)),f906(x103872,f906(x103873,f906(a895,a895))),x103871),f836(f8(f906(x103873,a895),f906(x103873,f906(a895,a895)),x103872),f836(f8(a895,f906(a895,a895),x103873),a315))),f836(f836(f7(x103871,f906(x103872,f906(x103873,x103871)),f906(x103872,f906(x103873,a895))),f836(f836(f8(f906(f906(x103873,x103871),f906(x103873,a895)),f906(f906(x103872,f906(x103873,x103871)),f906(x103872,f906(x103873,a895))),x103871),f8(f906(x103873,x103871),f906(x103873,a895),x103872)),f836(f836(f8(f906(x103871,a895),f906(f906(x103873,x103871),f906(x103873,a895)),x103871),f8(x103871,a895,x103873)),a314))),f836(f836(f7(x103872,f906(x103873,x103871),f906(x103873,x103871)),f836(f836(f8(f906(x103871,x103871),f906(f906(x103873,x103871),f906(x103873,x103871)),x103872),f8(x103871,x103871,x103873)),f836(f836(f8(x103871,f906(x103871,x103871),x103872),f75(x103871)),x103874))),x103875)))))),f836(f836(f7(x103872,f906(x103873,a895),f906(x103873,a895)),f836(f836(f8(f906(a895,a895),f906(f906(x103873,a895),f906(x103873,a895)),x103872),f8(a895,a895,x103873)),f836(f836(f8(a895,f906(a895,a895),x103872),a315),f836(f836(f7(x103872,f906(x103872,a895),a895),f318(x103872)),x103876)))),f836(f836(f7(x103873,f906(x103873,a895),a895),f318(x103873)),x103877))))))),f836(f836(f75(x103871),f836(f836(f6(x103872,x103871),x103874),x103876)),f836(f836(f6(x103873,x103871),x103875),x103877)))
% 190.77/190.68 [9643]~P25(x96431,x96433,x96435,x96436,x96438)+~P25(x96433,x96432,x96434,x96438,x96437)+P25(x96431,x96432,f836(f67(x96433,x96432,x96431,x96434),x96435),x96436,x96437)
% 190.77/190.68 [9672]P25(x96721,x96722,x96723,x96724,x96725)+~P25(x96726,x96721,x96727,x96728,x96724)+~P25(x96726,x96722,f836(f67(x96721,x96722,x96726,x96723),x96727),x96728,x96725)
% 190.77/190.68 [9804]~P1(f836(f836(x98044,x98046),x98048))+~P1(f836(f836(x98045,x98048),x98047))+P1(f836(f836(f243(x98041,x98042,x98043,x98044,x98045),x98046),x98047))
% 190.77/190.68 [9393]~P19(x93938,x93931,x93933,x93935)+~P1(f836(f29(x93938),x93936))+E(f836(f67(x93931,x93931,x93932,f836(x93933,x93934)),f836(f67(x93931,x93931,x93932,f836(x93935,x93936)),x93937)),f836(f67(x93931,x93931,x93932,f836(x93935,x93936)),f836(f67(x93931,x93931,x93932,f836(x93933,x93934)),x93937)))
% 190.77/190.68 [9794]~P22(x97947,x97942,x97945,x97948,x97946,x97941)+~P1(f836(f29(x97942),x97944))+E(f836(x97941,f836(f836(f299(x97942),x97943),x97944)),f836(f836(x97945,f836(x97946,x97943)),f836(x97941,x97944)))
% 190.77/190.68 [9912]~P24(x99122,x99124,x99126,x99128)+~P24(x99121,x99123,x99125,x99127)+P24(f905(x99121,x99122),f905(x99123,x99124),f248(x99121,x99123,x99122,x99124,x99125,x99126),f836(f836(f244(x99121,x99122),x99127),f836(f16(f906(x99122,a895),x99121),x99128)))
% 190.77/190.68 [9579]P1(f836(f836(f318(f905(x95791,x95792)),f836(f836(f242(x95791,x95792),x95793),x95794)),f836(f836(f279(x95791,x95795,x95792),x95796),x95797)))+~P1(f836(f836(f318(f905(x95791,x95795)),f836(f836(f242(x95791,x95795),x95793),x95798)),x95796))+~P1(f836(f836(f318(f905(x95795,x95792)),f836(f836(f242(x95795,x95792),x95798),x95794)),x95797))
% 190.77/190.68 [9775]~P1(f836(f836(f224(f906(f905(x97753,x97752),a895)),x97755),f836(f836(f244(x97753,x97752),x97758),f836(f16(f906(x97752,a895),x97753),x97757))))+~P1(f836(f836(f224(f906(f905(x97751,x97753),a895)),x97754),f836(f836(f244(x97751,x97753),x97756),f836(f16(f906(x97753,a895),x97751),x97758))))+P1(f836(f836(f224(f906(f905(x97751,x97752),a895)),f836(f836(f279(x97751,x97753,x97752),x97754),x97755)),f836(f836(f244(x97751,x97752),x97756),f836(f16(f906(x97752,a895),x97751),x97757))))
% 190.77/190.68 [9828]~E(x98283,x98285)+P1(f836(f836(f318(f905(f905(x98281,x98282),f905(x98281,x98282))),f836(f836(f242(f905(x98281,x98282),f905(x98281,x98282)),f836(f836(f242(x98281,x98282),x98283),x98284)),f836(f836(f242(x98281,x98282),x98285),x98286))),f310(x98281,x98282,x98287,x98288)))+~P1(f836(f836(f318(f905(x98282,x98282)),f836(f836(f242(x98282,x98282),x98284),x98286)),x98288))
% 190.77/190.68 [9931]E(x99311,x99312)+~P1(f836(f836(f318(f905(f905(x99313,x99315),f905(x99313,x99315))),f836(f836(f242(f905(x99313,x99315),f905(x99313,x99315)),f836(f836(f242(x99313,x99315),x99311),x99316)),f836(f836(f242(x99313,x99315),x99312),x99317))),f310(x99313,x99315,x99314,x99318)))+P1(f836(f836(f318(f905(x99313,x99313)),f836(f836(f242(x99313,x99313),x99311),x99312)),x99314))
% 190.77/190.68 [9946]~P1(f836(f836(f318(f905(f905(x99461,x99465),f905(x99461,x99465))),f836(f836(f242(f905(x99461,x99465),f905(x99461,x99465)),f836(f836(f242(x99461,x99465),x99462),x99466)),f836(f836(f242(x99461,x99465),x99463),x99467))),f310(x99461,x99465,x99464,x99468)))+P1(f836(f836(f318(f905(x99461,x99461)),f836(f836(f242(x99461,x99461),x99462),x99463)),x99464))+P1(f836(f836(f318(f905(x99465,x99465)),f836(f836(f242(x99465,x99465),x99466),x99467)),x99468))
% 190.77/190.68 [9863]~P23(x98637,x98635,x98631,x98638,x98632,x98634)+~P1(f836(f29(x98635),x98636))+E(f836(f836(x98631,f836(x98632,x98633)),f836(x98634,f836(f836(f23(f906(x98635,a895)),x98636),f836(f836(f299(x98635),x98633),f178(f906(x98635,a895)))))),f836(x98634,f836(f836(f299(x98635),x98633),x98636)))
% 190.77/190.68 [9344]~P1(f836(f836(f836(x93445,x93448),x93446),x93447))+~P1(f836(f836(f318(x93441),x93448),x93444))+P1(f836(f836(f836(f836(f35(x93441,f906(x93442,f906(x93443,a895))),x93444),x93445),x93446),x93447))
% 190.77/190.68 [9564]P1(f836(f836(f836(x95641,x95642),x95643),x95644))+~P1(f836(f836(f318(x95645),x95642),x95646))+~P1(f836(f836(f836(f836(f36(x95645,f906(x95647,f906(x95648,a895))),x95646),x95641),x95643),x95644))
% 190.77/190.68 [9768]~P21(x97683,x97682,x97684,x97688,x97681)+~P1(f836(f29(x97682),x97687))+E(f836(f836(x97681,f836(f836(f18(x97682,x97683,x97683),f836(f836(f8(x97683,f906(x97683,x97683),x97682),x97684),x97685)),x97686)),x97687),f836(f836(x97684,f836(f836(x97681,x97685),x97687)),f836(f836(x97681,x97686),x97687)))
% 190.77/190.68 [10032]~E(f836(f300(x100322,x100324,x100326),x100328),x1003210)+~E(f836(f300(x100321,x100323,x100325),x100327),x100329)+E(f836(f300(f905(x100321,x100322),f905(x100323,x100324),f248(x100321,x100323,x100322,x100324,x100325,x100326)),f836(f836(f244(x100321,x100322),x100327),f836(f16(f906(x100322,a895),x100321),x100328))),f836(f836(f244(x100323,x100324),x100329),f836(f16(f906(x100324,a895),x100323),x1003210)))
% 190.77/190.68 [4942]~P42(x49421,x49422)+~P49(x49421,x49422)+~P50(x49421,x49422)+P7(x49421,x49422)
% 190.77/190.68 [4898]~P108(x48982)+~P13(x48982,x48981)+P13(x48982,f104(x48982,x48981))+E(x48981,f103(x48982))
% 190.77/190.68 [4899]~P108(x48992)+~P13(x48992,x48991)+P13(x48992,f684(x48991,x48992))+E(x48991,f103(x48992))
% 190.77/190.68 [5146]~P5(x51462)+E(f10(x51462,x51461),f33(x51462,x51461))+E(x51461,f178(f906(x51462,a895)))+~P1(f836(f29(x51462),x51461))
% 190.77/190.68 [5147]~P5(x51472)+E(f13(x51472,x51471),f32(x51472,x51471))+E(x51471,f178(f906(x51472,a895)))+~P1(f836(f29(x51472),x51471))
% 190.77/190.68 [5304]~P108(x53042)+~P13(x53042,x53041)+E(x53041,f103(x53042))+E(f836(f836(f141(x53042),f704(x53041,x53042)),f684(x53041,x53042)),x53041)
% 190.77/190.68 [6127]~P99(x61272)+E(x61271,f178(f906(x61272,a895)))+P1(f836(f836(f224(x61272),f10(x61272,x61271)),f13(x61272,x61271)))+~P1(f836(f29(x61272),x61271))
% 190.77/190.68 [6138]~P39(x61382)+~P39(x61381)+E(x61381,x61382)+~E(f836(f300(a1,a899,a95),x61381),f836(f300(a1,a899,a95),x61382))
% 190.77/190.68 [9200]~P111(x92001)+~P1(f836(f836(f318(x92001),x92002),f100(x92001)))+P1(f836(f836(f225(x92001),f836(f836(f74(x92001),f836(f836(f74(x92001),f72(x92001)),x92002)),x92002)),f2(x92001)))+~P1(f836(f836(f225(x92001),x92002),f2(x92001)))
% 190.77/190.68 [9446]~P111(x94461)+~P1(f836(f836(f318(x94461),x94462),f100(x94461)))+~P1(f836(f836(f225(x94461),f836(f836(f74(x94461),f836(f836(f74(x94461),f72(x94461)),x94462)),x94462)),f2(x94461)))+P1(f836(f836(f225(x94461),x94462),f2(x94461)))
% 190.77/190.68 [4957]~P115(x49572)+~P145(x49572)+E(x49571,f2(a899))+E(f836(f836(f234(x49572),f2(x49572)),x49571),f2(x49572))
% 190.77/190.68 [4960]~P115(x49601)+~P145(x49601)+~E(x49602,f2(a899))+E(f836(f836(f234(x49601),f2(x49601)),x49602),f72(x49601))
% 190.77/190.68 [5132]~P143(x51322)+E(x51321,f72(x51322))+E(x51321,f836(f73(x51322),f72(x51322)))+~E(f836(f836(f75(x51322),x51321),x51321),f72(x51322))
% 190.77/190.68 [5381]~P90(x53812)+E(x53811,f2(x53812))+E(f76(x53812,x53811),f836(f73(x53812),f72(x53812)))+P1(f836(f836(f225(x53812),f2(x53812)),x53811))
% 190.77/190.68 [5623]~P90(x56232)+E(f76(x56232,x56231),f72(x56232))+E(x56231,f2(x56232))+~P1(f836(f836(f225(x56232),f2(x56232)),x56231))
% 190.77/190.68 [5632]E(x56321,x56322)+~E(f836(f94(a899),x56321),f836(f94(a899),x56322))+P1(f836(a183,f836(f94(a1),x56322)))+P1(f836(a183,f836(f94(a1),x56321)))
% 190.77/190.68 [5683]~P92(x56831)+~E(x56832,f2(x56831))+E(f836(f836(f74(x56831),x56832),x56832),f2(x56831))+~P1(f836(f836(f318(x56831),x56832),f100(x56831)))
% 190.77/190.68 [5722]E(x57221,f2(a1))+~E(f836(f836(f31(a1),x57222),x57221),f2(a1))+P1(f836(f836(f225(a1),x57221),x57222))+P1(f836(f836(f225(a1),x57222),x57221))
% 190.77/190.68 [5752]E(x57521,f2(a1))+~E(f836(f836(f31(a1),x57522),x57521),f2(a1))+P1(f836(f836(f224(a1),x57522),f2(a1)))+P1(f836(f836(f225(a1),x57522),x57521))
% 190.77/190.68 [5786]E(x57861,f2(a1))+~E(f836(f836(f31(a1),x57862),x57861),f2(a1))+P1(f836(f836(f224(a1),f2(a1)),x57862))+P1(f836(f836(f225(a1),x57861),x57862))
% 190.77/190.68 [5821]~P92(x58212)+E(x58211,f2(x58212))+~E(f836(f836(f74(x58212),x58211),x58211),f2(x58212))+~P1(f836(f836(f318(x58212),x58211),f100(x58212)))
% 190.77/190.68 [5892]E(f836(f94(a899),x58921),f836(f94(a899),x58922))+~E(f836(f94(a1),x58922),f2(a1))+P1(f836(a183,f836(f94(a1),x58922)))+~P1(f836(a183,f836(f94(a1),x58921)))
% 190.77/190.68 [5921]~E(f836(f94(a899),x59212),f836(f94(a899),x59211))+E(f836(f94(a1),x59211),f2(a1))+P1(f836(a183,f836(f94(a1),x59211)))+~P1(f836(a183,f836(f94(a1),x59212)))
% 190.77/190.68 [5931]~P108(x59312)+E(x59311,f178(f906(x59312,a895)))+~P1(f836(f29(x59312),x59311))+P1(f836(f836(f318(x59312),f14(x59312,x59311)),x59311))
% 190.77/190.68 [5932]~P108(x59322)+E(x59321,f178(f906(x59322,a895)))+~P1(f836(f29(x59322),x59321))+P1(f836(f836(f318(x59322),f15(x59322,x59321)),x59321))
% 190.77/190.68 [6104]~P111(x61041)+~P94(x61041)+P1(f836(f836(f224(x61041),f2(x61041)),f836(f94(x61041),x61042)))+~P1(f836(f836(f224(a1),a77),x61042))
% 190.77/190.68 [6105]~P111(x61051)+~P94(x61051)+P1(f836(f836(f225(x61051),f2(x61051)),f836(f94(x61051),x61052)))+~P1(f836(f836(f225(a1),a77),x61052))
% 190.77/190.68 [6126]~P111(x61261)+~P94(x61261)+E(f836(f70(x61261),f836(f94(x61261),x61262)),f836(f94(x61261),x61262))+P1(f836(f836(f225(x61261),f836(f94(x61261),x61262)),f2(x61261)))
% 190.77/190.68 [6162]E(x61621,x61622)+~E(f836(a95,x61621),f836(a95,x61622))+~P1(f836(f836(f224(a1),f2(a1)),x61622))+~P1(f836(f836(f224(a1),f2(a1)),x61621))
% 190.77/190.68 [6363]~P94(x63632)+~P111(x63632)+~P1(f836(f836(f224(x63632),f2(x63632)),f836(f94(x63632),x63631)))+P1(f836(f836(f224(a1),a77),x63631))
% 190.77/190.68 [6364]~P94(x63642)+~P111(x63642)+~P1(f836(f836(f225(x63642),f2(x63642)),f836(f94(x63642),x63641)))+P1(f836(f836(f225(a1),a77),x63641))
% 190.77/190.68 [6369]~P111(x63691)+~P94(x63691)+P1(f836(f836(f224(x63691),f836(f94(x63691),x63692)),f2(x63691)))+~P1(f836(f836(f224(a1),x63692),a77))
% 190.77/190.68 [6370]~P111(x63701)+~P94(x63701)+P1(f836(f836(f225(x63701),f836(f94(x63701),x63702)),f2(x63701)))+~P1(f836(f836(f225(a1),x63702),a77))
% 190.77/190.68 [6698]~P94(x66982)+~P111(x66982)+~P1(f836(f836(f224(x66982),f836(f94(x66982),x66981)),f2(x66982)))+P1(f836(f836(f224(a1),x66981),a77))
% 190.77/190.68 [6699]~P94(x66992)+~P111(x66992)+~P1(f836(f836(f225(x66992),f836(f94(x66992),x66991)),f2(x66992)))+P1(f836(f836(f225(a1),x66991),a77))
% 190.77/190.68 [6792]~P111(x67921)+~P94(x67921)+E(f836(f70(x67921),f836(f94(x67921),x67922)),f836(f73(x67921),f836(f94(x67921),x67922)))+~P1(f836(f836(f225(x67921),f836(f94(x67921),x67922)),f2(x67921)))
% 190.77/190.68 [6811]E(f836(f94(a899),x68111),f836(f94(a899),x68112))+~E(f836(f94(a1),x68112),f2(a1))+~P1(f836(f836(f224(a1),f836(f94(a1),x68111)),f2(a1)))+~P1(f836(a183,f836(f94(a1),x68111)))
% 190.77/190.68 [7700]~P108(x77002)+E(x77001,f178(f906(x77002,a895)))+~P1(f836(f29(x77002),x77001))+P1(f836(f836(f224(x77002),f11(x77002,f228(x77002),x77001)),f12(x77002,f223(x77002),x77001)))
% 190.77/190.68 [8020]~P39(x80202)+~P6(x80201)+P1(f836(f836(f318(a1),x80201),x80202))+~P1(f836(f836(f318(a899),f836(a95,x80201)),f836(f300(a1,a899,a95),x80202)))
% 190.77/190.68 [5927]~P128(x59272)+E(x59271,f2(a1))+E(f836(f73(x59272),f836(f93(x59272),f836(f73(a1),x59271))),f836(f93(x59272),x59271))+~P1(f836(f836(f225(a1),x59271),f2(a1)))
% 190.77/190.68 [6006]~P92(x60061)+~P94(x60061)+~P27(x60061,f836(f94(x60061),x60062))+P27(x60061,f836(f94(x60061),f836(f836(f74(a1),x60062),x60062)))
% 190.77/190.68 [6352]~P77(x63522)+E(x63521,f178(f906(x63522,a895)))+E(f15(x63522,f836(f300(x63522,x63522,f73(x63522)),x63521)),f836(f73(x63522),f14(x63522,x63521)))+~P1(f836(f29(x63522),x63521))
% 190.77/190.68 [6353]~P77(x63532)+E(x63531,f178(f906(x63532,a895)))+E(f14(x63532,f836(f300(x63532,x63532,f73(x63532)),x63531)),f836(f73(x63532),f15(x63532,x63531)))+~P1(f836(f29(x63532),x63531))
% 190.77/190.68 [6387]~P92(x63871)+~P94(x63871)+P27(x63871,f836(f94(x63871),x63872))+~P27(x63871,f836(f94(x63871),f836(f836(f74(a1),x63872),x63872)))
% 190.77/190.68 [6482]E(x64821,f2(a1))+E(f836(a47,f46(f836(f73(a1),x64821),f836(f73(a1),x64822))),f42(x64821,x64822))+P1(f836(f836(f224(a1),f2(a1)),x64822))+~P1(f836(f836(f224(a1),f2(a1)),x64821))
% 190.77/190.68 [8802]~P39(x88022)+~P39(x88021)+P1(f836(f836(f225(f906(a899,a895)),f836(f300(a1,a899,a95),x88021)),f836(f300(a1,a899,a95),x88022)))+~P1(f836(f836(f225(f906(a1,a895)),x88021),x88022))
% 190.77/190.68 [9033]~E(f706(x90332,x90331),f707(x90332,x90331))+~P1(f836(f127(x90331),f708(x90332,x90331)))+~P1(f836(f127(f900(x90331)),x90332))+P1(f836(f127(x90331),f836(f132(f900(x90331),f900(x90331),f124(x90331),f103(x90331)),x90332)))
% 190.77/190.68 [9119]~P39(x91192)+~P39(x91191)+~P1(f836(f836(f224(f906(a899,a895)),f836(f300(a1,a899,a95),x91191)),f836(f300(a1,a899,a95),x91192)))+P1(f836(f836(f224(f906(a1,a895)),x91191),x91192))
% 190.77/190.68 [9120]~P39(x91202)+~P39(x91201)+~P1(f836(f836(f225(f906(a899,a895)),f836(f300(a1,a899,a95),x91201)),f836(f300(a1,a899,a95),x91202)))+P1(f836(f836(f225(f906(a1,a895)),x91201),x91202))
% 190.77/190.68 [9127]~E(f706(x91272,x91271),f707(x91272,x91271))+~P1(f836(f127(f900(x91271)),x91272))+P1(f836(f127(x91271),f836(f132(f900(x91271),f900(x91271),f124(x91271),f103(x91271)),x91272)))+P1(f836(f836(f318(f900(x91271)),f708(x91272,x91271)),f836(f162(f900(x91271)),x91272)))
% 190.77/190.68 [9168]~P1(f836(f127(x91681),f708(x91682,x91681)))+~P1(f836(f127(f900(x91681)),x91682))+P1(f836(f127(x91681),f836(f132(f900(x91681),f900(x91681),f124(x91681),f103(x91681)),x91682)))+P1(f836(f836(f318(f900(x91681)),f707(x91682,x91681)),f836(f162(f900(x91681)),x91682)))
% 190.77/190.68 [9169]~P1(f836(f127(x91691),f708(x91692,x91691)))+~P1(f836(f127(f900(x91691)),x91692))+P1(f836(f127(x91691),f836(f132(f900(x91691),f900(x91691),f124(x91691),f103(x91691)),x91692)))+P1(f836(f836(f318(f900(x91691)),f706(x91692,x91691)),f836(f162(f900(x91691)),x91692)))
% 190.77/190.68 [9246]~P1(f836(f127(f900(x92461)),x92462))+P1(f836(f127(x92461),f836(f132(f900(x92461),f900(x92461),f124(x92461),f103(x92461)),x92462)))+P1(f836(f836(f318(f900(x92461)),f707(x92462,x92461)),f836(f162(f900(x92461)),x92462)))+P1(f836(f836(f318(f900(x92461)),f708(x92462,x92461)),f836(f162(f900(x92461)),x92462)))
% 190.77/190.68 [9247]~P1(f836(f127(f900(x92471)),x92472))+P1(f836(f127(x92471),f836(f132(f900(x92471),f900(x92471),f124(x92471),f103(x92471)),x92472)))+P1(f836(f836(f318(f900(x92471)),f706(x92472,x92471)),f836(f162(f900(x92471)),x92472)))+P1(f836(f836(f318(f900(x92471)),f708(x92472,x92471)),f836(f162(f900(x92471)),x92472)))
% 190.77/190.68 [9261]~E(f836(f836(f92(f906(x92611,a895)),f836(f162(x92611),f707(x92612,x92611))),f836(f162(x92611),f706(x92612,x92611))),f178(f906(x92611,a895)))+~P1(f836(f127(x92611),f708(x92612,x92611)))+~P1(f836(f127(f900(x92611)),x92612))+P1(f836(f127(x92611),f836(f132(f900(x92611),f900(x92611),f124(x92611),f103(x92611)),x92612)))
% 190.77/190.68 [9324]~E(f836(f836(f92(f906(x93241,a895)),f836(f162(x93241),f707(x93242,x93241))),f836(f162(x93241),f706(x93242,x93241))),f178(f906(x93241,a895)))+~P1(f836(f127(f900(x93241)),x93242))+P1(f836(f127(x93241),f836(f132(f900(x93241),f900(x93241),f124(x93241),f103(x93241)),x93242)))+P1(f836(f836(f318(f900(x93241)),f708(x93242,x93241)),f836(f162(f900(x93241)),x93242)))
% 190.77/190.68 [9612]E(x96121,f2(a1))+E(x96122,f2(a1))+E(f836(f836(f80(a1,f905(a1,a1)),f836(f836(a207,x96122),x96121)),f836(f836(f18(a1,a1,f905(a1,a1)),f836(f836(f8(a1,f906(a1,f905(a1,a1)),a1),f242(a1,a1)),f836(f31(a1),x96122))),f836(f31(a1),x96121))),f205(x96122,x96121))+P1(f836(f836(f225(a1),x96121),f2(a1)))
% 190.77/190.68 [8346]~P94(x83462)+~P111(x83462)+~P1(f836(f836(f224(x83462),f836(f94(x83462),x83461)),f72(x83462)))+P1(f836(f836(f224(a1),x83461),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))
% 190.77/190.68 [8347]~P94(x83472)+~P111(x83472)+~P1(f836(f836(f225(x83472),f836(f94(x83472),x83471)),f72(x83472)))+P1(f836(f836(f225(a1),x83471),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))
% 190.77/190.68 [8618]~P111(x86181)+~P94(x86181)+P1(f836(f836(f224(x86181),f836(f94(x86181),x86182)),f72(x86181)))+~P1(f836(f836(f224(a1),x86182),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))
% 190.77/190.68 [8619]~P111(x86191)+~P94(x86191)+P1(f836(f836(f225(x86191),f836(f94(x86191),x86192)),f72(x86191)))+~P1(f836(f836(f225(a1),x86192),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))
% 190.77/190.68 [8830]~P94(x88302)+~P111(x88302)+~P1(f836(f836(f224(x88302),f72(x88302)),f836(f94(x88302),x88301)))+P1(f836(f836(f224(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),x88301))
% 190.77/190.68 [8831]~P94(x88312)+~P111(x88312)+~P1(f836(f836(f225(x88312),f72(x88312)),f836(f94(x88312),x88311)))+P1(f836(f836(f225(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),x88311))
% 190.77/190.68 [9206]~P111(x92061)+~P94(x92061)+P1(f836(f836(f224(x92061),f72(x92061)),f836(f94(x92061),x92062)))+~P1(f836(f836(f224(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),x92062))
% 190.77/190.68 [9207]~P111(x92071)+~P94(x92071)+P1(f836(f836(f225(x92071),f72(x92071)),f836(f94(x92071),x92072)))+~P1(f836(f836(f225(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),x92072))
% 190.77/190.68 [9741]~P143(x97412)+E(x97411,f72(x97412))+E(x97411,f836(f73(x97412),f72(x97412)))+~E(f836(f836(f234(x97412),x97411),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f72(x97412))
% 190.77/190.68 [10008]~P94(x100081)+~P63(x100081)+~P1(f836(f836(f225(x100081),f2(x100081)),x100082))+P1(f836(f836(f225(x100081),f2(x100081)),f836(f836(f281(x100081),x100082),f836(f94(x100081),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))))
% 190.77/190.68 [10060]~P94(x100601)+~P63(x100601)+P1(f836(f836(f225(x100601),f2(x100601)),x100602))+~P1(f836(f836(f225(x100601),f2(x100601)),f836(f836(f281(x100601),x100602),f836(f94(x100601),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))))
% 190.77/190.68 [10354]~P128(x103542)+E(x103541,f2(a1))+P1(f836(f836(f225(a1),x103541),f2(a1)))+E(f836(f836(f247(a1,a1,x103542),f836(f836(f7(a1,f906(a1,f906(x103542,x103542)),f906(a1,x103542)),f836(f836(f8(f906(f906(x103542,x103542),x103542),f906(f906(a1,f906(x103542,x103542)),f906(a1,x103542)),a1),f8(f906(x103542,x103542),x103542,a1)),f836(f836(f8(x103542,f906(f906(x103542,x103542),x103542),a1),f80(x103542,x103542)),f93(x103542)))),f836(f836(f7(a1,f906(x103542,x103542),f906(x103542,x103542)),f836(f836(f8(f906(x103542,f906(x103542,x103542)),f906(f906(x103542,x103542),f906(x103542,x103542)),a1),f18(x103542,x103542,x103542)),f836(f836(f7(a1,f906(x103542,x103542),f906(x103542,f906(x103542,x103542))),f836(f836(f8(f906(x103542,f906(x103542,x103542)),f906(f906(x103542,x103542),f906(x103542,f906(x103542,x103542))),a1),f8(x103542,f906(x103542,x103542),x103542)),f836(f836(f8(a895,f906(x103542,f906(x103542,x103542)),a1),f86(x103542)),f836(f836(f7(a1,a1,a895),a314),f2(a1))))),f836(f836(f18(x103542,x103542,x103542),f74(x103542)),f5(x103542))))),f836(f836(f7(x103542,x103542,x103542),f836(f836(f8(x103542,f906(x103542,x103542),x103542),f74(x103542)),f836(f836(f18(x103542,x103542,x103542),f74(x103542)),f5(x103542)))),f72(x103542))))),f42(x103541,f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))),f836(f93(x103542),x103541))
% 190.77/190.68 [5390]~P37(x53901,x53903)+~P51(x53901,x53903)+~P52(x53901,x53902,x53903)+P8(x53901,x53902,x53903)
% 190.77/190.68 [4926]~P92(x49263)+~P94(x49263)+E(x49261,x49262)+~E(f836(f94(x49263),x49261),f836(f94(x49263),x49262))
% 190.77/190.68 [5400]~P49(x54001,x54002)+~P50(x54001,x54002)+P15(x54001,x54002)+~P1(f836(f836(x54002,x54003),x54003))
% 190.77/190.68 [5907]P15(x59072,x59071)+E(f836(x59071,f783(x59071)),f836(x59071,f784(x59071)))+P1(f836(f836(x59071,f783(x59071)),f784(x59071)))+~P1(f836(f836(x59071,x59073),x59073))
% 190.77/190.68 [6114]~P1(f836(x61141,x61142))+~P1(f836(x61141,x61143))+~P1(f836(f836(f224(a899),x61143),f377(x61142,x61141)))+P1(f836(x61141,f2(a899)))
% 190.77/190.68 [6181]P15(x61811,x61812)+P1(f836(f836(x61812,f783(x61812)),f783(x61812)))+P1(f836(f836(x61812,f783(x61812)),f784(x61812)))+~P1(f836(f836(x61812,x61813),x61813))
% 190.77/190.68 [6182]P15(x61821,x61822)+P1(f836(f836(x61822,f783(x61822)),f784(x61822)))+P1(f836(f836(x61822,f784(x61822)),f784(x61822)))+~P1(f836(f836(x61822,x61823),x61823))
% 190.77/190.68 [6548]P147(x65482,x65481,x65483)+E(x65481,f2(a1))+P1(f836(f836(f224(a1),f2(a1)),f841(x65483,x65481,x65482)))+P1(f836(f836(f225(a1),x65481),f2(a1)))
% 190.77/190.68 [6549]P148(x65492,x65491,x65493)+E(x65491,f2(a1))+P1(f836(f836(f224(a1),f2(a1)),f846(x65493,x65491,x65492)))+P1(f836(f836(f225(a1),x65491),f2(a1)))
% 190.77/190.68 [6678]P147(x66781,x66782,x66783)+~P1(f836(x66781,x66783))+P1(f836(f836(f224(a1),f2(a1)),f841(x66783,x66782,x66781)))+P1(f836(f836(f225(a1),x66782),f2(a1)))
% 190.77/190.68 [6704]P148(x67041,x67042,x67043)+P1(f836(f836(f224(a1),f2(a1)),f846(x67043,x67042,x67041)))+~P1(f836(x67041,f2(a1)))+P1(f836(f836(f225(a1),x67042),f2(a1)))
% 190.77/190.68 [6736]P147(x67362,x67361,x67363)+E(x67361,f2(a1))+~P1(f836(x67362,f841(x67363,x67361,x67362)))+P1(f836(f836(f225(a1),x67361),f2(a1)))
% 190.77/190.68 [6737]P148(x67372,x67371,x67373)+E(x67371,f2(a1))+~P1(f836(x67372,f847(x67373,x67371,x67372)))+P1(f836(f836(f225(a1),x67371),f2(a1)))
% 190.77/190.68 [6840]~P108(x68401)+~P5(x68401)+~P1(f836(f836(f225(x68401),x68402),f32(x68401,x68403)))+P1(f836(f836(f225(x68401),x68402),f579(x68403,x68402,x68401)))
% 190.77/190.68 [6850]P147(x68501,x68502,x68503)+~P1(f836(x68501,x68503))+~P1(f836(x68501,f841(x68503,x68502,x68501)))+P1(f836(f836(f225(a1),x68502),f2(a1)))
% 190.77/190.68 [6882]P148(x68821,x68822,x68823)+~P1(f836(x68821,f847(x68823,x68822,x68821)))+~P1(f836(x68821,f2(a1)))+P1(f836(f836(f225(a1),x68822),f2(a1)))
% 190.77/190.68 [7135]P147(x71352,x71351,x71353)+E(x71351,f2(a1))+P1(f836(f836(f224(a1),f2(a1)),f841(x71353,x71351,x71352)))+P1(f836(f836(f225(a1),x71351),f840(x71353,x71351,x71352)))
% 190.77/190.68 [7136]P148(x71362,x71361,x71363)+E(x71361,f2(a1))+P1(f836(f836(f224(a1),f2(a1)),f846(x71363,x71361,x71362)))+P1(f836(f836(f225(a1),x71361),f845(x71363,x71361,x71362)))
% 190.77/190.68 [7256]P147(x72561,x72562,x72563)+~P1(f836(x72561,x72563))+P1(f836(f836(f224(a1),f2(a1)),f841(x72563,x72562,x72561)))+P1(f836(f836(f225(a1),x72562),f840(x72563,x72562,x72561)))
% 190.77/190.68 [7277]P148(x72771,x72772,x72773)+P1(f836(f836(f224(a1),f2(a1)),f846(x72773,x72772,x72771)))+P1(f836(f836(f225(a1),x72772),f845(x72773,x72772,x72771)))+~P1(f836(x72771,f2(a1)))
% 190.77/190.68 [7308]P147(x73082,x73081,x73083)+E(x73081,f2(a1))+~P1(f836(x73082,f841(x73083,x73081,x73082)))+P1(f836(f836(f225(a1),x73081),f840(x73083,x73081,x73082)))
% 190.77/190.68 [7309]P148(x73092,x73091,x73093)+E(x73091,f2(a1))+~P1(f836(x73092,f847(x73093,x73091,x73092)))+P1(f836(f836(f225(a1),x73091),f845(x73093,x73091,x73092)))
% 190.77/190.68 [7353]P147(x73532,x73531,x73533)+E(x73531,f2(a1))+P1(f836(f836(f224(a1),f2(a1)),f841(x73533,x73531,x73532)))+~P1(f836(x73532,f840(x73533,x73531,x73532)))
% 190.77/190.68 [7354]P148(x73542,x73541,x73543)+E(x73541,f2(a1))+P1(f836(f836(f224(a1),f2(a1)),f846(x73543,x73541,x73542)))+~P1(f836(x73542,f848(x73543,x73541,x73542)))
% 190.77/190.68 [7451]P147(x74511,x74512,x74513)+~P1(f836(x74511,x74513))+~P1(f836(x74511,f841(x74513,x74512,x74511)))+P1(f836(f836(f225(a1),x74512),f840(x74513,x74512,x74511)))
% 190.77/190.68 [7466]P148(x74661,x74662,x74663)+~P1(f836(x74661,f847(x74663,x74662,x74661)))+P1(f836(f836(f225(a1),x74662),f845(x74663,x74662,x74661)))+~P1(f836(x74661,f2(a1)))
% 190.77/190.68 [7469]P147(x74691,x74692,x74693)+~P1(f836(x74691,x74693))+P1(f836(f836(f224(a1),f2(a1)),f841(x74693,x74692,x74691)))+~P1(f836(x74691,f840(x74693,x74692,x74691)))
% 190.77/190.68 [7486]P148(x74861,x74862,x74863)+P1(f836(f836(f224(a1),f2(a1)),f846(x74863,x74862,x74861)))+~P1(f836(x74861,f848(x74863,x74862,x74861)))+~P1(f836(x74861,f2(a1)))
% 190.77/190.68 [7509]P147(x75092,x75091,x75093)+E(x75091,f2(a1))+~P1(f836(x75092,f841(x75093,x75091,x75092)))+~P1(f836(x75092,f840(x75093,x75091,x75092)))
% 190.77/190.68 [7510]P148(x75102,x75101,x75103)+E(x75101,f2(a1))+~P1(f836(x75102,f847(x75103,x75101,x75102)))+~P1(f836(x75102,f848(x75103,x75101,x75102)))
% 190.77/190.68 [7594]P147(x75941,x75942,x75943)+~P1(f836(x75941,x75943))+~P1(f836(x75941,f841(x75943,x75942,x75941)))+~P1(f836(x75941,f840(x75943,x75942,x75941)))
% 190.77/190.68 [7612]P148(x76121,x76122,x76123)+~P1(f836(x76121,f847(x76123,x76122,x76121)))+~P1(f836(x76121,f848(x76123,x76122,x76121)))+~P1(f836(x76121,f2(a1)))
% 190.77/190.68 [7659]P147(x76592,x76591,x76593)+E(x76591,f2(a1))+P1(f836(f836(f224(a1),f2(a1)),f841(x76593,x76591,x76592)))+P1(f836(f836(f224(a1),f840(x76593,x76591,x76592)),f2(a1)))
% 190.77/190.68 [7660]P148(x76602,x76601,x76603)+E(x76601,f2(a1))+P1(f836(f836(f224(a1),f2(a1)),f846(x76603,x76601,x76602)))+P1(f836(f836(f224(a1),f845(x76603,x76601,x76602)),f2(a1)))
% 190.77/190.68 [7661]~P88(x76611)+~P1(f836(f836(f224(x76611),x76613),f2(x76611)))+~P1(f836(f836(f224(x76611),x76612),f2(x76611)))+P1(f836(f836(f224(x76611),f836(f836(f74(x76611),x76612),x76613)),f2(x76611)))
% 190.77/190.68 [7662]~P128(x76621)+~P1(f836(f836(f318(x76621),x76623),f100(x76621)))+~P1(f836(f836(f318(x76621),x76622),f100(x76621)))+P1(f836(f836(f318(x76621),f836(f836(f23(x76621),x76622),x76623)),f100(x76621)))
% 190.77/190.68 [7663]~P128(x76631)+~P1(f836(f836(f318(x76631),x76633),f100(x76631)))+~P1(f836(f836(f318(x76631),x76632),f100(x76631)))+P1(f836(f836(f318(x76631),f836(f836(f74(x76631),x76632),x76633)),f100(x76631)))
% 190.77/190.68 [7664]~P144(x76641)+~P1(f836(f836(f318(x76641),x76643),f176(x76641)))+~P1(f836(f836(f318(x76641),x76642),f176(x76641)))+P1(f836(f836(f318(x76641),f836(f836(f74(x76641),x76642),x76643)),f176(x76641)))
% 190.77/190.68 [7665]~P128(x76651)+~P1(f836(f836(f318(x76651),x76653),f100(x76651)))+~P1(f836(f836(f318(x76651),x76652),f100(x76651)))+P1(f836(f836(f318(x76651),f836(f836(f75(x76651),x76652),x76653)),f100(x76651)))
% 190.77/190.68 [7666]~P144(x76661)+~P1(f836(f836(f318(x76661),x76663),f176(x76661)))+~P1(f836(f836(f318(x76661),x76662),f176(x76661)))+P1(f836(f836(f318(x76661),f836(f836(f75(x76661),x76662),x76663)),f176(x76661)))
% 190.77/190.68 [7667]~P88(x76671)+~P1(f836(f836(f224(x76671),x76673),f2(x76671)))+~P1(f836(f836(f225(x76671),x76672),f2(x76671)))+P1(f836(f836(f225(x76671),f836(f836(f74(x76671),x76672),x76673)),f2(x76671)))
% 190.77/190.68 [7668]~P88(x76681)+~P1(f836(f836(f224(x76681),x76682),f2(x76681)))+~P1(f836(f836(f225(x76681),x76683),f2(x76681)))+P1(f836(f836(f225(x76681),f836(f836(f74(x76681),x76682),x76683)),f2(x76681)))
% 190.77/190.68 [7669]~P88(x76691)+~P1(f836(f836(f225(x76691),x76693),f2(x76691)))+~P1(f836(f836(f225(x76691),x76692),f2(x76691)))+P1(f836(f836(f225(x76691),f836(f836(f74(x76691),x76692),x76693)),f2(x76691)))
% 190.77/190.68 [7696]P147(x76963,x76961,x76962)+E(x76961,f2(a1))+E(f836(f836(f74(a1),f836(f836(f75(a1),x76961),f842(x76962,x76961,x76963))),f841(x76962,x76961,x76963)),x76962)+P1(f836(f836(f225(a1),x76961),f2(a1)))
% 190.77/190.68 [7697]P148(x76973,x76971,x76972)+E(x76971,f2(a1))+E(f836(f836(f74(a1),f836(f836(f75(a1),x76971),f847(x76972,x76971,x76973))),f846(x76972,x76971,x76973)),x76972)+P1(f836(f836(f225(a1),x76971),f2(a1)))
% 190.77/190.68 [7780]P147(x77801,x77802,x77803)+~P1(f836(x77801,x77803))+P1(f836(f836(f224(a1),f2(a1)),f841(x77803,x77802,x77801)))+P1(f836(f836(f224(a1),f840(x77803,x77802,x77801)),f2(a1)))
% 190.77/190.68 [7811]P148(x78111,x78112,x78113)+P1(f836(f836(f224(a1),f2(a1)),f846(x78113,x78112,x78111)))+~P1(f836(x78111,f2(a1)))+P1(f836(f836(f224(a1),f845(x78113,x78112,x78111)),f2(a1)))
% 190.77/190.68 [7820]P147(x78203,x78201,x78202)+~P1(f836(x78203,x78202))+E(f836(f836(f74(a1),f836(f836(f75(a1),x78201),f842(x78202,x78201,x78203))),f841(x78202,x78201,x78203)),x78202)+P1(f836(f836(f225(a1),x78201),f2(a1)))
% 190.77/190.68 [7826]P147(x78262,x78261,x78263)+E(x78261,f2(a1))+~P1(f836(x78262,f841(x78263,x78261,x78262)))+P1(f836(f836(f224(a1),f840(x78263,x78261,x78262)),f2(a1)))
% 190.77/190.68 [7827]P148(x78272,x78271,x78273)+E(x78271,f2(a1))+~P1(f836(x78272,f847(x78273,x78271,x78272)))+P1(f836(f836(f224(a1),f845(x78273,x78271,x78272)),f2(a1)))
% 190.77/190.68 [7832]P148(x78323,x78321,x78322)+E(f836(f836(f74(a1),f836(f836(f75(a1),x78321),f847(x78322,x78321,x78323))),f846(x78322,x78321,x78323)),x78322)+~P1(f836(x78323,f2(a1)))+P1(f836(f836(f225(a1),x78321),f2(a1)))
% 190.77/190.68 [7889]P147(x78891,x78892,x78893)+~P1(f836(x78891,x78893))+~P1(f836(x78891,f841(x78893,x78892,x78891)))+P1(f836(f836(f224(a1),f840(x78893,x78892,x78891)),f2(a1)))
% 190.77/190.68 [7893]P148(x78931,x78932,x78933)+~P1(f836(x78931,f847(x78933,x78932,x78931)))+~P1(f836(x78931,f2(a1)))+P1(f836(f836(f224(a1),f845(x78933,x78932,x78931)),f2(a1)))
% 190.77/190.68 [7961]~P126(x79611)+~P1(f836(f836(f224(x79611),f836(f836(f75(x79611),x79613),x79612)),f2(x79611)))+P1(f836(f836(f224(x79611),x79612),f2(x79611)))+P1(f836(f836(f224(x79611),x79613),f2(x79611)))
% 190.77/190.68 [7962]~P63(x79621)+~P1(f836(f836(f224(x79621),f836(f836(f281(x79621),x79623),x79622)),f2(x79621)))+P1(f836(f836(f224(x79621),x79622),f2(x79621)))+P1(f836(f836(f224(x79621),x79623),f2(x79621)))
% 190.77/190.68 [7963]~P63(x79631)+~P1(f836(f836(f225(x79631),f836(f836(f281(x79631),x79633),x79632)),f2(x79631)))+P1(f836(f836(f225(x79631),x79632),f2(x79631)))+P1(f836(f836(f225(x79631),x79633),f2(x79631)))
% 190.77/190.68 [8076]P147(x80763,x80761,x80762)+E(x80761,f2(a1))+E(f836(f836(f74(a1),f836(f836(f75(a1),x80761),f842(x80762,x80761,x80763))),f841(x80762,x80761,x80763)),x80762)+P1(f836(f836(f225(a1),x80761),f840(x80762,x80761,x80763)))
% 190.77/190.68 [8077]P148(x80773,x80771,x80772)+E(x80771,f2(a1))+E(f836(f836(f74(a1),f836(f836(f75(a1),x80771),f847(x80772,x80771,x80773))),f846(x80772,x80771,x80773)),x80772)+P1(f836(f836(f225(a1),x80771),f845(x80772,x80771,x80773)))
% 190.77/190.68 [8089]P147(x80893,x80891,x80892)+E(x80891,f2(a1))+E(f836(f836(f74(a1),f836(f836(f75(a1),x80891),f843(x80892,x80891,x80893))),f840(x80892,x80891,x80893)),x80892)+P1(f836(f836(f224(a1),f2(a1)),f841(x80892,x80891,x80893)))
% 190.77/190.68 [8090]P148(x80903,x80901,x80902)+E(x80901,f2(a1))+E(f836(f836(f74(a1),f836(f836(f75(a1),x80901),f848(x80902,x80901,x80903))),f845(x80902,x80901,x80903)),x80902)+P1(f836(f836(f224(a1),f2(a1)),f846(x80902,x80901,x80903)))
% 190.77/190.68 [8132]P147(x81323,x81321,x81322)+~P1(f836(x81323,x81322))+E(f836(f836(f74(a1),f836(f836(f75(a1),x81321),f842(x81322,x81321,x81323))),f841(x81322,x81321,x81323)),x81322)+P1(f836(f836(f225(a1),x81321),f840(x81322,x81321,x81323)))
% 190.77/190.68 [8141]P148(x81413,x81411,x81412)+E(f836(f836(f74(a1),f836(f836(f75(a1),x81411),f847(x81412,x81411,x81413))),f846(x81412,x81411,x81413)),x81412)+P1(f836(f836(f225(a1),x81411),f845(x81412,x81411,x81413)))+~P1(f836(x81413,f2(a1)))
% 190.77/190.68 [8147]P147(x81473,x81471,x81472)+~P1(f836(x81473,x81472))+E(f836(f836(f74(a1),f836(f836(f75(a1),x81471),f843(x81472,x81471,x81473))),f840(x81472,x81471,x81473)),x81472)+P1(f836(f836(f224(a1),f2(a1)),f841(x81472,x81471,x81473)))
% 190.77/190.68 [8153]P148(x81533,x81531,x81532)+E(f836(f836(f74(a1),f836(f836(f75(a1),x81531),f848(x81532,x81531,x81533))),f845(x81532,x81531,x81533)),x81532)+P1(f836(f836(f224(a1),f2(a1)),f846(x81532,x81531,x81533)))+~P1(f836(x81533,f2(a1)))
% 190.77/190.68 [8164]P147(x81643,x81641,x81642)+E(x81641,f2(a1))+E(f836(f836(f74(a1),f836(f836(f75(a1),x81641),f842(x81642,x81641,x81643))),f841(x81642,x81641,x81643)),x81642)+~P1(f836(x81643,f840(x81642,x81641,x81643)))
% 190.77/190.68 [8165]P148(x81653,x81651,x81652)+E(x81651,f2(a1))+E(f836(f836(f74(a1),f836(f836(f75(a1),x81651),f847(x81652,x81651,x81653))),f846(x81652,x81651,x81653)),x81652)+~P1(f836(x81653,f848(x81652,x81651,x81653)))
% 190.77/190.68 [8166]P147(x81663,x81661,x81662)+E(x81661,f2(a1))+E(f836(f836(f74(a1),f836(f836(f75(a1),x81661),f843(x81662,x81661,x81663))),f840(x81662,x81661,x81663)),x81662)+~P1(f836(x81663,f841(x81662,x81661,x81663)))
% 190.77/190.68 [8167]P148(x81673,x81671,x81672)+E(x81671,f2(a1))+E(f836(f836(f74(a1),f836(f836(f75(a1),x81671),f848(x81672,x81671,x81673))),f845(x81672,x81671,x81673)),x81672)+~P1(f836(x81673,f847(x81672,x81671,x81673)))
% 190.77/190.68 [8226]P147(x82263,x82261,x82262)+~P1(f836(x82263,x82262))+E(f836(f836(f74(a1),f836(f836(f75(a1),x82261),f842(x82262,x82261,x82263))),f841(x82262,x82261,x82263)),x82262)+~P1(f836(x82263,f840(x82262,x82261,x82263)))
% 190.77/190.68 [8227]P147(x82273,x82271,x82272)+~P1(f836(x82273,x82272))+E(f836(f836(f74(a1),f836(f836(f75(a1),x82271),f843(x82272,x82271,x82273))),f840(x82272,x82271,x82273)),x82272)+~P1(f836(x82273,f841(x82272,x82271,x82273)))
% 190.77/190.68 [8240]P148(x82403,x82401,x82402)+E(f836(f836(f74(a1),f836(f836(f75(a1),x82401),f847(x82402,x82401,x82403))),f846(x82402,x82401,x82403)),x82402)+~P1(f836(x82403,f848(x82402,x82401,x82403)))+~P1(f836(x82403,f2(a1)))
% 190.77/190.68 [8241]P148(x82413,x82411,x82412)+E(f836(f836(f74(a1),f836(f836(f75(a1),x82411),f848(x82412,x82411,x82413))),f845(x82412,x82411,x82413)),x82412)+~P1(f836(x82413,f847(x82412,x82411,x82413)))+~P1(f836(x82413,f2(a1)))
% 190.77/190.68 [8339]P147(x83393,x83391,x83392)+E(x83391,f2(a1))+E(f836(f836(f74(a1),f836(f836(f75(a1),x83391),f842(x83392,x83391,x83393))),f841(x83392,x83391,x83393)),x83392)+P1(f836(f836(f224(a1),f840(x83392,x83391,x83393)),f2(a1)))
% 190.77/190.68 [8340]P148(x83403,x83401,x83402)+E(x83401,f2(a1))+E(f836(f836(f74(a1),f836(f836(f75(a1),x83401),f847(x83402,x83401,x83403))),f846(x83402,x83401,x83403)),x83402)+P1(f836(f836(f224(a1),f845(x83402,x83401,x83403)),f2(a1)))
% 190.77/190.68 [8380]P147(x83803,x83801,x83802)+~P1(f836(x83803,x83802))+E(f836(f836(f74(a1),f836(f836(f75(a1),x83801),f842(x83802,x83801,x83803))),f841(x83802,x83801,x83803)),x83802)+P1(f836(f836(f224(a1),f840(x83802,x83801,x83803)),f2(a1)))
% 190.77/190.68 [8385]P148(x83853,x83851,x83852)+E(f836(f836(f74(a1),f836(f836(f75(a1),x83851),f847(x83852,x83851,x83853))),f846(x83852,x83851,x83853)),x83852)+~P1(f836(x83853,f2(a1)))+P1(f836(f836(f224(a1),f845(x83852,x83851,x83853)),f2(a1)))
% 190.77/190.68 [8520]P147(x85203,x85201,x85202)+E(x85201,f2(a1))+E(f836(f836(f74(a1),f836(f836(f75(a1),x85201),f843(x85202,x85201,x85203))),f840(x85202,x85201,x85203)),x85202)+E(f836(f836(f74(a1),f836(f836(f75(a1),x85201),f842(x85202,x85201,x85203))),f841(x85202,x85201,x85203)),x85202)
% 190.77/190.68 [8521]P148(x85213,x85211,x85212)+E(x85211,f2(a1))+E(f836(f836(f74(a1),f836(f836(f75(a1),x85211),f848(x85212,x85211,x85213))),f845(x85212,x85211,x85213)),x85212)+E(f836(f836(f74(a1),f836(f836(f75(a1),x85211),f847(x85212,x85211,x85213))),f846(x85212,x85211,x85213)),x85212)
% 190.77/190.68 [8541]P147(x85413,x85411,x85412)+~P1(f836(x85413,x85412))+E(f836(f836(f74(a1),f836(f836(f75(a1),x85411),f843(x85412,x85411,x85413))),f840(x85412,x85411,x85413)),x85412)+E(f836(f836(f74(a1),f836(f836(f75(a1),x85411),f842(x85412,x85411,x85413))),f841(x85412,x85411,x85413)),x85412)
% 190.77/190.68 [8552]P148(x85523,x85521,x85522)+E(f836(f836(f74(a1),f836(f836(f75(a1),x85521),f848(x85522,x85521,x85523))),f845(x85522,x85521,x85523)),x85522)+E(f836(f836(f74(a1),f836(f836(f75(a1),x85521),f847(x85522,x85521,x85523))),f846(x85522,x85521,x85523)),x85522)+~P1(f836(x85523,f2(a1)))
% 190.77/190.68 [9214]~P126(x92141)+~E(x92143,f2(x92141))+~E(x92142,f2(x92141))+P1(f836(f836(f224(x92141),f836(f836(f74(x92141),f836(f836(f75(x92141),x92142),x92142)),f836(f836(f75(x92141),x92143),x92143))),f2(x92141)))
% 190.77/190.68 [10295]~P111(x102951)+~E(x102953,f2(x102951))+~E(x102952,f2(x102951))+P1(f836(f836(f224(x102951),f836(f836(f74(x102951),f836(f836(f234(x102951),x102952),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))),f836(f836(f234(x102951),x102953),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))))),f2(x102951)))
% 190.77/190.68 [4874]~E(x48743,x48741)+~P122(x48742)+E(x48741,f2(x48742))+E(f836(f836(f281(x48742),x48743),x48741),f72(x48742))
% 190.77/190.68 [4927]~P100(x49271)+~E(x49273,f178(x49271))+~E(x49272,f178(x49271))+E(f836(f836(f91(x49271),x49272),x49273),f178(x49271))
% 190.77/190.68 [4928]~P103(x49281)+~E(x49283,f232(x49281))+~E(x49282,f232(x49281))+E(f836(f836(f92(x49281),x49282),x49283),f232(x49281))
% 190.77/190.68 [5025]~P122(x50253)+E(x50251,x50252)+E(x50252,f2(x50253))+~E(f836(f836(f281(x50253),x50251),x50252),f72(x50253))
% 190.77/190.68 [5042]~P142(x50422)+E(x50421,f2(x50422))+E(x50423,f2(x50422))+~E(f836(f836(f75(x50422),x50423),x50421),f2(x50422))
% 190.77/190.68 [5044]~P135(x50442)+E(x50441,f2(x50442))+E(x50443,f2(x50442))+~E(f836(f836(f75(x50442),x50443),x50441),f2(x50442))
% 190.77/190.68 [5419]~P120(x54193)+E(x54191,x54192)+E(x54191,f836(f73(x54193),x54192))+~E(f836(f836(f75(x54193),x54191),x54191),f836(f836(f75(x54193),x54192),x54192))
% 190.77/190.68 [5458]~P96(x54581)+E(f836(f73(x54581),x54582),x54583)+~E(f836(f836(f91(x54581),x54582),x54583),f232(x54581))+~E(f836(f836(f92(x54581),x54582),x54583),f178(x54581))
% 190.77/190.68 [5539]~P111(x55393)+E(x55391,x55392)+P1(f836(f836(f225(x55393),x55392),x55391))+P1(f836(f836(f225(x55393),x55391),x55392))
% 190.77/190.68 [5540]~P108(x55403)+E(x55401,x55402)+P1(f836(f836(f225(x55403),x55402),x55401))+P1(f836(f836(f225(x55403),x55401),x55402))
% 190.77/190.68 [5541]~E(x55412,x55413)+~P108(x55411)+P1(f836(f836(f225(x55411),x55412),x55413))+P1(f836(f836(f224(x55411),x55412),x55413))
% 190.77/190.68 [5802]~P109(x58023)+E(x58021,x58022)+~P1(f836(f836(f224(x58023),x58022),x58021))+P1(f836(f836(f225(x58023),x58022),x58021))
% 190.77/190.68 [5804]~P108(x58043)+E(x58041,x58042)+~P1(f836(f836(f224(x58043),x58041),x58042))+P1(f836(f836(f225(x58043),x58041),x58042))
% 190.77/190.68 [5810]~P109(x58103)+E(x58101,x58102)+~P1(f836(f836(f224(x58103),x58101),x58102))+P1(f836(f836(f225(x58103),x58101),x58102))
% 190.77/190.68 [5924]P147(x59241,x59242,x59243)+~P1(f836(x59241,x59243))+P1(f836(f836(f225(a1),x59242),f2(a1)))+P1(f836(f836(f225(a1),f2(a1)),x59242))
% 190.77/190.68 [5978]P148(x59781,x59782,x59783)+~P1(f836(x59781,f2(a1)))+P1(f836(f836(f225(a1),x59782),f2(a1)))+P1(f836(f836(f225(a1),f2(a1)),x59782))
% 190.77/190.68 [5983]~P99(x59831)+E(f836(f836(f91(x59831),x59832),f10(x59831,x59833)),x59832)+~P1(f836(f29(x59831),x59833))+~P1(f836(f836(f318(x59831),x59832),x59833))
% 190.77/190.68 [5984]~P99(x59841)+E(f836(f836(f92(x59841),x59842),f13(x59841,x59843)),x59842)+~P1(f836(f29(x59841),x59843))+~P1(f836(f836(f318(x59841),x59842),x59843))
% 190.77/190.68 [6023]~P108(x60231)+E(f836(f836(f228(x60231),x60232),f14(x60231,x60233)),f14(x60231,x60233))+~P1(f836(f29(x60231),x60233))+~P1(f836(f836(f318(x60231),x60232),x60233))
% 190.77/190.68 [6024]~P108(x60241)+E(f836(f836(f223(x60241),x60242),f15(x60241,x60243)),f15(x60241,x60243))+~P1(f836(f29(x60241),x60243))+~P1(f836(f836(f318(x60241),x60242),x60243))
% 190.77/190.68 [6025]~P99(x60251)+E(f836(f836(f91(x60251),x60252),f13(x60251,x60253)),f13(x60251,x60253))+~P1(f836(f29(x60251),x60253))+~P1(f836(f836(f318(x60251),x60252),x60253))
% 190.77/190.68 [6026]~P99(x60261)+E(f836(f836(f92(x60261),x60262),f10(x60261,x60263)),f10(x60261,x60263))+~P1(f836(f29(x60261),x60263))+~P1(f836(f836(f318(x60261),x60262),x60263))
% 190.77/190.68 [6065]E(x60651,x60652)+~P109(x60653)+~P1(f836(f836(f224(x60653),x60652),x60651))+~P1(f836(f836(f224(x60653),x60651),x60652))
% 190.77/190.68 [6210]~P81(x62101)+P1(f836(f836(f225(x62101),x62103),x62102))+~P1(f836(f836(f224(x62101),x62103),x62102))+P1(f836(f836(f224(x62101),x62102),x62103))
% 190.77/190.68 [6238]~P108(x62381)+~P1(f836(f29(x62381),x62383))+P1(f836(f836(f224(x62381),x62382),f15(x62381,x62383)))+~P1(f836(f836(f318(x62381),x62382),x62383))
% 190.77/190.68 [6286]~P108(x62861)+E(f836(f836(f228(x62861),x62862),f12(x62861,f223(x62861),x62863)),x62862)+~P1(f836(f29(x62861),x62863))+~P1(f836(f836(f318(x62861),x62862),x62863))
% 190.77/190.68 [6287]~P108(x62871)+E(f836(f836(f223(x62871),x62872),f11(x62871,f228(x62871),x62873)),x62872)+~P1(f836(f29(x62871),x62873))+~P1(f836(f836(f318(x62871),x62872),x62873))
% 190.77/190.68 [6434]E(x64341,x64342)+~E(f836(f836(f23(a899),x64341),x64343),f836(f836(f23(a899),x64342),x64343))+~P1(f836(f836(f224(a899),x64343),x64341))+~P1(f836(f836(f224(a899),x64343),x64342))
% 190.77/190.68 [6461]~P108(x64611)+~P1(f836(f29(x64611),x64612))+~P1(f836(f836(f318(x64611),x64613),x64612))+P1(f836(f836(f224(x64611),f14(x64611,x64612)),x64613))
% 190.77/190.68 [6526]P147(x65262,x65261,x65263)+E(x65261,f2(a1))+P1(f836(f836(f225(a1),x65261),f840(x65263,x65261,x65262)))+P1(f836(f836(f225(a1),f2(a1)),x65261))
% 190.77/190.68 [6527]P148(x65272,x65271,x65273)+E(x65271,f2(a1))+P1(f836(f836(f225(a1),x65271),f845(x65273,x65271,x65272)))+P1(f836(f836(f225(a1),f2(a1)),x65271))
% 190.77/190.68 [6528]~P108(x65281)+E(f836(f836(f228(x65281),x65282),f11(x65281,f228(x65281),x65283)),f11(x65281,f228(x65281),x65283))+~P1(f836(f29(x65281),x65283))+~P1(f836(f836(f318(x65281),x65282),x65283))
% 190.77/190.68 [6529]~P108(x65291)+E(f836(f836(f223(x65291),x65292),f12(x65291,f223(x65291),x65293)),f12(x65291,f223(x65291),x65293))+~P1(f836(f29(x65291),x65293))+~P1(f836(f836(f318(x65291),x65292),x65293))
% 190.77/190.68 [6535]~P1(f836(x65351,x65352))+P1(f836(x65351,f537(x65352,x65351,x65353)))+P1(f836(x65351,f2(a899)))+~P1(f836(f836(f225(a899),x65352),x65353))
% 190.77/190.68 [6596]~P1(f836(x65961,x65962))+~P1(f836(f29(x65963),x65962))+P1(f836(x65961,f396(x65961,x65962,x65963)))+P1(f836(x65961,f178(f906(x65963,a895))))
% 190.77/190.68 [6609]~P111(x66091)+~P94(x66091)+P1(f836(f836(f224(x66091),f836(f94(x66091),x66092)),f836(f94(x66091),x66093)))+~P1(f836(f836(f224(a1),x66092),x66093))
% 190.77/190.68 [6610]~P111(x66101)+~P94(x66101)+P1(f836(f836(f225(x66101),f836(f94(x66101),x66102)),f836(f94(x66101),x66103)))+~P1(f836(f836(f225(a1),x66102),x66103))
% 190.77/190.68 [6613]~P1(f836(x66131,x66133))+~P1(f836(f29(x66132),x66133))+P1(f836(f29(x66132),f396(x66131,x66133,x66132)))+P1(f836(x66131,f178(f906(x66132,a895))))
% 190.77/190.68 [6647]P147(x66471,x66472,x66473)+~P1(f836(x66471,x66473))+P1(f836(f836(f225(a1),x66472),f840(x66473,x66472,x66471)))+P1(f836(f836(f225(a1),f2(a1)),x66472))
% 190.77/190.68 [6685]P148(x66851,x66852,x66853)+P1(f836(f836(f225(a1),x66852),f845(x66853,x66852,x66851)))+~P1(f836(x66851,f2(a1)))+P1(f836(f836(f225(a1),f2(a1)),x66852))
% 190.77/190.68 [6715]~P107(x67151)+~P93(x67151)+E(f836(f836(f228(x67151),f836(f94(x67151),x67152)),f836(f94(x67151),x67153)),f836(f94(x67151),x67153))+P1(f836(f836(f224(x67151),f836(f94(x67151),x67152)),f836(f94(x67151),x67153)))
% 190.77/190.68 [6716]~P107(x67161)+~P93(x67161)+E(f836(f836(f223(x67161),f836(f94(x67161),x67162)),f836(f94(x67161),x67163)),f836(f94(x67161),x67162))+P1(f836(f836(f224(x67161),f836(f94(x67161),x67162)),f836(f94(x67161),x67163)))
% 190.77/190.68 [6776]P147(x67762,x67761,x67763)+E(x67761,f2(a1))+~P1(f836(x67762,f840(x67763,x67761,x67762)))+P1(f836(f836(f225(a1),f2(a1)),x67761))
% 190.77/190.68 [6777]P148(x67772,x67771,x67773)+E(x67771,f2(a1))+~P1(f836(x67772,f848(x67773,x67771,x67772)))+P1(f836(f836(f225(a1),f2(a1)),x67771))
% 190.77/190.68 [6781]P1(f836(x67811,x67812))+~P1(f836(f29(x67813),x67812))+P1(f836(x67811,f517(x67811,x67812,x67813)))+~P1(f836(x67811,f178(f906(x67813,a895))))
% 190.77/190.68 [6802]P1(f836(x68021,x68022))+P1(f836(f29(x68023),f517(x68021,x68022,x68023)))+~P1(f836(f29(x68023),x68022))+~P1(f836(x68021,f178(f906(x68023,a895))))
% 190.77/190.68 [6871]P147(x68711,x68712,x68713)+~P1(f836(x68711,x68713))+~P1(f836(x68711,f840(x68713,x68712,x68711)))+P1(f836(f836(f225(a1),f2(a1)),x68712))
% 190.77/190.68 [6901]P148(x69011,x69012,x69013)+~P1(f836(x69011,f848(x69013,x69012,x69011)))+~P1(f836(x69011,f2(a1)))+P1(f836(f836(f225(a1),f2(a1)),x69012))
% 190.77/190.68 [7011]~P94(x70113)+~P111(x70113)+~P1(f836(f836(f224(x70113),f836(f94(x70113),x70111)),f836(f94(x70113),x70112)))+P1(f836(f836(f224(a1),x70111),x70112))
% 190.77/190.68 [7012]~P94(x70123)+~P111(x70123)+~P1(f836(f836(f225(x70123),f836(f94(x70123),x70121)),f836(f94(x70123),x70122)))+P1(f836(f836(f225(a1),x70121),x70122))
% 190.77/190.68 [7040]~P108(x70401)+~P13(x70401,x70403)+P13(x70401,f836(f836(f141(x70401),x70402),x70403))+~P1(f836(f836(f224(x70401),x70402),f687(x70403,x70402,x70401)))
% 190.77/190.68 [7041]~P108(x70411)+~P13(x70411,x70413)+P13(x70411,f836(f836(f141(x70411),x70412),x70413))+~P1(f836(f836(f224(x70411),x70412),f689(x70413,x70412,x70411)))
% 190.77/190.68 [7042]~P108(x70421)+~P13(x70421,x70423)+P13(x70421,f836(f836(f141(x70421),x70422),x70423))+~P1(f836(f836(f224(x70421),x70422),f730(x70422,x70423,x70421)))
% 190.77/190.68 [7129]P147(x71292,x71291,x71293)+E(x71291,f2(a1))+P1(f836(f836(f225(a1),x71291),f2(a1)))+P1(f836(f836(f225(a1),f841(x71293,x71291,x71292)),x71291))
% 190.77/190.68 [7130]P148(x71302,x71301,x71303)+E(x71301,f2(a1))+P1(f836(f836(f225(a1),x71301),f2(a1)))+P1(f836(f836(f225(a1),f846(x71303,x71301,x71302)),x71301))
% 190.77/190.68 [7166]P147(x71662,x71661,x71663)+E(x71661,f2(a1))+P1(f836(f836(f224(a1),f840(x71663,x71661,x71662)),f2(a1)))+P1(f836(f836(f225(a1),f2(a1)),x71661))
% 190.77/190.68 [7167]P148(x71672,x71671,x71673)+E(x71671,f2(a1))+P1(f836(f836(f224(a1),f845(x71673,x71671,x71672)),f2(a1)))+P1(f836(f836(f225(a1),f2(a1)),x71671))
% 190.77/190.68 [7192]~P108(x71921)+~P13(x71921,x71923)+E(f836(f836(f138(x71921,x71921,f5(x71921)),x71922),f160(x71921,x71922,x71923)),x71923)+~P1(f836(f836(f318(x71921),x71922),f836(f162(x71921),x71923)))
% 190.77/190.68 [7239]P147(x72391,x72392,x72393)+~P1(f836(x72391,x72393))+P1(f836(f836(f225(a1),x72392),f2(a1)))+P1(f836(f836(f225(a1),f841(x72393,x72392,x72391)),x72392))
% 190.77/190.68 [7245]~P107(x72451)+~P93(x72451)+E(f836(f836(f228(x72451),f836(f94(x72451),x72452)),f836(f94(x72451),x72453)),f836(f94(x72451),x72452))+~P1(f836(f836(f224(x72451),f836(f94(x72451),x72452)),f836(f94(x72451),x72453)))
% 190.77/190.68 [7246]~P107(x72461)+~P93(x72461)+E(f836(f836(f223(x72461),f836(f94(x72461),x72462)),f836(f94(x72461),x72463)),f836(f94(x72461),x72463))+~P1(f836(f836(f224(x72461),f836(f94(x72461),x72462)),f836(f94(x72461),x72463)))
% 190.77/190.68 [7260]P148(x72601,x72602,x72603)+~P1(f836(x72601,f2(a1)))+P1(f836(f836(f225(a1),x72602),f2(a1)))+P1(f836(f836(f225(a1),f846(x72603,x72602,x72601)),x72602))
% 190.77/190.68 [7270]P147(x72701,x72702,x72703)+~P1(f836(x72701,x72703))+P1(f836(f836(f224(a1),f840(x72703,x72702,x72701)),f2(a1)))+P1(f836(f836(f225(a1),f2(a1)),x72702))
% 190.77/190.68 [7294]P148(x72941,x72942,x72943)+~P1(f836(x72941,f2(a1)))+P1(f836(f836(f224(a1),f845(x72943,x72942,x72941)),f2(a1)))+P1(f836(f836(f225(a1),f2(a1)),x72942))
% 190.77/190.68 [7320]~P1(f836(x73201,x73202))+P1(f836(x73201,f2(a899)))+~P1(f836(f836(f225(a899),x73202),x73203))+P1(f836(f836(f225(a899),f537(x73202,x73201,x73203)),x73203))
% 190.77/190.68 [7337]~P108(x73371)+~P13(x73371,x73373)+P13(x73371,f836(f836(f141(x73371),x73372),x73373))+P1(f836(f836(f318(x73371),f687(x73373,x73372,x73371)),f836(f162(x73371),x73373)))
% 190.77/190.68 [7338]~P108(x73381)+~P13(x73381,x73383)+P13(x73381,f836(f836(f141(x73381),x73382),x73383))+P1(f836(f836(f318(x73381),f689(x73383,x73382,x73381)),f836(f162(x73381),x73383)))
% 190.77/190.68 [7339]~P108(x73391)+~P13(x73391,x73393)+P13(x73391,f836(f836(f141(x73391),x73392),x73393))+P1(f836(f836(f318(x73391),f730(x73392,x73393,x73391)),f836(f162(x73391),x73393)))
% 190.77/190.68 [7455]~P108(x74551)+~P5(x74551)+~P1(f836(f836(f225(x74551),x74553),f32(x74551,x74552)))+P1(f836(f836(f318(x74551),f579(x74552,x74553,x74551)),x74552))
% 190.77/190.68 [7610]~P108(x76101)+~P5(x76101)+~P1(f836(f836(f225(x76101),f33(x76101,x76103)),x76102))+P1(f836(f836(f318(x76101),f591(x76102,x76103,x76101)),x76103))
% 190.77/190.68 [7611]~P108(x76111)+~P5(x76111)+~P1(f836(f836(f225(x76111),f33(x76111,x76113)),x76112))+P1(f836(f836(f225(x76111),f591(x76112,x76113,x76111)),x76112))
% 190.77/190.68 [7624]P147(x76242,x76241,x76243)+E(x76241,f2(a1))+P1(f836(f836(f225(a1),x76241),f840(x76243,x76241,x76242)))+P1(f836(f836(f225(a1),f841(x76243,x76241,x76242)),x76241))
% 190.77/190.68 [7625]P148(x76252,x76251,x76253)+E(x76251,f2(a1))+P1(f836(f836(f225(a1),x76251),f845(x76253,x76251,x76252)))+P1(f836(f836(f225(a1),f846(x76253,x76251,x76252)),x76251))
% 190.77/190.68 [7719]P147(x77193,x77191,x77192)+E(x77191,f2(a1))+E(f836(f836(f74(a1),f836(f836(f75(a1),x77191),f843(x77192,x77191,x77193))),f840(x77192,x77191,x77193)),x77192)+P1(f836(f836(f225(a1),f2(a1)),x77191))
% 190.77/190.68 [7720]P148(x77203,x77201,x77202)+E(x77201,f2(a1))+E(f836(f836(f74(a1),f836(f836(f75(a1),x77201),f848(x77202,x77201,x77203))),f845(x77202,x77201,x77203)),x77202)+P1(f836(f836(f225(a1),f2(a1)),x77201))
% 190.77/190.68 [7722]~P126(x77221)+~P1(f836(f836(f224(x77221),x77223),f2(x77221)))+P1(f836(f836(f224(x77221),f836(f836(f75(x77221),x77222),x77223)),f2(x77221)))+~P1(f836(f836(f224(x77221),f2(x77221)),x77222))
% 190.77/190.68 [7723]~P126(x77231)+~P1(f836(f836(f224(x77231),x77232),f2(x77231)))+P1(f836(f836(f224(x77231),f836(f836(f75(x77231),x77232),x77233)),f2(x77231)))+~P1(f836(f836(f224(x77231),f2(x77231)),x77233))
% 190.77/190.68 [7725]~P136(x77251)+~P1(f836(f836(f224(x77251),x77253),f2(x77251)))+P1(f836(f836(f224(x77251),f836(f836(f75(x77251),x77252),x77253)),f2(x77251)))+~P1(f836(f836(f224(x77251),f2(x77251)),x77252))
% 190.77/190.68 [7727]~P136(x77271)+~P1(f836(f836(f224(x77271),x77272),f2(x77271)))+P1(f836(f836(f224(x77271),f836(f836(f75(x77271),x77272),x77273)),f2(x77271)))+~P1(f836(f836(f224(x77271),f2(x77271)),x77273))
% 190.77/190.68 [7728]~P63(x77281)+~P1(f836(f836(f224(x77281),x77283),f2(x77281)))+P1(f836(f836(f224(x77281),f836(f836(f281(x77281),x77282),x77283)),f2(x77281)))+~P1(f836(f836(f224(x77281),f2(x77281)),x77282))
% 190.77/190.68 [7729]~P63(x77291)+~P1(f836(f836(f224(x77291),x77292),f2(x77291)))+P1(f836(f836(f224(x77291),f836(f836(f281(x77291),x77292),x77293)),f2(x77291)))+~P1(f836(f836(f224(x77291),f2(x77291)),x77293))
% 190.77/190.68 [7730]~P64(x77301)+~P1(f836(f836(f224(x77301),x77302),f2(x77301)))+P1(f836(f836(f224(x77301),f836(f836(f281(x77301),x77302),x77303)),f2(x77301)))+~P1(f836(f836(f225(x77301),f2(x77301)),x77303))
% 190.77/190.68 [7731]~P64(x77311)+~P1(f836(f836(f225(x77311),x77313),f2(x77311)))+P1(f836(f836(f224(x77311),f836(f836(f281(x77311),x77312),x77313)),f2(x77311)))+~P1(f836(f836(f224(x77311),f2(x77311)),x77312))
% 190.77/190.68 [7733]~P134(x77331)+~P1(f836(f836(f225(x77331),x77333),f2(x77331)))+P1(f836(f836(f225(x77331),f836(f836(f75(x77331),x77332),x77333)),f2(x77331)))+~P1(f836(f836(f225(x77331),f2(x77331)),x77332))
% 190.77/190.68 [7734]~P134(x77341)+~P1(f836(f836(f225(x77341),x77342),f2(x77341)))+P1(f836(f836(f225(x77341),f836(f836(f75(x77341),x77342),x77343)),f2(x77341)))+~P1(f836(f836(f225(x77341),f2(x77341)),x77343))
% 190.77/190.68 [7735]~P63(x77351)+~P1(f836(f836(f225(x77351),x77353),f2(x77351)))+P1(f836(f836(f225(x77351),f836(f836(f281(x77351),x77352),x77353)),f2(x77351)))+~P1(f836(f836(f225(x77351),f2(x77351)),x77352))
% 190.77/190.68 [7736]~P63(x77361)+~P1(f836(f836(f225(x77361),x77362),f2(x77361)))+P1(f836(f836(f225(x77361),f836(f836(f281(x77361),x77362),x77363)),f2(x77361)))+~P1(f836(f836(f225(x77361),f2(x77361)),x77363))
% 190.77/190.68 [7737]~P64(x77371)+~P1(f836(f836(f225(x77371),x77373),f2(x77371)))+P1(f836(f836(f225(x77371),f836(f836(f281(x77371),x77372),x77373)),f2(x77371)))+~P1(f836(f836(f225(x77371),f2(x77371)),x77372))
% 190.77/190.68 [7738]~P64(x77381)+~P1(f836(f836(f225(x77381),x77382),f2(x77381)))+P1(f836(f836(f225(x77381),f836(f836(f281(x77381),x77382),x77383)),f2(x77381)))+~P1(f836(f836(f225(x77381),f2(x77381)),x77383))
% 190.77/190.68 [7753]P147(x77531,x77532,x77533)+~P1(f836(x77531,x77533))+P1(f836(f836(f225(a1),x77532),f840(x77533,x77532,x77531)))+P1(f836(f836(f225(a1),f841(x77533,x77532,x77531)),x77532))
% 190.77/190.68 [7766]P148(x77661,x77662,x77663)+P1(f836(f836(f225(a1),x77662),f845(x77663,x77662,x77661)))+~P1(f836(x77661,f2(a1)))+P1(f836(f836(f225(a1),f846(x77663,x77662,x77661)),x77662))
% 190.77/190.68 [7818]P147(x78182,x78181,x78183)+E(x78181,f2(a1))+~P1(f836(x78182,f840(x78183,x78181,x78182)))+P1(f836(f836(f225(a1),f841(x78183,x78181,x78182)),x78181))
% 190.77/190.68 [7819]P148(x78192,x78191,x78193)+E(x78191,f2(a1))+~P1(f836(x78192,f848(x78193,x78191,x78192)))+P1(f836(f836(f225(a1),f846(x78193,x78191,x78192)),x78191))
% 190.77/190.68 [7829]P147(x78293,x78291,x78292)+~P1(f836(x78293,x78292))+E(f836(f836(f74(a1),f836(f836(f75(a1),x78291),f843(x78292,x78291,x78293))),f840(x78292,x78291,x78293)),x78292)+P1(f836(f836(f225(a1),f2(a1)),x78291))
% 190.77/190.68 [7844]P148(x78443,x78441,x78442)+E(f836(f836(f74(a1),f836(f836(f75(a1),x78441),f848(x78442,x78441,x78443))),f845(x78442,x78441,x78443)),x78442)+~P1(f836(x78443,f2(a1)))+P1(f836(f836(f225(a1),f2(a1)),x78441))
% 190.77/190.68 [7872]~P1(f836(x78721,x78723))+~P1(f836(f29(x78722),x78723))+P1(f836(f836(f318(x78722),f398(x78721,x78723,x78722)),f396(x78721,x78723,x78722)))+P1(f836(x78721,f178(f906(x78722,a895))))
% 190.77/190.68 [7884]P147(x78841,x78842,x78843)+~P1(f836(x78841,x78843))+~P1(f836(x78841,f840(x78843,x78842,x78841)))+P1(f836(f836(f225(a1),f841(x78843,x78842,x78841)),x78842))
% 190.77/190.68 [7890]P148(x78901,x78902,x78903)+~P1(f836(x78901,f848(x78903,x78902,x78901)))+~P1(f836(x78901,f2(a1)))+P1(f836(f836(f225(a1),f846(x78903,x78902,x78901)),x78902))
% 190.77/190.68 [7992]~P126(x79921)+~P1(f836(f836(f224(x79921),f836(f836(f75(x79921),x79923),x79922)),f2(x79921)))+P1(f836(f836(f224(x79921),x79922),f2(x79921)))+P1(f836(f836(f224(x79921),f2(x79921)),x79922))
% 190.77/190.68 [7993]~P126(x79931)+~P1(f836(f836(f224(x79931),f836(f836(f75(x79931),x79932),x79933)),f2(x79931)))+P1(f836(f836(f224(x79931),x79932),f2(x79931)))+P1(f836(f836(f224(x79931),f2(x79931)),x79932))
% 190.77/190.68 [7994]~P63(x79941)+~P1(f836(f836(f224(x79941),f836(f836(f281(x79941),x79943),x79942)),f2(x79941)))+P1(f836(f836(f224(x79941),x79942),f2(x79941)))+P1(f836(f836(f224(x79941),f2(x79941)),x79942))
% 190.77/190.68 [7995]~P63(x79951)+~P1(f836(f836(f224(x79951),f836(f836(f281(x79951),x79952),x79953)),f2(x79951)))+P1(f836(f836(f224(x79951),x79952),f2(x79951)))+P1(f836(f836(f224(x79951),f2(x79951)),x79952))
% 190.77/190.68 [7996]~P63(x79961)+~P1(f836(f836(f225(x79961),f836(f836(f281(x79961),x79963),x79962)),f2(x79961)))+P1(f836(f836(f225(x79961),x79962),f2(x79961)))+P1(f836(f836(f225(x79961),f2(x79961)),x79962))
% 190.77/190.68 [7997]~P63(x79971)+~P1(f836(f836(f225(x79971),f836(f836(f281(x79971),x79972),x79973)),f2(x79971)))+P1(f836(f836(f225(x79971),x79972),f2(x79971)))+P1(f836(f836(f225(x79971),f2(x79971)),x79972))
% 190.77/190.68 [8021]~P126(x80211)+~P1(f836(f836(f224(x80211),f836(f836(f75(x80211),x80212),x80213)),f2(x80211)))+P1(f836(f836(f224(x80211),f2(x80211)),x80212))+P1(f836(f836(f224(x80211),f2(x80211)),x80213))
% 190.77/190.68 [8022]~P63(x80221)+~P1(f836(f836(f224(x80221),f836(f836(f281(x80221),x80222),x80223)),f2(x80221)))+P1(f836(f836(f224(x80221),f2(x80221)),x80222))+P1(f836(f836(f224(x80221),f2(x80221)),x80223))
% 190.77/190.68 [8023]~P63(x80231)+~P1(f836(f836(f225(x80231),f836(f836(f281(x80231),x80232),x80233)),f2(x80231)))+P1(f836(f836(f225(x80231),f2(x80231)),x80232))+P1(f836(f836(f225(x80231),f2(x80231)),x80233))
% 190.77/190.68 [8045]P147(x80452,x80451,x80453)+E(x80451,f2(a1))+P1(f836(f836(f224(a1),f840(x80453,x80451,x80452)),f2(a1)))+P1(f836(f836(f225(a1),f841(x80453,x80451,x80452)),x80451))
% 190.77/190.68 [8046]P148(x80462,x80461,x80463)+E(x80461,f2(a1))+P1(f836(f836(f224(a1),f845(x80463,x80461,x80462)),f2(a1)))+P1(f836(f836(f225(a1),f846(x80463,x80461,x80462)),x80461))
% 190.77/190.68 [8053]~P110(x80531)+~P1(f836(f836(f225(x80531),x80532),f72(x80531)))+P1(f836(f836(f225(x80531),f836(f836(f234(x80531),x80532),f836(a102,x80533))),f72(x80531)))+~P1(f836(f836(f225(x80531),f2(x80531)),x80532))
% 190.77/190.68 [8106]~P108(x81061)+~E(x81063,f103(x81061))+~P13(x81061,f836(f158(x81061),x81063))+E(f836(f132(x81061,x81061,f836(f7(x81061,x81061,x81061),f223(x81061)),x81062),f836(f158(x81061),x81063)),x81062)
% 190.77/190.68 [8109]P147(x81091,x81092,x81093)+~P1(f836(x81091,x81093))+P1(f836(f836(f224(a1),f840(x81093,x81092,x81091)),f2(a1)))+P1(f836(f836(f225(a1),f841(x81093,x81092,x81091)),x81092))
% 190.77/190.68 [8116]P148(x81161,x81162,x81163)+~P1(f836(x81161,f2(a1)))+P1(f836(f836(f224(a1),f845(x81163,x81162,x81161)),f2(a1)))+P1(f836(f836(f225(a1),f846(x81163,x81162,x81161)),x81162))
% 190.77/190.68 [8334]P147(x83343,x83341,x83342)+E(x83341,f2(a1))+E(f836(f836(f74(a1),f836(f836(f75(a1),x83341),f843(x83342,x83341,x83343))),f840(x83342,x83341,x83343)),x83342)+P1(f836(f836(f225(a1),f841(x83342,x83341,x83343)),x83341))
% 190.77/190.68 [8335]P148(x83353,x83351,x83352)+E(x83351,f2(a1))+E(f836(f836(f74(a1),f836(f836(f75(a1),x83351),f848(x83352,x83351,x83353))),f845(x83352,x83351,x83353)),x83352)+P1(f836(f836(f225(a1),f846(x83352,x83351,x83353)),x83351))
% 190.77/190.68 [8371]P147(x83713,x83711,x83712)+~P1(f836(x83713,x83712))+E(f836(f836(f74(a1),f836(f836(f75(a1),x83711),f843(x83712,x83711,x83713))),f840(x83712,x83711,x83713)),x83712)+P1(f836(f836(f225(a1),f841(x83712,x83711,x83713)),x83711))
% 190.77/190.68 [8372]~P73(x83721)+~P74(x83721)+~P39(x83723)+E(f836(f836(f9(a899,x83721),f836(f836(f8(a1,x83721,a899),x83722),f90(a1))),f836(f300(a1,a899,a95),x83723)),f836(f836(f9(a1,x83721),x83722),x83723))
% 190.77/190.68 [8373]~P73(x83731)+~P74(x83731)+~P39(x83733)+E(f836(f836(f6(a899,x83731),f836(f836(f8(a1,x83731,a899),x83732),f90(a1))),f836(f300(a1,a899,a95),x83733)),f836(f836(f6(a1,x83731),x83732),x83733))
% 190.77/190.68 [8382]P148(x83823,x83821,x83822)+E(f836(f836(f74(a1),f836(f836(f75(a1),x83821),f848(x83822,x83821,x83823))),f845(x83822,x83821,x83823)),x83822)+~P1(f836(x83823,f2(a1)))+P1(f836(f836(f225(a1),f846(x83822,x83821,x83823)),x83821))
% 190.77/190.68 [8404]~E(x84042,f2(a899))+~E(f836(f241(a899,a899),x84043),f2(a899))+~E(x84041,f836(f836(f74(a899),f836(f836(f75(a899),f836(f241(a899,a899),x84043)),x84042)),f836(f246(a899,a899),x84043)))+P1(f836(f44(x84041,x84042),x84043))
% 190.77/190.68 [8461]P1(f836(x84611,x84612))+~P1(f836(f836(f318(x84613),f509(x84611,x84612,x84613)),f517(x84611,x84612,x84613)))+~P1(f836(f29(x84613),x84612))+~P1(f836(x84611,f178(f906(x84613,a895))))
% 190.77/190.68 [9085]P1(f836(x90851,x90852))+~P1(f836(f29(x90853),x90852))+~P1(f836(x90851,f836(f836(f299(x90853),f509(x90851,x90852,x90853)),f517(x90851,x90852,x90853))))+~P1(f836(x90851,f178(f906(x90853,a895))))
% 190.77/190.68 [9317]P1(f836(f836(f224(a1),x93171),f2(a1)))+~P1(f836(f836(f225(a1),f836(f836(f74(a1),f836(f836(f75(a1),x93173),x93171)),x93172)),f2(a1)))+~P1(f836(f836(f224(a1),f2(a1)),x93172))+~P1(f836(f836(f225(a1),f2(a1)),x93173))
% 190.77/190.68 [5872]~P108(x58722)+E(x58721,f178(f906(x58722,a895)))+~P1(f836(f29(x58722),x58721))+E(f14(x58722,f836(f836(f299(x58722),x58723),x58721)),f836(f836(f228(x58722),x58723),f14(x58722,x58721)))
% 190.77/190.68 [5873]~P108(x58732)+E(x58731,f178(f906(x58732,a895)))+~P1(f836(f29(x58732),x58731))+E(f15(x58732,f836(f836(f299(x58732),x58733),x58731)),f836(f836(f223(x58732),x58733),f15(x58732,x58731)))
% 190.77/190.68 [5874]~P99(x58742)+E(x58741,f178(f906(x58742,a895)))+~P1(f836(f29(x58742),x58741))+E(f13(x58742,f836(f836(f299(x58742),x58743),x58741)),f836(f836(f91(x58742),x58743),f13(x58742,x58741)))
% 190.77/190.68 [5875]~P99(x58752)+E(x58751,f178(f906(x58752,a895)))+~P1(f836(f29(x58752),x58751))+E(f10(x58752,f836(f836(f299(x58752),x58753),x58751)),f836(f836(f92(x58752),x58753),f10(x58752,x58751)))
% 190.77/190.68 [6206]~P126(x62061)+~E(x62063,f2(x62061))+~E(x62062,f2(x62061))+E(f836(f836(f74(x62061),f836(f836(f75(x62061),x62062),x62062)),f836(f836(f75(x62061),x62063),x62063)),f2(x62061))
% 190.77/190.68 [6279]~P97(x62792)+E(x62791,f178(f906(x62792,a895)))+~P1(f836(f29(x62792),x62791))+E(f836(f58(x62792,f75(x62792)),f836(f836(f299(x62792),x62793),x62791)),f836(f836(f75(x62792),x62793),f836(f58(x62792,f75(x62792)),x62791)))
% 190.77/190.68 [6410]~P108(x64102)+E(x64101,f178(f906(x64102,a895)))+~P1(f836(f29(x64102),x64101))+E(f11(x64102,f228(x64102),f836(f836(f299(x64102),x64103),x64101)),f836(f836(f228(x64102),x64103),f11(x64102,f228(x64102),x64101)))
% 190.77/190.68 [6411]~P108(x64112)+E(x64111,f178(f906(x64112,a895)))+~P1(f836(f29(x64112),x64111))+E(f12(x64112,f223(x64112),f836(f836(f299(x64112),x64113),x64111)),f836(f836(f223(x64112),x64113),f12(x64112,f223(x64112),x64111)))
% 190.77/190.68 [6935]~P71(x69351)+~P1(f836(f29(x69351),x69353))+E(f836(f58(x69351,f75(x69351)),f836(f836(f299(x69351),x69352),x69353)),f836(f836(f59(x69351,x69351,f75(x69351)),x69352),x69353))+P1(f836(f836(f318(x69351),x69352),x69353))
% 190.77/190.68 [7018]~E(f836(f836(f74(a1),x70182),f836(f836(f75(a1),x70183),x70181)),x70183)+~P1(f836(f836(f225(a1),f2(a1)),x70183))+P1(f836(f836(f224(a1),f72(a1)),x70181))+~P1(f836(f836(f225(a1),x70182),x70183))
% 190.77/190.68 [7047]~E(f836(f836(f74(a1),x70472),f836(f836(f75(a1),x70473),x70471)),x70473)+P1(f836(f836(f224(a1),x70471),f72(a1)))+~P1(f836(f836(f224(a1),f2(a1)),x70472))+~P1(f836(f836(f225(a1),f2(a1)),x70473))
% 190.77/190.68 [7065]E(x70651,f2(a899))+~P1(f836(f44(x70653,x70651),x70652))+~P1(f836(f836(f225(a899),f2(a899)),x70651))+P1(f836(f836(f225(a899),f836(f246(a899,a899),x70652)),x70651))
% 190.77/190.68 [7096]~P140(x70961)+~P1(f836(f836(f224(x70961),x70962),f2(x70961)))+~P1(f836(f836(f224(x70961),x70963),f2(x70961)))+E(f836(f836(f75(x70961),f836(f70(x70961),x70962)),f836(f70(x70961),x70963)),f836(f70(x70961),f836(f836(f75(x70961),x70962),x70963)))
% 190.77/190.68 [7143]~P140(x71431)+~P1(f836(f836(f224(x71431),x71432),f2(x71431)))+E(f836(f836(f75(x71431),f836(f70(x71431),x71432)),f836(f70(x71431),x71433)),f836(f70(x71431),f836(f836(f75(x71431),x71432),x71433)))+~P1(f836(f836(f224(x71431),f2(x71431)),x71433))
% 190.77/190.68 [7144]~P140(x71441)+~P1(f836(f836(f224(x71441),x71443),f2(x71441)))+E(f836(f836(f75(x71441),f836(f70(x71441),x71442)),f836(f70(x71441),x71443)),f836(f70(x71441),f836(f836(f75(x71441),x71442),x71443)))+~P1(f836(f836(f224(x71441),f2(x71441)),x71442))
% 190.77/190.68 [7200]~P140(x72001)+E(f836(f836(f75(x72001),f836(f70(x72001),x72002)),f836(f70(x72001),x72003)),f836(f70(x72001),f836(f836(f75(x72001),x72002),x72003)))+~P1(f836(f836(f224(x72001),f2(x72001)),x72002))+~P1(f836(f836(f224(x72001),f2(x72001)),x72003))
% 190.77/190.68 [7216]~P126(x72161)+~P1(f836(f836(f224(x72161),x72163),f2(x72161)))+~P1(f836(f836(f224(x72161),x72162),f2(x72161)))+P1(f836(f836(f224(x72161),f2(x72161)),f836(f836(f75(x72161),x72162),x72163)))
% 190.77/190.68 [7218]~P137(x72181)+~P1(f836(f836(f224(x72181),x72183),f2(x72181)))+~P1(f836(f836(f224(x72181),x72182),f2(x72181)))+P1(f836(f836(f224(x72181),f2(x72181)),f836(f836(f75(x72181),x72182),x72183)))
% 190.77/190.68 [7219]~P63(x72191)+~P1(f836(f836(f224(x72191),x72193),f2(x72191)))+~P1(f836(f836(f224(x72191),x72192),f2(x72191)))+P1(f836(f836(f224(x72191),f2(x72191)),f836(f836(f281(x72191),x72192),x72193)))
% 190.77/190.68 [7220]~P64(x72201)+~P1(f836(f836(f225(x72201),x72203),f2(x72201)))+~P1(f836(f836(f224(x72201),x72202),f2(x72201)))+P1(f836(f836(f224(x72201),f2(x72201)),f836(f836(f281(x72201),x72202),x72203)))
% 190.77/190.68 [7221]~P126(x72211)+~P1(f836(f836(f225(x72211),x72213),f2(x72211)))+~P1(f836(f836(f225(x72211),x72212),f2(x72211)))+P1(f836(f836(f225(x72211),f2(x72211)),f836(f836(f75(x72211),x72212),x72213)))
% 190.77/190.68 [7222]~P63(x72221)+~P1(f836(f836(f225(x72221),x72223),f2(x72221)))+~P1(f836(f836(f225(x72221),x72222),f2(x72221)))+P1(f836(f836(f225(x72221),f2(x72221)),f836(f836(f281(x72221),x72222),x72223)))
% 190.77/190.68 [7223]~P64(x72231)+~P1(f836(f836(f225(x72231),x72233),f2(x72231)))+~P1(f836(f836(f225(x72231),x72232),f2(x72231)))+P1(f836(f836(f225(x72231),f2(x72231)),f836(f836(f281(x72231),x72232),x72233)))
% 190.77/190.68 [7224]~P110(x72241)+~P1(f836(f836(f225(a899),f2(a899)),x72243))+~P1(f836(f836(f225(x72241),f72(x72241)),x72242))+P1(f836(f836(f225(x72241),f72(x72241)),f836(f836(f234(x72241),x72242),x72243)))
% 190.77/190.68 [7322]~P126(x73221)+~P1(f836(f836(f224(x73221),f2(x73221)),x73223))+~P1(f836(f836(f224(x73221),f2(x73221)),x73222))+P1(f836(f836(f224(x73221),f2(x73221)),f836(f836(f75(x73221),x73222),x73223)))
% 190.77/190.68 [7323]~P136(x73231)+~P1(f836(f836(f224(x73231),f2(x73231)),x73233))+~P1(f836(f836(f224(x73231),f2(x73231)),x73232))+P1(f836(f836(f224(x73231),f2(x73231)),f836(f836(f75(x73231),x73232),x73233)))
% 190.77/190.68 [7324]~P137(x73241)+~P1(f836(f836(f224(x73241),f2(x73241)),x73243))+~P1(f836(f836(f224(x73241),f2(x73241)),x73242))+P1(f836(f836(f224(x73241),f2(x73241)),f836(f836(f75(x73241),x73242),x73243)))
% 190.77/190.68 [7325]~P63(x73251)+~P1(f836(f836(f224(x73251),f2(x73251)),x73253))+~P1(f836(f836(f224(x73251),f2(x73251)),x73252))+P1(f836(f836(f224(x73251),f2(x73251)),f836(f836(f281(x73251),x73252),x73253)))
% 190.77/190.68 [7326]~P64(x73261)+~P1(f836(f836(f225(x73261),f2(x73261)),x73263))+~P1(f836(f836(f224(x73261),f2(x73261)),x73262))+P1(f836(f836(f224(x73261),f2(x73261)),f836(f836(f281(x73261),x73262),x73263)))
% 190.77/190.68 [7329]~P88(x73291)+~P1(f836(f836(f225(x73291),f2(x73291)),x73293))+~P1(f836(f836(f225(x73291),f2(x73291)),x73292))+P1(f836(f836(f225(x73291),f2(x73291)),f836(f836(f74(x73291),x73292),x73293)))
% 190.77/190.68 [7330]~P134(x73301)+~P1(f836(f836(f225(x73301),f2(x73301)),x73303))+~P1(f836(f836(f225(x73301),f2(x73301)),x73302))+P1(f836(f836(f225(x73301),f2(x73301)),f836(f836(f75(x73301),x73302),x73303)))
% 190.77/190.68 [7331]~P63(x73311)+~P1(f836(f836(f225(x73311),f2(x73311)),x73313))+~P1(f836(f836(f225(x73311),f2(x73311)),x73312))+P1(f836(f836(f225(x73311),f2(x73311)),f836(f836(f281(x73311),x73312),x73313)))
% 190.77/190.68 [7332]~P64(x73321)+~P1(f836(f836(f225(x73321),f2(x73321)),x73323))+~P1(f836(f836(f225(x73321),f2(x73321)),x73322))+P1(f836(f836(f225(x73321),f2(x73321)),f836(f836(f281(x73321),x73322),x73323)))
% 190.77/190.68 [7333]~P110(x73331)+~P1(f836(f836(f225(x73331),f72(x73331)),x73333))+~P1(f836(f836(f225(x73331),f72(x73331)),x73332))+P1(f836(f836(f225(x73331),f72(x73331)),f836(f836(f75(x73331),x73332),x73333)))
% 190.77/190.68 [7412]~P108(x74121)+~P1(f836(f29(x74121),x74123))+E(f14(x74121,f836(f836(f299(x74121),x74122),x74123)),x74122)+~E(f836(f836(f23(f906(x74121,a895)),x74123),f836(f836(f299(x74121),x74122),f178(f906(x74121,a895)))),f178(f906(x74121,a895)))
% 190.77/190.68 [7413]~P108(x74131)+~P1(f836(f29(x74131),x74133))+E(f15(x74131,f836(f836(f299(x74131),x74132),x74133)),x74132)+~E(f836(f836(f23(f906(x74131,a895)),x74133),f836(f836(f299(x74131),x74132),f178(f906(x74131,a895)))),f178(f906(x74131,a895)))
% 190.77/190.68 [7414]~P99(x74141)+~P1(f836(f29(x74141),x74143))+E(f13(x74141,f836(f836(f299(x74141),x74142),x74143)),x74142)+~E(f836(f836(f23(f906(x74141,a895)),x74143),f836(f836(f299(x74141),x74142),f178(f906(x74141,a895)))),f178(f906(x74141,a895)))
% 190.77/190.68 [7415]~P99(x74151)+~P1(f836(f29(x74151),x74153))+E(f10(x74151,f836(f836(f299(x74151),x74152),x74153)),x74152)+~E(f836(f836(f23(f906(x74151,a895)),x74153),f836(f836(f299(x74151),x74152),f178(f906(x74151,a895)))),f178(f906(x74151,a895)))
% 190.77/190.68 [7417]~P126(x74171)+P1(f836(f836(f224(x74171),x74172),f2(x74171)))+P1(f836(f836(f224(x74171),f2(x74171)),x74173))+~P1(f836(f836(f224(x74171),f2(x74171)),f836(f836(f75(x74171),x74173),x74172)))
% 190.77/190.68 [7418]~P126(x74181)+P1(f836(f836(f224(x74181),x74182),f2(x74181)))+P1(f836(f836(f224(x74181),f2(x74181)),x74183))+~P1(f836(f836(f224(x74181),f2(x74181)),f836(f836(f75(x74181),x74182),x74183)))
% 190.77/190.68 [7419]~P63(x74191)+P1(f836(f836(f224(x74191),x74192),f2(x74191)))+P1(f836(f836(f224(x74191),f2(x74191)),x74193))+~P1(f836(f836(f224(x74191),f2(x74191)),f836(f836(f281(x74191),x74193),x74192)))
% 190.77/190.68 [7420]~P63(x74201)+P1(f836(f836(f224(x74201),x74202),f2(x74201)))+P1(f836(f836(f224(x74201),f2(x74201)),x74203))+~P1(f836(f836(f224(x74201),f2(x74201)),f836(f836(f281(x74201),x74202),x74203)))
% 190.77/190.68 [7421]~P126(x74211)+P1(f836(f836(f224(x74211),x74212),f2(x74211)))+P1(f836(f836(f224(x74211),f2(x74211)),x74212))+~P1(f836(f836(f224(x74211),f2(x74211)),f836(f836(f75(x74211),x74213),x74212)))
% 190.77/190.68 [7422]~P126(x74221)+P1(f836(f836(f224(x74221),x74222),f2(x74221)))+P1(f836(f836(f224(x74221),f2(x74221)),x74222))+~P1(f836(f836(f224(x74221),f2(x74221)),f836(f836(f75(x74221),x74222),x74223)))
% 190.77/190.68 [7423]~P63(x74231)+P1(f836(f836(f224(x74231),x74232),f2(x74231)))+P1(f836(f836(f224(x74231),f2(x74231)),x74232))+~P1(f836(f836(f224(x74231),f2(x74231)),f836(f836(f281(x74231),x74233),x74232)))
% 190.77/190.68 [7424]~P63(x74241)+P1(f836(f836(f224(x74241),x74242),f2(x74241)))+P1(f836(f836(f224(x74241),f2(x74241)),x74242))+~P1(f836(f836(f224(x74241),f2(x74241)),f836(f836(f281(x74241),x74242),x74243)))
% 190.77/190.68 [7425]~P63(x74251)+P1(f836(f836(f225(x74251),x74252),f2(x74251)))+P1(f836(f836(f225(x74251),f2(x74251)),x74253))+~P1(f836(f836(f225(x74251),f2(x74251)),f836(f836(f281(x74251),x74253),x74252)))
% 190.77/190.68 [7426]~P63(x74261)+P1(f836(f836(f225(x74261),x74262),f2(x74261)))+P1(f836(f836(f225(x74261),f2(x74261)),x74263))+~P1(f836(f836(f225(x74261),f2(x74261)),f836(f836(f281(x74261),x74262),x74263)))
% 190.77/190.68 [7427]~P63(x74271)+P1(f836(f836(f225(x74271),x74272),f2(x74271)))+P1(f836(f836(f225(x74271),f2(x74271)),x74272))+~P1(f836(f836(f225(x74271),f2(x74271)),f836(f836(f281(x74271),x74273),x74272)))
% 190.77/190.68 [7428]~P63(x74281)+P1(f836(f836(f225(x74281),x74282),f2(x74281)))+P1(f836(f836(f225(x74281),f2(x74281)),x74282))+~P1(f836(f836(f225(x74281),f2(x74281)),f836(f836(f281(x74281),x74282),x74283)))
% 190.77/190.68 [7501]~P1(f836(f836(f277(a899),x75011),x75013))+P1(f836(f836(f277(a899),x75011),x75012))+~P1(f836(f836(f224(a899),x75012),x75013))+~P1(f836(f836(f277(a899),x75011),f836(f836(f23(a899),x75013),x75012)))
% 190.77/190.68 [7502]~P1(f836(f836(f277(a899),x75021),x75023))+P1(f836(f836(f277(a899),x75021),x75022))+~P1(f836(f836(f224(a899),x75023),x75022))+~P1(f836(f836(f277(a899),x75021),f836(f836(f23(a899),x75022),x75023)))
% 190.77/190.68 [7517]~E(f836(f836(f92(f906(x75171,a895)),f836(f162(x75171),x75172)),f836(f162(x75171),x75173)),f178(f906(x75171,a895)))+~P1(f836(f127(x75171),x75173))+~P1(f836(f127(x75171),x75172))+P1(f836(f127(x75171),f836(f836(f124(x75171),x75172),x75173)))
% 190.77/190.68 [7518]~P108(x75181)+~P1(f836(f29(x75181),x75183))+E(f11(x75181,f228(x75181),f836(f836(f299(x75181),x75182),x75183)),x75182)+~E(f836(f836(f23(f906(x75181,a895)),x75183),f836(f836(f299(x75181),x75182),f178(f906(x75181,a895)))),f178(f906(x75181,a895)))
% 190.77/190.68 [7519]~P108(x75191)+~P1(f836(f29(x75191),x75193))+E(f12(x75191,f223(x75191),f836(f836(f299(x75191),x75192),x75193)),x75192)+~E(f836(f836(f23(f906(x75191,a895)),x75193),f836(f836(f299(x75191),x75192),f178(f906(x75191,a895)))),f178(f906(x75191,a895)))
% 190.77/190.68 [7532]~P86(x75321)+~P1(f836(f836(f224(x75321),x75322),x75323))+~P1(f836(f836(f224(x75321),f836(f73(x75321),x75322)),x75323))+P1(f836(f836(f224(x75321),f836(f70(x75321),x75322)),x75323))
% 190.77/190.68 [7533]~P111(x75331)+~P1(f836(f836(f225(x75331),x75332),x75333))+~P1(f836(f836(f225(x75331),f836(f73(x75331),x75332)),x75333))+P1(f836(f836(f225(x75331),f836(f70(x75331),x75332)),x75333))
% 190.77/190.68 [7599]~P134(x75991)+P1(f836(f836(f225(x75991),f2(x75991)),x75992))+~P1(f836(f836(f225(x75991),f2(x75991)),x75993))+~P1(f836(f836(f225(x75991),f2(x75991)),f836(f836(f75(x75991),x75993),x75992)))
% 190.77/190.68 [7600]~P134(x76001)+P1(f836(f836(f225(x76001),f2(x76001)),x76002))+~P1(f836(f836(f225(x76001),f2(x76001)),x76003))+~P1(f836(f836(f225(x76001),f2(x76001)),f836(f836(f75(x76001),x76002),x76003)))
% 190.77/190.68 [7904]E(x79041,x79042)+~P1(f836(f29(x79043),x79041))+~P1(f836(f836(f224(a899),f836(f30(x79043),x79041)),f836(f30(x79043),x79042)))+~P1(f836(f836(f224(f906(x79043,a895)),x79042),x79041))
% 190.77/190.68 [8050]~P1(f836(f836(f225(a1),x80501),f2(a1)))+~P1(f836(f836(f225(a1),f2(a1)),x80502))+~P1(f836(f836(f224(a1),x80502),x80503))+P1(f836(f836(f224(a1),f836(f836(f31(a1),x80501),x80502)),f836(f836(f31(a1),x80501),x80503)))
% 190.77/190.68 [8060]~P1(f836(f836(f224(a1),f2(a1)),x80601))+~P1(f836(f836(f225(a1),f2(a1)),x80603))+~P1(f836(f836(f224(a1),x80603),x80602))+P1(f836(f836(f224(a1),f836(f836(f31(a1),x80601),x80602)),f836(f836(f31(a1),x80601),x80603)))
% 190.77/190.68 [8194]E(f836(x81941,f465(x81942,x81941,x81943)),x81942)+~P1(f836(f836(f224(a1),x81942),f836(x81941,x81943)))+P1(f836(f836(f225(a899),f460(x81942,x81941,x81943)),x81943))+~P1(f836(f836(f224(a1),f836(x81941,f2(a899))),x81942))
% 190.77/190.68 [8195]E(f836(x81951,f466(x81952,x81951,x81953)),x81952)+~P1(f836(f836(f224(a1),x81952),f836(x81951,x81953)))+P1(f836(f836(f225(a899),f467(x81952,x81951,x81953)),x81953))+~P1(f836(f836(f224(a1),f836(x81951,f2(a899))),x81952))
% 190.77/190.68 [8297]~P1(f836(f29(x82971),x82973))+~P1(f836(f836(f225(a899),f836(f30(x82971),x82972)),f836(f30(x82971),x82973)))+~P1(f836(f836(f224(f906(x82971,a895)),x82972),x82973))+P1(f836(f836(f225(f906(x82971,a895)),x82972),x82973))
% 190.77/190.68 [8324]E(f836(f836(f74(a1),f356(x83243,x83241,x83242)),f357(x83243,x83241,x83242)),x83241)+E(f836(f836(f23(a1),x83241),x83242),x83241)+~P1(f836(f836(f225(a1),f2(a1)),x83242))+~P1(f836(f836(f318(a1),f836(f836(f23(a1),x83241),f72(a1))),x83243))
% 190.77/190.68 [8325]E(f836(f836(f23(a1),f360(x83253,x83251,x83252)),f361(x83253,x83251,x83252)),x83251)+E(f836(f836(f74(a1),x83251),x83252),x83251)+~P1(f836(f836(f225(a1),f2(a1)),x83252))+~P1(f836(f836(f318(a1),f836(f836(f74(a1),x83251),f72(a1))),x83253))
% 190.77/190.68 [8377]~P1(f836(f836(f224(a899),x83773),x83771))+P1(f836(f836(f224(a899),x83771),x83772))+~P1(f836(f836(f224(a899),x83773),x83772))+~P1(f836(f836(f224(a899),f836(f836(f23(a899),x83771),x83773)),f836(f836(f23(a899),x83772),x83773)))
% 190.77/190.68 [8378]~P1(f836(f836(f224(a899),x83783),x83781))+P1(f836(f836(f225(a899),x83781),x83782))+~P1(f836(f836(f224(a899),x83783),x83782))+~P1(f836(f836(f225(a899),f836(f836(f23(a899),x83781),x83783)),f836(f836(f23(a899),x83782),x83783)))
% 190.77/190.68 [8397]~P108(x83972)+E(x83971,f103(x83972))+~P13(x83972,f836(f158(x83972),x83971))+E(f836(f132(x83972,x83972,f836(f7(x83972,x83972,x83972),f223(x83972)),x83973),f836(f158(x83972),x83971)),f836(f836(f223(x83972),f836(f836(f154(x83972),x83971),f2(a899))),x83973))
% 190.77/190.68 [8466]E(f836(f836(f23(a1),x84661),x84662),x84661)+~P1(f836(f836(f225(a1),f2(a1)),x84662))+P1(f836(f836(f318(a1),f356(x84663,x84661,x84662)),x84663))+~P1(f836(f836(f318(a1),f836(f836(f23(a1),x84661),f72(a1))),x84663))
% 190.77/190.68 [8467]E(f836(f836(f74(a1),x84671),x84672),x84671)+~P1(f836(f836(f225(a1),f2(a1)),x84672))+P1(f836(f836(f318(a1),f360(x84673,x84671,x84672)),x84673))+~P1(f836(f836(f318(a1),f836(f836(f74(a1),x84671),f72(a1))),x84673))
% 190.77/190.68 [8539]~P1(f836(f836(f224(a1),x85391),f836(x85392,x85393)))+P1(f836(f836(f225(a899),f460(x85391,x85392,x85393)),x85393))+P1(f836(f836(f224(a899),f465(x85391,x85392,x85393)),x85393))+~P1(f836(f836(f224(a1),f836(x85392,f2(a899))),x85391))
% 190.77/190.68 [8540]~P1(f836(f836(f224(a1),x85401),f836(x85402,x85403)))+P1(f836(f836(f225(a899),f467(x85401,x85402,x85403)),x85403))+P1(f836(f836(f224(a899),f466(x85401,x85402,x85403)),x85403))+~P1(f836(f836(f224(a1),f836(x85402,f2(a899))),x85401))
% 190.77/190.68 [8612]E(f836(f836(f23(a1),x86121),x86122),x86121)+~P1(f836(f836(f225(a1),f2(a1)),x86122))+P1(f836(f836(f318(a1),f357(x86123,x86121,x86122)),f293(a1,f72(a1),x86122)))+~P1(f836(f836(f318(a1),f836(f836(f23(a1),x86121),f72(a1))),x86123))
% 190.77/190.68 [8613]E(f836(f836(f74(a1),x86131),x86132),x86131)+~P1(f836(f836(f225(a1),f2(a1)),x86132))+P1(f836(f836(f318(a1),f361(x86133,x86131,x86132)),f293(a1,f72(a1),x86132)))+~P1(f836(f836(f318(a1),f836(f836(f74(a1),x86131),f72(a1))),x86133))
% 190.77/190.68 [8746]~P110(x87461)+~P1(f836(f836(f225(x87461),x87462),f72(x87461)))+~P1(f836(f836(f225(x87461),f2(x87461)),x87462))+P1(f836(f836(f225(x87461),f836(f836(f75(x87461),x87462),f836(f836(f234(x87461),x87462),x87463))),f836(f836(f234(x87461),x87462),x87463)))
% 190.77/190.68 [8839]~P1(f836(x88391,x88392))+P1(f836(x88391,f2(a899)))+~P1(f836(f836(f225(a899),x88392),x88393))+~P1(f836(x88391,f41(a899,f836(a102,f537(x88392,x88391,x88393)),x88393)))
% 190.77/190.68 [8991]E(f449(x89911,x89912,x89913),f2(a899))+P1(f836(f836(x89911,x89913),x89912))+P1(f836(f836(x89911,f449(x89911,x89912,x89913)),f41(a899,f445(x89911,x89912,x89913),f449(x89911,x89912,x89913))))+~P1(f836(f305(f905(a899,a899),a209),f836(f836(f242(a899,a899),x89913),x89912)))
% 190.77/190.68 [9027]~P24(x90271,x90271,x90272,x90273)+E(f836(f300(x90271,x90271,x90272),x90273),x90273)+~P1(f836(f29(x90271),x90273))+~P1(f836(f836(f224(f906(x90271,a895)),f836(f300(x90271,x90271,x90272),x90273)),x90273))
% 190.77/190.68 [9243]P1(f836(f836(x92431,x92432),x92433))+P1(f836(f836(f225(a1),f750(x92431,x92433,x92432)),f751(x92431,x92433,x92432)))+P1(f836(f836(x92431,f750(x92431,x92433,x92432)),f836(f836(f74(a1),f751(x92431,x92433,x92432)),f72(a1))))+~P1(f836(f305(f905(a1,a1),a123),f836(f836(f242(a1,a1),x92432),x92433)))
% 190.77/190.68 [9260]P1(f836(f836(x92601,x92602),x92603))+~P1(f836(f836(f225(a1),f883(x92601,x92603,x92602)),f2(a1)))+P1(f836(f836(x92601,f836(f73(a1),f882(x92601,x92603,x92602))),f836(f73(a1),f883(x92601,x92603,x92602))))+~P1(f836(f305(f905(a1,a1),a211),f836(f836(f242(a1,a1),x92602),x92603)))
% 190.77/190.68 [9452]P1(f836(f836(x94521,x94522),x94523))+P1(f836(f836(x94521,f836(f836(f74(a1),f652(x94521,x94523,x94522)),f72(a1))),f654(x94521,x94523,x94522)))+~P1(f836(f836(f224(a1),f652(x94521,x94523,x94522)),f654(x94521,x94523,x94522)))+~P1(f836(f305(f905(a1,a1),a172),f836(f836(f242(a1,a1),x94522),x94523)))
% 190.77/190.68 [9894]~P60(x98942)+~P60(x98941)+~P1(f836(f52(f905(x98941,x98942)),x98943))+P1(f836(f52(x98941),f836(f836(f8(f906(x98942,a895),a895,x98941),f52(x98942)),f836(f836(f8(f906(x98942,f905(x98941,x98942)),f906(x98942,a895),x98941),f836(f8(f905(x98941,x98942),a895,x98942),x98943)),f242(x98941,x98942)))))
% 190.77/190.68 [9895]~P60(x98952)+~P60(x98951)+~P1(f836(f53(f905(x98951,x98952)),x98953))+P1(f836(f53(x98951),f836(f836(f8(f906(x98952,a895),a895,x98951),f53(x98952)),f836(f836(f8(f906(x98952,f905(x98951,x98952)),f906(x98952,a895),x98951),f836(f8(f905(x98951,x98952),a895,x98952),x98953)),f242(x98951,x98952)))))
% 190.77/190.68 [9989]~P60(x99892)+~P60(x99891)+P1(f836(f52(f905(x99891,x99892)),x99893))+~P1(f836(f52(x99891),f836(f836(f8(f906(x99892,a895),a895,x99891),f52(x99892)),f836(f836(f8(f906(x99892,f905(x99891,x99892)),f906(x99892,a895),x99891),f836(f8(f905(x99891,x99892),a895,x99892),x99893)),f242(x99891,x99892)))))
% 190.77/190.68 [9990]~P60(x99902)+~P60(x99901)+P1(f836(f53(f905(x99901,x99902)),x99903))+~P1(f836(f53(x99901),f836(f836(f8(f906(x99902,a895),a895,x99901),f53(x99902)),f836(f836(f8(f906(x99902,f905(x99901,x99902)),f906(x99902,a895),x99901),f836(f8(f905(x99901,x99902),a895,x99902),x99903)),f242(x99901,x99902)))))
% 190.77/190.68 [10163]E(f836(x101631,f465(x101632,x101631,x101633)),x101632)+~P1(f836(f836(f224(a1),x101632),f836(x101631,x101633)))+~P1(f836(f836(f224(a1),f836(f70(a1),f836(f836(f23(a1),f836(x101631,f836(f836(f74(a899),f460(x101632,x101631,x101633)),f72(a899)))),f836(x101631,f460(x101632,x101631,x101633))))),f72(a1)))+~P1(f836(f836(f224(a1),f836(x101631,f2(a899))),x101632))
% 190.77/190.68 [10164]E(f836(x101641,f466(x101642,x101641,x101643)),x101642)+~P1(f836(f836(f224(a1),x101642),f836(x101641,x101643)))+~P1(f836(f836(f224(a1),f836(f70(a1),f836(f836(f23(a1),f836(x101641,f836(f836(f74(a899),f467(x101642,x101641,x101643)),f72(a899)))),f836(x101641,f467(x101642,x101641,x101643))))),f72(a1)))+~P1(f836(f836(f224(a1),f836(x101641,f2(a899))),x101642))
% 190.77/190.68 [10167]~P1(f836(f836(f224(a1),x101671),f836(x101672,x101673)))+~P1(f836(f836(f224(a1),f836(f70(a1),f836(f836(f23(a1),f836(x101672,f836(f836(f74(a899),f460(x101671,x101672,x101673)),f72(a899)))),f836(x101672,f460(x101671,x101672,x101673))))),f72(a1)))+P1(f836(f836(f224(a899),f465(x101671,x101672,x101673)),x101673))+~P1(f836(f836(f224(a1),f836(x101672,f2(a899))),x101671))
% 190.77/190.68 [10168]~P1(f836(f836(f224(a1),x101681),f836(x101682,x101683)))+~P1(f836(f836(f224(a1),f836(f70(a1),f836(f836(f23(a1),f836(x101682,f836(f836(f74(a899),f467(x101681,x101682,x101683)),f72(a899)))),f836(x101682,f467(x101681,x101682,x101683))))),f72(a1)))+P1(f836(f836(f224(a899),f466(x101681,x101682,x101683)),x101683))+~P1(f836(f836(f224(a1),f836(x101682,f2(a899))),x101681))
% 190.77/190.68 [10225]E(x102251,x102252)+~E(f836(f132(f900(x102253),f900(x102253),f124(x102253),f103(x102253)),x102251),f836(f132(f900(x102253),f900(x102253),f124(x102253),f103(x102253)),x102252))+~E(f836(f179(f900(f900(x102253))),x102251),f836(f179(f900(f900(x102253))),x102252))+~P1(f836(f836(f247(f900(x102253),f900(x102253),a895),f836(f836(f7(f900(x102253),f906(f900(x102253),a899),f906(f900(x102253),a895)),f836(f836(f8(f906(a899,a895),f906(f906(f900(x102253),a899),f906(f900(x102253),a895)),f900(x102253)),f8(a899,a895,f900(x102253))),f836(f836(f8(a899,f906(a899,a895),f900(x102253)),a314),f179(f900(x102253))))),f179(f900(x102253)))),f680(x102252,x102251,x102253)))
% 190.77/190.68 [10226]E(x102261,x102262)+~E(f836(f132(f900(x102263),f900(x102263),f124(x102263),f103(x102263)),x102261),f836(f132(f900(x102263),f900(x102263),f124(x102263),f103(x102263)),x102262))+~E(f836(f179(f900(f900(x102263))),x102261),f836(f179(f900(f900(x102263))),x102262))+~P1(f836(f836(f247(f900(x102263),f900(x102263),a895),f836(f836(f7(f900(x102263),f906(f900(x102263),a899),f906(f900(x102263),a895)),f836(f836(f8(f906(a899,a895),f906(f906(f900(x102263),a899),f906(f900(x102263),a895)),f900(x102263)),f8(a899,a895,f900(x102263))),f836(f836(f8(a899,f906(a899,a895),f900(x102263)),a314),f179(f900(x102263))))),f179(f900(x102263)))),f681(x102261,x102262,x102263)))
% 190.77/190.68 [6923]~E(f72(a899),f2(a899))+~P1(f836(f29(x69231),x69233))+~P1(f836(f29(x69231),x69232))+E(f836(f836(f74(a899),f836(f30(x69231),x69232)),f836(f30(x69231),x69233)),f836(f30(x69231),f836(f836(f91(f906(x69231,a895)),x69232),x69233)))
% 190.77/190.68 [7340]~P108(x73401)+~P1(f836(f29(x73401),x73402))+~P1(f836(f836(f318(x73401),x73403),x73402))+P1(f836(f836(f224(x73401),f836(f58(x73401,f228(x73401)),x73402)),x73403))
% 190.77/190.68 [7341]~P104(x73411)+~P1(f836(f29(x73411),x73412))+~P1(f836(f836(f318(x73411),x73413),x73412))+P1(f836(f836(f224(x73411),f836(f58(x73411,f92(x73411)),x73412)),x73413))
% 190.77/190.68 [7593]~P1(f836(f29(x75931),x75933))+~P1(f836(f29(x75931),x75932))+~E(f836(f836(f92(f906(x75931,a895)),x75932),x75933),f178(f906(x75931,a895)))+E(f836(f836(f74(a899),f836(f30(x75931),x75932)),f836(f30(x75931),x75933)),f836(f30(x75931),f836(f836(f91(f906(x75931,a895)),x75932),x75933)))
% 190.77/190.68 [8383]~P36(x83831,x83833)+~P36(x83831,x83832)+~E(f836(f836(f92(f906(x83831,a895)),f836(f254(x83831,x83831),x83832)),f836(f274(x83831,x83831),x83833)),f178(f906(x83831,a895)))+P36(x83831,f836(f836(f91(f906(f905(x83831,x83831),a895)),x83832),x83833))
% 190.77/190.68 [8478]E(x84781,f836(f836(f31(a899),x84782),x84783))+~P1(f836(f836(f225(a899),f2(a899)),x84783))+~P1(f836(f836(f225(a899),x84782),f836(f836(f75(a899),x84783),f836(a102,x84781))))+~P1(f836(f836(f224(a899),f836(f836(f75(a899),x84783),x84781)),x84782))
% 190.77/190.68 [8610]~P1(f836(f29(x86101),x86102))+~P1(f836(f29(x86101),x86103))+E(f836(f836(f74(a899),f836(f30(x86101),x86102)),f836(f30(x86101),x86103)),f836(f30(x86101),f836(f836(f91(f906(x86101,a895)),x86102),x86103)))+P1(f836(f836(f318(x86101),f379(x86103,x86102,x86101)),f836(f836(f92(f906(x86101,a895)),x86102),x86103)))
% 190.77/190.68 [9003]~P126(x90032)+~E(x90031,f2(x90032))+~E(x90033,f2(x90032))+~P1(f836(f836(f225(x90032),f2(x90032)),f836(f836(f74(x90032),f836(f836(f75(x90032),x90033),x90033)),f836(f836(f75(x90032),x90031),x90031))))
% 190.77/190.68 [9533]~P36(x95331,x95333)+~P36(x95331,x95332)+P36(x95331,f836(f836(f91(f906(f905(x95331,x95331),a895)),x95332),x95333))+~P1(f836(f836(f224(f906(f905(x95331,x95331),a895)),f836(f836(f279(x95331,x95331,x95331),x95332),x95333)),x95332))
% 190.77/190.68 [9670]~P1(f836(x96701,x96703))+~P1(f836(f29(x96702),x96703))+P1(f836(x96701,f178(f906(x96702,a895))))+~P1(f836(x96701,f836(f836(f23(f906(x96702,a895)),f396(x96701,x96703,x96702)),f836(f836(f299(x96702),f398(x96701,x96703,x96702)),f178(f906(x96702,a895))))))
% 190.77/190.68 [8786]~P1(f836(f836(f225(a1),f2(a1)),x87863))+P1(f836(f836(f224(a1),f2(a1)),x87861))+~P1(f836(f836(f225(a1),x87862),x87863))+~P1(f836(f836(f224(a1),f2(a1)),f836(f836(f74(a1),f836(f836(f75(a1),x87863),x87861)),x87862)))
% 190.77/190.68 [8810]~P108(x88101)+~P1(f836(f29(x88101),x88102))+E(f836(f836(f23(f906(x88101,a895)),x88102),f836(f836(f299(x88101),x88103),f178(f906(x88101,a895)))),f178(f906(x88101,a895)))+E(f836(f836(f228(x88101),x88103),f14(x88101,f836(f836(f23(f906(x88101,a895)),x88102),f836(f836(f299(x88101),x88103),f178(f906(x88101,a895)))))),f14(x88101,f836(f836(f299(x88101),x88103),x88102)))
% 190.77/190.68 [8811]~P108(x88111)+~P1(f836(f29(x88111),x88112))+E(f836(f836(f23(f906(x88111,a895)),x88112),f836(f836(f299(x88111),x88113),f178(f906(x88111,a895)))),f178(f906(x88111,a895)))+E(f836(f836(f223(x88111),x88113),f15(x88111,f836(f836(f23(f906(x88111,a895)),x88112),f836(f836(f299(x88111),x88113),f178(f906(x88111,a895)))))),f15(x88111,f836(f836(f299(x88111),x88113),x88112)))
% 190.77/190.68 [8812]~P99(x88121)+~P1(f836(f29(x88121),x88122))+E(f836(f836(f23(f906(x88121,a895)),x88122),f836(f836(f299(x88121),x88123),f178(f906(x88121,a895)))),f178(f906(x88121,a895)))+E(f836(f836(f91(x88121),x88123),f13(x88121,f836(f836(f23(f906(x88121,a895)),x88122),f836(f836(f299(x88121),x88123),f178(f906(x88121,a895)))))),f13(x88121,f836(f836(f299(x88121),x88123),x88122)))
% 190.77/190.68 [8813]~P99(x88131)+~P1(f836(f29(x88131),x88132))+E(f836(f836(f23(f906(x88131,a895)),x88132),f836(f836(f299(x88131),x88133),f178(f906(x88131,a895)))),f178(f906(x88131,a895)))+E(f836(f836(f92(x88131),x88133),f10(x88131,f836(f836(f23(f906(x88131,a895)),x88132),f836(f836(f299(x88131),x88133),f178(f906(x88131,a895)))))),f10(x88131,f836(f836(f299(x88131),x88133),x88132)))
% 190.77/190.68 [8885]~P108(x88851)+~P1(f836(f29(x88851),x88852))+E(f836(f836(f23(f906(x88851,a895)),x88852),f836(f836(f299(x88851),x88853),f178(f906(x88851,a895)))),f178(f906(x88851,a895)))+E(f836(f836(f228(x88851),x88853),f11(x88851,f228(x88851),f836(f836(f23(f906(x88851,a895)),x88852),f836(f836(f299(x88851),x88853),f178(f906(x88851,a895)))))),f11(x88851,f228(x88851),f836(f836(f299(x88851),x88853),x88852)))
% 190.77/190.68 [8886]~P108(x88861)+~P1(f836(f29(x88861),x88862))+E(f836(f836(f23(f906(x88861,a895)),x88862),f836(f836(f299(x88861),x88863),f178(f906(x88861,a895)))),f178(f906(x88861,a895)))+E(f836(f836(f223(x88861),x88863),f12(x88861,f223(x88861),f836(f836(f23(f906(x88861,a895)),x88862),f836(f836(f299(x88861),x88863),f178(f906(x88861,a895)))))),f12(x88861,f223(x88861),f836(f836(f299(x88861),x88863),x88862)))
% 190.77/190.68 [9471]E(x94711,x94712)+~E(f836(f132(f900(x94713),f900(x94713),f124(x94713),f103(x94713)),x94711),f836(f132(f900(x94713),f900(x94713),f124(x94713),f103(x94713)),x94712))+~E(f836(f179(f900(f900(x94713))),x94711),f836(f179(f900(f900(x94713))),x94712))+P1(f836(f836(f318(f905(f900(x94713),f900(x94713))),f680(x94712,x94711,x94713)),f836(f162(f905(f900(x94713),f900(x94713))),f836(f836(f171(f900(x94713),f900(x94713)),x94711),x94712))))
% 190.77/190.68 [9472]E(x94721,x94722)+~E(f836(f132(f900(x94723),f900(x94723),f124(x94723),f103(x94723)),x94721),f836(f132(f900(x94723),f900(x94723),f124(x94723),f103(x94723)),x94722))+~E(f836(f179(f900(f900(x94723))),x94721),f836(f179(f900(f900(x94723))),x94722))+P1(f836(f836(f318(f905(f900(x94723),f900(x94723))),f681(x94721,x94722,x94723)),f836(f162(f905(f900(x94723),f900(x94723))),f836(f836(f171(f900(x94723),f900(x94723)),x94722),x94721))))
% 190.77/190.68 [10334]~P78(x103342)+E(x103341,f178(f906(x103342,a895)))+~P1(f836(f29(x103342),x103341))+E(f14(x103342,f836(f252(x103342),f836(f836(f8(f906(x103342,a895),a895,x103342),f81(x103342)),f836(f836(f7(x103342,f906(x103342,a895),f906(x103342,a895)),f836(f836(f8(f906(x103342,f906(a895,a895)),f906(f906(x103342,a895),f906(x103342,a895)),x103342),f18(x103342,a895,a895)),f836(f836(f8(f906(x103342,a895),f906(x103342,f906(a895,a895)),x103342),f836(f8(a895,f906(a895,a895),x103342),a315)),f836(f836(f7(x103342,f906(x103342,x103342),f906(x103342,a895)),f836(f836(f8(f906(x103342,a895),f906(f906(x103342,x103342),f906(x103342,a895)),x103342),f8(x103342,a895,x103342)),a314)),f836(f74(x103342),x103343))))),f836(f836(f7(x103342,f906(x103342,a895),a895),f318(x103342)),x103341))))),f836(f836(f74(x103342),x103343),f14(x103342,x103341)))
% 190.77/190.68 [10335]~P78(x103352)+E(x103351,f178(f906(x103352,a895)))+~P1(f836(f29(x103352),x103351))+E(f15(x103352,f836(f252(x103352),f836(f836(f8(f906(x103352,a895),a895,x103352),f81(x103352)),f836(f836(f7(x103352,f906(x103352,a895),f906(x103352,a895)),f836(f836(f8(f906(x103352,f906(a895,a895)),f906(f906(x103352,a895),f906(x103352,a895)),x103352),f18(x103352,a895,a895)),f836(f836(f8(f906(x103352,a895),f906(x103352,f906(a895,a895)),x103352),f836(f8(a895,f906(a895,a895),x103352),a315)),f836(f836(f7(x103352,f906(x103352,x103352),f906(x103352,a895)),f836(f836(f8(f906(x103352,a895),f906(f906(x103352,x103352),f906(x103352,a895)),x103352),f8(x103352,a895,x103352)),a314)),f836(f74(x103352),x103353))))),f836(f836(f7(x103352,f906(x103352,a895),a895),f318(x103352)),x103351))))),f836(f836(f74(x103352),x103353),f15(x103352,x103351)))
% 190.77/190.68 [10336]~P102(x103362)+E(x103361,f178(f906(x103362,a895)))+~P1(f836(f29(x103362),x103361))+E(f10(x103362,f836(f252(x103362),f836(f836(f8(f906(x103362,a895),a895,x103362),f81(x103362)),f836(f836(f7(x103362,f906(x103362,a895),f906(x103362,a895)),f836(f836(f8(f906(x103362,f906(a895,a895)),f906(f906(x103362,a895),f906(x103362,a895)),x103362),f18(x103362,a895,a895)),f836(f836(f8(f906(x103362,a895),f906(x103362,f906(a895,a895)),x103362),f836(f8(a895,f906(a895,a895),x103362),a315)),f836(f836(f7(x103362,f906(x103362,x103362),f906(x103362,a895)),f836(f836(f8(f906(x103362,a895),f906(f906(x103362,x103362),f906(x103362,a895)),x103362),f8(x103362,a895,x103362)),a314)),f836(f91(x103362),x103363))))),f836(f836(f7(x103362,f906(x103362,a895),a895),f318(x103362)),x103361))))),f836(f836(f91(x103362),x103363),f10(x103362,x103361)))
% 190.77/190.68 [10337]~P102(x103372)+E(x103371,f178(f906(x103372,a895)))+~P1(f836(f29(x103372),x103371))+E(f13(x103372,f836(f252(x103372),f836(f836(f8(f906(x103372,a895),a895,x103372),f81(x103372)),f836(f836(f7(x103372,f906(x103372,a895),f906(x103372,a895)),f836(f836(f8(f906(x103372,f906(a895,a895)),f906(f906(x103372,a895),f906(x103372,a895)),x103372),f18(x103372,a895,a895)),f836(f836(f8(f906(x103372,a895),f906(x103372,f906(a895,a895)),x103372),f836(f8(a895,f906(a895,a895),x103372),a315)),f836(f836(f7(x103372,f906(x103372,x103372),f906(x103372,a895)),f836(f836(f8(f906(x103372,a895),f906(f906(x103372,x103372),f906(x103372,a895)),x103372),f8(x103372,a895,x103372)),a314)),f836(f92(x103372),x103373))))),f836(f836(f7(x103372,f906(x103372,a895),a895),f318(x103372)),x103371))))),f836(f836(f92(x103372),x103373),f13(x103372,x103371)))
% 190.77/190.68 [10338]~P108(x103382)+E(x103381,f178(f906(x103382,a895)))+~P1(f836(f29(x103382),x103381))+E(f12(x103382,f223(x103382),f836(f252(x103382),f836(f836(f8(f906(x103382,a895),a895,x103382),f81(x103382)),f836(f836(f7(x103382,f906(x103382,a895),f906(x103382,a895)),f836(f836(f8(f906(x103382,f906(a895,a895)),f906(f906(x103382,a895),f906(x103382,a895)),x103382),f18(x103382,a895,a895)),f836(f836(f8(f906(x103382,a895),f906(x103382,f906(a895,a895)),x103382),f836(f8(a895,f906(a895,a895),x103382),a315)),f836(f836(f7(x103382,f906(x103382,x103382),f906(x103382,a895)),f836(f836(f8(f906(x103382,a895),f906(f906(x103382,x103382),f906(x103382,a895)),x103382),f8(x103382,a895,x103382)),a314)),f836(f228(x103382),x103383))))),f836(f836(f7(x103382,f906(x103382,a895),a895),f318(x103382)),x103381))))),f836(f836(f228(x103382),x103383),f12(x103382,f223(x103382),x103381)))
% 190.77/190.68 [10339]~P108(x103392)+E(x103391,f178(f906(x103392,a895)))+~P1(f836(f29(x103392),x103391))+E(f11(x103392,f228(x103392),f836(f252(x103392),f836(f836(f8(f906(x103392,a895),a895,x103392),f81(x103392)),f836(f836(f7(x103392,f906(x103392,a895),f906(x103392,a895)),f836(f836(f8(f906(x103392,f906(a895,a895)),f906(f906(x103392,a895),f906(x103392,a895)),x103392),f18(x103392,a895,a895)),f836(f836(f8(f906(x103392,a895),f906(x103392,f906(a895,a895)),x103392),f836(f8(a895,f906(a895,a895),x103392),a315)),f836(f836(f7(x103392,f906(x103392,x103392),f906(x103392,a895)),f836(f836(f8(f906(x103392,a895),f906(f906(x103392,x103392),f906(x103392,a895)),x103392),f8(x103392,a895,x103392)),a314)),f836(f223(x103392),x103393))))),f836(f836(f7(x103392,f906(x103392,a895),a895),f318(x103392)),x103391))))),f836(f836(f223(x103392),x103393),f11(x103392,f228(x103392),x103391)))
% 190.77/190.68 [10053]~P111(x100531)+~E(x100533,f2(x100531))+~E(x100532,f2(x100531))+E(f836(f836(f74(x100531),f836(f836(f234(x100531),x100532),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))),f836(f836(f234(x100531),x100533),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))),f2(x100531))
% 190.77/190.68 [10206]~P110(x102061)+~P1(f836(f836(f224(x102061),f2(x102061)),x102063))+P1(f836(f836(f224(x102061),x102062),x102063))+~P1(f836(f836(f224(x102061),f836(f836(f234(x102061),x102062),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))),f836(f836(f234(x102061),x102063),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))))
% 190.77/190.68 [10263]~P111(x102632)+~E(x102631,f2(x102632))+~E(x102633,f2(x102632))+~P1(f836(f836(f225(x102632),f2(x102632)),f836(f836(f74(x102632),f836(f836(f234(x102632),x102633),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87))))),f836(f836(f234(x102632),x102631),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))))))
% 190.77/190.68 [6800]~P7(x68003,x68002)+~P1(f836(x68001,x68004))+~P1(f836(f836(f318(x68003),x68004),f260(x68003,x68002)))+P1(f836(x68001,f799(x68001,x68002,x68003)))
% 190.77/190.68 [8721]P25(x87211,x87212,f803(x87213,x87212,x87214,x87211),x87214,x87213)+~E(f836(f30(x87211),x87214),f836(f30(x87212),x87213))+~P1(f836(f29(x87212),x87213))+~P1(f836(f29(x87211),x87214))
% 190.77/190.68 [9434]E(x94341,x94342)+~E(f624(x94341,x94342,x94344,x94343),f626(x94341,x94342,x94344,x94343))+P1(f836(f836(f318(f905(f900(x94343),f900(x94343))),f836(f836(f242(f900(x94343),f900(x94343)),x94342),x94341)),f137(x94343,x94344)))+P1(f836(f836(f318(f905(f900(x94343),f900(x94343))),f836(f836(f242(f900(x94343),f900(x94343)),x94341),x94342)),f137(x94343,x94344)))
% 190.77/190.68 [4912]~P61(x49122)+~E(x49124,f2(x49122))+~E(x49121,f2(x49122))+E(x49121,f836(f836(f281(x49122),x49123),x49124))
% 190.77/190.68 [4913]~P61(x49131)+~E(x49133,f2(x49131))+~E(x49134,f2(x49131))+E(f836(f836(f281(x49131),x49132),x49133),x49134)
% 190.77/190.68 [5033]~P61(x50332)+E(x50331,f2(x50332))+~E(x50333,f2(x50332))+~E(x50331,f836(f836(f281(x50332),x50334),x50333))
% 190.77/190.68 [5034]~P61(x50342)+E(x50341,f2(x50342))+~E(x50343,f2(x50342))+~E(f836(f836(f281(x50342),x50344),x50343),x50341)
% 190.77/190.68 [5217]~P122(x52172)+E(x52171,f2(x52172))+~E(f836(f836(f281(x52172),x52173),x52171),x52174)+E(x52173,f836(f836(f75(x52172),x52174),x52171))
% 190.77/190.68 [5219]~P122(x52192)+E(x52191,f2(x52192))+~E(f836(f836(f75(x52192),x52193),x52191),x52194)+E(x52193,f836(f836(f281(x52192),x52194),x52191))
% 190.77/190.68 [5220]~P61(x52202)+E(x52201,f2(x52202))+~E(f836(f836(f281(x52202),x52203),x52201),x52204)+E(x52203,f836(f836(f75(x52202),x52204),x52201))
% 190.77/190.68 [5221]~P61(x52212)+E(x52211,f2(x52212))+~E(f836(f836(f75(x52212),x52213),x52211),x52214)+E(x52213,f836(f836(f281(x52212),x52214),x52211))
% 190.77/190.68 [5222]~P122(x52222)+E(x52221,f2(x52222))+~E(x52223,f836(f836(f281(x52222),x52224),x52221))+E(f836(f836(f75(x52222),x52223),x52221),x52224)
% 190.77/190.68 [5224]~P122(x52242)+E(x52241,f2(x52242))+~E(x52243,f836(f836(f75(x52242),x52244),x52241))+E(f836(f836(f281(x52242),x52243),x52241),x52244)
% 190.77/190.68 [5225]~P61(x52252)+E(x52251,f2(x52252))+~E(x52253,f836(f836(f281(x52252),x52254),x52251))+E(f836(f836(f75(x52252),x52253),x52251),x52254)
% 190.77/190.68 [5226]~P61(x52262)+E(x52261,f2(x52262))+~E(x52263,f836(f836(f75(x52262),x52264),x52261))+E(f836(f836(f281(x52262),x52263),x52261),x52264)
% 190.77/190.68 [5250]~P61(x52502)+~E(x52501,f2(x52502))+~E(f836(f836(f75(x52502),x52501),x52504),x52503)+E(x52501,f836(f836(f281(x52502),x52503),x52504))
% 190.77/190.68 [5251]~P61(x52511)+~E(x52514,f2(x52511))+~E(x52512,f836(f836(f75(x52511),x52514),x52513))+E(f836(f836(f281(x52511),x52512),x52513),x52514)
% 190.77/190.68 [5325]~E(x53253,x53254)+~E(x53252,x53253)+~P109(x53251)+E(f293(x53251,x53252,x53253),f836(f836(f299(x53251),x53254),f178(f906(x53251,a895))))
% 190.77/190.68 [5529]~E(f104(x55292,x55291),x55293)+~E(f134(x55292,x55291),x55294)+E(x55291,f103(x55292))+E(f836(f836(f124(x55292),x55293),f836(f836(f141(x55292),x55294),f103(x55292))),x55291)
% 190.77/190.68 [6172]~P110(x61723)+E(x61721,x61722)+~E(f836(f836(f234(x61723),x61724),x61721),f836(f836(f234(x61723),x61724),x61722))+~P1(f836(f836(f225(x61723),f72(x61723)),x61724))
% 190.77/190.68 [6173]E(x61731,x61732)+~E(f836(f836(f299(x61733),x61734),x61731),f836(f836(f299(x61733),x61734),x61732))+P1(f836(f836(f318(x61733),x61734),x61732))+P1(f836(f836(f318(x61733),x61734),x61731))
% 190.77/190.68 [6216]E(f836(x62161,x62162),f2(a899))+~E(f836(f836(f6(x62163,a899),x62161),x62164),f2(a899))+~P1(f836(f29(x62163),x62164))+~P1(f836(f836(f318(x62163),x62162),x62164))
% 190.77/190.68 [6217]E(f836(x62171,x62172),f72(a899))+~E(f836(f836(f9(x62173,a899),x62171),x62174),f72(a899))+~P1(f836(f29(x62173),x62174))+~P1(f836(f836(f318(x62173),x62172),x62174))
% 190.77/190.68 [6445]~P109(x64451)+~P1(f836(f836(f224(x64451),x64454),x64453))+P1(f836(f836(f224(x64451),x64452),x64453))+~P1(f836(f836(f224(x64451),x64452),x64454))
% 190.77/190.68 [6446]~P81(x64461)+~P1(f836(f836(f224(x64461),x64462),x64464))+P1(f836(f836(f224(x64461),x64462),x64463))+~P1(f836(f836(f224(x64461),x64464),x64463))
% 190.77/190.68 [6447]~P109(x64471)+~P1(f836(f836(f225(x64471),x64474),x64473))+P1(f836(f836(f225(x64471),x64472),x64473))+~P1(f836(f836(f224(x64471),x64472),x64474))
% 190.77/190.68 [6448]~P109(x64481)+~P1(f836(f836(f225(x64481),x64482),x64484))+P1(f836(f836(f225(x64481),x64482),x64483))+~P1(f836(f836(f224(x64481),x64484),x64483))
% 190.77/190.68 [6449]~P109(x64491)+~P1(f836(f836(f225(x64491),x64494),x64493))+P1(f836(f836(f225(x64491),x64492),x64493))+~P1(f836(f836(f225(x64491),x64492),x64494))
% 190.77/190.68 [6450]~P81(x64501)+~P1(f836(f836(f225(x64501),x64502),x64504))+P1(f836(f836(f225(x64501),x64502),x64503))+~P1(f836(f836(f224(x64501),x64504),x64503))
% 190.77/190.68 [6451]~P81(x64511)+~P1(f836(f836(f225(x64511),x64514),x64513))+P1(f836(f836(f225(x64511),x64512),x64513))+~P1(f836(f836(f224(x64511),x64512),x64514))
% 190.77/190.68 [6452]~P81(x64521)+~P1(f836(f836(f225(x64521),x64522),x64524))+P1(f836(f836(f225(x64521),x64522),x64523))+~P1(f836(f836(f225(x64521),x64524),x64523))
% 190.77/190.68 [6453]~P112(x64531)+~P1(f836(f836(f277(x64531),x64532),x64534))+P1(f836(f836(f277(x64531),x64532),x64533))+~P1(f836(f836(f277(x64531),x64534),x64533))
% 190.77/190.68 [6536]~P34(x65364,x65363,x65362)+E(x65361,f736(x65362,x65363,x65364))+~P1(f836(x65363,x65361))+~P1(f836(f836(f318(x65364),x65361),f836(f162(x65364),x65362)))
% 190.77/190.68 [6537]~P34(x65374,x65373,x65372)+E(x65371,f746(x65372,x65373,x65374))+~P1(f836(x65373,x65371))+~P1(f836(f836(f318(x65374),x65371),f836(f162(x65374),x65372)))
% 190.77/190.68 [6691]~P5(x66911)+~P1(f836(f836(f224(x66911),x66912),f33(x66911,x66914)))+P1(f836(f836(f224(x66911),x66912),x66913))+~P1(f836(f836(f318(x66911),x66913),x66914))
% 190.77/190.68 [6843]~P108(x68431)+~P13(x68431,f836(f836(f141(x68431),x68432),x68434))+~P1(f836(f836(f318(x68431),x68433),f836(f162(x68431),x68434)))+P1(f836(f836(f224(x68431),x68432),x68433))
% 190.77/190.68 [6933]~P5(x69331)+~P1(f836(f836(f224(x69331),f32(x69331,x69334)),x69333))+P1(f836(f836(f224(x69331),x69332),x69333))+~P1(f836(f836(f318(x69331),x69332),x69334))
% 190.77/190.68 [7079]~P3(x70791)+P1(f836(f836(f277(x70791),x70792),f41(x70791,x70793,x70794)))+~P1(f836(f836(f277(x70791),x70792),x70794))+~P1(f836(f836(f277(x70791),x70792),x70793))
% 190.77/190.68 [7343]~P108(x73431)+E(f836(f836(f91(f906(x73431,a895)),f836(f292(x73431,x73432),x73433)),f836(f292(x73431,x73433),x73434)),f836(f292(x73431,x73432),x73434))+~P1(f836(f836(f224(x73431),x73433),x73434))+~P1(f836(f836(f224(x73431),x73432),x73433))
% 190.77/190.68 [7387]P34(x73871,x73872,x73873)+~E(f745(x73873,x73872,x73871,x73874),x73874)+~P1(f836(x73872,x73874))+~P1(f836(f836(f318(x73871),x73874),f836(f162(x73871),x73873)))
% 190.77/190.68 [7388]P34(x73881,x73882,x73883)+~E(f754(x73883,x73882,x73881,x73884),x73884)+~P1(f836(x73882,x73884))+~P1(f836(f836(f318(x73881),x73884),f836(f162(x73881),x73883)))
% 190.77/190.68 [7431]~P3(x74311)+~P1(f836(f836(f277(x74311),x74312),f41(x74311,x74313,x74314)))+P1(f836(f836(f277(x74311),x74312),x74313))+~P1(f836(f836(f277(x74311),x74312),x74314))
% 190.77/190.68 [7465]~P108(x74651)+E(f836(f836(f91(f906(x74651,a895)),f836(f292(x74651,x74652),x74653)),f293(x74651,x74653,x74654)),f293(x74651,x74652,x74654))+~P1(f836(f836(f224(x74651),x74653),x74654))+~P1(f836(f836(f224(x74651),x74652),x74653))
% 190.77/190.68 [7527]~P108(x75271)+E(f836(f836(f91(f906(x75271,a895)),f296(x75271,x75272,x75273)),f836(f292(x75271,x75273),x75274)),f296(x75271,x75272,x75274))+~P1(f836(f836(f224(x75271),x75273),x75274))+~P1(f836(f836(f225(x75271),x75272),x75273))
% 190.77/190.68 [7544]~P108(x75441)+E(f836(f836(f91(f906(x75441,a895)),f293(x75441,x75442,x75443)),f296(x75441,x75443,x75444)),f836(f292(x75441,x75442),x75444))+~P1(f836(f836(f224(x75441),x75442),x75443))+~P1(f836(f836(f225(x75441),x75443),x75444))
% 190.77/190.68 [7574]~P108(x75741)+E(f836(f836(f91(f906(x75741,a895)),f296(x75741,x75742,x75743)),f293(x75741,x75743,x75744)),f295(x75741,x75742,x75744))+~P1(f836(f836(f224(x75741),x75743),x75744))+~P1(f836(f836(f225(x75741),x75742),x75743))
% 190.77/190.68 [7575]~P108(x75751)+E(f836(f836(f91(f906(x75751,a895)),f295(x75751,x75752,x75753)),f296(x75751,x75753,x75754)),f296(x75751,x75752,x75754))+~P1(f836(f836(f224(x75751),x75752),x75753))+~P1(f836(f836(f225(x75751),x75753),x75754))
% 190.77/190.68 [7576]~P108(x75761)+E(f836(f836(f91(f906(x75761,a895)),f295(x75761,x75762,x75763)),f295(x75761,x75763,x75764)),f295(x75761,x75762,x75764))+~P1(f836(f836(f224(x75761),x75763),x75764))+~P1(f836(f836(f224(x75761),x75762),x75763))
% 190.77/190.68 [7577]~P108(x75771)+E(f836(f836(f91(f906(x75771,a895)),f293(x75771,x75772,x75773)),f295(x75771,x75773,x75774)),f293(x75771,x75772,x75774))+~P1(f836(f836(f224(x75771),x75773),x75774))+~P1(f836(f836(f224(x75771),x75772),x75773))
% 190.77/190.68 [8367]P24(x83671,x83672,f421(x83673,x83672,x83674,x83671),x83674)+~P1(f836(f29(x83672),x83673))+~P1(f836(f29(x83671),x83674))+~P1(f836(f836(f224(a899),f836(f30(x83671),x83674)),f836(f30(x83672),x83673)))
% 190.77/190.68 [8388]P34(x83881,x83882,x83883)+~P1(f836(x83882,x83884))+P1(f836(x83882,f745(x83883,x83882,x83881,x83884)))+~P1(f836(f836(f318(x83881),x83884),f836(f162(x83881),x83883)))
% 190.77/190.68 [8389]P34(x83891,x83892,x83893)+~P1(f836(x83892,x83894))+P1(f836(x83892,f754(x83893,x83892,x83891,x83894)))+~P1(f836(f836(f318(x83891),x83894),f836(f162(x83891),x83893)))
% 190.77/190.68 [8443]~P74(x84431)+~E(f836(x84433,f555(x84433,x84434,x84432,x84431)),f72(x84431))+E(f836(f836(f836(f60(x84431,x84432,f75(x84431)),x84433),f72(x84431)),x84434),f72(x84431))+~P1(f836(f29(x84432),x84434))
% 190.77/190.68 [8710]~P110(x87101)+~P1(f836(f836(f224(x87101),f2(x87101)),x87103))+P1(f836(f836(f224(x87101),x87102),x87103))+~P1(f836(f836(f224(x87101),f836(f836(f234(x87101),x87102),f836(a102,x87104))),f836(f836(f234(x87101),x87103),f836(a102,x87104))))
% 190.77/190.68 [9028]P34(x90281,x90282,x90283)+~P1(f836(x90282,x90284))+~P1(f836(f836(f318(x90281),x90284),f836(f162(x90281),x90283)))+P1(f836(f836(f318(x90281),f745(x90283,x90282,x90281,x90284)),f836(f162(x90281),x90283)))
% 190.77/190.68 [9029]P34(x90291,x90292,x90293)+~P1(f836(x90292,x90294))+~P1(f836(f836(f318(x90291),x90294),f836(f162(x90291),x90293)))+P1(f836(f836(f318(x90291),f754(x90293,x90292,x90291,x90294)),f836(f162(x90291),x90293)))
% 190.77/190.68 [9105]~P74(x91051)+E(f836(f836(f836(f60(x91051,x91052,f75(x91051)),x91053),f72(x91051)),x91054),f72(x91051))+~P1(f836(f29(x91052),x91054))+P1(f836(f836(f318(x91052),f555(x91053,x91054,x91052,x91051)),x91054))
% 190.77/190.68 [9369]~P8(x93692,x93693,x93694)+~P1(f836(f29(x93692),x93693))+~P1(f836(f836(f277(a899),x93691),f836(f30(x93692),f834(x93691,x93694,x93693,x93692))))+P1(f836(f836(f277(a899),x93691),f836(f30(x93692),x93693)))
% 190.77/190.68 [9608]~P1(f836(f836(f277(a899),x96081),x96083))+~P1(f836(f836(f277(a899),x96081),x96082))+~P1(f836(f836(f277(a899),x96084),x96083))+~P1(f836(f836(f225(f906(a899,a895)),f280(a899,f277(a899),x96081,x96083)),f280(a899,f277(a899),x96082,x96084)))
% 190.77/190.68 [9613]~P1(f836(f836(f224(a1),x96134),f2(a1)))+P1(f836(f836(f224(a1),f836(f836(f74(a1),f836(f836(f75(a1),x96131),f41(a1,x96132,x96133))),x96134)),f2(a1)))+~P1(f836(f836(f225(a1),f2(a1)),x96133))+~P1(f836(f836(f225(a1),x96131),x96134))
% 190.77/190.68 [10046]~P1(f836(f29(x100461),x100462))+~P1(f836(f836(f318(x100461),x100464),x100462))+~P1(f836(f836(f318(x100461),x100463),x100462))+P1(f836(f836(f225(a899),f836(f30(x100461),f836(f836(f23(f906(x100461,a895)),f836(f836(f23(f906(x100461,a895)),x100462),f836(f836(f299(x100461),x100463),f178(f906(x100461,a895))))),f836(f836(f299(x100461),x100464),f178(f906(x100461,a895)))))),f836(f30(x100461),x100462)))
% 190.77/190.68 [6991]~P145(x69913)+~P121(x69913)+P1(f836(x69911,f831(x69912,x69911,x69913)))+~P1(f836(x69911,f836(f836(f75(x69913),x69912),x69914)))
% 190.77/190.68 [7051]~P108(x70511)+~P1(f836(f836(f224(x70511),x70512),x70514))+~P1(f836(f836(f224(x70511),x70512),x70513))+P1(f836(f836(f224(x70511),x70512),f836(f836(f228(x70511),x70513),x70514)))
% 190.77/190.68 [7054]~P104(x70541)+~P1(f836(f836(f224(x70541),x70542),x70544))+~P1(f836(f836(f224(x70541),x70542),x70543))+P1(f836(f836(f224(x70541),x70542),f836(f836(f92(x70541),x70543),x70544)))
% 190.77/190.68 [7055]~P108(x70551)+~P1(f836(f836(f225(x70551),x70552),x70554))+~P1(f836(f836(f225(x70551),x70552),x70553))+P1(f836(f836(f225(x70551),x70552),f836(f836(f228(x70551),x70553),x70554)))
% 190.77/190.68 [7056]~P114(x70561)+~P1(f836(f836(f277(x70561),x70562),x70564))+~P1(f836(f836(f277(x70561),x70562),x70563))+P1(f836(f836(f277(x70561),x70562),f836(f836(f23(x70561),x70563),x70564)))
% 190.77/190.68 [7057]~P112(x70571)+~P1(f836(f836(f277(x70571),x70572),x70574))+~P1(f836(f836(f277(x70571),x70572),x70573))+P1(f836(f836(f277(x70571),x70572),f836(f836(f74(x70571),x70573),x70574)))
% 190.77/190.68 [7077]~P62(x70772)+E(x70771,f2(x70772))+E(f836(f836(f281(x70772),f836(f836(f234(x70772),x70771),x70773)),f836(f836(f234(x70772),x70771),x70774)),f836(f836(f234(x70772),x70771),f836(f836(f23(a899),x70773),x70774)))+~P1(f836(f836(f224(a899),x70774),x70773))
% 190.77/190.68 [7123]~P108(x71231)+~P13(x71231,f836(f836(f141(x71231),x71233),x71234))+P13(x71231,f836(f836(f141(x71231),x71232),f836(f836(f141(x71231),x71233),x71234)))+~P1(f836(f836(f224(x71231),x71232),x71233))
% 190.77/190.68 [7159]~P88(x71591)+~P1(f836(f836(f224(x71591),f2(x71591)),x71594))+~P1(f836(f836(f224(x71591),x71592),x71593))+P1(f836(f836(f224(x71591),x71592),f836(f836(f74(x71591),x71593),x71594)))
% 190.77/190.68 [7160]~P88(x71601)+~P1(f836(f836(f224(x71601),f2(x71601)),x71603))+~P1(f836(f836(f224(x71601),x71602),x71604))+P1(f836(f836(f224(x71601),x71602),f836(f836(f74(x71601),x71603),x71604)))
% 190.77/190.68 [7161]~P110(x71611)+~P1(f836(f836(f225(x71611),f2(x71611)),x71613))+~P1(f836(f836(f225(x71611),x71612),x71614))+P1(f836(f836(f225(x71611),x71612),f836(f836(f74(x71611),x71613),x71614)))
% 190.77/190.68 [7162]~P88(x71621)+~P1(f836(f836(f224(x71621),x71622),x71624))+~P1(f836(f836(f225(x71621),f2(x71621)),x71623))+P1(f836(f836(f225(x71621),x71622),f836(f836(f74(x71621),x71623),x71624)))
% 190.77/190.68 [7163]~P88(x71631)+~P1(f836(f836(f224(x71631),f2(x71631)),x71633))+~P1(f836(f836(f225(x71631),x71632),x71634))+P1(f836(f836(f225(x71631),x71632),f836(f836(f74(x71631),x71633),x71634)))
% 190.77/190.68 [7204]~P108(x72041)+P1(f836(f836(f224(x72041),x72042),x72043))+P1(f836(f836(f224(x72041),x72042),x72044))+~P1(f836(f836(f224(x72041),x72042),f836(f836(f223(x72041),x72044),x72043)))
% 190.77/190.68 [7205]~P108(x72051)+P1(f836(f836(f225(x72051),x72052),x72053))+P1(f836(f836(f225(x72051),x72052),x72054))+~P1(f836(f836(f225(x72051),x72052),f836(f836(f223(x72051),x72054),x72053)))
% 190.77/190.68 [7499]~P109(x74992)+~P60(x74991)+~P1(f836(f836(f225(f906(x74991,x74992)),x74993),x74994))+P1(f836(f836(f224(f906(x74991,x74992)),x74993),x74994))
% 190.77/190.68 [7865]~P64(x78651)+~P1(f836(f836(f225(x78651),x78654),f2(x78651)))+~P1(f836(f836(f224(x78651),x78653),f836(f836(f281(x78651),x78652),x78654)))+P1(f836(f836(f224(x78651),x78652),f836(f836(f75(x78651),x78653),x78654)))
% 190.77/190.68 [7866]~P64(x78661)+~P1(f836(f836(f225(x78661),x78664),f2(x78661)))+~P1(f836(f836(f224(x78661),x78663),f836(f836(f75(x78661),x78662),x78664)))+P1(f836(f836(f224(x78661),x78662),f836(f836(f281(x78661),x78663),x78664)))
% 190.77/190.68 [7867]~P64(x78671)+~P1(f836(f836(f225(x78671),x78674),f2(x78671)))+~P1(f836(f836(f225(x78671),x78673),f836(f836(f281(x78671),x78672),x78674)))+P1(f836(f836(f225(x78671),x78672),f836(f836(f75(x78671),x78673),x78674)))
% 190.77/190.68 [7868]~P64(x78681)+~P1(f836(f836(f225(x78681),x78684),f2(x78681)))+~P1(f836(f836(f225(x78681),x78683),f836(f836(f75(x78681),x78682),x78684)))+P1(f836(f836(f225(x78681),x78682),f836(f836(f281(x78681),x78683),x78684)))
% 190.77/190.68 [7975]~P126(x79751)+~P1(f836(f836(f225(x79751),x79752),f2(x79751)))+~P1(f836(f836(f224(x79751),x79754),x79753))+P1(f836(f836(f224(x79751),f836(f836(f75(x79751),x79752),x79753)),f836(f836(f75(x79751),x79752),x79754)))
% 190.77/190.68 [7976]~P137(x79761)+~P1(f836(f836(f224(x79761),x79762),f2(x79761)))+~P1(f836(f836(f224(x79761),x79764),x79763))+P1(f836(f836(f224(x79761),f836(f836(f75(x79761),x79762),x79763)),f836(f836(f75(x79761),x79762),x79764)))
% 190.77/190.68 [7977]~P137(x79771)+~P1(f836(f836(f224(x79771),x79773),f2(x79771)))+~P1(f836(f836(f224(x79771),x79774),x79772))+P1(f836(f836(f224(x79771),f836(f836(f75(x79771),x79772),x79773)),f836(f836(f75(x79771),x79774),x79773)))
% 190.77/190.68 [7978]~P63(x79781)+~P1(f836(f836(f224(x79781),x79783),f2(x79781)))+~P1(f836(f836(f224(x79781),x79784),x79782))+P1(f836(f836(f224(x79781),f836(f836(f281(x79781),x79782),x79783)),f836(f836(f281(x79781),x79784),x79783)))
% 190.77/190.68 [7982]~P126(x79821)+~P1(f836(f836(f225(x79821),x79823),f2(x79821)))+~P1(f836(f836(f225(x79821),x79824),x79822))+P1(f836(f836(f225(x79821),f836(f836(f75(x79821),x79822),x79823)),f836(f836(f75(x79821),x79824),x79823)))
% 190.77/190.68 [7983]~P126(x79831)+~P1(f836(f836(f225(x79831),x79832),f2(x79831)))+~P1(f836(f836(f225(x79831),x79834),x79833))+P1(f836(f836(f225(x79831),f836(f836(f75(x79831),x79832),x79833)),f836(f836(f75(x79831),x79832),x79834)))
% 190.77/190.68 [7984]~P64(x79841)+~P1(f836(f836(f225(x79841),x79843),f2(x79841)))+~P1(f836(f836(f225(x79841),x79844),x79842))+P1(f836(f836(f225(x79841),f836(f836(f281(x79841),x79842),x79843)),f836(f836(f281(x79841),x79844),x79843)))
% 190.77/190.68 [7985]~P110(x79851)+~P1(f836(f836(f225(x79851),f72(x79851)),x79852))+~P1(f836(f836(f224(a899),x79853),x79854))+P1(f836(f836(f224(x79851),f836(f836(f234(x79851),x79852),x79853)),f836(f836(f234(x79851),x79852),x79854)))
% 190.77/190.68 [7986]~P110(x79861)+~P1(f836(f836(f224(x79861),f72(x79861)),x79862))+~P1(f836(f836(f224(a899),x79863),x79864))+P1(f836(f836(f224(x79861),f836(f836(f234(x79861),x79862),x79863)),f836(f836(f234(x79861),x79862),x79864)))
% 190.77/190.68 [7988]~P110(x79881)+~P1(f836(f836(f225(x79881),f72(x79881)),x79882))+~P1(f836(f836(f225(a899),x79883),x79884))+P1(f836(f836(f225(x79881),f836(f836(f234(x79881),x79882),x79883)),f836(f836(f234(x79881),x79882),x79884)))
% 190.77/190.68 [8015]P1(f836(f836(f225(a899),f2(a899)),f836(x80151,x80152)))+~P1(f836(f29(x80153),x80154))+~P1(f836(f836(f318(x80153),x80152),x80154))+~P1(f836(f836(f225(a899),f2(a899)),f836(f836(f9(x80153,a899),x80151),x80154)))
% 190.77/190.68 [8024]~P126(x80241)+~P1(f836(f836(f225(x80241),f2(x80241)),x80242))+~P1(f836(f836(f224(x80241),x80243),x80244))+P1(f836(f836(f224(x80241),f836(f836(f75(x80241),x80242),x80243)),f836(f836(f75(x80241),x80242),x80244)))
% 190.77/190.68 [8025]~P139(x80251)+~P1(f836(f836(f224(x80251),x80253),x80254))+~P1(f836(f836(f224(x80251),f2(x80251)),x80252))+P1(f836(f836(f224(x80251),f836(f836(f75(x80251),x80252),x80253)),f836(f836(f75(x80251),x80252),x80254)))
% 190.77/190.68 [8026]~P138(x80261)+~P1(f836(f836(f224(x80261),x80263),x80264))+~P1(f836(f836(f224(x80261),f2(x80261)),x80262))+P1(f836(f836(f224(x80261),f836(f836(f75(x80261),x80262),x80263)),f836(f836(f75(x80261),x80262),x80264)))
% 190.77/190.68 [8027]~P139(x80271)+~P1(f836(f836(f224(x80271),x80272),x80274))+~P1(f836(f836(f224(x80271),f2(x80271)),x80273))+P1(f836(f836(f224(x80271),f836(f836(f75(x80271),x80272),x80273)),f836(f836(f75(x80271),x80274),x80273)))
% 190.77/190.68 [8028]~P110(x80281)+~P1(f836(f836(f224(x80281),x80282),x80284))+~P1(f836(f836(f224(x80281),f2(x80281)),x80282))+P1(f836(f836(f224(x80281),f836(f836(f234(x80281),x80282),x80283)),f836(f836(f234(x80281),x80284),x80283)))
% 190.77/190.68 [8029]~P63(x80291)+~P1(f836(f836(f224(x80291),x80292),x80294))+~P1(f836(f836(f224(x80291),f2(x80291)),x80293))+P1(f836(f836(f224(x80291),f836(f836(f281(x80291),x80292),x80293)),f836(f836(f281(x80291),x80294),x80293)))
% 190.77/190.68 [8031]~P134(x80311)+~P1(f836(f836(f225(x80311),x80313),x80314))+~P1(f836(f836(f225(x80311),f2(x80311)),x80312))+P1(f836(f836(f225(x80311),f836(f836(f75(x80311),x80312),x80313)),f836(f836(f75(x80311),x80312),x80314)))
% 190.77/190.68 [8032]~P119(x80321)+~P1(f836(f836(f225(x80321),x80323),x80324))+~P1(f836(f836(f225(x80321),f2(x80321)),x80322))+P1(f836(f836(f225(x80321),f836(f836(f75(x80321),x80322),x80323)),f836(f836(f75(x80321),x80322),x80324)))
% 190.77/190.68 [8033]~P126(x80331)+~P1(f836(f836(f225(x80331),x80332),x80334))+~P1(f836(f836(f225(x80331),f2(x80331)),x80333))+P1(f836(f836(f225(x80331),f836(f836(f75(x80331),x80332),x80333)),f836(f836(f75(x80331),x80334),x80333)))
% 190.77/190.68 [8034]~P134(x80341)+~P1(f836(f836(f225(x80341),x80342),x80344))+~P1(f836(f836(f225(x80341),f2(x80341)),x80343))+P1(f836(f836(f225(x80341),f836(f836(f75(x80341),x80342),x80343)),f836(f836(f75(x80341),x80344),x80343)))
% 190.77/190.68 [8035]~P126(x80351)+~P1(f836(f836(f225(x80351),x80353),x80354))+~P1(f836(f836(f225(x80351),f2(x80351)),x80352))+P1(f836(f836(f225(x80351),f836(f836(f75(x80351),x80352),x80353)),f836(f836(f75(x80351),x80352),x80354)))
% 190.77/190.68 [8036]~P64(x80361)+~P1(f836(f836(f225(x80361),x80362),x80364))+~P1(f836(f836(f225(x80361),f2(x80361)),x80363))+P1(f836(f836(f225(x80361),f836(f836(f281(x80361),x80362),x80363)),f836(f836(f281(x80361),x80364),x80363)))
% 190.77/190.68 [8078]~P107(x80782)+P1(f836(f836(f225(f906(x80781,x80782)),x80784),x80783))+~P1(f836(f836(f224(f906(x80781,x80782)),x80784),x80783))+P1(f836(f836(f224(f906(x80781,x80782)),x80783),x80784))
% 190.77/190.68 [8118]P1(f836(f836(f318(x81181),x81182),x81183))+P1(f836(f836(f318(x81181),x81182),x81184))+~P1(f836(f836(f224(f906(x81181,a895)),x81184),x81183))+P1(f836(f836(f225(f906(x81181,a895)),x81184),f836(f836(f299(x81181),x81182),x81183)))
% 190.77/190.68 [8229]~P120(x82292)+E(x82291,f2(x82292))+P1(f836(f836(f277(x82292),x82293),x82294))+~P1(f836(f836(f277(x82292),f836(f836(f75(x82292),x82293),x82291)),f836(f836(f75(x82292),x82294),x82291)))
% 190.77/190.68 [8230]~P120(x82302)+E(x82301,f2(x82302))+P1(f836(f836(f277(x82302),x82303),x82304))+~P1(f836(f836(f277(x82302),f836(f836(f75(x82302),x82301),x82303)),f836(f836(f75(x82302),x82301),x82304)))
% 190.77/190.68 [8279]P1(f836(f836(f318(x82791),x82792),x82793))+P1(f836(f836(f318(x82791),x82792),x82794))+~P1(f836(f836(f225(f906(x82791,a895)),x82794),f836(f836(f299(x82791),x82792),x82793)))+P1(f836(f836(f224(f906(x82791,a895)),x82794),x82793))
% 190.77/190.68 [8344]~P126(x83441)+P1(f836(f836(f225(x83441),x83443),x83442))+P1(f836(f836(f225(x83441),x83442),x83443))+~P1(f836(f836(f225(x83441),f836(f836(f75(x83441),x83444),x83442)),f836(f836(f75(x83441),x83444),x83443)))
% 190.77/190.68 [8345]~P126(x83451)+P1(f836(f836(f225(x83451),x83453),x83452))+P1(f836(f836(f225(x83451),x83452),x83453))+~P1(f836(f836(f225(x83451),f836(f836(f75(x83451),x83452),x83454)),f836(f836(f75(x83451),x83453),x83454)))
% 190.77/190.68 [8357]~P126(x83571)+P1(f836(f836(f225(x83571),x83574),f2(x83571)))+P1(f836(f836(f225(x83571),x83572),x83573))+~P1(f836(f836(f225(x83571),f836(f836(f75(x83571),x83572),x83574)),f836(f836(f75(x83571),x83573),x83574)))
% 190.77/190.68 [8358]~P126(x83581)+P1(f836(f836(f225(x83581),x83584),f2(x83581)))+P1(f836(f836(f225(x83581),x83582),x83583))+~P1(f836(f836(f225(x83581),f836(f836(f75(x83581),x83584),x83582)),f836(f836(f75(x83581),x83584),x83583)))
% 190.77/190.68 [8361]~P126(x83611)+P1(f836(f836(f225(x83611),x83612),x83613))+P1(f836(f836(f225(x83611),f2(x83611)),x83614))+~P1(f836(f836(f225(x83611),f836(f836(f75(x83611),x83614),x83613)),f836(f836(f75(x83611),x83614),x83612)))
% 190.77/190.68 [8362]~P126(x83621)+P1(f836(f836(f225(x83621),x83622),x83623))+P1(f836(f836(f225(x83621),f2(x83621)),x83624))+~P1(f836(f836(f225(x83621),f836(f836(f75(x83621),x83623),x83624)),f836(f836(f75(x83621),x83622),x83624)))
% 190.77/190.68 [8375]~P126(x83751)+P1(f836(f836(f225(x83751),x83752),f2(x83751)))+P1(f836(f836(f225(x83751),f2(x83751)),x83752))+~P1(f836(f836(f225(x83751),f836(f836(f75(x83751),x83753),x83752)),f836(f836(f75(x83751),x83754),x83752)))
% 190.77/190.68 [8376]~P126(x83761)+P1(f836(f836(f225(x83761),x83762),f2(x83761)))+P1(f836(f836(f225(x83761),f2(x83761)),x83762))+~P1(f836(f836(f225(x83761),f836(f836(f75(x83761),x83762),x83763)),f836(f836(f75(x83761),x83762),x83764)))
% 190.77/190.68 [8405]~P126(x84051)+~P1(f836(f836(f225(x84051),x84054),f2(x84051)))+P1(f836(f836(f224(x84051),x84052),x84053))+~P1(f836(f836(f224(x84051),f836(f836(f75(x84051),x84054),x84053)),f836(f836(f75(x84051),x84054),x84052)))
% 190.77/190.68 [8406]~P126(x84061)+~P1(f836(f836(f225(x84061),x84064),f2(x84061)))+P1(f836(f836(f225(x84061),x84062),x84063))+~P1(f836(f836(f225(x84061),f836(f836(f75(x84061),x84064),x84063)),f836(f836(f75(x84061),x84064),x84062)))
% 190.77/190.68 [8417]~P110(x84173)+~P1(f836(f836(f225(x84173),f72(x84173)),x84174))+P1(f836(f836(f224(a899),x84171),x84172))+~P1(f836(f836(f224(x84173),f836(f836(f234(x84173),x84174),x84171)),f836(f836(f234(x84173),x84174),x84172)))
% 190.77/190.68 [8419]~P110(x84193)+~P1(f836(f836(f225(x84193),f72(x84193)),x84194))+P1(f836(f836(f225(a899),x84191),x84192))+~P1(f836(f836(f225(x84193),f836(f836(f234(x84193),x84194),x84191)),f836(f836(f234(x84193),x84194),x84192)))
% 190.77/190.68 [8429]~P126(x84291)+P1(f836(f836(f224(x84291),x84292),x84293))+~P1(f836(f836(f225(x84291),f2(x84291)),x84294))+~P1(f836(f836(f224(x84291),f836(f836(f75(x84291),x84294),x84292)),f836(f836(f75(x84291),x84294),x84293)))
% 190.77/190.68 [8430]~P134(x84301)+P1(f836(f836(f224(x84301),x84302),x84303))+~P1(f836(f836(f225(x84301),f2(x84301)),x84304))+~P1(f836(f836(f224(x84301),f836(f836(f75(x84301),x84304),x84302)),f836(f836(f75(x84301),x84304),x84303)))
% 190.77/190.68 [8431]~P134(x84311)+P1(f836(f836(f224(x84311),x84312),x84313))+~P1(f836(f836(f225(x84311),f2(x84311)),x84314))+~P1(f836(f836(f224(x84311),f836(f836(f75(x84311),x84312),x84314)),f836(f836(f75(x84311),x84313),x84314)))
% 190.77/190.68 [8432]~P126(x84321)+P1(f836(f836(f225(x84321),x84322),x84323))+~P1(f836(f836(f225(x84321),f2(x84321)),x84324))+~P1(f836(f836(f225(x84321),f836(f836(f75(x84321),x84324),x84322)),f836(f836(f75(x84321),x84324),x84323)))
% 190.77/190.68 [8433]~P134(x84331)+P1(f836(f836(f225(x84331),x84332),x84333))+~P1(f836(f836(f224(x84331),f2(x84331)),x84334))+~P1(f836(f836(f225(x84331),f836(f836(f75(x84331),x84334),x84332)),f836(f836(f75(x84331),x84334),x84333)))
% 190.77/190.68 [8434]~P130(x84341)+P1(f836(f836(f225(x84341),x84342),x84343))+~P1(f836(f836(f224(x84341),f2(x84341)),x84344))+~P1(f836(f836(f225(x84341),f836(f836(f75(x84341),x84344),x84342)),f836(f836(f75(x84341),x84344),x84343)))
% 190.77/190.68 [8435]~P110(x84351)+~P1(f836(f836(f224(x84351),f2(x84351)),x84353))+P1(f836(f836(f225(x84351),x84352),x84353))+~P1(f836(f836(f225(x84351),f836(f836(f234(x84351),x84352),x84354)),f836(f836(f234(x84351),x84353),x84354)))
% 190.77/190.68 [8436]~P134(x84361)+P1(f836(f836(f225(x84361),x84362),x84363))+~P1(f836(f836(f224(x84361),f2(x84361)),x84364))+~P1(f836(f836(f225(x84361),f836(f836(f75(x84361),x84362),x84364)),f836(f836(f75(x84361),x84363),x84364)))
% 190.77/190.68 [8437]~P130(x84371)+P1(f836(f836(f225(x84371),x84372),x84373))+~P1(f836(f836(f224(x84371),f2(x84371)),x84374))+~P1(f836(f836(f225(x84371),f836(f836(f75(x84371),x84372),x84374)),f836(f836(f75(x84371),x84373),x84374)))
% 190.77/190.68 [8481]P1(f836(f836(f318(x84811),x84812),x84813))+~P1(f836(f836(f224(f906(x84811,a895)),x84813),x84814))+~P1(f836(f836(f225(f906(x84811,a895)),x84813),x84814))+P1(f836(f836(f225(f906(x84811,a895)),x84813),f836(f836(f299(x84811),x84812),x84814)))
% 190.77/190.68 [8513]~P145(x85131)+~P121(x85131)+P1(f836(f836(f277(x85131),x85132),f836(f836(f74(x85131),f831(x85132,x85133,x85131)),f2(x85131))))+~P1(f836(x85133,f836(f836(f75(x85131),x85132),x85134)))
% 190.77/190.68 [8860]E(f836(f836(f23(a1),f366(x88601,x88602,x88603,x88604)),f367(x88601,x88602,x88603,x88604)),x88604)+~P1(f836(f836(f225(a1),f2(a1)),x88603))+~P1(f836(f836(f224(a1),x88601),x88604))+P1(f836(f836(f224(a1),x88601),f836(f836(f74(a1),x88604),x88603)))
% 190.77/190.68 [8861]E(f836(f836(f23(a1),f384(x88611,x88612,x88613,x88614)),f385(x88611,x88612,x88613,x88614)),x88614)+~P1(f836(f836(f225(a1),f2(a1)),x88613))+~P1(f836(f836(f225(a1),x88611),x88614))+P1(f836(f836(f225(a1),x88611),f836(f836(f74(a1),x88614),x88613)))
% 190.77/190.68 [9011]~E(f836(f836(f154(x90111),x90113),f653(x90114,x90113,x90111,x90112)),f836(f836(f154(x90111),x90114),f653(x90114,x90113,x90111,x90112)))+E(f836(f836(f165(x90111),x90112),x90113),f836(f836(f165(x90111),x90112),x90114))+~P1(f836(f836(f224(a899),x90112),f836(f179(f900(x90111)),x90113)))+~P1(f836(f836(f224(a899),x90112),f836(f179(f900(x90111)),x90114)))
% 190.77/190.68 [9073]~P1(f836(f836(f225(a1),f2(a1)),x90733))+~P1(f836(f836(f224(a1),x90731),x90734))+P1(f836(f836(f318(a1),f366(x90731,x90732,x90733,x90734)),x90732))+P1(f836(f836(f224(a1),x90731),f836(f836(f74(a1),x90734),x90733)))
% 190.77/190.68 [9074]~P1(f836(f836(f225(a1),f2(a1)),x90743))+~P1(f836(f836(f225(a1),x90741),x90744))+P1(f836(f836(f318(a1),f384(x90741,x90742,x90743,x90744)),x90742))+P1(f836(f836(f225(a1),x90741),f836(f836(f74(a1),x90744),x90743)))
% 190.77/190.68 [9114]~P108(x91141)+~P1(f836(f29(x91141),x91143))+~P1(f836(f836(f318(x91141),x91144),x91143))+P1(f836(f836(f224(x91141),f836(f836(f59(x91141,x91141,f228(x91141)),x91142),x91143)),f836(f836(f228(x91141),x91144),x91142)))
% 190.77/190.68 [9115]~P104(x91151)+~P1(f836(f29(x91151),x91153))+~P1(f836(f836(f318(x91151),x91154),x91153))+P1(f836(f836(f224(x91151),f836(f836(f59(x91151,x91151,f92(x91151)),x91152),x91153)),f836(f836(f92(x91151),x91154),x91152)))
% 190.77/190.68 [9122]~P8(x91222,x91223,x91224)+~P1(f836(f29(x91222),x91223))+P1(f836(f836(f277(a899),x91221),f836(f30(x91222),x91223)))+P1(f836(f836(f318(f906(x91222,a895)),f834(x91221,x91224,x91223,x91222)),f836(f836(f56(x91222),x91223),x91224)))
% 190.77/190.68 [9160]E(f836(f836(f165(x91601),x91602),x91603),f836(f836(f165(x91601),x91602),x91604))+P1(f836(f836(f225(a899),f653(x91603,x91604,x91601,x91602)),x91602))+~P1(f836(f836(f224(a899),x91602),f836(f179(f900(x91601)),x91603)))+~P1(f836(f836(f224(a899),x91602),f836(f179(f900(x91601)),x91604)))
% 190.77/190.68 [9165]~P1(f836(f836(f225(a1),f2(a1)),x91653))+~P1(f836(f836(f224(a1),x91651),x91652))+P1(f836(f836(f318(a1),f367(x91651,x91654,x91653,x91652)),f293(a1,f72(a1),x91653)))+P1(f836(f836(f224(a1),x91651),f836(f836(f74(a1),x91652),x91653)))
% 190.77/190.68 [9166]~P1(f836(f836(f225(a1),f2(a1)),x91663))+~P1(f836(f836(f225(a1),x91661),x91662))+P1(f836(f836(f318(a1),f385(x91661,x91664,x91663,x91662)),f293(a1,f72(a1),x91663)))+P1(f836(f836(f225(a1),x91661),f836(f836(f74(a1),x91662),x91663)))
% 190.77/190.68 [9492]~P108(x94921)+~P1(f836(f29(x94921),x94924))+P1(f836(f836(f318(x94921),f604(x94922,x94923,x94924,x94921)),x94924))+P1(f836(f836(f224(x94921),f836(f836(f59(x94921,x94921,f223(x94921)),x94922),x94924)),f836(f836(f223(x94921),x94923),x94922)))
% 190.77/190.68 [9493]~P98(x94931)+~P1(f836(f29(x94931),x94934))+P1(f836(f836(f318(x94931),f608(x94932,x94933,x94934,x94931)),x94934))+P1(f836(f836(f224(x94931),f836(f836(f59(x94931,x94931,f91(x94931)),x94932),x94934)),f836(f836(f91(x94931),x94933),x94932)))
% 190.77/190.68 [9629]~P108(x96291)+~P1(f836(f29(x96291),x96293))+~P1(f836(f836(f224(x96291),f604(x96292,x96294,x96293,x96291)),x96294))+P1(f836(f836(f224(x96291),f836(f836(f59(x96291,x96291,f223(x96291)),x96292),x96293)),f836(f836(f223(x96291),x96294),x96292)))
% 190.77/190.68 [9630]~P98(x96301)+~P1(f836(f29(x96301),x96303))+~P1(f836(f836(f224(x96301),f608(x96302,x96304,x96303,x96301)),x96304))+P1(f836(f836(f224(x96301),f836(f836(f59(x96301,x96301,f91(x96301)),x96302),x96303)),f836(f836(f91(x96301),x96304),x96302)))
% 190.77/190.68 [9632]~P1(f836(f836(f224(a1),f2(a1)),x96324))+~P1(f836(f836(f225(a1),f2(a1)),x96323))+~P1(f836(f836(f225(a1),x96324),x96321))+P1(f836(f836(f225(a1),f836(f836(f74(a1),f836(f836(f75(a1),x96321),f41(a1,x96322,x96323))),x96324)),f836(f836(f75(a1),x96321),x96323)))
% 190.77/190.68 [10018]E(x100181,x100182)+P1(f836(f836(f318(f905(f900(x100183),f900(x100183))),f836(f836(f242(f900(x100183),f900(x100183)),x100182),x100181)),f137(x100183,x100184)))+P1(f836(f836(f318(f905(f900(x100183),f900(x100183))),f836(f836(f242(f900(x100183),f900(x100183)),x100181),x100182)),f137(x100183,x100184)))+~P1(f836(f836(f318(f905(x100183,x100183)),f836(f836(f242(x100183,x100183),f624(x100181,x100182,x100184,x100183)),f626(x100181,x100182,x100184,x100183))),x100184))
% 190.77/190.68 [10019]E(x100191,x100192)+P1(f836(f836(f318(f905(f900(x100193),f900(x100193))),f836(f836(f242(f900(x100193),f900(x100193)),x100192),x100191)),f137(x100193,x100194)))+P1(f836(f836(f318(f905(f900(x100193),f900(x100193))),f836(f836(f242(f900(x100193),f900(x100193)),x100191),x100192)),f137(x100193,x100194)))+~P1(f836(f836(f318(f905(x100193,x100193)),f836(f836(f242(x100193,x100193),f626(x100191,x100192,x100194,x100193)),f624(x100191,x100192,x100194,x100193))),x100194))
% 190.77/190.68 [7565]~P108(x75651)+~P1(f836(f836(f224(x75651),x75653),x75654))+~P1(f836(f836(f224(x75651),x75652),x75654))+P1(f836(f836(f224(x75651),f836(f836(f223(x75651),x75652),x75653)),x75654))
% 190.77/190.68 [7568]~P98(x75681)+~P1(f836(f836(f224(x75681),x75683),x75684))+~P1(f836(f836(f224(x75681),x75682),x75684))+P1(f836(f836(f224(x75681),f836(f836(f91(x75681),x75682),x75683)),x75684))
% 190.77/190.68 [7569]~P108(x75691)+~P1(f836(f836(f225(x75691),x75693),x75694))+~P1(f836(f836(f225(x75691),x75692),x75694))+P1(f836(f836(f225(x75691),f836(f836(f223(x75691),x75692),x75693)),x75694))
% 190.77/190.68 [7808]~P3(x78081)+E(f836(f836(f74(x78081),f836(f836(f31(x78081),x78082),x78083)),f836(f836(f31(x78081),x78084),x78083)),f836(f836(f31(x78081),f836(f836(f74(x78081),x78082),x78084)),x78083))+~P1(f836(f836(f277(x78081),x78083),x78084))+~P1(f836(f836(f277(x78081),x78083),x78082))
% 190.77/190.68 [7891]~E(x78911,x78913)+E(f129(a899,f836(f292(a899,x78911),x78912)),f836(f836(f141(a899),x78913),x78914))+~E(f129(a899,f836(f292(a899,f836(f836(f74(a899),x78911),f72(a899))),x78912)),x78914)+~P1(f836(f836(f225(a899),x78911),x78912))
% 190.77/190.68 [7899]~P108(x78991)+P1(f836(f836(f224(x78991),x78992),x78993))+P1(f836(f836(f224(x78991),x78994),x78993))+~P1(f836(f836(f224(x78991),f836(f836(f228(x78991),x78994),x78992)),x78993))
% 190.77/190.68 [7900]~P108(x79001)+P1(f836(f836(f225(x79001),x79002),x79003))+P1(f836(f836(f225(x79001),x79004),x79003))+~P1(f836(f836(f225(x79001),f836(f836(f228(x79001),x79004),x79002)),x79003))
% 190.77/190.68 [8176]~P63(x81761)+~P1(f836(f836(f225(x81761),f2(x81761)),x81763))+~P1(f836(f836(f224(x81761),x81762),f836(f836(f281(x81761),x81764),x81763)))+P1(f836(f836(f224(x81761),f836(f836(f75(x81761),x81762),x81763)),x81764))
% 190.77/190.68 [8177]~P64(x81771)+~P1(f836(f836(f225(x81771),f2(x81771)),x81773))+~P1(f836(f836(f224(x81771),x81772),f836(f836(f281(x81771),x81774),x81773)))+P1(f836(f836(f224(x81771),f836(f836(f75(x81771),x81772),x81773)),x81774))
% 190.77/190.68 [8178]~P63(x81781)+~P1(f836(f836(f225(x81781),f2(x81781)),x81783))+~P1(f836(f836(f224(x81781),x81782),f836(f836(f75(x81781),x81784),x81783)))+P1(f836(f836(f224(x81781),f836(f836(f281(x81781),x81782),x81783)),x81784))
% 190.77/190.68 [8180]~P64(x81801)+~P1(f836(f836(f225(x81801),f2(x81801)),x81803))+~P1(f836(f836(f224(x81801),x81802),f836(f836(f75(x81801),x81804),x81803)))+P1(f836(f836(f224(x81801),f836(f836(f281(x81801),x81802),x81803)),x81804))
% 190.77/190.68 [8181]~P63(x81811)+~P1(f836(f836(f225(x81811),f2(x81811)),x81813))+~P1(f836(f836(f225(x81811),x81812),f836(f836(f281(x81811),x81814),x81813)))+P1(f836(f836(f225(x81811),f836(f836(f75(x81811),x81812),x81813)),x81814))
% 190.77/190.68 [8182]~P64(x81821)+~P1(f836(f836(f225(x81821),f2(x81821)),x81823))+~P1(f836(f836(f225(x81821),x81822),f836(f836(f281(x81821),x81824),x81823)))+P1(f836(f836(f225(x81821),f836(f836(f75(x81821),x81822),x81823)),x81824))
% 190.77/190.68 [8183]~P63(x81831)+~P1(f836(f836(f225(x81831),f2(x81831)),x81833))+~P1(f836(f836(f225(x81831),x81832),f836(f836(f75(x81831),x81834),x81833)))+P1(f836(f836(f225(x81831),f836(f836(f281(x81831),x81832),x81833)),x81834))
% 190.77/190.68 [8185]~P64(x81851)+~P1(f836(f836(f225(x81851),f2(x81851)),x81853))+~P1(f836(f836(f225(x81851),x81852),f836(f836(f75(x81851),x81854),x81853)))+P1(f836(f836(f225(x81851),f836(f836(f281(x81851),x81852),x81853)),x81854))
% 190.77/190.68 [8314]~P63(x83141)+~P1(f836(f836(f225(x83141),f2(x83141)),x83144))+P1(f836(f836(f224(x83141),x83142),f836(f836(f75(x83141),x83143),x83144)))+~P1(f836(f836(f224(x83141),f836(f836(f281(x83141),x83142),x83144)),x83143))
% 190.77/190.68 [8315]~P63(x83151)+~P1(f836(f836(f225(x83151),f2(x83151)),x83154))+P1(f836(f836(f224(x83151),x83152),f836(f836(f281(x83151),x83153),x83154)))+~P1(f836(f836(f224(x83151),f836(f836(f75(x83151),x83152),x83154)),x83153))
% 190.77/190.68 [8317]~P64(x83171)+~P1(f836(f836(f225(x83171),f2(x83171)),x83174))+P1(f836(f836(f224(x83171),x83172),f836(f836(f75(x83171),x83173),x83174)))+~P1(f836(f836(f224(x83171),f836(f836(f281(x83171),x83172),x83174)),x83173))
% 190.77/190.68 [8318]~P64(x83181)+~P1(f836(f836(f225(x83181),f2(x83181)),x83184))+P1(f836(f836(f224(x83181),x83182),f836(f836(f281(x83181),x83183),x83184)))+~P1(f836(f836(f224(x83181),f836(f836(f75(x83181),x83182),x83184)),x83183))
% 190.77/190.68 [8319]~P63(x83191)+~P1(f836(f836(f225(x83191),f2(x83191)),x83194))+P1(f836(f836(f225(x83191),x83192),f836(f836(f75(x83191),x83193),x83194)))+~P1(f836(f836(f225(x83191),f836(f836(f281(x83191),x83192),x83194)),x83193))
% 190.77/190.68 [8320]~P63(x83201)+~P1(f836(f836(f225(x83201),f2(x83201)),x83204))+P1(f836(f836(f225(x83201),x83202),f836(f836(f281(x83201),x83203),x83204)))+~P1(f836(f836(f225(x83201),f836(f836(f75(x83201),x83202),x83204)),x83203))
% 190.77/190.68 [8322]~P64(x83221)+~P1(f836(f836(f225(x83221),f2(x83221)),x83224))+P1(f836(f836(f225(x83221),x83222),f836(f836(f75(x83221),x83223),x83224)))+~P1(f836(f836(f225(x83221),f836(f836(f281(x83221),x83222),x83224)),x83223))
% 190.77/190.68 [8323]~P64(x83231)+~P1(f836(f836(f225(x83231),f2(x83231)),x83234))+P1(f836(f836(f225(x83231),x83232),f836(f836(f281(x83231),x83233),x83234)))+~P1(f836(f836(f225(x83231),f836(f836(f75(x83231),x83232),x83234)),x83233))
% 190.77/190.68 [8484]~P64(x84841)+~P1(f836(f836(f225(x84841),x84843),f2(x84841)))+~P1(f836(f836(f224(x84841),f836(f836(f281(x84841),x84844),x84843)),x84842))+P1(f836(f836(f224(x84841),f836(f836(f75(x84841),x84842),x84843)),x84844))
% 190.77/190.68 [8485]~P64(x84851)+~P1(f836(f836(f225(x84851),x84853),f2(x84851)))+~P1(f836(f836(f224(x84851),f836(f836(f75(x84851),x84854),x84853)),x84852))+P1(f836(f836(f224(x84851),f836(f836(f281(x84851),x84852),x84853)),x84854))
% 190.77/190.68 [8486]~P64(x84861)+~P1(f836(f836(f225(x84861),x84863),f2(x84861)))+~P1(f836(f836(f225(x84861),f836(f836(f281(x84861),x84864),x84863)),x84862))+P1(f836(f836(f225(x84861),f836(f836(f75(x84861),x84862),x84863)),x84864))
% 190.77/190.68 [8487]~P64(x84871)+~P1(f836(f836(f225(x84871),x84873),f2(x84871)))+~P1(f836(f836(f225(x84871),f836(f836(f75(x84871),x84874),x84873)),x84872))+P1(f836(f836(f225(x84871),f836(f836(f281(x84871),x84872),x84873)),x84874))
% 190.77/190.68 [8499]~P1(f836(x84991,x84994))+~P1(f836(f836(f225(a899),x84992),f836(f836(f75(a899),x84993),f836(a102,x84994))))+P1(f836(x84991,f836(f836(f31(a899),x84992),x84993)))+~P1(f836(f836(f224(a899),f836(f836(f75(a899),x84993),x84994)),x84992))
% 190.77/190.68 [8708]~P108(x87081)+~P1(f836(f29(x87081),x87084))+~P1(f836(f836(f318(x87081),x87082),x87084))+P1(f836(f836(f224(x87081),f836(f836(f223(x87081),x87082),x87083)),f836(f836(f59(x87081,x87081,f223(x87081)),x87083),x87084)))
% 190.77/190.68 [8709]~P98(x87091)+~P1(f836(f29(x87091),x87094))+~P1(f836(f836(f318(x87091),x87092),x87094))+P1(f836(f836(f224(x87091),f836(f836(f91(x87091),x87092),x87093)),f836(f836(f59(x87091,x87091,f91(x87091)),x87093),x87094)))
% 190.77/190.68 [8862]~P1(f836(f29(x88621),x88622))+E(f836(f30(x88621),f836(f836(f23(f906(x88621,a895)),x88622),f836(f836(f299(x88621),x88623),x88624))),f836(f836(f23(a899),f836(f30(x88621),f836(f836(f23(f906(x88621,a895)),x88622),x88624))),f72(a899)))+P1(f836(f836(f318(x88621),x88623),x88624))+~P1(f836(f836(f318(x88621),x88623),x88622))
% 190.77/190.68 [8939]E(f836(f836(f74(a1),f372(x89391,x89392,x89393,x89394)),f373(x89391,x89392,x89393,x89394)),x89394)+~P1(f836(f836(f225(a1),f2(a1)),x89393))+~P1(f836(f836(f224(a1),x89394),x89391))+P1(f836(f836(f224(a1),f836(f836(f23(a1),x89394),x89393)),x89391))
% 190.77/190.68 [8940]E(f836(f836(f74(a1),f386(x89401,x89402,x89403,x89404)),f387(x89401,x89402,x89403,x89404)),x89404)+~P1(f836(f836(f225(a1),f2(a1)),x89403))+~P1(f836(f836(f225(a1),x89404),x89401))+P1(f836(f836(f225(a1),f836(f836(f23(a1),x89404),x89403)),x89401))
% 190.77/190.68 [9145]~P1(f836(f836(f225(a1),f2(a1)),x91453))+~P1(f836(f836(f224(a1),x91454),x91451))+P1(f836(f836(f318(a1),f372(x91451,x91452,x91453,x91454)),x91452))+P1(f836(f836(f224(a1),f836(f836(f23(a1),x91454),x91453)),x91451))
% 190.77/190.68 [9146]~P1(f836(f836(f225(a1),f2(a1)),x91463))+~P1(f836(f836(f225(a1),x91464),x91461))+P1(f836(f836(f318(a1),f386(x91461,x91462,x91463,x91464)),x91462))+P1(f836(f836(f225(a1),f836(f836(f23(a1),x91464),x91463)),x91461))
% 190.77/190.68 [9232]~P1(f836(f836(f225(a1),f2(a1)),x92322))+~P1(f836(f836(f224(a1),x92321),x92323))+P1(f836(f836(f318(a1),f373(x92323,x92324,x92322,x92321)),f293(a1,f72(a1),x92322)))+P1(f836(f836(f224(a1),f836(f836(f23(a1),x92321),x92322)),x92323))
% 190.77/190.68 [9233]~P1(f836(f836(f225(a1),f2(a1)),x92332))+~P1(f836(f836(f225(a1),x92331),x92333))+P1(f836(f836(f318(a1),f387(x92333,x92334,x92332,x92331)),f293(a1,f72(a1),x92332)))+P1(f836(f836(f225(a1),f836(f836(f23(a1),x92331),x92332)),x92333))
% 190.77/190.68 [9251]~P1(f836(f836(f224(a1),f2(a1)),x92514))+~P1(f836(f836(f225(a1),f2(a1)),x92513))+~P1(f836(f836(f225(a1),x92514),x92511))+P1(f836(f836(f224(a1),f2(a1)),f836(f836(f74(a1),f836(f836(f75(a1),x92511),f41(a1,x92512,x92513))),x92514)))
% 190.77/190.68 [9280]E(x92801,x92802)+~P38(x92803,x92804)+~P1(f836(f836(f318(f905(x92803,x92803)),f836(f836(f242(x92803,x92803),x92802),x92801)),x92804))+~P1(f836(f836(f318(f905(x92803,x92803)),f836(f836(f242(x92803,x92803),x92801),x92802)),x92804))
% 190.77/190.68 [9313]~P108(x93131)+~P1(f836(f29(x93131),x93134))+~P1(f836(f836(f224(x93131),x93132),f603(x93133,x93132,x93134,x93131)))+P1(f836(f836(f224(x93131),f836(f836(f228(x93131),x93132),x93133)),f836(f836(f59(x93131,x93131,f228(x93131)),x93133),x93134)))
% 190.77/190.68 [9314]~P104(x93141)+~P1(f836(f29(x93141),x93144))+~P1(f836(f836(f224(x93141),x93142),f607(x93143,x93142,x93144,x93141)))+P1(f836(f836(f224(x93141),f836(f836(f92(x93141),x93142),x93143)),f836(f836(f59(x93141,x93141,f92(x93141)),x93143),x93144)))
% 190.77/190.68 [9331]~P1(f836(f836(f224(a1),x93314),f2(a1)))+~P1(f836(f836(f225(a1),f2(a1)),x93312))+~P1(f836(f836(f225(a1),x93311),x93314))+P1(f836(f836(f225(a1),f836(f836(f75(a1),x93311),x93312)),f836(f836(f74(a1),f836(f836(f75(a1),x93311),f41(a1,x93313,x93312))),x93314)))
% 190.77/190.68 [9357]P1(f836(f29(x93571),x93572))+~P1(f836(f29(x93571),x93573))+~P1(f836(f836(f318(f906(x93571,a895)),x93572),f836(f836(f56(x93571),x93573),x93574)))+~P1(f836(f836(f224(f906(f905(x93571,x93571),a895)),x93574),f836(f836(f244(x93571,x93571),x93573),f836(f16(f906(x93571,a895),x93571),x93573))))
% 190.77/190.68 [9382]~P108(x93821)+~P1(f836(f29(x93821),x93824))+P1(f836(f836(f318(x93821),f603(x93822,x93823,x93824,x93821)),x93824))+P1(f836(f836(f224(x93821),f836(f836(f228(x93821),x93823),x93822)),f836(f836(f59(x93821,x93821,f228(x93821)),x93822),x93824)))
% 190.77/190.68 [9383]~P104(x93831)+~P1(f836(f29(x93831),x93834))+P1(f836(f836(f318(x93831),f607(x93832,x93833,x93834,x93831)),x93834))+P1(f836(f836(f224(x93831),f836(f836(f92(x93831),x93833),x93832)),f836(f836(f59(x93831,x93831,f92(x93831)),x93832),x93834)))
% 190.77/190.68 [9796]~P1(f836(f29(x97962),x97964))+~P1(f836(f29(x97961),x97963))+~P1(f836(f836(f224(a899),f836(f30(x97962),x97964)),f836(f30(x97961),x97963)))+P1(f836(f836(f224(f906(x97961,a895)),f836(f300(x97962,x97961,f421(x97963,x97961,x97964,x97962)),x97964)),x97963))
% 190.77/190.68 [9433]~P1(f836(f836(f318(x94331),x94332),x94334))+P1(f836(f836(f318(x94331),x94332),x94333))+~P1(f836(f836(f225(f906(x94331,a895)),x94334),f836(f836(f299(x94331),x94332),x94333)))+P1(f836(f836(f225(f906(x94331,a895)),f836(f836(f23(f906(x94331,a895)),x94334),f836(f836(f299(x94331),x94332),f178(f906(x94331,a895))))),x94333))
% 190.77/190.68 [9610]~P1(f836(f836(f318(x96101),x96102),x96104))+P1(f836(f836(f318(x96101),x96102),x96103))+P1(f836(f836(f225(f906(x96101,a895)),x96104),f836(f836(f299(x96101),x96102),x96103)))+~P1(f836(f836(f225(f906(x96101,a895)),f836(f836(f23(f906(x96101,a895)),x96104),f836(f836(f299(x96101),x96102),f178(f906(x96101,a895))))),x96103))
% 190.77/190.68 [9635]P1(f836(f836(f318(x96351),x96352),x96353))+~P1(f836(f836(f224(f906(x96351,a895)),x96354),x96353))+P1(f836(f836(f225(f906(x96351,a895)),x96354),f836(f836(f299(x96351),x96352),x96353)))+~P1(f836(f836(f225(f906(x96351,a895)),f836(f836(f23(f906(x96351,a895)),x96354),f836(f836(f299(x96351),x96352),f178(f906(x96351,a895))))),x96353))
% 190.77/190.68 [9640]~P1(f836(f836(f318(x96401),x96403),x96402))+~P1(f836(f836(f225(f906(x96401,a895)),x96402),x96404))+P1(f836(f836(f225(f906(x96401,a895)),x96402),f836(f836(f299(x96401),x96403),x96404)))+~P1(f836(f836(f225(f906(x96401,a895)),f836(f836(f23(f906(x96401,a895)),x96402),f836(f836(f299(x96401),x96403),f178(f906(x96401,a895))))),x96404))
% 190.77/190.68 [9656]~P1(f836(f836(f224(f906(x96561,a895)),x96562),x96564))+~P1(f836(f836(f225(f906(x96561,a895)),x96562),x96564))+P1(f836(f836(f225(f906(x96561,a895)),x96562),f836(f836(f299(x96561),x96563),x96564)))+~P1(f836(f836(f225(f906(x96561,a895)),f836(f836(f23(f906(x96561,a895)),x96562),f836(f836(f299(x96561),x96563),f178(f906(x96561,a895))))),x96564))
% 190.77/190.68 [9701]~P109(x97012)+~P60(x97011)+~P1(f836(f836(f224(f906(x97011,x97012)),x97013),x97014))+P1(f836(f53(x97011),f836(f836(f18(x97011,x97012,a895),f836(f836(f8(x97012,f906(x97012,a895),x97011),f224(x97012)),x97013)),x97014)))
% 190.77/190.68 [9844]~P109(x98442)+~P60(x98441)+P1(f836(f836(f224(f906(x98441,x98442)),x98443),x98444))+~P1(f836(f53(x98441),f836(f836(f18(x98441,x98442,a895),f836(f836(f8(x98442,f906(x98442,a895),x98441),f224(x98442)),x98443)),x98444)))
% 190.77/190.68 [10009]E(f836(f836(f154(x100091),f836(f836(f154(f900(x100091)),f169(x100091,x100092)),x100093)),x100094),f836(f836(f154(x100091),f836(f836(f154(f900(x100091)),x100092),x100094)),x100093))+~P1(f836(f836(f225(a899),x100093),f836(f179(f900(f900(x100091))),f169(x100091,x100092))))+~P13(a899,f836(f158(a899),f836(f836(f144(f900(x100091),a899),f179(f900(x100091))),x100092)))+~P1(f836(f836(f225(a899),x100094),f836(f179(f900(f900(x100091))),f836(f126(f900(x100091),f836(f836(f8(a899,a895,f900(x100091)),f836(f225(a899),x100093)),f179(f900(x100091)))),x100092))))
% 190.77/190.68 [10030]~P1(f836(f836(f318(f905(a899,a899)),x100304),x100301))+~P1(f836(f836(f318(f905(f905(a899,a899),f905(a899,a899))),f836(f836(f242(f905(a899,a899),f905(a899,a899)),x100304),x100302)),a26))+~P1(f836(f836(f318(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f836(f836(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),x100301),x100303)),a27))+P1(f836(f836(f318(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f836(f836(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),x100301),f836(f836(f299(f905(a899,a899)),x100302),x100303))),a27))
% 190.77/190.68 [10031]~P1(f836(f836(f318(f905(a899,a899)),x100314),x100311))+~P1(f836(f836(f318(f905(f905(a899,a899),f905(a899,a899))),f836(f836(f242(f905(a899,a899),f905(a899,a899)),x100314),x100312)),a65))+~P1(f836(f836(f318(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f836(f836(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),x100311),x100313)),a66))+P1(f836(f836(f318(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f836(f836(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),x100311),f836(f836(f299(f905(a899,a899)),x100312),x100313))),a66))
% 190.77/190.68 [9921]~P109(x99212)+~P60(x99211)+~P1(f836(f836(f225(f906(x99211,x99212)),x99213),x99214))+P1(f836(f52(x99211),f836(f836(f8(a895,a895,x99211),a312),f836(f836(f18(x99211,x99212,a895),f836(f836(f8(x99212,f906(x99212,a895),x99211),a314),x99213)),x99214))))
% 190.77/190.68 [10042]~P1(f836(f836(f318(f905(a899,a899)),x100424),x100423))+~P1(f836(f836(f318(f905(f905(a899,a899),f905(a899,a899))),f836(f836(f242(f905(a899,a899),f905(a899,a899)),x100421),x100424)),a26))+~P1(f836(f836(f318(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f836(f836(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),x100422),x100423)),a28))+P1(f836(f836(f318(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f836(f836(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),f836(f836(f299(f905(a899,a899)),x100421),x100422)),x100423)),a28))
% 190.77/190.68 [10043]~P1(f836(f836(f318(f905(a899,a899)),x100434),x100433))+~P1(f836(f836(f318(f905(f905(a899,a899),f905(a899,a899))),f836(f836(f242(f905(a899,a899),f905(a899,a899)),x100431),x100434)),a65))+~P1(f836(f836(f318(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f836(f836(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),x100432),x100433)),a64))+P1(f836(f836(f318(f905(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895))),f836(f836(f242(f906(f905(a899,a899),a895),f906(f905(a899,a899),a895)),f836(f836(f299(f905(a899,a899)),x100431),x100432)),x100433)),a64))
% 190.77/190.68 [6123]~P7(x61234,x61231)+~P1(f836(f836(x61231,x61232),x61235))+P1(f836(f836(x61231,x61232),x61233))+~P1(f836(f836(x61231,x61235),x61233))
% 190.77/190.68 [6124]~P49(x61244,x61241)+~P1(f836(f836(x61241,x61242),x61245))+P1(f836(f836(x61241,x61242),x61243))+~P1(f836(f836(x61241,x61245),x61243))
% 190.77/190.68 [6125]~P15(x61254,x61251)+~P1(f836(f836(x61251,x61252),x61255))+P1(f836(f836(x61251,x61252),x61253))+~P1(f836(f836(x61251,x61255),x61253))
% 190.77/190.68 [8847]~P7(x88474,x88473)+~P1(f836(x88471,x88475))+P1(f836(x88472,f807(x88472,x88471,x88473,x88474)))+P1(f836(x88471,f806(x88472,x88471,x88473,x88474)))
% 190.77/190.68 [9081]~P7(x90814,x90813)+~P1(f836(x90812,x90815))+~P1(f836(x90811,f806(x90811,x90812,x90813,x90814)))+P1(f836(x90811,f807(x90811,x90812,x90813,x90814)))
% 190.77/190.68 [9264]~P7(x92644,x92643)+~P1(f836(x92641,x92645))+P1(f836(f836(f318(x92644),f807(x92642,x92641,x92643,x92644)),f260(x92644,x92643)))+P1(f836(x92641,f806(x92642,x92641,x92643,x92644)))
% 190.77/190.68 [9391]~P7(x93911,x93914)+~P1(f836(x93913,x93915))+~P1(f836(x93912,f806(x93912,x93913,x93914,x93911)))+P1(f836(f836(f318(x93911),f807(x93912,x93913,x93914,x93911)),f260(x93911,x93914)))
% 190.77/190.68 [9690]~P37(x96901,x96904)+P1(f836(f836(f318(f905(f900(x96901),f900(x96901))),f836(f836(f242(f900(x96901),f900(x96901)),x96902),x96903)),f137(x96901,x96904)))+~P1(f836(f836(f318(f905(f900(x96901),f900(x96901))),f836(f836(f242(f900(x96901),f900(x96901)),x96902),x96905)),f137(x96901,x96904)))+~P1(f836(f836(f318(f905(f900(x96901),f900(x96901))),f836(f836(f242(f900(x96901),f900(x96901)),x96905),x96903)),f137(x96901,x96904)))
% 190.77/190.68 [5348]~P67(x53485)+E(x53481,x53482)+~E(x53483,x53484)+~E(f836(f836(f23(x53485),x53483),x53484),f836(f836(f23(x53485),x53481),x53482))
% 190.77/190.68 [6239]~P17(x62395,x62391,x62393)+E(f836(f836(x62391,x62392),f836(x62393,x62394)),f836(x62393,x62394))+~P1(f836(f29(x62395),x62394))+~P1(f836(f836(f318(x62395),x62392),x62394))
% 190.77/190.68 [6436]~P65(x64361)+~E(f836(f836(f23(x64361),x64364),x64365),f836(f836(f23(x64361),x64362),x64363))+~P1(f836(f836(f224(x64361),x64364),x64365))+P1(f836(f836(f224(x64361),x64362),x64363))
% 190.77/190.68 [6438]~P65(x64381)+~E(f836(f836(f23(x64381),x64384),x64385),f836(f836(f23(x64381),x64382),x64383))+~P1(f836(f836(f225(x64381),x64384),x64385))+P1(f836(f836(f225(x64381),x64382),x64383))
% 190.77/190.68 [7432]~E(x74322,f836(f836(f141(x74321),x74324),x74325))+P1(f836(f836(f318(f900(x74321)),x74322),f151(x74321,x74323)))+~P1(f836(f836(f318(f900(x74321)),x74325),f151(x74321,x74323)))+~P1(f836(f836(f318(x74321),x74324),x74323))
% 190.77/190.68 [7839]~E(f836(f179(f900(x78391)),x78393),f836(f179(f900(x78392)),x78394))+~E(f836(f836(f144(f905(x78391,x78392),x78392),f246(x78391,x78392)),x78395),x78394)+~E(f836(f836(f144(f905(x78391,x78392),x78391),f241(x78391,x78392)),x78395),x78393)+E(f836(f836(f171(x78391,x78392),x78393),x78394),x78395)
% 190.77/190.68 [8172]~P109(x81721)+P1(f836(f836(f225(f906(x81721,a895)),f293(x81721,x81722,x81723)),f293(x81721,x81724,x81725)))+~P1(f836(f836(f224(x81721),x81724),x81725))+P1(f836(f836(f224(x81721),x81722),x81723))
% 190.77/190.68 [8272]~P109(x82721)+P1(f836(f836(f224(f906(x82721,a895)),f293(x82721,x82722,x82723)),f293(x82721,x82724,x82725)))+~P1(f836(f836(f224(x82721),x82723),x82725))+~P1(f836(f836(f224(x82721),x82724),x82722))
% 190.77/190.68 [8391]~P108(x83911)+P1(f836(f836(f224(x83911),x83912),x83913))+P1(f836(f836(f224(x83911),x83914),x83913))+~P1(f836(f836(f224(f906(x83911,a895)),f836(f292(x83911,x83913),x83912)),f836(f292(x83911,x83914),x83915)))
% 190.77/190.68 [8392]~P108(x83921)+P1(f836(f836(f224(x83921),x83922),x83923))+P1(f836(f836(f224(x83921),x83922),x83924))+~P1(f836(f836(f224(f906(x83921,a895)),f836(f292(x83921,x83923),x83922)),f836(f292(x83921,x83925),x83924)))
% 190.77/190.68 [8625]~P109(x86251)+~P1(f836(f836(f224(f906(x86251,a895)),f293(x86251,x86254,x86252)),f293(x86251,x86255,x86253)))+P1(f836(f836(f224(x86251),x86252),x86253))+~P1(f836(f836(f224(x86251),x86254),x86252))
% 190.77/190.68 [8626]~P109(x86261)+~P1(f836(f836(f225(f906(x86261,a895)),f293(x86261,x86264,x86262)),f293(x86261,x86265,x86263)))+P1(f836(f836(f224(x86261),x86262),x86263))+~P1(f836(f836(f224(x86261),x86264),x86262))
% 190.77/190.68 [8627]~P109(x86271)+~P1(f836(f836(f224(f906(x86271,a895)),f293(x86271,x86273,x86274)),f293(x86271,x86272,x86275)))+P1(f836(f836(f224(x86271),x86272),x86273))+~P1(f836(f836(f224(x86271),x86273),x86274))
% 190.77/190.68 [8628]~P109(x86281)+~P1(f836(f836(f225(f906(x86281,a895)),f293(x86281,x86283,x86284)),f293(x86281,x86282,x86285)))+P1(f836(f836(f224(x86281),x86282),x86283))+~P1(f836(f836(f224(x86281),x86283),x86284))
% 190.77/190.68 [6122]~P17(x61222,x61225,x61223)+E(x61221,f178(f906(x61222,a895)))+~P1(f836(f29(x61222),x61221))+E(f836(x61223,f836(f836(f299(x61222),x61224),x61221)),f836(f836(x61225,x61224),f836(x61223,x61221)))
% 190.77/190.68 [6921]~E(x69211,x69212)+~E(f836(f836(f92(f906(x69213,a895)),x69214),x69215),f178(f906(x69213,a895)))+~P1(f836(f836(f318(x69213),x69212),x69215))+~P1(f836(f836(f318(x69213),x69211),x69214))
% 190.77/190.68 [7004]~P18(x70042,x70045,x70041)+~P1(f836(f29(x70042),x70044))+E(f836(x70041,f836(f836(f299(x70042),x70043),x70044)),f836(f836(f59(x70042,x70042,x70045),x70043),x70044))+P1(f836(f836(f318(x70042),x70043),x70044))
% 190.77/190.68 [7073]~P74(x70732)+~P1(f836(f29(x70731),x70735))+E(f836(f836(f9(x70731,x70732),x70733),f836(f836(f299(x70731),x70734),x70735)),f836(f836(f75(x70732),f836(x70733,x70734)),f836(f836(f9(x70731,x70732),x70733),x70735)))+P1(f836(f836(f318(x70731),x70734),x70735))
% 190.77/190.68 [7075]~P73(x70752)+~P1(f836(f29(x70751),x70755))+E(f836(f836(f6(x70751,x70752),x70753),f836(f836(f299(x70751),x70754),x70755)),f836(f836(f74(x70752),f836(x70753,x70754)),f836(f836(f6(x70751,x70752),x70753),x70755)))+P1(f836(f836(f318(x70751),x70754),x70755))
% 190.77/190.68 [7479]~P112(x74791)+~P1(f836(f29(x74794),x74795))+~P1(f836(f836(f318(x74794),x74793),x74795))+P1(f836(f836(f277(x74791),f836(x74792,x74793)),f836(f836(f9(x74794,x74791),x74792),x74795)))
% 190.77/190.68 [7578]~P18(x75782,x75785,x75781)+~P1(f836(f29(x75782),x75784))+E(f836(x75781,f836(f836(f299(x75782),x75783),x75784)),x75783)+~E(f836(f836(f23(f906(x75782,a895)),x75784),f836(f836(f299(x75782),x75783),f178(f906(x75782,a895)))),f178(f906(x75782,a895)))
% 190.77/190.68 [7912]~P112(x79121)+~P1(f836(f836(f277(x79121),x79122),x79124))+~P1(f836(f836(f224(a899),x79123),x79125))+P1(f836(f836(f277(x79121),f836(f836(f234(x79121),x79122),x79123)),f836(f836(f234(x79121),x79124),x79125)))
% 190.77/190.68 [7940]~P3(x79401)+E(f836(f836(f31(x79401),f836(f836(f75(x79401),x79402),x79403)),f836(f836(f75(x79401),x79404),x79405)),f836(f836(f75(x79401),f836(f836(f31(x79401),x79402),x79404)),f836(f836(f31(x79401),x79403),x79405)))+~P1(f836(f836(f277(x79401),x79405),x79403))+~P1(f836(f836(f277(x79401),x79404),x79402))
% 190.77/190.68 [7944]~P85(x79441)+~P1(f836(f836(f224(x79441),x79443),x79445))+~P1(f836(f836(f224(x79441),x79442),x79444))+P1(f836(f836(f224(x79441),f836(f836(f74(x79441),x79442),x79443)),f836(f836(f74(x79441),x79444),x79445)))
% 190.77/190.68 [7945]~P108(x79451)+~P1(f836(f836(f224(x79451),x79453),x79455))+~P1(f836(f836(f224(x79451),x79452),x79454))+P1(f836(f836(f224(x79451),f836(f836(f228(x79451),x79452),x79453)),f836(f836(f228(x79451),x79454),x79455)))
% 190.77/190.68 [7946]~P108(x79461)+~P1(f836(f836(f224(x79461),x79463),x79465))+~P1(f836(f836(f224(x79461),x79462),x79464))+P1(f836(f836(f224(x79461),f836(f836(f223(x79461),x79462),x79463)),f836(f836(f223(x79461),x79464),x79465)))
% 190.77/190.68 [7947]~P98(x79471)+~P1(f836(f836(f224(x79471),x79473),x79475))+~P1(f836(f836(f224(x79471),x79472),x79474))+P1(f836(f836(f224(x79471),f836(f836(f91(x79471),x79472),x79473)),f836(f836(f91(x79471),x79474),x79475)))
% 190.77/190.68 [7948]~P104(x79481)+~P1(f836(f836(f224(x79481),x79483),x79485))+~P1(f836(f836(f224(x79481),x79482),x79484))+P1(f836(f836(f224(x79481),f836(f836(f92(x79481),x79482),x79483)),f836(f836(f92(x79481),x79484),x79485)))
% 190.77/190.68 [7949]~P87(x79491)+~P1(f836(f836(f224(x79491),x79493),x79495))+~P1(f836(f836(f225(x79491),x79492),x79494))+P1(f836(f836(f225(x79491),f836(f836(f74(x79491),x79492),x79493)),f836(f836(f74(x79491),x79494),x79495)))
% 190.77/190.68 [7950]~P87(x79501)+~P1(f836(f836(f224(x79501),x79502),x79504))+~P1(f836(f836(f225(x79501),x79503),x79505))+P1(f836(f836(f225(x79501),f836(f836(f74(x79501),x79502),x79503)),f836(f836(f74(x79501),x79504),x79505)))
% 190.77/190.68 [7951]~P87(x79511)+~P1(f836(f836(f225(x79511),x79513),x79515))+~P1(f836(f836(f225(x79511),x79512),x79514))+P1(f836(f836(f225(x79511),f836(f836(f74(x79511),x79512),x79513)),f836(f836(f74(x79511),x79514),x79515)))
% 190.77/190.68 [7952]~P112(x79521)+~P1(f836(f836(f277(x79521),x79523),x79525))+~P1(f836(f836(f277(x79521),x79522),x79524))+P1(f836(f836(f277(x79521),f836(f836(f75(x79521),x79522),x79523)),f836(f836(f75(x79521),x79524),x79525)))
% 190.77/190.68 [8088]~P146(x80885)+E(x80881,x80882)+E(x80883,x80884)+~E(f836(f836(f74(x80885),f836(f836(f75(x80885),x80883),x80881)),f836(f836(f75(x80885),x80884),x80882)),f836(f836(f74(x80885),f836(f836(f75(x80885),x80883),x80882)),f836(f836(f75(x80885),x80884),x80881)))
% 190.77/190.68 [8292]~P108(x82924)+~P1(f836(f127(x82921),x82923))+P1(f836(f836(f318(x82921),x82922),f836(f162(x82921),x82923)))+P1(f836(f127(x82921),f836(f836(f138(x82921,x82924,x82925),x82922),x82923)))
% 190.77/190.68 [8438]~P67(x84381)+E(f836(f836(f23(x84381),f836(f836(f6(a899,x84381),x84382),f836(f292(a899,x84383),x84384))),f836(f836(f6(a899,x84381),x84382),f836(f292(a899,x84383),x84385))),f836(f836(f6(a899,x84381),x84382),f836(f292(a899,x84385),x84384)))+~P1(f836(f836(f224(a899),x84385),x84384))+~P1(f836(f836(f224(a899),x84383),x84385))
% 190.77/190.68 [8439]~P73(x84391)+E(f836(f836(f74(x84391),f836(f836(f6(a899,x84391),x84392),f836(f292(a899,x84393),x84394))),f836(f836(f6(a899,x84391),x84392),f836(f292(a899,x84394),x84395))),f836(f836(f6(a899,x84391),x84392),f836(f292(a899,x84393),x84395)))+~P1(f836(f836(f224(a899),x84394),x84395))+~P1(f836(f836(f224(a899),x84393),x84394))
% 190.77/190.68 [8768]~P62(x87682)+E(x87681,f2(x87682))+E(x87683,f2(x87682))+E(f836(f836(f281(x87682),f836(f836(f23(x87682),f836(f836(f75(x87682),x87684),x87681)),f836(f836(f75(x87682),x87685),x87683))),f836(f836(f75(x87682),x87683),x87681)),f836(f836(f23(x87682),f836(f836(f281(x87682),x87684),x87683)),f836(f836(f281(x87682),x87685),x87681)))
% 190.77/190.68 [8769]~P62(x87692)+E(x87691,f2(x87692))+E(x87693,f2(x87692))+E(f836(f836(f281(x87692),f836(f836(f74(x87692),f836(f836(f75(x87692),x87694),x87691)),f836(f836(f75(x87692),x87695),x87693))),f836(f836(f75(x87692),x87693),x87691)),f836(f836(f74(x87692),f836(f836(f281(x87692),x87694),x87693)),f836(f836(f281(x87692),x87695),x87691)))
% 190.77/190.68 [8778]~E(x87782,f836(x87783,x87781))+E(x87781,f446(x87782,x87783,x87784,x87785))+~P24(x87785,x87784,x87783,f232(f906(x87785,a895)))+~P1(f836(f836(f318(x87784),x87782),f836(f300(x87785,x87784,x87783),f232(f906(x87785,a895)))))
% 190.77/190.68 [8995]~P111(x89951)+~P1(f836(f836(f225(x89951),f836(f70(x89951),x89952)),x89954))+P1(f836(f836(f225(x89951),f836(f836(f75(x89951),f836(f70(x89951),x89952)),f836(f70(x89951),x89953))),f836(f836(f75(x89951),x89954),x89955)))+~P1(f836(f836(f225(x89951),f836(f70(x89951),x89953)),x89955))
% 190.77/190.68 [9106]~P24(x91061,x91063,x91065,x91062)+~P1(f836(f29(x91063),x91064))+P1(f836(f836(f224(a899),f836(f30(x91061),x91062)),f836(f30(x91063),x91064)))+~P1(f836(f836(f224(f906(x91063,a895)),f836(f300(x91061,x91063,x91065),x91062)),x91064))
% 190.77/190.68 [9174]~P74(x91742)+~P24(x91741,x91741,x91744,x91745)+~P1(f836(f29(x91741),x91745))+E(f836(f836(f9(x91741,x91742),f836(f67(x91741,x91742,x91741,x91743),x91744)),x91745),f836(f836(f9(x91741,x91742),x91743),f836(f300(x91741,x91741,x91744),x91745)))
% 190.77/190.68 [9175]~P73(x91752)+~P24(x91751,x91751,x91754,x91755)+~P1(f836(f29(x91751),x91755))+E(f836(f836(f6(x91751,x91752),f836(f67(x91751,x91752,x91751,x91753),x91754)),x91755),f836(f836(f6(x91751,x91752),x91753),f836(f300(x91751,x91751,x91754),x91755)))
% 190.77/190.68 [9293]~P36(x92931,x92932)+~P1(f836(f836(f318(x92931),x92933),x92934))+~P1(f836(f836(f318(x92931),x92935),x92934))+~P1(f836(f836(f318(f905(x92931,x92931)),f836(f836(f242(x92931,x92931),x92935),f599(x92932,x92931,x92934))),x92932))
% 190.77/190.68 [9330]~P24(x93302,x93303,x93305,x93301)+E(x93301,f178(f906(x93302,a895)))+E(f836(f300(x93303,x93302,f425(x93304,x93303,x93302,x93301)),x93304),x93301)+~P1(f836(f836(f224(f906(x93303,a895)),f836(f300(x93302,x93303,x93305),x93301)),x93304))
% 190.77/190.68 [9825]~P108(x98255)+~P5(x98255)+P1(f836(f836(f318(x98251),f429(x98252,x98253,x98251,x98254,x98255)),x98253))+~P1(f836(f836(f225(x98255),x98254),f836(f836(f35(x98251,x98255),x98253),x98252)))
% 190.77/190.68 [9830]~P108(x98301)+~P5(x98301)+P1(f836(f836(f225(x98301),x98302),f836(x98303,f429(x98303,x98304,x98305,x98302,x98301))))+~P1(f836(f836(f225(x98301),x98302),f836(f836(f35(x98305,x98301),x98304),x98303)))
% 190.77/190.68 [9908]~P71(x99081)+~P1(f836(f61(x99081,x99081,f75(x99081),x99082,x99083),x99085))+P1(f836(f836(f318(x99081),x99082),x99083))+P1(f836(f61(x99081,x99081,f75(x99081),x99084,f836(f836(f299(x99081),x99082),x99083)),f836(f836(f75(x99081),x99084),x99085)))
% 190.77/190.68 [10120]~P74(x101202)+~P1(f836(f29(x101201),x101205))+E(f836(f836(f9(x101201,x101202),f836(f836(f7(x101201,x101202,x101202),f836(f836(f18(x101201,x101202,f906(x101202,x101202)),f836(f836(f8(a895,f906(x101202,f906(x101202,x101202)),x101201),f86(x101202)),f836(a314,x101203))),x101204)),f72(x101202))),x101205),f72(x101202))+P1(f836(f836(f318(x101201),x101203),x101205))
% 190.77/190.68 [10121]~P73(x101212)+~P1(f836(f29(x101211),x101215))+E(f836(f836(f6(x101211,x101212),f836(f836(f7(x101211,x101212,x101212),f836(f836(f18(x101211,x101212,f906(x101212,x101212)),f836(f836(f8(a895,f906(x101212,f906(x101212,x101212)),x101211),f86(x101212)),f836(a314,x101213))),x101214)),f2(x101212))),x101215),f2(x101212))+P1(f836(f836(f318(x101211),x101213),x101215))
% 190.77/190.68 [10122]~P74(x101222)+~P1(f836(f29(x101221),x101225))+E(f836(f836(f9(x101221,x101222),f836(f836(f7(x101221,x101222,x101222),f836(f836(f18(x101221,x101222,f906(x101222,x101222)),f836(f836(f8(a895,f906(x101222,f906(x101222,x101222)),x101221),f86(x101222)),f836(a314,x101223))),x101224)),f72(x101222))),x101225),f836(x101224,x101223))+~P1(f836(f836(f318(x101221),x101223),x101225))
% 190.77/190.68 [10123]~P73(x101232)+~P1(f836(f29(x101231),x101235))+E(f836(f836(f6(x101231,x101232),f836(f836(f7(x101231,x101232,x101232),f836(f836(f18(x101231,x101232,f906(x101232,x101232)),f836(f836(f8(a895,f906(x101232,f906(x101232,x101232)),x101231),f86(x101232)),f836(a314,x101233))),x101234)),f2(x101232))),x101235),f836(x101234,x101233))+~P1(f836(f836(f318(x101231),x101233),x101235))
% 190.77/190.68 [10181]~P74(x101812)+~P1(f836(f29(x101811),x101815))+E(f836(f836(f9(x101811,x101812),f836(f836(f7(x101811,x101812,x101812),f836(f836(f18(x101811,x101812,f906(x101812,x101812)),f836(f836(f8(a895,f906(x101812,f906(x101812,x101812)),x101811),f86(x101812)),f836(f836(f7(x101811,x101811,a895),a314),x101813))),x101814)),f72(x101812))),x101815),f72(x101812))+P1(f836(f836(f318(x101811),x101813),x101815))
% 190.77/190.68 [10182]~P73(x101822)+~P1(f836(f29(x101821),x101825))+E(f836(f836(f6(x101821,x101822),f836(f836(f7(x101821,x101822,x101822),f836(f836(f18(x101821,x101822,f906(x101822,x101822)),f836(f836(f8(a895,f906(x101822,f906(x101822,x101822)),x101821),f86(x101822)),f836(f836(f7(x101821,x101821,a895),a314),x101823))),x101824)),f2(x101822))),x101825),f2(x101822))+P1(f836(f836(f318(x101821),x101823),x101825))
% 190.77/190.68 [10184]~P74(x101842)+~P1(f836(f29(x101841),x101845))+E(f836(f836(f9(x101841,x101842),f836(f836(f7(x101841,x101842,x101842),f836(f836(f18(x101841,x101842,f906(x101842,x101842)),f836(f836(f8(a895,f906(x101842,f906(x101842,x101842)),x101841),f86(x101842)),f836(f836(f7(x101841,x101841,a895),a314),x101843))),x101844)),f72(x101842))),x101845),f836(x101844,x101843))+~P1(f836(f836(f318(x101841),x101843),x101845))
% 190.77/190.68 [10185]~P73(x101852)+~P1(f836(f29(x101851),x101855))+E(f836(f836(f6(x101851,x101852),f836(f836(f7(x101851,x101852,x101852),f836(f836(f18(x101851,x101852,f906(x101852,x101852)),f836(f836(f8(a895,f906(x101852,f906(x101852,x101852)),x101851),f86(x101852)),f836(f836(f7(x101851,x101851,a895),a314),x101853))),x101854)),f2(x101852))),x101855),f836(x101854,x101853))+~P1(f836(f836(f318(x101851),x101853),x101855))
% 190.77/190.68 [7943]~P67(x79432)+~P1(f836(f29(x79431),x79434))+E(f836(f836(f6(x79431,x79432),x79433),f836(f836(f23(f906(x79431,a895)),x79434),f836(f836(f299(x79431),x79435),f178(f906(x79431,a895))))),f836(f836(f6(x79431,x79432),x79433),x79434))+P1(f836(f836(f318(x79431),x79435),x79434))
% 190.77/190.68 [8446]~P132(x84462)+~P1(f836(f29(x84461),x84464))+E(f836(f836(f6(x84461,x84462),x84463),f836(f836(f23(f906(x84461,a895)),x84464),f836(f836(f299(x84461),x84465),f178(f906(x84461,a895))))),f836(f836(f23(x84462),f836(f836(f6(x84461,x84462),x84463),x84464)),f836(x84463,x84465)))+~P1(f836(f836(f318(x84461),x84465),x84464))
% 190.77/190.68 [8447]~P67(x84472)+~P1(f836(f29(x84471),x84474))+E(f836(f836(f6(x84471,x84472),x84473),f836(f836(f23(f906(x84471,a895)),x84474),f836(f836(f299(x84471),x84475),f178(f906(x84471,a895))))),f836(f836(f23(x84472),f836(f836(f6(x84471,x84472),x84473),x84474)),f836(x84473,x84475)))+~P1(f836(f836(f318(x84471),x84475),x84474))
% 190.77/190.68 [8459]~P112(x84591)+~P1(f836(f836(f224(a899),x84593),x84595))+~P1(f836(f836(f277(x84591),f836(f836(f234(x84591),x84592),x84595)),x84594))+P1(f836(f836(f277(x84591),f836(f836(f234(x84591),x84592),x84593)),x84594))
% 190.77/190.68 [8477]~P67(x84771)+~P1(f836(f29(x84772),x84774))+E(f836(f836(f23(x84771),f836(f836(f6(x84772,x84771),x84773),x84774)),f836(f836(f6(x84772,x84771),x84773),x84775)),f836(f836(f6(x84772,x84771),x84773),f836(f836(f23(f906(x84772,a895)),x84774),x84775)))+~P1(f836(f836(f224(f906(x84772,a895)),x84775),x84774))
% 190.77/190.68 [8496]P1(f836(f29(x84961),f836(x84962,x84963)))+~P1(f836(f29(x84964),x84965))+~P1(f836(f836(f318(x84964),x84963),x84965))+~P1(f836(f29(x84961),f836(f836(f35(x84964,f906(x84961,a895)),x84965),x84962)))
% 190.77/190.68 [8951]~P8(x89511,x89515,x89514)+~E(f836(f275(x89511,x89511,x89514),f836(f836(f299(x89511),x89512),f178(f906(x89511,a895)))),f836(f275(x89511,x89511,x89514),f836(f836(f299(x89511),x89513),f178(f906(x89511,a895)))))+~P1(f836(f836(f318(x89511),x89513),x89515))+P1(f836(f836(f318(f905(x89511,x89511)),f836(f836(f242(x89511,x89511),x89512),x89513)),x89514))
% 190.77/190.68 [9249]~P1(f836(x92491,x92495))+P1(f836(x92491,f326(x92491,x92492,x92493,x92494)))+P1(f836(x92491,f324(x92491,x92492,x92493,x92494)))+~P1(f836(f836(f318(x92494),x92495),f836(f836(f91(f906(x92494,a895)),x92493),x92492)))
% 190.77/190.68 [9438]~P1(f836(x94381,x94385))+P1(f836(x94381,f324(x94381,x94382,x94383,x94384)))+P1(f836(f836(f318(x94384),f326(x94381,x94382,x94383,x94384)),x94382))+~P1(f836(f836(f318(x94384),x94385),f836(f836(f91(f906(x94384,a895)),x94383),x94382)))
% 190.77/190.68 [9439]~P1(f836(x94391,x94395))+P1(f836(x94391,f326(x94391,x94392,x94393,x94394)))+P1(f836(f836(f318(x94394),f324(x94391,x94392,x94393,x94394)),x94393))+~P1(f836(f836(f318(x94394),x94395),f836(f836(f91(f906(x94394,a895)),x94393),x94392)))
% 190.77/190.68 [9443]P1(f836(x94431,x94432))+~P1(f836(x94431,f325(x94431,x94433,x94434,x94435)))+~P1(f836(x94431,f893(x94431,x94433,x94434,x94435)))+~P1(f836(f836(f318(x94435),x94432),f836(f836(f91(f906(x94435,a895)),x94434),x94433)))
% 190.77/190.68 [9448]~P37(x94481,x94484)+~P1(f836(f836(f318(f905(x94481,x94481)),f836(f836(f242(x94481,x94481),x94482),x94485)),x94484))+P1(f836(f836(f318(f905(x94481,x94481)),f836(f836(f242(x94481,x94481),x94482),x94483)),x94484))+~P1(f836(f836(f318(f905(x94481,x94481)),f836(f836(f242(x94481,x94481),x94485),x94483)),x94484))
% 190.77/190.68 [9487]E(x94871,x94872)+~P1(f836(f836(f318(f905(x94873,x94873)),f836(f836(f242(x94873,x94873),x94871),x94872)),f297(x94873,x94875)))+P1(f836(f836(f318(x94873),x94871),x94874))+~P1(f836(f836(f224(f906(f905(x94873,x94873),a895)),x94875),f836(f836(f244(x94873,x94873),x94874),f836(f16(f906(x94873,a895),x94873),x94874))))
% 190.77/190.68 [9505]P1(f836(x95051,x95052))+~P1(f836(x95051,f893(x95051,x95054,x95055,x95053)))+P1(f836(f836(f318(x95053),f325(x95051,x95054,x95055,x95053)),x95054))+~P1(f836(f836(f318(x95053),x95052),f836(f836(f91(f906(x95053,a895)),x95055),x95054)))
% 190.77/190.68 [9506]P1(f836(x95061,x95062))+~P1(f836(x95061,f325(x95061,x95064,x95065,x95063)))+P1(f836(f836(f318(x95063),f893(x95061,x95064,x95065,x95063)),x95065))+~P1(f836(f836(f318(x95063),x95062),f836(f836(f91(f906(x95063,a895)),x95065),x95064)))
% 190.77/190.68 [9574]P1(f836(x95741,x95742))+P1(f836(f836(f318(x95743),f325(x95741,x95744,x95745,x95743)),x95744))+P1(f836(f836(f318(x95743),f893(x95741,x95744,x95745,x95743)),x95745))+~P1(f836(f836(f318(x95743),x95742),f836(f836(f91(f906(x95743,a895)),x95745),x95744)))
% 190.77/190.68 [9576]~P1(f836(x95762,x95765))+P1(f836(f836(f318(x95761),f326(x95762,x95763,x95764,x95761)),x95763))+P1(f836(f836(f318(x95761),f324(x95762,x95763,x95764,x95761)),x95764))+~P1(f836(f836(f318(x95761),x95765),f836(f836(f91(f906(x95761,a895)),x95764),x95763)))
% 190.77/190.68 [9732]~P8(x97321,x97325,x97324)+~P1(f836(f836(f318(x97321),x97323),x97325))+P1(f836(f836(f318(f905(x97321,x97321)),f836(f836(f242(x97321,x97321),x97322),x97323)),x97324))+~P1(f836(f836(f224(f906(x97321,a895)),f836(f275(x97321,x97321,x97324),f836(f836(f299(x97321),x97323),f178(f906(x97321,a895))))),f836(f275(x97321,x97321,x97324),f836(f836(f299(x97321),x97322),f178(f906(x97321,a895))))))
% 190.77/190.68 [9859]~P108(x98595)+~P5(x98595)+P1(f836(f836(f318(x98591),f582(x98592,x98593,x98594,x98591,x98595)),x98594))+~P1(f836(f836(f225(x98595),f836(f836(f36(x98591,x98595),x98594),x98593)),x98592))
% 190.77/190.68 [9891]~P85(x98915)+~P79(x98915)+P1(f836(f836(f318(x98911),f672(x98912,x98913,x98914,x98911,x98915)),f836(f162(x98911),x98914)))+P1(f836(f836(f224(x98915),f836(f155(x98915),f836(f836(f144(x98911,x98915),x98913),x98914))),f836(f155(x98915),f836(f836(f144(x98911,x98915),x98912),x98914))))
% 190.77/190.68 [9999]~P108(x99991)+~P5(x99991)+P1(f836(f836(f225(x99991),f836(x99992,f582(x99993,x99992,x99994,x99995,x99991))),x99993))+~P1(f836(f836(f225(x99991),f836(f836(f36(x99995,x99991),x99994),x99992)),x99993))
% 190.77/190.68 [10138]~P85(x101381)+~P79(x101381)+~P1(f836(f836(f224(x101381),f836(x101383,f672(x101385,x101383,x101384,x101382,x101381))),f836(x101385,f672(x101385,x101383,x101384,x101382,x101381))))+P1(f836(f836(f224(x101381),f836(f155(x101381),f836(f836(f144(x101382,x101381),x101383),x101384))),f836(f155(x101381),f836(f836(f144(x101382,x101381),x101385),x101384))))
% 190.77/190.68 [8790]~P74(x87901)+~P1(f836(f29(x87904),x87905))+~P1(f836(f836(f318(x87904),x87903),x87905))+E(f836(f836(f75(x87901),f836(x87902,x87903)),f836(f836(f9(x87904,x87901),x87902),f836(f836(f23(f906(x87904,a895)),x87905),f836(f836(f299(x87904),x87903),f178(f906(x87904,a895)))))),f836(f836(f9(x87904,x87901),x87902),x87905))
% 190.77/190.68 [8792]~P73(x87921)+~P1(f836(f29(x87924),x87925))+~P1(f836(f836(f318(x87924),x87923),x87925))+E(f836(f836(f74(x87921),f836(x87922,x87923)),f836(f836(f6(x87924,x87921),x87922),f836(f836(f23(f906(x87924,a895)),x87925),f836(f836(f299(x87924),x87923),f178(f906(x87924,a895)))))),f836(f836(f6(x87924,x87921),x87922),x87925))
% 190.77/190.68 [8852]~P18(x88521,x88524,x88525)+~P1(f836(f29(x88521),x88522))+E(f836(f836(f23(f906(x88521,a895)),x88522),f836(f836(f299(x88521),x88523),f178(f906(x88521,a895)))),f178(f906(x88521,a895)))+E(f836(f836(x88524,x88523),f836(x88525,f836(f836(f23(f906(x88521,a895)),x88522),f836(f836(f299(x88521),x88523),f178(f906(x88521,a895)))))),f836(x88525,f836(f836(f299(x88521),x88523),x88522)))
% 190.77/190.68 [9227]~P73(x92271)+~P1(f836(f29(x92272),x92275))+~P1(f836(f29(x92272),x92274))+E(f836(f836(f74(x92271),f836(f836(f6(x92272,x92271),x92273),f836(f836(f91(f906(x92272,a895)),x92274),x92275))),f836(f836(f6(x92272,x92271),x92273),f836(f836(f92(f906(x92272,a895)),x92274),x92275))),f836(f836(f74(x92271),f836(f836(f6(x92272,x92271),x92273),x92274)),f836(f836(f6(x92272,x92271),x92273),x92275)))
% 190.77/190.68 [9229]~P74(x92291)+~P1(f836(f29(x92292),x92295))+~P1(f836(f29(x92292),x92294))+E(f836(f836(f75(x92291),f836(f836(f9(x92292,x92291),x92293),f836(f836(f91(f906(x92292,a895)),x92294),x92295))),f836(f836(f9(x92292,x92291),x92293),f836(f836(f92(f906(x92292,a895)),x92294),x92295))),f836(f836(f75(x92291),f836(f836(f9(x92292,x92291),x92293),x92294)),f836(f836(f9(x92292,x92291),x92293),x92295)))
% 190.77/190.68 [9371]~P67(x93711)+~P1(f836(f29(x93712),x93715))+~P1(f836(f29(x93712),x93714))+E(f836(f836(f23(x93711),f836(f836(f74(x93711),f836(f836(f6(x93712,x93711),x93713),x93714)),f836(f836(f6(x93712,x93711),x93713),x93715))),f836(f836(f6(x93712,x93711),x93713),f836(f836(f92(f906(x93712,a895)),x93714),x93715))),f836(f836(f6(x93712,x93711),x93713),f836(f836(f91(f906(x93712,a895)),x93714),x93715)))
% 190.77/190.68 [9590]~P24(x95901,x95902,x95903,x95905)+~P24(x95901,x95902,x95903,x95904)+P24(x95901,x95902,x95903,f836(f836(f91(f906(x95901,a895)),x95904),x95905))+~E(f836(f836(f92(f906(x95902,a895)),f836(f300(x95901,x95902,x95903),f836(f836(f23(f906(x95901,a895)),x95904),x95905))),f836(f300(x95901,x95902,x95903),f836(f836(f23(f906(x95901,a895)),x95905),x95904))),f178(f906(x95902,a895)))
% 190.77/190.68 [9707]E(x97071,f2(a1))+~P1(f836(f836(f225(a1),f2(a1)),x97073))+~P1(f836(f45(x97072,x97071),f836(f836(f242(a1,a1),x97074),x97075)))+P1(f836(f45(x97072,f836(f836(f75(a1),x97071),x97073)),f836(f836(f242(a1,a1),f836(f836(f31(a1),x97074),x97073)),f836(f836(f74(a1),f836(f836(f75(a1),x97071),f41(a1,x97074,x97073))),x97075))))
% 190.77/190.68 [9715]~P1(f836(f836(f225(a899),f2(a899)),x97153))+~P1(f836(f836(f225(a899),f2(a899)),x97152))+~P1(f836(f44(x97151,x97152),f836(f836(f242(a899,a899),x97154),x97155)))+P1(f836(f44(x97151,f836(f836(f75(a899),x97152),x97153)),f836(f836(f242(a899,a899),f836(f836(f31(a899),x97154),x97153)),f836(f836(f74(a899),f836(f836(f75(a899),x97152),f41(a899,x97154,x97153))),x97155))))
% 190.77/190.68 [9764]~P74(x97641)+~P1(f836(f29(x97642),x97645))+~P1(f836(f29(x97642),x97644))+E(f836(f836(f75(x97641),f836(f836(f836(f60(x97641,x97642,f75(x97641)),x97643),f72(x97641)),f836(f836(f91(f906(x97642,a895)),x97644),x97645))),f836(f836(f836(f60(x97641,x97642,f75(x97641)),x97643),f72(x97641)),f836(f836(f92(f906(x97642,a895)),x97644),x97645))),f836(f836(f75(x97641),f836(f836(f836(f60(x97641,x97642,f75(x97641)),x97643),f72(x97641)),x97644)),f836(f836(f836(f60(x97641,x97642,f75(x97641)),x97643),f72(x97641)),x97645)))
% 190.77/190.68 [9766]~E(f836(f836(f165(x97661),x97665),x97662),f836(f836(f165(x97661),x97665),x97663))+P1(f836(f836(f318(f905(f900(x97661),f900(x97661))),f836(f836(f242(f900(x97661),f900(x97661)),x97662),x97663)),f137(x97661,x97664)))+~P1(f836(f836(f225(a899),x97665),f836(f836(f228(a899),f836(f179(f900(x97661)),x97662)),f836(f179(f900(x97661)),x97663))))+~P1(f836(f836(f318(f905(x97661,x97661)),f836(f836(f242(x97661,x97661),f836(f836(f154(x97661),x97662),x97665)),f836(f836(f154(x97661),x97663),x97665))),x97664))
% 190.77/190.68 [9880]~P85(x98805)+~P144(x98805)+P1(f836(f836(f318(x98801),f404(x98802,x98803,x98804,x98801,x98805)),x98804))+P1(f836(f836(f224(x98805),f836(f836(f6(x98801,x98805),x98803),x98804)),f836(f836(f75(x98805),f836(f90(x98805),f836(f30(x98801),x98804))),x98802)))
% 190.77/190.68 [10056]~P85(x100561)+~P144(x100561)+~P1(f836(f836(f224(x100561),f836(x100563,f404(x100565,x100563,x100564,x100562,x100561))),x100565))+P1(f836(f836(f224(x100561),f836(f836(f6(x100562,x100561),x100563),x100564)),f836(f836(f75(x100561),f836(f90(x100561),f836(f30(x100562),x100564))),x100565)))
% 190.77/190.68 [8820]E(f836(f836(f124(x88201),x88202),x88203),f836(f836(f124(x88201),x88204),x88205))+~E(f836(f836(f165(x88201),f836(f179(f900(x88201)),x88202)),x88204),x88202)+~E(f836(f836(f124(x88201),f836(f836(f128(x88201),f836(f179(f900(x88201)),x88202)),x88204)),x88205),x88203)+P1(f836(f836(f224(a899),f836(f179(f900(x88201)),x88204)),f836(f179(f900(x88201)),x88202)))
% 190.77/190.68 [8950]E(f836(f836(f124(x89501),x89502),x89503),f836(f836(f124(x89501),x89504),x89505))+~E(f836(f836(f165(x89501),f836(f179(f900(x89501)),x89502)),x89504),x89502)+~E(x89503,f836(f836(f124(x89501),f836(f836(f128(x89501),f836(f179(f900(x89501)),x89502)),x89504)),x89505))+~P1(f836(f836(f224(a899),f836(f179(f900(x89501)),x89502)),f836(f179(f900(x89501)),x89504)))
% 190.77/190.68 [10202]~P1(f836(x102025,x102024))+~P1(f836(f29(x102022),f836(f252(x102022),x102025)))+P1(f836(f29(x102021),f836(f252(x102021),f836(f836(f7(x102021,x102022,a895),x102023),x102024))))+~P1(f836(f29(x102021),f836(f252(x102021),f836(f836(f8(f906(x102022,a895),a895,x102021),f81(x102022)),f836(f836(f8(f906(x102022,a895),f906(x102022,a895),x102021),f836(f18(x102022,a895,a895),f836(f836(f8(a895,f906(a895,a895),x102022),a315),x102025))),x102023)))))
% 190.77/190.68 [10278]~P1(f836(f29(x102782),x102785))+~P1(f836(f836(f318(x102782),x102784),x102785))+P1(f836(f29(x102781),f836(f252(x102781),f836(f836(f7(x102781,x102782,a895),x102783),x102784))))+~P1(f836(f29(x102781),f836(f252(x102781),f836(f836(f8(f906(x102782,a895),a895,x102781),f81(x102782)),f836(f836(f8(f906(x102782,a895),f906(x102782,a895),x102781),f836(f18(x102782,a895,a895),f836(f836(f8(a895,f906(a895,a895),x102782),a315),f836(f836(f7(x102782,f906(x102782,a895),a895),f318(x102782)),x102785)))),x102783)))))
% 190.77/190.68 [8606]~P19(x86065,x86061,x86066,x86062)+E(f836(f67(x86061,x86061,x86061,f836(x86062,x86063)),f836(x86062,x86064)),f836(f67(x86061,x86061,x86061,f836(x86062,x86064)),f836(x86062,x86063)))+~P1(f836(f29(x86065),x86064))+~P1(f836(f29(x86065),x86063))
% 190.77/190.68 [7999]~P24(x79991,x79992,x79994,x79993)+~E(f836(x79994,x79996),x79995)+E(f836(f71(x79991,x79992,x79993,x79994),x79995),x79996)+~P1(f836(f836(f318(x79991),x79996),x79993))
% 190.77/190.68 [8000]~P24(x80001,x80002,x80004,x80003)+~E(f836(x80004,x80006),x80005)+E(f836(f85(x80001,x80002,x80003,x80004),x80005),x80006)+~P1(f836(f836(f318(x80001),x80006),x80003))
% 190.77/190.68 [8193]~P20(x81936,x81931,x81934,x81932)+E(f836(f67(x81931,x81931,x81931,f836(x81932,x81933)),f836(x81934,x81935)),f836(x81932,x81933))+~P1(f836(f29(x81936),x81933))+~P1(f836(f836(f318(x81936),x81935),x81933))
% 190.77/190.68 [9321]E(x93211,x93212)+~E(f836(f85(x93213,x93214,x93215,x93216),x93211),f836(f85(x93213,x93214,x93215,x93216),x93212))+~P1(f836(f836(f318(x93214),x93212),f836(f300(x93213,x93214,x93216),x93215)))+~P1(f836(f836(f318(x93214),x93211),f836(f300(x93213,x93214,x93216),x93215)))
% 190.77/190.68 [9422]~P19(x94223,x94221,x94226,x94222)+E(f836(f67(x94221,x94221,x94221,f836(x94222,f836(f836(f23(f906(x94223,a895)),x94224),f836(f836(f299(x94223),x94225),f178(f906(x94223,a895)))))),f836(x94226,x94225)),f836(x94222,x94224))+~P1(f836(f29(x94223),x94224))+~P1(f836(f836(f318(x94223),x94225),x94224))
% 190.77/190.68 [7080]~P4(x70801)+~E(f41(x70801,x70803,x70804),f41(x70801,x70806,x70804))+~E(f41(x70801,x70802,x70804),f41(x70801,x70805,x70804))+E(f41(x70801,f836(f836(f23(x70801),x70802),x70803),x70804),f41(x70801,f836(f836(f23(x70801),x70805),x70806),x70804))
% 190.77/190.68 [7081]~P3(x70811)+~E(f41(x70811,x70813,x70814),f41(x70811,x70816,x70814))+~E(f41(x70811,x70812,x70814),f41(x70811,x70815,x70814))+E(f41(x70811,f836(f836(f74(x70811),x70812),x70813),x70814),f41(x70811,f836(f836(f74(x70811),x70815),x70816),x70814))
% 190.77/190.68 [7082]~P3(x70821)+~E(f41(x70821,x70823,x70824),f41(x70821,x70826,x70824))+~E(f41(x70821,x70822,x70824),f41(x70821,x70825,x70824))+E(f41(x70821,f836(f836(f75(x70821),x70822),x70823),x70824),f41(x70821,f836(f836(f75(x70821),x70825),x70826),x70824))
% 190.77/190.68 [7894]~P16(x78941,x78942,x78943)+~P1(f836(f29(x78941),x78946))+E(f836(f836(f59(x78941,x78942,x78943),x78944),f836(f836(f299(x78941),x78945),x78946)),f836(f836(f59(x78941,x78942,x78943),f836(f836(x78943,x78945),x78944)),x78946))+P1(f836(f836(f318(x78941),x78945),x78946))
% 190.77/190.68 [7958]~P5(x79581)+P1(f836(f836(f224(x79581),x79582),f836(x79583,x79584)))+~P1(f836(f836(f318(x79585),x79584),x79586))+~P1(f836(f836(f224(x79581),x79582),f836(f836(f36(x79585,x79581),x79586),x79583)))
% 190.77/190.68 [8115]~P16(x81151,x81152,x81153)+~P1(f836(f29(x81151),x81156))+E(f836(f836(f59(x81151,x81152,x81153),x81154),f836(f836(f299(x81151),x81155),x81156)),f836(f836(x81153,x81155),f836(f836(f59(x81151,x81152,x81153),x81154),x81156)))+P1(f836(f836(f318(x81151),x81155),x81156))
% 190.77/190.68 [8211]~P108(x82113)+~P1(f836(x82112,x82115))+~P13(x82113,f836(f836(f144(x82111,x82113),x82114),x82116))+E(f836(f126(x82111,x82112),f836(f836(f138(x82111,x82113,x82114),x82115),x82116)),f836(f836(f138(x82111,x82113,x82114),x82115),f836(f126(x82111,x82112),x82116)))
% 190.77/190.68 [8234]E(x82341,x82342)+E(x82343,f2(a1))+~P1(f836(f45(x82344,x82343),f836(f836(f242(a1,a1),x82345),x82342)))+~P1(f836(f45(x82344,x82343),f836(f836(f242(a1,a1),x82346),x82341)))
% 190.77/190.68 [8235]E(x82351,x82352)+E(x82353,f2(a1))+~P1(f836(f45(x82354,x82353),f836(f836(f242(a1,a1),x82352),x82355)))+~P1(f836(f45(x82354,x82353),f836(f836(f242(a1,a1),x82351),x82356)))
% 190.77/190.68 [8258]~P19(x82582,x82585,x82586,x82581)+~P1(f836(f29(x82582),x82584))+E(f836(x82581,f836(f836(f299(x82582),x82583),x82584)),f836(f67(x82585,x82585,x82585,f836(x82581,x82584)),f836(x82586,x82583)))+P1(f836(f836(f318(x82582),x82583),x82584))
% 190.77/190.68 [8480]~P20(x84805,x84801,x84806,x84802)+E(f836(f67(x84801,x84801,x84801,f836(x84802,x84803)),f836(x84802,x84804)),f836(x84802,x84803))+~P1(f836(f29(x84805),x84803))+~P1(f836(f836(f224(f906(x84805,a895)),x84804),x84803))
% 190.77/190.68 [9637]~P24(x96371,x96372,x96374,x96373)+~P1(f836(f836(f318(x96372),x96375),f836(f300(x96371,x96372,x96374),x96373)))+P1(f836(f836(f318(x96371),f836(f71(x96371,x96372,x96373,x96374),x96375)),x96376))+~P1(f836(f836(f224(f906(x96371,a895)),x96373),x96376))
% 190.77/190.68 [10010]~P73(x100102)+~E(f529(x100101,x100103,x100105,x100106,x100104,x100102),f530(x100101,x100103,x100105,x100106,x100104,x100102))+~P1(f836(f29(x100104),x100106))+E(f836(f836(f6(x100101,x100102),x100103),f836(f300(x100104,x100101,x100105),x100106)),f836(f836(f6(x100104,x100102),f836(f67(x100101,x100102,x100104,x100103),x100105)),x100106))
% 190.77/190.68 [10038]~P73(x100386)+E(f836(x100381,f529(x100382,x100383,x100381,x100384,x100385,x100386)),f836(x100381,f530(x100382,x100383,x100381,x100384,x100385,x100386)))+E(f836(f836(f6(x100382,x100386),x100383),f836(f300(x100385,x100382,x100381),x100384)),f836(f836(f6(x100385,x100386),f836(f67(x100382,x100386,x100385,x100383),x100381)),x100384))+~P1(f836(f29(x100385),x100384))
% 190.77/190.68 [10088]~P73(x100882)+~E(f836(x100883,f836(x100885,f530(x100881,x100883,x100885,x100886,x100884,x100882))),f2(x100882))+~P1(f836(f29(x100884),x100886))+E(f836(f836(f6(x100881,x100882),x100883),f836(f300(x100884,x100881,x100885),x100886)),f836(f836(f6(x100884,x100882),f836(f67(x100881,x100882,x100884,x100883),x100885)),x100886))
% 190.77/190.68 [10146]~P73(x101462)+~P1(f836(f29(x101464),x101466))+E(f836(f836(f6(x101461,x101462),x101463),f836(f300(x101464,x101461,x101465),x101466)),f836(f836(f6(x101464,x101462),f836(f67(x101461,x101462,x101464,x101463),x101465)),x101466))+P1(f836(f836(f318(x101464),f530(x101461,x101463,x101465,x101466,x101464,x101462)),x101466))
% 190.77/190.68 [10147]~P73(x101472)+~P1(f836(f29(x101474),x101476))+E(f836(f836(f6(x101471,x101472),x101473),f836(f300(x101474,x101471,x101475),x101476)),f836(f836(f6(x101474,x101472),f836(f67(x101471,x101472,x101474,x101473),x101475)),x101476))+P1(f836(f836(f318(x101474),f529(x101471,x101473,x101475,x101476,x101474,x101472)),x101476))
% 190.77/190.68 [10277]~P74(x102771)+~P1(f836(f29(x102772),x102776))+E(f836(f836(f836(f60(x102771,x102772,f75(x102771)),f836(f836(f18(x102772,f906(x102773,a895),x102771),f836(f836(f7(x102772,x102771,f906(f906(x102773,a895),x102771)),f836(f836(f8(f906(x102773,x102771),f906(x102771,f906(f906(x102773,a895),x102771)),x102772),f60(x102771,x102773,f75(x102771))),x102774)),f72(x102771))),x102775)),f72(x102771)),x102776),f836(f836(f836(f60(x102771,f905(x102772,x102773),f75(x102771)),f836(f247(x102772,x102773,x102771),x102774)),f72(x102771)),f836(f836(f244(x102772,x102773),x102776),x102775)))+P1(f836(f836(f318(x102772),f472(x102774,x102775,x102773,x102776,x102772,x102771)),x102776))
% 190.77/190.68 [10299]~P74(x102991)+~P1(f836(f29(x102992),x102996))+E(f836(f836(f836(f60(x102991,x102992,f75(x102991)),f836(f836(f18(x102992,f906(x102993,a895),x102991),f836(f836(f7(x102992,x102991,f906(f906(x102993,a895),x102991)),f836(f836(f8(f906(x102993,x102991),f906(x102991,f906(f906(x102993,a895),x102991)),x102992),f60(x102991,x102993,f75(x102991))),x102994)),f72(x102991))),x102995)),f72(x102991)),x102996),f836(f836(f836(f60(x102991,f905(x102992,x102993),f75(x102991)),f836(f247(x102992,x102993,x102991),x102994)),f72(x102991)),f836(f836(f244(x102992,x102993),x102996),x102995)))+~P1(f836(f29(x102993),f836(x102995,f472(x102994,x102995,x102993,x102996,x102992,x102991))))
% 190.77/190.68 [8390]~P20(x83902,x83905,x83906,x83901)+~P1(f836(f29(x83902),x83904))+~P1(f836(f29(x83902),x83903))+E(f836(x83901,f836(f836(f91(f906(x83902,a895)),x83903),x83904)),f836(f67(x83905,x83905,x83905,f836(x83901,x83903)),f836(x83901,x83904)))
% 190.77/190.68 [8607]~P5(x86071)+P1(f836(f836(f224(x86071),f836(x86072,x86073)),x86074))+~P1(f836(f836(f318(x86075),x86073),x86076))+~P1(f836(f836(f224(x86071),f836(f836(f35(x86075,x86071),x86076),x86072)),x86074))
% 190.77/190.68 [9036]~P24(x90362,x90361,x90363,x90366)+E(f836(f836(f23(f906(x90361,a895)),f836(f300(x90362,x90361,x90363),x90364)),f836(f300(x90362,x90361,x90363),x90365)),f836(f300(x90362,x90361,x90363),f836(f836(f23(f906(x90362,a895)),x90364),x90365)))+~P1(f836(f836(f224(f906(x90362,a895)),x90365),x90366))+~P1(f836(f836(f224(f906(x90362,a895)),x90364),x90366))
% 190.77/190.68 [9037]~P24(x90372,x90371,x90373,x90376)+E(f836(f836(f92(f906(x90371,a895)),f836(f300(x90372,x90371,x90373),x90374)),f836(f300(x90372,x90371,x90373),x90375)),f836(f300(x90372,x90371,x90373),f836(f836(f92(f906(x90372,a895)),x90374),x90375)))+~P1(f836(f836(f224(f906(x90372,a895)),x90375),x90376))+~P1(f836(f836(f224(f906(x90372,a895)),x90374),x90376))
% 190.77/190.68 [9295]E(x92951,x92952)+~P54(x92953,x92954,x92955)+~P1(f836(f836(f318(f905(x92953,x92954)),f836(f836(f242(x92953,x92954),x92956),x92952)),x92955))+~P1(f836(f836(f318(f905(x92953,x92954)),f836(f836(f242(x92953,x92954),x92956),x92951)),x92955))
% 190.77/190.68 [10084]~P71(x100841)+~E(f836(x100843,f568(x100844,x100846,x100843,x100845,x100842,x100841)),f836(x100846,f568(x100844,x100846,x100843,x100845,x100842,x100841)))+~P1(f836(f29(x100842),x100845))+E(f836(f836(f836(f60(x100841,x100842,f75(x100841)),x100843),x100844),x100845),f836(f836(f836(f60(x100841,x100842,f75(x100841)),x100846),x100844),x100845))
% 190.77/190.68 [10144]~P71(x101441)+~P1(f836(f29(x101442),x101445))+E(f836(f836(f836(f60(x101441,x101442,f75(x101441)),x101443),x101444),x101445),f836(f836(f836(f60(x101441,x101442,f75(x101441)),x101446),x101444),x101445))+P1(f836(f836(f318(x101442),f568(x101444,x101443,x101446,x101445,x101442,x101441)),x101445))
% 190.77/190.68 [8834]~P71(x88341)+~P1(f836(f29(x88342),x88346))+P1(f836(f836(f318(x88342),x88345),x88346))+E(f836(f836(f836(f60(x88341,x88342,f75(x88341)),x88343),x88344),f836(f836(f299(x88342),x88345),x88346)),f836(f836(f75(x88341),f836(x88343,x88345)),f836(f836(f836(f60(x88341,x88342,f75(x88341)),x88343),x88344),x88346)))
% 190.77/190.68 [8887]~P8(x88871,x88876,x88873)+~P11(x88871,f906(x88872,a895),x88873,x88875)+~P1(f836(f836(f318(x88871),x88874),x88876))+E(f836(f836(f35(x88871,f906(x88872,a895)),f836(f275(x88871,x88871,x88873),f836(f836(f299(x88871),x88874),f178(f906(x88871,a895))))),x88875),f836(x88875,x88874))
% 190.77/190.68 [9013]~P16(x90133,x90134,x90131)+~P1(f836(f29(x90133),x90136))+~P1(f836(f836(f318(x90133),x90132),x90136))+E(f836(f836(x90131,x90132),f836(f836(f59(x90133,x90134,x90131),x90135),f836(f836(f23(f906(x90133,a895)),x90136),f836(f836(f299(x90133),x90132),f178(f906(x90133,a895)))))),f836(f836(f59(x90133,x90134,x90131),x90135),x90136))
% 190.77/190.68 [9305]~P19(x93053,x93051,x93056,x93052)+~P1(f836(f29(x93053),x93055))+~P1(f836(f29(x93053),x93054))+E(f836(f67(x93051,x93051,x93051,f836(x93052,f836(f836(f91(f906(x93053,a895)),x93054),x93055))),f836(x93052,f836(f836(f92(f906(x93053,a895)),x93054),x93055))),f836(f67(x93051,x93051,x93051,f836(x93052,x93054)),f836(x93052,x93055)))
% 190.77/190.68 [9660]~E(x96603,f836(f836(f149(x96601,x96602),x96605),x96606))+P1(f836(f836(f318(f905(f900(x96601),f900(x96601))),f836(f836(f242(f900(x96601),f900(x96601)),x96602),x96603)),f147(x96601,x96604)))+~P1(f836(f836(f225(a899),x96605),f836(f179(f900(x96601)),x96602)))+~P1(f836(f836(f318(f905(x96601,x96601)),f836(f836(f242(x96601,x96601),f836(f836(f154(x96601),x96602),x96605)),x96606)),x96604))
% 190.77/190.68 [10161]~P74(x101612)+~P1(f836(f29(x101611),x101616))+P1(f836(f836(f318(x101611),f474(x101614,x101615,x101613,x101616,x101611,x101612)),x101616))+E(f836(f836(f9(x101611,x101612),f836(f836(f18(x101611,f906(x101613,a895),x101612),f836(f836(f8(f906(x101613,x101612),f906(f906(x101613,a895),x101612),x101611),f9(x101613,x101612)),x101614)),x101615)),x101616),f836(f836(f9(f905(x101611,x101613),x101612),f836(f247(x101611,x101613,x101612),x101614)),f836(f836(f244(x101611,x101613),x101616),x101615)))
% 190.77/190.68 [10162]~P73(x101622)+~P1(f836(f29(x101621),x101626))+P1(f836(f836(f318(x101621),f475(x101624,x101625,x101623,x101626,x101621,x101622)),x101626))+E(f836(f836(f6(x101621,x101622),f836(f836(f18(x101621,f906(x101623,a895),x101622),f836(f836(f8(f906(x101623,x101622),f906(f906(x101623,a895),x101622),x101621),f6(x101623,x101622)),x101624)),x101625)),x101626),f836(f836(f6(f905(x101621,x101623),x101622),f836(f247(x101621,x101623,x101622),x101624)),f836(f836(f244(x101621,x101623),x101626),x101625)))
% 190.77/190.68 [10200]~P74(x102002)+~P1(f836(f29(x102001),x102006))+~P1(f836(f29(x102003),f836(x102005,f474(x102004,x102005,x102003,x102006,x102001,x102002))))+E(f836(f836(f9(x102001,x102002),f836(f836(f18(x102001,f906(x102003,a895),x102002),f836(f836(f8(f906(x102003,x102002),f906(f906(x102003,a895),x102002),x102001),f9(x102003,x102002)),x102004)),x102005)),x102006),f836(f836(f9(f905(x102001,x102003),x102002),f836(f247(x102001,x102003,x102002),x102004)),f836(f836(f244(x102001,x102003),x102006),x102005)))
% 190.77/190.68 [10201]~P73(x102012)+~P1(f836(f29(x102011),x102016))+~P1(f836(f29(x102013),f836(x102015,f475(x102014,x102015,x102013,x102016,x102011,x102012))))+E(f836(f836(f6(x102011,x102012),f836(f836(f18(x102011,f906(x102013,a895),x102012),f836(f836(f8(f906(x102013,x102012),f906(f906(x102013,a895),x102012),x102011),f6(x102013,x102012)),x102014)),x102015)),x102016),f836(f836(f6(f905(x102011,x102013),x102012),f836(f247(x102011,x102013,x102012),x102014)),f836(f836(f244(x102011,x102013),x102016),x102015)))
% 190.77/190.68 [10183]~P74(x101832)+~P1(f836(f29(x101831),x101836))+P1(f836(f836(f318(x101831),x101833),x101836))+E(f836(f836(f9(x101831,x101832),f836(f836(f7(x101831,x101832,x101832),f836(f836(f18(x101831,x101832,f906(x101832,x101832)),f836(f836(f8(a895,f906(x101832,f906(x101832,x101832)),x101831),f86(x101832)),f836(f836(f7(x101831,x101831,a895),a314),x101833))),x101834)),x101835)),x101836),f836(f836(f234(x101832),x101835),f836(f30(x101831),x101836)))
% 190.77/190.68 [10186]~P74(x101862)+~P1(f836(f29(x101861),x101866))+~P1(f836(f836(f318(x101861),x101863),x101866))+E(f836(f836(f9(x101861,x101862),f836(f836(f7(x101861,x101862,x101862),f836(f836(f18(x101861,x101862,f906(x101862,x101862)),f836(f836(f8(a895,f906(x101862,f906(x101862,x101862)),x101861),f86(x101862)),f836(f836(f7(x101861,x101861,a895),a314),x101863))),x101864)),x101865)),x101866),f836(f836(f75(x101862),f836(x101864,x101863)),f836(f836(f234(x101862),x101865),f836(f836(f23(a899),f836(f30(x101861),x101866)),f72(a899)))))
% 190.77/190.68 [10264]~P1(f836(f29(x102641),x102645))+~P1(f836(f29(x102642),x102643))+P1(f836(f836(f318(x102642),f493(x102646,x102644,x102643,x102642,x102645,x102641)),x102643))+E(f836(f836(f6(x102641,a899),f836(f836(f8(f906(x102642,a895),a899,x102641),f30(x102642)),f836(f836(f8(f906(x102642,a895),f906(x102642,a895),x102641),f252(x102642)),f836(f836(f8(f906(x102642,a895),f906(x102642,a895),x102641),f836(f18(x102642,a895,a895),f836(f836(f8(a895,f906(a895,a895),x102642),a315),f836(f836(f7(x102642,f906(x102642,a895),a895),f318(x102642)),x102643)))),x102644)))),x102645),f836(f836(f75(a899),x102646),f836(f30(x102642),x102643)))
% 190.77/190.68 [10265]~P1(f836(f29(x102651),x102655))+~P1(f836(f29(x102652),x102653))+P1(f836(f836(f318(x102652),f494(x102656,x102654,x102653,x102652,x102655,x102651)),x102653))+E(f836(f836(f6(x102651,a899),f836(f836(f8(f906(x102652,a895),a899,x102651),f30(x102652)),f836(f836(f8(f906(x102652,a895),f906(x102652,a895),x102651),f252(x102652)),f836(f836(f8(f906(x102652,a895),f906(x102652,a895),x102651),f836(f18(x102652,a895,a895),f836(f836(f8(a895,f906(a895,a895),x102652),a315),f836(f836(f7(x102652,f906(x102652,a895),a895),f318(x102652)),x102653)))),x102654)))),x102655),f836(f836(f6(x102652,a899),x102656),x102653))
% 190.77/190.68 [10312]~P1(f836(f29(x103122),x103123))+~P1(f836(f29(x103121),x103125))+~E(f836(f30(x103121),f836(f252(x103121),f836(f836(f18(x103121,a895,a895),f836(f836(f8(a895,f906(a895,a895),x103121),a315),f836(f836(f7(x103121,f906(x103121,a895),a895),f318(x103121)),x103125))),f836(f836(f7(x103121,x103122,a895),x103124),f493(x103126,x103124,x103123,x103122,x103125,x103121))))),x103126)+E(f836(f836(f6(x103121,a899),f836(f836(f8(f906(x103122,a895),a899,x103121),f30(x103122)),f836(f836(f8(f906(x103122,a895),f906(x103122,a895),x103121),f252(x103122)),f836(f836(f8(f906(x103122,a895),f906(x103122,a895),x103121),f836(f18(x103122,a895,a895),f836(f836(f8(a895,f906(a895,a895),x103122),a315),f836(f836(f7(x103122,f906(x103122,a895),a895),f318(x103122)),x103123)))),x103124)))),x103125),f836(f836(f75(a899),x103126),f836(f30(x103122),x103123)))
% 190.77/190.68 [10314]~P1(f836(f29(x103142),x103143))+~P1(f836(f29(x103141),x103145))+~E(f836(f30(x103141),f836(f252(x103141),f836(f836(f18(x103141,a895,a895),f836(f836(f8(a895,f906(a895,a895),x103141),a315),f836(f836(f7(x103141,f906(x103141,a895),a895),f318(x103141)),x103145))),f836(f836(f7(x103141,x103142,a895),x103144),f494(x103146,x103144,x103143,x103142,x103145,x103141))))),f836(x103146,f494(x103146,x103144,x103143,x103142,x103145,x103141)))+E(f836(f836(f6(x103141,a899),f836(f836(f8(f906(x103142,a895),a899,x103141),f30(x103142)),f836(f836(f8(f906(x103142,a895),f906(x103142,a895),x103141),f252(x103142)),f836(f836(f8(f906(x103142,a895),f906(x103142,a895),x103141),f836(f18(x103142,a895,a895),f836(f836(f8(a895,f906(a895,a895),x103142),a315),f836(f836(f7(x103142,f906(x103142,a895),a895),f318(x103142)),x103143)))),x103144)))),x103145),f836(f836(f6(x103142,a899),x103146),x103143))
% 190.77/190.68 [9936]E(x99361,x99362)+~P16(x99363,x99364,x99365)+~P1(f836(f61(x99363,x99364,x99365,x99366,x99367),x99362))+~P1(f836(f61(x99363,x99364,x99365,x99366,x99367),x99361))
% 190.77/190.68 [9736]P1(f836(x97361,x97362))+~P1(f836(f836(f318(x97367),x97362),f836(x97366,x97364)))+~P1(f836(x97361,f426(x97361,x97366,x97365,x97363,x97367)))+~P1(f836(f836(f318(x97363),x97364),x97365))
% 190.77/190.68 [10175]~P16(x101757,x101756,x101751)+E(f836(f836(x101751,x101752),f587(x101752,x101753,x101754,x101755,x101751,x101756,x101757)),x101753)+~P1(f836(f61(x101757,x101756,x101751,x101755,x101754),x101753))+~P1(f836(f836(f318(x101757),x101752),x101754))
% 190.77/190.68 [10242]~P16(x102421,x102422,x102423)+~P1(f836(f61(x102421,x102422,x102423,x102424,x102425),x102427))+P1(f836(f61(x102421,x102422,x102423,x102424,f836(f836(f23(f906(x102421,a895)),x102425),f836(f836(f299(x102421),x102426),f178(f906(x102421,a895))))),f587(x102426,x102427,x102425,x102424,x102423,x102422,x102421)))+~P1(f836(f836(f318(x102421),x102426),x102425))
% 190.77/190.68 [9378]P25(x93781,x93782,x93783,x93784,x93785)+~P25(x93781,x93782,x93783,x93786,x93787)+~E(f836(f300(x93781,x93782,x93783),x93784),x93785)+~P1(f836(f836(f224(f906(x93781,a895)),x93784),x93786))
% 190.77/190.68 [9628]~P25(x96281,x96282,x96283,x96285,x96287)+~P25(x96281,x96282,x96283,x96284,x96286)+P25(x96281,x96282,x96283,f836(f836(f91(f906(x96281,a895)),x96284),x96285),f836(f836(f91(f906(x96282,a895)),x96286),x96287))+~E(f836(f836(f92(f906(x96282,a895)),x96286),x96287),f178(f906(x96282,a895)))
% 190.77/190.68 [9633]~P71(x96331)+~P24(x96335,x96332,x96336,x96337)+~P1(f836(f29(x96335),x96337))+E(f836(f836(f836(f60(x96331,x96332,f75(x96331)),x96333),x96334),f836(f300(x96335,x96332,x96336),x96337)),f836(f836(f836(f60(x96331,x96335,f75(x96331)),f836(f67(x96332,x96331,x96335,x96333),x96336)),x96334),x96337))
% 190.77/190.68 [9759]~E(f836(f836(f299(x97591),x97595),x97596),f836(f836(f299(x97591),x97592),x97593))+~P1(f836(f61(x97591,x97591,x97594,x97592,x97593),x97597))+P1(f836(f836(f318(x97591),x97592),x97593))+P1(f836(f57(x97591,x97594,f836(f836(f299(x97591),x97595),x97596)),x97597))
% 190.77/190.68 [9843]P1(f836(x98431,x98432))+~P1(f836(f836(f318(x98433),x98432),f836(x98434,x98437)))+~P1(f836(f836(f318(x98436),x98437),x98435))+P1(f836(f836(f318(x98433),f426(x98431,x98434,x98435,x98436,x98433)),f836(f836(f35(x98436,f906(x98433,a895)),x98435),x98434)))
% 190.77/190.68 [9860]~P24(x98602,x98601,x98605,x98604)+~P24(x98601,x98603,x98606,f836(f300(x98602,x98601,x98605),x98604))+E(f836(f836(f67(x98601,x98602,x98603,f71(x98602,x98601,x98604,x98605)),f71(x98601,x98603,f836(f300(x98602,x98601,x98605),x98604),x98606)),x98607),f836(f71(x98602,x98603,x98604,f836(f67(x98601,x98603,x98602,x98606),x98605)),x98607))+~P1(f836(f836(f318(x98603),x98607),f836(f300(x98601,x98603,x98606),f836(f300(x98602,x98601,x98605),x98604))))
% 190.77/190.68 [9861]~P24(x98612,x98611,x98615,x98614)+~P24(x98611,x98613,x98616,f836(f300(x98612,x98611,x98615),x98614))+E(f836(f836(f67(x98611,x98612,x98613,f85(x98612,x98611,x98614,x98615)),f85(x98611,x98613,f836(f300(x98612,x98611,x98615),x98614),x98616)),x98617),f836(f85(x98612,x98613,x98614,f836(f67(x98611,x98613,x98612,x98616),x98615)),x98617))+~P1(f836(f836(f318(x98613),x98617),f836(f300(x98611,x98613,x98616),f836(f300(x98612,x98611,x98615),x98614))))
% 190.77/190.68 [10176]~P16(x101767,x101766,x101761)+E(f836(f836(x101761,x101762),f606(x101763,x101764,x101762,x101765,x101761,x101766,x101767)),x101763)+P1(f836(f836(f318(x101767),x101762),x101764))+~P1(f836(f61(x101767,x101766,x101761,x101765,f836(f836(f299(x101767),x101762),x101764)),x101763))
% 190.77/190.68 [10241]~P16(x102411,x102414,x102415)+P1(f836(f61(x102411,x102414,x102415,x102416,x102413),f606(x102417,x102413,x102412,x102416,x102415,x102414,x102411)))+P1(f836(f836(f318(x102411),x102412),x102413))+~P1(f836(f61(x102411,x102414,x102415,x102416,f836(f836(f299(x102411),x102412),x102413)),x102417))
% 190.77/190.68 [9918]E(x99181,f2(a1))+~P1(f836(f45(x99183,x99181),f836(f836(f242(a1,a1),x99185),x99187)))+~P1(f836(f45(x99182,x99181),f836(f836(f242(a1,a1),x99184),x99186)))+P1(f836(f45(f836(f836(f74(a1),x99182),x99183),x99181),f836(f836(f242(a1,a1),f836(f836(f74(a1),f836(f836(f74(a1),x99184),x99185)),f836(f836(f31(a1),f836(f836(f74(a1),x99186),x99187)),x99181))),f41(a1,f836(f836(f74(a1),x99186),x99187),x99181))))
% 190.77/190.68 [9920]~P1(f836(f836(f225(a899),f2(a899)),x99203))+~P1(f836(f44(x99202,x99203),f836(f836(f242(a899,a899),x99205),x99207)))+~P1(f836(f44(x99201,x99203),f836(f836(f242(a899,a899),x99204),x99206)))+P1(f836(f44(f836(f836(f74(a899),x99201),x99202),x99203),f836(f836(f242(a899,a899),f836(f836(f74(a899),f836(f836(f74(a899),x99204),x99205)),f836(f836(f31(a899),f836(f836(f74(a899),x99206),x99207)),x99203))),f41(a899,f836(f836(f74(a899),x99206),x99207),x99203))))
% 190.77/190.68 [10311]~P73(x103112)+~P1(f836(f29(x103113),x103115))+~P1(f836(f29(x103111),x103117))+E(f836(f836(f6(x103111,x103112),f836(f836(f18(x103111,f906(x103113,a895),x103112),f836(f836(f8(f906(x103113,x103112),f906(f906(x103113,a895),x103112),x103111),f6(x103113,x103112)),x103114)),f836(f836(f8(f906(x103113,a895),f906(x103113,a895),x103111),f252(x103113)),f836(f836(f8(f906(x103113,a895),f906(x103113,a895),x103111),f836(f18(x103113,a895,a895),f836(f836(f8(a895,f906(a895,a895),x103113),a315),f836(f836(f7(x103113,f906(x103113,a895),a895),f318(x103113)),x103115)))),x103116)))),x103117),f836(f836(f6(x103113,x103112),f836(f836(f18(x103113,f906(x103111,a895),x103112),f836(f836(f8(f906(x103111,x103112),f906(f906(x103111,a895),x103112),x103113),f6(x103111,x103112)),f836(f7(x103111,x103113,x103112),x103114))),f836(f836(f8(f906(x103111,a895),f906(x103111,a895),x103113),f252(x103111)),f836(f836(f8(f906(x103111,a895),f906(x103111,a895),x103113),f836(f18(x103111,a895,a895),f836(f836(f8(a895,f906(a895,a895),x103111),a315),f836(f836(f7(x103111,f906(x103111,a895),a895),f318(x103111)),x103117)))),f836(f7(x103111,x103113,a895),x103116))))),x103115))
% 190.77/190.68 [10262]~P21(x102628,x102627,x102626,x102625,x102621)+~E(f836(x102622,f832(x102624,x102622,x102623,x102621,x102625,x102626,x102627)),f836(x102624,f832(x102624,x102622,x102623,x102621,x102625,x102626,x102627)))+E(f836(f836(x102621,x102622),x102623),f836(f836(x102621,x102624),x102623))+~P1(f836(f29(x102627),x102623))
% 190.77/190.68 [9795]~P22(x97957,x97956,x97951,x97958,x97952,x97954)+E(f836(f836(x97951,f836(x97952,x97953)),f836(x97954,x97955)),f836(x97954,x97955))+~P1(f836(f29(x97956),x97955))+~P1(f836(f836(f318(x97956),x97953),x97955))
% 190.77/190.68 [9799]~P12(x97996,x97991,x97992,x97998,x97993,x97994)+~P8(x97996,x97997,x97998)+P11(x97991,x97992,x97993,f836(x97994,x97995))+~P1(f836(f836(f318(x97996),x97995),x97997))
% 190.77/190.68 [10284]~P21(x102848,x102845,x102847,x102846,x102841)+E(f836(f836(x102841,x102842),x102843),f836(f836(x102841,x102844),x102843))+~P1(f836(f29(x102845),x102843))+P1(f836(f836(f318(x102845),f832(x102842,x102844,x102843,x102841,x102846,x102847,x102845)),x102843))
% 190.77/190.68 [10361]~P1(f836(f836(x103611,x103616),x103615))+P1(f836(f836(x103611,f825(x103611,x103614,x103615,x103616,x103613,x103612,x103617,x103618)),f828(x103611,x103614,x103615,x103616,x103613,x103612,x103617,x103618)))+P1(f836(f836(x103611,x103612),x103613))+~P1(f836(f836(f318(f905(f905(x103618,x103617),f905(x103618,x103617))),f836(f836(f242(f905(x103618,x103617),f905(x103618,x103617)),f836(f836(f242(x103618,x103617),x103612),x103613)),f836(f836(f242(x103618,x103617),x103616),x103615))),f297(f905(x103618,x103617),x103614)))
% 190.77/190.68 [10362]~P1(f836(f836(x103621,x103626),x103625))+P1(f836(f836(x103621,f814(x103621,x103624,x103623,x103622,x103625,x103626,x103627,x103628)),f817(x103621,x103624,x103623,x103622,x103625,x103626,x103627,x103628)))+P1(f836(f836(x103621,x103622),x103623))+~P1(f836(f836(f318(f905(f905(x103628,x103627),f905(x103628,x103627))),f836(f836(f242(f905(x103628,x103627),f905(x103628,x103627)),f836(f836(f242(x103628,x103627),x103626),x103625)),f836(f836(f242(x103628,x103627),x103622),x103623))),f297(f905(x103628,x103627),x103624)))
% 190.77/190.68 [10372]~P1(f836(f836(x103721,f826(x103721,x103726,x103725,x103724,x103723,x103722,x103727,x103728)),f827(x103721,x103726,x103725,x103724,x103723,x103722,x103727,x103728)))+P1(f836(f836(x103721,x103722),x103723))+~P1(f836(f836(x103721,x103724),x103725))+~P1(f836(f836(f318(f905(f905(x103728,x103727),f905(x103728,x103727))),f836(f836(f242(f905(x103728,x103727),f905(x103728,x103727)),f836(f836(f242(x103728,x103727),x103722),x103723)),f836(f836(f242(x103728,x103727),x103724),x103725))),f297(f905(x103728,x103727),x103726)))
% 190.77/190.68 [10373]~P1(f836(f836(x103731,f818(x103731,x103736,x103733,x103732,x103735,x103734,x103737,x103738)),f819(x103731,x103736,x103733,x103732,x103735,x103734,x103737,x103738)))+P1(f836(f836(x103731,x103732),x103733))+~P1(f836(f836(x103731,x103734),x103735))+~P1(f836(f836(f318(f905(f905(x103738,x103737),f905(x103738,x103737))),f836(f836(f242(f905(x103738,x103737),f905(x103738,x103737)),f836(f836(f242(x103738,x103737),x103734),x103735)),f836(f836(f242(x103738,x103737),x103732),x103733))),f297(f905(x103738,x103737),x103736)))
% 190.77/190.68 [10386]~P1(f836(f836(x103861,x103866),x103867))+P1(f836(f836(x103861,x103862),x103863))+P1(f836(f836(f318(f905(f905(x103864,x103865),f905(x103864,x103865))),f836(f836(f242(f905(x103864,x103865),f905(x103864,x103865)),f836(f836(f242(x103864,x103865),x103866),x103867)),f836(f836(f242(x103864,x103865),f814(x103861,x103868,x103863,x103862,x103867,x103866,x103865,x103864)),f817(x103861,x103868,x103863,x103862,x103867,x103866,x103865,x103864)))),f297(f905(x103864,x103865),x103868)))+~P1(f836(f836(f318(f905(f905(x103864,x103865),f905(x103864,x103865))),f836(f836(f242(f905(x103864,x103865),f905(x103864,x103865)),f836(f836(f242(x103864,x103865),x103866),x103867)),f836(f836(f242(x103864,x103865),x103862),x103863))),f297(f905(x103864,x103865),x103868)))
% 190.77/190.68 [10388]~P1(f836(f836(x103881,x103888),x103887))+P1(f836(f836(x103881,x103882),x103883))+P1(f836(f836(f318(f905(f905(x103884,x103885),f905(x103884,x103885))),f836(f836(f242(f905(x103884,x103885),f905(x103884,x103885)),f836(f836(f242(x103884,x103885),f825(x103881,x103886,x103887,x103888,x103883,x103882,x103885,x103884)),f828(x103881,x103886,x103887,x103888,x103883,x103882,x103885,x103884))),f836(f836(f242(x103884,x103885),x103888),x103887))),f297(f905(x103884,x103885),x103886)))+~P1(f836(f836(f318(f905(f905(x103884,x103885),f905(x103884,x103885))),f836(f836(f242(f905(x103884,x103885),f905(x103884,x103885)),f836(f836(f242(x103884,x103885),x103882),x103883)),f836(f836(f242(x103884,x103885),x103888),x103887))),f297(f905(x103884,x103885),x103886)))
% 190.77/190.68 [9405]~P19(x94057,x94051,x94058,x94053)+~P1(f836(f29(x94057),x94055))+~P1(f836(f29(x94057),x94054))+E(f836(f67(x94051,x94051,x94052,f836(x94053,x94054)),f836(f67(x94051,x94051,x94052,f836(x94053,x94055)),x94056)),f836(f67(x94051,x94051,x94052,f836(x94053,x94055)),f836(f67(x94051,x94051,x94052,f836(x94053,x94054)),x94056)))
% 190.77/190.68 [9414]~P33(x94141,x94142,x94143,x94144,x94147)+P33(x94141,x94142,x94143,f836(f836(f149(x94141,x94144),x94145),x94146),f836(f836(f149(x94142,x94147),x94145),x94148))+~P1(f836(f836(x94143,x94146),x94148))+~P1(f836(f836(f225(a899),x94145),f836(f179(f900(x94141)),x94144)))
% 190.77/190.68 [9415]~P33(x94151,x94152,x94153,x94154,x94157)+P33(x94151,x94152,x94153,f836(f836(f149(x94151,x94154),x94155),x94156),f836(f836(f149(x94152,x94157),x94155),x94158))+~P1(f836(f836(x94153,x94156),x94158))+~P1(f836(f836(f225(a899),x94155),f836(f179(f900(x94152)),x94157)))
% 190.77/190.68 [9494]~P24(x94942,x94942,x94945,x94946)+~P21(x94943,x94942,x94947,x94948,x94941)+~P1(f836(f29(x94942),x94946))+E(f836(f836(x94941,f836(f67(x94942,x94943,x94942,x94944),x94945)),x94946),f836(f836(x94941,x94944),f836(f300(x94942,x94942,x94945),x94946)))
% 190.77/190.68 [9760]P25(x97601,x97602,x97603,x97604,x97605)+~P25(x97602,x97606,x97607,x97605,x97608)+~P25(x97601,x97606,f836(f67(x97602,x97606,x97601,x97607),x97603),x97604,x97608)+~P1(f836(f836(f224(f906(x97602,a895)),f836(f300(x97601,x97602,x97603),x97604)),x97605))
% 190.77/190.68 [9797]~P23(x97977,x97972,x97975,x97978,x97976,x97971)+~P1(f836(f29(x97972),x97974))+E(f836(x97971,f836(f836(f299(x97972),x97973),x97974)),f836(f836(x97975,f836(x97976,x97973)),f836(x97971,x97974)))+P1(f836(f836(f318(x97972),x97973),x97974))
% 190.77/190.68 [9808]~P22(x98086,x98085,x98081,x98087,x98088,x98082)+E(f836(f836(x98081,f836(x98082,x98083)),f836(x98082,x98084)),f836(x98082,x98084))+~P1(f836(f29(x98085),x98084))+~P1(f836(f836(f224(f906(x98085,a895)),x98083),x98084))
% 190.77/190.68 [9392]P1(f836(f836(f318(f905(f900(x93921),f900(x93921))),f836(f836(f242(f900(x93921),f900(x93921)),x93922),x93923)),f147(x93921,x93924)))+~E(x93923,f836(f836(f124(x93921),x93925),f836(f836(f141(x93921),x93926),x93927)))+~E(x93922,f836(f836(f124(x93921),x93925),f836(f836(f141(x93921),x93928),x93927)))+~P1(f836(f836(f318(f905(x93921,x93921)),f836(f836(f242(x93921,x93921),x93928),x93926)),x93924))
% 190.77/190.68 [9802]~P22(x98026,x98022,x98025,x98027,x98028,x98021)+~P1(f836(f29(x98022),x98024))+~P1(f836(f29(x98022),x98023))+E(f836(x98021,f836(f836(f91(f906(x98022,a895)),x98023),x98024)),f836(f836(x98025,f836(x98021,x98023)),f836(x98021,x98024)))
% 190.77/190.68 [10351]~P24(x103514,x103512,x103515,x103518)+E(f836(f836(f36(x103511,f906(x103512,a895)),x103513),f836(f836(f8(f906(x103514,a895),f906(x103512,a895),x103511),f300(x103514,x103512,x103515)),x103516)),f836(f300(x103514,x103512,x103515),f836(f836(f36(x103511,f906(x103514,a895)),x103513),x103516)))+~P1(f836(f836(f318(x103511),x103517),x103513))+P1(f836(f836(f318(x103511),f596(x103517,x103516,x103513,x103511,x103518,x103515,x103512,x103514)),x103513))
% 190.77/190.68 [10377]~P24(x103774,x103772,x103775,x103777)+E(f836(f836(f36(x103771,f906(x103772,a895)),x103773),f836(f836(f8(f906(x103774,a895),f906(x103772,a895),x103771),f300(x103774,x103772,x103775)),x103776)),f836(f300(x103774,x103772,x103775),f836(f836(f36(x103771,f906(x103774,a895)),x103773),x103776)))+~P1(f836(f836(f318(x103771),x103778),x103773))+~P1(f836(f836(f224(f906(x103774,a895)),f836(x103776,f596(x103778,x103776,x103773,x103771,x103777,x103775,x103772,x103774))),x103777))
% 190.77/190.68 [10389]~P1(f836(f836(x103891,x103898),x103897))+P1(f836(f836(x103891,x103892),x103893))+~P1(f836(f836(f318(f905(f905(x103894,x103895),f905(x103894,x103895))),f836(f836(f242(f905(x103894,x103895),f905(x103894,x103895)),f836(f836(f242(x103894,x103895),x103892),x103893)),f836(f836(f242(x103894,x103895),x103898),x103897))),f297(f905(x103894,x103895),x103896)))+P1(f836(f836(f318(f905(f905(x103894,x103895),f905(x103894,x103895))),f836(f836(f242(f905(x103894,x103895),f905(x103894,x103895)),f836(f836(f242(x103894,x103895),f826(x103891,x103896,x103897,x103898,x103893,x103892,x103895,x103894)),f827(x103891,x103896,x103897,x103898,x103893,x103892,x103895,x103894))),f836(f836(f242(x103894,x103895),f825(x103891,x103896,x103897,x103898,x103893,x103892,x103895,x103894)),f828(x103891,x103896,x103897,x103898,x103893,x103892,x103895,x103894)))),x103896))
% 190.77/190.68 [10390]~P1(f836(f836(x103901,x103908),x103907))+P1(f836(f836(x103901,x103902),x103903))+~P1(f836(f836(f318(f905(f905(x103904,x103905),f905(x103904,x103905))),f836(f836(f242(f905(x103904,x103905),f905(x103904,x103905)),f836(f836(f242(x103904,x103905),x103908),x103907)),f836(f836(f242(x103904,x103905),x103902),x103903))),f297(f905(x103904,x103905),x103906)))+P1(f836(f836(f318(f905(f905(x103904,x103905),f905(x103904,x103905))),f836(f836(f242(f905(x103904,x103905),f905(x103904,x103905)),f836(f836(f242(x103904,x103905),f814(x103901,x103906,x103903,x103902,x103907,x103908,x103905,x103904)),f817(x103901,x103906,x103903,x103902,x103907,x103908,x103905,x103904))),f836(f836(f242(x103904,x103905),f818(x103901,x103906,x103903,x103902,x103907,x103908,x103905,x103904)),f819(x103901,x103906,x103903,x103902,x103907,x103908,x103905,x103904)))),x103906))
% 190.77/190.68 [9870]~P23(x98707,x98705,x98701,x98708,x98702,x98704)+~P1(f836(f29(x98705),x98706))+~P1(f836(f836(f318(x98705),x98703),x98706))+E(f836(f836(x98701,f836(x98702,x98703)),f836(x98704,f836(f836(f23(f906(x98705,a895)),x98706),f836(f836(f299(x98705),x98703),f178(f906(x98705,a895)))))),f836(x98704,x98706))
% 190.77/190.68 [9878]~P23(x98786,x98783,x98781,x98787,x98788,x98782)+~P1(f836(f29(x98783),x98785))+~P1(f836(f29(x98783),x98784))+E(f836(f836(x98781,f836(x98782,f836(f836(f91(f906(x98783,a895)),x98784),x98785))),f836(x98782,f836(f836(f92(f906(x98783,a895)),x98784),x98785))),f836(f836(x98781,f836(x98782,x98784)),f836(x98782,x98785)))
% 190.77/190.68 [9960]P41(x99601,x99602,x99603,x99604,x99605,f836(f836(x99603,x99606),x99607))+~P41(x99601,x99602,x99603,x99604,f836(f836(f23(f906(x99601,a895)),x99605),f836(f836(f299(x99601),x99608),f178(f906(x99601,a895)))),x99609)+~E(f836(f836(x99603,x99606),x99607),f836(f836(x99603,x99608),x99609))+~P1(f836(f836(f318(x99601),x99608),x99605))
% 190.77/190.68 [9902]~P12(x99026,x99027,x99028,x99029,x990210,x99021)+E(f836(f836(x99021,x99022),x99023),f836(f836(x99021,x99024),x99025))+~P1(f836(f836(f318(f905(x99027,x99027)),f836(f836(f242(x99027,x99027),x99023),x99025)),x990210))+~P1(f836(f836(f318(f905(x99026,x99026)),f836(f836(f242(x99026,x99026),x99022),x99024)),x99029))
% 190.77/190.68 [9498]~P99(x94982)+E(x94981,f178(f906(x94982,a895)))+~P1(f836(f29(x94982),x94981))+P1(f836(f836(f318(x94982),f13(x94982,x94981)),x94981))+~P1(f836(f836(f318(x94982),f836(f836(f91(x94982),f331(x94981,x94982)),f332(x94981,x94982))),f836(f836(f299(x94982),f331(x94981,x94982)),f836(f836(f299(x94982),f332(x94981,x94982)),f178(f906(x94982,a895))))))
% 190.77/190.68 [9499]~P99(x94992)+E(x94991,f178(f906(x94992,a895)))+~P1(f836(f29(x94992),x94991))+P1(f836(f836(f318(x94992),f10(x94992,x94991)),x94991))+~P1(f836(f836(f318(x94992),f836(f836(f92(x94992),f402(x94991,x94992)),f407(x94991,x94992))),f836(f836(f299(x94992),f402(x94991,x94992)),f836(f836(f299(x94992),f407(x94991,x94992)),f178(f906(x94992,a895))))))
% 190.77/190.68 [9530]~P71(x95302)+E(x95301,f178(f906(x95302,a895)))+~P1(f836(f29(x95302),x95301))+P1(f836(f836(f318(x95302),f836(f58(x95302,f75(x95302)),x95301)),x95301))+~P1(f836(f836(f318(x95302),f836(f836(f75(x95302),f641(x95301,x95302)),f658(x95301,x95302))),f836(f836(f299(x95302),f641(x95301,x95302)),f836(f836(f299(x95302),f658(x95301,x95302)),f178(f906(x95302,a895))))))
% 190.77/190.68 [9535]~P108(x95352)+E(x95351,f178(f906(x95352,a895)))+~P1(f836(f29(x95352),x95351))+P1(f836(f836(f318(x95352),f11(x95352,f228(x95352),x95351)),x95351))+~P1(f836(f836(f318(x95352),f836(f836(f228(x95352),f868(x95351,x95352)),f869(x95351,x95352))),f836(f836(f299(x95352),f868(x95351,x95352)),f836(f836(f299(x95352),f869(x95351,x95352)),f178(f906(x95352,a895))))))
% 190.77/190.68 [9536]~P108(x95362)+E(x95361,f178(f906(x95362,a895)))+~P1(f836(f29(x95362),x95361))+P1(f836(f836(f318(x95362),f12(x95362,f223(x95362),x95361)),x95361))+~P1(f836(f836(f318(x95362),f836(f836(f223(x95362),f888(x95361,x95362)),f889(x95361,x95362))),f836(f836(f299(x95362),f888(x95361,x95362)),f836(f836(f299(x95362),f889(x95361,x95362)),f178(f906(x95362,a895))))))
% 190.77/190.68 [6632]~P88(x66322)+E(x66321,f2(x66322))+~E(f836(f836(f74(x66322),x66323),x66321),f2(x66322))+~P1(f836(f836(f224(x66322),f2(x66322)),x66323))+~P1(f836(f836(f224(x66322),f2(x66322)),x66321))
% 190.77/190.68 [6633]~P88(x66332)+E(x66331,f2(x66332))+~E(f836(f836(f74(x66332),x66331),x66333),f2(x66332))+~P1(f836(f836(f224(x66332),f2(x66332)),x66333))+~P1(f836(f836(f224(x66332),f2(x66332)),x66331))
% 190.77/190.68 [7179]~P108(x71792)+~P13(x71792,x71791)+E(x71791,f103(x71792))+~P1(f836(f836(f318(x71792),x71793),f836(f162(x71792),f684(x71791,x71792))))+P1(f836(f836(f224(x71792),f704(x71791,x71792)),x71793))
% 190.77/190.68 [7348]~P108(x73481)+E(f14(x73481,x73482),x73483)+~P1(f836(f29(x73481),x73482))+~P1(f836(f836(f224(x73481),x73483),f543(x73483,x73482,x73481)))+~P1(f836(f836(f318(x73481),x73483),x73482))
% 190.77/190.68 [7381]~P108(x73811)+~P13(x73811,x73812)+~P13(x73811,x73813)+P13(x73811,f836(f836(f124(x73811),x73812),x73813))+P1(f836(f836(f318(x73811),f690(x73813,x73812,x73811)),f836(f162(x73811),x73812)))
% 190.77/190.68 [7382]~P108(x73821)+~P13(x73821,x73822)+~P13(x73821,x73823)+P13(x73821,f836(f836(f124(x73821),x73822),x73823))+P1(f836(f836(f318(x73821),f691(x73823,x73822,x73821)),f836(f162(x73821),x73823)))
% 190.77/190.68 [7445]~P108(x74451)+E(f14(x74451,x74452),x74453)+~P1(f836(f29(x74451),x74452))+P1(f836(f836(f318(x74451),f543(x74453,x74452,x74451)),x74452))+~P1(f836(f836(f318(x74451),x74453),x74452))
% 190.77/190.68 [7446]~P108(x74461)+E(f15(x74461,x74462),x74463)+~P1(f836(f29(x74461),x74462))+P1(f836(f836(f318(x74461),f544(x74463,x74462,x74461)),x74462))+~P1(f836(f836(f318(x74461),x74463),x74462))
% 190.77/190.68 [8019]~P108(x80191)+E(f15(x80191,x80192),x80193)+~P1(f836(f29(x80191),x80192))+~P1(f836(f836(f318(x80191),x80193),x80192))+~P1(f836(f836(f224(x80191),f544(x80193,x80192,x80191)),x80193))
% 190.77/190.68 [8337]~P108(x83371)+~P13(x83371,x83372)+~P13(x83371,x83373)+P13(x83371,f836(f836(f124(x83371),x83372),x83373))+~P1(f836(f836(f224(x83371),f690(x83373,x83372,x83371)),f691(x83373,x83372,x83371)))
% 190.77/190.68 [9130]~P108(x91302)+E(x91301,f178(f906(x91302,a895)))+~E(f836(f836(f228(x91302),f836(x91303,f330(x91301,x91303,x91302))),f836(x91303,f333(x91301,x91303,x91302))),f836(x91303,f836(f836(f228(x91302),f330(x91301,x91303,x91302)),f333(x91301,x91303,x91302))))+E(f14(x91302,f836(f300(x91302,x91302,x91303),x91301)),f836(x91303,f14(x91302,x91301)))+~P1(f836(f29(x91302),x91301))
% 190.77/190.68 [9131]~P108(x91312)+E(x91311,f178(f906(x91312,a895)))+~E(f836(f836(f223(x91312),f836(x91313,f328(x91311,x91313,x91312))),f836(x91313,f329(x91311,x91313,x91312))),f836(x91313,f836(f836(f223(x91312),f328(x91311,x91313,x91312)),f329(x91311,x91313,x91312))))+E(f15(x91312,f836(f300(x91312,x91312,x91313),x91311)),f836(x91313,f15(x91312,x91311)))+~P1(f836(f29(x91312),x91311))
% 190.77/190.68 [9132]~P99(x91322)+E(x91321,f178(f906(x91322,a895)))+~E(f836(f836(f91(x91322),f836(x91323,f335(x91321,x91323,x91322))),f836(x91323,f336(x91321,x91323,x91322))),f836(x91323,f836(f836(f91(x91322),f335(x91321,x91323,x91322)),f336(x91321,x91323,x91322))))+E(f13(x91322,f836(f300(x91322,x91322,x91323),x91321)),f836(x91323,f13(x91322,x91321)))+~P1(f836(f29(x91322),x91321))
% 190.77/190.68 [9133]~P99(x91332)+E(x91331,f178(f906(x91332,a895)))+~E(f836(f836(f92(x91332),f836(x91333,f401(x91331,x91333,x91332))),f836(x91333,f411(x91331,x91333,x91332))),f836(x91333,f836(f836(f92(x91332),f401(x91331,x91333,x91332)),f411(x91331,x91333,x91332))))+E(f10(x91332,f836(f300(x91332,x91332,x91333),x91331)),f836(x91333,f10(x91332,x91331)))+~P1(f836(f29(x91332),x91331))
% 190.77/190.68 [9201]~P108(x92012)+E(x92011,f178(f906(x92012,a895)))+~E(f836(f836(f228(x92012),f836(x92013,f885(x92011,x92013,x92012))),f836(x92013,f892(x92011,x92013,x92012))),f836(x92013,f836(f836(f228(x92012),f885(x92011,x92013,x92012)),f892(x92011,x92013,x92012))))+E(f11(x92012,f228(x92012),f836(f300(x92012,x92012,x92013),x92011)),f836(x92013,f11(x92012,f228(x92012),x92011)))+~P1(f836(f29(x92012),x92011))
% 190.77/190.68 [9202]~P108(x92022)+E(x92021,f178(f906(x92022,a895)))+~E(f836(f836(f223(x92022),f836(x92023,f886(x92021,x92023,x92022))),f836(x92023,f891(x92021,x92023,x92022))),f836(x92023,f836(f836(f223(x92022),f886(x92021,x92023,x92022)),f891(x92021,x92023,x92022))))+E(f12(x92022,f223(x92022),f836(f300(x92022,x92022,x92023),x92021)),f836(x92023,f12(x92022,f223(x92022),x92021)))+~P1(f836(f29(x92022),x92021))
% 190.77/190.68 [6649]~P71(x66492)+E(x66491,f178(f906(x66492,a895)))+~P1(f836(f29(x66492),x66491))+E(f836(f58(x66492,f75(x66492)),f836(f836(f299(x66492),x66493),x66491)),f836(f836(f75(x66492),x66493),f836(f58(x66492,f75(x66492)),x66491)))+P1(f836(f836(f318(x66492),x66493),x66491))
% 190.77/190.68 [7185]~P108(x71852)+E(f836(f836(f228(x71852),f14(x71852,x71851)),f14(x71852,x71853)),f14(x71852,x71853))+E(x71851,f178(f906(x71852,a895)))+~P1(f836(f29(x71852),x71853))+~P1(f836(f836(f224(f906(x71852,a895)),x71851),x71853))
% 190.77/190.68 [7186]~P108(x71862)+E(f836(f836(f223(x71862),f15(x71862,x71861)),f15(x71862,x71863)),f15(x71862,x71863))+E(x71861,f178(f906(x71862,a895)))+~P1(f836(f29(x71862),x71863))+~P1(f836(f836(f224(f906(x71862,a895)),x71861),x71863))
% 190.77/190.68 [7187]~P99(x71872)+E(f836(f836(f91(x71872),f13(x71872,x71871)),f13(x71872,x71873)),f13(x71872,x71873))+E(x71871,f178(f906(x71872,a895)))+~P1(f836(f29(x71872),x71873))+~P1(f836(f836(f224(f906(x71872,a895)),x71871),x71873))
% 190.77/190.68 [7188]~P99(x71882)+E(f836(f836(f92(x71882),f10(x71882,x71881)),f10(x71882,x71883)),f10(x71882,x71883))+E(x71881,f178(f906(x71882,a895)))+~P1(f836(f29(x71882),x71883))+~P1(f836(f836(f224(f906(x71882,a895)),x71881),x71883))
% 190.77/190.68 [7493]~P108(x74932)+E(x74931,f178(f906(x74932,a895)))+~P1(f836(f29(x74932),x74933))+P1(f836(f836(f224(x74932),f14(x74932,x74933)),f14(x74932,x74931)))+~P1(f836(f836(f224(f906(x74932,a895)),x74931),x74933))
% 190.77/190.68 [7494]~P108(x74942)+E(x74941,f178(f906(x74942,a895)))+~P1(f836(f29(x74942),x74943))+P1(f836(f836(f224(x74942),f15(x74942,x74941)),f15(x74942,x74943)))+~P1(f836(f836(f224(f906(x74942,a895)),x74941),x74943))
% 190.77/190.68 [7548]~P108(x75481)+E(f14(x75481,x75482),x75483)+~P1(f836(f29(x75481),x75482))+~E(f836(f836(f23(f906(x75481,a895)),x75482),f836(f836(f299(x75481),x75483),f178(f906(x75481,a895)))),f178(f906(x75481,a895)))+~P1(f836(f836(f318(x75481),x75483),x75482))
% 190.77/190.68 [7549]~P108(x75491)+E(f15(x75491,x75492),x75493)+~P1(f836(f29(x75491),x75492))+~E(f836(f836(f23(f906(x75491,a895)),x75492),f836(f836(f299(x75491),x75493),f178(f906(x75491,a895)))),f178(f906(x75491,a895)))+~P1(f836(f836(f318(x75491),x75493),x75492))
% 190.77/190.68 [7550]~P99(x75501)+E(f13(x75501,x75502),x75503)+~P1(f836(f29(x75501),x75502))+~E(f836(f836(f23(f906(x75501,a895)),x75502),f836(f836(f299(x75501),x75503),f178(f906(x75501,a895)))),f178(f906(x75501,a895)))+~P1(f836(f836(f318(x75501),x75503),x75502))
% 190.77/190.68 [7551]~P99(x75511)+E(f10(x75511,x75512),x75513)+~P1(f836(f29(x75511),x75512))+~E(f836(f836(f23(f906(x75511,a895)),x75512),f836(f836(f299(x75511),x75513),f178(f906(x75511,a895)))),f178(f906(x75511,a895)))+~P1(f836(f836(f318(x75511),x75513),x75512))
% 190.77/190.68 [7647]~P108(x76471)+E(f11(x76471,f228(x76471),x76472),x76473)+~P1(f836(f29(x76471),x76472))+~E(f836(f836(f23(f906(x76471,a895)),x76472),f836(f836(f299(x76471),x76473),f178(f906(x76471,a895)))),f178(f906(x76471,a895)))+~P1(f836(f836(f318(x76471),x76473),x76472))
% 190.77/190.68 [7648]~P108(x76481)+E(f12(x76481,f223(x76481),x76482),x76483)+~P1(f836(f29(x76481),x76482))+~E(f836(f836(f23(f906(x76481,a895)),x76482),f836(f836(f299(x76481),x76483),f178(f906(x76481,a895)))),f178(f906(x76481,a895)))+~P1(f836(f836(f318(x76481),x76483),x76482))
% 190.77/190.68 [7683]~P108(x76832)+E(x76831,f178(f906(x76832,a895)))+~P1(f836(f29(x76832),x76831))+~P1(f836(f836(f224(x76832),x76833),f849(x76833,x76831,x76832)))+P1(f836(f836(f224(x76832),x76833),f836(f58(x76832,f228(x76832)),x76831)))
% 190.77/190.68 [7684]~P104(x76842)+E(x76841,f178(f906(x76842,a895)))+~P1(f836(f29(x76842),x76841))+~P1(f836(f836(f224(x76842),x76843),f342(x76843,x76841,x76842)))+P1(f836(f836(f224(x76842),x76843),f836(f58(x76842,f92(x76842)),x76841)))
% 190.77/190.68 [7685]~P108(x76852)+E(x76851,f178(f906(x76852,a895)))+~P1(f836(f29(x76852),x76851))+~P1(f836(f836(f225(x76852),x76853),f809(x76853,x76851,x76852)))+P1(f836(f836(f225(x76852),x76853),f836(f58(x76852,f228(x76852)),x76851)))
% 190.77/190.68 [7772]~P108(x77722)+E(x77721,f178(f906(x77722,a895)))+~P1(f836(f29(x77722),x77721))+P1(f836(f836(f318(x77722),f809(x77723,x77721,x77722)),x77721))+P1(f836(f836(f225(x77722),x77723),f836(f58(x77722,f228(x77722)),x77721)))
% 190.77/190.68 [7773]~P108(x77732)+E(x77731,f178(f906(x77732,a895)))+~P1(f836(f29(x77732),x77731))+P1(f836(f836(f318(x77732),f849(x77733,x77731,x77732)),x77731))+P1(f836(f836(f224(x77732),x77733),f836(f58(x77732,f228(x77732)),x77731)))
% 190.77/190.68 [7774]~P104(x77742)+E(x77741,f178(f906(x77742,a895)))+~P1(f836(f29(x77742),x77741))+P1(f836(f836(f318(x77742),f342(x77743,x77741,x77742)),x77741))+P1(f836(f836(f224(x77742),x77743),f836(f58(x77742,f92(x77742)),x77741)))
% 190.77/190.68 [7896]~P108(x78962)+E(x78961,f178(f906(x78962,a895)))+E(f836(f836(f228(x78962),f11(x78962,f228(x78962),x78961)),f11(x78962,f228(x78962),x78963)),f11(x78962,f228(x78962),x78963))+~P1(f836(f29(x78962),x78963))+~P1(f836(f836(f224(f906(x78962,a895)),x78961),x78963))
% 190.77/190.68 [7897]~P108(x78972)+E(x78971,f178(f906(x78972,a895)))+E(f836(f836(f223(x78972),f12(x78972,f223(x78972),x78971)),f12(x78972,f223(x78972),x78973)),f12(x78972,f223(x78972),x78973))+~P1(f836(f29(x78972),x78973))+~P1(f836(f836(f224(f906(x78972,a895)),x78971),x78973))
% 190.77/190.68 [8096]~E(f593(x80961,x80963,x80962),f594(x80961,x80963,x80962))+~E(f836(f30(x80962),f595(x80961,x80963,x80962)),x80961)+E(f836(f836(f75(a899),x80961),f836(f30(f906(x80962,a895)),x80963)),f836(f30(x80962),f32(f906(x80962,a895),x80963)))+~P1(f836(f29(x80962),f32(f906(x80962,a895),x80963)))+~P1(f836(f29(f906(x80962,a895)),x80963))
% 190.77/190.68 [8277]~P108(x82772)+E(x82771,f178(f906(x82772,a895)))+~P1(f836(f29(x82772),x82773))+P1(f836(f836(f224(x82772),f836(f58(x82772,f228(x82772)),x82773)),f836(f58(x82772,f228(x82772)),x82771)))+~P1(f836(f836(f224(f906(x82772,a895)),x82771),x82773))
% 190.77/190.68 [8577]~E(f593(x85771,x85773,x85772),f594(x85771,x85773,x85772))+E(f836(f836(f75(a899),x85771),f836(f30(f906(x85772,a895)),x85773)),f836(f30(x85772),f32(f906(x85772,a895),x85773)))+P1(f836(f836(f318(f906(x85772,a895)),f595(x85771,x85773,x85772)),x85773))+~P1(f836(f29(x85772),f32(f906(x85772,a895),x85773)))+~P1(f836(f29(f906(x85772,a895)),x85773))
% 190.77/190.68 [8603]~E(f836(f30(x86032),f595(x86031,x86033,x86032)),x86031)+E(f836(f836(f75(a899),x86031),f836(f30(f906(x86032,a895)),x86033)),f836(f30(x86032),f32(f906(x86032,a895),x86033)))+P1(f836(f836(f318(f906(x86032,a895)),f594(x86031,x86033,x86032)),x86033))+~P1(f836(f29(x86032),f32(f906(x86032,a895),x86033)))+~P1(f836(f29(f906(x86032,a895)),x86033))
% 190.77/190.68 [8604]~E(f836(f30(x86042),f595(x86041,x86043,x86042)),x86041)+E(f836(f836(f75(a899),x86041),f836(f30(f906(x86042,a895)),x86043)),f836(f30(x86042),f32(f906(x86042,a895),x86043)))+P1(f836(f836(f318(f906(x86042,a895)),f593(x86041,x86043,x86042)),x86043))+~P1(f836(f29(x86042),f32(f906(x86042,a895),x86043)))+~P1(f836(f29(f906(x86042,a895)),x86043))
% 190.77/190.68 [8629]~E(f836(f30(x86292),f595(x86291,x86293,x86292)),x86291)+~E(f836(f836(f92(f906(x86292,a895)),f594(x86291,x86293,x86292)),f593(x86291,x86293,x86292)),f178(f906(x86292,a895)))+E(f836(f836(f75(a899),x86291),f836(f30(f906(x86292,a895)),x86293)),f836(f30(x86292),f32(f906(x86292,a895),x86293)))+~P1(f836(f29(f906(x86292,a895)),x86293))+~P1(f836(f29(x86292),f32(f906(x86292,a895),x86293)))
% 190.77/190.68 [8893]E(f836(f836(f75(a899),x88931),f836(f30(f906(x88932,a895)),x88933)),f836(f30(x88932),f32(f906(x88932,a895),x88933)))+P1(f836(f836(f318(f906(x88932,a895)),f595(x88931,x88933,x88932)),x88933))+P1(f836(f836(f318(f906(x88932,a895)),f594(x88931,x88933,x88932)),x88933))+~P1(f836(f29(f906(x88932,a895)),x88933))+~P1(f836(f29(x88932),f32(f906(x88932,a895),x88933)))
% 190.77/190.68 [8894]E(f836(f836(f75(a899),x88941),f836(f30(f906(x88942,a895)),x88943)),f836(f30(x88942),f32(f906(x88942,a895),x88943)))+P1(f836(f836(f318(f906(x88942,a895)),f595(x88941,x88943,x88942)),x88943))+P1(f836(f836(f318(f906(x88942,a895)),f593(x88941,x88943,x88942)),x88943))+~P1(f836(f29(f906(x88942,a895)),x88943))+~P1(f836(f29(x88942),f32(f906(x88942,a895),x88943)))
% 190.77/190.68 [8920]~E(f836(f836(f92(f906(x89202,a895)),f594(x89201,x89203,x89202)),f593(x89201,x89203,x89202)),f178(f906(x89202,a895)))+E(f836(f836(f75(a899),x89201),f836(f30(f906(x89202,a895)),x89203)),f836(f30(x89202),f32(f906(x89202,a895),x89203)))+~P1(f836(f29(f906(x89202,a895)),x89203))+P1(f836(f836(f318(f906(x89202,a895)),f595(x89201,x89203,x89202)),x89203))+~P1(f836(f29(x89202),f32(f906(x89202,a895),x89203)))
% 190.77/190.68 [9176]~P97(x91762)+E(x91761,f178(f906(x91762,a895)))+~E(f836(f836(f75(x91762),f836(x91763,f678(x91761,x91763,x91762))),f836(x91763,f692(x91761,x91763,x91762))),f836(x91763,f836(f836(f75(x91762),f678(x91761,x91763,x91762)),f692(x91761,x91763,x91762))))+~P1(f836(f29(x91762),x91761))+E(f836(f58(x91762,f75(x91762)),f836(f300(x91762,x91762,x91763),x91761)),f836(x91763,f836(f58(x91762,f75(x91762)),x91761)))
% 190.77/190.68 [10118]P1(f836(f836(x101181,x101182),x101183))+P1(f836(f836(f225(a1),f877(x101181,x101183,x101182)),f878(x101181,x101183,x101182)))+P1(f836(f836(f224(a1),f878(x101181,x101183,x101182)),f2(a1)))+P1(f836(f836(x101181,f877(x101181,x101183,x101182)),f836(f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f878(x101181,x101183,x101182))))+~P1(f836(f305(f905(a1,a1),a54),f836(f836(f242(a1,a1),x101182),x101183)))
% 190.77/190.68 [10124]P1(f836(f836(x101241,x101242),x101243))+P1(f836(f836(f224(a1),f876(x101241,x101243,x101242)),f2(a1)))+P1(f836(f836(x101241,f873(x101241,x101243,x101242)),f836(f836(f75(a1),f836(f94(a1),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f876(x101241,x101243,x101242))))+P1(f836(f836(f224(a1),f2(a1)),f836(f836(f74(a1),f873(x101241,x101243,x101242)),f876(x101241,x101243,x101242))))+~P1(f836(f305(f905(a1,a1),a48),f836(f836(f242(a1,a1),x101242),x101243)))
% 190.77/190.68 [8068]~P111(x80681)+~P1(f836(f836(f224(x80681),x80682),f72(x80681)))+~P1(f836(f836(f224(x80681),f2(x80681)),x80682))+~P1(f836(f836(f224(x80681),f2(x80681)),x80683))+P1(f836(f836(f224(x80681),f836(f836(f75(x80681),x80682),x80683)),x80683))
% 190.77/190.68 [8069]~P111(x80691)+~P1(f836(f836(f224(x80691),x80693),f72(x80691)))+~P1(f836(f836(f224(x80691),f2(x80691)),x80693))+~P1(f836(f836(f224(x80691),f2(x80691)),x80692))+P1(f836(f836(f224(x80691),f836(f836(f75(x80691),x80692),x80693)),x80692))
% 190.77/190.68 [8423]~P108(x84232)+E(x84231,f178(f906(x84232,a895)))+~P1(f836(f29(x84232),x84231))+P1(f836(f836(f224(x84232),f844(x84233,x84231,x84232)),x84233))+~P1(f836(f836(f224(x84232),f836(f58(x84232,f228(x84232)),x84231)),x84233))
% 190.77/190.68 [8424]~P108(x84242)+E(x84241,f178(f906(x84242,a895)))+~P1(f836(f29(x84242),x84241))+P1(f836(f836(f318(x84242),f820(x84243,x84241,x84242)),x84241))+~P1(f836(f836(f225(x84242),f836(f58(x84242,f228(x84242)),x84241)),x84243))
% 190.77/190.68 [8425]~P108(x84252)+E(x84251,f178(f906(x84252,a895)))+~P1(f836(f29(x84252),x84251))+P1(f836(f836(f318(x84252),f844(x84253,x84251,x84252)),x84251))+~P1(f836(f836(f224(x84252),f836(f58(x84252,f228(x84252)),x84251)),x84253))
% 190.77/190.68 [8426]~P108(x84262)+E(x84261,f178(f906(x84262,a895)))+~P1(f836(f29(x84262),x84261))+P1(f836(f836(f225(x84262),f820(x84263,x84261,x84262)),x84263))+~P1(f836(f836(f225(x84262),f836(f58(x84262,f228(x84262)),x84261)),x84263))
% 190.77/190.68 [8512]~P1(f836(x85121,x85123))+P1(f836(x85121,f381(x85121,x85122)))+P1(f836(x85121,f378(x85121,x85122)))+~P1(f836(f836(f225(a1),f2(a1)),x85122))+P1(f836(x85121,f836(f836(f23(a1),f378(x85121,x85122)),f836(f836(f75(a1),f382(x85121,x85122)),x85122))))
% 190.77/190.68 [8730]~P1(f836(x87301,x87303))+P1(f836(x87301,f378(x87301,x87302)))+~P1(f836(f836(f225(a1),f2(a1)),x87302))+P1(f836(f836(f318(a1),f381(x87301,x87302)),f293(a1,f72(a1),x87302)))+P1(f836(x87301,f836(f836(f23(a1),f378(x87301,x87302)),f836(f836(f75(a1),f382(x87301,x87302)),x87302))))
% 190.77/190.68 [8942]~P1(f836(x89421,x89423))+~P1(f836(x89421,f378(x89421,x89422)))+P1(f836(x89421,f381(x89421,x89422)))+~P1(f836(f836(f225(a1),f2(a1)),x89422))+~P1(f836(x89421,f836(f836(f23(a1),f378(x89421,x89422)),f836(f836(f75(a1),f382(x89421,x89422)),x89422))))
% 190.77/190.68 [9066]~P1(f836(x90661,x90663))+~P1(f836(x90661,f378(x90661,x90662)))+~P1(f836(f836(f225(a1),f2(a1)),x90662))+P1(f836(f836(f318(a1),f381(x90661,x90662)),f293(a1,f72(a1),x90662)))+~P1(f836(x90661,f836(f836(f23(a1),f378(x90661,x90662)),f836(f836(f75(a1),f382(x90661,x90662)),x90662))))
% 190.77/190.68 [8848]~P108(x88481)+~P1(f836(f29(x88481),x88482))+E(f836(f836(f23(f906(x88481,a895)),x88482),f836(f836(f299(x88481),x88483),f178(f906(x88481,a895)))),f178(f906(x88481,a895)))+~P1(f836(f836(f318(x88481),x88483),x88482))+E(f836(f836(f228(x88481),x88483),f14(x88481,f836(f836(f23(f906(x88481,a895)),x88482),f836(f836(f299(x88481),x88483),f178(f906(x88481,a895)))))),f14(x88481,x88482))
% 190.77/190.68 [8849]~P108(x88491)+~P1(f836(f29(x88491),x88492))+E(f836(f836(f23(f906(x88491,a895)),x88492),f836(f836(f299(x88491),x88493),f178(f906(x88491,a895)))),f178(f906(x88491,a895)))+~P1(f836(f836(f318(x88491),x88493),x88492))+E(f836(f836(f223(x88491),x88493),f15(x88491,f836(f836(f23(f906(x88491,a895)),x88492),f836(f836(f299(x88491),x88493),f178(f906(x88491,a895)))))),f15(x88491,x88492))
% 190.77/190.68 [8850]~P99(x88501)+~P1(f836(f29(x88501),x88502))+E(f836(f836(f23(f906(x88501,a895)),x88502),f836(f836(f299(x88501),x88503),f178(f906(x88501,a895)))),f178(f906(x88501,a895)))+~P1(f836(f836(f318(x88501),x88503),x88502))+E(f836(f836(f91(x88501),x88503),f13(x88501,f836(f836(f23(f906(x88501,a895)),x88502),f836(f836(f299(x88501),x88503),f178(f906(x88501,a895)))))),f13(x88501,x88502))
% 190.77/190.68 [8851]~P99(x88511)+~P1(f836(f29(x88511),x88512))+E(f836(f836(f23(f906(x88511,a895)),x88512),f836(f836(f299(x88511),x88513),f178(f906(x88511,a895)))),f178(f906(x88511,a895)))+~P1(f836(f836(f318(x88511),x88513),x88512))+E(f836(f836(f92(x88511),x88513),f10(x88511,f836(f836(f23(f906(x88511,a895)),x88512),f836(f836(f299(x88511),x88513),f178(f906(x88511,a895)))))),f10(x88511,x88512))
% 190.77/190.68 [8913]~P108(x89131)+~P1(f836(f29(x89131),x89132))+E(f836(f836(f23(f906(x89131,a895)),x89132),f836(f836(f299(x89131),x89133),f178(f906(x89131,a895)))),f178(f906(x89131,a895)))+~P1(f836(f836(f318(x89131),x89133),x89132))+E(f836(f836(f228(x89131),x89133),f11(x89131,f228(x89131),f836(f836(f23(f906(x89131,a895)),x89132),f836(f836(f299(x89131),x89133),f178(f906(x89131,a895)))))),f11(x89131,f228(x89131),x89132))
% 190.77/190.68 [8914]~P108(x89141)+~P1(f836(f29(x89141),x89142))+E(f836(f836(f23(f906(x89141,a895)),x89142),f836(f836(f299(x89141),x89143),f178(f906(x89141,a895)))),f178(f906(x89141,a895)))+~P1(f836(f836(f318(x89141),x89143),x89142))+E(f836(f836(f223(x89141),x89143),f12(x89141,f223(x89141),f836(f836(f23(f906(x89141,a895)),x89142),f836(f836(f299(x89141),x89143),f178(f906(x89141,a895)))))),f12(x89141,f223(x89141),x89142))
% 190.77/190.68 [8929]~P108(x89291)+~P1(f836(f29(x89291),x89293))+~P1(f836(f29(x89291),x89292))+E(f836(f836(f92(f906(x89291,a895)),x89292),x89293),f178(f906(x89291,a895)))+E(f836(f836(f228(x89291),f14(x89291,f836(f836(f91(f906(x89291,a895)),x89292),x89293))),f14(x89291,f836(f836(f92(f906(x89291,a895)),x89292),x89293))),f836(f836(f228(x89291),f14(x89291,x89292)),f14(x89291,x89293)))
% 190.77/190.68 [8930]~P108(x89301)+~P1(f836(f29(x89301),x89303))+~P1(f836(f29(x89301),x89302))+E(f836(f836(f92(f906(x89301,a895)),x89302),x89303),f178(f906(x89301,a895)))+E(f836(f836(f223(x89301),f15(x89301,f836(f836(f91(f906(x89301,a895)),x89302),x89303))),f15(x89301,f836(f836(f92(f906(x89301,a895)),x89302),x89303))),f836(f836(f223(x89301),f15(x89301,x89302)),f15(x89301,x89303)))
% 190.77/190.68 [8931]~P99(x89311)+~P1(f836(f29(x89311),x89313))+~P1(f836(f29(x89311),x89312))+E(f836(f836(f92(f906(x89311,a895)),x89312),x89313),f178(f906(x89311,a895)))+E(f836(f836(f91(x89311),f13(x89311,f836(f836(f91(f906(x89311,a895)),x89312),x89313))),f13(x89311,f836(f836(f92(f906(x89311,a895)),x89312),x89313))),f836(f836(f91(x89311),f13(x89311,x89312)),f13(x89311,x89313)))
% 190.77/190.68 [8932]~P99(x89321)+~P1(f836(f29(x89321),x89323))+~P1(f836(f29(x89321),x89322))+E(f836(f836(f92(f906(x89321,a895)),x89322),x89323),f178(f906(x89321,a895)))+E(f836(f836(f92(x89321),f10(x89321,f836(f836(f91(f906(x89321,a895)),x89322),x89323))),f10(x89321,f836(f836(f92(f906(x89321,a895)),x89322),x89323))),f836(f836(f92(x89321),f10(x89321,x89322)),f10(x89321,x89323)))
% 190.77/190.68 [9148]~P108(x91481)+~P1(f836(f29(x91481),x91483))+~P1(f836(f29(x91481),x91482))+E(f836(f836(f92(f906(x91481,a895)),x91482),x91483),f178(f906(x91481,a895)))+E(f836(f836(f228(x91481),f11(x91481,f228(x91481),f836(f836(f91(f906(x91481,a895)),x91482),x91483))),f11(x91481,f228(x91481),f836(f836(f92(f906(x91481,a895)),x91482),x91483))),f836(f836(f228(x91481),f11(x91481,f228(x91481),x91482)),f11(x91481,f228(x91481),x91483)))
% 190.77/190.68 [9149]~P108(x91491)+~P1(f836(f29(x91491),x91493))+~P1(f836(f29(x91491),x91492))+E(f836(f836(f92(f906(x91491,a895)),x91492),x91493),f178(f906(x91491,a895)))+E(f836(f836(f223(x91491),f12(x91491,f223(x91491),f836(f836(f91(f906(x91491,a895)),x91492),x91493))),f12(x91491,f223(x91491),f836(f836(f92(f906(x91491,a895)),x91492),x91493))),f836(f836(f223(x91491),f12(x91491,f223(x91491),x91492)),f12(x91491,f223(x91491),x91493)))
% 190.77/190.68 [9957]~P110(x99573)+E(x99571,x99572)+~P1(f836(f836(f224(x99573),f2(x99573)),x99572))+~P1(f836(f836(f224(x99573),f2(x99573)),x99571))+~E(f836(f836(f234(x99573),x99571),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))),f836(f836(f234(x99573),x99572),f836(f94(a899),f836(f836(f74(a1),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)),f836(f836(f23(a1),f836(f836(f74(a1),a77),a77)),a87)))))
% 190.77/190.68 [5962]~P3(x59622)+E(x59621,f2(x59622))+~E(f836(f836(f31(x59622),x59623),x59621),x59624)+E(x59623,f836(f836(f75(x59622),x59624),x59621))+~P1(f836(f836(f277(x59622),x59621),x59623))
% 190.77/190.68 [5963]~P3(x59632)+E(x59631,f2(x59632))+~E(x59633,f836(f836(f75(x59632),x59634),x59631))+E(f836(f836(f31(x59632),x59633),x59631),x59634)+~P1(f836(f836(f277(x59632),x59631),x59633))
% 190.77/190.68 [6440]E(f388(x64401,x64402,x64403),x64404)+E(f836(x64401,x64404),f2(a899))+~E(f836(f836(f6(x64403,a899),x64401),x64402),f72(a899))+~P1(f836(f29(x64403),x64402))+~P1(f836(f836(f318(x64403),x64404),x64402))
% 190.77/190.68 [6505]E(f393(x65051,x65052,x65053),x65054)+E(f836(x65051,x65054),f2(a899))+~E(f836(f836(f6(x65053,a899),x65051),x65052),f836(a102,f2(a899)))+~P1(f836(f29(x65053),x65052))+~P1(f836(f836(f318(x65053),x65054),x65052))
% 190.77/190.68 [6618]~P108(x66181)+~P5(x66181)+P1(f836(f836(f225(x66181),x66182),f32(x66181,x66183)))+~P1(f836(f836(f225(x66181),x66182),x66184))+~P1(f836(f836(f318(x66181),x66184),x66183))
% 190.77/190.68 [6795]~P108(x67951)+~P5(x67951)+~P1(f836(f836(f225(x67951),x67954),x67953))+P1(f836(f836(f225(x67951),f33(x67951,x67952)),x67953))+~P1(f836(f836(f318(x67951),x67954),x67952))
% 190.77/190.68 [7064]~P110(x70643)+E(x70641,x70642)+~E(f836(f836(f234(x70643),x70641),f836(a102,x70644)),f836(f836(f234(x70643),x70642),f836(a102,x70644)))+~P1(f836(f836(f224(x70643),f2(x70643)),x70642))+~P1(f836(f836(f224(x70643),f2(x70643)),x70641))
% 190.77/190.68 [7276]~E(f397(x72762,x72763,x72761,x72764),x72764)+~E(f836(x72762,x72764),f72(a899))+E(f836(f836(f6(x72761,a899),x72762),x72763),f72(a899))+~P1(f836(f29(x72761),x72763))+~P1(f836(f836(f318(x72761),x72764),x72763))
% 190.77/190.68 [7283]~P112(x72834)+~P135(x72834)+E(f836(x72831,f862(x72831,x72832,x72833,x72834)),f2(x72834))+~E(f836(f836(f9(x72833,x72834),x72831),x72832),f2(x72834))+~P1(f836(f29(x72833),x72832))
% 190.77/190.68 [7371]~E(f394(x73712,x73713,x73711,x73714),x73714)+~E(f836(x73712,x73714),f836(a102,f2(a899)))+E(f836(f836(f6(x73711,a899),x73712),x73713),f836(a102,f2(a899)))+~P1(f836(f29(x73711),x73713))+~P1(f836(f836(f318(x73711),x73714),x73713))
% 190.77/190.68 [8108]~E(f836(x81082,x81084),f72(a899))+~E(f836(x81082,f397(x81082,x81083,x81081,x81084)),f2(a899))+E(f836(f836(f6(x81081,a899),x81082),x81083),f72(a899))+~P1(f836(f29(x81081),x81083))+~P1(f836(f836(f318(x81081),x81084),x81083))
% 190.77/190.68 [8146]~E(f836(x81462,x81464),f836(a102,f2(a899)))+~E(f836(x81462,f394(x81462,x81463,x81461,x81464)),f2(a899))+E(f836(f836(f6(x81461,a899),x81462),x81463),f836(a102,f2(a899)))+~P1(f836(f29(x81461),x81463))+~P1(f836(f836(f318(x81461),x81464),x81463))
% 190.77/190.68 [8232]~P145(x82322)+~P121(x82322)+~P1(f836(x82321,x82324))+~P1(f836(f836(f277(x82322),x82323),f836(f836(f74(x82322),x82324),f2(x82322))))+P1(f836(x82321,f836(f836(f75(x82322),x82323),f833(x82323,x82321,x82322))))
% 190.77/190.68 [8697]~P108(x86971)+~P13(x86971,x86974)+P13(x86971,x86972)+~E(x86972,f836(f836(f141(x86971),x86973),x86974))+~P1(f836(f836(f224(x86971),x86973),f705(x86972,x86971,x86974,x86973)))
% 190.77/190.68 [8734]E(x87341,x87342)+E(f836(f836(f23(a1),f362(x87343,x87342,x87344,x87341)),f363(x87343,x87342,x87344,x87341)),x87341)+~E(f836(f836(f74(a1),x87341),x87344),x87342)+~P1(f836(f836(f225(a1),f2(a1)),x87344))+~P1(f836(f836(f318(a1),x87342),x87343))
% 190.77/190.68 [8735]E(x87351,x87352)+E(f836(f836(f74(a1),f364(x87353,x87352,x87354,x87351)),f365(x87353,x87352,x87354,x87351)),x87351)+~E(f836(f836(f23(a1),x87351),x87354),x87352)+~P1(f836(f836(f225(a1),f2(a1)),x87354))+~P1(f836(f836(f318(a1),x87352),x87353))
% 190.77/190.68 [8927]E(f836(x89271,f546(x89272,x89271,x89273,x89274)),x89272)+P1(f836(f836(f224(a899),x89274),f547(x89272,x89271,x89273,x89274)))+~P1(f836(f836(f224(a1),x89272),f836(x89271,x89273)))+~P1(f836(f836(f225(a899),x89274),x89273))+~P1(f836(f836(f224(a1),f836(x89271,x89274)),x89272))
% 190.77/190.68 [8928]~P108(x89281)+~P13(x89281,x89283)+P13(x89281,x89282)+~E(x89282,f836(f836(f141(x89281),x89284),x89283))+P1(f836(f836(f318(x89281),f705(x89282,x89281,x89283,x89284)),f836(f162(x89281),x89283)))
% 190.77/190.68 [8946]~P112(x89464)+~P135(x89464)+~E(f836(f836(f9(x89461,x89464),x89462),x89463),f2(x89464))+~P1(f836(f29(x89461),x89463))+P1(f836(f836(f318(x89461),f862(x89462,x89463,x89461,x89464)),x89463))
% 190.77/190.68 [8984]~E(f836(x89842,x89844),f72(a899))+E(f836(f836(f6(x89841,a899),x89842),x89843),f72(a899))+~P1(f836(f29(x89841),x89843))+~P1(f836(f836(f318(x89841),x89844),x89843))+P1(f836(f836(f318(x89841),f397(x89842,x89843,x89841,x89844)),x89843))
% 190.77/190.68 [8996]E(x89961,x89962)+~E(f836(f836(f74(a1),x89962),x89964),x89961)+~P1(f836(f836(f225(a1),f2(a1)),x89964))+~P1(f836(f836(f318(a1),x89961),x89963))+P1(f836(f836(f318(a1),f362(x89963,x89961,x89964,x89962)),x89963))
% 190.77/190.68 [8997]E(x89971,x89972)+~E(f836(f836(f23(a1),x89972),x89974),x89971)+~P1(f836(f836(f225(a1),f2(a1)),x89974))+~P1(f836(f836(f318(a1),x89971),x89973))+P1(f836(f836(f318(a1),f364(x89973,x89971,x89974,x89972)),x89973))
% 190.77/190.68 [8999]~E(f836(x89992,x89994),f836(a102,f2(a899)))+E(f836(f836(f6(x89991,a899),x89992),x89993),f836(a102,f2(a899)))+~P1(f836(f29(x89991),x89993))+~P1(f836(f836(f318(x89991),x89994),x89993))+P1(f836(f836(f318(x89991),f394(x89992,x89993,x89991,x89994)),x89993))
% 190.77/190.68 [9004]P58(x90042,x90043,x90044,x90041)+E(x90041,f178(f906(x90042,a895)))+~P1(f836(f29(x90042),x90044))+~P1(f836(f29(x90042),x90041))+P1(f836(f836(f318(x90042),f775(x90043,x90041,x90044,x90042)),x90044))
% 190.77/190.68 [9005]P58(x90052,x90053,x90054,x90051)+E(x90051,f178(f906(x90052,a895)))+~P1(f836(f29(x90052),x90054))+~P1(f836(f29(x90052),x90051))+P1(f836(f836(f318(x90052),f457(x90051,x90054,x90053,x90052)),x90054))
% 190.77/190.68 [9006]P58(x90062,x90063,x90064,x90061)+E(x90061,f178(f906(x90062,a895)))+~P1(f836(f29(x90062),x90064))+~P1(f836(f29(x90062),x90061))+P1(f836(f836(f318(x90062),f777(x90061,x90064,x90063,x90062)),x90064))
% 190.77/190.68 [9079]E(x90791,x90792)+~E(f836(f836(f74(a1),x90792),x90794),x90791)+~P1(f836(f836(f225(a1),f2(a1)),x90794))+~P1(f836(f836(f318(a1),x90791),x90793))+P1(f836(f836(f318(a1),f363(x90793,x90791,x90794,x90792)),f293(a1,f72(a1),x90794)))
% 190.77/190.68 [9080]E(x90801,x90802)+~E(f836(f836(f23(a1),x90802),x90804),x90801)+~P1(f836(f836(f225(a1),f2(a1)),x90804))+~P1(f836(f836(f318(a1),x90801),x90803))+P1(f836(f836(f318(a1),f365(x90803,x90801,x90804,x90802)),f293(a1,f72(a1),x90804)))
% 190.77/190.68 [9154]P1(f836(f836(f224(a899),x91541),f546(x91542,x91543,x91544,x91541)))+~P1(f836(f836(f224(a1),x91542),f836(x91543,x91544)))+P1(f836(f836(f224(a899),x91541),f547(x91542,x91543,x91544,x91541)))+~P1(f836(f836(f225(a899),x91541),x91544))+~P1(f836(f836(f224(a1),f836(x91543,x91541)),x91542))
% 190.77/190.68 [9268]E(f836(x92681,f546(x92682,x92681,x92683,x92684)),x92682)+~P1(f836(f836(f224(a1),x92682),f836(x92681,x92683)))+P1(f836(f836(f225(a899),f547(x92682,x92681,x92683,x92684)),x92683))+~P1(f836(f836(f225(a899),x92684),x92683))+~P1(f836(f836(f224(a1),f836(x92681,x92684)),x92682))
% 190.77/190.68 [9384]~P1(f836(f836(f277(a899),x93844),x93841))+~P1(f836(f836(f277(a899),x93844),x93843))+~P1(f836(f836(f277(a899),x93842),x93841))+P1(f836(f836(f277(a899),x93841),x93842))+P1(f836(f836(f225(f906(a899,a895)),f280(a899,f277(a899),x93843,x93842)),f280(a899,f277(a899),x93844,x93841)))
% 190.77/190.68 [9385]~P1(f836(f836(f277(a899),x93852),x93851))+~P1(f836(f836(f277(a899),x93853),x93854))+~P1(f836(f836(f277(a899),x93852),x93854))+P1(f836(f836(f277(a899),x93851),x93852))+P1(f836(f836(f225(f906(a899,a895)),f280(a899,f277(a899),x93851,x93853)),f280(a899,f277(a899),x93852,x93854)))
% 190.77/190.68 [9402]~P1(f836(f836(f224(a1),x94022),f836(x94023,x94024)))+P1(f836(f836(f224(a899),x94021),f547(x94022,x94023,x94024,x94021)))+P1(f836(f836(f224(a899),f546(x94022,x94023,x94024,x94021)),x94024))+~P1(f836(f836(f225(a899),x94021),x94024))+~P1(f836(f836(f224(a1),f836(x94023,x94021)),x94022))
% 190.77/190.68 [9403]~P1(f836(f836(f224(a1),x94032),f836(x94033,x94034)))+P1(f836(f836(f224(a899),x94031),f546(x94032,x94033,x94034,x94031)))+P1(f836(f836(f225(a899),f547(x94032,x94033,x94034,x94031)),x94034))+~P1(f836(f836(f225(a899),x94031),x94034))+~P1(f836(f836(f224(a1),f836(x94033,x94031)),x94032))
% 190.77/190.68 [9511]~P1(f836(f836(f224(a1),x95111),f836(x95112,x95113)))+P1(f836(f836(f225(a899),f547(x95111,x95112,x95113,x95114)),x95113))+~P1(f836(f836(f225(a899),x95114),x95113))+~P1(f836(f836(f224(a1),f836(x95112,x95114)),x95111))+P1(f836(f836(f224(a899),f546(x95111,x95112,x95113,x95114)),x95113))
% 190.77/190.68 [9605]E(x96051,f178(f906(x96052,a895)))+~P1(f836(f29(x96052),x96054))+~P1(f836(f29(x96052),x96051))+P1(f836(f836(f318(f905(f906(x96052,a895),f906(x96052,a895))),f836(f836(f242(f906(x96052,a895),f906(x96052,a895)),x96054),x96051)),f309(x96052,x96053)))+P1(f836(f836(f318(x96052),f459(x96053,x96051,x96054,x96052)),x96054))
% 190.77/190.68 [9606]E(x96061,f178(f906(x96062,a895)))+~P1(f836(f29(x96062),x96064))+~P1(f836(f29(x96062),x96061))+P1(f836(f836(f318(f905(f906(x96062,a895),f906(x96062,a895))),f836(f836(f242(f906(x96062,a895),f906(x96062,a895)),x96064),x96061)),f309(x96062,x96063)))+P1(f836(f836(f318(x96062),f541(x96063,x96061,x96064,x96062)),x96064))
% 190.77/190.68 [10279]E(f836(x102791,f546(x102792,x102791,x102793,x102794)),x102792)+~P1(f836(f836(f224(a1),x102792),f836(x102791,x102793)))+~P1(f836(f836(f224(a1),f836(f70(a1),f836(f836(f23(a1),f836(x102791,f836(f836(f74(a899),f547(x102792,x102791,x102793,x102794)),f72(a899)))),f836(x102791,f547(x102792,x102791,x102793,x102794))))),f72(a1)))+~P1(f836(f836(f225(a899),x102794),x102793))+~P1(f836(f836(f224(a1),f836(x102791,x102794)),x102792))
% 190.77/190.68 [10280]~P1(f836(f836(f224(a1),x102802),f836(x102803,x102804)))+P1(f836(f836(f224(a899),x102801),f546(x102802,x102803,x102804,x102801)))+~P1(f836(f836(f224(a1),f836(f70(a1),f836(f836(f23(a1),f836(x102803,f836(f836(f74(a899),f547(x102802,x102803,x102804,x102801)),f72(a899)))),f836(x102803,f547(x102802,x102803,x102804,x102801))))),f72(a1)))+~P1(f836(f836(f225(a899),x102801),x102804))+~P1(f836(f836(f224(a1),f836(x102803,x102801)),x102802))
% 190.77/190.68 [10281]~P1(f836(f836(f224(a1),x102811),f836(x102812,x102813)))+~P1(f836(f836(f224(a1),f836(f70(a1),f836(f836(f23(a1),f836(x102812,f836(f836(f74(a899),f547(x102811,x102812,x102813,x102814)),f72(a899)))),f836(x102812,f547(x102811,x102812,x102813,x102814))))),f72(a1)))+~P1(f836(f836(f225(a899),x102814),x102813))+~P1(f836(f836(f224(a1),f836(x102812,x102814)),x102811))+P1(f836(f836(f224(a899),f546(x102811,x102812,x102813,x102814)),x102813))
% 190.77/190.68 [7334]~P63(x73341)+P1(f836(f836(f225(x73341),x73342),f2(x73341)))+~P1(f836(f836(f224(x73341),x73343),f2(x73341)))+P1(f836(f836(f225(x73341),f2(x73341)),x73342))+P1(f836(f836(f224(x73341),x73343),f836(f836(f281(x73341),x73344),x73342)))
% 190.77/190.68 [7335]~P63(x73351)+P1(f836(f836(f225(x73351),x73352),f2(x73351)))+~P1(f836(f836(f225(x73351),x73353),f2(x73351)))+P1(f836(f836(f225(x73351),f2(x73351)),x73352))+P1(f836(f836(f225(x73351),x73353),f836(f836(f281(x73351),x73354),x73352)))
% 190.77/190.68 [7584]~P63(x75841)+P1(f836(f836(f224(x75841),x75842),f2(x75841)))+P1(f836(f836(f225(x75841),x75843),f2(x75841)))+P1(f836(f836(f225(x75841),f2(x75841)),x75843))+~P1(f836(f836(f224(x75841),x75842),f836(f836(f281(x75841),x75844),x75843)))
% 190.77/190.68 [7585]~P63(x75851)+P1(f836(f836(f225(x75851),x75852),f2(x75851)))+P1(f836(f836(f225(x75851),x75853),f2(x75851)))+P1(f836(f836(f225(x75851),f2(x75851)),x75853))+~P1(f836(f836(f225(x75851),x75852),f836(f836(f281(x75851),x75854),x75853)))
% 190.77/190.68 [7704]E(x77041,x77042)+~E(f836(f836(f154(x77043),x77044),x77041),f836(f836(f154(x77043),x77044),x77042))+~P1(f836(f127(x77043),x77044))+~P1(f836(f836(f225(a899),x77042),f836(f179(f900(x77043)),x77044)))+~P1(f836(f836(f225(a899),x77041),f836(f179(f900(x77043)),x77044)))
% 190.77/190.68 [8070]~P63(x80701)+~P1(f836(f836(f224(x80701),x80703),f2(x80701)))+P1(f836(f836(f225(x80701),f2(x80701)),x80702))+~P1(f836(f836(f224(x80701),x80704),f836(f836(f75(x80701),x80703),x80702)))+P1(f836(f836(f224(x80701),x80703),f836(f836(f281(x80701),x80704),x80702)))
% 190.77/190.68 [8071]~P63(x80711)+~P1(f836(f836(f225(x80711),x80713),f2(x80711)))+P1(f836(f836(f225(x80711),f2(x80711)),x80712))+~P1(f836(f836(f225(x80711),x80714),f836(f836(f75(x80711),x80713),x80712)))+P1(f836(f836(f225(x80711),x80713),f836(f836(f281(x80711),x80714),x80712)))
% 190.77/190.68 [8072]~P63(x80721)+~P1(f836(f836(f225(x80721),x80722),f2(x80721)))+P1(f836(f836(f225(x80721),f2(x80721)),x80722))+~P1(f836(f836(f224(x80721),x80724),f836(f836(f75(x80721),x80723),x80722)))+P1(f836(f836(f224(x80721),x80723),f836(f836(f281(x80721),x80724),x80722)))
% 190.77/190.68 [8073]~P63(x80731)+~P1(f836(f836(f225(x80731),x80732),f2(x80731)))+P1(f836(f836(f225(x80731),f2(x80731)),x80732))+~P1(f836(f836(f224(x80731),x80734),f836(f836(f281(x80731),x80733),x80732)))+P1(f836(f836(f224(x80731),x80733),f836(f836(f75(x80731),x80734),x80732)))
% 190.77/190.68 [8074]~P63(x80741)+~P1(f836(f836(f225(x80741),x80742),f2(x80741)))+P1(f836(f836(f225(x80741),f2(x80741)),x80742))+~P1(f836(f836(f225(x80741),x80744),f836(f836(f75(x80741),x80743),x80742)))+P1(f836(f836(f225(x80741),x80743),f836(f836(f281(x80741),x80744),x80742)))
% 190.77/190.68 [8075]~P63(x80751)+~P1(f836(f836(f225(x80751),x80752),f2(x80751)))+P1(f836(f836(f225(x80751),f2(x80751)),x80752))+~P1(f836(f836(f225(x80751),x80754),f836(f836(f281(x80751),x80753),x80752)))+P1(f836(f836(f225(x80751),x80753),f836(f836(f75(x80751),x80754),x80752)))
% 190.77/190.68 [8200]~P3(x82001)+~P1(f836(f836(f277(x82001),x82003),x82004))+~P1(f836(f836(f277(x82001),x82003),x82002))+~P1(f836(f836(f277(x82001),x82002),x82004))+P1(f836(f836(f277(x82001),f836(f836(f31(x82001),x82002),x82003)),f836(f836(f31(x82001),x82004),x82003)))
% 190.77/190.68 [8215]~P108(x82151)+~P13(x82151,x82152)+~P1(f836(f836(f224(a899),x82153),x82154))+P1(f836(f836(f224(x82151),f836(f836(f154(x82151),x82152),x82153)),f836(f836(f154(x82151),x82152),x82154)))+~P1(f836(f836(f225(a899),x82154),f836(f179(f900(x82151)),x82152)))
% 190.77/190.68 [8268]~P110(x82681)+~P1(f836(f836(f224(x82681),x82682),f72(x82681)))+~P1(f836(f836(f224(x82681),f2(x82681)),x82682))+~P1(f836(f836(f224(a899),x82684),x82683))+P1(f836(f836(f224(x82681),f836(f836(f234(x82681),x82682),x82683)),f836(f836(f234(x82681),x82682),x82684)))
% 190.77/190.68 [8269]~P110(x82691)+~P1(f836(f836(f225(x82691),x82692),f72(x82691)))+~P1(f836(f836(f225(x82691),f2(x82691)),x82692))+~P1(f836(f836(f225(a899),x82694),x82693))+P1(f836(f836(f225(x82691),f836(f836(f234(x82691),x82692),x82693)),f836(f836(f234(x82691),x82692),x82694)))
% 190.77/190.68 [8270]~P110(x82701)+~P1(f836(f836(f224(x82701),f2(x82701)),x82702))+~P1(f836(f836(f225(a899),f2(a899)),x82703))+~P1(f836(f836(f225(x82701),x82702),x82704))+P1(f836(f836(f225(x82701),f836(f836(f234(x82701),x82702),x82703)),f836(f836(f234(x82701),x82704),x82703)))
% 190.77/190.68 [8288]~P108(x82881)+~P13(x82881,f836(f158(x82881),x82882))+~P1(f836(f836(f224(a899),x82884),x82883))+P1(f836(f836(f224(x82881),f836(f836(f154(x82881),x82882),x82883)),f836(f836(f154(x82881),x82882),x82884)))+~P1(f836(f836(f225(a899),x82883),f836(f179(f900(x82881)),x82882)))
% 190.77/190.68 [8519]~P3(x85191)+P1(f836(f836(f277(x85191),x85192),x85193))+~P1(f836(f836(f277(x85191),x85194),x85193))+~P1(f836(f836(f277(x85191),x85194),x85192))+~P1(f836(f836(f277(x85191),f836(f836(f31(x85191),x85192),x85194)),f836(f836(f31(x85191),x85193),x85194)))
% 190.77/190.68 [8534]~P63(x85341)+~P1(f836(f836(f224(x85341),x85342),f2(x85341)))+~P1(f836(f836(f224(x85341),x85343),x85344))+~P1(f836(f836(f225(x85341),f2(x85341)),f836(f836(f75(x85341),x85343),x85344)))+P1(f836(f836(f224(x85341),f836(f836(f281(x85341),x85342),x85343)),f836(f836(f281(x85341),x85342),x85344)))
% 190.77/190.68 [8535]~P64(x85351)+~P1(f836(f836(f225(x85351),x85352),f2(x85351)))+~P1(f836(f836(f225(x85351),x85353),x85354))+~P1(f836(f836(f225(x85351),f2(x85351)),f836(f836(f75(x85351),x85353),x85354)))+P1(f836(f836(f225(x85351),f836(f836(f281(x85351),x85352),x85353)),f836(f836(f281(x85351),x85352),x85354)))
% 190.77/190.68 [8544]~P64(x85441)+~P1(f836(f836(f224(x85441),x85444),x85443))+~P1(f836(f836(f224(x85441),f2(x85441)),x85442))+~P1(f836(f836(f225(x85441),f2(x85441)),f836(f836(f75(x85441),x85443),x85444)))+P1(f836(f836(f224(x85441),f836(f836(f281(x85441),x85442),x85443)),f836(f836(f281(x85441),x85442),x85444)))
% 190.77/190.68 [8545]~P64(x85451)+~P1(f836(f836(f225(x85451),x85454),x85453))+~P1(f836(f836(f225(x85451),f2(x85451)),x85452))+~P1(f836(f836(f225(x85451),f2(x85451)),f836(f836(f75(x85451),x85453),x85454)))+P1(f836(f836(f225(x85451),f836(f836(f281(x85451),x85452),x85453)),f836(f836(f281(x85451),x85452),x85454)))
% 190.77/190.68 [8645]P1(f836(x86451,x86452))+~P1(f836(f29(x86454),x86452))+P1(f836(x86451,f880(x86451,x86453,x86452,x86454)))+~P1(f836(x86451,f178(f906(x86454,a895))))+~P1(f836(f836(f224(f906(x86454,a895)),x86452),x86453))
% 190.77/190.68 [8654]P1(f836(x86541,x86542))+P1(f836(f29(x86543),f880(x86541,x86544,x86542,x86543)))+~P1(f836(f29(x86543),x86542))+~P1(f836(x86541,f178(f906(x86543,a895))))+~P1(f836(f836(f224(f906(x86543,a895)),x86542),x86544))
% 190.77/190.68 [8922]E(f836(f836(f74(a1),f368(x89221,x89222,x89223,x89224)),f369(x89221,x89222,x89223,x89224)),x89224)+~P1(f836(f836(f225(a1),f2(a1)),x89223))+~P1(f836(f836(f225(a1),x89222),x89224))+~P1(f836(f836(f318(a1),x89222),x89221))+P1(f836(f836(f225(a1),x89222),f836(f836(f23(a1),x89224),x89223)))
% 190.77/190.68 [9136]~P1(f836(f836(f225(a1),f2(a1)),x91363))+~P1(f836(f836(f225(a1),x91362),x91364))+~P1(f836(f836(f318(a1),x91362),x91361))+P1(f836(f836(f318(a1),f368(x91361,x91362,x91363,x91364)),x91361))+P1(f836(f836(f225(a1),x91362),f836(f836(f23(a1),x91364),x91363)))
% 190.77/190.68 [9147]P1(f836(x91471,x91472))+~P1(f836(f29(x91473),x91472))+P1(f836(f836(f318(x91473),f884(x91471,x91474,x91472,x91473)),x91474))+~P1(f836(x91471,f178(f906(x91473,a895))))+~P1(f836(f836(f224(f906(x91473,a895)),x91472),x91474))
% 190.77/190.68 [9164]E(f836(f836(f74(a1),f353(x91641,x91642,x91643,x91644)),f354(x91641,x91642,x91643,x91644)),x91644)+~P1(f836(f836(f225(a1),f2(a1)),x91643))+~P1(f836(f836(f224(a1),x91642),x91644))+P1(f836(f836(f224(a1),x91642),f836(f836(f23(a1),x91644),x91643)))+~P1(f836(f836(f318(a1),f836(f836(f23(a1),x91642),f72(a1))),x91641))
% 190.77/190.68 [9218]~P1(f836(f836(f225(a1),f2(a1)),x92183))+~P1(f836(f836(f225(a1),x92181),x92182))+~P1(f836(f836(f318(a1),x92181),x92184))+P1(f836(f836(f318(a1),f369(x92184,x92181,x92183,x92182)),f293(a1,f72(a1),x92183)))+P1(f836(f836(f225(a1),x92181),f836(f836(f23(a1),x92182),x92183)))
% 190.77/190.68 [9244]~P73(x92442)+~E(f758(x92443,x92444,x92441,x92442),f759(x92443,x92444,x92441,x92442))+~P1(f836(f29(x92441),f760(x92443,x92444,x92441,x92442)))+E(f836(f836(f6(f906(x92441,a895),x92442),f836(f6(x92441,x92442),x92443)),x92444),f836(f836(f6(x92441,x92442),x92443),f32(f906(x92441,a895),x92444)))+~P1(f836(f29(f906(x92441,a895)),x92444))
% 190.77/190.68 [9248]~P73(x92482)+~E(f836(x92483,f761(x92483,x92484,x92481,x92482)),f2(x92482))+~P1(f836(f29(x92481),f760(x92483,x92484,x92481,x92482)))+E(f836(f836(f6(f906(x92481,a895),x92482),f836(f6(x92481,x92482),x92483)),x92484),f836(f836(f6(x92481,x92482),x92483),f32(f906(x92481,a895),x92484)))+~P1(f836(f29(f906(x92481,a895)),x92484))
% 190.77/190.68 [9312]~P1(f836(f836(f225(a1),f2(a1)),x93123))+~P1(f836(f836(f224(a1),x93122),x93124))+P1(f836(f836(f318(a1),f353(x93121,x93122,x93123,x93124)),x93121))+P1(f836(f836(f224(a1),x93122),f836(f836(f23(a1),x93124),x93123)))+~P1(f836(f836(f318(a1),f836(f836(f23(a1),x93122),f72(a1))),x93121))
% 190.77/190.68 [9358]~P1(f836(f836(f225(a1),f2(a1)),x93583))+~P1(f836(f836(f224(a1),x93581),x93582))+P1(f836(f836(f318(a1),f354(x93584,x93581,x93583,x93582)),f293(a1,f72(a1),x93583)))+P1(f836(f836(f224(a1),x93581),f836(f836(f23(a1),x93582),x93583)))+~P1(f836(f836(f318(a1),f836(f836(f23(a1),x93581),f72(a1))),x93584))
% 190.77/190.68 [9380]~P73(x93802)+~E(f758(x93803,x93804,x93801,x93802),f759(x93803,x93804,x93801,x93802))+E(f836(f836(f6(f906(x93801,a895),x93802),f836(f6(x93801,x93802),x93803)),x93804),f836(f836(f6(x93801,x93802),x93803),f32(f906(x93801,a895),x93804)))+P1(f836(f836(f318(f906(x93801,a895)),f760(x93803,x93804,x93801,x93802)),x93804))+~P1(f836(f29(f906(x93801,a895)),x93804))
% 190.77/190.68 [9387]~P73(x93872)+~E(f836(x93873,f761(x93873,x93874,x93871,x93872)),f2(x93872))+E(f836(f836(f6(f906(x93871,a895),x93872),f836(f6(x93871,x93872),x93873)),x93874),f836(f836(f6(x93871,x93872),x93873),f32(f906(x93871,a895),x93874)))+P1(f836(f836(f318(f906(x93871,a895)),f760(x93873,x93874,x93871,x93872)),x93874))+~P1(f836(f29(f906(x93871,a895)),x93874))
% 190.77/190.68 [9488]~P73(x94882)+~P1(f836(f29(x94881),f760(x94883,x94884,x94881,x94882)))+E(f836(f836(f6(f906(x94881,a895),x94882),f836(f6(x94881,x94882),x94883)),x94884),f836(f836(f6(x94881,x94882),x94883),f32(f906(x94881,a895),x94884)))+P1(f836(f836(f318(f906(x94881,a895)),f759(x94883,x94884,x94881,x94882)),x94884))+~P1(f836(f29(f906(x94881,a895)),x94884))
% 190.77/190.68 [9489]~P73(x94892)+~P1(f836(f29(x94891),f760(x94893,x94894,x94891,x94892)))+E(f836(f836(f6(f906(x94891,a895),x94892),f836(f6(x94891,x94892),x94893)),x94894),f836(f836(f6(x94891,x94892),x94893),f32(f906(x94891,a895),x94894)))+P1(f836(f836(f318(f906(x94891,a895)),f758(x94893,x94894,x94891,x94892)),x94894))+~P1(f836(f29(f906(x94891,a895)),x94894))
% 190.77/190.68 [9569]~P73(x95692)+E(f836(f836(f6(f906(x95691,a895),x95692),f836(f6(x95691,x95692),x95693)),x95694),f836(f836(f6(x95691,x95692),x95693),f32(f906(x95691,a895),x95694)))+P1(f836(f836(f318(f906(x95691,a895)),f760(x95693,x95694,x95691,x95692)),x95694))+P1(f836(f836(f318(f906(x95691,a895)),f759(x95693,x95694,x95691,x95692)),x95694))+~P1(f836(f29(f906(x95691,a895)),x95694))
% 190.77/190.68 [9570]~P73(x95702)+E(f836(f836(f6(f906(x95701,a895),x95702),f836(f6(x95701,x95702),x95703)),x95704),f836(f836(f6(x95701,x95702),x95703),f32(f906(x95701,a895),x95704)))+P1(f836(f836(f318(f906(x95701,a895)),f760(x95703,x95704,x95701,x95702)),x95704))+P1(f836(f836(f318(f906(x95701,a895)),f758(x95703,x95704,x95701,x95702)),x95704))+~P1(f836(f29(f906(x95701,a895)),x95704))
% 190.77/190.68 [9591]~P73(x95912)+P1(f836(f836(f318(x95911),f761(x95913,x95914,x95911,x95912)),f759(x95913,x95914,x95911,x95912)))+~P1(f836(f29(x95911),f760(x95913,x95914,x95911,x95912)))+E(f836(f836(f6(f906(x95911,a895),x95912),f836(f6(x95911,x95912),x95913)),x95914),f836(f836(f6(x95911,x95912),x95913),f32(f906(x95911,a895),x95914)))+~P1(f836(f29(f906(x95911,a895)),x95914))
% 190.77/190.68 [9592]~P73(x95922)+P1(f836(f836(f318(x95921),f761(x95923,x95924,x95921,x95922)),f758(x95923,x95924,x95921,x95922)))+~P1(f836(f29(x95921),f760(x95923,x95924,x95921,x95922)))+E(f836(f836(f6(f906(x95921,a895),x95922),f836(f6(x95921,x95922),x95923)),x95924),f836(f836(f6(x95921,x95922),x95923),f32(f906(x95921,a895),x95924)))+~P1(f836(f29(f906(x95921,a895)),x95924))
% 190.77/190.68 [9609]P1(f836(x96091,x96092))+~P1(f836(f836(f318(x96093),f884(x96091,x96094,x96092,x96093)),f880(x96091,x96094,x96092,x96093)))+~P1(f836(f29(x96093),x96092))+~P1(f836(x96091,f178(f906(x96093,a895))))+~P1(f836(f836(f224(f906(x96093,a895)),x96092),x96094))
% 190.77/190.68 [9646]~P73(x96462)+P1(f836(f836(f318(x96461),f761(x96463,x96464,x96461,x96462)),f759(x96463,x96464,x96461,x96462)))+E(f836(f836(f6(f906(x96461,a895),x96462),f836(f6(x96461,x96462),x96463)),x96464),f836(f836(f6(x96461,x96462),x96463),f32(f906(x96461,a895),x96464)))+P1(f836(f836(f318(f906(x96461,a895)),f760(x96463,x96464,x96461,x96462)),x96464))+~P1(f836(f29(f906(x96461,a895)),x96464))
% 190.77/190.68 [9647]~P73(x96472)+P1(f836(f836(f318(x96471),f761(x96473,x96474,x96471,x96472)),f758(x96473,x96474,x96471,x96472)))+E(f836(f836(f6(f906(x96471,a895),x96472),f836(f6(x96471,x96472),x96473)),x96474),f836(f836(f6(x96471,x96472),x96473),f32(f906(x96471,a895),x96474)))+P1(f836(f836(f318(f906(x96471,a895)),f760(x96473,x96474,x96471,x96472)),x96474))+~P1(f836(f29(f906(x96471,a895)),x96474))
% 190.77/190.68 [9822]P1(f836(x98221,x98222))+~P1(f836(f29(x98223),x98222))+~P1(f836(x98221,f836(f836(f299(x98223),f884(x98221,x98224,x98222,x98223)),f880(x98221,x98224,x98222,x98223))))+~P1(f836(x98221,f178(f906(x98223,a895))))+~P1(f836(f836(f224(f906(x98223,a895)),x98222),x98224))
% 190.77/190.68 [10153]~P109(x101533)+~P48(a899,x101533,f836(f836(f18(a899,f906(a899,a895),f906(a899,a895)),f836(f836(f8(f906(a899,f906(a895,a895)),f906(f906(a899,a895),f906(a899,a895)),a899),f18(a899,a895,a895)),f836(f836(f8(f906(a899,a895),f906(a899,f906(a895,a895)),a899),f836(f8(a895,f906(a895,a895),a899),a315)),f277(a899)))),f836(f836(f8(f906(a899,a895),f906(a899,a895),a899),f836(f8(a895,a895,a899),a312)),f836(f7(a899,a899,a895),f277(a899)))),x101534)+P1(f836(f836(f225(x101533),f836(x101534,x101532)),f836(x101534,x101531)))+~P1(f836(f836(f277(a899),x101532),x101531))+P1(f836(f836(f277(a899),x101531),x101532))
% 190.77/190.68 [7840]~P63(x78401)+P1(f836(f836(f225(x78401),x78402),f2(x78401)))+~P1(f836(f836(f224(x78401),f2(x78401)),x78404))+P1(f836(f836(f225(x78401),f2(x78401)),x78402))+P1(f836(f836(f224(x78401),f836(f836(f281(x78401),x78403),x78402)),x78404))
% 190.77/190.68 [7841]~P63(x78411)+P1(f836(f836(f225(x78411),x78412),f2(x78411)))+P1(f836(f836(f225(x78411),f2(x78411)),x78412))+~P1(f836(f836(f225(x78411),f2(x78411)),x78414))+P1(f836(f836(f225(x78411),f836(f836(f281(x78411),x78413),x78412)),x78414))
% 190.77/190.68 [8121]~P1(f836(f836(f224(a1),x81214),f2(a1)))+~E(x81212,f836(f836(f74(a1),f836(f836(f75(a1),x81211),x81213)),x81214))+P1(f836(f836(f225(a1),f2(a1)),x81211))+~P1(f836(f836(f225(a1),x81211),x81214))+P1(f836(f45(x81212,x81211),f836(f836(f242(a1,a1),x81213),x81214)))
% 190.77/190.68 [8155]~P1(f836(x81551,x81554))+P1(f836(x81551,f667(x81552,x81551,x81553)))+~P1(f836(f836(f224(a1),f2(a1)),x81552))+~P1(f836(f836(f225(a1),f2(a1)),x81553))+P1(f836(x81551,f836(f836(f23(a1),x81554),f836(f836(f75(a1),x81552),x81553))))
% 190.77/190.68 [8156]~P1(f836(x81561,x81564))+P1(f836(x81561,f699(x81562,x81561,x81563)))+~P1(f836(f836(f224(a1),f2(a1)),x81562))+~P1(f836(f836(f225(a1),f2(a1)),x81563))+P1(f836(x81561,f836(f836(f74(a1),x81564),f836(f836(f75(a1),x81562),x81563))))
% 190.77/190.68 [8157]~P63(x81571)+P1(f836(f836(f225(x81571),x81572),f2(x81571)))+P1(f836(f836(f225(x81571),f2(x81571)),x81572))+P1(f836(f836(f224(x81571),f2(x81571)),x81573))+~P1(f836(f836(f224(x81571),f836(f836(f281(x81571),x81574),x81572)),x81573))
% 190.77/190.68 [8158]~P63(x81581)+P1(f836(f836(f225(x81581),x81582),f2(x81581)))+P1(f836(f836(f225(x81581),f2(x81581)),x81582))+P1(f836(f836(f225(x81581),f2(x81581)),x81583))+~P1(f836(f836(f225(x81581),f836(f836(f281(x81581),x81584),x81582)),x81583))
% 190.77/190.68 [8210]~E(x82101,f836(f836(f74(a1),f836(f836(f75(a1),x82102),x82103)),x82104))+~P1(f836(f836(f224(a1),f2(a1)),x82104))+~P1(f836(f836(f225(a1),f2(a1)),x82102))+~P1(f836(f836(f225(a1),x82104),x82102))+P1(f836(f45(x82101,x82102),f836(f836(f242(a1,a1),x82103),x82104)))
% 190.77/190.68 [8327]~P63(x83271)+P1(f836(f836(f225(x83271),x83272),f2(x83271)))+~P1(f836(f836(f224(x83271),f2(x83271)),x83274))+~P1(f836(f836(f224(x83271),x83273),f836(f836(f75(x83271),x83274),x83272)))+P1(f836(f836(f224(x83271),f836(f836(f281(x83271),x83273),x83272)),x83274))
% 190.77/190.68 [8328]~P63(x83281)+P1(f836(f836(f225(x83281),x83282),f2(x83281)))+~P1(f836(f836(f225(x83281),f2(x83281)),x83284))+~P1(f836(f836(f225(x83281),x83283),f836(f836(f75(x83281),x83284),x83282)))+P1(f836(f836(f225(x83281),f836(f836(f281(x83281),x83283),x83282)),x83284))
% 190.77/190.68 [8413]~P63(x84131)+P1(f836(f836(f225(x84131),x84132),f2(x84131)))+~P1(f836(f836(f224(x84131),x84133),f2(x84131)))+P1(f836(f836(f224(x84131),x84133),f836(f836(f281(x84131),x84134),x84132)))+~P1(f836(f836(f224(x84131),f836(f836(f75(x84131),x84133),x84132)),x84134))
% 190.77/190.68 [8414]~P63(x84141)+P1(f836(f836(f225(x84141),x84142),f2(x84141)))+~P1(f836(f836(f225(x84141),x84143),f2(x84141)))+P1(f836(f836(f225(x84141),x84143),f836(f836(f281(x84141),x84144),x84142)))+~P1(f836(f836(f225(x84141),f836(f836(f75(x84141),x84143),x84142)),x84144))
% 190.77/190.68 [8566]~P63(x85661)+~P1(f836(f836(f225(x85661),x85662),f2(x85661)))+P1(f836(f836(f225(x85661),f2(x85661)),x85662))+~P1(f836(f836(f224(x85661),f836(f836(f281(x85661),x85664),x85662)),x85663))+P1(f836(f836(f224(x85661),f836(f836(f75(x85661),x85663),x85662)),x85664))
% 190.77/190.68 [8567]~P63(x85671)+~P1(f836(f836(f225(x85671),x85672),f2(x85671)))+P1(f836(f836(f225(x85671),f2(x85671)),x85672))+~P1(f836(f836(f224(x85671),f836(f836(f75(x85671),x85674),x85672)),x85673))+P1(f836(f836(f224(x85671),f836(f836(f281(x85671),x85673),x85672)),x85674))
% 190.77/190.68 [8568]~P63(x85681)+~P1(f836(f836(f225(x85681),x85682),f2(x85681)))+P1(f836(f836(f225(x85681),f2(x85681)),x85682))+~P1(f836(f836(f225(x85681),f836(f836(f281(x85681),x85684),x85682)),x85683))+P1(f836(f836(f225(x85681),f836(f836(f75(x85681),x85683),x85682)),x85684))
% 190.77/190.68 [8569]~P63(x85691)+~P1(f836(f836(f225(x85691),x85692),f2(x85691)))+P1(f836(f836(f225(x85691),f2(x85691)),x85692))+~P1(f836(f836(f225(x85691),f836(f836(f75(x85691),x85694),x85692)),x85693))+P1(f836(f836(f225(x85691),f836(f836(f281(x85691),x85693),x85692)),x85694))
% 190.77/190.68 [8585]~P63(x85851)+~P1(f836(f836(f224(x85851),f2(x85851)),x85854))+P1(f836(f836(f225(x85851),f2(x85851)),x85852))+~P1(f836(f836(f224(x85851),f836(f836(f75(x85851),x85854),x85852)),x85853))+P1(f836(f836(f224(x85851),f836(f836(f281(x85851),x85853),x85852)),x85854))
% 190.77/190.68 [8586]~P63(x85861)+~P1(f836(f836(f225(x85861),f2(x85861)),x85864))+P1(f836(f836(f225(x85861),f2(x85861)),x85862))+~P1(f836(f836(f225(x85861),f836(f836(f75(x85861),x85864),x85862)),x85863))+P1(f836(f836(f225(x85861),f836(f836(f281(x85861),x85863),x85862)),x85864))
% 190.77/190.68 [8662]~P63(x86621)+~P1(f836(f836(f225(x86621),x86624),f2(x86621)))+~P1(f836(f836(f224(x86621),x86623),f836(f836(f75(x86621),x86622),x86624)))+P1(f836(f836(f224(x86621),x86622),f836(f836(f281(x86621),x86623),x86624)))+~P1(f836(f836(f224(x86621),f836(f836(f75(x86621),x86622),x86624)),x86623))
% 190.77/190.68 [8663]~P63(x86631)+~P1(f836(f836(f224(x86631),x86632),f2(x86631)))+~P1(f836(f836(f224(x86631),x86633),f836(f836(f75(x86631),x86632),x86634)))+P1(f836(f836(f224(x86631),x86632),f836(f836(f281(x86631),x86633),x86634)))+~P1(f836(f836(f224(x86631),f836(f836(f75(x86631),x86632),x86634)),x86633))
% 190.77/190.68 [8664]~P63(x86641)+~P1(f836(f836(f225(x86641),x86644),f2(x86641)))+~P1(f836(f836(f225(x86641),x86643),f836(f836(f75(x86641),x86642),x86644)))+P1(f836(f836(f225(x86641),x86642),f836(f836(f281(x86641),x86643),x86644)))+~P1(f836(f836(f225(x86641),f836(f836(f75(x86641),x86642),x86644)),x86643))
% 190.77/190.68 [8665]~P63(x86651)+~P1(f836(f836(f225(x86651),x86652),f2(x86651)))+~P1(f836(f836(f225(x86651),x86653),f836(f836(f75(x86651),x86652),x86654)))+P1(f836(f836(f225(x86651),x86652),f836(f836(f281(x86651),x86653),x86654)))+~P1(f836(f836(f225(x86651),f836(f836(f75(x86651),x86652),x86654)),x86653))
% 190.77/190.68 [8787]~P63(x87871)+~P1(f836(f836(f225(x87871),x87873),f2(x87871)))+~P1(f836(f836(f224(x87871),x87872),f836(f836(f75(x87871),x87874),x87873)))+~P1(f836(f836(f224(x87871),f836(f836(f75(x87871),x87874),x87873)),x87872))+P1(f836(f836(f224(x87871),f836(f836(f281(x87871),x87872),x87873)),x87874))
% 190.77/190.69 [8788]~P63(x87881)+~P1(f836(f836(f225(x87881),x87883),f2(x87881)))+~P1(f836(f836(f225(x87881),x87882),f836(f836(f75(x87881),x87884),x87883)))+~P1(f836(f836(f225(x87881),f836(f836(f75(x87881),x87884),x87883)),x87882))+P1(f836(f836(f225(x87881),f836(f836(f281(x87881),x87882),x87883)),x87884))
% 190.77/190.69 [8805]~P63(x88051)+~P1(f836(f836(f224(x88051),f2(x88051)),x88054))+~P1(f836(f836(f224(x88051),x88052),f836(f836(f75(x88051),x88054),x88053)))+~P1(f836(f836(f224(x88051),f836(f836(f75(x88051),x88054),x88053)),x88052))+P1(f836(f836(f224(x88051),f836(f836(f281(x88051),x88052),x88053)),x88054))
% 190.77/190.69 [8806]~P63(x88061)+~P1(f836(f836(f225(x88061),f2(x88061)),x88064))+~P1(f836(f836(f225(x88061),x88062),f836(f836(f75(x88061),x88064),x88063)))+~P1(f836(f836(f225(x88061),f836(f836(f75(x88061),x88064),x88063)),x88062))+P1(f836(f836(f225(x88061),f836(f836(f281(x88061),x88062),x88063)),x88064))
% 190.77/190.69 [8989]E(f836(f836(f23(a1),f370(x89891,x89892,x89893,x89894)),f371(x89891,x89892,x89893,x89894)),x89894)+~P1(f836(f836(f225(a1),f2(a1)),x89893))+~P1(f836(f836(f318(a1),x89892),x89891))+~P1(f836(f836(f225(a1),x89894),x89892))+P1(f836(f836(f225(a1),f836(f836(f74(a1),x89894),x89893)),x89892))
% 190.77/190.69 [9060]~P1(f836(x90601,x90602))+~P1(f836(f836(f224(a1),f2(a1)),x90603))+~P1(f836(f836(f225(a1),f2(a1)),x90604))+~P1(f836(x90601,f836(f836(f23(a1),f667(x90603,x90601,x90604)),x90604)))+P1(f836(x90601,f836(f836(f23(a1),x90602),f836(f836(f75(a1),x90603),x90604))))
% 190.77/190.69 [9061]~P1(f836(x90611,x90612))+~P1(f836(f836(f224(a1),f2(a1)),x90613))+~P1(f836(f836(f225(a1),f2(a1)),x90614))+~P1(f836(x90611,f836(f836(f74(a1),f699(x90613,x90611,x90614)),x90614)))+P1(f836(x90611,f836(f836(f74(a1),x90612),f836(f836(f75(a1),x90613),x90614))))
% 190.77/190.69 [9212]~P1(f836(f836(f225(a1),f2(a1)),x92123))+~P1(f836(f836(f318(a1),x92122),x92121))+~P1(f836(f836(f225(a1),x92124),x92122))+P1(f836(f836(f318(a1),f370(x92121,x92122,x92123,x92124)),x92121))+P1(f836(f836(f225(a1),f836(f836(f74(a1),x92124),x92123)),x92122))
% 190.77/190.69 [9231]E(f836(f836(f23(a1),f358(x92311,x92312,x92313,x92314)),f359(x92311,x92312,x92313,x92314)),x92314)+~P1(f836(f836(f225(a1),f2(a1)),x92313))+~P1(f836(f836(f224(a1),x92314),x92312))+~P1(f836(f836(f318(a1),f836(f836(f74(a1),x92312),f72(a1))),x92311))+P1(f836(f836(f224(a1),f836(f836(f74(a1),x92314),x92313)),x92312))
% 190.77/190.69 [9259]~P1(f836(f836(f225(a1),f2(a1)),x92592))+~P1(f836(f836(f318(a1),x92593),x92594))+~P1(f836(f836(f225(a1),x92591),x92593))+P1(f836(f836(f318(a1),f371(x92594,x92593,x92592,x92591)),f293(a1,f72(a1),x92592)))+P1(f836(f836(f225(a1),f836(f836(f74(a1),x92591),x92592)),x92593))
% 190.77/190.69 [9350]~P1(f836(f836(f225(a1),f2(a1)),x93503))+~P1(f836(f836(f224(a1),x93504),x93502))+P1(f836(f836(f318(a1),f358(x93501,x93502,x93503,x93504)),x93501))+~P1(f836(f836(f318(a1),f836(f836(f74(a1),x93502),f72(a1))),x93501))+P1(f836(f836(f224(a1),f836(f836(f74(a1),x93504),x93503)),x93502))
% 190.77/190.69 [9398]~P1(f836(f836(f225(a1),f2(a1)),x93982))+~P1(f836(f836(f224(a1),x93981),x93983))+P1(f836(f836(f318(a1),f359(x93984,x93983,x93982,x93981)),f293(a1,f72(a1),x93982)))+~P1(f836(f836(f318(a1),f836(f836(f74(a1),x93983),f72(a1))),x93984))+P1(f836(f836(f224(a1),f836(f836(f74(a1),x93981),x93982)),x93983))
% 190.77/190.69 [9700]~P36(x97001,x97003)+~P26(x97001,x97004)+P36(x97001,f836(f836(f91(f906(f905(x97001,x97001),a895)),x97002),x97003))+~P1(f836(f836(f224(f906(f905(x97001,x97001),a895)),x97002),f836(f241(f906(f905(x97001,x97001),a895),f906(f905(x97001,x97001),a895)),x97004)))+~P1(f836(f836(f224(f906(f905(x97001,x97001),a895)),x97003),f836(f246(f906(f905(x97001,x97001),a895),f906(f905(x97001,x97001),a895)),x97004)))
% 190.77/190.69 [10087]~P18(x100872,x100874,x100873)+E(x100871,f178(f906(x100872,a895)))+~P1(f836(f29(x100872),x100871))+P1(f836(f836(f318(x100872),f836(x100873,x100871)),x100871))+~P1(f836(f836(f318(x100872),f836(f836(x100874,f334(x100871,x100873,x100874,x100872)),f344(x100871,x100873,x100874,x100872))),f836(f836(f299(x100872),f334(x100871,x100873,x100874,x100872)),f836(f836(f299(x100872),f344(x100871,x100873,x100874,x100872)),f178(f906(x100872,a895))))))
% 190.77/190.69 [10012]~P109(x100122)+~P60(x100121)+~P1(f836(f836(f224(f906(x100121,x100122)),x100123),x100124))+P1(f836(f836(f225(f906(x100121,x100122)),x100123),x100124))+~P1(f836(f52(x100121),f836(f836(f8(a895,a895,x100121),a312),f836(f836(f18(x100121,x100122,a895),f836(f836(f8(x100122,f906(x100122,a895),x100121),a314),x100123)),x100124))))
% 190.77/190.69 [9615]~P54(x96151,x96151,x96154)+P1(f836(f836(f318(f905(x96151,x96151)),f836(f836(f242(x96151,x96151),x96152),x96153)),f297(x96151,x96154)))+P1(f836(f836(f318(f905(x96151,x96151)),f836(f836(f242(x96151,x96151),x96153),x96152)),f297(x96151,x96154)))+~P1(f836(f836(f318(f905(x96151,x96151)),f836(f836(f242(x96151,x96151),x96155),x96152)),f297(x96151,x96154)))+~P1(f836(f836(f318(f905(x96151,x96151)),f836(f836(f242(x96151,x96151),x96155),x96153)),f297(x96151,x96154)))
% 190.77/190.69 [5692]E(x56921,f2(a899))+~E(f836(f30(x56922),x56925),x56921)+E(f836(f30(x56922),x56923),f836(a102,x56921))+~E(x56923,f836(f836(f299(x56922),x56924),x56925))+P1(f836(f836(f318(x56922),x56924),x56925))
% 190.77/190.69 [5814]~P62(x58142)+E(x58141,f2(x58142))+E(x58143,f2(x58142))+~E(f836(f836(f281(x58142),x58144),x58143),f836(f836(f281(x58142),x58145),x58141))+E(f836(f836(f75(x58142),x58144),x58141),f836(f836(f75(x58142),x58145),x58143))
% 190.77/190.69 [5815]~P62(x58152)+E(x58151,f2(x58152))+E(x58153,f2(x58152))+~E(f836(f836(f75(x58152),x58154),x58153),f836(f836(f75(x58152),x58155),x58151))+E(f836(f836(f281(x58152),x58154),x58151),f836(f836(f281(x58152),x58155),x58153))
% 190.77/190.69 [5893]~E(f836(f30(x58931),x58935),x58933)+~E(x58935,f178(f906(x58931,a895)))+E(f836(f30(x58931),x58932),f836(a102,x58933))+~E(x58932,f836(f836(f299(x58931),x58934),x58935))+P1(f836(f836(f318(x58931),x58934),x58935))
% 190.77/190.69 [6134]~P112(x61342)+~E(f836(x61343,x61345),f2(x61342))+E(f836(f836(f9(x61341,x61342),x61343),x61344),f2(x61342))+~P1(f836(f29(x61341),x61344))+~P1(f836(f836(f318(x61341),x61345),x61344))
% 190.77/190.69 [6518]~P108(x65183)+E(x65181,x65182)+~E(f836(f292(x65183,x65184),x65181),f836(f292(x65183,x65185),x65182))+~P1(f836(f836(f225(x65183),x65185),x65182))+~P1(f836(f836(f225(x65183),x65184),x65181))
% 190.77/190.69 [6519]~P108(x65193)+E(x65191,x65192)+~E(f836(f292(x65193,x65191),x65194),f836(f292(x65193,x65192),x65195))+~P1(f836(f836(f225(x65193),x65192),x65195))+~P1(f836(f836(f225(x65193),x65191),x65194))
% 190.77/190.69 [7601]~P108(x76011)+~P13(x76011,f836(f836(f124(x76011),x76014),x76015))+~P1(f836(f836(f318(x76011),x76013),f836(f162(x76011),x76015)))+~P1(f836(f836(f318(x76011),x76012),f836(f162(x76011),x76014)))+P1(f836(f836(f224(x76011),x76012),x76013))
% 190.77/190.69 [8699]~P109(x86991)+~P1(f836(f836(f225(f906(x86991,a895)),f293(x86991,x86995,x86992)),f293(x86991,x86994,x86993)))+~P1(f836(f836(f224(x86991),x86995),x86992))+P1(f836(f836(f225(x86991),x86992),x86993))+P1(f836(f836(f225(x86991),x86994),x86995))
% 190.77/190.69 [10130]~P17(x101302,x101305,x101303)+E(x101301,f178(f906(x101302,a895)))+~E(f836(f836(x101305,f836(x101304,f423(x101301,x101304,x101303,x101305,x101302))),f836(x101304,f431(x101301,x101304,x101303,x101305,x101302))),f836(x101304,f836(f836(x101305,f423(x101301,x101304,x101303,x101305,x101302)),f431(x101301,x101304,x101303,x101305,x101302))))+E(f836(x101303,f836(f300(x101302,x101302,x101304),x101301)),f836(x101304,f836(x101303,x101301)))+~P1(f836(f29(x101302),x101301))
% 190.77/190.69 [6515]~P18(x65152,x65155,x65153)+E(x65151,f178(f906(x65152,a895)))+~P1(f836(f29(x65152),x65151))+E(f836(x65153,f836(f836(f299(x65152),x65154),x65151)),f836(f836(x65155,x65154),f836(x65153,x65151)))+P1(f836(f836(f318(x65152),x65154),x65151))
% 190.77/190.69 [7362]~P17(x73622,x73623,x73624)+E(f836(f836(x73623,f836(x73624,x73621)),f836(x73624,x73625)),f836(x73624,x73625))+E(x73621,f178(f906(x73622,a895)))+~P1(f836(f29(x73622),x73625))+~P1(f836(f836(f224(f906(x73622,a895)),x73621),x73625))
% 190.77/190.69 [7739]~P18(x77394,x77395,x77391)+E(f836(x77391,x77392),x77393)+~P1(f836(f29(x77394),x77392))+~E(f836(f836(f23(f906(x77394,a895)),x77392),f836(f836(f299(x77394),x77393),f178(f906(x77394,a895)))),f178(f906(x77394,a895)))+~P1(f836(f836(f318(x77394),x77393),x77392))
% 190.77/190.69 [8620]~P74(x86201)+~P121(x86201)+~P1(f836(f29(x86202),x86205))+P1(f836(f836(f277(x86201),f836(f836(f9(x86202,x86201),x86203),x86204)),f836(f836(f9(x86202,x86201),x86203),x86205)))+~P1(f836(f836(f224(f906(x86202,a895)),x86204),x86205))
% 190.77/190.69 [8669]E(x86691,x86692)+~P8(x86693,x86694,x86695)+E(f836(f836(f92(f906(x86693,a895)),x86691),x86692),f178(f906(x86693,a895)))+~P1(f836(f836(f318(f906(x86693,a895)),x86692),f836(f836(f56(x86693),x86694),x86695)))+~P1(f836(f836(f318(f906(x86693,a895)),x86691),f836(f836(f56(x86693),x86694),x86695)))
% 190.77/190.69 [9481]~P74(x94812)+~E(f836(x94813,f339(x94813,x94814,x94815,x94811,x94812)),f72(x94812))+E(f836(f836(f9(x94811,x94812),x94813),x94814),f836(f836(f9(x94811,x94812),x94813),x94815))+~P1(f836(f29(x94811),x94815))+~P1(f836(f836(f224(f906(x94811,a895)),x94814),x94815))
% 190.77/190.69 [9482]~P74(x94822)+~E(f836(x94823,f340(x94823,x94824,x94825,x94821,x94822)),f72(x94822))+E(f836(f836(f9(x94821,x94822),x94823),x94824),f836(f836(f9(x94821,x94822),x94823),x94825))+~P1(f836(f29(x94821),x94825))+~P1(f836(f836(f224(f906(x94821,a895)),x94824),x94825))
% 190.77/190.69 [9483]~P73(x94832)+~E(f836(x94833,f412(x94833,x94834,x94835,x94831,x94832)),f2(x94832))+E(f836(f836(f6(x94831,x94832),x94833),x94834),f836(f836(f6(x94831,x94832),x94833),x94835))+~P1(f836(f29(x94831),x94835))+~P1(f836(f836(f224(f906(x94831,a895)),x94834),x94835))
% 190.77/190.69 [9484]~P73(x94842)+~E(f836(x94843,f414(x94843,x94844,x94845,x94841,x94842)),f2(x94842))+E(f836(f836(f6(x94841,x94842),x94843),x94844),f836(f836(f6(x94841,x94842),x94843),x94845))+~P1(f836(f29(x94841),x94845))+~P1(f836(f836(f224(f906(x94841,a895)),x94844),x94845))
% 190.77/190.69 [9965]~P88(x99651)+~P1(f836(f29(x99652),x99655))+~P1(f836(f836(f224(x99651),f2(x99651)),f836(x99653,f400(x99653,x99654,x99655,x99652,x99651))))+P1(f836(f836(f224(x99651),f836(f836(f6(x99652,x99651),x99653),x99654)),f836(f836(f6(x99652,x99651),x99653),x99655)))+~P1(f836(f836(f224(f906(x99652,a895)),x99654),x99655))
% 190.77/190.69 [7598]E(x75981,f2(a899))+P1(f836(x75982,x75983))+~E(x75984,f836(f836(f74(a899),f836(f836(f75(a899),x75981),x75983)),x75985))+~P1(f836(f836(f225(a899),x75985),x75981))+~P1(f836(x75982,f836(f836(f31(a899),x75984),x75981)))
% 190.77/190.69 [7677]E(x76771,f2(a899))+P1(f836(x76772,x76773))+~P1(f836(x76772,f41(a899,x76774,x76771)))+~E(x76774,f836(f836(f74(a899),f836(f836(f75(a899),x76771),x76775)),x76773))+~P1(f836(f836(f225(a899),x76773),x76771))
% 190.77/190.69 [7971]~P62(x79713)+E(f836(x79711,x79712),f2(x79713))+~P1(f836(f29(x79714),x79715))+E(f836(f836(f9(x79714,x79713),x79711),f836(f836(f23(f906(x79714,a895)),x79715),f836(f836(f299(x79714),x79712),f178(f906(x79714,a895))))),f836(f836(f9(x79714,x79713),x79711),x79715))+P1(f836(f836(f318(x79714),x79712),x79715))
% 190.77/190.69 [8369]~P74(x83691)+~P1(f836(f29(x83692),x83695))+~P1(f836(f29(x83692),x83694))+~E(f836(f836(f92(f906(x83692,a895)),x83694),x83695),f178(f906(x83692,a895)))+E(f836(f836(f75(x83691),f836(f836(f9(x83692,x83691),x83693),x83694)),f836(f836(f9(x83692,x83691),x83693),x83695)),f836(f836(f9(x83692,x83691),x83693),f836(f836(f91(f906(x83692,a895)),x83694),x83695)))
% 190.77/190.69 [8370]~P73(x83701)+~P1(f836(f29(x83702),x83705))+~P1(f836(f29(x83702),x83704))+~E(f836(f836(f92(f906(x83702,a895)),x83704),x83705),f178(f906(x83702,a895)))+E(f836(f836(f74(x83701),f836(f836(f6(x83702,x83701),x83703),x83704)),f836(f836(f6(x83702,x83701),x83703),x83705)),f836(f836(f6(x83702,x83701),x83703),f836(f836(f91(f906(x83702,a895)),x83704),x83705)))
% 190.77/190.69 [8469]~P62(x84693)+E(f836(x84691,x84692),f2(x84693))+~P1(f836(f29(x84694),x84695))+E(f836(f836(f9(x84694,x84693),x84691),f836(f836(f23(f906(x84694,a895)),x84695),f836(f836(f299(x84694),x84692),f178(f906(x84694,a895))))),f836(f836(f281(x84693),f836(f836(f9(x84694,x84693),x84691),x84695)),f836(x84691,x84692)))+~P1(f836(f836(f318(x84694),x84692),x84695))
% 190.77/190.69 [9189]~P8(x91891,x91895,x91894)+~E(f836(f836(f56(x91891),f836(f836(f299(x91891),x91892),f178(f906(x91891,a895)))),x91894),f836(f836(f56(x91891),f836(f836(f299(x91891),x91893),f178(f906(x91891,a895)))),x91894))+~P1(f836(f836(f318(x91891),x91893),x91895))+~P1(f836(f836(f318(x91891),x91892),x91895))+P1(f836(f836(f318(f905(x91891,x91891)),f836(f836(f242(x91891,x91891),x91892),x91893)),x91894))
% 190.77/190.69 [9211]~P8(x92111,x92115,x92113)+E(f836(f836(f56(x92111),f836(f836(f299(x92111),x92112),f178(f906(x92111,a895)))),x92113),f836(f836(f56(x92111),f836(f836(f299(x92111),x92114),f178(f906(x92111,a895)))),x92113))+~P1(f836(f836(f318(x92111),x92114),x92115))+~P1(f836(f836(f318(x92111),x92112),x92115))+~P1(f836(f836(f318(f905(x92111,x92111)),f836(f836(f242(x92111,x92111),x92112),x92114)),x92113))
% 190.77/190.69 [9510]~P74(x95101)+~P1(f836(f29(x95102),x95105))+~P1(f836(f29(x95102),x95104))+~E(f836(f836(f92(f906(x95102,a895)),x95104),x95105),f178(f906(x95102,a895)))+E(f836(f836(f75(x95101),f836(f836(f836(f60(x95101,x95102,f75(x95101)),x95103),f72(x95101)),x95104)),f836(f836(f836(f60(x95101,x95102,f75(x95101)),x95103),f72(x95101)),x95105)),f836(f836(f836(f60(x95101,x95102,f75(x95101)),x95103),f72(x95101)),f836(f836(f91(f906(x95102,a895)),x95104),x95105)))
% 190.77/190.69 [9521]~P74(x95211)+~E(f836(x95213,f390(x95213,x95215,x95214,x95212,x95211)),f72(x95211))+~P1(f836(f29(x95212),x95214))+~P1(f836(f29(x95212),x95215))+E(f836(f836(f75(x95211),f836(f836(f9(x95212,x95211),x95213),x95214)),f836(f836(f9(x95212,x95211),x95213),x95215)),f836(f836(f9(x95212,x95211),x95213),f836(f836(f91(f906(x95212,a895)),x95214),x95215)))
% 190.77/190.69 [9522]~P74(x95221)+~E(f836(x95223,f392(x95223,x95225,x95224,x95222,x95221)),f72(x95221))+~P1(f836(f29(x95222),x95224))+~P1(f836(f29(x95222),x95225))+E(f836(f836(f75(x95221),f836(f836(f9(x95222,x95221),x95223),x95224)),f836(f836(f9(x95222,x95221),x95223),x95225)),f836(f836(f9(x95222,x95221),x95223),f836(f836(f91(f906(x95222,a895)),x95224),x95225)))
% 190.77/190.69 [9523]~P73(x95231)+~E(f836(x95233,f403(x95233,x95235,x95234,x95232,x95231)),f2(x95231))+~P1(f836(f29(x95232),x95234))+~P1(f836(f29(x95232),x95235))+E(f836(f836(f74(x95231),f836(f836(f6(x95232,x95231),x95233),x95234)),f836(f836(f6(x95232,x95231),x95233),x95235)),f836(f836(f6(x95232,x95231),x95233),f836(f836(f91(f906(x95232,a895)),x95234),x95235)))
% 190.77/190.69 [9524]~P73(x95241)+~E(f836(x95243,f405(x95243,x95245,x95244,x95242,x95241)),f2(x95241))+~P1(f836(f29(x95242),x95244))+~P1(f836(f29(x95242),x95245))+E(f836(f836(f74(x95241),f836(f836(f6(x95242,x95241),x95243),x95244)),f836(f836(f6(x95242,x95241),x95243),x95245)),f836(f836(f6(x95242,x95241),x95243),f836(f836(f91(f906(x95242,a895)),x95244),x95245)))
% 190.77/190.69 [9743]~P74(x97431)+~E(f836(x97433,f391(x97433,x97435,x97434,x97432,x97431)),f72(x97431))+~P1(f836(f29(x97432),x97434))+~P1(f836(f29(x97432),x97435))+E(f836(f836(f75(x97431),f836(f836(f836(f60(x97431,x97432,f75(x97431)),x97433),f72(x97431)),x97434)),f836(f836(f836(f60(x97431,x97432,f75(x97431)),x97433),f72(x97431)),x97435)),f836(f836(f836(f60(x97431,x97432,f75(x97431)),x97433),f72(x97431)),f836(f836(f91(f906(x97432,a895)),x97434),x97435)))
% 190.77/190.69 [9853]~P74(x98532)+E(f836(f836(f9(x98531,x98532),x98533),x98534),f836(f836(f9(x98531,x98532),x98533),x98535))+~P1(f836(f29(x98531),x98535))+~P1(f836(f836(f224(f906(x98531,a895)),x98534),x98535))+P1(f836(f836(f318(x98531),f339(x98533,x98534,x98535,x98531,x98532)),f836(f836(f23(f906(x98531,a895)),x98535),x98534)))
% 190.77/190.69 [9854]~P74(x98542)+E(f836(f836(f9(x98541,x98542),x98543),x98544),f836(f836(f9(x98541,x98542),x98543),x98545))+~P1(f836(f29(x98541),x98545))+~P1(f836(f836(f224(f906(x98541,a895)),x98544),x98545))+P1(f836(f836(f318(x98541),f340(x98543,x98544,x98545,x98541,x98542)),f836(f836(f23(f906(x98541,a895)),x98545),x98544)))
% 190.77/190.69 [9855]~P73(x98552)+E(f836(f836(f6(x98551,x98552),x98553),x98554),f836(f836(f6(x98551,x98552),x98553),x98555))+~P1(f836(f29(x98551),x98555))+~P1(f836(f836(f224(f906(x98551,a895)),x98554),x98555))+P1(f836(f836(f318(x98551),f412(x98553,x98554,x98555,x98551,x98552)),f836(f836(f23(f906(x98551,a895)),x98555),x98554)))
% 190.77/190.69 [9856]~P73(x98562)+E(f836(f836(f6(x98561,x98562),x98563),x98564),f836(f836(f6(x98561,x98562),x98563),x98565))+~P1(f836(f29(x98561),x98565))+~P1(f836(f836(f224(f906(x98561,a895)),x98564),x98565))+P1(f836(f836(f318(x98561),f414(x98563,x98564,x98565,x98561,x98562)),f836(f836(f23(f906(x98561,a895)),x98565),x98564)))
% 190.77/190.69 [9874]~P74(x98741)+~P1(f836(f29(x98742),x98744))+~P1(f836(f29(x98742),x98745))+E(f836(f836(f75(x98741),f836(f836(f9(x98742,x98741),x98743),x98744)),f836(f836(f9(x98742,x98741),x98743),x98745)),f836(f836(f9(x98742,x98741),x98743),f836(f836(f91(f906(x98742,a895)),x98744),x98745)))+P1(f836(f836(f318(x98742),f390(x98743,x98745,x98744,x98742,x98741)),f836(f836(f92(f906(x98742,a895)),x98744),x98745)))
% 190.77/190.69 [9875]~P74(x98751)+~P1(f836(f29(x98752),x98754))+~P1(f836(f29(x98752),x98755))+E(f836(f836(f75(x98751),f836(f836(f9(x98752,x98751),x98753),x98754)),f836(f836(f9(x98752,x98751),x98753),x98755)),f836(f836(f9(x98752,x98751),x98753),f836(f836(f91(f906(x98752,a895)),x98754),x98755)))+P1(f836(f836(f318(x98752),f392(x98753,x98755,x98754,x98752,x98751)),f836(f836(f92(f906(x98752,a895)),x98754),x98755)))
% 190.77/190.69 [9876]~P73(x98761)+~P1(f836(f29(x98762),x98764))+~P1(f836(f29(x98762),x98765))+E(f836(f836(f74(x98761),f836(f836(f6(x98762,x98761),x98763),x98764)),f836(f836(f6(x98762,x98761),x98763),x98765)),f836(f836(f6(x98762,x98761),x98763),f836(f836(f91(f906(x98762,a895)),x98764),x98765)))+P1(f836(f836(f318(x98762),f403(x98763,x98765,x98764,x98762,x98761)),f836(f836(f92(f906(x98762,a895)),x98764),x98765)))
% 190.77/190.69 [9877]~P73(x98771)+~P1(f836(f29(x98772),x98774))+~P1(f836(f29(x98772),x98775))+E(f836(f836(f74(x98771),f836(f836(f6(x98772,x98771),x98773),x98774)),f836(f836(f6(x98772,x98771),x98773),x98775)),f836(f836(f6(x98772,x98771),x98773),f836(f836(f91(f906(x98772,a895)),x98774),x98775)))+P1(f836(f836(f318(x98772),f405(x98773,x98775,x98774,x98772,x98771)),f836(f836(f92(f906(x98772,a895)),x98774),x98775)))
% 190.77/190.69 [9883]~P88(x98835)+~P1(f836(f29(x98831),x98834))+P1(f836(f836(f224(x98835),f836(f836(f6(x98831,x98835),x98832),x98833)),f836(f836(f6(x98831,x98835),x98832),x98834)))+~P1(f836(f836(f224(f906(x98831,a895)),x98833),x98834))+P1(f836(f836(f318(x98831),f400(x98832,x98833,x98834,x98831,x98835)),f836(f836(f23(f906(x98831,a895)),x98834),x98833)))
% 190.77/190.69 [9927]~P74(x99271)+~P1(f836(f29(x99272),x99274))+~P1(f836(f29(x99272),x99275))+E(f836(f836(f75(x99271),f836(f836(f836(f60(x99271,x99272,f75(x99271)),x99273),f72(x99271)),x99274)),f836(f836(f836(f60(x99271,x99272,f75(x99271)),x99273),f72(x99271)),x99275)),f836(f836(f836(f60(x99271,x99272,f75(x99271)),x99273),f72(x99271)),f836(f836(f91(f906(x99272,a895)),x99274),x99275)))+P1(f836(f836(f318(x99272),f391(x99273,x99275,x99274,x99272,x99271)),f836(f836(f92(f906(x99272,a895)),x99274),x99275)))
% 190.77/190.69 [8878]~P18(x88781,x88784,x88785)+~P1(f836(f29(x88781),x88782))+E(f836(f836(f23(f906(x88781,a895)),x88782),f836(f836(f299(x88781),x88783),f178(f906(x88781,a895)))),f178(f906(x88781,a895)))+~P1(f836(f836(f318(x88781),x88783),x88782))+E(f836(f836(x88784,x88783),f836(x88785,f836(f836(f23(f906(x88781,a895)),x88782),f836(f836(f299(x88781),x88783),f178(f906(x88781,a895)))))),f836(x88785,x88782))
% 190.77/190.69 [8956]~P18(x89561,x89564,x89565)+~P1(f836(f29(x89561),x89563))+~P1(f836(f29(x89561),x89562))+E(f836(f836(f92(f906(x89561,a895)),x89562),x89563),f178(f906(x89561,a895)))+E(f836(f836(x89564,f836(x89565,f836(f836(f91(f906(x89561,a895)),x89562),x89563))),f836(x89565,f836(f836(f92(f906(x89561,a895)),x89562),x89563))),f836(f836(x89564,f836(x89565,x89562)),f836(x89565,x89563)))
% 190.77/190.69 [9526]~P1(f836(f836(f224(a1),x95264),f2(a1)))+~P1(f836(f836(f225(a1),x95263),x95265))+P1(f836(f836(f224(a1),x95261),x95262))+~P1(f836(f836(f225(a1),x95263),x95264))+~P1(f836(f836(f224(a1),f836(f836(f74(a1),f836(f836(f75(a1),x95263),x95262)),x95265)),f836(f836(f74(a1),f836(f836(f75(a1),x95263),x95261)),x95264)))
% 190.77/190.69 [9528]~P1(f836(f836(f224(a1),f2(a1)),x95285))+P1(f836(f836(f224(a1),x95281),x95282))+~P1(f836(f836(f225(a1),x95283),x95284))+~P1(f836(f836(f225(a1),x95285),x95284))+~P1(f836(f836(f224(a1),f836(f836(f74(a1),f836(f836(f75(a1),x95284),x95281)),x95285)),f836(f836(f74(a1),f836(f836(f75(a1),x95284),x95282)),x95283)))
% 190.77/190.69 [9652]~P62(x96525)+E(f836(x96521,f380(x96521,x96522,x96523,x96524,x96525)),f2(x96525))+~P1(f836(f29(x96524),x96523))+~P1(f836(f29(x96524),x96522))+E(f836(f836(f281(x96525),f836(f836(f75(x96525),f836(f836(f9(x96524,x96525),x96521),x96523)),f836(f836(f9(x96524,x96525),x96521),x96522))),f836(f836(f9(x96524,x96525),x96521),f836(f836(f92(f906(x96524,a895)),x96523),x96522))),f836(f836(f9(x96524,x96525),x96521),f836(f836(f91(f906(x96524,a895)),x96523),x96522)))
% 190.77/190.69 [9919]~P62(x99191)+~P1(f836(f29(x99192),x99194))+~P1(f836(f29(x99192),x99195))+E(f836(f836(f281(x99191),f836(f836(f75(x99191),f836(f836(f9(x99192,x99191),x99193),x99194)),f836(f836(f9(x99192,x99191),x99193),x99195))),f836(f836(f9(x99192,x99191),x99193),f836(f836(f92(f906(x99192,a895)),x99194),x99195))),f836(f836(f9(x99192,x99191),x99193),f836(f836(f91(f906(x99192,a895)),x99194),x99195)))+P1(f836(f836(f318(x99192),f380(x99193,x99195,x99194,x99192,x99191)),f836(f836(f92(f906(x99192,a895)),x99194),x99195)))
% 190.77/190.69 [9230]E(f836(f836(f124(x92301),x92302),x92303),f836(f836(f124(x92301),x92304),x92305))+~E(f836(f836(f165(x92301),f836(f179(f900(x92301)),x92304)),x92302),x92304)+~E(f836(f836(f165(x92301),f836(f179(f900(x92301)),x92302)),x92304),x92302)+~E(x92305,f836(f836(f124(x92301),f836(f836(f128(x92301),f836(f179(f900(x92301)),x92304)),x92302)),x92303))+~E(f836(f836(f124(x92301),f836(f836(f128(x92301),f836(f179(f900(x92301)),x92302)),x92304)),x92305),x92303)
% 190.77/190.69 [9650]~P108(x96502)+E(f836(f836(f138(x96501,x96502,x96503),x96504),f160(x96501,x96504,x96505)),x96505)+~P13(x96502,f836(f836(f144(x96501,x96502),x96503),x96505))+~P1(f836(f836(f318(x96501),x96504),f836(f162(x96501),x96505)))+~E(f836(f131(x96501),f836(f126(x96501,f836(f836(f8(x96502,a895,x96501),f836(a314,f836(x96503,x96504))),x96503)),x96505)),x96504)
% 190.77/190.69 [9983]~P71(x99831)+~P1(f836(f61(x99831,x99831,f75(x99831),x99832,x99833),x99835))+~P1(f836(f836(f318(x99831),x99834),x99833))+P1(f836(f836(f318(x99831),x99832),x99833))+P1(f836(f61(x99831,x99831,f75(x99831),x99834,f836(f836(f299(x99831),x99832),f836(f836(f23(f906(x99831,a895)),x99833),f836(f836(f299(x99831),x99834),f178(f906(x99831,a895)))))),x99835))
% 190.77/190.69 [7370]E(x73701,x73702)+~P24(x73704,x73705,x73703,x73706)+~E(f836(x73703,x73701),f836(x73703,x73702))+~P1(f836(f836(f318(x73704),x73702),x73706))+~P1(f836(f836(f318(x73704),x73701),x73706))
% 190.77/190.69 [6612]~P146(x66124)+E(x66121,x66122)+~E(x66125,x66126)+E(x66123,f2(x66124))+~E(f836(f836(f74(x66124),x66125),f836(f836(f75(x66124),x66123),x66121)),f836(f836(f74(x66124),x66126),f836(f836(f75(x66124),x66123),x66122)))
% 190.77/190.69 [7657]~P108(x76571)+~P5(x76571)+~P1(f836(f836(f225(x76571),x76572),f836(x76575,x76576)))+~P1(f836(f836(f318(x76573),x76576),x76574))+P1(f836(f836(f225(x76571),x76572),f836(f836(f35(x76573,x76571),x76574),x76575)))
% 190.77/190.69 [9979]~P24(x99792,x99791,x99793,x99794)+~P24(x99791,x99792,x99796,x99795)+P25(x99791,x99792,f804(x99793,x99794,x99795,x99796,x99792,x99791),x99795,x99794)+~P1(f836(f836(f224(f906(x99792,a895)),f836(f300(x99791,x99792,x99796),x99795)),x99794))+~P1(f836(f836(f224(f906(x99791,a895)),f836(f300(x99792,x99791,x99793),x99794)),x99795))
% 190.77/190.69 [8338]~P108(x83381)+~P5(x83381)+~P1(f836(f836(f225(x83381),f836(x83384,x83386)),x83385))+~P1(f836(f836(f318(x83382),x83386),x83383))+P1(f836(f836(f225(x83381),f836(f836(f36(x83382,x83381),x83383),x83384)),x83385))
% 190.77/190.69 [8592]~P19(x85922,x85925,x85926,x85921)+~P1(f836(f29(x85922),x85924))+~P1(f836(f29(x85922),x85923))+~E(f836(f836(f92(f906(x85922,a895)),x85923),x85924),f178(f906(x85922,a895)))+E(f836(x85921,f836(f836(f91(f906(x85922,a895)),x85923),x85924)),f836(f67(x85925,x85925,x85925,f836(x85921,x85923)),f836(x85921,x85924)))
% 190.77/190.69 [10190]~P74(x101901)+~E(f791(x101904,x101905,x101903,x101906,x101902,x101901),f792(x101904,x101905,x101903,x101906,x101902,x101901))+~P1(f836(f29(x101902),x101906))+E(f836(f836(f836(f60(x101901,x101902,f75(x101901)),f836(f836(f8(f906(x101903,a895),x101901,x101902),f836(f836(f60(x101901,x101903,f75(x101901)),x101904),f72(x101901))),x101905)),f72(x101901)),x101906),f836(f836(f836(f60(x101901,x101903,f75(x101901)),x101904),f72(x101901)),f836(f836(f35(x101902,f906(x101903,a895)),x101906),x101905)))+P1(f836(f836(f318(x101902),f790(x101904,x101905,x101903,x101906,x101902,x101901)),x101906))
% 190.77/190.69 [10220]~P74(x102201)+~E(f791(x102204,x102205,x102203,x102206,x102202,x102201),f792(x102204,x102205,x102203,x102206,x102202,x102201))+~P1(f836(f29(x102202),x102206))+E(f836(f836(f836(f60(x102201,x102202,f75(x102201)),f836(f836(f8(f906(x102203,a895),x102201,x102202),f836(f836(f60(x102201,x102203,f75(x102201)),x102204),f72(x102201))),x102205)),f72(x102201)),x102206),f836(f836(f836(f60(x102201,x102203,f75(x102201)),x102204),f72(x102201)),f836(f836(f35(x102202,f906(x102203,a895)),x102206),x102205)))+~P1(f836(f29(x102203),f836(x102205,f790(x102204,x102205,x102203,x102206,x102202,x102201))))
% 190.77/190.69 [10223]~P74(x102231)+~P1(f836(f29(x102232),x102236))+E(f836(f836(f836(f60(x102231,x102232,f75(x102231)),f836(f836(f8(f906(x102233,a895),x102231,x102232),f836(f836(f60(x102231,x102233,f75(x102231)),x102234),f72(x102231))),x102235)),f72(x102231)),x102236),f836(f836(f836(f60(x102231,x102233,f75(x102231)),x102234),f72(x102231)),f836(f836(f35(x102232,f906(x102233,a895)),x102236),x102235)))+P1(f836(f836(f318(x102232),f790(x102234,x102235,x102233,x102236,x102232,x102231)),x102236))+P1(f836(f836(f318(x102232),f792(x102234,x102235,x102233,x102236,x102232,x102231)),x102236))
% 190.77/190.69 [10224]~P74(x102241)+~P1(f836(f29(x102242),x102246))+E(f836(f836(f836(f60(x102241,x102242,f75(x102241)),f836(f836(f8(f906(x102243,a895),x102241,x102242),f836(f836(f60(x102241,x102243,f75(x102241)),x102244),f72(x102241))),x102245)),f72(x102241)),x102246),f836(f836(f836(f60(x102241,x102243,f75(x102241)),x102244),f72(x102241)),f836(f836(f35(x102242,f906(x102243,a895)),x102246),x102245)))+P1(f836(f836(f318(x102242),f790(x102244,x102245,x102243,x102246,x102242,x102241)),x102246))+P1(f836(f836(f318(x102242),f791(x102244,x102245,x102243,x102246,x102242,x102241)),x102246))
% 190.77/190.69 [10243]~P74(x102431)+~P1(f836(f29(x102432),x102436))+E(f836(f836(f836(f60(x102431,x102432,f75(x102431)),f836(f836(f8(f906(x102433,a895),x102431,x102432),f836(f836(f60(x102431,x102433,f75(x102431)),x102434),f72(x102431))),x102435)),f72(x102431)),x102436),f836(f836(f836(f60(x102431,x102433,f75(x102431)),x102434),f72(x102431)),f836(f836(f35(x102432,f906(x102433,a895)),x102436),x102435)))+P1(f836(f836(f318(x102432),f792(x102434,x102435,x102433,x102436,x102432,x102431)),x102436))+~P1(f836(f29(x102433),f836(x102435,f790(x102434,x102435,x102433,x102436,x102432,x102431))))
% 190.77/190.69 [10244]~P74(x102441)+~P1(f836(f29(x102442),x102446))+E(f836(f836(f836(f60(x102441,x102442,f75(x102441)),f836(f836(f8(f906(x102443,a895),x102441,x102442),f836(f836(f60(x102441,x102443,f75(x102441)),x102444),f72(x102441))),x102445)),f72(x102441)),x102446),f836(f836(f836(f60(x102441,x102443,f75(x102441)),x102444),f72(x102441)),f836(f836(f35(x102442,f906(x102443,a895)),x102446),x102445)))+P1(f836(f836(f318(x102442),f791(x102444,x102445,x102443,x102446,x102442,x102441)),x102446))+~P1(f836(f29(x102443),f836(x102445,f790(x102444,x102445,x102443,x102446,x102442,x102441))))
% 190.77/190.69 [10255]~P74(x102551)+~E(f836(f836(f92(f906(x102553,a895)),f836(x102555,f792(x102554,x102555,x102553,x102556,x102552,x102551))),f836(x102555,f791(x102554,x102555,x102553,x102556,x102552,x102551))),f178(f906(x102553,a895)))+~P1(f836(f29(x102552),x102556))+E(f836(f836(f836(f60(x102551,x102552,f75(x102551)),f836(f836(f8(f906(x102553,a895),x102551,x102552),f836(f836(f60(x102551,x102553,f75(x102551)),x102554),f72(x102551))),x102555)),f72(x102551)),x102556),f836(f836(f836(f60(x102551,x102553,f75(x102551)),x102554),f72(x102551)),f836(f836(f35(x102552,f906(x102553,a895)),x102556),x102555)))+P1(f836(f836(f318(x102552),f790(x102554,x102555,x102553,x102556,x102552,x102551)),x102556))
% 190.77/190.69 [10266]~P74(x102661)+~E(f836(f836(f92(f906(x102663,a895)),f836(x102665,f792(x102664,x102665,x102663,x102666,x102662,x102661))),f836(x102665,f791(x102664,x102665,x102663,x102666,x102662,x102661))),f178(f906(x102663,a895)))+~P1(f836(f29(x102662),x102666))+E(f836(f836(f836(f60(x102661,x102662,f75(x102661)),f836(f836(f8(f906(x102663,a895),x102661,x102662),f836(f836(f60(x102661,x102663,f75(x102661)),x102664),f72(x102661))),x102665)),f72(x102661)),x102666),f836(f836(f836(f60(x102661,x102663,f75(x102661)),x102664),f72(x102661)),f836(f836(f35(x102662,f906(x102663,a895)),x102666),x102665)))+~P1(f836(f29(x102663),f836(x102665,f790(x102664,x102665,x102663,x102666,x102662,x102661))))
% 190.77/190.69 [9320]~P121(x93201)+~P118(x93201)+~P1(f836(f836(f277(x93201),x93202),x93205))+~P1(f836(f836(f277(x93201),x93202),f836(f836(f74(x93201),x93203),x93206)))+P1(f836(f836(f277(x93201),x93202),f836(f836(f74(x93201),f836(f836(f23(x93201),x93203),f836(f836(f75(x93201),x93204),x93205))),x93206)))
% 190.77/190.69 [9515]~P121(x95151)+~P118(x95151)+~P1(f836(f836(f277(x95151),x95152),x95155))+P1(f836(f836(f277(x95151),x95152),f836(f836(f74(x95151),x95153),x95154)))+~P1(f836(f836(f277(x95151),x95152),f836(f836(f74(x95151),f836(f836(f23(x95151),x95153),f836(f836(f75(x95151),x95156),x95155))),x95154)))
% 190.77/190.69 [8926]E(x89261,x89262)+~P56(x89264,x89265,x89266,x89263,x89267)+~E(f836(x89263,x89261),f836(x89263,x89262))+~P1(f836(f836(f318(x89265),x89262),x89267))+~P1(f836(f836(f318(x89265),x89261),x89267))
% 190.77/190.69 [10231]~P1(f836(x102312,x102314))+~E(x102315,f836(f126(x102311,x102312),x102317))+E(f836(f126(x102311,x102312),x102313),f836(f836(f141(x102311),x102314),x102315))+~E(x102313,f836(f836(f124(x102311),x102316),f836(f836(f141(x102311),x102314),x102317)))+P1(f836(x102312,f724(x102315,x102314,x102313,x102312,x102311,x102316,x102317)))
% 190.77/190.69 [10232]~P1(f836(x102324,x102322))+~E(x102323,f836(f126(x102321,x102324),x102327))+E(f836(f836(f141(x102321),x102322),x102323),f836(f126(x102321,x102324),x102325))+~E(x102325,f836(f836(f124(x102321),x102326),f836(f836(f141(x102321),x102322),x102327)))+P1(f836(x102324,f726(x102325,x102324,x102323,x102322,x102321,x102326,x102327)))
% 190.77/190.69 [10282]~P1(f836(x102822,x102824))+~E(x102825,f836(f126(x102821,x102822),x102827))+E(f836(f126(x102821,x102822),x102823),f836(f836(f141(x102821),x102824),x102825))+~E(x102823,f836(f836(f124(x102821),x102826),f836(f836(f141(x102821),x102824),x102827)))+P1(f836(f836(f318(x102821),f724(x102825,x102824,x102823,x102822,x102821,x102826,x102827)),f836(f162(x102821),x102826)))
% 190.77/190.69 [10283]~P1(f836(x102834,x102832))+~E(x102833,f836(f126(x102831,x102834),x102837))+E(f836(f836(f141(x102831),x102832),x102833),f836(f126(x102831,x102834),x102835))+~E(x102835,f836(f836(f124(x102831),x102836),f836(f836(f141(x102831),x102832),x102837)))+P1(f836(f836(f318(x102831),f726(x102835,x102834,x102833,x102832,x102831,x102836,x102837)),f836(f162(x102831),x102836)))
% 190.77/190.69 [10287]~P8(x102871,x102877,x102876)+~P11(x102871,f906(x102875,a895),x102876,x102874)+P1(f836(f836(f318(x102871),f440(x102872,x102873,x102874,x102875,x102876,x102877,x102871)),x102877))+~P1(f836(f836(f318(f906(x102871,a895)),x102873),f836(f836(f56(x102871),x102877),x102876)))+P1(f836(f836(f318(f906(x102875,a895)),f836(f836(f35(x102871,f906(x102875,a895)),x102873),x102874)),x102872))
% 190.77/190.69 [10342]~P8(x103422,x103426,x103427)+~P11(x103422,f906(x103421,a895),x103427,x103424)+~P1(f836(f836(f318(f906(x103422,a895)),x103423),f836(f836(f56(x103422),x103426),x103427)))+~P1(f836(f836(f318(f906(x103421,a895)),f836(x103424,f440(x103425,x103423,x103424,x103421,x103427,x103426,x103422))),x103425))+P1(f836(f836(f318(f906(x103421,a895)),f836(f836(f35(x103422,f906(x103421,a895)),x103423),x103424)),x103425))
% 190.77/190.69 [8511]~P74(x85112)+~P24(x85111,x85115,x85118,x85114)+~E(x85113,f836(f67(x85115,x85112,x85111,x85116),x85118))+~E(x85117,f836(f300(x85111,x85115,x85118),x85114))+E(f836(f836(f9(x85111,x85112),x85113),x85114),f836(f836(f9(x85115,x85112),x85116),x85117))
% 190.77/190.69 [10346]~P74(x103462)+~P24(x103465,x103461,x103468,x103467)+~E(f836(x103466,f531(x103463,x103466,x103464,x103467,x103468,x103461,x103465,x103462)),f836(f836(f67(x103461,x103462,x103465,x103463),x103468),f531(x103463,x103466,x103464,x103467,x103468,x103461,x103465,x103462)))+~E(x103464,f836(f300(x103465,x103461,x103468),x103467))+E(f836(f836(f9(x103461,x103462),x103463),x103464),f836(f836(f9(x103465,x103462),x103466),x103467))
% 190.77/190.69 [10349]~P74(x103492)+~P24(x103491,x103495,x103498,x103494)+~E(x103497,f836(f300(x103491,x103495,x103498),x103494))+E(f836(f836(f9(x103491,x103492),x103493),x103494),f836(f836(f9(x103495,x103492),x103496),x103497))+P1(f836(f836(f318(x103491),f531(x103496,x103493,x103497,x103494,x103498,x103495,x103491,x103492)),x103494))
% 190.77/190.69 [10350]~P73(x103502)+~P24(x103501,x103505,x103508,x103504)+~E(x103507,f836(f300(x103501,x103505,x103508),x103504))+E(f836(f836(f6(x103501,x103502),x103503),x103504),f836(f836(f6(x103505,x103502),x103506),x103507))+P1(f836(f836(f318(x103501),f550(x103506,x103503,x103507,x103504,x103508,x103505,x103501,x103502)),x103504))
% 190.77/190.69 [10355]~P73(x103552)+~P24(x103555,x103551,x103558,x103557)+~E(x103554,f836(f300(x103555,x103551,x103558),x103557))+~E(f836(x103556,f550(x103553,x103556,x103554,x103557,x103558,x103551,x103555,x103552)),f836(x103553,f836(x103558,f550(x103553,x103556,x103554,x103557,x103558,x103551,x103555,x103552))))+E(f836(f836(f6(x103551,x103552),x103553),x103554),f836(f836(f6(x103555,x103552),x103556),x103557))
% 190.77/190.69 [9816]~P23(x98166,x98162,x98165,x98167,x98168,x98161)+~P1(f836(f29(x98162),x98164))+~P1(f836(f29(x98162),x98163))+~E(f836(f836(f92(f906(x98162,a895)),x98163),x98164),f178(f906(x98162,a895)))+E(f836(x98161,f836(f836(f91(f906(x98162,a895)),x98163),x98164)),f836(f836(x98165,f836(x98161,x98163)),f836(x98161,x98164)))
% 190.77/190.69 [10217]~P23(x102178,x102172,x102175,x102177,x102176,x102171)+~E(f836(x102176,f485(x102174,x102173,x102171,x102176,x102177,x102175,x102172)),x102177)+~P1(f836(f29(x102172),x102173))+~P1(f836(f29(x102172),x102174))+E(f836(x102171,f836(f836(f91(f906(x102172,a895)),x102173),x102174)),f836(f836(x102175,f836(x102171,x102173)),f836(x102171,x102174)))
% 190.77/190.69 [10294]~P23(x102948,x102942,x102945,x102947,x102946,x102941)+~P1(f836(f29(x102942),x102943))+~P1(f836(f29(x102942),x102944))+E(f836(x102941,f836(f836(f91(f906(x102942,a895)),x102943),x102944)),f836(f836(x102945,f836(x102941,x102943)),f836(x102941,x102944)))+P1(f836(f836(f318(x102942),f485(x102944,x102943,x102941,x102946,x102947,x102945,x102942)),f836(f836(f92(f906(x102942,a895)),x102943),x102944)))
% 190.77/190.69 [9970]~P8(x99704,x99708,x99705)+~P8(x99701,x99709,x99703)+~P12(x99701,x99704,f906(x99702,a895),x99703,x99705,x99707)+P11(x99701,f906(x99702,a895),x99703,f836(f836(f8(f906(x99704,f906(x99702,a895)),f906(x99702,a895),x99701),f836(f35(x99704,f906(x99702,a895)),f836(f275(x99704,x99704,x99705),f836(f836(f299(x99704),x99706),f178(f906(x99704,a895)))))),x99707))+~P1(f836(f836(f318(x99704),x99706),x99708))
% 190.77/190.69 [5489]~P108(x54893)+~P13(x54893,x54891)+E(x54891,f702(x54892,x54893))+~E(f836(f162(x54893),x54891),x54892)+~P1(f836(f29(x54893),x54892))+~P1(f836(f127(x54893),x54891))
% 190.77/190.69 [7361]P15(x73611,x73612)+~E(f836(x73612,f783(x73612)),f836(x73612,f784(x73612)))+~P1(f836(f836(x73612,f783(x73612)),f783(x73612)))+~P1(f836(f836(x73612,f783(x73612)),f784(x73612)))+~P1(f836(f836(x73612,f784(x73612)),f784(x73612)))+~P1(f836(f836(x73612,x73613),x73613))
% 190.77/190.69 [5115]~P127(x51152)+~P133(x51152)+~P135(x51152)+~P115(x51152)+E(x51151,f2(x51152))+~E(f836(f836(f234(x51152),x51151),x51153),f2(x51152))
% 190.77/190.69 [5116]~P127(x51162)+~P133(x51162)+~P135(x51162)+~P115(x51162)+~E(x51161,f2(a899))+~E(f836(f836(f234(x51162),x51163),x51161),f2(x51162))
% 190.77/190.69 [6594]~P88(x65941)+~E(x65943,f2(x65941))+~E(x65942,f2(x65941))+E(f836(f836(f74(x65941),x65942),x65943),f2(x65941))+~P1(f836(f836(f224(x65941),f2(x65941)),x65943))+~P1(f836(f836(f224(x65941),f2(x65941)),x65942))
% 190.77/190.69 [8994]~E(f836(f241(a899,a899),x89943),f2(a899))+~E(x89941,f836(f836(f74(a899),f836(f836(f75(a899),f836(f241(a899,a899),x89943)),x89942)),f836(f246(a899,a899),x89943)))+P1(f836(f44(x89941,x89942),x89943))+~P1(f836(f836(f224(a899),f836(f246(a899,a899),x89943)),f2(a899)))+P1(f836(f836(f225(a899),f2(a899)),x89942))+~P1(f836(f836(f225(a899),x89942),f836(f246(a899,a899),x89943)))
% 190.77/190.69 [9002]E(x90021,f2(a899))+~E(x90022,f836(f836(f74(a899),f836(f836(f75(a899),f836(f241(a899,a899),x90023)),x90021)),f836(f246(a899,a899),x90023)))+P1(f836(f44(x90022,x90021),x90023))+~P1(f836(f836(f225(a899),f2(a899)),x90021))+~P1(f836(f836(f224(a899),f2(a899)),f836(f246(a899,a899),x90023)))+~P1(f836(f836(f225(a899),f836(f246(a899,a899),x90023)),x90021))
% 190.77/190.69 [9020]~E(f836(f241(a899,a899),x90203),f2(a899))+~E(x90201,f836(f836(f74(a899),f836(f836(f75(a899),f836(f241(a899,a899),x90203)),x90202)),f836(f246(a899,a899),x90203)))+P1(f836(f44(x90201,x90202),x90203))+~P1(f836(f836(f225(a899),f2(a899)),x90202))+~P1(f836(f836(f224(a899),f2(a899)),f836(f246(a899,a899),x90203)))+~P1(f836(f836(f225(a899),f836(f246(a899,a899),x90203)),x90202))
% 190.77/190.69 [6985]~P108(x69852)+E(x69851,f178(f906(x69852,a895)))+E(x69853,f178(f906(x69852,a895)))+~P1(f836(f29(x69852),x69851))+~P1(f836(f29(x69852),x69853))+E(f14(x69852,f836(f836(f91(f906(x69852,a895)),x69853),x69851)),f836(f836(f228(x69852),f14(x69852,x69853)),f14(x69852,x69851)))
% 190.77/190.69 [6986]~P108(x69862)+E(x69861,f178(f906(x69862,a895)))+E(x69863,f178(f906(x69862,a895)))+~P1(f836(f29(x69862),x69861))+~P1(f836(f29(x69862),x69863))+E(f15(x69862,f836(f836(f91(f906(x69862,a895)),x69863),x69861)),f836(f836(f223(x69862),f15(x69862,x69863)),f15(x69862,x69861)))
% 190.77/190.69 [6987]~P99(x69872)+E(x69871,f178(f906(x69872,a895)))+E(x69873,f178(f906(x69872,a895)))+~P1(f836(f29(x69872),x69871))+~P1(f836(f29(x69872),x69873))+E(f13(x69872,f836(f836(f91(f906(x69872,a895)),x69873),x69871)),f836(f836(f91(x69872),f13(x69872,x69873)),f13(x69872,x69871)))
% 190.77/190.69 [6988]~P99(x69882)+E(x69881,f178(f906(x69882,a895)))+E(x69883,f178(f906(x69882,a895)))+~P1(f836(f29(x69882),x69881))+~P1(f836(f29(x69882),x69883))+E(f10(x69882,f836(f836(f91(f906(x69882,a895)),x69883),x69881)),f836(f836(f92(x69882),f10(x69882,x69883)),f10(x69882,x69881)))
% 190.77/190.69 [7631]~P97(x76312)+E(x76311,f178(f906(x76312,a895)))+E(x76313,f178(f906(x76312,a895)))+~P1(f836(f29(x76312),x76311))+~P1(f836(f29(x76312),x76313))+E(f836(f836(f75(x76312),f836(f58(x76312,f75(x76312)),x76313)),f836(f58(x76312,f75(x76312)),x76311)),f836(f58(x76312,f75(x76312)),f836(f836(f91(f906(x76312,a895)),x76313),x76311)))
% 190.77/190.69 [7793]~P108(x77932)+E(x77931,f178(f906(x77932,a895)))+E(x77933,f178(f906(x77932,a895)))+~P1(f836(f29(x77932),x77931))+~P1(f836(f29(x77932),x77933))+E(f836(f836(f228(x77932),f11(x77932,f228(x77932),x77933)),f11(x77932,f228(x77932),x77931)),f11(x77932,f228(x77932),f836(f836(f91(f906(x77932,a895)),x77933),x77931)))
% 190.77/190.69 [7794]~P108(x77942)+E(x77941,f178(f906(x77942,a895)))+E(x77943,f178(f906(x77942,a895)))+~P1(f836(f29(x77942),x77941))+~P1(f836(f29(x77942),x77943))+E(f836(f836(f223(x77942),f12(x77942,f223(x77942),x77943)),f12(x77942,f223(x77942),x77941)),f12(x77942,f223(x77942),f836(f836(f91(f906(x77942,a895)),x77943),x77941)))
% 190.77/190.69 [8827]~P1(f836(x88271,x88273))+P1(f836(x88271,f383(x88271,x88272)))+P1(f836(x88271,f378(x88271,x88272)))+~P1(f836(f836(f225(a1),f2(a1)),x88272))+~P1(f836(f836(f318(a1),x88273),f293(a1,f72(a1),x88272)))+P1(f836(x88271,f836(f836(f23(a1),f378(x88271,x88272)),f836(f836(f75(a1),f382(x88271,x88272)),x88272))))
% 190.77/190.69 [9129]~P1(f836(x91291,x91293))+~P1(f836(x91291,f378(x91291,x91292)))+P1(f836(x91291,f383(x91291,x91292)))+~P1(f836(f836(f225(a1),f2(a1)),x91292))+~P1(f836(f836(f318(a1),x91293),f293(a1,f72(a1),x91292)))+~P1(f836(x91291,f836(f836(f23(a1),f378(x91291,x91292)),f836(f836(f75(a1),f382(x91291,x91292)),x91292))))
% 190.77/190.69 [10382]~P102(x103822)+E(x103821,f178(f906(x103822,a895)))+E(x103823,f178(f906(x103822,a895)))+~P1(f836(f29(x103822),x103821))+~P1(f836(f29(x103822),x103823))+E(f10(x103822,f836(f252(x103822),f836(f836(f8(f906(x103822,a895),a895,x103822),f81(x103822)),f836(f836(f8(f906(x103822,f906(x103822,a895)),f906(x103822,a895),x103822),f836(f8(f906(x103822,a895),a895,x103822),f81(x103822))),f836(f836(f7(x103822,f906(x103822,f906(x103822,a895)),f906(x103822,f906(x103822,a895))),f836(f836(f8(f906(x103822,f906(f906(x103822,a895),f906(x103822,a895))),f906(f906(x103822,f906(x103822,a895)),f906(x103822,f906(x103822,a895))),x103822),f18(x103822,f906(x103822,a895),f906(x103822,a895))),f836(f836(f8(f906(x103822,f906(x103822,f906(a895,a895))),f906(x103822,f906(f906(x103822,a895),f906(x103822,a895))),x103822),f836(f8(f906(x103822,f906(a895,a895)),f906(f906(x103822,a895),f906(x103822,a895)),x103822),f18(x103822,a895,a895))),f836(f836(f8(f906(x103822,f906(x103822,a895)),f906(x103822,f906(x103822,f906(a895,a895))),x103822),f836(f8(f906(x103822,a895),f906(x103822,f906(a895,a895)),x103822),f836(f8(a895,f906(a895,a895),x103822),a315))),f836(f836(f7(x103822,f906(x103822,f906(x103822,x103822)),f906(x103822,f906(x103822,a895))),f836(f836(f8(f906(f906(x103822,x103822),f906(x103822,a895)),f906(f906(x103822,f906(x103822,x103822)),f906(x103822,f906(x103822,a895))),x103822),f8(f906(x103822,x103822),f906(x103822,a895),x103822)),f836(f836(f8(f906(x103822,a895),f906(f906(x103822,x103822),f906(x103822,a895)),x103822),f8(x103822,a895,x103822)),a314))),f91(x103822)))))),f836(f836(f7(x103822,f906(x103822,a895),f906(x103822,a895)),f836(f836(f8(f906(a895,a895),f906(f906(x103822,a895),f906(x103822,a895)),x103822),f8(a895,a895,x103822)),f836(f836(f8(a895,f906(a895,a895),x103822),a315),f836(f836(f7(x103822,f906(x103822,a895),a895),f318(x103822)),x103823)))),f836(f836(f7(x103822,f906(x103822,a895),a895),f318(x103822)),x103821))))))),f836(f836(f91(x103822),f10(x103822,x103823)),f10(x103822,x103821)))
% 190.77/190.69 [10383]~P102(x103832)+E(x103831,f178(f906(x103832,a895)))+E(x103833,f178(f906(x103832,a895)))+~P1(f836(f29(x103832),x103831))+~P1(f836(f29(x103832),x103833))+E(f13(x103832,f836(f252(x103832),f836(f836(f8(f906(x103832,a895),a895,x103832),f81(x103832)),f836(f836(f8(f906(x103832,f906(x103832,a895)),f906(x103832,a895),x103832),f836(f8(f906(x103832,a895),a895,x103832),f81(x103832))),f836(f836(f7(x103832,f906(x103832,f906(x103832,a895)),f906(x103832,f906(x103832,a895))),f836(f836(f8(f906(x103832,f906(f906(x103832,a895),f906(x103832,a895))),f906(f906(x103832,f906(x103832,a895)),f906(x103832,f906(x103832,a895))),x103832),f18(x103832,f906(x103832,a895),f906(x103832,a895))),f836(f836(f8(f906(x103832,f906(x103832,f906(a895,a895))),f906(x103832,f906(f906(x103832,a895),f906(x103832,a895))),x103832),f836(f8(f906(x103832,f906(a895,a895)),f906(f906(x103832,a895),f906(x103832,a895)),x103832),f18(x103832,a895,a895))),f836(f836(f8(f906(x103832,f906(x103832,a895)),f906(x103832,f906(x103832,f906(a895,a895))),x103832),f836(f8(f906(x103832,a895),f906(x103832,f906(a895,a895)),x103832),f836(f8(a895,f906(a895,a895),x103832),a315))),f836(f836(f7(x103832,f906(x103832,f906(x103832,x103832)),f906(x103832,f906(x103832,a895))),f836(f836(f8(f906(f906(x103832,x103832),f906(x103832,a895)),f906(f906(x103832,f906(x103832,x103832)),f906(x103832,f906(x103832,a895))),x103832),f8(f906(x103832,x103832),f906(x103832,a895),x103832)),f836(f836(f8(f906(x103832,a895),f906(f906(x103832,x103832),f906(x103832,a895)),x103832),f8(x103832,a895,x103832)),a314))),f92(x103832)))))),f836(f836(f7(x103832,f906(x103832,a895),f906(x103832,a895)),f836(f836(f8(f906(a895,a895),f906(f906(x103832,a895),f906(x103832,a895)),x103832),f8(a895,a895,x103832)),f836(f836(f8(a895,f906(a895,a895),x103832),a315),f836(f836(f7(x103832,f906(x103832,a895),a895),f318(x103832)),x103833)))),f836(f836(f7(x103832,f906(x103832,a895),a895),f318(x103832)),x103831))))))),f836(f836(f92(x103832),f13(x103832,x103833)),f13(x103832,x103831)))
% 190.77/190.69 [10384]~P108(x103842)+E(x103841,f178(f906(x103842,a895)))+E(x103843,f178(f906(x103842,a895)))+~P1(f836(f29(x103842),x103841))+~P1(f836(f29(x103842),x103843))+E(f12(x103842,f223(x103842),f836(f252(x103842),f836(f836(f8(f906(x103842,a895),a895,x103842),f81(x103842)),f836(f836(f8(f906(x103842,f906(x103842,a895)),f906(x103842,a895),x103842),f836(f8(f906(x103842,a895),a895,x103842),f81(x103842))),f836(f836(f7(x103842,f906(x103842,f906(x103842,a895)),f906(x103842,f906(x103842,a895))),f836(f836(f8(f906(x103842,f906(f906(x103842,a895),f906(x103842,a895))),f906(f906(x103842,f906(x103842,a895)),f906(x103842,f906(x103842,a895))),x103842),f18(x103842,f906(x103842,a895),f906(x103842,a895))),f836(f836(f8(f906(x103842,f906(x103842,f906(a895,a895))),f906(x103842,f906(f906(x103842,a895),f906(x103842,a895))),x103842),f836(f8(f906(x103842,f906(a895,a895)),f906(f906(x103842,a895),f906(x103842,a895)),x103842),f18(x103842,a895,a895))),f836(f836(f8(f906(x103842,f906(x103842,a895)),f906(x103842,f906(x103842,f906(a895,a895))),x103842),f836(f8(f906(x103842,a895),f906(x103842,f906(a895,a895)),x103842),f836(f8(a895,f906(a895,a895),x103842),a315))),f836(f836(f7(x103842,f906(x103842,f906(x103842,x103842)),f906(x103842,f906(x103842,a895))),f836(f836(f8(f906(f906(x103842,x103842),f906(x103842,a895)),f906(f906(x103842,f906(x103842,x103842)),f906(x103842,f906(x103842,a895))),x103842),f8(f906(x103842,x103842),f906(x103842,a895),x103842)),f836(f836(f8(f906(x103842,a895),f906(f906(x103842,x103842),f906(x103842,a895)),x103842),f8(x103842,a895,x103842)),a314))),f228(x103842)))))),f836(f836(f7(x103842,f906(x103842,a895),f906(x103842,a895)),f836(f836(f8(f906(a895,a895),f906(f906(x103842,a895),f906(x103842,a895)),x103842),f8(a895,a895,x103842)),f836(f836(f8(a895,f906(a895,a895),x103842),a315),f836(f836(f7(x103842,f906(x103842,a895),a895),f318(x103842)),x103843)))),f836(f836(f7(x103842,f906(x103842,a895),a895),f318(x103842)),x103841))))))),f836(f836(f228(x103842),f12(x103842,f223(x103842),x103843)),f12(x103842,f223(x103842),x103841)))
% 190.77/190.69 [10385]~P108(x103852)+E(x103851,f178(f906(x103852,a895)))+E(x103853,f178(f906(x103852,a895)))+~P1(f836(f29(x103852),x103851))+~P1(f836(f29(x103852),x103853))+E(f11(x103852,f228(x103852),f836(f252(x103852),f836(f836(f8(f906(x103852,a895),a895,x103852),f81(x103852)),f836(f836(f8(f906(x103852,f906(x103852,a895)),f906(x103852,a895),x103852),f836(f8(f906(x103852,a895),a895,x103852),f81(x103852))),f836(f836(f7(x103852,f906(x103852,f906(x103852,a895)),f906(x103852,f906(x103852,a895))),f836(f836(f8(f906(x103852,f906(f906(x103852,a895),f906(x103852,a895))),f906(f906(x103852,f906(x103852,a895)),f906(x103852,f906(x103852,a895))),x103852),f18(x103852,f906(x103852,a895),f906(x103852,a895))),f836(f836(f8(f906(x103852,f906(x103852,f906(a895,a895))),f906(x103852,f906(f906(x103852,a895),f906(x103852,a895))),x103852),f836(f8(f906(x103852,f906(a895,a895)),f906(f906(x103852,a895),f906(x103852,a895)),x103852),f18(x103852,a895,a895))),f836(f836(f8(f906(x103852,f906(x103852,a895)),f906(x103852,f906(x103852,f906(a895,a895))),x103852),f836(f8(f906(x103852,a895),f906(x103852,f906(a895,a895)),x103852),f836(f8(a895,f906(a895,a895),x103852),a315))),f836(f836(f7(x103852,f906(x103852,f906(x103852,x103852)),f906(x103852,f906(x103852,a895))),f836(f836(f8(f906(f906(x103852,x103852),f906(x103852,a895)),f906(f906(x103852,f906(x103852,x103852)),f906(x103852,f906(x103852,a895))),x103852),f8(f906(x103852,x103852),f906(x103852,a895),x103852)),f836(f836(f8(f906(x103852,a895),f906(f906(x103852,x103852),f906(x103852,a895)),x103852),f8(x103852,a895,x103852)),a314))),f223(x103852)))))),f836(f836(f7(x103852,f906(x103852,a895),f906(x103852,a895)),f836(f836(f8(f906(a895,a895),f906(f906(x103852,a895),f906(x103852,a895)),x103852),f8(a895,a895,x103852)),f836(f836(f8(a895,f906(a895,a895),x103852),a315),f836(f836(f7(x103852,f906(x103852,a895),a895),f318(x103852)),x103853)))),f836(f836(f7(x103852,f906(x103852,a895),a895),f318(x103852)),x103851))))))),f836(f836(f223(x103852),f11(x103852,f228(x103852),x103853)),f11(x103852,f228(x103852),x103851)))
% 190.77/190.69 [7317]~P110(x73173)+E(x73171,x73172)+~E(f836(f836(f234(x73173),x73171),x73174),f836(f836(f234(x73173),x73172),x73174))+~P1(f836(f836(f224(x73173),f2(x73173)),x73172))+~P1(f836(f836(f224(x73173),f2(x73173)),x73171))+~P1(f836(f836(f225(a899),f2(a899)),x73174))
% 190.77/190.69 [7590]~P108(x75902)+E(x75901,f178(f906(x75902,a895)))+~P1(f836(f29(x75902),x75901))+~P1(f836(f836(f318(x75902),x75904),x75901))+P1(f836(f836(f224(x75902),x75903),x75904))+~P1(f836(f836(f224(x75902),x75903),f836(f58(x75902,f228(x75902)),x75901)))
% 190.77/190.69 [7591]~P104(x75912)+E(x75911,f178(f906(x75912,a895)))+~P1(f836(f29(x75912),x75911))+~P1(f836(f836(f318(x75912),x75914),x75911))+P1(f836(f836(f224(x75912),x75913),x75914))+~P1(f836(f836(f224(x75912),x75913),f836(f58(x75912,f92(x75912)),x75911)))
% 190.77/190.69 [7592]~P108(x75922)+E(x75921,f178(f906(x75922,a895)))+~P1(f836(f29(x75922),x75921))+~P1(f836(f836(f318(x75922),x75924),x75921))+P1(f836(f836(f225(x75922),x75923),x75924))+~P1(f836(f836(f225(x75922),x75923),f836(f58(x75922,f228(x75922)),x75921)))
% 190.77/190.69 [7497]E(x74971,f2(a1))+E(f836(f836(f31(a1),x74972),x74971),x74973)+~P1(f836(f836(f224(a1),x74974),f2(a1)))+~E(x74972,f836(f836(f74(a1),f836(f836(f75(a1),x74971),x74973)),x74974))+P1(f836(f836(f225(a1),f2(a1)),x74971))+~P1(f836(f836(f225(a1),x74971),x74974))
% 190.77/190.69 [7514]E(f41(a1,x75142,x75141),x75143)+E(x75141,f2(a1))+~P1(f836(f836(f224(a1),x75143),f2(a1)))+~E(x75142,f836(f836(f74(a1),f836(f836(f75(a1),x75141),x75144)),x75143))+P1(f836(f836(f225(a1),f2(a1)),x75141))+~P1(f836(f836(f225(a1),x75141),x75143))
% 190.77/190.69 [7630]E(x76301,f2(a1))+E(f836(f836(f31(a1),x76302),x76301),x76303)+~E(x76302,f836(f836(f74(a1),f836(f836(f75(a1),x76301),x76303)),x76304))+~P1(f836(f836(f224(a1),f2(a1)),x76304))+~P1(f836(f836(f225(a1),f2(a1)),x76301))+~P1(f836(f836(f225(a1),x76304),x76301))
% 190.77/190.69 [7653]E(f41(a1,x76532,x76531),x76533)+E(x76531,f2(a1))+~E(x76532,f836(f836(f74(a1),f836(f836(f75(a1),x76531),x76534)),x76533))+~P1(f836(f836(f224(a1),f2(a1)),x76533))+~P1(f836(f836(f225(a1),f2(a1)),x76531))+~P1(f836(f836(f225(a1),x76533),x76531))
% 190.77/190.69 [7797]~P108(x77972)+E(x77971,f178(f906(x77972,a895)))+~P1(f836(f29(x77972),x77971))+~P1(f836(f836(f318(x77972),x77974),x77971))+~P1(f836(f836(f224(x77972),x77974),x77973))+P1(f836(f836(f224(x77972),f836(f58(x77972,f228(x77972)),x77971)),x77973))
% 190.77/190.69 [7798]~P108(x77982)+E(x77981,f178(f906(x77982,a895)))+~P1(f836(f29(x77982),x77981))+~P1(f836(f836(f225(x77982),x77984),x77983))+~P1(f836(f836(f318(x77982),x77984),x77981))+P1(f836(f836(f225(x77982),f836(f58(x77982,f228(x77982)),x77981)),x77983))
% 190.77/190.69 [8363]~P1(f836(f836(f224(a1),x83634),f2(a1)))+~E(x83631,f836(f836(f74(a1),f836(f836(f75(a1),x83632),x83633)),x83634))+~P1(f836(f836(f224(a1),f2(a1)),x83634))+~P1(f836(f836(f225(a1),x83634),x83632))+~P1(f836(f836(f225(a1),x83632),x83634))+P1(f836(f45(x83631,x83632),f836(f836(f242(a1,a1),x83633),x83634)))
% 190.77/190.69 [8531]~P109(x85311)+P1(f836(f836(f225(f906(x85311,a895)),f293(x85311,x85312,x85313)),f293(x85311,x85314,x85315)))+~P1(f836(f836(f224(x85311),x85314),x85312))+~P1(f836(f836(f224(x85311),x85314),x85315))+~P1(f836(f836(f224(x85311),x85313),x85315))+~P1(f836(f836(f225(x85311),x85313),x85315))
% 190.77/190.69 [8532]~P109(x85321)+P1(f836(f836(f225(f906(x85321,a895)),f293(x85321,x85322,x85323)),f293(x85321,x85324,x85325)))+~P1(f836(f836(f224(x85321),x85323),x85325))+~P1(f836(f836(f224(x85321),x85324),x85325))+~P1(f836(f836(f224(x85321),x85324),x85322))+~P1(f836(f836(f225(x85321),x85324),x85322))
% 190.77/190.69 [9394]P58(x93942,x93943,x93944,x93941)+E(x93941,f178(f906(x93942,a895)))+~P1(f836(f29(x93942),x93944))+~P1(f836(f29(x93942),x93941))+~P1(f836(f836(x93943,f457(x93941,x93944,x93943,x93942)),x93945))+~P1(f836(f836(f318(x93942),x93945),x93941))
% 190.77/190.69 [9395]P58(x93952,x93953,x93954,x93951)+E(x93951,f178(f906(x93952,a895)))+~P1(f836(f29(x93952),x93954))+~P1(f836(f29(x93952),x93951))+~P1(f836(f836(x93953,f775(x93953,x93951,x93954,x93952)),x93955))+~P1(f836(f836(f318(x93952),x93955),x93951))
% 190.77/190.69 [9396]P58(x93962,x93963,x93964,x93961)+E(x93961,f178(f906(x93962,a895)))+~P1(f836(f29(x93962),x93964))+~P1(f836(f29(x93962),x93961))+~P1(f836(f836(x93963,f777(x93961,x93964,x93963,x93962)),x93965))+~P1(f836(f836(f318(x93962),x93965),x93961))
% 190.77/190.69 [9544]~E(x95443,x95445)+~P73(x95441)+~P74(x95441)+~P39(x95443)+E(f836(f836(f9(a1,x95441),x95442),x95443),f836(f836(f9(a1,x95441),x95444),x95445))+P1(f836(f836(f224(a1),f2(a1)),f419(x95442,x95444,x95443,x95445,x95441)))
% 190.77/190.69 [9545]~E(x95453,x95455)+~P73(x95451)+~P74(x95451)+~P39(x95453)+E(f836(f836(f6(a1,x95451),x95452),x95453),f836(f836(f6(a1,x95451),x95454),x95455))+P1(f836(f836(f224(a1),f2(a1)),f447(x95452,x95454,x95453,x95455,x95451)))
% 190.77/190.69 [9726]~E(x97265,x97263)+~P73(x97261)+~P74(x97261)+~P39(x97265)+~E(f836(x97262,f419(x97264,x97262,x97265,x97263,x97261)),f836(x97264,f419(x97264,x97262,x97265,x97263,x97261)))+E(f836(f836(f9(a1,x97261),x97262),x97263),f836(f836(f9(a1,x97261),x97264),x97265))
% 190.77/190.69 [9727]~E(x97275,x97273)+~P73(x97271)+~P74(x97271)+~P39(x97275)+~E(f836(x97272,f447(x97274,x97272,x97275,x97273,x97271)),f836(x97274,f447(x97274,x97272,x97275,x97273,x97271)))+E(f836(f836(f6(a1,x97271),x97272),x97273),f836(f836(f6(a1,x97271),x97274),x97275))
% 190.77/190.69 [9814]~P65(x98143)+E(f836(x98141,x98142),f2(x98143))+~E(f836(f836(f6(x98144,x98143),x98141),x98145),f2(x98143))+~P1(f836(f29(x98144),x98145))+P1(f836(f836(f318(x98144),f409(x98142,x98141,x98145,x98144,x98143)),x98145))+~P1(f836(f836(f318(x98144),x98142),x98145))
% 190.77/190.69 [9941]~P65(x99413)+E(f836(x99411,x99412),f2(x99413))+~E(f836(f836(f6(x99414,x99413),x99411),x99415),f2(x99413))+~P1(f836(f29(x99414),x99415))+~P1(f836(f836(f318(x99414),x99412),x99415))+~P1(f836(f836(f224(x99413),f2(x99413)),f836(x99411,f409(x99412,x99411,x99415,x99414,x99413))))
% 190.77/190.69 [8448]~P139(x84481)+~P1(f836(f836(f224(x84481),x84483),x84485))+~P1(f836(f836(f224(x84481),x84482),x84484))+~P1(f836(f836(f224(x84481),f2(x84481)),x84483))+~P1(f836(f836(f224(x84481),f2(x84481)),x84484))+P1(f836(f836(f224(x84481),f836(f836(f75(x84481),x84482),x84483)),f836(f836(f75(x84481),x84484),x84485)))
% 190.77/190.69 [8449]~P139(x84491)+~P1(f836(f836(f224(x84491),x84493),x84495))+~P1(f836(f836(f224(x84491),x84492),x84494))+~P1(f836(f836(f224(x84491),f2(x84491)),x84493))+~P1(f836(f836(f224(x84491),f2(x84491)),x84492))+P1(f836(f836(f224(x84491),f836(f836(f75(x84491),x84492),x84493)),f836(f836(f75(x84491),x84494),x84495)))
% 190.77/190.69 [8450]~P64(x84501)+~P1(f836(f836(f225(x84501),f2(x84501)),x84505))+~P1(f836(f836(f224(x84501),x84505),x84503))+~P1(f836(f836(f224(x84501),x84502),x84504))+~P1(f836(f836(f224(x84501),f2(x84501)),x84502))+P1(f836(f836(f224(x84501),f836(f836(f281(x84501),x84502),x84503)),f836(f836(f281(x84501),x84504),x84505)))
% 190.77/190.69 [8451]~P134(x84511)+~P1(f836(f836(f224(x84511),x84513),x84515))+~P1(f836(f836(f224(x84511),f2(x84511)),x84512))+~P1(f836(f836(f225(x84511),x84512),x84514))+~P1(f836(f836(f225(x84511),f2(x84511)),x84513))+P1(f836(f836(f225(x84511),f836(f836(f75(x84511),x84512),x84513)),f836(f836(f75(x84511),x84514),x84515)))
% 190.77/190.69 [8452]~P134(x84521)+~P1(f836(f836(f224(x84521),x84522),x84524))+~P1(f836(f836(f224(x84521),f2(x84521)),x84523))+~P1(f836(f836(f225(x84521),x84523),x84525))+~P1(f836(f836(f225(x84521),f2(x84521)),x84522))+P1(f836(f836(f225(x84521),f836(f836(f75(x84521),x84522),x84523)),f836(f836(f75(x84521),x84524),x84525)))
% 190.77/190.69 [8453]~P134(x84531)+~P1(f836(f836(f224(x84531),f2(x84531)),x84533))+~P1(f836(f836(f224(x84531),f2(x84531)),x84532))+~P1(f836(f836(f225(x84531),x84533),x84535))+~P1(f836(f836(f225(x84531),x84532),x84534))+P1(f836(f836(f225(x84531),f836(f836(f75(x84531),x84532),x84533)),f836(f836(f75(x84531),x84534),x84535)))
% 190.77/190.69 [8454]~P134(x84541)+~P1(f836(f836(f224(x84541),f2(x84541)),x84543))+~P1(f836(f836(f225(x84541),x84543),x84545))+~P1(f836(f836(f225(x84541),x84542),x84544))+~P1(f836(f836(f225(x84541),f2(x84541)),x84544))+P1(f836(f836(f225(x84541),f836(f836(f75(x84541),x84542),x84543)),f836(f836(f75(x84541),x84544),x84545)))
% 190.77/190.69 [8455]~P64(x84551)+~P1(f836(f836(f224(x84551),x84555),x84553))+~P1(f836(f836(f224(x84551),f2(x84551)),x84552))+~P1(f836(f836(f225(x84551),x84552),x84554))+~P1(f836(f836(f225(x84551),f2(x84551)),x84555))+P1(f836(f836(f225(x84551),f836(f836(f281(x84551),x84552),x84553)),f836(f836(f281(x84551),x84554),x84555)))
% 190.77/190.69 [8456]~P64(x84561)+~P1(f836(f836(f224(x84561),x84562),x84564))+~P1(f836(f836(f225(x84561),x84565),x84563))+~P1(f836(f836(f225(x84561),f2(x84561)),x84565))+~P1(f836(f836(f225(x84561),f2(x84561)),x84562))+P1(f836(f836(f225(x84561),f836(f836(f281(x84561),x84562),x84563)),f836(f836(f281(x84561),x84564),x84565)))
% 190.77/190.69 [9857]~P87(x98575)+~P73(x98575)+E(x98571,f178(f906(x98572,a895)))+~P1(f836(f29(x98572),x98571))+P1(f836(f836(f318(x98572),f415(x98573,x98574,x98571,x98572,x98575)),x98571))+P1(f836(f836(f225(x98575),f836(f836(f6(x98572,x98575),x98574),x98571)),f836(f836(f6(x98572,x98575),x98573),x98571)))
% 190.77/190.69 [9966]~P85(x99661)+~P73(x99661)+~P1(f836(f29(x99662),x99665))+~P1(f836(f836(f224(x99661),f2(x99661)),f836(x99663,f406(x99663,x99664,x99665,x99662,x99661))))+P1(f836(f836(f224(x99661),f836(f836(f6(x99662,x99661),x99663),x99664)),f836(f836(f6(x99662,x99661),x99663),x99665)))+~P1(f836(f836(f224(f906(x99662,a895)),x99664),x99665))
% 190.77/190.69 [10135]~P87(x101353)+~P73(x101353)+E(x101351,f178(f906(x101352,a895)))+~P1(f836(f29(x101352),x101351))+~P1(f836(f836(f225(x101353),f836(x101354,f415(x101355,x101354,x101351,x101352,x101353))),f836(x101355,f415(x101355,x101354,x101351,x101352,x101353))))+P1(f836(f836(f225(x101353),f836(f836(f6(x101352,x101353),x101354),x101351)),f836(f836(f6(x101352,x101353),x101355),x101351)))
% 190.77/190.69 [7173]~P17(x71732,x71735,x71734)+E(x71731,f178(f906(x71732,a895)))+E(x71733,f178(f906(x71732,a895)))+~P1(f836(f29(x71732),x71731))+~P1(f836(f29(x71732),x71733))+E(f836(x71734,f836(f836(f91(f906(x71732,a895)),x71733),x71731)),f836(f836(x71735,f836(x71734,x71733)),f836(x71734,x71731)))
% 190.77/190.69 [7763]~P148(x77631,x77634,x77633)+P1(f836(x77631,x77632))+~P1(f836(f836(f225(a1),x77634),f2(a1)))+~P1(f836(f836(f224(a1),x77635),f2(a1)))+~E(x77633,f836(f836(f74(a1),f836(f836(f75(a1),x77634),x77632)),x77635))+~P1(f836(f836(f225(a1),x77634),x77635))
% 190.77/190.69 [7764]~P147(x77641,x77644,x77643)+P1(f836(x77641,x77642))+~P1(f836(f836(f225(a1),x77644),f2(a1)))+~P1(f836(f836(f224(a1),x77642),f2(a1)))+~E(x77643,f836(f836(f74(a1),f836(f836(f75(a1),x77644),x77645)),x77642))+~P1(f836(f836(f225(a1),x77644),x77642))
% 190.77/190.69 [7806]~P148(x78061,x78064,x78063)+P1(f836(x78061,x78062))+~E(x78063,f836(f836(f74(a1),f836(f836(f75(a1),x78064),x78062)),x78065))+~P1(f836(f836(f224(a1),f2(a1)),x78065))+~P1(f836(f836(f225(a1),f2(a1)),x78064))+~P1(f836(f836(f225(a1),x78065),x78064))
% 190.77/190.69 [7807]~P147(x78071,x78074,x78073)+P1(f836(x78071,x78072))+~E(x78073,f836(f836(f74(a1),f836(f836(f75(a1),x78074),x78075)),x78072))+~P1(f836(f836(f224(a1),f2(a1)),x78072))+~P1(f836(f836(f225(a1),f2(a1)),x78074))+~P1(f836(f836(f225(a1),x78072),x78074))
% 190.77/190.69 [8740]P1(f836(f836(x87401,x87402),x87403))+~P1(f836(f836(x87401,f836(f836(f31(a1),x87404),x87405)),f41(a1,x87404,x87405)))+~P1(f836(f836(f225(a1),x87405),f2(a1)))+~P1(f836(f836(f224(a1),x87403),f2(a1)))+~E(x87404,f836(f836(f74(a1),f836(f836(f75(a1),x87405),x87402)),x87403))+~P1(f836(f836(f225(a1),x87405),x87403))
% 190.77/190.69 [8749]P1(f836(f836(x87491,x87492),x87493))+~P1(f836(f836(x87491,f836(f836(f31(a1),x87494),x87495)),f41(a1,x87494,x87495)))+~E(x87494,f836(f836(f74(a1),f836(f836(f75(a1),x87495),x87492)),x87493))+~P1(f836(f836(f224(a1),f2(a1)),x87493))+~P1(f836(f836(f225(a1),f2(a1)),x87495))+~P1(f836(f836(f225(a1),x87493),x87495))
% 190.77/190.69 [9010]E(x90101,x90102)+~P55(x90103,x90105,x90104)+~P1(f836(f836(f318(x90103),x90102),x90105))+~P1(f836(f836(f318(x90103),x90101),x90105))+P1(f836(f836(f318(f905(x90103,x90103)),f836(f836(f242(x90103,x90103),x90101),x90102)),x90104))+P1(f836(f836(f318(f905(x90103,x90103)),f836(f836(f242(x90103,x90103),x90102),x90101)),x90104))
% 190.77/190.69 [9884]~P85(x98845)+~P73(x98845)+~P1(f836(f29(x98841),x98844))+P1(f836(f836(f224(x98845),f836(f836(f6(x98841,x98845),x98842),x98843)),f836(f836(f6(x98841,x98845),x98842),x98844)))+~P1(f836(f836(f224(f906(x98841,a895)),x98843),x98844))+P1(f836(f836(f318(x98841),f406(x98842,x98843,x98844,x98841,x98845)),f836(f836(f23(f906(x98841,a895)),x98844),x98843)))
% 190.77/190.69 [9974]E(x99741,f178(f906(x99742,a895)))+~P1(f836(f29(x99742),x99743))+~P1(f836(f29(x99742),x99741))+P1(f836(f836(f318(f905(f906(x99742,a895),f906(x99742,a895))),f836(f836(f242(f906(x99742,a895),f906(x99742,a895)),x99743),x99741)),f309(x99742,x99744)))+~P1(f836(f836(f318(x99742),x99745),x99741))+~P1(f836(f836(f318(f905(x99742,x99742)),f836(f836(f242(x99742,x99742),f459(x99744,x99741,x99743,x99742)),x99745)),x99744))
% 190.77/190.69 [9975]E(x99751,f178(f906(x99752,a895)))+~P1(f836(f29(x99752),x99753))+~P1(f836(f29(x99752),x99751))+P1(f836(f836(f318(f905(f906(x99752,a895),f906(x99752,a895))),f836(f836(f242(f906(x99752,a895),f906(x99752,a895)),x99753),x99751)),f309(x99752,x99754)))+~P1(f836(f836(f318(x99752),x99755),x99751))+~P1(f836(f836(f318(f905(x99752,x99752)),f836(f836(f242(x99752,x99752),f541(x99754,x99751,x99753,x99752)),x99755)),x99754))
% 190.77/190.69 [10139]~P65(x101391)+~E(f836(f836(f6(x101395,x101391),x101392),x101396),x101394)+~P1(f836(f29(x101395),x101396))+P1(f836(f836(f318(x101395),f410(x101393,x101394,x101392,x101396,x101395,x101391)),x101396))+P1(f836(f836(f224(x101391),f836(x101392,x101393)),x101394))+~P1(f836(f836(f318(x101395),x101393),x101396))
% 190.77/190.69 [10187]~P65(x101871)+~E(f836(f836(f6(x101875,x101871),x101872),x101876),x101874)+~P1(f836(f29(x101875),x101876))+~P1(f836(f836(f318(x101875),x101873),x101876))+~P1(f836(f836(f224(x101871),f2(x101871)),f836(x101872,f410(x101873,x101874,x101872,x101876,x101875,x101871))))+P1(f836(f836(f224(x101871),f836(x101872,x101873)),x101874))
% 190.77/190.69 [10329]~E(x103295,x103298)+~E(x103294,x103297)+~P107(x103291)+~P73(x103292)+E(f836(f836(f6(x103291,x103292),x103293),f836(f292(x103291,x103294),x103295)),f836(f836(f6(x103291,x103292),x103296),f836(f292(x103291,x103297),x103298)))+P1(f836(f836(f224(x103291),x103294),f549(x103293,x103296,x103295,x103298,x103294,x103297,x103291,x103292)))
% 190.77/190.69 [10345]~E(x103457,x103454)+~E(x103458,x103455)+~P107(x103451)+~P73(x103452)+~E(f836(x103453,f549(x103456,x103453,x103458,x103455,x103457,x103454,x103451,x103452)),f836(x103456,f549(x103456,x103453,x103458,x103455,x103457,x103454,x103451,x103452)))+E(f836(f836(f6(x103451,x103452),x103453),f836(f292(x103451,x103454),x103455)),f836(f836(f6(x103451,x103452),x103456),f836(f292(x103451,x103457),x103458)))
% 190.77/190.69 [10348]~E(x103484,x103487)+~E(x103485,x103488)+~P107(x103481)+~P73(x103482)+E(f836(f836(f6(x103481,x103482),x103483),f836(f292(x103481,x103484),x103485)),f836(f836(f6(x103481,x103482),x103486),f836(f292(x103481,x103487),x103488)))+P1(f836(f836(f225(x103481),f549(x103483,x103486,x103485,x103488,x103484,x103487,x103481,x103482)),x103485))
% 190.77/190.69 [9981]~P8(x99815,x99819,x99816)+~P8(x99811,x998110,x99813)+~P12(x99811,x99815,f906(x99812,a895),x99813,x99816,x99818)+~P1(f836(f836(f318(x99815),x99817),x99819))+~P1(f836(f836(f318(x99811),x99814),x998110))+E(f836(f836(f35(x99811,f906(x99812,a895)),f836(f275(x99811,x99811,x99813),f836(f836(f299(x99811),x99814),f178(f906(x99811,a895))))),f836(f836(f8(f906(x99815,f906(x99812,a895)),f906(x99812,a895),x99811),f836(f35(x99815,f906(x99812,a895)),f836(f275(x99815,x99815,x99816),f836(f836(f299(x99815),x99817),f178(f906(x99815,a895)))))),x99818)),f836(f836(x99818,x99814),x99817))
% 190.77/190.69 [5662]~P108(x56623)+~P13(x56623,x56622)+~P13(x56623,x56621)+E(x56621,x56622)+~E(f836(f162(x56623),x56621),f836(f162(x56623),x56622))+~P1(f836(f127(x56623),x56622))+~P1(f836(f127(x56623),x56621))
% 190.77/190.69 [4989]~P127(x49892)+~P133(x49892)+~P135(x49892)+~P115(x49892)+~E(x49893,f2(x49892))+E(x49891,f2(a899))+E(f836(f836(f234(x49892),x49893),x49891),f2(x49892))
% 190.77/190.69 [9266]E(x92661,f2(a899))+~E(x92662,f836(f836(f74(a899),f836(f836(f75(a899),f836(f241(a899,a899),x92663)),x92661)),f836(f246(a899,a899),x92663)))+P1(f836(f44(x92662,x92661),x92663))+~P1(f836(f836(f224(a899),f836(f246(a899,a899),x92663)),f2(a899)))+~P1(f836(f836(f224(a899),f2(a899)),f836(f246(a899,a899),x92663)))+~P1(f836(f836(f225(a899),x92661),f836(f246(a899,a899),x92663)))+~P1(f836(f836(f225(a899),f836(f246(a899,a899),x92663)),x92661))
% 190.77/190.69 [9274]~E(f836(f241(a899,a899),x92743),f2(a899))+~E(x92741,f836(f836(f74(a899),f836(f836(f75(a899),f836(f241(a899,a899),x92743)),x92742)),f836(f246(a899,a899),x92743)))+P1(f836(f44(x92741,x92742),x92743))+~P1(f836(f836(f224(a899),f836(f246(a899,a899),x92743)),f2(a899)))+~P1(f836(f836(f224(a899),f2(a899)),f836(f246(a899,a899),x92743)))+~P1(f836(f836(f225(a899),x92742),f836(f246(a899,a899),x92743)))+~P1(f836(f836(f225(a899),f836(f246(a899,a899),x92743)),x92742))
% 190.77/190.69 [8117]~P71(x81172)+E(x81171,f178(f906(x81172,a895)))+E(x81173,f178(f906(x81172,a895)))+~P1(f836(f29(x81172),x81171))+~P1(f836(f29(x81172),x81173))+~E(f836(f836(f92(f906(x81172,a895)),x81173),x81171),f178(f906(x81172,a895)))+E(f836(f836(f75(x81172),f836(f58(x81172,f75(x81172)),x81173)),f836(f58(x81172,f75(x81172)),x81171)),f836(f58(x81172,f75(x81172)),f836(f836(f91(f906(x81172,a895)),x81173),x81171)))
% 190.77/190.69 [7902]E(x79021,f2(a1))+E(f836(f836(f31(a1),x79022),x79021),x79023)+~P1(f836(f836(f224(a1),x79024),f2(a1)))+~E(x79022,f836(f836(f74(a1),f836(f836(f75(a1),x79021),x79023)),x79024))+~P1(f836(f836(f224(a1),f2(a1)),x79024))+~P1(f836(f836(f225(a1),x79024),x79021))+~P1(f836(f836(f225(a1),x79021),x79024))
% 190.77/190.69 [7910]E(f41(a1,x79102,x79101),x79103)+E(x79101,f2(a1))+~P1(f836(f836(f224(a1),x79103),f2(a1)))+~E(x79102,f836(f836(f74(a1),f836(f836(f75(a1),x79101),x79104)),x79103))+~P1(f836(f836(f224(a1),f2(a1)),x79103))+~P1(f836(f836(f225(a1),x79103),x79101))+~P1(f836(f836(f225(a1),x79101),x79103))
% 190.77/190.69 [6952]~P3(x69522)+E(x69521,f2(x69522))+E(x69523,f2(x69522))+~E(f836(f836(f31(x69522),x69524),x69523),f836(f836(f31(x69522),x69525),x69521))+E(f836(f836(f75(x69522),x69524),x69521),f836(f836(f75(x69522),x69523),x69525))+~P1(f836(f836(f277(x69522),x69521),x69525))+~P1(f836(f836(f277(x69522),x69523),x69524))
% 190.77/190.69 [6953]~P3(x69532)+E(x69531,f2(x69532))+E(x69533,f2(x69532))+~E(f836(f836(f75(x69532),x69534),x69533),f836(f836(f75(x69532),x69531),x69535))+E(f836(f836(f31(x69532),x69534),x69531),f836(f836(f31(x69532),x69535),x69533))+~P1(f836(f836(f277(x69532),x69531),x69534))+~P1(f836(f836(f277(x69532),x69533),x69535))
% 190.77/190.69 [7816]~P18(x78162,x78165,x78164)+E(x78161,f178(f906(x78162,a895)))+E(x78163,f178(f906(x78162,a895)))+~P1(f836(f29(x78162),x78161))+~P1(f836(f29(x78162),x78163))+~E(f836(f836(f92(f906(x78162,a895)),x78163),x78161),f178(f906(x78162,a895)))+E(f836(x78164,f836(f836(f91(f906(x78162,a895)),x78163),x78161)),f836(f836(x78165,f836(x78164,x78163)),f836(x78164,x78161)))
% 190.77/190.69 [9517]~P24(x95173,x95171,x95175,x95174)+~P24(x95171,x95173,x95176,x95172)+E(f836(f30(x95171),x95172),f836(f30(x95173),x95174))+~P1(f836(f29(x95173),x95174))+~P1(f836(f29(x95171),x95172))+~P1(f836(f836(f224(f906(x95173,a895)),f836(f300(x95171,x95173,x95176),x95172)),x95174))+~P1(f836(f836(f224(f906(x95171,a895)),f836(f300(x95173,x95171,x95175),x95174)),x95172))
% 190.77/190.69 [9459]~P1(f836(f836(f225(a1),f836(f836(f74(a1),f836(f836(f75(a1),x94595),x94591)),x94596)),f2(a1)))+~E(f836(f836(f74(a1),f836(f836(f75(a1),x94593),x94592)),x94594),f836(f836(f74(a1),f836(f836(f75(a1),x94595),x94591)),x94596))+~P1(f836(f836(f224(a1),f2(a1)),x94596))+~P1(f836(f836(f225(a1),f2(a1)),x94595))+~P1(f836(f836(f224(a1),x94595),x94593))+~P1(f836(f836(f225(a1),x94594),x94593))+P1(f836(f836(f224(a1),x94591),x94592))
% 190.77/190.69 [9217]~E(f836(f836(f74(a1),f836(f836(f75(a1),x92173),x92171)),x92174),f836(f836(f74(a1),f836(f836(f75(a1),x92175),x92172)),x92176))+~P1(f836(f836(f224(a1),f2(a1)),x92174))+~P1(f836(f836(f225(a1),f2(a1)),x92175))+~P1(f836(f836(f224(a1),x92175),x92173))+~P1(f836(f836(f225(a1),x92176),x92175))+P1(f836(f836(f224(a1),x92171),x92172))+~P1(f836(f836(f224(a1),f2(a1)),f836(f836(f74(a1),f836(f836(f75(a1),x92175),x92172)),x92176)))
% 190.77/190.69 [9399]~P131(x93991)+~E(f836(f836(f74(x93991),x93992),x93994),f72(x93991))+~P1(f836(f836(f224(x93991),x93995),x93996))+~P1(f836(f836(f224(x93991),x93993),x93996))+~P1(f836(f836(f224(x93991),f2(x93991)),x93994))+~P1(f836(f836(f224(x93991),f2(x93991)),x93992))+P1(f836(f836(f224(x93991),f836(f836(f74(x93991),f836(f836(f75(x93991),x93992),x93993)),f836(f836(f75(x93991),x93994),x93995))),x93996))
% 190.77/190.69 [9400]~P129(x94001)+~E(f836(f836(f74(x94001),x94002),x94004),f72(x94001))+~P1(f836(f836(f224(x94001),f2(x94001)),x94004))+~P1(f836(f836(f224(x94001),f2(x94001)),x94002))+~P1(f836(f836(f225(x94001),x94005),x94006))+~P1(f836(f836(f225(x94001),x94003),x94006))+P1(f836(f836(f225(x94001),f836(f836(f74(x94001),f836(f836(f75(x94001),x94002),x94003)),f836(f836(f75(x94001),x94004),x94005))),x94006))
% 190.77/190.69 [10234]~P8(x102347,x102346,x102345)+E(x102341,x102342)+~P11(x102347,f906(x102344,a895),x102345,x102343)+E(f836(x102343,f438(x102341,x102342,x102343,x102344,x102345,x102346,x102347)),f836(x102343,f439(x102341,x102342,x102343,x102344,x102345,x102346,x102347)))+~E(f836(f836(f35(x102347,f906(x102344,a895)),x102341),x102343),f836(f836(f35(x102347,f906(x102344,a895)),x102342),x102343))+~P1(f836(f836(f318(f906(x102347,a895)),x102342),f836(f836(f56(x102347),x102346),x102345)))+~P1(f836(f836(f318(f906(x102347,a895)),x102341),f836(f836(f56(x102347),x102346),x102345)))
% 190.77/190.69 [10285]~P8(x102853,x102857,x102856)+E(x102851,x102852)+~P11(x102853,f906(x102855,a895),x102856,x102854)+~E(f836(f836(f35(x102853,f906(x102855,a895)),x102851),x102854),f836(f836(f35(x102853,f906(x102855,a895)),x102852),x102854))+P1(f836(f836(f318(x102853),f439(x102851,x102852,x102854,x102855,x102856,x102857,x102853)),x102857))+~P1(f836(f836(f318(f906(x102853,a895)),x102852),f836(f836(f56(x102853),x102857),x102856)))+~P1(f836(f836(f318(f906(x102853,a895)),x102851),f836(f836(f56(x102853),x102857),x102856)))
% 190.77/190.69 [10286]~P8(x102863,x102867,x102866)+E(x102861,x102862)+~P11(x102863,f906(x102865,a895),x102866,x102864)+~E(f836(f836(f35(x102863,f906(x102865,a895)),x102861),x102864),f836(f836(f35(x102863,f906(x102865,a895)),x102862),x102864))+P1(f836(f836(f318(x102863),f438(x102861,x102862,x102864,x102865,x102866,x102867,x102863)),x102867))+~P1(f836(f836(f318(f906(x102863,a895)),x102862),f836(f836(f56(x102863),x102867),x102866)))+~P1(f836(f836(f318(f906(x102863,a895)),x102861),f836(f836(f56(x102863),x102867),x102866)))
% 190.77/190.69 [10364]E(x103641,x103642)+~P8(x103643,x103646,x103647)+~P11(x103643,f906(x103644,a895),x103647,x103645)+~E(f836(f836(f35(x103643,f906(x103644,a895)),x103641),x103645),f836(f836(f35(x103643,f906(x103644,a895)),x103642),x103645))+~P1(f836(f836(f318(f905(x103643,x103643)),f836(f836(f242(x103643,x103643),f439(x103641,x103642,x103645,x103644,x103647,x103646,x103643)),f438(x103641,x103642,x103645,x103644,x103647,x103646,x103643))),x103647))+~P1(f836(f836(f318(f906(x103643,a895)),x103642),f836(f836(f56(x103643),x103646),x103647)))+~P1(f836(f836(f318(f906(x103643,a895)),x103641),f836(f836(f56(x103643),x103646),x103647)))
% 190.77/190.69 [9216]~P8(x92161,x92167,x92164)+~E(x92165,x92166)+~P1(f836(f836(f318(x92161),x92163),x92166))+~P1(f836(f836(f318(x92161),x92162),x92165))+~P1(f836(f836(f318(f906(x92161,a895)),x92166),f836(f836(f56(x92161),x92167),x92164)))+~P1(f836(f836(f318(f906(x92161,a895)),x92165),f836(f836(f56(x92161),x92167),x92164)))+P1(f836(f836(f318(f905(x92161,x92161)),f836(f836(f242(x92161,x92161),x92162),x92163)),x92164))
% 190.77/190.69 [9355]E(x93551,x93552)+~P8(x93553,x93554,x93555)+~P1(f836(f836(f318(x93553),x93556),x93552))+~P1(f836(f836(f318(x93553),x93557),x93551))+~P1(f836(f836(f318(f906(x93553,a895)),x93552),f836(f836(f56(x93553),x93554),x93555)))+~P1(f836(f836(f318(f906(x93553,a895)),x93551),f836(f836(f56(x93553),x93554),x93555)))+~P1(f836(f836(f318(f905(x93553,x93553)),f836(f836(f242(x93553,x93553),x93557),x93556)),x93555))
% 190.77/190.69 [10391]~P8(x103919,x103918,x103917)+~P8(x103911,x1039111,x1039110)+~P12(x103911,x103919,f906(x103916,a895),x1039110,x103917,x103915)+P1(f836(f836(f318(x103911),f441(x103912,x103913,x103914,x103915,x103916,x103917,x103918,x103919,x1039110,x1039111,x103911)),x1039111))+~P1(f836(f836(f318(f906(x103919,a895)),x103913),f836(f836(f56(x103919),x103918),x103917)))+~P1(f836(f836(f318(f906(x103911,a895)),x103914),f836(f836(f56(x103911),x1039111),x1039110)))+P1(f836(f836(f318(f906(x103916,a895)),f836(f836(f35(x103911,f906(x103916,a895)),x103914),f836(f836(f8(f906(x103919,f906(x103916,a895)),f906(x103916,a895),x103911),f836(f35(x103919,f906(x103916,a895)),x103913)),x103915))),x103912))
% 190.77/190.69 [10392]~P8(x1039211,x1039210,x103929)+~P8(x103921,x103928,x103927)+~P12(x1039211,x103921,f906(x103926,a895),x103929,x103927,x103925)+P1(f836(f836(f318(x103921),f442(x103922,x103923,x103924,x103925,x103926,x103927,x103928,x103921,x103929,x1039210,x1039211)),x103928))+~P1(f836(f836(f318(f906(x1039211,a895)),x103924),f836(f836(f56(x1039211),x1039210),x103929)))+~P1(f836(f836(f318(f906(x103921,a895)),x103923),f836(f836(f56(x103921),x103928),x103927)))+P1(f836(f836(f318(f906(x103926,a895)),f836(f836(f35(x1039211,f906(x103926,a895)),x103924),f836(f836(f8(f906(x103921,f906(x103926,a895)),f906(x103926,a895),x1039211),f836(f35(x103921,f906(x103926,a895)),x103923)),x103925))),x103922))
% 190.77/190.69 [10393]~P8(x103932,x103938,x103939)+~P8(x103934,x1039310,x1039311)+~P12(x103932,x103934,f906(x103931,a895),x103939,x1039311,x103936)+~P1(f836(f836(f318(f906(x103932,a895)),x103933),f836(f836(f56(x103932),x103938),x103939)))+~P1(f836(f836(f318(f906(x103934,a895)),x103935),f836(f836(f56(x103934),x1039310),x1039311)))+~P1(f836(f836(f318(f906(x103931,a895)),f836(f836(x103936,f441(x103937,x103935,x103933,x103936,x103931,x1039311,x1039310,x103934,x103939,x103938,x103932)),f442(x103937,x103935,x103933,x103936,x103931,x1039311,x1039310,x103934,x103939,x103938,x103932))),x103937))+P1(f836(f836(f318(f906(x103931,a895)),f836(f836(f35(x103932,f906(x103931,a895)),x103933),f836(f836(f8(f906(x103934,f906(x103931,a895)),f906(x103931,a895),x103932),f836(f35(x103934,f906(x103931,a895)),x103935)),x103936))),x103937))
% 190.77/190.69 [9252]E(x92521,x92522)+~P108(x92524)+~P24(x92523,x92524,x92525,f836(f836(f91(f906(x92523,a895)),f836(f162(x92523),x92521)),f836(f162(x92523),x92522)))+~E(f836(f162(x92523),x92521),f836(f162(x92523),x92522))+~P13(x92524,f836(f836(f144(x92523,x92524),x92525),x92522))+~P13(x92524,f836(f836(f144(x92523,x92524),x92525),x92521))+~P1(f836(f127(x92524),f836(f836(f144(x92523,x92524),x92525),x92522)))+~P1(f836(f127(x92524),f836(f836(f144(x92523,x92524),x92525),x92521)))
% 190.77/190.69 %EqnAxiom
% 190.77/190.69 [1]E(x11,x11)
% 190.77/190.69 [2]E(x22,x21)+~E(x21,x22)
% 190.77/190.69 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 190.77/190.69 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 190.77/190.69 [5]~E(x51,x52)+E(f90(x51),f90(x52))
% 190.77/190.69 [6]~E(x61,x62)+E(f23(x61),f23(x62))
% 190.77/190.69 [7]~E(x71,x72)+E(f178(x71),f178(x72))
% 190.77/190.69 [8]~E(x81,x82)+E(f836(x81,x83),f836(x82,x83))
% 190.77/190.69 [9]~E(x91,x92)+E(f836(x93,x91),f836(x93,x92))
% 190.77/190.69 [10]~E(x101,x102)+E(f223(x101),f223(x102))
% 190.77/190.69 [11]~E(x111,x112)+E(f91(x111),f91(x112))
% 190.77/190.69 [12]~E(x121,x122)+E(f228(x121),f228(x122))
% 190.77/190.69 [13]~E(x131,x132)+E(f92(x131),f92(x132))
% 190.77/190.69 [14]~E(x141,x142)+E(f93(x141),f93(x142))
% 190.77/190.69 [15]~E(x151,x152)+E(f25(x151),f25(x152))
% 190.77/190.69 [16]~E(x161,x162)+E(f78(x161),f78(x162))
% 190.77/190.69 [17]~E(x171,x172)+E(f900(x171),f900(x172))
% 190.77/190.69 [18]~E(x181,x182)+E(f73(x181),f73(x182))
% 190.77/190.69 [19]~E(x191,x192)+E(f29(x191),f29(x192))
% 190.77/190.69 [20]~E(x201,x202)+E(f442(x201,x203,x204,x205,x206,x207,x208,x209,x2010,x2011,x2012),f442(x202,x203,x204,x205,x206,x207,x208,x209,x2010,x2011,x2012))
% 190.77/190.69 [21]~E(x211,x212)+E(f442(x213,x211,x214,x215,x216,x217,x218,x219,x2110,x2111,x2112),f442(x213,x212,x214,x215,x216,x217,x218,x219,x2110,x2111,x2112))
% 190.77/190.69 [22]~E(x221,x222)+E(f442(x223,x224,x221,x225,x226,x227,x228,x229,x2210,x2211,x2212),f442(x223,x224,x222,x225,x226,x227,x228,x229,x2210,x2211,x2212))
% 190.77/190.69 [23]~E(x231,x232)+E(f442(x233,x234,x235,x231,x236,x237,x238,x239,x2310,x2311,x2312),f442(x233,x234,x235,x232,x236,x237,x238,x239,x2310,x2311,x2312))
% 190.77/190.69 [24]~E(x241,x242)+E(f442(x243,x244,x245,x246,x241,x247,x248,x249,x2410,x2411,x2412),f442(x243,x244,x245,x246,x242,x247,x248,x249,x2410,x2411,x2412))
% 190.77/190.69 [25]~E(x251,x252)+E(f442(x253,x254,x255,x256,x257,x251,x258,x259,x2510,x2511,x2512),f442(x253,x254,x255,x256,x257,x252,x258,x259,x2510,x2511,x2512))
% 190.77/190.69 [26]~E(x261,x262)+E(f442(x263,x264,x265,x266,x267,x268,x261,x269,x2610,x2611,x2612),f442(x263,x264,x265,x266,x267,x268,x262,x269,x2610,x2611,x2612))
% 190.77/190.69 [27]~E(x271,x272)+E(f442(x273,x274,x275,x276,x277,x278,x279,x271,x2710,x2711,x2712),f442(x273,x274,x275,x276,x277,x278,x279,x272,x2710,x2711,x2712))
% 190.77/190.69 [28]~E(x281,x282)+E(f442(x283,x284,x285,x286,x287,x288,x289,x2810,x281,x2811,x2812),f442(x283,x284,x285,x286,x287,x288,x289,x2810,x282,x2811,x2812))
% 190.77/190.69 [29]~E(x291,x292)+E(f442(x293,x294,x295,x296,x297,x298,x299,x2910,x2911,x291,x2912),f442(x293,x294,x295,x296,x297,x298,x299,x2910,x2911,x292,x2912))
% 190.77/190.69 [30]~E(x301,x302)+E(f442(x303,x304,x305,x306,x307,x308,x309,x3010,x3011,x3012,x301),f442(x303,x304,x305,x306,x307,x308,x309,x3010,x3011,x3012,x302))
% 190.77/190.69 [31]~E(x311,x312)+E(f72(x311),f72(x312))
% 190.77/190.69 [32]~E(x321,x322)+E(f179(x321),f179(x322))
% 190.77/190.69 [33]~E(x331,x332)+E(f4(x331),f4(x332))
% 190.77/190.69 [34]~E(x341,x342)+E(f441(x341,x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412),f441(x342,x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412))
% 190.77/190.69 [35]~E(x351,x352)+E(f441(x353,x351,x354,x355,x356,x357,x358,x359,x3510,x3511,x3512),f441(x353,x352,x354,x355,x356,x357,x358,x359,x3510,x3511,x3512))
% 190.77/190.69 [36]~E(x361,x362)+E(f441(x363,x364,x361,x365,x366,x367,x368,x369,x3610,x3611,x3612),f441(x363,x364,x362,x365,x366,x367,x368,x369,x3610,x3611,x3612))
% 190.77/190.69 [37]~E(x371,x372)+E(f441(x373,x374,x375,x371,x376,x377,x378,x379,x3710,x3711,x3712),f441(x373,x374,x375,x372,x376,x377,x378,x379,x3710,x3711,x3712))
% 190.77/190.69 [38]~E(x381,x382)+E(f441(x383,x384,x385,x386,x381,x387,x388,x389,x3810,x3811,x3812),f441(x383,x384,x385,x386,x382,x387,x388,x389,x3810,x3811,x3812))
% 190.77/190.69 [39]~E(x391,x392)+E(f441(x393,x394,x395,x396,x397,x391,x398,x399,x3910,x3911,x3912),f441(x393,x394,x395,x396,x397,x392,x398,x399,x3910,x3911,x3912))
% 190.77/190.69 [40]~E(x401,x402)+E(f441(x403,x404,x405,x406,x407,x408,x401,x409,x4010,x4011,x4012),f441(x403,x404,x405,x406,x407,x408,x402,x409,x4010,x4011,x4012))
% 190.77/190.69 [41]~E(x411,x412)+E(f441(x413,x414,x415,x416,x417,x418,x419,x411,x4110,x4111,x4112),f441(x413,x414,x415,x416,x417,x418,x419,x412,x4110,x4111,x4112))
% 190.77/190.69 [42]~E(x421,x422)+E(f441(x423,x424,x425,x426,x427,x428,x429,x4210,x421,x4211,x4212),f441(x423,x424,x425,x426,x427,x428,x429,x4210,x422,x4211,x4212))
% 190.77/190.69 [43]~E(x431,x432)+E(f441(x433,x434,x435,x436,x437,x438,x439,x4310,x4311,x431,x4312),f441(x433,x434,x435,x436,x437,x438,x439,x4310,x4311,x432,x4312))
% 190.77/190.69 [44]~E(x441,x442)+E(f441(x443,x444,x445,x446,x447,x448,x449,x4410,x4411,x4412,x441),f441(x443,x444,x445,x446,x447,x448,x449,x4410,x4411,x4412,x442))
% 190.77/190.69 [45]~E(x451,x452)+E(f318(x451),f318(x452))
% 190.77/190.69 [46]~E(x461,x462)+E(f101(x461),f101(x462))
% 190.77/190.69 [47]~E(x471,x472)+E(f906(x471,x473),f906(x472,x473))
% 190.77/190.69 [48]~E(x481,x482)+E(f906(x483,x481),f906(x483,x482))
% 190.77/190.69 [49]~E(x491,x492)+E(f902(x491),f902(x492))
% 190.77/190.69 [50]~E(x501,x502)+E(f225(x501),f225(x502))
% 190.77/190.69 [51]~E(x511,x512)+E(f901(x511),f901(x512))
% 190.77/190.69 [52]~E(x521,x522)+E(f162(x521),f162(x522))
% 190.77/190.69 [53]~E(x531,x532)+E(f11(x531,x533,x534),f11(x532,x533,x534))
% 190.77/190.69 [54]~E(x541,x542)+E(f11(x543,x541,x544),f11(x543,x542,x544))
% 190.77/190.69 [55]~E(x551,x552)+E(f11(x553,x554,x551),f11(x553,x554,x552))
% 190.77/190.69 [56]~E(x561,x562)+E(f94(x561),f94(x562))
% 190.77/190.69 [57]~E(x571,x572)+E(f8(x571,x573,x574),f8(x572,x573,x574))
% 190.77/190.69 [58]~E(x581,x582)+E(f8(x583,x581,x584),f8(x583,x582,x584))
% 190.77/190.69 [59]~E(x591,x592)+E(f8(x593,x594,x591),f8(x593,x594,x592))
% 190.77/190.69 [60]~E(x601,x602)+E(f242(x601,x603),f242(x602,x603))
% 190.77/190.69 [61]~E(x611,x612)+E(f242(x613,x611),f242(x613,x612))
% 190.77/190.69 [62]~E(x621,x622)+E(f905(x621,x623),f905(x622,x623))
% 190.77/190.69 [63]~E(x631,x632)+E(f905(x633,x631),f905(x633,x632))
% 190.77/190.69 [64]~E(x641,x642)+E(f58(x641,x643),f58(x642,x643))
% 190.77/190.69 [65]~E(x651,x652)+E(f58(x653,x651),f58(x653,x652))
% 190.77/190.69 [66]~E(x661,x662)+E(f7(x661,x663,x664),f7(x662,x663,x664))
% 190.77/190.69 [67]~E(x671,x672)+E(f7(x673,x671,x674),f7(x673,x672,x674))
% 190.77/190.69 [68]~E(x681,x682)+E(f7(x683,x684,x681),f7(x683,x684,x682))
% 190.77/190.69 [69]~E(x691,x692)+E(f154(x691),f154(x692))
% 190.77/190.69 [70]~E(x701,x702)+E(f224(x701),f224(x702))
% 190.77/190.69 [71]~E(x711,x712)+E(f75(x711),f75(x712))
% 190.77/190.69 [72]~E(x721,x722)+E(f56(x721),f56(x722))
% 190.77/190.69 [73]~E(x731,x732)+E(f299(x731),f299(x732))
% 190.77/190.69 [74]~E(x741,x742)+E(f281(x741),f281(x742))
% 190.77/190.69 [75]~E(x751,x752)+E(f135(x751,x753),f135(x752,x753))
% 190.77/190.69 [76]~E(x761,x762)+E(f135(x763,x761),f135(x763,x762))
% 190.77/190.69 [77]~E(x771,x772)+E(f844(x771,x773,x774),f844(x772,x773,x774))
% 190.77/190.69 [78]~E(x781,x782)+E(f844(x783,x781,x784),f844(x783,x782,x784))
% 190.77/190.69 [79]~E(x791,x792)+E(f844(x793,x794,x791),f844(x793,x794,x792))
% 190.77/190.69 [80]~E(x801,x802)+E(f74(x801),f74(x802))
% 190.77/190.69 [81]~E(x811,x812)+E(f742(x811,x813,x814),f742(x812,x813,x814))
% 190.77/190.69 [82]~E(x821,x822)+E(f742(x823,x821,x824),f742(x823,x822,x824))
% 190.77/190.69 [83]~E(x831,x832)+E(f742(x833,x834,x831),f742(x833,x834,x832))
% 190.77/190.69 [84]~E(x841,x842)+E(f44(x841,x843),f44(x842,x843))
% 190.77/190.69 [85]~E(x851,x852)+E(f44(x853,x851),f44(x853,x852))
% 190.77/190.69 [86]~E(x861,x862)+E(f820(x861,x863,x864),f820(x862,x863,x864))
% 190.77/190.69 [87]~E(x871,x872)+E(f820(x873,x871,x874),f820(x873,x872,x874))
% 190.77/190.69 [88]~E(x881,x882)+E(f820(x883,x884,x881),f820(x883,x884,x882))
% 190.77/190.69 [89]~E(x891,x892)+E(f69(x891,x893,x894,x895,x896),f69(x892,x893,x894,x895,x896))
% 190.77/190.69 [90]~E(x901,x902)+E(f69(x903,x901,x904,x905,x906),f69(x903,x902,x904,x905,x906))
% 190.77/190.69 [91]~E(x911,x912)+E(f69(x913,x914,x911,x915,x916),f69(x913,x914,x912,x915,x916))
% 190.77/190.69 [92]~E(x921,x922)+E(f69(x923,x924,x925,x921,x926),f69(x923,x924,x925,x922,x926))
% 190.77/190.69 [93]~E(x931,x932)+E(f69(x933,x934,x935,x936,x931),f69(x933,x934,x935,x936,x932))
% 190.77/190.69 [94]~E(x941,x942)+E(f134(x941,x943),f134(x942,x943))
% 190.77/190.69 [95]~E(x951,x952)+E(f134(x953,x951),f134(x953,x952))
% 190.77/190.69 [96]~E(x961,x962)+E(f276(x961,x963),f276(x962,x963))
% 190.77/190.69 [97]~E(x971,x972)+E(f276(x973,x971),f276(x973,x972))
% 190.77/190.69 [98]~E(x981,x982)+E(f6(x981,x983),f6(x982,x983))
% 190.77/190.69 [99]~E(x991,x992)+E(f6(x993,x991),f6(x993,x992))
% 190.77/190.69 [100]~E(x1001,x1002)+E(f100(x1001),f100(x1002))
% 190.77/190.69 [101]~E(x1011,x1012)+E(f79(x1011,x1013),f79(x1012,x1013))
% 190.77/190.69 [102]~E(x1021,x1022)+E(f79(x1023,x1021),f79(x1023,x1022))
% 190.77/190.69 [103]~E(x1031,x1032)+E(f808(x1031,x1033,x1034),f808(x1032,x1033,x1034))
% 190.77/190.69 [104]~E(x1041,x1042)+E(f808(x1043,x1041,x1044),f808(x1043,x1042,x1044))
% 190.77/190.69 [105]~E(x1051,x1052)+E(f808(x1053,x1054,x1051),f808(x1053,x1054,x1052))
% 190.77/190.69 [106]~E(x1061,x1062)+E(f124(x1061),f124(x1062))
% 190.77/190.69 [107]~E(x1071,x1072)+E(f18(x1071,x1073,x1074),f18(x1072,x1073,x1074))
% 190.77/190.69 [108]~E(x1081,x1082)+E(f18(x1083,x1081,x1084),f18(x1083,x1082,x1084))
% 190.77/190.69 [109]~E(x1091,x1092)+E(f18(x1093,x1094,x1091),f18(x1093,x1094,x1092))
% 190.77/190.69 [110]~E(x1101,x1102)+E(f9(x1101,x1103),f9(x1102,x1103))
% 190.77/190.69 [111]~E(x1111,x1112)+E(f9(x1113,x1111),f9(x1113,x1112))
% 190.77/190.69 [112]~E(x1121,x1122)+E(f234(x1121),f234(x1122))
% 190.77/190.69 [113]~E(x1131,x1132)+E(f277(x1131),f277(x1132))
% 190.77/190.69 [114]~E(x1141,x1142)+E(f707(x1141,x1143),f707(x1142,x1143))
% 190.77/190.69 [115]~E(x1151,x1152)+E(f707(x1153,x1151),f707(x1153,x1152))
% 190.77/190.69 [116]~E(x1161,x1162)+E(f282(x1161,x1163),f282(x1162,x1163))
% 190.77/190.69 [117]~E(x1171,x1172)+E(f282(x1173,x1171),f282(x1173,x1172))
% 190.77/190.69 [118]~E(x1181,x1182)+E(f126(x1181,x1183),f126(x1182,x1183))
% 190.77/190.69 [119]~E(x1191,x1192)+E(f126(x1193,x1191),f126(x1193,x1192))
% 190.77/190.69 [120]~E(x1201,x1202)+E(f279(x1201,x1203,x1204),f279(x1202,x1203,x1204))
% 190.77/190.69 [121]~E(x1211,x1212)+E(f279(x1213,x1211,x1214),f279(x1213,x1212,x1214))
% 190.77/190.69 [122]~E(x1221,x1222)+E(f279(x1223,x1224,x1221),f279(x1223,x1224,x1222))
% 190.77/190.69 [123]~E(x1231,x1232)+E(f41(x1231,x1233,x1234),f41(x1232,x1233,x1234))
% 190.77/190.69 [124]~E(x1241,x1242)+E(f41(x1243,x1241,x1244),f41(x1243,x1242,x1244))
% 190.77/190.69 [125]~E(x1251,x1252)+E(f41(x1253,x1254,x1251),f41(x1253,x1254,x1252))
% 190.77/190.69 [126]~E(x1261,x1262)+E(f171(x1261,x1263),f171(x1262,x1263))
% 190.77/190.69 [127]~E(x1271,x1272)+E(f171(x1273,x1271),f171(x1273,x1272))
% 190.77/190.69 [128]~E(x1281,x1282)+E(f70(x1281),f70(x1282))
% 190.77/190.69 [129]~E(x1291,x1292)+E(f141(x1291),f141(x1292))
% 190.77/190.69 [130]~E(x1301,x1302)+E(f252(x1301),f252(x1302))
% 190.77/190.69 [131]~E(x1311,x1312)+E(f14(x1311,x1313),f14(x1312,x1313))
% 190.77/190.69 [132]~E(x1321,x1322)+E(f14(x1323,x1321),f14(x1323,x1322))
% 190.77/190.69 [133]~E(x1331,x1332)+E(f96(x1331),f96(x1332))
% 190.77/190.69 [134]~E(x1341,x1342)+E(f98(x1341),f98(x1342))
% 190.77/190.69 [135]~E(x1351,x1352)+E(f317(x1351),f317(x1352))
% 190.77/190.69 [136]~E(x1361,x1362)+E(f103(x1361),f103(x1362))
% 190.77/190.69 [137]~E(x1371,x1372)+E(f510(x1371),f510(x1372))
% 190.77/190.69 [138]~E(x1381,x1382)+E(f889(x1381,x1383),f889(x1382,x1383))
% 190.77/190.69 [139]~E(x1391,x1392)+E(f889(x1393,x1391),f889(x1393,x1392))
% 190.77/190.69 [140]~E(x1401,x1402)+E(f232(x1401),f232(x1402))
% 190.77/190.69 [141]~E(x1411,x1412)+E(f231(x1411,x1413),f231(x1412,x1413))
% 190.77/190.69 [142]~E(x1421,x1422)+E(f231(x1423,x1421),f231(x1423,x1422))
% 190.77/190.69 [143]~E(x1431,x1432)+E(f297(x1431,x1433),f297(x1432,x1433))
% 190.77/190.69 [144]~E(x1441,x1442)+E(f297(x1443,x1441),f297(x1443,x1442))
% 190.77/190.69 [145]~E(x1451,x1452)+E(f85(x1451,x1453,x1454,x1455),f85(x1452,x1453,x1454,x1455))
% 190.77/190.69 [146]~E(x1461,x1462)+E(f85(x1463,x1461,x1464,x1465),f85(x1463,x1462,x1464,x1465))
% 190.77/190.69 [147]~E(x1471,x1472)+E(f85(x1473,x1474,x1471,x1475),f85(x1473,x1474,x1472,x1475))
% 190.77/190.69 [148]~E(x1481,x1482)+E(f85(x1483,x1484,x1485,x1481),f85(x1483,x1484,x1485,x1482))
% 190.77/190.69 [149]~E(x1491,x1492)+E(f300(x1491,x1493,x1494),f300(x1492,x1493,x1494))
% 190.77/190.69 [150]~E(x1501,x1502)+E(f300(x1503,x1501,x1504),f300(x1503,x1502,x1504))
% 190.77/190.69 [151]~E(x1511,x1512)+E(f300(x1513,x1514,x1511),f300(x1513,x1514,x1512))
% 190.77/190.69 [152]~E(x1521,x1522)+E(f30(x1521),f30(x1522))
% 190.77/190.69 [153]~E(x1531,x1532)+E(f5(x1531),f5(x1532))
% 190.77/190.69 [154]~E(x1541,x1542)+E(f256(x1541,x1543),f256(x1542,x1543))
% 190.77/190.69 [155]~E(x1551,x1552)+E(f256(x1553,x1551),f256(x1553,x1552))
% 190.77/190.69 [156]~E(x1561,x1562)+E(f244(x1561,x1563),f244(x1562,x1563))
% 190.77/190.69 [157]~E(x1571,x1572)+E(f244(x1573,x1571),f244(x1573,x1572))
% 190.77/190.69 [158]~E(x1581,x1582)+E(f160(x1581,x1583,x1584),f160(x1582,x1583,x1584))
% 190.77/190.69 [159]~E(x1591,x1592)+E(f160(x1593,x1591,x1594),f160(x1593,x1592,x1594))
% 190.77/190.69 [160]~E(x1601,x1602)+E(f160(x1603,x1604,x1601),f160(x1603,x1604,x1602))
% 190.77/190.69 [161]~E(x1611,x1612)+E(f36(x1611,x1613),f36(x1612,x1613))
% 190.77/190.69 [162]~E(x1621,x1622)+E(f36(x1623,x1621),f36(x1623,x1622))
% 190.77/190.69 [163]~E(x1631,x1632)+E(f615(x1631,x1633,x1634,x1635,x1636),f615(x1632,x1633,x1634,x1635,x1636))
% 190.77/190.69 [164]~E(x1641,x1642)+E(f615(x1643,x1641,x1644,x1645,x1646),f615(x1643,x1642,x1644,x1645,x1646))
% 190.77/190.69 [165]~E(x1651,x1652)+E(f615(x1653,x1654,x1651,x1655,x1656),f615(x1653,x1654,x1652,x1655,x1656))
% 190.77/190.69 [166]~E(x1661,x1662)+E(f615(x1663,x1664,x1665,x1661,x1666),f615(x1663,x1664,x1665,x1662,x1666))
% 190.77/190.69 [167]~E(x1671,x1672)+E(f615(x1673,x1674,x1675,x1676,x1671),f615(x1673,x1674,x1675,x1676,x1672))
% 190.77/190.69 [168]~E(x1681,x1682)+E(f486(x1681,x1683,x1684),f486(x1682,x1683,x1684))
% 190.77/190.69 [169]~E(x1691,x1692)+E(f486(x1693,x1691,x1694),f486(x1693,x1692,x1694))
% 190.77/190.69 [170]~E(x1701,x1702)+E(f486(x1703,x1704,x1701),f486(x1703,x1704,x1702))
% 190.77/190.69 [171]~E(x1711,x1712)+E(f841(x1711,x1713,x1714),f841(x1712,x1713,x1714))
% 190.77/190.69 [172]~E(x1721,x1722)+E(f841(x1723,x1721,x1724),f841(x1723,x1722,x1724))
% 190.77/190.69 [173]~E(x1731,x1732)+E(f841(x1733,x1734,x1731),f841(x1733,x1734,x1732))
% 190.77/190.69 [174]~E(x1741,x1742)+E(f199(x1741,x1743,x1744,x1745),f199(x1742,x1743,x1744,x1745))
% 190.77/190.69 [175]~E(x1751,x1752)+E(f199(x1753,x1751,x1754,x1755),f199(x1753,x1752,x1754,x1755))
% 190.77/190.69 [176]~E(x1761,x1762)+E(f199(x1763,x1764,x1761,x1765),f199(x1763,x1764,x1762,x1765))
% 190.77/190.69 [177]~E(x1771,x1772)+E(f199(x1773,x1774,x1775,x1771),f199(x1773,x1774,x1775,x1772))
% 190.77/190.69 [178]~E(x1781,x1782)+E(f275(x1781,x1783,x1784),f275(x1782,x1783,x1784))
% 190.77/190.69 [179]~E(x1791,x1792)+E(f275(x1793,x1791,x1794),f275(x1793,x1792,x1794))
% 190.77/190.69 [180]~E(x1801,x1802)+E(f275(x1803,x1804,x1801),f275(x1803,x1804,x1802))
% 190.77/190.69 [181]~E(x1811,x1812)+E(f144(x1811,x1813),f144(x1812,x1813))
% 190.77/190.69 [182]~E(x1821,x1822)+E(f144(x1823,x1821),f144(x1823,x1822))
% 190.77/190.69 [183]~E(x1831,x1832)+E(f291(x1831),f291(x1832))
% 190.77/190.69 [184]~E(x1841,x1842)+E(f272(x1841),f272(x1842))
% 190.77/190.69 [185]~E(x1851,x1852)+E(f543(x1851,x1853,x1854),f543(x1852,x1853,x1854))
% 190.77/190.69 [186]~E(x1861,x1862)+E(f543(x1863,x1861,x1864),f543(x1863,x1862,x1864))
% 190.77/190.69 [187]~E(x1871,x1872)+E(f543(x1873,x1874,x1871),f543(x1873,x1874,x1872))
% 190.77/190.69 [188]~E(x1881,x1882)+E(f149(x1881,x1883),f149(x1882,x1883))
% 190.77/190.69 [189]~E(x1891,x1892)+E(f149(x1893,x1891),f149(x1893,x1892))
% 190.77/190.69 [190]~E(x1901,x1902)+E(f157(x1901),f157(x1902))
% 190.77/190.69 [191]~E(x1911,x1912)+E(f86(x1911),f86(x1912))
% 190.77/190.69 [192]~E(x1921,x1922)+E(f15(x1921,x1923),f15(x1922,x1923))
% 190.77/190.69 [193]~E(x1931,x1932)+E(f15(x1933,x1931),f15(x1933,x1932))
% 190.77/190.69 [194]~E(x1941,x1942)+E(f16(x1941,x1943),f16(x1942,x1943))
% 190.77/190.69 [195]~E(x1951,x1952)+E(f16(x1953,x1951),f16(x1953,x1952))
% 190.77/190.69 [196]~E(x1961,x1962)+E(f174(x1961,x1963,x1964),f174(x1962,x1963,x1964))
% 190.77/190.69 [197]~E(x1971,x1972)+E(f174(x1973,x1971,x1974),f174(x1973,x1972,x1974))
% 190.77/190.69 [198]~E(x1981,x1982)+E(f174(x1983,x1984,x1981),f174(x1983,x1984,x1982))
% 190.77/190.69 [199]~E(x1991,x1992)+E(f81(x1991),f81(x1992))
% 190.77/190.69 [200]~E(x2001,x2002)+E(f842(x2001,x2003,x2004),f842(x2002,x2003,x2004))
% 190.77/190.69 [201]~E(x2011,x2012)+E(f842(x2013,x2011,x2014),f842(x2013,x2012,x2014))
% 190.77/190.69 [202]~E(x2021,x2022)+E(f842(x2023,x2024,x2021),f842(x2023,x2024,x2022))
% 190.77/190.69 [203]~E(x2031,x2032)+E(f647(x2031,x2033),f647(x2032,x2033))
% 190.77/190.69 [204]~E(x2041,x2042)+E(f647(x2043,x2041),f647(x2043,x2042))
% 190.77/190.69 [205]~E(x2051,x2052)+E(f186(x2051,x2053,x2054,x2055),f186(x2052,x2053,x2054,x2055))
% 190.77/190.69 [206]~E(x2061,x2062)+E(f186(x2063,x2061,x2064,x2065),f186(x2063,x2062,x2064,x2065))
% 190.77/190.69 [207]~E(x2071,x2072)+E(f186(x2073,x2074,x2071,x2075),f186(x2073,x2074,x2072,x2075))
% 190.77/190.69 [208]~E(x2081,x2082)+E(f186(x2083,x2084,x2085,x2081),f186(x2083,x2084,x2085,x2082))
% 190.77/190.69 [209]~E(x2091,x2092)+E(f12(x2091,x2093,x2094),f12(x2092,x2093,x2094))
% 190.77/190.69 [210]~E(x2101,x2102)+E(f12(x2103,x2101,x2104),f12(x2103,x2102,x2104))
% 190.77/190.69 [211]~E(x2111,x2112)+E(f12(x2113,x2114,x2111),f12(x2113,x2114,x2112))
% 190.77/190.69 [212]~E(x2121,x2122)+E(f31(x2121),f31(x2122))
% 190.77/190.69 [213]~E(x2131,x2132)+E(f204(x2131,x2133),f204(x2132,x2133))
% 190.77/190.69 [214]~E(x2141,x2142)+E(f204(x2143,x2141),f204(x2143,x2142))
% 190.77/190.69 [215]~E(x2151,x2152)+E(f35(x2151,x2153),f35(x2152,x2153))
% 190.77/190.69 [216]~E(x2161,x2162)+E(f35(x2163,x2161),f35(x2163,x2162))
% 190.77/190.69 [217]~E(x2171,x2172)+E(f32(x2171,x2173),f32(x2172,x2173))
% 190.77/190.69 [218]~E(x2181,x2182)+E(f32(x2183,x2181),f32(x2183,x2182))
% 190.77/190.69 [219]~E(x2191,x2192)+E(f678(x2191,x2193,x2194),f678(x2192,x2193,x2194))
% 190.77/190.69 [220]~E(x2201,x2202)+E(f678(x2203,x2201,x2204),f678(x2203,x2202,x2204))
% 190.77/190.69 [221]~E(x2211,x2212)+E(f678(x2213,x2214,x2211),f678(x2213,x2214,x2212))
% 190.77/190.69 [222]~E(x2221,x2222)+E(f293(x2221,x2223,x2224),f293(x2222,x2223,x2224))
% 190.77/190.69 [223]~E(x2231,x2232)+E(f293(x2233,x2231,x2234),f293(x2233,x2232,x2234))
% 190.77/190.69 [224]~E(x2241,x2242)+E(f293(x2243,x2244,x2241),f293(x2243,x2244,x2242))
% 190.77/190.69 [225]~E(x2251,x2252)+E(f131(x2251),f131(x2252))
% 190.77/190.69 [226]~E(x2261,x2262)+E(f33(x2261,x2263),f33(x2262,x2263))
% 190.77/190.69 [227]~E(x2271,x2272)+E(f33(x2273,x2271),f33(x2273,x2272))
% 190.77/190.69 [228]~E(x2281,x2282)+E(f322(x2281),f322(x2282))
% 190.77/190.69 [229]~E(x2291,x2292)+E(f683(x2291,x2293),f683(x2292,x2293))
% 190.77/190.69 [230]~E(x2301,x2302)+E(f683(x2303,x2301),f683(x2303,x2302))
% 190.77/190.69 [231]~E(x2311,x2312)+E(f168(x2311,x2313),f168(x2312,x2313))
% 190.77/190.69 [232]~E(x2321,x2322)+E(f168(x2323,x2321),f168(x2323,x2322))
% 190.77/190.69 [233]~E(x2331,x2332)+E(f43(x2331,x2333),f43(x2332,x2333))
% 190.77/190.69 [234]~E(x2341,x2342)+E(f43(x2343,x2341),f43(x2343,x2342))
% 190.77/190.69 [235]~E(x2351,x2352)+E(f104(x2351,x2353),f104(x2352,x2353))
% 190.77/190.69 [236]~E(x2361,x2362)+E(f104(x2363,x2361),f104(x2363,x2362))
% 190.77/190.69 [237]~E(x2371,x2372)+E(f151(x2371,x2373),f151(x2372,x2373))
% 190.77/190.69 [238]~E(x2381,x2382)+E(f151(x2383,x2381),f151(x2383,x2382))
% 190.77/190.69 [239]~E(x2391,x2392)+E(f797(x2391,x2393),f797(x2392,x2393))
% 190.77/190.69 [240]~E(x2401,x2402)+E(f797(x2403,x2401),f797(x2403,x2402))
% 190.77/190.69 [241]~E(x2411,x2412)+E(f142(x2411,x2413),f142(x2412,x2413))
% 190.77/190.69 [242]~E(x2421,x2422)+E(f142(x2423,x2421),f142(x2423,x2422))
% 190.77/190.69 [243]~E(x2431,x2432)+E(f132(x2431,x2433,x2434,x2435),f132(x2432,x2433,x2434,x2435))
% 190.77/190.69 [244]~E(x2441,x2442)+E(f132(x2443,x2441,x2444,x2445),f132(x2443,x2442,x2444,x2445))
% 190.77/190.69 [245]~E(x2451,x2452)+E(f132(x2453,x2454,x2451,x2455),f132(x2453,x2454,x2452,x2455))
% 190.77/190.69 [246]~E(x2461,x2462)+E(f132(x2463,x2464,x2465,x2461),f132(x2463,x2464,x2465,x2462))
% 190.77/190.69 [247]~E(x2471,x2472)+E(f181(x2471),f181(x2472))
% 190.77/190.69 [248]~E(x2481,x2482)+E(f682(x2481,x2483),f682(x2482,x2483))
% 190.77/190.69 [249]~E(x2491,x2492)+E(f682(x2493,x2491),f682(x2493,x2492))
% 190.77/190.69 [250]~E(x2501,x2502)+E(f105(x2501),f105(x2502))
% 190.77/190.69 [251]~E(x2511,x2512)+E(f904(x2511,x2513),f904(x2512,x2513))
% 190.77/190.69 [252]~E(x2521,x2522)+E(f904(x2523,x2521),f904(x2523,x2522))
% 190.77/190.69 [253]~E(x2531,x2532)+E(f67(x2531,x2533,x2534,x2535),f67(x2532,x2533,x2534,x2535))
% 190.77/190.69 [254]~E(x2541,x2542)+E(f67(x2543,x2541,x2544,x2545),f67(x2543,x2542,x2544,x2545))
% 190.77/190.69 [255]~E(x2551,x2552)+E(f67(x2553,x2554,x2551,x2555),f67(x2553,x2554,x2552,x2555))
% 190.77/190.69 [256]~E(x2561,x2562)+E(f67(x2563,x2564,x2565,x2561),f67(x2563,x2564,x2565,x2562))
% 190.77/190.69 [257]~E(x2571,x2572)+E(f903(x2571,x2573),f903(x2572,x2573))
% 190.77/190.69 [258]~E(x2581,x2582)+E(f903(x2583,x2581),f903(x2583,x2582))
% 190.77/190.69 [259]~E(x2591,x2592)+E(f878(x2591,x2593,x2594),f878(x2592,x2593,x2594))
% 190.77/190.69 [260]~E(x2601,x2602)+E(f878(x2603,x2601,x2604),f878(x2603,x2602,x2604))
% 190.77/190.69 [261]~E(x2611,x2612)+E(f878(x2613,x2614,x2611),f878(x2613,x2614,x2612))
% 190.77/190.69 [262]~E(x2621,x2622)+E(f489(x2621,x2623),f489(x2622,x2623))
% 190.77/190.69 [263]~E(x2631,x2632)+E(f489(x2633,x2631),f489(x2633,x2632))
% 190.77/190.69 [264]~E(x2641,x2642)+E(f612(x2641,x2643,x2644),f612(x2642,x2643,x2644))
% 190.77/190.69 [265]~E(x2651,x2652)+E(f612(x2653,x2651,x2654),f612(x2653,x2652,x2654))
% 190.77/190.69 [266]~E(x2661,x2662)+E(f612(x2663,x2664,x2661),f612(x2663,x2664,x2662))
% 190.77/190.69 [267]~E(x2671,x2672)+E(f129(x2671,x2673),f129(x2672,x2673))
% 190.77/190.69 [268]~E(x2681,x2682)+E(f129(x2683,x2681),f129(x2683,x2682))
% 190.77/190.69 [269]~E(x2691,x2692)+E(f161(x2691),f161(x2692))
% 190.77/190.69 [270]~E(x2701,x2702)+E(f138(x2701,x2703,x2704),f138(x2702,x2703,x2704))
% 190.77/190.69 [271]~E(x2711,x2712)+E(f138(x2713,x2711,x2714),f138(x2713,x2712,x2714))
% 190.77/190.69 [272]~E(x2721,x2722)+E(f138(x2723,x2724,x2721),f138(x2723,x2724,x2722))
% 190.77/190.69 [273]~E(x2731,x2732)+E(f187(x2731,x2733,x2734,x2735),f187(x2732,x2733,x2734,x2735))
% 190.77/190.69 [274]~E(x2741,x2742)+E(f187(x2743,x2741,x2744,x2745),f187(x2743,x2742,x2744,x2745))
% 190.77/190.69 [275]~E(x2751,x2752)+E(f187(x2753,x2754,x2751,x2755),f187(x2753,x2754,x2752,x2755))
% 190.77/190.69 [276]~E(x2761,x2762)+E(f187(x2763,x2764,x2765,x2761),f187(x2763,x2764,x2765,x2762))
% 190.77/190.69 [277]~E(x2771,x2772)+E(f880(x2771,x2773,x2774,x2775),f880(x2772,x2773,x2774,x2775))
% 190.77/190.69 [278]~E(x2781,x2782)+E(f880(x2783,x2781,x2784,x2785),f880(x2783,x2782,x2784,x2785))
% 190.77/190.69 [279]~E(x2791,x2792)+E(f880(x2793,x2794,x2791,x2795),f880(x2793,x2794,x2792,x2795))
% 190.77/190.69 [280]~E(x2801,x2802)+E(f880(x2803,x2804,x2805,x2801),f880(x2803,x2804,x2805,x2802))
% 190.77/190.69 [281]~E(x2811,x2812)+E(f158(x2811),f158(x2812))
% 190.77/190.69 [282]~E(x2821,x2822)+E(f147(x2821,x2823),f147(x2822,x2823))
% 190.77/190.69 [283]~E(x2831,x2832)+E(f147(x2833,x2831),f147(x2833,x2832))
% 190.77/190.69 [284]~E(x2841,x2842)+E(f42(x2841,x2843),f42(x2842,x2843))
% 190.77/190.69 [285]~E(x2851,x2852)+E(f42(x2853,x2851),f42(x2853,x2852))
% 190.77/190.69 [286]~E(x2861,x2862)+E(f173(x2861,x2863),f173(x2862,x2863))
% 190.77/190.69 [287]~E(x2871,x2872)+E(f173(x2873,x2871),f173(x2873,x2872))
% 190.77/190.69 [288]~E(x2881,x2882)+E(f893(x2881,x2883,x2884,x2885),f893(x2882,x2883,x2884,x2885))
% 190.77/190.69 [289]~E(x2891,x2892)+E(f893(x2893,x2891,x2894,x2895),f893(x2893,x2892,x2894,x2895))
% 190.77/190.69 [290]~E(x2901,x2902)+E(f893(x2903,x2904,x2901,x2905),f893(x2903,x2904,x2902,x2905))
% 190.77/190.69 [291]~E(x2911,x2912)+E(f893(x2913,x2914,x2915,x2911),f893(x2913,x2914,x2915,x2912))
% 190.77/190.69 [292]~E(x2921,x2922)+E(f485(x2921,x2923,x2924,x2925,x2926,x2927,x2928),f485(x2922,x2923,x2924,x2925,x2926,x2927,x2928))
% 190.77/190.69 [293]~E(x2931,x2932)+E(f485(x2933,x2931,x2934,x2935,x2936,x2937,x2938),f485(x2933,x2932,x2934,x2935,x2936,x2937,x2938))
% 190.77/190.69 [294]~E(x2941,x2942)+E(f485(x2943,x2944,x2941,x2945,x2946,x2947,x2948),f485(x2943,x2944,x2942,x2945,x2946,x2947,x2948))
% 190.77/190.69 [295]~E(x2951,x2952)+E(f485(x2953,x2954,x2955,x2951,x2956,x2957,x2958),f485(x2953,x2954,x2955,x2952,x2956,x2957,x2958))
% 190.77/190.69 [296]~E(x2961,x2962)+E(f485(x2963,x2964,x2965,x2966,x2961,x2967,x2968),f485(x2963,x2964,x2965,x2966,x2962,x2967,x2968))
% 190.77/190.69 [297]~E(x2971,x2972)+E(f485(x2973,x2974,x2975,x2976,x2977,x2971,x2978),f485(x2973,x2974,x2975,x2976,x2977,x2972,x2978))
% 190.77/190.69 [298]~E(x2981,x2982)+E(f485(x2983,x2984,x2985,x2986,x2987,x2988,x2981),f485(x2983,x2984,x2985,x2986,x2987,x2988,x2982))
% 190.77/190.69 [299]~E(x2991,x2992)+E(f176(x2991),f176(x2992))
% 190.77/190.69 [300]~E(x3001,x3002)+E(f840(x3001,x3003,x3004),f840(x3002,x3003,x3004))
% 190.77/190.69 [301]~E(x3011,x3012)+E(f840(x3013,x3011,x3014),f840(x3013,x3012,x3014))
% 190.77/190.69 [302]~E(x3021,x3022)+E(f840(x3023,x3024,x3021),f840(x3023,x3024,x3022))
% 190.77/190.69 [303]~E(x3031,x3032)+E(f155(x3031),f155(x3032))
% 190.77/190.69 [304]~E(x3041,x3042)+E(f308(x3041,x3043),f308(x3042,x3043))
% 190.77/190.69 [305]~E(x3051,x3052)+E(f308(x3053,x3051),f308(x3053,x3052))
% 190.77/190.69 [306]~E(x3061,x3062)+E(f148(x3061,x3063),f148(x3062,x3063))
% 190.77/190.69 [307]~E(x3071,x3072)+E(f148(x3073,x3071),f148(x3073,x3072))
% 190.77/190.69 [308]~E(x3081,x3082)+E(f309(x3081,x3083),f309(x3082,x3083))
% 190.77/190.69 [309]~E(x3091,x3092)+E(f309(x3093,x3091),f309(x3093,x3092))
% 190.77/190.69 [310]~E(x3101,x3102)+E(f130(x3101,x3103,x3104),f130(x3102,x3103,x3104))
% 190.77/190.69 [311]~E(x3111,x3112)+E(f130(x3113,x3111,x3114),f130(x3113,x3112,x3114))
% 190.77/190.69 [312]~E(x3121,x3122)+E(f130(x3123,x3124,x3121),f130(x3123,x3124,x3122))
% 190.77/190.69 [313]~E(x3131,x3132)+E(f202(x3131),f202(x3132))
% 190.77/190.69 [314]~E(x3141,x3142)+E(f301(x3141,x3143,x3144),f301(x3142,x3143,x3144))
% 190.77/190.69 [315]~E(x3151,x3152)+E(f301(x3153,x3151,x3154),f301(x3153,x3152,x3154))
% 190.77/190.69 [316]~E(x3161,x3162)+E(f301(x3163,x3164,x3161),f301(x3163,x3164,x3162))
% 190.77/190.69 [317]~E(x3171,x3172)+E(f46(x3171,x3173),f46(x3172,x3173))
% 190.77/190.69 [318]~E(x3181,x3182)+E(f46(x3183,x3181),f46(x3183,x3182))
% 190.77/190.69 [319]~E(x3191,x3192)+E(f247(x3191,x3193,x3194),f247(x3192,x3193,x3194))
% 190.77/190.69 [320]~E(x3201,x3202)+E(f247(x3203,x3201,x3204),f247(x3203,x3202,x3204))
% 190.77/190.69 [321]~E(x3211,x3212)+E(f247(x3213,x3214,x3211),f247(x3213,x3214,x3212))
% 190.77/190.69 [322]~E(x3221,x3222)+E(f372(x3221,x3223,x3224,x3225),f372(x3222,x3223,x3224,x3225))
% 190.77/190.69 [323]~E(x3231,x3232)+E(f372(x3233,x3231,x3234,x3235),f372(x3233,x3232,x3234,x3235))
% 190.77/190.69 [324]~E(x3241,x3242)+E(f372(x3243,x3244,x3241,x3245),f372(x3243,x3244,x3242,x3245))
% 190.77/190.69 [325]~E(x3251,x3252)+E(f372(x3253,x3254,x3255,x3251),f372(x3253,x3254,x3255,x3252))
% 190.77/190.69 [326]~E(x3261,x3262)+E(f532(x3261,x3263,x3264,x3265,x3266,x3267,x3268),f532(x3262,x3263,x3264,x3265,x3266,x3267,x3268))
% 190.77/190.69 [327]~E(x3271,x3272)+E(f532(x3273,x3271,x3274,x3275,x3276,x3277,x3278),f532(x3273,x3272,x3274,x3275,x3276,x3277,x3278))
% 190.77/190.69 [328]~E(x3281,x3282)+E(f532(x3283,x3284,x3281,x3285,x3286,x3287,x3288),f532(x3283,x3284,x3282,x3285,x3286,x3287,x3288))
% 190.77/190.69 [329]~E(x3291,x3292)+E(f532(x3293,x3294,x3295,x3291,x3296,x3297,x3298),f532(x3293,x3294,x3295,x3292,x3296,x3297,x3298))
% 190.77/190.69 [330]~E(x3301,x3302)+E(f532(x3303,x3304,x3305,x3306,x3301,x3307,x3308),f532(x3303,x3304,x3305,x3306,x3302,x3307,x3308))
% 190.77/190.69 [331]~E(x3311,x3312)+E(f532(x3313,x3314,x3315,x3316,x3317,x3311,x3318),f532(x3313,x3314,x3315,x3316,x3317,x3312,x3318))
% 190.77/190.69 [332]~E(x3321,x3322)+E(f532(x3323,x3324,x3325,x3326,x3327,x3328,x3321),f532(x3323,x3324,x3325,x3326,x3327,x3328,x3322))
% 190.77/190.69 [333]~E(x3331,x3332)+E(f292(x3331,x3333),f292(x3332,x3333))
% 190.77/190.69 [334]~E(x3341,x3342)+E(f292(x3343,x3341),f292(x3343,x3342))
% 190.77/190.69 [335]~E(x3351,x3352)+E(f127(x3351),f127(x3352))
% 190.77/190.69 [336]~E(x3361,x3362)+E(f167(x3361,x3363,x3364),f167(x3362,x3363,x3364))
% 190.77/190.69 [337]~E(x3371,x3372)+E(f167(x3373,x3371,x3374),f167(x3373,x3372,x3374))
% 190.77/190.69 [338]~E(x3381,x3382)+E(f167(x3383,x3384,x3381),f167(x3383,x3384,x3382))
% 190.77/190.69 [339]~E(x3391,x3392)+E(f888(x3391,x3393),f888(x3392,x3393))
% 190.77/190.69 [340]~E(x3401,x3402)+E(f888(x3403,x3401),f888(x3403,x3402))
% 190.77/190.69 [341]~E(x3411,x3412)+E(f846(x3411,x3413,x3414),f846(x3412,x3413,x3414))
% 190.77/190.69 [342]~E(x3421,x3422)+E(f846(x3423,x3421,x3424),f846(x3423,x3422,x3424))
% 190.77/190.69 [343]~E(x3431,x3432)+E(f846(x3433,x3434,x3431),f846(x3433,x3434,x3432))
% 190.77/190.69 [344]~E(x3441,x3442)+E(f494(x3441,x3443,x3444,x3445,x3446,x3447),f494(x3442,x3443,x3444,x3445,x3446,x3447))
% 190.77/190.69 [345]~E(x3451,x3452)+E(f494(x3453,x3451,x3454,x3455,x3456,x3457),f494(x3453,x3452,x3454,x3455,x3456,x3457))
% 190.77/190.69 [346]~E(x3461,x3462)+E(f494(x3463,x3464,x3461,x3465,x3466,x3467),f494(x3463,x3464,x3462,x3465,x3466,x3467))
% 190.77/190.69 [347]~E(x3471,x3472)+E(f494(x3473,x3474,x3475,x3471,x3476,x3477),f494(x3473,x3474,x3475,x3472,x3476,x3477))
% 190.77/190.69 [348]~E(x3481,x3482)+E(f494(x3483,x3484,x3485,x3486,x3481,x3487),f494(x3483,x3484,x3485,x3486,x3482,x3487))
% 190.77/190.69 [349]~E(x3491,x3492)+E(f494(x3493,x3494,x3495,x3496,x3497,x3491),f494(x3493,x3494,x3495,x3496,x3497,x3492))
% 190.77/190.69 [350]~E(x3501,x3502)+E(f60(x3501,x3503,x3504),f60(x3502,x3503,x3504))
% 190.77/190.69 [351]~E(x3511,x3512)+E(f60(x3513,x3511,x3514),f60(x3513,x3512,x3514))
% 190.77/190.69 [352]~E(x3521,x3522)+E(f60(x3523,x3524,x3521),f60(x3523,x3524,x3522))
% 190.77/190.69 [353]~E(x3531,x3532)+E(f295(x3531,x3533,x3534),f295(x3532,x3533,x3534))
% 190.77/190.69 [354]~E(x3541,x3542)+E(f295(x3543,x3541,x3544),f295(x3543,x3542,x3544))
% 190.77/190.69 [355]~E(x3551,x3552)+E(f295(x3553,x3554,x3551),f295(x3553,x3554,x3552))
% 190.77/190.69 [356]~E(x3561,x3562)+E(f665(x3561,x3563,x3564,x3565,x3566),f665(x3562,x3563,x3564,x3565,x3566))
% 190.77/190.69 [357]~E(x3571,x3572)+E(f665(x3573,x3571,x3574,x3575,x3576),f665(x3573,x3572,x3574,x3575,x3576))
% 190.77/190.69 [358]~E(x3581,x3582)+E(f665(x3583,x3584,x3581,x3585,x3586),f665(x3583,x3584,x3582,x3585,x3586))
% 190.77/190.69 [359]~E(x3591,x3592)+E(f665(x3593,x3594,x3595,x3591,x3596),f665(x3593,x3594,x3595,x3592,x3596))
% 190.77/190.69 [360]~E(x3601,x3602)+E(f665(x3603,x3604,x3605,x3606,x3601),f665(x3603,x3604,x3605,x3606,x3602))
% 190.77/190.69 [361]~E(x3611,x3612)+E(f109(x3611),f109(x3612))
% 190.77/190.69 [362]~E(x3621,x3622)+E(f110(x3621,x3623),f110(x3622,x3623))
% 190.77/190.69 [363]~E(x3631,x3632)+E(f110(x3633,x3631),f110(x3633,x3632))
% 190.77/190.69 [364]~E(x3641,x3642)+E(f661(x3641,x3643,x3644,x3645),f661(x3642,x3643,x3644,x3645))
% 190.77/190.69 [365]~E(x3651,x3652)+E(f661(x3653,x3651,x3654,x3655),f661(x3653,x3652,x3654,x3655))
% 190.77/190.69 [366]~E(x3661,x3662)+E(f661(x3663,x3664,x3661,x3665),f661(x3663,x3664,x3662,x3665))
% 190.77/190.69 [367]~E(x3671,x3672)+E(f661(x3673,x3674,x3675,x3671),f661(x3673,x3674,x3675,x3672))
% 190.77/190.69 [368]~E(x3681,x3682)+E(f80(x3681,x3683),f80(x3682,x3683))
% 190.77/190.69 [369]~E(x3691,x3692)+E(f80(x3693,x3691),f80(x3693,x3692))
% 190.77/190.69 [370]~E(x3701,x3702)+E(f763(x3701,x3703,x3704,x3705,x3706,x3707,x3708),f763(x3702,x3703,x3704,x3705,x3706,x3707,x3708))
% 190.77/190.69 [371]~E(x3711,x3712)+E(f763(x3713,x3711,x3714,x3715,x3716,x3717,x3718),f763(x3713,x3712,x3714,x3715,x3716,x3717,x3718))
% 190.77/190.69 [372]~E(x3721,x3722)+E(f763(x3723,x3724,x3721,x3725,x3726,x3727,x3728),f763(x3723,x3724,x3722,x3725,x3726,x3727,x3728))
% 190.77/190.69 [373]~E(x3731,x3732)+E(f763(x3733,x3734,x3735,x3731,x3736,x3737,x3738),f763(x3733,x3734,x3735,x3732,x3736,x3737,x3738))
% 190.77/190.69 [374]~E(x3741,x3742)+E(f763(x3743,x3744,x3745,x3746,x3741,x3747,x3748),f763(x3743,x3744,x3745,x3746,x3742,x3747,x3748))
% 190.77/190.69 [375]~E(x3751,x3752)+E(f763(x3753,x3754,x3755,x3756,x3757,x3751,x3758),f763(x3753,x3754,x3755,x3756,x3757,x3752,x3758))
% 190.77/190.69 [376]~E(x3761,x3762)+E(f763(x3763,x3764,x3765,x3766,x3767,x3768,x3761),f763(x3763,x3764,x3765,x3766,x3767,x3768,x3762))
% 190.77/190.69 [377]~E(x3771,x3772)+E(f843(x3771,x3773,x3774),f843(x3772,x3773,x3774))
% 190.77/190.69 [378]~E(x3781,x3782)+E(f843(x3783,x3781,x3784),f843(x3783,x3782,x3784))
% 190.77/190.69 [379]~E(x3791,x3792)+E(f843(x3793,x3794,x3791),f843(x3793,x3794,x3792))
% 190.77/190.69 [380]~E(x3801,x3802)+E(f810(x3801,x3803,x3804,x3805,x3806),f810(x3802,x3803,x3804,x3805,x3806))
% 190.77/190.69 [381]~E(x3811,x3812)+E(f810(x3813,x3811,x3814,x3815,x3816),f810(x3813,x3812,x3814,x3815,x3816))
% 190.77/190.69 [382]~E(x3821,x3822)+E(f810(x3823,x3824,x3821,x3825,x3826),f810(x3823,x3824,x3822,x3825,x3826))
% 190.77/190.69 [383]~E(x3831,x3832)+E(f810(x3833,x3834,x3835,x3831,x3836),f810(x3833,x3834,x3835,x3832,x3836))
% 190.77/190.69 [384]~E(x3841,x3842)+E(f810(x3843,x3844,x3845,x3846,x3841),f810(x3843,x3844,x3845,x3846,x3842))
% 190.77/190.69 [385]~E(x3851,x3852)+E(f450(x3851,x3853,x3854),f450(x3852,x3853,x3854))
% 190.77/190.69 [386]~E(x3861,x3862)+E(f450(x3863,x3861,x3864),f450(x3863,x3862,x3864))
% 190.77/190.69 [387]~E(x3871,x3872)+E(f450(x3873,x3874,x3871),f450(x3873,x3874,x3872))
% 190.77/190.69 [388]~E(x3881,x3882)+E(f84(x3881,x3883),f84(x3882,x3883))
% 190.77/190.69 [389]~E(x3891,x3892)+E(f84(x3893,x3891),f84(x3893,x3892))
% 190.77/190.69 [390]~E(x3901,x3902)+E(f890(x3901,x3903),f890(x3902,x3903))
% 190.77/190.69 [391]~E(x3911,x3912)+E(f890(x3913,x3911),f890(x3913,x3912))
% 190.77/190.69 [392]~E(x3921,x3922)+E(f143(x3921,x3923),f143(x3922,x3923))
% 190.77/190.69 [393]~E(x3931,x3932)+E(f143(x3933,x3931),f143(x3933,x3932))
% 190.77/190.69 [394]~E(x3941,x3942)+E(f253(x3941,x3943),f253(x3942,x3943))
% 190.77/190.69 [395]~E(x3951,x3952)+E(f253(x3953,x3951),f253(x3953,x3952))
% 190.77/190.69 [396]~E(x3961,x3962)+E(f326(x3961,x3963,x3964,x3965),f326(x3962,x3963,x3964,x3965))
% 190.77/190.69 [397]~E(x3971,x3972)+E(f326(x3973,x3971,x3974,x3975),f326(x3973,x3972,x3974,x3975))
% 190.77/190.69 [398]~E(x3981,x3982)+E(f326(x3983,x3984,x3981,x3985),f326(x3983,x3984,x3982,x3985))
% 190.77/190.69 [399]~E(x3991,x3992)+E(f326(x3993,x3994,x3995,x3991),f326(x3993,x3994,x3995,x3992))
% 190.77/190.69 [400]~E(x4001,x4002)+E(f128(x4001),f128(x4002))
% 190.77/190.69 [401]~E(x4011,x4012)+E(f217(x4011,x4013),f217(x4012,x4013))
% 190.77/190.69 [402]~E(x4021,x4022)+E(f217(x4023,x4021),f217(x4023,x4022))
% 190.77/190.69 [403]~E(x4031,x4032)+E(f184(x4031,x4033),f184(x4032,x4033))
% 190.77/190.69 [404]~E(x4041,x4042)+E(f184(x4043,x4041),f184(x4043,x4042))
% 190.77/190.69 [405]~E(x4051,x4052)+E(f245(x4051,x4053,x4054,x4055),f245(x4052,x4053,x4054,x4055))
% 190.77/190.69 [406]~E(x4061,x4062)+E(f245(x4063,x4061,x4064,x4065),f245(x4063,x4062,x4064,x4065))
% 190.77/190.69 [407]~E(x4071,x4072)+E(f245(x4073,x4074,x4071,x4075),f245(x4073,x4074,x4072,x4075))
% 190.77/190.69 [408]~E(x4081,x4082)+E(f245(x4083,x4084,x4085,x4081),f245(x4083,x4084,x4085,x4082))
% 190.77/190.69 [409]~E(x4091,x4092)+E(f687(x4091,x4093,x4094),f687(x4092,x4093,x4094))
% 190.77/190.69 [410]~E(x4101,x4102)+E(f687(x4103,x4101,x4104),f687(x4103,x4102,x4104))
% 190.77/190.69 [411]~E(x4111,x4112)+E(f687(x4113,x4114,x4111),f687(x4113,x4114,x4112))
% 190.77/190.69 [412]~E(x4121,x4122)+E(f198(x4121),f198(x4122))
% 190.77/190.69 [413]~E(x4131,x4132)+E(f45(x4131,x4133),f45(x4132,x4133))
% 190.77/190.69 [414]~E(x4141,x4142)+E(f45(x4143,x4141),f45(x4143,x4142))
% 190.77/190.69 [415]~E(x4151,x4152)+E(f705(x4151,x4153,x4154,x4155),f705(x4152,x4153,x4154,x4155))
% 190.77/190.69 [416]~E(x4161,x4162)+E(f705(x4163,x4161,x4164,x4165),f705(x4163,x4162,x4164,x4165))
% 190.77/190.69 [417]~E(x4171,x4172)+E(f705(x4173,x4174,x4171,x4175),f705(x4173,x4174,x4172,x4175))
% 190.77/190.69 [418]~E(x4181,x4182)+E(f705(x4183,x4184,x4185,x4181),f705(x4183,x4184,x4185,x4182))
% 190.77/190.69 [419]~E(x4191,x4192)+E(f756(x4191,x4193,x4194),f756(x4192,x4193,x4194))
% 190.77/190.69 [420]~E(x4201,x4202)+E(f756(x4203,x4201,x4204),f756(x4203,x4202,x4204))
% 190.77/190.69 [421]~E(x4211,x4212)+E(f756(x4213,x4214,x4211),f756(x4213,x4214,x4212))
% 190.77/190.69 [422]~E(x4221,x4222)+E(f346(x4221,x4223),f346(x4222,x4223))
% 190.77/190.69 [423]~E(x4231,x4232)+E(f346(x4233,x4231),f346(x4233,x4232))
% 190.77/190.69 [424]~E(x4241,x4242)+E(f298(x4241),f298(x4242))
% 190.77/190.69 [425]~E(x4251,x4252)+E(f443(x4251,x4253,x4254,x4255,x4256,x4257,x4258),f443(x4252,x4253,x4254,x4255,x4256,x4257,x4258))
% 190.77/190.69 [426]~E(x4261,x4262)+E(f443(x4263,x4261,x4264,x4265,x4266,x4267,x4268),f443(x4263,x4262,x4264,x4265,x4266,x4267,x4268))
% 190.77/190.69 [427]~E(x4271,x4272)+E(f443(x4273,x4274,x4271,x4275,x4276,x4277,x4278),f443(x4273,x4274,x4272,x4275,x4276,x4277,x4278))
% 190.77/190.69 [428]~E(x4281,x4282)+E(f443(x4283,x4284,x4285,x4281,x4286,x4287,x4288),f443(x4283,x4284,x4285,x4282,x4286,x4287,x4288))
% 190.77/190.69 [429]~E(x4291,x4292)+E(f443(x4293,x4294,x4295,x4296,x4291,x4297,x4298),f443(x4293,x4294,x4295,x4296,x4292,x4297,x4298))
% 190.77/190.69 [430]~E(x4301,x4302)+E(f443(x4303,x4304,x4305,x4306,x4307,x4301,x4308),f443(x4303,x4304,x4305,x4306,x4307,x4302,x4308))
% 190.77/190.69 [431]~E(x4311,x4312)+E(f443(x4313,x4314,x4315,x4316,x4317,x4318,x4311),f443(x4313,x4314,x4315,x4316,x4317,x4318,x4312))
% 190.77/190.69 [432]~E(x4321,x4322)+E(f305(x4321,x4323),f305(x4322,x4323))
% 190.77/190.69 [433]~E(x4331,x4332)+E(f305(x4333,x4331),f305(x4333,x4332))
% 190.77/190.69 [434]~E(x4341,x4342)+E(f698(x4341,x4343,x4344),f698(x4342,x4343,x4344))
% 190.77/190.69 [435]~E(x4351,x4352)+E(f698(x4353,x4351,x4354),f698(x4353,x4352,x4354))
% 190.77/190.69 [436]~E(x4361,x4362)+E(f698(x4363,x4364,x4361),f698(x4363,x4364,x4362))
% 190.77/190.69 [437]~E(x4371,x4372)+E(f399(x4371,x4373,x4374),f399(x4372,x4373,x4374))
% 190.77/190.69 [438]~E(x4381,x4382)+E(f399(x4383,x4381,x4384),f399(x4383,x4382,x4384))
% 190.77/190.69 [439]~E(x4391,x4392)+E(f399(x4393,x4394,x4391),f399(x4393,x4394,x4392))
% 190.77/190.69 [440]~E(x4401,x4402)+E(f783(x4401),f783(x4402))
% 190.77/190.69 [441]~E(x4411,x4412)+E(f114(x4411),f114(x4412))
% 190.77/190.69 [442]~E(x4421,x4422)+E(f762(x4421,x4423,x4424,x4425,x4426,x4427,x4428),f762(x4422,x4423,x4424,x4425,x4426,x4427,x4428))
% 190.77/190.69 [443]~E(x4431,x4432)+E(f762(x4433,x4431,x4434,x4435,x4436,x4437,x4438),f762(x4433,x4432,x4434,x4435,x4436,x4437,x4438))
% 190.77/190.69 [444]~E(x4441,x4442)+E(f762(x4443,x4444,x4441,x4445,x4446,x4447,x4448),f762(x4443,x4444,x4442,x4445,x4446,x4447,x4448))
% 190.77/190.69 [445]~E(x4451,x4452)+E(f762(x4453,x4454,x4455,x4451,x4456,x4457,x4458),f762(x4453,x4454,x4455,x4452,x4456,x4457,x4458))
% 190.77/190.69 [446]~E(x4461,x4462)+E(f762(x4463,x4464,x4465,x4466,x4461,x4467,x4468),f762(x4463,x4464,x4465,x4466,x4462,x4467,x4468))
% 190.77/190.69 [447]~E(x4471,x4472)+E(f762(x4473,x4474,x4475,x4476,x4477,x4471,x4478),f762(x4473,x4474,x4475,x4476,x4477,x4472,x4478))
% 190.77/190.69 [448]~E(x4481,x4482)+E(f762(x4483,x4484,x4485,x4486,x4487,x4488,x4481),f762(x4483,x4484,x4485,x4486,x4487,x4488,x4482))
% 190.77/190.69 [449]~E(x4491,x4492)+E(f294(x4491),f294(x4492))
% 190.77/190.69 [450]~E(x4501,x4502)+E(f137(x4501,x4503),f137(x4502,x4503))
% 190.77/190.69 [451]~E(x4511,x4512)+E(f137(x4513,x4511),f137(x4513,x4512))
% 190.77/190.69 [452]~E(x4521,x4522)+E(f848(x4521,x4523,x4524),f848(x4522,x4523,x4524))
% 190.77/190.69 [453]~E(x4531,x4532)+E(f848(x4533,x4531,x4534),f848(x4533,x4532,x4534))
% 190.77/190.69 [454]~E(x4541,x4542)+E(f848(x4543,x4544,x4541),f848(x4543,x4544,x4542))
% 190.77/190.69 [455]~E(x4551,x4552)+E(f10(x4551,x4553),f10(x4552,x4553))
% 190.77/190.69 [456]~E(x4561,x4562)+E(f10(x4563,x4561),f10(x4563,x4562))
% 190.77/190.69 [457]~E(x4571,x4572)+E(f471(x4571,x4573,x4574,x4575),f471(x4572,x4573,x4574,x4575))
% 190.77/190.69 [458]~E(x4581,x4582)+E(f471(x4583,x4581,x4584,x4585),f471(x4583,x4582,x4584,x4585))
% 190.77/190.69 [459]~E(x4591,x4592)+E(f471(x4593,x4594,x4591,x4595),f471(x4593,x4594,x4592,x4595))
% 190.77/190.69 [460]~E(x4601,x4602)+E(f471(x4603,x4604,x4605,x4601),f471(x4603,x4604,x4605,x4602))
% 190.77/190.69 [461]~E(x4611,x4612)+E(f169(x4611,x4613),f169(x4612,x4613))
% 190.77/190.69 [462]~E(x4621,x4622)+E(f169(x4623,x4621),f169(x4623,x4622))
% 190.77/190.69 [463]~E(x4631,x4632)+E(f248(x4631,x4633,x4634,x4635,x4636,x4637),f248(x4632,x4633,x4634,x4635,x4636,x4637))
% 190.77/190.69 [464]~E(x4641,x4642)+E(f248(x4643,x4641,x4644,x4645,x4646,x4647),f248(x4643,x4642,x4644,x4645,x4646,x4647))
% 190.77/190.69 [465]~E(x4651,x4652)+E(f248(x4653,x4654,x4651,x4655,x4656,x4657),f248(x4653,x4654,x4652,x4655,x4656,x4657))
% 190.77/190.69 [466]~E(x4661,x4662)+E(f248(x4663,x4664,x4665,x4661,x4666,x4667),f248(x4663,x4664,x4665,x4662,x4666,x4667))
% 190.77/190.69 [467]~E(x4671,x4672)+E(f248(x4673,x4674,x4675,x4676,x4671,x4677),f248(x4673,x4674,x4675,x4676,x4672,x4677))
% 190.77/190.69 [468]~E(x4681,x4682)+E(f248(x4683,x4684,x4685,x4686,x4687,x4681),f248(x4683,x4684,x4685,x4686,x4687,x4682))
% 190.77/190.69 [469]~E(x4691,x4692)+E(f384(x4691,x4693,x4694,x4695),f384(x4692,x4693,x4694,x4695))
% 190.77/190.69 [470]~E(x4701,x4702)+E(f384(x4703,x4701,x4704,x4705),f384(x4703,x4702,x4704,x4705))
% 190.77/190.69 [471]~E(x4711,x4712)+E(f384(x4713,x4714,x4711,x4715),f384(x4713,x4714,x4712,x4715))
% 190.77/190.69 [472]~E(x4721,x4722)+E(f384(x4723,x4724,x4725,x4721),f384(x4723,x4724,x4725,x4722))
% 190.77/190.69 [473]~E(x4731,x4732)+E(f239(x4731,x4733,x4734),f239(x4732,x4733,x4734))
% 190.77/190.69 [474]~E(x4741,x4742)+E(f239(x4743,x4741,x4744),f239(x4743,x4742,x4744))
% 190.77/190.69 [475]~E(x4751,x4752)+E(f239(x4753,x4754,x4751),f239(x4753,x4754,x4752))
% 190.77/190.69 [476]~E(x4761,x4762)+E(f304(x4761),f304(x4762))
% 190.77/190.69 [477]~E(x4771,x4772)+E(f803(x4771,x4773,x4774,x4775),f803(x4772,x4773,x4774,x4775))
% 190.77/190.69 [478]~E(x4781,x4782)+E(f803(x4783,x4781,x4784,x4785),f803(x4783,x4782,x4784,x4785))
% 190.77/190.69 [479]~E(x4791,x4792)+E(f803(x4793,x4794,x4791,x4795),f803(x4793,x4794,x4792,x4795))
% 190.77/190.69 [480]~E(x4801,x4802)+E(f803(x4803,x4804,x4805,x4801),f803(x4803,x4804,x4805,x4802))
% 190.77/190.69 [481]~E(x4811,x4812)+E(f290(x4811,x4813,x4814,x4815,x4816),f290(x4812,x4813,x4814,x4815,x4816))
% 190.77/190.69 [482]~E(x4821,x4822)+E(f290(x4823,x4821,x4824,x4825,x4826),f290(x4823,x4822,x4824,x4825,x4826))
% 190.77/190.69 [483]~E(x4831,x4832)+E(f290(x4833,x4834,x4831,x4835,x4836),f290(x4833,x4834,x4832,x4835,x4836))
% 190.77/190.69 [484]~E(x4841,x4842)+E(f290(x4843,x4844,x4845,x4841,x4846),f290(x4843,x4844,x4845,x4842,x4846))
% 190.77/190.69 [485]~E(x4851,x4852)+E(f290(x4853,x4854,x4855,x4856,x4851),f290(x4853,x4854,x4855,x4856,x4852))
% 190.77/190.69 [486]~E(x4861,x4862)+E(f812(x4861,x4863,x4864),f812(x4862,x4863,x4864))
% 190.77/190.69 [487]~E(x4871,x4872)+E(f812(x4873,x4871,x4874),f812(x4873,x4872,x4874))
% 190.77/190.69 [488]~E(x4881,x4882)+E(f812(x4883,x4884,x4881),f812(x4883,x4884,x4882))
% 190.77/190.69 [489]~E(x4891,x4892)+E(f332(x4891,x4893),f332(x4892,x4893))
% 190.77/190.69 [490]~E(x4901,x4902)+E(f332(x4903,x4901),f332(x4903,x4902))
% 190.77/190.69 [491]~E(x4911,x4912)+E(f636(x4911,x4913,x4914),f636(x4912,x4913,x4914))
% 190.77/190.69 [492]~E(x4921,x4922)+E(f636(x4923,x4921,x4924),f636(x4923,x4922,x4924))
% 190.77/190.69 [493]~E(x4931,x4932)+E(f636(x4933,x4934,x4931),f636(x4933,x4934,x4932))
% 190.77/190.69 [494]~E(x4941,x4942)+E(f59(x4941,x4943,x4944),f59(x4942,x4943,x4944))
% 190.77/190.69 [495]~E(x4951,x4952)+E(f59(x4953,x4951,x4954),f59(x4953,x4952,x4954))
% 190.77/190.69 [496]~E(x4961,x4962)+E(f59(x4963,x4964,x4961),f59(x4963,x4964,x4962))
% 190.77/190.69 [497]~E(x4971,x4972)+E(f588(x4971,x4973,x4974,x4975,x4976,x4977,x4978),f588(x4972,x4973,x4974,x4975,x4976,x4977,x4978))
% 190.77/190.69 [498]~E(x4981,x4982)+E(f588(x4983,x4981,x4984,x4985,x4986,x4987,x4988),f588(x4983,x4982,x4984,x4985,x4986,x4987,x4988))
% 190.77/190.69 [499]~E(x4991,x4992)+E(f588(x4993,x4994,x4991,x4995,x4996,x4997,x4998),f588(x4993,x4994,x4992,x4995,x4996,x4997,x4998))
% 190.77/190.69 [500]~E(x5001,x5002)+E(f588(x5003,x5004,x5005,x5001,x5006,x5007,x5008),f588(x5003,x5004,x5005,x5002,x5006,x5007,x5008))
% 190.77/190.69 [501]~E(x5011,x5012)+E(f588(x5013,x5014,x5015,x5016,x5011,x5017,x5018),f588(x5013,x5014,x5015,x5016,x5012,x5017,x5018))
% 190.77/190.69 [502]~E(x5021,x5022)+E(f588(x5023,x5024,x5025,x5026,x5027,x5021,x5028),f588(x5023,x5024,x5025,x5026,x5027,x5022,x5028))
% 190.77/190.69 [503]~E(x5031,x5032)+E(f588(x5033,x5034,x5035,x5036,x5037,x5038,x5031),f588(x5033,x5034,x5035,x5036,x5037,x5038,x5032))
% 190.77/190.69 [504]~E(x5041,x5042)+E(f159(x5041,x5043,x5044),f159(x5042,x5043,x5044))
% 190.77/190.69 [505]~E(x5051,x5052)+E(f159(x5053,x5051,x5054),f159(x5053,x5052,x5054))
% 190.77/190.69 [506]~E(x5061,x5062)+E(f159(x5063,x5064,x5061),f159(x5063,x5064,x5062))
% 190.77/190.69 [507]~E(x5071,x5072)+E(f280(x5071,x5073,x5074,x5075),f280(x5072,x5073,x5074,x5075))
% 190.77/190.69 [508]~E(x5081,x5082)+E(f280(x5083,x5081,x5084,x5085),f280(x5083,x5082,x5084,x5085))
% 190.77/190.69 [509]~E(x5091,x5092)+E(f280(x5093,x5094,x5091,x5095),f280(x5093,x5094,x5092,x5095))
% 190.77/190.69 [510]~E(x5101,x5102)+E(f280(x5103,x5104,x5105,x5101),f280(x5103,x5104,x5105,x5102))
% 190.77/190.69 [511]~E(x5111,x5112)+E(f150(x5111,x5113),f150(x5112,x5113))
% 190.77/190.69 [512]~E(x5121,x5122)+E(f150(x5123,x5121),f150(x5123,x5122))
% 190.77/190.69 [513]~E(x5131,x5132)+E(f426(x5131,x5133,x5134,x5135,x5136),f426(x5132,x5133,x5134,x5135,x5136))
% 190.77/190.69 [514]~E(x5141,x5142)+E(f426(x5143,x5141,x5144,x5145,x5146),f426(x5143,x5142,x5144,x5145,x5146))
% 190.77/190.69 [515]~E(x5151,x5152)+E(f426(x5153,x5154,x5151,x5155,x5156),f426(x5153,x5154,x5152,x5155,x5156))
% 190.77/190.69 [516]~E(x5161,x5162)+E(f426(x5163,x5164,x5165,x5161,x5166),f426(x5163,x5164,x5165,x5162,x5166))
% 190.77/190.69 [517]~E(x5171,x5172)+E(f426(x5173,x5174,x5175,x5176,x5171),f426(x5173,x5174,x5175,x5176,x5172))
% 190.77/190.69 [518]~E(x5181,x5182)+E(f779(x5181,x5183),f779(x5182,x5183))
% 190.77/190.69 [519]~E(x5191,x5192)+E(f779(x5193,x5191),f779(x5193,x5192))
% 190.77/190.69 [520]~E(x5201,x5202)+E(f273(x5201),f273(x5202))
% 190.77/190.69 [521]~E(x5211,x5212)+E(f434(x5211,x5213,x5214,x5215),f434(x5212,x5213,x5214,x5215))
% 190.77/190.69 [522]~E(x5221,x5222)+E(f434(x5223,x5221,x5224,x5225),f434(x5223,x5222,x5224,x5225))
% 190.77/190.69 [523]~E(x5231,x5232)+E(f434(x5233,x5234,x5231,x5235),f434(x5233,x5234,x5232,x5235))
% 190.77/190.69 [524]~E(x5241,x5242)+E(f434(x5243,x5244,x5245,x5241),f434(x5243,x5244,x5245,x5242))
% 190.77/190.69 [525]~E(x5251,x5252)+E(f241(x5251,x5253),f241(x5252,x5253))
% 190.77/190.69 [526]~E(x5261,x5262)+E(f241(x5263,x5261),f241(x5263,x5262))
% 190.77/190.69 [527]~E(x5271,x5272)+E(f206(x5271,x5273),f206(x5272,x5273))
% 190.77/190.69 [528]~E(x5281,x5282)+E(f206(x5283,x5281),f206(x5283,x5282))
% 190.77/190.69 [529]~E(x5291,x5292)+E(f675(x5291,x5293,x5294,x5295,x5296),f675(x5292,x5293,x5294,x5295,x5296))
% 190.77/190.69 [530]~E(x5301,x5302)+E(f675(x5303,x5301,x5304,x5305,x5306),f675(x5303,x5302,x5304,x5305,x5306))
% 190.77/190.69 [531]~E(x5311,x5312)+E(f675(x5313,x5314,x5311,x5315,x5316),f675(x5313,x5314,x5312,x5315,x5316))
% 190.77/190.69 [532]~E(x5321,x5322)+E(f675(x5323,x5324,x5325,x5321,x5326),f675(x5323,x5324,x5325,x5322,x5326))
% 190.77/190.69 [533]~E(x5331,x5332)+E(f675(x5333,x5334,x5335,x5336,x5331),f675(x5333,x5334,x5335,x5336,x5332))
% 190.77/190.69 [534]~E(x5341,x5342)+E(f674(x5341,x5343,x5344,x5345),f674(x5342,x5343,x5344,x5345))
% 190.77/190.69 [535]~E(x5351,x5352)+E(f674(x5353,x5351,x5354,x5355),f674(x5353,x5352,x5354,x5355))
% 190.77/190.69 [536]~E(x5361,x5362)+E(f674(x5363,x5364,x5361,x5365),f674(x5363,x5364,x5362,x5365))
% 190.77/190.69 [537]~E(x5371,x5372)+E(f674(x5373,x5374,x5375,x5371),f674(x5373,x5374,x5375,x5372))
% 190.77/190.69 [538]~E(x5381,x5382)+E(f205(x5381,x5383),f205(x5382,x5383))
% 190.77/190.69 [539]~E(x5391,x5392)+E(f205(x5393,x5391),f205(x5393,x5392))
% 190.77/190.69 [540]~E(x5401,x5402)+E(f857(x5401,x5403),f857(x5402,x5403))
% 190.77/190.69 [541]~E(x5411,x5412)+E(f857(x5413,x5411),f857(x5413,x5412))
% 190.77/190.69 [542]~E(x5421,x5422)+E(f462(x5421,x5423,x5424,x5425,x5426),f462(x5422,x5423,x5424,x5425,x5426))
% 190.77/190.69 [543]~E(x5431,x5432)+E(f462(x5433,x5431,x5434,x5435,x5436),f462(x5433,x5432,x5434,x5435,x5436))
% 190.77/190.69 [544]~E(x5441,x5442)+E(f462(x5443,x5444,x5441,x5445,x5446),f462(x5443,x5444,x5442,x5445,x5446))
% 190.77/190.69 [545]~E(x5451,x5452)+E(f462(x5453,x5454,x5455,x5451,x5456),f462(x5453,x5454,x5455,x5452,x5456))
% 190.77/190.69 [546]~E(x5461,x5462)+E(f462(x5463,x5464,x5465,x5466,x5461),f462(x5463,x5464,x5465,x5466,x5462))
% 190.77/190.69 [547]~E(x5471,x5472)+E(f549(x5471,x5473,x5474,x5475,x5476,x5477,x5478,x5479),f549(x5472,x5473,x5474,x5475,x5476,x5477,x5478,x5479))
% 190.77/190.69 [548]~E(x5481,x5482)+E(f549(x5483,x5481,x5484,x5485,x5486,x5487,x5488,x5489),f549(x5483,x5482,x5484,x5485,x5486,x5487,x5488,x5489))
% 190.77/190.69 [549]~E(x5491,x5492)+E(f549(x5493,x5494,x5491,x5495,x5496,x5497,x5498,x5499),f549(x5493,x5494,x5492,x5495,x5496,x5497,x5498,x5499))
% 190.77/190.69 [550]~E(x5501,x5502)+E(f549(x5503,x5504,x5505,x5501,x5506,x5507,x5508,x5509),f549(x5503,x5504,x5505,x5502,x5506,x5507,x5508,x5509))
% 190.77/190.69 [551]~E(x5511,x5512)+E(f549(x5513,x5514,x5515,x5516,x5511,x5517,x5518,x5519),f549(x5513,x5514,x5515,x5516,x5512,x5517,x5518,x5519))
% 190.77/190.69 [552]~E(x5521,x5522)+E(f549(x5523,x5524,x5525,x5526,x5527,x5521,x5528,x5529),f549(x5523,x5524,x5525,x5526,x5527,x5522,x5528,x5529))
% 190.77/190.69 [553]~E(x5531,x5532)+E(f549(x5533,x5534,x5535,x5536,x5537,x5538,x5531,x5539),f549(x5533,x5534,x5535,x5536,x5537,x5538,x5532,x5539))
% 190.77/190.69 [554]~E(x5541,x5542)+E(f549(x5543,x5544,x5545,x5546,x5547,x5548,x5549,x5541),f549(x5543,x5544,x5545,x5546,x5547,x5548,x5549,x5542))
% 190.77/190.69 [555]~E(x5551,x5552)+E(f246(x5551,x5553),f246(x5552,x5553))
% 190.77/190.69 [556]~E(x5561,x5562)+E(f246(x5563,x5561),f246(x5563,x5562))
% 190.77/190.69 [557]~E(x5571,x5572)+E(f720(x5571,x5573,x5574,x5575,x5576),f720(x5572,x5573,x5574,x5575,x5576))
% 190.77/190.69 [558]~E(x5581,x5582)+E(f720(x5583,x5581,x5584,x5585,x5586),f720(x5583,x5582,x5584,x5585,x5586))
% 190.77/190.69 [559]~E(x5591,x5592)+E(f720(x5593,x5594,x5591,x5595,x5596),f720(x5593,x5594,x5592,x5595,x5596))
% 190.77/190.69 [560]~E(x5601,x5602)+E(f720(x5603,x5604,x5605,x5601,x5606),f720(x5603,x5604,x5605,x5602,x5606))
% 190.77/190.69 [561]~E(x5611,x5612)+E(f720(x5613,x5614,x5615,x5616,x5611),f720(x5613,x5614,x5615,x5616,x5612))
% 190.77/190.69 [562]~E(x5621,x5622)+E(f475(x5621,x5623,x5624,x5625,x5626,x5627),f475(x5622,x5623,x5624,x5625,x5626,x5627))
% 190.77/190.69 [563]~E(x5631,x5632)+E(f475(x5633,x5631,x5634,x5635,x5636,x5637),f475(x5633,x5632,x5634,x5635,x5636,x5637))
% 190.77/190.69 [564]~E(x5641,x5642)+E(f475(x5643,x5644,x5641,x5645,x5646,x5647),f475(x5643,x5644,x5642,x5645,x5646,x5647))
% 190.77/190.69 [565]~E(x5651,x5652)+E(f475(x5653,x5654,x5655,x5651,x5656,x5657),f475(x5653,x5654,x5655,x5652,x5656,x5657))
% 190.77/190.69 [566]~E(x5661,x5662)+E(f475(x5663,x5664,x5665,x5666,x5661,x5667),f475(x5663,x5664,x5665,x5666,x5662,x5667))
% 190.77/190.69 [567]~E(x5671,x5672)+E(f475(x5673,x5674,x5675,x5676,x5677,x5671),f475(x5673,x5674,x5675,x5676,x5677,x5672))
% 190.77/190.69 [568]~E(x5681,x5682)+E(f240(x5681,x5683,x5684),f240(x5682,x5683,x5684))
% 190.77/190.69 [569]~E(x5691,x5692)+E(f240(x5693,x5691,x5694),f240(x5693,x5692,x5694))
% 190.77/190.69 [570]~E(x5701,x5702)+E(f240(x5703,x5704,x5701),f240(x5703,x5704,x5702))
% 190.77/190.69 [571]~E(x5711,x5712)+E(f274(x5711,x5713),f274(x5712,x5713))
% 190.77/190.69 [572]~E(x5721,x5722)+E(f274(x5723,x5721),f274(x5723,x5722))
% 190.77/190.69 [573]~E(x5731,x5732)+E(f115(x5731,x5733),f115(x5732,x5733))
% 190.77/190.69 [574]~E(x5741,x5742)+E(f115(x5743,x5741),f115(x5743,x5742))
% 190.77/190.69 [575]~E(x5751,x5752)+E(f700(x5751,x5753,x5754,x5755),f700(x5752,x5753,x5754,x5755))
% 190.77/190.69 [576]~E(x5761,x5762)+E(f700(x5763,x5761,x5764,x5765),f700(x5763,x5762,x5764,x5765))
% 190.77/190.69 [577]~E(x5771,x5772)+E(f700(x5773,x5774,x5771,x5775),f700(x5773,x5774,x5772,x5775))
% 190.77/190.69 [578]~E(x5781,x5782)+E(f700(x5783,x5784,x5785,x5781),f700(x5783,x5784,x5785,x5782))
% 190.77/190.69 [579]~E(x5791,x5792)+E(f440(x5791,x5793,x5794,x5795,x5796,x5797,x5798),f440(x5792,x5793,x5794,x5795,x5796,x5797,x5798))
% 190.77/190.69 [580]~E(x5801,x5802)+E(f440(x5803,x5801,x5804,x5805,x5806,x5807,x5808),f440(x5803,x5802,x5804,x5805,x5806,x5807,x5808))
% 190.77/190.69 [581]~E(x5811,x5812)+E(f440(x5813,x5814,x5811,x5815,x5816,x5817,x5818),f440(x5813,x5814,x5812,x5815,x5816,x5817,x5818))
% 190.77/190.69 [582]~E(x5821,x5822)+E(f440(x5823,x5824,x5825,x5821,x5826,x5827,x5828),f440(x5823,x5824,x5825,x5822,x5826,x5827,x5828))
% 190.77/190.69 [583]~E(x5831,x5832)+E(f440(x5833,x5834,x5835,x5836,x5831,x5837,x5838),f440(x5833,x5834,x5835,x5836,x5832,x5837,x5838))
% 190.77/190.69 [584]~E(x5841,x5842)+E(f440(x5843,x5844,x5845,x5846,x5847,x5841,x5848),f440(x5843,x5844,x5845,x5846,x5847,x5842,x5848))
% 190.77/190.69 [585]~E(x5851,x5852)+E(f440(x5853,x5854,x5855,x5856,x5857,x5858,x5851),f440(x5853,x5854,x5855,x5856,x5857,x5858,x5852))
% 190.77/190.69 [586]~E(x5861,x5862)+E(f507(x5861,x5863,x5864),f507(x5862,x5863,x5864))
% 190.77/190.69 [587]~E(x5871,x5872)+E(f507(x5873,x5871,x5874),f507(x5873,x5872,x5874))
% 190.77/190.69 [588]~E(x5881,x5882)+E(f507(x5883,x5884,x5881),f507(x5883,x5884,x5882))
% 190.77/190.69 [589]~E(x5891,x5892)+E(f411(x5891,x5893,x5894),f411(x5892,x5893,x5894))
% 190.77/190.69 [590]~E(x5901,x5902)+E(f411(x5903,x5901,x5904),f411(x5903,x5902,x5904))
% 190.77/190.69 [591]~E(x5911,x5912)+E(f411(x5913,x5914,x5911),f411(x5913,x5914,x5912))
% 190.77/190.69 [592]~E(x5921,x5922)+E(f351(x5921,x5923,x5924),f351(x5922,x5923,x5924))
% 190.77/190.69 [593]~E(x5931,x5932)+E(f351(x5933,x5931,x5934),f351(x5933,x5932,x5934))
% 190.77/190.69 [594]~E(x5941,x5942)+E(f351(x5943,x5944,x5941),f351(x5943,x5944,x5942))
% 190.77/190.69 [595]~E(x5951,x5952)+E(f165(x5951),f165(x5952))
% 190.77/190.69 [596]~E(x5961,x5962)+E(f405(x5961,x5963,x5964,x5965,x5966),f405(x5962,x5963,x5964,x5965,x5966))
% 190.77/190.69 [597]~E(x5971,x5972)+E(f405(x5973,x5971,x5974,x5975,x5976),f405(x5973,x5972,x5974,x5975,x5976))
% 190.77/190.69 [598]~E(x5981,x5982)+E(f405(x5983,x5984,x5981,x5985,x5986),f405(x5983,x5984,x5982,x5985,x5986))
% 190.77/190.69 [599]~E(x5991,x5992)+E(f405(x5993,x5994,x5995,x5991,x5996),f405(x5993,x5994,x5995,x5992,x5996))
% 190.77/190.69 [600]~E(x6001,x6002)+E(f405(x6003,x6004,x6005,x6006,x6001),f405(x6003,x6004,x6005,x6006,x6002))
% 190.77/190.69 [601]~E(x6011,x6012)+E(f514(x6011,x6013),f514(x6012,x6013))
% 190.77/190.69 [602]~E(x6021,x6022)+E(f514(x6023,x6021),f514(x6023,x6022))
% 190.77/190.69 [603]~E(x6031,x6032)+E(f310(x6031,x6033,x6034,x6035),f310(x6032,x6033,x6034,x6035))
% 190.77/190.69 [604]~E(x6041,x6042)+E(f310(x6043,x6041,x6044,x6045),f310(x6043,x6042,x6044,x6045))
% 190.77/190.69 [605]~E(x6051,x6052)+E(f310(x6053,x6054,x6051,x6055),f310(x6053,x6054,x6052,x6055))
% 190.77/190.69 [606]~E(x6061,x6062)+E(f310(x6063,x6064,x6065,x6061),f310(x6063,x6064,x6065,x6062))
% 190.77/190.69 [607]~E(x6071,x6072)+E(f263(x6071,x6073,x6074,x6075),f263(x6072,x6073,x6074,x6075))
% 190.77/190.69 [608]~E(x6081,x6082)+E(f263(x6083,x6081,x6084,x6085),f263(x6083,x6082,x6084,x6085))
% 190.77/190.69 [609]~E(x6091,x6092)+E(f263(x6093,x6094,x6091,x6095),f263(x6093,x6094,x6092,x6095))
% 190.77/190.69 [610]~E(x6101,x6102)+E(f263(x6103,x6104,x6105,x6101),f263(x6103,x6104,x6105,x6102))
% 190.77/190.69 [611]~E(x6111,x6112)+E(f382(x6111,x6113),f382(x6112,x6113))
% 190.77/190.69 [612]~E(x6121,x6122)+E(f382(x6123,x6121),f382(x6123,x6122))
% 190.77/190.69 [613]~E(x6131,x6132)+E(f816(x6131,x6133,x6134,x6135,x6136,x6137,x6138),f816(x6132,x6133,x6134,x6135,x6136,x6137,x6138))
% 190.77/190.69 [614]~E(x6141,x6142)+E(f816(x6143,x6141,x6144,x6145,x6146,x6147,x6148),f816(x6143,x6142,x6144,x6145,x6146,x6147,x6148))
% 190.77/190.69 [615]~E(x6151,x6152)+E(f816(x6153,x6154,x6151,x6155,x6156,x6157,x6158),f816(x6153,x6154,x6152,x6155,x6156,x6157,x6158))
% 190.77/190.69 [616]~E(x6161,x6162)+E(f816(x6163,x6164,x6165,x6161,x6166,x6167,x6168),f816(x6163,x6164,x6165,x6162,x6166,x6167,x6168))
% 190.77/190.69 [617]~E(x6171,x6172)+E(f816(x6173,x6174,x6175,x6176,x6171,x6177,x6178),f816(x6173,x6174,x6175,x6176,x6172,x6177,x6178))
% 190.77/190.69 [618]~E(x6181,x6182)+E(f816(x6183,x6184,x6185,x6186,x6187,x6181,x6188),f816(x6183,x6184,x6185,x6186,x6187,x6182,x6188))
% 190.77/190.69 [619]~E(x6191,x6192)+E(f816(x6193,x6194,x6195,x6196,x6197,x6198,x6191),f816(x6193,x6194,x6195,x6196,x6197,x6198,x6192))
% 190.77/190.69 [620]~E(x6201,x6202)+E(f655(x6201,x6203,x6204,x6205,x6206),f655(x6202,x6203,x6204,x6205,x6206))
% 190.77/190.69 [621]~E(x6211,x6212)+E(f655(x6213,x6211,x6214,x6215,x6216),f655(x6213,x6212,x6214,x6215,x6216))
% 190.77/190.69 [622]~E(x6221,x6222)+E(f655(x6223,x6224,x6221,x6225,x6226),f655(x6223,x6224,x6222,x6225,x6226))
% 190.77/190.69 [623]~E(x6231,x6232)+E(f655(x6233,x6234,x6235,x6231,x6236),f655(x6233,x6234,x6235,x6232,x6236))
% 190.77/190.69 [624]~E(x6241,x6242)+E(f655(x6243,x6244,x6245,x6246,x6241),f655(x6243,x6244,x6245,x6246,x6242))
% 190.77/190.69 [625]~E(x6251,x6252)+E(f330(x6251,x6253,x6254),f330(x6252,x6253,x6254))
% 190.77/190.69 [626]~E(x6261,x6262)+E(f330(x6263,x6261,x6264),f330(x6263,x6262,x6264))
% 190.77/190.69 [627]~E(x6271,x6272)+E(f330(x6273,x6274,x6271),f330(x6273,x6274,x6272))
% 190.77/190.69 [628]~E(x6281,x6282)+E(f473(x6281,x6283,x6284,x6285),f473(x6282,x6283,x6284,x6285))
% 190.77/190.69 [629]~E(x6291,x6292)+E(f473(x6293,x6291,x6294,x6295),f473(x6293,x6292,x6294,x6295))
% 190.77/190.69 [630]~E(x6301,x6302)+E(f473(x6303,x6304,x6301,x6305),f473(x6303,x6304,x6302,x6305))
% 190.77/190.69 [631]~E(x6311,x6312)+E(f473(x6313,x6314,x6315,x6311),f473(x6313,x6314,x6315,x6312))
% 190.77/190.69 [632]~E(x6321,x6322)+E(f565(x6321,x6323,x6324,x6325),f565(x6322,x6323,x6324,x6325))
% 190.77/190.69 [633]~E(x6331,x6332)+E(f565(x6333,x6331,x6334,x6335),f565(x6333,x6332,x6334,x6335))
% 190.77/190.69 [634]~E(x6341,x6342)+E(f565(x6343,x6344,x6341,x6345),f565(x6343,x6344,x6342,x6345))
% 190.77/190.69 [635]~E(x6351,x6352)+E(f565(x6353,x6354,x6355,x6351),f565(x6353,x6354,x6355,x6352))
% 190.77/190.69 [636]~E(x6361,x6362)+E(f505(x6361,x6363,x6364,x6365),f505(x6362,x6363,x6364,x6365))
% 190.77/190.69 [637]~E(x6371,x6372)+E(f505(x6373,x6371,x6374,x6375),f505(x6373,x6372,x6374,x6375))
% 190.77/190.69 [638]~E(x6381,x6382)+E(f505(x6383,x6384,x6381,x6385),f505(x6383,x6384,x6382,x6385))
% 190.77/190.69 [639]~E(x6391,x6392)+E(f505(x6393,x6394,x6395,x6391),f505(x6393,x6394,x6395,x6392))
% 190.77/190.69 [640]~E(x6401,x6402)+E(f39(x6401),f39(x6402))
% 190.77/190.69 [641]~E(x6411,x6412)+E(f238(x6411,x6413),f238(x6412,x6413))
% 190.77/190.69 [642]~E(x6421,x6422)+E(f238(x6423,x6421),f238(x6423,x6422))
% 190.77/190.69 [643]~E(x6431,x6432)+E(f873(x6431,x6433,x6434),f873(x6432,x6433,x6434))
% 190.77/190.69 [644]~E(x6441,x6442)+E(f873(x6443,x6441,x6444),f873(x6443,x6442,x6444))
% 190.77/190.69 [645]~E(x6451,x6452)+E(f873(x6453,x6454,x6451),f873(x6453,x6454,x6452))
% 190.77/190.69 [646]~E(x6461,x6462)+E(f708(x6461,x6463),f708(x6462,x6463))
% 190.77/190.69 [647]~E(x6471,x6472)+E(f708(x6473,x6471),f708(x6473,x6472))
% 190.77/190.69 [648]~E(x6481,x6482)+E(f673(x6481,x6483),f673(x6482,x6483))
% 190.77/190.69 [649]~E(x6491,x6492)+E(f673(x6493,x6491),f673(x6493,x6492))
% 190.77/190.69 [650]~E(x6501,x6502)+E(f417(x6501,x6503,x6504,x6505),f417(x6502,x6503,x6504,x6505))
% 190.77/190.69 [651]~E(x6511,x6512)+E(f417(x6513,x6511,x6514,x6515),f417(x6513,x6512,x6514,x6515))
% 190.77/190.69 [652]~E(x6521,x6522)+E(f417(x6523,x6524,x6521,x6525),f417(x6523,x6524,x6522,x6525))
% 190.77/190.69 [653]~E(x6531,x6532)+E(f417(x6533,x6534,x6535,x6531),f417(x6533,x6534,x6535,x6532))
% 190.77/190.69 [654]~E(x6541,x6542)+E(f745(x6541,x6543,x6544,x6545),f745(x6542,x6543,x6544,x6545))
% 190.77/190.69 [655]~E(x6551,x6552)+E(f745(x6553,x6551,x6554,x6555),f745(x6553,x6552,x6554,x6555))
% 190.77/190.69 [656]~E(x6561,x6562)+E(f745(x6563,x6564,x6561,x6565),f745(x6563,x6564,x6562,x6565))
% 190.77/190.69 [657]~E(x6571,x6572)+E(f745(x6573,x6574,x6575,x6571),f745(x6573,x6574,x6575,x6572))
% 190.77/190.69 [658]~E(x6581,x6582)+E(f13(x6581,x6583),f13(x6582,x6583))
% 190.77/190.69 [659]~E(x6591,x6592)+E(f13(x6593,x6591),f13(x6593,x6592))
% 190.77/190.69 [660]~E(x6601,x6602)+E(f637(x6601,x6603,x6604,x6605),f637(x6602,x6603,x6604,x6605))
% 190.77/190.69 [661]~E(x6611,x6612)+E(f637(x6613,x6611,x6614,x6615),f637(x6613,x6612,x6614,x6615))
% 190.77/190.69 [662]~E(x6621,x6622)+E(f637(x6623,x6624,x6621,x6625),f637(x6623,x6624,x6622,x6625))
% 190.77/190.69 [663]~E(x6631,x6632)+E(f637(x6633,x6634,x6635,x6631),f637(x6633,x6634,x6635,x6632))
% 190.77/190.69 [664]~E(x6641,x6642)+E(f354(x6641,x6643,x6644,x6645),f354(x6642,x6643,x6644,x6645))
% 190.77/190.69 [665]~E(x6651,x6652)+E(f354(x6653,x6651,x6654,x6655),f354(x6653,x6652,x6654,x6655))
% 190.77/190.69 [666]~E(x6661,x6662)+E(f354(x6663,x6664,x6661,x6665),f354(x6663,x6664,x6662,x6665))
% 190.77/190.69 [667]~E(x6671,x6672)+E(f354(x6673,x6674,x6675,x6671),f354(x6673,x6674,x6675,x6672))
% 190.77/190.69 [668]~E(x6681,x6682)+E(f62(x6681,x6683,x6684),f62(x6682,x6683,x6684))
% 190.77/190.69 [669]~E(x6691,x6692)+E(f62(x6693,x6691,x6694),f62(x6693,x6692,x6694))
% 190.77/190.69 [670]~E(x6701,x6702)+E(f62(x6703,x6704,x6701),f62(x6703,x6704,x6702))
% 190.77/190.69 [671]~E(x6711,x6712)+E(f438(x6711,x6713,x6714,x6715,x6716,x6717,x6718),f438(x6712,x6713,x6714,x6715,x6716,x6717,x6718))
% 190.77/190.69 [672]~E(x6721,x6722)+E(f438(x6723,x6721,x6724,x6725,x6726,x6727,x6728),f438(x6723,x6722,x6724,x6725,x6726,x6727,x6728))
% 190.77/190.69 [673]~E(x6731,x6732)+E(f438(x6733,x6734,x6731,x6735,x6736,x6737,x6738),f438(x6733,x6734,x6732,x6735,x6736,x6737,x6738))
% 190.77/190.69 [674]~E(x6741,x6742)+E(f438(x6743,x6744,x6745,x6741,x6746,x6747,x6748),f438(x6743,x6744,x6745,x6742,x6746,x6747,x6748))
% 190.77/190.69 [675]~E(x6751,x6752)+E(f438(x6753,x6754,x6755,x6756,x6751,x6757,x6758),f438(x6753,x6754,x6755,x6756,x6752,x6757,x6758))
% 190.77/190.69 [676]~E(x6761,x6762)+E(f438(x6763,x6764,x6765,x6766,x6767,x6761,x6768),f438(x6763,x6764,x6765,x6766,x6767,x6762,x6768))
% 190.77/190.69 [677]~E(x6771,x6772)+E(f438(x6773,x6774,x6775,x6776,x6777,x6778,x6771),f438(x6773,x6774,x6775,x6776,x6777,x6778,x6772))
% 190.77/190.69 [678]~E(x6781,x6782)+E(f539(x6781,x6783,x6784,x6785,x6786,x6787),f539(x6782,x6783,x6784,x6785,x6786,x6787))
% 190.77/190.69 [679]~E(x6791,x6792)+E(f539(x6793,x6791,x6794,x6795,x6796,x6797),f539(x6793,x6792,x6794,x6795,x6796,x6797))
% 190.77/190.69 [680]~E(x6801,x6802)+E(f539(x6803,x6804,x6801,x6805,x6806,x6807),f539(x6803,x6804,x6802,x6805,x6806,x6807))
% 190.77/190.69 [681]~E(x6811,x6812)+E(f539(x6813,x6814,x6815,x6811,x6816,x6817),f539(x6813,x6814,x6815,x6812,x6816,x6817))
% 190.77/190.69 [682]~E(x6821,x6822)+E(f539(x6823,x6824,x6825,x6826,x6821,x6827),f539(x6823,x6824,x6825,x6826,x6822,x6827))
% 190.77/190.69 [683]~E(x6831,x6832)+E(f539(x6833,x6834,x6835,x6836,x6837,x6831),f539(x6833,x6834,x6835,x6836,x6837,x6832))
% 190.77/190.69 [684]~E(x6841,x6842)+E(f303(x6841,x6843,x6844,x6845),f303(x6842,x6843,x6844,x6845))
% 190.77/190.69 [685]~E(x6851,x6852)+E(f303(x6853,x6851,x6854,x6855),f303(x6853,x6852,x6854,x6855))
% 190.77/190.69 [686]~E(x6861,x6862)+E(f303(x6863,x6864,x6861,x6865),f303(x6863,x6864,x6862,x6865))
% 190.77/190.69 [687]~E(x6871,x6872)+E(f303(x6873,x6874,x6875,x6871),f303(x6873,x6874,x6875,x6872))
% 190.77/190.69 [688]~E(x6881,x6882)+E(f152(x6881,x6883),f152(x6882,x6883))
% 190.77/190.69 [689]~E(x6891,x6892)+E(f152(x6893,x6891),f152(x6893,x6892))
% 190.77/190.69 [690]~E(x6901,x6902)+E(f464(x6901,x6903,x6904,x6905,x6906),f464(x6902,x6903,x6904,x6905,x6906))
% 190.77/190.69 [691]~E(x6911,x6912)+E(f464(x6913,x6911,x6914,x6915,x6916),f464(x6913,x6912,x6914,x6915,x6916))
% 190.77/190.69 [692]~E(x6921,x6922)+E(f464(x6923,x6924,x6921,x6925,x6926),f464(x6923,x6924,x6922,x6925,x6926))
% 190.77/190.69 [693]~E(x6931,x6932)+E(f464(x6933,x6934,x6935,x6931,x6936),f464(x6933,x6934,x6935,x6932,x6936))
% 190.77/190.69 [694]~E(x6941,x6942)+E(f464(x6943,x6944,x6945,x6946,x6941),f464(x6943,x6944,x6945,x6946,x6942))
% 190.77/190.69 [695]~E(x6951,x6952)+E(f82(x6951),f82(x6952))
% 190.77/190.69 [696]~E(x6961,x6962)+E(f331(x6961,x6963),f331(x6962,x6963))
% 190.77/190.69 [697]~E(x6971,x6972)+E(f331(x6973,x6971),f331(x6973,x6972))
% 190.77/190.69 [698]~E(x6981,x6982)+E(f306(x6981,x6983),f306(x6982,x6983))
% 190.77/190.69 [699]~E(x6991,x6992)+E(f306(x6993,x6991),f306(x6993,x6992))
% 190.77/190.69 [700]~E(x7001,x7002)+E(f439(x7001,x7003,x7004,x7005,x7006,x7007,x7008),f439(x7002,x7003,x7004,x7005,x7006,x7007,x7008))
% 190.77/190.69 [701]~E(x7011,x7012)+E(f439(x7013,x7011,x7014,x7015,x7016,x7017,x7018),f439(x7013,x7012,x7014,x7015,x7016,x7017,x7018))
% 190.77/190.69 [702]~E(x7021,x7022)+E(f439(x7023,x7024,x7021,x7025,x7026,x7027,x7028),f439(x7023,x7024,x7022,x7025,x7026,x7027,x7028))
% 190.77/190.69 [703]~E(x7031,x7032)+E(f439(x7033,x7034,x7035,x7031,x7036,x7037,x7038),f439(x7033,x7034,x7035,x7032,x7036,x7037,x7038))
% 190.77/190.69 [704]~E(x7041,x7042)+E(f439(x7043,x7044,x7045,x7046,x7041,x7047,x7048),f439(x7043,x7044,x7045,x7046,x7042,x7047,x7048))
% 190.77/190.69 [705]~E(x7051,x7052)+E(f439(x7053,x7054,x7055,x7056,x7057,x7051,x7058),f439(x7053,x7054,x7055,x7056,x7057,x7052,x7058))
% 190.77/190.69 [706]~E(x7061,x7062)+E(f439(x7063,x7064,x7065,x7066,x7067,x7068,x7061),f439(x7063,x7064,x7065,x7066,x7067,x7068,x7062))
% 190.77/190.69 [707]~E(x7071,x7072)+E(f397(x7071,x7073,x7074,x7075),f397(x7072,x7073,x7074,x7075))
% 190.77/190.69 [708]~E(x7081,x7082)+E(f397(x7083,x7081,x7084,x7085),f397(x7083,x7082,x7084,x7085))
% 190.77/190.69 [709]~E(x7091,x7092)+E(f397(x7093,x7094,x7091,x7095),f397(x7093,x7094,x7092,x7095))
% 190.77/190.69 [710]~E(x7101,x7102)+E(f397(x7103,x7104,x7105,x7101),f397(x7103,x7104,x7105,x7102))
% 190.77/190.69 [711]~E(x7111,x7112)+E(f544(x7111,x7113,x7114),f544(x7112,x7113,x7114))
% 190.77/190.69 [712]~E(x7121,x7122)+E(f544(x7123,x7121,x7124),f544(x7123,x7122,x7124))
% 190.77/190.69 [713]~E(x7131,x7132)+E(f544(x7133,x7134,x7131),f544(x7133,x7134,x7132))
% 190.77/190.69 [714]~E(x7141,x7142)+E(f466(x7141,x7143,x7144),f466(x7142,x7143,x7144))
% 190.77/190.69 [715]~E(x7151,x7152)+E(f466(x7153,x7151,x7154),f466(x7153,x7152,x7154))
% 190.77/190.69 [716]~E(x7161,x7162)+E(f466(x7163,x7164,x7161),f466(x7163,x7164,x7162))
% 190.77/190.69 [717]~E(x7171,x7172)+E(f472(x7171,x7173,x7174,x7175,x7176,x7177),f472(x7172,x7173,x7174,x7175,x7176,x7177))
% 190.77/190.69 [718]~E(x7181,x7182)+E(f472(x7183,x7181,x7184,x7185,x7186,x7187),f472(x7183,x7182,x7184,x7185,x7186,x7187))
% 190.77/190.69 [719]~E(x7191,x7192)+E(f472(x7193,x7194,x7191,x7195,x7196,x7197),f472(x7193,x7194,x7192,x7195,x7196,x7197))
% 190.77/190.69 [720]~E(x7201,x7202)+E(f472(x7203,x7204,x7205,x7201,x7206,x7207),f472(x7203,x7204,x7205,x7202,x7206,x7207))
% 190.77/190.69 [721]~E(x7211,x7212)+E(f472(x7213,x7214,x7215,x7216,x7211,x7217),f472(x7213,x7214,x7215,x7216,x7212,x7217))
% 190.77/190.69 [722]~E(x7221,x7222)+E(f472(x7223,x7224,x7225,x7226,x7227,x7221),f472(x7223,x7224,x7225,x7226,x7227,x7222))
% 190.77/190.69 [723]~E(x7231,x7232)+E(f463(x7231,x7233,x7234,x7235,x7236),f463(x7232,x7233,x7234,x7235,x7236))
% 190.77/190.69 [724]~E(x7241,x7242)+E(f463(x7243,x7241,x7244,x7245,x7246),f463(x7243,x7242,x7244,x7245,x7246))
% 190.77/190.69 [725]~E(x7251,x7252)+E(f463(x7253,x7254,x7251,x7255,x7256),f463(x7253,x7254,x7252,x7255,x7256))
% 190.77/190.69 [726]~E(x7261,x7262)+E(f463(x7263,x7264,x7265,x7261,x7266),f463(x7263,x7264,x7265,x7262,x7266))
% 190.77/190.69 [727]~E(x7271,x7272)+E(f463(x7273,x7274,x7275,x7276,x7271),f463(x7273,x7274,x7275,x7276,x7272))
% 190.77/190.69 [728]~E(x7281,x7282)+E(f76(x7281,x7283),f76(x7282,x7283))
% 190.77/190.69 [729]~E(x7291,x7292)+E(f76(x7293,x7291),f76(x7293,x7292))
% 190.77/190.69 [730]~E(x7301,x7302)+E(f311(x7301,x7303,x7304),f311(x7302,x7303,x7304))
% 190.77/190.69 [731]~E(x7311,x7312)+E(f311(x7313,x7311,x7314),f311(x7313,x7312,x7314))
% 190.77/190.69 [732]~E(x7321,x7322)+E(f311(x7323,x7324,x7321),f311(x7323,x7324,x7322))
% 190.77/190.69 [733]~E(x7331,x7332)+E(f648(x7331,x7333,x7334),f648(x7332,x7333,x7334))
% 190.77/190.69 [734]~E(x7341,x7342)+E(f648(x7343,x7341,x7344),f648(x7343,x7342,x7344))
% 190.77/190.69 [735]~E(x7351,x7352)+E(f648(x7353,x7354,x7351),f648(x7353,x7354,x7352))
% 190.77/190.69 [736]~E(x7361,x7362)+E(f626(x7361,x7363,x7364,x7365),f626(x7362,x7363,x7364,x7365))
% 190.77/190.69 [737]~E(x7371,x7372)+E(f626(x7373,x7371,x7374,x7375),f626(x7373,x7372,x7374,x7375))
% 190.77/190.69 [738]~E(x7381,x7382)+E(f626(x7383,x7384,x7381,x7385),f626(x7383,x7384,x7382,x7385))
% 190.77/190.69 [739]~E(x7391,x7392)+E(f626(x7393,x7394,x7395,x7391),f626(x7393,x7394,x7395,x7392))
% 190.77/190.69 [740]~E(x7401,x7402)+E(f139(x7401,x7403,x7404,x7405,x7406),f139(x7402,x7403,x7404,x7405,x7406))
% 190.77/190.69 [741]~E(x7411,x7412)+E(f139(x7413,x7411,x7414,x7415,x7416),f139(x7413,x7412,x7414,x7415,x7416))
% 190.77/190.69 [742]~E(x7421,x7422)+E(f139(x7423,x7424,x7421,x7425,x7426),f139(x7423,x7424,x7422,x7425,x7426))
% 190.77/190.69 [743]~E(x7431,x7432)+E(f139(x7433,x7434,x7435,x7431,x7436),f139(x7433,x7434,x7435,x7432,x7436))
% 190.77/190.69 [744]~E(x7441,x7442)+E(f139(x7443,x7444,x7445,x7446,x7441),f139(x7443,x7444,x7445,x7446,x7442))
% 190.77/190.69 [745]~E(x7451,x7452)+E(f694(x7451,x7453,x7454),f694(x7452,x7453,x7454))
% 190.77/190.69 [746]~E(x7461,x7462)+E(f694(x7463,x7461,x7464),f694(x7463,x7462,x7464))
% 190.77/190.69 [747]~E(x7471,x7472)+E(f694(x7473,x7474,x7471),f694(x7473,x7474,x7472))
% 190.77/190.69 [748]~E(x7481,x7482)+E(f773(x7481,x7483,x7484),f773(x7482,x7483,x7484))
% 190.77/190.69 [749]~E(x7491,x7492)+E(f773(x7493,x7491,x7494),f773(x7493,x7492,x7494))
% 190.77/190.69 [750]~E(x7501,x7502)+E(f773(x7503,x7504,x7501),f773(x7503,x7504,x7502))
% 190.77/190.69 [751]~E(x7511,x7512)+E(f362(x7511,x7513,x7514,x7515),f362(x7512,x7513,x7514,x7515))
% 190.77/190.69 [752]~E(x7521,x7522)+E(f362(x7523,x7521,x7524,x7525),f362(x7523,x7522,x7524,x7525))
% 190.77/190.69 [753]~E(x7531,x7532)+E(f362(x7533,x7534,x7531,x7535),f362(x7533,x7534,x7532,x7535))
% 190.77/190.69 [754]~E(x7541,x7542)+E(f362(x7543,x7544,x7545,x7541),f362(x7543,x7544,x7545,x7542))
% 190.77/190.69 [755]~E(x7551,x7552)+E(f343(x7551,x7553,x7554,x7555,x7556),f343(x7552,x7553,x7554,x7555,x7556))
% 190.77/190.69 [756]~E(x7561,x7562)+E(f343(x7563,x7561,x7564,x7565,x7566),f343(x7563,x7562,x7564,x7565,x7566))
% 190.77/190.69 [757]~E(x7571,x7572)+E(f343(x7573,x7574,x7571,x7575,x7576),f343(x7573,x7574,x7572,x7575,x7576))
% 190.77/190.69 [758]~E(x7581,x7582)+E(f343(x7583,x7584,x7585,x7581,x7586),f343(x7583,x7584,x7585,x7582,x7586))
% 190.77/190.69 [759]~E(x7591,x7592)+E(f343(x7593,x7594,x7595,x7596,x7591),f343(x7593,x7594,x7595,x7596,x7592))
% 190.77/190.69 [760]~E(x7601,x7602)+E(f180(x7601,x7603,x7604,x7605),f180(x7602,x7603,x7604,x7605))
% 190.77/190.69 [761]~E(x7611,x7612)+E(f180(x7613,x7611,x7614,x7615),f180(x7613,x7612,x7614,x7615))
% 190.77/190.69 [762]~E(x7621,x7622)+E(f180(x7623,x7624,x7621,x7625),f180(x7623,x7624,x7622,x7625))
% 190.77/190.69 [763]~E(x7631,x7632)+E(f180(x7633,x7634,x7635,x7631),f180(x7633,x7634,x7635,x7632))
% 190.77/190.69 [764]~E(x7641,x7642)+E(f235(x7641,x7643,x7644),f235(x7642,x7643,x7644))
% 190.77/190.69 [765]~E(x7651,x7652)+E(f235(x7653,x7651,x7654),f235(x7653,x7652,x7654))
% 190.77/190.69 [766]~E(x7661,x7662)+E(f235(x7663,x7664,x7661),f235(x7663,x7664,x7662))
% 190.77/190.69 [767]~E(x7671,x7672)+E(f296(x7671,x7673,x7674),f296(x7672,x7673,x7674))
% 190.77/190.69 [768]~E(x7681,x7682)+E(f296(x7683,x7681,x7684),f296(x7683,x7682,x7684))
% 190.77/190.69 [769]~E(x7691,x7692)+E(f296(x7693,x7694,x7691),f296(x7693,x7694,x7692))
% 190.77/190.69 [770]~E(x7701,x7702)+E(f444(x7701,x7703,x7704),f444(x7702,x7703,x7704))
% 190.77/190.69 [771]~E(x7711,x7712)+E(f444(x7713,x7711,x7714),f444(x7713,x7712,x7714))
% 190.77/190.69 [772]~E(x7721,x7722)+E(f444(x7723,x7724,x7721),f444(x7723,x7724,x7722))
% 190.77/190.69 [773]~E(x7731,x7732)+E(f421(x7731,x7733,x7734,x7735),f421(x7732,x7733,x7734,x7735))
% 190.77/190.69 [774]~E(x7741,x7742)+E(f421(x7743,x7741,x7744,x7745),f421(x7743,x7742,x7744,x7745))
% 190.77/190.69 [775]~E(x7751,x7752)+E(f421(x7753,x7754,x7751,x7755),f421(x7753,x7754,x7752,x7755))
% 190.77/190.69 [776]~E(x7761,x7762)+E(f421(x7763,x7764,x7765,x7761),f421(x7763,x7764,x7765,x7762))
% 190.77/190.69 [777]~E(x7771,x7772)+E(f832(x7771,x7773,x7774,x7775,x7776,x7777,x7778),f832(x7772,x7773,x7774,x7775,x7776,x7777,x7778))
% 190.77/190.69 [778]~E(x7781,x7782)+E(f832(x7783,x7781,x7784,x7785,x7786,x7787,x7788),f832(x7783,x7782,x7784,x7785,x7786,x7787,x7788))
% 190.77/190.69 [779]~E(x7791,x7792)+E(f832(x7793,x7794,x7791,x7795,x7796,x7797,x7798),f832(x7793,x7794,x7792,x7795,x7796,x7797,x7798))
% 190.77/190.69 [780]~E(x7801,x7802)+E(f832(x7803,x7804,x7805,x7801,x7806,x7807,x7808),f832(x7803,x7804,x7805,x7802,x7806,x7807,x7808))
% 190.77/190.69 [781]~E(x7811,x7812)+E(f832(x7813,x7814,x7815,x7816,x7811,x7817,x7818),f832(x7813,x7814,x7815,x7816,x7812,x7817,x7818))
% 190.77/190.69 [782]~E(x7821,x7822)+E(f832(x7823,x7824,x7825,x7826,x7827,x7821,x7828),f832(x7823,x7824,x7825,x7826,x7827,x7822,x7828))
% 190.77/190.69 [783]~E(x7831,x7832)+E(f832(x7833,x7834,x7835,x7836,x7837,x7838,x7831),f832(x7833,x7834,x7835,x7836,x7837,x7838,x7832))
% 190.77/190.69 [784]~E(x7841,x7842)+E(f701(x7841,x7843,x7844,x7845),f701(x7842,x7843,x7844,x7845))
% 190.77/190.69 [785]~E(x7851,x7852)+E(f701(x7853,x7851,x7854,x7855),f701(x7853,x7852,x7854,x7855))
% 190.77/190.69 [786]~E(x7861,x7862)+E(f701(x7863,x7864,x7861,x7865),f701(x7863,x7864,x7862,x7865))
% 190.77/190.69 [787]~E(x7871,x7872)+E(f701(x7873,x7874,x7875,x7871),f701(x7873,x7874,x7875,x7872))
% 190.77/190.69 [788]~E(x7881,x7882)+E(f561(x7881,x7883,x7884,x7885,x7886),f561(x7882,x7883,x7884,x7885,x7886))
% 190.77/190.69 [789]~E(x7891,x7892)+E(f561(x7893,x7891,x7894,x7895,x7896),f561(x7893,x7892,x7894,x7895,x7896))
% 190.77/190.69 [790]~E(x7901,x7902)+E(f561(x7903,x7904,x7901,x7905,x7906),f561(x7903,x7904,x7902,x7905,x7906))
% 190.77/190.69 [791]~E(x7911,x7912)+E(f561(x7913,x7914,x7915,x7911,x7916),f561(x7913,x7914,x7915,x7912,x7916))
% 190.77/190.69 [792]~E(x7921,x7922)+E(f561(x7923,x7924,x7925,x7926,x7921),f561(x7923,x7924,x7925,x7926,x7922))
% 190.77/190.69 [793]~E(x7931,x7932)+E(f617(x7931,x7933,x7934,x7935),f617(x7932,x7933,x7934,x7935))
% 190.77/190.69 [794]~E(x7941,x7942)+E(f617(x7943,x7941,x7944,x7945),f617(x7943,x7942,x7944,x7945))
% 190.77/190.69 [795]~E(x7951,x7952)+E(f617(x7953,x7954,x7951,x7955),f617(x7953,x7954,x7952,x7955))
% 190.77/190.69 [796]~E(x7961,x7962)+E(f617(x7963,x7964,x7965,x7961),f617(x7963,x7964,x7965,x7962))
% 190.77/190.69 [797]~E(x7971,x7972)+E(f258(x7971,x7973),f258(x7972,x7973))
% 190.77/190.69 [798]~E(x7981,x7982)+E(f258(x7983,x7981),f258(x7983,x7982))
% 190.77/190.69 [799]~E(x7991,x7992)+E(f430(x7991,x7993,x7994,x7995,x7996),f430(x7992,x7993,x7994,x7995,x7996))
% 190.77/190.69 [800]~E(x8001,x8002)+E(f430(x8003,x8001,x8004,x8005,x8006),f430(x8003,x8002,x8004,x8005,x8006))
% 190.77/190.69 [801]~E(x8011,x8012)+E(f430(x8013,x8014,x8011,x8015,x8016),f430(x8013,x8014,x8012,x8015,x8016))
% 190.77/190.69 [802]~E(x8021,x8022)+E(f430(x8023,x8024,x8025,x8021,x8026),f430(x8023,x8024,x8025,x8022,x8026))
% 190.77/190.69 [803]~E(x8031,x8032)+E(f430(x8033,x8034,x8035,x8036,x8031),f430(x8033,x8034,x8035,x8036,x8032))
% 190.77/190.69 [804]~E(x8041,x8042)+E(f676(x8041,x8043,x8044,x8045,x8046),f676(x8042,x8043,x8044,x8045,x8046))
% 190.77/190.69 [805]~E(x8051,x8052)+E(f676(x8053,x8051,x8054,x8055,x8056),f676(x8053,x8052,x8054,x8055,x8056))
% 190.77/190.69 [806]~E(x8061,x8062)+E(f676(x8063,x8064,x8061,x8065,x8066),f676(x8063,x8064,x8062,x8065,x8066))
% 190.77/190.69 [807]~E(x8071,x8072)+E(f676(x8073,x8074,x8075,x8071,x8076),f676(x8073,x8074,x8075,x8072,x8076))
% 190.77/190.69 [808]~E(x8081,x8082)+E(f676(x8083,x8084,x8085,x8086,x8081),f676(x8083,x8084,x8085,x8086,x8082))
% 190.77/190.69 [809]~E(x8091,x8092)+E(f726(x8091,x8093,x8094,x8095,x8096,x8097,x8098),f726(x8092,x8093,x8094,x8095,x8096,x8097,x8098))
% 190.77/190.69 [810]~E(x8101,x8102)+E(f726(x8103,x8101,x8104,x8105,x8106,x8107,x8108),f726(x8103,x8102,x8104,x8105,x8106,x8107,x8108))
% 190.77/190.69 [811]~E(x8111,x8112)+E(f726(x8113,x8114,x8111,x8115,x8116,x8117,x8118),f726(x8113,x8114,x8112,x8115,x8116,x8117,x8118))
% 190.77/190.69 [812]~E(x8121,x8122)+E(f726(x8123,x8124,x8125,x8121,x8126,x8127,x8128),f726(x8123,x8124,x8125,x8122,x8126,x8127,x8128))
% 190.77/190.69 [813]~E(x8131,x8132)+E(f726(x8133,x8134,x8135,x8136,x8131,x8137,x8138),f726(x8133,x8134,x8135,x8136,x8132,x8137,x8138))
% 190.77/190.69 [814]~E(x8141,x8142)+E(f726(x8143,x8144,x8145,x8146,x8147,x8141,x8148),f726(x8143,x8144,x8145,x8146,x8147,x8142,x8148))
% 190.77/190.69 [815]~E(x8151,x8152)+E(f726(x8153,x8154,x8155,x8156,x8157,x8158,x8151),f726(x8153,x8154,x8155,x8156,x8157,x8158,x8152))
% 190.77/190.69 [816]~E(x8161,x8162)+E(f593(x8161,x8163,x8164),f593(x8162,x8163,x8164))
% 190.77/190.69 [817]~E(x8171,x8172)+E(f593(x8173,x8171,x8174),f593(x8173,x8172,x8174))
% 190.77/190.69 [818]~E(x8181,x8182)+E(f593(x8183,x8184,x8181),f593(x8183,x8184,x8182))
% 190.77/190.69 [819]~E(x8191,x8192)+E(f233(x8191,x8193,x8194),f233(x8192,x8193,x8194))
% 190.77/190.69 [820]~E(x8201,x8202)+E(f233(x8203,x8201,x8204),f233(x8203,x8202,x8204))
% 190.77/190.69 [821]~E(x8211,x8212)+E(f233(x8213,x8214,x8211),f233(x8213,x8214,x8212))
% 190.77/190.69 [822]~E(x8221,x8222)+E(f736(x8221,x8223,x8224),f736(x8222,x8223,x8224))
% 190.77/190.69 [823]~E(x8231,x8232)+E(f736(x8233,x8231,x8234),f736(x8233,x8232,x8234))
% 190.77/190.69 [824]~E(x8241,x8242)+E(f736(x8243,x8244,x8241),f736(x8243,x8244,x8242))
% 190.77/190.69 [825]~E(x8251,x8252)+E(f412(x8251,x8253,x8254,x8255,x8256),f412(x8252,x8253,x8254,x8255,x8256))
% 190.77/190.69 [826]~E(x8261,x8262)+E(f412(x8263,x8261,x8264,x8265,x8266),f412(x8263,x8262,x8264,x8265,x8266))
% 190.77/190.69 [827]~E(x8271,x8272)+E(f412(x8273,x8274,x8271,x8275,x8276),f412(x8273,x8274,x8272,x8275,x8276))
% 190.77/190.69 [828]~E(x8281,x8282)+E(f412(x8283,x8284,x8285,x8281,x8286),f412(x8283,x8284,x8285,x8282,x8286))
% 190.77/190.69 [829]~E(x8291,x8292)+E(f412(x8293,x8294,x8295,x8296,x8291),f412(x8293,x8294,x8295,x8296,x8292))
% 190.77/190.69 [830]~E(x8301,x8302)+E(f116(x8301,x8303,x8304),f116(x8302,x8303,x8304))
% 190.77/190.69 [831]~E(x8311,x8312)+E(f116(x8313,x8311,x8314),f116(x8313,x8312,x8314))
% 190.77/190.69 [832]~E(x8321,x8322)+E(f116(x8323,x8324,x8321),f116(x8323,x8324,x8322))
% 190.77/190.69 [833]~E(x8331,x8332)+E(f262(x8331,x8333),f262(x8332,x8333))
% 190.77/190.69 [834]~E(x8341,x8342)+E(f262(x8343,x8341),f262(x8343,x8342))
% 190.77/190.69 [835]~E(x8351,x8352)+E(f378(x8351,x8353),f378(x8352,x8353))
% 190.77/190.69 [836]~E(x8361,x8362)+E(f378(x8363,x8361),f378(x8363,x8362))
% 190.77/190.69 [837]~E(x8371,x8372)+E(f210(x8371,x8373,x8374,x8375),f210(x8372,x8373,x8374,x8375))
% 190.77/190.69 [838]~E(x8381,x8382)+E(f210(x8383,x8381,x8384,x8385),f210(x8383,x8382,x8384,x8385))
% 190.77/190.69 [839]~E(x8391,x8392)+E(f210(x8393,x8394,x8391,x8395),f210(x8393,x8394,x8392,x8395))
% 190.77/190.69 [840]~E(x8401,x8402)+E(f210(x8403,x8404,x8405,x8401),f210(x8403,x8404,x8405,x8402))
% 190.77/190.69 [841]~E(x8411,x8412)+E(f108(x8411,x8413,x8414),f108(x8412,x8413,x8414))
% 190.77/190.69 [842]~E(x8421,x8422)+E(f108(x8423,x8421,x8424),f108(x8423,x8422,x8424))
% 190.77/190.69 [843]~E(x8431,x8432)+E(f108(x8433,x8434,x8431),f108(x8433,x8434,x8432))
% 190.77/190.69 [844]~E(x8441,x8442)+E(f52(x8441),f52(x8442))
% 190.77/190.69 [845]~E(x8451,x8452)+E(f527(x8451,x8453,x8454,x8455,x8456,x8457),f527(x8452,x8453,x8454,x8455,x8456,x8457))
% 190.77/190.69 [846]~E(x8461,x8462)+E(f527(x8463,x8461,x8464,x8465,x8466,x8467),f527(x8463,x8462,x8464,x8465,x8466,x8467))
% 190.77/190.69 [847]~E(x8471,x8472)+E(f527(x8473,x8474,x8471,x8475,x8476,x8477),f527(x8473,x8474,x8472,x8475,x8476,x8477))
% 190.77/190.69 [848]~E(x8481,x8482)+E(f527(x8483,x8484,x8485,x8481,x8486,x8487),f527(x8483,x8484,x8485,x8482,x8486,x8487))
% 190.77/190.69 [849]~E(x8491,x8492)+E(f527(x8493,x8494,x8495,x8496,x8491,x8497),f527(x8493,x8494,x8495,x8496,x8492,x8497))
% 190.77/190.69 [850]~E(x8501,x8502)+E(f527(x8503,x8504,x8505,x8506,x8507,x8501),f527(x8503,x8504,x8505,x8506,x8507,x8502))
% 190.77/190.69 [851]~E(x8511,x8512)+E(f845(x8511,x8513,x8514),f845(x8512,x8513,x8514))
% 190.77/190.69 [852]~E(x8521,x8522)+E(f845(x8523,x8521,x8524),f845(x8523,x8522,x8524))
% 190.77/190.69 [853]~E(x8531,x8532)+E(f845(x8533,x8534,x8531),f845(x8533,x8534,x8532))
% 190.77/190.69 [854]~E(x8541,x8542)+E(f284(x8541,x8543,x8544),f284(x8542,x8543,x8544))
% 190.77/190.69 [855]~E(x8551,x8552)+E(f284(x8553,x8551,x8554),f284(x8553,x8552,x8554))
% 190.77/190.69 [856]~E(x8561,x8562)+E(f284(x8563,x8564,x8561),f284(x8563,x8564,x8562))
% 190.77/190.69 [857]~E(x8571,x8572)+E(f480(x8571,x8573,x8574,x8575,x8576),f480(x8572,x8573,x8574,x8575,x8576))
% 190.77/190.69 [858]~E(x8581,x8582)+E(f480(x8583,x8581,x8584,x8585,x8586),f480(x8583,x8582,x8584,x8585,x8586))
% 190.77/190.69 [859]~E(x8591,x8592)+E(f480(x8593,x8594,x8591,x8595,x8596),f480(x8593,x8594,x8592,x8595,x8596))
% 190.77/190.69 [860]~E(x8601,x8602)+E(f480(x8603,x8604,x8605,x8601,x8606),f480(x8603,x8604,x8605,x8602,x8606))
% 190.77/190.69 [861]~E(x8611,x8612)+E(f480(x8613,x8614,x8615,x8616,x8611),f480(x8613,x8614,x8615,x8616,x8612))
% 190.77/190.69 [862]~E(x8621,x8622)+E(f197(x8621,x8623,x8624,x8625,x8626,x8627,x8628),f197(x8622,x8623,x8624,x8625,x8626,x8627,x8628))
% 190.77/190.69 [863]~E(x8631,x8632)+E(f197(x8633,x8631,x8634,x8635,x8636,x8637,x8638),f197(x8633,x8632,x8634,x8635,x8636,x8637,x8638))
% 190.77/190.69 [864]~E(x8641,x8642)+E(f197(x8643,x8644,x8641,x8645,x8646,x8647,x8648),f197(x8643,x8644,x8642,x8645,x8646,x8647,x8648))
% 190.77/190.69 [865]~E(x8651,x8652)+E(f197(x8653,x8654,x8655,x8651,x8656,x8657,x8658),f197(x8653,x8654,x8655,x8652,x8656,x8657,x8658))
% 190.77/190.69 [866]~E(x8661,x8662)+E(f197(x8663,x8664,x8665,x8666,x8661,x8667,x8668),f197(x8663,x8664,x8665,x8666,x8662,x8667,x8668))
% 190.77/190.69 [867]~E(x8671,x8672)+E(f197(x8673,x8674,x8675,x8676,x8677,x8671,x8678),f197(x8673,x8674,x8675,x8676,x8677,x8672,x8678))
% 190.77/190.69 [868]~E(x8681,x8682)+E(f197(x8683,x8684,x8685,x8686,x8687,x8688,x8681),f197(x8683,x8684,x8685,x8686,x8687,x8688,x8682))
% 190.77/190.69 [869]~E(x8691,x8692)+E(f535(x8691,x8693,x8694),f535(x8692,x8693,x8694))
% 190.77/190.69 [870]~E(x8701,x8702)+E(f535(x8703,x8701,x8704),f535(x8703,x8702,x8704))
% 190.77/190.69 [871]~E(x8711,x8712)+E(f535(x8713,x8714,x8711),f535(x8713,x8714,x8712))
% 190.77/190.69 [872]~E(x8721,x8722)+E(f724(x8721,x8723,x8724,x8725,x8726,x8727,x8728),f724(x8722,x8723,x8724,x8725,x8726,x8727,x8728))
% 190.77/190.69 [873]~E(x8731,x8732)+E(f724(x8733,x8731,x8734,x8735,x8736,x8737,x8738),f724(x8733,x8732,x8734,x8735,x8736,x8737,x8738))
% 190.77/190.69 [874]~E(x8741,x8742)+E(f724(x8743,x8744,x8741,x8745,x8746,x8747,x8748),f724(x8743,x8744,x8742,x8745,x8746,x8747,x8748))
% 190.77/190.69 [875]~E(x8751,x8752)+E(f724(x8753,x8754,x8755,x8751,x8756,x8757,x8758),f724(x8753,x8754,x8755,x8752,x8756,x8757,x8758))
% 190.77/190.69 [876]~E(x8761,x8762)+E(f724(x8763,x8764,x8765,x8766,x8761,x8767,x8768),f724(x8763,x8764,x8765,x8766,x8762,x8767,x8768))
% 190.77/190.69 [877]~E(x8771,x8772)+E(f724(x8773,x8774,x8775,x8776,x8777,x8771,x8778),f724(x8773,x8774,x8775,x8776,x8777,x8772,x8778))
% 190.77/190.69 [878]~E(x8781,x8782)+E(f724(x8783,x8784,x8785,x8786,x8787,x8788,x8781),f724(x8783,x8784,x8785,x8786,x8787,x8788,x8782))
% 190.77/190.69 [879]~E(x8791,x8792)+E(f606(x8791,x8793,x8794,x8795,x8796,x8797,x8798),f606(x8792,x8793,x8794,x8795,x8796,x8797,x8798))
% 190.77/190.69 [880]~E(x8801,x8802)+E(f606(x8803,x8801,x8804,x8805,x8806,x8807,x8808),f606(x8803,x8802,x8804,x8805,x8806,x8807,x8808))
% 190.77/190.69 [881]~E(x8811,x8812)+E(f606(x8813,x8814,x8811,x8815,x8816,x8817,x8818),f606(x8813,x8814,x8812,x8815,x8816,x8817,x8818))
% 190.77/190.69 [882]~E(x8821,x8822)+E(f606(x8823,x8824,x8825,x8821,x8826,x8827,x8828),f606(x8823,x8824,x8825,x8822,x8826,x8827,x8828))
% 190.77/190.69 [883]~E(x8831,x8832)+E(f606(x8833,x8834,x8835,x8836,x8831,x8837,x8838),f606(x8833,x8834,x8835,x8836,x8832,x8837,x8838))
% 190.77/190.69 [884]~E(x8841,x8842)+E(f606(x8843,x8844,x8845,x8846,x8847,x8841,x8848),f606(x8843,x8844,x8845,x8846,x8847,x8842,x8848))
% 190.77/190.69 [885]~E(x8851,x8852)+E(f606(x8853,x8854,x8855,x8856,x8857,x8858,x8851),f606(x8853,x8854,x8855,x8856,x8857,x8858,x8852))
% 190.77/190.69 [886]~E(x8861,x8862)+E(f517(x8861,x8863,x8864),f517(x8862,x8863,x8864))
% 190.77/190.69 [887]~E(x8871,x8872)+E(f517(x8873,x8871,x8874),f517(x8873,x8872,x8874))
% 190.77/190.69 [888]~E(x8881,x8882)+E(f517(x8883,x8884,x8881),f517(x8883,x8884,x8882))
% 190.77/190.69 [889]~E(x8891,x8892)+E(f723(x8891,x8893,x8894,x8895,x8896),f723(x8892,x8893,x8894,x8895,x8896))
% 190.77/190.69 [890]~E(x8901,x8902)+E(f723(x8903,x8901,x8904,x8905,x8906),f723(x8903,x8902,x8904,x8905,x8906))
% 190.77/190.69 [891]~E(x8911,x8912)+E(f723(x8913,x8914,x8911,x8915,x8916),f723(x8913,x8914,x8912,x8915,x8916))
% 190.77/190.69 [892]~E(x8921,x8922)+E(f723(x8923,x8924,x8925,x8921,x8926),f723(x8923,x8924,x8925,x8922,x8926))
% 190.77/190.69 [893]~E(x8931,x8932)+E(f723(x8933,x8934,x8935,x8936,x8931),f723(x8933,x8934,x8935,x8936,x8932))
% 190.77/190.69 [894]~E(x8941,x8942)+E(f448(x8941,x8943,x8944,x8945,x8946),f448(x8942,x8943,x8944,x8945,x8946))
% 190.77/190.69 [895]~E(x8951,x8952)+E(f448(x8953,x8951,x8954,x8955,x8956),f448(x8953,x8952,x8954,x8955,x8956))
% 190.77/190.69 [896]~E(x8961,x8962)+E(f448(x8963,x8964,x8961,x8965,x8966),f448(x8963,x8964,x8962,x8965,x8966))
% 190.77/190.69 [897]~E(x8971,x8972)+E(f448(x8973,x8974,x8975,x8971,x8976),f448(x8973,x8974,x8975,x8972,x8976))
% 190.77/190.69 [898]~E(x8981,x8982)+E(f448(x8983,x8984,x8985,x8986,x8981),f448(x8983,x8984,x8985,x8986,x8982))
% 190.77/190.69 [899]~E(x8991,x8992)+E(f406(x8991,x8993,x8994,x8995,x8996),f406(x8992,x8993,x8994,x8995,x8996))
% 190.77/190.69 [900]~E(x9001,x9002)+E(f406(x9003,x9001,x9004,x9005,x9006),f406(x9003,x9002,x9004,x9005,x9006))
% 190.77/190.69 [901]~E(x9011,x9012)+E(f406(x9013,x9014,x9011,x9015,x9016),f406(x9013,x9014,x9012,x9015,x9016))
% 190.77/190.69 [902]~E(x9021,x9022)+E(f406(x9023,x9024,x9025,x9021,x9026),f406(x9023,x9024,x9025,x9022,x9026))
% 190.77/190.69 [903]~E(x9031,x9032)+E(f406(x9033,x9034,x9035,x9036,x9031),f406(x9033,x9034,x9035,x9036,x9032))
% 190.77/190.69 [904]~E(x9041,x9042)+E(f133(x9041,x9043),f133(x9042,x9043))
% 190.77/190.69 [905]~E(x9051,x9052)+E(f133(x9053,x9051),f133(x9053,x9052))
% 190.77/190.69 [906]~E(x9061,x9062)+E(f425(x9061,x9063,x9064,x9065),f425(x9062,x9063,x9064,x9065))
% 190.77/190.69 [907]~E(x9071,x9072)+E(f425(x9073,x9071,x9074,x9075),f425(x9073,x9072,x9074,x9075))
% 190.77/190.69 [908]~E(x9081,x9082)+E(f425(x9083,x9084,x9081,x9085),f425(x9083,x9084,x9082,x9085))
% 190.77/190.69 [909]~E(x9091,x9092)+E(f425(x9093,x9094,x9095,x9091),f425(x9093,x9094,x9095,x9092))
% 190.77/190.69 [910]~E(x9101,x9102)+E(f826(x9101,x9103,x9104,x9105,x9106,x9107,x9108,x9109),f826(x9102,x9103,x9104,x9105,x9106,x9107,x9108,x9109))
% 190.77/190.69 [911]~E(x9111,x9112)+E(f826(x9113,x9111,x9114,x9115,x9116,x9117,x9118,x9119),f826(x9113,x9112,x9114,x9115,x9116,x9117,x9118,x9119))
% 190.77/190.69 [912]~E(x9121,x9122)+E(f826(x9123,x9124,x9121,x9125,x9126,x9127,x9128,x9129),f826(x9123,x9124,x9122,x9125,x9126,x9127,x9128,x9129))
% 190.77/190.69 [913]~E(x9131,x9132)+E(f826(x9133,x9134,x9135,x9131,x9136,x9137,x9138,x9139),f826(x9133,x9134,x9135,x9132,x9136,x9137,x9138,x9139))
% 190.77/190.69 [914]~E(x9141,x9142)+E(f826(x9143,x9144,x9145,x9146,x9141,x9147,x9148,x9149),f826(x9143,x9144,x9145,x9146,x9142,x9147,x9148,x9149))
% 190.77/190.69 [915]~E(x9151,x9152)+E(f826(x9153,x9154,x9155,x9156,x9157,x9151,x9158,x9159),f826(x9153,x9154,x9155,x9156,x9157,x9152,x9158,x9159))
% 190.77/190.69 [916]~E(x9161,x9162)+E(f826(x9163,x9164,x9165,x9166,x9167,x9168,x9161,x9169),f826(x9163,x9164,x9165,x9166,x9167,x9168,x9162,x9169))
% 190.77/190.69 [917]~E(x9171,x9172)+E(f826(x9173,x9174,x9175,x9176,x9177,x9178,x9179,x9171),f826(x9173,x9174,x9175,x9176,x9177,x9178,x9179,x9172))
% 190.77/190.69 [918]~E(x9181,x9182)+E(f121(x9181,x9183,x9184,x9185),f121(x9182,x9183,x9184,x9185))
% 190.77/190.69 [919]~E(x9191,x9192)+E(f121(x9193,x9191,x9194,x9195),f121(x9193,x9192,x9194,x9195))
% 190.77/190.69 [920]~E(x9201,x9202)+E(f121(x9203,x9204,x9201,x9205),f121(x9203,x9204,x9202,x9205))
% 190.77/190.69 [921]~E(x9211,x9212)+E(f121(x9213,x9214,x9215,x9211),f121(x9213,x9214,x9215,x9212))
% 190.77/190.69 [922]~E(x9221,x9222)+E(f633(x9221,x9223,x9224,x9225),f633(x9222,x9223,x9224,x9225))
% 190.77/190.69 [923]~E(x9231,x9232)+E(f633(x9233,x9231,x9234,x9235),f633(x9233,x9232,x9234,x9235))
% 190.77/190.69 [924]~E(x9241,x9242)+E(f633(x9243,x9244,x9241,x9245),f633(x9243,x9244,x9242,x9245))
% 190.77/190.69 [925]~E(x9251,x9252)+E(f633(x9253,x9254,x9255,x9251),f633(x9253,x9254,x9255,x9252))
% 190.77/190.69 [926]~E(x9261,x9262)+E(f243(x9261,x9263,x9264,x9265,x9266),f243(x9262,x9263,x9264,x9265,x9266))
% 190.77/190.69 [927]~E(x9271,x9272)+E(f243(x9273,x9271,x9274,x9275,x9276),f243(x9273,x9272,x9274,x9275,x9276))
% 190.77/190.69 [928]~E(x9281,x9282)+E(f243(x9283,x9284,x9281,x9285,x9286),f243(x9283,x9284,x9282,x9285,x9286))
% 190.77/190.69 [929]~E(x9291,x9292)+E(f243(x9293,x9294,x9295,x9291,x9296),f243(x9293,x9294,x9295,x9292,x9296))
% 190.77/190.69 [930]~E(x9301,x9302)+E(f243(x9303,x9304,x9305,x9306,x9301),f243(x9303,x9304,x9305,x9306,x9302))
% 190.77/190.69 [931]~E(x9311,x9312)+E(f61(x9311,x9313,x9314,x9315,x9316),f61(x9312,x9313,x9314,x9315,x9316))
% 190.77/190.69 [932]~E(x9321,x9322)+E(f61(x9323,x9321,x9324,x9325,x9326),f61(x9323,x9322,x9324,x9325,x9326))
% 190.77/190.69 [933]~E(x9331,x9332)+E(f61(x9333,x9334,x9331,x9335,x9336),f61(x9333,x9334,x9332,x9335,x9336))
% 190.77/190.69 [934]~E(x9341,x9342)+E(f61(x9343,x9344,x9345,x9341,x9346),f61(x9343,x9344,x9345,x9342,x9346))
% 190.77/190.69 [935]~E(x9351,x9352)+E(f61(x9353,x9354,x9355,x9356,x9351),f61(x9353,x9354,x9355,x9356,x9352))
% 190.77/190.69 [936]~E(x9361,x9362)+E(f867(x9361,x9363,x9364),f867(x9362,x9363,x9364))
% 190.77/190.69 [937]~E(x9371,x9372)+E(f867(x9373,x9371,x9374),f867(x9373,x9372,x9374))
% 190.77/190.69 [938]~E(x9381,x9382)+E(f867(x9383,x9384,x9381),f867(x9383,x9384,x9382))
% 190.77/190.69 [939]~E(x9391,x9392)+E(f824(x9391,x9393,x9394,x9395,x9396,x9397),f824(x9392,x9393,x9394,x9395,x9396,x9397))
% 190.77/190.69 [940]~E(x9401,x9402)+E(f824(x9403,x9401,x9404,x9405,x9406,x9407),f824(x9403,x9402,x9404,x9405,x9406,x9407))
% 190.77/190.69 [941]~E(x9411,x9412)+E(f824(x9413,x9414,x9411,x9415,x9416,x9417),f824(x9413,x9414,x9412,x9415,x9416,x9417))
% 190.77/190.69 [942]~E(x9421,x9422)+E(f824(x9423,x9424,x9425,x9421,x9426,x9427),f824(x9423,x9424,x9425,x9422,x9426,x9427))
% 190.77/190.69 [943]~E(x9431,x9432)+E(f824(x9433,x9434,x9435,x9436,x9431,x9437),f824(x9433,x9434,x9435,x9436,x9432,x9437))
% 190.77/190.69 [944]~E(x9441,x9442)+E(f824(x9443,x9444,x9445,x9446,x9447,x9441),f824(x9443,x9444,x9445,x9446,x9447,x9442))
% 190.77/190.69 [945]~E(x9451,x9452)+E(f53(x9451),f53(x9452))
% 190.77/190.69 [946]~E(x9461,x9462)+E(f383(x9461,x9463),f383(x9462,x9463))
% 190.77/190.69 [947]~E(x9471,x9472)+E(f383(x9473,x9471),f383(x9473,x9472))
% 190.77/190.69 [948]~E(x9481,x9482)+E(f182(x9481,x9483),f182(x9482,x9483))
% 190.77/190.69 [949]~E(x9491,x9492)+E(f182(x9493,x9491),f182(x9493,x9492))
% 190.77/190.69 [950]~E(x9501,x9502)+E(f547(x9501,x9503,x9504,x9505),f547(x9502,x9503,x9504,x9505))
% 190.77/190.69 [951]~E(x9511,x9512)+E(f547(x9513,x9511,x9514,x9515),f547(x9513,x9512,x9514,x9515))
% 190.77/190.69 [952]~E(x9521,x9522)+E(f547(x9523,x9524,x9521,x9525),f547(x9523,x9524,x9522,x9525))
% 190.77/190.69 [953]~E(x9531,x9532)+E(f547(x9533,x9534,x9535,x9531),f547(x9533,x9534,x9535,x9532))
% 190.77/190.69 [954]~E(x9541,x9542)+E(f111(x9541,x9543),f111(x9542,x9543))
% 190.77/190.69 [955]~E(x9551,x9552)+E(f111(x9553,x9551),f111(x9553,x9552))
% 190.77/190.69 [956]~E(x9561,x9562)+E(f548(x9561,x9563,x9564),f548(x9562,x9563,x9564))
% 190.77/190.69 [957]~E(x9571,x9572)+E(f548(x9573,x9571,x9574),f548(x9573,x9572,x9574))
% 190.77/190.69 [958]~E(x9581,x9582)+E(f548(x9583,x9584,x9581),f548(x9583,x9584,x9582))
% 190.77/190.69 [959]~E(x9591,x9592)+E(f226(x9591,x9593),f226(x9592,x9593))
% 190.77/190.69 [960]~E(x9601,x9602)+E(f226(x9603,x9601),f226(x9603,x9602))
% 190.77/190.69 [961]~E(x9611,x9612)+E(f57(x9611,x9613,x9614),f57(x9612,x9613,x9614))
% 190.77/190.69 [962]~E(x9621,x9622)+E(f57(x9623,x9621,x9624),f57(x9623,x9622,x9624))
% 190.77/190.69 [963]~E(x9631,x9632)+E(f57(x9633,x9634,x9631),f57(x9633,x9634,x9632))
% 190.77/190.69 [964]~E(x9641,x9642)+E(f452(x9641,x9643,x9644,x9645),f452(x9642,x9643,x9644,x9645))
% 190.77/190.69 [965]~E(x9651,x9652)+E(f452(x9653,x9651,x9654,x9655),f452(x9653,x9652,x9654,x9655))
% 190.77/190.69 [966]~E(x9661,x9662)+E(f452(x9663,x9664,x9661,x9665),f452(x9663,x9664,x9662,x9665))
% 190.77/190.69 [967]~E(x9671,x9672)+E(f452(x9673,x9674,x9675,x9671),f452(x9673,x9674,x9675,x9672))
% 190.77/190.69 [968]~E(x9681,x9682)+E(f718(x9681),f718(x9682))
% 190.77/190.69 [969]~E(x9691,x9692)+E(f851(x9691,x9693,x9694),f851(x9692,x9693,x9694))
% 190.77/190.69 [970]~E(x9701,x9702)+E(f851(x9703,x9701,x9704),f851(x9703,x9702,x9704))
% 190.77/190.69 [971]~E(x9711,x9712)+E(f851(x9713,x9714,x9711),f851(x9713,x9714,x9712))
% 190.77/190.69 [972]~E(x9721,x9722)+E(f725(x9721,x9723,x9724,x9725,x9726),f725(x9722,x9723,x9724,x9725,x9726))
% 190.77/190.69 [973]~E(x9731,x9732)+E(f725(x9733,x9731,x9734,x9735,x9736),f725(x9733,x9732,x9734,x9735,x9736))
% 190.77/190.69 [974]~E(x9741,x9742)+E(f725(x9743,x9744,x9741,x9745,x9746),f725(x9743,x9744,x9742,x9745,x9746))
% 190.77/190.69 [975]~E(x9751,x9752)+E(f725(x9753,x9754,x9755,x9751,x9756),f725(x9753,x9754,x9755,x9752,x9756))
% 190.77/190.69 [976]~E(x9761,x9762)+E(f725(x9763,x9764,x9765,x9766,x9761),f725(x9763,x9764,x9765,x9766,x9762))
% 190.77/190.69 [977]~E(x9771,x9772)+E(f651(x9771,x9773),f651(x9772,x9773))
% 190.77/190.69 [978]~E(x9781,x9782)+E(f651(x9783,x9781),f651(x9783,x9782))
% 190.77/190.69 [979]~E(x9791,x9792)+E(f255(x9791,x9793,x9794),f255(x9792,x9793,x9794))
% 190.77/190.69 [980]~E(x9801,x9802)+E(f255(x9803,x9801,x9804),f255(x9803,x9802,x9804))
% 190.77/190.69 [981]~E(x9811,x9812)+E(f255(x9813,x9814,x9811),f255(x9813,x9814,x9812))
% 190.77/190.69 [982]~E(x9821,x9822)+E(f594(x9821,x9823,x9824),f594(x9822,x9823,x9824))
% 190.77/190.69 [983]~E(x9831,x9832)+E(f594(x9833,x9831,x9834),f594(x9833,x9832,x9834))
% 190.77/190.69 [984]~E(x9841,x9842)+E(f594(x9843,x9844,x9841),f594(x9843,x9844,x9842))
% 190.77/190.69 [985]~E(x9851,x9852)+E(f427(x9851,x9853,x9854,x9855,x9856),f427(x9852,x9853,x9854,x9855,x9856))
% 190.77/190.69 [986]~E(x9861,x9862)+E(f427(x9863,x9861,x9864,x9865,x9866),f427(x9863,x9862,x9864,x9865,x9866))
% 190.77/190.69 [987]~E(x9871,x9872)+E(f427(x9873,x9874,x9871,x9875,x9876),f427(x9873,x9874,x9872,x9875,x9876))
% 190.77/190.69 [988]~E(x9881,x9882)+E(f427(x9883,x9884,x9885,x9881,x9886),f427(x9883,x9884,x9885,x9882,x9886))
% 190.77/190.69 [989]~E(x9891,x9892)+E(f427(x9893,x9894,x9895,x9896,x9891),f427(x9893,x9894,x9895,x9896,x9892))
% 190.77/190.69 [990]~E(x9901,x9902)+E(f760(x9901,x9903,x9904,x9905),f760(x9902,x9903,x9904,x9905))
% 190.77/190.69 [991]~E(x9911,x9912)+E(f760(x9913,x9911,x9914,x9915),f760(x9913,x9912,x9914,x9915))
% 190.77/190.69 [992]~E(x9921,x9922)+E(f760(x9923,x9924,x9921,x9925),f760(x9923,x9924,x9922,x9925))
% 190.77/190.69 [993]~E(x9931,x9932)+E(f760(x9933,x9934,x9935,x9931),f760(x9933,x9934,x9935,x9932))
% 190.77/190.69 [994]~E(x9941,x9942)+E(f887(x9941,x9943),f887(x9942,x9943))
% 190.77/190.69 [995]~E(x9951,x9952)+E(f887(x9953,x9951),f887(x9953,x9952))
% 190.77/190.69 [996]~E(x9961,x9962)+E(f619(x9961,x9963,x9964,x9965,x9966,x9967),f619(x9962,x9963,x9964,x9965,x9966,x9967))
% 190.77/190.69 [997]~E(x9971,x9972)+E(f619(x9973,x9971,x9974,x9975,x9976,x9977),f619(x9973,x9972,x9974,x9975,x9976,x9977))
% 190.77/190.69 [998]~E(x9981,x9982)+E(f619(x9983,x9984,x9981,x9985,x9986,x9987),f619(x9983,x9984,x9982,x9985,x9986,x9987))
% 190.77/190.69 [999]~E(x9991,x9992)+E(f619(x9993,x9994,x9995,x9991,x9996,x9997),f619(x9993,x9994,x9995,x9992,x9996,x9997))
% 190.77/190.69 [1000]~E(x10001,x10002)+E(f619(x10003,x10004,x10005,x10006,x10001,x10007),f619(x10003,x10004,x10005,x10006,x10002,x10007))
% 190.77/190.69 [1001]~E(x10011,x10012)+E(f619(x10013,x10014,x10015,x10016,x10017,x10011),f619(x10013,x10014,x10015,x10016,x10017,x10012))
% 190.77/190.69 [1002]~E(x10021,x10022)+E(f546(x10021,x10023,x10024,x10025),f546(x10022,x10023,x10024,x10025))
% 190.77/190.69 [1003]~E(x10031,x10032)+E(f546(x10033,x10031,x10034,x10035),f546(x10033,x10032,x10034,x10035))
% 190.77/190.69 [1004]~E(x10041,x10042)+E(f546(x10043,x10044,x10041,x10045),f546(x10043,x10044,x10042,x10045))
% 190.77/190.69 [1005]~E(x10051,x10052)+E(f546(x10053,x10054,x10055,x10051),f546(x10053,x10054,x10055,x10052))
% 190.77/190.69 [1006]~E(x10061,x10062)+E(f825(x10061,x10063,x10064,x10065,x10066,x10067,x10068,x10069),f825(x10062,x10063,x10064,x10065,x10066,x10067,x10068,x10069))
% 190.77/190.69 [1007]~E(x10071,x10072)+E(f825(x10073,x10071,x10074,x10075,x10076,x10077,x10078,x10079),f825(x10073,x10072,x10074,x10075,x10076,x10077,x10078,x10079))
% 190.77/190.69 [1008]~E(x10081,x10082)+E(f825(x10083,x10084,x10081,x10085,x10086,x10087,x10088,x10089),f825(x10083,x10084,x10082,x10085,x10086,x10087,x10088,x10089))
% 190.77/190.69 [1009]~E(x10091,x10092)+E(f825(x10093,x10094,x10095,x10091,x10096,x10097,x10098,x10099),f825(x10093,x10094,x10095,x10092,x10096,x10097,x10098,x10099))
% 190.77/190.69 [1010]~E(x10101,x10102)+E(f825(x10103,x10104,x10105,x10106,x10101,x10107,x10108,x10109),f825(x10103,x10104,x10105,x10106,x10102,x10107,x10108,x10109))
% 190.77/190.69 [1011]~E(x10111,x10112)+E(f825(x10113,x10114,x10115,x10116,x10117,x10111,x10118,x10119),f825(x10113,x10114,x10115,x10116,x10117,x10112,x10118,x10119))
% 190.77/190.69 [1012]~E(x10121,x10122)+E(f825(x10123,x10124,x10125,x10126,x10127,x10128,x10121,x10129),f825(x10123,x10124,x10125,x10126,x10127,x10128,x10122,x10129))
% 190.77/190.69 [1013]~E(x10131,x10132)+E(f825(x10133,x10134,x10135,x10136,x10137,x10138,x10139,x10131),f825(x10133,x10134,x10135,x10136,x10137,x10138,x10139,x10132))
% 190.77/190.69 [1014]~E(x10141,x10142)+E(f809(x10141,x10143,x10144),f809(x10142,x10143,x10144))
% 190.77/190.69 [1015]~E(x10151,x10152)+E(f809(x10153,x10151,x10154),f809(x10153,x10152,x10154))
% 190.77/190.69 [1016]~E(x10161,x10162)+E(f809(x10163,x10164,x10161),f809(x10163,x10164,x10162))
% 190.77/190.69 [1017]~E(x10171,x10172)+E(f537(x10171,x10173,x10174),f537(x10172,x10173,x10174))
% 190.77/190.69 [1018]~E(x10181,x10182)+E(f537(x10183,x10181,x10184),f537(x10183,x10182,x10184))
% 190.77/190.69 [1019]~E(x10191,x10192)+E(f537(x10193,x10194,x10191),f537(x10193,x10194,x10192))
% 190.77/190.69 [1020]~E(x10201,x10202)+E(f270(x10201,x10203,x10204,x10205),f270(x10202,x10203,x10204,x10205))
% 190.77/190.69 [1021]~E(x10211,x10212)+E(f270(x10213,x10211,x10214,x10215),f270(x10213,x10212,x10214,x10215))
% 190.77/190.69 [1022]~E(x10221,x10222)+E(f270(x10223,x10224,x10221,x10225),f270(x10223,x10224,x10222,x10225))
% 190.77/190.69 [1023]~E(x10231,x10232)+E(f270(x10233,x10234,x10235,x10231),f270(x10233,x10234,x10235,x10232))
% 190.77/190.69 [1024]~E(x10241,x10242)+E(f572(x10241,x10243,x10244,x10245,x10246),f572(x10242,x10243,x10244,x10245,x10246))
% 190.77/190.69 [1025]~E(x10251,x10252)+E(f572(x10253,x10251,x10254,x10255,x10256),f572(x10253,x10252,x10254,x10255,x10256))
% 190.77/190.69 [1026]~E(x10261,x10262)+E(f572(x10263,x10264,x10261,x10265,x10266),f572(x10263,x10264,x10262,x10265,x10266))
% 190.77/190.69 [1027]~E(x10271,x10272)+E(f572(x10273,x10274,x10275,x10271,x10276),f572(x10273,x10274,x10275,x10272,x10276))
% 190.77/190.69 [1028]~E(x10281,x10282)+E(f572(x10283,x10284,x10285,x10286,x10281),f572(x10283,x10284,x10285,x10286,x10282))
% 190.77/190.69 [1029]~E(x10291,x10292)+E(f419(x10291,x10293,x10294,x10295,x10296),f419(x10292,x10293,x10294,x10295,x10296))
% 190.77/190.69 [1030]~E(x10301,x10302)+E(f419(x10303,x10301,x10304,x10305,x10306),f419(x10303,x10302,x10304,x10305,x10306))
% 190.77/190.69 [1031]~E(x10311,x10312)+E(f419(x10313,x10314,x10311,x10315,x10316),f419(x10313,x10314,x10312,x10315,x10316))
% 190.77/190.69 [1032]~E(x10321,x10322)+E(f419(x10323,x10324,x10325,x10321,x10326),f419(x10323,x10324,x10325,x10322,x10326))
% 190.77/190.69 [1033]~E(x10331,x10332)+E(f419(x10333,x10334,x10335,x10336,x10331),f419(x10333,x10334,x10335,x10336,x10332))
% 190.77/190.69 [1034]~E(x10341,x10342)+E(f446(x10341,x10343,x10344,x10345),f446(x10342,x10343,x10344,x10345))
% 190.77/190.69 [1035]~E(x10351,x10352)+E(f446(x10353,x10351,x10354,x10355),f446(x10353,x10352,x10354,x10355))
% 190.77/190.69 [1036]~E(x10361,x10362)+E(f446(x10363,x10364,x10361,x10365),f446(x10363,x10364,x10362,x10365))
% 190.77/190.69 [1037]~E(x10371,x10372)+E(f446(x10373,x10374,x10375,x10371),f446(x10373,x10374,x10375,x10372))
% 190.77/190.69 [1038]~E(x10381,x10382)+E(f584(x10381,x10383,x10384,x10385,x10386),f584(x10382,x10383,x10384,x10385,x10386))
% 190.77/190.69 [1039]~E(x10391,x10392)+E(f584(x10393,x10391,x10394,x10395,x10396),f584(x10393,x10392,x10394,x10395,x10396))
% 190.77/190.69 [1040]~E(x10401,x10402)+E(f584(x10403,x10404,x10401,x10405,x10406),f584(x10403,x10404,x10402,x10405,x10406))
% 190.77/190.69 [1041]~E(x10411,x10412)+E(f584(x10413,x10414,x10415,x10411,x10416),f584(x10413,x10414,x10415,x10412,x10416))
% 190.77/190.69 [1042]~E(x10421,x10422)+E(f584(x10423,x10424,x10425,x10426,x10421),f584(x10423,x10424,x10425,x10426,x10422))
% 190.77/190.69 [1043]~E(x10431,x10432)+E(f257(x10431),f257(x10432))
% 190.77/190.69 [1044]~E(x10441,x10442)+E(f582(x10441,x10443,x10444,x10445,x10446),f582(x10442,x10443,x10444,x10445,x10446))
% 190.77/190.69 [1045]~E(x10451,x10452)+E(f582(x10453,x10451,x10454,x10455,x10456),f582(x10453,x10452,x10454,x10455,x10456))
% 190.77/190.69 [1046]~E(x10461,x10462)+E(f582(x10463,x10464,x10461,x10465,x10466),f582(x10463,x10464,x10462,x10465,x10466))
% 190.77/190.69 [1047]~E(x10471,x10472)+E(f582(x10473,x10474,x10475,x10471,x10476),f582(x10473,x10474,x10475,x10472,x10476))
% 190.77/190.69 [1048]~E(x10481,x10482)+E(f582(x10483,x10484,x10485,x10486,x10481),f582(x10483,x10484,x10485,x10486,x10482))
% 190.77/190.69 [1049]~E(x10491,x10492)+E(f604(x10491,x10493,x10494,x10495),f604(x10492,x10493,x10494,x10495))
% 190.77/190.69 [1050]~E(x10501,x10502)+E(f604(x10503,x10501,x10504,x10505),f604(x10503,x10502,x10504,x10505))
% 190.77/190.69 [1051]~E(x10511,x10512)+E(f604(x10513,x10514,x10511,x10515),f604(x10513,x10514,x10512,x10515))
% 190.77/190.69 [1052]~E(x10521,x10522)+E(f604(x10523,x10524,x10525,x10521),f604(x10523,x10524,x10525,x10522))
% 190.77/190.69 [1053]~E(x10531,x10532)+E(f806(x10531,x10533,x10534,x10535),f806(x10532,x10533,x10534,x10535))
% 190.77/190.69 [1054]~E(x10541,x10542)+E(f806(x10543,x10541,x10544,x10545),f806(x10543,x10542,x10544,x10545))
% 190.77/190.69 [1055]~E(x10551,x10552)+E(f806(x10553,x10554,x10551,x10555),f806(x10553,x10554,x10552,x10555))
% 190.77/190.69 [1056]~E(x10561,x10562)+E(f806(x10563,x10564,x10565,x10561),f806(x10563,x10564,x10565,x10562))
% 190.77/190.69 [1057]~E(x10571,x10572)+E(f847(x10571,x10573,x10574),f847(x10572,x10573,x10574))
% 190.77/190.69 [1058]~E(x10581,x10582)+E(f847(x10583,x10581,x10584),f847(x10583,x10582,x10584))
% 190.77/190.69 [1059]~E(x10591,x10592)+E(f847(x10593,x10594,x10591),f847(x10593,x10594,x10592))
% 190.77/190.69 [1060]~E(x10601,x10602)+E(f367(x10601,x10603,x10604,x10605),f367(x10602,x10603,x10604,x10605))
% 190.77/190.69 [1061]~E(x10611,x10612)+E(f367(x10613,x10611,x10614,x10615),f367(x10613,x10612,x10614,x10615))
% 190.77/190.69 [1062]~E(x10621,x10622)+E(f367(x10623,x10624,x10621,x10625),f367(x10623,x10624,x10622,x10625))
% 190.77/190.69 [1063]~E(x10631,x10632)+E(f367(x10633,x10634,x10635,x10631),f367(x10633,x10634,x10635,x10632))
% 190.77/190.69 [1064]~E(x10641,x10642)+E(f759(x10641,x10643,x10644,x10645),f759(x10642,x10643,x10644,x10645))
% 190.77/190.69 [1065]~E(x10651,x10652)+E(f759(x10653,x10651,x10654,x10655),f759(x10653,x10652,x10654,x10655))
% 190.77/190.69 [1066]~E(x10661,x10662)+E(f759(x10663,x10664,x10661,x10665),f759(x10663,x10664,x10662,x10665))
% 190.77/190.69 [1067]~E(x10671,x10672)+E(f759(x10673,x10674,x10675,x10671),f759(x10673,x10674,x10675,x10672))
% 190.77/190.69 [1068]~E(x10681,x10682)+E(f113(x10681),f113(x10682))
% 190.77/190.69 [1069]~E(x10691,x10692)+E(f220(x10691,x10693,x10694),f220(x10692,x10693,x10694))
% 190.77/190.69 [1070]~E(x10701,x10702)+E(f220(x10703,x10701,x10704),f220(x10703,x10702,x10704))
% 190.77/190.69 [1071]~E(x10711,x10712)+E(f220(x10713,x10714,x10711),f220(x10713,x10714,x10712))
% 190.77/190.69 [1072]~E(x10721,x10722)+E(f175(x10721,x10723,x10724,x10725),f175(x10722,x10723,x10724,x10725))
% 190.77/190.69 [1073]~E(x10731,x10732)+E(f175(x10733,x10731,x10734,x10735),f175(x10733,x10732,x10734,x10735))
% 190.77/190.69 [1074]~E(x10741,x10742)+E(f175(x10743,x10744,x10741,x10745),f175(x10743,x10744,x10742,x10745))
% 190.77/190.69 [1075]~E(x10751,x10752)+E(f175(x10753,x10754,x10755,x10751),f175(x10753,x10754,x10755,x10752))
% 190.77/190.69 [1076]~E(x10761,x10762)+E(f445(x10761,x10763,x10764),f445(x10762,x10763,x10764))
% 190.77/190.69 [1077]~E(x10771,x10772)+E(f445(x10773,x10771,x10774),f445(x10773,x10772,x10774))
% 190.77/190.69 [1078]~E(x10781,x10782)+E(f445(x10783,x10784,x10781),f445(x10783,x10784,x10782))
% 190.77/190.69 [1079]~E(x10791,x10792)+E(f271(x10791),f271(x10792))
% 190.77/190.69 [1080]~E(x10801,x10802)+E(f706(x10801,x10803),f706(x10802,x10803))
% 190.77/190.69 [1081]~E(x10811,x10812)+E(f706(x10813,x10811),f706(x10813,x10812))
% 190.77/190.69 [1082]~E(x10821,x10822)+E(f363(x10821,x10823,x10824,x10825),f363(x10822,x10823,x10824,x10825))
% 190.77/190.69 [1083]~E(x10831,x10832)+E(f363(x10833,x10831,x10834,x10835),f363(x10833,x10832,x10834,x10835))
% 190.77/190.69 [1084]~E(x10841,x10842)+E(f363(x10843,x10844,x10841,x10845),f363(x10843,x10844,x10842,x10845))
% 190.77/190.69 [1085]~E(x10851,x10852)+E(f363(x10853,x10854,x10855,x10851),f363(x10853,x10854,x10855,x10852))
% 190.77/190.69 [1086]~E(x10861,x10862)+E(f761(x10861,x10863,x10864,x10865),f761(x10862,x10863,x10864,x10865))
% 190.77/190.69 [1087]~E(x10871,x10872)+E(f761(x10873,x10871,x10874,x10875),f761(x10873,x10872,x10874,x10875))
% 190.77/190.69 [1088]~E(x10881,x10882)+E(f761(x10883,x10884,x10881,x10885),f761(x10883,x10884,x10882,x10885))
% 190.77/190.69 [1089]~E(x10891,x10892)+E(f761(x10893,x10894,x10895,x10891),f761(x10893,x10894,x10895,x10892))
% 190.77/190.69 [1090]~E(x10901,x10902)+E(f813(x10901,x10903,x10904,x10905,x10906,x10907),f813(x10902,x10903,x10904,x10905,x10906,x10907))
% 190.77/190.69 [1091]~E(x10911,x10912)+E(f813(x10913,x10911,x10914,x10915,x10916,x10917),f813(x10913,x10912,x10914,x10915,x10916,x10917))
% 190.77/190.69 [1092]~E(x10921,x10922)+E(f813(x10923,x10924,x10921,x10925,x10926,x10927),f813(x10923,x10924,x10922,x10925,x10926,x10927))
% 190.77/190.69 [1093]~E(x10931,x10932)+E(f813(x10933,x10934,x10935,x10931,x10936,x10937),f813(x10933,x10934,x10935,x10932,x10936,x10937))
% 190.77/190.69 [1094]~E(x10941,x10942)+E(f813(x10943,x10944,x10945,x10946,x10941,x10947),f813(x10943,x10944,x10945,x10946,x10942,x10947))
% 190.77/190.69 [1095]~E(x10951,x10952)+E(f813(x10953,x10954,x10955,x10956,x10957,x10951),f813(x10953,x10954,x10955,x10956,x10957,x10952))
% 190.77/190.69 [1096]~E(x10961,x10962)+E(f449(x10961,x10963,x10964),f449(x10962,x10963,x10964))
% 190.77/190.69 [1097]~E(x10971,x10972)+E(f449(x10973,x10971,x10974),f449(x10973,x10972,x10974))
% 190.77/190.69 [1098]~E(x10981,x10982)+E(f449(x10983,x10984,x10981),f449(x10983,x10984,x10982))
% 190.77/190.69 [1099]~E(x10991,x10992)+E(f454(x10991),f454(x10992))
% 190.77/190.69 [1100]~E(x11001,x11002)+E(f249(x11001,x11003,x11004,x11005),f249(x11002,x11003,x11004,x11005))
% 190.77/190.69 [1101]~E(x11011,x11012)+E(f249(x11013,x11011,x11014,x11015),f249(x11013,x11012,x11014,x11015))
% 190.77/190.69 [1102]~E(x11021,x11022)+E(f249(x11023,x11024,x11021,x11025),f249(x11023,x11024,x11022,x11025))
% 190.77/190.69 [1103]~E(x11031,x11032)+E(f249(x11033,x11034,x11035,x11031),f249(x11033,x11034,x11035,x11032))
% 190.77/190.69 [1104]~E(x11041,x11042)+E(f559(x11041,x11043),f559(x11042,x11043))
% 190.77/190.69 [1105]~E(x11051,x11052)+E(f559(x11053,x11051),f559(x11053,x11052))
% 190.77/190.69 [1106]~E(x11061,x11062)+E(f621(x11061,x11063,x11064,x11065),f621(x11062,x11063,x11064,x11065))
% 190.77/190.69 [1107]~E(x11071,x11072)+E(f621(x11073,x11071,x11074,x11075),f621(x11073,x11072,x11074,x11075))
% 190.77/190.69 [1108]~E(x11081,x11082)+E(f621(x11083,x11084,x11081,x11085),f621(x11083,x11084,x11082,x11085))
% 190.77/190.69 [1109]~E(x11091,x11092)+E(f621(x11093,x11094,x11095,x11091),f621(x11093,x11094,x11095,x11092))
% 190.77/190.69 [1110]~E(x11101,x11102)+E(f777(x11101,x11103,x11104,x11105),f777(x11102,x11103,x11104,x11105))
% 190.77/190.69 [1111]~E(x11111,x11112)+E(f777(x11113,x11111,x11114,x11115),f777(x11113,x11112,x11114,x11115))
% 190.77/190.69 [1112]~E(x11121,x11122)+E(f777(x11123,x11124,x11121,x11125),f777(x11123,x11124,x11122,x11125))
% 190.77/190.69 [1113]~E(x11131,x11132)+E(f777(x11133,x11134,x11135,x11131),f777(x11133,x11134,x11135,x11132))
% 190.77/190.69 [1114]~E(x11141,x11142)+E(f778(x11141),f778(x11142))
% 190.77/190.69 [1115]~E(x11151,x11152)+E(f775(x11151,x11153,x11154,x11155),f775(x11152,x11153,x11154,x11155))
% 190.77/190.69 [1116]~E(x11161,x11162)+E(f775(x11163,x11161,x11164,x11165),f775(x11163,x11162,x11164,x11165))
% 190.77/190.69 [1117]~E(x11171,x11172)+E(f775(x11173,x11174,x11171,x11175),f775(x11173,x11174,x11172,x11175))
% 190.77/190.69 [1118]~E(x11181,x11182)+E(f775(x11183,x11184,x11185,x11181),f775(x11183,x11184,x11185,x11182))
% 190.77/190.69 [1119]~E(x11191,x11192)+E(f433(x11191,x11193),f433(x11192,x11193))
% 190.77/190.69 [1120]~E(x11201,x11202)+E(f433(x11203,x11201),f433(x11203,x11202))
% 190.77/190.69 [1121]~E(x11211,x11212)+E(f455(x11211,x11213),f455(x11212,x11213))
% 190.77/190.69 [1122]~E(x11221,x11222)+E(f455(x11223,x11221),f455(x11223,x11222))
% 190.77/190.69 [1123]~E(x11231,x11232)+E(f749(x11231,x11233,x11234,x11235),f749(x11232,x11233,x11234,x11235))
% 190.77/190.69 [1124]~E(x11241,x11242)+E(f749(x11243,x11241,x11244,x11245),f749(x11243,x11242,x11244,x11245))
% 190.77/190.69 [1125]~E(x11251,x11252)+E(f749(x11253,x11254,x11251,x11255),f749(x11253,x11254,x11252,x11255))
% 190.77/190.69 [1126]~E(x11261,x11262)+E(f749(x11263,x11264,x11265,x11261),f749(x11263,x11264,x11265,x11262))
% 190.77/190.69 [1127]~E(x11271,x11272)+E(f431(x11271,x11273,x11274,x11275,x11276),f431(x11272,x11273,x11274,x11275,x11276))
% 190.77/190.69 [1128]~E(x11281,x11282)+E(f431(x11283,x11281,x11284,x11285,x11286),f431(x11283,x11282,x11284,x11285,x11286))
% 190.77/190.69 [1129]~E(x11291,x11292)+E(f431(x11293,x11294,x11291,x11295,x11296),f431(x11293,x11294,x11292,x11295,x11296))
% 190.77/190.69 [1130]~E(x11301,x11302)+E(f431(x11303,x11304,x11305,x11301,x11306),f431(x11303,x11304,x11305,x11302,x11306))
% 190.77/190.69 [1131]~E(x11311,x11312)+E(f431(x11313,x11314,x11315,x11316,x11311),f431(x11313,x11314,x11315,x11316,x11312))
% 190.77/190.69 [1132]~E(x11321,x11322)+E(f765(x11321,x11323,x11324,x11325,x11326,x11327,x11328),f765(x11322,x11323,x11324,x11325,x11326,x11327,x11328))
% 190.77/190.69 [1133]~E(x11331,x11332)+E(f765(x11333,x11331,x11334,x11335,x11336,x11337,x11338),f765(x11333,x11332,x11334,x11335,x11336,x11337,x11338))
% 190.77/190.69 [1134]~E(x11341,x11342)+E(f765(x11343,x11344,x11341,x11345,x11346,x11347,x11348),f765(x11343,x11344,x11342,x11345,x11346,x11347,x11348))
% 190.77/190.69 [1135]~E(x11351,x11352)+E(f765(x11353,x11354,x11355,x11351,x11356,x11357,x11358),f765(x11353,x11354,x11355,x11352,x11356,x11357,x11358))
% 190.77/190.69 [1136]~E(x11361,x11362)+E(f765(x11363,x11364,x11365,x11366,x11361,x11367,x11368),f765(x11363,x11364,x11365,x11366,x11362,x11367,x11368))
% 190.77/190.69 [1137]~E(x11371,x11372)+E(f765(x11373,x11374,x11375,x11376,x11377,x11371,x11378),f765(x11373,x11374,x11375,x11376,x11377,x11372,x11378))
% 190.77/190.69 [1138]~E(x11381,x11382)+E(f765(x11383,x11384,x11385,x11386,x11387,x11388,x11381),f765(x11383,x11384,x11385,x11386,x11387,x11388,x11382))
% 190.77/190.69 [1139]~E(x11391,x11392)+E(f822(x11391,x11393,x11394,x11395),f822(x11392,x11393,x11394,x11395))
% 190.77/190.69 [1140]~E(x11401,x11402)+E(f822(x11403,x11401,x11404,x11405),f822(x11403,x11402,x11404,x11405))
% 190.77/190.69 [1141]~E(x11411,x11412)+E(f822(x11413,x11414,x11411,x11415),f822(x11413,x11414,x11412,x11415))
% 190.77/190.69 [1142]~E(x11421,x11422)+E(f822(x11423,x11424,x11425,x11421),f822(x11423,x11424,x11425,x11422))
% 190.77/190.69 [1143]~E(x11431,x11432)+E(f386(x11431,x11433,x11434,x11435),f386(x11432,x11433,x11434,x11435))
% 190.77/190.69 [1144]~E(x11441,x11442)+E(f386(x11443,x11441,x11444,x11445),f386(x11443,x11442,x11444,x11445))
% 190.77/190.69 [1145]~E(x11451,x11452)+E(f386(x11453,x11454,x11451,x11455),f386(x11453,x11454,x11452,x11455))
% 190.77/190.69 [1146]~E(x11461,x11462)+E(f386(x11463,x11464,x11465,x11461),f386(x11463,x11464,x11465,x11462))
% 190.77/190.69 [1147]~E(x11471,x11472)+E(f145(x11471,x11473,x11474),f145(x11472,x11473,x11474))
% 190.77/190.69 [1148]~E(x11481,x11482)+E(f145(x11483,x11481,x11484),f145(x11483,x11482,x11484))
% 190.77/190.69 [1149]~E(x11491,x11492)+E(f145(x11493,x11494,x11491),f145(x11493,x11494,x11492))
% 190.77/190.69 [1150]~E(x11501,x11502)+E(f408(x11501,x11503,x11504),f408(x11502,x11503,x11504))
% 190.77/190.69 [1151]~E(x11511,x11512)+E(f408(x11513,x11511,x11514),f408(x11513,x11512,x11514))
% 190.77/190.69 [1152]~E(x11521,x11522)+E(f408(x11523,x11524,x11521),f408(x11523,x11524,x11522))
% 190.77/190.69 [1153]~E(x11531,x11532)+E(f403(x11531,x11533,x11534,x11535,x11536),f403(x11532,x11533,x11534,x11535,x11536))
% 190.77/190.69 [1154]~E(x11541,x11542)+E(f403(x11543,x11541,x11544,x11545,x11546),f403(x11543,x11542,x11544,x11545,x11546))
% 190.77/190.69 [1155]~E(x11551,x11552)+E(f403(x11553,x11554,x11551,x11555,x11556),f403(x11553,x11554,x11552,x11555,x11556))
% 190.77/190.69 [1156]~E(x11561,x11562)+E(f403(x11563,x11564,x11565,x11561,x11566),f403(x11563,x11564,x11565,x11562,x11566))
% 190.77/190.69 [1157]~E(x11571,x11572)+E(f403(x11573,x11574,x11575,x11576,x11571),f403(x11573,x11574,x11575,x11576,x11572))
% 190.77/190.69 [1158]~E(x11581,x11582)+E(f624(x11581,x11583,x11584,x11585),f624(x11582,x11583,x11584,x11585))
% 190.77/190.69 [1159]~E(x11591,x11592)+E(f624(x11593,x11591,x11594,x11595),f624(x11593,x11592,x11594,x11595))
% 190.77/190.69 [1160]~E(x11601,x11602)+E(f624(x11603,x11604,x11601,x11605),f624(x11603,x11604,x11602,x11605))
% 190.77/190.69 [1161]~E(x11611,x11612)+E(f624(x11613,x11614,x11615,x11611),f624(x11613,x11614,x11615,x11612))
% 190.77/190.69 [1162]~E(x11621,x11622)+E(f447(x11621,x11623,x11624,x11625,x11626),f447(x11622,x11623,x11624,x11625,x11626))
% 190.77/190.69 [1163]~E(x11631,x11632)+E(f447(x11633,x11631,x11634,x11635,x11636),f447(x11633,x11632,x11634,x11635,x11636))
% 190.77/190.69 [1164]~E(x11641,x11642)+E(f447(x11643,x11644,x11641,x11645,x11646),f447(x11643,x11644,x11642,x11645,x11646))
% 190.77/190.69 [1165]~E(x11651,x11652)+E(f447(x11653,x11654,x11655,x11651,x11656),f447(x11653,x11654,x11655,x11652,x11656))
% 190.77/190.69 [1166]~E(x11661,x11662)+E(f447(x11663,x11664,x11665,x11666,x11661),f447(x11663,x11664,x11665,x11666,x11662))
% 190.77/190.69 [1167]~E(x11671,x11672)+E(f418(x11671,x11673,x11674,x11675),f418(x11672,x11673,x11674,x11675))
% 190.77/190.69 [1168]~E(x11681,x11682)+E(f418(x11683,x11681,x11684,x11685),f418(x11683,x11682,x11684,x11685))
% 190.77/190.69 [1169]~E(x11691,x11692)+E(f418(x11693,x11694,x11691,x11695),f418(x11693,x11694,x11692,x11695))
% 190.77/190.69 [1170]~E(x11701,x11702)+E(f418(x11703,x11704,x11705,x11701),f418(x11703,x11704,x11705,x11702))
% 190.77/190.69 [1171]~E(x11711,x11712)+E(f254(x11711,x11713),f254(x11712,x11713))
% 190.77/190.69 [1172]~E(x11721,x11722)+E(f254(x11723,x11721),f254(x11723,x11722))
% 190.77/190.69 [1173]~E(x11731,x11732)+E(f764(x11731,x11733,x11734,x11735,x11736,x11737,x11738),f764(x11732,x11733,x11734,x11735,x11736,x11737,x11738))
% 190.77/190.69 [1174]~E(x11741,x11742)+E(f764(x11743,x11741,x11744,x11745,x11746,x11747,x11748),f764(x11743,x11742,x11744,x11745,x11746,x11747,x11748))
% 190.77/190.69 [1175]~E(x11751,x11752)+E(f764(x11753,x11754,x11751,x11755,x11756,x11757,x11758),f764(x11753,x11754,x11752,x11755,x11756,x11757,x11758))
% 190.77/190.69 [1176]~E(x11761,x11762)+E(f764(x11763,x11764,x11765,x11761,x11766,x11767,x11768),f764(x11763,x11764,x11765,x11762,x11766,x11767,x11768))
% 190.77/190.69 [1177]~E(x11771,x11772)+E(f764(x11773,x11774,x11775,x11776,x11771,x11777,x11778),f764(x11773,x11774,x11775,x11776,x11772,x11777,x11778))
% 190.77/190.69 [1178]~E(x11781,x11782)+E(f764(x11783,x11784,x11785,x11786,x11787,x11781,x11788),f764(x11783,x11784,x11785,x11786,x11787,x11782,x11788))
% 190.77/190.69 [1179]~E(x11791,x11792)+E(f764(x11793,x11794,x11795,x11796,x11797,x11798,x11791),f764(x11793,x11794,x11795,x11796,x11797,x11798,x11792))
% 190.77/190.69 [1180]~E(x11801,x11802)+E(f743(x11801,x11803,x11804),f743(x11802,x11803,x11804))
% 190.77/190.69 [1181]~E(x11811,x11812)+E(f743(x11813,x11811,x11814),f743(x11813,x11812,x11814))
% 190.77/190.69 [1182]~E(x11821,x11822)+E(f743(x11823,x11824,x11821),f743(x11823,x11824,x11822))
% 190.77/190.69 [1183]~E(x11831,x11832)+E(f118(x11831,x11833),f118(x11832,x11833))
% 190.77/190.69 [1184]~E(x11841,x11842)+E(f118(x11843,x11841),f118(x11843,x11842))
% 190.77/190.69 [1185]~E(x11851,x11852)+E(f122(x11851,x11853),f122(x11852,x11853))
% 190.77/190.69 [1186]~E(x11861,x11862)+E(f122(x11863,x11861),f122(x11863,x11862))
% 190.77/190.69 [1187]~E(x11871,x11872)+E(f792(x11871,x11873,x11874,x11875,x11876,x11877),f792(x11872,x11873,x11874,x11875,x11876,x11877))
% 190.77/190.69 [1188]~E(x11881,x11882)+E(f792(x11883,x11881,x11884,x11885,x11886,x11887),f792(x11883,x11882,x11884,x11885,x11886,x11887))
% 190.77/190.69 [1189]~E(x11891,x11892)+E(f792(x11893,x11894,x11891,x11895,x11896,x11897),f792(x11893,x11894,x11892,x11895,x11896,x11897))
% 190.77/190.69 [1190]~E(x11901,x11902)+E(f792(x11903,x11904,x11905,x11901,x11906,x11907),f792(x11903,x11904,x11905,x11902,x11906,x11907))
% 190.77/190.69 [1191]~E(x11911,x11912)+E(f792(x11913,x11914,x11915,x11916,x11911,x11917),f792(x11913,x11914,x11915,x11916,x11912,x11917))
% 190.77/190.69 [1192]~E(x11921,x11922)+E(f792(x11923,x11924,x11925,x11926,x11927,x11921),f792(x11923,x11924,x11925,x11926,x11927,x11922))
% 190.77/190.69 [1193]~E(x11931,x11932)+E(f71(x11931,x11933,x11934,x11935),f71(x11932,x11933,x11934,x11935))
% 190.77/190.69 [1194]~E(x11941,x11942)+E(f71(x11943,x11941,x11944,x11945),f71(x11943,x11942,x11944,x11945))
% 190.77/190.69 [1195]~E(x11951,x11952)+E(f71(x11953,x11954,x11951,x11955),f71(x11953,x11954,x11952,x11955))
% 190.77/190.69 [1196]~E(x11961,x11962)+E(f71(x11963,x11964,x11965,x11961),f71(x11963,x11964,x11965,x11962))
% 190.77/190.69 [1197]~E(x11971,x11972)+E(f395(x11971,x11973,x11974),f395(x11972,x11973,x11974))
% 190.77/190.69 [1198]~E(x11981,x11982)+E(f395(x11983,x11981,x11984),f395(x11983,x11982,x11984))
% 190.77/190.69 [1199]~E(x11991,x11992)+E(f395(x11993,x11994,x11991),f395(x11993,x11994,x11992))
% 190.77/190.69 [1200]~E(x12001,x12002)+E(f831(x12001,x12003,x12004),f831(x12002,x12003,x12004))
% 190.77/190.69 [1201]~E(x12011,x12012)+E(f831(x12013,x12011,x12014),f831(x12013,x12012,x12014))
% 190.77/190.69 [1202]~E(x12021,x12022)+E(f831(x12023,x12024,x12021),f831(x12023,x12024,x12022))
% 190.77/190.69 [1203]~E(x12031,x12032)+E(f627(x12031,x12033,x12034,x12035,x12036),f627(x12032,x12033,x12034,x12035,x12036))
% 190.77/190.69 [1204]~E(x12041,x12042)+E(f627(x12043,x12041,x12044,x12045,x12046),f627(x12043,x12042,x12044,x12045,x12046))
% 190.77/190.69 [1205]~E(x12051,x12052)+E(f627(x12053,x12054,x12051,x12055,x12056),f627(x12053,x12054,x12052,x12055,x12056))
% 190.77/190.69 [1206]~E(x12061,x12062)+E(f627(x12063,x12064,x12065,x12061,x12066),f627(x12063,x12064,x12065,x12062,x12066))
% 190.77/190.69 [1207]~E(x12071,x12072)+E(f627(x12073,x12074,x12075,x12076,x12071),f627(x12073,x12074,x12075,x12076,x12072))
% 190.77/190.69 [1208]~E(x12081,x12082)+E(f250(x12081,x12083,x12084,x12085,x12086),f250(x12082,x12083,x12084,x12085,x12086))
% 190.77/190.69 [1209]~E(x12091,x12092)+E(f250(x12093,x12091,x12094,x12095,x12096),f250(x12093,x12092,x12094,x12095,x12096))
% 190.77/190.69 [1210]~E(x12101,x12102)+E(f250(x12103,x12104,x12101,x12105,x12106),f250(x12103,x12104,x12102,x12105,x12106))
% 190.77/190.69 [1211]~E(x12111,x12112)+E(f250(x12113,x12114,x12115,x12111,x12116),f250(x12113,x12114,x12115,x12112,x12116))
% 190.77/190.69 [1212]~E(x12121,x12122)+E(f250(x12123,x12124,x12125,x12126,x12121),f250(x12123,x12124,x12125,x12126,x12122))
% 190.77/190.69 [1213]~E(x12131,x12132)+E(f865(x12131,x12133,x12134),f865(x12132,x12133,x12134))
% 190.77/190.69 [1214]~E(x12141,x12142)+E(f865(x12143,x12141,x12144),f865(x12143,x12142,x12144))
% 190.77/190.69 [1215]~E(x12151,x12152)+E(f865(x12153,x12154,x12151),f865(x12153,x12154,x12152))
% 190.77/190.69 [1216]~E(x12161,x12162)+E(f457(x12161,x12163,x12164,x12165),f457(x12162,x12163,x12164,x12165))
% 190.77/190.69 [1217]~E(x12171,x12172)+E(f457(x12173,x12171,x12174,x12175),f457(x12173,x12172,x12174,x12175))
% 190.77/190.69 [1218]~E(x12181,x12182)+E(f457(x12183,x12184,x12181,x12185),f457(x12183,x12184,x12182,x12185))
% 190.77/190.69 [1219]~E(x12191,x12192)+E(f457(x12193,x12194,x12195,x12191),f457(x12193,x12194,x12195,x12192))
% 190.77/190.69 [1220]~E(x12201,x12202)+E(f140(x12201,x12203,x12204,x12205),f140(x12202,x12203,x12204,x12205))
% 190.77/190.69 [1221]~E(x12211,x12212)+E(f140(x12213,x12211,x12214,x12215),f140(x12213,x12212,x12214,x12215))
% 190.77/190.69 [1222]~E(x12221,x12222)+E(f140(x12223,x12224,x12221,x12225),f140(x12223,x12224,x12222,x12225))
% 190.77/190.69 [1223]~E(x12231,x12232)+E(f140(x12233,x12234,x12235,x12231),f140(x12233,x12234,x12235,x12232))
% 190.77/190.69 [1224]~E(x12241,x12242)+E(f278(x12241,x12243),f278(x12242,x12243))
% 190.77/190.69 [1225]~E(x12251,x12252)+E(f278(x12253,x12251),f278(x12253,x12252))
% 190.77/190.69 [1226]~E(x12261,x12262)+E(f377(x12261,x12263),f377(x12262,x12263))
% 190.77/190.69 [1227]~E(x12271,x12272)+E(f377(x12273,x12271),f377(x12273,x12272))
% 190.77/190.69 [1228]~E(x12281,x12282)+E(f366(x12281,x12283,x12284,x12285),f366(x12282,x12283,x12284,x12285))
% 190.77/190.69 [1229]~E(x12291,x12292)+E(f366(x12293,x12291,x12294,x12295),f366(x12293,x12292,x12294,x12295))
% 190.77/190.69 [1230]~E(x12301,x12302)+E(f366(x12303,x12304,x12301,x12305),f366(x12303,x12304,x12302,x12305))
% 190.77/190.69 [1231]~E(x12311,x12312)+E(f366(x12313,x12314,x12315,x12311),f366(x12313,x12314,x12315,x12312))
% 190.77/190.69 [1232]~E(x12321,x12322)+E(f189(x12321,x12323),f189(x12322,x12323))
% 190.77/190.69 [1233]~E(x12331,x12332)+E(f189(x12333,x12331),f189(x12333,x12332))
% 190.77/190.69 [1234]~E(x12341,x12342)+E(f614(x12341,x12343),f614(x12342,x12343))
% 190.77/190.69 [1235]~E(x12351,x12352)+E(f614(x12353,x12351),f614(x12353,x12352))
% 190.77/190.69 [1236]~E(x12361,x12362)+E(f119(x12361),f119(x12362))
% 190.77/190.69 [1237]~E(x12371,x12372)+E(f823(x12371,x12373,x12374,x12375,x12376,x12377),f823(x12372,x12373,x12374,x12375,x12376,x12377))
% 190.77/190.69 [1238]~E(x12381,x12382)+E(f823(x12383,x12381,x12384,x12385,x12386,x12387),f823(x12383,x12382,x12384,x12385,x12386,x12387))
% 190.77/190.69 [1239]~E(x12391,x12392)+E(f823(x12393,x12394,x12391,x12395,x12396,x12397),f823(x12393,x12394,x12392,x12395,x12396,x12397))
% 190.77/190.69 [1240]~E(x12401,x12402)+E(f823(x12403,x12404,x12405,x12401,x12406,x12407),f823(x12403,x12404,x12405,x12402,x12406,x12407))
% 190.77/190.69 [1241]~E(x12411,x12412)+E(f823(x12413,x12414,x12415,x12416,x12411,x12417),f823(x12413,x12414,x12415,x12416,x12412,x12417))
% 190.77/190.69 [1242]~E(x12421,x12422)+E(f823(x12423,x12424,x12425,x12426,x12427,x12421),f823(x12423,x12424,x12425,x12426,x12427,x12422))
% 190.77/190.69 [1243]~E(x12431,x12432)+E(f515(x12431,x12433,x12434),f515(x12432,x12433,x12434))
% 190.77/190.69 [1244]~E(x12441,x12442)+E(f515(x12443,x12441,x12444),f515(x12443,x12442,x12444))
% 190.77/190.69 [1245]~E(x12451,x12452)+E(f515(x12453,x12454,x12451),f515(x12453,x12454,x12452))
% 190.77/190.69 [1246]~E(x12461,x12462)+E(f479(x12461,x12463,x12464),f479(x12462,x12463,x12464))
% 190.77/190.69 [1247]~E(x12471,x12472)+E(f479(x12473,x12471,x12474),f479(x12473,x12472,x12474))
% 190.77/190.69 [1248]~E(x12481,x12482)+E(f479(x12483,x12484,x12481),f479(x12483,x12484,x12482))
% 190.77/190.69 [1249]~E(x12491,x12492)+E(f287(x12491,x12493,x12494,x12495,x12496),f287(x12492,x12493,x12494,x12495,x12496))
% 190.77/190.69 [1250]~E(x12501,x12502)+E(f287(x12503,x12501,x12504,x12505,x12506),f287(x12503,x12502,x12504,x12505,x12506))
% 190.77/190.69 [1251]~E(x12511,x12512)+E(f287(x12513,x12514,x12511,x12515,x12516),f287(x12513,x12514,x12512,x12515,x12516))
% 190.77/190.69 [1252]~E(x12521,x12522)+E(f287(x12523,x12524,x12525,x12521,x12526),f287(x12523,x12524,x12525,x12522,x12526))
% 190.77/190.69 [1253]~E(x12531,x12532)+E(f287(x12533,x12534,x12535,x12536,x12531),f287(x12533,x12534,x12535,x12536,x12532))
% 190.77/190.69 [1254]~E(x12541,x12542)+E(f692(x12541,x12543,x12544),f692(x12542,x12543,x12544))
% 190.77/190.69 [1255]~E(x12551,x12552)+E(f692(x12553,x12551,x12554),f692(x12553,x12552,x12554))
% 190.77/190.69 [1256]~E(x12561,x12562)+E(f692(x12563,x12564,x12561),f692(x12563,x12564,x12562))
% 190.77/190.69 [1257]~E(x12571,x12572)+E(f595(x12571,x12573,x12574),f595(x12572,x12573,x12574))
% 190.77/190.69 [1258]~E(x12581,x12582)+E(f595(x12583,x12581,x12584),f595(x12583,x12582,x12584))
% 190.77/190.69 [1259]~E(x12591,x12592)+E(f595(x12593,x12594,x12591),f595(x12593,x12594,x12592))
% 190.77/190.69 [1260]~E(x12601,x12602)+E(f153(x12601,x12603,x12604,x12605),f153(x12602,x12603,x12604,x12605))
% 190.77/190.69 [1261]~E(x12611,x12612)+E(f153(x12613,x12611,x12614,x12615),f153(x12613,x12612,x12614,x12615))
% 190.77/190.69 [1262]~E(x12621,x12622)+E(f153(x12623,x12624,x12621,x12625),f153(x12623,x12624,x12622,x12625))
% 190.77/190.69 [1263]~E(x12631,x12632)+E(f153(x12633,x12634,x12635,x12631),f153(x12633,x12634,x12635,x12632))
% 190.77/190.69 [1264]~E(x12641,x12642)+E(f51(x12641,x12643,x12644),f51(x12642,x12643,x12644))
% 190.77/190.69 [1265]~E(x12651,x12652)+E(f51(x12653,x12651,x12654),f51(x12653,x12652,x12654))
% 190.77/190.69 [1266]~E(x12661,x12662)+E(f51(x12663,x12664,x12661),f51(x12663,x12664,x12662))
% 190.77/190.69 [1267]~E(x12671,x12672)+E(f818(x12671,x12673,x12674,x12675,x12676,x12677,x12678,x12679),f818(x12672,x12673,x12674,x12675,x12676,x12677,x12678,x12679))
% 190.77/190.69 [1268]~E(x12681,x12682)+E(f818(x12683,x12681,x12684,x12685,x12686,x12687,x12688,x12689),f818(x12683,x12682,x12684,x12685,x12686,x12687,x12688,x12689))
% 190.77/190.69 [1269]~E(x12691,x12692)+E(f818(x12693,x12694,x12691,x12695,x12696,x12697,x12698,x12699),f818(x12693,x12694,x12692,x12695,x12696,x12697,x12698,x12699))
% 190.77/190.69 [1270]~E(x12701,x12702)+E(f818(x12703,x12704,x12705,x12701,x12706,x12707,x12708,x12709),f818(x12703,x12704,x12705,x12702,x12706,x12707,x12708,x12709))
% 190.77/190.69 [1271]~E(x12711,x12712)+E(f818(x12713,x12714,x12715,x12716,x12711,x12717,x12718,x12719),f818(x12713,x12714,x12715,x12716,x12712,x12717,x12718,x12719))
% 190.77/190.69 [1272]~E(x12721,x12722)+E(f818(x12723,x12724,x12725,x12726,x12727,x12721,x12728,x12729),f818(x12723,x12724,x12725,x12726,x12727,x12722,x12728,x12729))
% 190.77/190.69 [1273]~E(x12731,x12732)+E(f818(x12733,x12734,x12735,x12736,x12737,x12738,x12731,x12739),f818(x12733,x12734,x12735,x12736,x12737,x12738,x12732,x12739))
% 190.77/190.69 [1274]~E(x12741,x12742)+E(f818(x12743,x12744,x12745,x12746,x12747,x12748,x12749,x12741),f818(x12743,x12744,x12745,x12746,x12747,x12748,x12749,x12742))
% 190.77/190.69 [1275]~E(x12751,x12752)+E(f50(x12751,x12753),f50(x12752,x12753))
% 190.77/190.69 [1276]~E(x12761,x12762)+E(f50(x12763,x12761),f50(x12763,x12762))
% 190.77/190.69 [1277]~E(x12771,x12772)+E(f780(x12771,x12773),f780(x12772,x12773))
% 190.77/190.69 [1278]~E(x12781,x12782)+E(f780(x12783,x12781),f780(x12783,x12782))
% 190.77/190.69 [1279]~E(x12791,x12792)+E(f478(x12791,x12793,x12794),f478(x12792,x12793,x12794))
% 190.77/190.69 [1280]~E(x12801,x12802)+E(f478(x12803,x12801,x12804),f478(x12803,x12802,x12804))
% 190.77/190.69 [1281]~E(x12811,x12812)+E(f478(x12813,x12814,x12811),f478(x12813,x12814,x12812))
% 190.77/190.69 [1282]~E(x12821,x12822)+E(f467(x12821,x12823,x12824),f467(x12822,x12823,x12824))
% 190.77/190.69 [1283]~E(x12831,x12832)+E(f467(x12833,x12831,x12834),f467(x12833,x12832,x12834))
% 190.77/190.69 [1284]~E(x12841,x12842)+E(f467(x12843,x12844,x12841),f467(x12843,x12844,x12842))
% 190.77/190.69 [1285]~E(x12851,x12852)+E(f163(x12851,x12853,x12854),f163(x12852,x12853,x12854))
% 190.77/190.69 [1286]~E(x12861,x12862)+E(f163(x12863,x12861,x12864),f163(x12863,x12862,x12864))
% 190.77/190.69 [1287]~E(x12871,x12872)+E(f163(x12873,x12874,x12871),f163(x12873,x12874,x12872))
% 190.77/190.69 [1288]~E(x12881,x12882)+E(f49(x12881,x12883),f49(x12882,x12883))
% 190.77/190.69 [1289]~E(x12891,x12892)+E(f49(x12893,x12891),f49(x12893,x12892))
% 190.77/190.69 [1290]~E(x12901,x12902)+E(f695(x12901,x12903,x12904),f695(x12902,x12903,x12904))
% 190.77/190.69 [1291]~E(x12911,x12912)+E(f695(x12913,x12911,x12914),f695(x12913,x12912,x12914))
% 190.77/190.69 [1292]~E(x12921,x12922)+E(f695(x12923,x12924,x12921),f695(x12923,x12924,x12922))
% 190.77/190.69 [1293]~E(x12931,x12932)+E(f560(x12931,x12933,x12934),f560(x12932,x12933,x12934))
% 190.77/190.69 [1294]~E(x12941,x12942)+E(f560(x12943,x12941,x12944),f560(x12943,x12942,x12944))
% 190.77/190.69 [1295]~E(x12951,x12952)+E(f560(x12953,x12954,x12951),f560(x12953,x12954,x12952))
% 190.77/190.69 [1296]~E(x12961,x12962)+E(f106(x12961,x12963,x12964),f106(x12962,x12963,x12964))
% 190.77/190.69 [1297]~E(x12971,x12972)+E(f106(x12973,x12971,x12974),f106(x12973,x12972,x12974))
% 190.77/190.69 [1298]~E(x12981,x12982)+E(f106(x12983,x12984,x12981),f106(x12983,x12984,x12982))
% 190.77/190.69 [1299]~E(x12991,x12992)+E(f877(x12991,x12993,x12994),f877(x12992,x12993,x12994))
% 190.77/190.69 [1300]~E(x13001,x13002)+E(f877(x13003,x13001,x13004),f877(x13003,x13002,x13004))
% 190.77/190.69 [1301]~E(x13011,x13012)+E(f877(x13013,x13014,x13011),f877(x13013,x13014,x13012))
% 190.77/190.69 [1302]~E(x13021,x13022)+E(f325(x13021,x13023,x13024,x13025),f325(x13022,x13023,x13024,x13025))
% 190.77/190.69 [1303]~E(x13031,x13032)+E(f325(x13033,x13031,x13034,x13035),f325(x13033,x13032,x13034,x13035))
% 190.77/190.69 [1304]~E(x13041,x13042)+E(f325(x13043,x13044,x13041,x13045),f325(x13043,x13044,x13042,x13045))
% 190.77/190.69 [1305]~E(x13051,x13052)+E(f325(x13053,x13054,x13055,x13051),f325(x13053,x13054,x13055,x13052))
% 190.77/190.69 [1306]~E(x13061,x13062)+E(f789(x13061,x13063,x13064,x13065,x13066),f789(x13062,x13063,x13064,x13065,x13066))
% 190.77/190.69 [1307]~E(x13071,x13072)+E(f789(x13073,x13071,x13074,x13075,x13076),f789(x13073,x13072,x13074,x13075,x13076))
% 190.77/190.69 [1308]~E(x13081,x13082)+E(f789(x13083,x13084,x13081,x13085,x13086),f789(x13083,x13084,x13082,x13085,x13086))
% 190.77/190.69 [1309]~E(x13091,x13092)+E(f789(x13093,x13094,x13095,x13091,x13096),f789(x13093,x13094,x13095,x13092,x13096))
% 190.77/190.69 [1310]~E(x13101,x13102)+E(f789(x13103,x13104,x13105,x13106,x13101),f789(x13103,x13104,x13105,x13106,x13102))
% 190.77/190.69 [1311]~E(x13111,x13112)+E(f385(x13111,x13113,x13114,x13115),f385(x13112,x13113,x13114,x13115))
% 190.77/190.69 [1312]~E(x13121,x13122)+E(f385(x13123,x13121,x13124,x13125),f385(x13123,x13122,x13124,x13125))
% 190.77/190.69 [1313]~E(x13131,x13132)+E(f385(x13133,x13134,x13131,x13135),f385(x13133,x13134,x13132,x13135))
% 190.77/190.69 [1314]~E(x13141,x13142)+E(f385(x13143,x13144,x13145,x13141),f385(x13143,x13144,x13145,x13142))
% 190.77/190.69 [1315]~E(x13151,x13152)+E(f731(x13151,x13153,x13154,x13155),f731(x13152,x13153,x13154,x13155))
% 190.77/190.69 [1316]~E(x13161,x13162)+E(f731(x13163,x13161,x13164,x13165),f731(x13163,x13162,x13164,x13165))
% 190.77/190.69 [1317]~E(x13171,x13172)+E(f731(x13173,x13174,x13171,x13175),f731(x13173,x13174,x13172,x13175))
% 190.77/190.69 [1318]~E(x13181,x13182)+E(f731(x13183,x13184,x13185,x13181),f731(x13183,x13184,x13185,x13182))
% 190.77/190.69 [1319]~E(x13191,x13192)+E(f265(x13191,x13193),f265(x13192,x13193))
% 190.77/190.69 [1320]~E(x13201,x13202)+E(f265(x13203,x13201),f265(x13203,x13202))
% 190.77/190.69 [1321]~E(x13211,x13212)+E(f563(x13211,x13213,x13214,x13215,x13216),f563(x13212,x13213,x13214,x13215,x13216))
% 190.77/190.69 [1322]~E(x13221,x13222)+E(f563(x13223,x13221,x13224,x13225,x13226),f563(x13223,x13222,x13224,x13225,x13226))
% 190.77/190.69 [1323]~E(x13231,x13232)+E(f563(x13233,x13234,x13231,x13235,x13236),f563(x13233,x13234,x13232,x13235,x13236))
% 190.77/190.69 [1324]~E(x13241,x13242)+E(f563(x13243,x13244,x13245,x13241,x13246),f563(x13243,x13244,x13245,x13242,x13246))
% 190.77/190.69 [1325]~E(x13251,x13252)+E(f563(x13253,x13254,x13255,x13256,x13251),f563(x13253,x13254,x13255,x13256,x13252))
% 190.77/190.69 [1326]~E(x13261,x13262)+E(f166(x13261,x13263,x13264),f166(x13262,x13263,x13264))
% 190.77/190.69 [1327]~E(x13271,x13272)+E(f166(x13273,x13271,x13274),f166(x13273,x13272,x13274))
% 190.77/190.69 [1328]~E(x13281,x13282)+E(f166(x13283,x13284,x13281),f166(x13283,x13284,x13282))
% 190.77/190.69 [1329]~E(x13291,x13292)+E(f496(x13291,x13293,x13294,x13295),f496(x13292,x13293,x13294,x13295))
% 190.77/190.69 [1330]~E(x13301,x13302)+E(f496(x13303,x13301,x13304,x13305),f496(x13303,x13302,x13304,x13305))
% 190.77/190.69 [1331]~E(x13311,x13312)+E(f496(x13313,x13314,x13311,x13315),f496(x13313,x13314,x13312,x13315))
% 190.77/190.69 [1332]~E(x13321,x13322)+E(f496(x13323,x13324,x13325,x13321),f496(x13323,x13324,x13325,x13322))
% 190.77/190.69 [1333]~E(x13331,x13332)+E(f575(x13331,x13333,x13334,x13335,x13336),f575(x13332,x13333,x13334,x13335,x13336))
% 190.77/190.69 [1334]~E(x13341,x13342)+E(f575(x13343,x13341,x13344,x13345,x13346),f575(x13343,x13342,x13344,x13345,x13346))
% 190.77/190.69 [1335]~E(x13351,x13352)+E(f575(x13353,x13354,x13351,x13355,x13356),f575(x13353,x13354,x13352,x13355,x13356))
% 190.77/190.69 [1336]~E(x13361,x13362)+E(f575(x13363,x13364,x13365,x13361,x13366),f575(x13363,x13364,x13365,x13362,x13366))
% 190.77/190.69 [1337]~E(x13371,x13372)+E(f575(x13373,x13374,x13375,x13376,x13371),f575(x13373,x13374,x13375,x13376,x13372))
% 190.77/190.69 [1338]~E(x13381,x13382)+E(f754(x13381,x13383,x13384,x13385),f754(x13382,x13383,x13384,x13385))
% 190.77/190.69 [1339]~E(x13391,x13392)+E(f754(x13393,x13391,x13394,x13395),f754(x13393,x13392,x13394,x13395))
% 190.77/190.69 [1340]~E(x13401,x13402)+E(f754(x13403,x13404,x13401,x13405),f754(x13403,x13404,x13402,x13405))
% 190.77/190.69 [1341]~E(x13411,x13412)+E(f754(x13413,x13414,x13415,x13411),f754(x13413,x13414,x13415,x13412))
% 190.77/190.69 [1342]~E(x13421,x13422)+E(f136(x13421,x13423),f136(x13422,x13423))
% 190.77/190.69 [1343]~E(x13431,x13432)+E(f136(x13433,x13431),f136(x13433,x13432))
% 190.77/190.69 [1344]~E(x13441,x13442)+E(f721(x13441,x13443,x13444,x13445,x13446),f721(x13442,x13443,x13444,x13445,x13446))
% 190.77/190.69 [1345]~E(x13451,x13452)+E(f721(x13453,x13451,x13454,x13455,x13456),f721(x13453,x13452,x13454,x13455,x13456))
% 190.77/190.69 [1346]~E(x13461,x13462)+E(f721(x13463,x13464,x13461,x13465,x13466),f721(x13463,x13464,x13462,x13465,x13466))
% 190.77/190.69 [1347]~E(x13471,x13472)+E(f721(x13473,x13474,x13475,x13471,x13476),f721(x13473,x13474,x13475,x13472,x13476))
% 190.77/190.69 [1348]~E(x13481,x13482)+E(f721(x13483,x13484,x13485,x13486,x13481),f721(x13483,x13484,x13485,x13486,x13482))
% 190.77/190.69 [1349]~E(x13491,x13492)+E(f656(x13491,x13493,x13494,x13495,x13496),f656(x13492,x13493,x13494,x13495,x13496))
% 190.77/190.69 [1350]~E(x13501,x13502)+E(f656(x13503,x13501,x13504,x13505,x13506),f656(x13503,x13502,x13504,x13505,x13506))
% 190.77/190.69 [1351]~E(x13511,x13512)+E(f656(x13513,x13514,x13511,x13515,x13516),f656(x13513,x13514,x13512,x13515,x13516))
% 190.77/190.69 [1352]~E(x13521,x13522)+E(f656(x13523,x13524,x13525,x13521,x13526),f656(x13523,x13524,x13525,x13522,x13526))
% 190.77/190.69 [1353]~E(x13531,x13532)+E(f656(x13533,x13534,x13535,x13536,x13531),f656(x13533,x13534,x13535,x13536,x13532))
% 190.77/190.69 [1354]~E(x13541,x13542)+E(f502(x13541,x13543,x13544),f502(x13542,x13543,x13544))
% 190.77/190.69 [1355]~E(x13551,x13552)+E(f502(x13553,x13551,x13554),f502(x13553,x13552,x13554))
% 190.77/190.69 [1356]~E(x13561,x13562)+E(f502(x13563,x13564,x13561),f502(x13563,x13564,x13562))
% 190.77/190.69 [1357]~E(x13571,x13572)+E(f368(x13571,x13573,x13574,x13575),f368(x13572,x13573,x13574,x13575))
% 190.77/190.69 [1358]~E(x13581,x13582)+E(f368(x13583,x13581,x13584,x13585),f368(x13583,x13582,x13584,x13585))
% 190.77/190.69 [1359]~E(x13591,x13592)+E(f368(x13593,x13594,x13591,x13595),f368(x13593,x13594,x13592,x13595))
% 190.77/190.69 [1360]~E(x13601,x13602)+E(f368(x13603,x13604,x13605,x13601),f368(x13603,x13604,x13605,x13602))
% 190.77/190.69 [1361]~E(x13611,x13612)+E(f660(x13611,x13613,x13614,x13615,x13616),f660(x13612,x13613,x13614,x13615,x13616))
% 190.77/190.69 [1362]~E(x13621,x13622)+E(f660(x13623,x13621,x13624,x13625,x13626),f660(x13623,x13622,x13624,x13625,x13626))
% 190.77/190.69 [1363]~E(x13631,x13632)+E(f660(x13633,x13634,x13631,x13635,x13636),f660(x13633,x13634,x13632,x13635,x13636))
% 190.77/190.69 [1364]~E(x13641,x13642)+E(f660(x13643,x13644,x13645,x13641,x13646),f660(x13643,x13644,x13645,x13642,x13646))
% 190.77/190.69 [1365]~E(x13651,x13652)+E(f660(x13653,x13654,x13655,x13656,x13651),f660(x13653,x13654,x13655,x13656,x13652))
% 190.77/190.69 [1366]~E(x13661,x13662)+E(f787(x13661,x13663,x13664),f787(x13662,x13663,x13664))
% 190.77/190.69 [1367]~E(x13671,x13672)+E(f787(x13673,x13671,x13674),f787(x13673,x13672,x13674))
% 190.77/190.69 [1368]~E(x13681,x13682)+E(f787(x13683,x13684,x13681),f787(x13683,x13684,x13682))
% 190.77/190.69 [1369]~E(x13691,x13692)+E(f564(x13691,x13693,x13694,x13695,x13696),f564(x13692,x13693,x13694,x13695,x13696))
% 190.77/190.69 [1370]~E(x13701,x13702)+E(f564(x13703,x13701,x13704,x13705,x13706),f564(x13703,x13702,x13704,x13705,x13706))
% 190.77/190.69 [1371]~E(x13711,x13712)+E(f564(x13713,x13714,x13711,x13715,x13716),f564(x13713,x13714,x13712,x13715,x13716))
% 190.77/190.69 [1372]~E(x13721,x13722)+E(f564(x13723,x13724,x13725,x13721,x13726),f564(x13723,x13724,x13725,x13722,x13726))
% 190.77/190.69 [1373]~E(x13731,x13732)+E(f564(x13733,x13734,x13735,x13736,x13731),f564(x13733,x13734,x13735,x13736,x13732))
% 190.77/190.69 [1374]~E(x13741,x13742)+E(f610(x13741,x13743),f610(x13742,x13743))
% 190.77/190.69 [1375]~E(x13751,x13752)+E(f610(x13753,x13751),f610(x13753,x13752))
% 190.77/190.69 [1376]~E(x13761,x13762)+E(f837(x13761),f837(x13762))
% 190.77/190.69 [1377]~E(x13771,x13772)+E(f795(x13771),f795(x13772))
% 190.77/190.69 [1378]~E(x13781,x13782)+E(f302(x13781,x13783),f302(x13782,x13783))
% 190.77/190.69 [1379]~E(x13791,x13792)+E(f302(x13793,x13791),f302(x13793,x13792))
% 190.77/190.69 [1380]~E(x13801,x13802)+E(f883(x13801,x13803,x13804),f883(x13802,x13803,x13804))
% 190.77/190.69 [1381]~E(x13811,x13812)+E(f883(x13813,x13811,x13814),f883(x13813,x13812,x13814))
% 190.77/190.69 [1382]~E(x13821,x13822)+E(f883(x13823,x13824,x13821),f883(x13823,x13824,x13822))
% 190.77/190.69 [1383]~E(x13831,x13832)+E(f483(x13831,x13833,x13834),f483(x13832,x13833,x13834))
% 190.77/190.69 [1384]~E(x13841,x13842)+E(f483(x13843,x13841,x13844),f483(x13843,x13842,x13844))
% 190.77/190.69 [1385]~E(x13851,x13852)+E(f483(x13853,x13854,x13851),f483(x13853,x13854,x13852))
% 190.77/190.69 [1386]~E(x13861,x13862)+E(f833(x13861,x13863,x13864),f833(x13862,x13863,x13864))
% 190.77/190.69 [1387]~E(x13871,x13872)+E(f833(x13873,x13871,x13874),f833(x13873,x13872,x13874))
% 190.77/190.69 [1388]~E(x13881,x13882)+E(f833(x13883,x13884,x13881),f833(x13883,x13884,x13882))
% 190.77/190.69 [1389]~E(x13891,x13892)+E(f862(x13891,x13893,x13894,x13895),f862(x13892,x13893,x13894,x13895))
% 190.77/190.69 [1390]~E(x13901,x13902)+E(f862(x13903,x13901,x13904,x13905),f862(x13903,x13902,x13904,x13905))
% 190.77/190.69 [1391]~E(x13911,x13912)+E(f862(x13913,x13914,x13911,x13915),f862(x13913,x13914,x13912,x13915))
% 190.77/190.69 [1392]~E(x13921,x13922)+E(f862(x13923,x13924,x13925,x13921),f862(x13923,x13924,x13925,x13922))
% 190.77/190.69 [1393]~E(x13931,x13932)+E(f616(x13931,x13933,x13934,x13935),f616(x13932,x13933,x13934,x13935))
% 190.77/190.69 [1394]~E(x13941,x13942)+E(f616(x13943,x13941,x13944,x13945),f616(x13943,x13942,x13944,x13945))
% 190.77/190.69 [1395]~E(x13951,x13952)+E(f616(x13953,x13954,x13951,x13955),f616(x13953,x13954,x13952,x13955))
% 190.77/190.69 [1396]~E(x13961,x13962)+E(f616(x13963,x13964,x13965,x13961),f616(x13963,x13964,x13965,x13962))
% 190.77/190.69 [1397]~E(x13971,x13972)+E(f653(x13971,x13973,x13974,x13975),f653(x13972,x13973,x13974,x13975))
% 190.77/190.69 [1398]~E(x13981,x13982)+E(f653(x13983,x13981,x13984,x13985),f653(x13983,x13982,x13984,x13985))
% 190.77/190.69 [1399]~E(x13991,x13992)+E(f653(x13993,x13994,x13991,x13995),f653(x13993,x13994,x13992,x13995))
% 190.77/190.69 [1400]~E(x14001,x14002)+E(f653(x14003,x14004,x14005,x14001),f653(x14003,x14004,x14005,x14002))
% 190.77/190.69 [1401]~E(x14011,x14012)+E(f668(x14011,x14013,x14014),f668(x14012,x14013,x14014))
% 190.77/190.69 [1402]~E(x14021,x14022)+E(f668(x14023,x14021,x14024),f668(x14023,x14022,x14024))
% 190.77/190.69 [1403]~E(x14031,x14032)+E(f668(x14033,x14034,x14031),f668(x14033,x14034,x14032))
% 190.77/190.69 [1404]~E(x14041,x14042)+E(f338(x14041,x14043,x14044),f338(x14042,x14043,x14044))
% 190.77/190.69 [1405]~E(x14051,x14052)+E(f338(x14053,x14051,x14054),f338(x14053,x14052,x14054))
% 190.77/190.69 [1406]~E(x14061,x14062)+E(f338(x14063,x14064,x14061),f338(x14063,x14064,x14062))
% 190.77/190.69 [1407]~E(x14071,x14072)+E(f460(x14071,x14073,x14074),f460(x14072,x14073,x14074))
% 190.77/190.69 [1408]~E(x14081,x14082)+E(f460(x14083,x14081,x14084),f460(x14083,x14082,x14084))
% 190.77/190.69 [1409]~E(x14091,x14092)+E(f460(x14093,x14094,x14091),f460(x14093,x14094,x14092))
% 190.77/190.69 [1410]~E(x14101,x14102)+E(f876(x14101,x14103,x14104),f876(x14102,x14103,x14104))
% 190.77/190.69 [1411]~E(x14111,x14112)+E(f876(x14113,x14111,x14114),f876(x14113,x14112,x14114))
% 190.77/190.69 [1412]~E(x14121,x14122)+E(f876(x14123,x14124,x14121),f876(x14123,x14124,x14122))
% 190.77/190.69 [1413]~E(x14131,x14132)+E(f396(x14131,x14133,x14134),f396(x14132,x14133,x14134))
% 190.77/190.69 [1414]~E(x14141,x14142)+E(f396(x14143,x14141,x14144),f396(x14143,x14142,x14144))
% 190.77/190.69 [1415]~E(x14151,x14152)+E(f396(x14153,x14154,x14151),f396(x14153,x14154,x14152))
% 190.77/190.69 [1416]~E(x14161,x14162)+E(f796(x14161,x14163),f796(x14162,x14163))
% 190.77/190.69 [1417]~E(x14171,x14172)+E(f796(x14173,x14171),f796(x14173,x14172))
% 190.77/190.69 [1418]~E(x14181,x14182)+E(f404(x14181,x14183,x14184,x14185,x14186),f404(x14182,x14183,x14184,x14185,x14186))
% 190.77/190.69 [1419]~E(x14191,x14192)+E(f404(x14193,x14191,x14194,x14195,x14196),f404(x14193,x14192,x14194,x14195,x14196))
% 190.77/190.69 [1420]~E(x14201,x14202)+E(f404(x14203,x14204,x14201,x14205,x14206),f404(x14203,x14204,x14202,x14205,x14206))
% 190.77/190.69 [1421]~E(x14211,x14212)+E(f404(x14213,x14214,x14215,x14211,x14216),f404(x14213,x14214,x14215,x14212,x14216))
% 190.77/190.69 [1422]~E(x14221,x14222)+E(f404(x14223,x14224,x14225,x14226,x14221),f404(x14223,x14224,x14225,x14226,x14222))
% 190.77/190.69 [1423]~E(x14231,x14232)+E(f646(x14231,x14233,x14234,x14235),f646(x14232,x14233,x14234,x14235))
% 190.77/190.69 [1424]~E(x14241,x14242)+E(f646(x14243,x14241,x14244,x14245),f646(x14243,x14242,x14244,x14245))
% 190.77/190.69 [1425]~E(x14251,x14252)+E(f646(x14253,x14254,x14251,x14255),f646(x14253,x14254,x14252,x14255))
% 190.77/190.69 [1426]~E(x14261,x14262)+E(f646(x14263,x14264,x14265,x14261),f646(x14263,x14264,x14265,x14262))
% 190.77/190.69 [1427]~E(x14271,x14272)+E(f68(x14271,x14273),f68(x14272,x14273))
% 190.77/190.69 [1428]~E(x14281,x14282)+E(f68(x14283,x14281),f68(x14283,x14282))
% 190.77/190.69 [1429]~E(x14291,x14292)+E(f821(x14291,x14293,x14294,x14295),f821(x14292,x14293,x14294,x14295))
% 190.77/190.69 [1430]~E(x14301,x14302)+E(f821(x14303,x14301,x14304,x14305),f821(x14303,x14302,x14304,x14305))
% 190.77/190.69 [1431]~E(x14311,x14312)+E(f821(x14313,x14314,x14311,x14315),f821(x14313,x14314,x14312,x14315))
% 190.77/190.69 [1432]~E(x14321,x14322)+E(f821(x14323,x14324,x14325,x14321),f821(x14323,x14324,x14325,x14322))
% 190.77/190.69 [1433]~E(x14331,x14332)+E(f465(x14331,x14333,x14334),f465(x14332,x14333,x14334))
% 190.77/190.69 [1434]~E(x14341,x14342)+E(f465(x14343,x14341,x14344),f465(x14343,x14342,x14344))
% 190.77/190.69 [1435]~E(x14351,x14352)+E(f465(x14353,x14354,x14351),f465(x14353,x14354,x14352))
% 190.77/190.69 [1436]~E(x14361,x14362)+E(f185(x14361,x14363,x14364,x14365),f185(x14362,x14363,x14364,x14365))
% 190.77/190.69 [1437]~E(x14371,x14372)+E(f185(x14373,x14371,x14374,x14375),f185(x14373,x14372,x14374,x14375))
% 190.77/190.69 [1438]~E(x14381,x14382)+E(f185(x14383,x14384,x14381,x14385),f185(x14383,x14384,x14382,x14385))
% 190.77/190.69 [1439]~E(x14391,x14392)+E(f185(x14393,x14394,x14395,x14391),f185(x14393,x14394,x14395,x14392))
% 190.77/190.69 [1440]~E(x14401,x14402)+E(f684(x14401,x14403),f684(x14402,x14403))
% 190.77/190.69 [1441]~E(x14411,x14412)+E(f684(x14413,x14411),f684(x14413,x14412))
% 190.77/190.69 [1442]~E(x14421,x14422)+E(f401(x14421,x14423,x14424),f401(x14422,x14423,x14424))
% 190.77/190.69 [1443]~E(x14431,x14432)+E(f401(x14433,x14431,x14434),f401(x14433,x14432,x14434))
% 190.77/190.69 [1444]~E(x14441,x14442)+E(f401(x14443,x14444,x14441),f401(x14443,x14444,x14442))
% 190.77/190.69 [1445]~E(x14451,x14452)+E(f458(x14451,x14453,x14454,x14455,x14456),f458(x14452,x14453,x14454,x14455,x14456))
% 190.77/190.69 [1446]~E(x14461,x14462)+E(f458(x14463,x14461,x14464,x14465,x14466),f458(x14463,x14462,x14464,x14465,x14466))
% 190.77/190.69 [1447]~E(x14471,x14472)+E(f458(x14473,x14474,x14471,x14475,x14476),f458(x14473,x14474,x14472,x14475,x14476))
% 190.77/190.69 [1448]~E(x14481,x14482)+E(f458(x14483,x14484,x14485,x14481,x14486),f458(x14483,x14484,x14485,x14482,x14486))
% 190.77/190.69 [1449]~E(x14491,x14492)+E(f458(x14493,x14494,x14495,x14496,x14491),f458(x14493,x14494,x14495,x14496,x14492))
% 190.77/190.69 [1450]~E(x14501,x14502)+E(f727(x14501,x14503),f727(x14502,x14503))
% 190.77/190.69 [1451]~E(x14511,x14512)+E(f727(x14513,x14511),f727(x14513,x14512))
% 190.77/190.69 [1452]~E(x14521,x14522)+E(f345(x14521,x14523),f345(x14522,x14523))
% 190.77/190.69 [1453]~E(x14531,x14532)+E(f345(x14533,x14531),f345(x14533,x14532))
% 190.77/190.69 [1454]~E(x14541,x14542)+E(f529(x14541,x14543,x14544,x14545,x14546,x14547),f529(x14542,x14543,x14544,x14545,x14546,x14547))
% 190.77/190.69 [1455]~E(x14551,x14552)+E(f529(x14553,x14551,x14554,x14555,x14556,x14557),f529(x14553,x14552,x14554,x14555,x14556,x14557))
% 190.77/190.69 [1456]~E(x14561,x14562)+E(f529(x14563,x14564,x14561,x14565,x14566,x14567),f529(x14563,x14564,x14562,x14565,x14566,x14567))
% 190.77/190.69 [1457]~E(x14571,x14572)+E(f529(x14573,x14574,x14575,x14571,x14576,x14577),f529(x14573,x14574,x14575,x14572,x14576,x14577))
% 190.77/190.69 [1458]~E(x14581,x14582)+E(f529(x14583,x14584,x14585,x14586,x14581,x14587),f529(x14583,x14584,x14585,x14586,x14582,x14587))
% 190.77/190.69 [1459]~E(x14591,x14592)+E(f529(x14593,x14594,x14595,x14596,x14597,x14591),f529(x14593,x14594,x14595,x14596,x14597,x14592))
% 190.77/190.69 [1460]~E(x14601,x14602)+E(f336(x14601,x14603,x14604),f336(x14602,x14603,x14604))
% 190.77/190.69 [1461]~E(x14611,x14612)+E(f336(x14613,x14611,x14614),f336(x14613,x14612,x14614))
% 190.77/190.69 [1462]~E(x14621,x14622)+E(f336(x14623,x14624,x14621),f336(x14623,x14624,x14622))
% 190.77/190.69 [1463]~E(x14631,x14632)+E(f885(x14631,x14633,x14634),f885(x14632,x14633,x14634))
% 190.77/190.69 [1464]~E(x14641,x14642)+E(f885(x14643,x14641,x14644),f885(x14643,x14642,x14644))
% 190.77/190.69 [1465]~E(x14651,x14652)+E(f885(x14653,x14654,x14651),f885(x14653,x14654,x14652))
% 190.77/190.69 [1466]~E(x14661,x14662)+E(f555(x14661,x14663,x14664,x14665),f555(x14662,x14663,x14664,x14665))
% 190.77/190.69 [1467]~E(x14671,x14672)+E(f555(x14673,x14671,x14674,x14675),f555(x14673,x14672,x14674,x14675))
% 190.77/190.69 [1468]~E(x14681,x14682)+E(f555(x14683,x14684,x14681,x14685),f555(x14683,x14684,x14682,x14685))
% 190.77/190.69 [1469]~E(x14691,x14692)+E(f555(x14693,x14694,x14695,x14691),f555(x14693,x14694,x14695,x14692))
% 190.77/190.69 [1470]~E(x14701,x14702)+E(f632(x14701,x14703,x14704),f632(x14702,x14703,x14704))
% 190.77/190.69 [1471]~E(x14711,x14712)+E(f632(x14713,x14711,x14714),f632(x14713,x14712,x14714))
% 190.77/190.69 [1472]~E(x14721,x14722)+E(f632(x14723,x14724,x14721),f632(x14723,x14724,x14722))
% 190.77/190.69 [1473]~E(x14731,x14732)+E(f545(x14731,x14733,x14734,x14735,x14736,x14737,x14738),f545(x14732,x14733,x14734,x14735,x14736,x14737,x14738))
% 190.77/190.69 [1474]~E(x14741,x14742)+E(f545(x14743,x14741,x14744,x14745,x14746,x14747,x14748),f545(x14743,x14742,x14744,x14745,x14746,x14747,x14748))
% 190.77/190.69 [1475]~E(x14751,x14752)+E(f545(x14753,x14754,x14751,x14755,x14756,x14757,x14758),f545(x14753,x14754,x14752,x14755,x14756,x14757,x14758))
% 190.77/190.69 [1476]~E(x14761,x14762)+E(f545(x14763,x14764,x14765,x14761,x14766,x14767,x14768),f545(x14763,x14764,x14765,x14762,x14766,x14767,x14768))
% 190.77/190.69 [1477]~E(x14771,x14772)+E(f545(x14773,x14774,x14775,x14776,x14771,x14777,x14778),f545(x14773,x14774,x14775,x14776,x14772,x14777,x14778))
% 190.77/190.69 [1478]~E(x14781,x14782)+E(f545(x14783,x14784,x14785,x14786,x14787,x14781,x14788),f545(x14783,x14784,x14785,x14786,x14787,x14782,x14788))
% 190.77/190.69 [1479]~E(x14791,x14792)+E(f545(x14793,x14794,x14795,x14796,x14797,x14798,x14791),f545(x14793,x14794,x14795,x14796,x14797,x14798,x14792))
% 190.77/190.69 [1480]~E(x14801,x14802)+E(f860(x14801,x14803,x14804),f860(x14802,x14803,x14804))
% 190.77/190.69 [1481]~E(x14811,x14812)+E(f860(x14813,x14811,x14814),f860(x14813,x14812,x14814))
% 190.77/190.69 [1482]~E(x14821,x14822)+E(f860(x14823,x14824,x14821),f860(x14823,x14824,x14822))
% 190.77/190.69 [1483]~E(x14831,x14832)+E(f107(x14831,x14833,x14834),f107(x14832,x14833,x14834))
% 190.77/190.69 [1484]~E(x14841,x14842)+E(f107(x14843,x14841,x14844),f107(x14843,x14842,x14844))
% 190.77/190.69 [1485]~E(x14851,x14852)+E(f107(x14853,x14854,x14851),f107(x14853,x14854,x14852))
% 190.77/190.69 [1486]~E(x14861,x14862)+E(f691(x14861,x14863,x14864),f691(x14862,x14863,x14864))
% 190.77/190.69 [1487]~E(x14871,x14872)+E(f691(x14873,x14871,x14874),f691(x14873,x14872,x14874))
% 190.77/190.69 [1488]~E(x14881,x14882)+E(f691(x14883,x14884,x14881),f691(x14883,x14884,x14882))
% 190.77/190.69 [1489]~E(x14891,x14892)+E(f669(x14891,x14893,x14894),f669(x14892,x14893,x14894))
% 190.77/190.69 [1490]~E(x14901,x14902)+E(f669(x14903,x14901,x14904),f669(x14903,x14902,x14904))
% 190.77/190.69 [1491]~E(x14911,x14912)+E(f669(x14913,x14914,x14911),f669(x14913,x14914,x14912))
% 190.77/190.69 [1492]~E(x14921,x14922)+E(f388(x14921,x14923,x14924),f388(x14922,x14923,x14924))
% 190.77/190.69 [1493]~E(x14931,x14932)+E(f388(x14933,x14931,x14934),f388(x14933,x14932,x14934))
% 190.77/190.69 [1494]~E(x14941,x14942)+E(f388(x14943,x14944,x14941),f388(x14943,x14944,x14942))
% 190.77/190.69 [1495]~E(x14951,x14952)+E(f402(x14951,x14953),f402(x14952,x14953))
% 190.77/190.69 [1496]~E(x14961,x14962)+E(f402(x14963,x14961),f402(x14963,x14962))
% 190.77/190.69 [1497]~E(x14971,x14972)+E(f635(x14971,x14973,x14974),f635(x14972,x14973,x14974))
% 190.77/190.69 [1498]~E(x14981,x14982)+E(f635(x14983,x14981,x14984),f635(x14983,x14982,x14984))
% 190.77/190.69 [1499]~E(x14991,x14992)+E(f635(x14993,x14994,x14991),f635(x14993,x14994,x14992))
% 190.77/190.69 [1500]~E(x15001,x15002)+E(f125(x15001),f125(x15002))
% 190.77/190.69 [1501]~E(x15011,x15012)+E(f628(x15011,x15013,x15014,x15015,x15016),f628(x15012,x15013,x15014,x15015,x15016))
% 190.77/190.69 [1502]~E(x15021,x15022)+E(f628(x15023,x15021,x15024,x15025,x15026),f628(x15023,x15022,x15024,x15025,x15026))
% 190.77/190.69 [1503]~E(x15031,x15032)+E(f628(x15033,x15034,x15031,x15035,x15036),f628(x15033,x15034,x15032,x15035,x15036))
% 190.77/190.69 [1504]~E(x15041,x15042)+E(f628(x15043,x15044,x15045,x15041,x15046),f628(x15043,x15044,x15045,x15042,x15046))
% 190.77/190.69 [1505]~E(x15051,x15052)+E(f628(x15053,x15054,x15055,x15056,x15051),f628(x15053,x15054,x15055,x15056,x15052))
% 190.77/190.69 [1506]~E(x15061,x15062)+E(f664(x15061,x15063,x15064,x15065),f664(x15062,x15063,x15064,x15065))
% 190.77/190.69 [1507]~E(x15071,x15072)+E(f664(x15073,x15071,x15074,x15075),f664(x15073,x15072,x15074,x15075))
% 190.77/190.69 [1508]~E(x15081,x15082)+E(f664(x15083,x15084,x15081,x15085),f664(x15083,x15084,x15082,x15085))
% 190.77/190.69 [1509]~E(x15091,x15092)+E(f664(x15093,x15094,x15095,x15091),f664(x15093,x15094,x15095,x15092))
% 190.77/190.69 [1510]~E(x15101,x15102)+E(f755(x15101,x15103),f755(x15102,x15103))
% 190.77/190.69 [1511]~E(x15111,x15112)+E(f755(x15113,x15111),f755(x15113,x15112))
% 190.77/190.69 [1512]~E(x15121,x15122)+E(f881(x15121,x15123,x15124,x15125),f881(x15122,x15123,x15124,x15125))
% 190.77/190.69 [1513]~E(x15131,x15132)+E(f881(x15133,x15131,x15134,x15135),f881(x15133,x15132,x15134,x15135))
% 190.77/190.69 [1514]~E(x15141,x15142)+E(f881(x15143,x15144,x15141,x15145),f881(x15143,x15144,x15142,x15145))
% 190.77/190.69 [1515]~E(x15151,x15152)+E(f881(x15153,x15154,x15155,x15151),f881(x15153,x15154,x15155,x15152))
% 190.77/190.69 [1516]~E(x15161,x15162)+E(f685(x15161,x15163),f685(x15162,x15163))
% 190.77/190.69 [1517]~E(x15171,x15172)+E(f685(x15173,x15171),f685(x15173,x15172))
% 190.77/190.69 [1518]~E(x15181,x15182)+E(f839(x15181,x15183),f839(x15182,x15183))
% 190.77/190.69 [1519]~E(x15191,x15192)+E(f839(x15193,x15191),f839(x15193,x15192))
% 190.77/190.69 [1520]~E(x15201,x15202)+E(f814(x15201,x15203,x15204,x15205,x15206,x15207,x15208,x15209),f814(x15202,x15203,x15204,x15205,x15206,x15207,x15208,x15209))
% 190.77/190.69 [1521]~E(x15211,x15212)+E(f814(x15213,x15211,x15214,x15215,x15216,x15217,x15218,x15219),f814(x15213,x15212,x15214,x15215,x15216,x15217,x15218,x15219))
% 190.77/190.69 [1522]~E(x15221,x15222)+E(f814(x15223,x15224,x15221,x15225,x15226,x15227,x15228,x15229),f814(x15223,x15224,x15222,x15225,x15226,x15227,x15228,x15229))
% 190.77/190.69 [1523]~E(x15231,x15232)+E(f814(x15233,x15234,x15235,x15231,x15236,x15237,x15238,x15239),f814(x15233,x15234,x15235,x15232,x15236,x15237,x15238,x15239))
% 190.77/190.69 [1524]~E(x15241,x15242)+E(f814(x15243,x15244,x15245,x15246,x15241,x15247,x15248,x15249),f814(x15243,x15244,x15245,x15246,x15242,x15247,x15248,x15249))
% 190.77/190.69 [1525]~E(x15251,x15252)+E(f814(x15253,x15254,x15255,x15256,x15257,x15251,x15258,x15259),f814(x15253,x15254,x15255,x15256,x15257,x15252,x15258,x15259))
% 190.77/190.69 [1526]~E(x15261,x15262)+E(f814(x15263,x15264,x15265,x15266,x15267,x15268,x15261,x15269),f814(x15263,x15264,x15265,x15266,x15267,x15268,x15262,x15269))
% 190.77/190.69 [1527]~E(x15271,x15272)+E(f814(x15273,x15274,x15275,x15276,x15277,x15278,x15279,x15271),f814(x15273,x15274,x15275,x15276,x15277,x15278,x15279,x15272))
% 190.77/190.69 [1528]~E(x15281,x15282)+E(f710(x15281,x15283),f710(x15282,x15283))
% 190.77/190.69 [1529]~E(x15291,x15292)+E(f710(x15293,x15291),f710(x15293,x15292))
% 190.77/190.69 [1530]~E(x15301,x15302)+E(f580(x15301,x15303,x15304),f580(x15302,x15303,x15304))
% 190.77/190.69 [1531]~E(x15311,x15312)+E(f580(x15313,x15311,x15314),f580(x15313,x15312,x15314))
% 190.77/190.69 [1532]~E(x15321,x15322)+E(f580(x15323,x15324,x15321),f580(x15323,x15324,x15322))
% 190.77/190.69 [1533]~E(x15331,x15332)+E(f428(x15331,x15333,x15334,x15335,x15336),f428(x15332,x15333,x15334,x15335,x15336))
% 190.77/190.69 [1534]~E(x15341,x15342)+E(f428(x15343,x15341,x15344,x15345,x15346),f428(x15343,x15342,x15344,x15345,x15346))
% 190.77/190.69 [1535]~E(x15351,x15352)+E(f428(x15353,x15354,x15351,x15355,x15356),f428(x15353,x15354,x15352,x15355,x15356))
% 190.77/190.69 [1536]~E(x15361,x15362)+E(f428(x15363,x15364,x15365,x15361,x15366),f428(x15363,x15364,x15365,x15362,x15366))
% 190.77/190.69 [1537]~E(x15371,x15372)+E(f428(x15373,x15374,x15375,x15376,x15371),f428(x15373,x15374,x15375,x15376,x15372))
% 190.77/190.69 [1538]~E(x15381,x15382)+E(f289(x15381,x15383,x15384,x15385),f289(x15382,x15383,x15384,x15385))
% 190.77/190.69 [1539]~E(x15391,x15392)+E(f289(x15393,x15391,x15394,x15395),f289(x15393,x15392,x15394,x15395))
% 190.77/190.69 [1540]~E(x15401,x15402)+E(f289(x15403,x15404,x15401,x15405),f289(x15403,x15404,x15402,x15405))
% 190.77/190.69 [1541]~E(x15411,x15412)+E(f289(x15413,x15414,x15415,x15411),f289(x15413,x15414,x15415,x15412))
% 190.77/190.69 [1542]~E(x15421,x15422)+E(f156(x15421,x15423,x15424),f156(x15422,x15423,x15424))
% 190.77/190.69 [1543]~E(x15431,x15432)+E(f156(x15433,x15431,x15434),f156(x15433,x15432,x15434))
% 190.77/190.69 [1544]~E(x15441,x15442)+E(f156(x15443,x15444,x15441),f156(x15443,x15444,x15442))
% 190.77/190.69 [1545]~E(x15451,x15452)+E(f432(x15451),f432(x15452))
% 190.77/190.69 [1546]~E(x15461,x15462)+E(f400(x15461,x15463,x15464,x15465,x15466),f400(x15462,x15463,x15464,x15465,x15466))
% 190.77/190.69 [1547]~E(x15471,x15472)+E(f400(x15473,x15471,x15474,x15475,x15476),f400(x15473,x15472,x15474,x15475,x15476))
% 190.77/190.69 [1548]~E(x15481,x15482)+E(f400(x15483,x15484,x15481,x15485,x15486),f400(x15483,x15484,x15482,x15485,x15486))
% 190.77/190.69 [1549]~E(x15491,x15492)+E(f400(x15493,x15494,x15495,x15491,x15496),f400(x15493,x15494,x15495,x15492,x15496))
% 190.77/190.69 [1550]~E(x15501,x15502)+E(f400(x15503,x15504,x15505,x15506,x15501),f400(x15503,x15504,x15505,x15506,x15502))
% 190.77/190.69 [1551]~E(x15511,x15512)+E(f37(x15511),f37(x15512))
% 190.77/190.69 [1552]~E(x15521,x15522)+E(f730(x15521,x15523,x15524),f730(x15522,x15523,x15524))
% 190.77/190.69 [1553]~E(x15531,x15532)+E(f730(x15533,x15531,x15534),f730(x15533,x15532,x15534))
% 190.77/190.69 [1554]~E(x15541,x15542)+E(f730(x15543,x15544,x15541),f730(x15543,x15544,x15542))
% 190.77/190.69 [1555]~E(x15551,x15552)+E(f882(x15551,x15553,x15554),f882(x15552,x15553,x15554))
% 190.77/190.69 [1556]~E(x15561,x15562)+E(f882(x15563,x15561,x15564),f882(x15563,x15562,x15564))
% 190.77/190.69 [1557]~E(x15571,x15572)+E(f882(x15573,x15574,x15571),f882(x15573,x15574,x15572))
% 190.77/190.69 [1558]~E(x15581,x15582)+E(f355(x15581,x15583,x15584),f355(x15582,x15583,x15584))
% 190.77/190.69 [1559]~E(x15591,x15592)+E(f355(x15593,x15591,x15594),f355(x15593,x15592,x15594))
% 190.77/190.69 [1560]~E(x15601,x15602)+E(f355(x15603,x15604,x15601),f355(x15603,x15604,x15602))
% 190.77/190.69 [1561]~E(x15611,x15612)+E(f807(x15611,x15613,x15614,x15615),f807(x15612,x15613,x15614,x15615))
% 190.77/190.69 [1562]~E(x15621,x15622)+E(f807(x15623,x15621,x15624,x15625),f807(x15623,x15622,x15624,x15625))
% 190.77/190.69 [1563]~E(x15631,x15632)+E(f807(x15633,x15634,x15631,x15635),f807(x15633,x15634,x15632,x15635))
% 190.77/190.69 [1564]~E(x15641,x15642)+E(f807(x15643,x15644,x15645,x15641),f807(x15643,x15644,x15645,x15642))
% 190.77/190.69 [1565]~E(x15651,x15652)+E(f811(x15651,x15653,x15654),f811(x15652,x15653,x15654))
% 190.77/190.69 [1566]~E(x15661,x15662)+E(f811(x15663,x15661,x15664),f811(x15663,x15662,x15664))
% 190.77/190.69 [1567]~E(x15671,x15672)+E(f811(x15673,x15674,x15671),f811(x15673,x15674,x15672))
% 190.77/190.69 [1568]~E(x15681,x15682)+E(f644(x15681,x15683,x15684,x15685),f644(x15682,x15683,x15684,x15685))
% 190.77/190.69 [1569]~E(x15691,x15692)+E(f644(x15693,x15691,x15694,x15695),f644(x15693,x15692,x15694,x15695))
% 190.77/190.69 [1570]~E(x15701,x15702)+E(f644(x15703,x15704,x15701,x15705),f644(x15703,x15704,x15702,x15705))
% 190.77/190.69 [1571]~E(x15711,x15712)+E(f644(x15713,x15714,x15715,x15711),f644(x15713,x15714,x15715,x15712))
% 190.77/190.69 [1572]~E(x15721,x15722)+E(f623(x15721,x15723,x15724,x15725),f623(x15722,x15723,x15724,x15725))
% 190.77/190.69 [1573]~E(x15731,x15732)+E(f623(x15733,x15731,x15734,x15735),f623(x15733,x15732,x15734,x15735))
% 190.77/190.69 [1574]~E(x15741,x15742)+E(f623(x15743,x15744,x15741,x15745),f623(x15743,x15744,x15742,x15745))
% 190.77/190.69 [1575]~E(x15751,x15752)+E(f623(x15753,x15754,x15755,x15751),f623(x15753,x15754,x15755,x15752))
% 190.77/190.69 [1576]~E(x15761,x15762)+E(f782(x15761,x15763),f782(x15762,x15763))
% 190.77/190.69 [1577]~E(x15771,x15772)+E(f782(x15773,x15771),f782(x15773,x15772))
% 190.77/190.69 [1578]~E(x15781,x15782)+E(f909(x15781),f909(x15782))
% 190.77/190.69 [1579]~E(x15791,x15792)+E(f237(x15791,x15793,x15794),f237(x15792,x15793,x15794))
% 190.77/190.69 [1580]~E(x15801,x15802)+E(f237(x15803,x15801,x15804),f237(x15803,x15802,x15804))
% 190.77/190.69 [1581]~E(x15811,x15812)+E(f237(x15813,x15814,x15811),f237(x15813,x15814,x15812))
% 190.77/190.69 [1582]~E(x15821,x15822)+E(f657(x15821,x15823,x15824,x15825,x15826),f657(x15822,x15823,x15824,x15825,x15826))
% 190.77/190.69 [1583]~E(x15831,x15832)+E(f657(x15833,x15831,x15834,x15835,x15836),f657(x15833,x15832,x15834,x15835,x15836))
% 190.77/190.69 [1584]~E(x15841,x15842)+E(f657(x15843,x15844,x15841,x15845,x15846),f657(x15843,x15844,x15842,x15845,x15846))
% 190.77/190.69 [1585]~E(x15851,x15852)+E(f657(x15853,x15854,x15855,x15851,x15856),f657(x15853,x15854,x15855,x15852,x15856))
% 190.77/190.69 [1586]~E(x15861,x15862)+E(f657(x15863,x15864,x15865,x15866,x15861),f657(x15863,x15864,x15865,x15866,x15862))
% 190.77/190.69 [1587]~E(x15871,x15872)+E(f267(x15871,x15873,x15874,x15875),f267(x15872,x15873,x15874,x15875))
% 190.77/190.69 [1588]~E(x15881,x15882)+E(f267(x15883,x15881,x15884,x15885),f267(x15883,x15882,x15884,x15885))
% 190.77/190.69 [1589]~E(x15891,x15892)+E(f267(x15893,x15894,x15891,x15895),f267(x15893,x15894,x15892,x15895))
% 190.77/190.69 [1590]~E(x15901,x15902)+E(f267(x15903,x15904,x15905,x15901),f267(x15903,x15904,x15905,x15902))
% 190.77/190.69 [1591]~E(x15911,x15912)+E(f879(x15911,x15913,x15914),f879(x15912,x15913,x15914))
% 190.77/190.69 [1592]~E(x15921,x15922)+E(f879(x15923,x15921,x15924),f879(x15923,x15922,x15924))
% 190.77/190.69 [1593]~E(x15931,x15932)+E(f879(x15933,x15934,x15931),f879(x15933,x15934,x15932))
% 190.77/190.69 [1594]~E(x15941,x15942)+E(f869(x15941,x15943),f869(x15942,x15943))
% 190.77/190.69 [1595]~E(x15951,x15952)+E(f869(x15953,x15951),f869(x15953,x15952))
% 190.77/190.69 [1596]~E(x15961,x15962)+E(f550(x15961,x15963,x15964,x15965,x15966,x15967,x15968,x15969),f550(x15962,x15963,x15964,x15965,x15966,x15967,x15968,x15969))
% 190.77/190.69 [1597]~E(x15971,x15972)+E(f550(x15973,x15971,x15974,x15975,x15976,x15977,x15978,x15979),f550(x15973,x15972,x15974,x15975,x15976,x15977,x15978,x15979))
% 190.77/190.69 [1598]~E(x15981,x15982)+E(f550(x15983,x15984,x15981,x15985,x15986,x15987,x15988,x15989),f550(x15983,x15984,x15982,x15985,x15986,x15987,x15988,x15989))
% 190.77/190.69 [1599]~E(x15991,x15992)+E(f550(x15993,x15994,x15995,x15991,x15996,x15997,x15998,x15999),f550(x15993,x15994,x15995,x15992,x15996,x15997,x15998,x15999))
% 190.77/190.69 [1600]~E(x16001,x16002)+E(f550(x16003,x16004,x16005,x16006,x16001,x16007,x16008,x16009),f550(x16003,x16004,x16005,x16006,x16002,x16007,x16008,x16009))
% 190.77/190.69 [1601]~E(x16011,x16012)+E(f550(x16013,x16014,x16015,x16016,x16017,x16011,x16018,x16019),f550(x16013,x16014,x16015,x16016,x16017,x16012,x16018,x16019))
% 190.77/190.69 [1602]~E(x16021,x16022)+E(f550(x16023,x16024,x16025,x16026,x16027,x16028,x16021,x16029),f550(x16023,x16024,x16025,x16026,x16027,x16028,x16022,x16029))
% 190.77/190.69 [1603]~E(x16031,x16032)+E(f550(x16033,x16034,x16035,x16036,x16037,x16038,x16039,x16031),f550(x16033,x16034,x16035,x16036,x16037,x16038,x16039,x16032))
% 190.77/190.69 [1604]~E(x16041,x16042)+E(f641(x16041,x16043),f641(x16042,x16043))
% 190.77/190.69 [1605]~E(x16051,x16052)+E(f641(x16053,x16051),f641(x16053,x16052))
% 190.77/190.69 [1606]~E(x16061,x16062)+E(f567(x16061,x16063,x16064,x16065,x16066),f567(x16062,x16063,x16064,x16065,x16066))
% 190.77/190.69 [1607]~E(x16071,x16072)+E(f567(x16073,x16071,x16074,x16075,x16076),f567(x16073,x16072,x16074,x16075,x16076))
% 190.77/190.69 [1608]~E(x16081,x16082)+E(f567(x16083,x16084,x16081,x16085,x16086),f567(x16083,x16084,x16082,x16085,x16086))
% 190.77/190.69 [1609]~E(x16091,x16092)+E(f567(x16093,x16094,x16095,x16091,x16096),f567(x16093,x16094,x16095,x16092,x16096))
% 190.77/190.69 [1610]~E(x16101,x16102)+E(f567(x16103,x16104,x16105,x16106,x16101),f567(x16103,x16104,x16105,x16106,x16102))
% 190.77/190.69 [1611]~E(x16111,x16112)+E(f791(x16111,x16113,x16114,x16115,x16116,x16117),f791(x16112,x16113,x16114,x16115,x16116,x16117))
% 190.77/190.69 [1612]~E(x16121,x16122)+E(f791(x16123,x16121,x16124,x16125,x16126,x16127),f791(x16123,x16122,x16124,x16125,x16126,x16127))
% 190.77/190.69 [1613]~E(x16131,x16132)+E(f791(x16133,x16134,x16131,x16135,x16136,x16137),f791(x16133,x16134,x16132,x16135,x16136,x16137))
% 190.77/190.69 [1614]~E(x16141,x16142)+E(f791(x16143,x16144,x16145,x16141,x16146,x16147),f791(x16143,x16144,x16145,x16142,x16146,x16147))
% 190.77/190.69 [1615]~E(x16151,x16152)+E(f791(x16153,x16154,x16155,x16156,x16151,x16157),f791(x16153,x16154,x16155,x16156,x16152,x16157))
% 190.77/190.69 [1616]~E(x16161,x16162)+E(f791(x16163,x16164,x16165,x16166,x16167,x16161),f791(x16163,x16164,x16165,x16166,x16167,x16162))
% 190.77/190.69 [1617]~E(x16171,x16172)+E(f387(x16171,x16173,x16174,x16175),f387(x16172,x16173,x16174,x16175))
% 190.77/190.69 [1618]~E(x16181,x16182)+E(f387(x16183,x16181,x16184,x16185),f387(x16183,x16182,x16184,x16185))
% 190.77/190.69 [1619]~E(x16191,x16192)+E(f387(x16193,x16194,x16191,x16195),f387(x16193,x16194,x16192,x16195))
% 190.77/190.69 [1620]~E(x16201,x16202)+E(f387(x16203,x16204,x16205,x16201),f387(x16203,x16204,x16205,x16202))
% 190.77/190.69 [1621]~E(x16211,x16212)+E(f769(x16211,x16213),f769(x16212,x16213))
% 190.77/190.69 [1622]~E(x16221,x16222)+E(f769(x16223,x16221),f769(x16223,x16222))
% 190.77/190.69 [1623]~E(x16231,x16232)+E(f793(x16231,x16233),f793(x16232,x16233))
% 190.77/190.69 [1624]~E(x16241,x16242)+E(f793(x16243,x16241),f793(x16243,x16242))
% 190.77/190.69 [1625]~E(x16251,x16252)+E(f519(x16251,x16253,x16254,x16255),f519(x16252,x16253,x16254,x16255))
% 190.77/190.69 [1626]~E(x16261,x16262)+E(f519(x16263,x16261,x16264,x16265),f519(x16263,x16262,x16264,x16265))
% 190.77/190.69 [1627]~E(x16271,x16272)+E(f519(x16273,x16274,x16271,x16275),f519(x16273,x16274,x16272,x16275))
% 190.77/190.69 [1628]~E(x16281,x16282)+E(f519(x16283,x16284,x16285,x16281),f519(x16283,x16284,x16285,x16282))
% 190.77/190.69 [1629]~E(x16291,x16292)+E(f858(x16291,x16293,x16294),f858(x16292,x16293,x16294))
% 190.77/190.69 [1630]~E(x16301,x16302)+E(f858(x16303,x16301,x16304),f858(x16303,x16302,x16304))
% 190.77/190.69 [1631]~E(x16311,x16312)+E(f858(x16313,x16314,x16311),f858(x16313,x16314,x16312))
% 190.77/190.69 [1632]~E(x16321,x16322)+E(f854(x16321,x16323,x16324),f854(x16322,x16323,x16324))
% 190.77/190.69 [1633]~E(x16331,x16332)+E(f854(x16333,x16331,x16334),f854(x16333,x16332,x16334))
% 190.77/190.69 [1634]~E(x16341,x16342)+E(f854(x16343,x16344,x16341),f854(x16343,x16344,x16342))
% 190.77/190.69 [1635]~E(x16351,x16352)+E(f870(x16351,x16353,x16354,x16355),f870(x16352,x16353,x16354,x16355))
% 190.77/190.69 [1636]~E(x16361,x16362)+E(f870(x16363,x16361,x16364,x16365),f870(x16363,x16362,x16364,x16365))
% 190.77/190.69 [1637]~E(x16371,x16372)+E(f870(x16373,x16374,x16371,x16375),f870(x16373,x16374,x16372,x16375))
% 190.77/190.69 [1638]~E(x16381,x16382)+E(f870(x16383,x16384,x16385,x16381),f870(x16383,x16384,x16385,x16382))
% 190.77/190.69 [1639]~E(x16391,x16392)+E(f630(x16391,x16393,x16394,x16395,x16396),f630(x16392,x16393,x16394,x16395,x16396))
% 190.77/190.69 [1640]~E(x16401,x16402)+E(f630(x16403,x16401,x16404,x16405,x16406),f630(x16403,x16402,x16404,x16405,x16406))
% 190.77/190.69 [1641]~E(x16411,x16412)+E(f630(x16413,x16414,x16411,x16415,x16416),f630(x16413,x16414,x16412,x16415,x16416))
% 190.77/190.69 [1642]~E(x16421,x16422)+E(f630(x16423,x16424,x16425,x16421,x16426),f630(x16423,x16424,x16425,x16422,x16426))
% 190.77/190.69 [1643]~E(x16431,x16432)+E(f630(x16433,x16434,x16435,x16436,x16431),f630(x16433,x16434,x16435,x16436,x16432))
% 190.77/190.69 [1644]~E(x16441,x16442)+E(f605(x16441,x16443,x16444,x16445,x16446,x16447),f605(x16442,x16443,x16444,x16445,x16446,x16447))
% 190.77/190.69 [1645]~E(x16451,x16452)+E(f605(x16453,x16451,x16454,x16455,x16456,x16457),f605(x16453,x16452,x16454,x16455,x16456,x16457))
% 190.77/190.69 [1646]~E(x16461,x16462)+E(f605(x16463,x16464,x16461,x16465,x16466,x16467),f605(x16463,x16464,x16462,x16465,x16466,x16467))
% 190.77/190.69 [1647]~E(x16471,x16472)+E(f605(x16473,x16474,x16475,x16471,x16476,x16477),f605(x16473,x16474,x16475,x16472,x16476,x16477))
% 190.77/190.69 [1648]~E(x16481,x16482)+E(f605(x16483,x16484,x16485,x16486,x16481,x16487),f605(x16483,x16484,x16485,x16486,x16482,x16487))
% 190.77/190.69 [1649]~E(x16491,x16492)+E(f605(x16493,x16494,x16495,x16496,x16497,x16491),f605(x16493,x16494,x16495,x16496,x16497,x16492))
% 190.77/190.69 [1650]~E(x16501,x16502)+E(f558(x16501,x16503,x16504),f558(x16502,x16503,x16504))
% 190.77/190.69 [1651]~E(x16511,x16512)+E(f558(x16513,x16511,x16514),f558(x16513,x16512,x16514))
% 190.77/190.69 [1652]~E(x16521,x16522)+E(f558(x16523,x16524,x16521),f558(x16523,x16524,x16522))
% 190.77/190.69 [1653]~E(x16531,x16532)+E(f508(x16531,x16533,x16534),f508(x16532,x16533,x16534))
% 190.77/190.69 [1654]~E(x16541,x16542)+E(f508(x16543,x16541,x16544),f508(x16543,x16542,x16544))
% 190.77/190.69 [1655]~E(x16551,x16552)+E(f508(x16553,x16554,x16551),f508(x16553,x16554,x16552))
% 190.77/190.69 [1656]~E(x16561,x16562)+E(f634(x16561,x16563,x16564),f634(x16562,x16563,x16564))
% 190.77/190.69 [1657]~E(x16571,x16572)+E(f634(x16573,x16571,x16574),f634(x16573,x16572,x16574))
% 190.77/190.69 [1658]~E(x16581,x16582)+E(f634(x16583,x16584,x16581),f634(x16583,x16584,x16582))
% 190.77/190.69 [1659]~E(x16591,x16592)+E(f666(x16591,x16593,x16594),f666(x16592,x16593,x16594))
% 190.77/190.69 [1660]~E(x16601,x16602)+E(f666(x16603,x16601,x16604),f666(x16603,x16602,x16604))
% 190.77/190.69 [1661]~E(x16611,x16612)+E(f666(x16613,x16614,x16611),f666(x16613,x16614,x16612))
% 190.77/190.69 [1662]~E(x16621,x16622)+E(f553(x16621,x16623,x16624),f553(x16622,x16623,x16624))
% 190.77/190.69 [1663]~E(x16631,x16632)+E(f553(x16633,x16631,x16634),f553(x16633,x16632,x16634))
% 190.77/190.69 [1664]~E(x16641,x16642)+E(f553(x16643,x16644,x16641),f553(x16643,x16644,x16642))
% 190.77/190.69 [1665]~E(x16651,x16652)+E(f525(x16651,x16653,x16654,x16655,x16656,x16657),f525(x16652,x16653,x16654,x16655,x16656,x16657))
% 190.77/190.69 [1666]~E(x16661,x16662)+E(f525(x16663,x16661,x16664,x16665,x16666,x16667),f525(x16663,x16662,x16664,x16665,x16666,x16667))
% 190.77/190.69 [1667]~E(x16671,x16672)+E(f525(x16673,x16674,x16671,x16675,x16676,x16677),f525(x16673,x16674,x16672,x16675,x16676,x16677))
% 190.77/190.69 [1668]~E(x16681,x16682)+E(f525(x16683,x16684,x16685,x16681,x16686,x16687),f525(x16683,x16684,x16685,x16682,x16686,x16687))
% 190.77/190.69 [1669]~E(x16691,x16692)+E(f525(x16693,x16694,x16695,x16696,x16691,x16697),f525(x16693,x16694,x16695,x16696,x16692,x16697))
% 190.77/190.69 [1670]~E(x16701,x16702)+E(f525(x16703,x16704,x16705,x16706,x16707,x16701),f525(x16703,x16704,x16705,x16706,x16707,x16702))
% 190.77/190.69 [1671]~E(x16711,x16712)+E(f34(x16711),f34(x16712))
% 190.77/190.69 [1672]~E(x16721,x16722)+E(f863(x16721,x16723),f863(x16722,x16723))
% 190.77/190.69 [1673]~E(x16731,x16732)+E(f863(x16733,x16731),f863(x16733,x16732))
% 190.77/190.69 [1674]~E(x16741,x16742)+E(f758(x16741,x16743,x16744,x16745),f758(x16742,x16743,x16744,x16745))
% 190.77/190.69 [1675]~E(x16751,x16752)+E(f758(x16753,x16751,x16754,x16755),f758(x16753,x16752,x16754,x16755))
% 190.77/190.69 [1676]~E(x16761,x16762)+E(f758(x16763,x16764,x16761,x16765),f758(x16763,x16764,x16762,x16765))
% 190.77/190.69 [1677]~E(x16771,x16772)+E(f758(x16773,x16774,x16775,x16771),f758(x16773,x16774,x16775,x16772))
% 190.77/190.69 [1678]~E(x16781,x16782)+E(f509(x16781,x16783,x16784),f509(x16782,x16783,x16784))
% 190.77/190.69 [1679]~E(x16791,x16792)+E(f509(x16793,x16791,x16794),f509(x16793,x16792,x16794))
% 190.77/190.69 [1680]~E(x16801,x16802)+E(f509(x16803,x16804,x16801),f509(x16803,x16804,x16802))
% 190.77/190.69 [1681]~E(x16811,x16812)+E(f201(x16811,x16813,x16814,x16815,x16816,x16817,x16818),f201(x16812,x16813,x16814,x16815,x16816,x16817,x16818))
% 190.77/190.69 [1682]~E(x16821,x16822)+E(f201(x16823,x16821,x16824,x16825,x16826,x16827,x16828),f201(x16823,x16822,x16824,x16825,x16826,x16827,x16828))
% 190.77/190.69 [1683]~E(x16831,x16832)+E(f201(x16833,x16834,x16831,x16835,x16836,x16837,x16838),f201(x16833,x16834,x16832,x16835,x16836,x16837,x16838))
% 190.77/190.69 [1684]~E(x16841,x16842)+E(f201(x16843,x16844,x16845,x16841,x16846,x16847,x16848),f201(x16843,x16844,x16845,x16842,x16846,x16847,x16848))
% 190.77/190.69 [1685]~E(x16851,x16852)+E(f201(x16853,x16854,x16855,x16856,x16851,x16857,x16858),f201(x16853,x16854,x16855,x16856,x16852,x16857,x16858))
% 190.77/190.69 [1686]~E(x16861,x16862)+E(f201(x16863,x16864,x16865,x16866,x16867,x16861,x16868),f201(x16863,x16864,x16865,x16866,x16867,x16862,x16868))
% 190.77/190.69 [1687]~E(x16871,x16872)+E(f201(x16873,x16874,x16875,x16876,x16877,x16878,x16871),f201(x16873,x16874,x16875,x16876,x16877,x16878,x16872))
% 190.77/190.69 [1688]~E(x16881,x16882)+E(f146(x16881,x16883,x16884,x16885),f146(x16882,x16883,x16884,x16885))
% 190.77/190.69 [1689]~E(x16891,x16892)+E(f146(x16893,x16891,x16894,x16895),f146(x16893,x16892,x16894,x16895))
% 190.77/190.69 [1690]~E(x16901,x16902)+E(f146(x16903,x16904,x16901,x16905),f146(x16903,x16904,x16902,x16905))
% 190.77/190.69 [1691]~E(x16911,x16912)+E(f146(x16913,x16914,x16915,x16911),f146(x16913,x16914,x16915,x16912))
% 190.77/190.69 [1692]~E(x16921,x16922)+E(f599(x16921,x16923,x16924),f599(x16922,x16923,x16924))
% 190.77/190.69 [1693]~E(x16931,x16932)+E(f599(x16933,x16931,x16934),f599(x16933,x16932,x16934))
% 190.77/190.69 [1694]~E(x16941,x16942)+E(f599(x16943,x16944,x16941),f599(x16943,x16944,x16942))
% 190.77/190.69 [1695]~E(x16951,x16952)+E(f744(x16951,x16953,x16954),f744(x16952,x16953,x16954))
% 190.77/190.69 [1696]~E(x16961,x16962)+E(f744(x16963,x16961,x16964),f744(x16963,x16962,x16964))
% 190.77/190.69 [1697]~E(x16971,x16972)+E(f744(x16973,x16974,x16971),f744(x16973,x16974,x16972))
% 190.77/190.69 [1698]~E(x16981,x16982)+E(f578(x16981),f578(x16982))
% 190.77/190.69 [1699]~E(x16991,x16992)+E(f63(x16991,x16993,x16994),f63(x16992,x16993,x16994))
% 190.77/190.69 [1700]~E(x17001,x17002)+E(f63(x17003,x17001,x17004),f63(x17003,x17002,x17004))
% 190.77/190.69 [1701]~E(x17011,x17012)+E(f63(x17013,x17014,x17011),f63(x17013,x17014,x17012))
% 190.77/190.69 [1702]~E(x17021,x17022)+E(f689(x17021,x17023,x17024),f689(x17022,x17023,x17024))
% 190.77/190.69 [1703]~E(x17031,x17032)+E(f689(x17033,x17031,x17034),f689(x17033,x17032,x17034))
% 190.77/190.69 [1704]~E(x17041,x17042)+E(f689(x17043,x17044,x17041),f689(x17043,x17044,x17042))
% 190.77/190.69 [1705]~E(x17051,x17052)+E(f538(x17051,x17053,x17054),f538(x17052,x17053,x17054))
% 190.77/190.69 [1706]~E(x17061,x17062)+E(f538(x17063,x17061,x17064),f538(x17063,x17062,x17064))
% 190.77/190.69 [1707]~E(x17071,x17072)+E(f538(x17073,x17074,x17071),f538(x17073,x17074,x17072))
% 190.77/190.69 [1708]~E(x17081,x17082)+E(f268(x17081),f268(x17082))
% 190.77/190.69 [1709]~E(x17091,x17092)+E(f120(x17091,x17093,x17094,x17095),f120(x17092,x17093,x17094,x17095))
% 190.77/190.69 [1710]~E(x17101,x17102)+E(f120(x17103,x17101,x17104,x17105),f120(x17103,x17102,x17104,x17105))
% 190.77/190.69 [1711]~E(x17111,x17112)+E(f120(x17113,x17114,x17111,x17115),f120(x17113,x17114,x17112,x17115))
% 190.77/190.69 [1712]~E(x17121,x17122)+E(f120(x17123,x17124,x17125,x17121),f120(x17123,x17124,x17125,x17122))
% 190.77/190.69 [1713]~E(x17131,x17132)+E(f679(x17131,x17133),f679(x17132,x17133))
% 190.77/190.69 [1714]~E(x17141,x17142)+E(f679(x17143,x17141),f679(x17143,x17142))
% 190.77/190.69 [1715]~E(x17151,x17152)+E(f373(x17151,x17153,x17154,x17155),f373(x17152,x17153,x17154,x17155))
% 190.77/190.69 [1716]~E(x17161,x17162)+E(f373(x17163,x17161,x17164,x17165),f373(x17163,x17162,x17164,x17165))
% 190.77/190.69 [1717]~E(x17171,x17172)+E(f373(x17173,x17174,x17171,x17175),f373(x17173,x17174,x17172,x17175))
% 190.77/190.69 [1718]~E(x17181,x17182)+E(f373(x17183,x17184,x17185,x17181),f373(x17183,x17184,x17185,x17182))
% 190.77/190.69 [1719]~E(x17191,x17192)+E(f528(x17191,x17193,x17194,x17195,x17196,x17197),f528(x17192,x17193,x17194,x17195,x17196,x17197))
% 190.77/190.69 [1720]~E(x17201,x17202)+E(f528(x17203,x17201,x17204,x17205,x17206,x17207),f528(x17203,x17202,x17204,x17205,x17206,x17207))
% 190.77/190.69 [1721]~E(x17211,x17212)+E(f528(x17213,x17214,x17211,x17215,x17216,x17217),f528(x17213,x17214,x17212,x17215,x17216,x17217))
% 190.77/190.69 [1722]~E(x17221,x17222)+E(f528(x17223,x17224,x17225,x17221,x17226,x17227),f528(x17223,x17224,x17225,x17222,x17226,x17227))
% 190.77/190.69 [1723]~E(x17231,x17232)+E(f528(x17233,x17234,x17235,x17236,x17231,x17237),f528(x17233,x17234,x17235,x17236,x17232,x17237))
% 190.77/190.69 [1724]~E(x17241,x17242)+E(f528(x17243,x17244,x17245,x17246,x17247,x17241),f528(x17243,x17244,x17245,x17246,x17247,x17242))
% 190.77/190.69 [1725]~E(x17251,x17252)+E(f576(x17251),f576(x17252))
% 190.77/190.69 [1726]~E(x17261,x17262)+E(f579(x17261,x17263,x17264),f579(x17262,x17263,x17264))
% 190.77/190.69 [1727]~E(x17271,x17272)+E(f579(x17273,x17271,x17274),f579(x17273,x17272,x17274))
% 190.77/190.69 [1728]~E(x17281,x17282)+E(f579(x17283,x17284,x17281),f579(x17283,x17284,x17282))
% 190.77/190.69 [1729]~E(x17291,x17292)+E(f855(x17291,x17293,x17294),f855(x17292,x17293,x17294))
% 190.77/190.69 [1730]~E(x17301,x17302)+E(f855(x17303,x17301,x17304),f855(x17303,x17302,x17304))
% 190.77/190.69 [1731]~E(x17311,x17312)+E(f855(x17313,x17314,x17311),f855(x17313,x17314,x17312))
% 190.77/190.69 [1732]~E(x17321,x17322)+E(f714(x17321,x17323),f714(x17322,x17323))
% 190.77/190.69 [1733]~E(x17331,x17332)+E(f714(x17333,x17331),f714(x17333,x17332))
% 190.77/190.69 [1734]~E(x17341,x17342)+E(f645(x17341,x17343,x17344,x17345),f645(x17342,x17343,x17344,x17345))
% 190.77/190.69 [1735]~E(x17351,x17352)+E(f645(x17353,x17351,x17354,x17355),f645(x17353,x17352,x17354,x17355))
% 190.77/190.69 [1736]~E(x17361,x17362)+E(f645(x17363,x17364,x17361,x17365),f645(x17363,x17364,x17362,x17365))
% 190.77/190.69 [1737]~E(x17371,x17372)+E(f645(x17373,x17374,x17375,x17371),f645(x17373,x17374,x17375,x17372))
% 190.77/190.69 [1738]~E(x17381,x17382)+E(f398(x17381,x17383,x17384),f398(x17382,x17383,x17384))
% 190.77/190.69 [1739]~E(x17391,x17392)+E(f398(x17393,x17391,x17394),f398(x17393,x17392,x17394))
% 190.77/190.69 [1740]~E(x17401,x17402)+E(f398(x17403,x17404,x17401),f398(x17403,x17404,x17402))
% 190.77/190.69 [1741]~E(x17411,x17412)+E(f518(x17411,x17413),f518(x17412,x17413))
% 190.77/190.69 [1742]~E(x17421,x17422)+E(f518(x17423,x17421),f518(x17423,x17422))
% 190.77/190.69 [1743]~E(x17431,x17432)+E(f359(x17431,x17433,x17434,x17435),f359(x17432,x17433,x17434,x17435))
% 190.77/190.69 [1744]~E(x17441,x17442)+E(f359(x17443,x17441,x17444,x17445),f359(x17443,x17442,x17444,x17445))
% 190.77/190.69 [1745]~E(x17451,x17452)+E(f359(x17453,x17454,x17451,x17455),f359(x17453,x17454,x17452,x17455))
% 190.77/190.69 [1746]~E(x17461,x17462)+E(f359(x17463,x17464,x17465,x17461),f359(x17463,x17464,x17465,x17462))
% 190.77/190.69 [1747]~E(x17471,x17472)+E(f435(x17471,x17473,x17474,x17475),f435(x17472,x17473,x17474,x17475))
% 190.77/190.69 [1748]~E(x17481,x17482)+E(f435(x17483,x17481,x17484,x17485),f435(x17483,x17482,x17484,x17485))
% 190.77/190.69 [1749]~E(x17491,x17492)+E(f435(x17493,x17494,x17491,x17495),f435(x17493,x17494,x17492,x17495))
% 190.77/190.69 [1750]~E(x17501,x17502)+E(f435(x17503,x17504,x17505,x17501),f435(x17503,x17504,x17505,x17502))
% 190.77/190.69 [1751]~E(x17511,x17512)+E(f834(x17511,x17513,x17514,x17515),f834(x17512,x17513,x17514,x17515))
% 190.77/190.69 [1752]~E(x17521,x17522)+E(f834(x17523,x17521,x17524,x17525),f834(x17523,x17522,x17524,x17525))
% 190.77/190.69 [1753]~E(x17531,x17532)+E(f834(x17533,x17534,x17531,x17535),f834(x17533,x17534,x17532,x17535))
% 190.77/190.69 [1754]~E(x17541,x17542)+E(f834(x17543,x17544,x17545,x17541),f834(x17543,x17544,x17545,x17542))
% 190.77/190.69 [1755]~E(x17551,x17552)+E(f590(x17551,x17553,x17554),f590(x17552,x17553,x17554))
% 190.77/190.69 [1756]~E(x17561,x17562)+E(f590(x17563,x17561,x17564),f590(x17563,x17562,x17564))
% 190.77/190.69 [1757]~E(x17571,x17572)+E(f590(x17573,x17574,x17571),f590(x17573,x17574,x17572))
% 190.77/190.69 [1758]~E(x17581,x17582)+E(f688(x17581,x17583,x17584),f688(x17582,x17583,x17584))
% 190.77/190.69 [1759]~E(x17591,x17592)+E(f688(x17593,x17591,x17594),f688(x17593,x17592,x17594))
% 190.77/190.69 [1760]~E(x17601,x17602)+E(f688(x17603,x17604,x17601),f688(x17603,x17604,x17602))
% 190.77/190.69 [1761]~E(x17611,x17612)+E(f804(x17611,x17613,x17614,x17615,x17616,x17617),f804(x17612,x17613,x17614,x17615,x17616,x17617))
% 190.77/190.69 [1762]~E(x17621,x17622)+E(f804(x17623,x17621,x17624,x17625,x17626,x17627),f804(x17623,x17622,x17624,x17625,x17626,x17627))
% 190.77/190.69 [1763]~E(x17631,x17632)+E(f804(x17633,x17634,x17631,x17635,x17636,x17637),f804(x17633,x17634,x17632,x17635,x17636,x17637))
% 190.77/190.69 [1764]~E(x17641,x17642)+E(f804(x17643,x17644,x17645,x17641,x17646,x17647),f804(x17643,x17644,x17645,x17642,x17646,x17647))
% 190.77/190.69 [1765]~E(x17651,x17652)+E(f804(x17653,x17654,x17655,x17656,x17651,x17657),f804(x17653,x17654,x17655,x17656,x17652,x17657))
% 190.77/190.69 [1766]~E(x17661,x17662)+E(f804(x17663,x17664,x17665,x17666,x17667,x17661),f804(x17663,x17664,x17665,x17666,x17667,x17662))
% 190.77/190.69 [1767]~E(x17671,x17672)+E(f693(x17671,x17673),f693(x17672,x17673))
% 190.77/190.69 [1768]~E(x17681,x17682)+E(f693(x17683,x17681),f693(x17683,x17682))
% 190.77/190.69 [1769]~E(x17691,x17692)+E(f662(x17691,x17693,x17694,x17695),f662(x17692,x17693,x17694,x17695))
% 190.77/190.69 [1770]~E(x17701,x17702)+E(f662(x17703,x17701,x17704,x17705),f662(x17703,x17702,x17704,x17705))
% 190.77/190.69 [1771]~E(x17711,x17712)+E(f662(x17713,x17714,x17711,x17715),f662(x17713,x17714,x17712,x17715))
% 190.77/190.69 [1772]~E(x17721,x17722)+E(f662(x17723,x17724,x17725,x17721),f662(x17723,x17724,x17725,x17722))
% 190.77/190.69 [1773]~E(x17731,x17732)+E(f259(x17731,x17733),f259(x17732,x17733))
% 190.77/190.69 [1774]~E(x17741,x17742)+E(f259(x17743,x17741),f259(x17743,x17742))
% 190.77/190.69 [1775]~E(x17751,x17752)+E(f868(x17751,x17753),f868(x17752,x17753))
% 190.77/190.69 [1776]~E(x17761,x17762)+E(f868(x17763,x17761),f868(x17763,x17762))
% 190.77/190.69 [1777]~E(x17771,x17772)+E(f501(x17771,x17773),f501(x17772,x17773))
% 190.77/190.69 [1778]~E(x17781,x17782)+E(f501(x17783,x17781),f501(x17783,x17782))
% 190.77/190.69 [1779]~E(x17791,x17792)+E(f414(x17791,x17793,x17794,x17795,x17796),f414(x17792,x17793,x17794,x17795,x17796))
% 190.77/190.69 [1780]~E(x17801,x17802)+E(f414(x17803,x17801,x17804,x17805,x17806),f414(x17803,x17802,x17804,x17805,x17806))
% 190.77/190.69 [1781]~E(x17811,x17812)+E(f414(x17813,x17814,x17811,x17815,x17816),f414(x17813,x17814,x17812,x17815,x17816))
% 190.77/190.69 [1782]~E(x17821,x17822)+E(f414(x17823,x17824,x17825,x17821,x17826),f414(x17823,x17824,x17825,x17822,x17826))
% 190.77/190.69 [1783]~E(x17831,x17832)+E(f414(x17833,x17834,x17835,x17836,x17831),f414(x17833,x17834,x17835,x17836,x17832))
% 190.77/190.69 [1784]~E(x17841,x17842)+E(f194(x17841),f194(x17842))
% 190.77/190.69 [1785]~E(x17851,x17852)+E(f420(x17851,x17853,x17854,x17855),f420(x17852,x17853,x17854,x17855))
% 190.77/190.69 [1786]~E(x17861,x17862)+E(f420(x17863,x17861,x17864,x17865),f420(x17863,x17862,x17864,x17865))
% 190.77/190.69 [1787]~E(x17871,x17872)+E(f420(x17873,x17874,x17871,x17875),f420(x17873,x17874,x17872,x17875))
% 190.77/190.69 [1788]~E(x17881,x17882)+E(f420(x17883,x17884,x17885,x17881),f420(x17883,x17884,x17885,x17882))
% 190.77/190.69 [1789]~E(x17891,x17892)+E(f784(x17891),f784(x17892))
% 190.77/190.69 [1790]~E(x17901,x17902)+E(f164(x17901,x17903,x17904),f164(x17902,x17903,x17904))
% 190.77/190.69 [1791]~E(x17911,x17912)+E(f164(x17913,x17911,x17914),f164(x17913,x17912,x17914))
% 190.77/190.69 [1792]~E(x17921,x17922)+E(f164(x17923,x17924,x17921),f164(x17923,x17924,x17922))
% 190.77/190.69 [1793]~E(x17931,x17932)+E(f323(x17931,x17933,x17934,x17935),f323(x17932,x17933,x17934,x17935))
% 190.77/190.69 [1794]~E(x17941,x17942)+E(f323(x17943,x17941,x17944,x17945),f323(x17943,x17942,x17944,x17945))
% 190.77/190.69 [1795]~E(x17951,x17952)+E(f323(x17953,x17954,x17951,x17955),f323(x17953,x17954,x17952,x17955))
% 190.77/190.69 [1796]~E(x17961,x17962)+E(f323(x17963,x17964,x17965,x17961),f323(x17963,x17964,x17965,x17962))
% 190.77/190.69 [1797]~E(x17971,x17972)+E(f570(x17971,x17973,x17974,x17975,x17976),f570(x17972,x17973,x17974,x17975,x17976))
% 190.77/190.69 [1798]~E(x17981,x17982)+E(f570(x17983,x17981,x17984,x17985,x17986),f570(x17983,x17982,x17984,x17985,x17986))
% 190.77/190.69 [1799]~E(x17991,x17992)+E(f570(x17993,x17994,x17991,x17995,x17996),f570(x17993,x17994,x17992,x17995,x17996))
% 190.77/190.69 [1800]~E(x18001,x18002)+E(f570(x18003,x18004,x18005,x18001,x18006),f570(x18003,x18004,x18005,x18002,x18006))
% 190.77/190.69 [1801]~E(x18011,x18012)+E(f570(x18013,x18014,x18015,x18016,x18011),f570(x18013,x18014,x18015,x18016,x18012))
% 190.77/190.69 [1802]~E(x18021,x18022)+E(f495(x18021,x18023,x18024,x18025),f495(x18022,x18023,x18024,x18025))
% 190.77/190.69 [1803]~E(x18031,x18032)+E(f495(x18033,x18031,x18034,x18035),f495(x18033,x18032,x18034,x18035))
% 190.77/190.69 [1804]~E(x18041,x18042)+E(f495(x18043,x18044,x18041,x18045),f495(x18043,x18044,x18042,x18045))
% 190.77/190.69 [1805]~E(x18051,x18052)+E(f495(x18053,x18054,x18055,x18051),f495(x18053,x18054,x18055,x18052))
% 190.77/190.69 [1806]~E(x18061,x18062)+E(f364(x18061,x18063,x18064,x18065),f364(x18062,x18063,x18064,x18065))
% 190.77/190.69 [1807]~E(x18071,x18072)+E(f364(x18073,x18071,x18074,x18075),f364(x18073,x18072,x18074,x18075))
% 190.77/190.69 [1808]~E(x18081,x18082)+E(f364(x18083,x18084,x18081,x18085),f364(x18083,x18084,x18082,x18085))
% 190.77/190.69 [1809]~E(x18091,x18092)+E(f364(x18093,x18094,x18095,x18091),f364(x18093,x18094,x18095,x18092))
% 190.77/190.69 [1810]~E(x18101,x18102)+E(f568(x18101,x18103,x18104,x18105,x18106,x18107),f568(x18102,x18103,x18104,x18105,x18106,x18107))
% 190.77/190.69 [1811]~E(x18111,x18112)+E(f568(x18113,x18111,x18114,x18115,x18116,x18117),f568(x18113,x18112,x18114,x18115,x18116,x18117))
% 190.77/190.69 [1812]~E(x18121,x18122)+E(f568(x18123,x18124,x18121,x18125,x18126,x18127),f568(x18123,x18124,x18122,x18125,x18126,x18127))
% 190.77/190.69 [1813]~E(x18131,x18132)+E(f568(x18133,x18134,x18135,x18131,x18136,x18137),f568(x18133,x18134,x18135,x18132,x18136,x18137))
% 190.77/190.69 [1814]~E(x18141,x18142)+E(f568(x18143,x18144,x18145,x18146,x18141,x18147),f568(x18143,x18144,x18145,x18146,x18142,x18147))
% 190.77/190.69 [1815]~E(x18151,x18152)+E(f568(x18153,x18154,x18155,x18156,x18157,x18151),f568(x18153,x18154,x18155,x18156,x18157,x18152))
% 190.77/190.69 [1816]~E(x18161,x18162)+E(f327(x18161,x18163),f327(x18162,x18163))
% 190.77/190.69 [1817]~E(x18171,x18172)+E(f327(x18173,x18171),f327(x18173,x18172))
% 190.77/190.69 [1818]~E(x18181,x18182)+E(f344(x18181,x18183,x18184,x18185),f344(x18182,x18183,x18184,x18185))
% 190.77/190.69 [1819]~E(x18191,x18192)+E(f344(x18193,x18191,x18194,x18195),f344(x18193,x18192,x18194,x18195))
% 190.77/190.69 [1820]~E(x18201,x18202)+E(f344(x18203,x18204,x18201,x18205),f344(x18203,x18204,x18202,x18205))
% 190.77/190.69 [1821]~E(x18211,x18212)+E(f344(x18213,x18214,x18215,x18211),f344(x18213,x18214,x18215,x18212))
% 190.77/190.69 [1822]~E(x18221,x18222)+E(f585(x18221,x18223,x18224,x18225,x18226),f585(x18222,x18223,x18224,x18225,x18226))
% 190.77/190.69 [1823]~E(x18231,x18232)+E(f585(x18233,x18231,x18234,x18235,x18236),f585(x18233,x18232,x18234,x18235,x18236))
% 190.77/190.69 [1824]~E(x18241,x18242)+E(f585(x18243,x18244,x18241,x18245,x18246),f585(x18243,x18244,x18242,x18245,x18246))
% 190.77/190.69 [1825]~E(x18251,x18252)+E(f585(x18253,x18254,x18255,x18251,x18256),f585(x18253,x18254,x18255,x18252,x18256))
% 190.77/190.69 [1826]~E(x18261,x18262)+E(f585(x18263,x18264,x18265,x18266,x18261),f585(x18263,x18264,x18265,x18266,x18262))
% 190.77/190.69 [1827]~E(x18271,x18272)+E(f642(x18271,x18273),f642(x18272,x18273))
% 190.77/190.69 [1828]~E(x18281,x18282)+E(f642(x18283,x18281),f642(x18283,x18282))
% 190.77/190.69 [1829]~E(x18291,x18292)+E(f652(x18291,x18293,x18294),f652(x18292,x18293,x18294))
% 190.77/190.69 [1830]~E(x18301,x18302)+E(f652(x18303,x18301,x18304),f652(x18303,x18302,x18304))
% 190.77/190.69 [1831]~E(x18311,x18312)+E(f652(x18313,x18314,x18311),f652(x18313,x18314,x18312))
% 190.77/190.69 [1832]~E(x18321,x18322)+E(f728(x18321,x18323),f728(x18322,x18323))
% 190.77/190.69 [1833]~E(x18331,x18332)+E(f728(x18333,x18331),f728(x18333,x18332))
% 190.77/190.69 [1834]~E(x18341,x18342)+E(f481(x18341,x18343,x18344,x18345,x18346,x18347,x18348,x18349),f481(x18342,x18343,x18344,x18345,x18346,x18347,x18348,x18349))
% 190.77/190.69 [1835]~E(x18351,x18352)+E(f481(x18353,x18351,x18354,x18355,x18356,x18357,x18358,x18359),f481(x18353,x18352,x18354,x18355,x18356,x18357,x18358,x18359))
% 190.77/190.69 [1836]~E(x18361,x18362)+E(f481(x18363,x18364,x18361,x18365,x18366,x18367,x18368,x18369),f481(x18363,x18364,x18362,x18365,x18366,x18367,x18368,x18369))
% 190.77/190.69 [1837]~E(x18371,x18372)+E(f481(x18373,x18374,x18375,x18371,x18376,x18377,x18378,x18379),f481(x18373,x18374,x18375,x18372,x18376,x18377,x18378,x18379))
% 190.77/190.69 [1838]~E(x18381,x18382)+E(f481(x18383,x18384,x18385,x18386,x18381,x18387,x18388,x18389),f481(x18383,x18384,x18385,x18386,x18382,x18387,x18388,x18389))
% 190.77/190.69 [1839]~E(x18391,x18392)+E(f481(x18393,x18394,x18395,x18396,x18397,x18391,x18398,x18399),f481(x18393,x18394,x18395,x18396,x18397,x18392,x18398,x18399))
% 190.77/190.69 [1840]~E(x18401,x18402)+E(f481(x18403,x18404,x18405,x18406,x18407,x18408,x18401,x18409),f481(x18403,x18404,x18405,x18406,x18407,x18408,x18402,x18409))
% 190.77/190.69 [1841]~E(x18411,x18412)+E(f481(x18413,x18414,x18415,x18416,x18417,x18418,x18419,x18411),f481(x18413,x18414,x18415,x18416,x18417,x18418,x18419,x18412))
% 190.77/190.69 [1842]~E(x18421,x18422)+E(f540(x18421,x18423,x18424),f540(x18422,x18423,x18424))
% 190.77/190.69 [1843]~E(x18431,x18432)+E(f540(x18433,x18431,x18434),f540(x18433,x18432,x18434))
% 190.77/190.69 [1844]~E(x18441,x18442)+E(f540(x18443,x18444,x18441),f540(x18443,x18444,x18442))
% 190.77/190.69 [1845]~E(x18451,x18452)+E(f381(x18451,x18453),f381(x18452,x18453))
% 190.77/190.69 [1846]~E(x18461,x18462)+E(f381(x18463,x18461),f381(x18463,x18462))
% 190.77/190.69 [1847]~E(x18471,x18472)+E(f112(x18471,x18473,x18474,x18475),f112(x18472,x18473,x18474,x18475))
% 190.77/190.69 [1848]~E(x18481,x18482)+E(f112(x18483,x18481,x18484,x18485),f112(x18483,x18482,x18484,x18485))
% 190.77/190.69 [1849]~E(x18491,x18492)+E(f112(x18493,x18494,x18491,x18495),f112(x18493,x18494,x18492,x18495))
% 190.77/190.69 [1850]~E(x18501,x18502)+E(f112(x18503,x18504,x18505,x18501),f112(x18503,x18504,x18505,x18502))
% 190.77/190.69 [1851]~E(x18511,x18512)+E(f613(x18511,x18513,x18514),f613(x18512,x18513,x18514))
% 190.77/190.69 [1852]~E(x18521,x18522)+E(f613(x18523,x18521,x18524),f613(x18523,x18522,x18524))
% 190.77/190.69 [1853]~E(x18531,x18532)+E(f613(x18533,x18534,x18531),f613(x18533,x18534,x18532))
% 190.77/190.69 [1854]~E(x18541,x18542)+E(f191(x18541),f191(x18542))
% 190.77/190.69 [1855]~E(x18551,x18552)+E(f686(x18551,x18553),f686(x18552,x18553))
% 190.77/190.69 [1856]~E(x18561,x18562)+E(f686(x18563,x18561),f686(x18563,x18562))
% 190.77/190.69 [1857]~E(x18571,x18572)+E(f506(x18571,x18573,x18574,x18575),f506(x18572,x18573,x18574,x18575))
% 190.77/190.69 [1858]~E(x18581,x18582)+E(f506(x18583,x18581,x18584,x18585),f506(x18583,x18582,x18584,x18585))
% 190.77/190.69 [1859]~E(x18591,x18592)+E(f506(x18593,x18594,x18591,x18595),f506(x18593,x18594,x18592,x18595))
% 190.77/190.69 [1860]~E(x18601,x18602)+E(f506(x18603,x18604,x18605,x18601),f506(x18603,x18604,x18605,x18602))
% 190.77/190.69 [1861]~E(x18611,x18612)+E(f557(x18611,x18613,x18614),f557(x18612,x18613,x18614))
% 190.77/190.69 [1862]~E(x18621,x18622)+E(f557(x18623,x18621,x18624),f557(x18623,x18622,x18624))
% 190.77/190.69 [1863]~E(x18631,x18632)+E(f557(x18633,x18634,x18631),f557(x18633,x18634,x18632))
% 190.77/190.69 [1864]~E(x18641,x18642)+E(f680(x18641,x18643,x18644),f680(x18642,x18643,x18644))
% 190.77/190.69 [1865]~E(x18651,x18652)+E(f680(x18653,x18651,x18654),f680(x18653,x18652,x18654))
% 190.77/190.69 [1866]~E(x18661,x18662)+E(f680(x18663,x18664,x18661),f680(x18663,x18664,x18662))
% 190.77/190.69 [1867]~E(x18671,x18672)+E(f394(x18671,x18673,x18674,x18675),f394(x18672,x18673,x18674,x18675))
% 190.77/190.69 [1868]~E(x18681,x18682)+E(f394(x18683,x18681,x18684,x18685),f394(x18683,x18682,x18684,x18685))
% 190.77/190.69 [1869]~E(x18691,x18692)+E(f394(x18693,x18694,x18691,x18695),f394(x18693,x18694,x18692,x18695))
% 190.77/190.69 [1870]~E(x18701,x18702)+E(f394(x18703,x18704,x18705,x18701),f394(x18703,x18704,x18705,x18702))
% 190.77/190.69 [1871]~E(x18711,x18712)+E(f328(x18711,x18713,x18714),f328(x18712,x18713,x18714))
% 190.77/190.69 [1872]~E(x18721,x18722)+E(f328(x18723,x18721,x18724),f328(x18723,x18722,x18724))
% 190.77/190.69 [1873]~E(x18731,x18732)+E(f328(x18733,x18734,x18731),f328(x18733,x18734,x18732))
% 190.77/190.69 [1874]~E(x18741,x18742)+E(f790(x18741,x18743,x18744,x18745,x18746,x18747),f790(x18742,x18743,x18744,x18745,x18746,x18747))
% 190.77/190.69 [1875]~E(x18751,x18752)+E(f790(x18753,x18751,x18754,x18755,x18756,x18757),f790(x18753,x18752,x18754,x18755,x18756,x18757))
% 190.77/190.69 [1876]~E(x18761,x18762)+E(f790(x18763,x18764,x18761,x18765,x18766,x18767),f790(x18763,x18764,x18762,x18765,x18766,x18767))
% 190.77/190.69 [1877]~E(x18771,x18772)+E(f790(x18773,x18774,x18775,x18771,x18776,x18777),f790(x18773,x18774,x18775,x18772,x18776,x18777))
% 190.77/190.69 [1878]~E(x18781,x18782)+E(f790(x18783,x18784,x18785,x18786,x18781,x18787),f790(x18783,x18784,x18785,x18786,x18782,x18787))
% 190.77/190.69 [1879]~E(x18791,x18792)+E(f790(x18793,x18794,x18795,x18796,x18797,x18791),f790(x18793,x18794,x18795,x18796,x18797,x18792))
% 190.77/190.69 [1880]~E(x18801,x18802)+E(f476(x18801,x18803,x18804,x18805,x18806),f476(x18802,x18803,x18804,x18805,x18806))
% 190.77/190.69 [1881]~E(x18811,x18812)+E(f476(x18813,x18811,x18814,x18815,x18816),f476(x18813,x18812,x18814,x18815,x18816))
% 190.77/190.69 [1882]~E(x18821,x18822)+E(f476(x18823,x18824,x18821,x18825,x18826),f476(x18823,x18824,x18822,x18825,x18826))
% 190.77/190.69 [1883]~E(x18831,x18832)+E(f476(x18833,x18834,x18835,x18831,x18836),f476(x18833,x18834,x18835,x18832,x18836))
% 190.77/190.69 [1884]~E(x18841,x18842)+E(f476(x18843,x18844,x18845,x18846,x18841),f476(x18843,x18844,x18845,x18846,x18842))
% 190.77/190.69 [1885]~E(x18851,x18852)+E(f196(x18851,x18853,x18854,x18855),f196(x18852,x18853,x18854,x18855))
% 190.77/190.69 [1886]~E(x18861,x18862)+E(f196(x18863,x18861,x18864,x18865),f196(x18863,x18862,x18864,x18865))
% 190.77/190.69 [1887]~E(x18871,x18872)+E(f196(x18873,x18874,x18871,x18875),f196(x18873,x18874,x18872,x18875))
% 190.77/190.69 [1888]~E(x18881,x18882)+E(f196(x18883,x18884,x18885,x18881),f196(x18883,x18884,x18885,x18882))
% 190.77/190.69 [1889]~E(x18891,x18892)+E(f214(x18891,x18893,x18894,x18895,x18896),f214(x18892,x18893,x18894,x18895,x18896))
% 190.77/190.69 [1890]~E(x18901,x18902)+E(f214(x18903,x18901,x18904,x18905,x18906),f214(x18903,x18902,x18904,x18905,x18906))
% 190.77/190.69 [1891]~E(x18911,x18912)+E(f214(x18913,x18914,x18911,x18915,x18916),f214(x18913,x18914,x18912,x18915,x18916))
% 190.77/190.69 [1892]~E(x18921,x18922)+E(f214(x18923,x18924,x18925,x18921,x18926),f214(x18923,x18924,x18925,x18922,x18926))
% 190.77/190.69 [1893]~E(x18931,x18932)+E(f214(x18933,x18934,x18935,x18936,x18931),f214(x18933,x18934,x18935,x18936,x18932))
% 190.77/190.69 [1894]~E(x18941,x18942)+E(f552(x18941,x18943,x18944,x18945,x18946),f552(x18942,x18943,x18944,x18945,x18946))
% 190.77/190.69 [1895]~E(x18951,x18952)+E(f552(x18953,x18951,x18954,x18955,x18956),f552(x18953,x18952,x18954,x18955,x18956))
% 190.77/190.69 [1896]~E(x18961,x18962)+E(f552(x18963,x18964,x18961,x18965,x18966),f552(x18963,x18964,x18962,x18965,x18966))
% 190.77/190.69 [1897]~E(x18971,x18972)+E(f552(x18973,x18974,x18975,x18971,x18976),f552(x18973,x18974,x18975,x18972,x18976))
% 190.77/190.69 [1898]~E(x18981,x18982)+E(f552(x18983,x18984,x18985,x18986,x18981),f552(x18983,x18984,x18985,x18986,x18982))
% 190.77/190.69 [1899]~E(x18991,x18992)+E(f424(x18991,x18993,x18994,x18995,x18996),f424(x18992,x18993,x18994,x18995,x18996))
% 190.77/190.69 [1900]~E(x19001,x19002)+E(f424(x19003,x19001,x19004,x19005,x19006),f424(x19003,x19002,x19004,x19005,x19006))
% 190.77/190.69 [1901]~E(x19011,x19012)+E(f424(x19013,x19014,x19011,x19015,x19016),f424(x19013,x19014,x19012,x19015,x19016))
% 190.77/190.69 [1902]~E(x19021,x19022)+E(f424(x19023,x19024,x19025,x19021,x19026),f424(x19023,x19024,x19025,x19022,x19026))
% 190.77/190.69 [1903]~E(x19031,x19032)+E(f424(x19033,x19034,x19035,x19036,x19031),f424(x19033,x19034,x19035,x19036,x19032))
% 190.77/190.69 [1904]~E(x19041,x19042)+E(f511(x19041),f511(x19042))
% 190.77/190.69 [1905]~E(x19051,x19052)+E(f212(x19051,x19053,x19054),f212(x19052,x19053,x19054))
% 190.77/190.69 [1906]~E(x19061,x19062)+E(f212(x19063,x19061,x19064),f212(x19063,x19062,x19064))
% 190.77/190.69 [1907]~E(x19071,x19072)+E(f212(x19073,x19074,x19071),f212(x19073,x19074,x19072))
% 190.77/190.69 [1908]~E(x19081,x19082)+E(f227(x19081,x19083),f227(x19082,x19083))
% 190.77/190.69 [1909]~E(x19091,x19092)+E(f227(x19093,x19091),f227(x19093,x19092))
% 190.77/190.69 [1910]~E(x19101,x19102)+E(f643(x19101,x19103),f643(x19102,x19103))
% 190.77/190.69 [1911]~E(x19111,x19112)+E(f643(x19113,x19111),f643(x19113,x19112))
% 190.77/190.69 [1912]~E(x19121,x19122)+E(f534(x19121,x19123,x19124),f534(x19122,x19123,x19124))
% 190.77/190.69 [1913]~E(x19131,x19132)+E(f534(x19133,x19131,x19134),f534(x19133,x19132,x19134))
% 190.77/190.69 [1914]~E(x19141,x19142)+E(f534(x19143,x19144,x19141),f534(x19143,x19144,x19142))
% 190.77/190.69 [1915]~E(x19151,x19152)+E(f422(x19151,x19153,x19154,x19155),f422(x19152,x19153,x19154,x19155))
% 190.77/190.69 [1916]~E(x19161,x19162)+E(f422(x19163,x19161,x19164,x19165),f422(x19163,x19162,x19164,x19165))
% 190.77/190.69 [1917]~E(x19171,x19172)+E(f422(x19173,x19174,x19171,x19175),f422(x19173,x19174,x19172,x19175))
% 190.77/190.69 [1918]~E(x19181,x19182)+E(f422(x19183,x19184,x19185,x19181),f422(x19183,x19184,x19185,x19182))
% 190.77/190.69 [1919]~E(x19191,x19192)+E(f461(x19191,x19193,x19194,x19195,x19196),f461(x19192,x19193,x19194,x19195,x19196))
% 190.77/190.69 [1920]~E(x19201,x19202)+E(f461(x19203,x19201,x19204,x19205,x19206),f461(x19203,x19202,x19204,x19205,x19206))
% 190.77/190.69 [1921]~E(x19211,x19212)+E(f461(x19213,x19214,x19211,x19215,x19216),f461(x19213,x19214,x19212,x19215,x19216))
% 190.77/190.69 [1922]~E(x19221,x19222)+E(f461(x19223,x19224,x19225,x19221,x19226),f461(x19223,x19224,x19225,x19222,x19226))
% 190.77/190.69 [1923]~E(x19231,x19232)+E(f461(x19233,x19234,x19235,x19236,x19231),f461(x19233,x19234,x19235,x19236,x19232))
% 190.77/190.69 [1924]~E(x19241,x19242)+E(f828(x19241,x19243,x19244,x19245,x19246,x19247,x19248,x19249),f828(x19242,x19243,x19244,x19245,x19246,x19247,x19248,x19249))
% 190.77/190.69 [1925]~E(x19251,x19252)+E(f828(x19253,x19251,x19254,x19255,x19256,x19257,x19258,x19259),f828(x19253,x19252,x19254,x19255,x19256,x19257,x19258,x19259))
% 190.77/190.69 [1926]~E(x19261,x19262)+E(f828(x19263,x19264,x19261,x19265,x19266,x19267,x19268,x19269),f828(x19263,x19264,x19262,x19265,x19266,x19267,x19268,x19269))
% 190.77/190.69 [1927]~E(x19271,x19272)+E(f828(x19273,x19274,x19275,x19271,x19276,x19277,x19278,x19279),f828(x19273,x19274,x19275,x19272,x19276,x19277,x19278,x19279))
% 190.77/190.69 [1928]~E(x19281,x19282)+E(f828(x19283,x19284,x19285,x19286,x19281,x19287,x19288,x19289),f828(x19283,x19284,x19285,x19286,x19282,x19287,x19288,x19289))
% 190.77/190.69 [1929]~E(x19291,x19292)+E(f828(x19293,x19294,x19295,x19296,x19297,x19291,x19298,x19299),f828(x19293,x19294,x19295,x19296,x19297,x19292,x19298,x19299))
% 190.77/190.69 [1930]~E(x19301,x19302)+E(f828(x19303,x19304,x19305,x19306,x19307,x19308,x19301,x19309),f828(x19303,x19304,x19305,x19306,x19307,x19308,x19302,x19309))
% 190.77/190.69 [1931]~E(x19311,x19312)+E(f828(x19313,x19314,x19315,x19316,x19317,x19318,x19319,x19311),f828(x19313,x19314,x19315,x19316,x19317,x19318,x19319,x19312))
% 190.77/190.69 [1932]~E(x19321,x19322)+E(f38(x19321),f38(x19322))
% 190.77/190.69 [1933]~E(x19331,x19332)+E(f192(x19331,x19333),f192(x19332,x19333))
% 190.77/190.69 [1934]~E(x19341,x19342)+E(f192(x19343,x19341),f192(x19343,x19342))
% 190.77/190.69 [1935]~E(x19351,x19352)+E(f469(x19351),f469(x19352))
% 190.77/190.69 [1936]~E(x19361,x19362)+E(f884(x19361,x19363,x19364,x19365),f884(x19362,x19363,x19364,x19365))
% 190.77/190.69 [1937]~E(x19371,x19372)+E(f884(x19373,x19371,x19374,x19375),f884(x19373,x19372,x19374,x19375))
% 190.77/190.69 [1938]~E(x19381,x19382)+E(f884(x19383,x19384,x19381,x19385),f884(x19383,x19384,x19382,x19385))
% 190.77/190.69 [1939]~E(x19391,x19392)+E(f884(x19393,x19394,x19395,x19391),f884(x19393,x19394,x19395,x19392))
% 190.77/190.69 [1940]~E(x19401,x19402)+E(f524(x19401,x19403,x19404,x19405),f524(x19402,x19403,x19404,x19405))
% 190.77/190.69 [1941]~E(x19411,x19412)+E(f524(x19413,x19411,x19414,x19415),f524(x19413,x19412,x19414,x19415))
% 190.77/190.69 [1942]~E(x19421,x19422)+E(f524(x19423,x19424,x19421,x19425),f524(x19423,x19424,x19422,x19425))
% 190.77/190.69 [1943]~E(x19431,x19432)+E(f524(x19433,x19434,x19435,x19431),f524(x19433,x19434,x19435,x19432))
% 190.77/190.69 [1944]~E(x19441,x19442)+E(f597(x19441,x19443,x19444),f597(x19442,x19443,x19444))
% 190.77/190.69 [1945]~E(x19451,x19452)+E(f597(x19453,x19451,x19454),f597(x19453,x19452,x19454))
% 190.77/190.69 [1946]~E(x19461,x19462)+E(f597(x19463,x19464,x19461),f597(x19463,x19464,x19462))
% 190.77/190.69 [1947]~E(x19471,x19472)+E(f195(x19471,x19473,x19474,x19475),f195(x19472,x19473,x19474,x19475))
% 190.77/190.69 [1948]~E(x19481,x19482)+E(f195(x19483,x19481,x19484,x19485),f195(x19483,x19482,x19484,x19485))
% 190.77/190.69 [1949]~E(x19491,x19492)+E(f195(x19493,x19494,x19491,x19495),f195(x19493,x19494,x19492,x19495))
% 190.77/190.69 [1950]~E(x19501,x19502)+E(f195(x19503,x19504,x19505,x19501),f195(x19503,x19504,x19505,x19502))
% 190.77/190.69 [1951]~E(x19511,x19512)+E(f416(x19511,x19513,x19514,x19515),f416(x19512,x19513,x19514,x19515))
% 190.77/190.69 [1952]~E(x19521,x19522)+E(f416(x19523,x19521,x19524,x19525),f416(x19523,x19522,x19524,x19525))
% 190.77/190.69 [1953]~E(x19531,x19532)+E(f416(x19533,x19534,x19531,x19535),f416(x19533,x19534,x19532,x19535))
% 190.77/190.69 [1954]~E(x19541,x19542)+E(f416(x19543,x19544,x19545,x19541),f416(x19543,x19544,x19545,x19542))
% 190.77/190.69 [1955]~E(x19551,x19552)+E(f542(x19551,x19553,x19554,x19555,x19556),f542(x19552,x19553,x19554,x19555,x19556))
% 190.77/190.69 [1956]~E(x19561,x19562)+E(f542(x19563,x19561,x19564,x19565,x19566),f542(x19563,x19562,x19564,x19565,x19566))
% 190.77/190.69 [1957]~E(x19571,x19572)+E(f542(x19573,x19574,x19571,x19575,x19576),f542(x19573,x19574,x19572,x19575,x19576))
% 190.77/190.69 [1958]~E(x19581,x19582)+E(f542(x19583,x19584,x19585,x19581,x19586),f542(x19583,x19584,x19585,x19582,x19586))
% 190.77/190.69 [1959]~E(x19591,x19592)+E(f542(x19593,x19594,x19595,x19596,x19591),f542(x19593,x19594,x19595,x19596,x19592))
% 190.77/190.69 [1960]~E(x19601,x19602)+E(f407(x19601,x19603),f407(x19602,x19603))
% 190.77/190.69 [1961]~E(x19611,x19612)+E(f407(x19613,x19611),f407(x19613,x19612))
% 190.77/190.69 [1962]~E(x19621,x19622)+E(f341(x19621,x19623,x19624),f341(x19622,x19623,x19624))
% 190.77/190.69 [1963]~E(x19631,x19632)+E(f341(x19633,x19631,x19634),f341(x19633,x19632,x19634))
% 190.77/190.69 [1964]~E(x19641,x19642)+E(f341(x19643,x19644,x19641),f341(x19643,x19644,x19642))
% 190.77/190.69 [1965]~E(x19651,x19652)+E(f670(x19651,x19653,x19654),f670(x19652,x19653,x19654))
% 190.77/190.69 [1966]~E(x19661,x19662)+E(f670(x19663,x19661,x19664),f670(x19663,x19662,x19664))
% 190.77/190.69 [1967]~E(x19671,x19672)+E(f670(x19673,x19674,x19671),f670(x19673,x19674,x19672))
% 190.77/190.69 [1968]~E(x19681,x19682)+E(f371(x19681,x19683,x19684,x19685),f371(x19682,x19683,x19684,x19685))
% 190.77/190.69 [1969]~E(x19691,x19692)+E(f371(x19693,x19691,x19694,x19695),f371(x19693,x19692,x19694,x19695))
% 190.77/190.69 [1970]~E(x19701,x19702)+E(f371(x19703,x19704,x19701,x19705),f371(x19703,x19704,x19702,x19705))
% 190.77/190.69 [1971]~E(x19711,x19712)+E(f371(x19713,x19714,x19715,x19711),f371(x19713,x19714,x19715,x19712))
% 190.77/190.69 [1972]~E(x19721,x19722)+E(f709(x19721,x19723,x19724,x19725,x19726,x19727,x19728,x19729),f709(x19722,x19723,x19724,x19725,x19726,x19727,x19728,x19729))
% 190.77/190.69 [1973]~E(x19731,x19732)+E(f709(x19733,x19731,x19734,x19735,x19736,x19737,x19738,x19739),f709(x19733,x19732,x19734,x19735,x19736,x19737,x19738,x19739))
% 190.77/190.69 [1974]~E(x19741,x19742)+E(f709(x19743,x19744,x19741,x19745,x19746,x19747,x19748,x19749),f709(x19743,x19744,x19742,x19745,x19746,x19747,x19748,x19749))
% 190.77/190.69 [1975]~E(x19751,x19752)+E(f709(x19753,x19754,x19755,x19751,x19756,x19757,x19758,x19759),f709(x19753,x19754,x19755,x19752,x19756,x19757,x19758,x19759))
% 190.77/190.69 [1976]~E(x19761,x19762)+E(f709(x19763,x19764,x19765,x19766,x19761,x19767,x19768,x19769),f709(x19763,x19764,x19765,x19766,x19762,x19767,x19768,x19769))
% 190.77/190.69 [1977]~E(x19771,x19772)+E(f709(x19773,x19774,x19775,x19776,x19777,x19771,x19778,x19779),f709(x19773,x19774,x19775,x19776,x19777,x19772,x19778,x19779))
% 190.77/190.69 [1978]~E(x19781,x19782)+E(f709(x19783,x19784,x19785,x19786,x19787,x19788,x19781,x19789),f709(x19783,x19784,x19785,x19786,x19787,x19788,x19782,x19789))
% 190.77/190.69 [1979]~E(x19791,x19792)+E(f709(x19793,x19794,x19795,x19796,x19797,x19798,x19799,x19791),f709(x19793,x19794,x19795,x19796,x19797,x19798,x19799,x19792))
% 190.77/190.69 [1980]~E(x19801,x19802)+E(f335(x19801,x19803,x19804),f335(x19802,x19803,x19804))
% 190.77/190.69 [1981]~E(x19811,x19812)+E(f335(x19813,x19811,x19814),f335(x19813,x19812,x19814))
% 190.77/190.69 [1982]~E(x19821,x19822)+E(f335(x19823,x19824,x19821),f335(x19823,x19824,x19822))
% 190.77/190.69 [1983]~E(x19831,x19832)+E(f650(x19831,x19833,x19834),f650(x19832,x19833,x19834))
% 190.77/190.69 [1984]~E(x19841,x19842)+E(f650(x19843,x19841,x19844),f650(x19843,x19842,x19844))
% 190.77/190.69 [1985]~E(x19851,x19852)+E(f650(x19853,x19854,x19851),f650(x19853,x19854,x19852))
% 190.77/190.69 [1986]~E(x19861,x19862)+E(f667(x19861,x19863,x19864),f667(x19862,x19863,x19864))
% 190.77/190.69 [1987]~E(x19871,x19872)+E(f667(x19873,x19871,x19874),f667(x19873,x19872,x19874))
% 190.77/190.69 [1988]~E(x19881,x19882)+E(f667(x19883,x19884,x19881),f667(x19883,x19884,x19882))
% 190.77/190.69 [1989]~E(x19891,x19892)+E(f17(x19891,x19893,x19894,x19895),f17(x19892,x19893,x19894,x19895))
% 190.77/190.69 [1990]~E(x19901,x19902)+E(f17(x19903,x19901,x19904,x19905),f17(x19903,x19902,x19904,x19905))
% 190.77/190.69 [1991]~E(x19911,x19912)+E(f17(x19913,x19914,x19911,x19915),f17(x19913,x19914,x19912,x19915))
% 190.77/190.69 [1992]~E(x19921,x19922)+E(f17(x19923,x19924,x19925,x19921),f17(x19923,x19924,x19925,x19922))
% 190.77/190.69 [1993]~E(x19931,x19932)+E(f659(x19931,x19933,x19934,x19935,x19936),f659(x19932,x19933,x19934,x19935,x19936))
% 190.77/190.69 [1994]~E(x19941,x19942)+E(f659(x19943,x19941,x19944,x19945,x19946),f659(x19943,x19942,x19944,x19945,x19946))
% 190.77/190.69 [1995]~E(x19951,x19952)+E(f659(x19953,x19954,x19951,x19955,x19956),f659(x19953,x19954,x19952,x19955,x19956))
% 190.77/190.69 [1996]~E(x19961,x19962)+E(f659(x19963,x19964,x19965,x19961,x19966),f659(x19963,x19964,x19965,x19962,x19966))
% 190.77/190.69 [1997]~E(x19971,x19972)+E(f659(x19973,x19974,x19975,x19976,x19971),f659(x19973,x19974,x19975,x19976,x19972))
% 190.77/190.69 [1998]~E(x19981,x19982)+E(f607(x19981,x19983,x19984,x19985),f607(x19982,x19983,x19984,x19985))
% 190.77/190.69 [1999]~E(x19991,x19992)+E(f607(x19993,x19991,x19994,x19995),f607(x19993,x19992,x19994,x19995))
% 190.77/190.69 [2000]~E(x20001,x20002)+E(f607(x20003,x20004,x20001,x20005),f607(x20003,x20004,x20002,x20005))
% 190.77/190.69 [2001]~E(x20011,x20012)+E(f607(x20013,x20014,x20015,x20011),f607(x20013,x20014,x20015,x20012))
% 190.77/190.69 [2002]~E(x20021,x20022)+E(f375(x20021,x20023),f375(x20022,x20023))
% 190.77/190.69 [2003]~E(x20031,x20032)+E(f375(x20033,x20031),f375(x20033,x20032))
% 190.77/190.69 [2004]~E(x20041,x20042)+E(f516(x20041,x20043,x20044,x20045),f516(x20042,x20043,x20044,x20045))
% 190.77/190.69 [2005]~E(x20051,x20052)+E(f516(x20053,x20051,x20054,x20055),f516(x20053,x20052,x20054,x20055))
% 190.77/190.69 [2006]~E(x20061,x20062)+E(f516(x20063,x20064,x20061,x20065),f516(x20063,x20064,x20062,x20065))
% 190.77/190.69 [2007]~E(x20071,x20072)+E(f516(x20073,x20074,x20075,x20071),f516(x20073,x20074,x20075,x20072))
% 190.77/190.69 [2008]~E(x20081,x20082)+E(f190(x20081),f190(x20082))
% 190.77/190.69 [2009]~E(x20091,x20092)+E(f470(x20091,x20093,x20094),f470(x20092,x20093,x20094))
% 190.77/190.69 [2010]~E(x20101,x20102)+E(f470(x20103,x20101,x20104),f470(x20103,x20102,x20104))
% 190.77/190.69 [2011]~E(x20111,x20112)+E(f470(x20113,x20114,x20111),f470(x20113,x20114,x20112))
% 190.77/190.69 [2012]~E(x20121,x20122)+E(f337(x20121,x20123),f337(x20122,x20123))
% 190.77/190.69 [2013]~E(x20131,x20132)+E(f337(x20133,x20131),f337(x20133,x20132))
% 190.77/190.69 [2014]~E(x20141,x20142)+E(f358(x20141,x20143,x20144,x20145),f358(x20142,x20143,x20144,x20145))
% 190.77/190.69 [2015]~E(x20151,x20152)+E(f358(x20153,x20151,x20154,x20155),f358(x20153,x20152,x20154,x20155))
% 190.77/190.69 [2016]~E(x20161,x20162)+E(f358(x20163,x20164,x20161,x20165),f358(x20163,x20164,x20162,x20165))
% 190.77/190.69 [2017]~E(x20171,x20172)+E(f358(x20173,x20174,x20175,x20171),f358(x20173,x20174,x20175,x20172))
% 190.77/190.69 [2018]~E(x20181,x20182)+E(f699(x20181,x20183,x20184),f699(x20182,x20183,x20184))
% 190.77/190.69 [2019]~E(x20191,x20192)+E(f699(x20193,x20191,x20194),f699(x20193,x20192,x20194))
% 190.77/190.69 [2020]~E(x20201,x20202)+E(f699(x20203,x20204,x20201),f699(x20203,x20204,x20202))
% 190.77/190.69 [2021]~E(x20211,x20212)+E(f746(x20211,x20213,x20214),f746(x20212,x20213,x20214))
% 190.77/190.69 [2022]~E(x20221,x20222)+E(f746(x20223,x20221,x20224),f746(x20223,x20222,x20224))
% 190.77/190.69 [2023]~E(x20231,x20232)+E(f746(x20233,x20234,x20231),f746(x20233,x20234,x20232))
% 190.77/190.69 [2024]~E(x20241,x20242)+E(f324(x20241,x20243,x20244,x20245),f324(x20242,x20243,x20244,x20245))
% 190.77/190.69 [2025]~E(x20251,x20252)+E(f324(x20253,x20251,x20254,x20255),f324(x20253,x20252,x20254,x20255))
% 190.77/190.69 [2026]~E(x20261,x20262)+E(f324(x20263,x20264,x20261,x20265),f324(x20263,x20264,x20262,x20265))
% 190.77/190.69 [2027]~E(x20271,x20272)+E(f324(x20273,x20274,x20275,x20271),f324(x20273,x20274,x20275,x20272))
% 190.77/190.69 [2028]~E(x20281,x20282)+E(f741(x20281,x20283,x20284),f741(x20282,x20283,x20284))
% 190.77/190.69 [2029]~E(x20291,x20292)+E(f741(x20293,x20291,x20294),f741(x20293,x20292,x20294))
% 190.77/190.69 [2030]~E(x20301,x20302)+E(f741(x20303,x20304,x20301),f741(x20303,x20304,x20302))
% 190.77/190.69 [2031]~E(x20311,x20312)+E(f40(x20311),f40(x20312))
% 190.77/190.69 [2032]~E(x20321,x20322)+E(f598(x20321,x20323,x20324),f598(x20322,x20323,x20324))
% 190.77/190.69 [2033]~E(x20331,x20332)+E(f598(x20333,x20331,x20334),f598(x20333,x20332,x20334))
% 190.77/190.69 [2034]~E(x20341,x20342)+E(f598(x20343,x20344,x20341),f598(x20343,x20344,x20342))
% 190.77/190.69 [2035]~E(x20351,x20352)+E(f429(x20351,x20353,x20354,x20355,x20356),f429(x20352,x20353,x20354,x20355,x20356))
% 190.77/190.69 [2036]~E(x20361,x20362)+E(f429(x20363,x20361,x20364,x20365,x20366),f429(x20363,x20362,x20364,x20365,x20366))
% 190.77/190.69 [2037]~E(x20371,x20372)+E(f429(x20373,x20374,x20371,x20375,x20376),f429(x20373,x20374,x20372,x20375,x20376))
% 190.77/190.69 [2038]~E(x20381,x20382)+E(f429(x20383,x20384,x20385,x20381,x20386),f429(x20383,x20384,x20385,x20382,x20386))
% 190.77/190.69 [2039]~E(x20391,x20392)+E(f429(x20393,x20394,x20395,x20396,x20391),f429(x20393,x20394,x20395,x20396,x20392))
% 190.77/190.69 [2040]~E(x20401,x20402)+E(f734(x20401,x20403,x20404),f734(x20402,x20403,x20404))
% 190.77/190.69 [2041]~E(x20411,x20412)+E(f734(x20413,x20411,x20414),f734(x20413,x20412,x20414))
% 190.77/190.69 [2042]~E(x20421,x20422)+E(f734(x20423,x20424,x20421),f734(x20423,x20424,x20422))
% 190.77/190.69 [2043]~E(x20431,x20432)+E(f357(x20431,x20433,x20434),f357(x20432,x20433,x20434))
% 190.77/190.69 [2044]~E(x20441,x20442)+E(f357(x20443,x20441,x20444),f357(x20443,x20442,x20444))
% 190.77/190.69 [2045]~E(x20451,x20452)+E(f357(x20453,x20454,x20451),f357(x20453,x20454,x20452))
% 190.77/190.69 [2046]~E(x20461,x20462)+E(f750(x20461,x20463,x20464),f750(x20462,x20463,x20464))
% 190.77/190.69 [2047]~E(x20471,x20472)+E(f750(x20473,x20471,x20474),f750(x20473,x20472,x20474))
% 190.77/190.69 [2048]~E(x20481,x20482)+E(f750(x20483,x20484,x20481),f750(x20483,x20484,x20482))
% 190.77/190.69 [2049]~E(x20491,x20492)+E(f672(x20491,x20493,x20494,x20495,x20496),f672(x20492,x20493,x20494,x20495,x20496))
% 190.77/190.69 [2050]~E(x20501,x20502)+E(f672(x20503,x20501,x20504,x20505,x20506),f672(x20503,x20502,x20504,x20505,x20506))
% 190.77/190.69 [2051]~E(x20511,x20512)+E(f672(x20513,x20514,x20511,x20515,x20516),f672(x20513,x20514,x20512,x20515,x20516))
% 190.77/190.69 [2052]~E(x20521,x20522)+E(f672(x20523,x20524,x20525,x20521,x20526),f672(x20523,x20524,x20525,x20522,x20526))
% 190.77/190.69 [2053]~E(x20531,x20532)+E(f672(x20533,x20534,x20535,x20536,x20531),f672(x20533,x20534,x20535,x20536,x20532))
% 190.77/190.69 [2054]~E(x20541,x20542)+E(f770(x20541,x20543),f770(x20542,x20543))
% 190.77/190.69 [2055]~E(x20551,x20552)+E(f770(x20553,x20551),f770(x20553,x20552))
% 190.77/190.69 [2056]~E(x20561,x20562)+E(f788(x20561,x20563),f788(x20562,x20563))
% 190.77/190.69 [2057]~E(x20571,x20572)+E(f788(x20573,x20571),f788(x20573,x20572))
% 190.77/190.69 [2058]~E(x20581,x20582)+E(f379(x20581,x20583,x20584),f379(x20582,x20583,x20584))
% 190.77/190.69 [2059]~E(x20591,x20592)+E(f379(x20593,x20591,x20594),f379(x20593,x20592,x20594))
% 190.77/190.69 [2060]~E(x20601,x20602)+E(f379(x20603,x20604,x20601),f379(x20603,x20604,x20602))
% 190.77/190.69 [2061]~E(x20611,x20612)+E(f603(x20611,x20613,x20614,x20615),f603(x20612,x20613,x20614,x20615))
% 190.77/190.69 [2062]~E(x20621,x20622)+E(f603(x20623,x20621,x20624,x20625),f603(x20623,x20622,x20624,x20625))
% 190.77/190.69 [2063]~E(x20631,x20632)+E(f603(x20633,x20634,x20631,x20635),f603(x20633,x20634,x20632,x20635))
% 190.77/190.69 [2064]~E(x20641,x20642)+E(f603(x20643,x20644,x20645,x20641),f603(x20643,x20644,x20645,x20642))
% 190.77/190.69 [2065]~E(x20651,x20652)+E(f774(x20651),f774(x20652))
% 190.77/190.69 [2066]~E(x20661,x20662)+E(f671(x20661,x20663,x20664,x20665,x20666),f671(x20662,x20663,x20664,x20665,x20666))
% 190.77/190.69 [2067]~E(x20671,x20672)+E(f671(x20673,x20671,x20674,x20675,x20676),f671(x20673,x20672,x20674,x20675,x20676))
% 190.77/190.69 [2068]~E(x20681,x20682)+E(f671(x20683,x20684,x20681,x20685,x20686),f671(x20683,x20684,x20682,x20685,x20686))
% 190.77/190.69 [2069]~E(x20691,x20692)+E(f671(x20693,x20694,x20695,x20691,x20696),f671(x20693,x20694,x20695,x20692,x20696))
% 190.77/190.69 [2070]~E(x20701,x20702)+E(f671(x20703,x20704,x20705,x20706,x20701),f671(x20703,x20704,x20705,x20706,x20702))
% 190.77/190.69 [2071]~E(x20711,x20712)+E(f533(x20711),f533(x20712))
% 190.77/190.69 [2072]~E(x20721,x20722)+E(f874(x20721,x20723,x20724),f874(x20722,x20723,x20724))
% 190.77/190.69 [2073]~E(x20731,x20732)+E(f874(x20733,x20731,x20734),f874(x20733,x20732,x20734))
% 190.77/190.69 [2074]~E(x20741,x20742)+E(f874(x20743,x20744,x20741),f874(x20743,x20744,x20742))
% 190.77/190.69 [2075]~E(x20751,x20752)+E(f677(x20751,x20753,x20754,x20755,x20756),f677(x20752,x20753,x20754,x20755,x20756))
% 190.77/190.69 [2076]~E(x20761,x20762)+E(f677(x20763,x20761,x20764,x20765,x20766),f677(x20763,x20762,x20764,x20765,x20766))
% 190.77/190.69 [2077]~E(x20771,x20772)+E(f677(x20773,x20774,x20771,x20775,x20776),f677(x20773,x20774,x20772,x20775,x20776))
% 190.77/190.69 [2078]~E(x20781,x20782)+E(f677(x20783,x20784,x20785,x20781,x20786),f677(x20783,x20784,x20785,x20782,x20786))
% 190.77/190.69 [2079]~E(x20791,x20792)+E(f677(x20793,x20794,x20795,x20796,x20791),f677(x20793,x20794,x20795,x20796,x20792))
% 190.77/190.69 [2080]~E(x20801,x20802)+E(f556(x20801,x20803),f556(x20802,x20803))
% 190.77/190.69 [2081]~E(x20811,x20812)+E(f556(x20813,x20811),f556(x20813,x20812))
% 190.77/190.69 [2082]~E(x20821,x20822)+E(f360(x20821,x20823,x20824),f360(x20822,x20823,x20824))
% 190.77/190.69 [2083]~E(x20831,x20832)+E(f360(x20833,x20831,x20834),f360(x20833,x20832,x20834))
% 190.77/190.69 [2084]~E(x20841,x20842)+E(f360(x20843,x20844,x20841),f360(x20843,x20844,x20842))
% 190.77/190.69 [2085]~E(x20851,x20852)+E(f566(x20851,x20853,x20854,x20855,x20856),f566(x20852,x20853,x20854,x20855,x20856))
% 190.77/190.69 [2086]~E(x20861,x20862)+E(f566(x20863,x20861,x20864,x20865,x20866),f566(x20863,x20862,x20864,x20865,x20866))
% 190.77/190.69 [2087]~E(x20871,x20872)+E(f566(x20873,x20874,x20871,x20875,x20876),f566(x20873,x20874,x20872,x20875,x20876))
% 190.77/190.69 [2088]~E(x20881,x20882)+E(f566(x20883,x20884,x20885,x20881,x20886),f566(x20883,x20884,x20885,x20882,x20886))
% 190.77/190.69 [2089]~E(x20891,x20892)+E(f566(x20893,x20894,x20895,x20896,x20891),f566(x20893,x20894,x20895,x20896,x20892))
% 190.77/190.69 [2090]~E(x20901,x20902)+E(f663(x20901,x20903,x20904,x20905),f663(x20902,x20903,x20904,x20905))
% 190.77/190.69 [2091]~E(x20911,x20912)+E(f663(x20913,x20911,x20914,x20915),f663(x20913,x20912,x20914,x20915))
% 190.77/190.69 [2092]~E(x20921,x20922)+E(f663(x20923,x20924,x20921,x20925),f663(x20923,x20924,x20922,x20925))
% 190.77/190.69 [2093]~E(x20931,x20932)+E(f663(x20933,x20934,x20935,x20931),f663(x20933,x20934,x20935,x20932))
% 190.77/190.69 [2094]~E(x20941,x20942)+E(f717(x20941,x20943),f717(x20942,x20943))
% 190.77/190.69 [2095]~E(x20951,x20952)+E(f717(x20953,x20951),f717(x20953,x20952))
% 190.77/190.69 [2096]~E(x20961,x20962)+E(f771(x20961,x20963,x20964,x20965),f771(x20962,x20963,x20964,x20965))
% 190.77/190.69 [2097]~E(x20971,x20972)+E(f771(x20973,x20971,x20974,x20975),f771(x20973,x20972,x20974,x20975))
% 190.77/190.69 [2098]~E(x20981,x20982)+E(f771(x20983,x20984,x20981,x20985),f771(x20983,x20984,x20982,x20985))
% 190.77/190.69 [2099]~E(x20991,x20992)+E(f771(x20993,x20994,x20995,x20991),f771(x20993,x20994,x20995,x20992))
% 190.77/190.69 [2100]~E(x21001,x21002)+E(f690(x21001,x21003,x21004),f690(x21002,x21003,x21004))
% 190.77/190.69 [2101]~E(x21011,x21012)+E(f690(x21013,x21011,x21014),f690(x21013,x21012,x21014))
% 190.77/190.69 [2102]~E(x21021,x21022)+E(f690(x21023,x21024,x21021),f690(x21023,x21024,x21022))
% 190.77/190.69 [2103]~E(x21031,x21032)+E(f622(x21031,x21033,x21034,x21035,x21036,x21037),f622(x21032,x21033,x21034,x21035,x21036,x21037))
% 190.77/190.69 [2104]~E(x21041,x21042)+E(f622(x21043,x21041,x21044,x21045,x21046,x21047),f622(x21043,x21042,x21044,x21045,x21046,x21047))
% 190.77/190.69 [2105]~E(x21051,x21052)+E(f622(x21053,x21054,x21051,x21055,x21056,x21057),f622(x21053,x21054,x21052,x21055,x21056,x21057))
% 190.77/190.69 [2106]~E(x21061,x21062)+E(f622(x21063,x21064,x21065,x21061,x21066,x21067),f622(x21063,x21064,x21065,x21062,x21066,x21067))
% 190.77/190.69 [2107]~E(x21071,x21072)+E(f622(x21073,x21074,x21075,x21076,x21071,x21077),f622(x21073,x21074,x21075,x21076,x21072,x21077))
% 190.77/190.69 [2108]~E(x21081,x21082)+E(f622(x21083,x21084,x21085,x21086,x21087,x21081),f622(x21083,x21084,x21085,x21086,x21087,x21082))
% 190.77/190.69 [2109]~E(x21091,x21092)+E(f423(x21091,x21093,x21094,x21095,x21096),f423(x21092,x21093,x21094,x21095,x21096))
% 190.77/190.69 [2110]~E(x21101,x21102)+E(f423(x21103,x21101,x21104,x21105,x21106),f423(x21103,x21102,x21104,x21105,x21106))
% 190.77/190.69 [2111]~E(x21111,x21112)+E(f423(x21113,x21114,x21111,x21115,x21116),f423(x21113,x21114,x21112,x21115,x21116))
% 190.77/190.69 [2112]~E(x21121,x21122)+E(f423(x21123,x21124,x21125,x21121,x21126),f423(x21123,x21124,x21125,x21122,x21126))
% 190.77/190.69 [2113]~E(x21131,x21132)+E(f423(x21133,x21134,x21135,x21136,x21131),f423(x21133,x21134,x21135,x21136,x21132))
% 190.77/190.69 [2114]~E(x21141,x21142)+E(f751(x21141,x21143,x21144),f751(x21142,x21143,x21144))
% 190.77/190.69 [2115]~E(x21151,x21152)+E(f751(x21153,x21151,x21154),f751(x21153,x21152,x21154))
% 190.77/190.69 [2116]~E(x21161,x21162)+E(f751(x21163,x21164,x21161),f751(x21163,x21164,x21162))
% 190.77/190.69 [2117]~E(x21171,x21172)+E(f520(x21171,x21173,x21174),f520(x21172,x21173,x21174))
% 190.77/190.69 [2118]~E(x21181,x21182)+E(f520(x21183,x21181,x21184),f520(x21183,x21182,x21184))
% 190.77/190.69 [2119]~E(x21191,x21192)+E(f520(x21193,x21194,x21191),f520(x21193,x21194,x21192))
% 190.77/190.69 [2120]~E(x21201,x21202)+E(f740(x21201,x21203,x21204),f740(x21202,x21203,x21204))
% 190.77/190.69 [2121]~E(x21211,x21212)+E(f740(x21213,x21211,x21214),f740(x21213,x21212,x21214))
% 190.77/190.69 [2122]~E(x21221,x21222)+E(f740(x21223,x21224,x21221),f740(x21223,x21224,x21222))
% 190.77/190.69 [2123]~E(x21231,x21232)+E(f600(x21231,x21233,x21234),f600(x21232,x21233,x21234))
% 190.77/190.69 [2124]~E(x21241,x21242)+E(f600(x21243,x21241,x21244),f600(x21243,x21242,x21244))
% 190.77/190.69 [2125]~E(x21251,x21252)+E(f600(x21253,x21254,x21251),f600(x21253,x21254,x21252))
% 190.77/190.69 [2126]~E(x21261,x21262)+E(f696(x21261,x21263,x21264,x21265,x21266),f696(x21262,x21263,x21264,x21265,x21266))
% 190.77/190.69 [2127]~E(x21271,x21272)+E(f696(x21273,x21271,x21274,x21275,x21276),f696(x21273,x21272,x21274,x21275,x21276))
% 190.77/190.69 [2128]~E(x21281,x21282)+E(f696(x21283,x21284,x21281,x21285,x21286),f696(x21283,x21284,x21282,x21285,x21286))
% 190.77/190.69 [2129]~E(x21291,x21292)+E(f696(x21293,x21294,x21295,x21291,x21296),f696(x21293,x21294,x21295,x21292,x21296))
% 190.77/190.69 [2130]~E(x21301,x21302)+E(f696(x21303,x21304,x21305,x21306,x21301),f696(x21303,x21304,x21305,x21306,x21302))
% 190.77/190.69 [2131]~E(x21311,x21312)+E(f170(x21311),f170(x21312))
% 190.77/190.69 [2132]~E(x21321,x21322)+E(f654(x21321,x21323,x21324),f654(x21322,x21323,x21324))
% 190.77/190.69 [2133]~E(x21331,x21332)+E(f654(x21333,x21331,x21334),f654(x21333,x21332,x21334))
% 190.77/190.69 [2134]~E(x21341,x21342)+E(f654(x21343,x21344,x21341),f654(x21343,x21344,x21342))
% 190.77/190.69 [2135]~E(x21351,x21352)+E(f589(x21351,x21353),f589(x21352,x21353))
% 190.77/190.69 [2136]~E(x21361,x21362)+E(f589(x21363,x21361),f589(x21363,x21362))
% 190.77/190.69 [2137]~E(x21371,x21372)+E(f521(x21371,x21373,x21374),f521(x21372,x21373,x21374))
% 190.77/190.69 [2138]~E(x21381,x21382)+E(f521(x21383,x21381,x21384),f521(x21383,x21382,x21384))
% 190.77/190.69 [2139]~E(x21391,x21392)+E(f521(x21393,x21394,x21391),f521(x21393,x21394,x21392))
% 190.77/190.69 [2140]~E(x21401,x21402)+E(f208(x21401,x21403),f208(x21402,x21403))
% 190.77/190.69 [2141]~E(x21411,x21412)+E(f208(x21413,x21411),f208(x21413,x21412))
% 190.77/190.69 [2142]~E(x21421,x21422)+E(f498(x21421,x21423),f498(x21422,x21423))
% 190.77/190.69 [2143]~E(x21431,x21432)+E(f498(x21433,x21431),f498(x21433,x21432))
% 190.77/190.69 [2144]~E(x21441,x21442)+E(f365(x21441,x21443,x21444,x21445),f365(x21442,x21443,x21444,x21445))
% 190.77/190.69 [2145]~E(x21451,x21452)+E(f365(x21453,x21451,x21454,x21455),f365(x21453,x21452,x21454,x21455))
% 190.77/190.69 [2146]~E(x21461,x21462)+E(f365(x21463,x21464,x21461,x21465),f365(x21463,x21464,x21462,x21465))
% 190.77/190.69 [2147]~E(x21471,x21472)+E(f365(x21473,x21474,x21475,x21471),f365(x21473,x21474,x21475,x21472))
% 190.77/190.69 [2148]~E(x21481,x21482)+E(f413(x21481,x21483,x21484,x21485,x21486),f413(x21482,x21483,x21484,x21485,x21486))
% 190.77/190.69 [2149]~E(x21491,x21492)+E(f413(x21493,x21491,x21494,x21495,x21496),f413(x21493,x21492,x21494,x21495,x21496))
% 190.77/190.69 [2150]~E(x21501,x21502)+E(f413(x21503,x21504,x21501,x21505,x21506),f413(x21503,x21504,x21502,x21505,x21506))
% 190.77/190.69 [2151]~E(x21511,x21512)+E(f413(x21513,x21514,x21515,x21511,x21516),f413(x21513,x21514,x21515,x21512,x21516))
% 190.77/190.69 [2152]~E(x21521,x21522)+E(f413(x21523,x21524,x21525,x21526,x21521),f413(x21523,x21524,x21525,x21526,x21522))
% 190.77/190.69 [2153]~E(x21531,x21532)+E(f592(x21531,x21533,x21534),f592(x21532,x21533,x21534))
% 190.77/190.69 [2154]~E(x21541,x21542)+E(f592(x21543,x21541,x21544),f592(x21543,x21542,x21544))
% 190.77/190.69 [2155]~E(x21551,x21552)+E(f592(x21553,x21554,x21551),f592(x21553,x21554,x21552))
% 190.77/190.69 [2156]~E(x21561,x21562)+E(f638(x21561,x21563,x21564),f638(x21562,x21563,x21564))
% 190.77/190.69 [2157]~E(x21571,x21572)+E(f638(x21573,x21571,x21574),f638(x21573,x21572,x21574))
% 190.77/190.69 [2158]~E(x21581,x21582)+E(f638(x21583,x21584,x21581),f638(x21583,x21584,x21582))
% 190.77/190.69 [2159]~E(x21591,x21592)+E(f288(x21591,x21593,x21594),f288(x21592,x21593,x21594))
% 190.77/190.69 [2160]~E(x21601,x21602)+E(f288(x21603,x21601,x21604),f288(x21603,x21602,x21604))
% 190.77/190.69 [2161]~E(x21611,x21612)+E(f288(x21613,x21614,x21611),f288(x21613,x21614,x21612))
% 190.77/190.69 [2162]~E(x21621,x21622)+E(f852(x21621,x21623,x21624),f852(x21622,x21623,x21624))
% 190.77/190.69 [2163]~E(x21631,x21632)+E(f852(x21633,x21631,x21634),f852(x21633,x21632,x21634))
% 190.77/190.69 [2164]~E(x21641,x21642)+E(f852(x21643,x21644,x21641),f852(x21643,x21644,x21642))
% 190.77/190.69 [2165]~E(x21651,x21652)+E(f830(x21651,x21653,x21654,x21655,x21656,x21657),f830(x21652,x21653,x21654,x21655,x21656,x21657))
% 190.77/190.69 [2166]~E(x21661,x21662)+E(f830(x21663,x21661,x21664,x21665,x21666,x21667),f830(x21663,x21662,x21664,x21665,x21666,x21667))
% 190.77/190.69 [2167]~E(x21671,x21672)+E(f830(x21673,x21674,x21671,x21675,x21676,x21677),f830(x21673,x21674,x21672,x21675,x21676,x21677))
% 190.77/190.69 [2168]~E(x21681,x21682)+E(f830(x21683,x21684,x21685,x21681,x21686,x21687),f830(x21683,x21684,x21685,x21682,x21686,x21687))
% 190.77/190.69 [2169]~E(x21691,x21692)+E(f830(x21693,x21694,x21695,x21696,x21691,x21697),f830(x21693,x21694,x21695,x21696,x21692,x21697))
% 190.77/190.69 [2170]~E(x21701,x21702)+E(f830(x21703,x21704,x21705,x21706,x21707,x21701),f830(x21703,x21704,x21705,x21706,x21707,x21702))
% 190.77/190.69 [2171]~E(x21711,x21712)+E(f285(x21711,x21713,x21714),f285(x21712,x21713,x21714))
% 190.77/190.69 [2172]~E(x21721,x21722)+E(f285(x21723,x21721,x21724),f285(x21723,x21722,x21724))
% 190.77/190.69 [2173]~E(x21731,x21732)+E(f285(x21733,x21734,x21731),f285(x21733,x21734,x21732))
% 190.77/190.69 [2174]~E(x21741,x21742)+E(f681(x21741,x21743,x21744),f681(x21742,x21743,x21744))
% 190.77/190.69 [2175]~E(x21751,x21752)+E(f681(x21753,x21751,x21754),f681(x21753,x21752,x21754))
% 190.77/190.69 [2176]~E(x21761,x21762)+E(f681(x21763,x21764,x21761),f681(x21763,x21764,x21762))
% 190.77/190.69 [2177]~E(x21771,x21772)+E(f356(x21771,x21773,x21774),f356(x21772,x21773,x21774))
% 190.77/190.69 [2178]~E(x21781,x21782)+E(f356(x21783,x21781,x21784),f356(x21783,x21782,x21784))
% 190.77/190.69 [2179]~E(x21791,x21792)+E(f356(x21793,x21794,x21791),f356(x21793,x21794,x21792))
% 190.77/190.69 [2180]~E(x21801,x21802)+E(f573(x21801,x21803,x21804,x21805,x21806),f573(x21802,x21803,x21804,x21805,x21806))
% 190.77/190.69 [2181]~E(x21811,x21812)+E(f573(x21813,x21811,x21814,x21815,x21816),f573(x21813,x21812,x21814,x21815,x21816))
% 190.77/190.69 [2182]~E(x21821,x21822)+E(f573(x21823,x21824,x21821,x21825,x21826),f573(x21823,x21824,x21822,x21825,x21826))
% 190.77/190.69 [2183]~E(x21831,x21832)+E(f573(x21833,x21834,x21835,x21831,x21836),f573(x21833,x21834,x21835,x21832,x21836))
% 190.77/190.69 [2184]~E(x21841,x21842)+E(f573(x21843,x21844,x21845,x21846,x21841),f573(x21843,x21844,x21845,x21846,x21842))
% 190.77/190.69 [2185]~E(x21851,x21852)+E(f389(x21851,x21853,x21854),f389(x21852,x21853,x21854))
% 190.77/190.69 [2186]~E(x21861,x21862)+E(f389(x21863,x21861,x21864),f389(x21863,x21862,x21864))
% 190.77/190.69 [2187]~E(x21871,x21872)+E(f389(x21873,x21874,x21871),f389(x21873,x21874,x21872))
% 190.77/190.69 [2188]~E(x21881,x21882)+E(f587(x21881,x21883,x21884,x21885,x21886,x21887,x21888),f587(x21882,x21883,x21884,x21885,x21886,x21887,x21888))
% 190.77/190.69 [2189]~E(x21891,x21892)+E(f587(x21893,x21891,x21894,x21895,x21896,x21897,x21898),f587(x21893,x21892,x21894,x21895,x21896,x21897,x21898))
% 190.77/190.69 [2190]~E(x21901,x21902)+E(f587(x21903,x21904,x21901,x21905,x21906,x21907,x21908),f587(x21903,x21904,x21902,x21905,x21906,x21907,x21908))
% 190.77/190.69 [2191]~E(x21911,x21912)+E(f587(x21913,x21914,x21915,x21911,x21916,x21917,x21918),f587(x21913,x21914,x21915,x21912,x21916,x21917,x21918))
% 190.77/190.69 [2192]~E(x21921,x21922)+E(f587(x21923,x21924,x21925,x21926,x21921,x21927,x21928),f587(x21923,x21924,x21925,x21926,x21922,x21927,x21928))
% 190.77/190.69 [2193]~E(x21931,x21932)+E(f587(x21933,x21934,x21935,x21936,x21937,x21931,x21938),f587(x21933,x21934,x21935,x21936,x21937,x21932,x21938))
% 190.77/190.69 [2194]~E(x21941,x21942)+E(f587(x21943,x21944,x21945,x21946,x21947,x21948,x21941),f587(x21943,x21944,x21945,x21946,x21947,x21948,x21942))
% 190.77/190.69 [2195]~E(x21951,x21952)+E(f221(x21951,x21953,x21954,x21955),f221(x21952,x21953,x21954,x21955))
% 190.77/190.69 [2196]~E(x21961,x21962)+E(f221(x21963,x21961,x21964,x21965),f221(x21963,x21962,x21964,x21965))
% 190.77/190.69 [2197]~E(x21971,x21972)+E(f221(x21973,x21974,x21971,x21975),f221(x21973,x21974,x21972,x21975))
% 190.77/190.69 [2198]~E(x21981,x21982)+E(f221(x21983,x21984,x21985,x21981),f221(x21983,x21984,x21985,x21982))
% 190.77/190.69 [2199]~E(x21991,x21992)+E(f583(x21991,x21993,x21994,x21995),f583(x21992,x21993,x21994,x21995))
% 190.77/190.69 [2200]~E(x22001,x22002)+E(f583(x22003,x22001,x22004,x22005),f583(x22003,x22002,x22004,x22005))
% 190.77/190.69 [2201]~E(x22011,x22012)+E(f583(x22013,x22014,x22011,x22015),f583(x22013,x22014,x22012,x22015))
% 190.77/190.69 [2202]~E(x22021,x22022)+E(f583(x22023,x22024,x22025,x22021),f583(x22023,x22024,x22025,x22022))
% 190.77/190.69 [2203]~E(x22031,x22032)+E(f702(x22031,x22033),f702(x22032,x22033))
% 190.77/190.69 [2204]~E(x22041,x22042)+E(f702(x22043,x22041),f702(x22043,x22042))
% 190.77/190.69 [2205]~E(x22051,x22052)+E(f19(x22051,x22053,x22054,x22055),f19(x22052,x22053,x22054,x22055))
% 190.77/190.69 [2206]~E(x22061,x22062)+E(f19(x22063,x22061,x22064,x22065),f19(x22063,x22062,x22064,x22065))
% 190.77/190.69 [2207]~E(x22071,x22072)+E(f19(x22073,x22074,x22071,x22075),f19(x22073,x22074,x22072,x22075))
% 190.77/190.69 [2208]~E(x22081,x22082)+E(f19(x22083,x22084,x22085,x22081),f19(x22083,x22084,x22085,x22082))
% 190.77/190.69 [2209]~E(x22091,x22092)+E(f531(x22091,x22093,x22094,x22095,x22096,x22097,x22098,x22099),f531(x22092,x22093,x22094,x22095,x22096,x22097,x22098,x22099))
% 190.77/190.69 [2210]~E(x22101,x22102)+E(f531(x22103,x22101,x22104,x22105,x22106,x22107,x22108,x22109),f531(x22103,x22102,x22104,x22105,x22106,x22107,x22108,x22109))
% 190.77/190.69 [2211]~E(x22111,x22112)+E(f531(x22113,x22114,x22111,x22115,x22116,x22117,x22118,x22119),f531(x22113,x22114,x22112,x22115,x22116,x22117,x22118,x22119))
% 190.77/190.69 [2212]~E(x22121,x22122)+E(f531(x22123,x22124,x22125,x22121,x22126,x22127,x22128,x22129),f531(x22123,x22124,x22125,x22122,x22126,x22127,x22128,x22129))
% 190.77/190.69 [2213]~E(x22131,x22132)+E(f531(x22133,x22134,x22135,x22136,x22131,x22137,x22138,x22139),f531(x22133,x22134,x22135,x22136,x22132,x22137,x22138,x22139))
% 190.77/190.69 [2214]~E(x22141,x22142)+E(f531(x22143,x22144,x22145,x22146,x22147,x22141,x22148,x22149),f531(x22143,x22144,x22145,x22146,x22147,x22142,x22148,x22149))
% 190.77/190.69 [2215]~E(x22151,x22152)+E(f531(x22153,x22154,x22155,x22156,x22157,x22158,x22151,x22159),f531(x22153,x22154,x22155,x22156,x22157,x22158,x22152,x22159))
% 190.77/190.69 [2216]~E(x22161,x22162)+E(f531(x22163,x22164,x22165,x22166,x22167,x22168,x22169,x22161),f531(x22163,x22164,x22165,x22166,x22167,x22168,x22169,x22162))
% 190.77/190.69 [2217]~E(x22171,x22172)+E(f513(x22171,x22173),f513(x22172,x22173))
% 190.77/190.69 [2218]~E(x22181,x22182)+E(f513(x22183,x22181),f513(x22183,x22182))
% 190.77/190.69 [2219]~E(x22191,x22192)+E(f269(x22191,x22193,x22194,x22195),f269(x22192,x22193,x22194,x22195))
% 190.77/190.69 [2220]~E(x22201,x22202)+E(f269(x22203,x22201,x22204,x22205),f269(x22203,x22202,x22204,x22205))
% 190.77/190.69 [2221]~E(x22211,x22212)+E(f269(x22213,x22214,x22211,x22215),f269(x22213,x22214,x22212,x22215))
% 190.77/190.69 [2222]~E(x22221,x22222)+E(f269(x22223,x22224,x22225,x22221),f269(x22223,x22224,x22225,x22222))
% 190.77/190.69 [2223]~E(x22231,x22232)+E(f55(x22231,x22233,x22234,x22235),f55(x22232,x22233,x22234,x22235))
% 190.77/190.69 [2224]~E(x22241,x22242)+E(f55(x22243,x22241,x22244,x22245),f55(x22243,x22242,x22244,x22245))
% 190.77/190.69 [2225]~E(x22251,x22252)+E(f55(x22253,x22254,x22251,x22255),f55(x22253,x22254,x22252,x22255))
% 190.77/190.69 [2226]~E(x22261,x22262)+E(f55(x22263,x22264,x22265,x22261),f55(x22263,x22264,x22265,x22262))
% 190.77/190.69 [2227]~E(x22271,x22272)+E(f526(x22271,x22273,x22274,x22275,x22276,x22277),f526(x22272,x22273,x22274,x22275,x22276,x22277))
% 190.77/190.69 [2228]~E(x22281,x22282)+E(f526(x22283,x22281,x22284,x22285,x22286,x22287),f526(x22283,x22282,x22284,x22285,x22286,x22287))
% 190.77/190.69 [2229]~E(x22291,x22292)+E(f526(x22293,x22294,x22291,x22295,x22296,x22297),f526(x22293,x22294,x22292,x22295,x22296,x22297))
% 190.77/190.69 [2230]~E(x22301,x22302)+E(f526(x22303,x22304,x22305,x22301,x22306,x22307),f526(x22303,x22304,x22305,x22302,x22306,x22307))
% 190.77/190.69 [2231]~E(x22311,x22312)+E(f526(x22313,x22314,x22315,x22316,x22311,x22317),f526(x22313,x22314,x22315,x22316,x22312,x22317))
% 190.77/190.69 [2232]~E(x22321,x22322)+E(f526(x22323,x22324,x22325,x22326,x22327,x22321),f526(x22323,x22324,x22325,x22326,x22327,x22322))
% 190.77/190.69 [2233]~E(x22331,x22332)+E(f523(x22331,x22333,x22334),f523(x22332,x22333,x22334))
% 190.77/190.69 [2234]~E(x22341,x22342)+E(f523(x22343,x22341,x22344),f523(x22343,x22342,x22344))
% 190.77/190.69 [2235]~E(x22351,x22352)+E(f523(x22353,x22354,x22351),f523(x22353,x22354,x22352))
% 190.77/190.69 [2236]~E(x22361,x22362)+E(f530(x22361,x22363,x22364,x22365,x22366,x22367),f530(x22362,x22363,x22364,x22365,x22366,x22367))
% 190.77/190.69 [2237]~E(x22371,x22372)+E(f530(x22373,x22371,x22374,x22375,x22376,x22377),f530(x22373,x22372,x22374,x22375,x22376,x22377))
% 190.77/190.69 [2238]~E(x22381,x22382)+E(f530(x22383,x22384,x22381,x22385,x22386,x22387),f530(x22383,x22384,x22382,x22385,x22386,x22387))
% 190.77/190.69 [2239]~E(x22391,x22392)+E(f530(x22393,x22394,x22395,x22391,x22396,x22397),f530(x22393,x22394,x22395,x22392,x22396,x22397))
% 190.77/190.69 [2240]~E(x22401,x22402)+E(f530(x22403,x22404,x22405,x22406,x22401,x22407),f530(x22403,x22404,x22405,x22406,x22402,x22407))
% 190.77/190.69 [2241]~E(x22411,x22412)+E(f530(x22413,x22414,x22415,x22416,x22417,x22411),f530(x22413,x22414,x22415,x22416,x22417,x22412))
% 190.77/190.69 [2242]~E(x22421,x22422)+E(f767(x22421,x22423),f767(x22422,x22423))
% 190.77/190.69 [2243]~E(x22431,x22432)+E(f767(x22433,x22431),f767(x22433,x22432))
% 190.77/190.69 [2244]~E(x22441,x22442)+E(f719(x22441,x22443,x22444,x22445),f719(x22442,x22443,x22444,x22445))
% 190.77/190.69 [2245]~E(x22451,x22452)+E(f719(x22453,x22451,x22454,x22455),f719(x22453,x22452,x22454,x22455))
% 190.77/190.69 [2246]~E(x22461,x22462)+E(f719(x22463,x22464,x22461,x22465),f719(x22463,x22464,x22462,x22465))
% 190.77/190.69 [2247]~E(x22471,x22472)+E(f719(x22473,x22474,x22475,x22471),f719(x22473,x22474,x22475,x22472))
% 190.77/190.69 [2248]~E(x22481,x22482)+E(f436(x22481,x22483,x22484,x22485,x22486),f436(x22482,x22483,x22484,x22485,x22486))
% 190.77/190.69 [2249]~E(x22491,x22492)+E(f436(x22493,x22491,x22494,x22495,x22496),f436(x22493,x22492,x22494,x22495,x22496))
% 190.77/190.69 [2250]~E(x22501,x22502)+E(f436(x22503,x22504,x22501,x22505,x22506),f436(x22503,x22504,x22502,x22505,x22506))
% 190.77/190.69 [2251]~E(x22511,x22512)+E(f436(x22513,x22514,x22515,x22511,x22516),f436(x22513,x22514,x22515,x22512,x22516))
% 190.77/190.69 [2252]~E(x22521,x22522)+E(f436(x22523,x22524,x22525,x22526,x22521),f436(x22523,x22524,x22525,x22526,x22522))
% 190.77/190.69 [2253]~E(x22531,x22532)+E(f649(x22531,x22533,x22534),f649(x22532,x22533,x22534))
% 190.77/190.69 [2254]~E(x22541,x22542)+E(f649(x22543,x22541,x22544),f649(x22543,x22542,x22544))
% 190.77/190.69 [2255]~E(x22551,x22552)+E(f649(x22553,x22554,x22551),f649(x22553,x22554,x22552))
% 190.77/190.69 [2256]~E(x22561,x22562)+E(f437(x22561,x22563,x22564,x22565,x22566),f437(x22562,x22563,x22564,x22565,x22566))
% 190.77/190.69 [2257]~E(x22571,x22572)+E(f437(x22573,x22571,x22574,x22575,x22576),f437(x22573,x22572,x22574,x22575,x22576))
% 190.77/190.69 [2258]~E(x22581,x22582)+E(f437(x22583,x22584,x22581,x22585,x22586),f437(x22583,x22584,x22582,x22585,x22586))
% 190.77/190.69 [2259]~E(x22591,x22592)+E(f437(x22593,x22594,x22595,x22591,x22596),f437(x22593,x22594,x22595,x22592,x22596))
% 190.77/190.69 [2260]~E(x22601,x22602)+E(f437(x22603,x22604,x22605,x22606,x22601),f437(x22603,x22604,x22605,x22606,x22602))
% 190.77/190.69 [2261]~E(x22611,x22612)+E(f631(x22611,x22613,x22614),f631(x22612,x22613,x22614))
% 190.77/190.69 [2262]~E(x22621,x22622)+E(f631(x22623,x22621,x22624),f631(x22623,x22622,x22624))
% 190.77/190.69 [2263]~E(x22631,x22632)+E(f631(x22633,x22634,x22631),f631(x22633,x22634,x22632))
% 190.77/190.69 [2264]~E(x22641,x22642)+E(f349(x22641,x22643),f349(x22642,x22643))
% 190.77/190.69 [2265]~E(x22651,x22652)+E(f349(x22653,x22651),f349(x22653,x22652))
% 190.77/190.69 [2266]~E(x22661,x22662)+E(f697(x22661,x22663),f697(x22662,x22663))
% 190.77/190.69 [2267]~E(x22671,x22672)+E(f697(x22673,x22671),f697(x22673,x22672))
% 190.77/190.69 [2268]~E(x22681,x22682)+E(f892(x22681,x22683,x22684),f892(x22682,x22683,x22684))
% 190.77/190.69 [2269]~E(x22691,x22692)+E(f892(x22693,x22691,x22694),f892(x22693,x22692,x22694))
% 190.77/190.69 [2270]~E(x22701,x22702)+E(f892(x22703,x22704,x22701),f892(x22703,x22704,x22702))
% 190.77/190.69 [2271]~E(x22711,x22712)+E(f640(x22711,x22713,x22714,x22715),f640(x22712,x22713,x22714,x22715))
% 190.77/190.69 [2272]~E(x22721,x22722)+E(f640(x22723,x22721,x22724,x22725),f640(x22723,x22722,x22724,x22725))
% 190.77/190.69 [2273]~E(x22731,x22732)+E(f640(x22733,x22734,x22731,x22735),f640(x22733,x22734,x22732,x22735))
% 190.77/190.69 [2274]~E(x22741,x22742)+E(f640(x22743,x22744,x22745,x22741),f640(x22743,x22744,x22745,x22742))
% 190.77/190.69 [2275]~E(x22751,x22752)+E(f453(x22751),f453(x22752))
% 190.77/190.69 [2276]~E(x22761,x22762)+E(f188(x22761,x22763,x22764,x22765),f188(x22762,x22763,x22764,x22765))
% 190.77/190.69 [2277]~E(x22771,x22772)+E(f188(x22773,x22771,x22774,x22775),f188(x22773,x22772,x22774,x22775))
% 190.77/190.69 [2278]~E(x22781,x22782)+E(f188(x22783,x22784,x22781,x22785),f188(x22783,x22784,x22782,x22785))
% 190.77/190.69 [2279]~E(x22791,x22792)+E(f188(x22793,x22794,x22795,x22791),f188(x22793,x22794,x22795,x22792))
% 190.77/190.69 [2280]~E(x22801,x22802)+E(f781(x22801,x22803),f781(x22802,x22803))
% 190.77/190.69 [2281]~E(x22811,x22812)+E(f781(x22813,x22811),f781(x22813,x22812))
% 190.77/190.69 [2282]~E(x22821,x22822)+E(f340(x22821,x22823,x22824,x22825,x22826),f340(x22822,x22823,x22824,x22825,x22826))
% 190.77/190.69 [2283]~E(x22831,x22832)+E(f340(x22833,x22831,x22834,x22835,x22836),f340(x22833,x22832,x22834,x22835,x22836))
% 190.77/190.69 [2284]~E(x22841,x22842)+E(f340(x22843,x22844,x22841,x22845,x22846),f340(x22843,x22844,x22842,x22845,x22846))
% 190.77/190.69 [2285]~E(x22851,x22852)+E(f340(x22853,x22854,x22855,x22851,x22856),f340(x22853,x22854,x22855,x22852,x22856))
% 190.77/190.69 [2286]~E(x22861,x22862)+E(f340(x22863,x22864,x22865,x22866,x22861),f340(x22863,x22864,x22865,x22866,x22862))
% 190.77/190.69 [2287]~E(x22871,x22872)+E(f713(x22871,x22873,x22874,x22875,x22876),f713(x22872,x22873,x22874,x22875,x22876))
% 190.77/190.69 [2288]~E(x22881,x22882)+E(f713(x22883,x22881,x22884,x22885,x22886),f713(x22883,x22882,x22884,x22885,x22886))
% 190.77/190.69 [2289]~E(x22891,x22892)+E(f713(x22893,x22894,x22891,x22895,x22896),f713(x22893,x22894,x22892,x22895,x22896))
% 190.77/190.69 [2290]~E(x22901,x22902)+E(f713(x22903,x22904,x22905,x22901,x22906),f713(x22903,x22904,x22905,x22902,x22906))
% 190.77/190.69 [2291]~E(x22911,x22912)+E(f713(x22913,x22914,x22915,x22916,x22911),f713(x22913,x22914,x22915,x22916,x22912))
% 190.77/190.69 [2292]~E(x22921,x22922)+E(f392(x22921,x22923,x22924,x22925,x22926),f392(x22922,x22923,x22924,x22925,x22926))
% 190.77/190.69 [2293]~E(x22931,x22932)+E(f392(x22933,x22931,x22934,x22935,x22936),f392(x22933,x22932,x22934,x22935,x22936))
% 190.77/190.69 [2294]~E(x22941,x22942)+E(f392(x22943,x22944,x22941,x22945,x22946),f392(x22943,x22944,x22942,x22945,x22946))
% 190.77/190.69 [2295]~E(x22951,x22952)+E(f392(x22953,x22954,x22955,x22951,x22956),f392(x22953,x22954,x22955,x22952,x22956))
% 190.77/190.69 [2296]~E(x22961,x22962)+E(f392(x22963,x22964,x22965,x22966,x22961),f392(x22963,x22964,x22965,x22966,x22962))
% 190.77/190.69 [2297]~E(x22971,x22972)+E(f817(x22971,x22973,x22974,x22975,x22976,x22977,x22978,x22979),f817(x22972,x22973,x22974,x22975,x22976,x22977,x22978,x22979))
% 190.77/190.69 [2298]~E(x22981,x22982)+E(f817(x22983,x22981,x22984,x22985,x22986,x22987,x22988,x22989),f817(x22983,x22982,x22984,x22985,x22986,x22987,x22988,x22989))
% 190.77/190.69 [2299]~E(x22991,x22992)+E(f817(x22993,x22994,x22991,x22995,x22996,x22997,x22998,x22999),f817(x22993,x22994,x22992,x22995,x22996,x22997,x22998,x22999))
% 190.77/190.69 [2300]~E(x23001,x23002)+E(f817(x23003,x23004,x23005,x23001,x23006,x23007,x23008,x23009),f817(x23003,x23004,x23005,x23002,x23006,x23007,x23008,x23009))
% 190.77/190.69 [2301]~E(x23011,x23012)+E(f817(x23013,x23014,x23015,x23016,x23011,x23017,x23018,x23019),f817(x23013,x23014,x23015,x23016,x23012,x23017,x23018,x23019))
% 190.77/190.69 [2302]~E(x23021,x23022)+E(f817(x23023,x23024,x23025,x23026,x23027,x23021,x23028,x23029),f817(x23023,x23024,x23025,x23026,x23027,x23022,x23028,x23029))
% 190.77/190.69 [2303]~E(x23031,x23032)+E(f817(x23033,x23034,x23035,x23036,x23037,x23038,x23031,x23039),f817(x23033,x23034,x23035,x23036,x23037,x23038,x23032,x23039))
% 190.77/190.69 [2304]~E(x23041,x23042)+E(f817(x23043,x23044,x23045,x23046,x23047,x23048,x23049,x23041),f817(x23043,x23044,x23045,x23046,x23047,x23048,x23049,x23042))
% 190.77/190.69 [2305]~E(x23051,x23052)+E(f827(x23051,x23053,x23054,x23055,x23056,x23057,x23058,x23059),f827(x23052,x23053,x23054,x23055,x23056,x23057,x23058,x23059))
% 190.77/190.69 [2306]~E(x23061,x23062)+E(f827(x23063,x23061,x23064,x23065,x23066,x23067,x23068,x23069),f827(x23063,x23062,x23064,x23065,x23066,x23067,x23068,x23069))
% 190.77/190.69 [2307]~E(x23071,x23072)+E(f827(x23073,x23074,x23071,x23075,x23076,x23077,x23078,x23079),f827(x23073,x23074,x23072,x23075,x23076,x23077,x23078,x23079))
% 190.77/190.69 [2308]~E(x23081,x23082)+E(f827(x23083,x23084,x23085,x23081,x23086,x23087,x23088,x23089),f827(x23083,x23084,x23085,x23082,x23086,x23087,x23088,x23089))
% 190.77/190.69 [2309]~E(x23091,x23092)+E(f827(x23093,x23094,x23095,x23096,x23091,x23097,x23098,x23099),f827(x23093,x23094,x23095,x23096,x23092,x23097,x23098,x23099))
% 190.77/190.69 [2310]~E(x23101,x23102)+E(f827(x23103,x23104,x23105,x23106,x23107,x23101,x23108,x23109),f827(x23103,x23104,x23105,x23106,x23107,x23102,x23108,x23109))
% 190.77/190.69 [2311]~E(x23111,x23112)+E(f827(x23113,x23114,x23115,x23116,x23117,x23118,x23111,x23119),f827(x23113,x23114,x23115,x23116,x23117,x23118,x23112,x23119))
% 190.77/190.69 [2312]~E(x23121,x23122)+E(f827(x23123,x23124,x23125,x23126,x23127,x23128,x23129,x23121),f827(x23123,x23124,x23125,x23126,x23127,x23128,x23129,x23122))
% 190.77/190.69 [2313]~E(x23131,x23132)+E(f859(x23131,x23133,x23134),f859(x23132,x23133,x23134))
% 190.77/190.69 [2314]~E(x23141,x23142)+E(f859(x23143,x23141,x23144),f859(x23143,x23142,x23144))
% 190.77/190.69 [2315]~E(x23151,x23152)+E(f859(x23153,x23154,x23151),f859(x23153,x23154,x23152))
% 190.77/190.69 [2316]~E(x23161,x23162)+E(f320(x23161,x23163,x23164,x23165),f320(x23162,x23163,x23164,x23165))
% 190.77/190.69 [2317]~E(x23171,x23172)+E(f320(x23173,x23171,x23174,x23175),f320(x23173,x23172,x23174,x23175))
% 190.77/190.69 [2318]~E(x23181,x23182)+E(f320(x23183,x23184,x23181,x23185),f320(x23183,x23184,x23182,x23185))
% 190.77/190.69 [2319]~E(x23191,x23192)+E(f320(x23193,x23194,x23195,x23191),f320(x23193,x23194,x23195,x23192))
% 190.77/190.69 [2320]~E(x23201,x23202)+E(f596(x23201,x23203,x23204,x23205,x23206,x23207,x23208,x23209),f596(x23202,x23203,x23204,x23205,x23206,x23207,x23208,x23209))
% 190.77/190.69 [2321]~E(x23211,x23212)+E(f596(x23213,x23211,x23214,x23215,x23216,x23217,x23218,x23219),f596(x23213,x23212,x23214,x23215,x23216,x23217,x23218,x23219))
% 190.77/190.69 [2322]~E(x23221,x23222)+E(f596(x23223,x23224,x23221,x23225,x23226,x23227,x23228,x23229),f596(x23223,x23224,x23222,x23225,x23226,x23227,x23228,x23229))
% 190.77/190.69 [2323]~E(x23231,x23232)+E(f596(x23233,x23234,x23235,x23231,x23236,x23237,x23238,x23239),f596(x23233,x23234,x23235,x23232,x23236,x23237,x23238,x23239))
% 190.77/190.69 [2324]~E(x23241,x23242)+E(f596(x23243,x23244,x23245,x23246,x23241,x23247,x23248,x23249),f596(x23243,x23244,x23245,x23246,x23242,x23247,x23248,x23249))
% 190.77/190.69 [2325]~E(x23251,x23252)+E(f596(x23253,x23254,x23255,x23256,x23257,x23251,x23258,x23259),f596(x23253,x23254,x23255,x23256,x23257,x23252,x23258,x23259))
% 190.77/190.69 [2326]~E(x23261,x23262)+E(f596(x23263,x23264,x23265,x23266,x23267,x23268,x23261,x23269),f596(x23263,x23264,x23265,x23266,x23267,x23268,x23262,x23269))
% 190.77/190.69 [2327]~E(x23271,x23272)+E(f596(x23273,x23274,x23275,x23276,x23277,x23278,x23279,x23271),f596(x23273,x23274,x23275,x23276,x23277,x23278,x23279,x23272))
% 190.77/190.69 [2328]~E(x23281,x23282)+E(f468(x23281),f468(x23282))
% 190.77/190.69 [2329]~E(x23291,x23292)+E(f503(x23291,x23293,x23294,x23295),f503(x23292,x23293,x23294,x23295))
% 190.77/190.69 [2330]~E(x23301,x23302)+E(f503(x23303,x23301,x23304,x23305),f503(x23303,x23302,x23304,x23305))
% 190.77/190.69 [2331]~E(x23311,x23312)+E(f503(x23313,x23314,x23311,x23315),f503(x23313,x23314,x23312,x23315))
% 190.77/190.69 [2332]~E(x23321,x23322)+E(f503(x23323,x23324,x23325,x23321),f503(x23323,x23324,x23325,x23322))
% 190.77/190.69 [2333]~E(x23331,x23332)+E(f500(x23331,x23333),f500(x23332,x23333))
% 190.77/190.69 [2334]~E(x23341,x23342)+E(f500(x23343,x23341),f500(x23343,x23342))
% 190.77/190.69 [2335]~E(x23351,x23352)+E(f260(x23351,x23353),f260(x23352,x23353))
% 190.77/190.69 [2336]~E(x23361,x23362)+E(f260(x23363,x23361),f260(x23363,x23362))
% 190.77/190.69 [2337]~E(x23371,x23372)+E(f737(x23371,x23373,x23374),f737(x23372,x23373,x23374))
% 190.77/190.69 [2338]~E(x23381,x23382)+E(f737(x23383,x23381,x23384),f737(x23383,x23382,x23384))
% 190.77/190.69 [2339]~E(x23391,x23392)+E(f737(x23393,x23394,x23391),f737(x23393,x23394,x23392))
% 190.77/190.69 [2340]~E(x23401,x23402)+E(f339(x23401,x23403,x23404,x23405,x23406),f339(x23402,x23403,x23404,x23405,x23406))
% 190.77/190.69 [2341]~E(x23411,x23412)+E(f339(x23413,x23411,x23414,x23415,x23416),f339(x23413,x23412,x23414,x23415,x23416))
% 190.77/190.69 [2342]~E(x23421,x23422)+E(f339(x23423,x23424,x23421,x23425,x23426),f339(x23423,x23424,x23422,x23425,x23426))
% 190.77/190.69 [2343]~E(x23431,x23432)+E(f339(x23433,x23434,x23435,x23431,x23436),f339(x23433,x23434,x23435,x23432,x23436))
% 190.77/190.69 [2344]~E(x23441,x23442)+E(f339(x23443,x23444,x23445,x23446,x23441),f339(x23443,x23444,x23445,x23446,x23442))
% 190.77/190.69 [2345]~E(x23451,x23452)+E(f581(x23451,x23453,x23454,x23455),f581(x23452,x23453,x23454,x23455))
% 190.77/190.69 [2346]~E(x23461,x23462)+E(f581(x23463,x23461,x23464,x23465),f581(x23463,x23462,x23464,x23465))
% 190.77/190.69 [2347]~E(x23471,x23472)+E(f581(x23473,x23474,x23471,x23475),f581(x23473,x23474,x23472,x23475))
% 190.77/190.69 [2348]~E(x23481,x23482)+E(f581(x23483,x23484,x23485,x23481),f581(x23483,x23484,x23485,x23482))
% 190.77/190.69 [2349]~E(x23491,x23492)+E(f601(x23491,x23493,x23494),f601(x23492,x23493,x23494))
% 190.77/190.69 [2350]~E(x23501,x23502)+E(f601(x23503,x23501,x23504),f601(x23503,x23502,x23504))
% 190.77/190.69 [2351]~E(x23511,x23512)+E(f601(x23513,x23514,x23511),f601(x23513,x23514,x23512))
% 190.77/190.69 [2352]~E(x23521,x23522)+E(f334(x23521,x23523,x23524,x23525),f334(x23522,x23523,x23524,x23525))
% 190.77/190.69 [2353]~E(x23531,x23532)+E(f334(x23533,x23531,x23534,x23535),f334(x23533,x23532,x23534,x23535))
% 190.77/190.69 [2354]~E(x23541,x23542)+E(f334(x23543,x23544,x23541,x23545),f334(x23543,x23544,x23542,x23545))
% 190.77/190.69 [2355]~E(x23551,x23552)+E(f334(x23553,x23554,x23555,x23551),f334(x23553,x23554,x23555,x23552))
% 190.77/190.69 [2356]~E(x23561,x23562)+E(f805(x23561,x23563,x23564,x23565,x23566),f805(x23562,x23563,x23564,x23565,x23566))
% 190.77/190.69 [2357]~E(x23571,x23572)+E(f805(x23573,x23571,x23574,x23575,x23576),f805(x23573,x23572,x23574,x23575,x23576))
% 190.77/190.69 [2358]~E(x23581,x23582)+E(f805(x23583,x23584,x23581,x23585,x23586),f805(x23583,x23584,x23582,x23585,x23586))
% 190.77/190.69 [2359]~E(x23591,x23592)+E(f805(x23593,x23594,x23595,x23591,x23596),f805(x23593,x23594,x23595,x23592,x23596))
% 190.77/190.69 [2360]~E(x23601,x23602)+E(f805(x23603,x23604,x23605,x23606,x23601),f805(x23603,x23604,x23605,x23606,x23602))
% 190.77/190.69 [2361]~E(x23611,x23612)+E(f574(x23611,x23613,x23614,x23615),f574(x23612,x23613,x23614,x23615))
% 190.77/190.69 [2362]~E(x23621,x23622)+E(f574(x23623,x23621,x23624,x23625),f574(x23623,x23622,x23624,x23625))
% 190.77/190.69 [2363]~E(x23631,x23632)+E(f574(x23633,x23634,x23631,x23635),f574(x23633,x23634,x23632,x23635))
% 190.77/190.69 [2364]~E(x23641,x23642)+E(f574(x23643,x23644,x23645,x23641),f574(x23643,x23644,x23645,x23642))
% 190.77/190.69 [2365]~E(x23651,x23652)+E(f815(x23651,x23653,x23654,x23655,x23656,x23657,x23658),f815(x23652,x23653,x23654,x23655,x23656,x23657,x23658))
% 190.77/190.69 [2366]~E(x23661,x23662)+E(f815(x23663,x23661,x23664,x23665,x23666,x23667,x23668),f815(x23663,x23662,x23664,x23665,x23666,x23667,x23668))
% 190.77/190.69 [2367]~E(x23671,x23672)+E(f815(x23673,x23674,x23671,x23675,x23676,x23677,x23678),f815(x23673,x23674,x23672,x23675,x23676,x23677,x23678))
% 190.77/190.69 [2368]~E(x23681,x23682)+E(f815(x23683,x23684,x23685,x23681,x23686,x23687,x23688),f815(x23683,x23684,x23685,x23682,x23686,x23687,x23688))
% 190.77/190.69 [2369]~E(x23691,x23692)+E(f815(x23693,x23694,x23695,x23696,x23691,x23697,x23698),f815(x23693,x23694,x23695,x23696,x23692,x23697,x23698))
% 190.77/190.69 [2370]~E(x23701,x23702)+E(f815(x23703,x23704,x23705,x23706,x23707,x23701,x23708),f815(x23703,x23704,x23705,x23706,x23707,x23702,x23708))
% 190.77/190.69 [2371]~E(x23711,x23712)+E(f815(x23713,x23714,x23715,x23716,x23717,x23718,x23711),f815(x23713,x23714,x23715,x23716,x23717,x23718,x23712))
% 190.77/190.69 [2372]~E(x23721,x23722)+E(f361(x23721,x23723,x23724),f361(x23722,x23723,x23724))
% 190.77/190.69 [2373]~E(x23731,x23732)+E(f361(x23733,x23731,x23734),f361(x23733,x23732,x23734))
% 190.77/190.69 [2374]~E(x23741,x23742)+E(f361(x23743,x23744,x23741),f361(x23743,x23744,x23742))
% 190.77/190.69 [2375]~E(x23751,x23752)+E(f562(x23751,x23753,x23754,x23755,x23756),f562(x23752,x23753,x23754,x23755,x23756))
% 190.77/190.69 [2376]~E(x23761,x23762)+E(f562(x23763,x23761,x23764,x23765,x23766),f562(x23763,x23762,x23764,x23765,x23766))
% 190.77/190.69 [2377]~E(x23771,x23772)+E(f562(x23773,x23774,x23771,x23775,x23776),f562(x23773,x23774,x23772,x23775,x23776))
% 190.77/190.69 [2378]~E(x23781,x23782)+E(f562(x23783,x23784,x23785,x23781,x23786),f562(x23783,x23784,x23785,x23782,x23786))
% 190.77/190.69 [2379]~E(x23791,x23792)+E(f562(x23793,x23794,x23795,x23796,x23791),f562(x23793,x23794,x23795,x23796,x23792))
% 190.77/190.69 [2380]~E(x23801,x23802)+E(f236(x23801,x23803,x23804,x23805,x23806,x23807),f236(x23802,x23803,x23804,x23805,x23806,x23807))
% 190.77/190.69 [2381]~E(x23811,x23812)+E(f236(x23813,x23811,x23814,x23815,x23816,x23817),f236(x23813,x23812,x23814,x23815,x23816,x23817))
% 190.77/190.69 [2382]~E(x23821,x23822)+E(f236(x23823,x23824,x23821,x23825,x23826,x23827),f236(x23823,x23824,x23822,x23825,x23826,x23827))
% 190.77/190.69 [2383]~E(x23831,x23832)+E(f236(x23833,x23834,x23835,x23831,x23836,x23837),f236(x23833,x23834,x23835,x23832,x23836,x23837))
% 190.77/190.69 [2384]~E(x23841,x23842)+E(f236(x23843,x23844,x23845,x23846,x23841,x23847),f236(x23843,x23844,x23845,x23846,x23842,x23847))
% 190.77/190.69 [2385]~E(x23851,x23852)+E(f236(x23853,x23854,x23855,x23856,x23857,x23851),f236(x23853,x23854,x23855,x23856,x23857,x23852))
% 190.77/190.69 [2386]~E(x23861,x23862)+E(f491(x23861,x23863),f491(x23862,x23863))
% 190.77/190.69 [2387]~E(x23871,x23872)+E(f491(x23873,x23871),f491(x23873,x23872))
% 190.77/190.69 [2388]~E(x23881,x23882)+E(f376(x23881,x23883),f376(x23882,x23883))
% 190.77/190.69 [2389]~E(x23891,x23892)+E(f376(x23893,x23891),f376(x23893,x23892))
% 190.77/190.69 [2390]~E(x23901,x23902)+E(f715(x23901),f715(x23902))
% 190.77/190.69 [2391]~E(x23911,x23912)+E(f864(x23911,x23913),f864(x23912,x23913))
% 190.77/190.69 [2392]~E(x23921,x23922)+E(f864(x23923,x23921),f864(x23923,x23922))
% 190.77/190.69 [2393]~E(x23931,x23932)+E(f819(x23931,x23933,x23934,x23935,x23936,x23937,x23938,x23939),f819(x23932,x23933,x23934,x23935,x23936,x23937,x23938,x23939))
% 190.77/190.69 [2394]~E(x23941,x23942)+E(f819(x23943,x23941,x23944,x23945,x23946,x23947,x23948,x23949),f819(x23943,x23942,x23944,x23945,x23946,x23947,x23948,x23949))
% 190.77/190.69 [2395]~E(x23951,x23952)+E(f819(x23953,x23954,x23951,x23955,x23956,x23957,x23958,x23959),f819(x23953,x23954,x23952,x23955,x23956,x23957,x23958,x23959))
% 190.77/190.69 [2396]~E(x23961,x23962)+E(f819(x23963,x23964,x23965,x23961,x23966,x23967,x23968,x23969),f819(x23963,x23964,x23965,x23962,x23966,x23967,x23968,x23969))
% 190.77/190.69 [2397]~E(x23971,x23972)+E(f819(x23973,x23974,x23975,x23976,x23971,x23977,x23978,x23979),f819(x23973,x23974,x23975,x23976,x23972,x23977,x23978,x23979))
% 190.77/190.69 [2398]~E(x23981,x23982)+E(f819(x23983,x23984,x23985,x23986,x23987,x23981,x23988,x23989),f819(x23983,x23984,x23985,x23986,x23987,x23982,x23988,x23989))
% 190.77/190.69 [2399]~E(x23991,x23992)+E(f819(x23993,x23994,x23995,x23996,x23997,x23998,x23991,x23999),f819(x23993,x23994,x23995,x23996,x23997,x23998,x23992,x23999))
% 190.77/190.69 [2400]~E(x24001,x24002)+E(f819(x24003,x24004,x24005,x24006,x24007,x24008,x24009,x24001),f819(x24003,x24004,x24005,x24006,x24007,x24008,x24009,x24002))
% 190.77/190.69 [2401]~E(x24011,x24012)+E(f703(x24011,x24013),f703(x24012,x24013))
% 190.77/190.69 [2402]~E(x24021,x24022)+E(f703(x24023,x24021),f703(x24023,x24022))
% 190.77/190.69 [2403]~E(x24031,x24032)+E(f768(x24031,x24033,x24034,x24035),f768(x24032,x24033,x24034,x24035))
% 190.77/190.69 [2404]~E(x24041,x24042)+E(f768(x24043,x24041,x24044,x24045),f768(x24043,x24042,x24044,x24045))
% 190.77/190.69 [2405]~E(x24051,x24052)+E(f768(x24053,x24054,x24051,x24055),f768(x24053,x24054,x24052,x24055))
% 190.77/190.69 [2406]~E(x24061,x24062)+E(f768(x24063,x24064,x24065,x24061),f768(x24063,x24064,x24065,x24062))
% 190.77/190.69 [2407]~E(x24071,x24072)+E(f393(x24071,x24073,x24074),f393(x24072,x24073,x24074))
% 190.77/190.69 [2408]~E(x24081,x24082)+E(f393(x24083,x24081,x24084),f393(x24083,x24082,x24084))
% 190.77/190.69 [2409]~E(x24091,x24092)+E(f393(x24093,x24094,x24091),f393(x24093,x24094,x24092))
% 190.77/190.69 [2410]~E(x24101,x24102)+E(f891(x24101,x24103,x24104),f891(x24102,x24103,x24104))
% 190.77/190.69 [2411]~E(x24111,x24112)+E(f891(x24113,x24111,x24114),f891(x24113,x24112,x24114))
% 190.77/190.69 [2412]~E(x24121,x24122)+E(f891(x24123,x24124,x24121),f891(x24123,x24124,x24122))
% 190.77/190.69 [2413]~E(x24131,x24132)+E(f512(x24131,x24133),f512(x24132,x24133))
% 190.77/190.69 [2414]~E(x24141,x24142)+E(f512(x24143,x24141),f512(x24143,x24142))
% 190.77/190.69 [2415]~E(x24151,x24152)+E(f409(x24151,x24153,x24154,x24155,x24156),f409(x24152,x24153,x24154,x24155,x24156))
% 190.77/190.69 [2416]~E(x24161,x24162)+E(f409(x24163,x24161,x24164,x24165,x24166),f409(x24163,x24162,x24164,x24165,x24166))
% 190.77/190.69 [2417]~E(x24171,x24172)+E(f409(x24173,x24174,x24171,x24175,x24176),f409(x24173,x24174,x24172,x24175,x24176))
% 190.77/190.69 [2418]~E(x24181,x24182)+E(f409(x24183,x24184,x24185,x24181,x24186),f409(x24183,x24184,x24185,x24182,x24186))
% 190.77/190.69 [2419]~E(x24191,x24192)+E(f409(x24193,x24194,x24195,x24196,x24191),f409(x24193,x24194,x24195,x24196,x24192))
% 190.77/190.69 [2420]~E(x24201,x24202)+E(f849(x24201,x24203,x24204),f849(x24202,x24203,x24204))
% 190.77/190.69 [2421]~E(x24211,x24212)+E(f849(x24213,x24211,x24214),f849(x24213,x24212,x24214))
% 190.77/190.69 [2422]~E(x24221,x24222)+E(f849(x24223,x24224,x24221),f849(x24223,x24224,x24222))
% 190.77/190.69 [2423]~E(x24231,x24232)+E(f800(x24231,x24233),f800(x24232,x24233))
% 190.77/190.69 [2424]~E(x24241,x24242)+E(f800(x24243,x24241),f800(x24243,x24242))
% 190.77/190.69 [2425]~E(x24251,x24252)+E(f711(x24251),f711(x24252))
% 190.77/190.69 [2426]~E(x24261,x24262)+E(f850(x24261,x24263),f850(x24262,x24263))
% 190.77/190.69 [2427]~E(x24271,x24272)+E(f850(x24273,x24271),f850(x24273,x24272))
% 190.77/190.69 [2428]~E(x24281,x24282)+E(f352(x24281,x24283),f352(x24282,x24283))
% 190.77/190.69 [2429]~E(x24291,x24292)+E(f352(x24293,x24291),f352(x24293,x24292))
% 190.77/190.69 [2430]~E(x24301,x24302)+E(f732(x24301,x24303,x24304),f732(x24302,x24303,x24304))
% 190.77/190.69 [2431]~E(x24311,x24312)+E(f732(x24313,x24311,x24314),f732(x24313,x24312,x24314))
% 190.77/190.69 [2432]~E(x24321,x24322)+E(f732(x24323,x24324,x24321),f732(x24323,x24324,x24322))
% 190.77/190.69 [2433]~E(x24331,x24332)+E(f264(x24331,x24333,x24334),f264(x24332,x24333,x24334))
% 190.77/190.69 [2434]~E(x24341,x24342)+E(f264(x24343,x24341,x24344),f264(x24343,x24342,x24344))
% 190.77/190.69 [2435]~E(x24351,x24352)+E(f264(x24353,x24354,x24351),f264(x24353,x24354,x24352))
% 190.77/190.69 [2436]~E(x24361,x24362)+E(f251(x24361,x24363,x24364,x24365,x24366),f251(x24362,x24363,x24364,x24365,x24366))
% 190.77/190.69 [2437]~E(x24371,x24372)+E(f251(x24373,x24371,x24374,x24375,x24376),f251(x24373,x24372,x24374,x24375,x24376))
% 190.77/190.69 [2438]~E(x24381,x24382)+E(f251(x24383,x24384,x24381,x24385,x24386),f251(x24383,x24384,x24382,x24385,x24386))
% 190.77/190.69 [2439]~E(x24391,x24392)+E(f251(x24393,x24394,x24395,x24391,x24396),f251(x24393,x24394,x24395,x24392,x24396))
% 190.77/190.69 [2440]~E(x24401,x24402)+E(f251(x24403,x24404,x24405,x24406,x24401),f251(x24403,x24404,x24405,x24406,x24402))
% 190.77/190.69 [2441]~E(x24411,x24412)+E(f609(x24411,x24413),f609(x24412,x24413))
% 190.77/190.69 [2442]~E(x24421,x24422)+E(f609(x24423,x24421),f609(x24423,x24422))
% 190.77/190.69 [2443]~E(x24431,x24432)+E(f608(x24431,x24433,x24434,x24435),f608(x24432,x24433,x24434,x24435))
% 190.77/190.69 [2444]~E(x24441,x24442)+E(f608(x24443,x24441,x24444,x24445),f608(x24443,x24442,x24444,x24445))
% 190.77/190.69 [2445]~E(x24451,x24452)+E(f608(x24453,x24454,x24451,x24455),f608(x24453,x24454,x24452,x24455))
% 190.77/190.69 [2446]~E(x24461,x24462)+E(f608(x24463,x24464,x24465,x24461),f608(x24463,x24464,x24465,x24462))
% 190.77/190.69 [2447]~E(x24471,x24472)+E(f390(x24471,x24473,x24474,x24475,x24476),f390(x24472,x24473,x24474,x24475,x24476))
% 190.77/190.69 [2448]~E(x24481,x24482)+E(f390(x24483,x24481,x24484,x24485,x24486),f390(x24483,x24482,x24484,x24485,x24486))
% 190.77/190.69 [2449]~E(x24491,x24492)+E(f390(x24493,x24494,x24491,x24495,x24496),f390(x24493,x24494,x24492,x24495,x24496))
% 190.77/190.69 [2450]~E(x24501,x24502)+E(f390(x24503,x24504,x24505,x24501,x24506),f390(x24503,x24504,x24505,x24502,x24506))
% 190.77/190.69 [2451]~E(x24511,x24512)+E(f390(x24513,x24514,x24515,x24516,x24511),f390(x24513,x24514,x24515,x24516,x24512))
% 190.77/190.69 [2452]~E(x24521,x24522)+E(f286(x24521,x24523,x24524),f286(x24522,x24523,x24524))
% 190.77/190.69 [2453]~E(x24531,x24532)+E(f286(x24533,x24531,x24534),f286(x24533,x24532,x24534))
% 190.77/190.69 [2454]~E(x24541,x24542)+E(f286(x24543,x24544,x24541),f286(x24543,x24544,x24542))
% 190.77/190.69 [2455]~E(x24551,x24552)+E(f213(x24551,x24553,x24554,x24555,x24556),f213(x24552,x24553,x24554,x24555,x24556))
% 190.77/190.69 [2456]~E(x24561,x24562)+E(f213(x24563,x24561,x24564,x24565,x24566),f213(x24563,x24562,x24564,x24565,x24566))
% 190.77/190.69 [2457]~E(x24571,x24572)+E(f213(x24573,x24574,x24571,x24575,x24576),f213(x24573,x24574,x24572,x24575,x24576))
% 190.77/190.69 [2458]~E(x24581,x24582)+E(f213(x24583,x24584,x24585,x24581,x24586),f213(x24583,x24584,x24585,x24582,x24586))
% 190.77/190.69 [2459]~E(x24591,x24592)+E(f213(x24593,x24594,x24595,x24596,x24591),f213(x24593,x24594,x24595,x24596,x24592))
% 190.77/190.69 [2460]~E(x24601,x24602)+E(f875(x24601,x24603),f875(x24602,x24603))
% 190.77/190.69 [2461]~E(x24611,x24612)+E(f875(x24613,x24611),f875(x24613,x24612))
% 190.77/190.69 [2462]~E(x24621,x24622)+E(f456(x24621,x24623,x24624),f456(x24622,x24623,x24624))
% 190.77/190.69 [2463]~E(x24631,x24632)+E(f456(x24633,x24631,x24634),f456(x24633,x24632,x24634))
% 190.77/190.69 [2464]~E(x24641,x24642)+E(f456(x24643,x24644,x24641),f456(x24643,x24644,x24642))
% 190.77/190.69 [2465]~E(x24651,x24652)+E(f772(x24651,x24653,x24654),f772(x24652,x24653,x24654))
% 190.77/190.69 [2466]~E(x24661,x24662)+E(f772(x24663,x24661,x24664),f772(x24663,x24662,x24664))
% 190.77/190.69 [2467]~E(x24671,x24672)+E(f772(x24673,x24674,x24671),f772(x24673,x24674,x24672))
% 190.77/190.69 [2468]~E(x24681,x24682)+E(f554(x24681,x24683,x24684),f554(x24682,x24683,x24684))
% 190.77/190.69 [2469]~E(x24691,x24692)+E(f554(x24693,x24691,x24694),f554(x24693,x24692,x24694))
% 190.77/190.69 [2470]~E(x24701,x24702)+E(f554(x24703,x24704,x24701),f554(x24703,x24704,x24702))
% 190.77/190.69 [2471]~E(x24711,x24712)+E(f733(x24711,x24713,x24714),f733(x24712,x24713,x24714))
% 190.77/190.69 [2472]~E(x24721,x24722)+E(f733(x24723,x24721,x24724),f733(x24723,x24722,x24724))
% 190.77/190.69 [2473]~E(x24731,x24732)+E(f733(x24733,x24734,x24731),f733(x24733,x24734,x24732))
% 190.77/190.69 [2474]~E(x24741,x24742)+E(f586(x24741,x24743,x24744,x24745,x24746),f586(x24742,x24743,x24744,x24745,x24746))
% 190.77/190.69 [2475]~E(x24751,x24752)+E(f586(x24753,x24751,x24754,x24755,x24756),f586(x24753,x24752,x24754,x24755,x24756))
% 190.77/190.69 [2476]~E(x24761,x24762)+E(f586(x24763,x24764,x24761,x24765,x24766),f586(x24763,x24764,x24762,x24765,x24766))
% 190.77/190.69 [2477]~E(x24771,x24772)+E(f586(x24773,x24774,x24775,x24771,x24776),f586(x24773,x24774,x24775,x24772,x24776))
% 190.77/190.69 [2478]~E(x24781,x24782)+E(f586(x24783,x24784,x24785,x24786,x24781),f586(x24783,x24784,x24785,x24786,x24782))
% 190.77/190.69 [2479]~E(x24791,x24792)+E(f853(x24791,x24793,x24794),f853(x24792,x24793,x24794))
% 190.77/190.69 [2480]~E(x24801,x24802)+E(f853(x24803,x24801,x24804),f853(x24803,x24802,x24804))
% 190.77/190.69 [2481]~E(x24811,x24812)+E(f853(x24813,x24814,x24811),f853(x24813,x24814,x24812))
% 190.77/190.69 [2482]~E(x24821,x24822)+E(f329(x24821,x24823,x24824),f329(x24822,x24823,x24824))
% 190.77/190.69 [2483]~E(x24831,x24832)+E(f329(x24833,x24831,x24834),f329(x24833,x24832,x24834))
% 190.77/190.69 [2484]~E(x24841,x24842)+E(f329(x24843,x24844,x24841),f329(x24843,x24844,x24842))
% 190.77/190.69 [2485]~E(x24851,x24852)+E(f410(x24851,x24853,x24854,x24855,x24856,x24857),f410(x24852,x24853,x24854,x24855,x24856,x24857))
% 190.77/190.69 [2486]~E(x24861,x24862)+E(f410(x24863,x24861,x24864,x24865,x24866,x24867),f410(x24863,x24862,x24864,x24865,x24866,x24867))
% 190.77/190.69 [2487]~E(x24871,x24872)+E(f410(x24873,x24874,x24871,x24875,x24876,x24877),f410(x24873,x24874,x24872,x24875,x24876,x24877))
% 190.77/190.69 [2488]~E(x24881,x24882)+E(f410(x24883,x24884,x24885,x24881,x24886,x24887),f410(x24883,x24884,x24885,x24882,x24886,x24887))
% 190.77/190.69 [2489]~E(x24891,x24892)+E(f410(x24893,x24894,x24895,x24896,x24891,x24897),f410(x24893,x24894,x24895,x24896,x24892,x24897))
% 190.77/190.69 [2490]~E(x24901,x24902)+E(f410(x24903,x24904,x24905,x24906,x24907,x24901),f410(x24903,x24904,x24905,x24906,x24907,x24902))
% 190.77/190.69 [2491]~E(x24911,x24912)+E(f748(x24911,x24913,x24914,x24915),f748(x24912,x24913,x24914,x24915))
% 190.77/190.69 [2492]~E(x24921,x24922)+E(f748(x24923,x24921,x24924,x24925),f748(x24923,x24922,x24924,x24925))
% 190.77/190.69 [2493]~E(x24931,x24932)+E(f748(x24933,x24934,x24931,x24935),f748(x24933,x24934,x24932,x24935))
% 190.77/190.69 [2494]~E(x24941,x24942)+E(f748(x24943,x24944,x24945,x24941),f748(x24943,x24944,x24945,x24942))
% 190.77/190.69 [2495]~E(x24951,x24952)+E(f493(x24951,x24953,x24954,x24955,x24956,x24957),f493(x24952,x24953,x24954,x24955,x24956,x24957))
% 190.77/190.69 [2496]~E(x24961,x24962)+E(f493(x24963,x24961,x24964,x24965,x24966,x24967),f493(x24963,x24962,x24964,x24965,x24966,x24967))
% 190.77/190.69 [2497]~E(x24971,x24972)+E(f493(x24973,x24974,x24971,x24975,x24976,x24977),f493(x24973,x24974,x24972,x24975,x24976,x24977))
% 190.77/190.69 [2498]~E(x24981,x24982)+E(f493(x24983,x24984,x24985,x24981,x24986,x24987),f493(x24983,x24984,x24985,x24982,x24986,x24987))
% 190.77/190.69 [2499]~E(x24991,x24992)+E(f493(x24993,x24994,x24995,x24996,x24991,x24997),f493(x24993,x24994,x24995,x24996,x24992,x24997))
% 190.77/190.69 [2500]~E(x25001,x25002)+E(f493(x25003,x25004,x25005,x25006,x25007,x25001),f493(x25003,x25004,x25005,x25006,x25007,x25002))
% 190.77/190.69 [2501]~E(x25011,x25012)+E(f801(x25011,x25013),f801(x25012,x25013))
% 190.77/190.69 [2502]~E(x25021,x25022)+E(f801(x25023,x25021),f801(x25023,x25022))
% 190.77/190.69 [2503]~E(x25031,x25032)+E(f753(x25031,x25033,x25034,x25035),f753(x25032,x25033,x25034,x25035))
% 190.77/190.69 [2504]~E(x25041,x25042)+E(f753(x25043,x25041,x25044,x25045),f753(x25043,x25042,x25044,x25045))
% 190.77/190.69 [2505]~E(x25051,x25052)+E(f753(x25053,x25054,x25051,x25055),f753(x25053,x25054,x25052,x25055))
% 190.77/190.69 [2506]~E(x25061,x25062)+E(f753(x25063,x25064,x25065,x25061),f753(x25063,x25064,x25065,x25062))
% 190.77/190.69 [2507]~E(x25071,x25072)+E(f541(x25071,x25073,x25074,x25075),f541(x25072,x25073,x25074,x25075))
% 190.77/190.69 [2508]~E(x25081,x25082)+E(f541(x25083,x25081,x25084,x25085),f541(x25083,x25082,x25084,x25085))
% 190.77/190.69 [2509]~E(x25091,x25092)+E(f541(x25093,x25094,x25091,x25095),f541(x25093,x25094,x25092,x25095))
% 190.77/190.69 [2510]~E(x25101,x25102)+E(f541(x25103,x25104,x25105,x25101),f541(x25103,x25104,x25105,x25102))
% 190.77/190.69 [2511]~E(x25111,x25112)+E(f492(x25111,x25113,x25114,x25115),f492(x25112,x25113,x25114,x25115))
% 190.77/190.69 [2512]~E(x25121,x25122)+E(f492(x25123,x25121,x25124,x25125),f492(x25123,x25122,x25124,x25125))
% 190.77/190.69 [2513]~E(x25131,x25132)+E(f492(x25133,x25134,x25131,x25135),f492(x25133,x25134,x25132,x25135))
% 190.77/190.69 [2514]~E(x25141,x25142)+E(f492(x25143,x25144,x25145,x25141),f492(x25143,x25144,x25145,x25142))
% 190.77/190.69 [2515]~E(x25151,x25152)+E(f487(x25151,x25153),f487(x25152,x25153))
% 190.77/190.69 [2516]~E(x25161,x25162)+E(f487(x25163,x25161),f487(x25163,x25162))
% 190.77/190.69 [2517]~E(x25171,x25172)+E(f618(x25171,x25173,x25174,x25175,x25176,x25177),f618(x25172,x25173,x25174,x25175,x25176,x25177))
% 190.77/190.69 [2518]~E(x25181,x25182)+E(f618(x25183,x25181,x25184,x25185,x25186,x25187),f618(x25183,x25182,x25184,x25185,x25186,x25187))
% 190.77/190.69 [2519]~E(x25191,x25192)+E(f618(x25193,x25194,x25191,x25195,x25196,x25197),f618(x25193,x25194,x25192,x25195,x25196,x25197))
% 190.77/190.69 [2520]~E(x25201,x25202)+E(f618(x25203,x25204,x25205,x25201,x25206,x25207),f618(x25203,x25204,x25205,x25202,x25206,x25207))
% 190.77/190.69 [2521]~E(x25211,x25212)+E(f618(x25213,x25214,x25215,x25216,x25211,x25217),f618(x25213,x25214,x25215,x25216,x25212,x25217))
% 190.77/190.69 [2522]~E(x25221,x25222)+E(f618(x25223,x25224,x25225,x25226,x25227,x25221),f618(x25223,x25224,x25225,x25226,x25227,x25222))
% 190.77/190.69 [2523]~E(x25231,x25232)+E(f370(x25231,x25233,x25234,x25235),f370(x25232,x25233,x25234,x25235))
% 190.77/190.69 [2524]~E(x25241,x25242)+E(f370(x25243,x25241,x25244,x25245),f370(x25243,x25242,x25244,x25245))
% 190.77/190.69 [2525]~E(x25251,x25252)+E(f370(x25253,x25254,x25251,x25255),f370(x25253,x25254,x25252,x25255))
% 190.77/190.69 [2526]~E(x25261,x25262)+E(f370(x25263,x25264,x25265,x25261),f370(x25263,x25264,x25265,x25262))
% 190.77/190.69 [2527]~E(x25271,x25272)+E(f729(x25271,x25273,x25274),f729(x25272,x25273,x25274))
% 190.77/190.69 [2528]~E(x25281,x25282)+E(f729(x25283,x25281,x25284),f729(x25283,x25282,x25284))
% 190.77/190.69 [2529]~E(x25291,x25292)+E(f729(x25293,x25294,x25291),f729(x25293,x25294,x25292))
% 190.77/190.69 [2530]~E(x25301,x25302)+E(f602(x25301,x25303,x25304,x25305),f602(x25302,x25303,x25304,x25305))
% 190.77/190.69 [2531]~E(x25311,x25312)+E(f602(x25313,x25311,x25314,x25315),f602(x25313,x25312,x25314,x25315))
% 190.77/190.69 [2532]~E(x25321,x25322)+E(f602(x25323,x25324,x25321,x25325),f602(x25323,x25324,x25322,x25325))
% 190.77/190.69 [2533]~E(x25331,x25332)+E(f602(x25333,x25334,x25335,x25331),f602(x25333,x25334,x25335,x25332))
% 190.77/190.69 [2534]~E(x25341,x25342)+E(f497(x25341,x25343,x25344,x25345),f497(x25342,x25343,x25344,x25345))
% 190.77/190.69 [2535]~E(x25351,x25352)+E(f497(x25353,x25351,x25354,x25355),f497(x25353,x25352,x25354,x25355))
% 190.77/190.69 [2536]~E(x25361,x25362)+E(f497(x25363,x25364,x25361,x25365),f497(x25363,x25364,x25362,x25365))
% 190.77/190.69 [2537]~E(x25371,x25372)+E(f497(x25373,x25374,x25375,x25371),f497(x25373,x25374,x25375,x25372))
% 190.77/190.69 [2538]~E(x25381,x25382)+E(f490(x25381,x25383),f490(x25382,x25383))
% 190.77/190.69 [2539]~E(x25391,x25392)+E(f490(x25393,x25391),f490(x25393,x25392))
% 190.77/190.69 [2540]~E(x25401,x25402)+E(f704(x25401,x25403),f704(x25402,x25403))
% 190.77/190.69 [2541]~E(x25411,x25412)+E(f704(x25413,x25411),f704(x25413,x25412))
% 190.77/190.69 [2542]~E(x25421,x25422)+E(f350(x25421,x25423),f350(x25422,x25423))
% 190.77/190.69 [2543]~E(x25431,x25432)+E(f350(x25433,x25431),f350(x25433,x25432))
% 190.77/190.69 [2544]~E(x25441,x25442)+E(f571(x25441,x25443,x25444,x25445,x25446),f571(x25442,x25443,x25444,x25445,x25446))
% 190.77/190.69 [2545]~E(x25451,x25452)+E(f571(x25453,x25451,x25454,x25455,x25456),f571(x25453,x25452,x25454,x25455,x25456))
% 190.77/190.69 [2546]~E(x25461,x25462)+E(f571(x25463,x25464,x25461,x25465,x25466),f571(x25463,x25464,x25462,x25465,x25466))
% 190.77/190.69 [2547]~E(x25471,x25472)+E(f571(x25473,x25474,x25475,x25471,x25476),f571(x25473,x25474,x25475,x25472,x25476))
% 190.77/190.69 [2548]~E(x25481,x25482)+E(f571(x25483,x25484,x25485,x25486,x25481),f571(x25483,x25484,x25485,x25486,x25482))
% 190.77/190.69 [2549]~E(x25491,x25492)+E(f886(x25491,x25493,x25494),f886(x25492,x25493,x25494))
% 190.77/190.69 [2550]~E(x25501,x25502)+E(f886(x25503,x25501,x25504),f886(x25503,x25502,x25504))
% 190.77/190.69 [2551]~E(x25511,x25512)+E(f886(x25513,x25514,x25511),f886(x25513,x25514,x25512))
% 190.77/190.69 [2552]~E(x25521,x25522)+E(f283(x25521,x25523),f283(x25522,x25523))
% 190.77/190.69 [2553]~E(x25531,x25532)+E(f283(x25533,x25531),f283(x25533,x25532))
% 190.77/190.69 [2554]~E(x25541,x25542)+E(f551(x25541,x25543),f551(x25542,x25543))
% 190.77/190.69 [2555]~E(x25551,x25552)+E(f551(x25553,x25551),f551(x25553,x25552))
% 190.77/190.69 [2556]~E(x25561,x25562)+E(f391(x25561,x25563,x25564,x25565,x25566),f391(x25562,x25563,x25564,x25565,x25566))
% 190.77/190.69 [2557]~E(x25571,x25572)+E(f391(x25573,x25571,x25574,x25575,x25576),f391(x25573,x25572,x25574,x25575,x25576))
% 190.77/190.69 [2558]~E(x25581,x25582)+E(f391(x25583,x25584,x25581,x25585,x25586),f391(x25583,x25584,x25582,x25585,x25586))
% 190.77/190.69 [2559]~E(x25591,x25592)+E(f391(x25593,x25594,x25595,x25591,x25596),f391(x25593,x25594,x25595,x25592,x25596))
% 190.77/190.69 [2560]~E(x25601,x25602)+E(f391(x25603,x25604,x25605,x25606,x25601),f391(x25603,x25604,x25605,x25606,x25602))
% 190.77/190.69 [2561]~E(x25611,x25612)+E(f459(x25611,x25613,x25614,x25615),f459(x25612,x25613,x25614,x25615))
% 190.77/190.69 [2562]~E(x25621,x25622)+E(f459(x25623,x25621,x25624,x25625),f459(x25623,x25622,x25624,x25625))
% 190.77/190.69 [2563]~E(x25631,x25632)+E(f459(x25633,x25634,x25631,x25635),f459(x25633,x25634,x25632,x25635))
% 190.77/190.69 [2564]~E(x25641,x25642)+E(f459(x25643,x25644,x25645,x25641),f459(x25643,x25644,x25645,x25642))
% 190.77/190.69 [2565]~E(x25651,x25652)+E(f776(x25651,x25653,x25654,x25655,x25656),f776(x25652,x25653,x25654,x25655,x25656))
% 190.77/190.69 [2566]~E(x25661,x25662)+E(f776(x25663,x25661,x25664,x25665,x25666),f776(x25663,x25662,x25664,x25665,x25666))
% 190.77/190.69 [2567]~E(x25671,x25672)+E(f776(x25673,x25674,x25671,x25675,x25676),f776(x25673,x25674,x25672,x25675,x25676))
% 190.77/190.69 [2568]~E(x25681,x25682)+E(f776(x25683,x25684,x25685,x25681,x25686),f776(x25683,x25684,x25685,x25682,x25686))
% 190.77/190.69 [2569]~E(x25691,x25692)+E(f776(x25693,x25694,x25695,x25696,x25691),f776(x25693,x25694,x25695,x25696,x25692))
% 190.77/190.69 [2570]~E(x25701,x25702)+E(f499(x25701,x25703,x25704,x25705),f499(x25702,x25703,x25704,x25705))
% 190.77/190.69 [2571]~E(x25711,x25712)+E(f499(x25713,x25711,x25714,x25715),f499(x25713,x25712,x25714,x25715))
% 190.77/190.69 [2572]~E(x25721,x25722)+E(f499(x25723,x25724,x25721,x25725),f499(x25723,x25724,x25722,x25725))
% 190.77/190.69 [2573]~E(x25731,x25732)+E(f499(x25733,x25734,x25735,x25731),f499(x25733,x25734,x25735,x25732))
% 190.77/190.69 [2574]~E(x25741,x25742)+E(f712(x25741,x25743,x25744,x25745),f712(x25742,x25743,x25744,x25745))
% 190.77/190.69 [2575]~E(x25751,x25752)+E(f712(x25753,x25751,x25754,x25755),f712(x25753,x25752,x25754,x25755))
% 190.77/190.69 [2576]~E(x25761,x25762)+E(f712(x25763,x25764,x25761,x25765),f712(x25763,x25764,x25762,x25765))
% 190.77/190.69 [2577]~E(x25771,x25772)+E(f712(x25773,x25774,x25775,x25771),f712(x25773,x25774,x25775,x25772))
% 190.77/190.69 [2578]~E(x25781,x25782)+E(f872(x25781,x25783,x25784),f872(x25782,x25783,x25784))
% 190.77/190.69 [2579]~E(x25791,x25792)+E(f872(x25793,x25791,x25794),f872(x25793,x25792,x25794))
% 190.77/190.69 [2580]~E(x25801,x25802)+E(f872(x25803,x25804,x25801),f872(x25803,x25804,x25802))
% 190.77/190.69 [2581]~E(x25811,x25812)+E(f333(x25811,x25813,x25814),f333(x25812,x25813,x25814))
% 190.77/190.69 [2582]~E(x25821,x25822)+E(f333(x25823,x25821,x25824),f333(x25823,x25822,x25824))
% 190.77/190.69 [2583]~E(x25831,x25832)+E(f333(x25833,x25834,x25831),f333(x25833,x25834,x25832))
% 190.77/190.69 [2584]~E(x25841,x25842)+E(f415(x25841,x25843,x25844,x25845,x25846),f415(x25842,x25843,x25844,x25845,x25846))
% 190.77/190.69 [2585]~E(x25851,x25852)+E(f415(x25853,x25851,x25854,x25855,x25856),f415(x25853,x25852,x25854,x25855,x25856))
% 190.77/190.69 [2586]~E(x25861,x25862)+E(f415(x25863,x25864,x25861,x25865,x25866),f415(x25863,x25864,x25862,x25865,x25866))
% 190.77/190.69 [2587]~E(x25871,x25872)+E(f415(x25873,x25874,x25875,x25871,x25876),f415(x25873,x25874,x25875,x25872,x25876))
% 190.77/190.69 [2588]~E(x25881,x25882)+E(f415(x25883,x25884,x25885,x25886,x25881),f415(x25883,x25884,x25885,x25886,x25882))
% 190.77/190.69 [2589]~E(x25891,x25892)+E(f219(x25891,x25893,x25894,x25895),f219(x25892,x25893,x25894,x25895))
% 190.77/190.69 [2590]~E(x25901,x25902)+E(f219(x25903,x25901,x25904,x25905),f219(x25903,x25902,x25904,x25905))
% 190.77/190.69 [2591]~E(x25911,x25912)+E(f219(x25913,x25914,x25911,x25915),f219(x25913,x25914,x25912,x25915))
% 190.77/190.69 [2592]~E(x25921,x25922)+E(f219(x25923,x25924,x25925,x25921),f219(x25923,x25924,x25925,x25922))
% 190.77/190.69 [2593]~E(x25931,x25932)+E(f261(x25931,x25933,x25934,x25935),f261(x25932,x25933,x25934,x25935))
% 190.77/190.69 [2594]~E(x25941,x25942)+E(f261(x25943,x25941,x25944,x25945),f261(x25943,x25942,x25944,x25945))
% 190.77/190.69 [2595]~E(x25951,x25952)+E(f261(x25953,x25954,x25951,x25955),f261(x25953,x25954,x25952,x25955))
% 190.77/190.69 [2596]~E(x25961,x25962)+E(f261(x25963,x25964,x25965,x25961),f261(x25963,x25964,x25965,x25962))
% 190.77/190.69 [2597]~E(x25971,x25972)+E(f222(x25971,x25973),f222(x25972,x25973))
% 190.77/190.69 [2598]~E(x25981,x25982)+E(f222(x25983,x25981),f222(x25983,x25982))
% 190.77/190.69 [2599]~E(x25991,x25992)+E(f625(x25991,x25993),f625(x25992,x25993))
% 190.77/190.69 [2600]~E(x26001,x26002)+E(f625(x26003,x26001),f625(x26003,x26002))
% 190.77/190.69 [2601]~E(x26011,x26012)+E(f856(x26011,x26013,x26014),f856(x26012,x26013,x26014))
% 190.77/190.69 [2602]~E(x26021,x26022)+E(f856(x26023,x26021,x26024),f856(x26023,x26022,x26024))
% 190.77/190.69 [2603]~E(x26031,x26032)+E(f856(x26033,x26034,x26031),f856(x26033,x26034,x26032))
% 190.77/190.69 [2604]~E(x26041,x26042)+E(f474(x26041,x26043,x26044,x26045,x26046,x26047),f474(x26042,x26043,x26044,x26045,x26046,x26047))
% 190.77/190.69 [2605]~E(x26051,x26052)+E(f474(x26053,x26051,x26054,x26055,x26056,x26057),f474(x26053,x26052,x26054,x26055,x26056,x26057))
% 190.77/190.69 [2606]~E(x26061,x26062)+E(f474(x26063,x26064,x26061,x26065,x26066,x26067),f474(x26063,x26064,x26062,x26065,x26066,x26067))
% 190.77/190.69 [2607]~E(x26071,x26072)+E(f474(x26073,x26074,x26075,x26071,x26076,x26077),f474(x26073,x26074,x26075,x26072,x26076,x26077))
% 190.77/190.69 [2608]~E(x26081,x26082)+E(f474(x26083,x26084,x26085,x26086,x26081,x26087),f474(x26083,x26084,x26085,x26086,x26082,x26087))
% 190.77/190.69 [2609]~E(x26091,x26092)+E(f474(x26093,x26094,x26095,x26096,x26097,x26091),f474(x26093,x26094,x26095,x26096,x26097,x26092))
% 190.77/190.69 [2610]~E(x26101,x26102)+E(f738(x26101,x26103,x26104),f738(x26102,x26103,x26104))
% 190.77/190.69 [2611]~E(x26111,x26112)+E(f738(x26113,x26111,x26114),f738(x26113,x26112,x26114))
% 190.77/190.69 [2612]~E(x26121,x26122)+E(f738(x26123,x26124,x26121),f738(x26123,x26124,x26122))
% 190.77/190.69 [2613]~E(x26131,x26132)+E(f536(x26131,x26133),f536(x26132,x26133))
% 190.77/190.69 [2614]~E(x26141,x26142)+E(f536(x26143,x26141),f536(x26143,x26142))
% 190.77/190.69 [2615]~E(x26151,x26152)+E(f347(x26151,x26153),f347(x26152,x26153))
% 190.77/190.69 [2616]~E(x26161,x26162)+E(f347(x26163,x26161),f347(x26163,x26162))
% 190.77/190.69 [2617]~E(x26171,x26172)+E(f369(x26171,x26173,x26174,x26175),f369(x26172,x26173,x26174,x26175))
% 190.77/190.69 [2618]~E(x26181,x26182)+E(f369(x26183,x26181,x26184,x26185),f369(x26183,x26182,x26184,x26185))
% 190.77/190.69 [2619]~E(x26191,x26192)+E(f369(x26193,x26194,x26191,x26195),f369(x26193,x26194,x26192,x26195))
% 190.77/190.69 [2620]~E(x26201,x26202)+E(f369(x26203,x26204,x26205,x26201),f369(x26203,x26204,x26205,x26202))
% 190.77/190.69 [2621]~E(x26211,x26212)+E(f639(x26211,x26213,x26214),f639(x26212,x26213,x26214))
% 190.77/190.69 [2622]~E(x26221,x26222)+E(f639(x26223,x26221,x26224),f639(x26223,x26222,x26224))
% 190.77/190.69 [2623]~E(x26231,x26232)+E(f639(x26233,x26234,x26231),f639(x26233,x26234,x26232))
% 190.77/190.69 [2624]~E(x26241,x26242)+E(f722(x26241,x26243,x26244,x26245,x26246),f722(x26242,x26243,x26244,x26245,x26246))
% 190.77/190.69 [2625]~E(x26251,x26252)+E(f722(x26253,x26251,x26254,x26255,x26256),f722(x26253,x26252,x26254,x26255,x26256))
% 190.77/190.69 [2626]~E(x26261,x26262)+E(f722(x26263,x26264,x26261,x26265,x26266),f722(x26263,x26264,x26262,x26265,x26266))
% 190.77/190.69 [2627]~E(x26271,x26272)+E(f722(x26273,x26274,x26275,x26271,x26276),f722(x26273,x26274,x26275,x26272,x26276))
% 190.77/190.69 [2628]~E(x26281,x26282)+E(f722(x26283,x26284,x26285,x26286,x26281),f722(x26283,x26284,x26285,x26286,x26282))
% 190.77/190.69 [2629]~E(x26291,x26292)+E(f861(x26291,x26293,x26294),f861(x26292,x26293,x26294))
% 190.77/190.69 [2630]~E(x26301,x26302)+E(f861(x26303,x26301,x26304),f861(x26303,x26302,x26304))
% 190.77/190.69 [2631]~E(x26311,x26312)+E(f861(x26313,x26314,x26311),f861(x26313,x26314,x26312))
% 190.77/190.69 [2632]~E(x26321,x26322)+E(f577(x26321),f577(x26322))
% 190.77/190.69 [2633]~E(x26331,x26332)+E(f482(x26331,x26333,x26334,x26335,x26336,x26337,x26338,x26339),f482(x26332,x26333,x26334,x26335,x26336,x26337,x26338,x26339))
% 190.77/190.69 [2634]~E(x26341,x26342)+E(f482(x26343,x26341,x26344,x26345,x26346,x26347,x26348,x26349),f482(x26343,x26342,x26344,x26345,x26346,x26347,x26348,x26349))
% 190.77/190.69 [2635]~E(x26351,x26352)+E(f482(x26353,x26354,x26351,x26355,x26356,x26357,x26358,x26359),f482(x26353,x26354,x26352,x26355,x26356,x26357,x26358,x26359))
% 190.77/190.69 [2636]~E(x26361,x26362)+E(f482(x26363,x26364,x26365,x26361,x26366,x26367,x26368,x26369),f482(x26363,x26364,x26365,x26362,x26366,x26367,x26368,x26369))
% 190.77/190.69 [2637]~E(x26371,x26372)+E(f482(x26373,x26374,x26375,x26376,x26371,x26377,x26378,x26379),f482(x26373,x26374,x26375,x26376,x26372,x26377,x26378,x26379))
% 190.77/190.69 [2638]~E(x26381,x26382)+E(f482(x26383,x26384,x26385,x26386,x26387,x26381,x26388,x26389),f482(x26383,x26384,x26385,x26386,x26387,x26382,x26388,x26389))
% 190.77/190.69 [2639]~E(x26391,x26392)+E(f482(x26393,x26394,x26395,x26396,x26397,x26398,x26391,x26399),f482(x26393,x26394,x26395,x26396,x26397,x26398,x26392,x26399))
% 190.77/190.69 [2640]~E(x26401,x26402)+E(f482(x26403,x26404,x26405,x26406,x26407,x26408,x26409,x26401),f482(x26403,x26404,x26405,x26406,x26407,x26408,x26409,x26402))
% 190.77/190.69 [2641]~E(x26411,x26412)+E(f117(x26411,x26413,x26414,x26415,x26416),f117(x26412,x26413,x26414,x26415,x26416))
% 190.77/190.69 [2642]~E(x26421,x26422)+E(f117(x26423,x26421,x26424,x26425,x26426),f117(x26423,x26422,x26424,x26425,x26426))
% 190.77/190.69 [2643]~E(x26431,x26432)+E(f117(x26433,x26434,x26431,x26435,x26436),f117(x26433,x26434,x26432,x26435,x26436))
% 190.77/190.69 [2644]~E(x26441,x26442)+E(f117(x26443,x26444,x26445,x26441,x26446),f117(x26443,x26444,x26445,x26442,x26446))
% 190.77/190.69 [2645]~E(x26451,x26452)+E(f117(x26453,x26454,x26455,x26456,x26451),f117(x26453,x26454,x26455,x26456,x26452))
% 190.77/190.69 [2646]~E(x26461,x26462)+E(f216(x26461,x26463,x26464,x26465,x26466),f216(x26462,x26463,x26464,x26465,x26466))
% 190.77/190.69 [2647]~E(x26471,x26472)+E(f216(x26473,x26471,x26474,x26475,x26476),f216(x26473,x26472,x26474,x26475,x26476))
% 190.77/190.69 [2648]~E(x26481,x26482)+E(f216(x26483,x26484,x26481,x26485,x26486),f216(x26483,x26484,x26482,x26485,x26486))
% 190.77/190.69 [2649]~E(x26491,x26492)+E(f216(x26493,x26494,x26495,x26491,x26496),f216(x26493,x26494,x26495,x26492,x26496))
% 190.77/190.69 [2650]~E(x26501,x26502)+E(f216(x26503,x26504,x26505,x26506,x26501),f216(x26503,x26504,x26505,x26506,x26502))
% 190.77/190.69 [2651]~E(x26511,x26512)+E(f569(x26511,x26513,x26514,x26515,x26516),f569(x26512,x26513,x26514,x26515,x26516))
% 190.77/190.69 [2652]~E(x26521,x26522)+E(f569(x26523,x26521,x26524,x26525,x26526),f569(x26523,x26522,x26524,x26525,x26526))
% 190.77/190.69 [2653]~E(x26531,x26532)+E(f569(x26533,x26534,x26531,x26535,x26536),f569(x26533,x26534,x26532,x26535,x26536))
% 190.77/190.69 [2654]~E(x26541,x26542)+E(f569(x26543,x26544,x26545,x26541,x26546),f569(x26543,x26544,x26545,x26542,x26546))
% 190.77/190.69 [2655]~E(x26551,x26552)+E(f569(x26553,x26554,x26555,x26556,x26551),f569(x26553,x26554,x26555,x26556,x26552))
% 190.77/190.69 [2656]~E(x26561,x26562)+E(f342(x26561,x26563,x26564),f342(x26562,x26563,x26564))
% 190.77/190.69 [2657]~E(x26571,x26572)+E(f342(x26573,x26571,x26574),f342(x26573,x26572,x26574))
% 190.77/190.69 [2658]~E(x26581,x26582)+E(f342(x26583,x26584,x26581),f342(x26583,x26584,x26582))
% 190.77/190.69 [2659]~E(x26591,x26592)+E(f591(x26591,x26593,x26594),f591(x26592,x26593,x26594))
% 190.77/190.69 [2660]~E(x26601,x26602)+E(f591(x26603,x26601,x26604),f591(x26603,x26602,x26604))
% 190.77/190.69 [2661]~E(x26611,x26612)+E(f591(x26613,x26614,x26611),f591(x26613,x26614,x26612))
% 190.77/190.69 [2662]~E(x26621,x26622)+E(f200(x26621,x26623,x26624,x26625),f200(x26622,x26623,x26624,x26625))
% 190.77/190.69 [2663]~E(x26631,x26632)+E(f200(x26633,x26631,x26634,x26635),f200(x26633,x26632,x26634,x26635))
% 190.77/190.69 [2664]~E(x26641,x26642)+E(f200(x26643,x26644,x26641,x26645),f200(x26643,x26644,x26642,x26645))
% 190.77/190.69 [2665]~E(x26651,x26652)+E(f200(x26653,x26654,x26655,x26651),f200(x26653,x26654,x26655,x26652))
% 190.77/190.69 [2666]~E(x26661,x26662)+E(f611(x26661,x26663),f611(x26662,x26663))
% 190.77/190.69 [2667]~E(x26671,x26672)+E(f611(x26673,x26671),f611(x26673,x26672))
% 190.77/190.69 [2668]~E(x26681,x26682)+E(f21(x26681,x26683),f21(x26682,x26683))
% 190.77/190.69 [2669]~E(x26691,x26692)+E(f21(x26693,x26691),f21(x26693,x26692))
% 190.77/190.69 [2670]~E(x26701,x26702)+E(f380(x26701,x26703,x26704,x26705,x26706),f380(x26702,x26703,x26704,x26705,x26706))
% 190.77/190.69 [2671]~E(x26711,x26712)+E(f380(x26713,x26711,x26714,x26715,x26716),f380(x26713,x26712,x26714,x26715,x26716))
% 190.77/190.69 [2672]~E(x26721,x26722)+E(f380(x26723,x26724,x26721,x26725,x26726),f380(x26723,x26724,x26722,x26725,x26726))
% 190.77/190.69 [2673]~E(x26731,x26732)+E(f380(x26733,x26734,x26735,x26731,x26736),f380(x26733,x26734,x26735,x26732,x26736))
% 190.77/190.69 [2674]~E(x26741,x26742)+E(f380(x26743,x26744,x26745,x26746,x26741),f380(x26743,x26744,x26745,x26746,x26742))
% 190.77/190.69 [2675]~E(x26751,x26752)+E(f348(x26751,x26753),f348(x26752,x26753))
% 190.77/190.69 [2676]~E(x26761,x26762)+E(f348(x26763,x26761),f348(x26763,x26762))
% 190.77/190.69 [2677]~E(x26771,x26772)+E(f477(x26771),f477(x26772))
% 190.77/190.69 [2678]~E(x26781,x26782)+E(f829(x26781,x26783,x26784,x26785,x26786,x26787),f829(x26782,x26783,x26784,x26785,x26786,x26787))
% 190.77/190.69 [2679]~E(x26791,x26792)+E(f829(x26793,x26791,x26794,x26795,x26796,x26797),f829(x26793,x26792,x26794,x26795,x26796,x26797))
% 190.77/190.69 [2680]~E(x26801,x26802)+E(f829(x26803,x26804,x26801,x26805,x26806,x26807),f829(x26803,x26804,x26802,x26805,x26806,x26807))
% 190.77/190.69 [2681]~E(x26811,x26812)+E(f829(x26813,x26814,x26815,x26811,x26816,x26817),f829(x26813,x26814,x26815,x26812,x26816,x26817))
% 190.77/190.69 [2682]~E(x26821,x26822)+E(f829(x26823,x26824,x26825,x26826,x26821,x26827),f829(x26823,x26824,x26825,x26826,x26822,x26827))
% 190.77/190.69 [2683]~E(x26831,x26832)+E(f829(x26833,x26834,x26835,x26836,x26837,x26831),f829(x26833,x26834,x26835,x26836,x26837,x26832))
% 190.77/190.69 [2684]~E(x26841,x26842)+E(f752(x26841,x26843,x26844,x26845,x26846),f752(x26842,x26843,x26844,x26845,x26846))
% 190.77/190.69 [2685]~E(x26851,x26852)+E(f752(x26853,x26851,x26854,x26855,x26856),f752(x26853,x26852,x26854,x26855,x26856))
% 190.77/190.69 [2686]~E(x26861,x26862)+E(f752(x26863,x26864,x26861,x26865,x26866),f752(x26863,x26864,x26862,x26865,x26866))
% 190.77/190.69 [2687]~E(x26871,x26872)+E(f752(x26873,x26874,x26875,x26871,x26876),f752(x26873,x26874,x26875,x26872,x26876))
% 190.77/190.69 [2688]~E(x26881,x26882)+E(f752(x26883,x26884,x26885,x26886,x26881),f752(x26883,x26884,x26885,x26886,x26882))
% 190.77/190.69 [2689]~E(x26891,x26892)+E(f629(x26891,x26893,x26894,x26895,x26896),f629(x26892,x26893,x26894,x26895,x26896))
% 190.77/190.69 [2690]~E(x26901,x26902)+E(f629(x26903,x26901,x26904,x26905,x26906),f629(x26903,x26902,x26904,x26905,x26906))
% 190.77/190.69 [2691]~E(x26911,x26912)+E(f629(x26913,x26914,x26911,x26915,x26916),f629(x26913,x26914,x26912,x26915,x26916))
% 190.77/190.69 [2692]~E(x26921,x26922)+E(f629(x26923,x26924,x26925,x26921,x26926),f629(x26923,x26924,x26925,x26922,x26926))
% 190.77/190.69 [2693]~E(x26931,x26932)+E(f629(x26933,x26934,x26935,x26936,x26931),f629(x26933,x26934,x26935,x26936,x26932))
% 190.77/190.69 [2694]~E(x26941,x26942)+E(f484(x26941,x26943),f484(x26942,x26943))
% 190.77/190.69 [2695]~E(x26951,x26952)+E(f484(x26953,x26951),f484(x26953,x26952))
% 190.77/190.69 [2696]~E(x26961,x26962)+E(f798(x26961,x26963,x26964),f798(x26962,x26963,x26964))
% 190.77/190.69 [2697]~E(x26971,x26972)+E(f798(x26973,x26971,x26974),f798(x26973,x26972,x26974))
% 190.77/190.69 [2698]~E(x26981,x26982)+E(f798(x26983,x26984,x26981),f798(x26983,x26984,x26982))
% 190.77/190.69 [2699]~E(x26991,x26992)+E(f266(x26991,x26993,x26994,x26995),f266(x26992,x26993,x26994,x26995))
% 190.77/190.69 [2700]~E(x27001,x27002)+E(f266(x27003,x27001,x27004,x27005),f266(x27003,x27002,x27004,x27005))
% 190.77/190.69 [2701]~E(x27011,x27012)+E(f266(x27013,x27014,x27011,x27015),f266(x27013,x27014,x27012,x27015))
% 190.77/190.69 [2702]~E(x27021,x27022)+E(f266(x27023,x27024,x27025,x27021),f266(x27023,x27024,x27025,x27022))
% 190.77/190.69 [2703]~E(x27031,x27032)+E(f735(x27031),f735(x27032))
% 190.77/190.69 [2704]~E(x27041,x27042)+E(f786(x27041),f786(x27042))
% 190.77/190.69 [2705]~E(x27051,x27052)+E(f488(x27051,x27053),f488(x27052,x27053))
% 190.77/190.69 [2706]~E(x27061,x27062)+E(f488(x27063,x27061),f488(x27063,x27062))
% 190.77/190.69 [2707]~E(x27071,x27072)+E(f218(x27071,x27073,x27074),f218(x27072,x27073,x27074))
% 190.77/190.69 [2708]~E(x27081,x27082)+E(f218(x27083,x27081,x27084),f218(x27083,x27082,x27084))
% 190.77/190.69 [2709]~E(x27091,x27092)+E(f218(x27093,x27094,x27091),f218(x27093,x27094,x27092))
% 190.77/190.69 [2710]~E(x27101,x27102)+E(f766(x27101),f766(x27102))
% 190.77/190.69 [2711]~E(x27111,x27112)+E(f785(x27111),f785(x27112))
% 190.77/190.69 [2712]~E(x27121,x27122)+E(f193(x27121,x27123,x27124),f193(x27122,x27123,x27124))
% 190.77/190.69 [2713]~E(x27131,x27132)+E(f193(x27133,x27131,x27134),f193(x27133,x27132,x27134))
% 190.77/190.69 [2714]~E(x27141,x27142)+E(f193(x27143,x27144,x27141),f193(x27143,x27144,x27142))
% 190.77/190.69 [2715]~E(x27151,x27152)+E(f838(x27151,x27153),f838(x27152,x27153))
% 190.77/190.69 [2716]~E(x27161,x27162)+E(f838(x27163,x27161),f838(x27163,x27162))
% 190.77/190.69 [2717]~E(x27171,x27172)+E(f620(x27171,x27173),f620(x27172,x27173))
% 190.77/190.69 [2718]~E(x27181,x27182)+E(f620(x27183,x27181),f620(x27183,x27182))
% 190.77/190.69 [2719]~E(x27191,x27192)+E(f504(x27191,x27193,x27194,x27195),f504(x27192,x27193,x27194,x27195))
% 190.77/190.69 [2720]~E(x27201,x27202)+E(f504(x27203,x27201,x27204,x27205),f504(x27203,x27202,x27204,x27205))
% 190.77/190.69 [2721]~E(x27211,x27212)+E(f504(x27213,x27214,x27211,x27215),f504(x27213,x27214,x27212,x27215))
% 190.77/190.69 [2722]~E(x27221,x27222)+E(f504(x27223,x27224,x27225,x27221),f504(x27223,x27224,x27225,x27222))
% 190.77/190.69 [2723]~E(x27231,x27232)+E(f716(x27231,x27233,x27234),f716(x27232,x27233,x27234))
% 190.77/190.69 [2724]~E(x27241,x27242)+E(f716(x27243,x27241,x27244),f716(x27243,x27242,x27244))
% 190.77/190.69 [2725]~E(x27251,x27252)+E(f716(x27253,x27254,x27251),f716(x27253,x27254,x27252))
% 190.77/190.69 [2726]~E(x27261,x27262)+E(f802(x27261,x27263),f802(x27262,x27263))
% 190.77/190.69 [2727]~E(x27271,x27272)+E(f802(x27273,x27271),f802(x27273,x27272))
% 190.77/190.69 [2728]~E(x27281,x27282)+E(f757(x27281,x27283),f757(x27282,x27283))
% 190.77/190.69 [2729]~E(x27291,x27292)+E(f757(x27293,x27291),f757(x27293,x27292))
% 190.77/190.69 [2730]~E(x27301,x27302)+E(f739(x27301,x27303,x27304),f739(x27302,x27303,x27304))
% 190.77/190.69 [2731]~E(x27311,x27312)+E(f739(x27313,x27311,x27314),f739(x27313,x27312,x27314))
% 190.77/190.69 [2732]~E(x27321,x27322)+E(f739(x27323,x27324,x27321),f739(x27323,x27324,x27322))
% 190.77/190.69 [2733]~E(x27331,x27332)+E(f451(x27331,x27333,x27334,x27335),f451(x27332,x27333,x27334,x27335))
% 190.77/190.69 [2734]~E(x27341,x27342)+E(f451(x27343,x27341,x27344,x27345),f451(x27343,x27342,x27344,x27345))
% 190.77/190.69 [2735]~E(x27351,x27352)+E(f451(x27353,x27354,x27351,x27355),f451(x27353,x27354,x27352,x27355))
% 190.77/190.69 [2736]~E(x27361,x27362)+E(f451(x27363,x27364,x27365,x27361),f451(x27363,x27364,x27365,x27362))
% 190.77/190.69 [2737]~E(x27371,x27372)+E(f353(x27371,x27373,x27374,x27375),f353(x27372,x27373,x27374,x27375))
% 190.77/190.69 [2738]~E(x27381,x27382)+E(f353(x27383,x27381,x27384,x27385),f353(x27383,x27382,x27384,x27385))
% 190.77/190.69 [2739]~E(x27391,x27392)+E(f353(x27393,x27394,x27391,x27395),f353(x27393,x27394,x27392,x27395))
% 190.77/190.69 [2740]~E(x27401,x27402)+E(f353(x27403,x27404,x27405,x27401),f353(x27403,x27404,x27405,x27402))
% 190.77/190.69 [2741]~E(x27411,x27412)+E(f871(x27411,x27413,x27414),f871(x27412,x27413,x27414))
% 190.77/190.69 [2742]~E(x27421,x27422)+E(f871(x27423,x27421,x27424),f871(x27423,x27422,x27424))
% 190.77/190.69 [2743]~E(x27431,x27432)+E(f871(x27433,x27434,x27431),f871(x27433,x27434,x27432))
% 190.77/190.69 [2744]~E(x27441,x27442)+E(f658(x27441,x27443),f658(x27442,x27443))
% 190.77/190.69 [2745]~E(x27451,x27452)+E(f658(x27453,x27451),f658(x27453,x27452))
% 190.77/190.69 [2746]~E(x27461,x27462)+E(f799(x27461,x27463,x27464),f799(x27462,x27463,x27464))
% 190.77/190.69 [2747]~E(x27471,x27472)+E(f799(x27473,x27471,x27474),f799(x27473,x27472,x27474))
% 190.77/190.69 [2748]~E(x27481,x27482)+E(f799(x27483,x27484,x27481),f799(x27483,x27484,x27482))
% 190.77/190.69 [2749]~E(x27491,x27492)+E(f866(x27491,x27493,x27494),f866(x27492,x27493,x27494))
% 190.77/190.69 [2750]~E(x27501,x27502)+E(f866(x27503,x27501,x27504),f866(x27503,x27502,x27504))
% 190.77/190.69 [2751]~E(x27511,x27512)+E(f866(x27513,x27514,x27511),f866(x27513,x27514,x27512))
% 190.77/190.69 [2752]~E(x27521,x27522)+E(f747(x27521,x27523,x27524),f747(x27522,x27523,x27524))
% 190.77/190.69 [2753]~E(x27531,x27532)+E(f747(x27533,x27531,x27534),f747(x27533,x27532,x27534))
% 190.77/190.69 [2754]~E(x27541,x27542)+E(f747(x27543,x27544,x27541),f747(x27543,x27544,x27542))
% 190.77/190.69 [2755]~E(x27551,x27552)+E(f321(x27551),f321(x27552))
% 190.77/190.69 [2756]~E(x27561,x27562)+E(f374(x27561),f374(x27562))
% 190.77/190.69 [2757]~E(x27571,x27572)+E(f522(x27571,x27573,x27574),f522(x27572,x27573,x27574))
% 190.77/190.69 [2758]~E(x27581,x27582)+E(f522(x27583,x27581,x27584),f522(x27583,x27582,x27584))
% 190.77/190.69 [2759]~E(x27591,x27592)+E(f522(x27593,x27594,x27591),f522(x27593,x27594,x27592))
% 190.77/190.69 [2760]~E(x27601,x27602)+E(f215(x27601,x27603,x27604,x27605,x27606),f215(x27602,x27603,x27604,x27605,x27606))
% 190.77/190.69 [2761]~E(x27611,x27612)+E(f215(x27613,x27611,x27614,x27615,x27616),f215(x27613,x27612,x27614,x27615,x27616))
% 190.77/190.69 [2762]~E(x27621,x27622)+E(f215(x27623,x27624,x27621,x27625,x27626),f215(x27623,x27624,x27622,x27625,x27626))
% 190.77/190.69 [2763]~E(x27631,x27632)+E(f215(x27633,x27634,x27635,x27631,x27636),f215(x27633,x27634,x27635,x27632,x27636))
% 190.77/190.69 [2764]~E(x27641,x27642)+E(f215(x27643,x27644,x27645,x27646,x27641),f215(x27643,x27644,x27645,x27646,x27642))
% 190.77/190.69 [2765]~P1(x27651)+P1(x27652)+~E(x27651,x27652)
% 190.77/190.69 [2766]~P149(x27661)+P149(x27662)+~E(x27661,x27662)
% 190.77/190.69 [2767]~P2(x27671)+P2(x27672)+~E(x27671,x27672)
% 190.77/190.69 [2768]P148(x27682,x27683,x27684)+~E(x27681,x27682)+~P148(x27681,x27683,x27684)
% 190.77/190.69 [2769]P148(x27693,x27692,x27694)+~E(x27691,x27692)+~P148(x27693,x27691,x27694)
% 190.77/190.69 [2770]P148(x27703,x27704,x27702)+~E(x27701,x27702)+~P148(x27703,x27704,x27701)
% 190.77/190.69 [2771]~P65(x27711)+P65(x27712)+~E(x27711,x27712)
% 190.77/190.69 [2772]~P81(x27721)+P81(x27722)+~E(x27721,x27722)
% 190.77/190.69 [2773]P51(x27732,x27733)+~E(x27731,x27732)+~P51(x27731,x27733)
% 190.77/190.69 [2774]P51(x27743,x27742)+~E(x27741,x27742)+~P51(x27743,x27741)
% 190.77/190.69 [2775]P50(x27752,x27753)+~E(x27751,x27752)+~P50(x27751,x27753)
% 190.77/190.69 [2776]P50(x27763,x27762)+~E(x27761,x27762)+~P50(x27763,x27761)
% 190.77/190.69 [2777]~P111(x27771)+P111(x27772)+~E(x27771,x27772)
% 190.77/190.69 [2778]~P82(x27781)+P82(x27782)+~E(x27781,x27782)
% 190.77/190.69 [2779]~P128(x27791)+P128(x27792)+~E(x27791,x27792)
% 190.77/190.69 [2780]~P107(x27801)+P107(x27802)+~E(x27801,x27802)
% 190.77/190.69 [2781]P36(x27812,x27813)+~E(x27811,x27812)+~P36(x27811,x27813)
% 190.77/190.69 [2782]P36(x27823,x27822)+~E(x27821,x27822)+~P36(x27823,x27821)
% 190.77/190.69 [2783]~P144(x27831)+P144(x27832)+~E(x27831,x27832)
% 190.77/190.69 [2784]P32(x27842,x27843,x27844)+~E(x27841,x27842)+~P32(x27841,x27843,x27844)
% 190.77/190.69 [2785]P32(x27853,x27852,x27854)+~E(x27851,x27852)+~P32(x27853,x27851,x27854)
% 190.77/190.69 [2786]P32(x27863,x27864,x27862)+~E(x27861,x27862)+~P32(x27863,x27864,x27861)
% 190.77/190.69 [2787]~P66(x27871)+P66(x27872)+~E(x27871,x27872)
% 190.77/190.69 [2788]~P67(x27881)+P67(x27882)+~E(x27881,x27882)
% 190.77/190.69 [2789]~P108(x27891)+P108(x27892)+~E(x27891,x27892)
% 190.77/190.69 [2790]~P109(x27901)+P109(x27902)+~E(x27901,x27902)
% 190.77/190.69 [2791]~P3(x27911)+P3(x27912)+~E(x27911,x27912)
% 190.77/190.69 [2792]~P77(x27921)+P77(x27922)+~E(x27921,x27922)
% 190.77/190.69 [2793]P13(x27932,x27933)+~E(x27931,x27932)+~P13(x27931,x27933)
% 190.77/190.69 [2794]P13(x27943,x27942)+~E(x27941,x27942)+~P13(x27943,x27941)
% 190.77/190.69 [2795]P24(x27952,x27953,x27954,x27955)+~E(x27951,x27952)+~P24(x27951,x27953,x27954,x27955)
% 190.77/190.69 [2796]P24(x27963,x27962,x27964,x27965)+~E(x27961,x27962)+~P24(x27963,x27961,x27964,x27965)
% 190.77/190.69 [2797]P24(x27973,x27974,x27972,x27975)+~E(x27971,x27972)+~P24(x27973,x27974,x27971,x27975)
% 190.77/190.69 [2798]P24(x27983,x27984,x27985,x27982)+~E(x27981,x27982)+~P24(x27983,x27984,x27985,x27981)
% 190.77/190.69 [2799]~P86(x27991)+P86(x27992)+~E(x27991,x27992)
% 190.77/190.69 [2800]~P83(x28001)+P83(x28002)+~E(x28001,x28002)
% 190.77/190.69 [2801]~P63(x28011)+P63(x28012)+~E(x28011,x28012)
% 190.77/190.69 [2802]P147(x28022,x28023,x28024)+~E(x28021,x28022)+~P147(x28021,x28023,x28024)
% 190.77/190.69 [2803]P147(x28033,x28032,x28034)+~E(x28031,x28032)+~P147(x28033,x28031,x28034)
% 190.77/190.69 [2804]P147(x28043,x28044,x28042)+~E(x28041,x28042)+~P147(x28043,x28044,x28041)
% 190.77/190.69 [2805]~P75(x28051)+P75(x28052)+~E(x28051,x28052)
% 190.77/190.69 [2806]P56(x28062,x28063,x28064,x28065,x28066)+~E(x28061,x28062)+~P56(x28061,x28063,x28064,x28065,x28066)
% 190.77/190.69 [2807]P56(x28073,x28072,x28074,x28075,x28076)+~E(x28071,x28072)+~P56(x28073,x28071,x28074,x28075,x28076)
% 190.77/190.69 [2808]P56(x28083,x28084,x28082,x28085,x28086)+~E(x28081,x28082)+~P56(x28083,x28084,x28081,x28085,x28086)
% 190.77/190.69 [2809]P56(x28093,x28094,x28095,x28092,x28096)+~E(x28091,x28092)+~P56(x28093,x28094,x28095,x28091,x28096)
% 190.77/190.69 [2810]P56(x28103,x28104,x28105,x28106,x28102)+~E(x28101,x28102)+~P56(x28103,x28104,x28105,x28106,x28101)
% 190.77/190.69 [2811]~P99(x28111)+P99(x28112)+~E(x28111,x28112)
% 190.77/190.69 [2812]~P110(x28121)+P110(x28122)+~E(x28121,x28122)
% 190.77/190.69 [2813]~P64(x28131)+P64(x28132)+~E(x28131,x28132)
% 190.77/190.69 [2814]P37(x28142,x28143)+~E(x28141,x28142)+~P37(x28141,x28143)
% 190.77/190.69 [2815]P37(x28153,x28152)+~E(x28151,x28152)+~P37(x28153,x28151)
% 190.77/190.69 [2816]~P76(x28161)+P76(x28162)+~E(x28161,x28162)
% 190.77/190.69 [2817]~P93(x28171)+P93(x28172)+~E(x28171,x28172)
% 190.77/190.69 [2818]P15(x28182,x28183)+~E(x28181,x28182)+~P15(x28181,x28183)
% 190.77/190.69 [2819]P15(x28193,x28192)+~E(x28191,x28192)+~P15(x28193,x28191)
% 190.77/190.69 [2820]~P112(x28201)+P112(x28202)+~E(x28201,x28202)
% 190.77/190.69 [2821]~P127(x28211)+P127(x28212)+~E(x28211,x28212)
% 190.77/190.69 [2822]~P39(x28221)+P39(x28222)+~E(x28221,x28222)
% 190.77/190.69 [2823]~P73(x28231)+P73(x28232)+~E(x28231,x28232)
% 190.77/190.69 [2824]~P132(x28241)+P132(x28242)+~E(x28241,x28242)
% 190.77/190.69 [2825]~P68(x28251)+P68(x28252)+~E(x28251,x28252)
% 190.77/190.69 [2826]P33(x28262,x28263,x28264,x28265,x28266)+~E(x28261,x28262)+~P33(x28261,x28263,x28264,x28265,x28266)
% 190.77/190.69 [2827]P33(x28273,x28272,x28274,x28275,x28276)+~E(x28271,x28272)+~P33(x28273,x28271,x28274,x28275,x28276)
% 190.77/190.69 [2828]P33(x28283,x28284,x28282,x28285,x28286)+~E(x28281,x28282)+~P33(x28283,x28284,x28281,x28285,x28286)
% 190.77/190.69 [2829]P33(x28293,x28294,x28295,x28292,x28296)+~E(x28291,x28292)+~P33(x28293,x28294,x28295,x28291,x28296)
% 190.77/190.69 [2830]P33(x28303,x28304,x28305,x28306,x28302)+~E(x28301,x28302)+~P33(x28303,x28304,x28305,x28306,x28301)
% 190.77/190.69 [2831]~P118(x28311)+P118(x28312)+~E(x28311,x28312)
% 190.77/190.69 [2832]~P69(x28321)+P69(x28322)+~E(x28321,x28322)
% 190.77/190.69 [2833]P27(x28332,x28333)+~E(x28331,x28332)+~P27(x28331,x28333)
% 190.77/190.69 [2834]P27(x28343,x28342)+~E(x28341,x28342)+~P27(x28343,x28341)
% 190.77/190.69 [2835]~P94(x28351)+P94(x28352)+~E(x28351,x28352)
% 190.77/190.69 [2836]~P84(x28361)+P84(x28362)+~E(x28361,x28362)
% 190.77/190.69 [2837]~P136(x28371)+P136(x28372)+~E(x28371,x28372)
% 190.77/190.69 [2838]~P126(x28381)+P126(x28382)+~E(x28381,x28382)
% 190.77/190.69 [2839]~P87(x28391)+P87(x28392)+~E(x28391,x28392)
% 190.77/190.69 [2840]~P61(x28401)+P61(x28402)+~E(x28401,x28402)
% 190.77/190.69 [2841]~P74(x28411)+P74(x28412)+~E(x28411,x28412)
% 190.77/190.69 [2842]~P70(x28421)+P70(x28422)+~E(x28421,x28422)
% 190.77/190.69 [2843]P25(x28432,x28433,x28434,x28435,x28436)+~E(x28431,x28432)+~P25(x28431,x28433,x28434,x28435,x28436)
% 190.77/190.69 [2844]P25(x28443,x28442,x28444,x28445,x28446)+~E(x28441,x28442)+~P25(x28443,x28441,x28444,x28445,x28446)
% 190.77/190.69 [2845]P25(x28453,x28454,x28452,x28455,x28456)+~E(x28451,x28452)+~P25(x28453,x28454,x28451,x28455,x28456)
% 190.77/190.69 [2846]P25(x28463,x28464,x28465,x28462,x28466)+~E(x28461,x28462)+~P25(x28463,x28464,x28465,x28461,x28466)
% 190.77/190.69 [2847]P25(x28473,x28474,x28475,x28476,x28472)+~E(x28471,x28472)+~P25(x28473,x28474,x28475,x28476,x28471)
% 190.77/190.69 [2848]~P5(x28481)+P5(x28482)+~E(x28481,x28482)
% 190.77/190.69 [2849]~P88(x28491)+P88(x28492)+~E(x28491,x28492)
% 190.77/190.69 [2850]P31(x28502,x28503,x28504,x28505)+~E(x28501,x28502)+~P31(x28501,x28503,x28504,x28505)
% 190.77/190.69 [2851]P31(x28513,x28512,x28514,x28515)+~E(x28511,x28512)+~P31(x28513,x28511,x28514,x28515)
% 190.77/190.69 [2852]P31(x28523,x28524,x28522,x28525)+~E(x28521,x28522)+~P31(x28523,x28524,x28521,x28525)
% 190.77/190.69 [2853]P31(x28533,x28534,x28535,x28532)+~E(x28531,x28532)+~P31(x28533,x28534,x28535,x28531)
% 190.77/190.69 [2854]~P96(x28541)+P96(x28542)+~E(x28541,x28542)
% 190.77/190.69 [2855]P34(x28552,x28553,x28554)+~E(x28551,x28552)+~P34(x28551,x28553,x28554)
% 190.77/190.69 [2856]P34(x28563,x28562,x28564)+~E(x28561,x28562)+~P34(x28563,x28561,x28564)
% 190.77/190.69 [2857]P34(x28573,x28574,x28572)+~E(x28571,x28572)+~P34(x28573,x28574,x28571)
% 190.77/190.69 [2858]~P85(x28581)+P85(x28582)+~E(x28581,x28582)
% 190.77/190.69 [2859]P23(x28592,x28593,x28594,x28595,x28596,x28597)+~E(x28591,x28592)+~P23(x28591,x28593,x28594,x28595,x28596,x28597)
% 190.77/190.69 [2860]P23(x28603,x28602,x28604,x28605,x28606,x28607)+~E(x28601,x28602)+~P23(x28603,x28601,x28604,x28605,x28606,x28607)
% 190.77/190.69 [2861]P23(x28613,x28614,x28612,x28615,x28616,x28617)+~E(x28611,x28612)+~P23(x28613,x28614,x28611,x28615,x28616,x28617)
% 190.77/190.69 [2862]P23(x28623,x28624,x28625,x28622,x28626,x28627)+~E(x28621,x28622)+~P23(x28623,x28624,x28625,x28621,x28626,x28627)
% 190.77/190.69 [2863]P23(x28633,x28634,x28635,x28636,x28632,x28637)+~E(x28631,x28632)+~P23(x28633,x28634,x28635,x28636,x28631,x28637)
% 190.77/190.69 [2864]P23(x28643,x28644,x28645,x28646,x28647,x28642)+~E(x28641,x28642)+~P23(x28643,x28644,x28645,x28646,x28647,x28641)
% 190.77/190.69 [2865]P7(x28652,x28653)+~E(x28651,x28652)+~P7(x28651,x28653)
% 190.77/190.69 [2866]P7(x28663,x28662)+~E(x28661,x28662)+~P7(x28663,x28661)
% 190.77/190.69 [2867]~P79(x28671)+P79(x28672)+~E(x28671,x28672)
% 190.77/190.69 [2868]P16(x28682,x28683,x28684)+~E(x28681,x28682)+~P16(x28681,x28683,x28684)
% 190.77/190.69 [2869]P16(x28693,x28692,x28694)+~E(x28691,x28692)+~P16(x28693,x28691,x28694)
% 190.77/190.69 [2870]P16(x28703,x28704,x28702)+~E(x28701,x28702)+~P16(x28703,x28704,x28701)
% 190.77/190.69 [2871]~P4(x28711)+P4(x28712)+~E(x28711,x28712)
% 190.77/190.69 [2872]P8(x28722,x28723,x28724)+~E(x28721,x28722)+~P8(x28721,x28723,x28724)
% 190.77/190.69 [2873]P8(x28733,x28732,x28734)+~E(x28731,x28732)+~P8(x28733,x28731,x28734)
% 190.77/190.69 [2874]P8(x28743,x28744,x28742)+~E(x28741,x28742)+~P8(x28743,x28744,x28741)
% 190.77/190.69 [2875]P57(x28752,x28753)+~E(x28751,x28752)+~P57(x28751,x28753)
% 190.77/190.69 [2876]P57(x28763,x28762)+~E(x28761,x28762)+~P57(x28763,x28761)
% 190.77/190.69 [2877]~P98(x28771)+P98(x28772)+~E(x28771,x28772)
% 190.77/190.69 [2878]~P105(x28781)+P105(x28782)+~E(x28781,x28782)
% 190.77/190.69 [2879]P19(x28792,x28793,x28794,x28795)+~E(x28791,x28792)+~P19(x28791,x28793,x28794,x28795)
% 190.77/190.69 [2880]P19(x28803,x28802,x28804,x28805)+~E(x28801,x28802)+~P19(x28803,x28801,x28804,x28805)
% 190.77/190.69 [2881]P19(x28813,x28814,x28812,x28815)+~E(x28811,x28812)+~P19(x28813,x28814,x28811,x28815)
% 190.77/190.69 [2882]P19(x28823,x28824,x28825,x28822)+~E(x28821,x28822)+~P19(x28823,x28824,x28825,x28821)
% 190.77/190.69 [2883]~P130(x28831)+P130(x28832)+~E(x28831,x28832)
% 190.77/190.69 [2884]~P146(x28841)+P146(x28842)+~E(x28841,x28842)
% 190.77/190.69 [2885]~P135(x28851)+P135(x28852)+~E(x28851,x28852)
% 190.77/190.69 [2886]~P92(x28861)+P92(x28862)+~E(x28861,x28862)
% 190.77/190.69 [2887]~P80(x28871)+P80(x28872)+~E(x28871,x28872)
% 190.77/190.69 [2888]~P129(x28881)+P129(x28882)+~E(x28881,x28882)
% 190.77/190.69 [2889]~P60(x28891)+P60(x28892)+~E(x28891,x28892)
% 190.77/190.69 [2890]~P134(x28901)+P134(x28902)+~E(x28901,x28902)
% 190.77/190.69 [2891]P28(x28912,x28913,x28914)+~E(x28911,x28912)+~P28(x28911,x28913,x28914)
% 190.77/190.69 [2892]P28(x28923,x28922,x28924)+~E(x28921,x28922)+~P28(x28923,x28921,x28924)
% 190.77/190.69 [2893]P28(x28933,x28934,x28932)+~E(x28931,x28932)+~P28(x28933,x28934,x28931)
% 190.77/190.69 [2894]~P137(x28941)+P137(x28942)+~E(x28941,x28942)
% 190.77/190.69 [2895]~P141(x28951)+P141(x28952)+~E(x28951,x28952)
% 190.77/190.69 [2896]P150(x28962,x28963)+~E(x28961,x28962)+~P150(x28961,x28963)
% 190.77/190.69 [2897]P150(x28973,x28972)+~E(x28971,x28972)+~P150(x28973,x28971)
% 190.77/190.69 [2898]~P6(x28981)+P6(x28982)+~E(x28981,x28982)
% 190.77/190.69 [2899]~P114(x28991)+P114(x28992)+~E(x28991,x28992)
% 190.77/190.69 [2900]~P71(x29001)+P71(x29002)+~E(x29001,x29002)
% 190.77/190.69 [2901]~P143(x29011)+P143(x29012)+~E(x29011,x29012)
% 190.77/190.69 [2902]~P142(x29021)+P142(x29022)+~E(x29021,x29022)
% 190.77/190.69 [2903]~P133(x29031)+P133(x29032)+~E(x29031,x29032)
% 190.77/190.69 [2904]P52(x29042,x29043,x29044)+~E(x29041,x29042)+~P52(x29041,x29043,x29044)
% 190.77/190.69 [2905]P52(x29053,x29052,x29054)+~E(x29051,x29052)+~P52(x29053,x29051,x29054)
% 190.77/190.69 [2906]P52(x29063,x29064,x29062)+~E(x29061,x29062)+~P52(x29063,x29064,x29061)
% 190.77/190.69 [2907]~P123(x29071)+P123(x29072)+~E(x29071,x29072)
% 190.77/190.69 [2908]~P104(x29081)+P104(x29082)+~E(x29081,x29082)
% 190.77/190.69 [2909]~P140(x29091)+P140(x29092)+~E(x29091,x29092)
% 190.77/190.69 [2910]P59(x29102,x29103)+~E(x29101,x29102)+~P59(x29101,x29103)
% 190.77/190.69 [2911]P59(x29113,x29112)+~E(x29111,x29112)+~P59(x29113,x29111)
% 190.77/190.69 [2912]P10(x29122,x29123,x29124,x29125,x29126)+~E(x29121,x29122)+~P10(x29121,x29123,x29124,x29125,x29126)
% 190.77/190.69 [2913]P10(x29133,x29132,x29134,x29135,x29136)+~E(x29131,x29132)+~P10(x29133,x29131,x29134,x29135,x29136)
% 190.77/190.69 [2914]P10(x29143,x29144,x29142,x29145,x29146)+~E(x29141,x29142)+~P10(x29143,x29144,x29141,x29145,x29146)
% 190.77/190.69 [2915]P10(x29153,x29154,x29155,x29152,x29156)+~E(x29151,x29152)+~P10(x29153,x29154,x29155,x29151,x29156)
% 190.77/190.69 [2916]P10(x29163,x29164,x29165,x29166,x29162)+~E(x29161,x29162)+~P10(x29163,x29164,x29165,x29166,x29161)
% 190.77/190.69 [2917]~P113(x29171)+P113(x29172)+~E(x29171,x29172)
% 190.77/190.69 [2918]P43(x29182,x29183)+~E(x29181,x29182)+~P43(x29181,x29183)
% 190.77/190.69 [2919]P43(x29193,x29192)+~E(x29191,x29192)+~P43(x29193,x29191)
% 190.77/190.69 [2920]P14(x29202,x29203,x29204)+~E(x29201,x29202)+~P14(x29201,x29203,x29204)
% 190.77/190.69 [2921]P14(x29213,x29212,x29214)+~E(x29211,x29212)+~P14(x29213,x29211,x29214)
% 190.77/190.69 [2922]P14(x29223,x29224,x29222)+~E(x29221,x29222)+~P14(x29223,x29224,x29221)
% 190.77/190.69 [2923]~P122(x29231)+P122(x29232)+~E(x29231,x29232)
% 190.77/190.69 [2924]~P103(x29241)+P103(x29242)+~E(x29241,x29242)
% 190.77/190.69 [2925]P58(x29252,x29253,x29254,x29255)+~E(x29251,x29252)+~P58(x29251,x29253,x29254,x29255)
% 190.77/190.69 [2926]P58(x29263,x29262,x29264,x29265)+~E(x29261,x29262)+~P58(x29263,x29261,x29264,x29265)
% 190.77/190.69 [2927]P58(x29273,x29274,x29272,x29275)+~E(x29271,x29272)+~P58(x29273,x29274,x29271,x29275)
% 190.77/190.69 [2928]P58(x29283,x29284,x29285,x29282)+~E(x29281,x29282)+~P58(x29283,x29284,x29285,x29281)
% 190.77/190.69 [2929]~P100(x29291)+P100(x29292)+~E(x29291,x29292)
% 190.77/190.69 [2930]P20(x29302,x29303,x29304,x29305)+~E(x29301,x29302)+~P20(x29301,x29303,x29304,x29305)
% 190.77/190.69 [2931]P20(x29313,x29312,x29314,x29315)+~E(x29311,x29312)+~P20(x29313,x29311,x29314,x29315)
% 190.77/190.69 [2932]P20(x29323,x29324,x29322,x29325)+~E(x29321,x29322)+~P20(x29323,x29324,x29321,x29325)
% 190.77/190.69 [2933]P20(x29333,x29334,x29335,x29332)+~E(x29331,x29332)+~P20(x29333,x29334,x29335,x29331)
% 190.77/190.69 [2934]~P139(x29341)+P139(x29342)+~E(x29341,x29342)
% 190.77/190.69 [2935]~P125(x29351)+P125(x29352)+~E(x29351,x29352)
% 190.77/190.69 [2936]P55(x29362,x29363,x29364)+~E(x29361,x29362)+~P55(x29361,x29363,x29364)
% 190.77/190.69 [2937]P55(x29373,x29372,x29374)+~E(x29371,x29372)+~P55(x29373,x29371,x29374)
% 190.77/190.69 [2938]P55(x29383,x29384,x29382)+~E(x29381,x29382)+~P55(x29383,x29384,x29381)
% 190.77/190.69 [2939]~P95(x29391)+P95(x29392)+~E(x29391,x29392)
% 190.77/190.69 [2940]~P115(x29401)+P115(x29402)+~E(x29401,x29402)
% 190.77/190.69 [2941]P41(x29412,x29413,x29414,x29415,x29416,x29417)+~E(x29411,x29412)+~P41(x29411,x29413,x29414,x29415,x29416,x29417)
% 190.77/190.69 [2942]P41(x29423,x29422,x29424,x29425,x29426,x29427)+~E(x29421,x29422)+~P41(x29423,x29421,x29424,x29425,x29426,x29427)
% 190.77/190.69 [2943]P41(x29433,x29434,x29432,x29435,x29436,x29437)+~E(x29431,x29432)+~P41(x29433,x29434,x29431,x29435,x29436,x29437)
% 190.77/190.69 [2944]P41(x29443,x29444,x29445,x29442,x29446,x29447)+~E(x29441,x29442)+~P41(x29443,x29444,x29445,x29441,x29446,x29447)
% 190.77/190.69 [2945]P41(x29453,x29454,x29455,x29456,x29452,x29457)+~E(x29451,x29452)+~P41(x29453,x29454,x29455,x29456,x29451,x29457)
% 190.77/190.69 [2946]P41(x29463,x29464,x29465,x29466,x29467,x29462)+~E(x29461,x29462)+~P41(x29463,x29464,x29465,x29466,x29467,x29461)
% 190.77/190.69 [2947]P11(x29472,x29473,x29474,x29475)+~E(x29471,x29472)+~P11(x29471,x29473,x29474,x29475)
% 190.77/190.69 [2948]P11(x29483,x29482,x29484,x29485)+~E(x29481,x29482)+~P11(x29483,x29481,x29484,x29485)
% 190.77/190.69 [2949]P11(x29493,x29494,x29492,x29495)+~E(x29491,x29492)+~P11(x29493,x29494,x29491,x29495)
% 190.77/190.69 [2950]P11(x29503,x29504,x29505,x29502)+~E(x29501,x29502)+~P11(x29503,x29504,x29505,x29501)
% 190.77/190.69 [2951]P42(x29512,x29513)+~E(x29511,x29512)+~P42(x29511,x29513)
% 190.77/190.69 [2952]P42(x29523,x29522)+~E(x29521,x29522)+~P42(x29523,x29521)
% 190.77/190.69 [2953]P21(x29532,x29533,x29534,x29535,x29536)+~E(x29531,x29532)+~P21(x29531,x29533,x29534,x29535,x29536)
% 190.77/190.69 [2954]P21(x29543,x29542,x29544,x29545,x29546)+~E(x29541,x29542)+~P21(x29543,x29541,x29544,x29545,x29546)
% 190.77/190.69 [2955]P21(x29553,x29554,x29552,x29555,x29556)+~E(x29551,x29552)+~P21(x29553,x29554,x29551,x29555,x29556)
% 190.77/190.69 [2956]P21(x29563,x29564,x29565,x29562,x29566)+~E(x29561,x29562)+~P21(x29563,x29564,x29565,x29561,x29566)
% 190.77/190.69 [2957]P21(x29573,x29574,x29575,x29576,x29572)+~E(x29571,x29572)+~P21(x29573,x29574,x29575,x29576,x29571)
% 190.77/190.69 [2958]~P121(x29581)+P121(x29582)+~E(x29581,x29582)
% 190.77/190.69 [2959]~P138(x29591)+P138(x29592)+~E(x29591,x29592)
% 190.77/190.69 [2960]P26(x29602,x29603)+~E(x29601,x29602)+~P26(x29601,x29603)
% 190.77/190.69 [2961]P26(x29613,x29612)+~E(x29611,x29612)+~P26(x29613,x29611)
% 190.77/190.69 [2962]~P145(x29621)+P145(x29622)+~E(x29621,x29622)
% 190.77/190.69 [2963]P18(x29632,x29633,x29634)+~E(x29631,x29632)+~P18(x29631,x29633,x29634)
% 190.77/190.69 [2964]P18(x29643,x29642,x29644)+~E(x29641,x29642)+~P18(x29643,x29641,x29644)
% 190.77/190.69 [2965]P18(x29653,x29654,x29652)+~E(x29651,x29652)+~P18(x29653,x29654,x29651)
% 190.77/190.69 [2966]P53(x29662,x29663)+~E(x29661,x29662)+~P53(x29661,x29663)
% 190.77/190.69 [2967]P53(x29673,x29672)+~E(x29671,x29672)+~P53(x29673,x29671)
% 190.77/190.69 [2968]P54(x29682,x29683,x29684)+~E(x29681,x29682)+~P54(x29681,x29683,x29684)
% 190.77/190.69 [2969]P54(x29693,x29692,x29694)+~E(x29691,x29692)+~P54(x29693,x29691,x29694)
% 190.77/190.69 [2970]P54(x29703,x29704,x29702)+~E(x29701,x29702)+~P54(x29703,x29704,x29701)
% 190.77/190.69 [2971]~P119(x29711)+P119(x29712)+~E(x29711,x29712)
% 190.77/190.69 [2972]P30(x29722,x29723,x29724)+~E(x29721,x29722)+~P30(x29721,x29723,x29724)
% 190.77/190.69 [2973]P30(x29733,x29732,x29734)+~E(x29731,x29732)+~P30(x29733,x29731,x29734)
% 190.77/190.69 [2974]P30(x29743,x29744,x29742)+~E(x29741,x29742)+~P30(x29743,x29744,x29741)
% 190.77/190.69 [2975]P49(x29752,x29753)+~E(x29751,x29752)+~P49(x29751,x29753)
% 190.77/190.69 [2976]P49(x29763,x29762)+~E(x29761,x29762)+~P49(x29763,x29761)
% 190.77/190.69 [2977]P17(x29772,x29773,x29774)+~E(x29771,x29772)+~P17(x29771,x29773,x29774)
% 190.77/190.69 [2978]P17(x29783,x29782,x29784)+~E(x29781,x29782)+~P17(x29783,x29781,x29784)
% 190.77/190.69 [2979]P17(x29793,x29794,x29792)+~E(x29791,x29792)+~P17(x29793,x29794,x29791)
% 190.77/190.69 [2980]~P120(x29801)+P120(x29802)+~E(x29801,x29802)
% 190.77/190.69 [2981]P9(x29812,x29813,x29814)+~E(x29811,x29812)+~P9(x29811,x29813,x29814)
% 190.77/190.69 [2982]P9(x29823,x29822,x29824)+~E(x29821,x29822)+~P9(x29823,x29821,x29824)
% 190.77/190.69 [2983]P9(x29833,x29834,x29832)+~E(x29831,x29832)+~P9(x29833,x29834,x29831)
% 190.77/190.69 [2984]~P131(x29841)+P131(x29842)+~E(x29841,x29842)
% 190.77/190.69 [2985]P38(x29852,x29853)+~E(x29851,x29852)+~P38(x29851,x29853)
% 190.77/190.69 [2986]P38(x29863,x29862)+~E(x29861,x29862)+~P38(x29863,x29861)
% 190.77/190.69 [2987]~P62(x29871)+P62(x29872)+~E(x29871,x29872)
% 190.77/190.69 [2988]~P116(x29881)+P116(x29882)+~E(x29881,x29882)
% 190.77/190.69 [2989]~P102(x29891)+P102(x29892)+~E(x29891,x29892)
% 190.77/190.69 [2990]P22(x29902,x29903,x29904,x29905,x29906,x29907)+~E(x29901,x29902)+~P22(x29901,x29903,x29904,x29905,x29906,x29907)
% 190.77/190.69 [2991]P22(x29913,x29912,x29914,x29915,x29916,x29917)+~E(x29911,x29912)+~P22(x29913,x29911,x29914,x29915,x29916,x29917)
% 190.77/190.69 [2992]P22(x29923,x29924,x29922,x29925,x29926,x29927)+~E(x29921,x29922)+~P22(x29923,x29924,x29921,x29925,x29926,x29927)
% 190.77/190.69 [2993]P22(x29933,x29934,x29935,x29932,x29936,x29937)+~E(x29931,x29932)+~P22(x29933,x29934,x29935,x29931,x29936,x29937)
% 190.77/190.69 [2994]P22(x29943,x29944,x29945,x29946,x29942,x29947)+~E(x29941,x29942)+~P22(x29943,x29944,x29945,x29946,x29941,x29947)
% 190.77/190.69 [2995]P22(x29953,x29954,x29955,x29956,x29957,x29952)+~E(x29951,x29952)+~P22(x29953,x29954,x29955,x29956,x29957,x29951)
% 190.77/190.69 [2996]~P91(x29961)+P91(x29962)+~E(x29961,x29962)
% 190.77/190.69 [2997]P40(x29972,x29973,x29974,x29975)+~E(x29971,x29972)+~P40(x29971,x29973,x29974,x29975)
% 190.77/190.69 [2998]P40(x29983,x29982,x29984,x29985)+~E(x29981,x29982)+~P40(x29983,x29981,x29984,x29985)
% 190.77/190.69 [2999]P40(x29993,x29994,x29992,x29995)+~E(x29991,x29992)+~P40(x29993,x29994,x29991,x29995)
% 190.77/190.69 [3000]P40(x30003,x30004,x30005,x30002)+~E(x30001,x30002)+~P40(x30003,x30004,x30005,x30001)
% 190.77/190.69 [3001]~P89(x30011)+P89(x30012)+~E(x30011,x30012)
% 190.77/190.69 [3002]P29(x30022,x30023,x30024)+~E(x30021,x30022)+~P29(x30021,x30023,x30024)
% 190.77/190.69 [3003]P29(x30033,x30032,x30034)+~E(x30031,x30032)+~P29(x30033,x30031,x30034)
% 190.77/190.69 [3004]P29(x30043,x30044,x30042)+~E(x30041,x30042)+~P29(x30043,x30044,x30041)
% 190.77/190.69 [3005]P46(x30052,x30053,x30054)+~E(x30051,x30052)+~P46(x30051,x30053,x30054)
% 190.77/190.69 [3006]P46(x30063,x30062,x30064)+~E(x30061,x30062)+~P46(x30063,x30061,x30064)
% 190.77/190.69 [3007]P46(x30073,x30074,x30072)+~E(x30071,x30072)+~P46(x30073,x30074,x30071)
% 190.77/190.69 [3008]~P35(x30081)+P35(x30082)+~E(x30081,x30082)
% 190.77/190.69 [3009]~P101(x30091)+P101(x30092)+~E(x30091,x30092)
% 190.77/190.69 [3010]~P97(x30101)+P97(x30102)+~E(x30101,x30102)
% 190.77/190.69 [3011]~P44(x30111)+P44(x30112)+~E(x30111,x30112)
% 190.77/190.69 [3012]P12(x30122,x30123,x30124,x30125,x30126,x30127)+~E(x30121,x30122)+~P12(x30121,x30123,x30124,x30125,x30126,x30127)
% 190.77/190.69 [3013]P12(x30133,x30132,x30134,x30135,x30136,x30137)+~E(x30131,x30132)+~P12(x30133,x30131,x30134,x30135,x30136,x30137)
% 190.77/190.69 [3014]P12(x30143,x30144,x30142,x30145,x30146,x30147)+~E(x30141,x30142)+~P12(x30143,x30144,x30141,x30145,x30146,x30147)
% 190.77/190.69 [3015]P12(x30153,x30154,x30155,x30152,x30156,x30157)+~E(x30151,x30152)+~P12(x30153,x30154,x30155,x30151,x30156,x30157)
% 190.77/190.69 [3016]P12(x30163,x30164,x30165,x30166,x30162,x30167)+~E(x30161,x30162)+~P12(x30163,x30164,x30165,x30166,x30161,x30167)
% 190.77/190.69 [3017]P12(x30173,x30174,x30175,x30176,x30177,x30172)+~E(x30171,x30172)+~P12(x30173,x30174,x30175,x30176,x30177,x30171)
% 190.77/190.69 [3018]P48(x30182,x30183,x30184,x30185)+~E(x30181,x30182)+~P48(x30181,x30183,x30184,x30185)
% 190.77/190.69 [3019]P48(x30193,x30192,x30194,x30195)+~E(x30191,x30192)+~P48(x30193,x30191,x30194,x30195)
% 190.77/190.69 [3020]P48(x30203,x30204,x30202,x30205)+~E(x30201,x30202)+~P48(x30203,x30204,x30201,x30205)
% 190.77/190.69 [3021]P48(x30213,x30214,x30215,x30212)+~E(x30211,x30212)+~P48(x30213,x30214,x30215,x30211)
% 190.77/190.69 [3022]~P72(x30221)+P72(x30222)+~E(x30221,x30222)
% 190.77/190.69 [3023]~P106(x30231)+P106(x30232)+~E(x30231,x30232)
% 190.77/190.69 [3024]~P117(x30241)+P117(x30242)+~E(x30241,x30242)
% 190.77/190.69 [3025]~P78(x30251)+P78(x30252)+~E(x30251,x30252)
% 190.77/190.69 [3026]~P90(x30261)+P90(x30262)+~E(x30261,x30262)
% 190.77/190.69 [3027]P47(x30272,x30273,x30274)+~E(x30271,x30272)+~P47(x30271,x30273,x30274)
% 190.77/190.69 [3028]P47(x30283,x30282,x30284)+~E(x30281,x30282)+~P47(x30283,x30281,x30284)
% 190.77/190.69 [3029]P47(x30293,x30294,x30292)+~E(x30291,x30292)+~P47(x30293,x30294,x30291)
% 190.77/190.69 [3030]P45(x30302,x30303)+~E(x30301,x30302)+~P45(x30301,x30303)
% 190.77/190.69 [3031]P45(x30313,x30312)+~E(x30311,x30312)+~P45(x30313,x30311)
% 190.77/190.69 [3032]~P124(x30321)+P124(x30322)+~E(x30321,x30322)
% 190.77/190.69
% 190.77/190.69 %-------------------------------------------
% 190.85/190.73 cnf(10397,plain,
% 190.85/190.73 (~E(f836(a102,x103971),x103971)),
% 190.85/190.73 inference(rename_variables,[],[4572])).
% 190.85/190.73 cnf(10407,plain,
% 190.85/190.73 (~E(f836(a102,x104071),x104071)),
% 190.85/190.73 inference(rename_variables,[],[4572])).
% 190.85/190.73 cnf(10420,plain,
% 190.85/190.73 (~E(f836(a102,x104201),x104201)),
% 190.85/190.73 inference(rename_variables,[],[4572])).
% 190.85/190.73 cnf(10425,plain,
% 190.85/190.73 (~P1(f836(f836(f162(x104251),f103(x104251)),x104252))),
% 190.85/190.73 inference(rename_variables,[],[4612])).
% 190.85/190.73 cnf(10428,plain,
% 190.85/190.73 (~P1(f836(f836(f162(x104281),f103(x104281)),x104282))),
% 190.85/190.73 inference(rename_variables,[],[4612])).
% 190.85/190.73 cnf(10431,plain,
% 190.85/190.73 (~E(f836(a102,x104311),x104311)),
% 190.85/190.73 inference(rename_variables,[],[4572])).
% 190.85/190.73 cnf(10434,plain,
% 190.85/190.73 (~P1(f836(f836(f225(a899),x104341),f2(a899)))),
% 190.85/190.73 inference(rename_variables,[],[4609])).
% 190.85/190.73 cnf(10437,plain,
% 190.85/190.73 (~P1(f836(f836(f225(a899),x104371),f2(a899)))),
% 190.85/190.73 inference(rename_variables,[],[4609])).
% 190.85/190.73 cnf(10450,plain,
% 190.85/190.73 (~P1(f836(f178(f906(x104501,a895)),x104502))),
% 190.85/190.73 inference(scs_inference,[],[4572,10397,10407,10420,3226,3265,3329,3261,3270,3413,4609,10434,4606,4580,4612,10425,4610,3406,4598,4630,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109])).
% 190.85/190.73 cnf(10454,plain,
% 190.85/190.73 (~P1(f836(f836(f224(a899),f836(a102,x104541)),x104541))),
% 190.85/190.73 inference(rename_variables,[],[4613])).
% 190.85/190.73 cnf(10457,plain,
% 190.85/190.73 (~E(f836(f836(f141(x104571),x104572),x104573),x104573)),
% 190.85/190.73 inference(rename_variables,[],[4585])).
% 190.85/190.73 cnf(10463,plain,
% 190.85/190.73 (~P1(f836(f836(f225(a899),x104631),f2(a899)))),
% 190.85/190.73 inference(rename_variables,[],[4609])).
% 190.85/190.73 cnf(10466,plain,
% 190.85/190.73 (E(f836(f274(x104661,x104661),f253(x104661,x104662)),x104662)),
% 190.85/190.73 inference(rename_variables,[],[3390])).
% 190.85/190.73 cnf(10469,plain,
% 190.85/190.73 (E(f836(f274(x104691,x104691),f253(x104691,x104692)),x104692)),
% 190.85/190.73 inference(rename_variables,[],[3390])).
% 190.85/190.73 cnf(10474,plain,
% 190.85/190.73 (~P1(f836(f836(f225(a899),x104741),x104741))),
% 190.85/190.73 inference(rename_variables,[],[4605])).
% 190.85/190.73 cnf(10479,plain,
% 190.85/190.73 (~P1(f836(f836(f225(a899),f836(f836(f74(a899),x104791),x104792)),x104792))),
% 190.85/190.73 inference(rename_variables,[],[4628])).
% 190.85/190.73 cnf(10482,plain,
% 190.85/190.73 (~P1(f836(f836(f225(a899),f836(f836(f74(a899),x104821),x104822)),x104822))),
% 190.85/190.73 inference(rename_variables,[],[4628])).
% 190.85/190.73 cnf(10489,plain,
% 190.85/190.73 (~E(x104891,f836(a102,x104891))),
% 190.85/190.73 inference(scs_inference,[],[4572,10397,10407,10420,3226,3390,10466,3265,3329,3261,3289,3270,4585,3496,3413,4609,10434,10437,4606,4580,4612,10425,4605,4613,4238,4610,3406,4598,4630,4628,10479,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245])).
% 190.85/190.73 cnf(10503,plain,
% 190.85/190.73 (~P1(f836(f836(f225(a899),x105031),x105031))),
% 190.85/190.73 inference(rename_variables,[],[4605])).
% 190.85/190.73 cnf(10506,plain,
% 190.85/190.73 (P1(f836(f836(f224(a899),f41(a899,x105061,x105062)),x105061))),
% 190.85/190.73 inference(rename_variables,[],[3880])).
% 190.85/190.73 cnf(10527,plain,
% 190.85/190.73 (E(f836(f30(a899),f836(f272(a899),x105271)),x105271)),
% 190.85/190.73 inference(rename_variables,[],[3324])).
% 190.85/190.73 cnf(10535,plain,
% 190.85/190.73 (~E(f836(a102,x105351),x105351)),
% 190.85/190.73 inference(rename_variables,[],[4572])).
% 190.85/190.73 cnf(10538,plain,
% 190.85/190.73 (~E(f836(a102,x105381),x105381)),
% 190.85/190.73 inference(rename_variables,[],[4572])).
% 190.85/190.73 cnf(10541,plain,
% 190.85/190.73 (~E(f836(a102,x105411),x105411)),
% 190.85/190.73 inference(rename_variables,[],[4572])).
% 190.85/190.73 cnf(10543,plain,
% 190.85/190.73 (P1(f836(a183,a87))),
% 190.85/190.73 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,3226,3390,10466,3265,3329,3261,3289,3270,3360,4585,3324,4633,3345,3496,3413,4609,10434,10437,4005,3432,4606,4580,4612,10425,4605,10474,10503,3522,3941,3880,4613,10454,4238,4610,4597,3406,4598,4630,4628,10479,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385])).
% 190.85/190.73 cnf(10546,plain,
% 190.85/190.73 (P1(f836(f836(f225(a899),x105461),f836(a102,x105461)))),
% 190.85/190.73 inference(rename_variables,[],[3496])).
% 190.85/190.73 cnf(10555,plain,
% 190.85/190.73 (P1(f836(f836(f224(a899),x105551),x105551))),
% 190.85/190.73 inference(rename_variables,[],[3429])).
% 190.85/190.73 cnf(10562,plain,
% 190.85/190.73 (E(f836(f274(x105621,x105621),f253(x105621,x105622)),x105622)),
% 190.85/190.73 inference(rename_variables,[],[3390])).
% 190.85/190.73 cnf(10565,plain,
% 190.85/190.73 (E(f836(f274(x105651,x105651),f253(x105651,x105652)),x105652)),
% 190.85/190.73 inference(rename_variables,[],[3390])).
% 190.85/190.73 cnf(10586,plain,
% 190.85/190.73 (~P1(f836(f836(f225(a899),x105861),f2(a899)))),
% 190.85/190.73 inference(rename_variables,[],[4609])).
% 190.85/190.73 cnf(10589,plain,
% 190.85/190.73 (P1(f836(f836(f224(f906(x105891,a895)),x105892),f232(f906(x105891,a895))))),
% 190.85/190.73 inference(rename_variables,[],[3806])).
% 190.85/190.73 cnf(10594,plain,
% 190.85/190.73 (~P1(f836(f836(f162(x105941),f103(x105941)),x105942))),
% 190.85/190.73 inference(rename_variables,[],[4612])).
% 190.85/190.73 cnf(10600,plain,
% 190.85/190.73 (E(f836(f836(f74(a899),x106001),f376(x106001,x106001)),x106001)),
% 190.85/190.73 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,3226,3390,10466,10469,10562,3265,3329,3261,3289,3270,3360,4585,3324,4197,4633,3345,3496,10546,3413,4609,10434,10437,10463,3862,4005,3458,3459,3432,4606,4580,4612,10425,10428,4147,3806,3429,10555,4605,10474,10503,3522,3941,3880,10506,4613,10454,4238,4610,4597,3406,4598,4630,3903,4628,10479,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532])).
% 190.85/190.73 cnf(10623,plain,
% 190.85/190.73 (~E(f836(f836(f141(x106231),x106232),x106233),x106233)),
% 190.85/190.73 inference(rename_variables,[],[4585])).
% 190.85/190.73 cnf(10626,plain,
% 190.85/190.73 (~E(f836(a102,x106261),f2(a899))),
% 190.85/190.73 inference(rename_variables,[],[4578])).
% 190.85/190.73 cnf(10637,plain,
% 190.85/190.73 (P1(f836(f836(f224(a1),x106371),x106371))),
% 190.85/190.73 inference(rename_variables,[],[3430])).
% 190.85/190.73 cnf(10642,plain,
% 190.85/190.73 (~E(f836(a102,x106421),x106421)),
% 190.85/190.73 inference(rename_variables,[],[4572])).
% 190.85/190.73 cnf(10645,plain,
% 190.85/190.73 (~P1(f836(f836(f178(f906(x106451,f906(x106452,a895))),x106453),x106454))),
% 190.85/190.73 inference(rename_variables,[],[4631])).
% 190.85/190.73 cnf(10652,plain,
% 190.85/190.73 (P1(f836(f836(f224(a899),x106521),x106521))),
% 190.85/190.73 inference(rename_variables,[],[3429])).
% 190.85/190.73 cnf(10665,plain,
% 190.85/190.73 (P1(f836(f836(f225(a899),x106651),f836(a102,x106651)))),
% 190.85/190.73 inference(rename_variables,[],[3496])).
% 190.85/190.73 cnf(10686,plain,
% 190.85/190.73 (P1(f836(f836(f224(f906(x106861,a895)),x106862),f232(f906(x106861,a895))))),
% 190.85/190.73 inference(rename_variables,[],[3806])).
% 190.85/190.73 cnf(10689,plain,
% 190.85/190.73 (~P1(f836(f836(f162(x106891),f103(x106891)),x106892))),
% 190.85/190.73 inference(rename_variables,[],[4612])).
% 190.85/190.73 cnf(10708,plain,
% 190.85/190.73 (~P1(f836(f836(f162(x107081),f103(x107081)),x107082))),
% 190.85/190.73 inference(rename_variables,[],[4612])).
% 190.85/190.73 cnf(10715,plain,
% 190.85/190.73 (~P1(f836(f836(f162(x107151),f103(x107151)),x107152))),
% 190.85/190.73 inference(rename_variables,[],[4612])).
% 190.85/190.73 cnf(10723,plain,
% 190.85/190.73 (E(f836(f836(f234(a899),f836(f94(a899),a87)),x107231),f836(f836(f234(a899),f2(a899)),x107231))),
% 190.85/190.73 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,10541,4578,3226,3390,10466,10469,10562,3265,3329,3261,3289,3270,3894,3360,4585,10457,3324,4197,4633,3345,3788,3496,10546,10665,3413,4609,10434,10437,10463,10586,4621,3862,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,4147,3806,10589,3429,10555,10652,3430,4605,10474,10503,3522,3941,3880,10506,4613,10454,4238,4610,4597,3406,3410,4599,4598,4630,4631,3903,4628,10479,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913])).
% 190.85/190.73 cnf(10726,plain,
% 190.85/190.73 (~E(f836(a102,x107261),f2(a899))),
% 190.85/190.73 inference(rename_variables,[],[4578])).
% 190.85/190.73 cnf(10731,plain,
% 190.85/190.73 (P1(f836(f836(f318(x107311),x107312),f232(f906(x107311,a895))))),
% 190.85/190.73 inference(rename_variables,[],[3580])).
% 190.85/190.73 cnf(10735,plain,
% 190.85/190.73 (P1(f836(f836(f225(a899),f2(a899)),f836(a95,f72(a1))))),
% 190.85/190.73 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,10541,4578,10626,3226,3390,10466,10469,10562,3265,3329,3261,3289,3270,3894,3360,4585,10457,3324,4197,4633,3345,3788,3496,10546,10665,3413,4609,10434,10437,10463,10586,4621,3862,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,4147,3806,10589,3429,10555,10652,3430,4605,10474,10503,3580,3522,3941,3880,10506,4613,10454,4238,4610,4597,3406,3410,4599,4598,4630,4631,3903,4628,10479,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981])).
% 190.85/190.73 cnf(10738,plain,
% 190.85/190.73 (~P1(f836(f836(f162(x107381),f103(x107381)),x107382))),
% 190.85/190.73 inference(rename_variables,[],[4612])).
% 190.85/190.73 cnf(10743,plain,
% 190.85/190.73 (P1(f836(f836(f225(a899),x107431),f836(a102,x107431)))),
% 190.85/190.73 inference(rename_variables,[],[3496])).
% 190.85/190.73 cnf(10746,plain,
% 190.85/190.73 (~P1(f836(f836(f162(x107461),f103(x107461)),x107462))),
% 190.85/190.73 inference(rename_variables,[],[4612])).
% 190.85/190.73 cnf(10749,plain,
% 190.85/190.73 (~P1(f836(f836(f162(x107491),f103(x107491)),x107492))),
% 190.85/190.73 inference(rename_variables,[],[4612])).
% 190.85/190.73 cnf(10752,plain,
% 190.85/190.73 (~P1(f836(f57(x107521,x107522,f178(f906(x107521,a895))),x107523))),
% 190.85/190.73 inference(rename_variables,[],[4627])).
% 190.85/190.73 cnf(10755,plain,
% 190.85/190.73 (~P1(f836(f57(x107551,x107552,f178(f906(x107551,a895))),x107553))),
% 190.85/190.73 inference(rename_variables,[],[4627])).
% 190.85/190.73 cnf(10758,plain,
% 190.85/190.73 (~P1(f836(f836(f178(f906(x107581,f906(x107582,a895))),x107583),x107584))),
% 190.85/190.73 inference(rename_variables,[],[4631])).
% 190.85/190.73 cnf(10761,plain,
% 190.85/190.73 (~P1(f836(f836(f225(a899),x107611),f2(a899)))),
% 190.85/190.73 inference(rename_variables,[],[4609])).
% 190.85/190.73 cnf(10766,plain,
% 190.85/190.73 (~P1(f836(f836(f162(x107661),f103(x107661)),x107662))),
% 190.85/190.73 inference(rename_variables,[],[4612])).
% 190.85/190.73 cnf(10776,plain,
% 190.85/190.73 (~E(f836(f158(x107761),f836(a102,f836(f836(f124(x107761),f836(f158(x107761),x107762)),f836(f836(f141(x107761),x107763),f103(x107761))))),f836(f836(f141(x107761),x107763),x107762))),
% 190.85/190.73 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,10541,10642,4578,10626,3226,3390,10466,10469,10562,3265,3329,3261,3289,3270,3894,3360,4585,10457,3324,4197,4633,3345,3788,3496,10546,10665,10743,3413,4609,10434,10437,10463,10586,4621,3862,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,4147,3806,10589,3429,10555,10652,3430,4605,10474,10503,3580,3522,3941,3880,10506,4613,10454,4238,4610,4597,3406,3410,4599,4598,4627,10752,4630,4631,10645,3903,4628,10479,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097])).
% 190.85/190.73 cnf(10777,plain,
% 190.85/190.73 (~E(f836(a102,x107771),x107771)),
% 190.85/190.73 inference(rename_variables,[],[4572])).
% 190.85/190.73 cnf(10795,plain,
% 190.85/190.73 (P1(f836(f836(f225(a89),f836(a3,x107951)),f836(a3,f836(a102,x107951))))),
% 190.85/190.73 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,10541,10642,4578,10626,3226,3390,10466,10469,10562,3265,3329,3261,3289,3270,3894,3360,4585,10457,3324,4197,4633,3345,3788,3496,10546,10665,10743,3875,3413,4609,10434,10437,10463,10586,4621,3862,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,4147,3806,10589,3429,10555,10652,3430,4605,10474,10503,3580,3522,3941,3880,10506,4613,10454,4238,4610,4597,3406,3410,4599,4598,4627,10752,4630,4631,10645,3903,4628,10479,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180])).
% 190.85/190.73 cnf(10802,plain,
% 190.85/190.73 (P1(f836(f836(f224(a899),x108021),x108021))),
% 190.85/190.73 inference(rename_variables,[],[3429])).
% 190.85/190.73 cnf(10805,plain,
% 190.85/190.73 (P1(f836(f836(f224(a899),x108051),f836(f836(f75(a899),x108051),x108051)))),
% 190.85/190.73 inference(rename_variables,[],[3690])).
% 190.85/190.73 cnf(10808,plain,
% 190.85/190.73 (P1(f836(f836(f224(a899),x108081),f836(f836(f75(a899),x108081),x108081)))),
% 190.85/190.73 inference(rename_variables,[],[3690])).
% 190.85/190.73 cnf(10811,plain,
% 190.85/190.73 (P1(f836(f836(f225(a899),x108111),f836(a102,f836(f836(f74(a899),x108112),x108111))))),
% 190.85/190.73 inference(rename_variables,[],[3873])).
% 190.85/190.73 cnf(10816,plain,
% 190.85/190.73 (P1(f836(f836(f225(a899),x108161),f836(a102,x108161)))),
% 190.85/190.73 inference(rename_variables,[],[3496])).
% 190.85/190.73 cnf(10819,plain,
% 190.85/190.73 (P1(f836(f836(f225(a899),x108191),f836(a102,x108191)))),
% 190.85/190.73 inference(rename_variables,[],[3496])).
% 190.85/190.73 cnf(10822,plain,
% 190.85/190.73 (P1(f836(f836(f318(x108221),x108222),f232(f906(x108221,a895))))),
% 190.85/190.73 inference(rename_variables,[],[3580])).
% 190.85/190.73 cnf(10841,plain,
% 190.85/190.73 (~P1(f836(f836(f224(a899),f836(a102,x108411)),x108411))),
% 190.85/190.73 inference(rename_variables,[],[4613])).
% 190.85/190.73 cnf(10844,plain,
% 190.85/190.73 (~P1(f836(f836(f224(a899),f836(a102,x108441)),x108441))),
% 190.85/190.73 inference(rename_variables,[],[4613])).
% 190.85/190.73 cnf(10847,plain,
% 190.85/190.73 (~P1(f836(f836(f225(a899),f836(f836(f74(a899),x108471),x108472)),x108472))),
% 190.85/190.73 inference(rename_variables,[],[4628])).
% 190.85/190.73 cnf(10850,plain,
% 190.85/190.73 (~P1(f836(f836(f225(a899),f836(f836(f74(a899),x108501),x108502)),x108502))),
% 190.85/190.73 inference(rename_variables,[],[4628])).
% 190.85/190.73 cnf(10853,plain,
% 190.85/190.73 (P1(f836(f232(f906(x108531,a895)),x108532))),
% 190.85/190.73 inference(rename_variables,[],[3489])).
% 190.85/190.73 cnf(10856,plain,
% 190.85/190.73 (E(f836(f30(a899),f836(f272(a899),x108561)),x108561)),
% 190.85/190.73 inference(rename_variables,[],[3324])).
% 190.85/190.73 cnf(10859,plain,
% 190.85/190.73 (P1(f836(f836(f225(a899),x108591),f836(a102,x108591)))),
% 190.85/190.73 inference(rename_variables,[],[3496])).
% 190.85/190.73 cnf(10866,plain,
% 190.85/190.73 (P1(f836(f836(f224(a899),x108661),x108661))),
% 190.85/190.73 inference(rename_variables,[],[3429])).
% 190.85/190.73 cnf(10871,plain,
% 190.85/190.73 (P1(f836(f836(f224(a1),x108711),x108711))),
% 190.85/190.73 inference(rename_variables,[],[3430])).
% 190.85/190.73 cnf(10874,plain,
% 190.85/190.73 (P1(f836(f836(f224(f906(x108741,a895)),f836(f162(x108741),f836(f126(x108741,x108742),x108743))),f836(f162(x108741),x108743)))),
% 190.85/190.73 inference(rename_variables,[],[4066])).
% 190.85/190.73 cnf(10883,plain,
% 190.85/190.73 (E(f836(f274(x108831,x108831),f253(x108831,x108832)),x108832)),
% 190.85/190.73 inference(rename_variables,[],[3390])).
% 190.85/190.73 cnf(10886,plain,
% 190.85/190.73 (P1(f836(f232(f906(x108861,a895)),x108862))),
% 190.85/190.73 inference(rename_variables,[],[3489])).
% 190.85/190.73 cnf(10889,plain,
% 190.85/190.73 (P1(f836(f836(f224(a899),f2(a899)),x108891))),
% 190.85/190.73 inference(rename_variables,[],[3450])).
% 190.85/190.73 cnf(10892,plain,
% 190.85/190.73 (P1(f836(f836(f224(f906(x108921,a895)),f178(f906(x108921,a895))),x108922))),
% 190.85/190.73 inference(rename_variables,[],[3872])).
% 190.85/190.73 cnf(10895,plain,
% 190.85/190.73 (P1(f836(f232(f906(x108951,a895)),x108952))),
% 190.85/190.73 inference(rename_variables,[],[3489])).
% 190.85/190.73 cnf(10898,plain,
% 190.85/190.73 (P1(f836(f232(f906(x108981,a895)),x108982))),
% 190.85/190.73 inference(rename_variables,[],[3489])).
% 190.85/190.73 cnf(10901,plain,
% 190.85/190.73 (P1(f836(f232(f906(x109011,a895)),x109012))),
% 190.85/190.73 inference(rename_variables,[],[3489])).
% 190.85/190.73 cnf(10903,plain,
% 190.85/190.73 (~P1(f836(f836(f224(a899),f836(f836(f75(a899),f836(a102,x109031)),f836(a102,x109031))),x109031))),
% 190.85/190.73 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,10541,10642,4578,10626,3226,3390,10466,10469,10562,10565,3265,3329,3261,3289,3270,3894,3360,4585,10457,3324,10527,4197,4633,3345,3788,3725,3496,10546,10665,10743,10816,10819,3875,3413,4609,10434,10437,10463,10586,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,4066,4147,3806,10589,3429,10555,10652,10802,3430,10637,4605,10474,10503,3580,10731,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,3450,4238,4610,4597,3406,3410,4599,4598,4627,10752,4632,3872,3690,10805,10808,4630,4631,10645,3903,4628,10479,10482,10847,3873,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428])).
% 190.85/190.73 cnf(10904,plain,
% 190.85/190.73 (P1(f836(f836(f224(a899),x109041),f836(f836(f75(a899),x109041),x109041)))),
% 190.85/190.73 inference(rename_variables,[],[3690])).
% 190.85/190.73 cnf(10908,plain,
% 190.85/190.73 (E(f836(f158(x109081),f163(x109082,f836(f836(f124(x109081),f836(f158(x109081),x109083)),f836(f836(f141(x109081),x109084),f103(x109081))),f103(x109082))),f836(f836(f141(x109081),x109084),x109083))),
% 190.85/190.73 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,10541,10642,4578,10626,3226,3390,10466,10469,10562,10565,3367,3265,3329,3261,3289,3270,3894,3360,4585,10457,3324,10527,4197,4633,3345,3788,3725,3496,10546,10665,10743,10816,10819,3875,3413,4609,10434,10437,10463,10586,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,4066,4147,3806,10589,3429,10555,10652,10802,3430,10637,4605,10474,10503,3580,10731,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,3450,4238,4610,4597,3406,3410,4599,4598,4627,10752,4632,3872,3690,10805,10808,4630,4631,10645,3903,4628,10479,10482,10847,3873,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467])).
% 190.85/190.73 cnf(10913,plain,
% 190.85/190.73 (~P1(f836(f836(f224(a899),f836(a102,f836(a102,f836(f836(f74(a899),x109131),x109132)))),f836(a102,x109132)))),
% 190.85/190.73 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,10541,10642,4578,10626,3226,3390,10466,10469,10562,10565,3367,3265,3329,3261,3289,3270,3894,3360,4585,10457,3324,10527,4197,4633,3345,3788,3725,3496,10546,10665,10743,10816,10819,10859,3875,3413,4609,10434,10437,10463,10586,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,4066,4147,3806,10589,3429,10555,10652,10802,3430,10637,4605,10474,10503,3580,10731,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,3450,4238,4610,4597,3406,3410,4599,4598,4627,10752,4632,3872,3690,10805,10808,4630,4631,10645,3903,4628,10479,10482,10847,3873,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471])).
% 190.85/190.73 cnf(10921,plain,
% 190.85/190.73 (~P1(f836(f836(f225(a89),f836(a3,x109211)),f836(a3,f2(a899))))),
% 190.85/190.73 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,10541,10642,4578,10626,3226,3390,10466,10469,10562,10565,3367,3265,3329,3261,3289,3270,3894,3360,4585,10457,3324,10527,4197,4633,3345,3788,3725,3496,10546,10665,10743,10816,10819,10859,3875,3413,4609,10434,10437,10463,10586,10761,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,4066,4147,3806,10589,3429,10555,10652,10802,3430,10637,4605,10474,10503,3580,10731,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,3450,4238,4610,4597,3406,3410,4599,4598,4627,10752,4632,3872,3690,10805,10808,4630,4631,10645,3903,4628,10479,10482,10847,3873,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476])).
% 190.85/190.73 cnf(10944,plain,
% 190.85/190.73 (P1(f836(f836(f224(a899),x109441),x109441))),
% 190.85/190.73 inference(rename_variables,[],[3429])).
% 190.85/190.73 cnf(10955,plain,
% 190.85/190.73 (~P1(f836(f836(f162(x109551),f103(x109551)),x109552))),
% 190.85/190.73 inference(rename_variables,[],[4612])).
% 190.85/190.73 cnf(10962,plain,
% 190.85/190.73 (P1(f836(f836(f225(a899),x109621),f836(a102,x109621)))),
% 190.85/190.73 inference(rename_variables,[],[3496])).
% 190.85/190.73 cnf(10964,plain,
% 190.85/190.73 (P1(f836(f836(f225(a1),f836(f836(f23(a1),x109641),f72(a1))),x109641))),
% 190.85/190.73 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,10541,10642,4578,10626,3226,3390,10466,10469,10562,10565,3367,3265,3329,3261,3289,3270,3894,3360,4585,10457,3324,10527,4197,4057,4633,3345,3788,3725,3496,10546,10665,10743,10816,10819,10859,3875,3413,4609,10434,10437,10463,10586,10761,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,4066,4147,3806,10589,3429,10555,10652,10802,10866,10944,3430,10637,10871,4605,10474,10503,3580,10731,4617,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,3450,4238,4610,4597,4600,3406,3410,4599,4598,4627,10752,4632,3872,3690,10805,10808,4630,4631,10645,3903,4628,10479,10482,10847,3873,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746])).
% 190.85/190.73 cnf(10965,plain,
% 190.85/190.73 (P1(f836(f836(f224(a1),x109651),x109651))),
% 190.85/190.73 inference(rename_variables,[],[3430])).
% 190.85/190.73 cnf(10970,plain,
% 190.85/190.73 (~P1(f836(f836(f225(a899),x109701),f2(a899)))),
% 190.85/190.73 inference(rename_variables,[],[4609])).
% 190.85/190.73 cnf(10985,plain,
% 190.85/190.73 (~P1(f836(f836(f225(a899),x109851),f2(a899)))),
% 190.85/190.73 inference(rename_variables,[],[4609])).
% 190.85/190.73 cnf(10988,plain,
% 190.85/190.73 (~P1(f836(f836(f225(f906(x109881,a895)),x109882),f178(f906(x109881,a895))))),
% 190.85/190.73 inference(rename_variables,[],[4625])).
% 190.85/190.73 cnf(10991,plain,
% 190.85/190.73 (P1(f836(f836(f224(a899),x109911),x109911))),
% 190.85/190.73 inference(rename_variables,[],[3429])).
% 190.85/190.73 cnf(10994,plain,
% 190.85/190.73 (P1(f836(f836(f224(a899),x109941),x109941))),
% 190.85/190.73 inference(rename_variables,[],[3429])).
% 190.85/190.73 cnf(11008,plain,
% 190.85/190.73 (~P1(f836(f836(f225(a899),x110081),f836(f836(f23(a899),x110081),x110082)))),
% 190.85/190.73 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,10541,10642,4578,10626,3226,3390,10466,10469,10562,10565,3367,3265,3329,3261,3289,3270,3894,3360,4585,10457,3324,10527,4197,4057,4633,3345,3788,3725,3496,10546,10665,10743,10816,10819,10859,3875,3413,4609,10434,10437,10463,10586,10761,10970,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,4159,4066,4147,3806,10589,4625,3429,10555,10652,10802,10866,10944,10991,10994,3430,10637,10871,3431,4605,10474,10503,3580,10731,4617,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,3450,4238,4610,4597,4600,3406,3410,4599,4598,4627,10752,4632,3872,3690,10805,10808,4630,4631,10645,3903,4628,10479,10482,10847,3873,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913])).
% 190.85/190.73 cnf(11009,plain,
% 190.85/190.73 (~P1(f836(f836(f225(a899),x110091),x110091))),
% 190.85/190.73 inference(rename_variables,[],[4605])).
% 190.85/190.73 cnf(11018,plain,
% 190.85/190.73 (~P1(f836(f836(f318(x110181),x110182),f178(f906(x110181,a895))))),
% 190.85/190.73 inference(rename_variables,[],[4617])).
% 190.85/190.73 cnf(11025,plain,
% 190.85/190.73 (P1(f836(f836(f224(a899),x110251),x110251))),
% 190.85/190.73 inference(rename_variables,[],[3429])).
% 190.85/190.73 cnf(11028,plain,
% 190.85/190.73 (P1(f836(f836(f224(f906(x110281,a895)),f836(f300(x110282,x110281,x110283),f836(f301(x110282,x110281,x110283),x110284))),x110284))),
% 190.85/190.73 inference(rename_variables,[],[4293])).
% 190.85/190.73 cnf(11037,plain,
% 190.85/190.73 (E(f836(f300(x110371,x110371,f5(x110371)),x110372),x110372)),
% 190.85/190.73 inference(rename_variables,[],[3485])).
% 190.85/190.73 cnf(11042,plain,
% 190.85/190.73 (P1(f836(f836(f224(a899),f2(a899)),x110421))),
% 190.85/190.73 inference(rename_variables,[],[3450])).
% 190.85/190.73 cnf(11045,plain,
% 190.85/190.73 (P1(f836(f836(f224(a899),x110451),x110451))),
% 190.85/190.73 inference(rename_variables,[],[3429])).
% 190.85/190.73 cnf(11048,plain,
% 190.85/190.73 (~P1(f836(f836(f225(a899),x110481),x110481))),
% 190.85/190.73 inference(rename_variables,[],[4605])).
% 190.85/190.73 cnf(11050,plain,
% 190.85/190.73 (~P32(x110501,f178(f906(x110502,a895)),x110503)),
% 190.85/190.73 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,10541,10642,4578,10626,3226,3390,10466,10469,10562,10565,3367,3265,3329,3261,3289,3270,3894,3485,3360,4585,10457,3324,10527,4197,4057,4633,3345,3624,3788,3725,3496,10546,10665,10743,10816,10819,10859,10962,3875,3413,4609,10434,10437,10463,10586,10761,10970,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,4159,4066,4147,3806,10589,4625,3429,10555,10652,10802,10866,10944,10991,10994,11025,3430,10637,10871,3431,4605,10474,10503,11009,3580,10731,4617,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,3450,10889,4238,4610,4597,4600,3406,3410,4599,4598,4627,10752,4632,3872,3690,10805,10808,4630,4631,10645,4293,3903,4628,10479,10482,10847,3873,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305])).
% 190.85/190.73 cnf(11057,plain,
% 190.85/190.73 (~P1(f836(f836(f225(a899),x110571),x110571))),
% 190.85/190.73 inference(rename_variables,[],[4605])).
% 190.85/190.73 cnf(11068,plain,
% 190.85/190.73 (P1(f836(f836(f224(a899),x110681),f836(f836(f75(a899),x110681),x110681)))),
% 190.85/190.73 inference(rename_variables,[],[3690])).
% 190.85/190.73 cnf(11074,plain,
% 190.85/190.73 (P1(f836(f836(f225(a899),x110741),f836(a102,f836(f836(f74(a899),x110742),x110741))))),
% 190.85/190.73 inference(rename_variables,[],[3873])).
% 190.85/190.73 cnf(11081,plain,
% 190.85/190.73 (P1(f836(f836(f224(a899),x110811),x110811))),
% 190.85/190.73 inference(rename_variables,[],[3429])).
% 190.85/190.73 cnf(11084,plain,
% 190.85/190.73 (P1(f836(f836(f224(a1),x110841),x110841))),
% 190.85/190.73 inference(rename_variables,[],[3430])).
% 190.85/190.73 cnf(11087,plain,
% 190.85/190.73 (~E(f836(a102,x110871),x110871)),
% 190.85/190.73 inference(rename_variables,[],[4572])).
% 190.85/190.73 cnf(11091,plain,
% 190.85/190.74 (P1(f836(f836(f318(f905(x110911,x110911)),x110912),f297(x110911,f232(f906(f905(x110911,x110911),a895)))))),
% 190.85/190.74 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,4578,10626,3226,3390,10466,10469,10562,10565,3367,3265,3329,3261,3289,3270,3894,3485,3360,4585,10457,3324,10527,4197,4057,4633,3345,3624,3788,3725,3496,10546,10665,10743,10816,10819,10859,10962,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,4159,4066,4147,3806,10589,4625,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,4617,11018,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,3450,10889,4238,4610,4597,4600,3406,3410,4599,4598,4627,10752,4632,3872,3690,10805,10808,10904,11068,4630,4631,10645,4293,3903,4628,10479,10482,10847,3873,10811,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572])).
% 190.85/190.74 cnf(11092,plain,
% 190.85/190.74 (P1(f836(f836(f318(x110921),x110922),f232(f906(x110921,a895))))),
% 190.85/190.74 inference(rename_variables,[],[3580])).
% 190.85/190.74 cnf(11097,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x110971),f2(a899)))),
% 190.85/190.74 inference(rename_variables,[],[4609])).
% 190.85/190.74 cnf(11099,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x110991,a895)),x110992),f32(f906(x110991,a895),f836(f298(x110991),x110992))))),
% 190.85/190.74 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,4578,10626,3226,3390,10466,10469,10562,10565,3367,3265,3329,3261,3289,3270,3894,3485,3360,4585,10457,3324,10527,4197,4057,4633,3345,3624,3788,3725,3496,10546,10665,10743,10816,10819,10859,10962,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,4159,4066,10874,3789,4147,3806,10589,4625,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,4617,11018,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,3450,10889,4238,4610,4597,4600,3406,3410,4599,4598,4627,10752,4632,3872,3690,10805,10808,10904,11068,4630,4631,10645,4293,3903,4628,10479,10482,10847,3873,10811,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626])).
% 190.85/190.74 cnf(11112,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),f2(a899)),x111121))),
% 190.85/190.74 inference(rename_variables,[],[3450])).
% 190.85/190.74 cnf(11119,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),x111191),x111191))),
% 190.85/190.74 inference(rename_variables,[],[3429])).
% 190.85/190.74 cnf(11128,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x111281),x111282),f178(f906(x111281,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(11130,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x111301,a895)),f33(f906(x111301,a895),f836(f298(x111301),x111302))),x111302))),
% 190.85/190.74 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,4578,10626,3226,3390,10466,10469,10562,10565,3367,3265,3329,3261,3289,3270,3894,3485,3360,4585,10457,3324,10527,4197,4057,4633,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,4159,4066,10874,3789,4147,3806,10589,4625,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,4617,11018,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,3872,3690,10805,10808,10904,11068,4630,4631,10645,4293,3903,4628,10479,10482,10847,3873,10811,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903])).
% 190.85/190.74 cnf(11132,plain,
% 190.85/190.74 (E(f836(f836(f92(f906(x111321,a895)),f836(f836(f92(f906(x111321,a895)),x111322),f836(f73(f906(x111321,a895)),x111323))),x111323),f178(f906(x111321,a895)))),
% 190.85/190.74 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,4578,10626,3226,3390,10466,10469,10562,10565,3367,3265,3329,3261,3289,3270,3894,3485,3360,4585,10457,3324,10527,4197,4057,4633,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,4159,4066,10874,3789,4147,3806,10589,4625,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,4617,11018,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,3872,3690,10805,10808,10904,11068,4630,4631,10645,4293,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905])).
% 190.85/190.74 cnf(11135,plain,
% 190.85/190.74 (P1(f836(f836(f318(f900(x111351)),x111352),f151(x111351,f232(f906(x111351,a895)))))),
% 190.85/190.74 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,4578,10626,3226,3390,10466,10469,10562,10565,3367,3265,3329,3261,3289,3270,3894,3485,3360,4585,10457,3324,10527,4197,4057,4633,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,4159,4066,10874,3789,4147,3806,10589,4625,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,4617,11018,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,3872,3690,10805,10808,10904,11068,4630,4631,10645,4293,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915])).
% 190.85/190.74 cnf(11136,plain,
% 190.85/190.74 (P1(f836(f836(f318(x111361),x111362),f232(f906(x111361,a895))))),
% 190.85/190.74 inference(rename_variables,[],[3580])).
% 190.85/190.74 cnf(11139,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(f900(x111391),f900(x111391))),f836(f836(f242(f900(x111391),f900(x111391)),x111392),f103(x111391))),f135(x111391,x111393)))),
% 190.85/190.74 inference(rename_variables,[],[4633])).
% 190.85/190.74 cnf(11145,plain,
% 190.85/190.74 (P30(x111451,f836(f277(a899),f836(a102,f2(a899))),x111452)),
% 190.85/190.74 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,4578,10626,3226,3390,10466,10469,10562,10565,3367,3265,3329,3261,3289,3270,3894,3485,3360,4585,10457,3324,10527,4197,4057,4633,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,4159,4066,10874,3789,4147,3806,10589,4625,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,4617,11018,11128,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,3872,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016])).
% 190.85/190.74 cnf(11148,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(x111481,x111481)),x111482),f253(x111481,f178(f906(x111481,a895)))))),
% 190.85/190.74 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,4578,10626,3226,3390,10466,10469,10562,10565,3367,3265,3329,3261,3289,3270,3894,3485,3360,4585,10457,3324,10527,4197,4057,4633,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,4159,4066,10874,3789,4147,3806,10589,4625,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,4617,11018,11128,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,3872,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049])).
% 190.85/190.74 cnf(11149,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x111491),x111492),f178(f906(x111491,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(11151,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x111511),x111512),f836(f301(x111511,x111513,x111514),f178(f906(x111513,a895)))))),
% 190.85/190.74 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,4578,10626,3226,3390,10466,10469,10562,10565,3367,3265,3329,3261,3289,3270,3894,3485,3360,4585,10457,3324,10527,4197,4057,4633,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,4159,4066,10874,3789,4147,3806,10589,4625,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,4617,11018,11128,11149,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,3872,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080])).
% 190.85/190.74 cnf(11152,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x111521),x111522),f178(f906(x111521,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(11155,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x111551,a895)),x111552),f836(f836(f299(x111551),x111553),x111552)))),
% 190.85/190.74 inference(rename_variables,[],[3870])).
% 190.85/190.74 cnf(11158,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),x111581),x111581))),
% 190.85/190.74 inference(rename_variables,[],[3429])).
% 190.85/190.74 cnf(11161,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x111611,a895)),x111612),f836(f836(f299(x111611),x111613),x111612)))),
% 190.85/190.74 inference(rename_variables,[],[3870])).
% 190.85/190.74 cnf(11164,plain,
% 190.85/190.74 (E(f836(f300(x111641,x111641,f5(x111641)),x111642),x111642)),
% 190.85/190.74 inference(rename_variables,[],[3485])).
% 190.85/190.74 cnf(11166,plain,
% 190.85/190.74 (P33(x111661,x111662,x111663,f104(x111661,f103(x111661)),f103(x111662))),
% 190.85/190.74 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,4578,10626,3226,3275,3390,10466,10469,10562,10565,3367,3265,3329,3261,3289,3270,3894,3485,11037,3360,4585,10457,3324,10527,4197,4057,4633,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,4159,4066,10874,3789,4147,3806,10589,4625,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,4617,11018,11128,11149,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,3870,11155,3872,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186])).
% 190.85/190.74 cnf(11179,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x111791,a895)),x111792),f836(f836(f299(x111791),x111793),x111792)))),
% 190.85/190.74 inference(rename_variables,[],[3870])).
% 190.85/190.74 cnf(11190,plain,
% 190.85/190.74 (~E(f836(a102,x111901),f2(a899))),
% 190.85/190.74 inference(rename_variables,[],[4578])).
% 190.85/190.74 cnf(11193,plain,
% 190.85/190.74 (~P1(f836(f836(f162(x111931),f103(x111931)),x111932))),
% 190.85/190.74 inference(rename_variables,[],[4612])).
% 190.85/190.74 cnf(11197,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(a899,a899)),f836(f836(f242(a899,a899),f836(a102,x111971)),x111971)),f297(a899,a307)))),
% 190.85/190.74 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,4578,10626,10726,3226,3275,3390,10466,10469,10562,10565,3367,3265,3329,3261,3289,3270,3894,3485,11037,3360,4585,10457,3324,10527,4197,4057,4633,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,4159,4066,10874,3789,4147,3806,10589,4625,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,11136,4617,11018,11128,11149,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,4023,3870,11155,11161,3872,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508])).
% 190.85/190.74 cnf(11206,plain,
% 190.85/190.74 (P1(f836(f836(f225(a899),x112061),f836(a102,x112061)))),
% 190.85/190.74 inference(rename_variables,[],[3496])).
% 190.85/190.74 cnf(11216,plain,
% 190.85/190.74 (~E(f836(f300(x112161,f906(x112161,a895),x112162),x112163),f836(f298(x112161),x112163))),
% 190.85/190.74 inference(rename_variables,[],[4614])).
% 190.85/190.74 cnf(11219,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x112191),x112192),f178(f906(x112191,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(11222,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x112221),x112222),f178(f906(x112221,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(11225,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(x112251,x112251)),f836(f836(f242(x112251,x112251),x112252),x112253)),f143(x112251,f103(f906(x112251,a899)))))),
% 190.85/190.74 inference(rename_variables,[],[4632])).
% 190.85/190.74 cnf(11228,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(x112281,x112281)),f836(f836(f242(x112281,x112281),x112282),x112283)),f143(x112281,f103(f906(x112281,a899)))))),
% 190.85/190.74 inference(rename_variables,[],[4632])).
% 190.85/190.74 cnf(11233,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x112331),x112332),f178(f906(x112331,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(11236,plain,
% 190.85/190.74 (P1(f836(f836(f318(f905(x112361,x112361)),f836(f836(f242(x112361,x112361),x112362),x112362)),f297(x112361,x112363)))),
% 190.85/190.74 inference(rename_variables,[],[4057])).
% 190.85/190.74 cnf(11239,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x112391,a895)),f836(f162(x112391),f166(x112391,x112392,x112393))),f836(f162(x112391),x112392)))),
% 190.85/190.74 inference(rename_variables,[],[4113])).
% 190.85/190.74 cnf(11242,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x112421,a895)),x112422),f232(f906(x112421,a895))))),
% 190.85/190.74 inference(rename_variables,[],[3806])).
% 190.85/190.74 cnf(11258,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x112581,a895)),f178(f906(x112581,a895))),x112582))),
% 190.85/190.74 inference(rename_variables,[],[3872])).
% 190.85/190.74 cnf(11269,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(f900(x112691),f900(x112691))),f836(f836(f242(f900(x112691),f900(x112691)),x112692),f103(x112691))),f137(x112691,x112693)))),
% 190.85/190.74 inference(rename_variables,[],[4634])).
% 190.85/190.74 cnf(11280,plain,
% 190.85/190.74 (~E(f836(a102,x112801),x112801)),
% 190.85/190.74 inference(rename_variables,[],[4572])).
% 190.85/190.74 cnf(11283,plain,
% 190.85/190.74 (~E(f836(a102,x112831),x112831)),
% 190.85/190.74 inference(rename_variables,[],[4572])).
% 190.85/190.74 cnf(11287,plain,
% 190.85/190.74 (P1(f836(f836(f318(f905(f900(x112871),f900(x112871))),f836(f836(f242(f900(x112871),f900(x112871)),f103(x112871)),f103(x112871))),f836(f836(f279(f900(x112871),f900(x112871),f900(x112871)),f148(x112871,x112872)),f297(f900(x112871),f148(x112871,x112872)))))),
% 190.85/190.74 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,4578,10626,10726,3226,3275,3390,10466,10469,10562,10565,3367,3882,3265,3329,3261,3289,3270,3894,3485,11037,3360,4055,4585,10457,4614,3324,10527,4197,4057,11236,4633,11139,4634,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,11097,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,4159,4066,10874,4113,3789,4147,3806,10589,10686,4625,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,11136,4617,11018,11128,11149,11152,11219,11222,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,11225,4023,3870,11155,11161,3872,10892,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736])).
% 190.85/190.74 cnf(11290,plain,
% 190.85/190.74 (~E(f836(a102,x112901),f2(a899))),
% 190.85/190.74 inference(rename_variables,[],[4578])).
% 190.85/190.74 cnf(11292,plain,
% 190.85/190.74 (E(f836(x112921,f836(f85(x112922,x112923,f232(f906(x112922,a895)),x112921),f836(x112921,x112924))),f836(x112921,x112924))),
% 190.85/190.74 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,4578,10626,10726,11190,3226,3275,3390,10466,10469,10562,10565,3367,3882,3265,3329,3261,3289,3270,3894,3485,11037,3360,4055,4585,10457,4614,3324,10527,4197,4057,11236,4633,11139,4634,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,11097,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,4159,4066,10874,4113,3789,4147,3806,10589,10686,4625,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,11136,4617,11018,11128,11149,11152,11219,11222,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,11225,4023,3870,11155,11161,3872,10892,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750])).
% 190.85/190.74 cnf(11295,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x112951,a895)),x112952),x112952))),
% 190.85/190.74 inference(rename_variables,[],[3721])).
% 190.85/190.74 cnf(11302,plain,
% 190.85/190.74 (~E(f836(a102,x113021),x113021)),
% 190.85/190.74 inference(rename_variables,[],[4572])).
% 190.85/190.74 cnf(11305,plain,
% 190.85/190.74 (~E(f836(a102,x113051),x113051)),
% 190.85/190.74 inference(rename_variables,[],[4572])).
% 190.85/190.74 cnf(11307,plain,
% 190.85/190.74 (~P25(x113071,f906(x113071,a895),x113072,x113073,f836(f298(x113071),x113073))),
% 190.85/190.74 inference(scs_inference,[],[4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,4578,10626,10726,11190,3226,3275,3390,10466,10469,10562,10565,3367,3882,3265,3329,3261,3289,3270,3894,3485,11037,3360,4055,4585,10457,4614,11216,3324,10527,4197,4057,11236,4633,11139,4634,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,11097,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,4159,4066,10874,4113,3789,4147,3806,10589,10686,4625,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,11136,4617,11018,11128,11149,11152,11219,11222,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,11225,4023,3870,11155,11161,3721,3872,10892,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789])).
% 190.85/190.74 cnf(11310,plain,
% 190.85/190.74 (P24(x113101,x113101,f5(x113101),x113102)),
% 190.85/190.74 inference(rename_variables,[],[3664])).
% 190.85/190.74 cnf(11315,plain,
% 190.85/190.74 (~E(f836(f300(x113151,f906(x113151,a895),x113152),x113153),f836(f298(x113151),x113153))),
% 190.85/190.74 inference(rename_variables,[],[4614])).
% 190.85/190.74 cnf(11320,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x113201,a895)),x113202),f232(f906(x113201,a895))))),
% 190.85/190.74 inference(rename_variables,[],[3806])).
% 190.85/190.74 cnf(11336,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x113361),x113362),f178(f906(x113361,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(11339,plain,
% 190.85/190.74 (~P1(f836(f836(f224(a899),f836(a102,x113391)),x113391))),
% 190.85/190.74 inference(rename_variables,[],[4613])).
% 190.85/190.74 cnf(11344,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x113441),x113442),f178(f906(x113441,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(11354,plain,
% 190.85/190.74 (~P1(f836(f836(f318(a899),f836(a102,f836(f132(a899,a899,f74(a899),f2(a899)),x113541))),f836(f162(a899),x113541)))),
% 190.85/190.74 inference(scs_inference,[],[3664,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,4578,10626,10726,11190,3226,3275,3390,10466,10469,10562,10565,3367,3882,3265,3329,3261,3289,3270,3894,3485,11037,3360,4055,4585,10457,4614,11216,3533,3324,10527,4197,4057,11236,4633,11139,4634,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,11097,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,4625,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,11136,4617,11018,11128,11149,11152,11219,11222,11233,11336,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,11339,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,11225,4023,3870,11155,11161,3721,3872,10892,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973])).
% 190.85/190.74 cnf(11355,plain,
% 190.85/190.74 (~P1(f836(f836(f224(a899),f836(a102,x113551)),x113551))),
% 190.85/190.74 inference(rename_variables,[],[4613])).
% 190.85/190.74 cnf(11358,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x113581),x113582),f178(f906(x113581,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(11364,plain,
% 190.85/190.74 (E(f836(f126(x113641,f232(f906(x113642,a895))),f720(x113643,x113644,f836(f836(f141(x113641),x113644),x113643),f232(f906(x113642,a895)),x113641)),x113643)),
% 190.85/190.74 inference(scs_inference,[],[3664,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,4578,10626,10726,11190,3226,3275,3390,10466,10469,10562,10565,3367,3882,3265,3329,3261,3289,3270,3894,3485,11037,3360,4055,4585,10457,4614,11216,3533,3324,10527,4197,4057,11236,4633,11139,4634,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,11097,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,4625,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,11136,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,11339,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,11225,4023,3870,11155,11161,3721,3872,10892,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050])).
% 190.85/190.74 cnf(11367,plain,
% 190.85/190.74 (P1(f836(f836(f318(f905(x113671,x113671)),f836(f836(f242(x113671,x113671),x113672),x113672)),f297(x113671,x113673)))),
% 190.85/190.74 inference(rename_variables,[],[4057])).
% 190.85/190.74 cnf(11370,plain,
% 190.85/190.74 (P1(f836(f836(f318(x113701),x113702),f232(f906(x113701,a895))))),
% 190.85/190.74 inference(rename_variables,[],[3580])).
% 190.85/190.74 cnf(11373,plain,
% 190.85/190.74 (P1(f836(f836(f318(x113731),x113732),f232(f906(x113731,a895))))),
% 190.85/190.74 inference(rename_variables,[],[3580])).
% 190.85/190.74 cnf(11380,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(f900(x113801),f900(x113801))),f836(f836(f242(f900(x113801),f900(x113801)),x113802),f103(x113801))),f135(x113801,x113803)))),
% 190.85/190.74 inference(rename_variables,[],[4633])).
% 190.85/190.74 cnf(11383,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(f900(x113831),f900(x113831))),f836(f836(f242(f900(x113831),f900(x113831)),x113832),f103(x113831))),f137(x113831,x113833)))),
% 190.85/190.74 inference(rename_variables,[],[4634])).
% 190.85/190.74 cnf(11386,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(f900(x113861),f900(x113861))),f836(f836(f242(f900(x113861),f900(x113861)),x113862),f103(x113861))),f147(x113861,x113863)))),
% 190.85/190.74 inference(rename_variables,[],[4635])).
% 190.85/190.74 cnf(11388,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(f900(x113881),f900(x113881))),f836(f836(f242(f900(x113881),f900(x113881)),f103(x113881)),x113882)),f836(f276(f900(x113881),f900(x113881)),f135(x113881,x113883))))),
% 190.85/190.74 inference(scs_inference,[],[3664,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,4578,10626,10726,11190,3226,3275,3390,10466,10469,10562,10565,3367,3882,3265,3329,3261,3289,3270,3894,3485,11037,3360,4055,4585,10457,4614,11216,3533,3324,10527,4197,4057,11236,4633,11139,11380,4634,11269,4635,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,11097,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,4625,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,11136,11370,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,11339,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,11225,4023,3870,11155,11161,3721,3872,10892,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188])).
% 190.85/190.74 cnf(11391,plain,
% 190.85/190.74 (~P1(f836(f836(f225(f906(x113911,a895)),x113912),f178(f906(x113911,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4625])).
% 190.85/190.74 cnf(11393,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x113931),x113932),f836(f300(x113933,x113931,x113934),f178(f906(x113933,a895)))))),
% 190.85/190.74 inference(scs_inference,[],[3664,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,4578,10626,10726,11190,3226,3275,3390,10466,10469,10562,10565,3367,3882,3265,3329,3261,3289,3270,3894,3485,11037,3360,4055,4585,10457,4614,11216,3533,3324,10527,4197,4057,11236,4633,11139,11380,4634,11269,4635,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,11097,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,4625,10988,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,11136,11370,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,11339,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,11225,4023,3870,11155,11161,3721,3872,10892,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213])).
% 190.85/190.74 cnf(11394,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x113941),x113942),f178(f906(x113941,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(11398,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x113981,a895)),x113982),f836(f836(f91(f906(x113981,a895)),x113983),f232(f906(x113981,a895)))))),
% 190.85/190.74 inference(scs_inference,[],[3664,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,4578,10626,10726,11190,3226,3275,3390,10466,10469,10562,10565,3367,3882,3265,3329,3261,3289,3270,3894,3485,11037,3360,4055,4585,10457,4614,11216,3533,3324,10527,4197,4057,11236,4633,11139,11380,4634,11269,4635,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,11097,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,11320,4625,10988,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,11136,11370,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,11339,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,11225,4023,3870,11155,11161,3721,3872,10892,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242])).
% 190.85/190.74 cnf(11399,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x113991,a895)),x113992),f232(f906(x113991,a895))))),
% 190.85/190.74 inference(rename_variables,[],[3806])).
% 190.85/190.74 cnf(11405,plain,
% 190.85/190.74 (~P1(f836(f836(f245(x114051,x114052,a895,f836(f162(x114053),f103(x114053))),x114054),x114055))),
% 190.85/190.74 inference(scs_inference,[],[3664,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,4578,10626,10726,11190,3226,3275,3390,10466,10469,10562,10565,3367,3882,3265,3329,3261,3289,3270,3894,3485,11037,3360,4055,4585,10457,4614,11216,3533,3324,10527,4197,4057,11236,4633,11139,11380,4634,11269,4635,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,11097,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,11320,4625,10988,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,11136,11370,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,11339,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,11225,4023,3870,11155,11161,3721,3872,10892,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352])).
% 190.85/190.74 cnf(11406,plain,
% 190.85/190.74 (~P1(f836(f836(f162(x114061),f103(x114061)),x114062))),
% 190.85/190.74 inference(rename_variables,[],[4612])).
% 190.85/190.74 cnf(11411,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x114111),x114112),f178(f906(x114111,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(11414,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(x114141,x114141)),f836(f836(f242(x114141,x114141),x114142),x114143)),f143(x114141,f103(f906(x114141,a899)))))),
% 190.85/190.74 inference(rename_variables,[],[4632])).
% 190.85/190.74 cnf(11417,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x114171,a895)),x114172),x114172))),
% 190.85/190.74 inference(rename_variables,[],[3721])).
% 190.85/190.74 cnf(11420,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x114201),x114202),f178(f906(x114201,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(11422,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x114221,a895)),f836(f275(x114222,x114221,f178(f906(f905(x114222,x114221),a895))),x114223)),x114224))),
% 190.85/190.74 inference(scs_inference,[],[3664,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,4578,10626,10726,11190,3226,3275,3390,10466,10469,10562,10565,3367,3882,3265,3329,3261,3289,3270,3894,3485,11037,3360,4055,4585,10457,4614,11216,3533,3324,10527,4197,4057,11236,4633,11139,11380,4634,11269,4635,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,11097,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,11320,4625,10988,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,11136,11370,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,11339,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,11225,11228,4023,3870,11155,11161,3721,11295,3872,10892,11258,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420])).
% 190.85/190.74 cnf(11423,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x114231,a895)),f178(f906(x114231,a895))),x114232))),
% 190.85/190.74 inference(rename_variables,[],[3872])).
% 190.85/190.74 cnf(11426,plain,
% 190.85/190.74 (P1(f836(f836(f318(f905(x114261,x114261)),f836(f836(f242(x114261,x114261),x114262),x114262)),f297(x114261,x114263)))),
% 190.85/190.74 inference(rename_variables,[],[4057])).
% 190.85/190.74 cnf(11428,plain,
% 190.85/190.74 (~P33(x114281,x114282,x114283,f836(f836(f144(x114284,x114281),x114285),f836(a102,f103(x114284))),f103(x114282))),
% 190.85/190.74 inference(scs_inference,[],[3664,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,4578,10626,10726,11190,3226,3275,3390,10466,10469,10562,10565,3367,3882,3265,3329,3261,3289,3270,3894,3485,11037,3360,4055,4585,10457,4614,11216,3533,3324,10527,4197,4057,11236,11367,4633,11139,11380,4634,11269,4635,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,11097,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,11320,4625,10988,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,11136,11370,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,11339,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,11225,11228,4023,3870,11155,11161,3721,11295,3872,10892,11258,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428])).
% 190.85/190.74 cnf(11432,plain,
% 190.85/190.74 (P33(x114321,x114322,x114323,f836(f836(f144(x114324,x114321),x114325),f104(x114324,f103(x114324))),f103(x114322))),
% 190.85/190.74 inference(scs_inference,[],[3664,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,4578,10626,10726,11190,3226,3275,3390,10466,10469,10562,10565,3367,3882,3265,3329,3261,3289,3270,3894,3485,11037,3360,4055,4585,10457,4614,11216,3533,3324,10527,4197,4057,11236,11367,4633,11139,11380,4634,11269,4635,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,11097,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,11320,4625,10988,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,11136,11370,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,11339,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,11225,11228,4023,3870,11155,11161,3721,11295,3872,10892,11258,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451])).
% 190.85/190.74 cnf(11436,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(f900(x114361),f900(x114361))),f836(f836(f242(f900(x114361),f900(x114361)),x114362),f103(x114361))),f836(f276(f900(x114361),f900(x114361)),f147(x114361,x114363))))),
% 190.85/190.74 inference(scs_inference,[],[3664,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,4578,10626,10726,11190,3226,3275,3390,10466,10469,10562,10565,3367,3882,3265,3329,3261,3289,3270,3894,3485,11037,3360,4055,4585,10457,4614,11216,3533,3324,10527,4197,4057,11236,11367,4633,11139,11380,4634,11269,4635,11386,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,11097,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,11320,4625,10988,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,11136,11370,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,11339,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,11225,11228,4023,3870,11155,11161,3721,11295,3872,10892,11258,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542])).
% 190.85/190.74 cnf(11437,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(f900(x114371),f900(x114371))),f836(f836(f242(f900(x114371),f900(x114371)),x114372),f103(x114371))),f147(x114371,x114373)))),
% 190.85/190.74 inference(rename_variables,[],[4635])).
% 190.85/190.74 cnf(11444,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(f900(x114441),f900(x114441))),f836(f836(f242(f900(x114441),f900(x114441)),f103(x114441)),x114442)),f135(x114441,x114443)))),
% 190.85/190.74 inference(rename_variables,[],[4636])).
% 190.85/190.74 cnf(11449,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(f906(x114491,a895),f906(x114491,a895))),f836(f836(f242(f906(x114491,a895),f906(x114491,a895)),x114492),f178(f906(x114491,a895)))),f304(x114491)))),
% 190.85/190.74 inference(scs_inference,[],[3664,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,4578,10626,10726,11190,3226,3275,3390,10466,10469,10562,10565,3367,3882,3265,3329,3261,3289,3270,3894,3485,11037,3360,4055,4585,10457,4614,11216,3533,3324,10527,4197,4057,11236,11367,4633,11139,11380,4634,11269,4635,11386,4636,4637,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,11097,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,11320,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,11136,11370,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,11339,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,11225,11228,4023,3870,11155,11161,3721,11295,3872,10892,11258,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589])).
% 190.85/190.74 cnf(11452,plain,
% 190.85/190.74 (P1(f836(f836(f318(x114521),x114522),f232(f906(x114521,a895))))),
% 190.85/190.74 inference(rename_variables,[],[3580])).
% 190.85/190.74 cnf(11457,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x114571,a895)),f178(f906(x114571,a895))),x114572))),
% 190.85/190.74 inference(rename_variables,[],[3872])).
% 190.85/190.74 cnf(11460,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x114601),x114602),f178(f906(x114601,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(11463,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x114631,a895)),x114632),f232(f906(x114631,a895))))),
% 190.85/190.74 inference(rename_variables,[],[3806])).
% 190.85/190.74 cnf(11467,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x114671,a895)),f836(f275(x114672,x114671,x114673),f178(f906(x114672,a895)))),x114674))),
% 190.85/190.74 inference(scs_inference,[],[3664,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,4578,10626,10726,11190,3226,3275,3390,10466,10469,10562,10565,3367,3882,3265,3329,3261,3289,3270,3894,3485,11037,3360,4055,4585,10457,4614,11216,3533,3324,10527,4197,4057,11236,11367,4633,11139,11380,4634,11269,4635,11386,4636,4637,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,11097,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,11320,11399,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,11136,11370,11373,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,11339,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,11225,11228,4023,3870,11155,11161,3721,11295,3872,10892,11258,11423,11457,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,4201,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698])).
% 190.85/190.74 cnf(11468,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x114681,a895)),f178(f906(x114681,a895))),x114682))),
% 190.85/190.74 inference(rename_variables,[],[3872])).
% 190.85/190.74 cnf(11470,plain,
% 190.85/190.74 (~P1(f836(f61(a899,x114701,x114702,x114703,f232(f906(a899,a895))),x114704))),
% 190.85/190.74 inference(scs_inference,[],[3664,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,4578,10626,10726,11190,3226,3275,3390,10466,10469,10562,10565,3367,3882,3265,3329,3261,3289,3270,3894,3485,11037,3360,4055,4585,10457,4614,11216,3533,3324,10527,4197,4057,11236,11367,4633,11139,11380,4634,11269,4635,11386,4636,4637,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,11097,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,11320,11399,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,11136,11370,11373,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,3489,10853,10886,10895,10898,3522,3941,3880,10506,4613,10454,10841,10844,11339,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,11225,11228,4023,3870,11155,11161,3721,11295,3872,10892,11258,11423,11457,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,4201,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719])).
% 190.85/190.74 cnf(11481,plain,
% 190.85/190.74 (P1(f836(f232(f906(x114811,a895)),x114812))),
% 190.85/190.74 inference(rename_variables,[],[3489])).
% 190.85/190.74 cnf(11489,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(f900(x114891),f900(x114891))),f836(f836(f242(f900(x114891),f900(x114891)),x114892),f103(x114891))),f135(x114891,x114893)))),
% 190.85/190.74 inference(rename_variables,[],[4633])).
% 190.85/190.74 cnf(11492,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(f900(x114921),f900(x114921))),f836(f836(f242(f900(x114921),f900(x114921)),x114922),f103(x114921))),f137(x114921,x114923)))),
% 190.85/190.74 inference(rename_variables,[],[4634])).
% 190.85/190.74 cnf(11495,plain,
% 190.85/190.74 (~E(f836(f836(f141(x114951),x114952),x114953),x114953)),
% 190.85/190.74 inference(rename_variables,[],[4585])).
% 190.85/190.74 cnf(11498,plain,
% 190.85/190.74 (~E(f836(a102,x114981),x114981)),
% 190.85/190.74 inference(rename_variables,[],[4572])).
% 190.85/190.74 cnf(11500,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x115001),x115002),f836(f275(x115003,x115001,x115004),f178(f906(x115003,a895)))))),
% 190.85/190.74 inference(scs_inference,[],[3664,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,4578,10626,10726,11190,3226,3275,3390,10466,10469,10562,10565,3367,3882,3265,3329,3261,3289,3270,3894,3485,11037,3360,4055,4585,10457,10623,4614,11216,3533,3324,10527,4197,4057,11236,11367,4633,11139,11380,4634,11269,11383,4635,11386,4636,11444,4637,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,11097,4621,3862,3633,4005,3458,3459,3432,4606,4580,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,11320,11399,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,11136,11370,11373,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,3489,10853,10886,10895,10898,10901,3522,3941,3880,10506,4613,10454,10841,10844,11339,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,11225,11228,4023,3870,11155,11161,3721,11295,3872,10892,11258,11423,11457,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,4201,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835])).
% 190.85/190.74 cnf(11501,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x115011),x115012),f178(f906(x115011,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(11506,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x115061),x115062),f178(f906(x115061,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(11509,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x115091),x115092),f178(f906(x115091,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(11512,plain,
% 190.85/190.74 (P1(f836(f836(f318(f905(f900(x115121),f900(x115121))),f836(f836(f242(f900(x115121),f900(x115121)),x115122),x115122)),f148(x115121,f297(x115121,x115123))))),
% 190.85/190.74 inference(rename_variables,[],[4190])).
% 190.85/190.74 cnf(11515,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(f900(x115151),f900(x115151))),f836(f836(f242(f900(x115151),f900(x115151)),x115152),f103(x115151))),f135(x115151,x115153)))),
% 190.85/190.74 inference(rename_variables,[],[4633])).
% 190.85/190.74 cnf(11525,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(x115251,x115251)),f836(f836(f242(x115251,x115251),x115252),x115253)),f143(x115251,f103(f906(x115251,a899)))))),
% 190.85/190.74 inference(rename_variables,[],[4632])).
% 190.85/190.74 cnf(11528,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x115281),x115282),f178(f906(x115281,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(11531,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x115311),x115312),f178(f906(x115311,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(11534,plain,
% 190.85/190.74 (P1(f836(f836(f318(x115341),x115342),f232(f906(x115341,a895))))),
% 190.85/190.74 inference(rename_variables,[],[3580])).
% 190.85/190.74 cnf(11537,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x115371),f2(a899)))),
% 190.85/190.74 inference(rename_variables,[],[4609])).
% 190.85/190.74 cnf(11542,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(x115421,x115421)),f836(f836(f242(x115421,x115421),x115422),x115423)),f143(x115421,f103(f906(x115421,a899)))))),
% 190.85/190.74 inference(rename_variables,[],[4632])).
% 190.85/190.74 cnf(11551,plain,
% 190.85/190.74 (~E(f836(f300(x115511,f906(x115511,a895),x115512),x115513),f836(f298(x115511),x115513))),
% 190.85/190.74 inference(rename_variables,[],[4614])).
% 190.85/190.74 cnf(11554,plain,
% 190.85/190.74 (~E(f836(f300(x115541,f906(x115541,a895),x115542),x115543),f836(f298(x115541),x115543))),
% 190.85/190.74 inference(rename_variables,[],[4614])).
% 190.85/190.74 cnf(11556,plain,
% 190.85/190.74 (E(f836(f836(f242(a899,a899),f618(f297(a899,a307),a307,a899,f836(f836(f242(a899,a899),x115561),f836(a102,x115561)),a899,a899)),f622(f297(a899,a307),a307,a899,f836(f836(f242(a899,a899),x115561),f836(a102,x115561)),a899,a899)),f836(f836(f242(a899,a899),x115561),f836(a102,x115561)))),
% 190.85/190.74 inference(scs_inference,[],[3664,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,4578,10626,10726,11190,3226,3275,3390,10466,10469,10562,10565,3367,3882,3265,3329,3261,3289,3270,3894,3485,11037,3360,4055,4585,10457,10623,4614,11216,11315,11551,3533,3324,10527,4197,4057,11236,11367,4633,11139,11380,11489,4634,11269,11383,4635,11386,4636,11444,4637,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,11097,4621,3862,3633,4005,3458,3459,3432,4606,4580,4190,11512,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,11320,11399,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,11136,11370,11373,11452,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,3489,10853,10886,10895,10898,10901,3522,3941,3880,10506,4613,10454,10841,10844,11339,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,11225,11228,11414,11525,4023,3870,11155,11161,3721,11295,3872,10892,11258,11423,11457,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,4201,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080])).
% 190.85/190.74 cnf(11559,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(f900(x115591),f900(x115591))),f836(f836(f242(f900(x115591),f900(x115591)),x115592),f103(x115591))),f135(x115591,x115593)))),
% 190.85/190.74 inference(rename_variables,[],[4633])).
% 190.85/190.74 cnf(11565,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(f900(x115651),f900(x115651))),f836(f836(f242(f900(x115651),f900(x115651)),x115652),f103(x115651))),f135(x115651,x115653)))),
% 190.85/190.74 inference(rename_variables,[],[4633])).
% 190.85/190.74 cnf(11568,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x115681),x115682),f178(f906(x115681,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(11570,plain,
% 190.85/190.74 (P1(f836(f836(f318(f905(x115701,x115702)),f836(f836(f242(x115701,x115702),f836(x115703,x115704)),f836(x115705,x115704))),f836(f300(f905(x115706,x115706),f905(x115701,x115702),f248(x115706,x115701,x115706,x115702,x115703,x115705)),f297(x115706,x115707))))),
% 190.85/190.74 inference(scs_inference,[],[3664,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,4578,10626,10726,11190,3226,3275,3390,10466,10469,10562,10565,3367,3882,3265,3329,3261,3289,3270,3894,3485,11037,3360,4055,4585,10457,10623,4614,11216,11315,11551,3533,3324,10527,4197,4057,11236,11367,11426,4633,11139,11380,11489,11515,11559,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,11097,4621,3862,3633,4005,3458,3459,3432,4606,4580,4190,11512,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,11320,11399,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,11136,11370,11373,11452,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,3489,10853,10886,10895,10898,10901,3522,3941,3880,10506,4613,10454,10841,10844,11339,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,11225,11228,11414,11525,4023,3870,11155,11161,3721,11295,3872,10892,11258,11423,11457,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,4201,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209])).
% 190.85/190.74 cnf(11573,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x115731),x115732),f178(f906(x115731,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(11576,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x115761),x115762),f178(f906(x115761,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(11579,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x115791),x115792),f178(f906(x115791,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(11582,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x115821),x115822),f178(f906(x115821,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(11585,plain,
% 190.85/190.74 (P1(f836(f836(f318(x115851),f836(x115852,x115853)),f836(f300(x115854,x115851,x115852),f232(f906(x115854,a895)))))),
% 190.85/190.74 inference(rename_variables,[],[4023])).
% 190.85/190.74 cnf(11587,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(x115871,x115872)),x115873),f836(f300(f905(x115874,x115874),f905(x115871,x115872),f248(x115874,x115871,x115874,x115872,x115875,x115876)),f143(x115874,f103(f906(x115874,a899))))))),
% 190.85/190.74 inference(scs_inference,[],[3664,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,4578,10626,10726,11190,3226,3275,3390,10466,10469,10562,10565,3367,3882,3265,3329,3261,3289,3270,3894,3485,11037,3360,4055,4585,10457,10623,4614,11216,11315,11551,3533,3324,10527,4197,4057,11236,11367,11426,4633,11139,11380,11489,11515,11559,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,3788,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,3875,3413,4609,10434,10437,10463,10586,10761,10970,10985,11097,4621,3862,3633,4005,3458,3459,3432,4606,4580,4190,11512,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,11320,11399,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,3430,10637,10871,10965,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,11136,11370,11373,11452,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,3489,10853,10886,10895,10898,10901,3522,3941,3880,10506,4613,10454,10841,10844,11339,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4627,10752,4632,11225,11228,11414,11525,11542,4023,3870,11155,11161,3721,11295,3872,10892,11258,11423,11457,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,4201,3903,4628,10479,10482,10847,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381])).
% 190.85/190.74 cnf(11588,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(x115881,x115881)),f836(f836(f242(x115881,x115881),x115882),x115883)),f143(x115881,f103(f906(x115881,a899)))))),
% 190.85/190.74 inference(rename_variables,[],[4632])).
% 190.85/190.74 cnf(11596,plain,
% 190.85/190.74 (E(f104(x115961,f103(x115961)),f103(x115961))),
% 190.85/190.74 inference(rename_variables,[],[3275])).
% 190.85/190.74 cnf(11599,plain,
% 190.85/190.74 (~E(f836(a102,x115991),x115991)),
% 190.85/190.74 inference(rename_variables,[],[4572])).
% 190.85/190.74 cnf(11606,plain,
% 190.85/190.74 (~E(f836(a102,x116061),x116061)),
% 190.85/190.74 inference(rename_variables,[],[4572])).
% 190.85/190.74 cnf(11611,plain,
% 190.85/190.74 (E(f836(f274(x116111,x116111),f253(x116111,x116112)),x116112)),
% 190.85/190.74 inference(rename_variables,[],[3390])).
% 190.85/190.74 cnf(11614,plain,
% 190.85/190.74 (E(f836(f274(x116141,x116141),f253(x116141,x116142)),x116142)),
% 190.85/190.74 inference(rename_variables,[],[3390])).
% 190.85/190.74 cnf(11620,plain,
% 190.85/190.74 (~E(f836(a102,x116201),x116201)),
% 190.85/190.74 inference(rename_variables,[],[4572])).
% 190.85/190.74 cnf(11625,plain,
% 190.85/190.74 (~E(f836(f836(f74(a1),x116251),x116251),a87)),
% 190.85/190.74 inference(rename_variables,[],[4583])).
% 190.85/190.74 cnf(11632,plain,
% 190.85/190.74 (E(f836(f836(f23(a899),f2(a899)),x116321),f2(a899))),
% 190.85/190.74 inference(rename_variables,[],[3346])).
% 190.85/190.74 cnf(11635,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x116351),f2(a899)))),
% 190.85/190.74 inference(rename_variables,[],[4609])).
% 190.85/190.74 cnf(11642,plain,
% 190.85/190.74 (E(f836(f836(f74(a1),f836(f836(f75(a1),x116421),f836(f836(f31(a1),x116422),x116421))),f41(a1,x116422,x116421)),x116422)),
% 190.85/190.74 inference(rename_variables,[],[3973])).
% 190.85/190.74 cnf(11666,plain,
% 190.85/190.74 (~E(f836(a102,x116661),x116661)),
% 190.85/190.74 inference(rename_variables,[],[4572])).
% 190.85/190.74 cnf(11669,plain,
% 190.85/190.74 (~E(f836(a102,x116691),x116691)),
% 190.85/190.74 inference(rename_variables,[],[4572])).
% 190.85/190.74 cnf(11695,plain,
% 190.85/190.74 (~P1(f836(f836(f162(x116951),f103(x116951)),x116952))),
% 190.85/190.74 inference(rename_variables,[],[4612])).
% 190.85/190.74 cnf(11701,plain,
% 190.85/190.74 (P1(f836(f836(f225(a899),f2(a899)),f836(a102,x117011)))),
% 190.85/190.74 inference(rename_variables,[],[3508])).
% 190.85/190.74 cnf(11702,plain,
% 190.85/190.74 (~E(f836(a102,x117021),x117021)),
% 190.85/190.74 inference(rename_variables,[],[4572])).
% 190.85/190.74 cnf(11705,plain,
% 190.85/190.74 (P1(f836(f836(f318(x117051),x117052),f232(f906(x117051,a895))))),
% 190.85/190.74 inference(rename_variables,[],[3580])).
% 190.85/190.74 cnf(11717,plain,
% 190.85/190.74 (~E(f836(a102,x117171),x117171)),
% 190.85/190.74 inference(rename_variables,[],[4572])).
% 190.85/190.74 cnf(11720,plain,
% 190.85/190.74 (P1(f836(f836(f224(a1),x117201),x117201))),
% 190.85/190.74 inference(rename_variables,[],[3430])).
% 190.85/190.74 cnf(11727,plain,
% 190.85/190.74 (P1(f836(f61(x117271,x117272,x117273,x117274,f178(f906(x117271,a895))),x117274))),
% 190.85/190.74 inference(rename_variables,[],[4332])).
% 190.85/190.74 cnf(11728,plain,
% 190.85/190.74 (E(f836(f274(x117281,x117281),f253(x117281,x117282)),x117282)),
% 190.85/190.74 inference(rename_variables,[],[3390])).
% 190.85/190.74 cnf(11741,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),f836(f836(f74(a899),x117411),x117412)),x117412))),
% 190.85/190.74 inference(rename_variables,[],[4628])).
% 190.85/190.74 cnf(11744,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a1),f836(f90(a1),x117441)),f2(a1)))),
% 190.85/190.74 inference(rename_variables,[],[4621])).
% 190.85/190.74 cnf(11758,plain,
% 190.85/190.74 (~E(f836(f836(f228(a899),f836(a102,x117581)),x117581),f836(a102,x117581))),
% 190.85/190.74 inference(scs_inference,[],[3664,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,3350,4578,10626,10726,11190,3043,3051,3053,3057,3058,3076,3080,3095,3102,3108,3109,3111,3137,3165,3166,3188,3201,3211,3226,4570,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,3367,3882,3265,3973,11642,3329,3261,3289,3270,3894,3485,11037,3360,4055,4585,10457,10623,4614,11216,11315,11551,11554,3533,3324,10527,10856,3325,3243,3346,11632,4197,4057,11236,11367,11426,4633,11139,11380,11489,11515,11559,11565,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,3788,4583,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,3875,3413,3508,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,4621,3862,3633,4005,3458,3459,3432,4606,4580,3617,4622,4190,11512,3747,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,11320,11399,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,3430,10637,10871,10965,11084,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,11136,11370,11373,11452,11534,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,3489,10853,10886,10895,10898,10901,3522,3941,3880,10506,4613,10454,10841,10844,11339,11355,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4332,4627,10752,10755,4632,11225,11228,11414,11525,11542,4023,3870,11155,11161,3721,11295,3872,10892,11258,11423,11457,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,4201,3903,4628,10479,10482,10847,10850,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432])).
% 190.85/190.74 cnf(11767,plain,
% 190.85/190.74 (E(f836(f274(x117671,x117671),f253(x117671,x117672)),x117672)),
% 190.85/190.74 inference(rename_variables,[],[3390])).
% 190.85/190.74 cnf(11772,plain,
% 190.85/190.74 (E(f836(f274(x117721,x117721),f253(x117721,x117722)),x117722)),
% 190.85/190.74 inference(rename_variables,[],[3390])).
% 190.85/190.74 cnf(11775,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a1),f836(f90(a1),x117751)),f2(a1)))),
% 190.85/190.74 inference(rename_variables,[],[4621])).
% 190.85/190.74 cnf(11780,plain,
% 190.85/190.74 (~E(f836(a102,x117801),x117801)),
% 190.85/190.74 inference(rename_variables,[],[4572])).
% 190.85/190.74 cnf(11789,plain,
% 190.85/190.74 (~P1(f836(f836(f162(x117891),f103(x117891)),x117892))),
% 190.85/190.74 inference(rename_variables,[],[4612])).
% 190.85/190.74 cnf(11812,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a1),f836(f90(a1),x118121)),f2(a1)))),
% 190.85/190.74 inference(rename_variables,[],[4621])).
% 190.85/190.74 cnf(11815,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x118151),f2(a899)))),
% 190.85/190.74 inference(rename_variables,[],[4609])).
% 190.85/190.74 cnf(11816,plain,
% 190.85/190.74 (P1(f836(f836(f225(a899),x118161),f836(a102,x118161)))),
% 190.85/190.74 inference(rename_variables,[],[3496])).
% 190.85/190.74 cnf(11819,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a1),f836(f90(a1),x118191)),f2(a1)))),
% 190.85/190.74 inference(rename_variables,[],[4621])).
% 190.85/190.74 cnf(11821,plain,
% 190.85/190.74 (~P15(x118211,f318(f906(x118212,a895)))),
% 190.85/190.74 inference(scs_inference,[],[3664,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,3350,4578,10626,10726,11190,3043,3051,3053,3054,3057,3058,3076,3080,3095,3102,3108,3109,3111,3137,3165,3166,3180,3185,3186,3188,3192,3193,3201,3211,3226,4570,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,3367,3882,3265,3973,11642,3329,3261,3289,3284,3270,3894,3485,11037,3360,4055,4585,10457,10623,4614,11216,11315,11551,11554,3533,3324,10527,10856,3325,3243,3346,11632,4197,4057,11236,11367,11426,4633,11139,11380,11489,11515,11559,11565,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,3788,4583,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,3875,3413,3508,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,4621,11744,11775,11812,3862,3633,4005,3458,3459,3432,4606,4580,3617,4622,4190,11512,3747,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,11320,11399,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,3430,10637,10871,10965,11084,3431,4605,10474,10503,11009,11048,3580,10731,10822,11092,11136,11370,11373,11452,11534,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,3489,10853,10886,10895,10898,10901,3529,3522,3941,3880,10506,4613,10454,10841,10844,11339,11355,3450,10889,11042,4238,4610,3949,4597,4600,3406,3410,4599,4598,4332,4627,10752,10755,4632,11225,11228,11414,11525,11542,4023,3870,11155,11161,3721,11295,3872,10892,11258,11423,11457,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,4201,3903,4628,10479,10482,10847,10850,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596])).
% 190.85/190.74 cnf(11822,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x118221),x118222),f178(f906(x118221,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(11823,plain,
% 190.85/190.74 (P1(f836(f836(f318(f906(x118231,a895)),x118232),f836(f298(x118231),x118232)))),
% 190.85/190.74 inference(rename_variables,[],[3789])).
% 190.85/190.74 cnf(11838,plain,
% 190.85/190.74 (~P1(f836(f836(f224(a899),f836(a102,x118381)),x118381))),
% 190.85/190.74 inference(rename_variables,[],[4613])).
% 190.85/190.74 cnf(11839,plain,
% 190.85/190.74 (~E(f836(a102,x118391),x118391)),
% 190.85/190.74 inference(rename_variables,[],[4572])).
% 190.85/190.74 cnf(11849,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),f836(f836(f74(a899),x118491),x118492)),x118491))),
% 190.85/190.74 inference(rename_variables,[],[4629])).
% 190.85/190.74 cnf(11852,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a1),f836(f90(a1),x118521)),f2(a1)))),
% 190.85/190.74 inference(rename_variables,[],[4621])).
% 190.85/190.74 cnf(11855,plain,
% 190.85/190.74 (~E(f836(a102,x118551),x118551)),
% 190.85/190.74 inference(rename_variables,[],[4572])).
% 190.85/190.74 cnf(11868,plain,
% 190.85/190.74 (P1(f836(f836(f318(x118681),x118682),f836(f836(f299(x118681),x118682),x118683)))),
% 190.85/190.74 inference(rename_variables,[],[3737])).
% 190.85/190.74 cnf(11869,plain,
% 190.85/190.74 (~P1(f836(f836(f224(a1),f2(a1)),f836(f73(a1),f836(f90(a1),f836(a102,x118691)))))),
% 190.85/190.74 inference(rename_variables,[],[4630])).
% 190.85/190.74 cnf(11872,plain,
% 190.85/190.74 (P1(f836(f836(f225(a899),f836(f836(f23(a899),x118721),x118722)),f836(a102,x118721)))),
% 190.85/190.74 inference(rename_variables,[],[3875])).
% 190.85/190.74 cnf(11875,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),f41(a899,x118751,x118752)),x118751))),
% 190.85/190.74 inference(rename_variables,[],[3880])).
% 190.85/190.74 cnf(11881,plain,
% 190.85/190.74 (E(f836(f274(x118811,x118811),f253(x118811,x118812)),x118812)),
% 190.85/190.74 inference(rename_variables,[],[3390])).
% 190.85/190.74 cnf(11886,plain,
% 190.85/190.74 (E(f836(f836(f124(x118861),f159(x118861,x118862,x118863)),f159(x118861,x118864,x118863)),f836(f836(f124(x118861),f159(x118861,x118864,x118863)),f159(x118861,x118862,x118863)))),
% 190.85/190.74 inference(rename_variables,[],[3987])).
% 190.85/190.74 cnf(11891,plain,
% 190.85/190.74 (~P1(f836(f836(f224(a899),f836(a102,x118911)),x118911))),
% 190.85/190.74 inference(rename_variables,[],[4613])).
% 190.85/190.74 cnf(11900,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x119001),x119001))),
% 190.85/190.74 inference(rename_variables,[],[4605])).
% 190.85/190.74 cnf(11903,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),f41(a899,x119031,x119032)),x119031))),
% 190.85/190.74 inference(rename_variables,[],[3880])).
% 190.85/190.74 cnf(11904,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),f2(a899)),x119041))),
% 190.85/190.74 inference(rename_variables,[],[3450])).
% 190.85/190.74 cnf(11906,plain,
% 190.85/190.74 (~P1(f836(f836(f224(a1),f72(a1)),f2(a1)))),
% 190.85/190.74 inference(scs_inference,[],[3664,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,3350,4578,10626,10726,11190,3042,3043,3051,3053,3054,3057,3058,3076,3080,3095,3102,3108,3109,3111,3137,3165,3166,3180,3185,3186,3188,3192,3193,3199,3201,3211,3226,4570,3987,11886,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,3367,3882,3265,3626,3973,11642,3329,3261,3289,3284,3270,3894,3485,11037,3360,4055,4585,10457,10623,4614,11216,11315,11551,11554,3533,3324,10527,10856,3325,3585,3243,3346,11632,4197,4057,11236,11367,11426,4633,11139,11380,11489,11515,11559,11565,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,3788,4468,4469,4583,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,3875,3413,3508,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,4621,11744,11775,11812,11819,3862,3633,4005,3458,3459,3432,4606,4580,3617,4622,4190,11512,3747,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,11320,11399,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,3430,10637,10871,10965,11084,3431,4605,10474,10503,11009,11048,11057,3580,10731,10822,11092,11136,11370,11373,11452,11534,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,3489,10853,10886,10895,10898,10901,3529,3522,3941,3880,10506,11875,4613,10454,10841,10844,11339,11355,11838,3450,10889,11042,11112,4238,4610,3949,4597,4600,3406,3410,4599,4598,3737,4332,4627,10752,10755,4632,11225,11228,11414,11525,11542,4023,3870,11155,11161,3721,11295,3872,10892,11258,11423,11457,3581,3690,10805,10808,10904,11068,4630,4631,10645,4293,4201,3903,4628,10479,10482,10847,10850,4629,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880])).
% 190.85/190.74 cnf(11921,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x119211),x119211))),
% 190.85/190.74 inference(rename_variables,[],[4605])).
% 190.85/190.74 cnf(11924,plain,
% 190.85/190.74 (P1(f836(f836(f318(x119241),f836(x119242,x119243)),f836(f300(x119244,x119241,x119242),f232(f906(x119244,a895)))))),
% 190.85/190.74 inference(rename_variables,[],[4023])).
% 190.85/190.74 cnf(11925,plain,
% 190.85/190.74 (~P1(f836(f836(f224(a899),f836(a102,x119251)),x119251))),
% 190.85/190.74 inference(rename_variables,[],[4613])).
% 190.85/190.74 cnf(11928,plain,
% 190.85/190.74 (P1(f836(f836(f318(x119281),f836(x119282,x119283)),f836(f300(x119284,x119281,x119282),f232(f906(x119284,a895)))))),
% 190.85/190.74 inference(rename_variables,[],[4023])).
% 190.85/190.74 cnf(11929,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),f836(f836(f74(a899),x119291),x119292)),x119292))),
% 190.85/190.74 inference(rename_variables,[],[4628])).
% 190.85/190.74 cnf(11934,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),f836(f836(f74(a899),x119341),x119342)),x119341))),
% 190.85/190.74 inference(rename_variables,[],[4629])).
% 190.85/190.74 cnf(11937,plain,
% 190.85/190.74 (~P1(f836(f836(f162(x119371),f103(x119371)),x119372))),
% 190.85/190.74 inference(rename_variables,[],[4612])).
% 190.85/190.74 cnf(11940,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),x119401),x119401))),
% 190.85/190.74 inference(rename_variables,[],[3429])).
% 190.85/190.74 cnf(11948,plain,
% 190.85/190.74 (~P34(x119481,x119482,f103(x119481))),
% 190.85/190.74 inference(rename_variables,[],[4592])).
% 190.85/190.74 cnf(11951,plain,
% 190.85/190.74 (P1(f836(f836(f318(x119511),x119512),f232(f906(x119511,a895))))),
% 190.85/190.74 inference(rename_variables,[],[3580])).
% 190.85/190.74 cnf(11952,plain,
% 190.85/190.74 (~P1(f836(f836(f224(a899),f836(a102,x119521)),x119521))),
% 190.85/190.74 inference(rename_variables,[],[4613])).
% 190.85/190.74 cnf(11965,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x119651),x119652),f178(f906(x119651,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(11968,plain,
% 190.85/190.74 (E(f836(f836(f16(x119681,x119682),x119683),x119684),x119683)),
% 190.85/190.74 inference(rename_variables,[],[3420])).
% 190.85/190.74 cnf(11971,plain,
% 190.85/190.74 (E(f836(f836(f16(x119711,x119712),x119713),x119714),x119713)),
% 190.85/190.74 inference(rename_variables,[],[3420])).
% 190.85/190.74 cnf(11983,plain,
% 190.85/190.74 (P1(f836(f836(f225(a899),f2(a899)),f836(a102,x119831)))),
% 190.85/190.74 inference(rename_variables,[],[3508])).
% 190.85/190.74 cnf(11986,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),x119861),x119861))),
% 190.85/190.74 inference(rename_variables,[],[3429])).
% 190.85/190.74 cnf(11989,plain,
% 190.85/190.74 (P1(f836(f29(x119891),f836(f162(x119891),x119892)))),
% 190.85/190.74 inference(rename_variables,[],[3469])).
% 190.85/190.74 cnf(11992,plain,
% 190.85/190.74 (P1(f836(f29(x119921),f836(f162(x119921),x119922)))),
% 190.85/190.74 inference(rename_variables,[],[3469])).
% 190.85/190.74 cnf(11995,plain,
% 190.85/190.74 (P1(f836(f836(f224(a1),f836(f73(a1),f836(f90(a1),x119951))),f836(f90(a1),x119952)))),
% 190.85/190.74 inference(rename_variables,[],[3904])).
% 190.85/190.74 cnf(11998,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x119981),x119982),f178(f906(x119981,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(12014,plain,
% 190.85/190.74 (~P1(f836(f836(f318(a899),f2(a899)),f836(f294(a899),x120141)))),
% 190.85/190.74 inference(scs_inference,[],[3664,4591,4592,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,3350,4578,10626,10726,11190,3042,3043,3048,3051,3053,3054,3057,3058,3076,3080,3095,3102,3108,3109,3111,3137,3165,3166,3180,3185,3186,3188,3192,3193,3198,3199,3201,3211,3226,4570,3987,11886,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,3367,3882,3265,3626,3973,11642,3329,3261,3289,3284,3270,3894,3485,11037,3360,4055,4585,10457,10623,3420,11968,4614,11216,11315,11551,11554,3533,3324,10527,10856,3325,3585,3243,3346,11632,4197,4057,11236,11367,11426,4633,11139,11380,11489,11515,11559,11565,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,3788,4468,4469,4583,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,3875,11872,3413,3508,11701,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,4621,11744,11775,11812,11819,3862,3633,4005,3458,3459,3432,4606,4580,3617,4622,4190,11512,3747,3469,11989,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,11320,11399,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,3430,10637,10871,10965,11084,3431,3504,4605,10474,10503,11009,11048,11057,11900,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,3489,10853,10886,10895,10898,10901,3529,3522,3941,3880,10506,11875,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,3450,10889,11042,11112,3904,4238,4610,3949,4597,4600,3406,3410,4599,4598,3737,4332,4627,10752,10755,4632,11225,11228,11414,11525,11542,4023,11585,11924,3870,11155,11161,3721,11295,3872,10892,11258,11423,11457,3581,3690,10805,10808,10904,11068,4630,11869,4631,10645,4293,4201,3903,3848,4628,10479,10482,10847,10850,11741,4629,11849,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243])).
% 190.85/190.74 cnf(12016,plain,
% 190.85/190.74 (~P1(f836(f836(f318(a899),x120161),f836(f272(a899),f2(a899))))),
% 190.85/190.74 inference(scs_inference,[],[3664,4591,4592,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,3350,4578,10626,10726,11190,3042,3043,3048,3051,3053,3054,3057,3058,3076,3080,3095,3102,3108,3109,3111,3137,3165,3166,3180,3185,3186,3188,3192,3193,3198,3199,3201,3211,3226,4570,3987,11886,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,3367,3882,3265,3626,3973,11642,3329,3261,3289,3284,3270,3894,3485,11037,3360,4055,4585,10457,10623,3420,11968,4614,11216,11315,11551,11554,3533,3324,10527,10856,3325,3585,3243,3346,11632,4197,4057,11236,11367,11426,4633,11139,11380,11489,11515,11559,11565,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,3788,4468,4469,4583,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,3875,11872,3413,3508,11701,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,4621,11744,11775,11812,11819,3862,3633,4005,3458,3459,3432,4606,4580,3617,4622,4190,11512,3747,3469,11989,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,11320,11399,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,3430,10637,10871,10965,11084,3431,3504,4605,10474,10503,11009,11048,11057,11900,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,3489,10853,10886,10895,10898,10901,3529,3522,3941,3880,10506,11875,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,3450,10889,11042,11112,3904,4238,4610,3949,4597,4600,3406,3410,4599,4598,3737,4332,4627,10752,10755,4632,11225,11228,11414,11525,11542,4023,11585,11924,3870,11155,11161,3721,11295,3872,10892,11258,11423,11457,3581,3690,10805,10808,10904,11068,4630,11869,4631,10645,4293,4201,3903,3848,4628,10479,10482,10847,10850,11741,4629,11849,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244])).
% 190.85/190.74 cnf(12018,plain,
% 190.85/190.74 (P1(f836(f836(f224(a1),f41(a899,x120181,f178(a899))),x120181))),
% 190.85/190.74 inference(scs_inference,[],[3664,4591,4592,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,3350,4578,10626,10726,11190,3042,3043,3048,3051,3053,3054,3057,3058,3076,3080,3095,3102,3108,3109,3111,3137,3165,3166,3180,3185,3186,3188,3192,3193,3198,3199,3201,3211,3226,4570,3987,11886,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,3367,3882,3265,3626,3973,11642,3329,3261,3289,3284,3270,3894,3485,11037,3360,4055,4585,10457,10623,3420,11968,4614,11216,11315,11551,11554,3533,3324,10527,10856,3325,3585,3243,3346,11632,4197,4057,11236,11367,11426,4633,11139,11380,11489,11515,11559,11565,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,3788,4468,4469,4583,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,3875,11872,3413,3508,11701,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,4621,11744,11775,11812,11819,3862,3633,4005,3458,3459,3432,4606,4580,3617,4622,4190,11512,3747,3469,11989,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,11320,11399,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,3430,10637,10871,10965,11084,11720,3431,3504,4605,10474,10503,11009,11048,11057,11900,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,3489,10853,10886,10895,10898,10901,3529,3522,3941,3880,10506,11875,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,3450,10889,11042,11112,3904,4238,4610,3949,4597,4600,3406,3410,4599,4598,3737,4332,4627,10752,10755,4632,11225,11228,11414,11525,11542,4023,11585,11924,3870,11155,11161,3721,11295,3872,10892,11258,11423,11457,3581,3690,10805,10808,10904,11068,4630,11869,4631,10645,4293,4201,3903,3848,4628,10479,10482,10847,10850,11741,4629,11849,3873,10811,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276])).
% 190.85/190.74 cnf(12019,plain,
% 190.85/190.74 (P1(f836(f836(f224(a1),x120191),x120191))),
% 190.85/190.74 inference(rename_variables,[],[3430])).
% 190.85/190.74 cnf(12022,plain,
% 190.85/190.74 (P1(f836(f836(f225(a899),x120221),f836(a102,x120221)))),
% 190.85/190.74 inference(rename_variables,[],[3496])).
% 190.85/190.74 cnf(12025,plain,
% 190.85/190.74 (P1(f836(f836(f224(a1),x120251),x120251))),
% 190.85/190.74 inference(rename_variables,[],[3430])).
% 190.85/190.74 cnf(12036,plain,
% 190.85/190.74 (P1(f836(f836(f224(a1),x120361),x120361))),
% 190.85/190.74 inference(rename_variables,[],[3430])).
% 190.85/190.74 cnf(12039,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x120391),f2(a899)))),
% 190.85/190.74 inference(rename_variables,[],[4609])).
% 190.85/190.74 cnf(12044,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x120441),f2(a899)))),
% 190.85/190.74 inference(rename_variables,[],[4609])).
% 190.85/190.74 cnf(12053,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),f2(a899)),x120531))),
% 190.85/190.74 inference(rename_variables,[],[3450])).
% 190.85/190.74 cnf(12054,plain,
% 190.85/190.74 (~P1(f836(f836(f224(a899),f836(a102,x120541)),x120541))),
% 190.85/190.74 inference(rename_variables,[],[4613])).
% 190.85/190.74 cnf(12057,plain,
% 190.85/190.74 (~P1(f836(f836(f162(x120571),f103(x120571)),x120572))),
% 190.85/190.74 inference(rename_variables,[],[4612])).
% 190.85/190.74 cnf(12060,plain,
% 190.85/190.74 (~P1(f836(f836(f162(x120601),f103(x120601)),x120602))),
% 190.85/190.74 inference(rename_variables,[],[4612])).
% 190.85/190.74 cnf(12066,plain,
% 190.85/190.74 (~P1(f836(f836(f277(a899),f836(a102,f836(f836(f74(a899),f836(a102,f2(a899))),x120661))),f836(a102,f2(a899))))),
% 190.85/190.74 inference(scs_inference,[],[3664,4591,4592,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,3350,4578,10626,10726,11190,3042,3043,3048,3051,3053,3054,3057,3058,3066,3076,3080,3095,3102,3108,3109,3111,3120,3137,3165,3166,3180,3185,3186,3188,3192,3193,3198,3199,3201,3211,3226,4570,3987,11886,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,3367,3882,3265,3626,3973,11642,3329,3261,3289,3284,3270,3894,3485,11037,3360,4055,4585,10457,10623,3420,11968,4614,11216,11315,11551,11554,3533,3324,10527,10856,3325,3585,3243,3346,11632,4197,4057,11236,11367,11426,4633,11139,11380,11489,11515,11559,11565,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,3788,4468,4469,4583,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,3875,11872,3413,3508,11701,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,4621,11744,11775,11812,11819,3862,3633,4005,3458,3459,3432,4606,4580,3617,4622,4190,11512,3747,3469,11989,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,11320,11399,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,3430,10637,10871,10965,11084,11720,12019,12025,3431,3504,4605,10474,10503,11009,11048,11057,11900,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,3489,10853,10886,10895,10898,10901,3529,3522,3941,3880,10506,11875,11903,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,3450,10889,11042,11112,11904,3904,4238,4610,3949,4597,4600,3406,3410,4599,4598,3737,4332,4627,10752,10755,4632,11225,11228,11414,11525,11542,4023,11585,11924,3870,11155,11161,3721,11295,3872,10892,11258,11423,11457,3581,3690,10805,10808,10904,11068,4630,11869,4631,10645,4293,4201,3903,3848,4628,10479,10482,10847,10850,11741,4629,11849,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500])).
% 190.85/190.74 cnf(12068,plain,
% 190.85/190.74 (P1(f836(f836(f225(a899),x120681),f836(a102,x120681)))),
% 190.85/190.74 inference(rename_variables,[],[3496])).
% 190.85/190.74 cnf(12076,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a1),f836(f90(a1),f836(a102,x120761))),f836(f73(a1),f2(a1))))),
% 190.85/190.74 inference(scs_inference,[],[3664,4591,4592,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,3350,4578,10626,10726,11190,3040,3042,3043,3048,3051,3053,3054,3057,3058,3066,3076,3080,3095,3102,3108,3109,3111,3120,3137,3165,3166,3180,3185,3186,3188,3192,3193,3198,3199,3201,3211,3226,4570,3987,11886,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,3367,3882,3265,3626,3973,11642,3329,3261,3289,3284,3270,3894,3485,11037,3360,4055,4585,10457,10623,3420,11968,4614,11216,11315,11551,11554,3533,3324,10527,10856,3325,3585,3243,3346,11632,4197,4057,11236,11367,11426,4633,11139,11380,11489,11515,11559,11565,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,3788,4468,4469,4583,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,3875,11872,3413,3508,11701,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,4621,11744,11775,11812,11819,11852,3862,3633,4005,3458,3459,3432,4606,4580,3617,4622,4190,11512,3747,3469,11989,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,11320,11399,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,3430,10637,10871,10965,11084,11720,12019,12025,3431,3504,4605,10474,10503,11009,11048,11057,11900,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,3489,10853,10886,10895,10898,10901,3529,3522,3941,3880,10506,11875,11903,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,3450,10889,11042,11112,11904,3904,4238,4610,3949,4597,4600,3406,3410,4599,4598,3737,4332,4627,10752,10755,4632,11225,11228,11414,11525,11542,4023,11585,11924,3870,11155,11161,3721,11295,3872,10892,11258,11423,11457,3581,3690,10805,10808,10904,11068,4630,11869,4631,10645,4293,4201,3903,3848,4628,10479,10482,10847,10850,11741,4629,11849,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500,6513,6534,6540,6542])).
% 190.85/190.74 cnf(12080,plain,
% 190.85/190.74 (P1(f836(f836(f225(a1),f836(f73(a1),f72(a1))),f2(a1)))),
% 190.85/190.74 inference(scs_inference,[],[3664,4591,4592,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,3350,4578,10626,10726,11190,3040,3042,3043,3048,3051,3053,3054,3057,3058,3066,3076,3080,3095,3102,3108,3109,3111,3120,3137,3165,3166,3180,3185,3186,3188,3192,3193,3198,3199,3201,3211,3226,4570,3987,11886,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,3367,3882,3265,3626,3973,11642,3329,3261,3289,3284,3270,3894,3485,11037,3360,4055,4585,10457,10623,3420,11968,4614,11216,11315,11551,11554,3533,3324,10527,10856,3325,3585,3243,3346,11632,4197,4057,11236,11367,11426,4633,11139,11380,11489,11515,11559,11565,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,3788,4468,4469,4583,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,3875,11872,3413,3508,11701,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,4621,11744,11775,11812,11819,11852,3862,3633,4005,3458,3459,3432,4606,4580,3617,4622,4190,11512,3747,3469,11989,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,11320,11399,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,3430,10637,10871,10965,11084,11720,12019,12025,3431,3504,4605,10474,10503,11009,11048,11057,11900,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,3489,10853,10886,10895,10898,10901,3529,3522,3941,3880,10506,11875,11903,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,3450,10889,11042,11112,11904,3904,4238,4610,3949,4597,4600,3406,3410,4599,4598,3737,4332,4627,10752,10755,4632,11225,11228,11414,11525,11542,4023,11585,11924,3870,11155,11161,3721,11295,3872,10892,11258,11423,11457,3581,3690,10805,10808,10904,11068,4630,11869,4631,10645,4293,4201,3903,3848,4628,10479,10482,10847,10850,11741,4629,11849,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500,6513,6534,6540,6542,6557,6558])).
% 190.85/190.74 cnf(12083,plain,
% 190.85/190.74 (~P1(f836(f836(f224(a899),f836(a102,x120831)),x120831))),
% 190.85/190.74 inference(rename_variables,[],[4613])).
% 190.85/190.74 cnf(12086,plain,
% 190.85/190.74 (~P1(f836(f836(f224(a899),f836(a102,x120861)),x120861))),
% 190.85/190.74 inference(rename_variables,[],[4613])).
% 190.85/190.74 cnf(12089,plain,
% 190.85/190.74 (~P1(f836(f836(f224(a899),f836(a102,x120891)),x120891))),
% 190.85/190.74 inference(rename_variables,[],[4613])).
% 190.85/190.74 cnf(12092,plain,
% 190.85/190.74 (~P1(f836(f836(f224(a899),f836(a102,x120921)),x120921))),
% 190.85/190.74 inference(rename_variables,[],[4613])).
% 190.85/190.74 cnf(12095,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x120951),x120951))),
% 190.85/190.74 inference(rename_variables,[],[4605])).
% 190.85/190.74 cnf(12098,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x120981),x120981))),
% 190.85/190.74 inference(rename_variables,[],[4605])).
% 190.85/190.74 cnf(12101,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x121011),x121011))),
% 190.85/190.74 inference(rename_variables,[],[4605])).
% 190.85/190.74 cnf(12104,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x121041),x121041))),
% 190.85/190.74 inference(rename_variables,[],[4605])).
% 190.85/190.74 cnf(12120,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),f836(f836(f23(a899),x121201),f836(a102,x121201))),f2(a899)))),
% 190.85/190.74 inference(scs_inference,[],[3664,4591,4592,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,3350,4578,10626,10726,11190,3040,3042,3043,3048,3051,3053,3054,3057,3058,3066,3076,3080,3095,3102,3108,3109,3111,3120,3137,3165,3166,3180,3185,3186,3188,3192,3193,3198,3199,3201,3211,3226,4570,3987,11886,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,3367,3882,3265,3626,3973,11642,3329,3261,3289,3284,3270,3894,3485,11037,3360,4055,4585,10457,10623,3420,11968,4614,11216,11315,11551,11554,3533,3324,10527,10856,3325,3585,3243,3346,11632,4197,4057,11236,11367,11426,4633,11139,11380,11489,11515,11559,11565,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,3788,4468,4469,4583,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,3875,11872,3413,3508,11701,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,4621,11744,11775,11812,11819,11852,3862,3633,4005,3458,3459,3432,4606,4580,3617,4622,4190,11512,3747,3469,11989,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,11320,11399,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,3430,10637,10871,10965,11084,11720,12019,12025,3431,3504,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,3489,10853,10886,10895,10898,10901,3529,3522,3941,3880,10506,11875,11903,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,3450,10889,11042,11112,11904,3904,4238,4610,3949,4597,4600,3406,3410,4599,4598,3737,4332,4627,10752,10755,4632,11225,11228,11414,11525,11542,4023,11585,11924,3870,11155,11161,3721,11295,3872,10892,11258,11423,11457,3581,3690,10805,10808,10904,11068,4630,11869,4631,10645,4293,4201,3903,3848,4628,10479,10482,10847,10850,11741,4629,11849,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500,6513,6534,6540,6542,6557,6558,6562,6564,6565,6566,6568,6570,6571,6572,6579,6585,6586,6588,6589,6595,6597,6639])).
% 190.85/190.74 cnf(12121,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),x121211),x121211))),
% 190.85/190.74 inference(rename_variables,[],[3429])).
% 190.85/190.74 cnf(12124,plain,
% 190.85/190.74 (P24(a899,a899,a102,x121241)),
% 190.85/190.74 inference(rename_variables,[],[3632])).
% 190.85/190.74 cnf(12126,plain,
% 190.85/190.74 (P1(f836(f836(f224(a1),x121261),f836(f70(a1),x121261)))),
% 190.85/190.74 inference(scs_inference,[],[3664,4591,4592,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,3632,3350,4578,10626,10726,11190,3040,3042,3043,3048,3051,3053,3054,3057,3058,3066,3076,3080,3095,3102,3108,3109,3111,3120,3137,3165,3166,3180,3185,3186,3188,3192,3193,3198,3199,3201,3211,3226,4570,3987,11886,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,3367,3882,3265,3626,3973,11642,3329,3261,3289,3284,3270,3894,3485,11037,3360,4055,4585,10457,10623,3420,11968,4614,11216,11315,11551,11554,3533,3324,10527,10856,3325,3585,3243,3346,11632,4197,4057,11236,11367,11426,4633,11139,11380,11489,11515,11559,11565,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,3788,4468,4469,4583,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,3875,11872,3413,3508,11701,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,4621,11744,11775,11812,11819,11852,3862,3633,4005,3458,3459,3432,4606,4580,3617,4622,4190,11512,3747,3469,11989,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,4159,4066,10874,4113,3789,4147,3806,10589,10686,11242,11320,11399,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,3430,10637,10871,10965,11084,11720,12019,12025,12036,3431,3504,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,3489,10853,10886,10895,10898,10901,3529,3522,3941,3880,10506,11875,11903,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,3450,10889,11042,11112,11904,3904,4238,4610,3949,4597,4600,3406,3410,4599,4598,3737,4332,4627,10752,10755,4632,11225,11228,11414,11525,11542,4023,11585,11924,3870,11155,11161,3721,11295,3872,10892,11258,11423,11457,3581,3690,10805,10808,10904,11068,4630,11869,4631,10645,4293,4201,3903,3848,4628,10479,10482,10847,10850,11741,4629,11849,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500,6513,6534,6540,6542,6557,6558,6562,6564,6565,6566,6568,6570,6571,6572,6579,6585,6586,6588,6589,6595,6597,6639,6645,6660])).
% 190.85/190.74 cnf(12127,plain,
% 190.85/190.74 (P1(f836(f836(f224(a1),x121271),x121271))),
% 190.85/190.74 inference(rename_variables,[],[3430])).
% 190.85/190.74 cnf(12138,plain,
% 190.85/190.74 (P1(f836(f836(f224(a1),x121381),x121381))),
% 190.85/190.74 inference(rename_variables,[],[3430])).
% 190.85/190.74 cnf(12141,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(f905(f900(x121411),f900(x121411)),a895)),f148(x121411,x121412)),f297(f900(x121411),f147(x121411,x121412))))),
% 190.85/190.74 inference(rename_variables,[],[4118])).
% 190.85/190.74 cnf(12148,plain,
% 190.85/190.74 (P1(f836(f836(f225(a899),x121481),f836(a102,x121481)))),
% 190.85/190.74 inference(rename_variables,[],[3496])).
% 190.85/190.74 cnf(12151,plain,
% 190.85/190.74 (P1(f836(f836(f318(f906(x121511,a895)),x121512),f836(f298(x121511),x121512)))),
% 190.85/190.74 inference(rename_variables,[],[3789])).
% 190.85/190.74 cnf(12152,plain,
% 190.85/190.74 (~E(f836(a102,x121521),x121521)),
% 190.85/190.74 inference(rename_variables,[],[4572])).
% 190.85/190.74 cnf(12157,plain,
% 190.85/190.74 (P1(f836(f836(f224(a1),x121571),x121571))),
% 190.85/190.74 inference(rename_variables,[],[3430])).
% 190.85/190.74 cnf(12162,plain,
% 190.85/190.74 (P1(f836(f836(f224(a1),x121621),x121621))),
% 190.85/190.74 inference(rename_variables,[],[3430])).
% 190.85/190.74 cnf(12173,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x121731,a895)),x121732),f836(f836(f299(x121731),x121733),x121732)))),
% 190.85/190.74 inference(rename_variables,[],[3870])).
% 190.85/190.74 cnf(12176,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),x121761),x121761))),
% 190.85/190.74 inference(rename_variables,[],[3429])).
% 190.85/190.74 cnf(12177,plain,
% 190.85/190.74 (~E(f836(a102,x121771),x121771)),
% 190.85/190.74 inference(rename_variables,[],[4572])).
% 190.85/190.74 cnf(12190,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x121901),x121901))),
% 190.85/190.74 inference(rename_variables,[],[4605])).
% 190.85/190.74 cnf(12191,plain,
% 190.85/190.74 (~E(f836(a102,x121911),x121911)),
% 190.85/190.74 inference(rename_variables,[],[4572])).
% 190.85/190.74 cnf(12194,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),x121941),x121941))),
% 190.85/190.74 inference(rename_variables,[],[3429])).
% 190.85/190.74 cnf(12197,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),x121971),x121971))),
% 190.85/190.74 inference(rename_variables,[],[3429])).
% 190.85/190.74 cnf(12200,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),x122001),x122001))),
% 190.85/190.74 inference(rename_variables,[],[3429])).
% 190.85/190.74 cnf(12203,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),x122031),x122031))),
% 190.85/190.74 inference(rename_variables,[],[3429])).
% 190.85/190.74 cnf(12206,plain,
% 190.85/190.74 (P1(f836(f836(f224(a1),x122061),x122061))),
% 190.85/190.74 inference(rename_variables,[],[3430])).
% 190.85/190.74 cnf(12209,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x122091),x122091))),
% 190.85/190.74 inference(rename_variables,[],[4605])).
% 190.85/190.74 cnf(12212,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x122121),x122121))),
% 190.85/190.74 inference(rename_variables,[],[4605])).
% 190.85/190.74 cnf(12213,plain,
% 190.85/190.74 (P1(f836(f836(f225(a899),x122131),f836(a102,x122131)))),
% 190.85/190.74 inference(rename_variables,[],[3496])).
% 190.85/190.74 cnf(12220,plain,
% 190.85/190.74 (~E(f836(a102,x122201),x122201)),
% 190.85/190.74 inference(rename_variables,[],[4572])).
% 190.85/190.74 cnf(12225,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x122251),x122251))),
% 190.85/190.74 inference(rename_variables,[],[4605])).
% 190.85/190.74 cnf(12226,plain,
% 190.85/190.74 (~E(f836(a102,x122261),x122261)),
% 190.85/190.74 inference(rename_variables,[],[4572])).
% 190.85/190.74 cnf(12229,plain,
% 190.85/190.74 (P1(f836(f836(f224(a1),x122291),x122291))),
% 190.85/190.74 inference(rename_variables,[],[3430])).
% 190.85/190.74 cnf(12246,plain,
% 190.85/190.74 (P1(f836(f836(f224(a1),x122461),x122461))),
% 190.85/190.74 inference(rename_variables,[],[3430])).
% 190.85/190.74 cnf(12251,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),f2(a899)),x122511))),
% 190.85/190.74 inference(rename_variables,[],[3450])).
% 190.85/190.74 cnf(12267,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x122671),f2(a899)))),
% 190.85/190.74 inference(rename_variables,[],[4609])).
% 190.85/190.74 cnf(12270,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x122701),f2(a899)))),
% 190.85/190.74 inference(rename_variables,[],[4609])).
% 190.85/190.74 cnf(12273,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x122731),x122732),f178(f906(x122731,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(12276,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x122761),x122762),f178(f906(x122761,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(12279,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x122791),x122791))),
% 190.85/190.74 inference(rename_variables,[],[4605])).
% 190.85/190.74 cnf(12281,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x122811),f836(f836(f228(a899),x122811),x122812)))),
% 190.85/190.74 inference(scs_inference,[],[3664,4591,4592,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,3632,3350,4578,10626,10726,11190,3040,3042,3043,3048,3051,3053,3054,3057,3058,3066,3076,3080,3095,3102,3108,3109,3111,3120,3137,3165,3166,3180,3185,3186,3188,3192,3193,3198,3199,3201,3211,3226,4570,3987,11886,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,3367,3376,3882,4183,3265,3626,3973,11642,3329,3261,3289,3284,3270,3894,3485,11037,3360,4055,4585,10457,10623,3420,11968,4614,11216,11315,11551,11554,3533,3324,10527,10856,3325,3585,3243,3346,11632,4197,4057,11236,11367,11426,4633,11139,11380,11489,11515,11559,11565,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,3788,4468,4469,4583,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,3875,11872,3413,3508,11701,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,4621,11744,11775,11812,11819,11852,3862,3633,4005,3458,3459,3432,4606,4580,3617,4622,4190,11512,3747,3469,11989,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,4159,4118,4066,10874,4113,3789,11823,4147,3806,10589,10686,11242,11320,11399,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,3431,3504,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,3489,10853,10886,10895,10898,10901,3529,3522,3941,3880,10506,11875,11903,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,3450,10889,11042,11112,11904,12053,3904,4238,4610,3915,3949,4597,4600,3406,3410,4599,4598,3737,4332,4627,10752,10755,4632,11225,11228,11414,11525,11542,4023,11585,11924,3870,11155,11161,11179,3721,11295,3872,10892,11258,11423,11457,3581,3690,10805,10808,10904,11068,4630,11869,4631,10645,4293,4201,3903,3848,4628,10479,10482,10847,10850,11741,4629,11849,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500,6513,6534,6540,6542,6557,6558,6562,6564,6565,6566,6568,6570,6571,6572,6579,6585,6586,6588,6589,6595,6597,6639,6645,6660,6664,6665,6666,6700,6705,6707,6712,6713,6723,6727,6741,6764,6765,6767,6768,6779,6784,6804,6807,6829,6849,6862,6863,6864,6870,6884,6903,6905,6907,6909,6914,6920,6922,6936,6941,6942,6979,6980,6981,6998,6999,7001,7002,7022,7024,7039,7067,7090,7101,7103,7105,7107,7108,7139,7140,7141,7145,7146,7154,7156])).
% 190.85/190.74 cnf(12282,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x122821),x122821))),
% 190.85/190.74 inference(rename_variables,[],[4605])).
% 190.85/190.74 cnf(12284,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x122841),f836(f836(f92(a899),x122842),x122841)))),
% 190.85/190.74 inference(scs_inference,[],[3664,4591,4592,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,3632,3350,4578,10626,10726,11190,3040,3042,3043,3048,3051,3053,3054,3057,3058,3066,3076,3080,3095,3102,3108,3109,3111,3120,3137,3165,3166,3180,3185,3186,3188,3192,3193,3198,3199,3201,3211,3226,4570,3987,11886,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,3367,3376,3882,4183,3265,3626,3973,11642,3329,3261,3289,3284,3270,3894,3485,11037,3360,4055,4585,10457,10623,3420,11968,4614,11216,11315,11551,11554,3533,3324,10527,10856,3325,3585,3243,3346,11632,4197,4057,11236,11367,11426,4633,11139,11380,11489,11515,11559,11565,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,3788,4468,4469,4583,3725,3937,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,3875,11872,3413,3508,11701,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,4621,11744,11775,11812,11819,11852,3862,3633,4005,3458,3459,3432,4606,4580,3617,4622,4190,11512,3747,3469,11989,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,4159,4118,4066,10874,4113,3789,11823,4147,3806,10589,10686,11242,11320,11399,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,3431,3504,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,3489,10853,10886,10895,10898,10901,3529,3522,3941,3880,10506,11875,11903,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,3450,10889,11042,11112,11904,12053,3904,4238,4610,3915,3949,4597,4600,3406,3410,4599,4598,3737,4332,4627,10752,10755,4632,11225,11228,11414,11525,11542,4023,11585,11924,3870,11155,11161,11179,3721,11295,3872,10892,11258,11423,11457,3581,3690,10805,10808,10904,11068,4630,11869,4631,10645,4293,4201,3903,3848,4628,10479,10482,10847,10850,11741,4629,11849,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500,6513,6534,6540,6542,6557,6558,6562,6564,6565,6566,6568,6570,6571,6572,6579,6585,6586,6588,6589,6595,6597,6639,6645,6660,6664,6665,6666,6700,6705,6707,6712,6713,6723,6727,6741,6764,6765,6767,6768,6779,6784,6804,6807,6829,6849,6862,6863,6864,6870,6884,6903,6905,6907,6909,6914,6920,6922,6936,6941,6942,6979,6980,6981,6998,6999,7001,7002,7022,7024,7039,7067,7090,7101,7103,7105,7107,7108,7139,7140,7141,7145,7146,7154,7156,7157])).
% 190.85/190.74 cnf(12285,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x122851),x122851))),
% 190.85/190.74 inference(rename_variables,[],[4605])).
% 190.85/190.74 cnf(12288,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x122881),x122881))),
% 190.85/190.74 inference(rename_variables,[],[4605])).
% 190.85/190.74 cnf(12291,plain,
% 190.85/190.74 (P1(f836(f836(f225(a899),x122911),f836(a102,x122911)))),
% 190.85/190.74 inference(rename_variables,[],[3496])).
% 190.85/190.74 cnf(12298,plain,
% 190.85/190.74 (P1(f836(f836(f318(f906(x122981,a895)),x122982),f836(f298(x122981),x122982)))),
% 190.85/190.74 inference(rename_variables,[],[3789])).
% 190.85/190.74 cnf(12303,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x123031,a895)),x123032),f836(f836(f299(x123031),x123033),x123032)))),
% 190.85/190.74 inference(rename_variables,[],[3870])).
% 190.85/190.74 cnf(12310,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x123101),x123102),f178(f906(x123101,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(12319,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x123191,a895)),x123192),f232(f906(x123191,a895))))),
% 190.85/190.74 inference(rename_variables,[],[3806])).
% 190.85/190.74 cnf(12320,plain,
% 190.85/190.74 (~E(f836(a102,x123201),x123201)),
% 190.85/190.74 inference(rename_variables,[],[4572])).
% 190.85/190.74 cnf(12326,plain,
% 190.85/190.74 (P1(f836(f836(f225(a899),x123261),f836(a102,x123261)))),
% 190.85/190.74 inference(rename_variables,[],[3496])).
% 190.85/190.74 cnf(12334,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(x123341,x123341)),x123342),f143(x123341,f103(f906(x123341,a899)))))),
% 190.85/190.74 inference(scs_inference,[],[3664,4591,4592,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,3632,3350,4578,10626,10726,11190,3040,3042,3043,3047,3048,3051,3053,3054,3057,3058,3066,3076,3080,3095,3102,3108,3109,3111,3120,3137,3165,3166,3180,3185,3186,3188,3192,3193,3198,3199,3201,3211,3226,4570,3987,11886,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,3367,3376,3882,4183,3265,3626,3973,11642,3329,3261,3289,3284,3270,3894,3485,11037,3360,4055,4585,10457,10623,3420,11968,4614,11216,11315,11551,11554,3533,3324,10527,10856,3325,3585,3243,3346,11632,4197,4057,11236,11367,11426,4633,11139,11380,11489,11515,11559,11565,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,3788,4468,4469,4583,3725,3937,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,3875,11872,3413,3508,11701,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,4621,11744,11775,11812,11819,11852,3862,3633,4005,3458,3459,3432,4606,4580,3617,4622,4190,11512,3747,3469,11989,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,4159,4118,4066,10874,4113,3789,11823,12151,4147,3806,10589,10686,11242,11320,11399,11463,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,3431,3504,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,3489,10853,10886,10895,10898,10901,3529,3522,3941,3880,10506,11875,11903,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,3450,10889,11042,11112,11904,12053,3904,4238,4610,3915,3949,4597,4600,3406,3410,4599,4598,3737,4332,4627,10752,10755,4632,11225,11228,11414,11525,11542,4023,11585,11924,3870,11155,11161,11179,12173,3721,11295,3872,10892,11258,11423,11457,3581,3690,10805,10808,10904,11068,4630,11869,4631,10645,4293,4201,3903,3848,4628,10479,10482,10847,10850,11741,4629,11849,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,1030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% 190.85/190.74 cnf(12335,plain,
% 190.85/190.74 (E(f836(f274(x123351,x123351),f253(x123351,x123352)),x123352)),
% 190.85/190.74 inference(rename_variables,[],[3390])).
% 190.85/190.74 cnf(12346,plain,
% 190.85/190.74 (~P1(f836(f836(f224(a899),f836(a102,x123461)),x123461))),
% 190.85/190.74 inference(rename_variables,[],[4613])).
% 190.85/190.74 cnf(12347,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x123471),f2(a899)))),
% 190.85/190.74 inference(rename_variables,[],[4609])).
% 190.85/190.74 cnf(12352,plain,
% 190.85/190.74 (P1(f836(f29(x123521),f178(f906(x123521,a895))))),
% 190.85/190.74 inference(rename_variables,[],[3504])).
% 190.85/190.74 cnf(12353,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x123531),x123532),f178(f906(x123531,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(12360,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x123601,a895)),f836(f162(x123601),f166(x123601,x123602,x123603))),f836(f162(x123601),x123602)))),
% 190.85/190.74 inference(rename_variables,[],[4113])).
% 190.85/190.74 cnf(12363,plain,
% 190.85/190.74 (P24(x123631,x123631,f5(x123631),x123632)),
% 190.85/190.74 inference(rename_variables,[],[3664])).
% 190.85/190.74 cnf(12368,plain,
% 190.85/190.74 (P1(f836(f836(f318(f906(x123681,a895)),x123682),f836(f298(x123681),x123682)))),
% 190.85/190.74 inference(rename_variables,[],[3789])).
% 190.85/190.74 cnf(12375,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),x123751),x123751))),
% 190.85/190.74 inference(rename_variables,[],[3429])).
% 190.85/190.74 cnf(12378,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x123781),x123782),f178(f906(x123781,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(12381,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x123811,a895)),x123812),f836(f836(f299(x123811),x123813),x123812)))),
% 190.85/190.74 inference(rename_variables,[],[3870])).
% 190.85/190.74 cnf(12382,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x123821,a895)),x123822),f232(f906(x123821,a895))))),
% 190.85/190.74 inference(rename_variables,[],[3806])).
% 190.85/190.74 cnf(12389,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),x123891),x123891))),
% 190.85/190.74 inference(rename_variables,[],[3429])).
% 190.85/190.74 cnf(12392,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),x123921),x123921))),
% 190.85/190.74 inference(rename_variables,[],[3429])).
% 190.85/190.74 cnf(12395,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),x123951),x123951))),
% 190.85/190.74 inference(rename_variables,[],[3429])).
% 190.85/190.74 cnf(12398,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),x123981),x123981))),
% 190.85/190.74 inference(rename_variables,[],[3429])).
% 190.85/190.74 cnf(12401,plain,
% 190.85/190.74 (P1(f836(f836(f225(a899),x124011),f836(a102,x124011)))),
% 190.85/190.74 inference(rename_variables,[],[3496])).
% 190.85/190.74 cnf(12404,plain,
% 190.85/190.74 (P1(f836(f836(f225(a899),x124041),f836(a102,x124041)))),
% 190.85/190.74 inference(rename_variables,[],[3496])).
% 190.85/190.74 cnf(12407,plain,
% 190.85/190.74 (P1(f836(f836(f277(a899),x124071),x124071))),
% 190.85/190.74 inference(rename_variables,[],[3431])).
% 190.85/190.74 cnf(12410,plain,
% 190.85/190.74 (P1(f836(f836(f277(a899),x124101),x124101))),
% 190.85/190.74 inference(rename_variables,[],[3431])).
% 190.85/190.74 cnf(12413,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x124131,a895)),x124132),x124132))),
% 190.85/190.74 inference(rename_variables,[],[3721])).
% 190.85/190.74 cnf(12415,plain,
% 190.85/190.74 (~P1(f836(f836(f224(a1),f836(f836(f23(a1),a77),a87)),f2(a1)))),
% 190.85/190.74 inference(scs_inference,[],[3664,11310,4591,4592,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,3632,3350,4578,10626,10726,11190,3040,3042,3043,3047,3048,3051,3053,3054,3056,3057,3058,3066,3076,3080,3095,3102,3105,3108,3109,3111,3120,3137,3165,3166,3180,3185,3186,3188,3192,3193,3198,3199,3201,3211,3226,4570,3987,11886,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,3367,3376,3882,4183,3265,3626,3973,11642,3329,3261,3289,3284,3270,3894,3485,11037,3360,4055,4585,10457,10623,3420,11968,4614,11216,11315,11551,11554,3533,3324,10527,10856,3325,3585,3243,3346,11632,4197,4057,11236,11367,11426,4633,11139,11380,11489,11515,11559,11565,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,3788,4468,4469,4583,3725,3937,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,3875,11872,3413,3508,11701,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,4621,11744,11775,11812,11819,11852,3862,3633,4005,3458,3459,3432,4606,4580,3617,4622,4190,11512,3747,3469,11989,11992,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,4159,4118,4066,10874,4113,11239,3789,11823,12151,12298,4147,3806,10589,10686,11242,11320,11399,11463,12319,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,3431,12407,3504,12352,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,3489,10853,10886,10895,10898,10901,3529,3522,3941,3880,10506,11875,11903,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,3450,10889,11042,11112,11904,12053,3904,4238,4610,3915,3949,4597,4600,3406,3410,4599,4598,3737,4332,4627,10752,10755,4632,11225,11228,11414,11525,11542,4023,11585,11924,3870,11155,11161,11179,12173,12303,3721,11295,11417,3872,10892,11258,11423,11457,3581,3690,10805,10808,10904,11068,4630,11869,4631,10645,4293,4201,3903,3848,4628,10479,10482,10847,10850,11741,4629,11849,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500,6513,6534,6540,6542,6557,6558,6562,6564,6565,6566,6568,6570,6571,6572,6579,6585,6586,6588,6589,6595,6597,6639,6645,6660,6664,6665,6666,6700,6705,6707,6712,6713,6723,6727,6741,6764,6765,6767,6768,6779,6784,6804,6807,6829,6849,6862,6863,6864,6870,6884,6903,6905,6907,6909,6914,6920,6922,6936,6941,6942,6979,6980,6981,6998,6999,7001,7002,7022,7024,7039,7067,7090,7101,7103,7105,7107,7108,7139,7140,7141,7145,7146,7154,7156,7157,7158,7180,7189,7190,7201,7211,7251,7261,7267,7274,7285,7290,7292,7299,7319,7336,7357,7359,7378,7433,7434,7435,7437,7439,7443,7444,7449,7513,7541,7556,7571,7602,7606,7629,7654,7672,7675,7676,7686,7706,7708,7710,7712,7713,7714,7715,7716,7741,7767])).
% 190.85/190.74 cnf(12420,plain,
% 190.85/190.74 (P1(f836(f836(f318(f906(x124201,a895)),x124202),f836(f298(x124201),x124202)))),
% 190.85/190.74 inference(rename_variables,[],[3789])).
% 190.85/190.74 cnf(12426,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a1),f836(f836(f74(a1),a77),a77)),f2(a1)))),
% 190.85/190.74 inference(scs_inference,[],[3664,11310,4591,4592,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,3632,3350,4578,10626,10726,11190,3040,3042,3043,3047,3048,3051,3053,3054,3056,3057,3058,3066,3076,3080,3095,3102,3105,3108,3109,3111,3120,3137,3165,3166,3180,3185,3186,3188,3192,3193,3198,3199,3201,3211,3226,4570,3987,11886,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,3367,3376,3882,4183,3265,3626,3973,11642,3329,3261,3289,3284,3270,3894,3485,11037,3360,4055,4585,10457,10623,3420,11968,4614,11216,11315,11551,11554,3533,3324,10527,10856,3325,3585,3243,3346,11632,4197,4057,11236,11367,11426,4633,11139,11380,11489,11515,11559,11565,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,3788,4468,4469,4583,3725,3937,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,3875,11872,3413,3508,11701,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,4621,11744,11775,11812,11819,11852,3862,3633,4005,3458,3459,3432,4606,4580,3617,4622,4190,11512,3747,3469,11989,11992,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,4159,4118,4066,10874,4113,11239,3789,11823,12151,12298,12368,4147,3806,10589,10686,11242,11320,11399,11463,12319,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,3431,12407,3504,12352,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,3489,10853,10886,10895,10898,10901,3529,3522,3941,3880,10506,11875,11903,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,3450,10889,11042,11112,11904,12053,3904,4238,4610,3915,3949,4597,4600,3406,3410,4599,4598,3737,4332,4627,10752,10755,4632,11225,11228,11414,11525,11542,4023,11585,11924,3870,11155,11161,11179,12173,12303,3721,11295,11417,3872,10892,11258,11423,11457,3581,3690,10805,10808,10904,11068,4630,11869,4631,10645,4293,4201,3903,3848,4628,10479,10482,10847,10850,11741,4629,11849,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500,6513,6534,6540,6542,6557,6558,6562,6564,6565,6566,6568,6570,6571,6572,6579,6585,6586,6588,6589,6595,6597,6639,6645,6660,6664,6665,6666,6700,6705,6707,6712,6713,6723,6727,6741,6764,6765,6767,6768,6779,6784,6804,6807,6829,6849,6862,6863,6864,6870,6884,6903,6905,6907,6909,6914,6920,6922,6936,6941,6942,6979,6980,6981,6998,6999,7001,7002,7022,7024,7039,7067,7090,7101,7103,7105,7107,7108,7139,7140,7141,7145,7146,7154,7156,7157,7158,7180,7189,7190,7201,7211,7251,7261,7267,7274,7285,7290,7292,7299,7319,7336,7357,7359,7378,7433,7434,7435,7437,7439,7443,7444,7449,7513,7541,7556,7571,7602,7606,7629,7654,7672,7675,7676,7686,7706,7708,7710,7712,7713,7714,7715,7716,7741,7767,7768,7800,7802,7803,7804])).
% 190.85/190.74 cnf(12429,plain,
% 190.85/190.74 (~E(f836(a102,x124291),x124291)),
% 190.85/190.74 inference(rename_variables,[],[4572])).
% 190.85/190.74 cnf(12430,plain,
% 190.85/190.74 (E(f836(f300(x124301,x124301,f5(x124301)),x124302),x124302)),
% 190.85/190.74 inference(rename_variables,[],[3485])).
% 190.85/190.74 cnf(12433,plain,
% 190.85/190.74 (P31(x124331,x124332,f103(x124331),f103(x124331))),
% 190.85/190.74 inference(rename_variables,[],[3674])).
% 190.85/190.74 cnf(12436,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x124361,a895)),f836(f162(x124361),f166(x124361,x124362,x124363))),f836(f162(x124361),x124362)))),
% 190.85/190.74 inference(rename_variables,[],[4113])).
% 190.85/190.74 cnf(12437,plain,
% 190.85/190.74 (P1(f836(f29(x124371),f836(f162(x124371),x124372)))),
% 190.85/190.74 inference(rename_variables,[],[3469])).
% 190.85/190.74 cnf(12448,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x124481),x124481))),
% 190.85/190.74 inference(rename_variables,[],[4605])).
% 190.85/190.74 cnf(12451,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x124511),x124511))),
% 190.85/190.74 inference(rename_variables,[],[4605])).
% 190.85/190.74 cnf(12456,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),f2(a899)),x124561))),
% 190.85/190.74 inference(rename_variables,[],[3450])).
% 190.85/190.74 cnf(12463,plain,
% 190.85/190.74 (P13(a899,f836(f158(a899),f836(f836(f144(f900(x124631),a899),f179(f900(x124631))),f169(x124631,x124632))))),
% 190.85/190.74 inference(rename_variables,[],[3983])).
% 190.85/190.74 cnf(12466,plain,
% 190.85/190.74 (P24(x124661,x124661,f5(x124661),x124662)),
% 190.85/190.74 inference(rename_variables,[],[3664])).
% 190.85/190.74 cnf(12469,plain,
% 190.85/190.74 (P24(x124691,x124691,f5(x124691),x124692)),
% 190.85/190.74 inference(rename_variables,[],[3664])).
% 190.85/190.74 cnf(12472,plain,
% 190.85/190.74 (P1(f836(f836(f318(f900(x124721)),f103(x124721)),f151(x124721,x124722)))),
% 190.85/190.74 inference(rename_variables,[],[3624])).
% 190.85/190.74 cnf(12475,plain,
% 190.85/190.74 (~P1(f836(f836(f178(f906(x124751,f906(x124752,a895))),x124753),x124754))),
% 190.85/190.74 inference(rename_variables,[],[4631])).
% 190.85/190.74 cnf(12480,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),x124801),x124801))),
% 190.85/190.74 inference(rename_variables,[],[3429])).
% 190.85/190.74 cnf(12481,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),f2(a899)),x124811))),
% 190.85/190.74 inference(rename_variables,[],[3450])).
% 190.85/190.74 cnf(12483,plain,
% 190.85/190.74 (P1(f836(f836(f224(a1),f2(a1)),f855(x124831,f178(f906(x124832,f906(x124833,a895))),f72(a1))))),
% 190.85/190.74 inference(scs_inference,[],[3664,11310,12363,12466,3674,4591,4592,4590,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,3632,3350,4578,10626,10726,11190,3040,3042,3043,3047,3048,3051,3053,3054,3056,3057,3058,3066,3076,3080,3095,3102,3105,3108,3109,3111,3120,3137,3165,3166,3180,3185,3186,3188,3192,3193,3198,3199,3201,3211,3226,4570,3987,11886,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,3367,3376,3882,4183,3265,3626,3973,11642,3329,3261,3289,3284,3270,3894,3309,3485,11037,11164,3360,4055,4585,10457,10623,3420,11968,4614,11216,11315,11551,11554,3533,3324,10527,10856,3325,3585,3243,3346,11632,4197,4057,11236,11367,11426,4633,11139,11380,11489,11515,11559,11565,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,3788,4468,4469,4583,3725,3937,3983,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,3875,11872,3413,3508,11701,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,4621,11744,11775,11812,11819,11852,3862,3633,4005,3458,3459,3432,4606,4580,3617,4622,4190,11512,3747,3469,11989,11992,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,4159,4118,4066,10874,4113,11239,12360,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,3431,12407,3504,12352,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,3489,10853,10886,10895,10898,10901,3529,3522,3941,3880,10506,11875,11903,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,3450,10889,11042,11112,11904,12053,12251,12456,3904,4238,4610,3915,3949,4597,4600,3406,3410,4599,4598,3737,4332,4627,10752,10755,4632,11225,11228,11414,11525,11542,4023,11585,11924,3870,11155,11161,11179,12173,12303,3721,11295,11417,3872,10892,11258,11423,11457,3581,3690,10805,10808,10904,11068,4630,11869,4631,10645,10758,12475,4293,4201,3903,3848,4628,10479,10482,10847,10850,11741,4629,11849,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,96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% 190.85/190.74 cnf(12484,plain,
% 190.85/190.74 (~P1(f836(f836(f178(f906(x124841,f906(x124842,a895))),x124843),x124844))),
% 190.85/190.74 inference(rename_variables,[],[4631])).
% 190.85/190.74 cnf(12487,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(f905(f900(x124871),f900(x124871)),a895)),f148(x124871,x124872)),f297(f900(x124871),f147(x124871,x124872))))),
% 190.85/190.74 inference(rename_variables,[],[4118])).
% 190.85/190.74 cnf(12493,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x124931,a895)),f836(f300(x124932,x124931,x124933),f836(f301(x124932,x124931,x124933),x124934))),x124934))),
% 190.85/190.74 inference(rename_variables,[],[4293])).
% 190.85/190.74 cnf(12496,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x124961,a895)),f836(f162(x124961),f166(x124961,x124962,x124963))),f836(f162(x124961),x124962)))),
% 190.85/190.74 inference(rename_variables,[],[4113])).
% 190.85/190.74 cnf(12497,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x124971,a895)),f836(f162(x124971),f836(f126(x124971,x124972),x124973))),f836(f162(x124971),x124973)))),
% 190.85/190.74 inference(rename_variables,[],[4066])).
% 190.85/190.74 cnf(12500,plain,
% 190.85/190.74 (~P1(f836(f836(f225(f906(x125001,a895)),x125002),f178(f906(x125001,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4625])).
% 190.85/190.74 cnf(12508,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x125081,a895)),f836(f300(x125082,x125081,x125083),f836(f301(x125082,x125081,x125083),x125084))),x125084))),
% 190.85/190.74 inference(rename_variables,[],[4293])).
% 190.85/190.74 cnf(12513,plain,
% 190.85/190.74 (P1(f836(f836(f318(f900(x125131)),f103(x125131)),f151(x125131,x125132)))),
% 190.85/190.74 inference(rename_variables,[],[3624])).
% 190.85/190.74 cnf(12516,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(f900(x125161),f900(x125161))),f836(f836(f242(f900(x125161),f900(x125161)),x125162),f103(x125161))),f135(x125161,x125163)))),
% 190.85/190.74 inference(rename_variables,[],[4633])).
% 190.85/190.74 cnf(12519,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x125191),f2(a899)))),
% 190.85/190.74 inference(rename_variables,[],[4609])).
% 190.85/190.74 cnf(12521,plain,
% 190.85/190.74 (~P1(f836(f29(x125211),f232(f906(x125211,a895))))),
% 190.85/190.74 inference(scs_inference,[],[3664,11310,12363,12466,3674,3681,3400,4591,4592,3299,3302,4590,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,3632,3350,4578,10626,10726,11190,3040,3042,3043,3047,3048,3051,3053,3054,3056,3057,3058,3066,3076,3080,3083,3095,3102,3105,3108,3109,3111,3120,3137,3165,3166,3180,3185,3186,3188,3192,3193,3198,3199,3201,3211,3226,4570,3987,11886,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,3367,3376,3882,4183,3265,3626,3973,11642,3329,3261,3289,3284,3270,3894,3309,3485,11037,11164,3360,4055,4585,10457,10623,3420,11968,4614,11216,11315,11551,11554,3533,3324,10527,10856,3325,3585,3243,3346,11632,4197,4057,11236,11367,11426,4633,11139,11380,11489,11515,11559,11565,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,12472,12513,3788,4468,4469,4583,3725,3937,3983,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,3875,11872,3413,3508,11701,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,4621,11744,11775,11812,11819,11852,3862,3633,4005,3458,3459,3432,4606,4580,3617,4622,4190,11512,3747,3469,11989,11992,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,4159,4118,12141,12487,4066,10874,4113,11239,12360,12436,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,3431,12407,3504,12352,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,3489,10853,10886,10895,10898,10901,3529,3522,3941,3880,10506,11875,11903,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,3450,10889,11042,11112,11904,12053,12251,12456,3904,4238,4610,3915,3949,4597,4600,3406,3410,4599,4598,3737,4332,4627,10752,10755,4632,11225,11228,11414,11525,11542,4023,11585,11924,3870,11155,11161,11179,12173,12303,3721,11295,11417,12413,3872,10892,11258,11423,11457,3581,3690,10805,10808,10904,11068,4630,11869,4631,10645,10758,12475,4293,11028,12493,4201,3903,3848,4628,10479,10482,10847,10850,11741,4629,11849,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500,6513,6534,6540,6542,6557,6558,6562,6564,6565,6566,6568,6570,6571,6572,6579,6585,6586,6588,6589,6595,6597,6639,6645,6660,6664,6665,6666,6700,6705,6707,6712,6713,6723,6727,6741,6764,6765,6767,6768,6779,6784,6804,6807,6829,6849,6862,6863,6864,6870,6884,6903,6905,6907,6909,6914,6920,6922,6936,6941,6942,6979,6980,6981,6998,6999,7001,7002,7022,7024,7039,7067,7090,7101,7103,7105,7107,7108,7139,7140,7141,7145,7146,7154,7156,7157,7158,7180,7189,7190,7201,7211,7251,7261,7267,7274,7285,7290,7292,7299,7319,7336,7357,7359,7378,7433,7434,7435,7437,7439,7443,7444,7449,7513,7541,7556,7571,7602,7606,7629,7654,7672,7675,7676,7686,7706,7708,7710,7712,7713,7714,7715,7716,7741,7767,7768,7800,7802,7803,7804,7810,7831,7848,7853,7859,7861,7869,7882,7883,7885,7906,7913,7934,8002,8003,8004,8052,8058,8059,8082,8083,8100,8101,8102,8159,8160,8189,8219,8228,8242,8257,8286,8290,8296])).
% 190.85/190.74 cnf(12522,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x125221,a895)),x125222),x125222))),
% 190.85/190.74 inference(rename_variables,[],[3721])).
% 190.85/190.74 cnf(12525,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x125251),x125252),f178(f906(x125251,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(12528,plain,
% 190.85/190.74 (~P1(f836(f836(f178(f906(x125281,f906(x125282,a895))),x125283),x125284))),
% 190.85/190.74 inference(rename_variables,[],[4631])).
% 190.85/190.74 cnf(12531,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x125311,a895)),x125312),x125312))),
% 190.85/190.74 inference(rename_variables,[],[3721])).
% 190.85/190.74 cnf(12536,plain,
% 190.85/190.74 (E(f836(f274(x125361,x125361),f253(x125361,x125362)),x125362)),
% 190.85/190.74 inference(rename_variables,[],[3390])).
% 190.85/190.74 cnf(12539,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x125391,a895)),f836(f162(x125391),f166(x125391,x125392,x125393))),f836(f162(x125391),x125392)))),
% 190.85/190.74 inference(rename_variables,[],[4113])).
% 190.85/190.74 cnf(12540,plain,
% 190.85/190.74 (P1(f836(f29(x125401),f836(f162(x125401),x125402)))),
% 190.85/190.74 inference(rename_variables,[],[3469])).
% 190.85/190.74 cnf(12543,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),x125431),x125431))),
% 190.85/190.74 inference(rename_variables,[],[3429])).
% 190.85/190.74 cnf(12546,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x125461),x125461))),
% 190.85/190.74 inference(rename_variables,[],[4605])).
% 190.85/190.74 cnf(12549,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x125491),x125491))),
% 190.85/190.74 inference(rename_variables,[],[4605])).
% 190.85/190.74 cnf(12560,plain,
% 190.85/190.74 (P24(x125601,x125601,f5(x125601),x125602)),
% 190.85/190.74 inference(rename_variables,[],[3664])).
% 190.85/190.74 cnf(12568,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x125681),x125682),f178(f906(x125681,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(12571,plain,
% 190.85/190.74 (P1(f836(f836(f318(f905(x125711,x125711)),f836(f836(f242(x125711,x125711),x125712),x125712)),f297(x125711,x125713)))),
% 190.85/190.74 inference(rename_variables,[],[4057])).
% 190.85/190.74 cnf(12574,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x125741),x125742),f178(f906(x125741,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(12577,plain,
% 190.85/190.74 (P1(f836(f836(f318(f905(x125771,x125771)),f836(f836(f242(x125771,x125771),x125772),x125772)),f297(x125771,x125773)))),
% 190.85/190.74 inference(rename_variables,[],[4057])).
% 190.85/190.74 cnf(12587,plain,
% 190.85/190.74 (~E(f836(f836(f141(x125871),x125872),x125873),x125873)),
% 190.85/190.74 inference(rename_variables,[],[4585])).
% 190.85/190.74 cnf(12589,plain,
% 190.85/190.74 (~P25(a899,a899,x125891,f232(f906(a899,a895)),f296(a899,x125892,x125893))),
% 190.85/190.74 inference(scs_inference,[],[3664,11310,12363,12466,12469,3674,3681,3400,4591,4592,3299,3302,4590,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,3632,12124,3350,4578,10626,10726,11190,3040,3042,3043,3047,3048,3051,3053,3054,3056,3057,3058,3066,3076,3080,3083,3095,3102,3105,3108,3109,3111,3116,3120,3137,3165,3166,3180,3185,3186,3188,3192,3193,3198,3199,3201,3211,3226,4570,3987,11886,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,12335,3367,3376,3882,4183,3265,3626,3973,11642,3329,3261,3289,3742,3284,3270,3894,3309,3485,11037,11164,3360,4055,4585,10457,10623,11495,3420,11968,4614,11216,11315,11551,11554,3533,4594,3324,10527,10856,3325,3585,3243,3346,11632,4197,4057,11236,11367,11426,12571,4633,11139,11380,11489,11515,11559,11565,12516,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,12472,12513,3788,3573,4468,4469,4583,11625,3725,3937,3983,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,12404,3875,11872,3413,3508,11701,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,12519,4621,11744,11775,11812,11819,11852,3862,3633,4005,3458,3459,3432,4606,4580,3617,4622,4190,11512,3747,3469,11989,11992,12437,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,4159,4118,12141,12487,4066,10874,4113,11239,12360,12436,12496,12539,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,12382,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,12480,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,3431,12407,3504,12352,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,12451,12546,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,12378,12525,12568,3489,10853,10886,10895,10898,10901,3529,3522,3941,3880,10506,11875,11903,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,3450,10889,11042,11112,11904,12053,12251,12456,3904,4238,4610,3915,3949,4597,4600,3406,3410,4599,4598,3737,4332,4627,10752,10755,4632,11225,11228,11414,11525,11542,11588,4023,11585,11924,3870,11155,11161,11179,12173,12303,3721,11295,11417,12413,12522,3872,10892,11258,11423,11457,3581,3690,10805,10808,10904,11068,4630,11869,3667,4631,10645,10758,12475,12484,4293,11028,12493,4201,3903,3848,4628,10479,10482,10847,10850,11741,4629,11849,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,89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% 190.85/190.74 cnf(12594,plain,
% 190.85/190.74 (P1(f836(f836(f318(x125941),x125942),f232(f906(x125941,a895))))),
% 190.85/190.74 inference(rename_variables,[],[3580])).
% 190.85/190.74 cnf(12595,plain,
% 190.85/190.74 (~E(f836(a102,x125951),x125951)),
% 190.85/190.74 inference(rename_variables,[],[4572])).
% 190.85/190.74 cnf(12598,plain,
% 190.85/190.74 (P1(f836(f836(f318(f900(x125981)),f103(x125981)),f151(x125981,x125982)))),
% 190.85/190.74 inference(rename_variables,[],[3624])).
% 190.85/190.74 cnf(12599,plain,
% 190.85/190.74 (~E(f836(f836(f141(x125991),x125992),x125993),f103(x125991))),
% 190.85/190.74 inference(rename_variables,[],[4588])).
% 190.85/190.74 cnf(12602,plain,
% 190.85/190.74 (P24(x126021,x126021,f5(x126021),x126022)),
% 190.85/190.74 inference(rename_variables,[],[3664])).
% 190.85/190.74 cnf(12605,plain,
% 190.85/190.74 (P1(f836(f836(f318(x126051),f836(x126052,x126053)),f836(f300(x126054,x126051,x126052),f232(f906(x126054,a895)))))),
% 190.85/190.74 inference(rename_variables,[],[4023])).
% 190.85/190.74 cnf(12606,plain,
% 190.85/190.74 (P24(x126061,x126061,f5(x126061),x126062)),
% 190.85/190.74 inference(rename_variables,[],[3664])).
% 190.85/190.74 cnf(12609,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x126091,a895)),f178(f906(x126091,a895))),x126092))),
% 190.85/190.74 inference(rename_variables,[],[3872])).
% 190.85/190.74 cnf(12610,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x126101,a895)),x126102),x126102))),
% 190.85/190.74 inference(rename_variables,[],[3721])).
% 190.85/190.74 cnf(12613,plain,
% 190.85/190.74 (P1(f836(f836(f318(x126131),f836(x126132,x126133)),f836(f300(x126134,x126131,x126132),f232(f906(x126134,a895)))))),
% 190.85/190.74 inference(rename_variables,[],[4023])).
% 190.85/190.74 cnf(12614,plain,
% 190.85/190.74 (P24(x126141,x126141,f5(x126141),x126142)),
% 190.85/190.74 inference(rename_variables,[],[3664])).
% 190.85/190.74 cnf(12617,plain,
% 190.85/190.74 (P1(f836(f836(f318(f905(f900(x126171),f900(x126171))),f836(f836(f242(f900(x126171),f900(x126171)),f103(x126171)),f103(x126171))),f148(x126171,x126172)))),
% 190.85/190.74 inference(rename_variables,[],[4197])).
% 190.85/190.74 cnf(12621,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x126211),f2(a899)))),
% 190.85/190.74 inference(rename_variables,[],[4609])).
% 190.85/190.74 cnf(12627,plain,
% 190.85/190.74 (E(f836(f836(f124(x126271),x126272),f103(x126271)),x126272)),
% 190.85/190.74 inference(rename_variables,[],[3361])).
% 190.85/190.74 cnf(12628,plain,
% 190.85/190.74 (~E(f836(f836(f141(x126281),x126282),x126283),x126283)),
% 190.85/190.74 inference(rename_variables,[],[4585])).
% 190.85/190.74 cnf(12631,plain,
% 190.85/190.74 (E(f836(f836(f124(x126311),x126312),f103(x126311)),x126312)),
% 190.85/190.74 inference(rename_variables,[],[3361])).
% 190.85/190.74 cnf(12632,plain,
% 190.85/190.74 (~E(f836(f836(f141(x126321),x126322),x126323),x126323)),
% 190.85/190.74 inference(rename_variables,[],[4585])).
% 190.85/190.74 cnf(12635,plain,
% 190.85/190.74 (E(f836(f836(f124(x126351),x126352),f103(x126351)),x126352)),
% 190.85/190.74 inference(rename_variables,[],[3361])).
% 190.85/190.74 cnf(12642,plain,
% 190.85/190.74 (P51(x126421,f253(x126421,x126422))),
% 190.85/190.74 inference(rename_variables,[],[3303])).
% 190.85/190.74 cnf(12645,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x126451,a895)),f836(f162(x126451),f836(f126(x126451,x126452),x126453))),f836(f162(x126451),x126453)))),
% 190.85/190.74 inference(rename_variables,[],[4066])).
% 190.85/190.74 cnf(12646,plain,
% 190.85/190.74 (E(f836(f300(x126461,x126461,f5(x126461)),x126462),x126462)),
% 190.85/190.74 inference(rename_variables,[],[3485])).
% 190.85/190.74 cnf(12651,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x126511,a895)),x126512),f232(f906(x126511,a895))))),
% 190.85/190.74 inference(rename_variables,[],[3806])).
% 190.85/190.74 cnf(12655,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x126551),x126551))),
% 190.85/190.74 inference(rename_variables,[],[4605])).
% 190.85/190.74 cnf(12656,plain,
% 190.85/190.74 (~E(f836(a102,x126561),x126561)),
% 190.85/190.74 inference(rename_variables,[],[4572])).
% 190.85/190.74 cnf(12659,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x126591,a895)),f178(f906(x126591,a895))),x126592))),
% 190.85/190.74 inference(rename_variables,[],[3872])).
% 190.85/190.74 cnf(12662,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),x126621),x126621))),
% 190.85/190.74 inference(rename_variables,[],[3429])).
% 190.85/190.74 cnf(12665,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x126651,a895)),x126652),x126652))),
% 190.85/190.74 inference(rename_variables,[],[3721])).
% 190.85/190.74 cnf(12670,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x126701,a895)),x126702),f836(f836(f299(x126701),x126703),x126702)))),
% 190.85/190.74 inference(rename_variables,[],[3870])).
% 190.85/190.74 cnf(12673,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x126731,a895)),x126732),x126732))),
% 190.85/190.74 inference(rename_variables,[],[3721])).
% 190.85/190.74 cnf(12674,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x126741),x126742),f178(f906(x126741,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(12677,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x126771),x126772),f178(f906(x126771,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(12685,plain,
% 190.85/190.74 (~P1(f836(f836(f224(f906(f905(x126851,x126851),a895)),f836(f300(f905(x126851,x126851),f905(x126851,x126851),f5(f905(x126851,x126851))),f232(f906(f905(x126851,x126851),a895)))),f836(f300(f905(x126851,x126851),f905(x126851,x126851),f5(f905(x126851,x126851))),f178(f906(f905(x126851,x126851),a895)))))),
% 190.85/190.74 inference(scs_inference,[],[3664,11310,12363,12466,12469,12560,12602,12606,12614,3674,3681,3400,4591,4592,3299,3302,3303,4590,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,12429,12595,3484,3632,12124,3350,4578,10626,10726,11190,3040,3042,3043,3047,3048,3051,3053,3054,3056,3057,3058,3066,3076,3080,3083,3095,3102,3105,3108,3109,3111,3116,3120,3137,3165,3166,3180,3185,3186,3188,3192,3193,3198,3199,3201,3211,3226,4570,3987,11886,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,12335,3361,12627,12631,3367,3376,3882,4183,3265,3626,3973,11642,3329,3261,3289,3742,3284,3270,3894,3309,3485,11037,11164,12430,12646,3360,4055,4585,10457,10623,11495,12587,12628,4588,12599,3420,11968,4614,11216,11315,11551,11554,3533,4594,3324,10527,10856,3325,3585,3243,3346,11632,4197,12617,4057,11236,11367,11426,12571,12577,4633,11139,11380,11489,11515,11559,11565,12516,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,12472,12513,12598,3788,3573,4468,4469,4583,11625,3725,3937,3983,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,12404,3875,11872,3413,3508,11701,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,12519,4621,11744,11775,11812,11819,11852,3862,3633,4005,3458,3459,3432,4606,4580,3814,3617,4622,4190,11512,3747,3469,11989,11992,12437,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,12060,4159,4118,12141,12487,4066,10874,12497,4113,11239,12360,12436,12496,12539,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,12382,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,12480,12543,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,3431,12407,3504,12352,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,12451,12546,12549,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,12378,12525,12568,12574,12674,3489,10853,10886,10895,10898,10901,3529,3522,3941,3880,10506,11875,11903,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,3450,10889,11042,11112,11904,12053,12251,12456,3904,4238,4610,3915,3949,4597,4600,3406,3410,4599,4598,3737,4332,4627,10752,10755,4632,11225,11228,11414,11525,11542,11588,4023,11585,11924,11928,12605,3870,11155,11161,11179,12173,12303,12381,3721,11295,11417,12413,12522,12531,12610,12665,3872,10892,11258,11423,11457,11468,12609,3581,3690,10805,10808,10904,11068,4630,11869,3667,4631,10645,10758,12475,12484,4293,11028,12493,4201,3903,3848,4628,10479,10482,10847,10850,11741,4629,11849,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,86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% 190.85/190.74 cnf(12686,plain,
% 190.85/190.74 (P24(x126861,x126861,f5(x126861),x126862)),
% 190.85/190.74 inference(rename_variables,[],[3664])).
% 190.85/190.74 cnf(12689,plain,
% 190.85/190.74 (E(f836(f179(f900(x126891)),f159(x126891,x126892,x126893)),x126892)),
% 190.85/190.74 inference(rename_variables,[],[3495])).
% 190.85/190.74 cnf(12692,plain,
% 190.85/190.74 (P25(x126921,x126921,f25(x126921),x126922,x126922)),
% 190.85/190.74 inference(rename_variables,[],[4081])).
% 190.85/190.74 cnf(12695,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x126951),x126951))),
% 190.85/190.74 inference(rename_variables,[],[4605])).
% 190.85/190.74 cnf(12696,plain,
% 190.85/190.74 (P1(f836(f232(f906(x126961,a895)),x126962))),
% 190.85/190.74 inference(rename_variables,[],[3489])).
% 190.85/190.74 cnf(12699,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x126991),x126992),f178(f906(x126991,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(12702,plain,
% 190.85/190.74 (P1(f836(f836(f318(x127021),f836(x127022,x127023)),f836(f300(x127024,x127021,x127022),f232(f906(x127024,a895)))))),
% 190.85/190.74 inference(rename_variables,[],[4023])).
% 190.85/190.74 cnf(12703,plain,
% 190.85/190.74 (P1(f836(f836(f318(f905(x127031,x127031)),f836(f836(f242(x127031,x127031),x127032),x127032)),f297(x127031,x127033)))),
% 190.85/190.74 inference(rename_variables,[],[4057])).
% 190.85/190.74 cnf(12706,plain,
% 190.85/190.74 (P1(f836(f836(f318(f905(x127061,x127061)),f836(f836(f242(x127061,x127061),x127062),x127062)),f297(x127061,x127063)))),
% 190.85/190.74 inference(rename_variables,[],[4057])).
% 190.85/190.74 cnf(12709,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),x127091),x127091))),
% 190.85/190.74 inference(rename_variables,[],[3429])).
% 190.85/190.74 cnf(12710,plain,
% 190.85/190.74 (P1(f836(f232(f906(x127101,a895)),x127102))),
% 190.85/190.74 inference(rename_variables,[],[3489])).
% 190.85/190.74 cnf(12713,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x127131,a895)),x127132),f232(f906(x127131,a895))))),
% 190.85/190.74 inference(rename_variables,[],[3806])).
% 190.85/190.74 cnf(12714,plain,
% 190.85/190.74 (P25(x127141,x127141,f25(x127141),x127142,x127142)),
% 190.85/190.74 inference(rename_variables,[],[4081])).
% 190.85/190.74 cnf(12717,plain,
% 190.85/190.74 (P1(f836(f29(x127171),f836(f162(x127171),x127172)))),
% 190.85/190.74 inference(rename_variables,[],[3469])).
% 190.85/190.74 cnf(12722,plain,
% 190.85/190.74 (P1(f836(f836(f318(f905(f900(x127221),f900(x127221))),f836(f836(f242(f900(x127221),f900(x127221)),f103(x127221)),f103(x127221))),f836(f836(f279(f900(x127221),f900(x127221),f900(x127221)),f148(x127221,x127222)),f148(x127221,x127222))))),
% 190.85/190.74 inference(scs_inference,[],[4081,12692,3664,11310,12363,12466,12469,12560,12602,12606,12614,3674,3681,3400,4591,4592,3299,3302,3303,4590,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,12429,12595,3484,3632,12124,3350,4578,10626,10726,11190,3040,3042,3043,3047,3048,3051,3053,3054,3056,3057,3058,3066,3076,3080,3083,3095,3102,3105,3108,3109,3111,3116,3120,3137,3165,3166,3180,3185,3186,3188,3192,3193,3198,3199,3201,3211,3226,4570,3987,11886,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,12335,3361,12627,12631,12635,3367,3376,3882,4183,3495,3265,3626,3973,11642,3329,3261,3289,3742,3284,3270,3894,3309,3485,11037,11164,12430,12646,3360,4055,4585,10457,10623,11495,12587,12628,4588,12599,3420,11968,4614,11216,11315,11551,11554,3533,4594,3324,10527,10856,3325,3585,3243,3346,11632,4197,12617,4057,11236,11367,11426,12571,12577,12703,4633,11139,11380,11489,11515,11559,11565,12516,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,12472,12513,12598,3788,3573,4468,4469,4583,11625,3725,3937,3983,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,12404,3875,11872,3413,3508,11701,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,12519,4621,11744,11775,11812,11819,11852,3862,3633,4005,3458,3459,3432,4606,4580,3814,3617,4622,4190,11512,3747,3469,11989,11992,12437,12540,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,12060,4159,4118,12141,12487,4066,10874,12497,4113,11239,12360,12436,12496,12539,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,12382,12651,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,12480,12543,12662,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,3431,12407,3504,12352,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,12451,12546,12549,12655,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,12378,12525,12568,12574,12674,12677,3489,10853,10886,10895,10898,10901,11481,12696,3529,3522,3941,3880,10506,11875,11903,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,3450,10889,11042,11112,11904,12053,12251,12456,3904,4238,4610,3915,3949,4597,4600,3406,3410,4599,4598,3737,4332,4627,10752,10755,4632,11225,11228,11414,11525,11542,11588,4023,11585,11924,11928,12605,12613,3870,11155,11161,11179,12173,12303,12381,3721,11295,11417,12413,12522,12531,12610,12665,3872,10892,11258,11423,11457,11468,12609,3581,3690,10805,10808,10904,11068,4630,11869,3667,4631,10645,10758,12475,12484,4293,11028,12493,4201,3903,3848,4628,10479,10482,10847,10850,11741,4629,11849,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500,6513,6534,6540,6542,6557,6558,6562,6564,6565,6566,6568,6570,6571,6572,6579,6585,6586,6588,6589,6595,6597,6639,6645,6660,6664,6665,6666,6700,6705,6707,6712,6713,6723,6727,6741,6764,6765,6767,6768,6779,6784,6804,6807,6829,6849,6862,6863,6864,6870,6884,6903,6905,6907,6909,6914,6920,6922,6936,6941,6942,6979,6980,6981,6998,6999,7001,7002,7022,7024,7039,7067,7090,7101,7103,7105,7107,7108,7139,7140,7141,7145,7146,7154,7156,7157,7158,7180,7189,7190,7201,7211,7251,7261,7267,7274,7285,7290,7292,7299,7319,7336,7357,7359,7378,7433,7434,7435,7437,7439,7443,7444,7449,7513,7541,7556,7571,7602,7606,7629,7654,7672,7675,7676,7686,7706,7708,7710,7712,7713,7714,7715,7716,7741,7767,7768,7800,7802,7803,7804,7810,7831,7848,7853,7859,7861,7869,7882,7883,7885,7906,7913,7934,8002,8003,8004,8052,8058,8059,8082,8083,8100,8101,8102,8159,8160,8189,8219,8228,8242,8257,8286,8290,8296,8308,8326,8331,8354,8399,8428,8442,8462,8465,8491,8517,8575,8576,8579,8580,8649,8683,8684,8685,8686,8713,8745,8774,8782,8783,8824,8845,8890,8906,8952,8955,8970,8977,9019,9058,9059,9077,9078,9092,9210,9215,9219,9239,9250,9273,9275,9278,9284,9286,9287,9298,9299,9318,9326,9337,9345,9390,9408,9463,9464,9470,9509,9534,9539,9579])).
% 190.85/190.74 cnf(12724,plain,
% 190.85/190.74 (P1(f836(f836(f318(f905(x127241,x127241)),f836(f836(f242(x127241,x127241),x127242),x127242)),f836(f836(f279(x127241,x127241,x127241),f297(x127241,x127243)),f297(x127241,f297(x127241,x127243)))))),
% 190.85/190.74 inference(scs_inference,[],[4081,12692,3664,11310,12363,12466,12469,12560,12602,12606,12614,3674,3681,3400,4591,4592,3299,3302,3303,4590,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,12429,12595,3484,3632,12124,3350,4578,10626,10726,11190,3040,3042,3043,3047,3048,3051,3053,3054,3056,3057,3058,3066,3076,3080,3083,3095,3102,3105,3108,3109,3111,3116,3120,3137,3165,3166,3180,3185,3186,3188,3192,3193,3198,3199,3201,3211,3226,4570,3987,11886,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,12335,3361,12627,12631,12635,3367,3376,3882,4183,3495,3265,3626,3973,11642,3329,3261,3289,3742,3284,3270,3894,3309,3485,11037,11164,12430,12646,3360,4055,4585,10457,10623,11495,12587,12628,4588,12599,3420,11968,4614,11216,11315,11551,11554,3533,4594,3324,10527,10856,3325,3585,3243,3346,11632,4197,12617,4057,11236,11367,11426,12571,12577,12703,12706,4633,11139,11380,11489,11515,11559,11565,12516,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,12472,12513,12598,3788,3573,4468,4469,4583,11625,3725,3937,3983,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,12404,3875,11872,3413,3508,11701,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,12519,4621,11744,11775,11812,11819,11852,3862,3633,4005,3458,3459,3432,4606,4580,3814,3617,4622,4190,11512,3747,3469,11989,11992,12437,12540,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,12060,4159,4118,12141,12487,4066,10874,12497,4113,11239,12360,12436,12496,12539,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,12382,12651,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,12480,12543,12662,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,3431,12407,3504,12352,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,12451,12546,12549,12655,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,12378,12525,12568,12574,12674,12677,3489,10853,10886,10895,10898,10901,11481,12696,3529,3522,3941,3880,10506,11875,11903,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,3450,10889,11042,11112,11904,12053,12251,12456,3904,4238,4610,3915,3949,4597,4600,3406,3410,4599,4598,3737,4332,4627,10752,10755,4632,11225,11228,11414,11525,11542,11588,4023,11585,11924,11928,12605,12613,3870,11155,11161,11179,12173,12303,12381,3721,11295,11417,12413,12522,12531,12610,12665,3872,10892,11258,11423,11457,11468,12609,3581,3690,10805,10808,10904,11068,4630,11869,3667,4631,10645,10758,12475,12484,4293,11028,12493,4201,3903,3848,4628,10479,10482,10847,10850,11741,4629,11849,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,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% 190.85/190.74 cnf(12727,plain,
% 190.85/190.74 (~P1(f836(f836(f178(f906(x127271,f906(x127272,a895))),x127273),x127274))),
% 190.85/190.74 inference(rename_variables,[],[4631])).
% 190.85/190.74 cnf(12733,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x127331,a895)),x127332),f232(f906(x127331,a895))))),
% 190.85/190.74 inference(rename_variables,[],[3806])).
% 190.85/190.74 cnf(12736,plain,
% 190.85/190.74 (P1(f836(f836(f318(f905(x127361,x127361)),f836(f836(f242(x127361,x127361),x127362),x127362)),f297(x127361,x127363)))),
% 190.85/190.74 inference(rename_variables,[],[4057])).
% 190.85/190.74 cnf(12739,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),f836(f836(f74(a899),x127391),x127392)),x127392))),
% 190.85/190.74 inference(rename_variables,[],[4628])).
% 190.85/190.74 cnf(12740,plain,
% 190.85/190.74 (P1(f836(f836(f225(a899),x127401),f836(a102,x127401)))),
% 190.85/190.74 inference(rename_variables,[],[3496])).
% 190.85/190.74 cnf(12743,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x127431,a895)),x127432),f232(f906(x127431,a895))))),
% 190.85/190.74 inference(rename_variables,[],[3806])).
% 190.85/190.74 cnf(12746,plain,
% 190.85/190.74 (E(f836(f274(x127461,x127461),f253(x127461,x127462)),x127462)),
% 190.85/190.74 inference(rename_variables,[],[3390])).
% 190.85/190.74 cnf(12753,plain,
% 190.85/190.74 (P1(f836(f836(f318(f905(f905(f900(x127531),f900(x127531)),f905(f900(x127531),f900(x127531)))),f508(f297(f905(f900(x127531),f900(x127531)),x127532),f135(x127531,x127533),f905(f900(x127531),f900(x127531)))),f297(f905(f900(x127531),f900(x127531)),x127532)))),
% 190.85/190.74 inference(scs_inference,[],[4081,12692,3664,11310,12363,12466,12469,12560,12602,12606,12614,3674,3681,3400,4591,4592,3299,3302,3303,4590,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,12429,12595,3484,3632,12124,3350,4578,10626,10726,11190,3040,3042,3043,3047,3048,3051,3053,3054,3056,3057,3058,3066,3076,3080,3083,3095,3102,3105,3108,3109,3111,3116,3120,3137,3165,3166,3180,3185,3186,3188,3192,3193,3198,3199,3201,3211,3226,4570,3762,3987,11886,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,12335,12536,3361,12627,12631,12635,3367,3376,3882,4183,3495,3265,3626,3973,11642,3329,3261,3289,3742,3284,3270,3894,3309,3485,11037,11164,12430,12646,3360,4055,4585,10457,10623,11495,12587,12628,4588,12599,3420,11968,4614,11216,11315,11551,11554,3533,4594,3324,10527,10856,3325,3585,3243,3346,11632,4197,12617,4057,11236,11367,11426,12571,12577,12703,12706,12736,4633,11139,11380,11489,11515,11559,11565,12516,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,12472,12513,12598,3788,3573,4468,4469,4583,11625,3725,3937,3983,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,12404,3875,11872,3413,3508,11701,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,12519,4621,11744,11775,11812,11819,11852,3862,3633,4005,3458,3459,3432,4606,4580,3814,3617,4622,4190,11512,3747,3469,11989,11992,12437,12540,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,12060,4159,4118,12141,12487,4066,10874,12497,4113,11239,12360,12436,12496,12539,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,12382,12651,12713,12733,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,12480,12543,12662,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,3431,12407,3504,12352,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,12451,12546,12549,12655,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,12378,12525,12568,12574,12674,12677,3489,10853,10886,10895,10898,10901,11481,12696,3529,3522,3941,3880,10506,11875,11903,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,3450,10889,11042,11112,11904,12053,12251,12456,3904,4238,4610,3915,3949,4597,4600,3406,3410,4599,4598,3737,4332,4627,10752,10755,4632,11225,11228,11414,11525,11542,11588,4023,11585,11924,11928,12605,12613,3870,11155,11161,11179,12173,12303,12381,3721,11295,11417,12413,12522,12531,12610,12665,4195,3872,10892,11258,11423,11457,11468,12609,3581,3690,10805,10808,10904,11068,4630,11869,3667,4631,10645,10758,12475,12484,12528,12727,4293,11028,12493,4201,3903,3848,4628,10479,10482,10847,10850,11741,11929,4629,11849,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500,6513,6534,6540,6542,6557,6558,6562,6564,6565,6566,6568,6570,6571,6572,6579,6585,6586,6588,6589,6595,6597,6639,6645,6660,6664,6665,6666,6700,6705,6707,6712,6713,6723,6727,6741,6764,6765,6767,6768,6779,6784,6804,6807,6829,6849,6862,6863,6864,6870,6884,6903,6905,6907,6909,6914,6920,6922,6936,6941,6942,6979,6980,6981,6998,6999,7001,7002,7022,7024,7039,7067,7090,7101,7103,7105,7107,7108,7139,7140,7141,7145,7146,7154,7156,7157,7158,7180,7189,7190,7201,7211,7251,7261,7267,7274,7285,7290,7292,7299,7319,7336,7357,7359,7378,7433,7434,7435,7437,7439,7443,7444,7449,7513,7541,7556,7571,7602,7606,7629,7654,7672,7675,7676,7686,7706,7708,7710,7712,7713,7714,7715,7716,7741,7767,7768,7800,7802,7803,7804,7810,7831,7848,7853,7859,7861,7869,7882,7883,7885,7906,7913,7934,8002,8003,8004,8052,8058,8059,8082,8083,8100,8101,8102,8159,8160,8189,8219,8228,8242,8257,8286,8290,8296,8308,8326,8331,8354,8399,8428,8442,8462,8465,8491,8517,8575,8576,8579,8580,8649,8683,8684,8685,8686,8713,8745,8774,8782,8783,8824,8845,8890,8906,8952,8955,8970,8977,9019,9058,9059,9077,9078,9092,9210,9215,9219,9239,9250,9273,9275,9278,9284,9286,9287,9298,9299,9318,9326,9337,9345,9390,9408,9463,9464,9470,9509,9534,9539,9579,9593,9597,9598,9602,9603,9616,9639,9654,9663,9664,9666])).
% 190.85/190.74 cnf(12757,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x127571),x127572),f178(f906(x127571,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(12758,plain,
% 190.85/190.74 (P1(f836(f836(f318(f905(f900(x127581),f900(x127581))),f836(f836(f242(f900(x127581),f900(x127581)),f103(x127581)),f103(x127581))),f148(x127581,x127582)))),
% 190.85/190.74 inference(rename_variables,[],[4197])).
% 190.85/190.74 cnf(12760,plain,
% 190.85/190.74 (P1(f836(f836(f318(f905(a899,a899)),f836(f836(f242(a899,a899),f2(a899)),f836(a102,f2(a899)))),f836(f836(f279(a899,a899,a899),f297(a899,a307)),f297(a899,f297(a899,a307)))))),
% 190.85/190.74 inference(scs_inference,[],[4081,12692,3664,11310,12363,12466,12469,12560,12602,12606,12614,3674,3681,3400,4591,4592,3299,3302,3303,4590,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,12429,12595,3484,3632,12124,3350,4578,10626,10726,11190,3040,3042,3043,3047,3048,3051,3053,3054,3056,3057,3058,3066,3076,3080,3083,3095,3102,3105,3108,3109,3111,3116,3120,3137,3165,3166,3180,3185,3186,3188,3192,3193,3198,3199,3201,3211,3226,4570,3762,3987,11886,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,12335,12536,3361,12627,12631,12635,3367,3376,3882,4183,3495,3265,3626,3973,11642,3329,3261,3289,3742,3284,3270,3894,3309,3485,11037,11164,12430,12646,3360,4055,4585,10457,10623,11495,12587,12628,4588,12599,3420,11968,4614,11216,11315,11551,11554,3533,4594,3324,10527,10856,3325,3585,3243,3346,11632,4197,12617,4057,11236,11367,11426,12571,12577,12703,12706,12736,4633,11139,11380,11489,11515,11559,11565,12516,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,12472,12513,12598,3788,3573,4468,4469,4583,11625,3725,3937,3983,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,12404,3875,11872,3413,3508,11701,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,12519,4621,11744,11775,11812,11819,11852,3862,3633,4005,3458,3459,3432,4606,4580,3814,3617,4622,4190,11512,3747,3469,11989,11992,12437,12540,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,12060,4159,4118,12141,12487,4066,10874,12497,4113,11239,12360,12436,12496,12539,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,12382,12651,12713,12733,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,12480,12543,12662,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,3431,12407,3504,12352,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,12451,12546,12549,12655,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,12378,12525,12568,12574,12674,12677,12699,3489,10853,10886,10895,10898,10901,11481,12696,3529,3522,3941,3880,10506,11875,11903,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,3450,10889,11042,11112,11904,12053,12251,12456,3904,4238,4610,3915,3949,4597,4600,3406,3410,4599,4598,3737,4332,4627,10752,10755,4632,11225,11228,11414,11525,11542,11588,4023,11585,11924,11928,12605,12613,3870,11155,11161,11179,12173,12303,12381,3721,11295,11417,12413,12522,12531,12610,12665,4195,3872,10892,11258,11423,11457,11468,12609,3581,3690,10805,10808,10904,11068,4630,11869,3667,4631,10645,10758,12475,12484,12528,12727,4293,11028,12493,4201,3903,3848,4628,10479,10482,10847,10850,11741,11929,4629,11849,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,83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% 190.85/190.74 cnf(12763,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x127631),x127632),f178(f906(x127631,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(12768,plain,
% 190.85/190.74 (P30(x127681,x127682,f103(x127681))),
% 190.85/190.74 inference(rename_variables,[],[3366])).
% 190.85/190.74 cnf(12771,plain,
% 190.85/190.74 (E(f836(f179(f900(x127711)),f159(x127711,x127712,x127713)),x127712)),
% 190.85/190.74 inference(rename_variables,[],[3495])).
% 190.85/190.74 cnf(12774,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x127741),x127742),f178(f906(x127741,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(12778,plain,
% 190.85/190.74 (~P1(f836(f836(f318(f905(f900(x127781),f900(x127781))),f836(f836(f242(f900(x127781),f900(x127781)),x127782),x127782)),f137(x127781,f143(x127781,f103(f906(x127781,a899))))))),
% 190.85/190.74 inference(scs_inference,[],[4081,12692,3664,11310,12363,12466,12469,12560,12602,12606,12614,3674,3681,3400,3366,4591,4592,3299,3302,3303,4590,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,12429,12595,3484,3632,12124,3350,4578,10626,10726,11190,3040,3042,3043,3047,3048,3051,3053,3054,3056,3057,3058,3066,3076,3080,3083,3095,3102,3105,3108,3109,3111,3116,3120,3137,3165,3166,3180,3185,3186,3188,3192,3193,3198,3199,3201,3211,3226,4570,3762,3987,11886,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,12335,12536,3361,12627,12631,12635,3367,3376,3882,4183,3495,12689,3265,3626,3973,11642,3329,3261,3289,3742,3284,3270,3894,3309,3485,11037,11164,12430,12646,3360,4055,4585,10457,10623,11495,12587,12628,4588,12599,3420,11968,4614,11216,11315,11551,11554,3533,4594,3324,10527,10856,3325,3585,3243,3346,11632,4197,12617,12758,4057,11236,11367,11426,12571,12577,12703,12706,12736,4633,11139,11380,11489,11515,11559,11565,12516,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,12472,12513,12598,3788,3573,4468,4469,4583,11625,3725,3937,3983,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,12404,3875,11872,3413,3508,11701,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,12519,4621,11744,11775,11812,11819,11852,3862,3633,4005,3458,3459,3432,4606,4580,3814,3617,4622,4190,11512,3747,3469,11989,11992,12437,12540,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,12060,4159,4118,12141,12487,4066,10874,12497,4113,11239,12360,12436,12496,12539,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,12382,12651,12713,12733,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,12480,12543,12662,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,3431,12407,3504,12352,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,12451,12546,12549,12655,12695,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,12378,12525,12568,12574,12674,12677,12699,12757,12763,3489,10853,10886,10895,10898,10901,11481,12696,3529,3522,3941,3880,10506,11875,11903,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,3450,10889,11042,11112,11904,12053,12251,12456,3904,4238,4610,3915,3949,4597,4600,3406,3410,4599,4598,3737,4332,11727,4627,10752,10755,4632,11225,11228,11414,11525,11542,11588,4023,11585,11924,11928,12605,12613,3870,11155,11161,11179,12173,12303,12381,3721,11295,11417,12413,12522,12531,12610,12665,4195,3872,10892,11258,11423,11457,11468,12609,3581,3690,10805,10808,10904,11068,4630,11869,3667,4631,10645,10758,12475,12484,12528,12727,4293,11028,12493,4201,3903,3848,4628,10479,10482,10847,10850,11741,11929,4629,11849,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500,6513,6534,6540,6542,6557,6558,6562,6564,6565,6566,6568,6570,6571,6572,6579,6585,6586,6588,6589,6595,6597,6639,6645,6660,6664,6665,6666,6700,6705,6707,6712,6713,6723,6727,6741,6764,6765,6767,6768,6779,6784,6804,6807,6829,6849,6862,6863,6864,6870,6884,6903,6905,6907,6909,6914,6920,6922,6936,6941,6942,6979,6980,6981,6998,6999,7001,7002,7022,7024,7039,7067,7090,7101,7103,7105,7107,7108,7139,7140,7141,7145,7146,7154,7156,7157,7158,7180,7189,7190,7201,7211,7251,7261,7267,7274,7285,7290,7292,7299,7319,7336,7357,7359,7378,7433,7434,7435,7437,7439,7443,7444,7449,7513,7541,7556,7571,7602,7606,7629,7654,7672,7675,7676,7686,7706,7708,7710,7712,7713,7714,7715,7716,7741,7767,7768,7800,7802,7803,7804,7810,7831,7848,7853,7859,7861,7869,7882,7883,7885,7906,7913,7934,8002,8003,8004,8052,8058,8059,8082,8083,8100,8101,8102,8159,8160,8189,8219,8228,8242,8257,8286,8290,8296,8308,8326,8331,8354,8399,8428,8442,8462,8465,8491,8517,8575,8576,8579,8580,8649,8683,8684,8685,8686,8713,8745,8774,8782,8783,8824,8845,8890,8906,8952,8955,8970,8977,9019,9058,9059,9077,9078,9092,9210,9215,9219,9239,9250,9273,9275,9278,9284,9286,9287,9298,9299,9318,9326,9337,9345,9390,9408,9463,9464,9470,9509,9534,9539,9579,9593,9597,9598,9602,9603,9616,9639,9654,9663,9664,9666,9668,9697,9817,9818,9867,9868,9907,9942,10052])).
% 190.85/190.74 cnf(12780,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x127801),x127801))),
% 190.85/190.74 inference(rename_variables,[],[4605])).
% 190.85/190.74 cnf(12782,plain,
% 190.85/190.74 (P1(f836(f836(f318(f905(f900(x127821),f900(x127821))),f836(f836(f242(f900(x127821),f900(x127821)),f159(x127821,f836(f179(f900(x127821)),x127822),x127823)),x127822)),f148(x127821,f232(f906(f905(x127821,x127821),a895)))))),
% 190.85/190.74 inference(scs_inference,[],[4081,12692,3664,11310,12363,12466,12469,12560,12602,12606,12614,3674,3681,3400,3366,4591,4592,3299,3302,3303,4590,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,12429,12595,3484,3632,12124,3350,4578,10626,10726,11190,3040,3042,3043,3047,3048,3051,3053,3054,3056,3057,3058,3066,3076,3080,3083,3095,3102,3105,3108,3109,3111,3116,3120,3137,3165,3166,3180,3185,3186,3188,3192,3193,3198,3199,3201,3211,3226,4570,3762,3987,11886,3275,11596,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,12335,12536,3361,12627,12631,12635,3367,3376,3882,4183,3495,12689,12771,3265,3626,3973,11642,3329,3261,3289,3742,3284,3270,3894,3309,3485,11037,11164,12430,12646,3360,4055,4585,10457,10623,11495,12587,12628,4588,12599,3420,11968,4614,11216,11315,11551,11554,3533,4594,3324,10527,10856,3325,3585,3243,3346,11632,4197,12617,12758,4057,11236,11367,11426,12571,12577,12703,12706,12736,4633,11139,11380,11489,11515,11559,11565,12516,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,12472,12513,12598,3788,3573,4468,4469,4583,11625,3725,3937,3983,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,12404,3875,11872,3413,3508,11701,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,12519,4621,11744,11775,11812,11819,11852,3862,3633,4005,3458,3459,3432,4606,4580,3814,3617,4622,4190,11512,3747,3469,11989,11992,12437,12540,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,12060,4159,4118,12141,12487,4066,10874,12497,4113,11239,12360,12436,12496,12539,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,12382,12651,12713,12733,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,12480,12543,12662,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,3431,12407,3504,12352,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,12451,12546,12549,12655,12695,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,12594,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,12378,12525,12568,12574,12674,12677,12699,12757,12763,3489,10853,10886,10895,10898,10901,11481,12696,3529,3522,3941,3880,10506,11875,11903,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,3450,10889,11042,11112,11904,12053,12251,12456,3904,4238,4610,3915,3949,4597,4600,3406,3410,4599,4598,3737,4332,11727,4627,10752,10755,4632,11225,11228,11414,11525,11542,11588,4023,11585,11924,11928,12605,12613,3870,11155,11161,11179,12173,12303,12381,3721,11295,11417,12413,12522,12531,12610,12665,4195,3872,10892,11258,11423,11457,11468,12609,3581,3690,10805,10808,10904,11068,4630,11869,3667,4631,10645,10758,12475,12484,12528,12727,4293,11028,12493,4201,3903,3848,4628,10479,10482,10847,10850,11741,11929,4629,11849,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016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% 190.85/190.74 cnf(12783,plain,
% 190.85/190.74 (P1(f836(f836(f318(x127831),x127832),f232(f906(x127831,a895))))),
% 190.85/190.74 inference(rename_variables,[],[3580])).
% 190.85/190.74 cnf(12787,plain,
% 190.85/190.74 (P1(f836(f836(f224(f906(x127871,a895)),x127872),x127872))),
% 190.85/190.74 inference(rename_variables,[],[3721])).
% 190.85/190.74 cnf(12790,plain,
% 190.85/190.74 (~P1(f836(f836(f318(x127901),x127902),f178(f906(x127901,a895))))),
% 190.85/190.74 inference(rename_variables,[],[4617])).
% 190.85/190.74 cnf(12793,plain,
% 190.85/190.74 (P1(f836(f836(f224(a1),f2(a1)),f836(f836(f234(a1),f836(f70(a1),x127931)),x127932)))),
% 190.85/190.74 inference(rename_variables,[],[3903])).
% 190.85/190.74 cnf(12796,plain,
% 190.85/190.74 (~E(f836(a102,x127961),x127961)),
% 190.85/190.74 inference(rename_variables,[],[4572])).
% 190.85/190.74 cnf(12798,plain,
% 190.85/190.74 (E(f836(f274(x127981,x127981),f253(x127981,x127982)),x127982)),
% 190.85/190.74 inference(rename_variables,[],[3390])).
% 190.85/190.74 cnf(12800,plain,
% 190.85/190.74 (E(f836(f274(x128001,x128001),f253(x128001,x128002)),x128002)),
% 190.85/190.74 inference(rename_variables,[],[3390])).
% 190.85/190.74 cnf(12805,plain,
% 190.85/190.74 (E(f836(f274(x128051,x128051),f253(x128051,x128052)),x128052)),
% 190.85/190.74 inference(rename_variables,[],[3390])).
% 190.85/190.74 cnf(12807,plain,
% 190.85/190.74 (P51(x128071,f253(x128071,x128072))),
% 190.85/190.74 inference(rename_variables,[],[3303])).
% 190.85/190.74 cnf(12812,plain,
% 190.85/190.74 (E(f836(f274(x128121,x128121),f253(x128121,x128122)),x128122)),
% 190.85/190.74 inference(rename_variables,[],[3390])).
% 190.85/190.74 cnf(12814,plain,
% 190.85/190.74 (P36(x128141,f143(x128141,x128142))),
% 190.85/190.74 inference(rename_variables,[],[3299])).
% 190.85/190.74 cnf(12818,plain,
% 190.85/190.74 (E(f836(f274(x128181,x128181),f253(x128181,x128182)),x128182)),
% 190.85/190.74 inference(rename_variables,[],[3390])).
% 190.85/190.74 cnf(12820,plain,
% 190.85/190.74 (E(f836(f274(x128201,x128201),f253(x128201,x128202)),x128202)),
% 190.85/190.74 inference(rename_variables,[],[3390])).
% 190.85/190.74 cnf(12824,plain,
% 190.85/190.74 (P24(x128241,x128241,f5(x128241),x128242)),
% 190.85/190.74 inference(rename_variables,[],[3664])).
% 190.85/190.74 cnf(12826,plain,
% 190.85/190.74 (P24(x128261,x128261,f5(x128261),x128262)),
% 190.85/190.74 inference(rename_variables,[],[3664])).
% 190.85/190.74 cnf(12838,plain,
% 190.85/190.74 (P37(x128381,f253(x128381,x128382))),
% 190.85/190.74 inference(rename_variables,[],[3300])).
% 190.85/190.74 cnf(12842,plain,
% 190.85/190.74 (E(f836(f274(x128421,x128421),f253(x128421,x128422)),x128422)),
% 190.85/190.74 inference(rename_variables,[],[3390])).
% 190.85/190.74 cnf(12849,plain,
% 190.85/190.74 (P25(x128491,x128491,f25(x128491),x128492,x128492)),
% 190.85/190.74 inference(rename_variables,[],[4081])).
% 190.85/190.74 cnf(12851,plain,
% 190.85/190.74 (P25(x128511,x128511,f25(x128511),x128512,x128512)),
% 190.85/190.74 inference(rename_variables,[],[4081])).
% 190.85/190.74 cnf(12853,plain,
% 190.85/190.74 (P25(x128531,x128531,f25(x128531),x128532,x128532)),
% 190.85/190.74 inference(rename_variables,[],[4081])).
% 190.85/190.74 cnf(12858,plain,
% 190.85/190.74 (E(f836(f274(x128581,x128581),f253(x128581,x128582)),x128582)),
% 190.85/190.74 inference(rename_variables,[],[3390])).
% 190.85/190.74 cnf(12860,plain,
% 190.85/190.74 (P31(x128601,x128602,f103(x128601),f103(x128601))),
% 190.85/190.74 inference(rename_variables,[],[3674])).
% 190.85/190.74 cnf(12862,plain,
% 190.85/190.74 (P31(x128621,x128622,f103(x128621),f103(x128621))),
% 190.85/190.74 inference(rename_variables,[],[3674])).
% 190.85/190.74 cnf(12874,plain,
% 190.85/190.74 (E(f178(f906(f905(x128741,x128741),a895)),f253(x128741,f178(f906(x128741,a895))))),
% 190.85/190.74 inference(rename_variables,[],[3499])).
% 190.85/190.74 cnf(12880,plain,
% 190.85/190.74 (E(f836(f274(x128801,x128801),f253(x128801,x128802)),x128802)),
% 190.85/190.74 inference(rename_variables,[],[3390])).
% 190.85/190.74 cnf(12882,plain,
% 190.85/190.74 (P52(x128821,x128822,f253(x128821,x128822))),
% 190.85/190.74 inference(rename_variables,[],[3399])).
% 190.85/190.74 cnf(12884,plain,
% 190.85/190.74 (P52(x128841,x128842,f253(x128841,x128842))),
% 190.85/190.74 inference(rename_variables,[],[3399])).
% 190.85/190.74 cnf(12886,plain,
% 190.85/190.74 (P52(x128861,x128862,f253(x128861,x128862))),
% 190.85/190.74 inference(rename_variables,[],[3399])).
% 190.85/190.74 cnf(12890,plain,
% 190.85/190.74 (P14(x128901,f906(x128901,a895),f299(x128901))),
% 190.85/190.74 inference(rename_variables,[],[3403])).
% 190.85/190.74 cnf(12894,plain,
% 190.85/190.74 (P55(x128941,f178(f906(x128941,a895)),x128942)),
% 190.85/190.74 inference(rename_variables,[],[3448])).
% 190.85/190.74 cnf(12898,plain,
% 190.85/190.74 (P41(x128981,x128982,x128983,x128984,f178(f906(x128981,a895)),x128984)),
% 190.85/190.74 inference(rename_variables,[],[4354])).
% 190.85/190.74 cnf(12910,plain,
% 190.85/190.74 (P54(x129101,x129101,f253(x129101,x129102))),
% 190.85/190.74 inference(rename_variables,[],[3400])).
% 190.85/190.74 cnf(12924,plain,
% 190.85/190.74 (E(f836(f274(x129241,x129241),f253(x129241,x129242)),x129242)),
% 190.85/190.74 inference(rename_variables,[],[3390])).
% 190.85/190.74 cnf(12928,plain,
% 190.85/190.74 (E(f178(f906(f905(x129281,x129281),a895)),f253(x129281,f178(f906(x129281,a895))))),
% 190.85/190.74 inference(rename_variables,[],[3499])).
% 190.85/190.74 cnf(12942,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x129421),f2(a899)))),
% 190.85/190.74 inference(rename_variables,[],[4609])).
% 190.85/190.74 cnf(12944,plain,
% 190.85/190.74 (P1(f836(f836(f224(a1),a77),f2(a1)))),
% 190.85/190.74 inference(scs_inference,[],[4081,12692,12714,12849,12851,3664,11310,12363,12466,12469,12560,12602,12606,12614,12686,12824,3674,12433,12860,12862,3681,3399,12882,12884,12886,3400,12910,3366,12768,4591,4592,11948,4354,12898,3403,12890,3242,3299,12814,3300,12838,3301,3302,3303,12642,12807,4590,3723,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,12429,12595,12656,3484,3448,12894,3632,12124,3350,4578,10626,10726,11190,3040,3042,3043,3047,3048,3051,3052,3053,3054,3056,3057,3058,3066,3076,3080,3083,3095,3102,3105,3108,3109,3111,3116,3120,3137,3165,3166,3180,3185,3186,3188,3192,3193,3198,3199,3201,3211,4569,3226,3298,4570,3762,3987,11886,3275,11596,3411,3387,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,12335,12536,12746,12798,12800,12805,12812,12818,12820,12842,12858,12880,3361,12627,12631,12635,3367,3376,3882,4183,3495,12689,12771,3265,3626,3973,11642,3329,3261,3289,3742,3284,3483,4090,3981,3804,3270,3894,3309,3485,11037,11164,12430,12646,3360,4055,4585,10457,10623,11495,12587,12628,12632,4588,12599,3420,11968,4013,4614,11216,11315,11551,11554,3823,3533,3748,4594,3499,12874,12928,3324,10527,10856,3325,3585,3317,3243,3346,11632,4197,12617,12758,4057,11236,11367,11426,12571,12577,12703,12706,12736,4633,11139,11380,11489,11515,11559,11565,12516,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,12472,12513,12598,3788,3573,4468,4469,3645,4583,11625,3766,3725,3937,3983,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,12404,3875,11872,3413,3508,11701,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,12519,12621,4621,11744,11775,11812,11819,11852,3862,3633,4005,3458,3459,3432,4606,4580,3814,4119,3617,4622,4190,11512,3747,3469,11989,11992,12437,12540,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,12060,4159,4118,12141,12487,4066,10874,12497,4113,11239,12360,12436,12496,12539,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,12382,12651,12713,12733,12743,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,12480,12543,12662,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,3431,12407,3504,12352,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,12451,12546,12549,12655,12695,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,12594,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,12378,12525,12568,12574,12674,12677,12699,12757,12763,12774,3489,10853,10886,10895,10898,10901,11481,12696,3529,3522,3941,3880,10506,11875,11903,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,3450,10889,11042,11112,11904,12053,12251,12456,3904,4238,4610,3915,3949,4597,4600,3406,3410,4599,4598,4361,3737,4332,11727,4627,10752,10755,4632,11225,11228,11414,11525,11542,11588,4023,11585,11924,11928,12605,12613,3870,11155,11161,11179,12173,12303,12381,3721,11295,11417,12413,12522,12531,12610,12665,12673,4195,3872,10892,11258,11423,11457,11468,12609,3581,3690,10805,10808,10904,11068,4630,11869,3667,4631,10645,10758,12475,12484,12528,12727,4293,11028,12493,4201,3903,3848,4628,10479,10482,10847,10850,11741,11929,4629,11849,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,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% 190.85/190.74 cnf(12951,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a1),f836(f90(a1),x129511)),f836(f73(a1),f836(f90(a1),x129512))))),
% 190.85/190.74 inference(rename_variables,[],[4626])).
% 190.85/190.74 cnf(12961,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x129611),f2(a899)))),
% 190.85/190.74 inference(rename_variables,[],[4609])).
% 190.85/190.74 cnf(12964,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x129641),f2(a899)))),
% 190.85/190.74 inference(rename_variables,[],[4609])).
% 190.85/190.74 cnf(12967,plain,
% 190.85/190.74 (P1(f836(f29(a899),f295(a899,x129671,x129672)))),
% 190.85/190.74 inference(rename_variables,[],[3634])).
% 190.85/190.74 cnf(12970,plain,
% 190.85/190.74 (P1(f836(f29(a899),f295(a899,x129701,x129702)))),
% 190.85/190.74 inference(rename_variables,[],[3634])).
% 190.85/190.74 cnf(12973,plain,
% 190.85/190.74 (P1(f836(f29(a899),f295(a899,x129731,x129732)))),
% 190.85/190.74 inference(rename_variables,[],[3634])).
% 190.85/190.74 cnf(12976,plain,
% 190.85/190.74 (P1(f836(f29(a899),f295(a899,x129761,x129762)))),
% 190.85/190.74 inference(rename_variables,[],[3634])).
% 190.85/190.74 cnf(12983,plain,
% 190.85/190.74 (P1(f836(f836(f224(a1),f836(f73(a1),f836(f90(a1),x129831))),f836(f90(a1),x129832)))),
% 190.85/190.74 inference(rename_variables,[],[3904])).
% 190.85/190.74 cnf(12985,plain,
% 190.85/190.74 (P1(f836(f836(f224(a1),f2(a1)),f836(f94(a1),f2(a1))))),
% 190.85/190.74 inference(scs_inference,[],[4081,12692,12714,12849,12851,3664,11310,12363,12466,12469,12560,12602,12606,12614,12686,12824,3674,12433,12860,12862,3681,3399,12882,12884,12886,3400,12910,3366,12768,4591,4592,11948,4354,12898,3403,12890,3242,3299,12814,3300,12838,3301,3302,3303,12642,12807,4590,3723,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,12429,12595,12656,3484,3448,12894,3632,12124,3350,4578,10626,10726,11190,3040,3042,3043,3047,3048,3051,3052,3053,3054,3056,3057,3058,3066,3076,3080,3083,3095,3102,3105,3108,3109,3111,3116,3120,3137,3165,3166,3180,3185,3186,3188,3192,3193,3197,3198,3199,3201,3211,4569,3226,3298,4570,3762,3987,11886,3275,11596,3411,3387,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,12335,12536,12746,12798,12800,12805,12812,12818,12820,12842,12858,12880,3361,12627,12631,12635,3367,3376,3882,4183,3495,12689,12771,3265,3626,3973,11642,3329,3261,3289,3742,3284,3483,4090,3981,3804,3270,3252,3894,3309,3485,11037,11164,12430,12646,3360,4055,4585,10457,10623,11495,12587,12628,12632,4588,12599,3420,11968,4013,4614,11216,11315,11551,11554,3823,3533,3748,4594,3499,12874,12928,3324,10527,10856,3325,3585,3317,3243,3346,11632,4197,12617,12758,4057,11236,11367,11426,12571,12577,12703,12706,12736,4633,11139,11380,11489,11515,11559,11565,12516,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,12472,12513,12598,3788,3573,4468,4469,3645,4583,11625,3766,3725,3937,3983,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,12404,3875,11872,3413,3508,11701,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,12519,12621,12942,12961,4621,11744,11775,11812,11819,11852,3862,3633,3634,12967,12970,12973,4005,3458,3459,3432,4606,4580,3814,4119,3617,4622,4190,11512,3747,3469,11989,11992,12437,12540,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,12060,4159,4118,12141,12487,4066,10874,12497,4113,11239,12360,12436,12496,12539,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,12382,12651,12713,12733,12743,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,12480,12543,12662,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,3431,12407,3504,12352,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,12451,12546,12549,12655,12695,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,12594,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,12378,12525,12568,12574,12674,12677,12699,12757,12763,12774,3489,10853,10886,10895,10898,10901,11481,12696,3529,3522,3941,3880,10506,11875,11903,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,3450,10889,11042,11112,11904,12053,12251,12456,3904,11995,4238,4610,3915,3949,4597,4600,4601,3406,3410,4599,4598,4361,3737,4332,11727,4627,10752,10755,4632,11225,11228,11414,11525,11542,11588,4023,11585,11924,11928,12605,12613,3870,11155,11161,11179,12173,12303,12381,3721,11295,11417,12413,12522,12531,12610,12665,12673,4195,3872,10892,11258,11423,11457,11468,12609,3581,3690,10805,10808,10904,11068,3689,4630,11869,4626,12951,3667,4631,10645,10758,12475,12484,12528,12727,4293,11028,12493,4201,3903,3848,3849,4628,10479,10482,10847,10850,11741,11929,4629,11849,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,655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% 190.85/190.74 cnf(12988,plain,
% 190.85/190.74 (~P1(f836(f836(f225(a899),x129881),f2(a899)))),
% 190.85/190.74 inference(rename_variables,[],[4609])).
% 190.85/190.74 cnf(12989,plain,
% 190.85/190.74 (P1(f836(f836(f224(a899),x129891),x129891))),
% 190.85/190.74 inference(rename_variables,[],[3429])).
% 190.85/190.74 cnf(12996,plain,
% 190.85/190.74 (P1(f836(f836(f225(a899),x129961),f836(a102,x129961)))),
% 190.85/190.74 inference(rename_variables,[],[3496])).
% 190.85/190.74 cnf(12998,plain,
% 190.85/190.74 (P1(f836(f836(f224(a1),f2(a1)),a77))),
% 190.85/190.74 inference(scs_inference,[],[4081,12692,12714,12849,12851,3664,11310,12363,12466,12469,12560,12602,12606,12614,12686,12824,3674,12433,12860,12862,3681,3399,12882,12884,12886,3400,12910,3366,12768,4591,4592,11948,4354,12898,3403,12890,3242,3299,12814,3300,12838,3301,3302,3303,12642,12807,4590,3723,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,12429,12595,12656,3484,3448,12894,3632,12124,3350,4578,10626,10726,11190,3040,3042,3043,3047,3048,3051,3052,3053,3054,3056,3057,3058,3066,3076,3080,3083,3095,3102,3105,3108,3109,3111,3116,3120,3137,3165,3166,3180,3185,3186,3188,3192,3193,3197,3198,3199,3201,3211,4569,3226,3298,4570,3762,3987,11886,3275,11596,3411,3387,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,12335,12536,12746,12798,12800,12805,12812,12818,12820,12842,12858,12880,3361,12627,12631,12635,3367,3376,3882,4183,3495,12689,12771,3265,3626,3973,11642,3329,3261,3289,3742,3284,3483,4090,3981,3804,3270,3252,3894,3309,3485,11037,11164,12430,12646,3360,4055,4585,10457,10623,11495,12587,12628,12632,4588,12599,3420,11968,4013,4614,11216,11315,11551,11554,3823,3533,3748,4594,3499,12874,12928,3324,10527,10856,3325,3585,3317,3243,3346,11632,4197,12617,12758,4057,11236,11367,11426,12571,12577,12703,12706,12736,4633,11139,11380,11489,11515,11559,11565,12516,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,12472,12513,12598,3788,3573,4468,4469,3645,4583,11625,3766,3725,3768,3937,3983,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,12404,12740,3875,11872,3413,3508,11701,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,12519,12621,12942,12961,12964,4621,11744,11775,11812,11819,11852,3862,3633,3634,12967,12970,12973,4005,3458,3459,3432,4606,3323,4580,3814,4119,3617,4622,4190,11512,3747,3469,11989,11992,12437,12540,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,12060,4159,4118,12141,12487,4066,10874,12497,4113,11239,12360,12436,12496,12539,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,12382,12651,12713,12733,12743,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,12480,12543,12662,12709,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,3431,12407,3504,12352,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,12451,12546,12549,12655,12695,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,12594,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,12378,12525,12568,12574,12674,12677,12699,12757,12763,12774,3489,10853,10886,10895,10898,10901,11481,12696,3529,3522,3941,3880,10506,11875,11903,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,3450,10889,11042,11112,11904,12053,12251,12456,3904,11995,4238,3639,4610,3915,3949,4597,4600,4601,3406,3410,4599,4598,4361,3737,4332,11727,4627,10752,10755,4632,11225,11228,11414,11525,11542,11588,4023,11585,11924,11928,12605,12613,3870,11155,11161,11179,12173,12303,12381,3721,11295,11417,12413,12522,12531,12610,12665,12673,4195,3872,10892,11258,11423,11457,11468,12609,3581,3690,10805,10808,10904,11068,3689,4630,11869,4626,12951,3667,4631,10645,10758,12475,12484,12528,12727,4293,11028,12493,4201,3903,3848,3849,4628,10479,10482,10847,10850,11741,11929,4629,11849,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500,6513,6534,6540,6542,6557,6558,6562,6564,6565,6566,6568,6570,6571,6572,6579,6585,6586,6588,6589,6595,6597,6639,6645,6660,6664,6665,6666,6700,6705,6707,6712,6713,6723,6727,6741,6764,6765,6767,6768,6779,6784,6804,6807,6829,6849,6862,6863,6864,6870,6884,6903,6905,6907,6909,6914,6920,6922,6936,6941,6942,6979,6980,6981,6998,6999,7001,7002,7022,7024,7039,7067,7090,7101,7103,7105,7107,7108,7139,7140,7141,7145,7146,7154,7156,7157,7158,7180,7189,7190,7201,7211,7251,7261,7267,7274,7285,7290,7292,7299,7319,7336,7357,7359,7378,7433,7434,7435,7437,7439,7443,7444,7449,7513,7541,7556,7571,7602,7606,7629,7654,7672,7675,7676,7686,7706,7708,7710,7712,7713,7714,7715,7716,7741,7767,7768,7800,7802,7803,7804,7810,7831,7848,7853,7859,7861,7869,7882,7883,7885,7906,7913,7934,8002,8003,8004,8052,8058,8059,8082,8083,8100,8101,8102,8159,8160,8189,8219,8228,8242,8257,8286,8290,8296,8308,8326,8331,8354,8399,8428,8442,8462,8465,8491,8517,8575,8576,8579,8580,8649,8683,8684,8685,8686,8713,8745,8774,8782,8783,8824,8845,8890,8906,8952,8955,8970,8977,9019,9058,9059,9077,9078,9092,9210,9215,9219,9239,9250,9273,9275,9278,9284,9286,9287,9298,9299,9318,9326,9337,9345,9390,9408,9463,9464,9470,9509,9534,9539,9579,9593,9597,9598,9602,9603,9616,9639,9654,9663,9664,9666,9668,9697,9817,9818,9867,9868,9907,9942,10052,10119,10275,10293,10298,3,2765,2767,2768,2769,2770,2771,2773,2774,2777,2781,2782,2787,2788,2794,2795,2796,2797,2798,2802,2803,2804,2808,2809,2814,2815,2822,2826,2827,2829,2830,2834,2843,2844,2845,2846,2847,2848,2850,2852,2853,2855,2856,2857,2866,2872,2873,2874,2896,2897,2898,2904,2905,2906,2910,2920,2922,2936,2937,2941,2944,2945,2946,2947,2949,2966,2967,2968,2969,2970,2972,2973,2974,2985,2986,2988,3012,3013,3015,3016,3030,5348,5390,5539,5540,5541,5623,5722,5752,5786,5802,5804,5810,5872,5873,5874,5875,5892,5927,6065,6104,6114,6138,6172,6210])).
% 190.85/190.75 cnf(13000,plain,
% 190.85/190.75 (~P1(f836(f836(f225(a1),f2(a1)),f836(f94(a1),f2(a1))))),
% 190.85/190.75 inference(scs_inference,[],[4081,12692,12714,12849,12851,3664,11310,12363,12466,12469,12560,12602,12606,12614,12686,12824,3674,12433,12860,12862,3681,3399,12882,12884,12886,3400,12910,3366,12768,4591,4592,11948,4354,12898,3403,12890,3242,3299,12814,3300,12838,3301,3302,3303,12642,12807,4590,3723,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,12429,12595,12656,3484,3448,12894,3632,12124,3350,4578,10626,10726,11190,3040,3042,3043,3047,3048,3051,3052,3053,3054,3056,3057,3058,3066,3076,3080,3083,3095,3102,3105,3108,3109,3111,3116,3120,3137,3165,3166,3180,3185,3186,3188,3192,3193,3197,3198,3199,3201,3211,4569,3226,3298,4570,3762,3987,11886,3275,11596,3411,3387,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,12335,12536,12746,12798,12800,12805,12812,12818,12820,12842,12858,12880,3361,12627,12631,12635,3367,3376,3882,4183,3495,12689,12771,3265,3626,3973,11642,3329,3261,3289,3742,3284,3483,4090,3981,3804,3270,3252,3894,3309,3485,11037,11164,12430,12646,3360,4055,4585,10457,10623,11495,12587,12628,12632,4588,12599,3420,11968,4013,4614,11216,11315,11551,11554,3823,3533,3748,4594,3499,12874,12928,3324,10527,10856,3325,3585,3317,3243,3346,11632,4197,12617,12758,4057,11236,11367,11426,12571,12577,12703,12706,12736,4633,11139,11380,11489,11515,11559,11565,12516,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,12472,12513,12598,3788,3573,4468,4469,3645,4583,11625,3766,3725,3768,3937,3983,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,12404,12740,3875,11872,3413,3508,11701,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,12519,12621,12942,12961,12964,4621,11744,11775,11812,11819,11852,3862,3633,3634,12967,12970,12973,4005,3458,3459,3432,4606,3323,4580,3814,4119,3617,4622,4190,11512,3747,3469,11989,11992,12437,12540,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,12060,4159,4118,12141,12487,4066,10874,12497,4113,11239,12360,12436,12496,12539,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,12382,12651,12713,12733,12743,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,12480,12543,12662,12709,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,3431,12407,3504,12352,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,12451,12546,12549,12655,12695,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,12594,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,12378,12525,12568,12574,12674,12677,12699,12757,12763,12774,3489,10853,10886,10895,10898,10901,11481,12696,3529,3522,3941,3880,10506,11875,11903,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,3450,10889,11042,11112,11904,12053,12251,12456,3904,11995,4238,3639,4610,3915,3949,4597,4600,4601,3406,3410,4599,4598,4361,3737,4332,11727,4627,10752,10755,4632,11225,11228,11414,11525,11542,11588,4023,11585,11924,11928,12605,12613,3870,11155,11161,11179,12173,12303,12381,3721,11295,11417,12413,12522,12531,12610,12665,12673,4195,3872,10892,11258,11423,11457,11468,12609,3581,3690,10805,10808,10904,11068,3689,4630,11869,4626,12951,3667,4631,10645,10758,12475,12484,12528,12727,4293,11028,12493,4201,3903,3848,3849,4628,10479,10482,10847,10850,11741,11929,4629,11849,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,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% 190.85/190.75 cnf(13003,plain,
% 190.85/190.75 (P1(f836(f836(f224(a1),x130031),x130031))),
% 190.85/190.75 inference(rename_variables,[],[3430])).
% 190.85/190.75 cnf(13006,plain,
% 190.85/190.75 (P1(f836(f29(a899),f295(a899,x130061,x130062)))),
% 190.85/190.75 inference(rename_variables,[],[3634])).
% 190.85/190.75 cnf(13009,plain,
% 190.85/190.75 (P1(f836(f29(a899),f295(a899,x130091,x130092)))),
% 190.85/190.75 inference(rename_variables,[],[3634])).
% 190.85/190.75 cnf(13012,plain,
% 190.85/190.75 (P1(f836(f836(f224(a899),x130121),x130121))),
% 190.85/190.75 inference(rename_variables,[],[3429])).
% 190.85/190.75 cnf(13029,plain,
% 190.85/190.75 (P1(f836(f836(f224(a899),f41(a899,x130291,x130292)),x130291))),
% 190.85/190.75 inference(rename_variables,[],[3880])).
% 190.85/190.75 cnf(13034,plain,
% 190.85/190.75 (P1(f836(f836(f225(a899),x130341),f836(a102,x130341)))),
% 190.85/190.75 inference(rename_variables,[],[3496])).
% 190.85/190.75 cnf(13037,plain,
% 190.85/190.75 (P1(f836(f836(f225(a899),x130371),f836(a102,x130371)))),
% 190.85/190.75 inference(rename_variables,[],[3496])).
% 190.85/190.75 cnf(13038,plain,
% 190.85/190.75 (~P1(f836(f836(f225(a899),x130381),f2(a899)))),
% 190.85/190.75 inference(rename_variables,[],[4609])).
% 190.85/190.75 cnf(13047,plain,
% 190.85/190.75 (~P1(f836(f836(f225(a1),f836(f90(a1),x130471)),f2(a1)))),
% 190.85/190.75 inference(rename_variables,[],[4621])).
% 190.85/190.75 cnf(13048,plain,
% 190.85/190.75 (P1(f836(f232(f906(x130481,a895)),x130482))),
% 190.85/190.75 inference(rename_variables,[],[3489])).
% 190.85/190.75 cnf(13051,plain,
% 190.85/190.75 (~P1(f836(f836(f225(a1),f836(f90(a1),x130511)),f2(a1)))),
% 190.85/190.75 inference(rename_variables,[],[4621])).
% 190.85/190.75 cnf(13052,plain,
% 190.85/190.75 (P1(f836(f232(f906(x130521,a895)),x130522))),
% 190.85/190.75 inference(rename_variables,[],[3489])).
% 190.85/190.75 cnf(13055,plain,
% 190.85/190.75 (P1(f836(f232(f906(x130551,a895)),x130552))),
% 190.85/190.75 inference(rename_variables,[],[3489])).
% 190.85/190.75 cnf(13058,plain,
% 190.85/190.75 (P1(f836(f232(f906(x130581,a895)),x130582))),
% 190.85/190.75 inference(rename_variables,[],[3489])).
% 190.85/190.75 cnf(13066,plain,
% 190.85/190.75 (~P1(f836(f836(f318(x130661),x130662),f178(f906(x130661,a895))))),
% 190.85/190.75 inference(rename_variables,[],[4617])).
% 190.85/190.75 cnf(13067,plain,
% 190.85/190.75 (P1(f836(f29(x130671),f178(f906(x130671,a895))))),
% 190.85/190.75 inference(rename_variables,[],[3504])).
% 190.85/190.75 cnf(13070,plain,
% 190.85/190.75 (P1(f836(f836(f224(a899),x130701),x130701))),
% 190.85/190.75 inference(rename_variables,[],[3429])).
% 190.85/190.75 cnf(13079,plain,
% 190.85/190.75 (P1(f836(f836(f224(a899),f2(a899)),x130791))),
% 190.85/190.75 inference(rename_variables,[],[3450])).
% 190.85/190.75 cnf(13082,plain,
% 190.85/190.75 (~P1(f836(f836(f318(x130821),x130822),f178(f906(x130821,a895))))),
% 190.85/190.75 inference(rename_variables,[],[4617])).
% 190.85/190.75 cnf(13085,plain,
% 190.85/190.75 (~P1(f836(f836(f318(x130851),x130852),f178(f906(x130851,a895))))),
% 190.85/190.75 inference(rename_variables,[],[4617])).
% 190.85/190.75 cnf(13090,plain,
% 190.85/190.75 (P1(f836(f836(f224(a899),x130901),x130901))),
% 190.85/190.75 inference(rename_variables,[],[3429])).
% 190.85/190.75 cnf(13098,plain,
% 190.85/190.75 (P1(f836(f836(f225(a899),x130981),f836(a102,x130981)))),
% 190.85/190.75 inference(rename_variables,[],[3496])).
% 190.85/190.75 cnf(13101,plain,
% 190.85/190.75 (P1(f836(f836(f224(a899),x131011),x131011))),
% 190.85/190.75 inference(rename_variables,[],[3429])).
% 190.85/190.75 cnf(13106,plain,
% 190.85/190.75 (P1(f836(f836(f224(a899),x131061),x131061))),
% 190.85/190.75 inference(rename_variables,[],[3429])).
% 190.85/190.75 cnf(13109,plain,
% 190.85/190.75 (P1(f836(f836(f224(a899),x131091),x131091))),
% 190.85/190.75 inference(rename_variables,[],[3429])).
% 190.85/190.75 cnf(13112,plain,
% 190.85/190.75 (P1(f836(f836(f224(a899),x131121),x131121))),
% 190.85/190.75 inference(rename_variables,[],[3429])).
% 190.85/190.75 cnf(13115,plain,
% 190.85/190.75 (E(f836(f836(f23(f906(x131151,a895)),f178(f906(x131151,a895))),x131152),f178(f906(x131151,a895)))),
% 190.85/190.75 inference(rename_variables,[],[3692])).
% 190.85/190.75 cnf(13116,plain,
% 190.85/190.75 (P1(f836(f29(x131161),f178(f906(x131161,a895))))),
% 190.85/190.75 inference(rename_variables,[],[3504])).
% 190.85/190.75 cnf(13119,plain,
% 190.85/190.75 (E(f836(f836(f23(f906(x131191,a895)),f178(f906(x131191,a895))),x131192),f178(f906(x131191,a895)))),
% 190.85/190.75 inference(rename_variables,[],[3692])).
% 190.85/190.75 cnf(13120,plain,
% 190.85/190.75 (P1(f836(f29(x131201),f178(f906(x131201,a895))))),
% 190.85/190.75 inference(rename_variables,[],[3504])).
% 190.85/190.75 cnf(13123,plain,
% 190.85/190.75 (E(f836(f836(f23(f906(x131231,a895)),f178(f906(x131231,a895))),x131232),f178(f906(x131231,a895)))),
% 190.85/190.75 inference(rename_variables,[],[3692])).
% 190.85/190.75 cnf(13124,plain,
% 190.85/190.75 (P1(f836(f29(x131241),f178(f906(x131241,a895))))),
% 190.85/190.75 inference(rename_variables,[],[3504])).
% 190.85/190.75 cnf(13127,plain,
% 190.85/190.75 (E(f836(f836(f23(f906(x131271,a895)),f178(f906(x131271,a895))),x131272),f178(f906(x131271,a895)))),
% 190.85/190.75 inference(rename_variables,[],[3692])).
% 190.85/190.75 cnf(13128,plain,
% 190.85/190.75 (P1(f836(f29(x131281),f178(f906(x131281,a895))))),
% 190.85/190.75 inference(rename_variables,[],[3504])).
% 190.85/190.75 cnf(13132,plain,
% 190.85/190.75 (E(f836(f274(x131321,x131321),f253(x131321,x131322)),x131322)),
% 190.85/190.75 inference(rename_variables,[],[3390])).
% 190.85/190.75 cnf(13137,plain,
% 190.85/190.75 (E(f836(f836(f23(f906(x131371,a895)),f178(f906(x131371,a895))),x131372),f178(f906(x131371,a895)))),
% 190.85/190.75 inference(rename_variables,[],[3692])).
% 190.85/190.75 cnf(13138,plain,
% 190.85/190.75 (P1(f836(f29(x131381),f178(f906(x131381,a895))))),
% 190.85/190.75 inference(rename_variables,[],[3504])).
% 190.85/190.75 cnf(13142,plain,
% 190.85/190.75 (P1(f836(f29(x131421),f178(f906(x131421,a895))))),
% 190.85/190.75 inference(rename_variables,[],[3504])).
% 190.85/190.75 cnf(13145,plain,
% 190.85/190.75 (P1(f836(f836(f224(a899),x131451),x131451))),
% 190.85/190.75 inference(rename_variables,[],[3429])).
% 190.85/190.75 cnf(13149,plain,
% 190.85/190.75 (P1(f836(f836(f224(a1),x131491),x131491))),
% 190.85/190.75 inference(rename_variables,[],[3430])).
% 190.85/190.75 cnf(13156,plain,
% 190.85/190.75 (P1(f836(f836(f224(a899),x131561),x131561))),
% 190.85/190.75 inference(rename_variables,[],[3429])).
% 190.85/190.75 cnf(13169,plain,
% 190.85/190.75 (P1(f836(f836(f224(a899),x131691),x131691))),
% 190.85/190.75 inference(rename_variables,[],[3429])).
% 190.85/190.75 cnf(13172,plain,
% 190.85/190.75 (P1(f836(f836(f224(a1),x131721),x131721))),
% 190.85/190.75 inference(rename_variables,[],[3430])).
% 190.85/190.75 cnf(13183,plain,
% 190.85/190.75 (~P1(f836(f836(f318(x131831),x131832),f178(f906(x131831,a895))))),
% 190.85/190.75 inference(rename_variables,[],[4617])).
% 190.85/190.75 cnf(13194,plain,
% 190.85/190.75 (P1(f836(f836(f318(x131941),x131942),f232(f906(x131941,a895))))),
% 190.85/190.75 inference(rename_variables,[],[3580])).
% 190.85/190.75 cnf(13195,plain,
% 190.85/190.75 (E(f836(f182(x131951,x131952),x131953),f111(x131951,x131952))),
% 190.85/190.75 inference(rename_variables,[],[3344])).
% 190.85/190.75 cnf(13198,plain,
% 190.85/190.75 (P1(f836(f836(f318(x131981),f836(x131982,x131983)),f836(f300(x131984,x131981,x131982),f232(f906(x131984,a895)))))),
% 190.85/190.75 inference(rename_variables,[],[4023])).
% 190.85/190.75 cnf(13202,plain,
% 190.85/190.75 (P1(f836(f836(f224(f906(x132021,a895)),x132022),f232(f906(x132021,a895))))),
% 190.85/190.75 inference(rename_variables,[],[3806])).
% 190.85/190.75 cnf(13205,plain,
% 190.85/190.75 (P1(f836(f836(f224(f906(x132051,a895)),x132052),x132052))),
% 190.85/190.75 inference(rename_variables,[],[3721])).
% 190.85/190.75 cnf(13211,plain,
% 190.85/190.75 (~P1(f836(f836(f225(a899),x132111),f2(a899)))),
% 190.85/190.75 inference(rename_variables,[],[4609])).
% 190.85/190.75 cnf(13212,plain,
% 190.85/190.75 (P1(f836(f836(f224(a1),x132121),x132121))),
% 190.85/190.75 inference(rename_variables,[],[3430])).
% 190.85/190.75 cnf(13216,plain,
% 190.85/190.75 (~P1(f836(f836(f225(a899),x132161),f2(a899)))),
% 190.85/190.75 inference(rename_variables,[],[4609])).
% 190.85/190.75 cnf(13217,plain,
% 190.85/190.75 (P1(f836(f836(f224(a1),x132171),x132171))),
% 190.85/190.75 inference(rename_variables,[],[3430])).
% 190.85/190.75 cnf(13222,plain,
% 190.85/190.75 (P1(f836(f836(f224(a899),x132221),x132221))),
% 190.85/190.75 inference(rename_variables,[],[3429])).
% 190.85/190.75 cnf(13229,plain,
% 190.85/190.75 (E(f836(f836(f16(x132291,x132292),x132293),x132294),x132293)),
% 190.85/190.75 inference(rename_variables,[],[3420])).
% 190.85/190.75 cnf(13232,plain,
% 190.85/190.75 (P1(f836(f836(f224(f906(x132321,a895)),f836(f162(x132321),f166(x132321,x132322,x132323))),f836(f162(x132321),x132322)))),
% 190.85/190.75 inference(rename_variables,[],[4113])).
% 190.85/190.75 cnf(13239,plain,
% 190.85/190.75 (~P1(f836(f836(f225(a899),x132391),f2(a899)))),
% 190.85/190.75 inference(rename_variables,[],[4609])).
% 190.85/190.75 cnf(13240,plain,
% 190.85/190.75 (P1(f836(f836(f224(a1),x132401),x132401))),
% 190.85/190.75 inference(rename_variables,[],[3430])).
% 190.85/190.75 cnf(13244,plain,
% 190.85/190.75 (~P1(f836(f836(f225(a899),x132441),f2(a899)))),
% 190.85/190.75 inference(rename_variables,[],[4609])).
% 190.85/190.75 cnf(13245,plain,
% 190.85/190.75 (P1(f836(f836(f224(a1),x132451),x132451))),
% 190.85/190.75 inference(rename_variables,[],[3430])).
% 190.85/190.75 cnf(13249,plain,
% 190.85/190.75 (~P1(f836(f836(f224(f906(a899,a895)),f293(a899,f836(a102,x132491),f836(a102,x132491))),f293(a899,x132492,x132491)))),
% 190.85/190.75 inference(scs_inference,[],[4081,12692,12714,12849,12851,3664,11310,12363,12466,12469,12560,12602,12606,12614,12686,12824,3674,12433,12860,12862,3681,3399,12882,12884,12886,3400,12910,3366,12768,4591,4592,11948,4354,12898,3403,12890,3242,3299,12814,3300,12838,3301,3302,3303,12642,12807,4590,3723,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,12429,12595,12656,3484,3448,12894,3632,12124,3350,4578,10626,10726,11190,3040,3042,3043,3047,3048,3051,3052,3053,3054,3056,3057,3058,3066,3076,3080,3083,3086,3092,3095,3102,3105,3108,3109,3111,3113,3116,3120,3121,3137,3141,3142,3143,3153,3165,3166,3177,3180,3185,3186,3187,3188,3192,3193,3197,3198,3199,3200,3201,3211,3221,4569,3226,3298,4570,3762,3987,11886,3275,11596,3411,3387,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,12335,12536,12746,12798,12800,12805,12812,12818,12820,12842,12858,12880,12924,3361,12627,12631,12635,3367,3376,3882,4183,3344,13195,3495,12689,12771,3265,3626,3973,11642,3329,3261,3289,3742,3284,3483,4090,3981,3804,3270,3252,3894,3309,3485,11037,11164,12430,12646,3360,4055,4585,10457,10623,11495,12587,12628,12632,4588,12599,3420,11968,11971,4013,4614,11216,11315,11551,11554,3823,3533,3748,4594,3499,12874,12928,3324,10527,10856,3325,3585,3317,3243,3346,11632,4197,12617,12758,4057,11236,11367,11426,12571,12577,12703,12706,12736,4633,11139,11380,11489,11515,11559,11565,12516,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,12472,12513,12598,3788,3573,4468,4469,3645,4583,11625,3766,3725,3768,3937,3692,13115,13119,13123,13127,13137,3983,12463,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,12404,12740,12996,13034,13037,13098,3875,11872,3413,3508,11701,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,12519,12621,12942,12961,12964,12988,13038,13211,13216,13239,4621,11744,11775,11812,11819,11852,13047,13051,3862,3633,3634,12967,12970,12973,12976,13006,4005,3458,3459,3432,4606,3323,4580,3814,4119,3617,4622,4190,11512,3747,3469,11989,11992,12437,12540,12717,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,12060,4159,4118,12141,12487,4066,10874,12497,4113,11239,12360,12436,12496,12539,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,12382,12651,12713,12733,12743,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,12480,12543,12662,12709,12989,13012,13070,13090,13101,13106,13109,13112,13145,13156,13169,13222,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,12246,13003,13149,13172,13212,13217,13240,3431,12407,12410,3504,12352,13067,13116,13120,13124,13128,13138,13142,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,12451,12546,12549,12655,12695,12780,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,12594,12783,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,12378,12525,12568,12574,12674,12677,12699,12757,12763,12774,12790,13066,13082,13085,3489,10853,10886,10895,10898,10901,11481,12696,12710,13048,13052,13055,13058,3529,3522,3941,3880,10506,11875,11903,13029,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,3450,10889,11042,11112,11904,12053,12251,12456,12481,3904,11995,12983,4238,3639,4610,3915,3949,4597,4600,4601,3406,3410,4599,4598,4361,3737,4332,11727,4627,10752,10755,4632,11225,11228,11414,11525,11542,11588,4023,11585,11924,11928,12605,12613,12702,3870,11155,11161,11179,12173,12303,12381,3721,11295,11417,12413,12522,12531,12610,12665,12673,12787,4195,3872,10892,11258,11423,11457,11468,12609,3581,3690,10805,10808,10904,11068,3689,4630,11869,4626,12951,3667,4631,10645,10758,12475,12484,12528,12727,4293,11028,12493,4201,3903,12793,3848,3849,4628,10479,10482,10847,10850,11741,11929,12739,4629,11849,11934,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5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7961,7999,8000,8078,8118,8172,8194,8195,8272,8367,8438,8439,8443,8477,8513,8539,8540,8607,8625])).
% 190.85/190.75 cnf(13250,plain,
% 190.85/190.75 (P1(f836(f836(f224(a899),x132501),x132501))),
% 190.85/190.75 inference(rename_variables,[],[3429])).
% 190.85/190.75 cnf(13252,plain,
% 190.85/190.75 (~P1(f836(f836(f225(f906(a899,a895)),f293(a899,f836(a102,x132521),f836(a102,x132521))),f293(a899,x132522,x132521)))),
% 190.85/190.75 inference(scs_inference,[],[4081,12692,12714,12849,12851,3664,11310,12363,12466,12469,12560,12602,12606,12614,12686,12824,3674,12433,12860,12862,3681,3399,12882,12884,12886,3400,12910,3366,12768,4591,4592,11948,4354,12898,3403,12890,3242,3299,12814,3300,12838,3301,3302,3303,12642,12807,4590,3723,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,12429,12595,12656,3484,3448,12894,3632,12124,3350,4578,10626,10726,11190,3040,3042,3043,3047,3048,3051,3052,3053,3054,3056,3057,3058,3066,3076,3080,3083,3086,3092,3095,3102,3105,3108,3109,3111,3113,3116,3120,3121,3137,3141,3142,3143,3153,3165,3166,3177,3180,3185,3186,3187,3188,3192,3193,3197,3198,3199,3200,3201,3211,3221,4569,3226,3298,4570,3762,3987,11886,3275,11596,3411,3387,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,12335,12536,12746,12798,12800,12805,12812,12818,12820,12842,12858,12880,12924,3361,12627,12631,12635,3367,3376,3882,4183,3344,13195,3495,12689,12771,3265,3626,3973,11642,3329,3261,3289,3742,3284,3483,4090,3981,3804,3270,3252,3894,3309,3485,11037,11164,12430,12646,3360,4055,4585,10457,10623,11495,12587,12628,12632,4588,12599,3420,11968,11971,4013,4614,11216,11315,11551,11554,3823,3533,3748,4594,3499,12874,12928,3324,10527,10856,3325,3585,3317,3243,3346,11632,4197,12617,12758,4057,11236,11367,11426,12571,12577,12703,12706,12736,4633,11139,11380,11489,11515,11559,11565,12516,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,12472,12513,12598,3788,3573,4468,4469,3645,4583,11625,3766,3725,3768,3937,3692,13115,13119,13123,13127,13137,3983,12463,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,12404,12740,12996,13034,13037,13098,3875,11872,3413,3508,11701,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,12519,12621,12942,12961,12964,12988,13038,13211,13216,13239,4621,11744,11775,11812,11819,11852,13047,13051,3862,3633,3634,12967,12970,12973,12976,13006,4005,3458,3459,3432,4606,3323,4580,3814,4119,3617,4622,4190,11512,3747,3469,11989,11992,12437,12540,12717,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,12060,4159,4118,12141,12487,4066,10874,12497,4113,11239,12360,12436,12496,12539,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,12382,12651,12713,12733,12743,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,12480,12543,12662,12709,12989,13012,13070,13090,13101,13106,13109,13112,13145,13156,13169,13222,13250,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,12246,13003,13149,13172,13212,13217,13240,3431,12407,12410,3504,12352,13067,13116,13120,13124,13128,13138,13142,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,12451,12546,12549,12655,12695,12780,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,12594,12783,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,12378,12525,12568,12574,12674,12677,12699,12757,12763,12774,12790,13066,13082,13085,3489,10853,10886,10895,10898,10901,11481,12696,12710,13048,13052,13055,13058,3529,3522,3941,3880,10506,11875,11903,13029,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,3450,10889,11042,11112,11904,12053,12251,12456,12481,3904,11995,12983,4238,3639,4610,3915,3949,4597,4600,4601,3406,3410,4599,4598,4361,3737,4332,11727,4627,10752,10755,4632,11225,11228,11414,11525,11542,11588,4023,11585,11924,11928,12605,12613,12702,3870,11155,11161,11179,12173,12303,12381,3721,11295,11417,12413,12522,12531,12610,12665,12673,12787,4195,3872,10892,11258,11423,11457,11468,12609,3581,3690,10805,10808,10904,11068,3689,4630,11869,4626,12951,3667,4631,10645,10758,12475,12484,12528,12727,4293,11028,12493,4201,3903,12793,3848,3849,4628,10479,10482,10847,10850,11741,11929,12739,4629,11849,11934,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500,6513,6534,6540,6542,6557,6558,6562,6564,6565,6566,6568,6570,6571,6572,6579,6585,6586,6588,6589,6595,6597,6639,6645,6660,6664,6665,6666,6700,6705,6707,6712,6713,6723,6727,6741,6764,6765,6767,6768,6779,6784,6804,6807,6829,6849,6862,6863,6864,6870,6884,6903,6905,6907,6909,6914,6920,6922,6936,6941,6942,6979,6980,6981,6998,6999,7001,7002,7022,7024,7039,7067,7090,7101,7103,7105,7107,7108,7139,7140,7141,7145,7146,7154,7156,7157,7158,7180,7189,7190,7201,7211,7251,7261,7267,7274,7285,7290,7292,7299,7319,7336,7357,7359,7378,7433,7434,7435,7437,7439,7443,7444,7449,7513,7541,7556,7571,7602,7606,7629,7654,7672,7675,7676,7686,7706,7708,7710,7712,7713,7714,7715,7716,7741,7767,7768,7800,7802,7803,7804,7810,7831,7848,7853,7859,7861,7869,7882,7883,7885,7906,7913,7934,8002,8003,8004,8052,8058,8059,8082,8083,8100,8101,8102,8159,8160,8189,8219,8228,8242,8257,8286,8290,8296,8308,8326,8331,8354,8399,8428,8442,8462,8465,8491,8517,8575,8576,8579,8580,8649,8683,8684,8685,8686,8713,8745,8774,8782,8783,8824,8845,8890,8906,8952,8955,8970,8977,9019,9058,9059,9077,9078,9092,9210,9215,9219,9239,9250,9273,9275,9278,9284,9286,9287,9298,9299,9318,9326,9337,9345,9390,9408,9463,9464,9470,9509,9534,9539,9579,9593,9597,9598,9602,9603,9616,9639,9654,9663,9664,9666,9668,9697,9817,9818,9867,9868,9907,9942,10052,10119,10275,10293,10298,3,2765,2767,2768,2769,2770,2771,2773,2774,2777,2781,2782,2787,2788,2794,2795,2796,2797,2798,2802,2803,2804,2808,2809,2814,2815,2822,2826,2827,2829,2830,2834,2843,2844,2845,2846,2847,2848,2850,2852,2853,2855,2856,2857,2866,2872,2873,2874,2896,2897,2898,2904,2905,2906,2910,2920,2922,2936,2937,2941,2944,2945,2946,2947,2949,2966,2967,2968,2969,2970,2972,2973,2974,2985,2986,2988,3012,3013,3015,3016,3030,5348,5390,5539,5540,5541,5623,5722,5752,5786,5802,5804,5810,5872,5873,5874,5875,5892,5927,6065,6104,6114,6138,6172,6210,6364,6369,6410,6411,6434,6436,6438,6445,6446,6447,6448,6449,6450,6451,6452,6535,6609,6610,6699,6736,6737,6776,6777,6921,6935,6991,7011,7012,7018,7040,7073,7075,7079,7123,7143,7144,7162,7163,7200,7245,7246,7343,7412,7413,7414,7415,7432,7465,7518,7519,7527,7532,7533,7544,7574,7575,7576,7577,7722,7723,7725,7727,7733,7734,7808,7940,7943,7949,7950,7961,7999,8000,8078,8118,8172,8194,8195,8272,8367,8438,8439,8443,8477,8513,8539,8540,8607,8625,8626])).
% 190.85/190.75 cnf(13253,plain,
% 190.85/190.75 (P1(f836(f836(f224(a899),x132531),x132531))),
% 190.85/190.75 inference(rename_variables,[],[3429])).
% 190.85/190.75 cnf(13256,plain,
% 190.85/190.75 (~P1(f836(f836(f224(a899),f836(a102,x132561)),x132561))),
% 190.85/190.75 inference(rename_variables,[],[4613])).
% 190.85/190.75 cnf(13261,plain,
% 190.85/190.75 (E(x132611,f446(f836(f5(x132612),f836(f5(x132612),x132611)),f5(x132612),x132612,x132612))),
% 190.85/190.75 inference(scs_inference,[],[4081,12692,12714,12849,12851,3664,11310,12363,12466,12469,12560,12602,12606,12614,12686,12824,12826,3674,12433,12860,12862,3681,3399,12882,12884,12886,3400,12910,3366,12768,4591,4592,11948,4354,12898,3403,12890,3242,3299,12814,3300,12838,3301,3302,3303,12642,12807,4590,3723,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,12429,12595,12656,3484,3448,12894,3632,12124,3350,4578,10626,10726,11190,3040,3042,3043,3047,3048,3051,3052,3053,3054,3056,3057,3058,3066,3076,3080,3083,3086,3092,3095,3102,3105,3108,3109,3111,3113,3116,3120,3121,3137,3141,3142,3143,3153,3165,3166,3177,3180,3185,3186,3187,3188,3192,3193,3197,3198,3199,3200,3201,3211,3221,4569,3226,3298,4570,3762,3987,11886,3275,11596,3411,3387,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,12335,12536,12746,12798,12800,12805,12812,12818,12820,12842,12858,12880,12924,3361,12627,12631,12635,3367,3376,3882,4183,3344,13195,3495,12689,12771,3264,3265,3626,3973,11642,3329,3261,3289,3742,3284,3483,4090,3981,3804,3270,3252,3894,3309,3485,11037,11164,12430,12646,3360,4055,4585,10457,10623,11495,12587,12628,12632,4588,12599,3420,11968,11971,4013,4614,11216,11315,11551,11554,3823,3533,3748,4594,3499,12874,12928,3324,10527,10856,3325,3585,3317,3243,3346,11632,4197,12617,12758,4057,11236,11367,11426,12571,12577,12703,12706,12736,4633,11139,11380,11489,11515,11559,11565,12516,4634,11269,11383,11492,4635,11386,4636,11444,4637,3345,3624,12472,12513,12598,3788,3573,4468,4469,3645,4583,11625,3766,3725,3768,3937,3692,13115,13119,13123,13127,13137,3983,12463,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,12404,12740,12996,13034,13037,13098,3875,11872,3413,3508,11701,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,12519,12621,12942,12961,12964,12988,13038,13211,13216,13239,4621,11744,11775,11812,11819,11852,13047,13051,3862,3633,3634,12967,12970,12973,12976,13006,4005,3458,3459,3432,4606,3323,4580,3814,4119,3617,4622,4190,11512,3747,3469,11989,11992,12437,12540,12717,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,12060,4159,4118,12141,12487,4066,10874,12497,4113,11239,12360,12436,12496,12539,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,12382,12651,12713,12733,12743,4625,10988,11391,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,12480,12543,12662,12709,12989,13012,13070,13090,13101,13106,13109,13112,13145,13156,13169,13222,13250,13253,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,12246,13003,13149,13172,13212,13217,13240,3431,12407,12410,3504,12352,13067,13116,13120,13124,13128,13138,13142,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,12451,12546,12549,12655,12695,12780,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,12594,12783,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,12378,12525,12568,12574,12674,12677,12699,12757,12763,12774,12790,13066,13082,13085,3489,10853,10886,10895,10898,10901,11481,12696,12710,13048,13052,13055,13058,3529,3522,3941,3880,10506,11875,11903,13029,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,13256,3450,10889,11042,11112,11904,12053,12251,12456,12481,3904,11995,12983,4238,3639,4610,3915,3949,4597,4600,4601,3406,3410,4599,4598,4361,3737,4332,11727,4627,10752,10755,4632,11225,11228,11414,11525,11542,11588,4023,11585,11924,11928,12605,12613,12702,13198,3870,11155,11161,11179,12173,12303,12381,3721,11295,11417,12413,12522,12531,12610,12665,12673,12787,4195,3872,10892,11258,11423,11457,11468,12609,3581,3690,10805,10808,10904,11068,3689,4630,11869,4626,12951,3667,4631,10645,10758,12475,12484,12528,12727,4293,11028,12493,4201,3903,12793,3848,3849,4628,10479,10482,10847,10850,11741,11929,12739,4629,11849,11934,3873,10811,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500,6513,6534,6540,6542,6557,6558,6562,6564,6565,6566,6568,6570,6571,6572,6579,6585,6586,6588,6589,6595,6597,6639,6645,6660,6664,6665,6666,6700,6705,6707,6712,6713,6723,6727,6741,6764,6765,6767,6768,6779,6784,6804,6807,6829,6849,6862,6863,6864,6870,6884,6903,6905,6907,6909,6914,6920,6922,6936,6941,6942,6979,6980,6981,6998,6999,7001,7002,7022,7024,7039,7067,7090,7101,7103,7105,7107,7108,7139,7140,7141,7145,7146,7154,7156,7157,7158,7180,7189,7190,7201,7211,7251,7261,7267,7274,7285,7290,7292,7299,7319,7336,7357,7359,7378,7433,7434,7435,7437,7439,7443,7444,7449,7513,7541,7556,7571,7602,7606,7629,7654,7672,7675,7676,7686,7706,7708,7710,7712,7713,7714,7715,7716,7741,7767,7768,7800,7802,7803,7804,7810,7831,7848,7853,7859,7861,7869,7882,7883,7885,7906,7913,7934,8002,8003,8004,8052,8058,8059,8082,8083,8100,8101,8102,8159,8160,8189,8219,8228,8242,8257,8286,8290,8296,8308,8326,8331,8354,8399,8428,8442,8462,8465,8491,8517,8575,8576,8579,8580,8649,8683,8684,8685,8686,8713,8745,8774,8782,8783,8824,8845,8890,8906,8952,8955,8970,8977,9019,9058,9059,9077,9078,9092,9210,9215,9219,9239,9250,9273,9275,9278,9284,9286,9287,9298,9299,9318,9326,9337,9345,9390,9408,9463,9464,9470,9509,9534,9539,9579,9593,9597,9598,9602,9603,9616,9639,9654,9663,9664,9666,9668,9697,9817,9818,9867,9868,9907,9942,10052,10119,10275,10293,10298,3,2765,2767,2768,2769,2770,2771,2773,2774,2777,2781,2782,2787,2788,2794,2795,2796,2797,2798,2802,2803,2804,2808,2809,2814,2815,2822,2826,2827,2829,2830,2834,2843,2844,2845,2846,2847,2848,2850,2852,2853,2855,2856,2857,2866,2872,2873,2874,2896,2897,2898,2904,2905,2906,2910,2920,2922,2936,2937,2941,2944,2945,2946,2947,2949,2966,2967,2968,2969,2970,2972,2973,2974,2985,2986,2988,3012,3013,3015,3016,3030,5348,5390,5539,5540,5541,5623,5722,5752,5786,5802,5804,5810,5872,5873,5874,5875,5892,5927,6065,6104,6114,6138,6172,6210,6364,6369,6410,6411,6434,6436,6438,6445,6446,6447,6448,6449,6450,6451,6452,6535,6609,6610,6699,6736,6737,6776,6777,6921,6935,6991,7011,7012,7018,7040,7073,7075,7079,7123,7143,7144,7162,7163,7200,7245,7246,7343,7412,7413,7414,7415,7432,7465,7518,7519,7527,7532,7533,7544,7574,7575,7576,7577,7722,7723,7725,7727,7733,7734,7808,7940,7943,7949,7950,7961,7999,8000,8078,8118,8172,8194,8195,8272,8367,8438,8439,8443,8477,8513,8539,8540,8607,8625,8626,8627,8628,8778])).
% 190.85/190.75 cnf(13262,plain,
% 190.85/190.75 (P1(f836(f836(f318(x132621),f836(x132622,x132623)),f836(f300(x132624,x132621,x132622),f232(f906(x132624,a895)))))),
% 190.85/190.75 inference(rename_variables,[],[4023])).
% 190.85/190.75 cnf(13263,plain,
% 190.85/190.75 (P24(x132631,x132631,f5(x132631),x132632)),
% 190.85/190.75 inference(rename_variables,[],[3664])).
% 190.85/190.75 cnf(13268,plain,
% 190.85/190.75 (P1(f836(f836(f224(f906(x132681,a895)),x132682),f232(f906(x132681,a895))))),
% 190.85/190.75 inference(rename_variables,[],[3806])).
% 190.85/190.75 cnf(13269,plain,
% 190.85/190.75 (P24(x132691,x132691,f5(x132691),x132692)),
% 190.85/190.75 inference(rename_variables,[],[3664])).
% 190.85/190.75 cnf(13273,plain,
% 190.85/190.75 (P1(f836(f836(f224(f906(x132731,a895)),x132732),f232(f906(x132731,a895))))),
% 190.85/190.75 inference(rename_variables,[],[3806])).
% 190.85/190.75 cnf(13274,plain,
% 190.85/190.75 (P24(x132741,x132741,f5(x132741),x132742)),
% 190.85/190.75 inference(rename_variables,[],[3664])).
% 190.85/190.75 cnf(13278,plain,
% 190.85/190.75 (P24(x132781,x132781,f5(x132781),x132782)),
% 190.85/190.75 inference(rename_variables,[],[3664])).
% 190.85/190.75 cnf(13281,plain,
% 190.85/190.75 (~P1(f836(f836(f225(f906(x132811,a895)),x132812),f178(f906(x132811,a895))))),
% 190.85/190.75 inference(rename_variables,[],[4625])).
% 190.85/190.75 cnf(13284,plain,
% 190.85/190.75 (P24(x132841,x132841,f5(x132841),x132842)),
% 190.85/190.75 inference(rename_variables,[],[3664])).
% 190.85/190.75 cnf(13287,plain,
% 190.85/190.75 (P24(x132871,x132871,f5(x132871),x132872)),
% 190.85/190.75 inference(rename_variables,[],[3664])).
% 190.85/190.75 cnf(13293,plain,
% 190.85/190.75 (P1(f836(f836(f224(f906(x132931,a895)),x132932),f232(f906(x132931,a895))))),
% 190.85/190.75 inference(rename_variables,[],[3806])).
% 190.85/190.75 cnf(13298,plain,
% 190.85/190.75 (P1(f836(f836(f224(f906(x132981,a895)),f178(f906(x132981,a895))),x132982))),
% 190.85/190.75 inference(rename_variables,[],[3872])).
% 190.85/190.75 cnf(13302,plain,
% 190.85/190.75 (E(f836(f274(x133021,x133021),f253(x133021,x133022)),x133022)),
% 190.85/190.75 inference(rename_variables,[],[3390])).
% 190.85/190.75 cnf(13306,plain,
% 190.85/190.75 (~P1(f836(f836(f318(x133061),x133062),f178(f906(x133061,a895))))),
% 190.85/190.75 inference(rename_variables,[],[4617])).
% 190.85/190.75 cnf(13311,plain,
% 190.85/190.75 (P24(x133111,x133111,f5(x133111),x133112)),
% 190.85/190.75 inference(rename_variables,[],[3664])).
% 190.85/190.75 cnf(13314,plain,
% 190.85/190.75 (P1(f836(f836(f224(f906(x133141,a895)),x133142),f232(f906(x133141,a895))))),
% 190.85/190.75 inference(rename_variables,[],[3806])).
% 190.85/190.75 cnf(13322,plain,
% 190.85/190.75 (E(f836(f836(f16(x133221,x133222),x133223),x133224),x133223)),
% 190.85/190.75 inference(rename_variables,[],[3420])).
% 190.85/190.75 cnf(13325,plain,
% 190.85/190.75 (~P1(f836(f836(f318(x133251),x133252),f178(f906(x133251,a895))))),
% 190.85/190.75 inference(rename_variables,[],[4617])).
% 190.85/190.75 cnf(13328,plain,
% 190.85/190.75 (~P1(f836(f836(f318(x133281),x133282),f178(f906(x133281,a895))))),
% 190.85/190.75 inference(rename_variables,[],[4617])).
% 190.85/190.75 cnf(13333,plain,
% 190.85/190.75 (~E(f836(a102,x133331),x133331)),
% 190.85/190.75 inference(rename_variables,[],[4572])).
% 190.85/190.75 cnf(13336,plain,
% 190.85/190.75 (P1(f836(f836(f225(a899),x133361),f836(a102,x133361)))),
% 190.85/190.75 inference(rename_variables,[],[3496])).
% 190.85/190.75 cnf(13337,plain,
% 190.85/190.75 (~E(f836(a102,x133371),x133371)),
% 190.85/190.75 inference(rename_variables,[],[4572])).
% 190.85/190.75 cnf(13340,plain,
% 190.85/190.75 (P1(f836(f836(f225(a899),x133401),f836(a102,f836(f836(f74(a899),x133402),x133401))))),
% 190.85/190.75 inference(rename_variables,[],[3873])).
% 190.85/190.75 cnf(13341,plain,
% 190.85/190.75 (P1(f836(f836(f225(a899),x133411),f836(a102,x133411)))),
% 190.85/190.75 inference(rename_variables,[],[3496])).
% 190.85/190.75 cnf(13343,plain,
% 190.85/190.75 (~E(f836(f836(f75(a899),f836(a102,f2(a899))),f109(x133431)),f836(f836(f75(a899),f836(a102,f2(a899))),f116(x133431,x133432,x133433)))),
% 190.85/190.75 inference(scs_inference,[],[4081,12692,12714,12849,12851,12853,3664,11310,12363,12466,12469,12560,12602,12606,12614,12686,12824,12826,13263,13269,13274,13278,13284,13287,3674,12433,12860,12862,3681,3399,12882,12884,12886,3400,12910,3366,12768,4591,4592,11948,4354,12898,3403,12890,3242,3299,12814,3300,12838,3301,3302,3303,12642,12807,4590,3723,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,12429,12595,12656,12796,13333,13337,3484,3448,12894,3632,12124,3350,4578,10626,10726,11190,3040,3042,3043,3047,3048,3051,3052,3053,3054,3056,3057,3058,3066,3076,3080,3083,3086,3092,3095,3102,3105,3108,3109,3111,3113,3116,3120,3121,3137,3141,3142,3143,3153,3165,3166,3177,3180,3185,3186,3187,3188,3192,3193,3197,3198,3199,3200,3201,3211,3221,4569,3226,3298,4570,3762,3987,11886,3275,11596,3411,3387,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,12335,12536,12746,12798,12800,12805,12812,12818,12820,12842,12858,12880,12924,13132,3361,12627,12631,12635,3367,3376,3882,4183,3344,13195,3495,12689,12771,3264,3265,3626,3973,11642,3329,3261,3289,3742,3284,3483,4090,3981,3804,3270,3252,3894,3309,3485,11037,11164,12430,12646,3360,4055,4585,10457,10623,11495,12587,12628,12632,4588,12599,3420,11968,11971,13229,4013,4614,11216,11315,11551,11554,3395,3823,3415,3533,3748,4594,3499,12874,12928,3324,10527,10856,3325,4603,3585,3317,3243,3346,11632,4197,12617,12758,4057,11236,11367,11426,12571,12577,12703,12706,12736,4633,11139,11380,11489,11515,11559,11565,12516,4634,11269,11383,11492,4635,11386,11437,4636,11444,4637,3345,3624,12472,12513,12598,3788,3573,4468,4469,3645,4583,11625,3766,3725,3768,3937,3692,13115,13119,13123,13127,13137,3983,12463,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,12404,12740,12996,13034,13037,13098,13336,3875,11872,3413,3508,11701,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,12519,12621,12942,12961,12964,12988,13038,13211,13216,13239,4621,11744,11775,11812,11819,11852,13047,13051,3862,3633,3634,12967,12970,12973,12976,13006,4005,3458,3459,3432,4606,3323,4580,3814,4119,3617,4622,4190,11512,3747,3469,11989,11992,12437,12540,12717,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,12060,4159,4118,12141,12487,4066,10874,12497,4113,11239,12360,12436,12496,12539,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,12382,12651,12713,12733,12743,13202,13268,13273,13293,4625,10988,11391,12500,13281,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,12480,12543,12662,12709,12989,13012,13070,13090,13101,13106,13109,13112,13145,13156,13169,13222,13250,13253,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,12246,13003,13149,13172,13212,13217,13240,3431,12407,12410,3504,12352,13067,13116,13120,13124,13128,13138,13142,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,12451,12546,12549,12655,12695,12780,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,12594,12783,13194,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,12378,12525,12568,12574,12674,12677,12699,12757,12763,12774,12790,13066,13082,13085,13183,13306,13325,3489,10853,10886,10895,10898,10901,11481,12696,12710,13048,13052,13055,13058,3529,3522,3941,3880,10506,11875,11903,13029,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,13256,3450,10889,11042,11112,11904,12053,12251,12456,12481,3904,11995,12983,4238,3639,4610,3915,3949,4597,4600,4601,3406,3410,4599,4598,4361,3737,11868,4332,11727,4627,10752,10755,4632,11225,11228,11414,11525,11542,11588,4023,11585,11924,11928,12605,12613,12702,13198,13262,3870,11155,11161,11179,12173,12303,12381,12670,3721,11295,11417,12413,12522,12531,12610,12665,12673,12787,4195,3872,10892,11258,11423,11457,11468,12609,12659,3581,3690,10805,10808,10904,11068,3689,4630,11869,4626,12951,3667,4631,10645,10758,12475,12484,12528,12727,4293,11028,12493,12508,4201,3903,12793,3848,3849,4628,10479,10482,10847,10850,11741,11929,12739,4629,11849,11934,3873,10811,11074,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500,6513,6534,6540,6542,6557,6558,6562,6564,6565,6566,6568,6570,6571,6572,6579,6585,6586,6588,6589,6595,6597,6639,6645,6660,6664,6665,6666,6700,6705,6707,6712,6713,6723,6727,6741,6764,6765,6767,6768,6779,6784,6804,6807,6829,6849,6862,6863,6864,6870,6884,6903,6905,6907,6909,6914,6920,6922,6936,6941,6942,6979,6980,6981,6998,6999,7001,7002,7022,7024,7039,7067,7090,7101,7103,7105,7107,7108,7139,7140,7141,7145,7146,7154,7156,7157,7158,7180,7189,7190,7201,7211,7251,7261,7267,7274,7285,7290,7292,7299,7319,7336,7357,7359,7378,7433,7434,7435,7437,7439,7443,7444,7449,7513,7541,7556,7571,7602,7606,7629,7654,7672,7675,7676,7686,7706,7708,7710,7712,7713,7714,7715,7716,7741,7767,7768,7800,7802,7803,7804,7810,7831,7848,7853,7859,7861,7869,7882,7883,7885,7906,7913,7934,8002,8003,8004,8052,8058,8059,8082,8083,8100,8101,8102,8159,8160,8189,8219,8228,8242,8257,8286,8290,8296,8308,8326,8331,8354,8399,8428,8442,8462,8465,8491,8517,8575,8576,8579,8580,8649,8683,8684,8685,8686,8713,8745,8774,8782,8783,8824,8845,8890,8906,8952,8955,8970,8977,9019,9058,9059,9077,9078,9092,9210,9215,9219,9239,9250,9273,9275,9278,9284,9286,9287,9298,9299,9318,9326,9337,9345,9390,9408,9463,9464,9470,9509,9534,9539,9579,9593,9597,9598,9602,9603,9616,9639,9654,9663,9664,9666,9668,9697,9817,9818,9867,9868,9907,9942,10052,10119,10275,10293,10298,3,2765,2767,2768,2769,2770,2771,2773,2774,2777,2781,2782,2787,2788,2794,2795,2796,2797,2798,2802,2803,2804,2808,2809,2814,2815,2822,2826,2827,2829,2830,2834,2843,2844,2845,2846,2847,2848,2850,2852,2853,2855,2856,2857,2866,2872,2873,2874,2896,2897,2898,2904,2905,2906,2910,2920,2922,2936,2937,2941,2944,2945,2946,2947,2949,2966,2967,2968,2969,2970,2972,2973,2974,2985,2986,2988,3012,3013,3015,3016,3030,5348,5390,5539,5540,5541,5623,5722,5752,5786,5802,5804,5810,5872,5873,5874,5875,5892,5927,6065,6104,6114,6138,6172,6210,6364,6369,6410,6411,6434,6436,6438,6445,6446,6447,6448,6449,6450,6451,6452,6535,6609,6610,6699,6736,6737,6776,6777,6921,6935,6991,7011,7012,7018,7040,7073,7075,7079,7123,7143,7144,7162,7163,7200,7245,7246,7343,7412,7413,7414,7415,7432,7465,7518,7519,7527,7532,7533,7544,7574,7575,7576,7577,7722,7723,7725,7727,7733,7734,7808,7940,7943,7949,7950,7961,7999,8000,8078,8118,8172,8194,8195,8272,8367,8438,8439,8443,8477,8513,8539,8540,8607,8625,8626,8627,8628,8778,9036,9037,9106,9120,9174,9175,9295,9330,9357,9392,9433,9637,9760,9902,10088,10144,10146,5962,6518,6519,6612])).
% 190.85/190.75 cnf(13350,plain,
% 190.85/190.75 (P1(f836(f836(f224(a1),f2(a1)),f836(f90(a1),x133501)))),
% 190.85/190.75 inference(rename_variables,[],[3529])).
% 190.85/190.75 cnf(13353,plain,
% 190.85/190.75 (P1(f836(f836(f224(a899),f2(a899)),x133531))),
% 190.85/190.75 inference(rename_variables,[],[3450])).
% 190.85/190.75 cnf(13357,plain,
% 190.85/190.75 (~E(f836(a102,x133571),f2(a899))),
% 190.85/190.75 inference(rename_variables,[],[4578])).
% 190.85/190.75 cnf(13360,plain,
% 190.85/190.75 (P1(f836(f836(f224(f906(x133601,a895)),f836(f162(x133601),f166(x133601,x133602,x133603))),f836(f162(x133601),x133602)))),
% 190.85/190.75 inference(rename_variables,[],[4113])).
% 190.85/190.75 cnf(13365,plain,
% 190.85/190.75 (~P1(f836(f836(f318(x133651),x133652),f178(f906(x133651,a895))))),
% 190.85/190.75 inference(rename_variables,[],[4617])).
% 190.85/190.75 cnf(13368,plain,
% 190.85/190.75 (P1(f836(f29(a899),f295(a899,x133681,x133682)))),
% 190.85/190.75 inference(rename_variables,[],[3634])).
% 190.85/190.75 cnf(13369,plain,
% 190.85/190.75 (E(f836(f836(f228(a899),f836(a102,x133691)),f836(a102,x133692)),f836(a102,f836(f836(f228(a899),x133691),x133692)))),
% 190.85/190.75 inference(rename_variables,[],[3598])).
% 190.85/190.75 cnf(13372,plain,
% 190.85/190.75 (P1(f836(f29(a899),f295(a899,x133721,x133722)))),
% 190.85/190.75 inference(rename_variables,[],[3634])).
% 190.85/190.75 cnf(13373,plain,
% 190.85/190.75 (E(f836(f836(f223(a899),f836(a102,x133731)),f836(a102,x133732)),f836(a102,f836(f836(f223(a899),x133731),x133732)))),
% 190.85/190.75 inference(rename_variables,[],[3599])).
% 190.85/190.75 cnf(13376,plain,
% 190.85/190.75 (P1(f836(f29(a899),f295(a899,x133761,x133762)))),
% 190.85/190.75 inference(rename_variables,[],[3634])).
% 190.85/190.75 cnf(13385,plain,
% 190.85/190.75 (~P1(f836(f836(f318(x133851),x133852),f178(f906(x133851,a895))))),
% 190.85/190.75 inference(rename_variables,[],[4617])).
% 190.85/190.75 cnf(13386,plain,
% 190.85/190.75 (E(f836(f836(f16(x133861,x133862),x133863),x133864),x133863)),
% 190.85/190.75 inference(rename_variables,[],[3420])).
% 190.85/190.75 cnf(13389,plain,
% 190.85/190.75 (P1(f836(f836(f224(f906(x133891,a895)),f836(f162(x133891),f836(f126(x133891,x133892),x133893))),f836(f162(x133891),x133893)))),
% 190.85/190.75 inference(rename_variables,[],[4066])).
% 190.85/190.75 cnf(13390,plain,
% 190.85/190.75 (E(f836(f836(f16(x133901,x133902),x133903),x133904),x133903)),
% 190.85/190.75 inference(rename_variables,[],[3420])).
% 190.85/190.75 cnf(13393,plain,
% 190.85/190.75 (P1(f836(f836(f224(f906(x133931,a895)),f836(f162(x133931),f836(f836(f165(x133931),x133932),x133933))),f836(f162(x133931),x133933)))),
% 190.85/190.75 inference(rename_variables,[],[4108])).
% 190.85/190.75 cnf(13394,plain,
% 190.85/190.75 (E(f836(f836(f16(x133941,x133942),x133943),x133944),x133943)),
% 190.85/190.75 inference(rename_variables,[],[3420])).
% 190.85/190.75 cnf(13398,plain,
% 190.85/190.75 (E(f836(f836(f16(x133981,x133982),x133983),x133984),x133983)),
% 190.85/190.75 inference(rename_variables,[],[3420])).
% 190.85/190.75 cnf(13411,plain,
% 190.85/190.75 (P1(f836(f836(f224(a1),f2(a1)),f836(f90(a1),x134111)))),
% 190.85/190.75 inference(rename_variables,[],[3529])).
% 190.85/190.75 cnf(13416,plain,
% 190.85/190.75 (P24(x134161,x134161,f5(x134161),x134162)),
% 190.85/190.75 inference(rename_variables,[],[3664])).
% 190.85/190.75 cnf(13419,plain,
% 190.85/190.75 (~P1(f836(f836(f318(x134191),x134192),f178(f906(x134191,a895))))),
% 190.85/190.75 inference(rename_variables,[],[4617])).
% 190.85/190.75 cnf(13420,plain,
% 190.85/190.75 (E(f836(f274(x134201,x134201),f253(x134201,x134202)),x134202)),
% 190.85/190.75 inference(rename_variables,[],[3390])).
% 190.85/190.75 cnf(13421,plain,
% 190.85/190.75 (P24(x134211,x134211,f5(x134211),x134212)),
% 190.85/190.75 inference(rename_variables,[],[3664])).
% 190.85/190.75 cnf(13425,plain,
% 190.85/190.75 (E(f836(f274(x134251,x134251),f253(x134251,x134252)),x134252)),
% 190.85/190.75 inference(rename_variables,[],[3390])).
% 190.85/190.75 cnf(13430,plain,
% 190.85/190.75 (P1(f836(f836(f225(f906(a1,a895)),f293(a1,f72(a1),f2(a1))),f293(a1,f2(a1),f72(a1))))),
% 190.85/190.75 inference(scs_inference,[],[4081,12692,12714,12849,12851,12853,3664,11310,12363,12466,12469,12560,12602,12606,12614,12686,12824,12826,13263,13269,13274,13278,13284,13287,13311,13416,13421,3674,12433,12860,12862,3681,3399,12882,12884,12886,3400,12910,3366,12768,4591,4592,11948,4354,12898,3403,12890,3242,3299,12814,3300,12838,3301,3302,3303,12642,12807,4590,3723,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,12429,12595,12656,12796,13333,13337,3484,3448,12894,3632,12124,3350,4578,10626,10726,11190,11290,3040,3042,3043,3047,3048,3051,3052,3053,3054,3056,3057,3058,3066,3076,3080,3083,3086,3092,3093,3095,3102,3105,3108,3109,3111,3113,3116,3120,3121,3128,3137,3141,3142,3143,3153,3165,3166,3177,3180,3185,3186,3187,3188,3192,3193,3197,3198,3199,3200,3201,3211,3221,4569,3226,3298,4570,3762,3987,11886,3275,11596,3411,3387,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,12335,12536,12746,12798,12800,12805,12812,12818,12820,12842,12858,12880,12924,13132,13302,13420,3361,12627,12631,12635,3367,3376,3882,4183,3344,13195,3495,12689,12771,3264,3265,3626,3973,11642,3329,3261,3289,3742,3284,3483,4090,3981,3804,3270,3252,3894,3309,3485,11037,11164,12430,12646,3360,4055,4585,10457,10623,11495,12587,12628,12632,4588,12599,3420,11968,11971,13229,13322,13386,13390,13394,13398,4013,4614,11216,11315,11551,11554,3395,3823,3415,3533,3748,3525,4594,3499,12874,12928,3324,10527,10856,3325,4603,3585,3317,3243,3346,11632,4197,12617,12758,4057,11236,11367,11426,12571,12577,12703,12706,12736,4633,11139,11380,11489,11515,11559,11565,12516,4634,11269,11383,11492,4635,11386,11437,4636,11444,4637,3345,3624,12472,12513,12598,3788,3573,4468,4469,3645,4583,11625,3766,3725,3768,3937,3692,13115,13119,13123,13127,13137,3983,12463,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,12404,12740,12996,13034,13037,13098,13336,3875,11872,3413,3508,11701,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,12519,12621,12942,12961,12964,12988,13038,13211,13216,13239,4621,11744,11775,11812,11819,11852,13047,13051,3862,3633,3634,12967,12970,12973,12976,13006,13009,13368,13372,13376,4005,3598,13369,3599,13373,3458,3459,3432,4606,3323,4580,3814,4119,3617,4622,4190,11512,3747,3469,11989,11992,12437,12540,12717,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,12060,4159,4118,12141,12487,4066,10874,12497,12645,13389,4108,13393,4113,11239,12360,12436,12496,12539,13232,13360,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,12382,12651,12713,12733,12743,13202,13268,13273,13293,13314,4625,10988,11391,12500,13281,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,12480,12543,12662,12709,12989,13012,13070,13090,13101,13106,13109,13112,13145,13156,13169,13222,13250,13253,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,12246,13003,13149,13172,13212,13217,13240,3431,12407,12410,3504,12352,13067,13116,13120,13124,13128,13138,13142,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,12451,12546,12549,12655,12695,12780,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,12594,12783,13194,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,12378,12525,12568,12574,12674,12677,12699,12757,12763,12774,12790,13066,13082,13085,13183,13306,13325,13328,13365,13385,13419,3489,10853,10886,10895,10898,10901,11481,12696,12710,13048,13052,13055,13058,3529,13350,3522,3941,3880,10506,11875,11903,13029,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,13256,3450,10889,11042,11112,11904,12053,12251,12456,12481,13079,3904,11995,12983,4238,3639,4610,3915,3949,4597,4600,4601,3406,3410,4599,4598,4361,4405,3737,11868,4332,11727,4627,10752,10755,4632,11225,11228,11414,11525,11542,11588,4023,11585,11924,11928,12605,12613,12702,13198,13262,3870,11155,11161,11179,12173,12303,12381,12670,3721,11295,11417,12413,12522,12531,12610,12665,12673,12787,13205,4195,3872,10892,11258,11423,11457,11468,12609,12659,13298,3581,3690,10805,10808,10904,11068,3689,4630,11869,4626,12951,3667,4631,10645,10758,12475,12484,12528,12727,4293,11028,12493,12508,4201,3903,12793,3848,3849,4628,10479,10482,10847,10850,11741,11929,12739,4629,11849,11934,3873,10811,11074,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500,6513,6534,6540,6542,6557,6558,6562,6564,6565,6566,6568,6570,6571,6572,6579,6585,6586,6588,6589,6595,6597,6639,6645,6660,6664,6665,6666,6700,6705,6707,6712,6713,6723,6727,6741,6764,6765,6767,6768,6779,6784,6804,6807,6829,6849,6862,6863,6864,6870,6884,6903,6905,6907,6909,6914,6920,6922,6936,6941,6942,6979,6980,6981,6998,6999,7001,7002,7022,7024,7039,7067,7090,7101,7103,7105,7107,7108,7139,7140,7141,7145,7146,7154,7156,7157,7158,7180,7189,7190,7201,7211,7251,7261,7267,7274,7285,7290,7292,7299,7319,7336,7357,7359,7378,7433,7434,7435,7437,7439,7443,7444,7449,7513,7541,7556,7571,7602,7606,7629,7654,7672,7675,7676,7686,7706,7708,7710,7712,7713,7714,7715,7716,7741,7767,7768,7800,7802,7803,7804,7810,7831,7848,7853,7859,7861,7869,7882,7883,7885,7906,7913,7934,8002,8003,8004,8052,8058,8059,8082,8083,8100,8101,8102,8159,8160,8189,8219,8228,8242,8257,8286,8290,8296,8308,8326,8331,8354,8399,8428,8442,8462,8465,8491,8517,8575,8576,8579,8580,8649,8683,8684,8685,8686,8713,8745,8774,8782,8783,8824,8845,8890,8906,8952,8955,8970,8977,9019,9058,9059,9077,9078,9092,9210,9215,9219,9239,9250,9273,9275,9278,9284,9286,9287,9298,9299,9318,9326,9337,9345,9390,9408,9463,9464,9470,9509,9534,9539,9579,9593,9597,9598,9602,9603,9616,9639,9654,9663,9664,9666,9668,9697,9817,9818,9867,9868,9907,9942,10052,10119,10275,10293,10298,3,2765,2767,2768,2769,2770,2771,2773,2774,2777,2781,2782,2787,2788,2794,2795,2796,2797,2798,2802,2803,2804,2808,2809,2814,2815,2822,2826,2827,2829,2830,2834,2843,2844,2845,2846,2847,2848,2850,2852,2853,2855,2856,2857,2866,2872,2873,2874,2896,2897,2898,2904,2905,2906,2910,2920,2922,2936,2937,2941,2944,2945,2946,2947,2949,2966,2967,2968,2969,2970,2972,2973,2974,2985,2986,2988,3012,3013,3015,3016,3030,5348,5390,5539,5540,5541,5623,5722,5752,5786,5802,5804,5810,5872,5873,5874,5875,5892,5927,6065,6104,6114,6138,6172,6210,6364,6369,6410,6411,6434,6436,6438,6445,6446,6447,6448,6449,6450,6451,6452,6535,6609,6610,6699,6736,6737,6776,6777,6921,6935,6991,7011,7012,7018,7040,7073,7075,7079,7123,7143,7144,7162,7163,7200,7245,7246,7343,7412,7413,7414,7415,7432,7465,7518,7519,7527,7532,7533,7544,7574,7575,7576,7577,7722,7723,7725,7727,7733,7734,7808,7940,7943,7949,7950,7961,7999,8000,8078,8118,8172,8194,8195,8272,8367,8438,8439,8443,8477,8513,8539,8540,8607,8625,8626,8627,8628,8778,9036,9037,9106,9120,9174,9175,9295,9330,9357,9392,9433,9637,9760,9902,10088,10144,10146,5962,6518,6519,6612,6632,6633,7064,7283,8620,8699,8946,9130,9131,9201,9202,9387,9481,9482,9483,9484,9700,9965,9979,10349,10350,6594,8531])).
% 190.85/190.75 cnf(13432,plain,
% 190.85/190.75 (P1(f836(f836(f225(f906(a1,a895)),f293(a1,f2(a1),f2(a1))),f293(a1,f836(f73(a1),f836(f90(a1),f836(a102,x134321))),f2(a1))))),
% 190.85/190.75 inference(scs_inference,[],[4081,12692,12714,12849,12851,12853,3664,11310,12363,12466,12469,12560,12602,12606,12614,12686,12824,12826,13263,13269,13274,13278,13284,13287,13311,13416,13421,3674,12433,12860,12862,3681,3399,12882,12884,12886,3400,12910,3366,12768,4591,4592,11948,4354,12898,3403,12890,3242,3299,12814,3300,12838,3301,3302,3303,12642,12807,4590,3723,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,12429,12595,12656,12796,13333,13337,3484,3448,12894,3632,12124,3350,4578,10626,10726,11190,11290,3040,3042,3043,3047,3048,3051,3052,3053,3054,3056,3057,3058,3066,3076,3080,3083,3086,3092,3093,3095,3102,3105,3108,3109,3111,3113,3116,3120,3121,3128,3137,3141,3142,3143,3153,3165,3166,3177,3180,3185,3186,3187,3188,3192,3193,3197,3198,3199,3200,3201,3211,3221,4569,3226,3298,4570,3762,3987,11886,3275,11596,3411,3387,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,12335,12536,12746,12798,12800,12805,12812,12818,12820,12842,12858,12880,12924,13132,13302,13420,3361,12627,12631,12635,3367,3376,3882,4183,3344,13195,3495,12689,12771,3264,3265,3626,3973,11642,3329,3261,3289,3742,3284,3483,4090,3981,3804,3270,3252,3894,3309,3485,11037,11164,12430,12646,3360,4055,4585,10457,10623,11495,12587,12628,12632,4588,12599,3420,11968,11971,13229,13322,13386,13390,13394,13398,4013,4614,11216,11315,11551,11554,3395,3823,3415,3533,3748,3525,4594,3499,12874,12928,3324,10527,10856,3325,4603,3585,3317,3243,3346,11632,4197,12617,12758,4057,11236,11367,11426,12571,12577,12703,12706,12736,4633,11139,11380,11489,11515,11559,11565,12516,4634,11269,11383,11492,4635,11386,11437,4636,11444,4637,3345,3624,12472,12513,12598,3788,3573,4468,4469,3645,4583,11625,3766,3725,3768,3937,3692,13115,13119,13123,13127,13137,3983,12463,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,12404,12740,12996,13034,13037,13098,13336,3875,11872,3413,3508,11701,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,12519,12621,12942,12961,12964,12988,13038,13211,13216,13239,4621,11744,11775,11812,11819,11852,13047,13051,3862,3633,3634,12967,12970,12973,12976,13006,13009,13368,13372,13376,4005,3598,13369,3599,13373,3458,3459,3432,4606,3323,4580,3814,4119,3617,4622,4190,11512,3747,3469,11989,11992,12437,12540,12717,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,12060,4159,4118,12141,12487,4066,10874,12497,12645,13389,4108,13393,4113,11239,12360,12436,12496,12539,13232,13360,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,12382,12651,12713,12733,12743,13202,13268,13273,13293,13314,4625,10988,11391,12500,13281,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,12480,12543,12662,12709,12989,13012,13070,13090,13101,13106,13109,13112,13145,13156,13169,13222,13250,13253,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,12246,13003,13149,13172,13212,13217,13240,13245,3431,12407,12410,3504,12352,13067,13116,13120,13124,13128,13138,13142,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,12451,12546,12549,12655,12695,12780,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,12594,12783,13194,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,12378,12525,12568,12574,12674,12677,12699,12757,12763,12774,12790,13066,13082,13085,13183,13306,13325,13328,13365,13385,13419,3489,10853,10886,10895,10898,10901,11481,12696,12710,13048,13052,13055,13058,3529,13350,3522,3941,3880,10506,11875,11903,13029,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,13256,3450,10889,11042,11112,11904,12053,12251,12456,12481,13079,3904,11995,12983,4238,3639,4610,3915,3949,4597,4600,4601,3406,3410,4599,4598,4361,4405,3737,11868,4332,11727,4627,10752,10755,4632,11225,11228,11414,11525,11542,11588,4023,11585,11924,11928,12605,12613,12702,13198,13262,3870,11155,11161,11179,12173,12303,12381,12670,3721,11295,11417,12413,12522,12531,12610,12665,12673,12787,13205,4195,3872,10892,11258,11423,11457,11468,12609,12659,13298,3581,3690,10805,10808,10904,11068,3689,4630,11869,4626,12951,3667,4631,10645,10758,12475,12484,12528,12727,4293,11028,12493,12508,4201,3903,12793,3848,3849,4628,10479,10482,10847,10850,11741,11929,12739,4629,11849,11934,3873,10811,11074,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500,6513,6534,6540,6542,6557,6558,6562,6564,6565,6566,6568,6570,6571,6572,6579,6585,6586,6588,6589,6595,6597,6639,6645,6660,6664,6665,6666,6700,6705,6707,6712,6713,6723,6727,6741,6764,6765,6767,6768,6779,6784,6804,6807,6829,6849,6862,6863,6864,6870,6884,6903,6905,6907,6909,6914,6920,6922,6936,6941,6942,6979,6980,6981,6998,6999,7001,7002,7022,7024,7039,7067,7090,7101,7103,7105,7107,7108,7139,7140,7141,7145,7146,7154,7156,7157,7158,7180,7189,7190,7201,7211,7251,7261,7267,7274,7285,7290,7292,7299,7319,7336,7357,7359,7378,7433,7434,7435,7437,7439,7443,7444,7449,7513,7541,7556,7571,7602,7606,7629,7654,7672,7675,7676,7686,7706,7708,7710,7712,7713,7714,7715,7716,7741,7767,7768,7800,7802,7803,7804,7810,7831,7848,7853,7859,7861,7869,7882,7883,7885,7906,7913,7934,8002,8003,8004,8052,8058,8059,8082,8083,8100,8101,8102,8159,8160,8189,8219,8228,8242,8257,8286,8290,8296,8308,8326,8331,8354,8399,8428,8442,8462,8465,8491,8517,8575,8576,8579,8580,8649,8683,8684,8685,8686,8713,8745,8774,8782,8783,8824,8845,8890,8906,8952,8955,8970,8977,9019,9058,9059,9077,9078,9092,9210,9215,9219,9239,9250,9273,9275,9278,9284,9286,9287,9298,9299,9318,9326,9337,9345,9390,9408,9463,9464,9470,9509,9534,9539,9579,9593,9597,9598,9602,9603,9616,9639,9654,9663,9664,9666,9668,9697,9817,9818,9867,9868,9907,9942,10052,10119,10275,10293,10298,3,2765,2767,2768,2769,2770,2771,2773,2774,2777,2781,2782,2787,2788,2794,2795,2796,2797,2798,2802,2803,2804,2808,2809,2814,2815,2822,2826,2827,2829,2830,2834,2843,2844,2845,2846,2847,2848,2850,2852,2853,2855,2856,2857,2866,2872,2873,2874,2896,2897,2898,2904,2905,2906,2910,2920,2922,2936,2937,2941,2944,2945,2946,2947,2949,2966,2967,2968,2969,2970,2972,2973,2974,2985,2986,2988,3012,3013,3015,3016,3030,5348,5390,5539,5540,5541,5623,5722,5752,5786,5802,5804,5810,5872,5873,5874,5875,5892,5927,6065,6104,6114,6138,6172,6210,6364,6369,6410,6411,6434,6436,6438,6445,6446,6447,6448,6449,6450,6451,6452,6535,6609,6610,6699,6736,6737,6776,6777,6921,6935,6991,7011,7012,7018,7040,7073,7075,7079,7123,7143,7144,7162,7163,7200,7245,7246,7343,7412,7413,7414,7415,7432,7465,7518,7519,7527,7532,7533,7544,7574,7575,7576,7577,7722,7723,7725,7727,7733,7734,7808,7940,7943,7949,7950,7961,7999,8000,8078,8118,8172,8194,8195,8272,8367,8438,8439,8443,8477,8513,8539,8540,8607,8625,8626,8627,8628,8778,9036,9037,9106,9120,9174,9175,9295,9330,9357,9392,9433,9637,9760,9902,10088,10144,10146,5962,6518,6519,6612,6632,6633,7064,7283,8620,8699,8946,9130,9131,9201,9202,9387,9481,9482,9483,9484,9700,9965,9979,10349,10350,6594,8531,8532])).
% 190.85/190.75 cnf(13439,plain,
% 190.85/190.75 (P1(f836(f836(f224(a899),f2(a899)),x134391))),
% 190.85/190.75 inference(rename_variables,[],[3450])).
% 190.85/190.75 cnf(13440,plain,
% 190.85/190.75 (P1(f836(f836(f225(a899),f2(a899)),f836(a102,x134401)))),
% 190.85/190.75 inference(rename_variables,[],[3508])).
% 190.85/190.75 cnf(13441,plain,
% 190.85/190.75 (E(f836(f274(x134411,x134411),f253(x134411,x134412)),x134412)),
% 190.85/190.75 inference(rename_variables,[],[3390])).
% 190.85/190.75 cnf(13444,plain,
% 190.85/190.75 (P1(f836(f44(f836(f274(x134441,x134441),f253(x134441,f836(f836(f74(a899),f836(f836(f75(a899),f836(f241(a899,a899),f836(f836(f242(a899,a899),f2(a899)),x134442))),f836(a102,f836(f836(f74(a899),x134443),f836(f246(a899,a899),f836(f836(f242(a899,a899),f2(a899)),x134442)))))),f836(f246(a899,a899),f836(f836(f242(a899,a899),f2(a899)),x134442))))),f836(a102,f836(f836(f74(a899),x134443),f836(f246(a899,a899),f836(f836(f242(a899,a899),f2(a899)),x134442))))),f836(f836(f242(a899,a899),f2(a899)),x134442)))),
% 190.85/190.75 inference(scs_inference,[],[4081,12692,12714,12849,12851,12853,3664,11310,12363,12466,12469,12560,12602,12606,12614,12686,12824,12826,13263,13269,13274,13278,13284,13287,13311,13416,13421,3674,12433,12860,12862,3681,3399,12882,12884,12886,3400,12910,3366,12768,4591,4592,11948,4354,12898,3403,12890,3242,3299,12814,3300,12838,3301,3302,3303,12642,12807,4590,3723,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,12429,12595,12656,12796,13333,13337,3484,3448,12894,3632,12124,3350,4578,10626,10726,11190,11290,13357,3040,3042,3043,3047,3048,3051,3052,3053,3054,3056,3057,3058,3066,3076,3080,3083,3086,3092,3093,3095,3102,3105,3108,3109,3111,3113,3116,3120,3121,3128,3137,3141,3142,3143,3153,3165,3166,3177,3180,3185,3186,3187,3188,3192,3193,3197,3198,3199,3200,3201,3211,3221,4569,3226,3298,4570,3762,3987,11886,3275,11596,3411,3387,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,12335,12536,12746,12798,12800,12805,12812,12818,12820,12842,12858,12880,12924,13132,13302,13420,13425,13441,3361,12627,12631,12635,3367,3376,3882,4183,3344,13195,3495,12689,12771,3264,3265,3626,3973,11642,3329,3261,3289,3742,3284,3483,4090,3981,3804,3270,3252,3894,3309,3485,11037,11164,12430,12646,3360,4055,4585,10457,10623,11495,12587,12628,12632,4588,12599,3420,11968,11971,13229,13322,13386,13390,13394,13398,4013,4614,11216,11315,11551,11554,3395,3823,3415,3533,3748,3525,4594,3499,12874,12928,3324,10527,10856,3325,4603,3585,3317,3243,3346,11632,4197,12617,12758,4057,11236,11367,11426,12571,12577,12703,12706,12736,4633,11139,11380,11489,11515,11559,11565,12516,4634,11269,11383,11492,4635,11386,11437,4636,11444,4637,3345,3624,12472,12513,12598,3788,3573,4468,4469,3608,3645,4583,11625,3766,3725,3768,3937,3692,13115,13119,13123,13127,13137,3983,12463,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,12404,12740,12996,13034,13037,13098,13336,13341,3875,11872,3413,3508,11701,11983,13440,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,12519,12621,12942,12961,12964,12988,13038,13211,13216,13239,4621,11744,11775,11812,11819,11852,13047,13051,3862,3633,3634,12967,12970,12973,12976,13006,13009,13368,13372,13376,4005,3598,13369,3599,13373,3458,3459,3432,4606,3323,4580,3814,4119,3617,4622,4190,11512,3747,3469,11989,11992,12437,12540,12717,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,12060,4159,4118,12141,12487,4066,10874,12497,12645,13389,4108,13393,4113,11239,12360,12436,12496,12539,13232,13360,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,12382,12651,12713,12733,12743,13202,13268,13273,13293,13314,4625,10988,11391,12500,13281,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,12480,12543,12662,12709,12989,13012,13070,13090,13101,13106,13109,13112,13145,13156,13169,13222,13250,13253,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,12246,13003,13149,13172,13212,13217,13240,13245,3431,12407,12410,3504,12352,13067,13116,13120,13124,13128,13138,13142,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,12451,12546,12549,12655,12695,12780,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,12594,12783,13194,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,12378,12525,12568,12574,12674,12677,12699,12757,12763,12774,12790,13066,13082,13085,13183,13306,13325,13328,13365,13385,13419,3489,10853,10886,10895,10898,10901,11481,12696,12710,13048,13052,13055,13058,3529,13350,3522,3941,3880,10506,11875,11903,13029,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,13256,3450,10889,11042,11112,11904,12053,12251,12456,12481,13079,13353,13439,3904,11995,12983,4238,3639,4610,3915,3949,4597,4600,4601,3406,3410,4599,4598,4361,4405,3737,11868,4332,11727,4627,10752,10755,4632,11225,11228,11414,11525,11542,11588,4023,11585,11924,11928,12605,12613,12702,13198,13262,3870,11155,11161,11179,12173,12303,12381,12670,3721,11295,11417,12413,12522,12531,12610,12665,12673,12787,13205,4195,3872,10892,11258,11423,11457,11468,12609,12659,13298,3581,3690,10805,10808,10904,11068,3689,4630,11869,4626,12951,3667,4631,10645,10758,12475,12484,12528,12727,4293,11028,12493,12508,4201,3903,12793,3848,3849,4628,10479,10482,10847,10850,11741,11929,12739,4629,11849,11934,3873,10811,11074,13340,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500,6513,6534,6540,6542,6557,6558,6562,6564,6565,6566,6568,6570,6571,6572,6579,6585,6586,6588,6589,6595,6597,6639,6645,6660,6664,6665,6666,6700,6705,6707,6712,6713,6723,6727,6741,6764,6765,6767,6768,6779,6784,6804,6807,6829,6849,6862,6863,6864,6870,6884,6903,6905,6907,6909,6914,6920,6922,6936,6941,6942,6979,6980,6981,6998,6999,7001,7002,7022,7024,7039,7067,7090,7101,7103,7105,7107,7108,7139,7140,7141,7145,7146,7154,7156,7157,7158,7180,7189,7190,7201,7211,7251,7261,7267,7274,7285,7290,7292,7299,7319,7336,7357,7359,7378,7433,7434,7435,7437,7439,7443,7444,7449,7513,7541,7556,7571,7602,7606,7629,7654,7672,7675,7676,7686,7706,7708,7710,7712,7713,7714,7715,7716,7741,7767,7768,7800,7802,7803,7804,7810,7831,7848,7853,7859,7861,7869,7882,7883,7885,7906,7913,7934,8002,8003,8004,8052,8058,8059,8082,8083,8100,8101,8102,8159,8160,8189,8219,8228,8242,8257,8286,8290,8296,8308,8326,8331,8354,8399,8428,8442,8462,8465,8491,8517,8575,8576,8579,8580,8649,8683,8684,8685,8686,8713,8745,8774,8782,8783,8824,8845,8890,8906,8952,8955,8970,8977,9019,9058,9059,9077,9078,9092,9210,9215,9219,9239,9250,9273,9275,9278,9284,9286,9287,9298,9299,9318,9326,9337,9345,9390,9408,9463,9464,9470,9509,9534,9539,9579,9593,9597,9598,9602,9603,9616,9639,9654,9663,9664,9666,9668,9697,9817,9818,9867,9868,9907,9942,10052,10119,10275,10293,10298,3,2765,2767,2768,2769,2770,2771,2773,2774,2777,2781,2782,2787,2788,2794,2795,2796,2797,2798,2802,2803,2804,2808,2809,2814,2815,2822,2826,2827,2829,2830,2834,2843,2844,2845,2846,2847,2848,2850,2852,2853,2855,2856,2857,2866,2872,2873,2874,2896,2897,2898,2904,2905,2906,2910,2920,2922,2936,2937,2941,2944,2945,2946,2947,2949,2966,2967,2968,2969,2970,2972,2973,2974,2985,2986,2988,3012,3013,3015,3016,3030,5348,5390,5539,5540,5541,5623,5722,5752,5786,5802,5804,5810,5872,5873,5874,5875,5892,5927,6065,6104,6114,6138,6172,6210,6364,6369,6410,6411,6434,6436,6438,6445,6446,6447,6448,6449,6450,6451,6452,6535,6609,6610,6699,6736,6737,6776,6777,6921,6935,6991,7011,7012,7018,7040,7073,7075,7079,7123,7143,7144,7162,7163,7200,7245,7246,7343,7412,7413,7414,7415,7432,7465,7518,7519,7527,7532,7533,7544,7574,7575,7576,7577,7722,7723,7725,7727,7733,7734,7808,7940,7943,7949,7950,7961,7999,8000,8078,8118,8172,8194,8195,8272,8367,8438,8439,8443,8477,8513,8539,8540,8607,8625,8626,8627,8628,8778,9036,9037,9106,9120,9174,9175,9295,9330,9357,9392,9433,9637,9760,9902,10088,10144,10146,5962,6518,6519,6612,6632,6633,7064,7283,8620,8699,8946,9130,9131,9201,9202,9387,9481,9482,9483,9484,9700,9965,9979,10349,10350,6594,8531,8532,9002,9020])).
% 190.85/190.75 cnf(13460,plain,
% 190.85/190.75 (E(f836(f836(f74(a899),f2(a899)),f455(f836(a102,f2(a899)),f2(a899))),f2(a899))),
% 190.85/190.75 inference(scs_inference,[],[4081,12692,12714,12849,12851,12853,3664,11310,12363,12466,12469,12560,12602,12606,12614,12686,12824,12826,13263,13269,13274,13278,13284,13287,13311,13416,13421,3674,12433,12860,12862,3681,3399,12882,12884,12886,3400,12910,3366,12768,4591,4592,11948,4354,12898,3403,12890,3242,3299,12814,3300,12838,3301,3302,3303,12642,12807,4590,3723,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,12429,12595,12656,12796,13333,13337,3484,3448,12894,3632,12124,3350,4578,10626,10726,11190,11290,13357,3040,3042,3043,3047,3048,3051,3052,3053,3054,3056,3057,3058,3066,3076,3080,3083,3086,3092,3093,3095,3097,3102,3103,3105,3108,3109,3111,3113,3116,3120,3121,3128,3137,3141,3142,3143,3153,3165,3166,3177,3180,3185,3186,3187,3188,3192,3193,3197,3198,3199,3200,3201,3211,3221,4569,3226,3298,4570,3762,3987,11886,3275,11596,3411,3387,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,12335,12536,12746,12798,12800,12805,12812,12818,12820,12842,12858,12880,12924,13132,13302,13420,13425,13441,3361,12627,12631,12635,3367,3376,3882,4183,3344,13195,3495,12689,12771,3264,3265,3626,3973,11642,3329,3261,3289,3742,3284,3483,4090,3981,3804,3270,3252,3894,3309,3485,11037,11164,12430,12646,3360,4055,4585,10457,10623,11495,12587,12628,12632,4588,12599,3420,11968,11971,13229,13322,13386,13390,13394,13398,4013,4614,11216,11315,11551,11554,3395,3823,3415,3533,3748,3525,4594,3499,12874,12928,3324,10527,10856,3325,4603,3585,3317,3243,3346,11632,4197,12617,12758,4057,11236,11367,11426,12571,12577,12703,12706,12736,4633,11139,11380,11489,11515,11559,11565,12516,4634,11269,11383,11492,4635,11386,11437,4636,11444,4637,3345,3624,12472,12513,12598,3788,3573,4468,4469,3608,3645,4583,11625,3766,3725,3768,3937,3692,13115,13119,13123,13127,13137,3983,12463,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,12404,12740,12996,13034,13037,13098,13336,13341,3875,11872,3413,3508,11701,11983,13440,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,12519,12621,12942,12961,12964,12988,13038,13211,13216,13239,13244,4621,11744,11775,11812,11819,11852,13047,13051,3862,3633,3634,12967,12970,12973,12976,13006,13009,13368,13372,13376,4005,3598,13369,3599,13373,3458,3459,3432,4606,3323,4580,3814,4119,3617,4622,4190,11512,3747,3469,11989,11992,12437,12540,12717,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,12060,4159,4118,12141,12487,4066,10874,12497,12645,13389,4108,13393,4113,11239,12360,12436,12496,12539,13232,13360,4114,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,12382,12651,12713,12733,12743,13202,13268,13273,13293,13314,4625,10988,11391,12500,13281,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,12480,12543,12662,12709,12989,13012,13070,13090,13101,13106,13109,13112,13145,13156,13169,13222,13250,13253,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,12246,13003,13149,13172,13212,13217,13240,13245,3431,12407,12410,3504,12352,13067,13116,13120,13124,13128,13138,13142,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,12451,12546,12549,12655,12695,12780,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,12594,12783,13194,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,12378,12525,12568,12574,12674,12677,12699,12757,12763,12774,12790,13066,13082,13085,13183,13306,13325,13328,13365,13385,13419,3489,10853,10886,10895,10898,10901,11481,12696,12710,13048,13052,13055,13058,3529,13350,13411,3522,3941,3880,10506,11875,11903,13029,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,13256,3450,10889,11042,11112,11904,12053,12251,12456,12481,13079,13353,13439,3904,11995,12983,4238,3639,4610,3915,3949,4597,4600,4601,3406,3410,4599,4598,4361,4405,3737,11868,4332,11727,4627,10752,10755,4632,11225,11228,11414,11525,11542,11588,4023,11585,11924,11928,12605,12613,12702,13198,13262,3870,11155,11161,11179,12173,12303,12381,12670,3721,11295,11417,12413,12522,12531,12610,12665,12673,12787,13205,4195,3872,10892,11258,11423,11457,11468,12609,12659,13298,3581,3690,10805,10808,10904,11068,3689,4630,11869,4626,12951,3667,4631,10645,10758,12475,12484,12528,12727,4293,11028,12493,12508,4201,3903,12793,3848,3849,4628,10479,10482,10847,10850,11741,11929,12739,4629,11849,11934,3873,10811,11074,13340,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500,6513,6534,6540,6542,6557,6558,6562,6564,6565,6566,6568,6570,6571,6572,6579,6585,6586,6588,6589,6595,6597,6639,6645,6660,6664,6665,6666,6700,6705,6707,6712,6713,6723,6727,6741,6764,6765,6767,6768,6779,6784,6804,6807,6829,6849,6862,6863,6864,6870,6884,6903,6905,6907,6909,6914,6920,6922,6936,6941,6942,6979,6980,6981,6998,6999,7001,7002,7022,7024,7039,7067,7090,7101,7103,7105,7107,7108,7139,7140,7141,7145,7146,7154,7156,7157,7158,7180,7189,7190,7201,7211,7251,7261,7267,7274,7285,7290,7292,7299,7319,7336,7357,7359,7378,7433,7434,7435,7437,7439,7443,7444,7449,7513,7541,7556,7571,7602,7606,7629,7654,7672,7675,7676,7686,7706,7708,7710,7712,7713,7714,7715,7716,7741,7767,7768,7800,7802,7803,7804,7810,7831,7848,7853,7859,7861,7869,7882,7883,7885,7906,7913,7934,8002,8003,8004,8052,8058,8059,8082,8083,8100,8101,8102,8159,8160,8189,8219,8228,8242,8257,8286,8290,8296,8308,8326,8331,8354,8399,8428,8442,8462,8465,8491,8517,8575,8576,8579,8580,8649,8683,8684,8685,8686,8713,8745,8774,8782,8783,8824,8845,8890,8906,8952,8955,8970,8977,9019,9058,9059,9077,9078,9092,9210,9215,9219,9239,9250,9273,9275,9278,9284,9286,9287,9298,9299,9318,9326,9337,9345,9390,9408,9463,9464,9470,9509,9534,9539,9579,9593,9597,9598,9602,9603,9616,9639,9654,9663,9664,9666,9668,9697,9817,9818,9867,9868,9907,9942,10052,10119,10275,10293,10298,3,2765,2767,2768,2769,2770,2771,2773,2774,2777,2781,2782,2787,2788,2794,2795,2796,2797,2798,2802,2803,2804,2808,2809,2814,2815,2822,2826,2827,2829,2830,2834,2843,2844,2845,2846,2847,2848,2850,2852,2853,2855,2856,2857,2866,2872,2873,2874,2896,2897,2898,2904,2905,2906,2910,2920,2922,2936,2937,2941,2944,2945,2946,2947,2949,2966,2967,2968,2969,2970,2972,2973,2974,2985,2986,2988,3012,3013,3015,3016,3030,5348,5390,5539,5540,5541,5623,5722,5752,5786,5802,5804,5810,5872,5873,5874,5875,5892,5927,6065,6104,6114,6138,6172,6210,6364,6369,6410,6411,6434,6436,6438,6445,6446,6447,6448,6449,6450,6451,6452,6535,6609,6610,6699,6736,6737,6776,6777,6921,6935,6991,7011,7012,7018,7040,7073,7075,7079,7123,7143,7144,7162,7163,7200,7245,7246,7343,7412,7413,7414,7415,7432,7465,7518,7519,7527,7532,7533,7544,7574,7575,7576,7577,7722,7723,7725,7727,7733,7734,7808,7940,7943,7949,7950,7961,7999,8000,8078,8118,8172,8194,8195,8272,8367,8438,8439,8443,8477,8513,8539,8540,8607,8625,8626,8627,8628,8778,9036,9037,9106,9120,9174,9175,9295,9330,9357,9392,9433,9637,9760,9902,10088,10144,10146,5962,6518,6519,6612,6632,6633,7064,7283,8620,8699,8946,9130,9131,9201,9202,9387,9481,9482,9483,9484,9700,9965,9979,10349,10350,6594,8531,8532,9002,9020,9966,10348,4691,4723])).
% 190.85/190.75 cnf(13522,plain,
% 190.85/190.75 (~P1(f836(f836(f225(a1),f2(a1)),f2(a1)))),
% 190.85/190.75 inference(scs_inference,[],[4081,12692,12714,12849,12851,12853,3664,11310,12363,12466,12469,12560,12602,12606,12614,12686,12824,12826,13263,13269,13274,13278,13284,13287,13311,13416,13421,3674,12433,12860,12862,3681,3399,12882,12884,12886,3400,12910,3366,12768,4591,4592,11948,4354,12898,3403,12890,3242,3299,12814,3300,12838,3301,3302,3303,12642,12807,4590,3723,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,12429,12595,12656,12796,13333,13337,3484,3448,12894,3632,12124,3350,4578,10626,10726,11190,11290,13357,3040,3042,3043,3047,3048,3051,3052,3053,3054,3056,3057,3058,3066,3076,3080,3083,3086,3092,3093,3095,3097,3102,3103,3105,3108,3109,3111,3113,3116,3120,3121,3128,3137,3141,3142,3143,3153,3165,3166,3177,3180,3185,3186,3187,3188,3192,3193,3197,3198,3199,3200,3201,3211,3221,4569,3226,3298,4570,3762,3987,11886,3275,11596,3411,3387,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,12335,12536,12746,12798,12800,12805,12812,12818,12820,12842,12858,12880,12924,13132,13302,13420,13425,13441,3361,12627,12631,12635,3367,3376,3882,4183,3344,13195,3495,12689,12771,3264,3265,3626,3973,11642,3329,3261,3289,3742,3284,3483,4090,3981,3804,3270,3252,3894,3309,3485,11037,11164,12430,12646,3360,4055,4585,10457,10623,11495,12587,12628,12632,4588,12599,3420,11968,11971,13229,13322,13386,13390,13394,13398,4013,4614,11216,11315,11551,11554,3395,3823,3415,3533,3748,3525,4594,3499,12874,12928,3324,10527,10856,3325,4603,3585,3317,3243,3346,11632,4197,12617,12758,4057,11236,11367,11426,12571,12577,12703,12706,12736,4633,11139,11380,11489,11515,11559,11565,12516,4634,11269,11383,11492,4635,11386,11437,4636,11444,4637,3345,3624,12472,12513,12598,3788,3573,4468,4469,3608,3645,4583,11625,3766,3725,3768,3937,3692,13115,13119,13123,13127,13137,3983,12463,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,12404,12740,12996,13034,13037,13098,13336,13341,3875,11872,3413,3508,11701,11983,13440,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,12519,12621,12942,12961,12964,12988,13038,13211,13216,13239,13244,4621,11744,11775,11812,11819,11852,13047,13051,3862,3633,3634,12967,12970,12973,12976,13006,13009,13368,13372,13376,4005,3598,13369,3599,13373,3458,3459,3432,4606,3323,4580,3814,4119,3617,4622,4190,11512,3747,3469,11989,11992,12437,12540,12717,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,12060,4159,4118,12141,12487,4066,10874,12497,12645,13389,4108,13393,4113,11239,12360,12436,12496,12539,13232,13360,4114,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,12382,12651,12713,12733,12743,13202,13268,13273,13293,13314,4625,10988,11391,12500,13281,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,12480,12543,12662,12709,12989,13012,13070,13090,13101,13106,13109,13112,13145,13156,13169,13222,13250,13253,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,12246,13003,13149,13172,13212,13217,13240,13245,3431,12407,12410,3504,12352,13067,13116,13120,13124,13128,13138,13142,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,12451,12546,12549,12655,12695,12780,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,12594,12783,13194,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,12378,12525,12568,12574,12674,12677,12699,12757,12763,12774,12790,13066,13082,13085,13183,13306,13325,13328,13365,13385,13419,3489,10853,10886,10895,10898,10901,11481,12696,12710,13048,13052,13055,13058,3529,13350,13411,3522,3941,3880,10506,11875,11903,13029,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,13256,3450,10889,11042,11112,11904,12053,12251,12456,12481,13079,13353,13439,3904,11995,12983,4238,3639,4610,3915,3949,4597,4600,4601,3406,3410,4599,4598,4361,4405,3737,11868,4332,11727,4627,10752,10755,4632,11225,11228,11414,11525,11542,11588,4023,11585,11924,11928,12605,12613,12702,13198,13262,3870,11155,11161,11179,12173,12303,12381,12670,3721,11295,11417,12413,12522,12531,12610,12665,12673,12787,13205,4195,3872,10892,11258,11423,11457,11468,12609,12659,13298,3581,3690,10805,10808,10904,11068,3689,4630,11869,4626,12951,3667,4631,10645,10758,12475,12484,12528,12727,4293,11028,12493,12508,4201,3903,12793,3848,3849,4628,10479,10482,10847,10850,11741,11929,12739,4629,11849,11934,3873,10811,11074,13340,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500,6513,6534,6540,6542,6557,6558,6562,6564,6565,6566,6568,6570,6571,6572,6579,6585,6586,6588,6589,6595,6597,6639,6645,6660,6664,6665,6666,6700,6705,6707,6712,6713,6723,6727,6741,6764,6765,6767,6768,6779,6784,6804,6807,6829,6849,6862,6863,6864,6870,6884,6903,6905,6907,6909,6914,6920,6922,6936,6941,6942,6979,6980,6981,6998,6999,7001,7002,7022,7024,7039,7067,7090,7101,7103,7105,7107,7108,7139,7140,7141,7145,7146,7154,7156,7157,7158,7180,7189,7190,7201,7211,7251,7261,7267,7274,7285,7290,7292,7299,7319,7336,7357,7359,7378,7433,7434,7435,7437,7439,7443,7444,7449,7513,7541,7556,7571,7602,7606,7629,7654,7672,7675,7676,7686,7706,7708,7710,7712,7713,7714,7715,7716,7741,7767,7768,7800,7802,7803,7804,7810,7831,7848,7853,7859,7861,7869,7882,7883,7885,7906,7913,7934,8002,8003,8004,8052,8058,8059,8082,8083,8100,8101,8102,8159,8160,8189,8219,8228,8242,8257,8286,8290,8296,8308,8326,8331,8354,8399,8428,8442,8462,8465,8491,8517,8575,8576,8579,8580,8649,8683,8684,8685,8686,8713,8745,8774,8782,8783,8824,8845,8890,8906,8952,8955,8970,8977,9019,9058,9059,9077,9078,9092,9210,9215,9219,9239,9250,9273,9275,9278,9284,9286,9287,9298,9299,9318,9326,9337,9345,9390,9408,9463,9464,9470,9509,9534,9539,9579,9593,9597,9598,9602,9603,9616,9639,9654,9663,9664,9666,9668,9697,9817,9818,9867,9868,9907,9942,10052,10119,10275,10293,10298,3,2765,2767,2768,2769,2770,2771,2773,2774,2777,2781,2782,2787,2788,2794,2795,2796,2797,2798,2802,2803,2804,2808,2809,2814,2815,2822,2826,2827,2829,2830,2834,2843,2844,2845,2846,2847,2848,2850,2852,2853,2855,2856,2857,2866,2872,2873,2874,2896,2897,2898,2904,2905,2906,2910,2920,2922,2936,2937,2941,2944,2945,2946,2947,2949,2966,2967,2968,2969,2970,2972,2973,2974,2985,2986,2988,3012,3013,3015,3016,3030,5348,5390,5539,5540,5541,5623,5722,5752,5786,5802,5804,5810,5872,5873,5874,5875,5892,5927,6065,6104,6114,6138,6172,6210,6364,6369,6410,6411,6434,6436,6438,6445,6446,6447,6448,6449,6450,6451,6452,6535,6609,6610,6699,6736,6737,6776,6777,6921,6935,6991,7011,7012,7018,7040,7073,7075,7079,7123,7143,7144,7162,7163,7200,7245,7246,7343,7412,7413,7414,7415,7432,7465,7518,7519,7527,7532,7533,7544,7574,7575,7576,7577,7722,7723,7725,7727,7733,7734,7808,7940,7943,7949,7950,7961,7999,8000,8078,8118,8172,8194,8195,8272,8367,8438,8439,8443,8477,8513,8539,8540,8607,8625,8626,8627,8628,8778,9036,9037,9106,9120,9174,9175,9295,9330,9357,9392,9433,9637,9760,9902,10088,10144,10146,5962,6518,6519,6612,6632,6633,7064,7283,8620,8699,8946,9130,9131,9201,9202,9387,9481,9482,9483,9484,9700,9965,9979,10349,10350,6594,8531,8532,9002,9020,9966,10348,4691,4723,4724,4727,4769,4773,4778,4819,4916,4931,4963,4964,4995,4999,5058,5061,5121,5253,5292,5293,5295,5302,5303,5327,5366,5398,5420,5555,5628,5629,5630,5691,5748])).
% 190.85/190.75 cnf(13524,plain,
% 190.85/190.75 (P1(f836(f836(f225(a1),f2(a1)),f836(f70(a1),f72(a1))))),
% 190.85/190.75 inference(scs_inference,[],[4081,12692,12714,12849,12851,12853,3664,11310,12363,12466,12469,12560,12602,12606,12614,12686,12824,12826,13263,13269,13274,13278,13284,13287,13311,13416,13421,3674,12433,12860,12862,3681,3399,12882,12884,12886,3400,12910,3366,12768,4591,4592,11948,4354,12898,3403,12890,3242,3299,12814,3300,12838,3301,3302,3303,12642,12807,4590,3723,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,12429,12595,12656,12796,13333,13337,3484,3448,12894,3632,12124,3350,4578,10626,10726,11190,11290,13357,3040,3042,3043,3047,3048,3051,3052,3053,3054,3056,3057,3058,3066,3076,3080,3083,3086,3092,3093,3095,3097,3102,3103,3105,3108,3109,3111,3113,3116,3120,3121,3128,3137,3141,3142,3143,3153,3165,3166,3177,3180,3185,3186,3187,3188,3192,3193,3197,3198,3199,3200,3201,3211,3221,4569,3226,3298,4570,3762,3987,11886,3275,11596,3411,3387,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,12335,12536,12746,12798,12800,12805,12812,12818,12820,12842,12858,12880,12924,13132,13302,13420,13425,13441,3361,12627,12631,12635,3367,3376,3882,4183,3344,13195,3495,12689,12771,3264,3265,3626,3973,11642,3329,3261,3289,3742,3284,3483,4090,3981,3804,3270,3252,3894,3309,3485,11037,11164,12430,12646,3360,4055,4585,10457,10623,11495,12587,12628,12632,4588,12599,3420,11968,11971,13229,13322,13386,13390,13394,13398,4013,4614,11216,11315,11551,11554,3395,3823,3415,3533,3748,3525,4594,3499,12874,12928,3324,10527,10856,3325,4603,3585,3317,3243,3346,11632,4197,12617,12758,4057,11236,11367,11426,12571,12577,12703,12706,12736,4633,11139,11380,11489,11515,11559,11565,12516,4634,11269,11383,11492,4635,11386,11437,4636,11444,4637,3345,3624,12472,12513,12598,3788,3573,4468,4469,3608,3645,4583,11625,3766,3725,3768,3937,3692,13115,13119,13123,13127,13137,3983,12463,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,12404,12740,12996,13034,13037,13098,13336,13341,3875,11872,3413,3508,11701,11983,13440,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,12519,12621,12942,12961,12964,12988,13038,13211,13216,13239,13244,4621,11744,11775,11812,11819,11852,13047,13051,3862,3633,3634,12967,12970,12973,12976,13006,13009,13368,13372,13376,4005,3598,13369,3599,13373,3458,3459,3432,4606,3323,4580,3814,4119,3617,4622,4190,11512,3747,3469,11989,11992,12437,12540,12717,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,12060,4159,4118,12141,12487,4066,10874,12497,12645,13389,4108,13393,4113,11239,12360,12436,12496,12539,13232,13360,4114,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,12382,12651,12713,12733,12743,13202,13268,13273,13293,13314,4625,10988,11391,12500,13281,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,12480,12543,12662,12709,12989,13012,13070,13090,13101,13106,13109,13112,13145,13156,13169,13222,13250,13253,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,12246,13003,13149,13172,13212,13217,13240,13245,3431,12407,12410,3504,12352,13067,13116,13120,13124,13128,13138,13142,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,12451,12546,12549,12655,12695,12780,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,12594,12783,13194,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,12378,12525,12568,12574,12674,12677,12699,12757,12763,12774,12790,13066,13082,13085,13183,13306,13325,13328,13365,13385,13419,3489,10853,10886,10895,10898,10901,11481,12696,12710,13048,13052,13055,13058,3529,13350,13411,3522,3941,3880,10506,11875,11903,13029,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,13256,3450,10889,11042,11112,11904,12053,12251,12456,12481,13079,13353,13439,3904,11995,12983,4238,3639,4610,3915,3949,4597,4600,4601,3406,3410,4599,4598,4361,4405,3737,11868,4332,11727,4627,10752,10755,4632,11225,11228,11414,11525,11542,11588,4023,11585,11924,11928,12605,12613,12702,13198,13262,3870,11155,11161,11179,12173,12303,12381,12670,3721,11295,11417,12413,12522,12531,12610,12665,12673,12787,13205,4195,3872,10892,11258,11423,11457,11468,12609,12659,13298,3581,3690,10805,10808,10904,11068,3689,4630,11869,4626,12951,3667,4631,10645,10758,12475,12484,12528,12727,4293,11028,12493,12508,4201,3903,12793,3848,3849,4628,10479,10482,10847,10850,11741,11929,12739,4629,11849,11934,3873,10811,11074,13340,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500,6513,6534,6540,6542,6557,6558,6562,6564,6565,6566,6568,6570,6571,6572,6579,6585,6586,6588,6589,6595,6597,6639,6645,6660,6664,6665,6666,6700,6705,6707,6712,6713,6723,6727,6741,6764,6765,6767,6768,6779,6784,6804,6807,6829,6849,6862,6863,6864,6870,6884,6903,6905,6907,6909,6914,6920,6922,6936,6941,6942,6979,6980,6981,6998,6999,7001,7002,7022,7024,7039,7067,7090,7101,7103,7105,7107,7108,7139,7140,7141,7145,7146,7154,7156,7157,7158,7180,7189,7190,7201,7211,7251,7261,7267,7274,7285,7290,7292,7299,7319,7336,7357,7359,7378,7433,7434,7435,7437,7439,7443,7444,7449,7513,7541,7556,7571,7602,7606,7629,7654,7672,7675,7676,7686,7706,7708,7710,7712,7713,7714,7715,7716,7741,7767,7768,7800,7802,7803,7804,7810,7831,7848,7853,7859,7861,7869,7882,7883,7885,7906,7913,7934,8002,8003,8004,8052,8058,8059,8082,8083,8100,8101,8102,8159,8160,8189,8219,8228,8242,8257,8286,8290,8296,8308,8326,8331,8354,8399,8428,8442,8462,8465,8491,8517,8575,8576,8579,8580,8649,8683,8684,8685,8686,8713,8745,8774,8782,8783,8824,8845,8890,8906,8952,8955,8970,8977,9019,9058,9059,9077,9078,9092,9210,9215,9219,9239,9250,9273,9275,9278,9284,9286,9287,9298,9299,9318,9326,9337,9345,9390,9408,9463,9464,9470,9509,9534,9539,9579,9593,9597,9598,9602,9603,9616,9639,9654,9663,9664,9666,9668,9697,9817,9818,9867,9868,9907,9942,10052,10119,10275,10293,10298,3,2765,2767,2768,2769,2770,2771,2773,2774,2777,2781,2782,2787,2788,2794,2795,2796,2797,2798,2802,2803,2804,2808,2809,2814,2815,2822,2826,2827,2829,2830,2834,2843,2844,2845,2846,2847,2848,2850,2852,2853,2855,2856,2857,2866,2872,2873,2874,2896,2897,2898,2904,2905,2906,2910,2920,2922,2936,2937,2941,2944,2945,2946,2947,2949,2966,2967,2968,2969,2970,2972,2973,2974,2985,2986,2988,3012,3013,3015,3016,3030,5348,5390,5539,5540,5541,5623,5722,5752,5786,5802,5804,5810,5872,5873,5874,5875,5892,5927,6065,6104,6114,6138,6172,6210,6364,6369,6410,6411,6434,6436,6438,6445,6446,6447,6448,6449,6450,6451,6452,6535,6609,6610,6699,6736,6737,6776,6777,6921,6935,6991,7011,7012,7018,7040,7073,7075,7079,7123,7143,7144,7162,7163,7200,7245,7246,7343,7412,7413,7414,7415,7432,7465,7518,7519,7527,7532,7533,7544,7574,7575,7576,7577,7722,7723,7725,7727,7733,7734,7808,7940,7943,7949,7950,7961,7999,8000,8078,8118,8172,8194,8195,8272,8367,8438,8439,8443,8477,8513,8539,8540,8607,8625,8626,8627,8628,8778,9036,9037,9106,9120,9174,9175,9295,9330,9357,9392,9433,9637,9760,9902,10088,10144,10146,5962,6518,6519,6612,6632,6633,7064,7283,8620,8699,8946,9130,9131,9201,9202,9387,9481,9482,9483,9484,9700,9965,9979,10349,10350,6594,8531,8532,9002,9020,9966,10348,4691,4723,4724,4727,4769,4773,4778,4819,4916,4931,4963,4964,4995,4999,5058,5061,5121,5253,5292,5293,5295,5302,5303,5327,5366,5398,5420,5555,5628,5629,5630,5691,5748,5749])).
% 190.85/190.75 cnf(13548,plain,
% 190.85/190.75 (~P1(f836(f29(x135481),f32(f906(x135481,a895),f232(f906(f906(x135481,a895),a895)))))),
% 190.85/190.75 inference(scs_inference,[],[4081,12692,12714,12849,12851,12853,3664,11310,12363,12466,12469,12560,12602,12606,12614,12686,12824,12826,13263,13269,13274,13278,13284,13287,13311,13416,13421,3674,12433,12860,12862,3681,3399,12882,12884,12886,3400,12910,3366,12768,4591,4592,11948,4354,12898,3403,12890,3242,3299,12814,3300,12838,3301,3302,3303,12642,12807,4590,3723,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,12429,12595,12656,12796,13333,13337,3484,3448,12894,3632,12124,3350,4578,10626,10726,11190,11290,13357,3040,3042,3043,3047,3048,3051,3052,3053,3054,3056,3057,3058,3066,3076,3080,3083,3086,3092,3093,3095,3097,3102,3103,3105,3108,3109,3111,3113,3116,3120,3121,3128,3137,3141,3142,3143,3153,3165,3166,3177,3180,3185,3186,3187,3188,3192,3193,3197,3198,3199,3200,3201,3211,3221,4569,3226,3298,4570,3762,3987,11886,3275,11596,3411,3387,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,12335,12536,12746,12798,12800,12805,12812,12818,12820,12842,12858,12880,12924,13132,13302,13420,13425,13441,3361,12627,12631,12635,3367,3376,3882,4183,3344,13195,3495,12689,12771,3264,3265,3626,3973,11642,3329,3261,3289,3742,3284,3483,4090,3981,3804,3270,3252,3894,3309,3485,11037,11164,12430,12646,3360,4055,4585,10457,10623,11495,12587,12628,12632,4588,12599,3420,11968,11971,13229,13322,13386,13390,13394,13398,4013,4614,11216,11315,11551,11554,3395,3823,3415,3533,3748,3525,4594,3499,12874,12928,3324,10527,10856,3325,4603,3585,3317,3243,3346,11632,4197,12617,12758,4057,11236,11367,11426,12571,12577,12703,12706,12736,4633,11139,11380,11489,11515,11559,11565,12516,4634,11269,11383,11492,4635,11386,11437,4636,11444,4637,3345,3624,12472,12513,12598,3788,3573,4468,4469,3608,3645,4583,11625,3766,3725,3768,3937,3692,13115,13119,13123,13127,13137,3983,12463,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,12404,12740,12996,13034,13037,13098,13336,13341,3875,11872,3413,3508,11701,11983,13440,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,12519,12621,12942,12961,12964,12988,13038,13211,13216,13239,13244,4621,11744,11775,11812,11819,11852,13047,13051,3862,3633,3634,12967,12970,12973,12976,13006,13009,13368,13372,13376,4005,3598,13369,3599,13373,3458,3459,3432,4606,3323,4580,3814,4119,3617,4622,4190,11512,3747,3469,11989,11992,12437,12540,12717,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,12060,4159,4118,12141,12487,4066,10874,12497,12645,13389,4108,13393,4113,11239,12360,12436,12496,12539,13232,13360,4114,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,12382,12651,12713,12733,12743,13202,13268,13273,13293,13314,4625,10988,11391,12500,13281,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,12480,12543,12662,12709,12989,13012,13070,13090,13101,13106,13109,13112,13145,13156,13169,13222,13250,13253,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,12246,13003,13149,13172,13212,13217,13240,13245,3431,12407,12410,3504,12352,13067,13116,13120,13124,13128,13138,13142,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,12451,12546,12549,12655,12695,12780,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,12594,12783,13194,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,12378,12525,12568,12574,12674,12677,12699,12757,12763,12774,12790,13066,13082,13085,13183,13306,13325,13328,13365,13385,13419,3489,10853,10886,10895,10898,10901,11481,12696,12710,13048,13052,13055,13058,3529,13350,13411,3522,3941,3880,10506,11875,11903,13029,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,13256,3450,10889,11042,11112,11904,12053,12251,12456,12481,13079,13353,13439,3904,11995,12983,4238,3639,4610,3915,3949,4597,4600,4601,3406,3410,4599,4598,4361,4405,3737,11868,4332,11727,4627,10752,10755,4632,11225,11228,11414,11525,11542,11588,4023,11585,11924,11928,12605,12613,12702,13198,13262,3870,11155,11161,11179,12173,12303,12381,12670,3721,11295,11417,12413,12522,12531,12610,12665,12673,12787,13205,4195,3872,10892,11258,11423,11457,11468,12609,12659,13298,3581,3690,10805,10808,10904,11068,3689,4630,11869,4626,12951,3667,4631,10645,10758,12475,12484,12528,12727,4293,11028,12493,12508,4201,3903,12793,3848,3849,4628,10479,10482,10847,10850,11741,11929,12739,4629,11849,11934,3873,10811,11074,13340,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500,6513,6534,6540,6542,6557,6558,6562,6564,6565,6566,6568,6570,6571,6572,6579,6585,6586,6588,6589,6595,6597,6639,6645,6660,6664,6665,6666,6700,6705,6707,6712,6713,6723,6727,6741,6764,6765,6767,6768,6779,6784,6804,6807,6829,6849,6862,6863,6864,6870,6884,6903,6905,6907,6909,6914,6920,6922,6936,6941,6942,6979,6980,6981,6998,6999,7001,7002,7022,7024,7039,7067,7090,7101,7103,7105,7107,7108,7139,7140,7141,7145,7146,7154,7156,7157,7158,7180,7189,7190,7201,7211,7251,7261,7267,7274,7285,7290,7292,7299,7319,7336,7357,7359,7378,7433,7434,7435,7437,7439,7443,7444,7449,7513,7541,7556,7571,7602,7606,7629,7654,7672,7675,7676,7686,7706,7708,7710,7712,7713,7714,7715,7716,7741,7767,7768,7800,7802,7803,7804,7810,7831,7848,7853,7859,7861,7869,7882,7883,7885,7906,7913,7934,8002,8003,8004,8052,8058,8059,8082,8083,8100,8101,8102,8159,8160,8189,8219,8228,8242,8257,8286,8290,8296,8308,8326,8331,8354,8399,8428,8442,8462,8465,8491,8517,8575,8576,8579,8580,8649,8683,8684,8685,8686,8713,8745,8774,8782,8783,8824,8845,8890,8906,8952,8955,8970,8977,9019,9058,9059,9077,9078,9092,9210,9215,9219,9239,9250,9273,9275,9278,9284,9286,9287,9298,9299,9318,9326,9337,9345,9390,9408,9463,9464,9470,9509,9534,9539,9579,9593,9597,9598,9602,9603,9616,9639,9654,9663,9664,9666,9668,9697,9817,9818,9867,9868,9907,9942,10052,10119,10275,10293,10298,3,2765,2767,2768,2769,2770,2771,2773,2774,2777,2781,2782,2787,2788,2794,2795,2796,2797,2798,2802,2803,2804,2808,2809,2814,2815,2822,2826,2827,2829,2830,2834,2843,2844,2845,2846,2847,2848,2850,2852,2853,2855,2856,2857,2866,2872,2873,2874,2896,2897,2898,2904,2905,2906,2910,2920,2922,2936,2937,2941,2944,2945,2946,2947,2949,2966,2967,2968,2969,2970,2972,2973,2974,2985,2986,2988,3012,3013,3015,3016,3030,5348,5390,5539,5540,5541,5623,5722,5752,5786,5802,5804,5810,5872,5873,5874,5875,5892,5927,6065,6104,6114,6138,6172,6210,6364,6369,6410,6411,6434,6436,6438,6445,6446,6447,6448,6449,6450,6451,6452,6535,6609,6610,6699,6736,6737,6776,6777,6921,6935,6991,7011,7012,7018,7040,7073,7075,7079,7123,7143,7144,7162,7163,7200,7245,7246,7343,7412,7413,7414,7415,7432,7465,7518,7519,7527,7532,7533,7544,7574,7575,7576,7577,7722,7723,7725,7727,7733,7734,7808,7940,7943,7949,7950,7961,7999,8000,8078,8118,8172,8194,8195,8272,8367,8438,8439,8443,8477,8513,8539,8540,8607,8625,8626,8627,8628,8778,9036,9037,9106,9120,9174,9175,9295,9330,9357,9392,9433,9637,9760,9902,10088,10144,10146,5962,6518,6519,6612,6632,6633,7064,7283,8620,8699,8946,9130,9131,9201,9202,9387,9481,9482,9483,9484,9700,9965,9979,10349,10350,6594,8531,8532,9002,9020,9966,10348,4691,4723,4724,4727,4769,4773,4778,4819,4916,4931,4963,4964,4995,4999,5058,5061,5121,5253,5292,5293,5295,5302,5303,5327,5366,5398,5420,5555,5628,5629,5630,5691,5748,5749,5775,5779,5838,5840,5849,5855,5943,6029,6136,6179,6237,6351])).
% 190.85/190.75 cnf(13558,plain,
% 190.85/190.75 (~P1(f836(f836(f225(a899),f2(a899)),f178(a899)))),
% 190.85/190.75 inference(scs_inference,[],[4081,12692,12714,12849,12851,12853,3664,11310,12363,12466,12469,12560,12602,12606,12614,12686,12824,12826,13263,13269,13274,13278,13284,13287,13311,13416,13421,3674,12433,12860,12862,3681,3399,12882,12884,12886,3400,12910,3366,12768,4591,4592,11948,4354,12898,3403,12890,3242,3299,12814,3300,12838,3301,3302,3303,12642,12807,4590,3723,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,12429,12595,12656,12796,13333,13337,3484,3448,12894,3632,12124,3350,4578,10626,10726,11190,11290,13357,3040,3042,3043,3047,3048,3051,3052,3053,3054,3056,3057,3058,3066,3076,3080,3083,3086,3092,3093,3095,3097,3102,3103,3105,3108,3109,3111,3113,3116,3120,3121,3128,3137,3141,3142,3143,3153,3165,3166,3177,3180,3185,3186,3187,3188,3192,3193,3197,3198,3199,3200,3201,3211,3221,4569,3226,3298,4570,3762,3987,11886,3275,11596,3411,3387,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,12335,12536,12746,12798,12800,12805,12812,12818,12820,12842,12858,12880,12924,13132,13302,13420,13425,13441,3361,12627,12631,12635,3367,3376,3882,4183,3344,13195,3495,12689,12771,3264,3265,3626,3973,11642,3329,3261,3289,3742,3284,3483,4090,3981,3804,3270,3252,3894,3309,3485,11037,11164,12430,12646,3360,4055,4585,10457,10623,11495,12587,12628,12632,4588,12599,3420,11968,11971,13229,13322,13386,13390,13394,13398,4013,4614,11216,11315,11551,11554,3395,3823,3415,3533,3748,3525,4594,3499,12874,12928,3324,10527,10856,3325,4603,3585,3317,3243,3346,11632,4197,12617,12758,4057,11236,11367,11426,12571,12577,12703,12706,12736,4633,11139,11380,11489,11515,11559,11565,12516,4634,11269,11383,11492,4635,11386,11437,4636,11444,4637,3345,3624,12472,12513,12598,3788,3573,4468,4469,3608,3645,4583,11625,3766,3725,3768,3937,3692,13115,13119,13123,13127,13137,3983,12463,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,12404,12740,12996,13034,13037,13098,13336,13341,3875,11872,3413,3508,11701,11983,13440,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,12519,12621,12942,12961,12964,12988,13038,13211,13216,13239,13244,4621,11744,11775,11812,11819,11852,13047,13051,3862,3633,3634,12967,12970,12973,12976,13006,13009,13368,13372,13376,4005,3598,13369,3599,13373,3458,3459,3432,4606,3323,4580,3814,4119,3617,4622,4190,11512,3747,3469,11989,11992,12437,12540,12717,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,12060,4159,4118,12141,12487,4066,10874,12497,12645,13389,4108,13393,4113,11239,12360,12436,12496,12539,13232,13360,4114,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,12382,12651,12713,12733,12743,13202,13268,13273,13293,13314,4625,10988,11391,12500,13281,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,12480,12543,12662,12709,12989,13012,13070,13090,13101,13106,13109,13112,13145,13156,13169,13222,13250,13253,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,12246,13003,13149,13172,13212,13217,13240,13245,3431,12407,12410,3504,12352,13067,13116,13120,13124,13128,13138,13142,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,12451,12546,12549,12655,12695,12780,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,12594,12783,13194,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,12378,12525,12568,12574,12674,12677,12699,12757,12763,12774,12790,13066,13082,13085,13183,13306,13325,13328,13365,13385,13419,3489,10853,10886,10895,10898,10901,11481,12696,12710,13048,13052,13055,13058,3529,13350,13411,3522,3941,3880,10506,11875,11903,13029,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,13256,3450,10889,11042,11112,11904,12053,12251,12456,12481,13079,13353,13439,3904,11995,12983,4238,3639,4610,3915,3949,4597,4600,4601,3406,3410,4599,4598,4361,4405,3737,11868,4332,11727,4627,10752,10755,4632,11225,11228,11414,11525,11542,11588,4023,11585,11924,11928,12605,12613,12702,13198,13262,3870,11155,11161,11179,12173,12303,12381,12670,3721,11295,11417,12413,12522,12531,12610,12665,12673,12787,13205,4195,3872,10892,11258,11423,11457,11468,12609,12659,13298,3581,3690,10805,10808,10904,11068,3689,4630,11869,4626,12951,3667,4631,10645,10758,12475,12484,12528,12727,4293,11028,12493,12508,4201,3903,12793,3848,3849,4628,10479,10482,10847,10850,11741,11929,12739,4629,11849,11934,3873,10811,11074,13340,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500,6513,6534,6540,6542,6557,6558,6562,6564,6565,6566,6568,6570,6571,6572,6579,6585,6586,6588,6589,6595,6597,6639,6645,6660,6664,6665,6666,6700,6705,6707,6712,6713,6723,6727,6741,6764,6765,6767,6768,6779,6784,6804,6807,6829,6849,6862,6863,6864,6870,6884,6903,6905,6907,6909,6914,6920,6922,6936,6941,6942,6979,6980,6981,6998,6999,7001,7002,7022,7024,7039,7067,7090,7101,7103,7105,7107,7108,7139,7140,7141,7145,7146,7154,7156,7157,7158,7180,7189,7190,7201,7211,7251,7261,7267,7274,7285,7290,7292,7299,7319,7336,7357,7359,7378,7433,7434,7435,7437,7439,7443,7444,7449,7513,7541,7556,7571,7602,7606,7629,7654,7672,7675,7676,7686,7706,7708,7710,7712,7713,7714,7715,7716,7741,7767,7768,7800,7802,7803,7804,7810,7831,7848,7853,7859,7861,7869,7882,7883,7885,7906,7913,7934,8002,8003,8004,8052,8058,8059,8082,8083,8100,8101,8102,8159,8160,8189,8219,8228,8242,8257,8286,8290,8296,8308,8326,8331,8354,8399,8428,8442,8462,8465,8491,8517,8575,8576,8579,8580,8649,8683,8684,8685,8686,8713,8745,8774,8782,8783,8824,8845,8890,8906,8952,8955,8970,8977,9019,9058,9059,9077,9078,9092,9210,9215,9219,9239,9250,9273,9275,9278,9284,9286,9287,9298,9299,9318,9326,9337,9345,9390,9408,9463,9464,9470,9509,9534,9539,9579,9593,9597,9598,9602,9603,9616,9639,9654,9663,9664,9666,9668,9697,9817,9818,9867,9868,9907,9942,10052,10119,10275,10293,10298,3,2765,2767,2768,2769,2770,2771,2773,2774,2777,2781,2782,2787,2788,2794,2795,2796,2797,2798,2802,2803,2804,2808,2809,2814,2815,2822,2826,2827,2829,2830,2834,2843,2844,2845,2846,2847,2848,2850,2852,2853,2855,2856,2857,2866,2872,2873,2874,2896,2897,2898,2904,2905,2906,2910,2920,2922,2936,2937,2941,2944,2945,2946,2947,2949,2966,2967,2968,2969,2970,2972,2973,2974,2985,2986,2988,3012,3013,3015,3016,3030,5348,5390,5539,5540,5541,5623,5722,5752,5786,5802,5804,5810,5872,5873,5874,5875,5892,5927,6065,6104,6114,6138,6172,6210,6364,6369,6410,6411,6434,6436,6438,6445,6446,6447,6448,6449,6450,6451,6452,6535,6609,6610,6699,6736,6737,6776,6777,6921,6935,6991,7011,7012,7018,7040,7073,7075,7079,7123,7143,7144,7162,7163,7200,7245,7246,7343,7412,7413,7414,7415,7432,7465,7518,7519,7527,7532,7533,7544,7574,7575,7576,7577,7722,7723,7725,7727,7733,7734,7808,7940,7943,7949,7950,7961,7999,8000,8078,8118,8172,8194,8195,8272,8367,8438,8439,8443,8477,8513,8539,8540,8607,8625,8626,8627,8628,8778,9036,9037,9106,9120,9174,9175,9295,9330,9357,9392,9433,9637,9760,9902,10088,10144,10146,5962,6518,6519,6612,6632,6633,7064,7283,8620,8699,8946,9130,9131,9201,9202,9387,9481,9482,9483,9484,9700,9965,9979,10349,10350,6594,8531,8532,9002,9020,9966,10348,4691,4723,4724,4727,4769,4773,4778,4819,4916,4931,4963,4964,4995,4999,5058,5061,5121,5253,5292,5293,5295,5302,5303,5327,5366,5398,5420,5555,5628,5629,5630,5691,5748,5749,5775,5779,5838,5840,5849,5855,5943,6029,6136,6179,6237,6351,6479,6643,6681,6857,7118])).
% 190.85/190.75 cnf(13576,plain,
% 190.85/190.75 (~P24(x135761,x135762,f836(f67(x135763,x135762,x135761,f182(x135764,x135765)),f836(f141(x135766),x135767)),f232(f906(x135761,a895)))),
% 190.85/190.75 inference(scs_inference,[],[4081,12692,12714,12849,12851,12853,3664,11310,12363,12466,12469,12560,12602,12606,12614,12686,12824,12826,13263,13269,13274,13278,13284,13287,13311,13416,13421,3674,12433,12860,12862,3681,3399,12882,12884,12886,3400,12910,3366,12768,4591,4592,11948,4354,12898,3403,12890,3242,3299,12814,3300,12838,3301,3302,3303,12642,12807,4590,3723,4572,10397,10407,10420,10431,10535,10538,10541,10642,10777,11087,11280,11283,11302,11305,11498,11599,11606,11620,11666,11669,11702,11717,11780,11839,11855,12152,12177,12191,12220,12226,12320,12429,12595,12656,12796,13333,13337,3484,3448,12894,3632,12124,3350,4578,10626,10726,11190,11290,13357,3040,3042,3043,3047,3048,3051,3052,3053,3054,3056,3057,3058,3066,3076,3080,3083,3086,3092,3093,3095,3097,3102,3103,3105,3108,3109,3111,3113,3116,3120,3121,3128,3137,3141,3142,3143,3153,3165,3166,3177,3180,3185,3186,3187,3188,3192,3193,3197,3198,3199,3200,3201,3211,3221,4569,3226,3298,4570,3762,3987,11886,3275,11596,3411,3387,3390,10466,10469,10562,10565,10883,11611,11614,11728,11767,11772,11881,12335,12536,12746,12798,12800,12805,12812,12818,12820,12842,12858,12880,12924,13132,13302,13420,13425,13441,3361,12627,12631,12635,3367,3376,3882,4183,3344,13195,3495,12689,12771,3264,3265,3626,3973,11642,3329,3261,3289,3742,3284,3483,4090,3981,3804,3270,3252,3894,3309,3485,11037,11164,12430,12646,3360,4055,4585,10457,10623,11495,12587,12628,12632,4588,12599,3420,11968,11971,13229,13322,13386,13390,13394,13398,4013,4614,11216,11315,11551,11554,3395,3823,3415,3533,3748,3525,4594,3499,12874,12928,3324,10527,10856,3325,4603,3585,3317,3243,3346,11632,4197,12617,12758,4057,11236,11367,11426,12571,12577,12703,12706,12736,4633,11139,11380,11489,11515,11559,11565,12516,4634,11269,11383,11492,4635,11386,11437,4636,11444,4637,3345,3624,12472,12513,12598,3788,3573,4468,4469,3608,3645,4583,11625,3766,3725,3768,3937,3692,13115,13119,13123,13127,13137,3983,12463,3610,3865,3496,10546,10665,10743,10816,10819,10859,10962,11206,11816,12022,12068,12148,12213,12291,12326,12401,12404,12740,12996,13034,13037,13098,13336,13341,3875,11872,3413,3508,11701,11983,13440,3687,4609,10434,10437,10463,10586,10761,10970,10985,11097,11537,11635,11815,12039,12044,12267,12270,12347,12519,12621,12942,12961,12964,12988,13038,13211,13216,13239,13244,4621,11744,11775,11812,11819,11852,13047,13051,3862,3633,3634,12967,12970,12973,12976,13006,13009,13368,13372,13376,4005,3598,13369,3599,13373,3458,3459,3432,4606,3323,4580,3814,4119,3617,4622,4190,11512,3747,3469,11989,11992,12437,12540,12717,4612,10425,10428,10594,10689,10708,10715,10738,10746,10749,10766,10955,11193,11406,11695,11789,11937,12057,12060,4159,4118,12141,12487,4066,10874,12497,12645,13389,4108,13393,4113,11239,12360,12436,12496,12539,13232,13360,4114,3789,11823,12151,12298,12368,12420,4147,3806,10589,10686,11242,11320,11399,11463,12319,12382,12651,12713,12733,12743,13202,13268,13273,13293,13314,4625,10988,11391,12500,13281,3429,10555,10652,10802,10866,10944,10991,10994,11025,11045,11081,11119,11158,11940,11986,12121,12176,12194,12197,12200,12203,12375,12389,12392,12395,12398,12480,12543,12662,12709,12989,13012,13070,13090,13101,13106,13109,13112,13145,13156,13169,13222,13250,13253,3430,10637,10871,10965,11084,11720,12019,12025,12036,12127,12138,12157,12162,12206,12229,12246,13003,13149,13172,13212,13217,13240,13245,3431,12407,12410,3504,12352,13067,13116,13120,13124,13128,13138,13142,4605,10474,10503,11009,11048,11057,11900,11921,12095,12098,12101,12104,12190,12209,12212,12225,12279,12282,12285,12288,12448,12451,12546,12549,12655,12695,12780,3580,10731,10822,11092,11136,11370,11373,11452,11534,11705,11951,12594,12783,13194,4617,11018,11128,11149,11152,11219,11222,11233,11336,11344,11358,11394,11411,11420,11460,11501,11506,11509,11528,11531,11568,11573,11576,11579,11582,11822,11965,11998,12273,12276,12310,12353,12378,12525,12568,12574,12674,12677,12699,12757,12763,12774,12790,13066,13082,13085,13183,13306,13325,13328,13365,13385,13419,3489,10853,10886,10895,10898,10901,11481,12696,12710,13048,13052,13055,13058,3529,13350,13411,3522,3941,3880,10506,11875,11903,13029,4613,10454,10841,10844,11339,11355,11838,11891,11925,11952,12054,12083,12086,12089,12092,12346,13256,3450,10889,11042,11112,11904,12053,12251,12456,12481,13079,13353,13439,3904,11995,12983,4238,3639,4610,3915,3949,4597,4600,4601,3406,3410,4599,4598,4361,4405,3737,11868,4332,11727,4627,10752,10755,4632,11225,11228,11414,11525,11542,11588,4023,11585,11924,11928,12605,12613,12702,13198,13262,3870,11155,11161,11179,12173,12303,12381,12670,3721,11295,11417,12413,12522,12531,12610,12665,12673,12787,13205,4195,3872,10892,11258,11423,11457,11468,12609,12659,13298,3581,3690,10805,10808,10904,11068,3689,4630,11869,4626,12951,3667,4631,10645,10758,12475,12484,12528,12727,4293,11028,12493,12508,4201,3903,12793,3848,3849,4628,10479,10482,10847,10850,11741,11929,12739,4629,11849,11934,3873,10811,11074,13340,3874,4133,4644,4670,4725,4729,4753,4768,4775,4777,4813,4818,4847,4853,4939,4965,4966,4981,5035,5036,5059,5060,5074,5078,5103,5109,5125,5129,5130,5131,5136,5137,5160,5185,5187,5188,5198,5203,5209,5245,5246,5254,5262,5266,5268,5282,5284,5291,5296,5297,5310,5316,5319,5320,5324,5352,5367,5376,5378,5379,5383,5384,5385,5395,5397,5403,5404,5405,5411,5415,5416,5417,5425,5429,5430,5436,5449,5457,5470,5472,5480,5482,5483,5486,5490,5517,5531,5532,5547,5558,5580,5586,5610,5611,5614,5633,5641,5642,5647,5648,5658,5660,5673,5677,5686,5687,5689,5690,5706,5711,5720,5721,5732,5739,5753,5757,5760,5766,5767,5768,5771,5776,5812,5813,5816,5818,5820,5822,5823,5824,5826,5828,5830,5835,5842,5857,5871,5877,5878,5890,5901,5902,5909,5913,5915,5920,5928,5966,5981,5990,5993,6003,6007,6008,6009,6010,6011,6016,6021,6031,6037,6055,6059,6068,6097,6113,6139,6156,6157,6160,6174,6176,6178,6180,6195,6196,6199,6201,6204,6205,6222,6230,6231,6232,6234,6236,6273,6274,6280,6283,6289,6293,6328,6330,6332,6334,6344,6346,6349,6355,6357,6362,6365,6373,6379,6382,6384,6385,6392,6415,6416,6417,6418,6419,6421,6428,6433,6467,6468,6471,6472,6473,6475,6476,6477,6478,6485,6520,6521,6530,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6828,6836,6845,6846,6847,6848,6868,6869,6876,6888,6891,6893,6895,6896,6897,6899,6913,6924,6925,6926,6939,6994,7007,7009,7032,7033,7069,7076,7112,7142,7198,7227,7284,7305,7312,7315,7375,7385,7448,7450,7464,7473,7474,7475,7492,7496,7498,7545,7555,7558,7572,7619,7623,7626,7670,7671,7689,7759,7777,7801,7825,7837,7851,7862,7873,7874,7901,7903,7905,7915,7953,7964,7989,8016,8049,8080,8113,8152,8168,8170,8186,8187,8254,8265,8330,8355,8374,8401,8440,8441,8458,8498,8500,8502,8508,8524,8528,8543,8564,8572,8574,8584,8589,8593,8594,8595,8596,8597,8598,8617,8632,8633,8651,8652,8657,8658,8659,8660,8661,8679,8680,8681,8691,8704,8707,8718,8723,8725,8727,8728,8729,8736,8742,8750,8753,8770,8771,8780,8781,8789,8808,8821,8825,8846,8868,8869,8872,8873,8879,8888,8889,8912,8923,8933,8934,8935,8938,8961,8962,8973,9022,9032,9034,9050,9062,9063,9064,9075,9140,9171,9172,9173,9188,9205,9213,9241,9242,9311,9346,9352,9362,9363,9364,9374,9404,9420,9424,9428,9450,9451,9478,9542,9547,9550,9587,9588,9589,9617,9618,9634,9655,9661,9673,9698,9719,9728,9729,9730,9731,9746,9748,9753,9783,9784,9790,9791,9835,9836,9847,9848,9872,9890,9892,9893,9901,9906,9913,9937,9971,9973,9977,10027,10061,10071,10073,10077,10078,10080,10089,10090,10110,10115,10209,10301,10302,10303,10304,10363,10381,2,8,9,4657,4658,4676,4718,4719,4721,4744,4746,4747,4757,4802,4804,4852,4982,4983,5001,5024,5081,5082,5088,5089,5091,5093,5102,5105,5106,5114,5127,5128,5134,5155,5156,5174,5179,5180,5181,5182,5186,5194,5197,5204,5259,5264,5265,5270,5276,5307,5317,5322,5332,5349,5351,5358,5359,5361,5372,5391,5393,5394,5401,5408,5409,5421,5422,5423,5424,5426,5427,5432,5433,5434,5435,5466,5467,5468,5476,5477,5478,5479,5523,5528,5530,5565,5567,5568,5570,5571,5573,5574,5576,5585,5590,5592,5593,5594,5596,5598,5599,5600,5601,5602,5603,5612,5622,5625,5636,5652,5653,5656,5666,5669,5670,5671,5698,5708,5723,5724,5733,5734,5736,5738,5743,5778,5783,5785,5844,5879,5880,5894,5900,5903,5904,5905,5906,5925,5929,5930,5939,5961,5995,6014,6015,6019,6020,6022,6045,6049,6052,6053,6054,6070,6081,6082,6115,6116,6120,6141,6144,6147,6168,6169,6197,6200,6209,6218,6220,6229,6233,6241,6242,6243,6244,6276,6277,6294,6348,6386,6388,6389,6412,6413,6420,6425,6426,6429,6443,6459,6480,6481,6486,6497,6500,6513,6534,6540,6542,6557,6558,6562,6564,6565,6566,6568,6570,6571,6572,6579,6585,6586,6588,6589,6595,6597,6639,6645,6660,6664,6665,6666,6700,6705,6707,6712,6713,6723,6727,6741,6764,6765,6767,6768,6779,6784,6804,6807,6829,6849,6862,6863,6864,6870,6884,6903,6905,6907,6909,6914,6920,6922,6936,6941,6942,6979,6980,6981,6998,6999,7001,7002,7022,7024,7039,7067,7090,7101,7103,7105,7107,7108,7139,7140,7141,7145,7146,7154,7156,7157,7158,7180,7189,7190,7201,7211,7251,7261,7267,7274,7285,7290,7292,7299,7319,7336,7357,7359,7378,7433,7434,7435,7437,7439,7443,7444,7449,7513,7541,7556,7571,7602,7606,7629,7654,7672,7675,7676,7686,7706,7708,7710,7712,7713,7714,7715,7716,7741,7767,7768,7800,7802,7803,7804,7810,7831,7848,7853,7859,7861,7869,7882,7883,7885,7906,7913,7934,8002,8003,8004,8052,8058,8059,8082,8083,8100,8101,8102,8159,8160,8189,8219,8228,8242,8257,8286,8290,8296,8308,8326,8331,8354,8399,8428,8442,8462,8465,8491,8517,8575,8576,8579,8580,8649,8683,8684,8685,8686,8713,8745,8774,8782,8783,8824,8845,8890,8906,8952,8955,8970,8977,9019,9058,9059,9077,9078,9092,9210,9215,9219,9239,9250,9273,9275,9278,9284,9286,9287,9298,9299,9318,9326,9337,9345,9390,9408,9463,9464,9470,9509,9534,9539,9579,9593,9597,9598,9602,9603,9616,9639,9654,9663,9664,9666,9668,9697,9817,9818,9867,9868,9907,9942,10052,10119,10275,10293,10298,3,2765,2767,2768,2769,2770,2771,2773,2774,2777,2781,2782,2787,2788,2794,2795,2796,2797,2798,2802,2803,2804,2808,2809,2814,2815,2822,2826,2827,2829,2830,2834,2843,2844,2845,2846,2847,2848,2850,2852,2853,2855,2856,2857,2866,2872,2873,2874,2896,2897,2898,2904,2905,2906,2910,2920,2922,2936,2937,2941,2944,2945,2946,2947,2949,2966,2967,2968,2969,2970,2972,2973,2974,2985,2986,2988,3012,3013,3015,3016,3030,5348,5390,5539,5540,5541,5623,5722,5752,5786,5802,5804,5810,5872,5873,5874,5875,5892,5927,6065,6104,6114,6138,6172,6210,6364,6369,6410,6411,6434,6436,6438,6445,6446,6447,6448,6449,6450,6451,6452,6535,6609,6610,6699,6736,6737,6776,6777,6921,6935,6991,7011,7012,7018,7040,7073,7075,7079,7123,7143,7144,7162,7163,7200,7245,7246,7343,7412,7413,7414,7415,7432,7465,7518,7519,7527,7532,7533,7544,7574,7575,7576,7577,7722,7723,7725,7727,7733,7734,7808,7940,7943,7949,7950,7961,7999,8000,8078,8118,8172,8194,8195,8272,8367,8438,8439,8443,8477,8513,8539,8540,8607,8625,8626,8627,8628,8778,9036,9037,9106,9120,9174,9175,9295,9330,9357,9392,9433,9637,9760,9902,10088,10144,10146,5962,6518,6519,6612,6632,6633,7064,7283,8620,8699,8946,9130,9131,9201,9202,9387,9481,9482,9483,9484,9700,9965,9979,10349,10350,6594,8531,8532,9002,9020,9966,10348,4691,4723,4724,4727,4769,4773,4778,4819,4916,4931,4963,4964,4995,4999,5058,5061,5121,5253,5292,5293,5295,5302,5303,5327,5366,5398,5420,5555,5628,5629,5630,5691,5748,5749,5775,5779,5838,5840,5849,5855,5943,6029,6136,6179,6237,6351,6479,6643,6681,6857,7118,7288,7520,7581,7920,7922,8169,8175,8871,9000])).
% 190.85/190.75 cnf(13683,plain,
% 190.85/190.75 (~P1(f836(f836(f224(a899),f836(f836(f75(a899),f836(a102,x136831)),f836(a102,x136831))),x136831))),
% 190.85/190.75 inference(rename_variables,[],[10903])).
% 190.85/190.75 cnf(13686,plain,
% 190.85/190.75 (~P1(f836(f836(f225(a899),x136861),x136861))),
% 190.85/190.75 inference(rename_variables,[],[4605])).
% 190.85/190.75 cnf(13691,plain,
% 190.85/190.75 (~P1(f836(f836(f224(a899),f836(a102,x136911)),x136911))),
% 190.85/190.75 inference(rename_variables,[],[4613])).
% 190.85/190.75 cnf(13696,plain,
% 190.85/190.75 (P1(f836(f836(f224(a899),f2(a899)),x136961))),
% 190.85/190.75 inference(rename_variables,[],[3450])).
% 190.85/190.75 cnf(13705,plain,
% 190.85/190.75 (P1(f836(f836(f224(a1),x137051),x137051))),
% 190.85/190.75 inference(rename_variables,[],[3430])).
% 190.85/190.75 cnf(13710,plain,
% 190.85/190.75 (P1(f836(f836(f225(a899),x137101),f836(a102,f836(f836(f74(a899),x137102),x137101))))),
% 190.85/190.75 inference(rename_variables,[],[3873])).
% 190.85/190.75 cnf(13713,plain,
% 190.85/190.75 (P1(f836(f836(f224(f906(x137131,a895)),x137132),f836(f836(f91(f906(x137131,a895)),x137133),f232(f906(x137131,a895)))))),
% 190.85/190.75 inference(rename_variables,[],[11398])).
% 190.85/190.75 cnf(13718,plain,
% 190.85/190.75 (E(f836(x137181,f836(f85(x137182,x137183,f232(f906(x137182,a895)),x137181),f836(x137181,x137184))),f836(x137181,x137184))),
% 190.85/190.75 inference(rename_variables,[],[11292])).
% 190.85/190.75 cnf(13721,plain,
% 190.85/190.75 (E(f836(f274(x137211,x137211),f253(x137211,x137212)),x137212)),
% 190.85/190.75 inference(rename_variables,[],[3390])).
% 190.85/190.75 cnf(13727,plain,
% 190.85/190.75 (P1(f836(f836(f225(a1),f836(f836(f23(a1),x137271),f72(a1))),x137271))),
% 190.85/190.75 inference(rename_variables,[],[10964])).
% 190.85/190.75 cnf(13730,plain,
% 190.85/190.75 (P1(f836(f836(f224(f906(x137301,a895)),f836(f162(x137301),f166(x137301,x137302,x137303))),f836(f162(x137301),x137302)))),
% 190.85/190.75 inference(rename_variables,[],[4113])).
% 190.85/190.75 cnf(13733,plain,
% 190.85/190.75 (~E(f836(f836(f141(x137331),x137332),x137333),x137333)),
% 190.85/190.75 inference(rename_variables,[],[4585])).
% 190.85/190.75 cnf(13736,plain,
% 190.85/190.75 (~P1(f836(f836(f224(a899),f836(f836(f75(a899),f836(a102,x137361)),f836(a102,x137361))),x137361))),
% 190.85/190.75 inference(rename_variables,[],[10903])).
% 190.85/190.75 cnf(13744,plain,
% 190.85/190.75 (~P1(f836(f836(f318(a899),x137441),f836(f272(a899),f2(a899))))),
% 190.85/190.75 inference(rename_variables,[],[12016])).
% 190.85/190.75 cnf(13749,plain,
% 190.85/190.75 (P1(f836(f836(f224(f906(x137491,a895)),f836(f275(x137492,x137491,x137493),f178(f906(x137492,a895)))),x137494))),
% 190.85/190.75 inference(rename_variables,[],[11467])).
% 190.85/190.75 cnf(13752,plain,
% 190.85/190.75 (~P1(f836(f836(f318(x137521),x137522),f836(f301(x137521,x137523,x137524),f178(f906(x137523,a895)))))),
% 190.85/190.75 inference(rename_variables,[],[11151])).
% 190.85/190.75 cnf(13757,plain,
% 190.85/190.75 (P1(f836(f836(f224(a899),f2(a899)),x137571))),
% 190.85/190.75 inference(rename_variables,[],[3450])).
% 190.85/190.75 cnf(13760,plain,
% 190.85/190.75 (E(f836(f836(f124(x137601),x137602),f103(x137601)),x137602)),
% 190.85/190.75 inference(rename_variables,[],[3361])).
% 190.85/190.75 cnf(13770,plain,
% 190.85/190.75 (P1(f836(f836(f318(x137701),f836(x137702,x137703)),f836(f300(x137704,x137701,x137702),f232(f906(x137704,a895)))))),
% 190.85/190.75 inference(rename_variables,[],[4023])).
% 190.85/190.75 cnf(13781,plain,
% 190.85/190.75 (~P1(f836(f57(x137811,x137812,f178(f906(x137811,a895))),x137813))),
% 190.85/190.75 inference(rename_variables,[],[4627])).
% 190.85/190.75 cnf(13786,plain,
% 190.85/190.75 (P1(f836(f836(f224(f906(x137861,a895)),x137862),x137862))),
% 190.85/190.75 inference(rename_variables,[],[3721])).
% 190.85/190.75 cnf(13789,plain,
% 190.85/190.75 (~P1(f836(f836(f318(f905(f900(x137891),f900(x137891))),f836(f836(f242(f900(x137891),f900(x137891)),f103(x137891)),x137892)),f147(x137891,x137893)))),
% 190.85/190.75 inference(rename_variables,[],[4637])).
% 190.85/190.75 cnf(13792,plain,
% 190.85/190.75 (E(f836(f274(x137921,x137921),f253(x137921,x137922)),x137922)),
% 190.85/190.75 inference(rename_variables,[],[3390])).
% 190.85/190.75 cnf(13797,plain,
% 190.85/190.75 (~P1(f836(f836(f318(x137971),x137972),f836(f300(x137973,x137971,x137974),f178(f906(x137973,a895)))))),
% 190.85/190.75 inference(rename_variables,[],[11393])).
% 190.85/190.75 cnf(13802,plain,
% 190.85/190.75 (~P1(f836(f836(f318(x138021),x138022),f836(f301(x138021,x138023,x138024),f178(f906(x138023,a895)))))),
% 190.85/190.75 inference(rename_variables,[],[11151])).
% 190.85/190.75 cnf(13807,plain,
% 190.85/190.75 (~P33(x138071,x138072,x138073,f836(f836(f144(x138074,x138071),x138075),f836(a102,f103(x138074))),f103(x138072))),
% 190.85/190.75 inference(rename_variables,[],[11428])).
% 190.85/190.75 cnf(13810,plain,
% 190.85/190.75 (P1(f836(f836(f224(f906(x138101,a895)),x138102),f836(f836(f299(x138101),x138103),x138102)))),
% 190.85/190.75 inference(rename_variables,[],[3870])).
% 190.85/190.75 cnf(13820,plain,
% 190.85/190.75 (P1(f836(f836(f277(a899),x138201),x138201))),
% 190.85/190.75 inference(rename_variables,[],[3431])).
% 190.85/190.75 cnf(13825,plain,
% 190.85/190.75 (P1(f836(f836(f224(a899),x138251),x138251))),
% 190.85/190.75 inference(rename_variables,[],[3429])).
% 190.85/190.75 cnf(13830,plain,
% 190.85/190.75 (~E(f836(f836(f141(x138301),x138302),x138303),x138303)),
% 190.85/190.75 inference(rename_variables,[],[4585])).
% 190.85/190.75 cnf(13835,plain,
% 190.85/190.75 (~E(f836(f836(f141(x138351),x138352),x138353),f103(x138351))),
% 190.85/190.75 inference(rename_variables,[],[4588])).
% 190.85/190.75 cnf(13838,plain,
% 190.85/190.75 (~P1(f836(f836(f225(a899),x138381),x138381))),
% 190.85/190.75 inference(rename_variables,[],[4605])).
% 190.85/190.75 cnf(13841,plain,
% 190.85/190.75 (~P1(f836(f836(f318(x138411),x138412),f178(f906(x138411,a895))))),
% 190.85/190.75 inference(rename_variables,[],[4617])).
% 190.85/190.75 cnf(13844,plain,
% 190.85/190.75 (P1(f836(f836(f224(a899),x138441),f836(f836(f75(a899),x138441),x138441)))),
% 190.85/190.75 inference(rename_variables,[],[3690])).
% 190.85/190.75 cnf(13847,plain,
% 190.85/190.75 (P1(f836(f836(f224(f906(x138471,a895)),f178(f906(x138471,a895))),x138472))),
% 190.85/190.75 inference(rename_variables,[],[3872])).
% 190.85/190.75 cnf(13850,plain,
% 190.85/190.75 (E(f836(f300(x138501,x138501,f25(x138501)),x138502),x138502)),
% 190.85/190.75 inference(rename_variables,[],[3486])).
% 190.85/190.75 cnf(13853,plain,
% 190.85/190.75 (~E(f836(f836(f141(x138531),x138532),x138533),x138533)),
% 190.85/190.75 inference(rename_variables,[],[4585])).
% 190.85/190.75 cnf(13858,plain,
% 190.85/190.75 (E(f836(x138581,f836(f85(x138582,x138583,f232(f906(x138582,a895)),x138581),f836(x138581,x138584))),f836(x138581,x138584))),
% 190.85/190.75 inference(rename_variables,[],[11292])).
% 190.85/190.75 cnf(13861,plain,
% 190.85/190.75 (E(f836(f836(f124(x138611),x138612),f103(x138611)),x138612)),
% 190.85/190.75 inference(rename_variables,[],[3361])).
% 190.85/190.75 cnf(13868,plain,
% 190.85/190.75 (~P1(f836(f836(f318(f905(x138681,x138681)),x138682),f253(x138681,f178(f906(x138681,a895)))))),
% 190.85/190.75 inference(rename_variables,[],[11148])).
% 190.85/190.75 cnf(13873,plain,
% 190.85/190.75 (~P1(f836(f836(f178(f906(x138731,f906(x138732,a895))),x138733),x138734))),
% 190.85/190.75 inference(rename_variables,[],[4631])).
% 190.85/190.75 cnf(13876,plain,
% 190.85/190.75 (P1(f836(f836(f224(f906(x138761,a895)),f836(f162(x138761),f166(x138761,x138762,x138763))),f836(f162(x138761),x138762)))),
% 190.85/190.75 inference(rename_variables,[],[4113])).
% 190.85/190.76 cnf(13879,plain,
% 190.85/190.76 (~P1(f836(f836(f225(a899),f836(f836(f74(a899),x138791),x138792)),x138791))),
% 190.85/190.76 inference(rename_variables,[],[4629])).
% 190.85/190.76 cnf(13899,plain,
% 190.85/190.76 (~P1(f836(f836(f318(x138991),x138992),f836(f301(x138991,x138993,x138994),f178(f906(x138993,a895)))))),
% 190.85/190.76 inference(rename_variables,[],[11151])).
% 190.85/190.76 cnf(13904,plain,
% 190.85/190.76 (P1(f836(f836(f224(a899),f41(a899,x139041,x139042)),x139041))),
% 190.85/190.76 inference(rename_variables,[],[3880])).
% 190.85/190.76 cnf(13913,plain,
% 190.85/190.76 (~P1(f836(f836(f318(f905(x139131,x139131)),x139132),f253(x139131,f178(f906(x139131,a895)))))),
% 190.85/190.76 inference(rename_variables,[],[11148])).
% 190.85/190.76 cnf(13921,plain,
% 190.85/190.76 (~P1(f836(f836(f178(f906(x139211,f906(x139212,a895))),x139213),x139214))),
% 190.85/190.76 inference(rename_variables,[],[4631])).
% 190.85/190.76 cnf(13924,plain,
% 190.85/190.76 (~P1(f836(f836(f318(x139241),x139242),f178(f906(x139241,a895))))),
% 190.85/190.76 inference(rename_variables,[],[4617])).
% 190.85/190.76 cnf(13927,plain,
% 190.85/190.76 (P1(f836(f836(f224(a899),x139271),f836(f836(f74(a899),x139271),x139272)))),
% 190.85/190.76 inference(rename_variables,[],[3689])).
% 190.85/190.76 cnf(13936,plain,
% 190.85/190.76 (~P1(f836(f836(f318(a899),x139361),f836(f272(a899),f2(a899))))),
% 190.85/190.76 inference(rename_variables,[],[12016])).
% 190.85/190.76 cnf(13949,plain,
% 190.85/190.76 (P1(f836(f836(f225(a899),x139491),f836(a102,f836(f836(f74(a899),x139491),x139492))))),
% 190.85/190.76 inference(rename_variables,[],[3874])).
% 190.85/190.76 cnf(13952,plain,
% 190.85/190.76 (P1(f836(f836(f224(f906(x139521,a895)),x139522),x139522))),
% 190.85/190.76 inference(rename_variables,[],[3721])).
% 190.85/190.76 cnf(13957,plain,
% 190.85/190.76 (P1(f836(f836(f225(a1),f836(f836(f23(a1),x139571),f72(a1))),x139571))),
% 190.85/190.76 inference(rename_variables,[],[10964])).
% 190.85/190.76 cnf(13966,plain,
% 190.85/190.76 (P1(f836(f836(f225(a1),f836(f836(f23(a1),x139661),f72(a1))),x139661))),
% 190.85/190.76 inference(rename_variables,[],[10964])).
% 190.85/190.76 cnf(13976,plain,
% 190.85/190.76 (~E(f836(f836(f141(x139761),x139762),x139763),x139763)),
% 190.85/190.76 inference(rename_variables,[],[4585])).
% 190.85/190.76 cnf(13985,plain,
% 190.85/190.76 (P1(f836(f836(f224(f906(x139851,a895)),f836(f162(x139851),f166(x139851,x139852,x139853))),f836(f162(x139851),x139852)))),
% 190.85/190.76 inference(rename_variables,[],[4113])).
% 190.85/190.76 cnf(13996,plain,
% 190.85/190.76 (~E(f836(f836(f299(x139961),x139962),x139963),f178(f906(x139961,a895)))),
% 190.85/190.76 inference(rename_variables,[],[4594])).
% 190.85/190.76 cnf(14009,plain,
% 190.85/190.76 (P1(f836(f836(f224(a899),x140091),f836(f836(f75(a899),x140091),x140091)))),
% 190.85/190.76 inference(rename_variables,[],[3690])).
% 190.85/190.76 cnf(14014,plain,
% 190.85/190.76 (~P1(f836(f57(x140141,x140142,f178(f906(x140141,a895))),x140143))),
% 190.85/190.76 inference(rename_variables,[],[4627])).
% 190.85/190.76 cnf(14017,plain,
% 190.85/190.76 (~P1(f836(f836(f318(x140171),x140172),f178(f906(x140171,a895))))),
% 190.85/190.76 inference(rename_variables,[],[4617])).
% 190.85/190.76 cnf(14024,plain,
% 190.85/190.76 (~P1(f836(f836(f318(f905(x140241,x140241)),x140242),f253(x140241,f178(f906(x140241,a895)))))),
% 190.85/190.76 inference(rename_variables,[],[11148])).
% 190.85/190.76 cnf(14031,plain,
% 190.85/190.76 (E(f836(x140311,f836(f85(x140312,x140313,f232(f906(x140312,a895)),x140311),f836(x140311,x140314))),f836(x140311,x140314))),
% 190.85/190.76 inference(rename_variables,[],[11292])).
% 190.85/190.76 cnf(14034,plain,
% 190.85/190.76 (P1(f836(f836(f277(a899),x140341),x140341))),
% 190.85/190.76 inference(rename_variables,[],[3431])).
% 190.85/190.76 cnf(14037,plain,
% 190.85/190.76 (P1(f836(f836(f318(x140371),f836(x140372,x140373)),f836(f300(x140374,x140371,x140372),f232(f906(x140374,a895)))))),
% 190.85/190.76 inference(rename_variables,[],[4023])).
% 190.85/190.76 cnf(14040,plain,
% 190.85/190.76 (P1(f836(f836(f224(a899),f2(a899)),x140401))),
% 190.85/190.76 inference(rename_variables,[],[3450])).
% 190.85/190.76 cnf(14043,plain,
% 190.85/190.76 (~P1(f836(f836(f318(x140431),x140432),f178(f906(x140431,a895))))),
% 190.85/190.76 inference(rename_variables,[],[4617])).
% 190.85/190.76 cnf(14046,plain,
% 190.85/190.76 (~P1(f836(f836(f318(f905(x140461,x140461)),x140462),f253(x140461,f178(f906(x140461,a895)))))),
% 190.85/190.76 inference(rename_variables,[],[11148])).
% 190.85/190.76 cnf(14071,plain,
% 190.85/190.76 (~E(f836(f836(f141(x140711),x140712),x140713),x140713)),
% 190.85/190.76 inference(rename_variables,[],[4585])).
% 190.85/190.76 cnf(14074,plain,
% 190.85/190.76 (~P1(f836(f836(f318(f905(x140741,x140741)),x140742),f253(x140741,f178(f906(x140741,a895)))))),
% 190.85/190.76 inference(rename_variables,[],[11148])).
% 190.85/190.76 cnf(14080,plain,
% 190.85/190.76 (E(f836(f274(x140801,x140801),f253(x140801,x140802)),x140802)),
% 190.85/190.76 inference(rename_variables,[],[3390])).
% 190.85/190.76 cnf(14083,plain,
% 190.85/190.76 (P1(f836(f836(f224(f906(x140831,a895)),x140832),x140832))),
% 190.85/190.76 inference(rename_variables,[],[3721])).
% 190.85/190.76 cnf(14086,plain,
% 190.85/190.76 (~E(f836(a102,x140861),f2(a899))),
% 190.85/190.76 inference(rename_variables,[],[4578])).
% 190.85/190.76 cnf(14095,plain,
% 190.85/190.76 (~P33(x140951,x140952,x140953,f836(f836(f144(x140954,x140951),x140955),f836(a102,f103(x140954))),f103(x140952))),
% 190.85/190.76 inference(rename_variables,[],[11428])).
% 190.85/190.76 cnf(14100,plain,
% 190.85/190.76 (P1(f836(f836(f224(f906(x141001,a895)),f836(f162(x141001),f166(x141001,x141002,x141003))),f836(f162(x141001),x141002)))),
% 190.85/190.76 inference(rename_variables,[],[4113])).
% 190.85/190.76 cnf(14103,plain,
% 190.85/190.76 (P1(f836(f836(f277(a899),x141031),x141031))),
% 190.85/190.76 inference(rename_variables,[],[3431])).
% 190.85/190.76 cnf(14106,plain,
% 190.85/190.76 (~P1(f836(f836(f318(x141061),x141062),f178(f906(x141061,a895))))),
% 190.85/190.76 inference(rename_variables,[],[4617])).
% 190.85/190.76 cnf(14111,plain,
% 190.85/190.76 (P1(f836(f836(f318(x141111),f836(x141112,x141113)),f836(f300(x141114,x141111,x141112),f232(f906(x141114,a895)))))),
% 190.85/190.76 inference(rename_variables,[],[4023])).
% 190.85/190.76 cnf(14114,plain,
% 190.85/190.76 (~P1(f836(f836(f225(a899),f836(f836(f74(a899),x141141),x141142)),x141141))),
% 190.85/190.76 inference(rename_variables,[],[4629])).
% 190.85/190.76 cnf(14119,plain,
% 190.85/190.76 (P1(f836(f836(f224(a899),x141191),f836(f836(f75(a899),x141191),x141191)))),
% 190.85/190.76 inference(rename_variables,[],[3690])).
% 190.85/190.76 cnf(14124,plain,
% 190.85/190.76 (~E(f836(f836(f141(x141241),x141242),x141243),f103(x141241))),
% 190.85/190.76 inference(rename_variables,[],[4588])).
% 190.85/190.76 cnf(14140,plain,
% 190.85/190.76 (P1(f836(f836(f224(f906(x141401,a895)),f836(f162(x141401),f166(x141401,x141402,x141403))),f836(f162(x141401),x141402)))),
% 190.85/190.76 inference(rename_variables,[],[4113])).
% 190.85/190.76 cnf(14153,plain,
% 190.85/190.76 (E(f836(x141531,f836(f85(x141532,x141533,f232(f906(x141532,a895)),x141531),f836(x141531,x141534))),f836(x141531,x141534))),
% 190.85/190.76 inference(rename_variables,[],[11292])).
% 190.85/190.76 cnf(14166,plain,
% 190.85/190.76 (~P1(f836(f836(f318(x141661),x141662),f178(f906(x141661,a895))))),
% 190.85/190.76 inference(rename_variables,[],[4617])).
% 190.85/190.76 cnf(14174,plain,
% 190.85/190.76 (~E(f836(f836(f141(x141741),x141742),x141743),x141743)),
% 190.85/190.76 inference(rename_variables,[],[4585])).
% 190.85/190.76 cnf(14179,plain,
% 190.85/190.76 (~E(x141791,f836(a102,x141791))),
% 190.85/190.76 inference(rename_variables,[],[10489])).
% 190.85/190.76 cnf(14184,plain,
% 190.85/190.76 (E(f836(f274(x141841,x141841),f253(x141841,x141842)),x141842)),
% 190.85/190.76 inference(rename_variables,[],[3390])).
% 190.85/190.76 cnf(14191,plain,
% 190.85/190.76 (~E(f836(f836(f141(x141911),x141912),x141913),f103(x141911))),
% 190.85/190.76 inference(rename_variables,[],[4588])).
% 190.85/190.76 cnf(14194,plain,
% 190.85/190.76 (~P1(f836(f836(f318(x141941),x141942),f178(f906(x141941,a895))))),
% 190.85/190.76 inference(rename_variables,[],[4617])).
% 190.85/190.76 cnf(14197,plain,
% 190.85/190.76 (~P1(f836(f836(f318(a899),x141971),f836(f272(a899),f2(a899))))),
% 190.85/190.76 inference(rename_variables,[],[12016])).
% 190.85/190.76 cnf(14202,plain,
% 190.85/190.76 (P1(f836(f836(f224(a899),x142021),f836(f836(f74(a899),x142021),x142022)))),
% 190.85/190.76 inference(rename_variables,[],[3689])).
% 190.85/190.76 cnf(14205,plain,
% 190.85/190.76 (~P1(f836(f836(f318(a899),x142051),f836(f272(a899),f2(a899))))),
% 190.85/190.76 inference(rename_variables,[],[12016])).
% 190.85/190.76 cnf(14208,plain,
% 190.85/190.76 (E(f836(x142081,f836(f85(x142082,x142083,f232(f906(x142082,a895)),x142081),f836(x142081,x142084))),f836(x142081,x142084))),
% 190.85/190.76 inference(rename_variables,[],[11292])).
% 190.85/190.76 cnf(14211,plain,
% 190.85/190.76 (P30(x142111,f836(f277(a899),f836(a102,f2(a899))),x142112)),
% 190.85/190.76 inference(rename_variables,[],[11145])).
% 190.85/190.76 cnf(14214,plain,
% 190.85/190.76 (~P1(f836(f57(x142141,x142142,f178(f906(x142141,a895))),x142143))),
% 190.85/190.76 inference(rename_variables,[],[4627])).
% 190.85/190.76 cnf(14219,plain,
% 190.85/190.76 (P1(f836(f836(f224(a899),x142191),f836(f836(f75(a899),x142191),x142191)))),
% 190.85/190.76 inference(rename_variables,[],[3690])).
% 190.85/190.76 cnf(14225,plain,
% 190.85/190.76 (~P1(f836(f836(f318(f905(x142251,x142251)),x142252),f253(x142251,f178(f906(x142251,a895)))))),
% 190.85/190.76 inference(rename_variables,[],[11148])).
% 190.85/190.76 cnf(14228,plain,
% 190.85/190.76 (~P1(f836(f836(f225(a899),x142281),x142281))),
% 190.85/190.76 inference(rename_variables,[],[4605])).
% 190.85/190.76 cnf(14231,plain,
% 190.85/190.76 (~P1(f836(f836(f318(x142311),x142312),f836(f300(x142313,x142311,x142314),f178(f906(x142313,a895)))))),
% 190.85/190.76 inference(rename_variables,[],[11393])).
% 190.85/190.76 cnf(14240,plain,
% 190.85/190.76 (~P1(f836(f836(f318(a899),x142401),f836(f272(a899),f2(a899))))),
% 190.85/190.76 inference(rename_variables,[],[12016])).
% 190.85/190.76 cnf(14246,plain,
% 190.85/190.76 (~E(f836(f836(f141(x142461),x142462),x142463),x142463)),
% 190.85/190.76 inference(rename_variables,[],[4585])).
% 190.85/190.76 cnf(14258,plain,
% 190.85/190.76 (~P1(f836(f836(f318(a899),x142581),f836(f272(a899),f2(a899))))),
% 190.85/190.76 inference(rename_variables,[],[12016])).
% 190.85/190.76 cnf(14264,plain,
% 190.85/190.76 (~P1(f836(f836(f318(a899),x142641),f836(f272(a899),f2(a899))))),
% 190.85/190.76 inference(rename_variables,[],[12016])).
% 190.85/190.76 cnf(14293,plain,
% 190.85/190.76 (P1(f836(f836(f224(a899),f2(a899)),x142931))),
% 190.85/190.76 inference(rename_variables,[],[3450])).
% 190.85/190.76 cnf(14296,plain,
% 190.85/190.76 (P1(f836(f836(f224(f906(x142961,a895)),f836(f162(x142961),f166(x142961,x142962,x142963))),f836(f162(x142961),x142962)))),
% 190.85/190.76 inference(rename_variables,[],[4113])).
% 190.85/190.76 cnf(14311,plain,
% 190.85/190.76 (~P1(f836(f836(f318(a899),x143111),f836(f272(a899),f2(a899))))),
% 190.85/190.76 inference(rename_variables,[],[12016])).
% 190.85/190.76 cnf(14316,plain,
% 190.85/190.76 (~P1(f836(f836(f318(a899),x143161),f836(f272(a899),f2(a899))))),
% 190.85/190.76 inference(rename_variables,[],[12016])).
% 190.85/190.76 cnf(14319,plain,
% 190.85/190.76 (~P1(f836(f836(f318(x143191),x143192),f178(f906(x143191,a895))))),
% 190.85/190.76 inference(rename_variables,[],[4617])).
% 190.85/190.76 cnf(14326,plain,
% 190.85/190.76 (~P1(f836(f836(f318(f905(x143261,x143261)),x143262),f253(x143261,f178(f906(x143261,a895)))))),
% 190.85/190.76 inference(rename_variables,[],[11148])).
% 190.85/190.76 cnf(14333,plain,
% 190.85/190.76 (P1(f836(f836(f224(f906(x143331,a895)),f836(f162(x143331),f166(x143331,x143332,x143333))),f836(f162(x143331),x143332)))),
% 190.85/190.76 inference(rename_variables,[],[4113])).
% 190.85/190.76 cnf(14346,plain,
% 190.85/190.76 (E(f836(f836(f124(x143461),f103(x143461)),x143462),x143462)),
% 190.85/190.76 inference(rename_variables,[],[3385])).
% 190.85/190.76 cnf(14349,plain,
% 190.85/190.76 (~P1(f836(f836(f318(x143491),x143492),f178(f906(x143491,a895))))),
% 190.85/190.76 inference(rename_variables,[],[4617])).
% 190.85/190.76 cnf(14352,plain,
% 190.85/190.76 (E(f836(f274(x143521,x143521),f253(x143521,x143522)),x143522)),
% 190.85/190.76 inference(rename_variables,[],[3390])).
% 190.85/190.76 cnf(14355,plain,
% 190.85/190.76 (~P1(f836(f836(f318(x143551),x143552),f178(f906(x143551,a895))))),
% 190.85/190.76 inference(rename_variables,[],[4617])).
% 190.85/190.76 cnf(14366,plain,
% 190.85/190.76 (P1(f836(f836(f224(a899),x143661),f836(f836(f74(a899),x143661),x143662)))),
% 190.85/190.76 inference(rename_variables,[],[3689])).
% 190.85/190.76 cnf(14369,plain,
% 190.85/190.76 (~P1(f836(f57(x143691,x143692,f178(f906(x143691,a895))),x143693))),
% 190.85/190.76 inference(rename_variables,[],[4627])).
% 190.85/190.76 cnf(14378,plain,
% 190.85/190.76 (~P1(f836(f836(f318(f905(x143781,x143781)),x143782),f253(x143781,f178(f906(x143781,a895)))))),
% 190.85/190.76 inference(rename_variables,[],[11148])).
% 190.85/190.76 cnf(14385,plain,
% 190.85/190.76 (~P1(f836(f836(f318(f905(x143851,x143851)),x143852),f253(x143851,f178(f906(x143851,a895)))))),
% 190.85/190.76 inference(rename_variables,[],[11148])).
% 190.85/190.76 cnf(14391,plain,
% 190.85/190.76 (P1(f836(f836(f224(a899),x143911),f836(f836(f74(a899),x143911),x143912)))),
% 190.85/190.76 inference(rename_variables,[],[3689])).
% 190.85/190.76 cnf(14398,plain,
% 190.85/190.76 (~E(f836(f836(f228(a899),f836(a102,x143981)),x143981),f836(a102,x143981))),
% 190.85/190.76 inference(rename_variables,[],[11758])).
% 190.85/190.76 cnf(14401,plain,
% 190.85/190.76 (~P1(f836(f836(f318(x144011),x144012),f178(f906(x144011,a895))))),
% 190.85/190.76 inference(rename_variables,[],[4617])).
% 190.85/190.76 cnf(14404,plain,
% 190.85/190.76 (P1(f836(f836(f225(a1),f836(f836(f23(a1),x144041),f72(a1))),x144041))),
% 190.85/190.76 inference(rename_variables,[],[10964])).
% 190.85/190.76 cnf(14407,plain,
% 190.85/190.76 (P1(f836(f836(f224(f906(x144071,a895)),f836(f300(x144072,x144071,x144073),f836(f301(x144072,x144071,x144073),x144074))),x144074))),
% 190.85/190.76 inference(rename_variables,[],[4293])).
% 190.85/190.76 cnf(14430,plain,
% 190.85/190.76 (~P1(f836(f836(f318(f905(f900(x144301),f900(x144301))),f836(f836(f242(f900(x144301),f900(x144301)),x144302),f103(x144301))),f147(x144301,x144303)))),
% 190.85/190.76 inference(rename_variables,[],[4635])).
% 190.85/190.76 cnf(14435,plain,
% 190.85/190.76 (~P1(f836(f836(f318(f905(x144351,x144351)),x144352),f253(x144351,f178(f906(x144351,a895)))))),
% 190.85/190.76 inference(rename_variables,[],[11148])).
% 190.85/190.76 cnf(14441,plain,
% 190.85/190.76 (E(f836(x144411,f836(f85(x144412,x144413,f232(f906(x144412,a895)),x144411),f836(x144411,x144414))),f836(x144411,x144414))),
% 190.85/190.76 inference(rename_variables,[],[11292])).
% 190.85/190.76 cnf(14459,plain,
% 190.85/190.76 (P33(x144591,x144592,x144593,f836(f836(f144(x144594,x144591),x144595),f104(x144594,f103(x144594))),f103(x144592))),
% 190.85/190.76 inference(rename_variables,[],[11432])).
% 190.85/190.76 cnf(14462,plain,
% 190.85/190.76 (P1(f836(f836(f224(a899),x144621),f836(f836(f75(a899),x144621),x144621)))),
% 190.85/190.76 inference(rename_variables,[],[3690])).
% 190.85/190.76 cnf(14471,plain,
% 190.85/190.76 (~P1(f836(f836(f224(a899),f836(f836(f75(a899),f836(a102,x144711)),f836(a102,x144711))),x144711))),
% 190.85/190.76 inference(rename_variables,[],[10903])).
% 190.85/190.76 cnf(14474,plain,
% 190.85/190.76 (E(f836(f836(f124(x144741),x144742),f103(x144741)),x144742)),
% 190.85/190.76 inference(rename_variables,[],[3361])).
% 190.85/190.76 cnf(14492,plain,
% 190.85/190.76 (P1(f836(f836(f318(x144921),f836(x144922,x144923)),f836(f300(x144924,x144921,x144922),f232(f906(x144924,a895)))))),
% 190.85/190.76 inference(rename_variables,[],[4023])).
% 190.85/190.76 cnf(14507,plain,
% 190.85/190.76 (~E(f836(f836(f141(x145071),x145072),x145073),x145073)),
% 190.85/190.76 inference(rename_variables,[],[4585])).
% 190.85/190.76 cnf(14512,plain,
% 190.85/190.76 (E(f836(f836(f124(x145121),x145122),f103(x145121)),x145122)),
% 190.85/190.76 inference(rename_variables,[],[3361])).
% 190.85/190.76 cnf(14533,plain,
% 190.85/190.76 (~P1(f836(f57(x145331,x145332,f178(f906(x145331,a895))),x145333))),
% 190.85/190.76 inference(rename_variables,[],[4627])).
% 190.85/190.76 cnf(14536,plain,
% 190.85/190.76 (P1(f836(f836(f318(x145361),f836(x145362,x145363)),f836(f300(x145364,x145361,x145362),f232(f906(x145364,a895)))))),
% 190.85/190.76 inference(rename_variables,[],[4023])).
% 190.85/190.76 cnf(14541,plain,
% 190.85/190.76 (P1(f836(f836(f224(a899),x145411),f836(f836(f75(a899),x145411),x145411)))),
% 190.85/190.76 inference(rename_variables,[],[3690])).
% 190.85/190.76 cnf(14553,plain,
% 190.85/190.76 (~P1(f836(f836(f318(f905(x145531,x145531)),x145532),f253(x145531,f178(f906(x145531,a895)))))),
% 190.85/190.76 inference(rename_variables,[],[11148])).
% 190.85/190.76 cnf(14573,plain,
% 190.85/190.76 (~E(f836(f836(f228(a899),f836(a102,x145731)),x145731),f836(a102,x145731))),
% 190.85/190.76 inference(rename_variables,[],[11758])).
% 190.85/190.76 cnf(14576,plain,
% 190.85/190.76 (~E(x145761,f836(a102,x145761))),
% 190.85/190.76 inference(rename_variables,[],[10489])).
% 190.85/190.76 cnf(14588,plain,
% 190.85/190.76 (~E(f836(f836(f141(x145881),x145882),x145883),x145883)),
% 190.85/190.76 inference(rename_variables,[],[4585])).
% 190.85/190.76 cnf(14593,plain,
% 190.85/190.76 (~P1(f836(f836(f225(a899),f836(f836(f74(a899),x145931),x145932)),x145932))),
% 190.85/190.76 inference(rename_variables,[],[4628])).
% 190.85/190.76 cnf(14599,plain,
% 190.85/190.76 (~P1(f836(f836(f318(f905(f900(x145991),f900(x145991))),f836(f836(f242(f900(x145991),f900(x145991)),x145992),f103(x145991))),f137(x145991,x145993)))),
% 190.85/190.76 inference(rename_variables,[],[4634])).
% 190.85/190.76 cnf(14602,plain,
% 190.85/190.76 (P1(f836(f836(f318(f905(x146021,x146021)),f836(f836(f242(x146021,x146021),x146022),x146022)),f297(x146021,x146023)))),
% 190.85/190.76 inference(rename_variables,[],[4057])).
% 190.85/190.76 cnf(14605,plain,
% 190.85/190.76 (P1(f836(f836(f225(a1),f836(f836(f23(a1),x146051),f72(a1))),x146051))),
% 190.85/190.76 inference(rename_variables,[],[10964])).
% 190.85/190.76 cnf(14615,plain,
% 190.85/190.76 (E(f836(x146151,f836(f85(x146152,x146153,f232(f906(x146152,a895)),x146151),f836(x146151,x146154))),f836(x146151,x146154))),
% 190.85/190.76 inference(rename_variables,[],[11292])).
% 190.85/190.76 cnf(14624,plain,
% 190.85/190.76 (E(f836(x146241,f836(f85(x146242,x146243,f232(f906(x146242,a895)),x146241),f836(x146241,x146244))),f836(x146241,x146244))),
% 190.85/190.76 inference(rename_variables,[],[11292])).
% 190.85/190.76 cnf(14640,plain,
% 190.85/190.76 (~E(f836(f836(f141(x146401),x146402),x146403),x146403)),
% 190.85/190.76 inference(rename_variables,[],[4585])).
% 190.85/190.76 cnf(14655,plain,
% 190.85/190.76 (~P1(f836(f836(f318(x146551),x146552),f836(f301(x146551,x146553,x146554),f178(f906(x146553,a895)))))),
% 190.85/190.76 inference(rename_variables,[],[11151])).
% 190.85/190.76 cnf(14675,plain,
% 190.85/190.76 (~E(f836(f836(f141(x146751),x146752),x146753),x146753)),
% 190.85/190.76 inference(rename_variables,[],[4585])).
% 190.85/190.76 cnf(14687,plain,
% 190.85/190.76 (P1(f836(f836(f224(f906(x146871,a895)),x146872),x146872))),
% 190.85/190.76 inference(rename_variables,[],[3721])).
% 190.85/190.76 cnf(14714,plain,
% 190.85/190.76 (P1(f836(f836(f224(f906(x147141,a895)),f836(f162(x147141),f166(x147141,x147142,x147143))),f836(f162(x147141),x147142)))),
% 190.85/190.76 inference(rename_variables,[],[4113])).
% 190.85/190.76 cnf(14717,plain,
% 190.85/190.76 (~E(f836(f836(f141(x147171),x147172),x147173),x147173)),
% 190.85/190.76 inference(rename_variables,[],[4585])).
% 190.85/190.76 cnf(14740,plain,
% 190.85/190.76 (~P1(f836(f836(f318(f905(x147401,x147401)),x147402),f253(x147401,f178(f906(x147401,a895)))))),
% 190.85/190.76 inference(rename_variables,[],[11148])).
% 190.85/190.76 cnf(14757,plain,
% 190.85/190.76 (~P1(f836(f836(f225(a899),f836(f836(f74(a899),x147571),x147572)),x147571))),
% 190.85/190.76 inference(rename_variables,[],[4629])).
% 190.85/190.76 cnf(14772,plain,
% 190.85/190.76 (~P1(f836(f836(f225(a899),x147721),x147721))),
% 190.85/190.76 inference(rename_variables,[],[4605])).
% 190.85/190.76 cnf(14892,plain,
% 190.85/190.76 ($false),
% 190.85/190.76 inference(scs_inference,[],[3458,3862,3459,4159,4197,4005,3226,3431,13820,14034,14103,4630,4597,3432,3410,4606,4057,14602,3504,4599,3522,3875,4633,4023,13770,14037,14111,14492,14536,4617,13841,13924,14017,14043,14106,14166,14194,14319,14349,14355,14401,4113,13730,13876,13985,14100,14140,14296,14333,14714,3529,3903,4578,14086,4585,13733,13830,13853,13976,14071,14174,14246,14507,14588,14640,14675,14717,4588,13835,14124,14191,4594,13996,3413,3508,4190,4066,3429,13825,3430,13705,3880,13904,3450,13696,13757,14040,14293,3737,3870,13810,3721,13786,13952,14083,14687,3872,13847,3581,3690,13844,14009,14119,14219,14462,14541,3689,13927,14202,14366,14391,4293,14407,3873,13710,3874,13949,3390,13721,13792,14080,14184,14352,3361,13760,13861,14474,14512,3385,14346,4634,14599,4635,14430,4637,13789,4605,13686,13838,14228,14772,4613,13691,4627,13781,14014,14214,14369,14533,4626,4631,13873,13921,4628,14593,4629,13879,14114,14757,3632,11758,14398,14573,10489,14179,14576,13343,10776,10543,12944,12080,12120,12722,11570,13524,10735,13430,12483,12126,12985,13432,10795,12998,11287,12724,12753,12760,11135,13444,11398,13713,11099,10964,13727,13957,13966,14404,14605,12018,4410,3791,12782,11091,11130,11467,13749,11422,11292,13718,13858,14031,14153,14208,14441,14615,14624,13460,13261,11132,10600,11556,10908,10723,3486,13850,3462,3375,11364,11449,11197,13249,13252,10913,13522,13558,11906,12426,12415,11388,11436,12521,10450,13000,12014,12076,12016,13744,13936,14197,14205,14240,14258,14264,14311,14316,12066,10921,11354,11148,13868,13913,14024,14046,14074,14225,14326,14378,14385,14435,14553,14740,12334,11151,13752,13802,13899,14655,11393,13797,14231,11500,11470,10903,13683,13736,14471,11008,12281,12284,12778,11587,11405,12685,13548,13576,11428,13807,14095,11166,11432,14459,12589,11307,11145,14211,11050,3038,11821,3974,2,8,7448,8679,8680,8973,9352,10080,7375,5436,6421,8872,5757,5849,5677,5812,6349,8168,5878,5838,4813,5130,5687,8543,5689,6330,7989,6746,8912,9892,8016,9364,5555,6419,5416,5641,7305,6485,8736,9730,9977,6417,4965,5395,9673,9748,8651,5420,9363,10066,8595,5060,9428,9661,7915,5430,6113,6362,7007,7198,8330,8780,9719,5915,5990,9587,7227,6418,8170,7555,4818,5302,5417,9547,5187,9022,4995,6646,8770,6332,4777,6157,6580,5036,5830,7033,7964,9588,9906,6520,6592,5352,6021,8401,10301,6471,6913,6009,10090,6201,5766,6357,7759,9835,8658,5840,8524,8681,9034,7475,9698,5517,5580,8938,5367,6273,6530,6690,9374,9731,5384,5813,6382,6553,8502,6059,6280,8659,8725,5129,9450,5385,9478,5909,6234,6888,9589,5890,9784,5981,9445,10027,5993,5775,4725,6199,8574,6344,9973,9362,6010,4981,6689,9872,10071,5820,5470,5558,6994,8750,4670,5630,6008,4644,9634,9791,9971,5103,7670,9901,8871,8961,5405,9172,5483,7572,6334,6365,8152,7777,8498,9729,5397,9,6578,8572,4691,4847,8633,7288,5628,6180,6769,7315,4723,6274,6416,5293,5586,5658,6868,7112,4931,5383,7142,8825,7874,6467,6926,8355,8742,6812,8049,9188,6428,8935,4727,5366,6031,6136,7009,8661,10302,5490,8596,8657,5403,5686,9213,9542,5379,8771,6899,6139,8175,6857,8617,9847,5246,9075,6178,5732,6007,7464,8598,5297,5378,5660,6160,9746,8707,6029,5310,5320,7032,7837,9848,6924,6939,10110,5292,7671,8593,9550,5611,6379,6869,5058,5486,5753,5768,7953,8187,8691,5253,5268,5760,6016,6204,8500,5771,6384,6846,10304,6068,6231,10381,8374,7474,9753,7558,8589,5035,5901,8753,10061,9050,6599,9032,10067,8808,5610,5449,6643,9783,8888,9836,7905,8584,6205,5245,6476,8868,8934,9311,8718,7851,6283,8821,4775,6328,6392,7825,9451,5943,6828,5614,5059,6895,7626,5376,6293,5282,8729,9173,4768,5131,5136,5818,10363,8597,8528,8933,9618,5480,10073,4966,9424,5472,6876,7312,8458,8846,9204,9913,9728,7450,6847,5826,7496,6156,9171,5316,10077,4769,5642,5137,5415,7873,4853,5411,7284,7903,9890,5531,5824,6196,7076,6237,4773,6629,5319,7520,4729,5835,6176,6893,8169,4939,5857,6097,6236,6346,6925,7492,9404,9937,8440,8723,5109,5648,10089,7619,8594,8727,6289,6891,8632,9063,9420,9790,5966,6631,8923,4916,5295,5532,7498,5720,6433,6845,8962,8781,5398,5254,6230,6896,6373,6479,5767,8728,6552,9655,10303,6475,5327,5902,5816,5828,5188,5629,5198,5121,8652,5842,7623,8113,9205,6055,7069,9064,8789,9062,5324,5691,6195,6521,10209,6477,5822,8441,8186,6179,5284,5877,6351,9140,8265,5779,5061,5871,6468,5673,8254,8564,5296,7581,7689,6848,8080,7473,5482,6232,8508,7545,5429,9242,6174,6011,6003,7901,8660,10078,4819,5855,9346,4753]),
% 190.85/190.76 ['proof']).
% 190.85/190.76 % SZS output end Proof
% 190.85/190.76 % Total time :172.030000s
%------------------------------------------------------------------------------